SATCoP---0.1.THM-Prf.s

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : ALG165+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 17:58:42 EDT 2022

% Result   : Theorem 221.40s 28.25s
% Output   : Proof 221.40s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ( sPE(op(e0,e0),e0)
    | sPE(op(e1,e0),e1)
    | sPE(op(e2,e0),e2)
    | sPE(op(e3,e0),e3)
    | sPE(op(e4,e0),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g1,plain,
    ( sPE(op(e0,e1),e0)
    | sPE(op(e1,e1),e1)
    | sPE(op(e2,e1),e2)
    | sPE(op(e3,e1),e3)
    | sPE(op(e4,e1),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g2,plain,
    ( sPE(op(e0,e2),e0)
    | sPE(op(e1,e2),e1)
    | sPE(op(e2,e2),e2)
    | sPE(op(e3,e2),e3)
    | sPE(op(e4,e2),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g3,plain,
    ( sPE(op(e0,e3),e0)
    | sPE(op(e1,e3),e1)
    | sPE(op(e2,e3),e2)
    | sPE(op(e3,e3),e3)
    | sPE(op(e4,e3),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g4,plain,
    ( sPE(op(e0,e4),e0)
    | sPE(op(e1,e4),e1)
    | sPE(op(e2,e4),e2)
    | sPE(op(e3,e4),e3)
    | sPE(op(e4,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g5,plain,
    ( sPE(op(e0,e0),e0)
    | sPE(op(e0,e1),e1)
    | sPE(op(e0,e2),e2)
    | sPE(op(e0,e3),e3)
    | sPE(op(e0,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g6,plain,
    ( sPE(op(e1,e0),e0)
    | sPE(op(e1,e1),e1)
    | sPE(op(e1,e2),e2)
    | sPE(op(e1,e3),e3)
    | sPE(op(e1,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g7,plain,
    ( sPE(op(e2,e0),e0)
    | sPE(op(e2,e1),e1)
    | sPE(op(e2,e2),e2)
    | sPE(op(e2,e3),e3)
    | sPE(op(e2,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g8,plain,
    ( sPE(op(e3,e0),e0)
    | sPE(op(e3,e1),e1)
    | sPE(op(e3,e2),e2)
    | sPE(op(e3,e3),e3)
    | sPE(op(e3,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g9,plain,
    ( sPE(op(e4,e0),e0)
    | sPE(op(e4,e1),e1)
    | sPE(op(e4,e2),e2)
    | sPE(op(e4,e3),e3)
    | sPE(op(e4,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g10,plain,
    ( ~ sPE(op(e0,op(e0,e0)),e0)
    | ~ sPE(op(e0,op(e0,e1)),e1)
    | ~ sPE(op(e0,op(e0,e2)),e2)
    | ~ sPE(op(e0,op(e0,e3)),e3)
    | ~ sPE(op(e0,op(e0,e4)),e4)
    | ~ sPE(op(e1,op(e1,e0)),e0)
    | ~ sPE(op(e1,op(e1,e1)),e1)
    | ~ sPE(op(e1,op(e1,e2)),e2)
    | ~ sPE(op(e1,op(e1,e3)),e3)
    | ~ sPE(op(e1,op(e1,e4)),e4)
    | ~ sPE(op(e2,op(e2,e0)),e0)
    | ~ sPE(op(e2,op(e2,e1)),e1)
    | ~ sPE(op(e2,op(e2,e2)),e2)
    | ~ sPE(op(e2,op(e2,e3)),e3)
    | ~ sPE(op(e2,op(e2,e4)),e4)
    | ~ sPE(op(e3,op(e3,e0)),e0)
    | ~ sPE(op(e3,op(e3,e1)),e1)
    | ~ sPE(op(e3,op(e3,e2)),e2)
    | ~ sPE(op(e3,op(e3,e3)),e3)
    | ~ sPE(op(e3,op(e3,e4)),e4)
    | ~ sPE(op(e4,op(e4,e0)),e0)
    | ~ sPE(op(e4,op(e4,e1)),e1)
    | ~ sPE(op(e4,op(e4,e2)),e2)
    | ~ sPE(op(e4,op(e4,e3)),e3)
    | ~ sPE(op(e4,op(e4,e4)),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g11,plain,
    ( ~ sPE(op(op(e0,e0),e0),e0)
    | ~ sPE(op(op(e0,e1),e1),e0)
    | ~ sPE(op(op(e0,e2),e2),e0)
    | ~ sPE(op(op(e0,e3),e3),e0)
    | ~ sPE(op(op(e0,e4),e4),e0)
    | ~ sPE(op(op(e1,e0),e0),e1)
    | ~ sPE(op(op(e1,e1),e1),e1)
    | ~ sPE(op(op(e1,e2),e2),e1)
    | ~ sPE(op(op(e1,e3),e3),e1)
    | ~ sPE(op(op(e1,e4),e4),e1)
    | ~ sPE(op(op(e2,e0),e0),e2)
    | ~ sPE(op(op(e2,e1),e1),e2)
    | ~ sPE(op(op(e2,e2),e2),e2)
    | ~ sPE(op(op(e2,e3),e3),e2)
    | ~ sPE(op(op(e2,e4),e4),e2)
    | ~ sPE(op(op(e3,e0),e0),e3)
    | ~ sPE(op(op(e3,e1),e1),e3)
    | ~ sPE(op(op(e3,e2),e2),e3)
    | ~ sPE(op(op(e3,e3),e3),e3)
    | ~ sPE(op(op(e3,e4),e4),e3)
    | ~ sPE(op(op(e4,e0),e0),e4)
    | ~ sPE(op(op(e4,e1),e1),e4)
    | ~ sPE(op(op(e4,e2),e2),e4)
    | ~ sPE(op(op(e4,e3),e3),e4)
    | ~ sPE(op(op(e4,e4),e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)]) ).

cnf(g12,plain,
    ( ~ sPE(e0,op(e2,e0))
    | ~ sPE(op(e2,e0),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e0),e0)
    | sPE(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e0),e3)
    | sPE(op(e0,op(e3,e0)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( ~ sPE(e0,op(e1,e0))
    | ~ sPE(op(e1,e0),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e1,e0),e1)
    | sPE(op(e0,op(e1,e0)),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ sPE(op(e4,e0),e4)
    | sPE(e4,op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e1),e0)
    | sPE(op(e0,op(e0,e1)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE(op(e4,e1),e4)
    | sPE(e4,op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ sPE(op(e2,e1),e2)
    | sPE(e2,op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( ~ sPE(op(e1,e1),e1)
    | sPE(e1,op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e2),e0)
    | sPE(op(e0,op(e0,e2)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g23,plain,
    ( ~ sPE(op(e0,e2),e0)
    | sPE(e0,op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g24,plain,
    ( ~ sPE(e0,op(e1,e2))
    | ~ sPE(op(e1,e2),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g25,plain,
    ( ~ sPE(op(e1,e2),e1)
    | sPE(e1,op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g26,plain,
    ( ~ sPE(e0,op(e4,e2))
    | ~ sPE(op(e4,e2),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e2),e3)
    | sPE(op(e0,op(e3,e2)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g28,plain,
    ( ~ sPE(op(e1,e3),e1)
    | sPE(e1,op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g29,plain,
    ( ~ sPE(e0,op(e4,e3))
    | ~ sPE(op(e4,e3),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g30,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e0,e0)
    | sPE(op(op(e3,e3),e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g31,plain,
    ( ~ sPE(e0,op(e1,e4))
    | ~ sPE(op(e1,e4),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g32,plain,
    ( ~ sPE(op(e1,e4),e1)
    | sPE(e1,op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g33,plain,
    ( ~ sPE(e0,op(e0,e0))
    | ~ sPE(op(e0,e0),e0)
    | sPE(e0,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g34,plain,
    ( ~ sPE(op(e0,e0),e0)
    | ~ sPE(e0,e0)
    | sPE(op(op(e0,e0),e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g35,plain,
    ( ~ sPE(e0,op(e0,e3))
    | ~ sPE(op(e0,e3),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g36,plain,
    ( ~ sPE(op(e0,e3),e3)
    | sPE(e3,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g37,plain,
    ( ~ sPE(op(e0,e1),e1)
    | sPE(e1,op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g38,plain,
    ( ~ sPE(op(e0,e2),e2)
    | sPE(e2,op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g39,plain,
    ( ~ sPE(e0,op(e0,e4))
    | ~ sPE(op(e0,e4),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g40,plain,
    ( ~ sPE(op(e0,e4),e4)
    | sPE(e4,op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g41,plain,
    ( ~ sPE(e0,op(e1,e4))
    | ~ sPE(op(e1,e4),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g42,plain,
    ( ~ sPE(e0,op(e1,e1))
    | ~ sPE(op(e1,e1),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g43,plain,
    ( ~ sPE(op(e1,e3),e3)
    | sPE(e3,op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g44,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e1,e3),e3)
    | sPE(op(e0,op(e1,e3)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g45,plain,
    ( ~ sPE(op(e2,e4),e4)
    | sPE(e4,op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g46,plain,
    ( ~ sPE(op(e2,e2),e2)
    | sPE(e2,op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g47,plain,
    ( ~ sPE(op(e2,e0),e0)
    | sPE(e0,op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g48,plain,
    ( ~ sPE(e0,op(e2,e0))
    | ~ sPE(op(e2,e0),e0)
    | sPE(e0,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g49,plain,
    ( ~ sPE(e0,op(e3,e4))
    | ~ sPE(op(e3,e4),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g50,plain,
    ( ~ sPE(op(e3,e4),e4)
    | sPE(e4,op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g51,plain,
    ( ~ sPE(op(e3,e1),e1)
    | sPE(e1,op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g52,plain,
    ( ~ sPE(op(e3,e1),e1)
    | ~ sPE(e0,e0)
    | sPE(op(op(e3,e1),e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g53,plain,
    ( ~ sPE(e0,op(e3,e2))
    | ~ sPE(op(e3,e2),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g54,plain,
    ( ~ sPE(op(e3,e2),e2)
    | sPE(e2,op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g55,plain,
    ( ~ sPE(op(e3,e3),e3)
    | sPE(e3,op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g56,plain,
    ( ~ sPE(op(e4,e2),e2)
    | sPE(e2,op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g57,plain,
    ( ~ sPE(e0,op(e4,e2))
    | ~ sPE(op(e4,e2),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g58,plain,
    ( ~ sPE(e0,op(e3,e0))
    | ~ sPE(op(e3,e0),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g59,plain,
    ( ~ sPE(op(e2,e0),e2)
    | sPE(e2,op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g60,plain,
    ( ~ sPE(op(e0,e0),e0)
    | sPE(e0,op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g61,plain,
    ( ~ sPE(e0,op(e3,e1))
    | ~ sPE(op(e3,e1),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g62,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e2,e1),e2)
    | sPE(op(e0,op(e2,e1)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g63,plain,
    ( ~ sPE(e0,op(e2,e1))
    | ~ sPE(op(e2,e1),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g64,plain,
    ( ~ sPE(op(e2,e1),e2)
    | ~ sPE(e0,e0)
    | sPE(op(op(e2,e1),e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g65,plain,
    ( ~ sPE(op(e4,e2),e4)
    | sPE(e4,op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g66,plain,
    ( ~ sPE(e0,op(e2,e2))
    | ~ sPE(op(e2,e2),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g67,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e2,e3),e2)
    | sPE(op(e0,op(e2,e3)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g68,plain,
    ( ~ sPE(op(e4,e3),e4)
    | sPE(e4,op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g69,plain,
    ( ~ sPE(op(e0,e3),e0)
    | sPE(e0,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g70,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e3),e3)
    | sPE(op(e0,op(e0,e3)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g71,plain,
    ( ~ sPE(e0,op(e0,e1))
    | ~ sPE(op(e0,e1),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g72,plain,
    ( ~ sPE(e0,op(e0,e2))
    | ~ sPE(op(e0,e2),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g73,plain,
    ( ~ sPE(e0,op(e1,e0))
    | ~ sPE(op(e1,e0),e0)
    | sPE(e0,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g74,plain,
    ( ~ sPE(op(e1,e0),e0)
    | sPE(e0,op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g75,plain,
    ( ~ sPE(op(e2,e3),e3)
    | sPE(e3,op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g76,plain,
    ( ~ sPE(e0,op(e3,e3))
    | ~ sPE(op(e3,e3),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g77,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e3),e3)
    | sPE(op(e0,op(e3,e3)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g78,plain,
    ( ~ sPE(e0,op(e4,e4))
    | ~ sPE(op(e4,e4),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g79,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e2,e0),e2)
    | sPE(op(e0,op(e2,e0)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g80,plain,
    ( ~ sPE(op(e2,e4),e2)
    | sPE(e2,op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g81,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e4),e3)
    | sPE(op(e0,op(e3,e4)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g82,plain,
    ( ~ sPE(op(e1,e4),e4)
    | sPE(e4,op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g83,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e1,e4),e4)
    | sPE(op(e0,op(e1,e4)),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g84,plain,
    ( ~ sPE(e0,op(e4,e3))
    | ~ sPE(op(e4,e3),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g85,plain,
    ( ~ sPE(e0,op(e2,e3))
    | ~ sPE(op(e2,e3),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g86,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e2,e1),e1)
    | sPE(op(e0,op(e2,e1)),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g87,plain,
    ( ~ sPE(op(e3,e1),e3)
    | sPE(e3,op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g88,plain,
    ( ~ sPE(e0,op(e3,e2))
    | ~ sPE(op(e3,e2),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g89,plain,
    ( ~ sPE(e0,op(e1,e3))
    | ~ sPE(op(e1,e3),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g90,plain,
    ( ~ sPE(op(e2,e4),e2)
    | ~ sPE(e0,e0)
    | sPE(op(op(e2,e4),e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g91,plain,
    ( ~ sPE(e0,op(e2,e1))
    | ~ sPE(op(e2,e1),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g92,plain,
    ( ~ sPE(e0,op(e3,e0))
    | ~ sPE(op(e3,e0),e0)
    | sPE(e0,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g93,plain,
    ( ~ sPE(op(e3,e0),e0)
    | sPE(e0,op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g94,plain,
    ( ~ sPE(e0,op(e3,e1))
    | ~ sPE(op(e3,e1),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g95,plain,
    ( ~ sPE(op(e3,e4),e3)
    | sPE(e3,op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g96,plain,
    ( ~ sPE(op(e2,e1),e1)
    | sPE(e1,op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g97,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e2,e3),e3)
    | sPE(op(e0,op(e2,e3)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g98,plain,
    ( ~ sPE(op(e4,e3),e3)
    | sPE(e3,op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g99,plain,
    ( ~ sPE(op(e1,e0),e1)
    | sPE(e1,op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g100,plain,
    ( ~ sPE(e0,op(e4,e1))
    | ~ sPE(op(e4,e1),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g101,plain,
    ( ~ sPE(op(e4,e4),e4)
    | sPE(e4,op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g102,plain,
    ( ~ sPE(e0,op(e4,e1))
    | ~ sPE(op(e4,e1),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g103,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e4,e1),e1)
    | sPE(op(e0,op(e4,e1)),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g104,plain,
    ( ~ sPE(e0,op(e0,op(e0,e0)))
    | sPE(op(e0,op(e0,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g105,plain,
    ( ~ sPE(op(e0,e3),e3)
    | ~ sPE(e0,e0)
    | sPE(op(op(e0,e3),e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g106,plain,
    ( ~ sPE(e0,op(e2,e4))
    | ~ sPE(op(e2,e4),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g107,plain,
    ( ~ sPE(op(e1,e2),e2)
    | sPE(e2,op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g108,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e2),e2)
    | sPE(op(e0,op(e3,e2)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g109,plain,
    ( ~ sPE(op(e3,e4),e4)
    | ~ sPE(e0,e0)
    | sPE(op(op(e3,e4),e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g110,plain,
    ( ~ sPE(op(e2,e3),e2)
    | sPE(e2,op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g111,plain,
    ( ~ sPE(e0,op(e3,e4))
    | ~ sPE(op(e3,e4),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g112,plain,
    ( ~ sPE(op(e3,e0),e3)
    | sPE(e3,op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g113,plain,
    ( ~ sPE(op(e3,e2),e3)
    | sPE(e3,op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g114,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e4),e4)
    | sPE(op(e0,op(e3,e4)),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g115,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e2,e4),e2)
    | sPE(op(e0,op(e2,e4)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g116,plain,
    ( ~ sPE(e0,op(e1,e2))
    | ~ sPE(op(e1,e2),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g117,plain,
    ( ~ sPE(e0,op(e1,e3))
    | ~ sPE(op(e1,e3),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g118,plain,
    ( ~ sPE(e0,op(e2,e3))
    | ~ sPE(op(e2,e3),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g119,plain,
    ( ~ sPE(e0,op(e4,e0))
    | ~ sPE(op(e4,e0),e0)
    | sPE(e0,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g120,plain,
    ( ~ sPE(op(e4,e0),e0)
    | sPE(e0,op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g121,plain,
    ( ~ sPE(e0,op(e4,e0))
    | ~ sPE(op(e4,e0),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g122,plain,
    ( ~ sPE(op(e4,e1),e1)
    | sPE(e1,op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g123,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e4,e1),e4)
    | sPE(op(e0,op(e4,e1)),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g124,plain,
    ( ~ sPE(op(e0,e4),e0)
    | sPE(e0,op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g125,plain,
    ( ~ sPE(e0,op(e2,e4))
    | ~ sPE(op(e2,e4),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g126,plain,
    ( ~ sPE(op(e2,e1),e0)
    | sPE(e0,op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g127,plain,
    ( ~ sPE(e2,op(e2,e1))
    | ~ sPE(op(e2,e1),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g128,plain,
    ( ~ sPE(op(e1,e2),e0)
    | sPE(e0,op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g129,plain,
    ( ~ sPE(e2,op(e2,e3))
    | ~ sPE(op(e2,e3),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g130,plain,
    ( ~ sPE(op(e1,e4),e0)
    | sPE(e0,op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g131,plain,
    ( ~ sPE(op(e2,e4),e0)
    | sPE(e0,op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g132,plain,
    ( ~ sPE(op(e0,e0),op(e2,e4))
    | ~ sPE(op(e2,e4),e2)
    | sPE(op(e0,e0),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g133,plain,
    ( ~ sPE(e2,op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g134,plain,
    ( ~ sPE(e1,op(e0,e1))
    | ~ sPE(op(e0,e1),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g135,plain,
    ( ~ sPE(op(e0,e1),e0)
    | sPE(e0,op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g136,plain,
    ( ~ sPE(op(e3,e3),e0)
    | sPE(e0,op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g137,plain,
    ( ~ sPE(e0,op(e0,op(e3,e2)))
    | ~ sPE(op(e0,op(e3,e2)),op(e0,e2))
    | sPE(e0,op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g138,plain,
    ( ~ sPE(op(e4,e1),e0)
    | sPE(e0,op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g139,plain,
    ( ~ sPE(op(e4,e2),e0)
    | sPE(e0,op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g140,plain,
    ( sPE(op(e0,e2),e0)
    | sPE(op(e0,e2),e1)
    | sPE(op(e0,e2),e2)
    | sPE(op(e0,e2),e3)
    | sPE(op(e0,e2),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g141,plain,
    ( sPE(op(e0,e1),e0)
    | sPE(op(e1,e1),e0)
    | sPE(op(e2,e1),e0)
    | sPE(op(e3,e1),e0)
    | sPE(op(e4,e1),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g142,plain,
    ( sPE(op(e0,e3),e0)
    | sPE(op(e0,e3),e1)
    | sPE(op(e0,e3),e2)
    | sPE(op(e0,e3),e3)
    | sPE(op(e0,e3),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g143,plain,
    ( sPE(op(e1,e0),e0)
    | sPE(op(e1,e1),e0)
    | sPE(op(e1,e2),e0)
    | sPE(op(e1,e3),e0)
    | sPE(op(e1,e4),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g144,plain,
    ( sPE(op(e4,e0),e0)
    | sPE(op(e4,e1),e0)
    | sPE(op(e4,e2),e0)
    | sPE(op(e4,e3),e0)
    | sPE(op(e4,e4),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g145,plain,
    ( sPE(op(e3,e0),e0)
    | sPE(op(e3,e1),e0)
    | sPE(op(e3,e2),e0)
    | sPE(op(e3,e3),e0)
    | sPE(op(e3,e4),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g146,plain,
    ( sPE(op(e1,e2),e0)
    | sPE(op(e1,e2),e1)
    | sPE(op(e1,e2),e2)
    | sPE(op(e1,e2),e3)
    | sPE(op(e1,e2),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g147,plain,
    ( sPE(op(e4,e2),e0)
    | sPE(op(e4,e2),e1)
    | sPE(op(e4,e2),e2)
    | sPE(op(e4,e2),e3)
    | sPE(op(e4,e2),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g148,plain,
    ( sPE(op(e0,e0),e1)
    | sPE(op(e0,e1),e1)
    | sPE(op(e0,e2),e1)
    | sPE(op(e0,e3),e1)
    | sPE(op(e0,e4),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g149,plain,
    ( ~ sPE(e2,op(e2,e0))
    | ~ sPE(op(e2,e0),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g150,plain,
    ( ~ sPE(op(e3,e1),e3)
    | ~ sPE(e3,op(e4,e1))
    | sPE(op(e3,e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g151,plain,
    ~ sPE(op(e3,e1),op(e4,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g152,plain,
    ( ~ sPE(op(e4,e1),e3)
    | sPE(e3,op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g153,plain,
    ( ~ sPE(e3,op(e3,e1))
    | ~ sPE(op(e3,e1),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g154,plain,
    ( ~ sPE(e3,op(e3,e2))
    | ~ sPE(op(e3,e2),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g155,plain,
    ( ~ sPE(e4,op(e4,e3))
    | ~ sPE(op(e4,e3),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g156,plain,
    ( ~ sPE(op(e2,e3),e0)
    | sPE(e0,op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g157,plain,
    ( ~ sPE(e2,op(e1,e2))
    | ~ sPE(op(e1,e2),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g158,plain,
    ( ~ sPE(op(e0,e0),op(e2,e3))
    | ~ sPE(op(e2,e3),e3)
    | sPE(op(e0,e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g159,plain,
    ( ~ sPE(e3,op(e2,e3))
    | ~ sPE(op(e2,e3),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g160,plain,
    ( ~ sPE(e1,op(e2,e1))
    | ~ sPE(op(e2,e1),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g161,plain,
    ( ~ sPE(e1,op(e4,e1))
    | ~ sPE(op(e4,e1),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g162,plain,
    ( ~ sPE(op(e4,e3),e0)
    | sPE(e0,op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g163,plain,
    ( sPE(op(e0,e3),e1)
    | sPE(op(e1,e3),e1)
    | sPE(op(e2,e3),e1)
    | sPE(op(e3,e3),e1)
    | sPE(op(e4,e3),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g164,plain,
    ( sPE(op(e4,e1),e0)
    | sPE(op(e4,e1),e1)
    | sPE(op(e4,e1),e2)
    | sPE(op(e4,e1),e3)
    | sPE(op(e4,e1),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g165,plain,
    ( sPE(op(e2,e3),e0)
    | sPE(op(e2,e3),e1)
    | sPE(op(e2,e3),e2)
    | sPE(op(e2,e3),e3)
    | sPE(op(e2,e3),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g166,plain,
    ( sPE(op(e3,e1),e0)
    | sPE(op(e3,e1),e1)
    | sPE(op(e3,e1),e2)
    | sPE(op(e3,e1),e3)
    | sPE(op(e3,e1),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g167,plain,
    ( sPE(op(e0,e4),e1)
    | sPE(op(e1,e4),e1)
    | sPE(op(e2,e4),e1)
    | sPE(op(e3,e4),e1)
    | sPE(op(e4,e4),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g168,plain,
    ( ~ sPE(e1,op(e1,e0))
    | ~ sPE(op(e1,e0),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g169,plain,
    ( ~ sPE(e0,op(e0,op(e1,e0)))
    | ~ sPE(op(e0,op(e1,e0)),op(e0,e1))
    | sPE(e0,op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g170,plain,
    ( sPE(op(e0,e3),e0)
    | sPE(op(e1,e3),e0)
    | sPE(op(e2,e3),e0)
    | sPE(op(e3,e3),e0)
    | sPE(op(e4,e3),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g171,plain,
    ( sPE(op(e0,e0),e0)
    | sPE(op(e1,e0),e0)
    | sPE(op(e2,e0),e0)
    | sPE(op(e3,e0),e0)
    | sPE(op(e4,e0),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g172,plain,
    ( sPE(op(e1,e3),e0)
    | sPE(op(e1,e3),e1)
    | sPE(op(e1,e3),e2)
    | sPE(op(e1,e3),e3)
    | sPE(op(e1,e3),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g173,plain,
    ( ~ sPE(e0,op(e0,e1))
    | sPE(op(e0,e1),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g174,plain,
    ( ~ sPE(e1,op(e1,e2))
    | ~ sPE(op(e1,e2),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g175,plain,
    ( ~ sPE(op(e3,e2),e0)
    | sPE(e0,op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g176,plain,
    ( sPE(op(e0,e0),e2)
    | sPE(op(e0,e1),e2)
    | sPE(op(e0,e2),e2)
    | sPE(op(e0,e3),e2)
    | sPE(op(e0,e4),e2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g177,plain,
    ( sPE(op(e1,e1),e0)
    | sPE(op(e1,e1),e1)
    | sPE(op(e1,e1),e2)
    | sPE(op(e1,e1),e3)
    | sPE(op(e1,e1),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g178,plain,
    ( sPE(op(e0,e2),e2)
    | sPE(op(e1,e2),e2)
    | sPE(op(e2,e2),e2)
    | sPE(op(e3,e2),e2)
    | sPE(op(e4,e2),e2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g179,plain,
    ( sPE(op(e1,e0),e0)
    | sPE(op(e1,e0),e1)
    | sPE(op(e1,e0),e2)
    | sPE(op(e1,e0),e3)
    | sPE(op(e1,e0),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g180,plain,
    ( sPE(op(e0,e1),e2)
    | sPE(op(e1,e1),e2)
    | sPE(op(e2,e1),e2)
    | sPE(op(e3,e1),e2)
    | sPE(op(e4,e1),e2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g181,plain,
    ( sPE(op(e1,e0),e2)
    | sPE(op(e1,e1),e2)
    | sPE(op(e1,e2),e2)
    | sPE(op(e1,e3),e2)
    | sPE(op(e1,e4),e2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g182,plain,
    ( sPE(op(e4,e3),e0)
    | sPE(op(e4,e3),e1)
    | sPE(op(e4,e3),e2)
    | sPE(op(e4,e3),e3)
    | sPE(op(e4,e3),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g183,plain,
    ( sPE(op(e2,e0),e2)
    | sPE(op(e2,e1),e2)
    | sPE(op(e2,e2),e2)
    | sPE(op(e2,e3),e2)
    | sPE(op(e2,e4),e2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g184,plain,
    ( sPE(op(e3,e0),e2)
    | sPE(op(e3,e1),e2)
    | sPE(op(e3,e2),e2)
    | sPE(op(e3,e3),e2)
    | sPE(op(e3,e4),e2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g185,plain,
    sPE(op(op(e1,e2),op(e2,e1)),e2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g186,plain,
    ( ~ sPE(op(e0,op(e2,e3)),op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(op(e0,op(e2,e3)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g187,plain,
    ( ~ sPE(op(e0,op(e0,e0)),op(e0,e3))
    | ~ sPE(op(e0,e3),e0)
    | sPE(op(e0,op(e0,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g188,plain,
    ( ~ sPE(op(e0,e3),e0)
    | ~ sPE(e0,op(e4,e3))
    | sPE(op(e0,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g189,plain,
    ~ sPE(op(e0,e3),op(e4,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g190,plain,
    ( ~ sPE(e0,op(e0,e3))
    | sPE(op(e0,e3),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g191,plain,
    ( sPE(op(e0,e0),e3)
    | sPE(op(e0,e1),e3)
    | sPE(op(e0,e2),e3)
    | sPE(op(e0,e3),e3)
    | sPE(op(e0,e4),e3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g192,plain,
    ( sPE(op(e0,e2),e3)
    | sPE(op(e1,e2),e3)
    | sPE(op(e2,e2),e3)
    | sPE(op(e3,e2),e3)
    | sPE(op(e4,e2),e3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g193,plain,
    ( sPE(op(e2,e0),e3)
    | sPE(op(e2,e1),e3)
    | sPE(op(e2,e2),e3)
    | sPE(op(e2,e3),e3)
    | sPE(op(e2,e4),e3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g194,plain,
    ( ~ sPE(op(e3,e4),e0)
    | sPE(e0,op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g195,plain,
    ( ~ sPE(e1,op(e3,e4))
    | ~ sPE(op(e3,e4),e3)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g196,plain,
    ( ~ sPE(op(e3,e4),e1)
    | sPE(e1,op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g197,plain,
    ~ sPE(e1,e3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5)]) ).

cnf(g198,plain,
    ( ~ sPE(op(e0,op(e0,e0)),op(e0,e0))
    | sPE(op(e0,e0),op(e0,op(e0,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g199,plain,
    ( ~ sPE(op(e1,e0),e0)
    | ~ sPE(e0,op(e1,e1))
    | sPE(op(e1,e0),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g200,plain,
    ~ sPE(op(e1,e0),op(e1,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g201,plain,
    ( ~ sPE(op(e1,e1),e0)
    | sPE(e0,op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g202,plain,
    ( ~ sPE(op(op(e0,e0),e0),op(e1,e0))
    | ~ sPE(op(e1,e0),e0)
    | sPE(op(op(e0,e0),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g203,plain,
    ( ~ sPE(e0,op(e1,e0))
    | sPE(op(e1,e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g204,plain,
    ( ~ sPE(e3,op(e1,e3))
    | ~ sPE(op(e1,e3),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g205,plain,
    ( ~ sPE(e1,op(e2,e3))
    | ~ sPE(op(e2,e3),e3)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g206,plain,
    ( ~ sPE(op(e2,e3),e1)
    | sPE(e1,op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g207,plain,
    ( ~ sPE(op(op(e2,e2),op(e2,e2)),e2)
    | sPE(e2,op(op(e2,e2),op(e2,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g208,plain,
    ( sPE(op(e0,e4),e2)
    | sPE(op(e1,e4),e2)
    | sPE(op(e2,e4),e2)
    | sPE(op(e3,e4),e2)
    | sPE(op(e4,e4),e2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g209,plain,
    ( sPE(op(e1,e0),e3)
    | sPE(op(e1,e1),e3)
    | sPE(op(e1,e2),e3)
    | sPE(op(e1,e3),e3)
    | sPE(op(e1,e4),e3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g210,plain,
    sPE(op(op(e0,e3),op(e3,e0)),e3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g211,plain,
    ( ~ sPE(op(op(e3,e4),e4),op(e2,e4))
    | ~ sPE(op(e2,e4),e3)
    | sPE(op(op(e3,e4),e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g212,plain,
    ( sPE(op(e0,e4),e3)
    | sPE(op(e1,e4),e3)
    | sPE(op(e2,e4),e3)
    | sPE(op(e3,e4),e3)
    | sPE(op(e4,e4),e3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g213,plain,
    ( ~ sPE(e4,op(e4,e0))
    | ~ sPE(op(e4,e0),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g214,plain,
    ( ~ sPE(op(op(e4,e0),e0),e4)
    | sPE(e4,op(op(e4,e0),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g215,plain,
    ( ~ sPE(e4,op(e4,e1))
    | ~ sPE(op(e4,e1),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g216,plain,
    ( ~ sPE(op(e0,op(e2,e1)),op(e0,e2))
    | sPE(op(e0,e2),op(e0,op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g217,plain,
    ( ~ sPE(op(op(e2,e1),e0),op(e2,e0))
    | ~ sPE(op(e2,e0),e0)
    | sPE(op(op(e2,e1),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g218,plain,
    ( ~ sPE(op(op(e2,e1),e0),op(e2,e0))
    | sPE(op(e2,e0),op(op(e2,e1),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g219,plain,
    ( ~ sPE(e0,op(op(e2,e1),e0))
    | ~ sPE(op(op(e2,e1),e0),op(e2,e0))
    | sPE(e0,op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g220,plain,
    ( ~ sPE(e4,op(e4,e2))
    | ~ sPE(op(e4,e2),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g221,plain,
    ( ~ sPE(op(e0,e0),op(e4,e2))
    | ~ sPE(op(e4,e2),e4)
    | sPE(op(e0,e0),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g222,plain,
    ( ~ sPE(e1,op(e1,e3))
    | ~ sPE(op(e1,e3),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g223,plain,
    ( ~ sPE(op(e2,e3),e2)
    | ~ sPE(op(e3,e2),e3)
    | sPE(op(op(e2,e3),op(e3,e2)),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g224,plain,
    ( ~ sPE(op(op(e2,e3),op(e3,e2)),op(e2,e3))
    | ~ sPE(op(e2,e3),e2)
    | sPE(op(op(e2,e3),op(e3,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g225,plain,
    ( ~ sPE(e3,e0)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g226,plain,
    ( sPE(op(e0,e1),e3)
    | sPE(op(e1,e1),e3)
    | sPE(op(e2,e1),e3)
    | sPE(op(e3,e1),e3)
    | sPE(op(e4,e1),e3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g227,plain,
    ( ~ sPE(e3,op(e3,e4))
    | ~ sPE(op(e3,e4),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g228,plain,
    ( ~ sPE(e2,op(e2,e4))
    | ~ sPE(op(e2,e4),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g229,plain,
    ( ~ sPE(e0,op(op(e2,e4),e0))
    | ~ sPE(op(op(e2,e4),e0),op(e2,e0))
    | sPE(e0,op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g230,plain,
    ( ~ sPE(op(op(e2,e4),e0),op(e2,e0))
    | ~ sPE(op(e2,e0),e0)
    | sPE(op(op(e2,e4),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g231,plain,
    ( ~ sPE(op(e0,op(e2,e4)),op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(op(e0,op(e2,e4)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g232,plain,
    ( ~ sPE(e4,op(e0,e4))
    | ~ sPE(op(e0,e4),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g233,plain,
    ( ~ sPE(op(e1,e0),e0)
    | ~ sPE(e0,op(e1,e2))
    | sPE(op(e1,e0),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g234,plain,
    ~ sPE(op(e1,e0),op(e1,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g235,plain,
    ( ~ sPE(op(e1,e3),e0)
    | sPE(e0,op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g236,plain,
    ( sPE(op(e3,e4),e0)
    | sPE(op(e3,e4),e1)
    | sPE(op(e3,e4),e2)
    | sPE(op(e3,e4),e3)
    | sPE(op(e3,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g237,plain,
    ( sPE(op(e1,e0),e1)
    | sPE(op(e1,e1),e1)
    | sPE(op(e1,e2),e1)
    | sPE(op(e1,e3),e1)
    | sPE(op(e1,e4),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g238,plain,
    ( sPE(op(e0,e0),e1)
    | sPE(op(e1,e0),e1)
    | sPE(op(e2,e0),e1)
    | sPE(op(e3,e0),e1)
    | sPE(op(e4,e0),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g239,plain,
    ( sPE(op(e0,e1),e1)
    | sPE(op(e1,e1),e1)
    | sPE(op(e2,e1),e1)
    | sPE(op(e3,e1),e1)
    | sPE(op(e4,e1),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g240,plain,
    ( sPE(op(e3,e3),e0)
    | sPE(op(e3,e3),e1)
    | sPE(op(e3,e3),e2)
    | sPE(op(e3,e3),e3)
    | sPE(op(e3,e3),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g241,plain,
    sPE(op(op(e2,e1),op(e1,e2)),e1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g242,plain,
    ( ~ sPE(e0,op(op(e2,e2),op(e2,e2)))
    | ~ sPE(op(op(e2,e2),op(e2,e2)),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g243,plain,
    ( ~ sPE(e0,op(e0,op(e2,e3)))
    | ~ sPE(op(e0,op(e2,e3)),op(e0,e3))
    | sPE(e0,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g244,plain,
    sPE(op(op(e3,e2),op(e2,e3)),e2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g245,plain,
    ( ~ sPE(op(op(e3,e1),e0),op(e1,e0))
    | ~ sPE(op(e1,e0),e0)
    | sPE(op(op(e3,e1),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g246,plain,
    ( ~ sPE(e2,op(e3,e2))
    | ~ sPE(op(e3,e2),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g247,plain,
    ( sPE(op(e3,e0),e3)
    | sPE(op(e3,e1),e3)
    | sPE(op(e3,e2),e3)
    | sPE(op(e3,e3),e3)
    | sPE(op(e3,e4),e3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g248,plain,
    ( ~ sPE(e0,op(e0,op(e4,e1)))
    | ~ sPE(op(e0,op(e4,e1)),op(e0,e1))
    | sPE(e0,op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g249,plain,
    ( ~ sPE(op(e0,op(e4,e1)),op(e0,e1))
    | sPE(op(e0,e1),op(e0,op(e4,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g250,plain,
    ( ~ sPE(op(e0,op(e4,e1)),op(e0,e1))
    | ~ sPE(op(e0,e1),e0)
    | sPE(op(e0,op(e4,e1)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g251,plain,
    ( ~ sPE(op(e1,op(e1,e1)),op(e1,e1))
    | ~ sPE(op(e1,e1),e1)
    | sPE(op(e1,op(e1,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g252,plain,
    ( sPE(op(e2,e0),e1)
    | sPE(op(e2,e1),e1)
    | sPE(op(e2,e2),e1)
    | sPE(op(e2,e3),e1)
    | sPE(op(e2,e4),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g253,plain,
    sPE(op(op(e1,e1),op(e1,e1)),e1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g254,plain,
    ( ~ sPE(op(op(e4,e4),e4),op(e1,e4))
    | ~ sPE(op(e1,e4),e4)
    | sPE(op(op(e4,e4),e4),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g255,plain,
    ( sPE(op(e0,e4),e4)
    | sPE(op(e1,e4),e4)
    | sPE(op(e2,e4),e4)
    | sPE(op(e3,e4),e4)
    | sPE(op(e4,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g256,plain,
    ( sPE(op(e0,e1),e4)
    | sPE(op(e1,e1),e4)
    | sPE(op(e2,e1),e4)
    | sPE(op(e3,e1),e4)
    | sPE(op(e4,e1),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g257,plain,
    ( ~ sPE(e4,e0)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g258,plain,
    ( sPE(op(e0,e2),e4)
    | sPE(op(e1,e2),e4)
    | sPE(op(e2,e2),e4)
    | sPE(op(e3,e2),e4)
    | sPE(op(e4,e2),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g259,plain,
    ( ~ sPE(op(e0,e0),e0)
    | ~ sPE(e0,op(e0,e3))
    | sPE(op(e0,e0),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g260,plain,
    ~ sPE(op(e0,e0),op(e0,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g261,plain,
    ( ~ sPE(op(op(e0,e0),e0),op(e0,e0))
    | sPE(op(e0,e0),op(op(e0,e0),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g262,plain,
    ( ~ sPE(op(e2,e1),e2)
    | ~ sPE(op(e1,e2),e1)
    | sPE(op(op(e2,e1),op(e1,e2)),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g263,plain,
    ( ~ sPE(op(op(e2,e1),op(e1,e2)),op(e2,e1))
    | ~ sPE(op(e2,e1),e2)
    | sPE(op(op(e2,e1),op(e1,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g264,plain,
    ( sPE(op(e2,e0),e0)
    | sPE(op(e2,e0),e1)
    | sPE(op(e2,e0),e2)
    | sPE(op(e2,e0),e3)
    | sPE(op(e2,e0),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g265,plain,
    ( sPE(op(e0,e2),e1)
    | sPE(op(e1,e2),e1)
    | sPE(op(e2,e2),e1)
    | sPE(op(e3,e2),e1)
    | sPE(op(e4,e2),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g266,plain,
    ( ~ sPE(op(e0,e0),e0)
    | ~ sPE(e0,op(e3,e0))
    | sPE(op(e0,e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g267,plain,
    ~ sPE(op(e0,e0),op(e3,e0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g268,plain,
    ( ~ sPE(e0,op(e0,op(e1,e3)))
    | ~ sPE(op(e0,op(e1,e3)),op(e0,e3))
    | sPE(e0,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g269,plain,
    ( ~ sPE(op(e1,e4),e4)
    | ~ sPE(e4,op(e3,e4))
    | sPE(op(e1,e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g270,plain,
    ~ sPE(op(e1,e4),op(e3,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g271,plain,
    ( ~ sPE(op(e2,e2),e0)
    | sPE(e0,op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g272,plain,
    ( ~ sPE(op(e3,e1),e0)
    | sPE(e0,op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g273,plain,
    ( ~ sPE(e1,op(e3,e1))
    | ~ sPE(op(e3,e1),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g274,plain,
    ( sPE(op(e0,e1),e0)
    | sPE(op(e0,e1),e1)
    | sPE(op(e0,e1),e2)
    | sPE(op(e0,e1),e3)
    | sPE(op(e0,e1),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g275,plain,
    ( sPE(op(e4,e0),e3)
    | sPE(op(e4,e1),e3)
    | sPE(op(e4,e2),e3)
    | sPE(op(e4,e3),e3)
    | sPE(op(e4,e4),e3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g276,plain,
    ( sPE(op(e2,e2),e0)
    | sPE(op(e2,e2),e1)
    | sPE(op(e2,e2),e2)
    | sPE(op(e2,e2),e3)
    | sPE(op(e2,e2),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g277,plain,
    sPE(op(op(e4,e3),op(e3,e4)),e3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g278,plain,
    ( sPE(op(e2,e4),e0)
    | sPE(op(e2,e4),e1)
    | sPE(op(e2,e4),e2)
    | sPE(op(e2,e4),e3)
    | sPE(op(e2,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g279,plain,
    ( ~ sPE(op(e0,e0),op(e3,e1))
    | ~ sPE(op(e3,e1),e3)
    | sPE(op(e0,e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g280,plain,
    ( ~ sPE(op(e0,e3),e0)
    | ~ sPE(e0,op(e2,e3))
    | sPE(op(e0,e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g281,plain,
    ~ sPE(op(e0,e3),op(e2,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g282,plain,
    ( ~ sPE(e0,op(e0,op(e3,e4)))
    | ~ sPE(op(e0,op(e3,e4)),op(e0,e3))
    | sPE(e0,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g283,plain,
    ( ~ sPE(op(e4,e2),e2)
    | ~ sPE(op(e2,e4),e4)
    | sPE(op(op(e4,e2),op(e2,e4)),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g284,plain,
    ( sPE(op(e0,e0),e2)
    | sPE(op(e1,e0),e2)
    | sPE(op(e2,e0),e2)
    | sPE(op(e3,e0),e2)
    | sPE(op(e4,e0),e2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g285,plain,
    ( ~ sPE(e0,op(e0,op(e4,e1)))
    | ~ sPE(op(e0,op(e4,e1)),op(e0,e4))
    | sPE(e0,op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g286,plain,
    ( ~ sPE(op(e0,op(e1,e4)),op(e0,e4))
    | ~ sPE(op(e0,e4),e0)
    | sPE(op(e0,op(e1,e4)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g287,plain,
    ( sPE(op(e3,e0),e1)
    | sPE(op(e3,e1),e1)
    | sPE(op(e3,e2),e1)
    | sPE(op(e3,e3),e1)
    | sPE(op(e3,e4),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g288,plain,
    ( ~ sPE(op(e1,e3),e3)
    | ~ sPE(e3,op(e3,e3))
    | sPE(op(e1,e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g289,plain,
    ~ sPE(op(e1,e3),op(e3,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g290,plain,
    ( ~ sPE(e0,op(op(e3,e3),e0))
    | ~ sPE(op(op(e3,e3),e0),op(e3,e0))
    | sPE(e0,op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g291,plain,
    ( sPE(op(e4,e0),e2)
    | sPE(op(e4,e1),e2)
    | sPE(op(e4,e2),e2)
    | sPE(op(e4,e3),e2)
    | sPE(op(e4,e4),e2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g292,plain,
    ( ~ sPE(e0,op(e0,op(e0,e3)))
    | ~ sPE(op(e0,op(e0,e3)),op(e0,e3))
    | sPE(e0,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g293,plain,
    ( ~ sPE(op(e1,e0),e0)
    | ~ sPE(e0,op(e1,e3))
    | sPE(op(e1,e0),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g294,plain,
    ~ sPE(op(e1,e0),op(e1,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g295,plain,
    ( ~ sPE(e4,op(e1,e4))
    | ~ sPE(op(e1,e4),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g296,plain,
    ( ~ sPE(e4,op(e2,e4))
    | ~ sPE(op(e2,e4),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g297,plain,
    ( ~ sPE(op(e4,e4),e0)
    | sPE(e0,op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g298,plain,
    ( ~ sPE(e0,op(e0,op(e3,e0)))
    | ~ sPE(op(e0,op(e3,e0)),op(e0,e3))
    | sPE(e0,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g299,plain,
    ( ~ sPE(e2,op(e4,e0))
    | ~ sPE(op(e4,e0),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g300,plain,
    ~ sPE(e2,e4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5)]) ).

