CSE_E---1.7.SAT-Sat.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SYN720-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n017.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  : 300s
% DateTime : Tue May  5 05:39:59 PM UTC 2026

% Result   : Satisfiable 1.63s 1.81s
% Output   : Saturation 1.63s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_126,axiom,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).

cnf(axiom_17,axiom,
    q0(X1,d),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).

cnf(rule_125,axiom,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).

cnf(axiom_14,axiom,
    p0(b,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(rule_085,axiom,
    ( p1(X1,X1,X1)
    | ~ p0(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).

cnf(rule_133,axiom,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ s1(X3)
    | ~ m0(X4,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).

cnf(rule_082,axiom,
    ( p1(X1,X2,X3)
    | ~ m0(X3,X1,X4)
    | ~ p1(X3,X1,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_082) ).

cnf(axiom_19,axiom,
    m0(X1,d,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

cnf(axiom_12,axiom,
    m0(a,X1,a),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_12) ).

cnf(rule_024,axiom,
    ( m1(X1,a,X2)
    | ~ m0(a,X3,a)
    | ~ q0(X1,X2)
    | ~ m1(X2,c,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_024) ).

cnf(rule_014,axiom,
    ( m1(X1,X1,X1)
    | ~ m0(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_014) ).

cnf(rule_260,axiom,
    ( r3(X1,X2,X2)
    | ~ s2(X2)
    | ~ l2(c,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_260) ).

cnf(rule_189,axiom,
    ( s2(X1)
    | ~ q2(b,X1,b)
    | ~ s1(b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_189) ).

cnf(rule_124,axiom,
    ( r1(X1)
    | ~ q0(X1,X2)
    | ~ s0(d)
    | ~ q1(d,X2,d) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_124) ).

cnf(axiom_1,axiom,
    s0(d),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).

cnf(rule_110,axiom,
    ( q1(X1,X1,X1)
    | ~ m0(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_110) ).

cnf(rule_029,axiom,
    ( m1(X1,X2,X1)
    | ~ p0(X1,X2)
    | ~ s0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_029) ).

cnf(axiom_5,axiom,
    s0(b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).

cnf(rule_107,axiom,
    ( q1(e,X1,X1)
    | ~ m0(X1,d,X1)
    | ~ m0(e,d,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_107) ).

cnf(rule_071,axiom,
    ( p1(X1,X2,X1)
    | ~ l0(X3)
    | ~ p1(X2,X4,X1)
    | ~ s0(b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_071) ).

cnf(rule_181,axiom,
    ( q2(X1,X1,X1)
    | ~ p1(X1,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).

cnf(axiom_33,axiom,
    q0(d,c),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_33) ).

cnf(rule_127,axiom,
    ( k2(X1,X2)
    | ~ m1(X3,X2,X1)
    | ~ k1(X4)
    | ~ k2(X4,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_127) ).

cnf(rule_129,axiom,
    ( k2(X1,X1)
    | ~ q1(X2,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).

cnf(rule_001,axiom,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).

cnf(axiom_3,axiom,
    n0(d,e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).

cnf(rule_272,axiom,
    ( r3(X1,X2,X3)
    | ~ k2(X2,X3)
    | ~ r2(X3)
    | ~ r3(X3,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_272) ).

cnf(rule_188,axiom,
    ( r2(X1)
    | ~ r1(X1)
    | ~ l0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_188) ).

cnf(rule_187,axiom,
    ( q2(X1,X2,X1)
    | ~ r1(X2)
    | ~ m0(X3,X4,X1)
    | ~ k0(X2)
    | ~ q2(X2,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_187) ).

cnf(axiom_7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).

cnf(axiom_37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).

cnf(rule_174,axiom,
    ( p2(X1,X1,X1)
    | ~ n2(X1)
    | ~ k1(e) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_174) ).

cnf(rule_137,axiom,
    ( n2(X1)
    | ~ p1(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).

cnf(rule_063,axiom,
    ( p1(X1,X1,X2)
    | ~ n0(d,X1)
    | ~ k0(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_063) ).

cnf(axiom_24,axiom,
    l0(c),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).

cnf(rule_007,axiom,
    ( m1(X1,X2,X1)
    | ~ p0(X3,X2)
    | ~ r0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_007) ).

cnf(rule_131,axiom,
    ( l2(X1,X2)
    | ~ s1(X1)
    | ~ n0(e,X2)
    | ~ l2(X2,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_131) ).

cnf(rule_144,axiom,
    ( p2(b,c,a)
    | ~ r0(e)
    | ~ n1(c,X1,X1)
    | ~ p0(b,X1)
    | ~ k2(c,a) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_144) ).

cnf(axiom_13,axiom,
    r0(e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).

cnf(rule_059,axiom,
    ( n1(X1,X1,X2)
    | ~ m0(X3,X4,X4)
    | ~ m0(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_059) ).

cnf(axiom_28,axiom,
    k0(e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).

cnf(axiom_36,axiom,
    q0(a,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_36) ).

cnf(rule_021,axiom,
    ( m1(X1,X2,X1)
    | ~ l0(X1)
    | ~ k0(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_021) ).

cnf(axiom_32,axiom,
    k0(b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).

cnf(rule_192,axiom,
    ( k3(X1,X2,X1)
    | ~ s1(X2)
    | ~ p2(X3,X2,X4)
    | ~ n0(X1,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_192) ).

cnf(rule_240,axiom,
    ( n3(X1)
    | ~ p2(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).

cnf(rule_258,axiom,
    ( q3(X1,X1)
    | ~ r2(X1)
    | ~ s1(X2)
    | ~ l2(X3,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_258) ).

cnf(axiom_31,axiom,
    m0(b,b,e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_31) ).

cnf(axiom_26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_26) ).

cnf(rule_190,axiom,
    ( s2(d)
    | ~ s1(a)
    | ~ s0(d) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_190) ).

cnf(rule_145,axiom,
    ( p2(e,X1,X2)
    | ~ r0(e)
    | ~ p1(X1,X2,e) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_145) ).

cnf(rule_092,axiom,
    ( q1(X1,X2,X1)
    | ~ n0(X3,X2)
    | ~ p0(X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_092) ).

cnf(rule_005,axiom,
    ( m1(X1,X2,X1)
    | ~ m0(X2,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_005) ).

cnf(rule_050,axiom,
    ( n1(X1,X2,X1)
    | ~ s0(b)
    | ~ l0(X1)
    | ~ p0(b,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_050) ).

cnf(rule_201,axiom,
    ( k3(X1,X1,X2)
    | ~ p1(X2,X3,X1)
    | ~ m2(X4)
    | ~ m2(X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_201) ).

cnf(rule_136,axiom,
    ( m2(b)
    | ~ k1(b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_136) ).

cnf(rule_298,axiom,
    ( r4(X1)
    | ~ n3(X1)
    | ~ q3(X2,X3)
    | ~ p0(X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_298) ).

cnf(rule_015,axiom,
    ( m1(X1,X2,X2)
    | ~ l0(X3)
    | ~ m0(X2,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_015) ).

cnf(rule_003,axiom,
    ( l1(X1,X2)
    | ~ p0(X3,X1)
    | ~ r0(X4)
    | ~ m0(X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_003) ).

cnf(axiom_11,axiom,
    n0(e,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_11) ).

cnf(rule_034,axiom,
    ( m1(X1,X2,X2)
    | ~ k1(a)
    | ~ k1(X2)
    | ~ q0(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_034) ).

cnf(axiom_34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).

cnf(rule_177,axiom,
    ( q2(X1,X2,X2)
    | ~ k0(X2)
    | ~ p1(X1,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_177) ).

cnf(axiom_20,axiom,
    l0(a),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).

cnf(rule_159,axiom,
    ( p2(X1,X1,X1)
    | ~ k1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_159) ).

cnf(rule_236,axiom,
    ( m3(X1,X1,X1)
    | ~ n2(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_236) ).

cnf(rule_273,axiom,
    ( s3(X1,X2)
    | ~ q2(X3,X1,X3)
    | ~ s2(X1)
    | ~ m0(X3,X4,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_273) ).

cnf(axiom_35,axiom,
    m0(d,e,c),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_35) ).

cnf(rule_183,axiom,
    ( q2(X1,c,X2)
    | ~ k1(X2)
    | ~ l0(c)
    | ~ l2(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_183) ).

cnf(rule_182,axiom,
    ( q2(X1,X2,X1)
    | ~ p1(X1,X1,X3)
    | ~ n1(X2,X1,X3)
    | ~ q2(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_182) ).

cnf(rule_186,axiom,
    ( q2(X1,X1,X2)
    | ~ l1(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_186) ).

cnf(rule_069,axiom,
    ( p1(X1,X1,X2)
    | ~ p0(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_069) ).

cnf(rule_225,axiom,
    ( m3(X1,X2,X1)
    | ~ m0(X3,X3,X2)
    | ~ l2(X4,X1)
    | ~ m0(X1,X4,X4)
    | ~ s2(X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_225) ).

cnf(rule_176,axiom,
    ( p2(X1,X2,X1)
    | ~ m1(X2,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_176) ).

cnf(axiom_30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).

cnf(rule_141,axiom,
    ( p2(X1,a,X1)
    | ~ q1(X1,a,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_141) ).

cnf(rule_202,axiom,
    ( k3(X1,X1,X2)
    | ~ q0(X3,X2)
    | ~ k2(X1,X4)
    | ~ k3(X2,X5,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_202) ).

cnf(rule_054,axiom,
    ( n1(X1,X2,X2)
    | ~ l0(X3)
    | ~ l1(X3,X1)
    | ~ n1(X1,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_054) ).

cnf(rule_002,axiom,
    ( l1(X1,X1)
    | ~ n0(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).

cnf(rule_274,axiom,
    ( k4(c)
    | ~ n0(c,d)
    | ~ q3(e,b)
    | ~ n3(e) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_274) ).

cnf(axiom_27,axiom,
    m0(e,b,c),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_27) ).

cnf(axiom_18,axiom,
    p0(c,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_18) ).

cnf(rule_295,axiom,
    ( q4(X1,X2)
    | ~ k3(X3,X3,X1)
    | ~ q2(X4,X2,X1)
    | ~ m3(X4,X5,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_295) ).

cnf(rule_083,axiom,
    ( p1(X1,b,X2)
    | ~ m1(X1,X2,b)
    | ~ k0(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_083) ).

cnf(axiom_15,axiom,
    n0(a,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_15) ).

cnf(rule_155,axiom,
    ( p2(X1,X2,X2)
    | ~ k1(X3)
    | ~ p2(e,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_155) ).

cnf(rule_231,axiom,
    ( m3(X1,X2,X1)
    | ~ r2(X1)
    | ~ k2(c,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_231) ).

cnf(rule_146,axiom,
    ( p2(X1,X2,X2)
    | ~ p1(X1,X3,X4)
    | ~ l1(X3,X4)
    | ~ p2(X1,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_146) ).

cnf(axiom_9,axiom,
    r0(b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).

cnf(rule_235,axiom,
    ( m3(X1,X1,X2)
    | ~ r2(X2)
    | ~ k3(X1,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_235) ).

cnf(rule_267,axiom,
    ( r3(X1,X2,X1)
    | ~ p2(X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_267) ).

cnf(rule_284,axiom,
    ( n4(X1,X1)
    | ~ k4(X2)
    | ~ m3(X1,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_284) ).

cnf(rule_255,axiom,
    ( q3(X1,X2)
    | ~ q2(X3,X1,X2)
    | ~ n0(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_255) ).

cnf(rule_279,axiom,
    ( m4(X1,X2)
    | ~ l2(X3,X2)
    | ~ s3(a,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_279) ).

cnf(rule_016,axiom,
    ( m1(X1,X2,X2)
    | ~ m1(X3,X2,X1)
    | ~ m1(X3,X4,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_016) ).

cnf(axiom_6,axiom,
    q0(b,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_6) ).

cnf(rule_077,axiom,
    ( p1(c,e,b)
    | ~ m0(b,c,e) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_077) ).

cnf(rule_180,axiom,
    ( q2(d,a,a)
    | ~ q2(d,c,a)
    | ~ s1(c)
    | ~ q0(e,c) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_180) ).

cnf(rule_037,axiom,
    ( n1(X1,X2,X1)
    | ~ p0(X3,X1)
    | ~ l0(X2)
    | ~ r0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_037) ).

cnf(rule_135,axiom,
    ( m2(X1)
    | ~ s0(X1)
    | ~ l1(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_135) ).

cnf(rule_206,axiom,
    ( k3(X1,X2,X1)
    | ~ p2(X2,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_206) ).

cnf(rule_228,axiom,
    ( m3(X1,X2,X2)
    | ~ n2(X1)
    | ~ m2(X2)
    | ~ m3(X3,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_228) ).

cnf(rule_162,axiom,
    ( p2(b,c,c)
    | ~ p1(X1,b,b)
    | ~ n1(e,e,X1)
    | ~ q1(e,c,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_162) ).

cnf(rule_040,axiom,
    ( n1(X1,e,e)
    | ~ m0(X1,X2,e)
    | ~ k1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_040) ).

cnf(rule_320,axiom,
    ( p5(X1,X2,X1)
    | ~ q4(X2,X3)
    | ~ s1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_320) ).

cnf(rule_194,axiom,
    ( k3(X1,X1,X2)
    | ~ k2(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_194) ).

cnf(axiom_16,axiom,
    m0(c,b,a),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_16) ).

cnf(rule_268,axiom,
    ( r3(X1,X1,X2)
    | ~ m2(X2)
    | ~ m3(X3,b,X1)
    | ~ r3(X2,X4,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_268) ).

cnf(rule_039,axiom,
    ( n1(X1,c,X1)
    | ~ m0(X2,X1,c) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_039) ).

cnf(rule_230,axiom,
    ( m3(c,b,d)
    | ~ l1(d,b)
    | ~ m2(d)
    | ~ q2(b,c,d) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_230) ).

cnf(rule_234,axiom,
    ( m3(X1,e,e)
    | ~ n2(e)
    | ~ p2(X1,e,e) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_234) ).

cnf(rule_244,axiom,
    ( p3(X1,X1,X1)
    | ~ n2(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).

cnf(rule_241,axiom,
    ( p3(X1,X2,X3)
    | ~ q2(X4,d,X1)
    | ~ k2(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_241) ).

cnf(rule_113,axiom,
    ( q1(X1,X1,X2)
    | ~ r0(X3)
    | ~ m1(X1,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_113) ).

cnf(axiom_21,axiom,
    q0(b,e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_21) ).

cnf(rule_288,axiom,
    ( p4(X1,X2,X2)
    | ~ r3(X2,X2,X1)
    | ~ p4(X3,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_288) ).

cnf(rule_287,axiom,
    ( p4(X1,X2,X1)
    | ~ k3(X1,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_287) ).

cnf(rule_314,axiom,
    ( n5(X1,X1)
    | ~ r4(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_314) ).

cnf(rule_242,axiom,
    ( p3(X1,X2,X3)
    | ~ r2(X2)
    | ~ k3(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_242) ).

cnf(rule_105,axiom,
    ( q1(X1,X1,X2)
    | ~ s0(X1)
    | ~ p0(X2,d) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_105) ).

cnf(rule_257,axiom,
    ( q3(X1,X2)
    | ~ n1(X3,X1,X2)
    | ~ s2(X1)
    | ~ q3(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_257) ).

cnf(axiom_38,axiom,
    m0(b,a,a),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_38) ).

cnf(rule_251,axiom,
    ( p3(X1,X2,X2)
    | ~ m3(X2,X3,X4)
    | ~ p2(X1,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_251) ).

cnf(rule_031,axiom,
    ( m1(c,a,c)
    | ~ r0(e)
    | ~ m0(a,e,c)
    | ~ r0(X1)
    | ~ k0(e) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_031) ).

cnf(rule_011,axiom,
    ( m1(X1,X1,X2)
    | ~ k0(X1)
    | ~ n0(X2,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_011) ).

cnf(rule_004,axiom,
    ( l1(X1,X1)
    | ~ k1(X1)
    | ~ l0(X2)
    | ~ l1(X2,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_004) ).

cnf(rule_168,axiom,
    ( p2(a,c,b)
    | ~ l1(e,c)
    | ~ l2(e,b)
    | ~ r1(e)
    | ~ m1(d,a,c) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_168) ).