cnf(g301,plain,
    ( ~ sPE(op(e4,e0),e2)
    | sPE(e2,op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g302,plain,
    ( ~ sPE(op(e4,e0),e4)
    | ~ sPE(e4,op(e4,e4))
    | sPE(op(e4,e0),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g303,plain,
    ~ sPE(op(e4,e0),op(e4,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g304,plain,
    ( ~ sPE(e1,e0)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g305,plain,
    sPE(op(op(e0,e1),op(e1,e0)),e1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g306,plain,
    ( ~ sPE(e0,op(e0,op(e3,e2)))
    | ~ sPE(op(e0,op(e3,e2)),op(e0,e3))
    | sPE(e0,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g307,plain,
    ( ~ sPE(op(e0,op(e0,e2)),op(e0,e0))
    | sPE(op(e0,e0),op(e0,op(e0,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g308,plain,
    ( sPE(op(e0,e0),e4)
    | sPE(op(e1,e0),e4)
    | sPE(op(e2,e0),e4)
    | sPE(op(e3,e0),e4)
    | sPE(op(e4,e0),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g309,plain,
    ( sPE(op(e2,e0),e4)
    | sPE(op(e2,e1),e4)
    | sPE(op(e2,e2),e4)
    | sPE(op(e2,e3),e4)
    | sPE(op(e2,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g310,plain,
    sPE(op(op(e1,e4),op(e4,e1)),e4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g311,plain,
    ( ~ sPE(op(op(e0,e3),e0),op(e3,e0))
    | sPE(op(e3,e0),op(op(e0,e3),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g312,plain,
    ( ~ sPE(e3,op(e0,e3))
    | ~ sPE(op(e0,e3),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g313,plain,
    ( ~ sPE(e2,e0)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g314,plain,
    sPE(op(op(e2,e2),op(e2,e2)),e2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g315,plain,
    ( ~ sPE(e0,op(e4,e0))
    | sPE(op(e4,e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g316,plain,
    ( ~ sPE(op(e4,e0),e0)
    | ~ sPE(e0,op(e4,e4))
    | sPE(op(e4,e0),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g317,plain,
    ( sPE(op(e0,e0),e3)
    | sPE(op(e1,e0),e3)
    | sPE(op(e2,e0),e3)
    | sPE(op(e3,e0),e3)
    | sPE(op(e4,e0),e3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g318,plain,
    ( ~ sPE(op(e0,op(e0,e0)),e0)
    | sPE(e0,op(e0,op(e0,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g319,plain,
    ( ~ sPE(op(e0,op(e0,e4)),e4)
    | sPE(e4,op(e0,op(e0,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g320,plain,
    ( sPE(op(e4,e0),e4)
    | sPE(op(e4,e1),e4)
    | sPE(op(e4,e2),e4)
    | sPE(op(e4,e3),e4)
    | sPE(op(e4,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g321,plain,
    sPE(op(op(e3,e4),op(e4,e3)),e4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g322,plain,
    ( ~ sPE(op(e0,e0),e0)
    | ~ sPE(e0,op(e0,e1))
    | sPE(op(e0,e0),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g323,plain,
    ~ sPE(op(e0,e0),op(e0,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g324,plain,
    ( ~ sPE(op(e0,op(e0,e0)),op(e0,e1))
    | ~ sPE(op(e0,e1),e0)
    | sPE(op(e0,op(e0,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g325,plain,
    ( ~ sPE(op(e0,op(e2,e1)),op(e0,e1))
    | ~ sPE(op(e0,e1),e0)
    | sPE(op(e0,op(e2,e1)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g326,plain,
    ( ~ sPE(op(e0,op(e2,e0)),op(e0,e2))
    | sPE(op(e0,e2),op(e0,op(e2,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g327,plain,
    ( ~ sPE(op(e0,op(e0,e1)),op(e0,e3))
    | ~ sPE(op(e0,e3),e1)
    | sPE(op(e0,op(e0,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g328,plain,
    ~ sPE(op(e1,e4),op(e4,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g329,plain,
    ( ~ sPE(e3,op(e3,e0))
    | ~ sPE(op(e3,e0),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g330,plain,
    ( ~ sPE(op(e0,op(e0,e1)),op(e0,e0))
    | sPE(op(e0,e0),op(e0,op(e0,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g331,plain,
    ( ~ sPE(op(e3,e2),e2)
    | ~ sPE(op(e2,e3),e3)
    | sPE(op(op(e3,e2),op(e2,e3)),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g332,plain,
    ( ~ sPE(op(op(e3,e2),op(e2,e3)),op(e2,e3))
    | ~ sPE(op(e2,e3),e3)
    | sPE(op(op(e3,e2),op(e2,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g333,plain,
    ( sPE(op(e0,e3),e2)
    | sPE(op(e1,e3),e2)
    | sPE(op(e2,e3),e2)
    | sPE(op(e3,e3),e2)
    | sPE(op(e4,e3),e2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g334,plain,
    ( ~ sPE(op(e1,e0),e1)
    | ~ sPE(e1,op(e1,e3))
    | sPE(op(e1,e0),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g335,plain,
    ( ~ sPE(op(e4,e1),e4)
    | ~ sPE(e4,op(e4,e4))
    | sPE(op(e4,e1),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g336,plain,
    ~ sPE(op(e4,e1),op(e4,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g337,plain,
    ( sPE(op(e1,e0),e4)
    | sPE(op(e1,e1),e4)
    | sPE(op(e1,e2),e4)
    | sPE(op(e1,e3),e4)
    | sPE(op(e1,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g338,plain,
    ( ~ sPE(op(op(e4,e0),e0),op(e1,e0))
    | ~ sPE(op(e1,e0),e4)
    | sPE(op(op(e4,e0),e0),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g339,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(op(e1,e1),e1)
    | sPE(op(e1,op(e1,e1)),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g340,plain,
    ( ~ sPE(op(e4,op(e4,e3)),op(e4,e1))
    | ~ sPE(op(e4,e1),e3)
    | sPE(op(e4,op(e4,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g341,plain,
    ( ~ sPE(op(e4,op(e4,e3)),op(e4,e0))
    | ~ sPE(op(e4,e0),e3)
    | sPE(op(e4,op(e4,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g342,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(op(e4,e3),e0)
    | sPE(op(e4,op(e4,e3)),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g343,plain,
    ~ sPE(op(e4,e1),op(e4,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g344,plain,
    ( ~ sPE(op(e4,e2),e1)
    | sPE(e1,op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g345,plain,
    ( ~ sPE(op(e4,e0),e0)
    | ~ sPE(e0,op(e4,e3))
    | sPE(op(e4,e0),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g346,plain,
    ~ sPE(op(e4,e0),op(e4,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g347,plain,
    ( sPE(op(e4,e4),e0)
    | sPE(op(e4,e4),e1)
    | sPE(op(e4,e4),e2)
    | sPE(op(e4,e4),e3)
    | sPE(op(e4,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g348,plain,
    sPE(op(op(e4,e2),op(e2,e4)),e2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g349,plain,
    sPE(op(op(e0,e2),op(e2,e0)),e2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g350,plain,
    ( sPE(op(e0,e0),e4)
    | sPE(op(e0,e1),e4)
    | sPE(op(e0,e2),e4)
    | sPE(op(e0,e3),e4)
    | sPE(op(e0,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g351,plain,
    sPE(op(op(e4,e4),op(e4,e4)),e4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g352,plain,
    ( ~ sPE(e0,op(e0,e4))
    | sPE(op(e0,e4),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g353,plain,
    ( ~ sPE(op(e1,e4),e1)
    | ~ sPE(e1,op(e3,e4))
    | sPE(op(e1,e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g354,plain,
    sPE(op(op(e2,e4),op(e4,e2)),e4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g355,plain,
    ( ~ sPE(op(e0,e0),e0)
    | ~ sPE(e0,op(e0,e2))
    | sPE(op(e0,e0),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g356,plain,
    ~ sPE(op(e0,e0),op(e0,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g357,plain,
    ( sPE(op(e2,e1),e0)
    | sPE(op(e2,e1),e1)
    | sPE(op(e2,e1),e2)
    | sPE(op(e2,e1),e3)
    | sPE(op(e2,e1),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g358,plain,
    ( ~ sPE(op(e3,e2),e2)
    | ~ sPE(e2,op(e3,e3))
    | sPE(op(e3,e2),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g359,plain,
    ~ sPE(op(e3,e2),op(e3,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g360,plain,
    ( ~ sPE(op(e3,e3),e2)
    | sPE(e2,op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g361,plain,
    ( ~ sPE(op(e1,op(e1,e2)),op(e1,e3))
    | ~ sPE(op(e1,e3),e2)
    | sPE(op(e1,op(e1,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g362,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(op(e1,e2),e3)
    | sPE(op(e1,op(e1,e2)),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g363,plain,
    ( ~ sPE(op(e3,e2),e3)
    | ~ sPE(e3,op(e4,e2))
    | sPE(op(e3,e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g364,plain,
    ~ sPE(op(e3,e2),op(e4,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g365,plain,
    ( ~ sPE(op(e4,e2),e3)
    | sPE(e3,op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g366,plain,
    ( ~ sPE(op(e0,op(e0,e0)),op(e0,e4))
    | ~ sPE(op(e0,e4),e0)
    | sPE(op(e0,op(e0,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g367,plain,
    ( ~ sPE(op(e4,e0),e0)
    | ~ sPE(e0,op(e4,e2))
    | sPE(op(e4,e0),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g368,plain,
    ~ sPE(op(e4,e0),op(e4,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g369,plain,
    ( ~ sPE(op(e4,op(e4,e1)),op(e4,e2))
    | ~ sPE(op(e4,e2),e1)
    | sPE(op(e4,op(e4,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g370,plain,
    ( sPE(op(e4,e0),e1)
    | sPE(op(e4,e1),e1)
    | sPE(op(e4,e2),e1)
    | sPE(op(e4,e3),e1)
    | sPE(op(e4,e4),e1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g371,plain,
    ( sPE(op(e0,e3),e4)
    | sPE(op(e1,e3),e4)
    | sPE(op(e2,e3),e4)
    | sPE(op(e3,e3),e4)
    | sPE(op(e4,e3),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g372,plain,
    ( sPE(op(e3,e0),e4)
    | sPE(op(e3,e1),e4)
    | sPE(op(e3,e2),e4)
    | sPE(op(e3,e3),e4)
    | sPE(op(e3,e4),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g373,plain,
    ( ~ sPE(op(e4,e1),e4)
    | ~ sPE(e4,op(e4,e3))
    | sPE(op(e4,e1),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g374,plain,
    ~ sPE(op(e4,e1),op(e4,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g375,plain,
    ( ~ sPE(op(e4,e0),e0)
    | ~ sPE(e0,op(e4,e1))
    | sPE(op(e4,e0),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g376,plain,
    ~ sPE(op(e4,e0),op(e4,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g377,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e3,e4))
    | sPE(op(e3,e3),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g378,plain,
    ~ sPE(op(e3,e3),op(e3,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g379,plain,
    sPE(op(op(e3,e3),op(e3,e3)),e3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g380,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e4,e3))
    | sPE(op(e3,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g381,plain,
    ~ sPE(op(e3,e3),op(e4,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g382,plain,
    ( ~ sPE(op(op(e1,e4),e4),op(e4,e4))
    | ~ sPE(op(e4,e4),e1)
    | sPE(op(op(e1,e4),e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g383,plain,
    sPE(op(op(e4,e1),op(e1,e4)),e1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g384,plain,
    ( ~ sPE(op(e2,op(e2,e1)),op(e2,e0))
    | ~ sPE(op(e2,e0),e1)
    | sPE(op(e2,op(e2,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g385,plain,
    ( ~ sPE(op(op(e2,e1),e1),op(e3,e1))
    | ~ sPE(op(e3,e1),e2)
    | sPE(op(op(e2,e1),e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g386,plain,
    ( ~ sPE(op(op(e2,e1),e1),op(e1,e1))
    | ~ sPE(op(e1,e1),e2)
    | sPE(op(op(e2,e1),e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g387,plain,
    ( ~ sPE(op(op(e2,e1),e1),op(e2,e1))
    | ~ sPE(op(e2,e1),e2)
    | sPE(op(op(e2,e1),e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g388,plain,
    ( ~ sPE(op(op(e2,e1),e1),op(e0,e1))
    | ~ sPE(op(e0,e1),e2)
    | sPE(op(op(e2,e1),e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g389,plain,
    ( ~ sPE(op(op(e2,e1),e1),op(e4,e1))
    | ~ sPE(op(e4,e1),e2)
    | sPE(op(op(e2,e1),e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g390,plain,
    ( ~ sPE(op(e4,e1),e4)
    | ~ sPE(e4,op(e4,e2))
    | sPE(op(e4,e1),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g391,plain,
    sPE(e2,e2),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g392,plain,
    ( ~ sPE(op(e3,op(e3,e3)),op(e3,e3))
    | ~ sPE(op(e3,e3),e3)
    | sPE(op(e3,op(e3,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g393,plain,
    sPE(op(op(e2,e3),op(e3,e2)),e3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g394,plain,
    ( ~ sPE(op(e4,op(e4,e1)),op(e4,e0))
    | ~ sPE(op(e4,e0),e1)
    | sPE(op(e4,op(e4,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g395,plain,
    sPE(op(op(e3,e1),op(e1,e3)),e1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g396,plain,
    ( ~ sPE(op(e1,e0),e1)
    | ~ sPE(e1,op(e4,e0))
    | sPE(op(e1,e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g397,plain,
    ~ sPE(op(e1,e0),op(e4,e0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g398,plain,
    ( ~ sPE(op(e4,e0),e1)
    | sPE(e1,op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g399,plain,
    ( sPE(op(e3,e2),e0)
    | sPE(op(e3,e2),e1)
    | sPE(op(e3,e2),e2)
    | sPE(op(e3,e2),e3)
    | sPE(op(e3,e2),e4) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)]) ).

cnf(g400,plain,
    ( ~ sPE(op(op(e3,e0),e0),op(e2,e0))
    | ~ sPE(op(e2,e0),e3)
    | sPE(op(op(e3,e0),e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g401,plain,
    ( sPE(op(e0,e3),e3)
    | sPE(op(e1,e3),e3)
    | sPE(op(e2,e3),e3)
    | sPE(op(e3,e3),e3)
    | sPE(op(e4,e3),e3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g402,plain,
    ( ~ sPE(op(e3,e0),e2)
    | ~ sPE(e0,e0)
    | sPE(op(op(e3,e0),e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g403,plain,
    ( ~ sPE(op(e4,op(e4,e2)),op(e4,e1))
    | ~ sPE(op(e4,e1),e2)
    | sPE(op(e4,op(e4,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g404,plain,
    ( ~ sPE(op(e1,e0),e1)
    | ~ sPE(e1,op(e2,e0))
    | sPE(op(e1,e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g405,plain,
    ~ sPE(op(e1,e0),op(e2,e0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g406,plain,
    ( ~ sPE(op(e2,e0),e1)
    | sPE(e1,op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g407,plain,
    ( ~ sPE(op(e1,e0),e0)
    | ~ sPE(e0,op(e3,e0))
    | sPE(op(e1,e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g408,plain,
    ~ sPE(op(e1,e0),op(e3,e0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g409,plain,
    ( ~ sPE(op(e4,op(e4,e2)),op(op(e1,e2),op(e2,e1)))
    | ~ sPE(op(op(e1,e2),op(e2,e1)),e2)
    | sPE(op(e4,op(e4,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g410,plain,
    ( ~ sPE(op(op(e1,e2),op(e2,e1)),op(e4,op(e4,e2)))
    | sPE(op(e4,op(e4,e2)),op(op(e1,e2),op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g411,plain,
    ( ~ sPE(op(e3,e1),e4)
    | sPE(e4,op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g412,plain,
    ( ~ sPE(op(e1,e3),e4)
    | sPE(e4,op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g413,plain,
    ( ~ sPE(op(e4,e1),e4)
    | ~ sPE(e4,op(e3,e0))
    | sPE(op(e4,e1),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g414,plain,
    ( ~ sPE(op(e3,e0),e4)
    | sPE(e4,op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g415,plain,
    ( ~ sPE(op(e3,e2),e4)
    | sPE(e4,op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g416,plain,
    ( ~ sPE(op(e4,e1),e4)
    | ~ sPE(e4,op(e4,e0))
    | sPE(op(e4,e1),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g417,plain,
    ( ~ sPE(op(e1,e0),e4)
    | sPE(e4,op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g418,plain,
    ( ~ sPE(op(e4,e1),e4)
    | ~ sPE(e4,op(e1,e1))
    | sPE(op(e4,e1),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g419,plain,
    ( ~ sPE(op(e1,e1),e4)
    | sPE(e4,op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g420,plain,
    ( ~ sPE(op(e0,e2),e4)
    | sPE(e4,op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g421,plain,
    ( ~ sPE(op(e3,e3),e4)
    | sPE(e4,op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g422,plain,
    ( ~ sPE(op(op(e1,e4),op(e4,e1)),e4)
    | sPE(e4,op(op(e1,e4),op(e4,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g423,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e2),e1)
    | sPE(op(e0,op(e0,e2)),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g424,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e3),e1)
    | sPE(op(e0,op(e0,e3)),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g425,plain,
    ( ~ sPE(e2,op(e1,e1))
    | ~ sPE(op(e1,e1),e1)
    | sPE(e2,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g426,plain,
    ( ~ sPE(op(e1,e1),e2)
    | sPE(e2,op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g427,plain,
    ( ~ sPE(op(e1,e1),op(e0,e0))
    | sPE(op(e0,e0),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g428,plain,
    ( ~ sPE(e3,op(e1,e1))
    | ~ sPE(op(e1,e1),e1)
    | sPE(e3,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g429,plain,
    ( ~ sPE(op(e1,e1),e3)
    | sPE(e3,op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g430,plain,
    ( ~ sPE(e4,op(e1,e1))
    | ~ sPE(op(e1,e1),e1)
    | sPE(e4,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g431,plain,
    ( ~ sPE(e0,op(e0,e0))
    | ~ sPE(op(e0,e0),op(e1,e1))
    | sPE(e0,op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g432,plain,
    ( ~ sPE(e0,op(e1,e1))
    | ~ sPE(e0,op(e1,e1))
    | sPE(op(e0,e0),op(op(e1,e1),op(e1,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g433,plain,
    ( ~ sPE(e3,op(e3,e1))
    | ~ sPE(op(e3,e1),e4)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g434,plain,
    ( ~ sPE(e3,op(e3,e1))
    | ~ sPE(op(e3,e1),e1)
    | sPE(e3,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g435,plain,
    ( ~ sPE(e3,op(e3,e1))
    | ~ sPE(op(e3,e1),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g436,plain,
    ( ~ sPE(e1,op(e3,e1))
    | ~ sPE(op(e3,e1),e3)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g437,plain,
    ( ~ sPE(e4,op(e4,e2))
    | ~ sPE(op(e4,e2),e2)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g438,plain,
    ( ~ sPE(e4,op(e4,e2))
    | ~ sPE(op(e4,e2),e3)
    | sPE(e4,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g439,plain,
    ( sPE(op(e0,e2),e0)
    | sPE(op(e1,e2),e0)
    | sPE(op(e2,e2),e0)
    | sPE(op(e3,e2),e0)
    | sPE(op(e4,e2),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g440,plain,
    ( ~ sPE(op(e4,e2),e4)
    | ~ sPE(e4,op(op(e1,e4),op(e4,e1)))
    | sPE(op(e4,e2),op(op(e1,e4),op(e4,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g441,plain,
    ( ~ sPE(op(e2,e3),e2)
    | ~ sPE(e2,op(e4,e3))
    | sPE(op(e2,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g442,plain,
    ( ~ sPE(op(e4,e3),e2)
    | sPE(e2,op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g443,plain,
    ( ~ sPE(op(e0,e3),e2)
    | sPE(e2,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g444,plain,
    ( ~ sPE(op(e0,e4),e2)
    | sPE(e2,op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g445,plain,
    ( ~ sPE(op(e4,e4),e2)
    | sPE(e2,op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g446,plain,
    ( ~ sPE(e1,op(e1,e4))
    | ~ sPE(op(e1,e4),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g447,plain,
    ( ~ sPE(e1,op(e1,e4))
    | ~ sPE(op(e1,e4),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g448,plain,
    ( ~ sPE(e4,op(e1,e4))
    | ~ sPE(op(e1,e4),e1)
    | sPE(e4,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g449,plain,
    ( sPE(op(e0,e0),e0)
    | sPE(op(e0,e1),e0)
    | sPE(op(e0,e2),e0)
    | sPE(op(e0,e3),e0)
    | sPE(op(e0,e4),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g450,plain,
    ( ~ sPE(e0,op(e0,e2))
    | sPE(op(e0,e2),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g451,plain,
    ( ~ sPE(e2,op(e0,e2))
    | ~ sPE(op(e0,e2),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g452,plain,
    ( ~ sPE(e2,op(e0,e2))
    | ~ sPE(op(e0,e2),e3)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g453,plain,
    ( ~ sPE(e0,op(e0,e2))
    | ~ sPE(op(e0,e2),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g454,plain,
    ( ~ sPE(e3,op(e1,e2))
    | ~ sPE(op(e1,e2),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g455,plain,
    ( ~ sPE(op(e1,e2),e3)
    | sPE(e3,op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g456,plain,
    ( ~ sPE(e1,op(e1,e2))
    | ~ sPE(op(e1,e2),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g457,plain,
    ( ~ sPE(e4,op(e1,e2))
    | ~ sPE(op(e1,e2),e2)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g458,plain,
    ( ~ sPE(op(e1,e2),e4)
    | sPE(e4,op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g459,plain,
    ( ~ sPE(op(e1,e2),op(e0,e0))
    | sPE(op(e0,e0),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g460,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e1,e3))
    | sPE(op(e1,e1),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g461,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e2,e4))
    | sPE(op(e1,e1),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g462,plain,
    ( ~ sPE(op(e2,e4),e1)
    | sPE(e1,op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g463,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e0,e2))
    | sPE(op(e1,e1),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g464,plain,
    ( ~ sPE(op(e0,e2),e1)
    | sPE(e1,op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g465,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e4,e1))
    | sPE(op(e1,e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g466,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e2,e0))
    | sPE(op(e1,e1),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g467,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e2,e1))
    | sPE(op(e1,e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g468,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e0,e3))
    | sPE(op(e1,e1),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g469,plain,
    ( ~ sPE(op(e0,e3),e1)
    | sPE(e1,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g470,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e3,e1))
    | sPE(op(e1,e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g471,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e2,e3))
    | sPE(op(e1,e1),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g472,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e3,e3))
    | sPE(op(e1,e1),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g473,plain,
    ( ~ sPE(op(e3,e3),e1)
    | sPE(e1,op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g474,plain,
    ( ~ sPE(e1,op(e3,e3))
    | ~ sPE(op(e3,e3),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g475,plain,
    ( ~ sPE(op(e1,e1),op(e3,e3))
    | ~ sPE(e0,e0)
    | sPE(op(op(e1,e1),e0),op(op(e3,e3),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g476,plain,
    ( ~ sPE(e0,op(op(e1,e1),e0))
    | ~ sPE(op(op(e1,e1),e0),op(op(e3,e3),e0))
    | sPE(e0,op(op(e3,e3),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g477,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e1),e3)
    | sPE(op(e0,op(e0,e1)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g478,plain,
    ( ~ sPE(op(e0,e3),e4)
    | sPE(e4,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g479,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e3),e4)
    | sPE(op(e0,op(e0,e3)),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g480,plain,
    ( ~ sPE(e0,op(e0,e3))
    | ~ sPE(op(e0,e3),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g481,plain,
    ( ~ sPE(op(e3,e0),e1)
    | sPE(e1,op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g482,plain,
    ( ~ sPE(op(e3,e2),e1)
    | sPE(e1,op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g483,plain,
    ( ~ sPE(e1,op(e2,e1))
    | ~ sPE(op(e2,e1),e3)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g484,plain,
    ( ~ sPE(e1,op(e2,e1))
    | ~ sPE(op(e2,e1),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g485,plain,
    ( ~ sPE(e1,op(e2,e1))
    | ~ sPE(op(e2,e1),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g486,plain,
    ( ~ sPE(op(e2,e1),e1)
    | ~ sPE(e1,op(e0,e0))
    | sPE(op(e2,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g487,plain,
    ( sPE(op(e2,e0),e0)
    | sPE(op(e2,e1),e0)
    | sPE(op(e2,e2),e0)
    | sPE(op(e2,e3),e0)
    | sPE(op(e2,e4),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g488,plain,
    ( ~ sPE(op(e2,e1),e1)
    | ~ sPE(e1,op(e2,e4))
    | sPE(op(e2,e1),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g489,plain,
    ( ~ sPE(op(e0,e4),e1)
    | sPE(e1,op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g490,plain,
    ( ~ sPE(op(e4,e4),e1)
    | sPE(e1,op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g491,plain,
    ( ~ sPE(op(e0,e0),e1)
    | sPE(e1,op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g492,plain,
    ( ~ sPE(op(e2,e1),e1)
    | ~ sPE(e1,op(e4,e1))
    | sPE(op(e2,e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g493,plain,
    ( ~ sPE(op(e2,e0),e0)
    | ~ sPE(e0,op(e2,e1))
    | sPE(op(e2,e0),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g494,plain,
    ~ sPE(op(e2,e0),op(e2,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g495,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(op(e2,e2),e2)
    | sPE(op(e2,op(e2,e2)),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g496,plain,
    ( ~ sPE(op(e2,op(e2,e2)),op(e2,e2))
    | ~ sPE(op(e2,e2),e2)
    | sPE(op(e2,op(e2,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g497,plain,
    ( ~ sPE(op(e2,e3),e3)
    | ~ sPE(e3,op(e3,e3))
    | sPE(op(e2,e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g498,plain,
    ~ sPE(op(e2,e3),op(e3,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g499,plain,
    ( ~ sPE(e2,op(e3,e2))
    | ~ sPE(op(e3,e2),e1)
    | sPE(e2,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g500,plain,
    ( ~ sPE(e2,op(e3,e2))
    | ~ sPE(op(e3,e2),e3)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g501,plain,
    ( ~ sPE(e2,op(e3,e2))
    | ~ sPE(op(e3,e2),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g502,plain,
    ( ~ sPE(e4,op(e3,e2))
    | ~ sPE(op(e3,e2),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g503,plain,
    ( ~ sPE(e4,op(e3,e2))
    | ~ sPE(op(e3,e2),e2)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g504,plain,
    ( ~ sPE(e0,op(e3,e2))
    | ~ sPE(op(e3,e2),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g505,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e2,e3))
    | sPE(op(e3,e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g506,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e1,e3))
    | sPE(op(e3,e3),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g507,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e2,e0))
    | sPE(op(e3,e3),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g508,plain,
    ( ~ sPE(op(e2,e0),e3)
    | sPE(e3,op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g509,plain,
    ( ~ sPE(op(e4,e4),e3)
    | sPE(e3,op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g510,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e2,e4))
    | sPE(op(e3,e3),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g511,plain,
    ( ~ sPE(op(e2,e4),e3)
    | sPE(e3,op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g512,plain,
    ( ~ sPE(e3,op(e2,e4))
    | ~ sPE(op(e2,e4),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g513,plain,
    ( ~ sPE(op(e0,op(e4,e1)),e0)
    | sPE(e0,op(e0,op(e4,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g514,plain,
    ( ~ sPE(op(e0,e0),e4)
    | sPE(e4,op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g515,plain,
    sPE(e4,e4),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g516,plain,
    ( ~ sPE(e0,op(e0,e0))
    | ~ sPE(op(e0,e0),op(e4,e4))
    | sPE(e0,op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g517,plain,
    ( ~ sPE(e0,op(e4,e4))
    | ~ sPE(e0,op(e4,e4))
    | sPE(op(e0,e0),op(op(e4,e4),op(e4,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g518,plain,
    ( ~ sPE(op(e4,e0),e3)
    | ~ sPE(e0,e0)
    | sPE(op(op(e4,e0),e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g519,plain,
    ( ~ sPE(e0,op(e4,e2))
    | ~ sPE(op(e4,e2),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g520,plain,
    ( ~ sPE(e0,op(e1,e4))
    | ~ sPE(op(e1,e4),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g521,plain,
    ( ~ sPE(op(e1,e4),e3)
    | sPE(e3,op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g522,plain,
    ( ~ sPE(op(e2,e2),e3)
    | ~ sPE(e0,e0)
    | sPE(op(op(e2,e2),e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g523,plain,
    ( ~ sPE(op(e2,e2),e3)
    | sPE(e3,op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g524,plain,
    ( ~ sPE(e0,op(e2,e4))
    | ~ sPE(op(e2,e4),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g525,plain,
    ( ~ sPE(op(e0,e0),e0)
    | ~ sPE(e0,op(e2,e0))
    | sPE(op(e0,e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g526,plain,
    ( ~ sPE(op(e2,e0),op(e0,e0))
    | sPE(op(e0,e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g527,plain,
    ( ~ sPE(op(op(e3,e4),e4),op(e0,e4))
    | ~ sPE(op(e0,e4),e3)
    | sPE(op(op(e3,e4),e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g528,plain,
    ( ~ sPE(op(e3,e4),e0)
    | ~ sPE(e4,e4)
    | sPE(op(op(e3,e4),e4),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g529,plain,
    ( ~ sPE(op(op(e3,e4),e4),op(e3,e4))
    | ~ sPE(op(e3,e4),e3)
    | sPE(op(op(e3,e4),e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g530,plain,
    ( ~ sPE(op(e3,e4),e3)
    | ~ sPE(e4,e4)
    | sPE(op(op(e3,e4),e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g531,plain,
    ( ~ sPE(op(e3,e4),e2)
    | ~ sPE(e4,e4)
    | sPE(op(op(e3,e4),e4),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g532,plain,
    ( ~ sPE(op(e2,e4),op(e0,e0))
    | ~ sPE(op(e0,e0),e3)
    | sPE(op(e2,e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g533,plain,
    ( ~ sPE(op(e2,e4),op(e0,e1))
    | ~ sPE(op(e0,e1),e3)
    | sPE(op(e2,e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g534,plain,
    ( ~ sPE(op(e2,e4),op(op(e1,e3),op(e3,e1)))
    | ~ sPE(op(op(e1,e3),op(e3,e1)),e3)
    | sPE(op(e2,e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g535,plain,
    sPE(op(op(e1,e3),op(e3,e1)),e3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g536,plain,
    ( ~ sPE(e2,op(e1,e3))
    | ~ sPE(e4,op(e3,e1))
    | sPE(op(e2,e4),op(op(e1,e3),op(e3,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g537,plain,
    ( ~ sPE(e0,op(e2,e2))
    | ~ sPE(op(e2,e2),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g538,plain,
    ( ~ sPE(op(e4,e4),e3)
    | ~ sPE(e0,e0)
    | sPE(op(op(e4,e4),e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g539,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e4,e4),e3)
    | sPE(op(e0,op(e4,e4)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g540,plain,
    ( ~ sPE(op(op(e4,e3),e3),op(e0,e3))
    | ~ sPE(op(e0,e3),e4)
    | sPE(op(op(e4,e3),e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g541,plain,
    ( ~ sPE(op(e4,e3),e0)
    | ~ sPE(e3,e3)
    | sPE(op(op(e4,e3),e3),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g542,plain,
    sPE(e3,e3),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g543,plain,
    ( ~ sPE(op(op(e4,e3),e3),op(e2,e3))
    | ~ sPE(op(e2,e3),e4)
    | sPE(op(op(e4,e3),e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g544,plain,
    ( ~ sPE(op(e4,e3),e2)
    | ~ sPE(e3,e3)
    | sPE(op(op(e4,e3),e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g545,plain,
    ( ~ sPE(op(op(e4,e3),e3),op(e3,e3))
    | ~ sPE(op(e3,e3),e4)
    | sPE(op(op(e4,e3),e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g546,plain,
    ( ~ sPE(op(e4,e3),e3)
    | ~ sPE(e3,e3)
    | sPE(op(op(e4,e3),e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g547,plain,
    ( ~ sPE(op(op(e4,e3),e3),op(e4,e3))
    | ~ sPE(op(e4,e3),e4)
    | sPE(op(op(e4,e3),e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g548,plain,
    ( ~ sPE(op(e4,e3),e4)
    | ~ sPE(e3,e3)
    | sPE(op(op(e4,e3),e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g549,plain,
    ( ~ sPE(op(op(e4,e3),e3),op(e1,e3))
    | ~ sPE(op(e1,e3),e4)
    | sPE(op(op(e4,e3),e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g550,plain,
    ( ~ sPE(op(e4,e3),e1)
    | ~ sPE(e3,e3)
    | sPE(op(op(e4,e3),e3),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g551,plain,
    ( ~ sPE(op(op(e3,e0),e0),op(e1,e0))
    | ~ sPE(op(e1,e0),e3)
    | sPE(op(op(e3,e0),e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g552,plain,
    ( ~ sPE(op(e3,e0),e1)
    | ~ sPE(e0,e0)
    | sPE(op(op(e3,e0),e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g553,plain,
    ( ~ sPE(op(op(e3,e0),e0),op(e4,e0))
    | ~ sPE(op(e4,e0),e3)
    | sPE(op(op(e3,e0),e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g554,plain,
    ( ~ sPE(op(e3,e0),e4)
    | ~ sPE(e0,e0)
    | sPE(op(op(e3,e0),e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g555,plain,
    ( ~ sPE(op(op(e1,e4),e4),op(e0,e4))
    | ~ sPE(op(e0,e4),e1)
    | sPE(op(op(e1,e4),e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g556,plain,
    ( ~ sPE(op(e1,e4),e0)
    | ~ sPE(e4,e4)
    | sPE(op(op(e1,e4),e4),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g557,plain,
    ( ~ sPE(op(op(e3,e2),e2),op(e0,e2))
    | ~ sPE(op(e0,e2),e3)
    | sPE(op(op(e3,e2),e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g558,plain,
    ( ~ sPE(op(e3,e2),e0)
    | ~ sPE(e2,e2)
    | sPE(op(op(e3,e2),e2),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g559,plain,
    ( ~ sPE(e0,op(e1,e2))
    | ~ sPE(op(e1,e2),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g560,plain,
    ( ~ sPE(op(e0,e2),e3)
    | sPE(e3,op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g561,plain,
    ( ~ sPE(op(op(e3,e2),e2),op(e1,e2))
    | ~ sPE(op(e1,e2),e3)
    | sPE(op(op(e3,e2),e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g562,plain,
    ( ~ sPE(op(e3,e2),e1)
    | ~ sPE(e2,e2)
    | sPE(op(op(e3,e2),e2),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g563,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e1,e0),e3)
    | sPE(op(e0,op(e1,e0)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g564,plain,
    ( ~ sPE(op(op(e3,e2),e2),op(e4,e2))
    | ~ sPE(op(e4,e2),e3)
    | sPE(op(op(e3,e2),e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g565,plain,
    ( ~ sPE(op(e3,e2),e4)
    | ~ sPE(e2,e2)
    | sPE(op(op(e3,e2),e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g566,plain,
    ( ~ sPE(op(op(e3,e2),e2),op(e2,e2))
    | ~ sPE(op(e2,e2),e3)
    | sPE(op(op(e3,e2),e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g567,plain,
    ( ~ sPE(op(e3,e2),e2)
    | ~ sPE(e2,e2)
    | sPE(op(op(e3,e2),e2),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g568,plain,
    ( ~ sPE(e0,op(e2,e2))
    | ~ sPE(op(e2,e2),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g569,plain,
    ( ~ sPE(op(e2,e2),e1)
    | ~ sPE(e0,e0)
    | sPE(op(op(e2,e2),e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g570,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e0),e3)
    | sPE(op(e0,op(e0,e0)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g571,plain,
    ( ~ sPE(op(e0,e0),e3)
    | sPE(e3,op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g572,plain,
    ( ~ sPE(op(e0,e0),e3)
    | ~ sPE(e0,e0)
    | sPE(op(op(e0,e0),e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g573,plain,
    ( ~ sPE(e0,op(e3,e2))
    | ~ sPE(op(e3,e2),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g574,plain,
    ( ~ sPE(e0,op(e3,e0))
    | ~ sPE(op(e3,e0),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g575,plain,
    ( ~ sPE(op(e3,e3),e1)
    | ~ sPE(e0,e0)
    | sPE(op(op(e3,e3),e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g576,plain,
    ( ~ sPE(e4,e2)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g577,plain,
    ( ~ sPE(e0,op(e1,e4))
    | ~ sPE(op(e1,e4),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g578,plain,
    ( ~ sPE(op(e1,e4),e2)
    | sPE(e2,op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g579,plain,
    ( ~ sPE(e3,op(e2,e0))
    | ~ sPE(op(e2,e0),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g580,plain,
    ( ~ sPE(e4,op(e2,e0))
    | ~ sPE(op(e2,e0),e2)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g581,plain,
    ( ~ sPE(op(e2,e0),e4)
    | sPE(e4,op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g582,plain,
    ( ~ sPE(e1,op(e2,e0))
    | ~ sPE(op(e2,e0),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g583,plain,
    ( ~ sPE(e0,op(e2,e0))
    | sPE(op(e2,e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g584,plain,
    ( ~ sPE(op(e2,e1),e4)
    | sPE(e4,op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g585,plain,
    ( ~ sPE(op(e4,e0),e4)
    | ~ sPE(e4,op(e4,e2))
    | sPE(op(e4,e0),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g586,plain,
    ( ~ sPE(op(e2,e2),e4)
    | sPE(e4,op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g587,plain,
    ( ~ sPE(op(e4,e0),e4)
    | ~ sPE(e4,op(e1,e0))
    | sPE(op(e4,e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g588,plain,
    ( ~ sPE(op(e4,e0),e4)
    | ~ sPE(e4,op(op(e2,e4),op(e4,e2)))
    | sPE(op(e4,e0),op(op(e2,e4),op(e4,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g589,plain,
    ( ~ sPE(op(op(e2,e4),op(e4,e2)),e4)
    | sPE(e4,op(op(e2,e4),op(e4,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g590,plain,
    ( ~ sPE(op(e4,e0),op(op(e2,e4),op(e4,e2)))
    | ~ sPE(op(op(e2,e4),op(e4,e2)),op(e0,e0))
    | sPE(op(e4,e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g591,plain,
    ( ~ sPE(op(e2,e4),e0)
    | ~ sPE(op(e4,e2),e0)
    | sPE(op(op(e2,e4),op(e4,e2)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g592,plain,
    ( ~ sPE(op(op(e4,e0),e0),e0)
    | sPE(e0,op(op(e4,e0),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g593,plain,
    ( ~ sPE(op(e0,op(e2,e1)),e0)
    | sPE(e0,op(e0,op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g594,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e4),e1)
    | sPE(op(e0,op(e0,e4)),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g595,plain,
    ( ~ sPE(e0,op(e0,e4))
    | ~ sPE(op(e0,e4),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g596,plain,
    ( ~ sPE(e0,op(e1,e1))
    | ~ sPE(op(e1,e1),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g597,plain,
    ( ~ sPE(e0,op(e1,e0))
    | ~ sPE(op(e1,e0),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g598,plain,
    ( ~ sPE(op(e1,e0),e4)
    | ~ sPE(e0,e0)
    | sPE(op(op(e1,e0),e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g599,plain,
    ( ~ sPE(e0,op(e1,e3))
    | ~ sPE(op(e1,e3),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g600,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e3),e4)
    | sPE(op(e0,op(e3,e3)),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g601,plain,
    ( ~ sPE(e0,op(e3,e3))
    | ~ sPE(op(e3,e3),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g602,plain,
    ( ~ sPE(op(e3,e3),e4)
    | ~ sPE(e0,e0)
    | sPE(op(op(e3,e3),e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g603,plain,
    ( ~ sPE(e0,op(e4,e2))
    | ~ sPE(op(e4,e2),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g604,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e4,e0),e3)
    | sPE(op(e0,op(e4,e0)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g605,plain,
    ( ~ sPE(op(e4,e0),e3)
    | sPE(e3,op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g606,plain,
    ( ~ sPE(e0,op(e4,e0))
    | ~ sPE(op(e4,e0),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g607,plain,
    ( ~ sPE(e0,op(e1,e1))
    | ~ sPE(op(e1,e1),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g608,plain,
    ( ~ sPE(e0,op(e2,e1))
    | ~ sPE(op(e2,e1),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g609,plain,
    ( ~ sPE(e1,op(e1,e2))
    | ~ sPE(op(e1,e2),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g610,plain,
    ( ~ sPE(e4,op(e1,e2))
    | ~ sPE(op(e1,e2),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g611,plain,
    ( ~ sPE(e4,op(e1,e2))
    | ~ sPE(op(e1,e2),e1)
    | sPE(e4,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g612,plain,
    ( ~ sPE(e0,op(e1,e2))
    | ~ sPE(op(e1,e2),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g613,plain,
    ( ~ sPE(e1,e4)
    | ~ sPE(e0,e0)
    | sPE(op(e1,e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g614,plain,
    ( ~ sPE(e2,op(e2,e3))
    | ~ sPE(op(e2,e3),e3)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g615,plain,
    ( ~ sPE(e2,op(e2,e3))
    | ~ sPE(op(e2,e3),e1)
    | sPE(e2,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g616,plain,
    ( ~ sPE(e2,op(e2,e3))
    | ~ sPE(op(e2,e3),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g617,plain,
    ( ~ sPE(e0,op(e2,e3))
    | ~ sPE(op(e2,e3),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g618,plain,
    ( ~ sPE(op(e0,op(e1,e3)),e0)
    | sPE(e0,op(e0,op(e1,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g619,plain,
    ( ~ sPE(e2,op(e4,e3))
    | ~ sPE(op(e4,e3),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g620,plain,
    ( ~ sPE(e3,op(e4,e3))
    | ~ sPE(op(e4,e3),e4)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g621,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e4),e3)
    | sPE(op(e0,op(e0,e4)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g622,plain,
    ( ~ sPE(op(e4,e3),e1)
    | sPE(e1,op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g623,plain,
    ( ~ sPE(op(e0,e3),e0)
    | ~ sPE(e0,op(e0,e4))
    | sPE(op(e0,e3),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g624,plain,
    ~ sPE(op(e0,e3),op(e0,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g625,plain,
    ~ sPE(e0,e4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5)]) ).

cnf(g626,plain,
    ( ~ sPE(op(op(e0,e2),op(e2,e0)),e2)
    | sPE(e2,op(op(e0,e2),op(e2,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g627,plain,
    ~ sPE(e0,e1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5)]) ).