cnf(rule_299,axiom,
    ( s4(X1)
    | ~ p3(X2,X3,X4)
    | ~ l1(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_299) ).

cnf(rule_256,axiom,
    ( q3(X1,X1)
    | ~ p2(X2,X1,X1)
    | ~ q3(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_256) ).

cnf(rule_281,axiom,
    ( n4(X1,X2)
    | ~ p3(X1,X2,X2)
    | ~ n4(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_281) ).

cnf(rule_319,axiom,
    ( p5(X1,X2,X2)
    | ~ l2(X1,X3)
    | ~ p5(X1,X3,X1)
    | ~ m4(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_319) ).

cnf(rule_307,axiom,
    ( n5(X1,X2)
    | ~ q4(X3,X4)
    | ~ n4(X1,X4)
    | ~ p4(X5,X5,X2)
    | ~ n5(X5,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_307) ).

cnf(rule_224,axiom,
    ( l3(d,c)
    | ~ s2(d)
    | ~ k3(a,c,a)
    | ~ r0(b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_224) ).

cnf(rule_277,axiom,
    ( l4(X1)
    | ~ p3(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_277) ).

cnf(rule_303,axiom,
    ( m5(X1,X2)
    | ~ r0(X1)
    | ~ p4(X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_303) ).

cnf(rule_285,axiom,
    ( p4(X1,X1,X2)
    | ~ r0(X1)
    | ~ r3(X2,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_285) ).

cnf(rule_047,axiom,
    ( n1(X1,d,X2)
    | ~ p0(X2,X2)
    | ~ r0(X1)
    | ~ l1(X2,d) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_047) ).

cnf(rule_259,axiom,
    ( q3(X1,X1)
    | ~ m0(X2,d,X2)
    | ~ k1(X1)
    | ~ r2(d)
    | ~ q3(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_259) ).

cnf(rule_010,axiom,
    ( m1(X1,X1,c)
    | ~ n0(X2,X2)
    | ~ l1(c,c)
    | ~ p0(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_010) ).

cnf(rule_294,axiom,
    ( p4(c,c,X1)
    | ~ n3(a)
    | ~ m3(X1,c,a) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_294) ).

cnf(rule_215,axiom,
    ( l3(X1,X2)
    | ~ r0(X1)
    | ~ p2(X1,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_215) ).

cnf(rule_327,axiom,
    ( r5(X1,X2)
    | ~ s4(X1)
    | ~ k0(b)
    | ~ n3(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_327) ).

cnf(rule_254,axiom,
    ( p3(e,b,e)
    | ~ m3(e,X1,e)
    | ~ q2(X1,X1,b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_254) ).

cnf(rule_099,axiom,
    ( q1(X1,X2,X2)
    | ~ k0(X3)
    | ~ l0(X1)
    | ~ q1(X2,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_099) ).

cnf(rule_269,axiom,
    ( r3(a,a,e)
    | ~ k2(a,a)
    | ~ q2(X1,e,X1)
    | ~ m2(b)
    | ~ m3(a,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_269) ).

cnf(rule_276,axiom,
    ( k4(e)
    | ~ q3(X1,X1)
    | ~ q1(a,a,X2)
    | ~ r3(X1,e,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_276) ).

cnf(rule_109,axiom,
    ( q1(X1,X1,X2)
    | ~ p0(X3,X3)
    | ~ q0(X2,X1)
    | ~ k1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_109) ).

cnf(rule_329,axiom,
    ( s5(X1)
    | ~ l4(X1)
    | ~ r4(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_329) ).

cnf(rule_300,axiom,
    ( k5(X1)
    | ~ s4(X2)
    | ~ r3(X3,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_300) ).

cnf(rule_217,axiom,
    ( l3(X1,X1)
    | ~ n2(X1)
    | ~ m2(b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_217) ).

cnf(rule_305,axiom,
    ( m5(X1,X1)
    | ~ s4(X1)
    | ~ m4(e,e) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_305) ).

cnf(rule_156,axiom,
    ( p2(X1,e,X2)
    | ~ n1(e,X1,a)
    | ~ q1(a,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_156) ).

cnf(rule_104,axiom,
    ( q1(X1,X2,X1)
    | ~ l0(X1)
    | ~ r0(X3)
    | ~ p0(X4,X1)
    | ~ q0(X2,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_104) ).

cnf(rule_302,axiom,
    ( l5(X1)
    | ~ q4(X2,X2)
    | ~ k1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_302) ).

cnf(axiom_23,axiom,
    m0(a,e,e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_23) ).

cnf(rule_237,axiom,
    ( m3(X1,c,X1)
    | ~ s2(c)
    | ~ q2(X1,c,c) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_237) ).

cnf(rule_166,axiom,
    ( p2(a,X1,d)
    | ~ n0(X1,d)
    | ~ m1(a,X1,d) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_166) ).

cnf(rule_044,axiom,
    ( n1(X1,X2,X1)
    | ~ p0(X1,X1)
    | ~ p0(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_044) ).

cnf(rule_318,axiom,
    ( p5(X1,X1,X2)
    | ~ s4(X2)
    | ~ l2(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_318) ).

cnf(rule_108,axiom,
    ( q1(X1,X1,X1)
    | ~ p0(X2,X3)
    | ~ p1(X1,b,b)
    | ~ q0(b,b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_108) ).

cnf(rule_158,axiom,
    ( p2(X1,X1,X2)
    | ~ q1(c,X1,X3)
    | ~ s1(c)
    | ~ s0(e)
    | ~ p2(X1,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_158) ).

cnf(rule_118,axiom,
    ( q1(X1,X1,X1)
    | ~ p0(b,d)
    | ~ s0(b)
    | ~ n1(X2,d,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_118) ).

cnf(rule_065,axiom,
    ( p1(X1,X1,X1)
    | ~ l1(X2,X2)
    | ~ p0(X1,X2)
    | ~ n0(X2,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_065) ).

cnf(rule_243,axiom,
    ( p3(X1,d,e)
    | ~ l3(b,e)
    | ~ p2(d,b,c)
    | ~ n3(X1)
    | ~ q2(X1,d,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_243) ).

cnf(rule_019,axiom,
    ( m1(X1,X2,c)
    | ~ r0(c)
    | ~ s0(d)
    | ~ q0(X2,d)
    | ~ p0(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_019) ).

cnf(rule_306,axiom,
    ( m5(X1,X1)
    | ~ s4(X2)
    | ~ r0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_306) ).

cnf(rule_248,axiom,
    ( p3(X1,X1,X1)
    | ~ p2(X2,X1,X1)
    | ~ n3(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_248) ).

cnf(rule_211,axiom,
    ( k3(X1,X1,X1)
    | ~ l0(X1)
    | ~ r2(e)
    | ~ r0(e) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_211) ).

cnf(rule_079,axiom,
    ( p1(X1,X1,X1)
    | ~ k0(e)
    | ~ k1(X1)
    | ~ l0(c) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_079) ).

cnf(rule_149,axiom,
    ( p2(X1,X1,d)
    | ~ r1(a)
    | ~ m0(X2,X1,d) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_149) ).

cnf(rule_094,axiom,
    ( q1(b,e,e)
    | ~ s0(e)
    | ~ k0(b)
    | ~ l0(c) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_094) ).

cnf(rule_253,axiom,
    ( p3(b,c,b)
    | ~ k2(c,b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_253) ).

cnf(axiom_29,axiom,
    q0(d,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_29) ).

cnf(rule_291,axiom,
    ( p4(X1,X1,X1)
    | ~ p3(X2,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_291) ).

cnf(rule_324,axiom,
    ( q5(X1,X1)
    | ~ l4(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_324) ).

cnf(rule_095,axiom,
    ( q1(X1,X2,X2)
    | ~ p0(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_095) ).

cnf(rule_096,axiom,
    ( q1(X1,X1,X1)
    | ~ n1(X2,X3,X3)
    | ~ p0(X2,X4)
    | ~ m1(X1,X3,X2)
    | ~ q1(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_096) ).

cnf(rule_209,axiom,
    ( k3(X1,X1,X1)
    | ~ m2(X2)
    | ~ l1(X3,X4)
    | ~ s2(X1)
    | ~ k3(X3,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_209) ).

cnf(rule_292,axiom,
    ( p4(X1,X1,X1)
    | ~ k3(X2,X3,X3)
    | ~ n4(X1,X3)
    | ~ p1(X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_292) ).

cnf(rule_262,axiom,
    ( r3(X1,X1,X1)
    | ~ p1(X2,X3,X1)
    | ~ l2(X3,X2)
    | ~ r3(X1,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_262) ).

cnf(rule_152,axiom,
    ( p2(X1,X2,X2)
    | ~ n1(X3,X2,X3)
    | ~ p0(X1,X2)
    | ~ p2(X1,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_152) ).

cnf(rule_245,axiom,
    ( p3(X1,X1,X1)
    | ~ l1(X2,X2)
    | ~ l3(X2,X1)
    | ~ p3(X3,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_245) ).

cnf(rule_142,axiom,
    ( p2(X1,X1,X1)
    | ~ k1(X2)
    | ~ k0(X2)
    | ~ l2(a,X2)
    | ~ k2(X1,a) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_142) ).

cnf(rule_227,axiom,
    ( m3(X1,X1,X1)
    | ~ q0(X2,X3)
    | ~ s0(X4)
    | ~ s2(X3)
    | ~ r2(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_227) ).

cnf(rule_091,axiom,
    ( p1(X1,X1,X1)
    | ~ q0(X2,X3)
    | ~ k1(X4)
    | ~ n1(X2,X1,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_091) ).

cnf(rule_080,axiom,
    ( p1(X1,X1,X1)
    | ~ n0(X2,X2)
    | ~ l0(X3)
    | ~ n1(X2,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_080) ).

cnf(rule_081,axiom,
    ( p1(X1,X1,X1)
    | ~ m1(X2,X3,X1)
    | ~ q0(X3,X4)
    | ~ l0(X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_081) ).

cnf(rule_160,axiom,
    ( p2(X1,X1,X1)
    | ~ m1(a,a,X2)
    | ~ p2(a,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_160) ).

cnf(rule_185,axiom,
    ( q2(X1,X1,X1)
    | ~ n1(X2,d,X3)
    | ~ k1(X1)
    | ~ q2(X3,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_185) ).

cnf(rule_290,axiom,
    ( p4(X1,X1,X1)
    | ~ m3(X2,X3,X1)
    | ~ p4(X1,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_290) ).

cnf(rule_196,axiom,
    ( k3(X1,X1,X1)
    | ~ p2(X2,X3,X2)
    | ~ m1(X1,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_196) ).

cnf(rule_148,axiom,
    ( p2(X1,X1,X1)
    | ~ m1(X2,X3,X1)
    | ~ p2(X2,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_148) ).

cnf(rule_084,axiom,
    ( p1(X1,X1,X1)
    | ~ m0(b,X2,b)
    | ~ l1(X1,b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_084) ).

cnf(rule_178,axiom,
    ( q2(X1,X1,X1)
    | ~ q0(X2,X1)
    | ~ n1(X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_178) ).

cnf(rule_033,axiom,
    ( m1(X1,X1,X1)
    | ~ q0(X2,X2)
    | ~ m1(X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_033) ).

cnf(rule_026,axiom,
    ( m1(X1,X1,X1)
    | ~ l0(X1)
    | ~ l0(X2)
    | ~ p0(X2,d) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_026) ).

cnf(rule_064,axiom,
    ( p1(X1,X1,X1)
    | ~ m0(X2,X3,b)
    | ~ l0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_064) ).

cnf(rule_216,axiom,
    ( l3(X1,X1)
    | ~ p1(X1,X1,X2)
    | ~ p2(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_216) ).

cnf(rule_114,axiom,
    ( q1(X1,X1,X1)
    | ~ m0(X1,X1,X2)
    | ~ k0(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_114) ).

cnf(rule_086,axiom,
    ( p1(X1,X1,X1)
    | ~ l0(X1)
    | ~ m0(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_086) ).

cnf(rule_208,axiom,
    ( k3(X1,X1,X1)
    | ~ r2(c)
    | ~ l1(b,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_208) ).

cnf(rule_197,axiom,
    ( k3(X1,X1,X1)
    | ~ l2(X2,b)
    | ~ k1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_197) ).

cnf(rule_053,axiom,
    ( n1(a,X1,b)
    | ~ p0(X1,d)
    | ~ p0(a,b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_053) ).

cnf(rule_322,axiom,
    ( q5(X1,X2)
    | ~ s4(X1)
    | ~ m2(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_322) ).

cnf(rule_328,axiom,
    ( r5(X1,X1)
    | ~ k4(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_328) ).

cnf(rule_304,axiom,
    ( m5(X1,X1)
    | ~ k4(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_304) ).

cnf(c_0_206,axiom,
    ( s1(X1)
    | ~ q0(X1,X2)
    | ~ s1(X3) ),
    rule_126 ).

cnf(c_0_207,axiom,
    q0(X1,d),
    axiom_17,
    [final] ).

cnf(c_0_208,axiom,
    ( s1(X1)
    | ~ p0(X1,X1) ),
    rule_125 ).

cnf(c_0_209,axiom,
    p0(b,X1),
    axiom_14,
    [final] ).

cnf(c_0_210,plain,
    ( s1(X1)
    | ~ s1(X2) ),
    inference(spm,[status(thm)],[c_0_206,c_0_207]) ).

cnf(c_0_211,plain,
    s1(b),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_212,axiom,
    ( p1(X1,X1,X1)
    | ~ p0(X2,X1) ),
    rule_085 ).

cnf(c_0_213,axiom,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ s1(X3)
    | ~ m0(X4,X3,X1) ),
    rule_133 ).

cnf(c_0_214,plain,
    s1(X1),
    inference(spm,[status(thm)],[c_0_210,c_0_211]),
    [final] ).

cnf(c_0_215,axiom,
    ( p1(X1,X2,X3)
    | ~ m0(X3,X1,X4)
    | ~ p1(X3,X1,X4) ),
    rule_082,
    [final] ).

cnf(c_0_216,plain,
    p1(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_212,c_0_209]),
    [final] ).

cnf(c_0_217,plain,
    ( l2(X1,X1)
    | ~ p0(X2,X2)
    | ~ m0(X3,X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_214])]) ).

cnf(c_0_218,axiom,
    m0(X1,d,X2),
    axiom_19,
    [final] ).

cnf(c_0_219,plain,
    ( p1(X1,X2,X1)
    | ~ m0(X1,X1,X1) ),
    inference(spm,[status(thm)],[c_0_215,c_0_216]),
    [final] ).

cnf(c_0_220,axiom,
    m0(a,X1,a),
    axiom_12,
    [final] ).

cnf(c_0_221,plain,
    ( l2(X1,X1)
    | ~ p0(X2,X2) ),
    inference(spm,[status(thm)],[c_0_217,c_0_218]) ).

cnf(c_0_222,axiom,
    ( m1(X1,a,X2)
    | ~ m0(a,X3,a)
    | ~ q0(X1,X2)
    | ~ m1(X2,c,X2) ),
    rule_024 ).

cnf(c_0_223,axiom,
    ( m1(X1,X1,X1)
    | ~ m0(X2,X3,X1) ),
    rule_014 ).

cnf(c_0_224,plain,
    p1(a,X1,a),
    inference(spm,[status(thm)],[c_0_219,c_0_220]) ).

cnf(c_0_225,axiom,
    ( r3(X1,X2,X2)
    | ~ s2(X2)
    | ~ l2(c,X1) ),
    rule_260,
    [final] ).

cnf(c_0_226,plain,
    l2(X1,X1),
    inference(spm,[status(thm)],[c_0_221,c_0_209]),
    [final] ).

cnf(c_0_227,axiom,
    ( s2(X1)
    | ~ q2(b,X1,b)
    | ~ s1(b) ),
    rule_189 ).

cnf(c_0_228,axiom,
    ( r1(X1)
    | ~ q0(X1,X2)
    | ~ s0(d)
    | ~ q1(d,X2,d) ),
    rule_124 ).

cnf(c_0_229,axiom,
    s0(d),
    axiom_1,
    [final] ).

cnf(c_0_230,axiom,
    ( q1(X1,X1,X1)
    | ~ m0(X2,X3,X1) ),
    rule_110 ).

cnf(c_0_231,plain,
    ( m1(X1,a,X2)
    | ~ m1(X2,c,X2)
    | ~ q0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_220])]),
    [final] ).

cnf(c_0_232,plain,
    m1(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_223,c_0_218]),
    [final] ).

cnf(c_0_233,axiom,
    ( m1(X1,X2,X1)
    | ~ p0(X1,X2)
    | ~ s0(X1) ),
    rule_029,
    [final] ).

cnf(c_0_234,axiom,
    s0(b),
    axiom_5,
    [final] ).

cnf(c_0_235,axiom,
    ( q1(e,X1,X1)
    | ~ m0(X1,d,X1)
    | ~ m0(e,d,X1) ),
    rule_107 ).

cnf(c_0_236,axiom,
    ( p1(X1,X2,X1)
    | ~ l0(X3)
    | ~ p1(X2,X4,X1)
    | ~ s0(b) ),
    rule_071 ).

cnf(c_0_237,plain,
    p1(X1,X2,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_224]),c_0_220])]),
    [final] ).

cnf(c_0_238,plain,
    ( r3(c,X1,X1)
    | ~ s2(X1) ),
    inference(spm,[status(thm)],[c_0_225,c_0_226]),
    [final] ).

cnf(c_0_239,plain,
    ( s2(X1)
    | ~ q2(b,X1,b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_211])]),
    [final] ).

cnf(c_0_240,plain,
    ( r1(X1)
    | ~ q1(d,X2,d)
    | ~ q0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_229])]) ).

cnf(c_0_241,plain,
    q1(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_230,c_0_218]),
    [final] ).

cnf(c_0_242,axiom,
    ( q2(X1,X1,X1)
    | ~ p1(X1,X1,X1) ),
    rule_181 ).

cnf(c_0_243,plain,
    ( m1(X1,a,c)
    | ~ q0(X1,c) ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]),
    [final] ).

cnf(c_0_244,axiom,
    q0(d,c),
    axiom_33,
    [final] ).

cnf(c_0_245,axiom,
    ( k2(X1,X2)
    | ~ m1(X3,X2,X1)
    | ~ k1(X4)
    | ~ k2(X4,X2) ),
    rule_127,
    [final] ).

cnf(c_0_246,plain,
    m1(b,X1,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_209]),c_0_234])]),
    [final] ).

cnf(c_0_247,axiom,
    ( k2(X1,X1)
    | ~ q1(X2,X1,X1) ),
    rule_129 ).

cnf(c_0_248,plain,
    q1(e,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_218]),c_0_218])]),
    [final] ).

cnf(c_0_249,axiom,
    ( k1(X1)
    | ~ n0(X2,X1) ),
    rule_001,
    [final] ).

cnf(c_0_250,axiom,
    n0(d,e),
    axiom_3,
    [final] ).

cnf(c_0_251,plain,
    ( p1(X1,X2,X1)
    | ~ p1(X2,X3,X1)
    | ~ l0(X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_234])]),
    [final] ).

cnf(c_0_252,plain,
    ( p1(X1,X2,X3)
    | ~ m0(X3,X1,a) ),
    inference(spm,[status(thm)],[c_0_215,c_0_237]),
    [final] ).

cnf(c_0_253,axiom,
    ( r3(X1,X2,X3)
    | ~ k2(X2,X3)
    | ~ r2(X3)
    | ~ r3(X3,X1,X1) ),
    rule_272,
    [final] ).

cnf(c_0_254,plain,
    ( r3(c,X1,X1)
    | ~ q2(b,X1,b) ),
    inference(spm,[status(thm)],[c_0_238,c_0_239]),
    [final] ).

cnf(c_0_255,axiom,
    ( r2(X1)
    | ~ r1(X1)
    | ~ l0(X1) ),
    rule_188 ).

cnf(c_0_256,plain,
    r1(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_207])]),
    [final] ).

cnf(c_0_257,axiom,
    ( q2(X1,X2,X1)
    | ~ r1(X2)
    | ~ m0(X3,X4,X1)
    | ~ k0(X2)
    | ~ q2(X2,X2,X2) ),
    rule_187 ).

cnf(c_0_258,plain,
    q2(X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_216])]),
    [final] ).

cnf(c_0_259,plain,
    m1(d,a,c),
    inference(spm,[status(thm)],[c_0_243,c_0_244]),
    [final] ).

cnf(c_0_260,plain,
    ( k2(b,X1)
    | ~ k2(X2,X1)
    | ~ k1(X2) ),
    inference(spm,[status(thm)],[c_0_245,c_0_246]),
    [final] ).

cnf(c_0_261,plain,
    k2(X1,X1),
    inference(spm,[status(thm)],[c_0_247,c_0_248]),
    [final] ).

cnf(c_0_262,axiom,
    n0(d,b),
    axiom_7,
    [final] ).

cnf(c_0_263,axiom,
    n0(b,a),
    axiom_37,
    [final] ).

cnf(c_0_264,axiom,
    ( p2(X1,X1,X1)
    | ~ n2(X1)
    | ~ k1(e) ),
    rule_174 ).

cnf(c_0_265,plain,
    k1(e),
    inference(spm,[status(thm)],[c_0_249,c_0_250]),
    [final] ).

cnf(c_0_266,axiom,
    ( n2(X1)
    | ~ p1(X2,X3,X1) ),
    rule_137 ).

cnf(c_0_267,axiom,
    ( p1(X1,X1,X2)
    | ~ n0(d,X1)
    | ~ k0(X2) ),
    rule_063,
    [final] ).

cnf(c_0_268,plain,
    ( p1(X1,X2,X1)
    | ~ l0(X3)
    | ~ m0(X1,X2,a) ),
    inference(spm,[status(thm)],[c_0_251,c_0_252]),
    [final] ).

cnf(c_0_269,plain,
    ( r3(X1,X2,c)
    | ~ r2(c)
    | ~ q2(b,X1,b)
    | ~ k2(X2,c) ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_270,plain,
    ( r2(X1)
    | ~ l0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_256])]),
    [final] ).

cnf(c_0_271,axiom,
    l0(c),
    axiom_24,
    [final] ).

cnf(c_0_272,plain,
    ( q2(X1,X2,X1)
    | ~ k0(X2)
    | ~ m0(X3,X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_258]),c_0_256])]) ).

cnf(c_0_273,axiom,
    ( m1(X1,X2,X1)
    | ~ p0(X3,X2)
    | ~ r0(X1) ),
    rule_007 ).

cnf(c_0_274,axiom,
    ( l2(X1,X2)
    | ~ s1(X1)
    | ~ n0(e,X2)
    | ~ l2(X2,X2) ),
    rule_131 ).

cnf(c_0_275,axiom,
    ( p2(b,c,a)
    | ~ r0(e)
    | ~ n1(c,X1,X1)
    | ~ p0(b,X1)
    | ~ k2(c,a) ),
    rule_144 ).

cnf(c_0_276,axiom,
    r0(e),
    axiom_13,
    [final] ).

cnf(c_0_277,plain,
    ( k2(c,a)
    | ~ k2(X1,a)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_245,c_0_259]) ).

cnf(c_0_278,plain,
    ( k2(b,X1)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_260,c_0_261]),
    [final] ).

cnf(c_0_279,plain,
    k1(b),
    inference(spm,[status(thm)],[c_0_249,c_0_262]),
    [final] ).

cnf(c_0_280,plain,
    k1(a),
    inference(spm,[status(thm)],[c_0_249,c_0_263]),
    [final] ).

cnf(c_0_281,axiom,
    ( n1(X1,X1,X2)
    | ~ m0(X3,X4,X4)
    | ~ m0(X2,X3,X1) ),
    rule_059 ).

cnf(c_0_282,plain,
    ( p2(X1,X1,X1)
    | ~ n2(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_265])]) ).

cnf(c_0_283,plain,
    n2(X1),
    inference(spm,[status(thm)],[c_0_266,c_0_216]),
    [final] ).

cnf(c_0_284,plain,
    ( p1(b,b,X1)
    | ~ k0(X1) ),
    inference(spm,[status(thm)],[c_0_267,c_0_262]),
    [final] ).

cnf(c_0_285,axiom,
    k0(e),
    axiom_28,
    [final] ).

cnf(c_0_286,plain,
    ( p1(X1,d,X1)
    | ~ l0(X2) ),
    inference(spm,[status(thm)],[c_0_268,c_0_218]) ).

cnf(c_0_287,plain,
    ( r3(X1,X2,c)
    | ~ q2(b,X1,b)
    | ~ k2(X2,c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271])]),
    [final] ).

cnf(c_0_288,plain,
    ( q2(X1,X2,X1)
    | ~ k0(X2) ),
    inference(spm,[status(thm)],[c_0_272,c_0_218]),
    [final] ).

cnf(c_0_289,plain,
    ( m1(X1,X2,X1)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_273,c_0_209]),
    [final] ).

cnf(c_0_290,axiom,
    q0(a,b),
    axiom_36,
    [final] ).

cnf(c_0_291,axiom,
    ( m1(X1,X2,X1)
    | ~ l0(X1)
    | ~ k0(X2) ),
    rule_021,
    [final] ).

cnf(c_0_292,axiom,
    k0(b),
    axiom_32,
    [final] ).

cnf(c_0_293,plain,
    ( l2(X1,X2)
    | ~ l2(X2,X2)
    | ~ n0(e,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_214])]) ).

cnf(c_0_294,plain,
    ( p2(b,c,a)
    | ~ k2(c,a)
    | ~ n1(c,X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_276]),c_0_209])]) ).

cnf(c_0_295,plain,
    k2(c,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_279]),c_0_280])]),
    [final] ).

cnf(c_0_296,plain,
    ( n1(X1,X1,X2)
    | ~ m0(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_281,c_0_218]) ).

cnf(c_0_297,axiom,
    ( k3(X1,X2,X1)
    | ~ s1(X2)
    | ~ p2(X3,X2,X4)
    | ~ n0(X1,X4) ),
    rule_192 ).

cnf(c_0_298,axiom,
    ( n3(X1)
    | ~ p2(X2,X3,X1) ),
    rule_240 ).

cnf(c_0_299,plain,
    p2(X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_283])]),
    [final] ).

cnf(c_0_300,axiom,
    ( q3(X1,X1)
    | ~ r2(X1)
    | ~ s1(X2)
    | ~ l2(X3,X3) ),
    rule_258 ).

cnf(c_0_301,plain,
    p1(b,b,e),
    inference(spm,[status(thm)],[c_0_284,c_0_285]),
    [final] ).

cnf(c_0_302,axiom,
    m0(b,b,e),
    axiom_31,
    [final] ).

cnf(c_0_303,plain,
    p1(X1,d,X1),
    inference(spm,[status(thm)],[c_0_286,c_0_271]),
    [final] ).

cnf(c_0_304,axiom,
    n0(d,c),
    axiom_26,
    [final] ).

cnf(c_0_305,plain,
    ( r3(X1,X2,c)
    | ~ k2(X2,c)
    | ~ k0(X1) ),
    inference(spm,[status(thm)],[c_0_287,c_0_288]),
    [final] ).

cnf(c_0_306,plain,
    m1(e,X1,e),
    inference(spm,[status(thm)],[c_0_289,c_0_276]),
    [final] ).

cnf(c_0_307,axiom,
    ( s2(d)
    | ~ s1(a)
    | ~ s0(d) ),
    rule_190 ).

cnf(c_0_308,plain,
    ( s1(a)
    | ~ s1(X1) ),
    inference(spm,[status(thm)],[c_0_206,c_0_290]) ).

cnf(c_0_309,axiom,
    ( p2(e,X1,X2)
    | ~ r0(e)
    | ~ p1(X1,X2,e) ),
    rule_145 ).

cnf(c_0_310,plain,
    ( m1(X1,b,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_291,c_0_292]),
    [final] ).

cnf(c_0_311,plain,
    ( l2(X1,X2)
    | ~ n0(e,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_226])]),
    [final] ).

cnf(c_0_312,plain,
    ( p2(b,c,a)
    | ~ n1(c,X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_295])]) ).

cnf(c_0_313,plain,
    n1(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_296,c_0_218]),
    [final] ).

cnf(c_0_314,axiom,
    ( q1(X1,X2,X1)
    | ~ n0(X3,X2)
    | ~ p0(X4,X1) ),
    rule_092 ).

cnf(c_0_315,plain,
    ( k3(X1,X2,X1)
    | ~ p2(X3,X2,X4)
    | ~ n0(X1,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_297,c_0_214])]),
    [final] ).

cnf(c_0_316,axiom,
    ( m1(X1,X2,X1)
    | ~ m0(X2,X2,X1) ),
    rule_005,
    [final] ).

cnf(c_0_317,axiom,
    ( n1(X1,X2,X1)
    | ~ s0(b)
    | ~ l0(X1)
    | ~ p0(b,X2) ),
    rule_050 ).

cnf(c_0_318,axiom,
    ( k3(X1,X1,X2)
    | ~ p1(X2,X3,X1)
    | ~ m2(X4)
    | ~ m2(X3) ),
    rule_201,
    [final] ).

cnf(c_0_319,axiom,
    ( m2(b)
    | ~ k1(b) ),
    rule_136 ).

cnf(c_0_320,axiom,
    ( r4(X1)
    | ~ n3(X1)
    | ~ q3(X2,X3)
    | ~ p0(X4,X1) ),
    rule_298 ).

cnf(c_0_321,plain,
    n3(X1),
    inference(spm,[status(thm)],[c_0_298,c_0_299]),
    [final] ).

cnf(c_0_322,plain,
    ( q3(X1,X1)
    | ~ r2(X1)
    | ~ l2(X2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_214])]) ).

cnf(c_0_323,axiom,
    ( m1(X1,X2,X2)
    | ~ l0(X3)
    | ~ m0(X2,X2,X1) ),
    rule_015,
    [final] ).

cnf(c_0_324,plain,
    p1(b,X1,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_301]),c_0_302])]),
    [final] ).

cnf(c_0_325,plain,
    p1(d,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_303]),c_0_218])]),
    [final] ).

cnf(c_0_326,plain,
    ( p1(c,c,X1)
    | ~ k0(X1) ),
    inference(spm,[status(thm)],[c_0_267,c_0_304]),
    [final] ).

cnf(c_0_327,plain,
    ( r3(X1,c,c)
    | ~ k0(X1) ),
    inference(spm,[status(thm)],[c_0_305,c_0_261]),
    [final] ).

cnf(c_0_328,plain,
    ( k2(e,X1)
    | ~ k2(X2,X1)
    | ~ k1(X2) ),
    inference(spm,[status(thm)],[c_0_245,c_0_306]),
    [final] ).

cnf(c_0_329,plain,
    ( s2(d)
    | ~ s1(a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_229])]) ).

cnf(c_0_330,plain,
    s1(a),
    inference(spm,[status(thm)],[c_0_308,c_0_211]) ).

cnf(c_0_331,plain,
    ( p2(e,X1,X2)
    | ~ p1(X1,X2,e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_276])]),
    [final] ).

cnf(c_0_332,plain,
    m1(c,b,c),
    inference(spm,[status(thm)],[c_0_310,c_0_271]),
    [final] ).

cnf(c_0_333,axiom,
    ( l1(X1,X2)
    | ~ p0(X3,X1)
    | ~ r0(X4)
    | ~ m0(X2,X1,X3) ),
    rule_003,
    [final] ).

cnf(c_0_334,plain,
    ( r3(X1,X2,X2)
    | ~ s2(X2)
    | ~ n0(e,X1) ),
    inference(spm,[status(thm)],[c_0_225,c_0_311]),
    [final] ).

cnf(c_0_335,axiom,
    n0(e,b),
    axiom_11,
    [final] ).

cnf(c_0_336,plain,
    p2(b,c,a),
    inference(spm,[status(thm)],[c_0_312,c_0_313]),
    [final] ).

cnf(c_0_337,plain,
    ( q1(X1,X2,X1)
    | ~ n0(X3,X2) ),
    inference(spm,[status(thm)],[c_0_314,c_0_209]),
    [final] ).

cnf(c_0_338,axiom,
    ( m1(X1,X2,X2)
    | ~ k1(a)
    | ~ k1(X2)
    | ~ q0(X1,X1) ),
    rule_034 ).

cnf(c_0_339,plain,
    ( k3(X1,X2,X1)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_315,c_0_299]),
    [final] ).