cnf(g628,plain,
    ( ~ sPE(op(e4,e0),e1)
    | ~ sPE(e0,e0)
    | sPE(op(op(e4,e0),e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g629,plain,
    ( ~ sPE(e0,op(e4,e0))
    | ~ sPE(op(e4,e0),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g630,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e3,e1))
    | sPE(op(e2,e2),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g631,plain,
    ( ~ sPE(op(e3,e1),e2)
    | sPE(e2,op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g632,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e1,e4))
    | sPE(op(e2,e2),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g633,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e2,e0))
    | sPE(op(e2,e2),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g634,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e0,e4))
    | sPE(op(e2,e2),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g635,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e4,e1))
    | sPE(op(e2,e2),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g636,plain,
    ( ~ sPE(op(e4,e1),e2)
    | sPE(e2,op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g637,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e2,e4))
    | sPE(op(e2,e2),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g638,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e4,e2))
    | sPE(op(e2,e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g639,plain,
    ( ~ sPE(e3,op(e2,e3))
    | ~ sPE(op(e2,e3),e4)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g640,plain,
    ( ~ sPE(e3,op(e3,e2))
    | ~ sPE(op(e3,e2),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g641,plain,
    ( ~ sPE(e1,op(e3,e2))
    | ~ sPE(op(e3,e2),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g642,plain,
    ( ~ sPE(e0,op(e4,e3))
    | ~ sPE(op(e4,e3),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g643,plain,
    ( ~ sPE(e0,op(e3,e3))
    | ~ sPE(op(e3,e3),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g644,plain,
    ( ~ sPE(e0,op(e0,e4))
    | ~ sPE(op(e0,e4),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g645,plain,
    ( ~ sPE(op(e0,e0),e2)
    | ~ sPE(op(e4,e0),e0)
    | sPE(op(op(e0,e0),op(e4,e0)),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g646,plain,
    ( ~ sPE(op(e1,e0),op(op(e0,e0),op(e4,e0)))
    | ~ sPE(op(op(e0,e0),op(e4,e0)),op(e2,e0))
    | sPE(op(e1,e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g647,plain,
    ( ~ sPE(e1,op(e0,e0))
    | ~ sPE(e0,op(e4,e0))
    | sPE(op(e1,e0),op(op(e0,e0),op(e4,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g648,plain,
    ( ~ sPE(op(e0,e0),op(op(e1,e2),op(e2,e1)))
    | ~ sPE(op(op(e1,e2),op(e2,e1)),e2)
    | sPE(op(e0,e0),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g649,plain,
    ( ~ sPE(e0,op(e1,e2))
    | ~ sPE(e0,op(e2,e1))
    | sPE(op(e0,e0),op(op(e1,e2),op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g650,plain,
    ( ~ sPE(e0,op(e3,e0))
    | sPE(op(e3,e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g651,plain,
    ( ~ sPE(op(e0,op(e0,e2)),op(op(e3,e2),op(e2,e3)))
    | ~ sPE(op(op(e3,e2),op(e2,e3)),e2)
    | sPE(op(e0,op(e0,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g652,plain,
    ( ~ sPE(e0,op(e3,e2))
    | ~ sPE(e0,op(e2,e3))
    | sPE(op(e0,e0),op(op(e3,e2),op(e2,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g653,plain,
    ( ~ sPE(e0,op(e3,e2))
    | ~ sPE(op(e0,e2),op(e2,e3))
    | sPE(op(e0,op(e0,e2)),op(op(e3,e2),op(e2,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g654,plain,
    ( ~ sPE(op(e0,e2),e0)
    | ~ sPE(e0,op(e2,e3))
    | sPE(op(e0,e2),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g655,plain,
    ( ~ sPE(op(e0,op(e0,e3)),op(e0,e4))
    | ~ sPE(op(e0,e4),e3)
    | sPE(op(e0,op(e0,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g656,plain,
    ( ~ sPE(op(e0,op(e0,e3)),op(e0,e1))
    | ~ sPE(op(e0,e1),e3)
    | sPE(op(e0,op(e0,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g657,plain,
    ( ~ sPE(op(e2,e1),e3)
    | sPE(e3,op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g658,plain,
    ( ~ sPE(e0,op(e2,e1))
    | ~ sPE(op(e2,e1),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g659,plain,
    ( ~ sPE(e0,op(e0,e1))
    | ~ sPE(op(e0,e1),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g660,plain,
    ( ~ sPE(e0,op(e4,e1))
    | ~ sPE(op(e4,e1),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g661,plain,
    ( ~ sPE(e0,op(e0,e3))
    | ~ sPE(e0,op(e3,e0))
    | sPE(op(e0,e0),op(op(e0,e3),op(e3,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g662,plain,
    ( ~ sPE(op(e0,op(e0,e1)),op(op(e0,e1),op(e1,e0)))
    | ~ sPE(op(op(e0,e1),op(e1,e0)),e1)
    | sPE(op(e0,op(e0,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g663,plain,
    ( ~ sPE(op(e0,op(e0,e1)),op(e0,e0))
    | ~ sPE(op(e0,e0),op(op(e0,e1),op(e1,e0)))
    | sPE(op(e0,op(e0,e1)),op(op(e0,e1),op(e1,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g664,plain,
    ( ~ sPE(e0,op(e0,e1))
    | ~ sPE(e0,op(e1,e0))
    | sPE(op(e0,e0),op(op(e0,e1),op(e1,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g665,plain,
    ( ~ sPE(op(op(e2,e0),e0),op(e4,e0))
    | ~ sPE(op(e4,e0),e2)
    | sPE(op(op(e2,e0),e0),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g666,plain,
    ( ~ sPE(op(e2,e0),e4)
    | ~ sPE(e0,e0)
    | sPE(op(op(e2,e0),e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g667,plain,
    ( ~ sPE(op(op(e2,e0),e0),op(e3,e0))
    | ~ sPE(op(e3,e0),e2)
    | sPE(op(op(e2,e0),e0),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g668,plain,
    ( ~ sPE(op(e2,e0),e3)
    | ~ sPE(e0,e0)
    | sPE(op(op(e2,e0),e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g669,plain,
    ( ~ sPE(e4,e1)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g670,plain,
    ( ~ sPE(op(e3,e0),e3)
    | ~ sPE(e3,op(e3,e3))
    | sPE(op(e3,e0),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g671,plain,
    ( ~ sPE(op(e1,e3),e2)
    | sPE(e2,op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g672,plain,
    ( ~ sPE(e4,op(e0,e1))
    | ~ sPE(op(e0,e1),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g673,plain,
    ( ~ sPE(op(e0,e1),e4)
    | sPE(e4,op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g674,plain,
    ( ~ sPE(op(e1,e4),op(e3,e2))
    | ~ sPE(op(e3,e2),e0)
    | sPE(op(e1,e4),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g675,plain,
    ( ~ sPE(op(e1,e4),op(e3,e2))
    | sPE(op(e3,e2),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g676,plain,
    ( ~ sPE(op(e4,e2),e3)
    | ~ sPE(e3,op(e3,e3))
    | sPE(op(e4,e2),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g677,plain,
    ( ~ sPE(op(e4,e0),e3)
    | ~ sPE(e3,op(e3,e3))
    | sPE(op(e4,e0),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g678,plain,
    ( ~ sPE(op(e1,e4),e3)
    | ~ sPE(e3,op(e3,e3))
    | sPE(op(e1,e4),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g679,plain,
    ( ~ sPE(op(e3,e2),e3)
    | ~ sPE(e3,op(e3,e3))
    | sPE(op(e3,e2),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g680,plain,
    ( ~ sPE(op(e0,e0),e0)
    | ~ sPE(e0,op(e0,e4))
    | sPE(op(e0,e0),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g681,plain,
    ~ sPE(op(e0,e0),op(e0,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g682,plain,
    ~ sPE(e0,e2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5)]) ).

cnf(g683,plain,
    ( ~ sPE(op(e3,e4),e3)
    | ~ sPE(e3,op(e3,e1))
    | sPE(op(e3,e4),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g684,plain,
    ( ~ sPE(op(e3,e4),e3)
    | ~ sPE(e3,op(e0,e0))
    | sPE(op(e3,e4),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g685,plain,
    ( ~ sPE(op(e3,e4),e3)
    | ~ sPE(e3,op(e0,e1))
    | sPE(op(e3,e4),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g686,plain,
    ( ~ sPE(op(e0,e1),e3)
    | sPE(e3,op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g687,plain,
    ( ~ sPE(op(e3,e4),e3)
    | ~ sPE(e3,op(e4,e0))
    | sPE(op(e3,e4),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g688,plain,
    ( ~ sPE(e2,op(e2,e4))
    | ~ sPE(op(e2,e4),e1)
    | sPE(e2,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g689,plain,
    ( ~ sPE(e2,op(e2,e4))
    | ~ sPE(op(e2,e4),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g690,plain,
    ( ~ sPE(e2,op(e2,e4))
    | ~ sPE(op(e2,e4),e3)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g691,plain,
    ( sPE(op(e0,e4),e0)
    | sPE(op(e1,e4),e0)
    | sPE(op(e2,e4),e0)
    | sPE(op(e3,e4),e0)
    | sPE(op(e4,e4),e0) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)]) ).

cnf(g692,plain,
    ( ~ sPE(op(e0,e0),op(e0,op(e0,e1)))
    | ~ sPE(op(e0,op(e0,e1)),e1)
    | sPE(op(e0,e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g693,plain,
    ( ~ sPE(op(e0,e3),e3)
    | ~ sPE(e3,op(e3,e3))
    | sPE(op(e0,e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g694,plain,
    ( ~ sPE(e2,op(e1,e4))
    | ~ sPE(op(e1,e4),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g695,plain,
    ( ~ sPE(op(e0,e0),op(op(e1,e1),op(e1,e1)))
    | ~ sPE(op(op(e1,e1),op(e1,e1)),e1)
    | sPE(op(e0,e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g696,plain,
    ( ~ sPE(e2,op(e4,e3))
    | ~ sPE(op(e4,e3),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g697,plain,
    ( ~ sPE(op(e1,e0),e2)
    | ~ sPE(e0,e0)
    | sPE(op(op(e1,e0),e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g698,plain,
    ( ~ sPE(op(e3,e3),e2)
    | ~ sPE(e0,e0)
    | sPE(op(op(e3,e3),e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g699,plain,
    ( ~ sPE(op(op(e0,e0),e0),e0)
    | sPE(e0,op(op(e0,e0),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g700,plain,
    ( ~ sPE(e0,op(op(e0,e0),e0))
    | sPE(op(op(e0,e0),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g701,plain,
    ( ~ sPE(op(e2,e3),e3)
    | ~ sPE(op(e3,e2),e2)
    | sPE(op(op(e2,e3),op(e3,e2)),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g702,plain,
    ( ~ sPE(e0,op(e2,e3))
    | ~ sPE(e0,op(e3,e2))
    | sPE(op(e0,e0),op(op(e2,e3),op(e3,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g703,plain,
    ( ~ sPE(e0,op(e3,e0))
    | ~ sPE(op(e3,e0),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g704,plain,
    ( ~ sPE(e4,op(e3,e4))
    | ~ sPE(op(e3,e4),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g705,plain,
    ( ~ sPE(e4,op(e3,e4))
    | ~ sPE(op(e3,e4),e1)
    | sPE(e4,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g706,plain,
    ( ~ sPE(e4,op(e3,e4))
    | ~ sPE(op(e3,e4),e3)
    | sPE(e4,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g707,plain,
    ( ~ sPE(e4,op(e3,e4))
    | ~ sPE(op(e3,e4),e2)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g708,plain,
    ( ~ sPE(op(e3,e4),e4)
    | ~ sPE(e4,op(e0,e0))
    | sPE(op(e3,e4),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g709,plain,
    ( ~ sPE(op(e3,e4),e4)
    | ~ sPE(e4,op(e3,e1))
    | sPE(op(e3,e4),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g710,plain,
    ( ~ sPE(op(e3,e4),e4)
    | ~ sPE(e4,op(e1,e1))
    | sPE(op(e3,e4),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g711,plain,
    ( ~ sPE(op(e3,e4),e4)
    | ~ sPE(e4,op(e4,e4))
    | sPE(op(e3,e4),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g712,plain,
    ( ~ sPE(op(e3,e4),e4)
    | ~ sPE(e4,op(e0,e4))
    | sPE(op(e3,e4),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g713,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e4,e4),e1)
    | sPE(op(e0,op(e4,e4)),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g714,plain,
    ( ~ sPE(e0,op(e0,e2))
    | ~ sPE(op(e0,e2),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g715,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e2),e4)
    | sPE(op(e0,op(e0,e2)),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g716,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e0,e4))
    | sPE(op(e3,e3),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g717,plain,
    ( ~ sPE(op(e0,e4),e3)
    | sPE(e3,op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g718,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e0,e1))
    | sPE(op(e3,e3),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g719,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e4,e0))
    | sPE(op(e3,e3),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g720,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e3,e0))
    | sPE(op(e3,e3),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g721,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e0,e2))
    | sPE(op(e3,e3),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g722,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(op(e1,e3),op(e3,e1)))
    | sPE(op(e3,e3),op(op(e1,e3),op(e3,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g723,plain,
    ( ~ sPE(op(op(e1,e3),op(e3,e1)),e3)
    | sPE(e3,op(op(e1,e3),op(e3,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g724,plain,
    ( ~ sPE(op(e4,e3),e3)
    | ~ sPE(e3,op(e0,e0))
    | sPE(op(e4,e3),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g725,plain,
    ( ~ sPE(op(e4,e3),e3)
    | ~ sPE(e3,op(e4,e1))
    | sPE(op(e4,e3),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g726,plain,
    ( ~ sPE(op(e4,e3),e3)
    | ~ sPE(e3,op(e1,e0))
    | sPE(op(e4,e3),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g727,plain,
    ( ~ sPE(op(e1,e0),e3)
    | sPE(e3,op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g728,plain,
    ( ~ sPE(op(e4,e3),e3)
    | ~ sPE(e3,op(e3,e3))
    | sPE(op(e4,e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g729,plain,
    ( ~ sPE(op(e4,e3),e3)
    | ~ sPE(e3,op(e2,e3))
    | sPE(op(e4,e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g730,plain,
    ( ~ sPE(e4,op(e4,e1))
    | ~ sPE(op(e4,e1),e1)
    | sPE(e4,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g731,plain,
    ( ~ sPE(op(e4,op(e4,e3)),op(e4,e2))
    | ~ sPE(op(e4,e2),e3)
    | sPE(op(e4,op(e4,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g732,plain,
    ( ~ sPE(e0,op(e1,e1))
    | ~ sPE(op(e1,e1),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g733,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e1,e1),e2)
    | sPE(op(e0,op(e1,e1)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g734,plain,
    ( ~ sPE(op(e1,e1),e2)
    | ~ sPE(e0,e0)
    | sPE(op(op(e1,e1),e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g735,plain,
    ( ~ sPE(op(e4,e4),e1)
    | ~ sPE(e0,e0)
    | sPE(op(op(e4,e4),e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g736,plain,
    ( ~ sPE(e0,op(e4,e4))
    | ~ sPE(op(e4,e4),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g737,plain,
    ( ~ sPE(op(e4,op(e4,e2)),op(e4,e0))
    | ~ sPE(op(e4,e0),e2)
    | sPE(op(e4,op(e4,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g738,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(op(e4,e2),e0)
    | sPE(op(e4,op(e4,e2)),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g739,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(op(e4,e2),e1)
    | sPE(op(e4,op(e4,e2)),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g740,plain,
    ( ~ sPE(op(e4,e4),op(e2,e4))
    | sPE(op(e2,e4),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g741,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e3),e2)
    | sPE(op(e0,op(e3,e3)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g742,plain,
    ( ~ sPE(op(e0,e0),e2)
    | sPE(e2,op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g743,plain,
    ( ~ sPE(op(op(e2,e0),e0),op(e1,e0))
    | ~ sPE(op(e1,e0),e2)
    | sPE(op(op(e2,e0),e0),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g744,plain,
    ( ~ sPE(e4,op(op(e4,e0),e0))
    | ~ sPE(op(op(e4,e0),e0),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g745,plain,
    ( ~ sPE(op(e4,e0),e4)
    | ~ sPE(e4,op(op(e1,e4),op(e4,e1)))
    | sPE(op(e4,e0),op(op(e1,e4),op(e4,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g746,plain,
    ( ~ sPE(op(e4,e0),op(op(e1,e4),op(e4,e1)))
    | ~ sPE(op(op(e1,e4),op(e4,e1)),op(e0,e0))
    | sPE(op(e4,e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g747,plain,
    ( ~ sPE(op(e1,e4),e0)
    | ~ sPE(op(e4,e1),e0)
    | sPE(op(op(e1,e4),op(e4,e1)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g748,plain,
    ~ sPE(op(e2,e1),op(e2,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g749,plain,
    ( ~ sPE(op(e2,e0),e2)
    | ~ sPE(e2,op(e0,e0))
    | sPE(op(e2,e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g750,plain,
    ( ~ sPE(e2,op(e2,e0))
    | ~ sPE(op(e2,e0),e3)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g751,plain,
    ( ~ sPE(e0,op(e2,e0))
    | ~ sPE(op(e2,e0),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g752,plain,
    ~ sPE(op(e1,e0),op(e1,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g753,plain,
    ( ~ sPE(op(e4,e1),e4)
    | ~ sPE(e4,op(e0,e0))
    | sPE(op(e4,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g754,plain,
    ( ~ sPE(op(e4,e1),e4)
    | ~ sPE(e4,op(e1,e2))
    | sPE(op(e4,e1),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g755,plain,
    ( ~ sPE(op(e2,e3),e4)
    | sPE(e4,op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g756,plain,
    ( ~ sPE(op(e4,e1),op(e4,e0))
    | sPE(op(e4,e0),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g757,plain,
    ( ~ sPE(e3,op(e0,e1))
    | ~ sPE(op(e0,e1),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g758,plain,
    ~ sPE(e0,e3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5)]) ).

cnf(g759,plain,
    ( ~ sPE(op(e3,e1),e3)
    | ~ sPE(e3,op(e0,e0))
    | sPE(op(e3,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g760,plain,
    ( ~ sPE(op(e3,e1),e3)
    | ~ sPE(e3,op(e4,e4))
    | sPE(op(e3,e1),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g761,plain,
    ( ~ sPE(op(e3,e1),op(e4,e4))
    | sPE(op(e4,e4),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g762,plain,
    ( ~ sPE(op(e3,e1),op(e4,e4))
    | ~ sPE(op(e4,e4),e2)
    | sPE(op(e3,e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g763,plain,
    ~ sPE(op(e3,e1),op(e3,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g764,plain,
    ( ~ sPE(op(op(e3,e1),e0),e0)
    | sPE(e0,op(op(e3,e1),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g765,plain,
    ( ~ sPE(op(e1,e3),e1)
    | ~ sPE(e1,op(e1,e2))
    | sPE(op(e1,e3),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g766,plain,
    ( ~ sPE(op(e3,e2),e3)
    | ~ sPE(e3,op(e3,e1))
    | sPE(op(e3,e2),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g767,plain,
    ( ~ sPE(op(e0,e2),e3)
    | ~ sPE(e3,op(e3,e3))
    | sPE(op(e0,e2),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g768,plain,
    ( ~ sPE(op(e2,e4),e3)
    | ~ sPE(e3,op(e3,e3))
    | sPE(op(e2,e4),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g769,plain,
    ( ~ sPE(e1,op(e2,e3))
    | ~ sPE(op(e2,e3),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g770,plain,
    ( ~ sPE(e4,op(e2,e3))
    | ~ sPE(op(e2,e3),e2)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g771,plain,
    ( ~ sPE(op(e2,e3),op(e0,e0))
    | sPE(op(e0,e0),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g772,plain,
    ( ~ sPE(e4,op(e2,e4))
    | ~ sPE(op(e2,e4),e2)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g773,plain,
    ( ~ sPE(e3,op(e2,e4))
    | ~ sPE(op(e2,e4),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g774,plain,
    ( ~ sPE(op(e2,e4),op(e0,e0))
    | sPE(op(e0,e0),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g775,plain,
    ( ~ sPE(e1,op(e2,e4))
    | ~ sPE(op(e2,e4),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g776,plain,
    ( ~ sPE(op(e1,e4),e1)
    | ~ sPE(e1,op(e1,e3))
    | sPE(op(e1,e4),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g777,plain,
    ( ~ sPE(op(e4,e4),op(e0,e0))
    | sPE(op(e0,e0),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g778,plain,
    ( ~ sPE(e3,op(e4,e4))
    | ~ sPE(op(e4,e4),e4)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g779,plain,
    ( ~ sPE(e4,op(e0,e2))
    | ~ sPE(op(e0,e2),e2)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g780,plain,
    ( ~ sPE(op(e3,e0),op(op(e0,e3),e0))
    | ~ sPE(op(op(e0,e3),e0),e0)
    | sPE(op(e3,e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g781,plain,
    ( ~ sPE(e3,op(e0,e3))
    | ~ sPE(op(e0,e3),e1)
    | sPE(e3,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g782,plain,
    ( ~ sPE(e3,op(e0,e3))
    | ~ sPE(op(e0,e3),e4)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g783,plain,
    ( ~ sPE(op(e0,e3),e3)
    | ~ sPE(e3,op(e0,e0))
    | sPE(op(e0,e3),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g784,plain,
    ( ~ sPE(op(e1,e4),e4)
    | ~ sPE(e4,op(e1,e3))
    | sPE(op(e1,e4),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g785,plain,
    ( ~ sPE(op(op(e0,e4),op(e4,e0)),e4)
    | sPE(e4,op(op(e0,e4),op(e4,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g786,plain,
    sPE(op(op(e0,e4),op(e4,e0)),e4),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)]) ).

cnf(g787,plain,
    ~ sPE(op(e1,e1),op(e3,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g788,plain,
    ( ~ sPE(e1,op(e0,e0))
    | ~ sPE(op(e0,e0),op(e3,e1))
    | sPE(e1,op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g789,plain,
    ( ~ sPE(op(e0,e0),e2)
    | ~ sPE(e2,op(e1,e2))
    | sPE(op(e0,e0),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g790,plain,
    ( ~ sPE(op(e4,e2),e2)
    | ~ sPE(e2,op(e1,e2))
    | sPE(op(e4,e2),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g791,plain,
    ( ~ sPE(e0,op(e0,op(e3,e4)))
    | ~ sPE(op(e0,op(e3,e4)),op(e0,e4))
    | sPE(e0,op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g792,plain,
    ( ~ sPE(op(e0,op(e3,e4)),e0)
    | sPE(e0,op(e0,op(e3,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g793,plain,
    ( ~ sPE(op(e0,op(e3,e0)),e0)
    | sPE(e0,op(e0,op(e3,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g794,plain,
    ( ~ sPE(op(e2,e1),op(e2,e0))
    | sPE(op(e2,e0),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g795,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e0),e4)
    | sPE(op(e0,op(e0,e0)),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g796,plain,
    sPE(e1,e1),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g797,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e0),e1)
    | sPE(op(e0,op(e0,e0)),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g798,plain,
    ( ~ sPE(op(e0,e0),e1)
    | ~ sPE(e0,e0)
    | sPE(op(op(e0,e0),e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g799,plain,
    ( ~ sPE(e3,e2)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g800,plain,
    ( ~ sPE(op(e1,op(e1,e2)),op(e1,e4))
    | ~ sPE(op(e1,e4),e2)
    | sPE(op(e1,op(e1,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g801,plain,
    ( ~ sPE(op(e1,op(e1,e2)),op(e1,e0))
    | ~ sPE(op(e1,e0),e2)
    | sPE(op(e1,op(e1,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g802,plain,
    ( ~ sPE(op(e4,op(e4,e4)),op(e4,e4))
    | ~ sPE(op(e4,e4),e4)
    | sPE(op(e4,op(e4,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g803,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(op(e4,e4),e4)
    | sPE(op(e4,op(e4,e4)),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g804,plain,
    ( ~ sPE(op(e4,e3),op(op(e3,e4),op(e4,e3)))
    | ~ sPE(op(op(e3,e4),op(e4,e3)),e4)
    | sPE(op(e4,e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g805,plain,
    ( ~ sPE(op(op(e3,e4),op(e4,e3)),op(e4,e3))
    | sPE(op(e4,e3),op(op(e3,e4),op(e4,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g806,plain,
    ( ~ sPE(e4,op(e3,e4))
    | ~ sPE(e3,op(e4,e3))
    | sPE(op(e4,e3),op(op(e3,e4),op(e4,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g807,plain,
    ( ~ sPE(e0,op(e4,e3))
    | ~ sPE(op(e4,e3),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g808,plain,
    ( ~ sPE(op(e4,op(e4,e2)),op(e4,e3))
    | ~ sPE(op(e4,e3),e2)
    | sPE(op(e4,op(e4,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g809,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(op(e4,e2),e3)
    | sPE(op(e4,op(e4,e2)),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g810,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(op(e4,e3),e1)
    | sPE(op(e4,op(e4,e3)),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g811,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(op(e4,e3),e2)
    | sPE(op(e4,op(e4,e3)),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g812,plain,
    ( ~ sPE(e3,e1)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g813,plain,
    ( ~ sPE(e0,op(e2,e0))
    | ~ sPE(op(e2,e0),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g814,plain,
    ( ~ sPE(e0,op(e0,e1))
    | ~ sPE(op(e0,e1),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g815,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e1),e4)
    | sPE(op(e0,op(e0,e1)),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g816,plain,
    ( ~ sPE(op(e2,e1),e0)
    | ~ sPE(e1,e1)
    | sPE(op(op(e2,e1),e1),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g817,plain,
    ( ~ sPE(op(e2,e1),e4)
    | ~ sPE(e1,e1)
    | sPE(op(op(e2,e1),e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g818,plain,
    ( ~ sPE(op(e2,e1),e3)
    | ~ sPE(e1,e1)
    | sPE(op(op(e2,e1),e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g819,plain,
    ( ~ sPE(op(e2,e1),e1)
    | ~ sPE(e1,e1)
    | sPE(op(op(e2,e1),e1),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g820,plain,
    ( ~ sPE(op(e1,e1),op(op(e1,e2),op(e2,e1)))
    | ~ sPE(op(op(e1,e2),op(e2,e1)),e2)
    | sPE(op(e1,e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g821,plain,
    ( ~ sPE(e1,op(e1,e2))
    | ~ sPE(e1,op(e2,e1))
    | sPE(op(e1,e1),op(op(e1,e2),op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g822,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e1),e2)
    | sPE(op(e0,op(e0,e1)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g823,plain,
    ( ~ sPE(op(e0,e1),e2)
    | sPE(e2,op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g824,plain,
    ( ~ sPE(e0,op(e0,e1))
    | ~ sPE(op(e0,e1),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g825,plain,
    ( ~ sPE(op(e2,e0),e1)
    | ~ sPE(e0,e0)
    | sPE(op(op(e2,e0),e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g826,plain,
    ( ~ sPE(op(e4,e0),e4)
    | ~ sPE(e4,op(e0,e0))
    | sPE(op(e4,e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g827,plain,
    ( ~ sPE(op(e4,e0),e4)
    | ~ sPE(e4,op(e4,e3))
    | sPE(op(e4,e0),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g828,plain,
    ( ~ sPE(op(e4,e0),op(e3,e3))
    | sPE(op(e3,e3),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g829,plain,
    ( ~ sPE(op(e1,e0),e1)
    | ~ sPE(e1,op(e1,e1))
    | sPE(op(e1,e0),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g830,plain,
    ( ~ sPE(op(e1,e0),e1)
    | ~ sPE(e1,op(e3,e0))
    | sPE(op(e1,e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g831,plain,
    ( ~ sPE(op(e1,e0),e1)
    | ~ sPE(e1,op(e1,e2))
    | sPE(op(e1,e0),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g832,plain,
    ( ~ sPE(op(e1,e0),e1)
    | ~ sPE(e1,op(e0,e0))
    | sPE(op(e1,e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g833,plain,
    ( ~ sPE(op(e1,e0),e1)
    | ~ sPE(e1,op(op(e3,e1),op(e1,e3)))
    | sPE(op(e1,e0),op(op(e3,e1),op(e1,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g834,plain,
    ( ~ sPE(op(op(e3,e1),op(e1,e3)),e1)
    | sPE(e1,op(op(e3,e1),op(e1,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g835,plain,
    ( ~ sPE(op(e1,e0),e3)
    | ~ sPE(e0,e0)
    | sPE(op(op(e1,e0),e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g836,plain,
    ( ~ sPE(op(e4,e2),e4)
    | ~ sPE(e4,op(e4,e3))
    | sPE(op(e4,e2),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g837,plain,
    ( ~ sPE(op(e4,e2),e4)
    | ~ sPE(e4,op(e2,e0))
    | sPE(op(e4,e2),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g838,plain,
    ( ~ sPE(op(e4,e2),e4)
    | ~ sPE(e4,op(e0,e2))
    | sPE(op(e4,e2),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g839,plain,
    ( ~ sPE(op(e4,e2),e4)
    | ~ sPE(e4,op(e1,e0))
    | sPE(op(e4,e2),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g840,plain,
    ( ~ sPE(e3,op(e3,e2))
    | ~ sPE(op(e3,e2),e1)
    | sPE(e3,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g841,plain,
    ( ~ sPE(op(e3,e2),op(e2,e0))
    | ~ sPE(op(e2,e0),e4)
    | sPE(op(e3,e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g842,plain,
    ( ~ sPE(e2,op(op(e0,e2),op(e2,e0)))
    | ~ sPE(op(op(e0,e2),op(e2,e0)),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g843,plain,
    ( ~ sPE(op(e3,e0),e2)
    | sPE(e2,op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g844,plain,
    ( ~ sPE(op(e0,e4),e1)
    | ~ sPE(e1,op(e1,e4))
    | sPE(op(e0,e4),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g845,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e1,e4))
    | sPE(op(e1,e1),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g846,plain,
    ( ~ sPE(op(e0,e4),e0)
    | ~ sPE(e0,op(e2,e4))
    | sPE(op(e0,e4),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g847,plain,
    ~ sPE(op(e0,e4),op(e2,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g848,plain,
    ( ~ sPE(e3,op(e0,e4))
    | ~ sPE(op(e0,e4),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g849,plain,
    ( ~ sPE(op(e0,e2),e2)
    | ~ sPE(e2,op(e0,e4))
    | sPE(op(e0,e2),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g850,plain,
    ( ~ sPE(e4,op(e0,e3))
    | ~ sPE(op(e0,e3),e3)
    | sPE(e4,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g851,plain,
    ( ~ sPE(e2,op(e0,e3))
    | ~ sPE(op(e0,e3),e3)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g852,plain,
    ( ~ sPE(e1,op(e0,e3))
    | ~ sPE(op(e0,e3),e3)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g853,plain,
    ( ~ sPE(op(e0,e3),op(e0,e0))
    | sPE(op(e0,e0),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g854,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e3),e1)
    | sPE(op(e0,op(e3,e3)),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g855,plain,
    ( ~ sPE(op(e1,e0),e2)
    | sPE(e2,op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g856,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e1,e0),e2)
    | sPE(op(e0,op(e1,e0)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g857,plain,
    ( ~ sPE(op(e1,e4),e4)
    | ~ sPE(op(e4,e1),e2)
    | sPE(op(op(e1,e4),op(e4,e1)),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g858,plain,
    ( ~ sPE(e0,op(e1,e3))
    | ~ sPE(op(e1,e3),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g859,plain,
    ( ~ sPE(op(e0,e0),op(op(e0,e2),op(e2,e0)))
    | ~ sPE(op(op(e0,e2),op(e2,e0)),e2)
    | sPE(op(e0,e0),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g860,plain,
    ( ~ sPE(e0,op(e0,e2))
    | ~ sPE(e0,op(e2,e0))
    | sPE(op(e0,e0),op(op(e0,e2),op(e2,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g861,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e4,e1),e2)
    | sPE(op(e0,op(e4,e1)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g862,plain,
    ( ~ sPE(e0,op(e4,e1))
    | ~ sPE(op(e4,e1),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g863,plain,
    ( ~ sPE(op(e1,e2),e2)
    | ~ sPE(op(e2,e1),e1)
    | sPE(op(op(e1,e2),op(e2,e1)),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g864,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e1,e3))
    | sPE(op(e2,e2),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g865,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e4,e3))
    | sPE(op(e2,e2),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g866,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e1,e0))
    | sPE(op(e2,e2),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g867,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e0,e1))
    | sPE(op(e2,e2),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g868,plain,
    ( ~ sPE(e3,op(e2,e0))
    | ~ sPE(op(e2,e0),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g869,plain,
    ( ~ sPE(op(e2,e0),e0)
    | ~ sPE(op(e2,e2),e4)
    | sPE(op(op(e2,e0),op(e2,e2)),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g870,plain,
    ( ~ sPE(op(e3,e2),e2)
    | ~ sPE(e2,op(e3,e1))
    | sPE(op(e3,e2),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g871,plain,
    ( ~ sPE(op(op(e1,e2),op(e2,e1)),e2)
    | sPE(e2,op(op(e1,e2),op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g872,plain,
    ( ~ sPE(op(e0,e0),e4)
    | ~ sPE(e4,op(e3,e4))
    | sPE(op(e0,e0),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g873,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(e3,e4))
    | sPE(op(e4,e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g874,plain,
    ( ~ sPE(op(op(e3,e4),e0),op(e4,e0))
    | ~ sPE(op(e4,e0),e0)
    | sPE(op(op(e3,e4),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g875,plain,
    ( ~ sPE(op(e2,e0),e0)
    | ~ sPE(e0,op(e3,e0))
    | sPE(op(e2,e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g876,plain,
    ~ sPE(op(e2,e0),op(e3,e0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g877,plain,
    ( ~ sPE(op(e4,e3),op(e4,e1))
    | sPE(op(e4,e1),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g878,plain,
    ( ~ sPE(op(e4,e3),e0)
    | ~ sPE(e0,op(e4,e1))
    | sPE(op(e4,e3),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g879,plain,
    ( ~ sPE(e2,op(e4,e4))
    | ~ sPE(op(e4,e4),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g880,plain,
    ( ~ sPE(e1,op(e4,e4))
    | ~ sPE(op(e4,e4),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g881,plain,
    ( ~ sPE(e0,op(e0,e1))
    | ~ sPE(op(e0,e1),op(e0,op(e4,e1)))
    | sPE(e0,op(e0,op(e4,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g882,plain,
    ( ~ sPE(e1,op(e4,e1))
    | ~ sPE(op(e4,e1),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g883,plain,
    ( ~ sPE(e1,op(e4,e1))
    | ~ sPE(op(e4,e1),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g884,plain,
    ( ~ sPE(op(e4,e1),e1)
    | ~ sPE(e1,op(e0,e0))
    | sPE(op(e4,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g885,plain,
    ( ~ sPE(e2,op(e4,e1))
    | ~ sPE(op(e4,e1),e1)
    | sPE(e2,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g886,plain,
    ( ~ sPE(e3,op(e4,e1))
    | ~ sPE(op(e4,e1),e1)
    | sPE(e3,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g887,plain,
    ( ~ sPE(op(e4,e2),e1)
    | ~ sPE(e1,op(e4,e1))
    | sPE(op(e4,e2),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g888,plain,
    ( ~ sPE(op(e3,e1),e1)
    | ~ sPE(e1,op(e4,e1))
    | sPE(op(e3,e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g889,plain,
    ( ~ sPE(op(op(e4,e1),op(e1,e4)),e1)
    | sPE(e1,op(op(e4,e1),op(e1,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g890,plain,
    ( ~ sPE(op(e4,e1),e1)
    | ~ sPE(e1,op(op(e4,e1),op(e1,e4)))
    | sPE(op(e4,e1),op(op(e4,e1),op(e1,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g891,plain,
    ( ~ sPE(op(e0,e0),op(op(e4,e1),op(e1,e4)))
    | ~ sPE(op(op(e4,e1),op(e1,e4)),e1)
    | sPE(op(e0,e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g892,plain,
    ( ~ sPE(e0,op(e4,e1))
    | ~ sPE(e0,op(e1,e4))
    | sPE(op(e0,e0),op(op(e4,e1),op(e1,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g893,plain,
    ( ~ sPE(op(op(e4,e0),e0),op(e3,e0))
    | ~ sPE(op(e3,e0),e4)
    | sPE(op(op(e4,e0),e0),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g894,plain,
    ( ~ sPE(op(op(e4,e0),e0),op(e2,e0))
    | ~ sPE(op(e2,e0),e4)
    | sPE(op(op(e4,e0),e0),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g895,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e0),e2)
    | sPE(op(e0,op(e3,e0)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g896,plain,
    ( ~ sPE(op(e3,e3),op(op(e2,e1),op(e1,e2)))
    | ~ sPE(op(op(e2,e1),op(e1,e2)),e1)
    | sPE(op(e3,e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g897,plain,
    ( ~ sPE(e3,op(e2,e1))
    | ~ sPE(e3,op(e1,e2))
    | sPE(op(e3,e3),op(op(e2,e1),op(e1,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g898,plain,
    ( ~ sPE(e0,op(e1,e3))
    | ~ sPE(e0,op(e3,e1))
    | sPE(op(e0,e0),op(op(e1,e3),op(e3,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g899,plain,
    ( ~ sPE(op(e2,e0),e4)
    | ~ sPE(e4,op(e4,e0))
    | sPE(op(e2,e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g900,plain,
    ( ~ sPE(op(e1,e0),e4)
    | ~ sPE(e4,op(e4,e0))
    | sPE(op(e1,e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g901,plain,
    ( ~ sPE(op(e3,e1),e3)
    | ~ sPE(e3,op(e3,e2))
    | sPE(op(e3,e1),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g902,plain,
    ~ sPE(op(e3,e0),op(e4,e0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g903,plain,
    ( ~ sPE(e0,op(e3,e1))
    | ~ sPE(op(e3,e1),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g904,plain,
    ( ~ sPE(op(e0,op(e2,e3)),e0)
    | sPE(e0,op(e0,op(e2,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g905,plain,
    ( ~ sPE(e1,op(e1,e3))
    | ~ sPE(op(e1,e3),e3)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g906,plain,
    ( ~ sPE(e3,op(e1,e3))
    | ~ sPE(op(e1,e3),e1)
    | sPE(e3,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g907,plain,
    ( ~ sPE(op(op(e3,e3),e0),e0)
    | sPE(e0,op(op(e3,e3),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g908,plain,
    ( ~ sPE(op(e0,e0),e2)
    | ~ sPE(e2,op(e2,e4))
    | sPE(op(e0,e0),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g909,plain,
    ( ~ sPE(e0,op(e0,op(e1,e0)))
    | ~ sPE(op(e0,op(e1,e0)),op(e0,e2))
    | sPE(e0,op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g910,plain,
    ( ~ sPE(op(e1,e0),op(e2,e4))
    | sPE(op(e2,e4),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g911,plain,
    ( ~ sPE(e2,op(e1,e0))
    | ~ sPE(op(e1,e0),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g912,plain,
    ( ~ sPE(op(e2,e4),e2)
    | ~ sPE(e2,op(op(e4,e2),op(e2,e4)))
    | sPE(op(e2,e4),op(op(e4,e2),op(e2,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g913,plain,
    ( ~ sPE(op(op(e4,e2),op(e2,e4)),e2)
    | sPE(e2,op(op(e4,e2),op(e2,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g914,plain,
    ( ~ sPE(op(op(e4,e2),op(e2,e4)),op(e2,e4))
    | sPE(op(e2,e4),op(op(e4,e2),op(e2,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g915,plain,
    ( ~ sPE(op(e0,e0),op(op(e4,e4),op(e4,e4)))
    | ~ sPE(op(op(e4,e4),op(e4,e4)),e4)
    | sPE(op(e0,e0),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g916,plain,
    ( ~ sPE(op(e0,e2),e0)
    | ~ sPE(e0,op(e0,e3))
    | sPE(op(e0,e2),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g917,plain,
    ~ sPE(op(e0,e2),op(e0,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g918,plain,
    ( ~ sPE(op(e0,e2),e2)
    | ~ sPE(e2,op(e0,e0))
    | sPE(op(e0,e2),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g919,plain,
    ~ sPE(op(e2,e4),op(e3,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g920,plain,
    ( ~ sPE(op(e0,e4),e4)
    | ~ sPE(e4,op(e0,e0))
    | sPE(op(e0,e4),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g921,plain,
    ( ~ sPE(op(e0,e4),e4)
    | ~ sPE(e4,op(e4,e4))
    | sPE(op(e0,e4),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g922,plain,
    ( ~ sPE(op(e0,e4),op(e3,e3))
    | sPE(op(e3,e3),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g923,plain,
    ( ~ sPE(op(e3,e3),op(e0,e4))
    | sPE(op(e0,e4),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g924,plain,
    ( ~ sPE(op(e0,e4),op(e3,e3))
    | ~ sPE(op(e3,e3),e2)
    | sPE(op(e0,e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g925,plain,
    ( ~ sPE(e4,op(e0,op(e0,e4)))
    | ~ sPE(op(e0,op(e0,e4)),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g926,plain,
    ( ~ sPE(e3,op(e1,e3))
    | ~ sPE(op(e1,e3),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g927,plain,
    ( ~ sPE(e3,op(e1,e3))
    | ~ sPE(op(e1,e3),e4)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g928,plain,
    ( ~ sPE(op(e1,e3),e3)
    | ~ sPE(e3,op(e0,e0))
    | sPE(op(e1,e3),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g929,plain,
    ( ~ sPE(op(e1,e3),e3)
    | ~ sPE(e3,op(e0,e3))
    | sPE(op(e1,e3),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g930,plain,
    ( ~ sPE(op(e1,e3),op(e0,e3))
    | sPE(op(e0,e3),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g931,plain,
    ~ sPE(op(e0,e3),op(e1,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g932,plain,
    ( ~ sPE(e2,op(e1,e2))
    | ~ sPE(op(e1,e2),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g933,plain,
    ( ~ sPE(e2,op(e1,e2))
    | ~ sPE(op(e1,e2),e1)
    | sPE(e2,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g934,plain,
    ( ~ sPE(op(e1,e2),e2)
    | ~ sPE(e2,op(e2,e2))
    | sPE(op(e1,e2),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g935,plain,
    ( ~ sPE(op(e1,e2),e2)
    | ~ sPE(e2,op(e3,e2))
    | sPE(op(e1,e2),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g936,plain,
    ( ~ sPE(op(e1,e2),e2)