cnf(c_0_340,plain,
    m1(X1,d,X1),
    inference(spm,[status(thm)],[c_0_316,c_0_218]),
    [final] ).

cnf(c_0_341,axiom,
    n0(c,d),
    axiom_34,
    [final] ).

cnf(c_0_342,axiom,
    ( q2(X1,X2,X2)
    | ~ k0(X2)
    | ~ p1(X1,X1,X1) ),
    rule_177 ).

cnf(c_0_343,plain,
    ( n1(X1,X2,X1)
    | ~ l0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_234]),c_0_209])]),
    [final] ).

cnf(c_0_344,axiom,
    l0(a),
    axiom_20,
    [final] ).

cnf(c_0_345,axiom,
    ( p2(X1,X1,X1)
    | ~ k1(X1) ),
    rule_159 ).

cnf(c_0_346,axiom,
    ( m3(X1,X1,X1)
    | ~ n2(X1) ),
    rule_236 ).

cnf(c_0_347,plain,
    ( k3(a,a,X1)
    | ~ m2(X2)
    | ~ m2(X3) ),
    inference(spm,[status(thm)],[c_0_318,c_0_237]) ).

cnf(c_0_348,plain,
    m2(b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_319,c_0_279])]),
    [final] ).

cnf(c_0_349,axiom,
    ( s3(X1,X2)
    | ~ q2(X3,X1,X3)
    | ~ s2(X1)
    | ~ m0(X3,X4,X2) ),
    rule_273 ).

cnf(c_0_350,plain,
    ( r4(X1)
    | ~ q3(X2,X3)
    | ~ p0(X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_320,c_0_321])]) ).

cnf(c_0_351,plain,
    ( q3(X1,X1)
    | ~ r2(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_322,c_0_226])]),
    [final] ).

cnf(c_0_352,plain,
    ( m1(e,b,b)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_323,c_0_302]) ).

cnf(c_0_353,plain,
    ( p1(X1,X2,b)
    | ~ m0(b,X1,b) ),
    inference(spm,[status(thm)],[c_0_215,c_0_324]),
    [final] ).

cnf(c_0_354,plain,
    ( p1(X1,X2,d)
    | ~ m0(d,X1,X3) ),
    inference(spm,[status(thm)],[c_0_215,c_0_325]),
    [final] ).

cnf(c_0_355,axiom,
    m0(d,e,c),
    axiom_35,
    [final] ).

cnf(c_0_356,plain,
    p1(c,c,e),
    inference(spm,[status(thm)],[c_0_326,c_0_285]),
    [final] ).

cnf(c_0_357,axiom,
    ( q2(X1,c,X2)
    | ~ k1(X2)
    | ~ l0(c)
    | ~ l2(X2,X1) ),
    rule_183 ).

cnf(c_0_358,plain,
    ( r3(c,X1,X2)
    | ~ r2(X2)
    | ~ k2(X1,X2)
    | ~ k0(X2) ),
    inference(spm,[status(thm)],[c_0_253,c_0_327]),
    [final] ).

cnf(c_0_359,plain,
    ( k2(e,X1)
    | ~ k1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_278]),c_0_279])]),
    [final] ).

cnf(c_0_360,axiom,
    ( q2(X1,X2,X1)
    | ~ p1(X1,X1,X3)
    | ~ n1(X2,X1,X3)
    | ~ q2(X2,X3,X1) ),
    rule_182,
    [final] ).

cnf(c_0_361,axiom,
    ( q2(X1,X1,X2)
    | ~ l1(X2,X1) ),
    rule_186,
    [final] ).

cnf(c_0_362,axiom,
    ( p1(X1,X1,X2)
    | ~ p0(X2,X1) ),
    rule_069,
    [final] ).

cnf(c_0_363,axiom,
    ( m3(X1,X2,X1)
    | ~ m0(X3,X3,X2)
    | ~ l2(X4,X1)
    | ~ m0(X1,X4,X4)
    | ~ s2(X3) ),
    rule_225 ).

cnf(c_0_364,plain,
    s2(d),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_329,c_0_330])]),
    [final] ).

cnf(c_0_365,plain,
    ( p2(e,X1,X2)
    | ~ m0(e,X1,a) ),
    inference(spm,[status(thm)],[c_0_331,c_0_252]),
    [final] ).

cnf(c_0_366,plain,
    ( k2(c,b)
    | ~ k2(X1,b)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_245,c_0_332]) ).

cnf(c_0_367,axiom,
    ( p2(X1,X2,X1)
    | ~ m1(X2,X1,X2) ),
    rule_176,
    [final] ).

cnf(c_0_368,plain,
    ( l1(d,X1)
    | ~ p0(X2,d)
    | ~ r0(X3) ),
    inference(spm,[status(thm)],[c_0_333,c_0_218]) ).

cnf(c_0_369,plain,
    ( r3(b,X1,X1)
    | ~ s2(X1) ),
    inference(spm,[status(thm)],[c_0_334,c_0_335]),
    [final] ).

cnf(c_0_370,axiom,
    n0(e,e),
    axiom_30,
    [final] ).

cnf(c_0_371,plain,
    ( k3(X1,c,X1)
    | ~ n0(X1,a) ),
    inference(spm,[status(thm)],[c_0_315,c_0_336]),
    [final] ).

cnf(c_0_372,axiom,
    ( p2(X1,a,X1)
    | ~ q1(X1,a,X1) ),
    rule_141 ).

cnf(c_0_373,plain,
    q1(X1,a,X1),
    inference(spm,[status(thm)],[c_0_337,c_0_263]),
    [final] ).

cnf(c_0_374,plain,
    ( m1(X1,e,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_291,c_0_285]),
    [final] ).

cnf(c_0_375,plain,
    ( m1(X1,X2,X2)
    | ~ k1(X2)
    | ~ q0(X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_280])]),
    [final] ).

cnf(c_0_376,axiom,
    ( k3(X1,X1,X2)
    | ~ q0(X3,X2)
    | ~ k2(X1,X4)
    | ~ k3(X2,X5,X4) ),
    rule_202 ).

cnf(c_0_377,plain,
    k3(d,c,d),
    inference(spm,[status(thm)],[c_0_339,c_0_304]),
    [final] ).

cnf(c_0_378,plain,
    ( k2(X1,d)
    | ~ k2(X2,d)
    | ~ k1(X2) ),
    inference(spm,[status(thm)],[c_0_245,c_0_340]) ).

cnf(c_0_379,plain,
    k1(d),
    inference(spm,[status(thm)],[c_0_249,c_0_341]),
    [final] ).

cnf(c_0_380,plain,
    ( q2(X1,X2,X2)
    | ~ k0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_216])]),
    [final] ).

cnf(c_0_381,axiom,
    ( n1(X1,X2,X2)
    | ~ l0(X3)
    | ~ l1(X3,X1)
    | ~ n1(X1,X2,X1) ),
    rule_054,
    [final] ).

cnf(c_0_382,plain,
    n1(a,X1,a),
    inference(spm,[status(thm)],[c_0_343,c_0_344]),
    [final] ).

cnf(c_0_383,axiom,
    ( l1(X1,X1)
    | ~ n0(X2,X1) ),
    rule_002,
    [final] ).

cnf(c_0_384,axiom,
    ( k4(c)
    | ~ n0(c,d)
    | ~ q3(e,b)
    | ~ n3(e) ),
    rule_274 ).

cnf(c_0_385,plain,
    p2(e,e,e),
    inference(spm,[status(thm)],[c_0_345,c_0_265]) ).

cnf(c_0_386,axiom,
    m0(e,b,c),
    axiom_27,
    [final] ).

cnf(c_0_387,axiom,
    p0(c,b),
    axiom_18,
    [final] ).

cnf(c_0_388,axiom,
    ( q4(X1,X2)
    | ~ k3(X3,X3,X1)
    | ~ q2(X4,X2,X1)
    | ~ m3(X4,X5,X4) ),
    rule_295 ).

cnf(c_0_389,plain,
    m3(X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_346,c_0_283])]),
    [final] ).

cnf(c_0_390,plain,
    ( k3(a,a,X1)
    | ~ m2(X2) ),
    inference(spm,[status(thm)],[c_0_347,c_0_348]) ).

cnf(c_0_391,plain,
    ( s3(X1,X2)
    | ~ s2(X1)
    | ~ m0(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_349,c_0_258]) ).

cnf(c_0_392,plain,
    ( m1(X1,a,b)
    | ~ q0(X1,b) ),
    inference(spm,[status(thm)],[c_0_231,c_0_246]),
    [final] ).

cnf(c_0_393,plain,
    ( r4(X1)
    | ~ r2(X2)
    | ~ p0(X3,X1) ),
    inference(spm,[status(thm)],[c_0_350,c_0_351]) ).

cnf(c_0_394,plain,
    ( p1(e,b,e)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_251,c_0_301]) ).

cnf(c_0_395,axiom,
    ( p1(X1,b,X2)
    | ~ m1(X1,X2,b)
    | ~ k0(X2) ),
    rule_083,
    [final] ).

cnf(c_0_396,plain,
    m1(e,b,b),
    inference(spm,[status(thm)],[c_0_352,c_0_271]),
    [final] ).

cnf(c_0_397,plain,
    ( p1(X1,X2,X3)
    | ~ m0(b,X3,b)
    | ~ m0(X3,X1,b) ),
    inference(spm,[status(thm)],[c_0_215,c_0_353]),
    [final] ).

cnf(c_0_398,plain,
    p1(e,X1,d),
    inference(spm,[status(thm)],[c_0_354,c_0_355]),
    [final] ).

cnf(c_0_399,plain,
    ( p1(e,c,e)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_251,c_0_356]) ).

cnf(c_0_400,plain,
    ( q2(X1,c,X2)
    | ~ l2(X2,X1)
    | ~ k1(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_357,c_0_271])]),
    [final] ).

cnf(c_0_401,plain,
    ( r3(c,e,X1)
    | ~ r2(X1)
    | ~ k1(X1)
    | ~ k0(X1) ),
    inference(spm,[status(thm)],[c_0_358,c_0_359]),
    [final] ).

cnf(c_0_402,plain,
    ( q2(X1,X2,X1)
    | ~ p1(X1,X1,X2)
    | ~ n1(X2,X1,X2)
    | ~ l1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_360,c_0_361]),
    [final] ).

cnf(c_0_403,plain,
    p1(X1,X1,b),
    inference(spm,[status(thm)],[c_0_362,c_0_209]),
    [final] ).

cnf(c_0_404,axiom,
    n0(a,b),
    axiom_15,
    [final] ).

cnf(c_0_405,plain,
    ( m3(X1,X2,X1)
    | ~ l2(X3,X1)
    | ~ m0(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_218]),c_0_364])]),
    [final] ).

cnf(c_0_406,axiom,
    ( p2(X1,X2,X2)
    | ~ k1(X3)
    | ~ p2(e,X1,X2) ),
    rule_155,
    [final] ).

cnf(c_0_407,plain,
    p2(e,d,X1),
    inference(spm,[status(thm)],[c_0_365,c_0_218]),
    [final] ).

cnf(c_0_408,axiom,
    ( m3(X1,X2,X1)
    | ~ r2(X1)
    | ~ k2(c,X2) ),
    rule_231,
    [final] ).

cnf(c_0_409,plain,
    k2(c,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_278]),c_0_279])]),
    [final] ).

cnf(c_0_410,axiom,
    ( p2(X1,X2,X2)
    | ~ p1(X1,X3,X4)
    | ~ l1(X3,X4)
    | ~ p2(X1,X2,X1) ),
    rule_146,
    [final] ).

cnf(c_0_411,plain,
    p2(X1,e,X1),
    inference(spm,[status(thm)],[c_0_367,c_0_306]),
    [final] ).

cnf(c_0_412,plain,
    ( l1(d,X1)
    | ~ r0(X2) ),
    inference(spm,[status(thm)],[c_0_368,c_0_209]) ).

cnf(c_0_413,axiom,
    r0(b),
    axiom_9,
    [final] ).

cnf(c_0_414,plain,
    r3(b,d,d),
    inference(spm,[status(thm)],[c_0_369,c_0_364]),
    [final] ).

cnf(c_0_415,plain,
    ( r3(e,X1,X1)
    | ~ s2(X1) ),
    inference(spm,[status(thm)],[c_0_334,c_0_370]),
    [final] ).

cnf(c_0_416,axiom,
    ( m3(X1,X1,X2)
    | ~ r2(X2)
    | ~ k3(X1,X2,X1) ),
    rule_235,
    [final] ).

cnf(c_0_417,plain,
    k3(b,c,b),
    inference(spm,[status(thm)],[c_0_371,c_0_263]),
    [final] ).

cnf(c_0_418,plain,
    k3(b,a,b),
    inference(spm,[status(thm)],[c_0_339,c_0_263]),
    [final] ).

cnf(c_0_419,plain,
    p2(X1,a,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_372,c_0_373])]),
    [final] ).

cnf(c_0_420,plain,
    m1(c,e,c),
    inference(spm,[status(thm)],[c_0_374,c_0_271]),
    [final] ).

cnf(c_0_421,plain,
    r3(c,d,d),
    inference(spm,[status(thm)],[c_0_238,c_0_364]),
    [final] ).

cnf(c_0_422,plain,
    ( m1(d,X1,X1)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_375,c_0_207]),
    [final] ).

cnf(c_0_423,axiom,
    ( r3(X1,X2,X1)
    | ~ p2(X1,X3,X2) ),
    rule_267,
    [final] ).

cnf(c_0_424,plain,
    ( k3(X1,X1,d)
    | ~ k2(X1,d) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_207])]) ).

cnf(c_0_425,plain,
    k2(X1,d),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_278]),c_0_279]),c_0_379])]),
    [final] ).

cnf(c_0_426,plain,
    ( q2(X1,X2,X1)
    | ~ n1(X2,X1,X1)
    | ~ k0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_380]),c_0_216])]),
    [final] ).

cnf(c_0_427,plain,
    ( n1(a,X1,X1)
    | ~ l1(X2,a)
    | ~ l0(X2) ),
    inference(spm,[status(thm)],[c_0_381,c_0_382]) ).

cnf(c_0_428,plain,
    l1(a,a),
    inference(spm,[status(thm)],[c_0_383,c_0_263]),
    [final] ).

cnf(c_0_429,axiom,
    ( n4(X1,X1)
    | ~ k4(X2)
    | ~ m3(X1,X1,X1) ),
    rule_284 ).

cnf(c_0_430,plain,
    ( k4(c)
    | ~ q3(e,b)
    | ~ n3(e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_384,c_0_341])]) ).

cnf(c_0_431,plain,
    n3(e),
    inference(spm,[status(thm)],[c_0_298,c_0_385]) ).

cnf(c_0_432,axiom,
    ( q3(X1,X2)
    | ~ q2(X3,X1,X2)
    | ~ n0(X3,X1) ),
    rule_255,
    [final] ).

cnf(c_0_433,plain,
    ( l1(b,e)
    | ~ r0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_386]),c_0_387])]) ).

cnf(c_0_434,plain,
    ( q4(X1,X2)
    | ~ k3(X3,X3,X1)
    | ~ q2(X4,X2,X1) ),
    inference(spm,[status(thm)],[c_0_388,c_0_389]) ).

cnf(c_0_435,plain,
    k3(a,a,X1),
    inference(spm,[status(thm)],[c_0_390,c_0_348]),
    [final] ).

cnf(c_0_436,axiom,
    ( m4(X1,X2)
    | ~ l2(X3,X2)
    | ~ s3(a,X1) ),
    rule_279 ).

cnf(c_0_437,plain,
    ( s3(X1,X2)
    | ~ s2(X1) ),
    inference(spm,[status(thm)],[c_0_391,c_0_218]),
    [final] ).

cnf(c_0_438,axiom,
    ( m1(X1,X2,X2)
    | ~ m1(X3,X2,X1)
    | ~ m1(X3,X4,X2) ),
    rule_016,
    [final] ).

cnf(c_0_439,plain,
    m1(a,a,b),
    inference(spm,[status(thm)],[c_0_392,c_0_290]),
    [final] ).

cnf(c_0_440,axiom,
    q0(b,b),
    axiom_6,
    [final] ).

cnf(c_0_441,plain,
    ( r4(X1)
    | ~ r2(X2) ),
    inference(spm,[status(thm)],[c_0_393,c_0_209]) ).

cnf(c_0_442,axiom,
    ( p1(c,e,b)
    | ~ m0(b,c,e) ),
    rule_077,
    [final] ).

cnf(c_0_443,plain,
    p1(e,b,e),
    inference(spm,[status(thm)],[c_0_394,c_0_271]),
    [final] ).

cnf(c_0_444,plain,
    p1(e,b,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_396]),c_0_292])]),
    [final] ).

cnf(c_0_445,plain,
    ( p1(X1,X2,X3)
    | ~ m0(b,X4,b)
    | ~ m0(X4,X3,b)
    | ~ m0(X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_215,c_0_397]),
    [final] ).

cnf(c_0_446,plain,
    ( p1(X1,X2,e)
    | ~ m0(e,X1,d) ),
    inference(spm,[status(thm)],[c_0_215,c_0_398]),
    [final] ).

cnf(c_0_447,plain,
    p1(e,c,e),
    inference(spm,[status(thm)],[c_0_399,c_0_271]),
    [final] ).

cnf(c_0_448,axiom,
    ( q2(d,a,a)
    | ~ q2(d,c,a)
    | ~ s1(c)
    | ~ q0(e,c) ),
    rule_180 ).

cnf(c_0_449,plain,
    ( q2(X1,c,X2)
    | ~ k1(X2)
    | ~ n0(e,X1) ),
    inference(spm,[status(thm)],[c_0_400,c_0_311]),
    [final] ).

cnf(c_0_450,plain,
    ( r3(c,e,X1)
    | ~ k1(X1)
    | ~ k0(X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_401,c_0_270]),
    [final] ).

cnf(c_0_451,axiom,
    ( n1(X1,X2,X1)
    | ~ p0(X3,X1)
    | ~ l0(X2)
    | ~ r0(X1) ),
    rule_037 ).

cnf(c_0_452,plain,
    ( q2(X1,b,X1)
    | ~ n1(b,X1,b)
    | ~ l1(X1,b) ),
    inference(spm,[status(thm)],[c_0_402,c_0_403]),
    [final] ).

cnf(c_0_453,plain,
    l1(b,b),
    inference(spm,[status(thm)],[c_0_383,c_0_404]),
    [final] ).

cnf(c_0_454,plain,
    ( m3(X1,X2,X1)
    | ~ l2(d,X1) ),
    inference(spm,[status(thm)],[c_0_405,c_0_218]),
    [final] ).

cnf(c_0_455,axiom,
    ( m2(X1)
    | ~ s0(X1)
    | ~ l1(X2,X3) ),
    rule_135 ).

cnf(c_0_456,plain,
    l1(d,d),
    inference(spm,[status(thm)],[c_0_383,c_0_341]) ).

cnf(c_0_457,axiom,
    ( k3(X1,X2,X1)
    | ~ p2(X2,X1,X1) ),
    rule_206,
    [final] ).

cnf(c_0_458,plain,
    ( p2(d,X1,X1)
    | ~ k1(X2) ),
    inference(spm,[status(thm)],[c_0_406,c_0_407]) ).

cnf(c_0_459,plain,
    k1(c),
    inference(spm,[status(thm)],[c_0_249,c_0_304]),
    [final] ).

cnf(c_0_460,plain,
    ( m3(X1,b,X1)
    | ~ r2(X1) ),
    inference(spm,[status(thm)],[c_0_408,c_0_409]),
    [final] ).

cnf(c_0_461,plain,
    ( p2(X1,e,e)
    | ~ p1(X1,X2,X3)
    | ~ l1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_410,c_0_411]) ).

cnf(c_0_462,plain,
    l1(d,X1),
    inference(spm,[status(thm)],[c_0_412,c_0_413]),
    [final] ).

cnf(c_0_463,plain,
    p2(d,X1,d),
    inference(spm,[status(thm)],[c_0_367,c_0_340]),
    [final] ).

cnf(c_0_464,plain,
    ( r3(d,X1,b)
    | ~ r2(b)
    | ~ k2(X1,b) ),
    inference(spm,[status(thm)],[c_0_253,c_0_414]),
    [final] ).

cnf(c_0_465,plain,
    r3(e,d,d),
    inference(spm,[status(thm)],[c_0_415,c_0_364]),
    [final] ).

cnf(c_0_466,plain,
    ( m3(b,b,c)
    | ~ r2(c) ),
    inference(spm,[status(thm)],[c_0_416,c_0_417]) ).

cnf(c_0_467,plain,
    ( m3(b,b,a)
    | ~ r2(a) ),
    inference(spm,[status(thm)],[c_0_416,c_0_418]) ).

cnf(c_0_468,plain,
    ( k3(X1,a,X1)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_315,c_0_419]),
    [final] ).

cnf(c_0_469,plain,
    p2(e,c,e),
    inference(spm,[status(thm)],[c_0_367,c_0_420]),
    [final] ).

cnf(c_0_470,axiom,
    ( m3(X1,X2,X2)
    | ~ n2(X1)
    | ~ m2(X2)
    | ~ m3(X3,X1,X3) ),
    rule_228 ).

cnf(c_0_471,plain,
    ( r3(d,X1,c)
    | ~ r2(c)
    | ~ k2(X1,c) ),
    inference(spm,[status(thm)],[c_0_253,c_0_421]) ).

cnf(c_0_472,plain,
    m1(d,a,a),
    inference(spm,[status(thm)],[c_0_422,c_0_280]),
    [final] ).

cnf(c_0_473,plain,
    r3(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_423,c_0_299]),
    [final] ).

cnf(c_0_474,plain,
    k3(X1,X1,d),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_424,c_0_425])]),
    [final] ).

cnf(c_0_475,axiom,
    ( p2(b,c,c)
    | ~ p1(X1,b,b)
    | ~ n1(e,e,X1)
    | ~ q1(e,c,X1) ),
    rule_162 ).

cnf(c_0_476,plain,
    ( r3(X1,X2,c)
    | ~ k2(X2,c)
    | ~ n1(X1,b,b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_426]),c_0_292])]),
    [final] ).

cnf(c_0_477,plain,
    n1(a,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_428]),c_0_344])]),
    [final] ).

cnf(c_0_478,axiom,
    ( n1(X1,e,e)
    | ~ m0(X1,X2,e)
    | ~ k1(X1) ),
    rule_040 ).

cnf(c_0_479,plain,
    ( n4(X1,X1)
    | ~ k4(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_429,c_0_389])]) ).

cnf(c_0_480,plain,
    ( k4(c)
    | ~ q3(e,b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_430,c_0_431])]) ).

cnf(c_0_481,plain,
    ( q3(X1,X2)
    | ~ l1(X2,X1)
    | ~ n0(X1,X1) ),
    inference(spm,[status(thm)],[c_0_432,c_0_361]),
    [final] ).

cnf(c_0_482,plain,
    l1(b,e),
    inference(spm,[status(thm)],[c_0_433,c_0_413]),
    [final] ).

cnf(c_0_483,plain,
    p2(X1,b,X1),
    inference(spm,[status(thm)],[c_0_367,c_0_246]),
    [final] ).

cnf(c_0_484,axiom,
    ( p5(X1,X2,X1)
    | ~ q4(X2,X3)
    | ~ s1(X1) ),
    rule_320 ).

cnf(c_0_485,plain,
    ( q4(X1,X2)
    | ~ q2(X3,X2,X1) ),
    inference(spm,[status(thm)],[c_0_434,c_0_435]),
    [final] ).

cnf(c_0_486,plain,
    ( m4(X1,X2)
    | ~ s2(a)
    | ~ l2(X3,X2) ),
    inference(spm,[status(thm)],[c_0_436,c_0_437]) ).

cnf(c_0_487,plain,
    ( m1(X1,b,b)
    | ~ m1(a,b,X1) ),
    inference(spm,[status(thm)],[c_0_438,c_0_439]),
    [final] ).

cnf(c_0_488,plain,
    m1(a,b,a),
    inference(spm,[status(thm)],[c_0_310,c_0_344]),
    [final] ).

cnf(c_0_489,plain,
    ( m1(b,X1,X1)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_375,c_0_440]),
    [final] ).

cnf(c_0_490,plain,
    ( m1(X1,d,d)
    | ~ l0(X2) ),
    inference(spm,[status(thm)],[c_0_323,c_0_218]) ).

cnf(c_0_491,axiom,
    ( k3(X1,X1,X2)
    | ~ k2(X2,X1) ),
    rule_194,
    [final] ).

cnf(c_0_492,plain,
    ( r4(X1)
    | ~ l0(X2) ),
    inference(spm,[status(thm)],[c_0_441,c_0_270]) ).

cnf(c_0_493,plain,
    p1(b,b,c),
    inference(spm,[status(thm)],[c_0_362,c_0_387]),
    [final] ).

cnf(c_0_494,plain,
    ( p1(e,X1,c)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e) ),
    inference(spm,[status(thm)],[c_0_215,c_0_442]),
    [final] ).

cnf(c_0_495,plain,
    ( p1(b,X1,e)
    | ~ m0(e,b,e) ),
    inference(spm,[status(thm)],[c_0_215,c_0_443]),
    [final] ).

cnf(c_0_496,plain,
    ( p1(b,X1,e)
    | ~ m0(e,b,b) ),
    inference(spm,[status(thm)],[c_0_215,c_0_444]),
    [final] ).

cnf(c_0_497,plain,
    ( p1(X1,X2,X3)
    | ~ m0(d,X3,b)
    | ~ m0(X3,X1,d) ),
    inference(spm,[status(thm)],[c_0_445,c_0_218]),
    [final] ).

cnf(c_0_498,plain,
    ( p1(X1,X2,X3)
    | ~ m0(e,X3,d)
    | ~ m0(X3,X1,e) ),
    inference(spm,[status(thm)],[c_0_215,c_0_446]),
    [final] ).

cnf(c_0_499,plain,
    ( p1(X1,X2,X3)
    | ~ m0(X4,X3,a)
    | ~ m0(X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_215,c_0_252]),
    [final] ).

cnf(c_0_500,axiom,
    m0(c,b,a),
    axiom_16,
    [final] ).

cnf(c_0_501,plain,
    ( p1(c,X1,e)
    | ~ m0(e,c,e) ),
    inference(spm,[status(thm)],[c_0_215,c_0_447]),
    [final] ).

cnf(c_0_502,plain,
    ( p1(c,X1,c)
    | ~ m0(c,c,e) ),
    inference(spm,[status(thm)],[c_0_215,c_0_356]),
    [final] ).

cnf(c_0_503,plain,
    ( q2(d,a,a)
    | ~ q2(d,c,a)
    | ~ q0(e,c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_448,c_0_214])]),
    [final] ).

cnf(c_0_504,plain,
    ( q2(X1,X2,X1)
    | ~ p1(X1,X1,c)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ n0(e,X2) ),
    inference(spm,[status(thm)],[c_0_360,c_0_449]),
    [final] ).

cnf(c_0_505,plain,
    ( r3(e,X1,c)
    | ~ r2(c)
    | ~ k2(X1,c)
    | ~ l0(e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_450]),c_0_265]),c_0_285])]) ).

cnf(c_0_506,plain,
    ( n1(b,X1,b)
    | ~ l0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_387]),c_0_413])]),
    [final] ).

cnf(c_0_507,plain,
    m1(a,e,a),
    inference(spm,[status(thm)],[c_0_374,c_0_344]),
    [final] ).

cnf(c_0_508,plain,
    ( k2(c,e)
    | ~ k2(X1,e)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_245,c_0_420]) ).

cnf(c_0_509,plain,
    ( r3(b,X1,c)
    | ~ k2(X1,c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_452]),c_0_313]),c_0_453])]),
    [final] ).

cnf(c_0_510,axiom,
    ( r3(X1,X1,X2)
    | ~ m2(X2)
    | ~ m3(X3,b,X1)
    | ~ r3(X2,X4,X4) ),
    rule_268,
    [final] ).

cnf(c_0_511,plain,
    ( m3(X1,X2,X1)
    | ~ n0(e,X1) ),
    inference(spm,[status(thm)],[c_0_454,c_0_311]),
    [final] ).

cnf(c_0_512,axiom,
    ( n1(X1,c,X1)
    | ~ m0(X2,X1,c) ),
    rule_039,
    [final] ).

cnf(c_0_513,axiom,
    ( m3(c,b,d)
    | ~ l1(d,b)
    | ~ m2(d)
    | ~ q2(b,c,d) ),
    rule_230 ).

cnf(c_0_514,plain,
    ( m2(X1)
    | ~ s0(X1) ),
    inference(spm,[status(thm)],[c_0_455,c_0_456]),
    [final] ).

cnf(c_0_515,plain,
    ( m3(X1,X1,X2)
    | ~ r2(X2)
    | ~ p2(X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_416,c_0_457]),
    [final] ).

cnf(c_0_516,plain,
    p2(d,X1,X1),
    inference(spm,[status(thm)],[c_0_458,c_0_459]),
    [final] ).

cnf(c_0_517,plain,
    n1(c,X1,c),
    inference(spm,[status(thm)],[c_0_343,c_0_271]),
    [final] ).

cnf(c_0_518,plain,
    ( m3(X1,b,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_460,c_0_270]),
    [final] ).

cnf(c_0_519,plain,
    p2(X1,e,e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_303]),c_0_462])]),
    [final] ).

cnf(c_0_520,plain,
    ( k3(X1,X2,X1)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_315,c_0_463]),
    [final] ).

cnf(c_0_521,plain,
    ( r3(d,X1,b)
    | ~ k2(X1,b)
    | ~ l0(b) ),
    inference(spm,[status(thm)],[c_0_464,c_0_270]),
    [final] ).

cnf(c_0_522,plain,
    ( r3(d,X1,e)
    | ~ r2(e)
    | ~ k2(X1,e) ),
    inference(spm,[status(thm)],[c_0_253,c_0_465]),
    [final] ).

cnf(c_0_523,plain,
    m3(b,b,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_270]),c_0_271])]),
    [final] ).

cnf(c_0_524,plain,
    m3(b,b,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_270]),c_0_344])]),
    [final] ).

cnf(c_0_525,plain,
    ( p2(X1,a,a)
    | ~ p1(X1,X2,X3)
    | ~ l1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_410,c_0_419]) ).

cnf(c_0_526,plain,
    k3(d,a,d),
    inference(spm,[status(thm)],[c_0_468,c_0_304]),
    [final] ).

cnf(c_0_527,plain,
    ( n1(X1,X2,X1)
    | ~ l0(X2)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_451,c_0_209]),
    [final] ).

cnf(c_0_528,plain,
    ( p2(c,e,e)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_406,c_0_469]) ).

cnf(c_0_529,axiom,
    ( m3(X1,e,e)
    | ~ n2(e)
    | ~ p2(X1,e,e) ),
    rule_234 ).

cnf(c_0_530,plain,
    ( m3(X1,X2,X2)
    | ~ m3(X3,X1,X3)
    | ~ m2(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_470,c_0_283])]) ).

cnf(c_0_531,plain,
    ( r3(d,X1,c)
    | ~ k2(X1,c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_270]),c_0_271])]),
    [final] ).

cnf(c_0_532,plain,
    ( m1(X1,a,a)
    | ~ m1(d,a,X1) ),
    inference(spm,[status(thm)],[c_0_438,c_0_472]),
    [final] ).

cnf(c_0_533,plain,
    ( r3(X1,X2,X1)
    | ~ r2(X1)
    | ~ k2(X2,X1) ),
    inference(spm,[status(thm)],[c_0_253,c_0_473]),
    [final] ).

cnf(c_0_534,plain,
    ( k3(X1,X1,X2)
    | ~ q0(X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_474]),c_0_425])]),
    [final] ).

cnf(c_0_535,plain,
    ( p2(b,c,c)
    | ~ q1(e,c,X1)
    | ~ p1(X1,b,b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_475,c_0_313])]) ).

cnf(c_0_536,plain,
    q1(X1,c,X1),
    inference(spm,[status(thm)],[c_0_337,c_0_304]),
    [final] ).

cnf(c_0_537,axiom,
    ( p3(X1,X1,X1)
    | ~ n2(X1) ),
    rule_244 ).

cnf(c_0_538,plain,
    ( r3(a,X1,c)
    | ~ k2(X1,c) ),
    inference(spm,[status(thm)],[c_0_476,c_0_477]),
    [final] ).