    | ~ sPE(e2,op(e1,e4))
    | sPE(op(e1,e2),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g937,plain,
    ( ~ sPE(op(e3,e4),e2)
    | sPE(e2,op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g938,plain,
    ( ~ sPE(op(e1,e2),e2)
    | ~ sPE(e2,op(e0,e4))
    | sPE(op(e1,e2),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g939,plain,
    ( ~ sPE(op(e1,e2),e2)
    | ~ sPE(e2,op(e4,e2))
    | sPE(op(e1,e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g940,plain,
    ( ~ sPE(e2,op(e4,e2))
    | ~ sPE(op(e4,e2),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g941,plain,
    ( ~ sPE(op(e4,e2),op(e1,e2))
    | sPE(op(e1,e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g942,plain,
    ~ sPE(op(e1,e2),op(e4,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g943,plain,
    ( ~ sPE(op(op(e1,e2),op(e2,e1)),op(e2,e1))
    | ~ sPE(op(e2,e1),e1)
    | sPE(op(op(e1,e2),op(e2,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g944,plain,
    ( ~ sPE(e1,op(e3,e1))
    | ~ sPE(op(e3,e1),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g945,plain,
    ( ~ sPE(e1,op(e3,e1))
    | ~ sPE(op(e3,e1),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g946,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e3,e1))
    | sPE(op(e3,e3),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g947,plain,
    ( ~ sPE(e0,op(e0,e4))
    | ~ sPE(op(e0,e4),e3)
    | sPE(e0,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g948,plain,
    ( ~ sPE(op(e3,e4),op(e0,e1))
    | ~ sPE(op(e0,e1),e3)
    | sPE(op(e3,e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g949,plain,
    ( ~ sPE(op(e3,e4),op(e1,e0))
    | ~ sPE(op(e1,e0),e3)
    | sPE(op(e3,e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g950,plain,
    ( ~ sPE(e0,op(e3,e4))
    | ~ sPE(op(e3,e4),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g951,plain,
    ( ~ sPE(op(e2,e2),op(e1,e3))
    | ~ sPE(op(e1,e3),e4)
    | sPE(op(e2,e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g952,plain,
    ( ~ sPE(op(e2,e2),op(e0,e0))
    | ~ sPE(op(e0,e0),e4)
    | sPE(op(e2,e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g953,plain,
    ( ~ sPE(op(e2,e2),op(e1,e0))
    | ~ sPE(op(e1,e0),e4)
    | sPE(op(e2,e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g954,plain,
    ( ~ sPE(op(e4,e1),op(e3,e3))
    | ~ sPE(op(e3,e3),e4)
    | sPE(op(e4,e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g955,plain,
    ( ~ sPE(op(op(e1,e0),e0),op(e3,e0))
    | ~ sPE(op(e3,e0),e1)
    | sPE(op(op(e1,e0),e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g956,plain,
    ( ~ sPE(e3,op(e3,e0))
    | ~ sPE(op(e3,e0),e1)
    | sPE(e3,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g957,plain,
    ( ~ sPE(e3,op(e3,e0))
    | ~ sPE(op(e3,e0),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g958,plain,
    ( ~ sPE(e3,op(e3,e0))
    | ~ sPE(op(e3,e0),e4)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g959,plain,
    ( ~ sPE(op(e3,e0),e3)
    | ~ sPE(e3,op(e0,e0))
    | sPE(op(e3,e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g960,plain,
    ( ~ sPE(op(e3,e0),e3)
    | ~ sPE(e3,op(e2,e3))
    | sPE(op(e3,e0),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g961,plain,
    ( ~ sPE(op(e3,e0),e3)
    | ~ sPE(e3,op(e3,e2))
    | sPE(op(e3,e0),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g962,plain,
    ( ~ sPE(op(e0,e0),op(op(e0,e3),op(e3,e0)))
    | ~ sPE(op(op(e0,e3),op(e3,e0)),e3)
    | sPE(op(e0,e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g963,plain,
    ( ~ sPE(op(op(e0,e3),op(e3,e0)),e3)
    | sPE(e3,op(op(e0,e3),op(e3,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g964,plain,
    ( ~ sPE(e3,op(op(e0,e3),op(e3,e0)))
    | ~ sPE(op(op(e0,e3),op(e3,e0)),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g965,plain,
    ( ~ sPE(e2,op(e2,e1))
    | ~ sPE(op(e2,e1),e1)
    | sPE(e2,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g966,plain,
    ( ~ sPE(e2,op(e2,e1))
    | ~ sPE(op(e2,e1),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g967,plain,
    ~ sPE(op(e1,e1),op(e1,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g968,plain,
    ( ~ sPE(op(e0,e1),op(e0,e0))
    | sPE(op(e0,e0),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g969,plain,
    ( ~ sPE(op(e2,e2),e0)
    | ~ sPE(e0,op(e2,e4))
    | sPE(op(e2,e2),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g970,plain,
    ~ sPE(op(e2,e2),op(e2,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g971,plain,
    ( ~ sPE(op(e0,op(e0,e4)),op(e0,e1))
    | ~ sPE(op(e0,e1),e0)
    | sPE(op(e0,op(e0,e4)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g972,plain,
    ( ~ sPE(op(e0,op(e4,e1)),op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(op(e0,op(e4,e1)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g973,plain,
    ( ~ sPE(op(e0,op(e3,e3)),op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(op(e0,op(e3,e3)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g974,plain,
    ( ~ sPE(op(e0,e0),op(e1,e3))
    | sPE(op(e1,e3),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g975,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e0,e0))
    | sPE(op(e3,e3),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g976,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e1,e0))
    | sPE(op(e3,e3),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g977,plain,
    ( ~ sPE(op(e2,e4),e2)
    | ~ sPE(e2,op(e0,e0))
    | sPE(op(e2,e4),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g978,plain,
    ( ~ sPE(e2,op(op(e4,e2),op(e2,e4)))
    | ~ sPE(op(op(e4,e2),op(e2,e4)),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g979,plain,
    ( ~ sPE(op(e4,e2),e0)
    | ~ sPE(op(e2,e4),e0)
    | sPE(op(op(e4,e2),op(e2,e4)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g980,plain,
    ( ~ sPE(op(e2,e4),op(op(e4,e2),op(e2,e4)))
    | ~ sPE(op(op(e4,e2),op(e2,e4)),e2)
    | sPE(op(e2,e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g981,plain,
    ( ~ sPE(op(e2,e4),op(op(e4,e2),op(e2,e4)))
    | ~ sPE(e0,e0)
    | sPE(op(op(e2,e4),e0),op(op(op(e4,e2),op(e2,e4)),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g982,plain,
    ( ~ sPE(op(op(e2,e4),e0),op(op(op(e4,e2),op(e2,e4)),e0))
    | ~ sPE(op(op(op(e4,e2),op(e2,e4)),e0),e0)
    | sPE(op(op(e2,e4),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g983,plain,
    ( ~ sPE(e0,op(op(e2,e4),e0))
    | ~ sPE(op(op(e2,e4),e0),op(op(op(e4,e2),op(e2,e4)),e0))
    | sPE(e0,op(op(op(e4,e2),op(e2,e4)),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g984,plain,
    ( ~ sPE(op(e0,op(e2,e4)),e0)
    | sPE(e0,op(e0,op(e2,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g985,plain,
    ~ sPE(op(e0,e2),op(e4,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g986,plain,
    ( ~ sPE(op(e1,e3),e1)
    | ~ sPE(e1,op(e1,e4))
    | sPE(op(e1,e3),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g987,plain,
    ( ~ sPE(op(e3,e3),e1)
    | ~ sPE(e1,op(e1,e4))
    | sPE(op(e3,e3),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g988,plain,
    ( ~ sPE(op(e1,e2),e1)
    | ~ sPE(e1,op(e1,e4))
    | sPE(op(e1,e2),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g989,plain,
    ( ~ sPE(op(e4,e4),e1)
    | ~ sPE(e1,op(e1,e4))
    | sPE(op(e4,e4),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g990,plain,
    ( ~ sPE(op(e0,op(e4,e4)),op(e0,e1))
    | ~ sPE(op(e0,e1),e0)
    | sPE(op(e0,op(e4,e4)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g991,plain,
    ( ~ sPE(e0,op(op(e4,e4),e0))
    | ~ sPE(op(op(e4,e4),e0),op(e1,e0))
    | sPE(e0,op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g992,plain,
    ( ~ sPE(op(e4,e4),op(e1,e4))
    | sPE(op(e1,e4),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g993,plain,
    ( ~ sPE(op(e0,op(e0,e4)),e0)
    | sPE(e0,op(e0,op(e0,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g994,plain,
    ( ~ sPE(op(e0,e0),e4)
    | ~ sPE(e4,op(e0,e4))
    | sPE(op(e0,e0),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g995,plain,
    ( ~ sPE(op(e3,e3),e4)
    | ~ sPE(e4,op(e0,e4))
    | sPE(op(e3,e3),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g996,plain,
    ( ~ sPE(op(op(e3,e3),e0),op(e4,e0))
    | ~ sPE(op(e4,e0),e0)
    | sPE(op(op(e3,e3),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g997,plain,
    ( ~ sPE(e0,op(op(e3,e3),e0))
    | ~ sPE(op(op(e3,e3),e0),op(e4,e0))
    | sPE(e0,op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g998,plain,
    ( ~ sPE(e4,op(e3,e3))
    | ~ sPE(op(e3,e3),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g999,plain,
    ( ~ sPE(e0,op(e0,op(e3,e3)))
    | ~ sPE(op(e0,op(e3,e3)),op(e0,e4))
    | sPE(e0,op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1000,plain,
    ( ~ sPE(op(e0,e3),e4)
    | ~ sPE(e4,op(e0,e4))
    | sPE(op(e0,e3),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1001,plain,
    ( ~ sPE(op(e0,e4),e4)
    | ~ sPE(e4,op(op(e0,e4),op(e4,e0)))
    | sPE(op(e0,e4),op(op(e0,e4),op(e4,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1002,plain,
    ( ~ sPE(op(e0,e1),e1)
    | ~ sPE(e1,op(e0,e4))
    | sPE(op(e0,e1),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1003,plain,
    ( ~ sPE(op(e0,e1),e1)
    | ~ sPE(e1,op(e2,e4))
    | sPE(op(e0,e1),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1004,plain,
    ( ~ sPE(op(e0,e1),e1)
    | ~ sPE(e1,op(e4,e4))
    | sPE(op(e0,e1),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1005,plain,
    ( ~ sPE(op(e0,e1),e1)
    | ~ sPE(e1,op(e2,e1))
    | sPE(op(e0,e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1006,plain,
    ( ~ sPE(op(e0,e1),e1)
    | ~ sPE(e1,op(e0,e2))
    | sPE(op(e0,e1),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1007,plain,
    ( ~ sPE(op(op(e2,e1),op(e1,e2)),e1)
    | sPE(e1,op(op(e2,e1),op(e1,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1008,plain,
    ( ~ sPE(op(op(e2,e1),op(e1,e2)),op(e0,e1))
    | sPE(op(e0,e1),op(op(e2,e1),op(e1,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1009,plain,
    ( ~ sPE(op(e0,e1),op(op(e2,e1),op(e1,e2)))
    | ~ sPE(op(op(e2,e1),op(e1,e2)),e1)
    | sPE(op(e0,e1),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1010,plain,
    ( ~ sPE(e3,op(e0,e1))
    | ~ sPE(op(e0,e1),e1)
    | sPE(e3,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1011,plain,
    ( ~ sPE(e2,op(e0,e1))
    | ~ sPE(op(e0,e1),e1)
    | sPE(e2,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1012,plain,
    ( ~ sPE(e2,e1)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1013,plain,
    ( ~ sPE(e1,e2)
    | ~ sPE(e0,e0)
    | sPE(op(e1,e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1014,plain,
    ~ sPE(op(e1,e2),op(e3,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1015,plain,
    ( ~ sPE(e4,op(e2,e3))
    | ~ sPE(op(e2,e3),e3)
    | sPE(e4,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1016,plain,
    ( ~ sPE(e0,op(e2,e2))
    | sPE(op(e2,e2),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1017,plain,
    ( ~ sPE(op(e3,e2),op(e1,e4))
    | ~ sPE(op(e1,e4),e3)
    | sPE(op(e3,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1018,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e4,e4),op(e3,e2))
    | sPE(op(e0,op(e4,e4)),op(e0,op(e3,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1019,plain,
    ( ~ sPE(e2,op(e4,e4))
    | ~ sPE(op(e4,e4),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1020,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e4,e4),e2)
    | sPE(op(e0,op(e4,e4)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1021,plain,
    ( ~ sPE(op(e0,op(e4,e4)),op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(op(e0,op(e4,e4)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1022,plain,
    ( ~ sPE(op(op(e0,e4),e4),op(e3,e4))
    | ~ sPE(op(e3,e4),e0)
    | sPE(op(op(e0,e4),e4),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1023,plain,
    ( ~ sPE(op(e3,e2),e0)
    | ~ sPE(e0,op(e3,e4))
    | sPE(op(e3,e2),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1024,plain,
    ( ~ sPE(op(e3,e4),op(e3,e2))
    | sPE(op(e3,e2),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1025,plain,
    ( ~ sPE(op(e4,e3),e0)
    | ~ sPE(e0,op(e4,e2))
    | sPE(op(e4,e3),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1026,plain,
    ( ~ sPE(op(e3,e1),op(e4,e3))
    | sPE(op(e4,e3),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1027,plain,
    ( ~ sPE(e3,op(e4,e3))
    | ~ sPE(op(e4,e3),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1028,plain,
    ( ~ sPE(e3,op(e4,e3))
    | ~ sPE(op(e4,e3),e1)
    | sPE(e3,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1029,plain,
    ~ sPE(op(e0,e1),op(e0,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1030,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e2),e3)
    | sPE(op(e0,op(e0,e2)),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1031,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e3),e2)
    | sPE(op(e0,op(e0,e3)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1032,plain,
    ( ~ sPE(e0,op(e0,e3))
    | ~ sPE(op(e0,e3),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1033,plain,
    ( ~ sPE(op(e2,e2),e1)
    | sPE(e1,op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1034,plain,
    ( ~ sPE(e0,op(e4,e3))
    | ~ sPE(e0,op(e3,e4))
    | sPE(op(e0,e0),op(op(e4,e3),op(e3,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1035,plain,
    ( ~ sPE(op(op(e1,e4),op(e4,e1)),op(e4,e2))
    | sPE(op(e4,e2),op(op(e1,e4),op(e4,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1036,plain,
    ( ~ sPE(op(e4,e2),e4)
    | ~ sPE(e4,op(e4,e1))
    | sPE(op(e4,e2),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1037,plain,
    ( ~ sPE(op(e4,e2),op(op(e1,e4),op(e4,e1)))
    | ~ sPE(op(op(e1,e4),op(e4,e1)),e4)
    | sPE(op(e4,e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1038,plain,
    ( ~ sPE(op(e4,e2),e4)
    | ~ sPE(op(e2,e4),e2)
    | sPE(op(op(e4,e2),op(e2,e4)),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1039,plain,
    ( ~ sPE(op(e0,op(e3,e2)),e0)
    | sPE(e0,op(e0,op(e3,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1040,plain,
    ~ sPE(op(e1,e3),op(e1,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1041,plain,
    ( ~ sPE(e2,op(e3,e3))
    | ~ sPE(op(e3,e3),e3)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1042,plain,
    ( ~ sPE(e4,op(e3,e3))
    | ~ sPE(op(e3,e3),e3)
    | sPE(e4,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1043,plain,
    ( ~ sPE(op(e3,e4),e3)
    | ~ sPE(e3,op(e2,e4))
    | sPE(op(e3,e4),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1044,plain,
    ( ~ sPE(op(e3,e4),op(e2,e4))
    | sPE(op(e2,e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1045,plain,
    ( ~ sPE(op(e1,e4),e1)
    | ~ sPE(e1,op(e0,e0))
    | sPE(op(e1,e4),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1046,plain,
    ( ~ sPE(op(op(e0,e1),op(e1,e0)),e1)
    | sPE(e1,op(op(e0,e1),op(e1,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1047,plain,
    ( ~ sPE(op(e0,e1),e0)
    | ~ sPE(op(e1,e0),e0)
    | sPE(op(op(e0,e1),op(e1,e0)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1048,plain,
    ( ~ sPE(e1,op(op(e0,e1),op(e1,e0)))
    | ~ sPE(op(op(e0,e1),op(e1,e0)),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1049,plain,
    ( ~ sPE(op(e0,op(e1,e4)),e0)
    | sPE(e0,op(e0,op(e1,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1050,plain,
    ( ~ sPE(op(e0,e4),e4)
    | ~ sPE(e4,op(e2,e4))
    | sPE(op(e0,e4),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1051,plain,
    ( ~ sPE(e3,op(e0,e4))
    | ~ sPE(op(e0,e4),e4)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1052,plain,
    ( ~ sPE(e2,op(e0,e4))
    | ~ sPE(op(e0,e4),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1053,plain,
    ( ~ sPE(op(e0,e4),op(e0,e0))
    | sPE(op(e0,e0),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1054,plain,
    ( ~ sPE(e1,op(e0,e4))
    | ~ sPE(op(e0,e4),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1055,plain,
    ( ~ sPE(e0,op(e0,op(e0,e4)))
    | ~ sPE(op(e0,op(e0,e4)),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1056,plain,
    ( ~ sPE(op(e3,e3),e1)
    | ~ sPE(e1,op(e1,e1))
    | sPE(op(e3,e3),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1057,plain,
    ( ~ sPE(op(e2,e2),e1)
    | ~ sPE(e1,op(e1,e1))
    | sPE(op(e2,e2),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1058,plain,
    ( ~ sPE(op(e2,e2),op(e1,e1))
    | sPE(op(e1,e1),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1059,plain,
    ~ sPE(op(e2,e1),op(e4,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1060,plain,
    ( ~ sPE(op(e2,e3),e3)
    | ~ sPE(e3,op(op(e4,e3),op(e3,e4)))
    | sPE(op(e2,e3),op(op(e4,e3),op(e3,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1061,plain,
    ( ~ sPE(op(op(e4,e3),op(e3,e4)),e3)
    | sPE(e3,op(op(e4,e3),op(e3,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1062,plain,
    ( ~ sPE(op(e2,e3),op(op(e4,e3),op(e3,e4)))
    | ~ sPE(op(op(e4,e3),op(e3,e4)),op(e0,e0))
    | sPE(op(e2,e3),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1063,plain,
    ( ~ sPE(op(e4,e3),e0)
    | ~ sPE(op(e3,e4),e0)
    | sPE(op(op(e4,e3),op(e3,e4)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1064,plain,
    ( ~ sPE(op(e4,e2),e3)
    | ~ sPE(e3,op(e2,e3))
    | sPE(op(e4,e2),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1065,plain,
    ( ~ sPE(op(e2,e3),e0)
    | ~ sPE(e0,op(e2,e4))
    | sPE(op(e2,e3),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1066,plain,
    ( ~ sPE(op(e2,e4),op(e2,e3))
    | sPE(op(e2,e3),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1067,plain,
    ( ~ sPE(e1,op(e2,e2))
    | ~ sPE(op(e2,e2),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1068,plain,
    ( ~ sPE(e0,op(e3,e3))
    | ~ sPE(e0,op(e3,e3))
    | sPE(op(e0,e0),op(op(e3,e3),op(e3,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1069,plain,
    ( ~ sPE(op(op(e3,e3),op(e3,e3)),e3)
    | sPE(e3,op(op(e3,e3),op(e3,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1070,plain,
    ( ~ sPE(op(e1,op(e1,e3)),op(e1,e4))
    | ~ sPE(op(e1,e4),e3)
    | sPE(op(e1,op(e1,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1071,plain,
    ( ~ sPE(op(e1,op(e1,e3)),op(op(e4,e3),op(e3,e4)))
    | ~ sPE(op(op(e4,e3),op(e3,e4)),e3)
    | sPE(op(e1,op(e1,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1072,plain,
    ( ~ sPE(e1,op(e4,e3))
    | ~ sPE(op(e1,e3),op(e3,e4))
    | sPE(op(e1,op(e1,e3)),op(op(e4,e3),op(e3,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1073,plain,
    ( ~ sPE(op(e1,e3),e0)
    | ~ sPE(e0,op(e3,e4))
    | sPE(op(e1,e3),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1074,plain,
    ( ~ sPE(op(e1,e0),op(e3,e4))
    | sPE(op(e3,e4),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1075,plain,
    ( ~ sPE(op(e2,e1),op(e1,e3))
    | ~ sPE(op(e1,e3),e2)
    | sPE(op(e2,e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1076,plain,
    ( ~ sPE(op(e0,op(e0,e3)),op(e0,e2))
    | ~ sPE(op(e0,e2),e3)
    | sPE(op(e0,op(e0,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1077,plain,
    ( ~ sPE(op(op(e4,e1),e1),op(e2,e1))
    | ~ sPE(op(e2,e1),e4)
    | sPE(op(op(e4,e1),e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1078,plain,
    ( ~ sPE(op(op(e2,e4),e4),op(e3,e4))
    | ~ sPE(op(e3,e4),e2)
    | sPE(op(op(e2,e4),e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1079,plain,
    ( ~ sPE(op(e1,e3),op(op(e0,e4),op(e4,e0)))
    | ~ sPE(op(op(e0,e4),op(e4,e0)),e4)
    | sPE(op(e1,e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1080,plain,
    ( ~ sPE(e1,op(e0,e4))
    | ~ sPE(e3,op(e4,e0))
    | sPE(op(e1,e3),op(op(e0,e4),op(e4,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1081,plain,
    ( ~ sPE(op(e4,e0),e2)
    | ~ sPE(e0,e0)
    | sPE(op(op(e4,e0),e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1082,plain,
    ( ~ sPE(e0,op(e4,e0))
    | ~ sPE(op(e4,e0),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1083,plain,
    ( ~ sPE(e2,op(e2,e0))
    | ~ sPE(op(e2,e0),e1)
    | sPE(e2,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1084,plain,
    ( ~ sPE(op(e2,e0),e2)
    | ~ sPE(e2,op(op(e1,e2),op(e2,e1)))
    | sPE(op(e2,e0),op(op(e1,e2),op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1085,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e2,e0),op(op(e1,e2),op(e2,e1)))
    | sPE(op(e0,op(e2,e0)),op(e0,op(op(e1,e2),op(e2,e1)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1086,plain,
    ( ~ sPE(op(e0,op(e2,e0)),op(e0,op(op(e1,e2),op(e2,e1))))
    | ~ sPE(op(e0,op(op(e1,e2),op(e2,e1))),e0)
    | sPE(op(e0,op(e2,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1087,plain,
    ( ~ sPE(op(e0,e2),op(e0,op(e2,e0)))
    | ~ sPE(op(e0,op(e2,e0)),e0)
    | sPE(op(e0,e2),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1088,plain,
    ( ~ sPE(op(e0,e2),e0)
    | ~ sPE(op(e2,e0),e2)
    | sPE(op(op(e0,e2),op(e2,e0)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1089,plain,
    ( ~ sPE(e4,op(e3,e0))
    | ~ sPE(op(e3,e0),e3)
    | sPE(e4,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1090,plain,
    ( ~ sPE(e1,op(e3,e0))
    | ~ sPE(op(e3,e0),e3)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1091,plain,
    ( ~ sPE(op(e3,e1),e3)
    | ~ sPE(e3,op(e0,e4))
    | sPE(op(e3,e1),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1092,plain,
    ( ~ sPE(op(e3,e1),e3)
    | ~ sPE(e3,op(e2,e1))
    | sPE(op(e3,e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1093,plain,
    ( ~ sPE(op(e3,e1),e3)
    | ~ sPE(e3,op(e3,e4))
    | sPE(op(e3,e1),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1094,plain,
    ( ~ sPE(op(e3,e1),e3)
    | ~ sPE(e3,op(e3,e3))
    | sPE(op(e3,e1),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1095,plain,
    ( ~ sPE(op(e3,e2),e3)
    | ~ sPE(e3,op(e3,e4))
    | sPE(op(e3,e2),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1096,plain,
    ( ~ sPE(op(e4,e2),e4)
    | ~ sPE(e4,op(e4,e4))
    | sPE(op(e4,e2),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1097,plain,
    ( ~ sPE(op(e4,e2),e4)
    | ~ sPE(e4,op(e3,e0))
    | sPE(op(e4,e2),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1098,plain,
    ( ~ sPE(op(e4,e2),op(op(e1,e4),op(e4,e1)))
    | ~ sPE(op(op(e1,e4),op(e4,e1)),op(e0,e0))
    | sPE(op(e4,e2),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1099,plain,
    ( ~ sPE(e2,op(e0,e3))
    | ~ sPE(op(e0,e3),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1100,plain,
    ( ~ sPE(op(e2,e0),e2)
    | ~ sPE(e2,op(e2,e4))
    | sPE(op(e2,e0),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1101,plain,
    ~ sPE(op(e2,e0),op(e2,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1102,plain,
    ( ~ sPE(op(e0,e1),e4)
    | ~ sPE(e4,op(e0,e4))
    | sPE(op(e0,e1),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1103,plain,
    ~ sPE(op(e0,e1),op(e0,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1104,plain,
    ( ~ sPE(op(e2,e1),e1)
    | ~ sPE(e1,op(e3,e1))
    | sPE(op(e2,e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1105,plain,
    ~ sPE(op(e2,e1),op(e3,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1106,plain,
    ( ~ sPE(e0,op(e0,e2))
    | ~ sPE(op(e0,e2),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1107,plain,
    ( ~ sPE(e0,op(e3,e4))
    | ~ sPE(op(e3,e4),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1108,plain,
    ( ~ sPE(op(op(e3,e4),e4),op(e1,e4))
    | ~ sPE(op(e1,e4),e3)
    | sPE(op(op(e3,e4),e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1109,plain,
    ( ~ sPE(op(e3,e4),e1)
    | ~ sPE(e4,e4)
    | sPE(op(op(e3,e4),e4),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1110,plain,
    ( ~ sPE(op(e4,e4),e1)
    | ~ sPE(e4,e4)
    | sPE(op(op(e4,e4),e4),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1111,plain,
    ( ~ sPE(op(op(e4,e4),e4),op(e4,e4))
    | ~ sPE(op(e4,e4),e4)
    | sPE(op(op(e4,e4),e4),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1112,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,e4)
    | sPE(op(op(e4,e4),e4),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1113,plain,
    ( ~ sPE(e2,op(e3,e0))
    | ~ sPE(op(e3,e0),e3)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1114,plain,
    ( ~ sPE(op(e3,e0),op(e0,e0))
    | sPE(op(e0,e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1115,plain,
    ( ~ sPE(op(e2,e0),e3)
    | ~ sPE(e3,op(e3,e0))
    | sPE(op(e2,e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1116,plain,
    ( ~ sPE(op(e3,e0),e3)
    | ~ sPE(e3,op(e4,e3))
    | sPE(op(e3,e0),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1117,plain,
    ( ~ sPE(op(e3,e0),e3)
    | ~ sPE(e3,op(e3,e1))
    | sPE(op(e3,e0),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1118,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e3,e4))
    | sPE(op(e1,e1),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1119,plain,
    ( ~ sPE(op(e1,e1),op(e3,e4))
    | ~ sPE(e0,e0)
    | sPE(op(op(e1,e1),e0),op(op(e3,e4),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1120,plain,
    ( ~ sPE(op(op(e1,e1),e0),op(op(e3,e4),e0))
    | ~ sPE(op(op(e3,e4),e0),e0)
    | sPE(op(op(e1,e1),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1121,plain,
    ( ~ sPE(op(e3,e4),op(e1,e1))
    | sPE(op(e1,e1),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1122,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e1,e1),op(e3,e4))
    | sPE(op(e0,op(e1,e1)),op(e0,op(e3,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1123,plain,
    ( ~ sPE(e0,op(e0,op(e1,e1)))
    | ~ sPE(op(e0,op(e1,e1)),op(e0,op(e3,e4)))
    | sPE(e0,op(e0,op(e3,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1124,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(op(e1,e2),op(e2,e1)))
    | sPE(op(e2,e2),op(op(e1,e2),op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1125,plain,
    ( ~ sPE(op(e1,e3),e4)
    | ~ sPE(e4,op(e4,e3))
    | sPE(op(e1,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1126,plain,
    ( ~ sPE(op(e3,e0),op(e4,e3))
    | ~ sPE(op(e4,e3),e4)
    | sPE(op(e3,e0),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1127,plain,
    ( ~ sPE(op(e3,e1),e4)
    | ~ sPE(e4,op(e4,e3))
    | sPE(op(e3,e1),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1128,plain,
    ( ~ sPE(op(e0,e0),e4)
    | ~ sPE(e4,op(e4,e3))
    | sPE(op(e0,e0),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1129,plain,
    ( ~ sPE(op(e1,e3),e1)
    | ~ sPE(e1,op(e4,e3))
    | sPE(op(e1,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1130,plain,
    ~ sPE(op(e1,e3),op(e4,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1131,plain,
    ( ~ sPE(op(e0,e0),op(op(e4,e3),op(e3,e4)))
    | ~ sPE(op(op(e4,e3),op(e3,e4)),e3)
    | sPE(op(e0,e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1132,plain,
    ( ~ sPE(op(e0,e4),e4)
    | ~ sPE(e4,op(e1,e4))
    | sPE(op(e0,e4),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1133,plain,
    ~ sPE(op(e2,e0),op(e4,e0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1134,plain,
    ( ~ sPE(op(e0,e4),e4)
    | ~ sPE(op(e4,e0),e0)
    | sPE(op(op(e0,e4),op(e4,e0)),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1135,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e4,e3))
    | sPE(op(e1,e1),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1136,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(op(e2,e1),op(e1,e2)))
    | sPE(op(e1,e1),op(op(e2,e1),op(e1,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1137,plain,
    ( ~ sPE(op(e1,e1),op(op(e2,e1),op(e1,e2)))
    | ~ sPE(op(op(e2,e1),op(e1,e2)),op(e0,e0))
    | sPE(op(e1,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1138,plain,
    ( ~ sPE(op(e2,e1),e0)
    | ~ sPE(op(e1,e2),e0)
    | sPE(op(op(e2,e1),op(e1,e2)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1139,plain,
    ( ~ sPE(op(e2,e3),e3)
    | ~ sPE(e3,op(e0,e3))
    | sPE(op(e2,e3),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1140,plain,
    ( ~ sPE(op(op(e2,e2),e0),e0)
    | sPE(e0,op(op(e2,e2),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1141,plain,
    ( ~ sPE(op(e0,e2),e2)
    | ~ sPE(e2,op(e3,e2))
    | sPE(op(e0,e2),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1142,plain,
    ( ~ sPE(op(e3,e4),op(e0,e0))
    | sPE(op(e0,e0),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1143,plain,
    ( ~ sPE(e1,op(e3,e4))
    | ~ sPE(op(e3,e4),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1144,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(e1,e2))
    | sPE(op(e4,e4),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1145,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(e3,e1))
    | sPE(op(e4,e4),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1146,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(e4,e1))
    | sPE(op(e4,e4),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1147,plain,
    ( ~ sPE(op(e4,e4),op(e2,e2))
    | ~ sPE(op(e2,e2),e1)
    | sPE(op(e4,e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1148,plain,
    ( ~ sPE(op(e4,e4),op(op(e0,e1),op(e1,e0)))
    | ~ sPE(op(op(e0,e1),op(e1,e0)),e1)
    | sPE(op(e4,e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1149,plain,
    ( ~ sPE(e4,op(e0,e1))
    | ~ sPE(e4,op(e1,e0))
    | sPE(op(e4,e4),op(op(e0,e1),op(e1,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1150,plain,
    ( ~ sPE(op(op(e4,e2),e2),op(e1,e2))
    | ~ sPE(op(e1,e2),e4)
    | sPE(op(op(e4,e2),e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1151,plain,
    ( ~ sPE(op(op(e2,e4),op(e4,e2)),op(e0,e0))
    | sPE(op(e0,e0),op(op(e2,e4),op(e4,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1152,plain,
    ( ~ sPE(e0,op(e2,e4))
    | ~ sPE(e0,op(e4,e2))
    | sPE(op(e0,e0),op(op(e2,e4),op(e4,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1153,plain,
    ( ~ sPE(op(op(e1,e4),e4),op(e2,e4))
    | ~ sPE(op(e2,e4),e1)
    | sPE(op(op(e1,e4),e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1154,plain,
    ( ~ sPE(op(op(e1,e4),e4),op(e3,e4))
    | ~ sPE(op(e3,e4),e1)
    | sPE(op(op(e1,e4),e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1155,plain,
    ( ~ sPE(op(e1,e4),e3)
    | ~ sPE(e4,e4)
    | sPE(op(op(e1,e4),e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1156,plain,
    ( ~ sPE(op(op(e1,e0),e0),op(e2,e0))
    | ~ sPE(op(e2,e0),e1)
    | sPE(op(op(e1,e0),e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1157,plain,
    ( ~ sPE(op(op(e3,e1),e1),op(e0,e1))
    | ~ sPE(op(e0,e1),e3)
    | sPE(op(op(e3,e1),e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1158,plain,
    ( ~ sPE(op(e3,e1),e0)
    | ~ sPE(e1,e1)
    | sPE(op(op(e3,e1),e1),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1159,plain,
    ( ~ sPE(op(e0,e1),op(e2,e0))
    | ~ sPE(op(e2,e0),e3)
    | sPE(op(e0,e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1160,plain,
    ( ~ sPE(op(op(e3,e1),e1),op(e2,e1))
    | ~ sPE(op(e2,e1),e3)
    | sPE(op(op(e3,e1),e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1161,plain,
    ( ~ sPE(op(e3,e1),e2)
    | ~ sPE(e1,e1)
    | sPE(op(op(e3,e1),e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1162,plain,
    ( ~ sPE(op(e0,e1),op(e4,e4))
    | ~ sPE(op(e4,e4),e3)
    | sPE(op(e0,e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1163,plain,
    ( ~ sPE(op(op(e3,e1),e1),op(e4,e1))
    | ~ sPE(op(e4,e1),e3)
    | sPE(op(op(e3,e1),e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1164,plain,
    ( ~ sPE(op(e3,e1),e4)
    | ~ sPE(e1,e1)
    | sPE(op(op(e3,e1),e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1165,plain,
    ( ~ sPE(op(op(e3,e1),e1),op(e3,e1))
    | ~ sPE(op(e3,e1),e3)
    | sPE(op(op(e3,e1),e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1166,plain,
    ( ~ sPE(op(e3,e1),e3)
    | ~ sPE(e1,e1)
    | sPE(op(op(e3,e1),e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1167,plain,
    ( ~ sPE(op(op(e4,e1),e1),op(e3,e1))
    | ~ sPE(op(e3,e1),e4)
    | sPE(op(op(e4,e1),e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1168,plain,
    ( ~ sPE(op(e3,e1),op(op(e4,e2),op(e2,e4)))
    | ~ sPE(op(op(e4,e2),op(e2,e4)),e2)
    | sPE(op(e3,e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1169,plain,
    ( ~ sPE(e3,op(e4,e2))
    | ~ sPE(e1,op(e2,e4))
    | sPE(op(e3,e1),op(op(e4,e2),op(e2,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1170,plain,
    ( ~ sPE(op(e1,e0),e3)
    | ~ sPE(e3,op(e3,e0))
    | sPE(op(e1,e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1171,plain,
    ( ~ sPE(op(e0,e0),e3)
    | ~ sPE(e3,op(e3,e0))
    | sPE(op(e0,e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1172,plain,
    ( ~ sPE(op(e4,e1),e3)
    | ~ sPE(e3,op(e3,e0))
    | sPE(op(e4,e1),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1173,plain,
    ( ~ sPE(op(e3,e0),e3)
    | ~ sPE(e3,op(op(e3,e3),op(e3,e3)))
    | sPE(op(e3,e0),op(op(e3,e3),op(e3,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1174,plain,
    ( ~ sPE(op(e3,e0),op(op(e3,e3),op(e3,e3)))
    | ~ sPE(op(op(e3,e3),op(e3,e3)),op(e0,e0))
    | sPE(op(e3,e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1175,plain,
    ( ~ sPE(op(e3,e3),e0)
    | ~ sPE(op(e3,e3),e0)
    | sPE(op(op(e3,e3),op(e3,e3)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1176,plain,
    ( ~ sPE(e1,op(e2,e0))
    | ~ sPE(op(e2,e0),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1177,plain,
    ( ~ sPE(op(e3,e2),e4)
    | ~ sPE(e4,op(e4,e2))
    | sPE(op(e3,e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1178,plain,
    ( ~ sPE(op(e3,e3),e4)
    | ~ sPE(e4,op(e4,e2))
    | sPE(op(e3,e3),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1179,plain,
    ( ~ sPE(op(e3,e3),op(e4,e2))
    | sPE(op(e4,e2),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1180,plain,
    ( ~ sPE(op(e1,e2),e4)
    | ~ sPE(e4,op(e4,e2))
    | sPE(op(e1,e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1181,plain,
    ~ sPE(op(e4,e2),op(e4,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1182,plain,
    ( ~ sPE(op(e0,e1),e0)
    | ~ sPE(e0,op(e1,e1))
    | sPE(op(e0,e1),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1183,plain,
    ~ sPE(op(e0,e1),op(e1,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1184,plain,
    ( ~ sPE(e3,op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1185,plain,
    ( ~ sPE(e4,op(e4,e3))
    | ~ sPE(op(e4,e3),e3)
    | sPE(e4,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1186,plain,
    ( ~ sPE(e4,op(e4,e3))
    | ~ sPE(op(e4,e3),e2)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1187,plain,
    ( ~ sPE(e1,op(e4,e3))
    | ~ sPE(op(e4,e3),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1188,plain,
    ( ~ sPE(e1,op(e4,e3))
    | ~ sPE(op(e4,e3),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1189,plain,
    ~ sPE(op(e1,e1),op(e4,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1190,plain,
    ( ~ sPE(op(op(e0,e4),op(e4,e0)),op(e0,e4))
    | ~ sPE(op(e0,e4),e0)
    | sPE(op(op(e0,e4),op(e4,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1191,plain,
    ( ~ sPE(op(e0,e4),op(op(e0,e4),op(e4,e0)))
    | ~ sPE(op(op(e0,e4),op(e4,e0)),op(e4,e0))
    | sPE(op(e0,e4),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1192,plain,
    ( ~ sPE(op(e0,e4),op(e4,e0))
    | ~ sPE(op(e4,e0),e0)
    | sPE(op(e0,e4),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1193,plain,
    ( ~ sPE(e4,op(e0,e1))
    | ~ sPE(op(e0,e1),e1)
    | sPE(e4,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1194,plain,
    ( ~ sPE(op(e1,e4),e4)
    | ~ sPE(e4,op(e3,e0))
    | sPE(op(e1,e4),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1195,plain,
    ( ~ sPE(op(e1,e4),e4)
    | ~ sPE(e4,op(e1,e1))
    | sPE(op(e1,e4),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1196,plain,
    ( ~ sPE(op(e4,e3),e0)
    | ~ sPE(e0,op(e4,e4))
    | sPE(op(e4,e3),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1197,plain,
    ~ sPE(op(e4,e3),op(e4,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1198,plain,
    ( ~ sPE(op(op(e4,e0),e0),op(e1,e0))
    | ~ sPE(op(e1,e0),e0)
    | sPE(op(op(e4,e0),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1199,plain,
    ( ~ sPE(op(op(e2,e2),e0),op(e1,e0))
    | ~ sPE(op(e1,e0),e0)
    | sPE(op(op(e2,e2),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1200,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e0,e0))
    | sPE(op(e1,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1201,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e1,e2))
    | sPE(op(e1,e1),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1202,plain,
    ( ~ sPE(op(e0,e0),op(e1,e1))
    | sPE(op(e1,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1203,plain,
    ( ~ sPE(e1,op(e0,e0))
    | ~ sPE(op(e0,e0),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1204,plain,
    ( ~ sPE(op(e1,e1),op(e0,e0))
    | ~ sPE(op(e0,e0),e3)
    | sPE(op(e1,e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1205,plain,
    ( ~ sPE(op(e1,e1),op(e0,e0))
    | ~ sPE(op(e0,e0),e1)
    | sPE(op(e1,e1),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1206,plain,
    ( ~ sPE(op(e1,e1),op(e0,e0))
    | ~ sPE(op(e0,e0),e4)
    | sPE(op(e1,e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1207,plain,
    ( ~ sPE(op(e1,e1),op(e0,e0))
    | ~ sPE(op(e0,e0),e2)
    | sPE(op(e1,e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1208,plain,
    ( ~ sPE(op(e1,e1),op(e0,e0))
    | ~ sPE(op(e0,e0),op(e1,e2))
    | sPE(op(e1,e1),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1209,plain,
    ~ sPE(op(e1,e1),op(e1,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1210,plain,
    ( ~ sPE(op(e3,e2),e2)
    | ~ sPE(e2,op(e4,e2))
    | sPE(op(e3,e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1211,plain,
    ( ~ sPE(op(e0,e4),e4)
    | ~ sPE(e4,op(e3,e4))
    | sPE(op(e0,e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1212,plain,
    ( ~ sPE(op(e1,e0),e4)
    | ~ sPE(e4,op(e3,e4))
    | sPE(op(e1,e0),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1213,plain,
    ( ~ sPE(op(e4,e3),e3)
    | ~ sPE(e3,op(e4,e4))
    | sPE(op(e4,e3),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1214,plain,
    ( ~ sPE(e4,op(e4,e4))
    | ~ sPE(op(e4,e4),e1)
    | sPE(e4,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1215,plain,
    ( ~ sPE(op(e4,e2),e2)
    | ~ sPE(e2,op(e4,e3))
    | sPE(op(e4,e2),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1216,plain,
    ( ~ sPE(op(e1,op(e1,e0)),op(e1,e4))
    | ~ sPE(op(e1,e4),e0)
    | sPE(op(e1,op(e1,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1217,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(op(e1,e0),e4)
    | sPE(op(e1,op(e1,e0)),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1218,plain,
    ( ~ sPE(op(e1,op(e1,e0)),op(e1,e2))
    | ~ sPE(op(e1,e2),e0)
    | sPE(op(e1,op(e1,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1219,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(op(e1,e0),e2)
    | sPE(op(e1,op(e1,e0)),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1220,plain,
    ( ~ sPE(op(e1,op(e1,e0)),op(e1,e3))
    | ~ sPE(op(e1,e3),e0)
    | sPE(op(e1,op(e1,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1221,plain,
    ( ~ sPE(op(op(e2,e2),e2),op(e4,e2))
    | ~ sPE(op(e4,e2),e2)
    | sPE(op(op(e2,e2),e2),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1222,plain,
    ( ~ sPE(op(op(e2,e2),e2),op(e2,e2))
    | ~ sPE(op(e2,e2),e2)
    | sPE(op(op(e2,e2),e2),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1223,plain,
    ( ~ sPE(op(op(e1,e3),e3),op(e0,e3))
    | ~ sPE(op(e0,e3),e1)
    | sPE(op(op(e1,e3),e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1224,plain,
    ( ~ sPE(op(e1,e3),e0)
    | ~ sPE(e3,e3)
    | sPE(op(op(e1,e3),e3),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1225,plain,
    ( ~ sPE(op(op(e1,e3),e3),op(e2,e3))
    | ~ sPE(op(e2,e3),e1)
    | sPE(op(op(e1,e3),e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1226,plain,
    ( ~ sPE(op(e1,e3),e2)
    | ~ sPE(e3,e3)
    | sPE(op(op(e1,e3),e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1227,plain,
    ( ~ sPE(op(op(e1,e3),e3),op(e1,e3))
    | ~ sPE(op(e1,e3),e1)
    | sPE(op(op(e1,e3),e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1228,plain,
    ( ~ sPE(op(e1,e3),e1)
    | ~ sPE(e3,e3)
    | sPE(op(op(e1,e3),e3),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1229,plain,
    ( ~ sPE(op(e0,e3),op(op(e0,e1),op(e1,e0)))
    | ~ sPE(op(op(e0,e1),op(e1,e0)),e1)
    | sPE(op(e0,e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1230,plain,
    ( ~ sPE(e0,op(e0,e1))
    | ~ sPE(e3,op(e1,e0))
    | sPE(op(e0,e3),op(op(e0,e1),op(e1,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1231,plain,
    ( ~ sPE(op(op(e1,e3),e3),op(e4,e3))
    | ~ sPE(op(e4,e3),e1)
    | sPE(op(op(e1,e3),e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1232,plain,
    ( ~ sPE(op(e1,e3),e4)
    | ~ sPE(e3,e3)
    | sPE(op(op(e1,e3),e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1233,plain,