cnf(c_0_539,axiom,
    ( p3(X1,X2,X3)
    | ~ q2(X4,d,X1)
    | ~ k2(X2,X3) ),
    rule_241,
    [final] ).

cnf(c_0_540,plain,
    ( n1(X1,e,e)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_478,c_0_218]),
    [final] ).

cnf(c_0_541,plain,
    ( n4(X1,X1)
    | ~ q3(e,b) ),
    inference(spm,[status(thm)],[c_0_479,c_0_480]) ).

cnf(c_0_542,plain,
    q3(e,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_482]),c_0_370])]),
    [final] ).

cnf(c_0_543,plain,
    ( p2(X1,b,b)
    | ~ p1(X1,X2,X3)
    | ~ l1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_410,c_0_483]) ).

cnf(c_0_544,plain,
    ( p5(X1,X2,X1)
    | ~ q4(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_484,c_0_214])]) ).

cnf(c_0_545,plain,
    q4(X1,X1),
    inference(spm,[status(thm)],[c_0_485,c_0_258]),
    [final] ).

cnf(c_0_546,plain,
    ( m4(X1,X2)
    | ~ q2(b,a,b)
    | ~ l2(X3,X2) ),
    inference(spm,[status(thm)],[c_0_486,c_0_239]) ).

cnf(c_0_547,axiom,
    ( q1(X1,X1,X2)
    | ~ r0(X3)
    | ~ m1(X1,X2,X2) ),
    rule_113,
    [final] ).

cnf(c_0_548,plain,
    m1(a,b,b),
    inference(spm,[status(thm)],[c_0_487,c_0_488]),
    [final] ).

cnf(c_0_549,plain,
    ( q2(d,X1,d)
    | ~ n1(X1,d,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_325]),c_0_462])]),
    [final] ).

cnf(c_0_550,plain,
    m1(b,a,a),
    inference(spm,[status(thm)],[c_0_489,c_0_280]),
    [final] ).

cnf(c_0_551,plain,
    ( m1(X1,a,e)
    | ~ q0(X1,e) ),
    inference(spm,[status(thm)],[c_0_231,c_0_306]),
    [final] ).

cnf(c_0_552,axiom,
    q0(b,e),
    axiom_21,
    [final] ).

cnf(c_0_553,plain,
    m1(X1,d,d),
    inference(spm,[status(thm)],[c_0_490,c_0_271]),
    [final] ).

cnf(c_0_554,axiom,
    ( p4(X1,X2,X2)
    | ~ r3(X2,X2,X1)
    | ~ p4(X3,X3,X4) ),
    rule_288 ).

cnf(c_0_555,axiom,
    ( p4(X1,X2,X1)
    | ~ k3(X1,X1,X2) ),
    rule_287,
    [final] ).

cnf(c_0_556,plain,
    k3(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_491,c_0_261]),
    [final] ).

cnf(c_0_557,axiom,
    ( n5(X1,X1)
    | ~ r4(X1) ),
    rule_314 ).

cnf(c_0_558,plain,
    r4(X1),
    inference(spm,[status(thm)],[c_0_492,c_0_271]),
    [final] ).

cnf(c_0_559,axiom,
    ( p3(X1,X2,X3)
    | ~ r2(X2)
    | ~ k3(X2,X3,X1) ),
    rule_242,
    [final] ).

cnf(c_0_560,plain,
    p2(b,c,b),
    inference(spm,[status(thm)],[c_0_367,c_0_332]),
    [final] ).

cnf(c_0_561,plain,
    ( k3(c,c,b)
    | ~ m2(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_493]),c_0_348])]) ).

cnf(c_0_562,axiom,
    ( q1(X1,X1,X2)
    | ~ s0(X1)
    | ~ p0(X2,d) ),
    rule_105,
    [final] ).

cnf(c_0_563,plain,
    ( p1(X1,X2,e)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,X1,c) ),
    inference(spm,[status(thm)],[c_0_215,c_0_494]),
    [final] ).

cnf(c_0_564,plain,
    ( p1(X1,X2,b)
    | ~ m0(e,b,e)
    | ~ m0(b,X1,e) ),
    inference(spm,[status(thm)],[c_0_215,c_0_495]),
    [final] ).

cnf(c_0_565,plain,
    ( p1(X1,X2,b)
    | ~ m0(e,b,b)
    | ~ m0(b,X1,e) ),
    inference(spm,[status(thm)],[c_0_215,c_0_496]),
    [final] ).

cnf(c_0_566,plain,
    ( p1(X1,X2,X3)
    | ~ m0(d,X4,b)
    | ~ m0(X4,X3,d)
    | ~ m0(X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_215,c_0_497]),
    [final] ).

cnf(c_0_567,plain,
    ( p1(X1,X2,X3)
    | ~ m0(e,X4,d)
    | ~ m0(X4,X3,e)
    | ~ m0(X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_215,c_0_498]),
    [final] ).

cnf(c_0_568,plain,
    ( p1(X1,X2,b)
    | ~ m0(b,X1,c) ),
    inference(spm,[status(thm)],[c_0_499,c_0_500]),
    [final] ).

cnf(c_0_569,plain,
    ( q2(X1,X2,X1)
    | ~ n1(X2,X1,X2)
    | ~ l1(X1,X2)
    | ~ m0(d,X2,b)
    | ~ m0(X2,X1,d) ),
    inference(spm,[status(thm)],[c_0_402,c_0_497]),
    [final] ).

cnf(c_0_570,plain,
    ( q2(X1,X2,X1)
    | ~ n1(X2,X1,X2)
    | ~ l1(X1,X2)
    | ~ m0(e,X2,d)
    | ~ m0(X2,X1,e) ),
    inference(spm,[status(thm)],[c_0_402,c_0_498]),
    [final] ).

cnf(c_0_571,plain,
    ( q2(X1,X2,X1)
    | ~ n1(X2,X1,X2)
    | ~ l1(X1,X2)
    | ~ m0(b,X2,b)
    | ~ m0(X2,X1,b) ),
    inference(spm,[status(thm)],[c_0_402,c_0_397]),
    [final] ).

cnf(c_0_572,plain,
    ( p1(X1,X2,c)
    | ~ m0(e,c,e)
    | ~ m0(c,X1,e) ),
    inference(spm,[status(thm)],[c_0_215,c_0_501]),
    [final] ).

cnf(c_0_573,plain,
    ( p1(X1,X2,c)
    | ~ m0(c,c,e)
    | ~ m0(c,X1,c) ),
    inference(spm,[status(thm)],[c_0_215,c_0_502]),
    [final] ).

cnf(c_0_574,plain,
    ( q2(a,d,a)
    | ~ q2(d,c,a)
    | ~ n1(d,a,a)
    | ~ q0(e,c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_503]),c_0_216])]),
    [final] ).

cnf(c_0_575,axiom,
    ( q3(X1,X2)
    | ~ n1(X3,X1,X2)
    | ~ s2(X1)
    | ~ q3(X2,X1) ),
    rule_257 ).

cnf(c_0_576,plain,
    ( q3(X1,X2)
    | ~ p1(X2,X2,c)
    | ~ n1(X1,X2,c)
    | ~ k1(X2)
    | ~ n0(e,X1)
    | ~ n0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_432,c_0_504]),
    [final] ).

cnf(c_0_577,plain,
    ( q2(b,e,b)
    | ~ n1(e,b,e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_301]),c_0_482])]),
    [final] ).

cnf(c_0_578,plain,
    ( r3(e,X1,c)
    | ~ k2(X1,c)
    | ~ l0(e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_270]),c_0_271])]),
    [final] ).

cnf(c_0_579,plain,
    ( q2(X1,X2,X1)
    | ~ n1(X2,X1,X2)
    | ~ l1(X1,X2)
    | ~ m0(X2,X1,a) ),
    inference(spm,[status(thm)],[c_0_402,c_0_252]),
    [final] ).

cnf(c_0_580,axiom,
    m0(b,a,a),
    axiom_38,
    [final] ).

cnf(c_0_581,plain,
    n1(b,a,b),
    inference(spm,[status(thm)],[c_0_506,c_0_344]),
    [final] ).

cnf(c_0_582,plain,
    ( k2(a,e)
    | ~ k2(X1,e)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_245,c_0_507]) ).

cnf(c_0_583,plain,
    k2(c,e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_278]),c_0_279]),c_0_265])]),
    [final] ).

cnf(c_0_584,plain,
    r3(b,c,c),
    inference(spm,[status(thm)],[c_0_509,c_0_261]),
    [final] ).

cnf(c_0_585,plain,
    ( r3(X1,X1,X2)
    | ~ r3(X2,X3,X3)
    | ~ m2(X2)
    | ~ n0(e,X1) ),
    inference(spm,[status(thm)],[c_0_510,c_0_511]) ).

cnf(c_0_586,plain,
    n1(e,c,e),
    inference(spm,[status(thm)],[c_0_512,c_0_355]),
    [final] ).

cnf(c_0_587,plain,
    ( m3(c,b,d)
    | ~ q2(b,c,d)
    | ~ l1(d,b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_514]),c_0_229])]) ).

cnf(c_0_588,plain,
    ( m3(X1,X1,d)
    | ~ r2(d) ),
    inference(spm,[status(thm)],[c_0_515,c_0_516]),
    [final] ).

cnf(c_0_589,plain,
    ( n1(c,X1,X1)
    | ~ l1(X2,c)
    | ~ l0(X2) ),
    inference(spm,[status(thm)],[c_0_381,c_0_517]) ).

cnf(c_0_590,plain,
    l1(c,c),
    inference(spm,[status(thm)],[c_0_383,c_0_304]),
    [final] ).

cnf(c_0_591,plain,
    ( r3(X1,X1,X2)
    | ~ r3(X2,X3,X3)
    | ~ m2(X2)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_510,c_0_518]) ).

cnf(c_0_592,plain,
    ( m3(e,e,X1)
    | ~ r2(X1) ),
    inference(spm,[status(thm)],[c_0_515,c_0_519]),
    [final] ).

cnf(c_0_593,plain,
    k3(c,X1,c),
    inference(spm,[status(thm)],[c_0_520,c_0_341]),
    [final] ).

cnf(c_0_594,plain,
    ( r3(d,b,b)
    | ~ l0(b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_521,c_0_278]),c_0_279])]),
    [final] ).

cnf(c_0_595,plain,
    ( r3(d,X1,e)
    | ~ k2(X1,e)
    | ~ l0(e) ),
    inference(spm,[status(thm)],[c_0_522,c_0_270]),
    [final] ).

cnf(c_0_596,plain,
    m3(d,X1,d),
    inference(spm,[status(thm)],[c_0_454,c_0_226]),
    [final] ).

cnf(c_0_597,plain,
    ( r3(c,c,X1)
    | ~ r3(X1,X2,X2)
    | ~ m2(X1) ),
    inference(spm,[status(thm)],[c_0_510,c_0_523]) ).

cnf(c_0_598,plain,
    ( r3(a,a,X1)
    | ~ r3(X1,X2,X2)
    | ~ m2(X1) ),
    inference(spm,[status(thm)],[c_0_510,c_0_524]) ).

cnf(c_0_599,plain,
    p2(X1,a,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_303]),c_0_462])]),
    [final] ).

cnf(c_0_600,plain,
    ( m3(d,d,a)
    | ~ r2(a) ),
    inference(spm,[status(thm)],[c_0_416,c_0_526]) ).

cnf(c_0_601,plain,
    k3(e,a,e),
    inference(spm,[status(thm)],[c_0_468,c_0_335]),
    [final] ).

cnf(c_0_602,plain,
    ( n1(X1,a,X1)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_527,c_0_344]),
    [final] ).

cnf(c_0_603,plain,
    p2(c,e,e),
    inference(spm,[status(thm)],[c_0_528,c_0_459]) ).

cnf(c_0_604,plain,
    ( m3(d,d,c)
    | ~ r2(c) ),
    inference(spm,[status(thm)],[c_0_416,c_0_377]) ).

cnf(c_0_605,axiom,
    ( p3(X1,X2,X2)
    | ~ m3(X2,X3,X4)
    | ~ p2(X1,X2,X4) ),
    rule_251,
    [final] ).

cnf(c_0_606,plain,
    ( m3(X1,e,e)
    | ~ p2(X1,e,e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_529,c_0_283])]) ).

cnf(c_0_607,plain,
    ( m3(X1,X2,X2)
    | ~ m2(X2) ),
    inference(spm,[status(thm)],[c_0_530,c_0_389]),
    [final] ).

cnf(c_0_608,plain,
    r3(d,c,c),
    inference(spm,[status(thm)],[c_0_531,c_0_261]),
    [final] ).

cnf(c_0_609,axiom,
    ( m1(c,a,c)
    | ~ r0(e)
    | ~ m0(a,e,c)
    | ~ r0(X1)
    | ~ k0(e) ),
    rule_031 ).

cnf(c_0_610,plain,
    m1(c,a,a),
    inference(spm,[status(thm)],[c_0_532,c_0_259]),
    [final] ).

cnf(c_0_611,plain,
    ( r3(b,b,X1)
    | ~ r3(X1,X2,X2)
    | ~ m2(X1) ),
    inference(spm,[status(thm)],[c_0_510,c_0_389]) ).

cnf(c_0_612,axiom,
    ( m1(X1,X1,X2)
    | ~ k0(X1)
    | ~ n0(X2,X2) ),
    rule_011,
    [final] ).

cnf(c_0_613,axiom,
    ( l1(X1,X1)
    | ~ k1(X1)
    | ~ l0(X2)
    | ~ l1(X2,X2) ),
    rule_004 ).

cnf(c_0_614,plain,
    ( r3(a,c,a)
    | ~ r2(a) ),
    inference(spm,[status(thm)],[c_0_533,c_0_295]) ).

cnf(c_0_615,plain,
    k3(d,d,X1),
    inference(spm,[status(thm)],[c_0_491,c_0_425]),
    [final] ).

cnf(c_0_616,plain,
    k3(X1,X1,c),
    inference(spm,[status(thm)],[c_0_534,c_0_244]),
    [final] ).

cnf(c_0_617,plain,
    k3(X1,X1,b),
    inference(spm,[status(thm)],[c_0_534,c_0_440]),
    [final] ).

cnf(c_0_618,plain,
    p2(b,c,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_444]),c_0_536])]),
    [final] ).

cnf(c_0_619,axiom,
    ( p2(a,c,b)
    | ~ l1(e,c)
    | ~ l2(e,b)
    | ~ r1(e)
    | ~ m1(d,a,c) ),
    rule_168 ).

cnf(c_0_620,plain,
    p2(a,a,a),
    inference(spm,[status(thm)],[c_0_345,c_0_280]) ).

cnf(c_0_621,plain,
    m1(e,b,e),
    inference(spm,[status(thm)],[c_0_316,c_0_302]) ).

cnf(c_0_622,axiom,
    ( s4(X1)
    | ~ p3(X2,X3,X4)
    | ~ l1(X1,X3) ),
    rule_299 ).

cnf(c_0_623,plain,
    p3(X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_537,c_0_283])]),
    [final] ).

cnf(c_0_624,plain,
    r3(a,c,c),
    inference(spm,[status(thm)],[c_0_538,c_0_261]),
    [final] ).

cnf(c_0_625,plain,
    ( p3(X1,X2,X3)
    | ~ k2(X2,X3)
    | ~ n1(d,X1,X1)
    | ~ k0(X1) ),
    inference(spm,[status(thm)],[c_0_539,c_0_426]),
    [final] ).

cnf(c_0_626,plain,
    n1(d,e,e),
    inference(spm,[status(thm)],[c_0_540,c_0_379]),
    [final] ).

cnf(c_0_627,axiom,
    ( q3(X1,X1)
    | ~ p2(X2,X1,X1)
    | ~ q3(X2,X1) ),
    rule_256,
    [final] ).

cnf(c_0_628,axiom,
    ( n4(X1,X2)
    | ~ p3(X1,X2,X2)
    | ~ n4(X1,X1) ),
    rule_281 ).

cnf(c_0_629,plain,
    n4(X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_541,c_0_542])]),
    [final] ).

cnf(c_0_630,plain,
    p2(X1,b,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_303]),c_0_462])]),
    [final] ).

cnf(c_0_631,axiom,
    ( p5(X1,X2,X2)
    | ~ l2(X1,X3)
    | ~ p5(X1,X3,X1)
    | ~ m4(X3,X2) ),
    rule_319 ).

cnf(c_0_632,plain,
    p5(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_544,c_0_545]),
    [final] ).

cnf(c_0_633,plain,
    ( m4(X1,X2)
    | ~ l2(X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_426]),c_0_477]),c_0_292])]) ).

cnf(c_0_634,plain,
    ( q1(a,a,b)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_547,c_0_548]) ).

cnf(c_0_635,plain,
    q2(d,c,d),
    inference(spm,[status(thm)],[c_0_549,c_0_517]),
    [final] ).

cnf(c_0_636,plain,
    ( m1(X1,a,a)
    | ~ m1(b,a,X1) ),
    inference(spm,[status(thm)],[c_0_438,c_0_550]),
    [final] ).

cnf(c_0_637,plain,
    m1(b,a,e),
    inference(spm,[status(thm)],[c_0_551,c_0_552]),
    [final] ).

cnf(c_0_638,plain,
    ( q1(X1,X1,d)
    | ~ r0(X2) ),
    inference(spm,[status(thm)],[c_0_547,c_0_553]) ).

cnf(c_0_639,plain,
    ( q3(X1,d)
    | ~ n0(X1,X1) ),
    inference(spm,[status(thm)],[c_0_481,c_0_462]),
    [final] ).

cnf(c_0_640,axiom,
    ( n5(X1,X2)
    | ~ q4(X3,X4)
    | ~ n4(X1,X4)
    | ~ p4(X5,X5,X2)
    | ~ n5(X5,X2) ),
    rule_307 ).

cnf(c_0_641,plain,
    ( p4(X1,X2,X2)
    | ~ r3(X2,X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_554,c_0_555]),c_0_556])]),
    [final] ).

cnf(c_0_642,plain,
    n5(X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_557,c_0_558])]) ).

cnf(c_0_643,plain,
    ( p3(X1,a,a)
    | ~ r2(a) ),
    inference(spm,[status(thm)],[c_0_559,c_0_435]) ).

cnf(c_0_644,plain,
    ( k3(X1,c,X1)
    | ~ n0(X1,b) ),
    inference(spm,[status(thm)],[c_0_315,c_0_560]),
    [final] ).

cnf(c_0_645,plain,
    k3(c,c,b),
    inference(spm,[status(thm)],[c_0_561,c_0_348]) ).

cnf(c_0_646,axiom,
    ( l3(d,c)
    | ~ s2(d)
    | ~ k3(a,c,a)
    | ~ r0(b) ),
    rule_224 ).

cnf(c_0_647,plain,
    ( p3(d,X1,X2)
    | ~ k2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_539,c_0_258]),
    [final] ).

cnf(c_0_648,plain,
    ( q1(X1,X1,b)
    | ~ s0(X1) ),
    inference(spm,[status(thm)],[c_0_562,c_0_209]),
    [final] ).

cnf(c_0_649,axiom,
    ( l4(X1)
    | ~ p3(X2,X3,X1) ),
    rule_277 ).

cnf(c_0_650,plain,
    ( p1(X1,X2,X3)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,X3,c)
    | ~ m0(X3,X1,e) ),
    inference(spm,[status(thm)],[c_0_215,c_0_563]),
    [final] ).

cnf(c_0_651,plain,
    ( p1(X1,X2,X3)
    | ~ m0(e,b,e)
    | ~ m0(b,X3,e)
    | ~ m0(X3,X1,b) ),
    inference(spm,[status(thm)],[c_0_215,c_0_564]),
    [final] ).

cnf(c_0_652,plain,
    ( p1(X1,X2,X3)
    | ~ m0(e,b,b)
    | ~ m0(b,X3,e)
    | ~ m0(X3,X1,b) ),
    inference(spm,[status(thm)],[c_0_215,c_0_565]),
    [final] ).

cnf(c_0_653,plain,
    ( q2(X1,e,X1)
    | ~ n1(e,X1,e)
    | ~ l1(X1,e)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,X1,c) ),
    inference(spm,[status(thm)],[c_0_402,c_0_563]),
    [final] ).

cnf(c_0_654,plain,
    ( p1(X1,X2,X3)
    | ~ m0(d,X3,d)
    | ~ m0(X3,X1,d) ),
    inference(spm,[status(thm)],[c_0_566,c_0_218]),
    [final] ).

cnf(c_0_655,plain,
    ( p1(X1,X2,X3)
    | ~ m0(d,X3,e)
    | ~ m0(X3,X1,d) ),
    inference(spm,[status(thm)],[c_0_567,c_0_218]),
    [final] ).

cnf(c_0_656,plain,
    ( p1(X1,X2,X3)
    | ~ m0(b,X3,c)
    | ~ m0(X3,X1,b) ),
    inference(spm,[status(thm)],[c_0_215,c_0_568]),
    [final] ).

cnf(c_0_657,plain,
    ( q2(X1,d,X1)
    | ~ n1(d,X1,d)
    | ~ l1(X1,d)
    | ~ m0(d,X1,d) ),
    inference(spm,[status(thm)],[c_0_569,c_0_218]),
    [final] ).

cnf(c_0_658,plain,
    ( q2(X1,d,X1)
    | ~ n1(d,X1,d)
    | ~ l1(X1,d)
    | ~ m0(d,X1,e) ),
    inference(spm,[status(thm)],[c_0_570,c_0_218]),
    [final] ).

cnf(c_0_659,plain,
    ( q2(X1,d,X1)
    | ~ n1(d,X1,d)
    | ~ l1(X1,d)
    | ~ m0(d,X1,b) ),
    inference(spm,[status(thm)],[c_0_571,c_0_218]),
    [final] ).

cnf(c_0_660,plain,
    ( q2(X1,c,X1)
    | ~ l1(X1,c)
    | ~ m0(e,c,e)
    | ~ m0(c,X1,e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_572]),c_0_517])]),
    [final] ).

cnf(c_0_661,plain,
    ( q2(X1,c,X1)
    | ~ l1(X1,c)
    | ~ m0(c,c,e)
    | ~ m0(c,X1,c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_573]),c_0_517])]),
    [final] ).

cnf(c_0_662,plain,
    ( q2(X1,e,X1)
    | ~ n1(e,X1,e)
    | ~ l1(X1,e)
    | ~ m0(e,X1,d) ),
    inference(spm,[status(thm)],[c_0_402,c_0_446]),
    [final] ).

cnf(c_0_663,plain,
    ( q2(e,c,e)
    | ~ l1(e,c)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_494]),c_0_517])]),
    [final] ).

cnf(c_0_664,plain,
    ( p3(a,X1,X2)
    | ~ q2(d,c,a)
    | ~ k2(X1,X2)
    | ~ n1(d,a,a)
    | ~ q0(e,c) ),
    inference(spm,[status(thm)],[c_0_539,c_0_574]),
    [final] ).

cnf(c_0_665,plain,
    ( q3(X1,X2)
    | ~ q3(X2,X1)
    | ~ s2(X1) ),
    inference(spm,[status(thm)],[c_0_575,c_0_313]),
    [final] ).

cnf(c_0_666,plain,
    ( q3(X1,d)
    | ~ n1(X1,d,c)
    | ~ n0(e,X1)
    | ~ n0(d,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_325]),c_0_379])]),
    [final] ).

cnf(c_0_667,plain,
    ( r3(e,X1,X1)
    | ~ q2(b,X1,b) ),
    inference(spm,[status(thm)],[c_0_415,c_0_239]),
    [final] ).

cnf(c_0_668,plain,
    ( r3(e,X1,c)
    | ~ k2(X1,c)
    | ~ n1(e,b,e) ),
    inference(spm,[status(thm)],[c_0_287,c_0_577]),
    [final] ).

cnf(c_0_669,plain,
    ( r3(b,X1,X1)
    | ~ q2(b,X1,b) ),
    inference(spm,[status(thm)],[c_0_369,c_0_239]),
    [final] ).

cnf(c_0_670,plain,
    ( r3(e,c,c)
    | ~ l0(e) ),
    inference(spm,[status(thm)],[c_0_578,c_0_261]),
    [final] ).

cnf(c_0_671,plain,
    ( q2(a,b,a)
    | ~ l1(a,b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_580]),c_0_581])]),
    [final] ).

cnf(c_0_672,plain,
    k2(a,e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_583]),c_0_459])]),
    [final] ).

cnf(c_0_673,plain,
    k2(b,e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_583]),c_0_459])]),
    [final] ).

cnf(c_0_674,plain,
    ( r3(c,X1,b)
    | ~ r2(b)
    | ~ k2(X1,b) ),
    inference(spm,[status(thm)],[c_0_253,c_0_584]),
    [final] ).

cnf(c_0_675,plain,
    ( k2(a,b)
    | ~ k2(X1,b)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_245,c_0_488]) ).

cnf(c_0_676,plain,
    ( r3(X1,X1,X2)
    | ~ m2(X2)
    | ~ n0(e,X1) ),
    inference(spm,[status(thm)],[c_0_585,c_0_473]),
    [final] ).

cnf(c_0_677,plain,
    ( q2(b,c,b)
    | ~ l1(b,c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_493]),c_0_517])]),
    [final] ).

cnf(c_0_678,plain,
    ( q2(c,e,c)
    | ~ l1(c,e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_356]),c_0_586])]),
    [final] ).

cnf(c_0_679,plain,
    ( q2(X1,a,X1)
    | ~ l1(X1,a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_237]),c_0_382])]),
    [final] ).

cnf(c_0_680,plain,
    ( m3(c,b,d)
    | ~ q2(b,c,d) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_587,c_0_462])]),
    [final] ).

cnf(c_0_681,plain,
    ( q3(c,X1)
    | ~ k1(X1)
    | ~ n0(X2,c)
    | ~ n0(e,X2) ),
    inference(spm,[status(thm)],[c_0_432,c_0_449]),
    [final] ).

cnf(c_0_682,plain,
    ( m3(X1,X1,d)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_588,c_0_270]),
    [final] ).

cnf(c_0_683,plain,
    ( q3(X1,X2)
    | ~ n1(X1,X2,X2)
    | ~ k0(X2)
    | ~ n0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_432,c_0_426]),
    [final] ).

cnf(c_0_684,plain,
    n1(c,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_590]),c_0_271])]),
    [final] ).

cnf(c_0_685,plain,
    ( q2(X1,c,X1)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_400,c_0_226]),
    [final] ).

cnf(c_0_686,axiom,
    ( m5(X1,X2)
    | ~ r0(X1)
    | ~ p4(X1,X3,X2) ),
    rule_303,
    [final] ).

cnf(c_0_687,plain,
    ( r3(X1,X1,X2)
    | ~ m2(X2)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_591,c_0_473]),
    [final] ).

cnf(c_0_688,plain,
    ( m3(e,e,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_592,c_0_270]),
    [final] ).

cnf(c_0_689,plain,
    ( m3(c,c,X1)
    | ~ r2(X1) ),
    inference(spm,[status(thm)],[c_0_416,c_0_593]),
    [final] ).

cnf(c_0_690,plain,
    ( r3(b,X1,d)
    | ~ r2(d)
    | ~ l0(b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_594]),c_0_425])]),
    [final] ).

cnf(c_0_691,plain,
    ( r3(d,e,e)
    | ~ l0(e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_359]),c_0_265])]),
    [final] ).

cnf(c_0_692,plain,
    ( r3(d,d,X1)
    | ~ r3(X1,X2,X2)
    | ~ m2(X1) ),
    inference(spm,[status(thm)],[c_0_510,c_0_596]) ).

cnf(c_0_693,plain,
    ( r3(c,c,X1)
    | ~ m2(X1) ),
    inference(spm,[status(thm)],[c_0_597,c_0_473]),
    [final] ).

cnf(c_0_694,plain,
    ( r3(a,a,X1)
    | ~ m2(X1) ),
    inference(spm,[status(thm)],[c_0_598,c_0_473]),
    [final] ).

cnf(c_0_695,axiom,
    ( p4(X1,X1,X2)
    | ~ r0(X1)
    | ~ r3(X2,X1,X2) ),
    rule_285,
    [final] ).

cnf(c_0_696,plain,
    r3(X1,a,X1),
    inference(spm,[status(thm)],[c_0_423,c_0_599]),
    [final] ).

cnf(c_0_697,plain,
    m3(d,d,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_600,c_0_270]),c_0_344])]),
    [final] ).

cnf(c_0_698,plain,
    ( m3(e,e,a)
    | ~ r2(a) ),
    inference(spm,[status(thm)],[c_0_416,c_0_601]) ).

cnf(c_0_699,plain,
    n1(e,a,e),
    inference(spm,[status(thm)],[c_0_602,c_0_276]),
    [final] ).

cnf(c_0_700,plain,
    ( m3(e,e,c)
    | ~ r2(c) ),
    inference(spm,[status(thm)],[c_0_515,c_0_603]) ).

cnf(c_0_701,plain,
    m3(d,d,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_604,c_0_270]),c_0_271])]),
    [final] ).

cnf(c_0_702,plain,
    ( p3(X1,X1,X2)
    | ~ r2(X1)
    | ~ p2(X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_559,c_0_457]),
    [final] ).

cnf(c_0_703,plain,
    ( p3(X1,X2,X2)
    | ~ p2(X2,e,e)
    | ~ p2(X1,X2,e) ),
    inference(spm,[status(thm)],[c_0_605,c_0_606]) ).

cnf(c_0_704,plain,
    ( m3(X1,X2,X2)
    | ~ s0(X2) ),
    inference(spm,[status(thm)],[c_0_607,c_0_514]),
    [final] ).

cnf(c_0_705,plain,
    ( r3(c,X1,d)
    | ~ r2(d) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_608]),c_0_425])]),
    [final] ).

cnf(c_0_706,plain,
    ( p1(c,b,c)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_251,c_0_493]) ).

cnf(c_0_707,plain,
    ( m1(c,a,c)
    | ~ r0(X1)
    | ~ m0(a,e,c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_609,c_0_276]),c_0_285])]) ).

cnf(c_0_708,plain,
    q2(d,a,d),
    inference(spm,[status(thm)],[c_0_549,c_0_382]),
    [final] ).

cnf(c_0_709,plain,
    ( q1(c,c,a)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_547,c_0_610]) ).

cnf(c_0_710,plain,
    ( r3(b,b,X1)
    | ~ m2(X1) ),
    inference(spm,[status(thm)],[c_0_611,c_0_473]),
    [final] ).

cnf(c_0_711,plain,
    ( m1(X1,X1,e)
    | ~ k0(X1) ),
    inference(spm,[status(thm)],[c_0_612,c_0_370]),
    [final] ).

cnf(c_0_712,plain,
    r3(d,X1,d),
    inference(spm,[status(thm)],[c_0_423,c_0_516]),
    [final] ).

cnf(c_0_713,axiom,
    ( n1(X1,d,X2)
    | ~ p0(X2,X2)
    | ~ r0(X1)
    | ~ l1(X2,d) ),
    rule_047,
    [final] ).

cnf(c_0_714,plain,
    ( l1(X1,X1)
    | ~ k1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_590]),c_0_271])]),
    [final] ).

cnf(c_0_715,plain,
    r3(e,X1,e),
    inference(spm,[status(thm)],[c_0_423,c_0_407]),
    [final] ).

cnf(c_0_716,plain,
    n1(d,c,d),
    inference(spm,[status(thm)],[c_0_512,c_0_218]),
    [final] ).

cnf(c_0_717,plain,
    m3(X1,b,b),
    inference(spm,[status(thm)],[c_0_607,c_0_348]),
    [final] ).

cnf(c_0_718,plain,
    n1(b,c,b),
    inference(spm,[status(thm)],[c_0_512,c_0_386]),
    [final] ).

cnf(c_0_719,plain,
    r3(a,c,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_614,c_0_270]),c_0_344])]),
    [final] ).

cnf(c_0_720,plain,
    ( k3(b,b,X1)
    | ~ m2(X2)
    | ~ m2(X1) ),
    inference(spm,[status(thm)],[c_0_318,c_0_403]) ).

cnf(c_0_721,plain,
    ( p3(X1,d,d)
    | ~ r2(d) ),
    inference(spm,[status(thm)],[c_0_559,c_0_615]),
    [final] ).

cnf(c_0_722,plain,
    ( p3(c,X1,X1)
    | ~ r2(X1) ),
    inference(spm,[status(thm)],[c_0_559,c_0_616]),
    [final] ).