    ( ~ sPE(op(op(e1,e1),e1),op(e1,e1))
    | ~ sPE(op(e1,e1),e1)
    | sPE(op(op(e1,e1),e1),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1234,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,e1)
    | sPE(op(op(e1,e1),e1),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1235,plain,
    ( ~ sPE(op(e2,e3),e0)
    | ~ sPE(e0,op(e2,e1))
    | sPE(op(e2,e3),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1236,plain,
    ( ~ sPE(e1,op(e1,e0))
    | ~ sPE(op(e1,e0),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1237,plain,
    ( ~ sPE(e4,op(e1,e0))
    | ~ sPE(op(e1,e0),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1238,plain,
    ( ~ sPE(e4,op(e1,e0))
    | ~ sPE(op(e1,e0),e1)
    | sPE(e4,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1239,plain,
    ( ~ sPE(op(e4,e1),op(e3,e0))
    | sPE(op(e3,e0),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1240,plain,
    ( ~ sPE(op(e3,e0),op(e2,e3))
    | ~ sPE(op(e2,e3),op(e0,e0))
    | sPE(op(e3,e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1241,plain,
    ( ~ sPE(op(e0,op(e1,e1)),e0)
    | sPE(e0,op(e0,op(e1,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1242,plain,
    ( ~ sPE(op(e4,e2),e4)
    | ~ sPE(e4,op(e2,e2))
    | sPE(op(e4,e2),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1243,plain,
    ( ~ sPE(op(e0,e3),e0)
    | ~ sPE(e0,op(e0,e0))
    | sPE(op(e0,e3),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1244,plain,
    ( ~ sPE(op(e0,e3),e0)
    | ~ sPE(e0,op(e3,e3))
    | sPE(op(e0,e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1245,plain,
    ~ sPE(op(e0,e3),op(e3,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1246,plain,
    ( ~ sPE(op(e2,e4),e2)
    | ~ sPE(e4,e4)
    | sPE(op(op(e2,e4),e4),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1247,plain,
    ( ~ sPE(op(op(e2,e4),e4),op(e2,e4))
    | ~ sPE(op(e2,e4),e2)
    | sPE(op(op(e2,e4),e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1248,plain,
    ( ~ sPE(op(op(e2,e4),e0),e0)
    | sPE(e0,op(op(e2,e4),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1249,plain,
    ( ~ sPE(op(e3,e1),e4)
    | ~ sPE(e4,op(e4,e4))
    | sPE(op(e3,e1),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1250,plain,
    ( ~ sPE(op(e0,e3),e4)
    | ~ sPE(e4,op(e4,e4))
    | sPE(op(e0,e3),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1251,plain,
    ( ~ sPE(op(e1,e2),e4)
    | ~ sPE(e4,op(e4,e4))
    | sPE(op(e1,e2),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1252,plain,
    ( ~ sPE(e1,op(e0,e1))
    | ~ sPE(op(e0,e1),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1253,plain,
    ( ~ sPE(e3,op(e0,e2))
    | ~ sPE(op(e0,e2),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1254,plain,
    ( ~ sPE(op(e0,e2),op(e0,e0))
    | sPE(op(e0,e0),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1255,plain,
    ( ~ sPE(e1,op(e0,e2))
    | ~ sPE(op(e0,e2),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1256,plain,
    ( ~ sPE(op(e0,e0),op(e0,op(e0,e2)))
    | ~ sPE(op(e0,op(e0,e2)),e2)
    | sPE(op(e0,e0),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1257,plain,
    ( ~ sPE(e3,op(e1,e2))
    | ~ sPE(op(e1,e2),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1258,plain,
    ~ sPE(op(e2,e2),op(e4,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1259,plain,
    ( ~ sPE(op(e4,e2),op(e2,e2))
    | sPE(op(e2,e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1260,plain,
    ( ~ sPE(op(e2,e2),e0)
    | ~ sPE(e0,op(e4,e2))
    | sPE(op(e2,e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1261,plain,
    ( ~ sPE(op(e1,e4),e4)
    | ~ sPE(e4,op(e2,e4))
    | sPE(op(e1,e4),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1262,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(e2,e4))
    | sPE(op(e4,e4),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1263,plain,
    ( ~ sPE(op(e3,e4),e4)
    | ~ sPE(e4,op(e3,e0))
    | sPE(op(e3,e4),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1264,plain,
    ( ~ sPE(op(e2,e4),e4)
    | ~ sPE(e4,op(e3,e4))
    | sPE(op(e2,e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1265,plain,
    ( ~ sPE(op(e0,e1),e4)
    | ~ sPE(e4,op(e3,e4))
    | sPE(op(e0,e1),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1266,plain,
    ( ~ sPE(op(op(e0,e4),op(e4,e0)),op(e4,e0))
    | ~ sPE(op(e4,e0),e0)
    | sPE(op(op(e0,e4),op(e4,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1267,plain,
    ( ~ sPE(op(e4,op(e4,e1)),op(e4,e3))
    | ~ sPE(op(e4,e3),e1)
    | sPE(op(e4,op(e4,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1268,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(op(e4,e1),e3)
    | sPE(op(e4,op(e4,e1)),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1269,plain,
    ( ~ sPE(op(e3,op(e3,e1)),op(e3,e4))
    | ~ sPE(op(e3,e4),e1)
    | sPE(op(e3,op(e3,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1270,plain,
    ( ~ sPE(op(e3,op(e3,e1)),op(e3,e2))
    | ~ sPE(op(e3,e2),e1)
    | sPE(op(e3,op(e3,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1271,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(op(e3,e1),e2)
    | sPE(op(e3,op(e3,e1)),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1272,plain,
    ( ~ sPE(op(e0,op(e0,e4)),op(e0,e3))
    | ~ sPE(op(e0,e3),e4)
    | sPE(op(e0,op(e0,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1273,plain,
    ( ~ sPE(op(op(e3,e3),e3),op(e2,e3))
    | ~ sPE(op(e2,e3),e3)
    | sPE(op(op(e3,e3),e3),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1274,plain,
    ( ~ sPE(op(e3,e3),e2)
    | ~ sPE(e3,e3)
    | sPE(op(op(e3,e3),e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1275,plain,
    ( ~ sPE(op(op(e2,e3),e3),op(e3,e3))
    | ~ sPE(op(e3,e3),e2)
    | sPE(op(op(e2,e3),e3),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1276,plain,
    ( ~ sPE(op(e2,e3),e3)
    | ~ sPE(e3,e3)
    | sPE(op(op(e2,e3),e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1277,plain,
    ( ~ sPE(op(e0,e0),op(e1,e2))
    | ~ sPE(op(e1,e2),e3)
    | sPE(op(e0,e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1278,plain,
    ( ~ sPE(op(e3,e2),e3)
    | ~ sPE(e3,op(e3,e0))
    | sPE(op(e3,e2),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1279,plain,
    ( ~ sPE(e3,op(e4,e1))
    | ~ sPE(op(e4,e1),e4)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1280,plain,
    ( ~ sPE(e3,op(e1,e2))
    | ~ sPE(op(e1,e2),e1)
    | sPE(e3,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1281,plain,
    ( ~ sPE(op(e2,e1),e4)
    | ~ sPE(e4,op(e4,e2))
    | sPE(op(e2,e1),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1282,plain,
    ( ~ sPE(op(e0,e1),e1)
    | ~ sPE(e1,op(e3,e1))
    | sPE(op(e0,e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1283,plain,
    ( ~ sPE(op(e0,e1),e1)
    | ~ sPE(e1,op(e1,e1))
    | sPE(op(e0,e1),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1284,plain,
    ( ~ sPE(op(e0,e2),e2)
    | ~ sPE(e2,op(op(e1,e2),op(e2,e1)))
    | sPE(op(e0,e2),op(op(e1,e2),op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1285,plain,
    ( ~ sPE(op(op(e1,e2),op(e2,e1)),op(e0,e2))
    | sPE(op(e0,e2),op(op(e1,e2),op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1286,plain,
    ( ~ sPE(op(e0,e2),op(op(e1,e2),op(e2,e1)))
    | ~ sPE(op(op(e1,e2),op(e2,e1)),op(e0,e0))
    | sPE(op(e0,e2),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1287,plain,
    ( ~ sPE(op(e1,e2),e0)
    | ~ sPE(op(e2,e1),e0)
    | sPE(op(op(e1,e2),op(e2,e1)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1288,plain,
    ( ~ sPE(op(e0,e2),op(op(e1,e2),op(e2,e1)))
    | ~ sPE(op(op(e1,e2),op(e2,e1)),e2)
    | sPE(op(e0,e2),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1289,plain,
    ( ~ sPE(op(e0,e3),e3)
    | ~ sPE(e3,op(e2,e3))
    | sPE(op(e0,e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1290,plain,
    ( ~ sPE(op(e1,e3),e3)
    | ~ sPE(e3,op(e2,e3))
    | sPE(op(e1,e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1291,plain,
    ( ~ sPE(op(e2,e0),e3)
    | ~ sPE(e3,op(e2,e3))
    | sPE(op(e2,e0),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1292,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e3,e2))
    | sPE(op(e2,e2),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1293,plain,
    ~ sPE(op(e2,e2),op(e3,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1294,plain,
    ( ~ sPE(e2,e3)
    | ~ sPE(e2,e2)
    | sPE(op(e2,e2),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1295,plain,
    ( ~ sPE(op(e3,e2),op(e2,e2))
    | sPE(op(e2,e2),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1296,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(op(e2,e3),op(e3,e2)),e2)
    | sPE(op(e0,op(op(e2,e3),op(e3,e2))),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1297,plain,
    ( ~ sPE(op(e0,op(op(e2,e3),op(e3,e2))),op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(op(e0,op(op(e2,e3),op(e3,e2))),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1298,plain,
    ( ~ sPE(op(e0,e0),e3)
    | ~ sPE(e3,op(e4,e3))
    | sPE(op(e0,e0),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1299,plain,
    ( ~ sPE(op(e0,op(e0,e1)),op(e0,e4))
    | ~ sPE(op(e0,e4),e1)
    | sPE(op(e0,op(e0,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1300,plain,
    ( ~ sPE(op(e2,op(e2,e4)),op(e2,e1))
    | ~ sPE(op(e2,e1),e4)
    | sPE(op(e2,op(e2,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1301,plain,
    ( ~ sPE(op(e1,op(e1,e4)),op(e1,e2))
    | ~ sPE(op(e1,e2),e4)
    | sPE(op(e1,op(e1,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1302,plain,
    ( ~ sPE(op(e2,e0),e0)
    | ~ sPE(e0,op(e1,e0))
    | sPE(op(e2,e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1303,plain,
    ( ~ sPE(op(op(e2,e2),e2),op(e3,e2))
    | ~ sPE(op(e3,e2),e2)
    | sPE(op(op(e2,e2),e2),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1304,plain,
    ( ~ sPE(e0,op(op(e0,e4),op(e4,e0)))
    | ~ sPE(op(op(e0,e4),op(e4,e0)),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1305,plain,
    ( ~ sPE(op(op(e0,e4),op(e4,e0)),e0)
    | sPE(e0,op(op(e0,e4),op(e4,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1306,plain,
    ( ~ sPE(op(e0,e0),op(op(e0,e4),op(e4,e0)))
    | ~ sPE(op(op(e0,e4),op(e4,e0)),e4)
    | sPE(op(e0,e0),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1307,plain,
    ( ~ sPE(e0,op(e0,e4))
    | ~ sPE(e0,op(e4,e0))
    | sPE(op(e0,e0),op(op(e0,e4),op(e4,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1308,plain,
    ~ sPE(op(e3,e0),op(e3,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1309,plain,
    ( ~ sPE(op(e2,e1),op(e4,e2))
    | sPE(op(e4,e2),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1310,plain,
    ( ~ sPE(e4,op(e2,e1))
    | ~ sPE(op(e2,e1),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1311,plain,
    ( ~ sPE(op(e4,e2),op(e2,e1))
    | ~ sPE(op(e2,e1),e3)
    | sPE(op(e4,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1312,plain,
    ( ~ sPE(op(e2,e4),e2)
    | ~ sPE(e2,op(e4,e3))
    | sPE(op(e2,e4),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1313,plain,
    ( ~ sPE(op(e3,e3),e0)
    | ~ sPE(e0,op(e4,e3))
    | sPE(op(e3,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1314,plain,
    ( ~ sPE(e2,op(e0,e4))
    | ~ sPE(op(e0,e4),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1315,plain,
    ( ~ sPE(op(e0,e3),e3)
    | ~ sPE(e3,op(e4,e3))
    | sPE(op(e0,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1316,plain,
    ( ~ sPE(op(e3,e4),op(e0,e4))
    | sPE(op(e0,e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1317,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e0,e4))
    | sPE(op(e1,e1),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1318,plain,
    ( ~ sPE(op(e4,e3),op(e1,e1))
    | sPE(op(e1,e1),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1319,plain,
    ( ~ sPE(op(e1,e1),op(e4,e3))
    | ~ sPE(op(e4,e3),e2)
    | sPE(op(e1,e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1320,plain,
    ( ~ sPE(op(e4,e3),e1)
    | ~ sPE(e1,op(e1,e1))
    | sPE(op(e4,e3),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1321,plain,
    ( ~ sPE(op(op(e4,e4),e0),op(e3,e0))
    | ~ sPE(op(e3,e0),e0)
    | sPE(op(op(e4,e4),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1322,plain,
    ( ~ sPE(op(e3,e3),op(e2,e3))
    | sPE(op(e2,e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1323,plain,
    ( ~ sPE(e1,op(e4,e0))
    | ~ sPE(op(e4,e0),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1324,plain,
    ( ~ sPE(op(e4,e0),e0)
    | ~ sPE(e0,op(e1,e0))
    | sPE(op(e4,e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1325,plain,
    ( ~ sPE(op(e4,e0),op(e1,e0))
    | sPE(op(e1,e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1326,plain,
    ( ~ sPE(e2,op(e4,e2))
    | ~ sPE(op(e4,e2),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1327,plain,
    ( ~ sPE(op(e4,e4),op(e1,e3))
    | ~ sPE(op(e1,e3),e2)
    | sPE(op(e4,e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1328,plain,
    ( ~ sPE(op(e4,e4),op(e3,e1))
    | ~ sPE(op(e3,e1),e2)
    | sPE(op(e4,e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1329,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(op(e2,e1),e0)
    | sPE(op(e2,op(e2,e1)),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1330,plain,
    ( ~ sPE(op(e2,op(e2,e1)),op(e2,e4))
    | ~ sPE(op(e2,e4),e1)
    | sPE(op(e2,op(e2,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1331,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(op(e2,e1),e4)
    | sPE(op(e2,op(e2,e1)),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1332,plain,
    ( ~ sPE(op(e2,e4),op(e4,e3))
    | ~ sPE(op(e4,e3),e1)
    | sPE(op(e2,e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1333,plain,
    ( ~ sPE(op(e2,e4),op(e0,e3))
    | ~ sPE(op(e0,e3),e1)
    | sPE(op(e2,e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1334,plain,
    ( ~ sPE(op(e0,op(e0,e1)),op(e0,e2))
    | ~ sPE(op(e0,e2),e1)
    | sPE(op(e0,op(e0,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1335,plain,
    ( ~ sPE(op(op(e3,e3),e3),op(e4,e3))
    | ~ sPE(op(e4,e3),e3)
    | sPE(op(op(e3,e3),e3),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1336,plain,
    ( ~ sPE(op(op(e3,e3),e3),op(e3,e3))
    | ~ sPE(op(e3,e3),e3)
    | sPE(op(op(e3,e3),e3),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1337,plain,
    ( ~ sPE(op(op(e1,e1),e0),e0)
    | sPE(e0,op(op(e1,e1),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1338,plain,
    ( ~ sPE(e2,op(e4,e1))
    | ~ sPE(op(e4,e1),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1339,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e0,e0))
    | sPE(op(e2,e2),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1340,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e2,e3))
    | sPE(op(e2,e2),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1341,plain,
    ~ sPE(op(e2,e2),op(e2,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1342,plain,
    ( ~ sPE(op(e1,e4),e0)
    | ~ sPE(e0,op(e3,e4))
    | sPE(op(e1,e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1343,plain,
    ( ~ sPE(e4,op(e0,e3))
    | ~ sPE(op(e0,e3),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1344,plain,
    ( ~ sPE(op(e1,e4),op(e1,e3))
    | sPE(op(e1,e3),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1345,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(e3,e4)
    | sPE(op(e1,e3),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1346,plain,
    ( ~ sPE(op(e1,e3),e0)
    | ~ sPE(e0,op(e1,e4))
    | sPE(op(e1,e3),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1347,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e1,e1),e4)
    | sPE(op(e0,op(e1,e1)),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1348,plain,
    ( ~ sPE(op(e0,op(e1,e1)),op(e0,e4))
    | ~ sPE(op(e0,e4),e0)
    | sPE(op(e0,op(e1,e1)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1349,plain,
    ( ~ sPE(op(e2,e4),e2)
    | ~ sPE(e2,op(e3,e4))
    | sPE(op(e2,e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1350,plain,
    ( ~ sPE(op(e2,e4),e2)
    | ~ sPE(e2,op(e4,e4))
    | sPE(op(e2,e4),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1351,plain,
    ( ~ sPE(op(e2,e4),e2)
    | ~ sPE(e2,op(e2,e3))
    | sPE(op(e2,e4),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1352,plain,
    ( ~ sPE(op(e2,e4),e2)
    | ~ sPE(e2,op(e3,e3))
    | sPE(op(e2,e4),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1353,plain,
    ( ~ sPE(op(e2,e4),op(e3,e3))
    | ~ sPE(op(e3,e3),e1)
    | sPE(op(e2,e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1354,plain,
    ( ~ sPE(op(e2,e4),op(e3,e3))
    | ~ sPE(op(e3,e3),e4)
    | sPE(op(e2,e4),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1355,plain,
    ( ~ sPE(op(e2,e4),op(e3,e3))
    | ~ sPE(op(e3,e3),e2)
    | sPE(op(e2,e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1356,plain,
    ( ~ sPE(op(e2,e4),op(e3,e3))
    | sPE(op(e3,e3),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1357,plain,
    ( ~ sPE(op(e3,e3),op(e2,e4))
    | sPE(op(e2,e4),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1358,plain,
    ( ~ sPE(op(e0,e0),op(e2,e4))
    | ~ sPE(op(e2,e4),op(e3,e3))
    | sPE(op(e0,e0),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1359,plain,
    ( ~ sPE(e2,op(e3,e3))
    | ~ sPE(op(e3,e3),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1360,plain,
    ( ~ sPE(op(e3,e3),e2)
    | ~ sPE(e2,op(e2,e4))
    | sPE(op(e3,e3),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1361,plain,
    ( ~ sPE(e0,op(e0,op(e3,e3)))
    | ~ sPE(op(e0,op(e3,e3)),op(e0,e2))
    | sPE(e0,op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1362,plain,
    ( ~ sPE(e0,op(op(e3,e3),e0))
    | ~ sPE(op(op(e3,e3),e0),op(e2,e0))
    | sPE(e0,op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1363,plain,
    ( ~ sPE(op(e4,e0),e1)
    | ~ sPE(e1,op(e1,e1))
    | sPE(op(e4,e0),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1364,plain,
    ( ~ sPE(op(e1,e1),op(e2,e0))
    | ~ sPE(op(e2,e0),e3)
    | sPE(op(e1,e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1365,plain,
    ( ~ sPE(op(e1,e1),op(e2,e0))
    | ~ sPE(op(e2,e0),e4)
    | sPE(op(e1,e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1366,plain,
    ~ sPE(op(e1,e3),op(e2,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1367,plain,
    ( ~ sPE(e2,op(e3,e4))
    | ~ sPE(op(e3,e4),e4)
    | sPE(e2,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1368,plain,
    ( ~ sPE(e3,op(e3,e4))
    | ~ sPE(op(e3,e4),e4)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1369,plain,
    ( ~ sPE(op(e0,e0),op(op(e3,e4),op(e4,e3)))
    | ~ sPE(op(op(e3,e4),op(e4,e3)),e4)
    | sPE(op(e0,e0),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1370,plain,
    ( ~ sPE(e0,op(e3,e4))
    | ~ sPE(e0,op(e4,e3))
    | sPE(op(e0,e0),op(op(e3,e4),op(e4,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1371,plain,
    ( ~ sPE(op(e3,e4),e4)
    | ~ sPE(e4,op(e0,e1))
    | sPE(op(e3,e4),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1372,plain,
    ( ~ sPE(op(e3,e4),op(e0,e1))
    | ~ sPE(op(e0,e1),e2)
    | sPE(op(e3,e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1373,plain,
    ( ~ sPE(op(e3,e4),op(e0,e1))
    | ~ sPE(op(e0,e1),e4)
    | sPE(op(e3,e4),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1374,plain,
    ( ~ sPE(op(e0,e0),op(e3,e4))
    | ~ sPE(op(e3,e4),op(e0,e1))
    | sPE(op(e0,e0),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1375,plain,
    ( ~ sPE(op(e0,e1),op(e3,e4))
    | sPE(op(e3,e4),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1376,plain,
    ( ~ sPE(e3,op(e4,e2))
    | ~ sPE(op(e4,e2),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1377,plain,
    ( ~ sPE(op(e4,e2),op(e0,e0))
    | sPE(op(e0,e0),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1378,plain,
    ( ~ sPE(e1,op(e4,e2))
    | ~ sPE(op(e4,e2),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1379,plain,
    ( ~ sPE(op(e2,e4),op(e0,e0))
    | ~ sPE(op(e0,e0),e1)
    | sPE(op(e2,e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1380,plain,
    ( ~ sPE(op(e0,op(e0,e2)),op(e0,e1))
    | ~ sPE(op(e0,e1),e2)
    | sPE(op(e0,op(e0,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1381,plain,
    ( ~ sPE(op(e0,op(e0,e2)),op(e0,e3))
    | ~ sPE(op(e0,e3),e2)
    | sPE(op(e0,op(e0,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1382,plain,
    ( ~ sPE(op(e0,op(e0,e2)),op(e0,e4))
    | ~ sPE(op(e0,e4),e2)
    | sPE(op(e0,op(e0,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1383,plain,
    ( ~ sPE(op(e4,e1),op(e0,e0))
    | ~ sPE(op(e0,e0),e4)
    | sPE(op(e4,e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1384,plain,
    ( ~ sPE(op(op(e2,e4),e4),op(e1,e4))
    | ~ sPE(op(e1,e4),e2)
    | sPE(op(op(e2,e4),e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1385,plain,
    ( ~ sPE(op(op(e2,e2),op(e2,e2)),e0)
    | sPE(e0,op(op(e2,e2),op(e2,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1386,plain,
    ( ~ sPE(e0,op(e2,e2))
    | ~ sPE(e0,op(e2,e2))
    | sPE(op(e0,e0),op(op(e2,e2),op(e2,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1387,plain,
    ( ~ sPE(e4,e3)
    | ~ sPE(e4,e4)
    | sPE(op(e4,e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1388,plain,
    ( ~ sPE(op(op(e4,e2),e2),op(e2,e2))
    | ~ sPE(op(e2,e2),e4)
    | sPE(op(op(e4,e2),e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1389,plain,
    ( ~ sPE(op(e0,e0),op(op(e1,e4),op(e4,e1)))
    | ~ sPE(op(op(e1,e4),op(e4,e1)),e4)
    | sPE(op(e0,e0),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1390,plain,
    ( ~ sPE(e0,op(e1,e4))
    | ~ sPE(e0,op(e4,e1))
    | sPE(op(e0,e0),op(op(e1,e4),op(e4,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1391,plain,
    ( ~ sPE(op(op(e4,e2),e2),op(e3,e2))
    | ~ sPE(op(e3,e2),e4)
    | sPE(op(op(e4,e2),e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1392,plain,
    ( ~ sPE(op(op(e4,e2),e2),op(e0,e2))
    | ~ sPE(op(e0,e2),e4)
    | sPE(op(op(e4,e2),e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1393,plain,
    ( ~ sPE(op(op(e4,e2),e2),op(e4,e2))
    | ~ sPE(op(e4,e2),e4)
    | sPE(op(op(e4,e2),e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1394,plain,
    ( ~ sPE(op(e4,e2),e4)
    | ~ sPE(e2,e2)
    | sPE(op(op(e4,e2),e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1395,plain,
    ( ~ sPE(op(e2,e1),e2)
    | ~ sPE(e1,e1)
    | sPE(op(op(e2,e1),e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1396,plain,
    ( ~ sPE(op(e1,e0),op(e0,e0))
    | sPE(op(e0,e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1397,plain,
    ( ~ sPE(e3,op(e1,e0))
    | ~ sPE(op(e1,e0),e1)
    | sPE(e3,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1398,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e0),op(e4,e1))
    | sPE(op(e0,op(e3,e0)),op(e0,op(e4,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1399,plain,
    ( ~ sPE(op(e0,op(e3,e0)),op(e0,op(e4,e1)))
    | ~ sPE(op(e0,op(e4,e1)),e0)
    | sPE(op(e0,op(e3,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1400,plain,
    ( ~ sPE(e0,op(e0,op(e3,e0)))
    | ~ sPE(op(e0,op(e3,e0)),op(e0,op(e4,e1)))
    | sPE(e0,op(e0,op(e4,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1401,plain,
    ( ~ sPE(op(op(e0,e2),op(e2,e0)),op(e0,e2))
    | sPE(op(e0,e2),op(op(e0,e2),op(e2,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1402,plain,
    ( ~ sPE(op(op(e4,e2),op(e2,e4)),op(e4,e2))
    | ~ sPE(op(e4,e2),e4)
    | sPE(op(op(e4,e2),op(e2,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1403,plain,
    ( ~ sPE(op(op(e4,e2),op(e2,e4)),e4)
    | ~ sPE(e0,e0)
    | sPE(op(op(op(e4,e2),op(e2,e4)),e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1404,plain,
    ( ~ sPE(e0,op(op(op(e4,e2),op(e2,e4)),e0))
    | ~ sPE(op(op(op(e4,e2),op(e2,e4)),e0),op(e4,e0))
    | sPE(e0,op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1405,plain,
    ( ~ sPE(op(op(op(e4,e2),op(e2,e4)),e0),op(e4,e0))
    | ~ sPE(op(e4,e0),e0)
    | sPE(op(op(op(e4,e2),op(e2,e4)),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1406,plain,
    ( ~ sPE(op(e1,e3),e1)
    | ~ sPE(e1,op(e2,e3))
    | sPE(op(e1,e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1407,plain,
    ( ~ sPE(op(e1,e3),e0)
    | ~ sPE(e0,op(e2,e3))
    | sPE(op(e1,e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1408,plain,
    ( ~ sPE(op(e2,e3),op(e1,e3))
    | sPE(op(e1,e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1409,plain,
    ( ~ sPE(op(e2,e3),e1)
    | ~ sPE(e1,op(e1,e1))
    | sPE(op(e2,e3),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1410,plain,
    ( ~ sPE(op(e3,e1),e1)
    | ~ sPE(e1,op(e1,e1))
    | sPE(op(e3,e1),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1411,plain,
    ( ~ sPE(op(e0,e0),e1)
    | ~ sPE(e1,op(e1,e1))
    | sPE(op(e0,e0),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1412,plain,
    ( ~ sPE(op(e2,e3),op(e1,e1))
    | ~ sPE(op(e1,e1),op(e2,e4))
    | sPE(op(e2,e3),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1413,plain,
    ~ sPE(op(e2,e3),op(e2,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1414,plain,
    ( ~ sPE(op(e1,e1),op(e2,e3))
    | sPE(op(e2,e3),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1415,plain,
    ( ~ sPE(e1,op(e3,e3))
    | ~ sPE(op(e3,e3),e3)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1416,plain,
    ( ~ sPE(op(e0,e0),op(op(e3,e3),op(e3,e3)))
    | ~ sPE(op(op(e3,e3),op(e3,e3)),e3)
    | sPE(op(e0,e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1417,plain,
    ( ~ sPE(op(op(e2,e3),e3),op(e0,e3))
    | ~ sPE(op(e0,e3),e2)
    | sPE(op(op(e2,e3),e3),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1418,plain,
    ( ~ sPE(op(e2,e3),e0)
    | ~ sPE(e3,e3)
    | sPE(op(op(e2,e3),e3),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1419,plain,
    ( ~ sPE(op(op(e2,e3),e3),op(e4,e3))
    | ~ sPE(op(e4,e3),e2)
    | sPE(op(op(e2,e3),e3),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1420,plain,
    ( ~ sPE(op(e2,e3),e4)
    | ~ sPE(e3,e3)
    | sPE(op(op(e2,e3),e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1421,plain,
    ( ~ sPE(op(op(e2,e3),e3),op(e1,e3))
    | ~ sPE(op(e1,e3),e2)
    | sPE(op(op(e2,e3),e3),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1422,plain,
    ( ~ sPE(op(e2,e3),e1)
    | ~ sPE(e3,e3)
    | sPE(op(op(e2,e3),e3),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1423,plain,
    ( ~ sPE(op(e2,e0),e2)
    | ~ sPE(e2,op(e2,e2))
    | sPE(op(e2,e0),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1424,plain,
    ( ~ sPE(op(e2,e2),op(e2,e0))
    | sPE(op(e2,e0),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1425,plain,
    ~ sPE(op(e2,e0),op(e2,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1426,plain,
    ( ~ sPE(op(op(e1,e2),op(e2,e1)),e2)
    | ~ sPE(op(e0,e1),e0)
    | sPE(op(op(op(e1,e2),op(e2,e1)),op(e0,e1)),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1427,plain,
    ( ~ sPE(op(e1,e0),op(op(op(e1,e2),op(e2,e1)),op(e0,e1)))
    | ~ sPE(op(op(op(e1,e2),op(e2,e1)),op(e0,e1)),op(e2,e0))
    | sPE(op(e1,e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1428,plain,
    ( ~ sPE(e1,op(op(e1,e2),op(e2,e1)))
    | ~ sPE(e0,op(e0,e1))
    | sPE(op(e1,e0),op(op(op(e1,e2),op(e2,e1)),op(e0,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1429,plain,
    ( ~ sPE(op(e1,e4),op(e1,e1))
    | sPE(op(e1,e1),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1430,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e4,e2))
    | sPE(op(e1,e1),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1431,plain,
    ( ~ sPE(op(e1,e1),op(e2,e2))
    | ~ sPE(op(e2,e2),e3)
    | sPE(op(e1,e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1432,plain,
    ( ~ sPE(op(e1,e1),op(e2,e2))
    | ~ sPE(op(e2,e2),e4)
    | sPE(op(e1,e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1433,plain,
    ( ~ sPE(op(op(e2,e3),op(e3,e2)),e3)
    | sPE(e3,op(op(e2,e3),op(e3,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1434,plain,
    ( ~ sPE(op(op(e2,e3),op(e3,e2)),op(e3,e2))
    | sPE(op(e3,e2),op(op(e2,e3),op(e3,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1435,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e2),op(op(e2,e3),op(e3,e2)))
    | sPE(op(e0,op(e3,e2)),op(e0,op(op(e2,e3),op(e3,e2)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1436,plain,
    ( ~ sPE(op(e0,op(e3,e2)),op(e0,op(op(e2,e3),op(e3,e2))))
    | ~ sPE(op(e0,op(op(e2,e3),op(e3,e2))),e0)
    | sPE(op(e0,op(e3,e2)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1437,plain,
    ( ~ sPE(op(e1,e2),e1)
    | ~ sPE(e2,e2)
    | sPE(op(op(e1,e2),e2),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1438,plain,
    ( ~ sPE(op(op(e1,e2),e2),op(e1,e2))
    | ~ sPE(op(e1,e2),e1)
    | sPE(op(op(e1,e2),e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1439,plain,
    ( ~ sPE(op(e0,e2),e4)
    | ~ sPE(e4,op(e4,e2))
    | sPE(op(e0,e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1440,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e0,e4),e2)
    | sPE(op(e0,op(e0,e4)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1441,plain,
    ( ~ sPE(op(e0,e1),e2)
    | ~ sPE(e2,op(e0,e2))
    | sPE(op(e0,e1),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1442,plain,
    ( ~ sPE(op(e3,e0),e2)
    | ~ sPE(e2,op(e0,e2))
    | sPE(op(e3,e0),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1443,plain,
    ( ~ sPE(op(e0,e2),e2)
    | ~ sPE(e2,op(e0,e3))
    | sPE(op(e0,e2),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1444,plain,
    ( ~ sPE(op(e0,e2),e2)
    | ~ sPE(e2,op(e1,e2))
    | sPE(op(e0,e2),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1445,plain,
    ( ~ sPE(op(e0,e2),e2)
    | ~ sPE(e2,op(op(e2,e2),op(e2,e2)))
    | sPE(op(e0,e2),op(op(e2,e2),op(e2,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1446,plain,
    ( ~ sPE(op(e0,e2),op(op(e2,e2),op(e2,e2)))
    | ~ sPE(op(op(e2,e2),op(e2,e2)),op(e0,e0))
    | sPE(op(e0,e2),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1447,plain,
    ( ~ sPE(op(e2,e2),e0)
    | ~ sPE(op(e2,e2),e0)
    | sPE(op(op(e2,e2),op(e2,e2)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1448,plain,
    ( ~ sPE(op(e0,e2),e0)
    | ~ sPE(e0,op(e2,e2))
    | sPE(op(e0,e2),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1449,plain,
    ~ sPE(op(e0,e2),op(e2,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1450,plain,
    ( ~ sPE(op(e0,e3),e1)
    | ~ sPE(e1,op(e1,e1))
    | sPE(op(e0,e3),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1451,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e1,e1),op(e0,e3))
    | sPE(op(e0,op(e1,e1)),op(e0,op(e0,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1452,plain,
    ( ~ sPE(e0,op(e0,op(e1,e1)))
    | ~ sPE(op(e0,op(e1,e1)),op(e0,op(e0,e3)))
    | sPE(e0,op(e0,op(e0,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1453,plain,
    ( ~ sPE(op(e0,e0),op(e1,e1))
    | ~ sPE(op(e1,e1),op(e0,e3))
    | sPE(op(e0,e0),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1454,plain,
    ( ~ sPE(op(e0,e3),op(e1,e1))
    | sPE(op(e1,e1),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1455,plain,
    ( ~ sPE(op(e1,e1),op(e0,e3))
    | ~ sPE(op(e0,e3),e4)
    | sPE(op(e1,e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1456,plain,
    ( ~ sPE(op(e1,e3),e3)
    | ~ sPE(e3,op(op(e2,e3),op(e3,e2)))
    | sPE(op(e1,e3),op(op(e2,e3),op(e3,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1457,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e1,e3),op(op(e2,e3),op(e3,e2)))
    | sPE(op(e0,op(e1,e3)),op(e0,op(op(e2,e3),op(e3,e2)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1458,plain,
    ( ~ sPE(op(e0,op(e1,e3)),op(e0,op(op(e2,e3),op(e3,e2))))
    | ~ sPE(op(e0,op(op(e2,e3),op(e3,e2))),e0)
    | sPE(op(e0,op(e1,e3)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1459,plain,
    ( ~ sPE(op(e2,e3),e0)
    | ~ sPE(op(e3,e2),e0)
    | sPE(op(op(e2,e3),op(e3,e2)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1460,plain,
    ( ~ sPE(e4,op(e3,e1))
    | ~ sPE(op(e3,e1),e1)
    | sPE(e4,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1461,plain,
    ( ~ sPE(op(e3,e4),e4)
    | ~ sPE(e4,op(e2,e4))
    | sPE(op(e3,e4),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1462,plain,
    ( ~ sPE(e4,op(e3,e1))
    | ~ sPE(op(e3,e1),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1463,plain,
    ( ~ sPE(op(e3,e4),op(e3,e1))
    | sPE(op(e3,e1),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1464,plain,
    ~ sPE(op(e3,e1),op(e3,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1465,plain,
    ( ~ sPE(e0,op(e3,e0))
    | ~ sPE(op(e3,e0),e4)
    | sPE(e0,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1466,plain,
    ( ~ sPE(e0,op(e0,e0))
    | ~ sPE(op(e0,e0),op(e0,op(e0,e0)))
    | sPE(e0,op(e0,op(e0,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1467,plain,
    ( ~ sPE(e0,op(e0,e0))
    | ~ sPE(op(e0,e0),op(op(e0,e0),e0))
    | sPE(e0,op(op(e0,e0),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1468,plain,
    ( ~ sPE(e3,op(e0,e0))
    | ~ sPE(op(e0,e0),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1469,plain,
    ( ~ sPE(op(e3,e1),e2)
    | ~ sPE(e2,op(e2,e1))
    | sPE(op(e3,e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1470,plain,
    ( ~ sPE(op(e0,op(e3,e0)),op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(op(e0,op(e3,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1471,plain,
    ( ~ sPE(e4,op(e3,e2))
    | ~ sPE(op(e3,e2),e3)
    | sPE(e4,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1472,plain,
    ( ~ sPE(e1,op(e3,e2))
    | ~ sPE(op(e3,e2),e3)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1473,plain,
    ( ~ sPE(op(e4,e3),e4)
    | ~ sPE(e4,op(e4,e4))
    | sPE(op(e4,e3),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1474,plain,
    ( ~ sPE(op(e0,e1),e3)
    | ~ sPE(e3,op(e3,e4))
    | sPE(op(e0,e1),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1475,plain,
    ( ~ sPE(op(e4,e4),e3)
    | ~ sPE(e3,op(e3,e4))
    | sPE(op(e4,e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1476,plain,
    ( ~ sPE(op(e3,e4),e3)
    | ~ sPE(e3,op(e3,e2))
    | sPE(op(e3,e4),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1477,plain,
    ( ~ sPE(op(e0,e0),e0)
    | ~ sPE(e0,op(e4,e0))
    | sPE(op(e0,e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1478,plain,
    ~ sPE(op(e0,e0),op(e4,e0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1479,plain,
    ( ~ sPE(e2,op(e0,e0))
    | ~ sPE(op(e0,e0),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1480,plain,
    ( ~ sPE(op(e1,e1),e4)
    | ~ sPE(e4,op(e2,e4))
    | sPE(op(e1,e1),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1481,plain,
    ( ~ sPE(op(e1,e0),e4)
    | ~ sPE(e4,op(e2,e4))
    | sPE(op(e1,e0),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1482,plain,
    ( ~ sPE(e4,op(e2,e1))
    | ~ sPE(op(e2,e1),e1)
    | sPE(e4,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1483,plain,
    ( ~ sPE(e0,op(e3,e1))
    | ~ sPE(op(e3,e1),e2)
    | sPE(e0,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1484,plain,
    ( ~ sPE(op(e2,e4),e4)
    | ~ sPE(e4,op(e4,e4))
    | sPE(op(e2,e4),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1485,plain,
    ( ~ sPE(op(op(e3,e4),op(e4,e3)),e4)
    | ~ sPE(e4,op(e4,e4))
    | sPE(op(op(e3,e4),op(e4,e3)),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1486,plain,
    ( ~ sPE(op(op(e3,e4),op(e4,e3)),op(e4,e4))
    | sPE(op(e4,e4),op(op(e3,e4),op(e4,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1487,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(op(e1,e3),e4)
    | sPE(op(e1,op(e1,e3)),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1488,plain,
    ( ~ sPE(op(e1,op(e1,e3)),op(e1,e2))
    | ~ sPE(op(e1,e2),e3)
    | sPE(op(e1,op(e1,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1489,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(op(e1,e3),e2)
    | sPE(op(e1,op(e1,e3)),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1490,plain,
    ( ~ sPE(op(e2,op(e2,e3)),op(e2,e1))
    | ~ sPE(op(e2,e1),e3)
    | sPE(op(e2,op(e2,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1491,plain,
    ( ~ sPE(e0,op(e2,e4))
    | ~ sPE(op(e2,e4),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1492,plain,
    ( ~ sPE(e3,op(e2,e1))
    | ~ sPE(op(e2,e1),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1493,plain,
    ( ~ sPE(e3,op(e2,e1))
    | ~ sPE(op(e2,e1),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1494,plain,
    ( ~ sPE(op(e0,e2),e3)
    | ~ sPE(e3,op(e3,e2))
    | sPE(op(e0,e2),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1495,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(op(e3,e2),op(e2,e3)),e3)
    | sPE(op(e0,op(op(e3,e2),op(e2,e3))),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1496,plain,
    ( ~ sPE(e0,op(e0,op(op(e3,e2),op(e2,e3))))
    | ~ sPE(op(e0,op(op(e3,e2),op(e2,e3))),op(e0,e3))
    | sPE(e0,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1497,plain,
    ( ~ sPE(op(e3,e3),op(e1,e3))
    | sPE(op(e1,e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1498,plain,
    ( ~ sPE(op(e4,e3),e4)
    | ~ sPE(e4,op(e3,e3))
    | sPE(op(e4,e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1499,plain,
    ( ~ sPE(op(e4,e3),e2)
    | ~ sPE(e2,op(e2,e3))
    | sPE(op(e4,e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1500,plain,
    ( ~ sPE(op(e3,e3),e2)
    | ~ sPE(e2,op(e2,e3))
    | sPE(op(e3,e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1501,plain,
    ( ~ sPE(op(e2,e3),e2)
    | ~ sPE(e2,op(e0,e0))
    | sPE(op(e2,e3),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1502,plain,
    ( ~ sPE(op(e2,e3),e2)
    | ~ sPE(e2,op(e4,e1))
    | sPE(op(e2,e3),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1503,plain,
    ( ~ sPE(op(e2,e3),e2)
    | ~ sPE(e2,op(e1,e3))
    | sPE(op(e2,e3),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1504,plain,
    ( ~ sPE(op(e4,e2),op(e2,e3))
    | sPE(op(e2,e3),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1505,plain,
    ( ~ sPE(op(op(e4,e4),e0),e0)
    | sPE(e0,op(op(e4,e4),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1506,plain,
    ( ~ sPE(e4,op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1507,plain,
    ~ sPE(op(e0,e1),op(e0,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1508,plain,
    ( ~ sPE(op(e1,e2),e3)
    | ~ sPE(e3,op(e1,e3))
    | sPE(op(e1,e2),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1509,plain,
    ( ~ sPE(op(e1,e0),e3)
    | ~ sPE(e3,op(e1,e3))
    | sPE(op(e1,e0),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1510,plain,
    ( ~ sPE(op(e2,e0),e0)
    | ~ sPE(e0,op(e2,e2))
    | sPE(op(e2,e0),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1511,plain,
    ( ~ sPE(e0,op(e0,e0))
    | ~ sPE(op(e0,e0),op(e2,e2))
    | sPE(e0,op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1512,plain,
    ( ~ sPE(e4,op(e2,e0))
    | ~ sPE(op(e2,e0),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1513,plain,
    ( ~ sPE(op(e1,e0),e0)
    | ~ sPE(e0,op(e2,e0))
    | sPE(op(e1,e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1514,plain,
    ( ~ sPE(op(e0,op(e4,e4)),e0)
    | sPE(e0,op(e0,op(e4,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1515,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(op(e4,e1),e0)
    | sPE(op(e4,op(e4,e1)),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1516,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(op(e4,e1),e2)
    | sPE(op(e4,op(e4,e1)),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1517,plain,
    ( ~ sPE(op(e4,e2),op(e3,e3))
    | ~ sPE(op(e3,e3),e1)
    | sPE(op(e4,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1518,plain,
    ( ~ sPE(op(e4,e2),op(e2,e0))
    | ~ sPE(op(e2,e0),e1)
    | sPE(op(e4,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1519,plain,
    ( ~ sPE(op(op(e3,e1),e1),op(op(e4,e3),op(e3,e4)))
    | ~ sPE(op(op(e4,e3),op(e3,e4)),e3)
    | sPE(op(op(e3,e1),e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1520,plain,
    ( ~ sPE(op(e3,e1),e0)
    | ~ sPE(e0,op(e4,e3))
    | sPE(op(e3,e1),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1521,plain,
    ( ~ sPE(op(op(e4,e3),op(e3,e4)),op(op(e3,e1),e1))
    | sPE(op(op(e3,e1),e1),op(op(e4,e3),op(e3,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1522,plain,
    ( ~ sPE(op(e4,e3),op(e3,e1))
    | ~ sPE(op(e3,e4),e1)
    | sPE(op(op(e4,e3),op(e3,e4)),op(op(e3,e1),e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1523,plain,
    ~ sPE(op(e0,e0),op(e2,e0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1524,plain,
    ( ~ sPE(op(e3,e1),e0)
    | ~ sPE(e0,op(e3,e3))
    | sPE(op(e3,e1),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1525,plain,
    ~ sPE(op(e3,e1),op(e3,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1526,plain,
    ( ~ sPE(op(e3,e3),op(e1,e1))
    | sPE(op(e1,e1),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1527,plain,
    ( ~ sPE(op(e1,e1),op(e3,e3))
    | ~ sPE(op(e3,e3),e4)
    | sPE(op(e1,e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1528,plain,
    ( ~ sPE(op(e1,e1),op(e3,e3))
    | ~ sPE(op(e3,e3),op(e0,e0))
    | sPE(op(e1,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1529,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e1,e1),op(e3,e3))
    | sPE(op(e0,op(e1,e1)),op(e0,op(e3,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1530,plain,
    ( ~ sPE(e0,op(e0,op(e1,e1)))
    | ~ sPE(op(e0,op(e1,e1)),op(e0,op(e3,e3)))
    | sPE(e0,op(e0,op(e3,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1531,plain,
    ( ~ sPE(op(e3,e2),e3)
    | ~ sPE(e3,op(e2,e2))
    | sPE(op(e3,e2),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1532,plain,
    ( ~ sPE(op(e2,e0),e3)
    | ~ sPE(e3,op(e3,e2))
    | sPE(op(e2,e0),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1533,plain,
    ( ~ sPE(op(e2,e0),op(e3,e2))
    | sPE(op(e3,e2),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1534,plain,
    ( ~ sPE(e3,op(e2,e2))
    | ~ sPE(op(e2,e2),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1535,plain,
    ( ~ sPE(e4,op(e2,e2))
    | ~ sPE(op(e2,e2),e2)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1536,plain,
    ( ~ sPE(op(e4,e2),e0)
    | ~ sPE(e0,op(e4,e3))
    | sPE(op(e4,e2),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1537,plain,
    ~ sPE(op(e4,e2),op(e4,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1538,plain,
    ( ~ sPE(e0,op(e0,op(e3,e3)))
    | ~ sPE(op(e0,op(e3,e3)),op(e0,e3))
    | sPE(e0,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1539,plain,
    ( ~ sPE(op(e0,op(e3,e3)),e0)
    | sPE(e0,op(e0,op(e3,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1540,plain,
    ( ~ sPE(op(e4,e3),e4)
    | ~ sPE(op(e3,e4),e3)
    | sPE(op(op(e4,e3),op(e3,e4)),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1541,plain,
    ( ~ sPE(e3,op(e1,e4))
    | ~ sPE(op(e1,e4),e1)
    | sPE(e3,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1542,plain,
    ( ~ sPE(e2,op(e1,e4))
    | ~ sPE(op(e1,e4),e1)
    | sPE(e2,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1543,plain,
    ( ~ sPE(op(e1,e4),op(e0,e0))
    | sPE(op(e0,e0),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1544,plain,
    ( ~ sPE(op(e1,e0),e1)
    | ~ sPE(e1,op(e1,e4))
    | sPE(op(e1,e0),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1545,plain,
    ( ~ sPE(op(e3,e3),op(e1,e4))
    | sPE(op(e1,e4),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1546,plain,
    ( ~ sPE(op(e0,op(e3,e3)),op(e0,e1))
    | ~ sPE(op(e0,e1),e0)
    | sPE(op(e0,op(e3,e3)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1547,plain,
    ( ~ sPE(op(op(e3,e3),e0),op(e1,e0))
    | ~ sPE(op(e1,e0),e0)
    | sPE(op(op(e3,e3),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1548,plain,
    ( ~ sPE(op(e0,e2),e2)
    | ~ sPE(e2,op(e2,e2))
    | sPE(op(e0,e2),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1549,plain,
    ( ~ sPE(op(e0,e2),e2)
    | ~ sPE(e2,op(e3,e1))
    | sPE(op(e0,e2),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1550,plain,
    ( ~ sPE(e2,op(e3,e0))
    | ~ sPE(op(e3,e0),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1551,plain,
    ( ~ sPE(op(e3,e0),op(e0,e2))
    | sPE(op(e0,e2),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1552,plain,
    ( ~ sPE(op(e0,e2),op(e3,e0))
    | ~ sPE(op(e3,e0),e4)
    | sPE(op(e0,e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1553,plain,
    ( ~ sPE(op(e4,e2),e2)
    | ~ sPE(e2,op(e0,e2))
    | sPE(op(e4,e2),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1554,plain,
    ( ~ sPE(op(e4,e2),op(e0,e2))
    | sPE(op(e0,e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1555,plain,
    ( ~ sPE(op(e1,e3),e3)
    | ~ sPE(e3,op(e4,e3))
    | sPE(op(e1,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1556,plain,
    ( ~ sPE(op(e1,e3),e3)
    | ~ sPE(e3,op(e1,e2))
    | sPE(op(e1,e3),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1557,plain,
    ( ~ sPE(op(e1,e3),op(e0,e2))
    | sPE(op(e0,e2),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1558,plain,
    ( ~ sPE(e4,op(e1,e3))
    | ~ sPE(op(e1,e3),e3)
    | sPE(e4,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1559,plain,
    ( ~ sPE(e2,op(e1,e3))
    | ~ sPE(op(e1,e3),e3)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1560,plain,
    ( ~ sPE(op(e0,e0),e3)
    | ~ sPE(e3,op(e1,e3))
    | sPE(op(e0,e0),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1561,plain,
    ( ~ sPE(op(e0,e0),op(e4,e3))
    | ~ sPE(op(e4,e3),op(e1,e0))
    | sPE(op(e0,e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1562,plain,
    ~ sPE(op(e0,e0),op(e1,e0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1563,plain,
    ( ~ sPE(op(e1,op(e1,e4)),op(e1,e3))
    | ~ sPE(op(e1,e3),e4)
    | sPE(op(e1,op(e1,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1564,plain,
    ( ~ sPE(op(e0,op(e0,e4)),op(e0,e2))
    | ~ sPE(op(e0,e2),e4)
    | sPE(op(e0,op(e0,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1565,plain,
    ( ~ sPE(op(e0,e2),op(e1,e3))
    | ~ sPE(op(e1,e3),e4)
    | sPE(op(e0,e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1566,plain,
    ( ~ sPE(op(e0,e2),op(e3,e1))
    | ~ sPE(op(e3,e1),e4)
    | sPE(op(e0,e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1567,plain,
    ( ~ sPE(op(e0,e2),op(e1,e1))
    | ~ sPE(op(e1,e1),e4)
    | sPE(op(e0,e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1568,plain,
    ( ~ sPE(op(e0,e3),op(e0,e2))
    | sPE(op(e0,e2),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1569,plain,
    ( ~ sPE(op(e2,e1),op(e3,e0))
    | ~ sPE(op(e3,e0),e2)
    | sPE(op(e2,e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1570,plain,
    ( ~ sPE(op(e0,e1),e4)
    | ~ sPE(op(e1,e0),e1)
    | sPE(op(op(e0,e1),op(e1,e0)),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1571,plain,
    ( ~ sPE(op(e2,e0),e2)
    | ~ sPE(e2,op(e2,e1))
    | sPE(op(e2,e0),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1572,plain,
    ( ~ sPE(e2,op(e1,e1))
    | ~ sPE(op(e1,e1),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1573,plain,
    ( ~ sPE(e4,op(e1,e3))
    | ~ sPE(op(e1,e3),e1)
    | sPE(e4,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1574,plain,
    ( ~ sPE(e2,op(e3,e4))
    | ~ sPE(op(e3,e4),e3)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1575,plain,
    ( ~ sPE(op(e2,e4),e3)
    | ~ sPE(e3,op(e2,e3))
    | sPE(op(e2,e4),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1576,plain,
    ( ~ sPE(op(e2,e2),e3)
    | ~ sPE(e3,op(e2,e3))
    | sPE(op(e2,e2),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1577,plain,
    ( ~ sPE(op(e2,e3),e3)
    | ~ sPE(e3,op(e1,e3))
    | sPE(op(e2,e3),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1578,plain,
    ( ~ sPE(op(e4,e1),e1)
    | ~ sPE(e1,op(e2,e1))
    | sPE(op(e4,e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1579,plain,
    ( ~ sPE(op(e2,e1),e1)
    | ~ sPE(e1,op(e0,e2))
    | sPE(op(e2,e1),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1580,plain,
    ( ~ sPE(op(e2,e1),e1)
    | ~ sPE(e1,op(e4,e0))
    | sPE(op(e2,e1),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1581,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e2,e1),op(e4,e0))
    | sPE(op(e0,op(e2,e1)),op(e0,op(e4,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1582,plain,
    ( ~ sPE(e0,op(e0,op(e2,e1)))
    | ~ sPE(op(e0,op(e2,e1)),op(e0,op(e4,e0)))
    | sPE(e0,op(e0,op(e4,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1583,plain,
    ( ~ sPE(op(op(e2,e1),e0),e0)
    | sPE(e0,op(op(e2,e1),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1584,plain,
    ( ~ sPE(op(e3,e3),e2)
    | ~ sPE(e2,op(e4,e2))
    | sPE(op(e3,e3),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1585,plain,
    ( ~ sPE(e2,op(e4,e2))
    | ~ sPE(op(e4,e2),e3)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1586,plain,
    ( ~ sPE(op(op(e3,e2),op(e2,e3)),e2)
    | sPE(e2,op(op(e3,e2),op(e2,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1587,plain,
    ( ~ sPE(op(e4,e4),op(op(e1,e1),op(e1,e1)))
    | ~ sPE(op(op(e1,e1),op(e1,e1)),e1)
    | sPE(op(e4,e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1588,plain,
    ( ~ sPE(e4,op(e1,e1))
    | ~ sPE(e4,op(e1,e1))
    | sPE(op(e4,e4),op(op(e1,e1),op(e1,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1589,plain,
    ( ~ sPE(op(op(e4,e0),e0),op(op(e3,e4),op(e4,e3)))
    | ~ sPE(op(op(e3,e4),op(e4,e3)),e4)
    | sPE(op(op(e4,e0),e0),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1590,plain,
    ( ~ sPE(op(op(e3,e4),op(e4,e3)),op(op(e4,e0),e0))
    | sPE(op(op(e4,e0),e0),op(op(e3,e4),op(e4,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1591,plain,
    ( ~ sPE(op(e3,e4),op(e4,e0))
    | ~ sPE(op(e4,e3),e0)
    | sPE(op(op(e3,e4),op(e4,e3)),op(op(e4,e0),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1592,plain,
    ( ~ sPE(op(op(e2,e4),e4),op(e0,e4))
    | ~ sPE(op(e0,e4),e2)
    | sPE(op(op(e2,e4),e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1593,plain,
    ( ~ sPE(op(e2,e4),e0)
    | ~ sPE(e4,e4)
    | sPE(op(op(e2,e4),e4),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1594,plain,
    ( ~ sPE(op(e0,op(e1,e0)),e0)
    | sPE(e0,op(e0,op(e1,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1595,plain,
    ( ~ sPE(op(e0,op(e1,e1)),op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(op(e0,op(e1,e1)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1596,plain,
    ( ~ sPE(e0,op(e0,op(e1,e1)))
    | ~ sPE(op(e0,op(e1,e1)),op(e0,e2))
    | sPE(e0,op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1597,plain,
    ( ~ sPE(e0,op(op(e1,e1),e0))
    | ~ sPE(op(op(e1,e1),e0),op(e2,e0))
    | sPE(e0,op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1598,plain,
    ( ~ sPE(op(op(e1,e1),e0),op(e2,e0))
    | ~ sPE(op(e2,e0),e0)
    | sPE(op(op(e1,e1),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1599,plain,
    ( ~ sPE(op(e4,e1),op(op(e4,e1),op(e1,e4)))
    | ~ sPE(op(op(e4,e1),op(e1,e4)),e1)
    | sPE(op(e4,e1),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1600,plain,
    ( ~ sPE(e4,op(e4,e1))
    | ~ sPE(e1,op(e1,e4))
    | sPE(op(e4,e1),op(op(e4,e1),op(e1,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1601,plain,
    ( ~ sPE(op(e3,e1),e0)
    | ~ sPE(e0,op(e3,e4))
    | sPE(op(e3,e1),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1602,plain,
    ( ~ sPE(op(e2,e0),e2)
    | ~ sPE(e2,op(e2,e3))
    | sPE(op(e2,e0),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1603,plain,
    ( ~ sPE(op(e0,e3),e2)
    | ~ sPE(e2,op(e2,e3))
    | sPE(op(e0,e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1604,plain,
    ( ~ sPE(op(e1,e1),e2)
    | ~ sPE(e2,op(e2,e3))
    | sPE(op(e1,e1),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1605,plain,
    ( ~ sPE(op(e1,e4),e1)
    | ~ sPE(e1,op(e2,e4))
    | sPE(op(e1,e4),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1606,plain,
    ( ~ sPE(op(e1,e4),op(e3,e3))
    | ~ sPE(op(e3,e3),e2)
    | sPE(op(e1,e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1607,plain,
    ( ~ sPE(op(e1,e4),op(e3,e3))
    | ~ sPE(op(e3,e3),e1)
    | sPE(op(e1,e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1608,plain,
    ( ~ sPE(op(e1,e4),op(e3,e3))
    | sPE(op(e3,e3),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1609,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e1,e4),op(e3,e3))
    | sPE(op(e0,op(e1,e4)),op(e0,op(e3,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1610,plain,
    ( ~ sPE(e0,op(e0,op(e1,e4)))
    | ~ sPE(op(e0,op(e1,e4)),op(e0,op(e3,e3)))
    | sPE(e0,op(e0,op(e3,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1611,plain,
    ( ~ sPE(op(e3,e2),e4)
    | ~ sPE(e4,op(e4,e4))
    | sPE(op(e3,e2),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1612,plain,
    ( ~ sPE(op(e2,e2),e4)
    | ~ sPE(e4,op(e4,e4))
    | sPE(op(e2,e2),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1613,plain,
    ( ~ sPE(op(e2,e2),op(e4,e4))
    | sPE(op(e4,e4),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1614,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(e0,e0))
    | sPE(op(e4,e4),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1615,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(e3,e2))
    | sPE(op(e4,e4),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1616,plain,
    ( ~ sPE(op(e4,e4),op(e3,e4))
    | sPE(op(e3,e4),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1617,plain,
    ~ sPE(op(e3,e4),op(e4,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1618,plain,
    ~ sPE(op(e0,e2),op(e3,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1619,plain,
    ( ~ sPE(e3,op(e1,e0))
    | ~ sPE(op(e1,e0),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1620,plain,
    ( ~ sPE(e2,op(e4,e1))
    | ~ sPE(op(e4,e1),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1621,plain,
    ( ~ sPE(op(e4,e1),op(e1,e2))
    | sPE(op(e1,e2),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1622,plain,
    ( ~ sPE(op(e2,e1),op(op(e4,e2),op(e2,e4)))
    | ~ sPE(op(op(e4,e2),op(e2,e4)),e2)
    | sPE(op(e2,e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1623,plain,
    ( ~ sPE(e2,op(e4,e2))
    | ~ sPE(e1,op(e2,e4))
    | sPE(op(e2,e1),op(op(e4,e2),op(e2,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1624,plain,
    ( ~ sPE(op(e0,e0),e4)
    | ~ sPE(op(e3,e0),e0)
    | sPE(op(op(e0,e0),op(e3,e0)),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1625,plain,
    ( ~ sPE(op(e2,e0),op(op(e0,e0),op(e3,e0)))
    | ~ sPE(op(op(e0,e0),op(e3,e0)),op(e4,e0))
    | sPE(op(e2,e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1626,plain,
    ( ~ sPE(e2,op(e0,e0))
    | ~ sPE(e0,op(e3,e0))
    | sPE(op(e2,e0),op(op(e0,e0),op(e3,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1627,plain,
    ( ~ sPE(op(e0,e3),e4)
    | ~ sPE(op(e3,e0),e0)
    | sPE(op(op(e0,e3),op(e3,e0)),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1628,plain,
    ( ~ sPE(op(e2,e0),op(op(e0,e3),op(e3,e0)))
    | ~ sPE(op(op(e0,e3),op(e3,e0)),op(e4,e0))
    | sPE(op(e2,e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1629,plain,
    ( ~ sPE(e2,op(e0,e3))
    | ~ sPE(e0,op(e3,e0))
    | sPE(op(e2,e0),op(op(e0,e3),op(e3,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1630,plain,
    ( ~ sPE(op(e1,e1),e0)
    | ~ sPE(e0,op(e1,e4))
    | sPE(op(e1,e1),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1631,plain,
    ~ sPE(op(e1,e1),op(e1,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1632,plain,
    ( ~ sPE(op(e4,e0),op(e0,e0))
    | sPE(op(e0,e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1633,plain,
    ( ~ sPE(e2,op(e4,e0))
    | ~ sPE(op(e4,e0),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1634,plain,
    ( ~ sPE(op(e4,e3),op(e2,e3))
    | sPE(op(e2,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1635,plain,
    ~ sPE(op(e2,e3),op(e4,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1636,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(e2,e0))
    | sPE(op(e4,e4),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1637,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(e0,e2))
    | sPE(op(e4,e4),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1638,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(e0,e3))
    | sPE(op(e4,e4),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1639,plain,
    ( ~ sPE(e0,op(e0,op(e4,e4)))
    | ~ sPE(op(e0,op(e4,e4)),op(e0,op(e3,e2)))
    | sPE(e0,op(e0,op(e3,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1640,plain,
    ( ~ sPE(op(e3,e2),op(e4,e4))
    | sPE(op(e4,e4),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1641,plain,
    ( ~ sPE(op(e4,e4),op(e3,e2))
    | ~ sPE(op(e3,e2),e1)
    | sPE(op(e4,e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1642,plain,
    ( ~ sPE(op(e2,op(e2,e3)),op(e2,e4))
    | ~ sPE(op(e2,e4),e3)
    | sPE(op(e2,op(e2,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1643,plain,
    ( ~ sPE(op(e3,e1),op(e0,e0))
    | sPE(op(e0,e0),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1644,plain,
    ( ~ sPE(e1,op(e1,e0))
    | ~ sPE(op(e1,e0),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1645,plain,
    ( ~ sPE(e2,op(e3,e1))
    | ~ sPE(op(e3,e1),e3)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1646,plain,
    ( ~ sPE(e4,op(e3,e1))
    | ~ sPE(op(e3,e1),e3)
    | sPE(e4,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1647,plain,
    ( ~ sPE(op(e3,e1),e3)
    | ~ sPE(e3,op(op(e2,e3),op(e3,e2)))
    | sPE(op(e3,e1),op(op(e2,e3),op(e3,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1648,plain,
    ( ~ sPE(op(e3,e1),op(op(e2,e3),op(e3,e2)))
    | ~ sPE(op(op(e2,e3),op(e3,e2)),op(e0,e0))
    | sPE(op(e3,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1649,plain,
    ( ~ sPE(op(e3,e4),op(e3,e0))
    | ~ sPE(op(e3,e0),e2)
    | sPE(op(e3,e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1650,plain,
    ( ~ sPE(e1,op(e4,e2))
    | ~ sPE(op(e4,e2),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1651,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(e1,e3))
    | sPE(op(e4,e4),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1652,plain,
    ( ~ sPE(e1,op(e0,e4))
    | ~ sPE(op(e0,e4),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1653,plain,
    ~ sPE(op(e3,e2),op(e3,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1654,plain,
    ( ~ sPE(op(e0,e0),e3)
    | ~ sPE(e3,op(e0,e3))
    | sPE(op(e0,e0),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1655,plain,
    ( ~ sPE(op(e1,e1),e3)
    | ~ sPE(e3,op(e0,e3))
    | sPE(op(e1,e1),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1656,plain,
    ( ~ sPE(op(e0,e3),e3)
    | ~ sPE(e3,op(e4,e2))
    | sPE(op(e0,e3),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1657,plain,
    ( ~ sPE(op(e0,e3),op(e4,e2))
    | ~ sPE(op(e4,e2),e1)
    | sPE(op(e0,e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1658,plain,
    ( ~ sPE(e4,op(e1,e3))
    | ~ sPE(op(e1,e3),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1659,plain,
    ( ~ sPE(op(e2,e1),e2)
    | ~ sPE(e2,op(e2,e2))
    | sPE(op(e2,e1),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1660,plain,
    ( ~ sPE(op(e2,e1),e1)
    | ~ sPE(e1,op(e2,e0))
    | sPE(op(e2,e1),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1661,plain,
    ( ~ sPE(op(e2,e1),e1)
    | ~ sPE(e1,op(e3,e0))
    | sPE(op(e2,e1),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1662,plain,
    ( ~ sPE(op(e2,e1),op(e3,e3))
    | ~ sPE(op(e3,e3),e1)
    | sPE(op(e2,e1),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1663,plain,
    ( ~ sPE(op(e3,e3),op(e2,e1))
    | sPE(op(e2,e1),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1664,plain,
    ( ~ sPE(op(e3,e1),e1)
    | ~ sPE(e1,op(e3,e4))
    | sPE(op(e3,e1),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1665,plain,
    ( ~ sPE(op(e3,e1),e1)
    | ~ sPE(e1,op(e3,e3))
    | sPE(op(e3,e1),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1666,plain,
    ( ~ sPE(op(e4,e2),e0)
    | ~ sPE(e2,e2)
    | sPE(op(op(e4,e2),e2),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1667,plain,
    ( ~ sPE(op(e4,e2),e3)
    | ~ sPE(e2,e2)
    | sPE(op(op(e4,e2),e2),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1668,plain,
    ( ~ sPE(op(e4,e2),e2)
    | ~ sPE(e2,e2)
    | sPE(op(op(e4,e2),e2),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1669,plain,
    ( ~ sPE(op(e4,e2),e1)
    | ~ sPE(e2,e2)
    | sPE(op(op(e4,e2),e2),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1670,plain,
    ~ sPE(op(e2,e0),op(e2,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1671,plain,
    ( ~ sPE(op(e1,e2),e3)
    | ~ sPE(e3,op(e3,e2))
    | sPE(op(e1,e2),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1672,plain,
    ( ~ sPE(op(e4,e4),e3)
    | ~ sPE(e3,op(e3,e2))
    | sPE(op(e4,e4),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1673,plain,
    ( ~ sPE(e3,op(e4,e0))
    | ~ sPE(op(e4,e0),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1674,plain,
    ( ~ sPE(op(op(e4,e0),e0),op(e3,e0))
    | ~ sPE(op(e3,e0),e0)
    | sPE(op(op(e4,e0),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1675,plain,
    ( ~ sPE(e0,op(e0,op(e4,e0)))
    | ~ sPE(op(e0,op(e4,e0)),op(e0,e3))
    | sPE(e0,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1676,plain,
    ( ~ sPE(op(e1,e3),e1)
    | ~ sPE(e1,op(e2,e1))
    | sPE(op(e1,e3),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1677,plain,
    ( ~ sPE(op(e1,e3),op(e2,e1))
    | sPE(op(e2,e1),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1678,plain,
    ( ~ sPE(op(e2,e1),op(e1,e3))
    | sPE(op(e1,e3),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1679,plain,
    ~ sPE(op(e0,e1),op(e2,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1680,plain,
    ( ~ sPE(op(e0,e3),e3)
    | ~ sPE(e3,op(e0,e4))
    | sPE(op(e0,e3),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1681,plain,
    ( ~ sPE(op(e0,e3),e3)
    | ~ sPE(e3,op(e0,e2))
    | sPE(op(e0,e3),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1682,plain,
    ( ~ sPE(e3,op(e1,e1))
    | ~ sPE(op(e1,e1),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1683,plain,
    ( ~ sPE(op(e1,e2),e2)
    | ~ sPE(e2,op(e1,e1))
    | sPE(op(e1,e2),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1684,plain,
    ( ~ sPE(op(e1,e2),op(e4,e1))
    | ~ sPE(op(e4,e1),op(e0,e0))
    | sPE(op(e1,e2),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1685,plain,
    ( ~ sPE(op(e2,e4),e4)
    | ~ sPE(e4,op(e0,e0))
    | sPE(op(e2,e4),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1686,plain,
    ( ~ sPE(e4,op(e2,e4))
    | ~ sPE(op(e2,e4),e3)
    | sPE(e4,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1687,plain,
    ( ~ sPE(op(op(e1,e2),op(e2,e1)),op(e2,e1))
    | sPE(op(e2,e1),op(op(e1,e2),op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1688,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(op(e1,e2),op(e2,e1)),e1)
    | sPE(op(e0,op(op(e1,e2),op(e2,e1))),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1689,plain,
    ( ~ sPE(op(e0,op(op(e1,e2),op(e2,e1))),op(e0,e1))
    | ~ sPE(op(e0,e1),e0)
    | sPE(op(e0,op(op(e1,e2),op(e2,e1))),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1690,plain,
    ( ~ sPE(e0,op(e0,op(op(e1,e2),op(e2,e1))))
    | ~ sPE(op(e0,op(op(e1,e2),op(e2,e1))),op(e0,e1))
    | sPE(e0,op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1691,plain,
    ( ~ sPE(op(op(e1,e2),op(e2,e1)),e1)
    | ~ sPE(e0,e0)
    | sPE(op(op(op(e1,e2),op(e2,e1)),e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1692,plain,
    ( ~ sPE(op(op(op(e1,e2),op(e2,e1)),e0),op(e1,e0))
    | ~ sPE(op(e1,e0),e0)
    | sPE(op(op(op(e1,e2),op(e2,e1)),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1693,plain,
    ( ~ sPE(e0,op(op(op(e1,e2),op(e2,e1)),e0))
    | ~ sPE(op(op(op(e1,e2),op(e2,e1)),e0),op(e1,e0))
    | sPE(e0,op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1694,plain,
    ( ~ sPE(op(op(e1,e2),op(e2,e1)),e1)
    | sPE(e1,op(op(e1,e2),op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1695,plain,
    ~ sPE(op(e1,e2),op(e1,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1696,plain,
    ( ~ sPE(op(e2,op(e2,e1)),op(e2,e3))
    | ~ sPE(op(e2,e3),e1)
    | sPE(op(e2,op(e2,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1697,plain,
    ( ~ sPE(op(e3,op(e3,e1)),op(e3,e0))
    | ~ sPE(op(e3,e0),e1)
    | sPE(op(e3,op(e3,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1698,plain,
    ( ~ sPE(e1,op(e4,e4))
    | ~ sPE(op(e4,e4),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1699,plain,
    ( ~ sPE(e1,op(e1,e3))
    | ~ sPE(op(e1,e3),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1700,plain,
    ( ~ sPE(e1,op(e0,e3))
    | ~ sPE(op(e0,e3),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1701,plain,
    ( ~ sPE(op(e1,e4),e2)
    | ~ sPE(e4,e4)
    | sPE(op(op(e1,e4),e4),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1702,plain,
    ( ~ sPE(op(e1,e4),e4)
    | ~ sPE(e4,e4)
    | sPE(op(op(e1,e4),e4),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1703,plain,
    ( ~ sPE(op(e2,e3),op(e3,e1))
    | sPE(op(e3,e1),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1704,plain,
    ( ~ sPE(op(e2,e1),e2)
    | ~ sPE(e2,op(e2,e4))
    | sPE(op(e2,e1),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1705,plain,
    ( ~ sPE(op(e2,e1),e2)
    | ~ sPE(e2,op(e2,e0))
    | sPE(op(e2,e1),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1706,plain,
    ( ~ sPE(op(e2,e1),e0)
    | ~ sPE(e0,op(e3,e1))
    | sPE(op(e2,e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1707,plain,
    ( ~ sPE(op(e1,e1),e0)
    | ~ sPE(e0,op(e1,e2))
    | sPE(op(e1,e1),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1708,plain,
    ( ~ sPE(e1,op(e1,e3))
    | ~ sPE(op(e1,e3),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1709,plain,
    ( ~ sPE(op(e3,e3),e1)
    | ~ sPE(e1,op(e1,e3))
    | sPE(op(e3,e3),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1710,plain,
    ( ~ sPE(op(e2,e0),e4)
    | ~ sPE(e4,op(e4,e4))
    | sPE(op(e2,e0),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1711,plain,
    ( ~ sPE(op(e0,e0),e4)
    | ~ sPE(e4,op(e4,e4))
    | sPE(op(e0,e0),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1712,plain,
    ( ~ sPE(op(e0,e3),op(e4,e4))
    | sPE(op(e4,e4),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1713,plain,
    ( ~ sPE(e1,op(e0,e1))
    | ~ sPE(op(e0,e1),e2)
    | sPE(e1,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1714,plain,
    ( ~ sPE(op(e0,e1),e1)
    | ~ sPE(e1,op(e0,e0))
    | sPE(op(e0,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1715,plain,
    ( ~ sPE(op(e0,e1),e1)
    | ~ sPE(e1,op(e3,e3))
    | sPE(op(e0,e1),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1716,plain,
    ( ~ sPE(op(e0,e1),op(e3,e3))
    | ~ sPE(op(e3,e3),op(e0,e0))
    | sPE(op(e0,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1717,plain,
    ( ~ sPE(op(e0,e1),op(e3,e3))
    | ~ sPE(op(e3,e3),e4)
    | sPE(op(e0,e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1718,plain,
    ( ~ sPE(op(e0,e3),e3)
    | ~ sPE(e3,op(e1,e3))
    | sPE(op(e0,e3),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1719,plain,
    ( ~ sPE(op(e0,e0),op(e3,e4))
    | ~ sPE(op(e3,e4),op(e1,e1))
    | sPE(op(e0,e0),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1720,plain,
    ( ~ sPE(op(e4,e0),e1)
    | ~ sPE(e1,op(e4,e1))
    | sPE(op(e4,e0),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1721,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(e1,e4))
    | sPE(op(e4,e4),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1722,plain,
    ( ~ sPE(e0,op(e0,e2))
    | ~ sPE(op(e0,e2),op(e0,op(e2,e1)))
    | sPE(e0,op(e0,op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1723,plain,
    ( ~ sPE(op(e3,e3),e2)
    | ~ sPE(e2,op(e2,e1))
    | sPE(op(e3,e3),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1724,plain,
    ( ~ sPE(op(e1,e1),e2)
    | ~ sPE(e2,op(e2,e1))
    | sPE(op(e1,e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1725,plain,
    ( ~ sPE(op(op(e4,e2),op(e2,e4)),op(e2,e1))
    | ~ sPE(op(e2,e1),e0)
    | sPE(op(op(e4,e2),op(e2,e4)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1726,plain,
    ( ~ sPE(e0,op(e2,e0))
    | ~ sPE(op(e2,e0),op(op(e2,e1),e0))
    | sPE(e0,op(op(e2,e1),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1727,plain,
    ( ~ sPE(op(e2,e0),op(op(e2,e1),e0))
    | ~ sPE(op(op(e2,e1),e0),e0)
    | sPE(op(e2,e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1728,plain,
    ( ~ sPE(e3,op(e4,e2))
    | ~ sPE(op(e4,e2),e4)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1729,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e1,e1))
    | sPE(op(e3,e3),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1730,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e4,e2))
    | sPE(op(e3,e3),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1731,plain,
    ( ~ sPE(op(e3,e3),op(e0,e1))
    | ~ sPE(op(e0,e1),e4)
    | sPE(op(e3,e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1732,plain,
    ( ~ sPE(op(e1,e0),e3)
    | ~ sPE(e3,op(e3,e3))
    | sPE(op(e1,e0),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1733,plain,
    ( ~ sPE(e4,op(e0,e0))
    | ~ sPE(op(e0,e0),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1734,plain,
    ( ~ sPE(op(e3,e0),op(e0,op(e0,e0)))
    | ~ sPE(op(e0,op(e0,e0)),op(e4,e0))
    | sPE(op(e3,e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1735,plain,
    ( ~ sPE(op(e3,e0),e0)
    | ~ sPE(e0,op(e0,op(e0,e0)))
    | sPE(op(e3,e0),op(e0,op(e0,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1736,plain,
    ( ~ sPE(op(e1,e0),e0)
    | ~ sPE(e0,op(e1,e4))
    | sPE(op(e1,e0),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1737,plain,
    ( ~ sPE(op(e1,e3),e3)
    | ~ sPE(e3,op(e1,e4))
    | sPE(op(e1,e3),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1738,plain,
    ( ~ sPE(op(e1,e4),e4)
    | ~ sPE(e4,op(e3,e2))
    | sPE(op(e1,e4),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1739,plain,
    ( ~ sPE(e4,op(e2,e3))
    | ~ sPE(op(e2,e3),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1740,plain,
    ( ~ sPE(e3,op(e1,e4))
    | ~ sPE(op(e1,e4),e4)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1741,plain,
    ( ~ sPE(op(op(e4,e1),op(e1,e4)),op(e1,e4))
    | ~ sPE(op(e1,e4),e4)
    | sPE(op(op(e4,e1),op(e1,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1742,plain,
    ( ~ sPE(op(e4,e1),e1)
    | ~ sPE(op(e1,e4),e4)
    | sPE(op(op(e4,e1),op(e1,e4)),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1743,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(op(e4,e1),op(e1,e4)),e4)
    | sPE(op(e0,op(op(e4,e1),op(e1,e4))),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1744,plain,
    ( ~ sPE(op(e0,op(op(e4,e1),op(e1,e4))),op(e0,e4))
    | ~ sPE(op(e0,e4),e0)
    | sPE(op(e0,op(op(e4,e1),op(e1,e4))),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1745,plain,
    ( ~ sPE(e0,op(e0,op(op(e4,e1),op(e1,e4))))
    | ~ sPE(op(e0,op(op(e4,e1),op(e1,e4))),op(e0,e4))
    | sPE(e0,op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1746,plain,
    ~ sPE(op(e3,e0),op(e3,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1747,plain,
    ( ~ sPE(op(e2,e0),e0)
    | ~ sPE(e0,op(e0,e0))
    | sPE(op(e2,e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1748,plain,
    ( ~ sPE(op(e0,op(e0,e4)),op(e0,e1))
    | ~ sPE(op(e0,e1),e4)
    | sPE(op(e0,op(e0,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1749,plain,
    ( ~ sPE(op(e2,op(e2,e4)),op(e2,e0))
    | ~ sPE(op(e2,e0),e4)
    | sPE(op(e2,op(e2,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1750,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(op(e2,e4),e0)
    | sPE(op(e2,op(e2,e4)),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1751,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(op(e2,e4),e1)
    | sPE(op(e2,op(e2,e4)),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1752,plain,
    ( ~ sPE(op(e1,e3),op(e0,e0))
    | ~ sPE(op(e0,e0),e1)
    | sPE(op(e1,e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1753,plain,
    ( ~ sPE(op(op(e1,e2),e2),op(e0,e2))
    | ~ sPE(op(e0,e2),e1)
    | sPE(op(op(e1,e2),e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1754,plain,
    ( ~ sPE(op(e1,e2),e0)
    | ~ sPE(e2,e2)
    | sPE(op(op(e1,e2),e2),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1755,plain,
    ( ~ sPE(op(op(e1,e2),e2),op(e3,e2))
    | ~ sPE(op(e3,e2),e1)
    | sPE(op(op(e1,e2),e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1756,plain,
    ( ~ sPE(op(e1,e2),e3)
    | ~ sPE(e2,e2)
    | sPE(op(op(e1,e2),e2),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1757,plain,
    ( ~ sPE(op(op(e1,e2),e2),op(e4,e2))
    | ~ sPE(op(e4,e2),e1)
    | sPE(op(op(e1,e2),e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1758,plain,
    ( ~ sPE(op(e1,e2),e4)
    | ~ sPE(e2,e2)
    | sPE(op(op(e1,e2),e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1759,plain,
    ( ~ sPE(e2,op(e1,e3))
    | ~ sPE(op(e1,e3),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1760,plain,
    ( ~ sPE(e0,op(e0,op(e4,e4)))
    | ~ sPE(op(e0,op(e4,e4)),op(e0,e3))
    | sPE(e0,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1761,plain,
    ( ~ sPE(op(e0,e4),e0)
    | ~ sPE(e0,op(e4,e4))
    | sPE(op(e0,e4),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1762,plain,
    ~ sPE(op(e0,e4),op(e4,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1763,plain,
    ( ~ sPE(e2,op(e3,e4))
    | ~ sPE(op(e3,e4),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1764,plain,
    ( ~ sPE(op(e0,e2),e2)
    | ~ sPE(e2,op(e1,e1))
    | sPE(op(e0,e2),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1765,plain,
    ( ~ sPE(op(e1,e4),op(e3,e2))
    | ~ sPE(op(e3,e2),e1)
    | sPE(op(e1,e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1766,plain,
    ( ~ sPE(op(e1,e4),e0)
    | ~ sPE(e0,op(e3,e2))
    | sPE(op(e1,e4),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1767,plain,
    ( ~ sPE(e4,op(e1,e4))
    | ~ sPE(op(e1,e4),e2)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1768,plain,
    ( ~ sPE(op(e2,e4),e4)
    | ~ sPE(e4,op(e3,e3))
    | sPE(op(e2,e4),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1769,plain,
    ( ~ sPE(op(e0,e4),e3)
    | ~ sPE(e3,op(e3,e3))
    | sPE(op(e0,e4),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1770,plain,
    ( ~ sPE(e1,op(e2,e4))
    | ~ sPE(op(e2,e4),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1771,plain,
    ( ~ sPE(op(e4,e1),e0)
    | ~ sPE(e0,op(e4,e2))
    | sPE(op(e4,e1),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1772,plain,
    ( ~ sPE(op(e4,e2),op(e4,e1))
    | sPE(op(e4,e1),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1773,plain,
    ( ~ sPE(e1,op(e0,e3))
    | ~ sPE(op(e0,e3),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1774,plain,
    ( ~ sPE(op(e3,op(e3,e4)),op(e3,e2))
    | ~ sPE(op(e3,e2),e4)
    | sPE(op(e3,op(e3,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1775,plain,
    ( ~ sPE(op(e3,op(e3,e4)),op(e3,e1))
    | ~ sPE(op(e3,e1),e4)
    | sPE(op(e3,op(e3,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1776,plain,
    ( ~ sPE(op(op(e3,e1),e1),op(e1,e1))
    | ~ sPE(op(e1,e1),e3)
    | sPE(op(op(e3,e1),e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1777,plain,
    ( ~ sPE(op(e3,e1),e1)
    | ~ sPE(e1,e1)
    | sPE(op(op(e3,e1),e1),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1778,plain,
    ( ~ sPE(e3,op(e0,e0))
    | ~ sPE(op(e0,e0),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1779,plain,
    ( ~ sPE(e3,op(e1,e1))
    | ~ sPE(op(e1,e1),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1780,plain,
    ( ~ sPE(op(e0,e0),e1)
    | ~ sPE(e1,op(e1,e0))
    | sPE(op(e0,e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1781,plain,
    ( ~ sPE(op(e1,e0),op(op(e3,e1),op(e1,e3)))
    | ~ sPE(op(op(e3,e1),op(e1,e3)),op(e0,e0))
    | sPE(op(e1,e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1782,plain,
    ( ~ sPE(op(e3,e1),e0)
    | ~ sPE(op(e1,e3),e0)
    | sPE(op(op(e3,e1),op(e1,e3)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1783,plain,
    ( ~ sPE(op(e2,e1),op(op(e4,e2),op(e2,e4)))
    | sPE(op(op(e4,e2),op(e2,e4)),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1784,plain,
    ( ~ sPE(op(e0,e3),e0)
    | ~ sPE(e0,op(e0,e2))
    | sPE(op(e0,e3),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1785,plain,
    ( ~ sPE(op(e0,e4),e0)
    | ~ sPE(e0,op(e3,e4))
    | sPE(op(e0,e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1786,plain,
    ~ sPE(op(e0,e4),op(e3,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1787,plain,
    ( ~ sPE(op(e1,e3),e1)
    | ~ sPE(e1,op(e0,e3))
    | sPE(op(e1,e3),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1788,plain,
    ( ~ sPE(op(e1,e2),e4)
    | ~ sPE(e4,op(e1,e4))
    | sPE(op(e1,e2),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1789,plain,
    ( ~ sPE(op(e1,e2),op(e0,e4))
    | ~ sPE(op(e0,e4),e3)
    | sPE(op(e1,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1790,plain,
    ( ~ sPE(op(e4,e4),op(e0,e3))
    | ~ sPE(op(e0,e3),e1)
    | sPE(op(e4,e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1791,plain,
    ( ~ sPE(op(op(e1,e0),e0),op(e4,e0))
    | ~ sPE(op(e4,e0),e1)
    | sPE(op(op(e1,e0),e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1792,plain,
    ( ~ sPE(op(e1,e2),e3)
    | ~ sPE(op(e2,e1),e2)
    | sPE(op(op(e1,e2),op(e2,e1)),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1793,plain,
    ( ~ sPE(op(op(e1,e2),op(e2,e1)),op(e3,e2))
    | ~ sPE(op(e3,e2),e1)
    | sPE(op(op(e1,e2),op(e2,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1794,plain,
    ( ~ sPE(op(e0,op(e1,e0)),op(e0,e3))
    | ~ sPE(op(e0,e3),e0)
    | sPE(op(e0,op(e1,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1795,plain,
    ( ~ sPE(op(e3,e4),e3)
    | ~ sPE(e3,op(op(e4,e3),op(e3,e4)))
    | sPE(op(e3,e4),op(op(e4,e3),op(e3,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1796,plain,
    ( ~ sPE(op(e0,e2),e2)
    | ~ sPE(e2,op(e4,e2))
    | sPE(op(e0,e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1797,plain,
    ( ~ sPE(op(e0,e2),e2)
    | ~ sPE(e2,op(op(e4,e2),op(e2,e4)))
    | sPE(op(e0,e2),op(op(e4,e2),op(e2,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1798,plain,
    ( ~ sPE(op(e0,e2),op(op(e4,e2),op(e2,e4)))
    | ~ sPE(op(op(e4,e2),op(e2,e4)),op(e0,e0))
    | sPE(op(e0,e2),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1799,plain,
    ( ~ sPE(op(e1,e2),e2)
    | ~ sPE(e2,op(e1,e3))
    | sPE(op(e1,e2),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1800,plain,
    ~ sPE(op(e0,e4),op(e1,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1801,plain,
    ( ~ sPE(op(e2,e0),e4)
    | ~ sPE(e4,op(e2,e4))
    | sPE(op(e2,e0),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1802,plain,
    ( ~ sPE(op(op(e2,e4),e4),op(op(e1,e2),op(e2,e1)))
    | ~ sPE(op(op(e1,e2),op(e2,e1)),e2)
    | sPE(op(op(e2,e4),e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1803,plain,
    ( ~ sPE(op(e2,e4),op(e1,e2))
    | ~ sPE(e4,op(e2,e1))
    | sPE(op(op(e2,e4),e4),op(op(e1,e2),op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1804,plain,
    ( ~ sPE(op(e2,e4),e0)
    | ~ sPE(e0,op(e1,e2))
    | sPE(op(e2,e4),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1805,plain,
    ( ~ sPE(op(e1,e2),op(op(e4,e3),op(e3,e4)))
    | ~ sPE(op(op(e4,e3),op(e3,e4)),e3)
    | sPE(op(e1,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1806,plain,
    ( ~ sPE(e1,op(e4,e3))
    | ~ sPE(e2,op(e3,e4))
    | sPE(op(e1,e2),op(op(e4,e3),op(e3,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1807,plain,
    ( ~ sPE(op(op(e1,e1),e1),op(e2,e1))
    | ~ sPE(op(e2,e1),e1)
    | sPE(op(op(e1,e1),e1),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1808,plain,
    ( ~ sPE(op(e1,e0),e0)
    | ~ sPE(e0,op(e0,e0))
    | sPE(op(e1,e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1809,plain,
    ( ~ sPE(op(e2,e3),e0)
    | ~ sPE(e0,op(e1,e3))
    | sPE(op(e2,e3),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1810,plain,
    ( ~ sPE(op(e4,e3),op(e3,e3))
    | sPE(op(e3,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1811,plain,
    ( ~ sPE(op(e0,e2),e0)
    | ~ sPE(e0,op(e1,e2))
    | sPE(op(e0,e2),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1812,plain,
    ~ sPE(op(e0,e2),op(e1,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1813,plain,
    ( ~ sPE(op(e2,e1),e2)
    | ~ sPE(e2,op(e4,e1))
    | sPE(op(e2,e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1814,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,e3)
    | sPE(op(op(e3,e3),e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1815,plain,
    ( ~ sPE(op(e0,e1),op(e2,e4))
    | ~ sPE(op(e2,e4),e3)
    | sPE(op(e0,e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1816,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e2,e1))
    | sPE(op(e3,e3),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1817,plain,
    ( ~ sPE(op(e3,e2),e2)
    | ~ sPE(e2,op(e3,e4))
    | sPE(op(e3,e2),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1818,plain,
    ( ~ sPE(op(e4,e3),e1)
    | ~ sPE(e1,op(e4,e1))
    | sPE(op(e4,e3),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1819,plain,
    ( ~ sPE(op(e4,e4),e1)
    | ~ sPE(e1,op(e4,e1))
    | sPE(op(e4,e4),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1820,plain,
    ( ~ sPE(e2,op(e1,e0))
    | ~ sPE(op(e1,e0),e1)
    | sPE(e2,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1821,plain,
    ( ~ sPE(e4,op(e2,e1))
    | ~ sPE(op(e2,e1),e2)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1822,plain,
    ( ~ sPE(op(e2,e1),op(e0,e0))
    | sPE(op(e0,e0),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1823,plain,
    ( ~ sPE(op(e2,e1),e2)
    | ~ sPE(e2,op(op(e1,e2),op(e2,e1)))
    | sPE(op(e2,e1),op(op(e1,e2),op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1824,plain,
    ( ~ sPE(op(e2,e1),op(op(e1,e2),op(e2,e1)))
    | ~ sPE(op(op(e1,e2),op(e2,e1)),e2)
    | sPE(op(e2,e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1825,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e2,e1),op(op(e1,e2),op(e2,e1)))
    | sPE(op(e0,op(e2,e1)),op(e0,op(op(e1,e2),op(e2,e1)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1826,plain,
    ( ~ sPE(e0,op(e0,op(e2,e1)))
    | ~ sPE(op(e0,op(e2,e1)),op(e0,op(op(e1,e2),op(e2,e1))))
    | sPE(e0,op(e0,op(op(e1,e2),op(e2,e1)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1827,plain,
    ( ~ sPE(op(e2,e1),op(op(e1,e2),op(e2,e1)))
    | ~ sPE(e0,e0)
    | sPE(op(op(e2,e1),e0),op(op(op(e1,e2),op(e2,e1)),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1828,plain,
    ( ~ sPE(e0,op(op(e2,e1),e0))
    | ~ sPE(op(op(e2,e1),e0),op(op(op(e1,e2),op(e2,e1)),e0))
    | sPE(e0,op(op(op(e1,e2),op(e2,e1)),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1829,plain,
    ( ~ sPE(op(op(e2,e1),e0),op(op(op(e1,e2),op(e2,e1)),e0))
    | ~ sPE(op(op(op(e1,e2),op(e2,e1)),e0),e0)
    | sPE(op(op(e2,e1),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1830,plain,
    ~ sPE(op(e1,e4),op(e2,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1831,plain,
    ( ~ sPE(e0,op(op(e4,e0),e0))
    | ~ sPE(op(op(e4,e0),e0),op(e2,e0))
    | sPE(e0,op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1832,plain,
    ( ~ sPE(op(e3,e3),e4)
    | ~ sPE(e4,op(e1,e4))
    | sPE(op(e3,e3),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1833,plain,
    ( ~ sPE(op(e2,e4),e4)
    | ~ sPE(e4,op(e1,e4))
    | sPE(op(e2,e4),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1834,plain,
    ( ~ sPE(op(e1,e0),e4)
    | ~ sPE(e4,op(e1,e4))
    | sPE(op(e1,e0),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1835,plain,
    ( ~ sPE(op(e0,e0),op(e1,e4))
    | ~ sPE(op(e1,e4),op(e3,e0))
    | sPE(op(e0,e0),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1836,plain,
    ( ~ sPE(e4,op(e3,e0))
    | ~ sPE(op(e3,e0),e0)
    | sPE(e4,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1837,plain,
    ( ~ sPE(e1,op(e2,e4))
    | ~ sPE(op(e2,e4),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1838,plain,
    ( ~ sPE(op(e0,e0),op(e3,e3))
    | sPE(op(e3,e3),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1839,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(op(e3,e3),e3)
    | sPE(op(e3,op(e3,e3)),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1840,plain,
    ( ~ sPE(op(e1,op(e1,e4)),op(e1,e0))
    | ~ sPE(op(e1,e0),e4)
    | sPE(op(e1,op(e1,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1841,plain,
    ( ~ sPE(e0,op(e2,e1))
    | ~ sPE(e0,op(e1,e2))
    | sPE(op(e0,e0),op(op(e2,e1),op(e1,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1842,plain,
    ( ~ sPE(op(e3,e1),e0)
    | ~ sPE(e0,op(e1,e2))
    | sPE(op(e3,e1),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1843,plain,
    ( ~ sPE(op(e4,e4),op(e3,e0))
    | ~ sPE(op(e3,e0),e2)
    | sPE(op(e4,e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1844,plain,
    ( ~ sPE(op(e4,op(e4,e3)),op(op(e1,e3),op(e3,e1)))
    | ~ sPE(op(op(e1,e3),op(e3,e1)),e3)
    | sPE(op(e4,op(e4,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1845,plain,
    ( ~ sPE(op(op(e1,e3),op(e3,e1)),op(e4,op(e4,e3)))
    | sPE(op(e4,op(e4,e3)),op(op(e1,e3),op(e3,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1846,plain,
    ( ~ sPE(op(e1,e3),e4)
    | ~ sPE(op(e3,e1),op(e4,e3))
    | sPE(op(op(e1,e3),op(e3,e1)),op(e4,op(e4,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1847,plain,
    ( ~ sPE(op(e0,e0),op(e2,e1))
    | ~ sPE(op(e2,e1),op(e0,e2))
    | sPE(op(e0,e0),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1848,plain,
    ( ~ sPE(op(e0,e0),op(op(e3,e2),op(e2,e3)))
    | ~ sPE(op(op(e3,e2),op(e2,e3)),e2)
    | sPE(op(e0,e0),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1849,plain,
    ( ~ sPE(op(e0,e0),op(op(e2,e4),op(e4,e2)))
    | ~ sPE(op(op(e2,e4),op(e4,e2)),e4)
    | sPE(op(e0,e0),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1850,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(e1,e4))
    | sPE(op(e3,e3),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1851,plain,
    ( ~ sPE(op(e3,e3),op(e0,e0))
    | ~ sPE(op(e0,e0),e0)
    | sPE(op(e3,e3),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1852,plain,
    ( ~ sPE(op(e2,e1),e2)
    | ~ sPE(e2,op(e2,e3))
    | sPE(op(e2,e1),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1853,plain,
    ( ~ sPE(op(e0,e4),e0)
    | ~ sPE(e0,op(e0,e0))
    | sPE(op(e0,e4),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1854,plain,
    ( ~ sPE(op(e0,e2),op(op(e0,e2),op(e2,e0)))
    | ~ sPE(op(op(e0,e2),op(e2,e0)),e2)
    | sPE(op(e0,e2),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1855,plain,
    ( ~ sPE(op(op(e0,e2),op(e2,e0)),op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(op(op(e0,e2),op(e2,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1856,plain,
    ( ~ sPE(op(e0,e3),op(op(e2,e0),op(e2,e2)))
    | ~ sPE(op(op(e2,e0),op(e2,e2)),op(e0,e4))
    | sPE(op(e0,e3),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1857,plain,
    ( ~ sPE(e0,op(e2,e0))
    | ~ sPE(e3,op(e2,e2))
    | sPE(op(e0,e3),op(op(e2,e0),op(e2,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1858,plain,
    ( ~ sPE(op(e3,e3),e3)
    | ~ sPE(e3,op(op(e2,e3),op(e3,e2)))
    | sPE(op(e3,e3),op(op(e2,e3),op(e3,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1859,plain,
    ( ~ sPE(op(e3,e3),op(op(e2,e3),op(e3,e2)))
    | ~ sPE(op(op(e2,e3),op(e3,e2)),op(e0,e0))
    | sPE(op(e3,e3),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1860,plain,
    ( ~ sPE(op(e1,e1),e0)
    | ~ sPE(e0,op(e4,e1))
    | sPE(op(e1,e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1861,plain,
    ( ~ sPE(op(e4,e1),op(e1,e1))
    | sPE(op(e1,e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1862,plain,
    ( ~ sPE(e1,op(e3,e2))
    | ~ sPE(op(e3,e2),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1863,plain,
    ( ~ sPE(op(e4,e2),e2)
    | ~ sPE(e2,op(e2,e2))
    | sPE(op(e4,e2),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1864,plain,
    ( ~ sPE(op(e0,e0),e1)
    | ~ sPE(e1,op(e0,e4))
    | sPE(op(e0,e0),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1865,plain,
    ( ~ sPE(op(e0,e3),e2)
    | ~ sPE(e2,op(e0,e2))
    | sPE(op(e0,e3),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1866,plain,
    ( ~ sPE(op(e0,e0),e4)
    | ~ sPE(e4,op(e1,e4))
    | sPE(op(e0,e0),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1867,plain,
    ( ~ sPE(op(e2,e2),op(e0,e0))
    | sPE(op(e0,e0),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1868,plain,
    ( ~ sPE(op(e0,e1),e3)
    | ~ sPE(e3,op(e3,e3))
    | sPE(op(e0,e1),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1869,plain,
    ~ sPE(op(e2,e1),op(e2,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1870,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(op(e3,e1),op(e1,e3)))
    | sPE(op(e1,e1),op(op(e3,e1),op(e1,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1871,plain,
    ( ~ sPE(op(e3,e3),op(op(e1,e3),op(e3,e1)))
    | ~ sPE(op(op(e1,e3),op(e3,e1)),op(e0,e0))
    | sPE(op(e3,e3),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1872,plain,
    ( ~ sPE(op(e1,e3),e0)
    | ~ sPE(op(e3,e1),e0)
    | sPE(op(op(e1,e3),op(e3,e1)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1873,plain,
    ( ~ sPE(e0,op(op(e2,e2),e0))
    | ~ sPE(op(op(e2,e2),e0),op(e3,e0))
    | sPE(e0,op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1874,plain,
    ( ~ sPE(op(e0,op(e0,e0)),e0)
    | ~ sPE(e0,op(e4,e0))
    | sPE(op(e0,op(e0,e0)),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1875,plain,
    ( ~ sPE(op(e0,e3),e3)
    | ~ sPE(e3,op(op(e3,e3),op(e3,e3)))
    | sPE(op(e0,e3),op(op(e3,e3),op(e3,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1876,plain,
    ( ~ sPE(op(e0,e3),op(op(e3,e3),op(e3,e3)))
    | ~ sPE(op(op(e3,e3),op(e3,e3)),op(e0,e0))
    | sPE(op(e0,e3),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1877,plain,
    ( ~ sPE(op(e0,e0),e1)
    | ~ sPE(e1,op(e2,e0))
    | sPE(op(e0,e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1878,plain,
    ( ~ sPE(op(e0,e0),e3)
    | ~ sPE(e3,op(e2,e0))
    | sPE(op(e0,e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1879,plain,
    ( ~ sPE(op(e1,e0),op(e2,e4))
    | ~ sPE(op(e2,e4),op(e0,e0))
    | sPE(op(e1,e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1880,plain,
    ( ~ sPE(op(e1,e2),e1)
    | ~ sPE(e1,op(e1,e3))
    | sPE(op(e1,e2),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1881,plain,
    ~ sPE(op(e1,e2),op(e1,e3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1882,plain,
    ( ~ sPE(op(e2,e1),e4)
    | ~ sPE(e4,op(e2,e4))
    | sPE(op(e2,e1),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1883,plain,
    ( ~ sPE(op(e2,e0),e0)
    | ~ sPE(e0,op(e2,e3))
    | sPE(op(e2,e0),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1884,plain,
    ( ~ sPE(op(e4,e1),e1)
    | ~ sPE(e1,op(e3,e3))
    | sPE(op(e4,e1),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1885,plain,
    ( ~ sPE(op(e0,e1),e0)
    | ~ sPE(e0,op(e0,e0))
    | sPE(op(e0,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1886,plain,
    ( ~ sPE(op(op(e1,e1),e1),op(e3,e1))
    | ~ sPE(op(e3,e1),e1)
    | sPE(op(op(e1,e1),e1),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1887,plain,
    ( ~ sPE(op(e1,e1),e3)
    | ~ sPE(e1,e1)
    | sPE(op(op(e1,e1),e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1888,plain,
    ( ~ sPE(op(e3,e1),op(e0,e4))
    | ~ sPE(op(e0,e4),e1)
    | sPE(op(e3,e1),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1889,plain,
    ( ~ sPE(op(e3,e2),op(e3,e1))
    | sPE(op(e3,e1),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1890,plain,
    ( ~ sPE(op(e3,e1),e0)
    | ~ sPE(e0,op(e3,e2))
    | sPE(op(e3,e1),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1891,plain,
    ( ~ sPE(op(e4,e3),op(op(e1,e2),op(e2,e1)))
    | ~ sPE(op(op(e1,e2),op(e2,e1)),e2)
    | sPE(op(e4,e3),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1892,plain,
    ( ~ sPE(e4,op(e1,e2))
    | ~ sPE(e3,op(e2,e1))
    | sPE(op(e4,e3),op(op(e1,e2),op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1893,plain,
    ~ sPE(op(e1,e2),op(e2,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1894,plain,
    ( ~ sPE(op(e3,e1),op(e2,e1))
    | sPE(op(e2,e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1895,plain,
    ( ~ sPE(op(e0,e2),e2)
    | ~ sPE(e2,op(e1,e3))
    | sPE(op(e0,e2),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1896,plain,
    ( ~ sPE(op(e0,e2),op(e1,e3))
    | ~ sPE(op(e1,e3),op(e0,e0))
    | sPE(op(e0,e2),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1897,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e3,e0))
    | sPE(op(e2,e2),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1898,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e4,e0))
    | sPE(op(e2,e2),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1899,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(op(e2,e1),e3)
    | sPE(op(e2,op(e2,e1)),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1900,plain,
    ( ~ sPE(op(e2,e2),op(e0,e4))
    | ~ sPE(op(e0,e4),e1)
    | sPE(op(e2,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1901,plain,
    ( ~ sPE(op(e2,e3),op(e4,e2))
    | ~ sPE(op(e4,e2),e1)
    | sPE(op(e2,e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1902,plain,
    ( ~ sPE(op(e1,e2),e0)
    | ~ sPE(op(e2,e1),e2)
    | sPE(op(op(e1,e2),op(e2,e1)),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1903,plain,
    ( ~ sPE(op(e2,e1),op(op(e1,e2),op(e2,e1)))
    | ~ sPE(op(op(e1,e2),op(e2,e1)),op(e2,e2))
    | sPE(op(e2,e1),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1904,plain,
    ( ~ sPE(op(e1,e2),e2)
    | ~ sPE(op(e2,e1),e2)
    | sPE(op(op(e1,e2),op(e2,e1)),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1905,plain,
    ~ sPE(op(e2,e1),op(e2,e2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1906,plain,
    ( ~ sPE(op(e4,e2),op(e3,e0))
    | ~ sPE(op(e3,e0),e2)
    | sPE(op(e4,e2),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1907,plain,
    ( ~ sPE(e0,op(e0,op(e0,e0)))
    | ~ sPE(op(e0,op(e0,e0)),op(e0,e3))
    | sPE(e0,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1908,plain,
    ( ~ sPE(e3,op(e3,e4))
    | ~ sPE(op(e3,e4),e2)
    | sPE(e3,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1909,plain,
    ( ~ sPE(op(e4,e1),e0)
    | ~ sPE(e0,op(e4,e3))
    | sPE(op(e4,e1),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1910,plain,
    ( ~ sPE(op(e2,e4),e4)
    | ~ sPE(e4,op(e2,e3))
    | sPE(op(e2,e4),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1911,plain,
    ( ~ sPE(op(e1,e0),e1)
    | ~ sPE(e1,op(op(e4,e1),op(e1,e4)))
    | sPE(op(e1,e0),op(op(e4,e1),op(e1,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1912,plain,
    ( ~ sPE(op(e1,e0),op(op(e4,e1),op(e1,e4)))
    | ~ sPE(op(op(e4,e1),op(e1,e4)),op(e0,e0))
    | sPE(op(e1,e0),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1913,plain,
    ( ~ sPE(op(e4,e1),e0)
    | ~ sPE(op(e1,e4),e0)
    | sPE(op(op(e4,e1),op(e1,e4)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1914,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e1,e0),op(op(e4,e1),op(e1,e4)))
    | sPE(op(e0,op(e1,e0)),op(e0,op(op(e4,e1),op(e1,e4)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1915,plain,
    ( ~ sPE(op(e0,op(e1,e0)),op(e0,op(op(e4,e1),op(e1,e4))))
    | ~ sPE(op(e0,op(op(e4,e1),op(e1,e4))),e0)
    | sPE(op(e0,op(e1,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1916,plain,
    ( ~ sPE(op(e0,e4),e0)
    | ~ sPE(op(e4,e0),e4)
    | sPE(op(op(e0,e4),op(e4,e0)),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1917,plain,
    ( ~ sPE(op(e0,e1),e0)
    | ~ sPE(e0,op(e0,e4))
    | sPE(op(e0,e1),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1918,plain,
    ~ sPE(op(e3,e0),op(e3,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1919,plain,
    ( ~ sPE(op(e1,e2),e1)
    | ~ sPE(op(e2,e1),e2)
    | sPE(op(op(e1,e2),op(e2,e1)),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1920,plain,
    ( ~ sPE(op(op(e1,e2),op(e2,e1)),op(e1,e2))
    | ~ sPE(op(e1,e2),e1)
    | sPE(op(op(e1,e2),op(e2,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1921,plain,
    ( ~ sPE(e0,op(e2,e3))
    | ~ sPE(op(e2,e3),e1)
    | sPE(e0,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1922,plain,
    ~ sPE(op(e1,e1),op(e2,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g1923,plain,
    ( ~ sPE(op(e1,e4),op(e3,e2))
    | ~ sPE(op(e3,e2),e4)
    | sPE(op(e1,e4),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1924,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(op(e3,e1),e0)
    | sPE(op(e3,op(e3,e1)),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1925,plain,
    ( ~ sPE(op(e3,e4),e0)
    | ~ sPE(e0,op(e1,e4))
    | sPE(op(e3,e4),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1926,plain,
    ( ~ sPE(op(e0,e0),e4)
    | ~ sPE(e4,op(e0,e1))
    | sPE(op(e0,e0),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1927,plain,
    ( ~ sPE(op(e2,e0),e4)
    | ~ sPE(e4,op(e0,e1))
    | sPE(op(e2,e0),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1928,plain,
    ( ~ sPE(op(e0,e1),e0)
    | ~ sPE(e0,op(e0,e3))
    | sPE(op(e0,e1),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1929,plain,
    ( ~ sPE(op(e0,e0),e2)
    | ~ sPE(e2,op(e0,e3))
    | sPE(op(e0,e0),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1930,plain,
    ( ~ sPE(op(e0,e0),e4)
    | ~ sPE(e4,op(e0,e3))
    | sPE(op(e0,e0),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1931,plain,
    ( ~ sPE(e1,op(e2,e3))
    | ~ sPE(op(e2,e3),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1932,plain,
    ( ~ sPE(op(e2,e4),e0)
    | ~ sPE(e0,op(e1,e4))
    | sPE(op(e2,e4),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1933,plain,
    ( ~ sPE(op(e2,e4),e4)
    | ~ sPE(e4,op(e0,e3))
    | sPE(op(e2,e4),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1934,plain,
    ( ~ sPE(op(e2,e3),op(e4,e1))
    | sPE(op(e4,e1),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1935,plain,
    ( ~ sPE(e1,op(e4,e3))
    | ~ sPE(op(e4,e3),e3)
    | sPE(e1,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1936,plain,
    ( ~ sPE(e2,op(e4,e3))
    | ~ sPE(op(e4,e3),e3)
    | sPE(e2,e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1937,plain,
    ( ~ sPE(op(e3,e0),e0)
    | ~ sPE(e0,op(e3,e3))
    | sPE(op(e3,e0),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1938,plain,
    ( ~ sPE(op(e3,e3),op(e3,e0))
    | sPE(op(e3,e0),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1939,plain,
    ( ~ sPE(op(e1,e1),op(e3,e4))
    | ~ sPE(op(e3,e4),e2)
    | sPE(op(e1,e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1940,plain,
    ( ~ sPE(op(e3,op(e3,e2)),op(e3,e1))
    | ~ sPE(op(e3,e1),e2)
    | sPE(op(e3,op(e3,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1941,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(op(e3,e2),e1)
    | sPE(op(e3,op(e3,e2)),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1942,plain,
    ( ~ sPE(op(e4,e3),op(e0,e0))
    | ~ sPE(op(e0,e0),e4)
    | sPE(op(e4,e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1943,plain,
    ( ~ sPE(op(e2,op(e2,e4)),op(e2,e3))
    | ~ sPE(op(e2,e3),e4)
    | sPE(op(e2,op(e2,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1944,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(op(e2,e4),e3)
    | sPE(op(e2,op(e2,e4)),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1945,plain,
    ( ~ sPE(e4,op(e0,e1))
    | ~ sPE(op(e0,e1),e2)
    | sPE(e4,e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1946,plain,
    ( ~ sPE(op(e2,e0),e2)
    | ~ sPE(e2,op(e1,e0))
    | sPE(op(e2,e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1947,plain,
    ( ~ sPE(op(e2,e0),op(e1,e0))
    | sPE(op(e1,e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1948,plain,
    ( ~ sPE(op(e0,e1),e0)
    | ~ sPE(op(e1,e2),e4)
    | sPE(op(op(e0,e1),op(e1,e2)),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1949,plain,
    ( ~ sPE(op(e0,e3),op(op(e0,e1),op(e1,e2)))
    | ~ sPE(op(op(e0,e1),op(e1,e2)),op(e0,e4))
    | sPE(op(e0,e3),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1950,plain,
    ( ~ sPE(e0,op(e0,e1))
    | ~ sPE(e3,op(e1,e2))
    | sPE(op(e0,e3),op(op(e0,e1),op(e1,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1951,plain,
    ( ~ sPE(op(e2,e4),op(e1,e0))
    | ~ sPE(op(e1,e0),e2)
    | sPE(op(e2,e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1952,plain,
    ( ~ sPE(op(e3,e4),e3)
    | ~ sPE(e3,op(e4,e4))
    | sPE(op(e3,e4),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1953,plain,
    ( ~ sPE(e0,op(op(e0,e0),e0))
    | ~ sPE(op(op(e0,e0),e0),op(e3,e0))
    | sPE(e0,op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1954,plain,
    ( ~ sPE(op(e4,e1),e1)
    | ~ sPE(e1,op(op(e0,e1),op(e1,e0)))
    | sPE(op(e4,e1),op(op(e0,e1),op(e1,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1955,plain,
    ( ~ sPE(op(op(e0,e1),op(e1,e0)),op(e4,e1))
    | ~ sPE(op(e4,e1),e0)
    | sPE(op(op(e0,e1),op(e1,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1956,plain,
    ( ~ sPE(op(op(e0,e1),op(e1,e0)),op(e4,e1))
    | sPE(op(e4,e1),op(op(e0,e1),op(e1,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1957,plain,
    ( ~ sPE(op(e0,e0),op(op(e0,e1),op(e1,e0)))
    | ~ sPE(op(op(e0,e1),op(e1,e0)),e1)
    | sPE(op(e0,e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1958,plain,
    ( ~ sPE(op(e4,e1),op(op(e0,e1),op(e1,e0)))
    | ~ sPE(op(op(e0,e1),op(e1,e0)),op(e0,e0))
    | sPE(op(e4,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1959,plain,
    ( ~ sPE(op(e4,e1),op(op(e0,e1),op(e1,e0)))
    | ~ sPE(op(op(e0,e1),op(e1,e0)),e1)
    | sPE(op(e4,e1),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1960,plain,
    ( ~ sPE(op(e4,e2),e2)
    | ~ sPE(e2,op(e4,e1))
    | sPE(op(e4,e2),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1961,plain,
    ( ~ sPE(e3,op(e4,e0))
    | ~ sPE(op(e4,e0),e4)
    | sPE(e3,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1962,plain,
    ( ~ sPE(e1,op(e4,e0))
    | ~ sPE(op(e4,e0),e4)
    | sPE(e1,e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1963,plain,
    ( ~ sPE(op(e0,e0),e4)
    | ~ sPE(e4,op(e4,e0))
    | sPE(op(e0,e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1964,plain,
    ( ~ sPE(op(e4,e2),e1)
    | ~ sPE(e1,op(e1,e2))
    | sPE(op(e4,e2),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1965,plain,
    ( ~ sPE(e2,op(e3,e1))
    | ~ sPE(op(e3,e1),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1966,plain,
    ( ~ sPE(op(e4,e1),e1)
    | ~ sPE(e1,op(e4,e4))
    | sPE(op(e4,e1),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1967,plain,
    ( ~ sPE(op(e4,e1),e1)
    | ~ sPE(e1,op(e4,e0))
    | sPE(op(e4,e1),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1968,plain,
    ( ~ sPE(op(e4,e1),op(e2,e3))
    | ~ sPE(op(e2,e3),op(e0,e0))
    | sPE(op(e4,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1969,plain,
    ( ~ sPE(op(e1,e2),e1)
    | ~ sPE(e1,op(e2,e2))
    | sPE(op(e1,e2),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1970,plain,
    ( ~ sPE(op(e0,e0),op(op(e2,e2),op(e2,e2)))
    | ~ sPE(op(op(e2,e2),op(e2,e2)),e2)
    | sPE(op(e0,e0),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1971,plain,
    ( ~ sPE(op(e3,e3),op(e0,e0))
    | ~ sPE(op(e0,e0),op(e4,e3))
    | sPE(op(e3,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1972,plain,
    ( ~ sPE(op(e2,e4),e2)
    | ~ sPE(e2,op(e0,e1))
    | sPE(op(e2,e4),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1973,plain,
    ( ~ sPE(op(e2,e4),e2)
    | ~ sPE(e2,op(op(e3,e2),op(e2,e3)))
    | sPE(op(e2,e4),op(op(e3,e2),op(e2,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1974,plain,
    ( ~ sPE(op(e2,e4),op(op(e3,e2),op(e2,e3)))
    | ~ sPE(op(op(e3,e2),op(e2,e3)),op(e0,e0))
    | sPE(op(e2,e4),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1975,plain,
    ( ~ sPE(op(e3,e2),e0)
    | ~ sPE(op(e2,e3),e0)
    | sPE(op(op(e3,e2),op(e2,e3)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1976,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e2,e4),op(op(e3,e2),op(e2,e3)))
    | sPE(op(e0,op(e2,e4)),op(e0,op(op(e3,e2),op(e2,e3)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1977,plain,
    ( ~ sPE(e0,op(e0,op(e2,e4)))
    | ~ sPE(op(e0,op(e2,e4)),op(e0,op(op(e3,e2),op(e2,e3))))
    | sPE(e0,op(e0,op(op(e3,e2),op(e2,e3)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1978,plain,
    ( ~ sPE(op(e2,e3),e2)
    | ~ sPE(e2,op(e2,e4))
    | sPE(op(e2,e3),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1979,plain,
    ( ~ sPE(e1,op(e3,e0))
    | ~ sPE(op(e3,e0),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1980,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e4,e1),op(op(e4,e1),op(e1,e4)))
    | sPE(op(e0,op(e4,e1)),op(e0,op(op(e4,e1),op(e1,e4)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1981,plain,
    ( ~ sPE(e0,op(e0,op(e4,e1)))
    | ~ sPE(op(e0,op(e4,e1)),op(e0,op(op(e4,e1),op(e1,e4))))
    | sPE(e0,op(e0,op(op(e4,e1),op(e1,e4)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1982,plain,
    ( ~ sPE(op(e0,op(e4,e1)),op(e0,op(op(e4,e1),op(e1,e4))))
    | ~ sPE(op(e0,op(op(e4,e1),op(e1,e4))),e0)
    | sPE(op(e0,op(e4,e1)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1983,plain,
    ( ~ sPE(op(e1,e1),op(e3,e0))
    | ~ sPE(op(e3,e0),e4)
    | sPE(op(e1,e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1984,plain,
    ( ~ sPE(op(e3,e3),op(e3,e1))
    | sPE(op(e3,e1),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1985,plain,
    ( ~ sPE(op(e0,e3),e4)
    | ~ sPE(op(e3,e0),e3)
    | sPE(op(op(e0,e3),op(e3,e0)),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1986,plain,
    ( ~ sPE(op(op(e0,e3),op(e3,e0)),op(e4,e3))
    | ~ sPE(op(e4,e3),e0)
    | sPE(op(op(e0,e3),op(e3,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1987,plain,
    ( ~ sPE(op(e2,e3),e2)
    | ~ sPE(e2,op(e3,e3))
    | sPE(op(e2,e3),op(e3,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1988,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(e2,e3))
    | sPE(op(e4,e4),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1989,plain,
    ( ~ sPE(op(e0,e1),e3)
    | ~ sPE(e3,op(e0,e3))
    | sPE(op(e0,e1),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1990,plain,
    ( ~ sPE(e2,op(e3,e1))
    | ~ sPE(op(e3,e1),e1)
    | sPE(e2,e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1991,plain,
    ( ~ sPE(op(e4,e2),e2)
    | ~ sPE(e2,op(e4,e4))
    | sPE(op(e4,e2),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1992,plain,
    ( ~ sPE(e2,op(e0,e0))
    | ~ sPE(op(e0,e0),op(e4,e4))
    | sPE(e2,op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1993,plain,
    ( ~ sPE(op(e4,op(e4,e0)),op(e4,e2))
    | ~ sPE(op(e4,e2),e0)
    | sPE(op(e4,op(e4,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1994,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(op(e4,e0),e2)
    | sPE(op(e4,op(e4,e0)),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1995,plain,
    ( ~ sPE(op(op(e3,e4),e4),op(op(e2,e3),op(e3,e2)))
    | ~ sPE(op(op(e2,e3),op(e3,e2)),e3)
    | sPE(op(op(e3,e4),e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1996,plain,
    ( ~ sPE(op(op(e2,e3),op(e3,e2)),op(op(e3,e4),e4))
    | sPE(op(op(e3,e4),e4),op(op(e2,e3),op(e3,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1997,plain,
    ( ~ sPE(op(e2,e3),op(e3,e4))
    | ~ sPE(op(e3,e2),e4)
    | sPE(op(op(e2,e3),op(e3,e2)),op(op(e3,e4),e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1998,plain,
    ( ~ sPE(e2,op(e0,e1))
    | ~ sPE(op(e0,e1),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g1999,plain,
    ( ~ sPE(op(e4,e1),op(e2,e1))
    | sPE(op(e2,e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2000,plain,
    ( ~ sPE(op(e2,e1),e0)
    | ~ sPE(e0,op(e4,e1))
    | sPE(op(e2,e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2001,plain,
    ( ~ sPE(op(e0,e1),e0)
    | ~ sPE(e0,op(e2,e1))
    | sPE(op(e0,e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2002,plain,
    ( ~ sPE(op(e0,e0),e0)
    | ~ sPE(e0,op(e1,e0))
    | sPE(op(e0,e0),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2003,plain,
    ( ~ sPE(op(e2,e3),e3)
    | ~ sPE(e3,op(e4,e3))
    | sPE(op(e2,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2004,plain,
    ( ~ sPE(op(e4,e4),op(e4,e1))
    | sPE(op(e4,e1),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2005,plain,
    ( ~ sPE(op(e2,e2),e3)
    | ~ sPE(e2,e2)
    | sPE(op(op(e2,e2),e2),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2006,plain,
    ( ~ sPE(op(e0,e0),op(op(e2,e3),op(e3,e2)))
    | ~ sPE(op(op(e2,e3),op(e3,e2)),e3)
    | sPE(op(e0,e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2007,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(op(e2,e3),op(e3,e2)),e3)
    | sPE(op(e0,op(op(e2,e3),op(e3,e2))),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2008,plain,
    ( ~ sPE(op(e0,op(op(e2,e3),op(e3,e2))),op(e0,e3))
    | ~ sPE(op(e0,e3),e0)
    | sPE(op(e0,op(op(e2,e3),op(e3,e2))),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2009,plain,
    ( ~ sPE(e1,op(e0,e2))
    | ~ sPE(op(e0,e2),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2010,plain,
    ( ~ sPE(op(e2,e1),e0)
    | ~ sPE(op(e1,e2),e1)
    | sPE(op(op(e2,e1),op(e1,e2)),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2011,plain,
    ( ~ sPE(op(e2,e3),op(e3,e4))
    | sPE(op(e3,e4),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2012,plain,
    ( ~ sPE(op(e2,e4),op(e1,e4))
    | sPE(op(e1,e4),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2013,plain,
    ( ~ sPE(op(e1,e4),e0)
    | ~ sPE(e0,op(e2,e4))
    | sPE(op(e1,e4),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2014,plain,
    ( ~ sPE(op(e2,e4),op(e0,e0))
    | ~ sPE(op(e0,e0),op(e3,e4))
    | sPE(op(e2,e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2015,plain,
    ( ~ sPE(e4,op(e0,e0))
    | ~ sPE(op(e0,e0),op(e3,e4))
    | sPE(e4,op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2016,plain,
    ( ~ sPE(op(e1,e2),e0)
    | ~ sPE(e0,op(e3,e2))
    | sPE(op(e1,e2),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2017,plain,
    ( ~ sPE(op(e0,e0),op(op(e2,e1),op(e1,e2)))
    | ~ sPE(op(op(e2,e1),op(e1,e2)),e1)
    | sPE(op(e0,e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2018,plain,
    ( ~ sPE(op(e3,e1),e1)
    | ~ sPE(e1,op(op(e2,e1),op(e1,e2)))
    | sPE(op(e3,e1),op(op(e2,e1),op(e1,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2019,plain,
    ( ~ sPE(op(e0,e4),e2)
    | ~ sPE(e2,op(e4,e2))
    | sPE(op(e0,e4),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2020,plain,
    ( ~ sPE(op(e3,op(e3,e4)),op(e3,e0))
    | ~ sPE(op(e3,e0),e4)
    | sPE(op(e3,op(e3,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2021,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(op(e3,e4),e0)
    | sPE(op(e3,op(e3,e4)),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2022,plain,
    ~ sPE(op(e0,e2),op(e0,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g2023,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(e2,e1))
    | sPE(op(e4,e4),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2024,plain,
    ~ sPE(op(e2,e4),op(e4,e4)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g2025,plain,
    ( ~ sPE(op(e3,e3),e1)
    | ~ sPE(e1,op(e3,e1))
    | sPE(op(e3,e3),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2026,plain,
    ( ~ sPE(op(e3,e1),e1)
    | ~ sPE(e1,op(e3,e2))
    | sPE(op(e3,e1),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2027,plain,
    ( ~ sPE(op(e4,e4),op(e0,e0))
    | ~ sPE(op(e0,e0),e3)
    | sPE(op(e4,e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2028,plain,
    ( ~ sPE(op(e4,e4),op(e0,e2))
    | ~ sPE(op(e0,e2),e3)
    | sPE(op(e4,e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2029,plain,
    ( ~ sPE(op(e0,e2),op(e4,e4))
    | sPE(op(e4,e4),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2030,plain,
    ( ~ sPE(op(op(e4,e1),e1),op(e0,e1))
    | ~ sPE(op(e0,e1),e4)
    | sPE(op(op(e4,e1),e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2031,plain,
    ( ~ sPE(op(e0,e1),op(op(e4,e1),e1))
    | sPE(op(op(e4,e1),e1),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2032,plain,
    ( ~ sPE(e0,op(e4,e1))
    | ~ sPE(e1,e1)
    | sPE(op(e0,e1),op(op(e4,e1),e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2033,plain,
    ( ~ sPE(op(e3,e1),op(e1,e1))
    | sPE(op(e1,e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2034,plain,
    ( ~ sPE(op(e1,e4),e3)
    | ~ sPE(e3,op(e3,e4))
    | sPE(op(e1,e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2035,plain,
    ( ~ sPE(op(e3,e2),op(e3,e0))
    | sPE(op(e3,e0),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2036,plain,
    ( ~ sPE(op(e3,e1),e1)
    | ~ sPE(e1,op(e2,e1))
    | sPE(op(e3,e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2037,plain,
    ( ~ sPE(op(e3,e1),e1)
    | ~ sPE(e1,op(e0,e3))
    | sPE(op(e3,e1),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2038,plain,
    ( ~ sPE(op(e1,e4),e4)
    | ~ sPE(e4,op(e2,e0))
    | sPE(op(e1,e4),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2039,plain,
    ( ~ sPE(op(e3,e1),op(e0,e3))
    | ~ sPE(op(e0,e3),e4)
    | sPE(op(e3,e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2040,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(op(e1,e2),e0)
    | sPE(op(e1,op(e1,e2)),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2041,plain,
    ( ~ sPE(op(e0,e1),e0)
    | ~ sPE(e0,op(e3,e1))
    | sPE(op(e0,e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2042,plain,
    ~ sPE(op(e0,e1),op(e3,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g2043,plain,
    ( ~ sPE(op(op(e2,e1),op(e1,e2)),e2)
    | ~ sPE(e0,e0)
    | sPE(op(op(op(e2,e1),op(e1,e2)),e0),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2044,plain,
    ( ~ sPE(e0,op(op(op(e2,e1),op(e1,e2)),e0))
    | ~ sPE(op(op(op(e2,e1),op(e1,e2)),e0),op(e2,e0))
    | sPE(e0,op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2045,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(e3,e4),op(op(e4,e3),op(e3,e4)))
    | sPE(op(e0,op(e3,e4)),op(e0,op(op(e4,e3),op(e3,e4)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2046,plain,
    ( ~ sPE(op(e0,op(e3,e4)),op(e0,op(op(e4,e3),op(e3,e4))))
    | ~ sPE(op(e0,op(op(e4,e3),op(e3,e4))),e0)
    | sPE(op(e0,op(e3,e4)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2047,plain,
    ( ~ sPE(op(e3,e1),op(op(e4,e3),op(e3,e4)))
    | ~ sPE(op(op(e4,e3),op(e3,e4)),e3)
    | sPE(op(e3,e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2048,plain,
    ( ~ sPE(e3,op(e4,e3))
    | ~ sPE(e1,op(e3,e4))
    | sPE(op(e3,e1),op(op(e4,e3),op(e3,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2049,plain,
    ( ~ sPE(op(e3,e1),op(op(e2,e1),op(e1,e2)))
    | ~ sPE(e0,e0)
    | sPE(op(op(e3,e1),e0),op(op(op(e2,e1),op(e1,e2)),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2050,plain,
    ( ~ sPE(e0,op(op(e3,e1),e0))
    | ~ sPE(op(op(e3,e1),e0),op(op(op(e2,e1),op(e1,e2)),e0))
    | sPE(e0,op(op(op(e2,e1),op(e1,e2)),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2051,plain,
    ( ~ sPE(op(e3,e0),e1)
    | ~ sPE(e1,op(e3,e1))
    | sPE(op(e3,e0),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2052,plain,
    ( ~ sPE(op(e2,e2),op(e3,e4))
    | ~ sPE(op(e3,e4),e1)
    | sPE(op(e2,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2053,plain,
    ( ~ sPE(op(e2,e2),e4)
    | ~ sPE(e2,e2)
    | sPE(op(op(e2,e2),e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2054,plain,
    ( ~ sPE(op(e0,e4),e3)
    | ~ sPE(e4,e4)
    | sPE(op(op(e0,e4),e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2055,plain,
    ( ~ sPE(op(op(e0,e4),e4),op(e2,e4))
    | ~ sPE(op(e2,e4),e0)
    | sPE(op(op(e0,e4),e4),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2056,plain,
    ( ~ sPE(op(e0,e4),e2)
    | ~ sPE(e4,e4)
    | sPE(op(op(e0,e4),e4),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2057,plain,
    ( ~ sPE(op(e1,e4),e1)
    | ~ sPE(e1,op(e3,e0))
    | sPE(op(e1,e4),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2058,plain,
    ( ~ sPE(op(op(e0,e3),e3),op(e4,e3))
    | ~ sPE(op(e4,e3),e0)
    | sPE(op(op(e0,e3),e3),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2059,plain,
    ( ~ sPE(op(e0,e3),e4)
    | ~ sPE(e3,e3)
    | sPE(op(op(e0,e3),e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2060,plain,
    ( ~ sPE(op(op(e0,e3),e3),op(e1,e3))
    | ~ sPE(op(e1,e3),e0)
    | sPE(op(op(e0,e3),e3),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2061,plain,
    ( ~ sPE(op(e0,e3),e1)
    | ~ sPE(e3,e3)
    | sPE(op(op(e0,e3),e3),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2062,plain,
    ( ~ sPE(op(e0,e0),e3)
    | ~ sPE(e3,op(e3,e4))
    | sPE(op(e0,e0),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2063,plain,
    ( ~ sPE(op(e1,e4),e1)
    | ~ sPE(e1,op(e4,e4))
    | sPE(op(e1,e4),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2064,plain,
    ( ~ sPE(op(e2,e0),op(e0,e1))
    | sPE(op(e0,e1),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2065,plain,
    ( ~ sPE(op(e4,e2),op(e1,e0))
    | ~ sPE(op(e1,e0),e2)
    | sPE(op(e4,e2),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2066,plain,
    ( ~ sPE(op(op(e0,e2),e2),op(e1,e2))
    | ~ sPE(op(e1,e2),e0)
    | sPE(op(op(e0,e2),e2),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2067,plain,
    ( ~ sPE(op(e0,e2),e1)
    | ~ sPE(e2,e2)
    | sPE(op(op(e0,e2),e2),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2068,plain,
    ( ~ sPE(op(op(e0,e2),e2),op(e3,e2))
    | ~ sPE(op(e3,e2),e0)
    | sPE(op(op(e0,e2),e2),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2069,plain,
    ( ~ sPE(op(e0,e2),e3)
    | ~ sPE(e2,e2)
    | sPE(op(op(e0,e2),e2),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2070,plain,
    ( ~ sPE(op(op(e0,e1),e1),op(e4,e1))
    | ~ sPE(op(e4,e1),e0)
    | sPE(op(op(e0,e1),e1),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2071,plain,
    ( ~ sPE(op(e0,e1),e4)
    | ~ sPE(e1,e1)
    | sPE(op(op(e0,e1),e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2072,plain,
    ( ~ sPE(op(e2,e3),op(e0,e3))
    | sPE(op(e0,e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2073,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(op(e3,e2),op(e2,e3)))
    | sPE(op(e2,e2),op(op(e3,e2),op(e2,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2074,plain,
    ( ~ sPE(op(e3,e0),e2)
    | ~ sPE(e2,op(e3,e2))
    | sPE(op(e3,e0),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2075,plain,
    ( ~ sPE(op(e1,e3),op(e1,e2))
    | sPE(op(e1,e2),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2076,plain,
    ( ~ sPE(op(e1,e3),op(op(e4,e3),op(e3,e4)))
    | ~ sPE(op(op(e4,e3),op(e3,e4)),e3)
    | sPE(op(e1,e3),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2077,plain,
    ( ~ sPE(e1,op(e4,e3))
    | ~ sPE(e3,op(e3,e4))
    | sPE(op(e1,e3),op(op(e4,e3),op(e3,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2078,plain,
    ( ~ sPE(e0,op(e0,op(e0,e4)))
    | ~ sPE(op(e0,op(e0,e4)),op(e0,e3))
    | sPE(e0,op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2079,plain,
    ( ~ sPE(op(e0,e1),e3)
    | ~ sPE(e3,op(e3,e1))
    | sPE(op(e0,e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2080,plain,
    ( ~ sPE(op(e4,e2),e4)
    | ~ sPE(e4,op(e1,e2))
    | sPE(op(e4,e2),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2081,plain,
    ( ~ sPE(op(e0,e3),e0)
    | ~ sPE(e0,op(e1,e3))
    | sPE(op(e0,e3),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2082,plain,
    ( ~ sPE(op(e1,e4),op(e2,e0))
    | ~ sPE(op(e2,e0),e3)
    | sPE(op(e1,e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2083,plain,
    ( ~ sPE(op(e4,e3),op(e3,e1))
    | ~ sPE(op(e3,e1),e2)
    | sPE(op(e4,e3),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2084,plain,
    ( ~ sPE(op(e4,e2),e3)
    | ~ sPE(e3,op(e4,e3))
    | sPE(op(e4,e2),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2085,plain,
    ( ~ sPE(op(e3,e4),e4)
    | ~ sPE(op(e4,e3),e3)
    | sPE(op(op(e3,e4),op(e4,e3)),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2086,plain,
    ( ~ sPE(op(e1,e2),op(e1,e1))
    | sPE(op(e1,e1),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2087,plain,
    ( ~ sPE(op(e0,op(e0,e4)),op(op(e2,e4),op(e4,e2)))
    | ~ sPE(op(op(e2,e4),op(e4,e2)),e4)
    | sPE(op(e0,op(e0,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2088,plain,
    ( ~ sPE(e0,op(e2,e4))
    | ~ sPE(op(e0,e4),op(e4,e2))
    | sPE(op(e0,op(e0,e4)),op(op(e2,e4),op(e4,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2089,plain,
    ( ~ sPE(op(e3,e0),e3)
    | ~ sPE(e3,op(e4,e0))
    | sPE(op(e3,e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2090,plain,
    ( ~ sPE(op(e3,e1),e3)
    | ~ sPE(e3,op(e1,e1))
    | sPE(op(e3,e1),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2091,plain,
    ( ~ sPE(op(e1,e3),e1)
    | ~ sPE(e1,op(e0,e2))
    | sPE(op(e1,e3),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2092,plain,
    ( ~ sPE(e1,op(e0,e0))
    | ~ sPE(op(e0,e0),op(e4,e3))
    | sPE(e1,op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2093,plain,
    ( ~ sPE(op(e2,e1),op(op(e1,e1),e1))
    | sPE(op(op(e1,e1),e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2094,plain,
    ( ~ sPE(e2,op(e1,e1))
    | ~ sPE(e1,e1)
    | sPE(op(e2,e1),op(op(e1,e1),e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2095,plain,
    ( ~ sPE(op(e1,e3),e1)
    | ~ sPE(e1,op(e0,e0))
    | sPE(op(e1,e3),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2096,plain,
    ( ~ sPE(op(e2,e4),e2)
    | ~ sPE(e2,op(op(e1,e2),op(e2,e1)))
    | sPE(op(e2,e4),op(op(e1,e2),op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2097,plain,
    ( ~ sPE(op(e2,e4),op(op(e1,e2),op(e2,e1)))
    | ~ sPE(op(op(e1,e2),op(e2,e1)),op(e0,e0))
    | sPE(op(e2,e4),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2098,plain,
    ( ~ sPE(op(e3,e3),e4)
    | ~ sPE(e3,e3)
    | sPE(op(op(e3,e3),e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2099,plain,
    ( ~ sPE(op(op(e0,e3),e3),op(e2,e3))
    | ~ sPE(op(e2,e3),e0)
    | sPE(op(op(e0,e3),e3),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2100,plain,
    ( ~ sPE(op(e0,e3),e2)
    | ~ sPE(e3,e3)
    | sPE(op(op(e0,e3),e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2101,plain,
    ( ~ sPE(op(e0,e0),op(op(e1,e3),op(e3,e1)))
    | ~ sPE(op(op(e1,e3),op(e3,e1)),e3)
    | sPE(op(e0,e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2102,plain,
    ( ~ sPE(op(e0,e1),e0)
    | ~ sPE(e0,op(e4,e1))
    | sPE(op(e0,e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2103,plain,
    ~ sPE(op(e0,e1),op(e4,e1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)]) ).

cnf(g2104,plain,
    ( ~ sPE(op(e4,e1),e2)
    | ~ sPE(e2,op(e2,e2))
    | sPE(op(e4,e1),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2105,plain,
    ( ~ sPE(op(op(e2,e2),op(e2,e2)),op(e0,e0))
    | ~ sPE(op(e0,e0),e0)
    | sPE(op(op(e2,e2),op(e2,e2)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2106,plain,
    ( ~ sPE(op(op(e2,e2),op(e2,e2)),op(e0,e0))
    | sPE(op(e0,e0),op(op(e2,e2),op(e2,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2107,plain,
    ( ~ sPE(op(e1,e1),op(op(e3,e3),op(e3,e3)))
    | ~ sPE(op(op(e3,e3),op(e3,e3)),e3)
    | sPE(op(e1,e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2108,plain,
    ( ~ sPE(e1,op(e3,e3))
    | ~ sPE(e1,op(e3,e3))
    | sPE(op(e1,e1),op(op(e3,e3),op(e3,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2109,plain,
    ( ~ sPE(e1,op(e4,e2))
    | ~ sPE(op(e4,e2),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2110,plain,
    ( ~ sPE(op(op(e4,e3),op(e3,e4)),op(e4,e3))
    | ~ sPE(op(e4,e3),e4)
    | sPE(op(op(e4,e3),op(e3,e4)),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2111,plain,
    ( ~ sPE(op(op(e4,e3),op(e3,e4)),e4)
    | ~ sPE(e0,e0)
    | sPE(op(op(op(e4,e3),op(e3,e4)),e0),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2112,plain,
    ( ~ sPE(op(op(op(e4,e3),op(e3,e4)),e0),op(e4,e0))
    | ~ sPE(op(e4,e0),e0)
    | sPE(op(op(op(e4,e3),op(e3,e4)),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2113,plain,
    ( ~ sPE(e0,e0)
    | ~ sPE(op(op(e4,e3),op(e3,e4)),e4)
    | sPE(op(e0,op(op(e4,e3),op(e3,e4))),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2114,plain,
    ( ~ sPE(op(e0,op(op(e4,e3),op(e3,e4))),op(e0,e4))
    | ~ sPE(op(e0,e4),e0)
    | sPE(op(e0,op(op(e4,e3),op(e3,e4))),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2115,plain,
    ( ~ sPE(op(e0,e3),e3)
    | ~ sPE(e3,op(op(e4,e3),op(e3,e4)))
    | sPE(op(e0,e3),op(op(e4,e3),op(e3,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2116,plain,
    ( ~ sPE(op(e0,e3),op(op(e4,e3),op(e3,e4)))
    | ~ sPE(e0,e0)
    | sPE(op(op(e0,e3),e0),op(op(op(e4,e3),op(e3,e4)),e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2117,plain,
    ( ~ sPE(op(op(e0,e3),e0),op(op(op(e4,e3),op(e3,e4)),e0))
    | ~ sPE(op(op(op(e4,e3),op(e3,e4)),e0),e0)
    | sPE(op(op(e0,e3),e0),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2118,plain,
    ( ~ sPE(op(e3,e0),e1)
    | ~ sPE(e1,op(e1,e1))
    | sPE(op(e3,e0),op(e1,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2119,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e3,e4))
    | sPE(op(e2,e2),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2120,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(e0,e3))
    | sPE(op(e2,e2),op(e0,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2121,plain,
    ( ~ sPE(op(e2,e2),op(e0,e3))
    | ~ sPE(op(e0,e3),e4)
    | sPE(op(e2,e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2122,plain,
    ( ~ sPE(op(e4,e0),op(e1,e1))
    | sPE(op(e1,e1),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2123,plain,
    ( ~ sPE(e1,op(e3,e4))
    | ~ sPE(op(e3,e4),e0)
    | sPE(e1,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2124,plain,
    ( ~ sPE(op(e4,e2),op(e3,e3))
    | sPE(op(e3,e3),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2125,plain,
    ( ~ sPE(op(e4,e3),op(op(e0,e2),op(e2,e0)))
    | ~ sPE(op(op(e0,e2),op(e2,e0)),e2)
    | sPE(op(e4,e3),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2126,plain,
    ( ~ sPE(e4,op(e0,e2))
    | ~ sPE(e3,op(e2,e0))
    | sPE(op(e4,e3),op(op(e0,e2),op(e2,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2127,plain,
    ( ~ sPE(op(e1,e0),op(e3,e3))
    | sPE(op(e3,e3),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2128,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(e3,e0))
    | sPE(op(e4,e4),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2129,plain,
    ( ~ sPE(op(e4,op(e4,e0)),op(e4,e1))
    | ~ sPE(op(e4,e1),e0)
    | sPE(op(e4,op(e4,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2130,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(op(e4,e0),e1)
    | sPE(op(e4,op(e4,e0)),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2131,plain,
    ( ~ sPE(op(e4,op(e4,e0)),op(e4,e3))
    | ~ sPE(op(e4,e3),e0)
    | sPE(op(e4,op(e4,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2132,plain,
    ( ~ sPE(op(e4,e1),op(e2,e2))
    | sPE(op(e2,e2),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2133,plain,
    ( ~ sPE(op(e0,e4),e2)
    | ~ sPE(e2,op(e2,e2))
    | sPE(op(e0,e4),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2134,plain,
    ( ~ sPE(op(e2,op(e2,e1)),op(op(e3,e1),op(e1,e3)))
    | ~ sPE(op(op(e3,e1),op(e1,e3)),e1)
    | sPE(op(e2,op(e2,e1)),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2135,plain,
    ( ~ sPE(op(e2,e1),e0)
    | ~ sPE(e0,op(e1,e3))
    | sPE(op(e2,e1),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2136,plain,
    ( ~ sPE(op(op(e3,e1),op(e1,e3)),op(e2,op(e2,e1)))
    | sPE(op(e2,op(e2,e1)),op(op(e3,e1),op(e1,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2137,plain,
    ( ~ sPE(op(e3,e1),e2)
    | ~ sPE(op(e1,e3),op(e2,e1))
    | sPE(op(op(e3,e1),op(e1,e3)),op(e2,op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2138,plain,
    ( ~ sPE(op(e2,e2),op(op(e1,e2),op(e2,e1)))
    | ~ sPE(op(op(e1,e2),op(e2,e1)),op(e0,e0))
    | sPE(op(e2,e2),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2139,plain,
    ( ~ sPE(op(e0,e2),e4)
    | ~ sPE(e4,op(e4,e4))
    | sPE(op(e0,e2),op(e4,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2140,plain,
    ( ~ sPE(op(e1,e4),op(op(e0,e3),op(e3,e0)))
    | ~ sPE(op(op(e0,e3),op(e3,e0)),e3)
    | sPE(op(e1,e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2141,plain,
    ( ~ sPE(e1,op(e0,e3))
    | ~ sPE(e4,op(e3,e0))
    | sPE(op(e1,e4),op(op(e0,e3),op(e3,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2142,plain,
    ( ~ sPE(e3,op(e4,e2))
    | ~ sPE(op(e4,e2),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2143,plain,
    ( ~ sPE(op(e3,e3),op(e4,e2))
    | ~ sPE(op(e4,e2),e1)
    | sPE(op(e3,e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2144,plain,
    ( ~ sPE(e2,op(e1,e4))
    | ~ sPE(op(e1,e4),e0)
    | sPE(e2,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2145,plain,
    ( ~ sPE(op(e3,e1),e0)
    | ~ sPE(e0,op(e4,e1))
    | sPE(op(e3,e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2146,plain,
    ( ~ sPE(op(e3,e1),op(e0,e1))
    | sPE(op(e0,e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2147,plain,
    ( ~ sPE(op(e4,e4),op(e2,e0))
    | ~ sPE(op(e2,e0),e3)
    | sPE(op(e4,e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2148,plain,
    ( ~ sPE(op(e2,e0),op(e4,e4))
    | sPE(op(e4,e4),op(e2,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2149,plain,
    ( ~ sPE(op(e1,e3),e0)
    | ~ sPE(e0,op(e1,e2))
    | sPE(op(e1,e3),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2150,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e4,e0))
    | sPE(op(e1,e1),op(e4,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2151,plain,
    ( ~ sPE(op(e3,e4),e0)
    | ~ sPE(op(e4,e3),e0)
    | sPE(op(op(e3,e4),op(e4,e3)),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2152,plain,
    ( ~ sPE(op(e1,e1),op(e2,e3))
    | ~ sPE(op(e2,e3),e4)
    | sPE(op(e1,e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2153,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(op(e1,e4),e2)
    | sPE(op(e1,op(e1,e4)),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2154,plain,
    ( ~ sPE(op(e2,e2),op(e0,e1))
    | ~ sPE(op(e0,e1),e3)
    | sPE(op(e2,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2155,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(e0,e1))
    | sPE(op(e4,e4),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2156,plain,
    ( ~ sPE(op(e2,e1),e0)
    | ~ sPE(e0,op(e2,e4))
    | sPE(op(e2,e1),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2157,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(op(e1,e2),e4)
    | sPE(op(e1,op(e1,e2)),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2158,plain,
    ( ~ sPE(op(e1,op(e1,e3)),op(op(e2,e3),op(e3,e2)))
    | ~ sPE(op(op(e2,e3),op(e3,e2)),e3)
    | sPE(op(e1,op(e1,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2159,plain,
    ( ~ sPE(e1,op(e2,e3))
    | ~ sPE(op(e1,e3),op(e3,e2))
    | sPE(op(e1,op(e1,e3)),op(op(e2,e3),op(e3,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2160,plain,
    ( ~ sPE(op(e1,e3),e0)
    | ~ sPE(e0,op(e3,e2))
    | sPE(op(e1,e3),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2161,plain,
    ( ~ sPE(op(e2,e2),e2)
    | ~ sPE(e2,op(op(e4,e2),op(e2,e4)))
    | sPE(op(e2,e2),op(op(e4,e2),op(e2,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2162,plain,
    ( ~ sPE(op(e2,e2),op(op(e4,e2),op(e2,e4)))
    | ~ sPE(op(op(e4,e2),op(e2,e4)),op(e0,e0))
    | sPE(op(e2,e2),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2163,plain,
    ( ~ sPE(op(e4,e3),e0)
    | ~ sPE(e0,op(e2,e3))
    | sPE(op(e4,e3),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2164,plain,
    ( ~ sPE(op(op(e4,e1),e1),op(op(e2,e4),op(e4,e2)))
    | ~ sPE(op(op(e2,e4),op(e4,e2)),e4)
    | sPE(op(op(e4,e1),e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2165,plain,
    ( ~ sPE(op(e4,e1),op(e2,e4))
    | ~ sPE(e1,op(e4,e2))
    | sPE(op(op(e4,e1),e1),op(op(e2,e4),op(e4,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2166,plain,
    ( ~ sPE(op(e4,e1),e0)
    | ~ sPE(e0,op(e2,e4))
    | sPE(op(e4,e1),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2167,plain,
    ( ~ sPE(op(e4,e1),op(e3,e1))
    | sPE(op(e3,e1),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2168,plain,
    ( ~ sPE(op(e4,e4),e4)
    | ~ sPE(e4,op(op(e1,e4),op(e4,e1)))
    | sPE(op(e4,e4),op(op(e1,e4),op(e4,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2169,plain,
    ( ~ sPE(op(e2,e1),op(op(e4,e1),e1))
    | sPE(op(op(e4,e1),e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2170,plain,
    ( ~ sPE(e2,op(e4,e1))
    | ~ sPE(e1,e1)
    | sPE(op(e2,e1),op(op(e4,e1),e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2171,plain,
    ( ~ sPE(op(e4,e4),op(op(e3,e4),op(e4,e3)))
    | ~ sPE(op(op(e3,e4),op(e4,e3)),op(e0,e0))
    | sPE(op(e4,e4),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2172,plain,
    ( ~ sPE(op(e2,e2),op(e3,e0))
    | ~ sPE(op(e3,e0),e4)
    | sPE(op(e2,e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2173,plain,
    ( ~ sPE(op(e3,e3),op(e2,e1))
    | ~ sPE(op(e2,e1),e4)
    | sPE(op(e3,e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2174,plain,
    ( ~ sPE(op(e1,op(e1,e2)),op(op(e3,e2),op(e2,e3)))
    | ~ sPE(op(op(e3,e2),op(e2,e3)),e2)
    | sPE(op(e1,op(e1,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2175,plain,
    ( ~ sPE(e1,op(e3,e2))
    | ~ sPE(op(e1,e2),op(e2,e3))
    | sPE(op(e1,op(e1,e2)),op(op(e3,e2),op(e2,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2176,plain,
    ( ~ sPE(op(e1,e2),e0)
    | ~ sPE(e0,op(e2,e3))
    | sPE(op(e1,e2),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2177,plain,
    ( ~ sPE(op(op(e1,e2),e2),op(op(e3,e1),op(e1,e3)))
    | ~ sPE(op(op(e3,e1),op(e1,e3)),e1)
    | sPE(op(op(e1,e2),e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2178,plain,
    ( ~ sPE(op(op(e3,e1),op(e1,e3)),op(op(e1,e2),e2))
    | sPE(op(op(e1,e2),e2),op(op(e3,e1),op(e1,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2179,plain,
    ( ~ sPE(op(e3,e1),op(e1,e2))
    | ~ sPE(op(e1,e3),e2)
    | sPE(op(op(e3,e1),op(e1,e3)),op(op(e1,e2),e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2180,plain,
    ( ~ sPE(op(e4,e4),op(e2,e0))
    | ~ sPE(op(e2,e0),e1)
    | sPE(op(e4,e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2181,plain,
    ( ~ sPE(op(e2,e2),op(op(e2,e2),e2))
    | sPE(op(op(e2,e2),e2),op(e2,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2182,plain,
    ( ~ sPE(e2,op(e2,e2))
    | ~ sPE(e2,e2)
    | sPE(op(e2,e2),op(op(e2,e2),e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2183,plain,
    ( ~ sPE(op(e2,e2),op(e3,e0))
    | ~ sPE(op(e3,e0),e1)
    | sPE(op(e2,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2184,plain,
    ( ~ sPE(op(e1,e1),op(e0,e2))
    | ~ sPE(op(e0,e2),e4)
    | sPE(op(e1,e1),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2185,plain,
    ( ~ sPE(op(e1,e2),e4)
    | ~ sPE(op(e2,e1),op(e4,e2))
    | sPE(op(op(e1,e2),op(e2,e1)),op(e4,op(e4,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2186,plain,
    ( ~ sPE(op(e3,e3),op(e0,e4))
    | ~ sPE(op(e0,e4),e1)
    | sPE(op(e3,e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2187,plain,
    ( ~ sPE(op(e3,e3),op(e0,e4))
    | ~ sPE(op(e0,e4),e2)
    | sPE(op(e3,e3),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2188,plain,
    ( ~ sPE(op(e2,e2),op(op(e3,e2),op(e2,e3)))
    | ~ sPE(op(op(e3,e2),op(e2,e3)),op(e0,e0))
    | sPE(op(e2,e2),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2189,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(op(e3,e4),e2)
    | sPE(op(e3,op(e3,e4)),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2190,plain,
    ( ~ sPE(op(e1,e1),e1)
    | ~ sPE(e1,op(e3,e0))
    | sPE(op(e1,e1),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2191,plain,
    ( ~ sPE(op(e1,e1),op(e4,e0))
    | ~ sPE(op(e4,e0),e3)
    | sPE(op(e1,e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2192,plain,
    ( ~ sPE(op(e1,e1),op(e4,e0))
    | ~ sPE(op(e4,e0),e2)
    | sPE(op(e1,e1),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2193,plain,
    ( ~ sPE(op(e3,e3),op(e1,e0))
    | ~ sPE(op(e1,e0),e4)
    | sPE(op(e3,e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2194,plain,
    ( ~ sPE(op(e3,e3),op(e1,e0))
    | ~ sPE(op(e1,e0),e2)
    | sPE(op(e3,e3),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2195,plain,
    ( ~ sPE(op(e1,e4),op(e1,e0))
    | sPE(op(e1,e0),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2196,plain,
    ( ~ sPE(op(e1,e4),e2)
    | ~ sPE(e2,op(e1,e0))
    | sPE(op(e1,e4),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2197,plain,
    ( ~ sPE(op(e2,e2),op(e1,e4))
    | ~ sPE(op(e1,e4),e3)
    | sPE(op(e2,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2198,plain,
    ( ~ sPE(op(e4,e3),op(e4,e2))
    | sPE(op(e4,e2),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2199,plain,
    ( ~ sPE(op(op(e0,e4),e4),op(e1,e4))
    | ~ sPE(op(e1,e4),e0)
    | sPE(op(op(e0,e4),e4),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2200,plain,
    ( ~ sPE(op(e0,e4),e1)
    | ~ sPE(e4,e4)
    | sPE(op(op(e0,e4),e4),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2201,plain,
    ( ~ sPE(op(e4,e4),op(e0,e1))
    | ~ sPE(op(e0,e1),e3)
    | sPE(op(e4,e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2202,plain,
    ( ~ sPE(op(e4,e4),op(op(e1,e4),op(e4,e1)))
    | ~ sPE(op(op(e1,e4),op(e4,e1)),op(e0,e0))
    | sPE(op(e4,e4),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2203,plain,
    ( ~ sPE(op(e2,e2),op(e4,e1))
    | ~ sPE(op(e4,e1),e3)
    | sPE(op(e2,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2204,plain,
    ( ~ sPE(op(e1,e2),e0)
    | ~ sPE(e0,op(e4,e2))
    | sPE(op(e1,e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2205,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(op(e1,e4),e0)
    | sPE(op(e1,op(e1,e4)),op(e1,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2206,plain,
    ( ~ sPE(op(e2,op(e2,e3)),op(op(e1,e3),op(e3,e1)))
    | ~ sPE(op(op(e1,e3),op(e3,e1)),e3)
    | sPE(op(e2,op(e2,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2207,plain,
    ( ~ sPE(op(op(e1,e3),op(e3,e1)),op(e2,op(e2,e3)))
    | sPE(op(e2,op(e2,e3)),op(op(e1,e3),op(e3,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2208,plain,
    ( ~ sPE(op(e1,e3),e2)
    | ~ sPE(op(e3,e1),op(e2,e3))
    | sPE(op(op(e1,e3),op(e3,e1)),op(e2,op(e2,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2209,plain,
    ( ~ sPE(op(e2,e3),e0)
    | ~ sPE(e0,op(e3,e1))
    | sPE(op(e2,e3),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2210,plain,
    ( ~ sPE(op(e3,e2),e0)
    | ~ sPE(e0,op(e4,e2))
    | sPE(op(e3,e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2211,plain,
    ( ~ sPE(op(e1,e4),op(op(e2,e3),op(e3,e2)))
    | ~ sPE(op(op(e2,e3),op(e3,e2)),e3)
    | sPE(op(e1,e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2212,plain,
    ( ~ sPE(e1,op(e2,e3))
    | ~ sPE(e4,op(e3,e2))
    | sPE(op(e1,e4),op(op(e2,e3),op(e3,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2213,plain,
    ( ~ sPE(op(e4,e4),op(e0,e3))
    | ~ sPE(op(e0,e3),e2)
    | sPE(op(e4,e4),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2214,plain,
    ( ~ sPE(op(op(e0,e1),e1),op(e3,e1))
    | ~ sPE(op(e3,e1),e0)
    | sPE(op(op(e0,e1),e1),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2215,plain,
    ( ~ sPE(op(e0,e1),e3)
    | ~ sPE(e1,e1)
    | sPE(op(op(e0,e1),e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2216,plain,
    ( ~ sPE(op(op(e0,e1),e1),op(e2,e1))
    | ~ sPE(op(e2,e1),e0)
    | sPE(op(op(e0,e1),e1),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2217,plain,
    ( ~ sPE(e4,e4)
    | ~ sPE(op(e4,e0),e3)
    | sPE(op(e4,op(e4,e0)),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2218,plain,
    ( ~ sPE(op(e4,e3),e0)
    | ~ sPE(e0,op(e1,e3))
    | sPE(op(e4,e3),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2219,plain,
    ( ~ sPE(op(op(e0,e2),e2),op(e4,e2))
    | ~ sPE(op(e4,e2),e0)
    | sPE(op(op(e0,e2),e2),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2220,plain,
    ( ~ sPE(op(e0,e2),e4)
    | ~ sPE(e2,e2)
    | sPE(op(op(e0,e2),e2),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2221,plain,
    ( ~ sPE(op(e0,e4),op(e2,e2))
    | sPE(op(e2,e2),op(e0,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2222,plain,
    ( ~ sPE(op(e4,e4),op(e0,e2))
    | ~ sPE(op(e0,e2),e1)
    | sPE(op(e4,e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2223,plain,
    ( ~ sPE(op(e3,e3),op(e2,e4))
    | ~ sPE(op(e2,e4),e1)
    | sPE(op(e3,e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2224,plain,
    ( ~ sPE(op(e4,e4),op(e2,e3))
    | ~ sPE(op(e2,e3),e1)
    | sPE(op(e4,e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2225,plain,
    ( ~ sPE(op(e3,e1),op(e3,op(e3,e4)))
    | sPE(op(e3,op(e3,e4)),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2226,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(e1,op(e3,e4))
    | sPE(op(e3,e1),op(e3,op(e3,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2227,plain,
    ( ~ sPE(op(e3,e4),e0)
    | ~ sPE(e0,op(e2,e4))
    | sPE(op(e3,e4),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2228,plain,
    ( ~ sPE(op(e1,e1),op(op(e3,e1),op(e1,e3)))
    | ~ sPE(op(op(e3,e1),op(e1,e3)),op(e0,e0))
    | sPE(op(e1,e1),op(e0,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2229,plain,
    ( ~ sPE(op(e3,op(e3,e2)),op(e3,e4))
    | ~ sPE(op(e3,e4),e2)
    | sPE(op(e3,op(e3,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2230,plain,
    ( ~ sPE(op(e3,op(e3,e2)),op(e3,e0))
    | ~ sPE(op(e3,e0),e2)
    | sPE(op(e3,op(e3,e2)),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2231,plain,
    ( ~ sPE(op(e3,e0),op(e3,op(e3,e2)))
    | sPE(op(e3,op(e3,e2)),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2232,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(e0,op(e3,e2))
    | sPE(op(e3,e0),op(e3,op(e3,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2233,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(op(e3,e1),e4)
    | sPE(op(e3,op(e3,e1)),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2234,plain,
    ( ~ sPE(op(e3,op(e3,e0)),op(e3,e2))
    | ~ sPE(op(e3,e2),e0)
    | sPE(op(e3,op(e3,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2235,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(op(e3,e0),e2)
    | sPE(op(e3,op(e3,e0)),op(e3,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2236,plain,
    ( ~ sPE(op(op(e2,e3),e3),op(op(e1,e2),op(e2,e1)))
    | ~ sPE(op(op(e1,e2),op(e2,e1)),e2)
    | sPE(op(op(e2,e3),e3),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2237,plain,
    ( ~ sPE(op(op(e1,e2),op(e2,e1)),op(op(e2,e3),e3))
    | sPE(op(op(e2,e3),e3),op(op(e1,e2),op(e2,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2238,plain,
    ( ~ sPE(op(e1,e2),op(e2,e3))
    | ~ sPE(op(e2,e1),e3)
    | sPE(op(op(e1,e2),op(e2,e1)),op(op(e2,e3),e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2239,plain,
    ( ~ sPE(op(e3,e3),op(e4,e0))
    | ~ sPE(op(e4,e0),e2)
    | sPE(op(e3,e3),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2240,plain,
    ( ~ sPE(op(e3,e3),op(e4,e0))
    | ~ sPE(op(e4,e0),e1)
    | sPE(op(e3,e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2241,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(op(e2,e3),e4)
    | sPE(op(e2,op(e2,e3)),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2242,plain,
    ( ~ sPE(op(e2,op(e2,e0)),op(e2,e1))
    | ~ sPE(op(e2,e1),e0)
    | sPE(op(e2,op(e2,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2243,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(op(e2,e0),e1)
    | sPE(op(e2,op(e2,e0)),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2244,plain,
    ( ~ sPE(op(e2,op(e2,e0)),op(e2,e3))
    | ~ sPE(op(e2,e3),e0)
    | sPE(op(e2,op(e2,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2245,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(op(e2,e0),e3)
    | sPE(op(e2,op(e2,e0)),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2246,plain,
    ( ~ sPE(op(e2,op(e2,e0)),op(e2,e4))
    | ~ sPE(op(e2,e4),e0)
    | sPE(op(e2,op(e2,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2247,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(op(e2,e0),e4)
    | sPE(op(e2,op(e2,e0)),op(e2,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2248,plain,
    ( ~ sPE(op(e1,e2),op(e4,e4))
    | sPE(op(e4,e4),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2249,plain,
    ( ~ sPE(op(e4,e2),op(op(e3,e1),op(e1,e3)))
    | ~ sPE(op(op(e3,e1),op(e1,e3)),e1)
    | sPE(op(e4,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2250,plain,
    ( ~ sPE(e4,op(e3,e1))
    | ~ sPE(e2,op(e1,e3))
    | sPE(op(e4,e2),op(op(e3,e1),op(e1,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2251,plain,
    ( ~ sPE(op(e3,e0),op(e1,e1))
    | sPE(op(e1,e1),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2252,plain,
    ( ~ sPE(op(e1,e1),op(e0,e4))
    | ~ sPE(op(e0,e4),e3)
    | sPE(op(e1,e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2253,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(op(e1,e4),e3)
    | sPE(op(e1,op(e1,e4)),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2254,plain,
    ( ~ sPE(op(e2,op(e2,e3)),op(op(e4,e3),op(e3,e4)))
    | ~ sPE(op(op(e4,e3),op(e3,e4)),e3)
    | sPE(op(e2,op(e2,e3)),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2255,plain,
    ( ~ sPE(op(op(e4,e3),op(e3,e4)),op(e2,op(e2,e3)))
    | sPE(op(e2,op(e2,e3)),op(op(e4,e3),op(e3,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2256,plain,
    ( ~ sPE(op(e4,e3),e2)
    | ~ sPE(op(e3,e4),op(e2,e3))
    | sPE(op(op(e4,e3),op(e3,e4)),op(e2,op(e2,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2257,plain,
    ( ~ sPE(op(e2,e3),e0)
    | ~ sPE(e0,op(e3,e4))
    | sPE(op(e2,e3),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2258,plain,
    ( ~ sPE(op(e4,e0),op(op(e3,e2),op(e2,e3)))
    | ~ sPE(op(op(e3,e2),op(e2,e3)),e2)
    | sPE(op(e4,e0),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2259,plain,
    ( ~ sPE(e4,op(e3,e2))
    | ~ sPE(e0,op(e2,e3))
    | sPE(op(e4,e0),op(op(e3,e2),op(e2,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2260,plain,
    ( ~ sPE(op(e3,e4),op(e1,e4))
    | sPE(op(e1,e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2261,plain,
    ( ~ sPE(op(e1,e1),op(e4,e2))
    | ~ sPE(op(e4,e2),e3)
    | sPE(op(e1,e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2262,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(op(e3,e2),e0)
    | sPE(op(e3,op(e3,e2)),op(e3,e0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2263,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(op(e3,e2),e4)
    | sPE(op(e3,op(e3,e2)),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2264,plain,
    ( ~ sPE(e2,e2)
    | ~ sPE(op(e2,e3),e1)
    | sPE(op(e2,op(e2,e3)),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2265,plain,
    ( ~ sPE(op(e1,e3),op(op(e4,e2),op(e2,e4)))
    | ~ sPE(op(op(e4,e2),op(e2,e4)),e2)
    | sPE(op(e1,e3),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2266,plain,
    ( ~ sPE(e1,op(e4,e2))
    | ~ sPE(e3,op(e2,e4))
    | sPE(op(e1,e3),op(op(e4,e2),op(e2,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2267,plain,
    ( ~ sPE(op(e0,e2),op(e3,e3))
    | sPE(op(e3,e3),op(e0,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2268,plain,
    ( ~ sPE(op(e3,e1),op(op(e4,e1),e1))
    | sPE(op(op(e4,e1),e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2269,plain,
    ( ~ sPE(e3,op(e4,e1))
    | ~ sPE(e1,e1)
    | sPE(op(e3,e1),op(op(e4,e1),e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2270,plain,
    ( ~ sPE(op(e4,e4),op(e1,e2))
    | ~ sPE(op(e1,e2),e3)
    | sPE(op(e4,e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2271,plain,
    ( ~ sPE(op(e2,e3),op(op(e1,e4),op(e4,e1)))
    | ~ sPE(op(op(e1,e4),op(e4,e1)),e4)
    | sPE(op(e2,e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2272,plain,
    ( ~ sPE(e2,op(e1,e4))
    | ~ sPE(e3,op(e4,e1))
    | sPE(op(e2,e3),op(op(e1,e4),op(e4,e1))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2273,plain,
    ( ~ sPE(e3,op(e4,e1))
    | ~ sPE(op(e4,e1),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2274,plain,
    ( ~ sPE(op(e2,e4),e3)
    | ~ sPE(e4,e4)
    | sPE(op(op(e2,e4),e4),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2275,plain,
    ( ~ sPE(op(e0,e1),e2)
    | ~ sPE(e1,e1)
    | sPE(op(op(e0,e1),e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2276,plain,
    ( ~ sPE(op(e3,e3),op(e0,e2))
    | ~ sPE(op(e0,e2),e1)
    | sPE(op(e3,e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2277,plain,
    ( ~ sPE(op(e3,e1),e0)
    | ~ sPE(e0,op(e2,e1))
    | sPE(op(e3,e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2278,plain,
    ( ~ sPE(op(e3,op(e3,e0)),op(e3,e1))
    | ~ sPE(op(e3,e1),e0)
    | sPE(op(e3,op(e3,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2279,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(op(e3,e0),e1)
    | sPE(op(e3,op(e3,e0)),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2280,plain,
    ( ~ sPE(op(e3,e3),op(e2,e0))
    | ~ sPE(op(e2,e0),e1)
    | sPE(op(e3,e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2281,plain,
    ( ~ sPE(op(e3,e3),op(e2,e0))
    | ~ sPE(op(e2,e0),e4)
    | sPE(op(e3,e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2282,plain,
    ( ~ sPE(op(e4,e3),op(e1,e3))
    | sPE(op(e1,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2283,plain,
    ( ~ sPE(op(e3,e3),op(e0,e2))
    | ~ sPE(op(e0,e2),e4)
    | sPE(op(e3,e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2284,plain,
    ( ~ sPE(op(e2,e2),op(e4,e0))
    | ~ sPE(op(e4,e0),e3)
    | sPE(op(e2,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2285,plain,
    ( ~ sPE(op(e4,e4),op(e2,e1))
    | ~ sPE(op(e2,e1),e3)
    | sPE(op(e4,e4),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2286,plain,
    ( ~ sPE(op(e4,e0),op(op(e2,e3),op(e3,e2)))
    | ~ sPE(op(op(e2,e3),op(e3,e2)),e3)
    | sPE(op(e4,e0),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2287,plain,
    ( ~ sPE(e4,op(e2,e3))
    | ~ sPE(e0,op(e3,e2))
    | sPE(op(e4,e0),op(op(e2,e3),op(e3,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2288,plain,
    ( ~ sPE(e3,op(e1,e4))
    | ~ sPE(op(e1,e4),e0)
    | sPE(e3,e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2289,plain,
    ( ~ sPE(op(e1,e2),op(op(e0,e4),op(e4,e0)))
    | ~ sPE(op(op(e0,e4),op(e4,e0)),e4)
    | sPE(op(e1,e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2290,plain,
    ( ~ sPE(e1,op(e0,e4))
    | ~ sPE(e2,op(e4,e0))
    | sPE(op(e1,e2),op(op(e0,e4),op(e4,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2291,plain,
    ( ~ sPE(op(e1,e4),op(op(e2,e4),e4))
    | sPE(op(op(e2,e4),e4),op(e1,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2292,plain,
    ( ~ sPE(e1,op(e2,e4))
    | ~ sPE(e4,e4)
    | sPE(op(e1,e4),op(op(e2,e4),e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2293,plain,
    ( ~ sPE(op(e3,e3),op(e1,e4))
    | ~ sPE(op(e1,e4),e2)
    | sPE(op(e3,e3),e2) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2294,plain,
    ( ~ sPE(op(e1,e1),op(e0,e2))
    | ~ sPE(op(e0,e2),e3)
    | sPE(op(e1,e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2295,plain,
    ( ~ sPE(op(e2,e3),op(e2,e1))
    | sPE(op(e2,e1),op(e2,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2296,plain,
    ( ~ sPE(op(e2,e1),e0)
    | ~ sPE(e0,op(e4,e2))
    | sPE(op(e2,e1),op(e4,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2297,plain,
    ( ~ sPE(op(e2,e1),op(op(e4,e3),op(e3,e4)))
    | ~ sPE(op(op(e4,e3),op(e3,e4)),e3)
    | sPE(op(e2,e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2298,plain,
    ( ~ sPE(e2,op(e4,e3))
    | ~ sPE(e1,op(e3,e4))
    | sPE(op(e2,e1),op(op(e4,e3),op(e3,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2299,plain,
    ( ~ sPE(op(e2,e2),op(e4,e0))
    | ~ sPE(op(e4,e0),e1)
    | sPE(op(e2,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2300,plain,
    ( ~ sPE(op(e2,e2),op(e3,e1))
    | ~ sPE(op(e3,e1),e4)
    | sPE(op(e2,e2),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2301,plain,
    ( ~ sPE(op(e3,e1),e4)
    | ~ sPE(e4,op(e0,e1))
    | sPE(op(e3,e1),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2302,plain,
    ( ~ sPE(op(e3,e1),e2)
    | ~ sPE(e2,op(e0,e1))
    | sPE(op(e3,e1),op(e0,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2303,plain,
    ( ~ sPE(op(e4,e1),op(op(e0,e3),op(e3,e0)))
    | ~ sPE(op(op(e0,e3),op(e3,e0)),e3)
    | sPE(op(e4,e1),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2304,plain,
    ( ~ sPE(e4,op(e0,e3))
    | ~ sPE(e1,op(e3,e0))
    | sPE(op(e4,e1),op(op(e0,e3),op(e3,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2305,plain,
    ( ~ sPE(e1,e1)
    | ~ sPE(op(e1,e0),e3)
    | sPE(op(e1,op(e1,e0)),op(e1,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2306,plain,
    ( ~ sPE(op(e3,op(e3,e0)),op(e3,e4))
    | ~ sPE(op(e3,e4),e0)
    | sPE(op(e3,op(e3,e0)),e0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2307,plain,
    ( ~ sPE(e3,e3)
    | ~ sPE(op(e3,e0),e4)
    | sPE(op(e3,op(e3,e0)),op(e3,e4)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2308,plain,
    ( ~ sPE(op(e4,e1),e0)
    | ~ sPE(e0,op(e2,e1))
    | sPE(op(e4,e1),op(e2,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2309,plain,
    ( ~ sPE(op(e4,e1),e0)
    | ~ sPE(e0,op(e3,e1))
    | sPE(op(e4,e1),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2310,plain,
    ( ~ sPE(op(e4,e2),e0)
    | ~ sPE(e0,op(e4,e1))
    | sPE(op(e4,e2),op(e4,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2311,plain,
    ( ~ sPE(op(e4,e2),e0)
    | ~ sPE(e0,op(e1,e2))
    | sPE(op(e4,e2),op(e1,e2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2312,plain,
    ( ~ sPE(op(e1,e3),e0)
    | ~ sPE(e0,op(e4,e3))
    | sPE(op(e1,e3),op(e4,e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2313,plain,
    ( ~ sPE(op(op(e1,e3),e3),op(op(e2,e1),op(e1,e2)))
    | ~ sPE(op(op(e2,e1),op(e1,e2)),e1)
    | sPE(op(op(e1,e3),e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2314,plain,
    ( ~ sPE(op(op(e2,e1),op(e1,e2)),op(op(e1,e3),e3))
    | sPE(op(op(e1,e3),e3),op(op(e2,e1),op(e1,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2315,plain,
    ( ~ sPE(op(e2,e1),op(e1,e3))
    | ~ sPE(op(e1,e2),e3)
    | sPE(op(op(e2,e1),op(e1,e2)),op(op(e1,e3),e3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2316,plain,
    ( ~ sPE(op(e1,e3),op(op(e2,e4),op(e4,e2)))
    | ~ sPE(op(op(e2,e4),op(e4,e2)),e4)
    | sPE(op(e1,e3),e4) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2317,plain,
    ( ~ sPE(e1,op(e2,e4))
    | ~ sPE(e3,op(e4,e2))
    | sPE(op(e1,e3),op(op(e2,e4),op(e4,e2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2318,plain,
    ( ~ sPE(op(e4,e3),op(op(e0,e1),op(e1,e0)))
    | ~ sPE(op(op(e0,e1),op(e1,e0)),e1)
    | sPE(op(e4,e3),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2319,plain,
    ( ~ sPE(e4,op(e0,e1))
    | ~ sPE(e3,op(e1,e0))
    | sPE(op(e4,e3),op(op(e0,e1),op(e1,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2320,plain,
    ( ~ sPE(op(e1,e4),e0)
    | ~ sPE(e0,op(e3,e1))
    | sPE(op(e1,e4),op(e3,e1)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2321,plain,
    ( ~ sPE(op(e2,e0),op(op(e4,e1),op(e1,e4)))
    | ~ sPE(op(op(e4,e1),op(e1,e4)),e1)
    | sPE(op(e2,e0),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2322,plain,
    ( ~ sPE(e2,op(e4,e1))
    | ~ sPE(e0,op(e1,e4))
    | sPE(op(e2,e0),op(op(e4,e1),op(e1,e4))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2323,plain,
    ( ~ sPE(op(op(e1,e4),e4),op(op(e3,e1),op(e1,e3)))
    | ~ sPE(op(op(e3,e1),op(e1,e3)),e1)
    | sPE(op(op(e1,e4),e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2324,plain,
    ( ~ sPE(op(e1,e4),op(e3,e1))
    | ~ sPE(e4,op(e1,e3))
    | sPE(op(op(e1,e4),e4),op(op(e3,e1),op(e1,e3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2325,plain,
    ( ~ sPE(op(e4,e2),op(op(e0,e3),op(e3,e0)))
    | ~ sPE(op(op(e0,e3),op(e3,e0)),e3)
    | sPE(op(e4,e2),e3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2326,plain,
    ( ~ sPE(e4,op(e0,e3))
    | ~ sPE(e2,op(e3,e0))
    | sPE(op(e4,e2),op(op(e0,e3),op(e3,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2327,plain,
    ( ~ sPE(op(e2,e2),op(e4,e3))
    | ~ sPE(op(e4,e3),e1)
    | sPE(op(e2,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2328,plain,
    ( ~ sPE(op(e3,e4),op(op(e0,e1),op(e1,e0)))
    | ~ sPE(op(op(e0,e1),op(e1,e0)),e1)
    | sPE(op(e3,e4),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2329,plain,
    ( ~ sPE(e3,op(e0,e1))
    | ~ sPE(e4,op(e1,e0))
    | sPE(op(e3,e4),op(op(e0,e1),op(e1,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2330,plain,
    ( ~ sPE(op(e4,e2),op(op(e0,e1),op(e1,e0)))
    | ~ sPE(op(op(e0,e1),op(e1,e0)),e1)
    | sPE(op(e4,e2),e1) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2331,plain,
    ( ~ sPE(e4,op(e0,e1))
    | ~ sPE(e2,op(e1,e0))
    | sPE(op(e4,e2),op(op(e0,e1),op(e1,e0))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : ALG165+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.10  % Command  : satcop --statistics %s
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Wed Jun  8 19:31:37 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 221.40/28.25  % symbols: 8
% 221.40/28.25  % clauses: 226
% 221.40/28.25  % start clauses: 12
% 221.40/28.25  % iterative deepening steps: 1398
% 221.40/28.25  % maximum path limit: 3
% 221.40/28.25  % literal attempts: 1412837
% 221.40/28.25  % depth failures: 866341
% 221.40/28.25  % regularity failures: 63524
% 221.40/28.25  % tautology failures: 150386
% 221.40/28.25  % reductions: 108508
% 221.40/28.25  % extensions: 1295456
% 221.40/28.25  % SAT variables: 119271
% 221.40/28.25  % SAT clauses: 225811
% 221.40/28.25  % WalkSAT solutions: 212048
% 221.40/28.25  % CDCL solutions: 13756
% 221.40/28.25  % SZS status Theorem for theBenchmark
% 221.40/28.25  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------