cnf(c_0_723,plain,
    ( p3(b,X1,X1)
    | ~ r2(X1) ),
    inference(spm,[status(thm)],[c_0_559,c_0_617]),
    [final] ).

cnf(c_0_724,plain,
    k3(d,e,d),
    inference(spm,[status(thm)],[c_0_339,c_0_250]),
    [final] ).

cnf(c_0_725,axiom,
    ( q3(X1,X1)
    | ~ m0(X2,d,X2)
    | ~ k1(X1)
    | ~ r2(d)
    | ~ q3(X2,X1) ),
    rule_259 ).

cnf(c_0_726,plain,
    k3(d,b,d),
    inference(spm,[status(thm)],[c_0_339,c_0_262]),
    [final] ).

cnf(c_0_727,plain,
    r3(b,c,b),
    inference(spm,[status(thm)],[c_0_423,c_0_618]),
    [final] ).

cnf(c_0_728,plain,
    ( p2(a,c,b)
    | ~ l2(e,b)
    | ~ m1(d,a,c)
    | ~ l1(e,c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_619,c_0_256])]) ).

cnf(c_0_729,axiom,
    ( m1(X1,X1,c)
    | ~ n0(X2,X2)
    | ~ l1(c,c)
    | ~ p0(X2,X1) ),
    rule_010 ).

cnf(c_0_730,axiom,
    ( p4(c,c,X1)
    | ~ n3(a)
    | ~ m3(X1,c,a) ),
    rule_294 ).

cnf(c_0_731,plain,
    n3(a),
    inference(spm,[status(thm)],[c_0_298,c_0_620]) ).

cnf(c_0_732,axiom,
    ( l3(X1,X2)
    | ~ r0(X1)
    | ~ p2(X1,X2,X1) ),
    rule_215,
    [final] ).

cnf(c_0_733,plain,
    p2(b,e,b),
    inference(spm,[status(thm)],[c_0_367,c_0_621]) ).

cnf(c_0_734,plain,
    ( s4(X1)
    | ~ l1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_622,c_0_623]),
    [final] ).

cnf(c_0_735,axiom,
    ( r5(X1,X2)
    | ~ s4(X1)
    | ~ k0(b)
    | ~ n3(X2) ),
    rule_327 ).

cnf(c_0_736,plain,
    ( r3(c,X1,a)
    | ~ r2(a)
    | ~ k2(X1,a) ),
    inference(spm,[status(thm)],[c_0_253,c_0_624]) ).

cnf(c_0_737,plain,
    ( p3(e,X1,X2)
    | ~ k2(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_625,c_0_626]),c_0_285])]),
    [final] ).

cnf(c_0_738,plain,
    ( q3(a,a)
    | ~ q3(X1,a) ),
    inference(spm,[status(thm)],[c_0_627,c_0_599]) ).

cnf(c_0_739,plain,
    ( q3(X1,X2)
    | ~ k0(X1)
    | ~ n0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_432,c_0_288]),
    [final] ).

cnf(c_0_740,plain,
    r3(X1,e,X1),
    inference(spm,[status(thm)],[c_0_423,c_0_519]),
    [final] ).

cnf(c_0_741,plain,
    ( n4(X1,X2)
    | ~ p3(X1,X2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_628,c_0_629])]),
    [final] ).

cnf(c_0_742,plain,
    ( p3(X1,X2,X2)
    | ~ p2(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_605,c_0_389]),
    [final] ).

cnf(c_0_743,plain,
    r3(X1,b,X1),
    inference(spm,[status(thm)],[c_0_423,c_0_630]),
    [final] ).

cnf(c_0_744,plain,
    ( p5(X1,X2,X2)
    | ~ m4(X3,X2)
    | ~ l2(X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_631,c_0_632])]) ).

cnf(c_0_745,plain,
    m4(X1,X2),
    inference(spm,[status(thm)],[c_0_633,c_0_226]),
    [final] ).

cnf(c_0_746,axiom,
    ( p3(e,b,e)
    | ~ m3(e,X1,e)
    | ~ q2(X1,X1,b) ),
    rule_254 ).

cnf(c_0_747,axiom,
    ( q1(X1,X2,X2)
    | ~ k0(X3)
    | ~ l0(X1)
    | ~ q1(X2,X2,X3) ),
    rule_099,
    [final] ).

cnf(c_0_748,plain,
    q1(a,a,b),
    inference(spm,[status(thm)],[c_0_634,c_0_413]),
    [final] ).

cnf(c_0_749,plain,
    q3(c,d),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_635]),c_0_304])]),
    [final] ).

cnf(c_0_750,plain,
    m1(e,a,a),
    inference(spm,[status(thm)],[c_0_636,c_0_637]),
    [final] ).

cnf(c_0_751,axiom,
    ( r3(a,a,e)
    | ~ k2(a,a)
    | ~ q2(X1,e,X1)
    | ~ m2(b)
    | ~ m3(a,X1,X1) ),
    rule_269 ).

cnf(c_0_752,plain,
    ( p2(a,e,e)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_406,c_0_419]) ).

cnf(c_0_753,axiom,
    ( k4(e)
    | ~ q3(X1,X1)
    | ~ q1(a,a,X2)
    | ~ r3(X1,e,X2) ),
    rule_276 ).

cnf(c_0_754,plain,
    q1(X1,X1,d),
    inference(spm,[status(thm)],[c_0_638,c_0_413]),
    [final] ).

cnf(c_0_755,plain,
    q3(e,d),
    inference(spm,[status(thm)],[c_0_639,c_0_370]),
    [final] ).

cnf(c_0_756,plain,
    ( n5(X1,X2)
    | ~ q4(X3,X4)
    | ~ n4(X1,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_640,c_0_641]),c_0_642]),c_0_473])]) ).

cnf(c_0_757,plain,
    p3(X1,a,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_643,c_0_270]),c_0_344])]),
    [final] ).

cnf(c_0_758,axiom,
    ( q1(X1,X1,X2)
    | ~ p0(X3,X3)
    | ~ q0(X2,X1)
    | ~ k1(X1) ),
    rule_109 ).

cnf(c_0_759,plain,
    k3(a,c,a),
    inference(spm,[status(thm)],[c_0_644,c_0_404]),
    [final] ).

cnf(c_0_760,plain,
    ( p3(b,c,c)
    | ~ r2(c) ),
    inference(spm,[status(thm)],[c_0_559,c_0_645]) ).

cnf(c_0_761,plain,
    ( l3(d,c)
    | ~ k3(a,c,a)
    | ~ s2(d) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_646,c_0_413])]) ).

cnf(c_0_762,plain,
    m1(b,e,e),
    inference(spm,[status(thm)],[c_0_489,c_0_265]),
    [final] ).

cnf(c_0_763,plain,
    m1(b,c,c),
    inference(spm,[status(thm)],[c_0_489,c_0_459]),
    [final] ).

cnf(c_0_764,plain,
    p3(d,X1,X1),
    inference(spm,[status(thm)],[c_0_647,c_0_261]),
    [final] ).

cnf(c_0_765,plain,
    q1(d,d,b),
    inference(spm,[status(thm)],[c_0_648,c_0_229]) ).

cnf(c_0_766,axiom,
    ( s5(X1)
    | ~ l4(X1)
    | ~ r4(X2) ),
    rule_329 ).

cnf(c_0_767,plain,
    l4(X1),
    inference(spm,[status(thm)],[c_0_649,c_0_623]),
    [final] ).

cnf(c_0_768,axiom,
    ( k5(X1)
    | ~ s4(X2)
    | ~ r3(X3,X1,X1) ),
    rule_300 ).

cnf(c_0_769,axiom,
    ( l3(X1,X1)
    | ~ n2(X1)
    | ~ m2(b) ),
    rule_217 ).

cnf(c_0_770,plain,
    ( q3(X1,X2)
    | ~ n1(X1,X2,c)
    | ~ k1(X2)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,c,c)
    | ~ m0(c,X2,e)
    | ~ n0(e,X1)
    | ~ n0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_576,c_0_650]),
    [final] ).

cnf(c_0_771,plain,
    ( q3(X1,X2)
    | ~ n1(X1,X2,c)
    | ~ k1(X2)
    | ~ m0(e,b,e)
    | ~ m0(b,c,e)
    | ~ m0(c,X2,b)
    | ~ n0(e,X1)
    | ~ n0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_576,c_0_651]),
    [final] ).

cnf(c_0_772,plain,
    ( q3(X1,X1)
    | ~ q3(d,X1) ),
    inference(spm,[status(thm)],[c_0_627,c_0_516]),
    [final] ).

cnf(c_0_773,plain,
    ( q3(X1,X2)
    | ~ n1(X1,X2,c)
    | ~ k1(X2)
    | ~ m0(e,b,b)
    | ~ m0(b,c,e)
    | ~ m0(c,X2,b)
    | ~ n0(e,X1)
    | ~ n0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_576,c_0_652]),
    [final] ).

cnf(c_0_774,plain,
    ( q3(e,X1)
    | ~ n1(e,X1,e)
    | ~ l1(X1,e)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,X1,c)
    | ~ n0(X1,e) ),
    inference(spm,[status(thm)],[c_0_432,c_0_653]),
    [final] ).

cnf(c_0_775,plain,
    ( q3(X1,X2)
    | ~ n1(X1,X2,c)
    | ~ k1(X2)
    | ~ m0(c,c,e)
    | ~ m0(c,X2,c)
    | ~ n0(e,X1)
    | ~ n0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_576,c_0_573]),
    [final] ).

cnf(c_0_776,plain,
    ( q3(X1,X2)
    | ~ n1(X1,X2,c)
    | ~ k1(X2)
    | ~ m0(e,c,e)
    | ~ m0(c,X2,e)
    | ~ n0(e,X1)
    | ~ n0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_576,c_0_572]),
    [final] ).

cnf(c_0_777,plain,
    ( q3(X1,X2)
    | ~ n1(X1,X2,c)
    | ~ k1(X2)
    | ~ m0(d,c,d)
    | ~ m0(c,X2,d)
    | ~ n0(e,X1)
    | ~ n0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_576,c_0_654]),
    [final] ).

cnf(c_0_778,plain,
    ( q3(X1,X2)
    | ~ n1(X1,X2,c)
    | ~ k1(X2)
    | ~ m0(b,c,b)
    | ~ m0(c,X2,b)
    | ~ n0(e,X1)
    | ~ n0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_576,c_0_397]),
    [final] ).

cnf(c_0_779,plain,
    ( q3(X1,X2)
    | ~ n1(X1,X2,c)
    | ~ k1(X2)
    | ~ m0(d,c,e)
    | ~ m0(c,X2,d)
    | ~ n0(e,X1)
    | ~ n0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_576,c_0_655]),
    [final] ).

cnf(c_0_780,plain,
    ( q3(X1,X2)
    | ~ n1(X1,X2,c)
    | ~ k1(X2)
    | ~ m0(e,c,d)
    | ~ m0(c,X2,e)
    | ~ n0(e,X1)
    | ~ n0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_576,c_0_498]),
    [final] ).

cnf(c_0_781,plain,
    ( q3(X1,X2)
    | ~ n1(X1,X2,c)
    | ~ k1(X2)
    | ~ m0(b,c,c)
    | ~ m0(c,X2,b)
    | ~ n0(e,X1)
    | ~ n0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_576,c_0_656]),
    [final] ).

cnf(c_0_782,plain,
    ( q3(X1,X2)
    | ~ n1(X1,X2,c)
    | ~ k1(X2)
    | ~ m0(d,c,b)
    | ~ m0(c,X2,d)
    | ~ n0(e,X1)
    | ~ n0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_576,c_0_497]),
    [final] ).

cnf(c_0_783,plain,
    ( q4(X1,X2)
    | ~ p1(X1,X1,c)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ n0(e,X2) ),
    inference(spm,[status(thm)],[c_0_485,c_0_504]),
    [final] ).

cnf(c_0_784,plain,
    ( p1(X1,X2,X3)
    | ~ m0(e,c,e)
    | ~ m0(c,X3,e)
    | ~ m0(X3,X1,c) ),
    inference(spm,[status(thm)],[c_0_215,c_0_572]),
    [final] ).

cnf(c_0_785,plain,
    ( p1(X1,X2,X3)
    | ~ m0(c,c,e)
    | ~ m0(c,X3,c)
    | ~ m0(X3,X1,c) ),
    inference(spm,[status(thm)],[c_0_215,c_0_573]),
    [final] ).

cnf(c_0_786,plain,
    ( q3(X1,X2)
    | ~ n1(X1,X2,c)
    | ~ k1(X2)
    | ~ m0(c,X2,a)
    | ~ n0(e,X1)
    | ~ n0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_576,c_0_252]),
    [final] ).

cnf(c_0_787,plain,
    ( q3(X1,e)
    | ~ n1(X1,e,c)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ n0(e,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_494]),c_0_265])]),
    [final] ).

cnf(c_0_788,plain,
    ( q3(d,X1)
    | ~ n1(d,X1,d)
    | ~ l1(X1,d)
    | ~ m0(d,X1,d)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_432,c_0_657]),
    [final] ).

cnf(c_0_789,plain,
    ( q3(d,X1)
    | ~ n1(d,X1,d)
    | ~ l1(X1,d)
    | ~ m0(d,X1,e)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_432,c_0_658]),
    [final] ).

cnf(c_0_790,plain,
    ( q3(d,X1)
    | ~ n1(d,X1,d)
    | ~ l1(X1,d)
    | ~ m0(d,X1,b)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_432,c_0_659]),
    [final] ).

cnf(c_0_791,plain,
    ( q3(c,X1)
    | ~ l1(X1,c)
    | ~ m0(e,c,e)
    | ~ m0(c,X1,e)
    | ~ n0(X1,c) ),
    inference(spm,[status(thm)],[c_0_432,c_0_660]),
    [final] ).

cnf(c_0_792,plain,
    ( q3(c,X1)
    | ~ l1(X1,c)
    | ~ m0(c,c,e)
    | ~ m0(c,X1,c)
    | ~ n0(X1,c) ),
    inference(spm,[status(thm)],[c_0_432,c_0_661]),
    [final] ).

cnf(c_0_793,plain,
    ( q3(e,X1)
    | ~ n1(e,X1,e)
    | ~ l1(X1,e)
    | ~ m0(e,X1,d)
    | ~ n0(X1,e) ),
    inference(spm,[status(thm)],[c_0_432,c_0_662]),
    [final] ).

cnf(c_0_794,plain,
    ( q3(c,e)
    | ~ l1(e,c)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ n0(e,c) ),
    inference(spm,[status(thm)],[c_0_432,c_0_663]),
    [final] ).

cnf(c_0_795,plain,
    ( q3(d,a)
    | ~ q2(d,c,a)
    | ~ n1(d,a,a)
    | ~ n0(a,d)
    | ~ q0(e,c) ),
    inference(spm,[status(thm)],[c_0_432,c_0_574]),
    [final] ).

cnf(c_0_796,plain,
    ( p3(a,X1,X1)
    | ~ q2(d,c,a)
    | ~ n1(d,a,a)
    | ~ q0(e,c) ),
    inference(spm,[status(thm)],[c_0_664,c_0_261]),
    [final] ).

cnf(c_0_797,plain,
    ( q3(X1,c)
    | ~ n1(X1,c,c)
    | ~ n0(e,X1)
    | ~ n0(c,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_216]),c_0_459])]),
    [final] ).

cnf(c_0_798,plain,
    ( q3(X1,b)
    | ~ n1(X1,b,c)
    | ~ n0(e,X1)
    | ~ n0(b,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_493]),c_0_279])]),
    [final] ).

cnf(c_0_799,plain,
    ( q3(d,X1)
    | ~ n1(X1,d,c)
    | ~ n0(e,X1)
    | ~ n0(d,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_665,c_0_666]),c_0_364])]),
    [final] ).

cnf(c_0_800,plain,
    k2(e,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_295]),c_0_459])]),
    [final] ).

cnf(c_0_801,plain,
    k2(e,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_409]),c_0_459])]),
    [final] ).

cnf(c_0_802,plain,
    k2(b,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_295]),c_0_459])]),
    [final] ).

cnf(c_0_803,plain,
    ( q3(b,X1)
    | ~ n1(b,X1,b)
    | ~ l1(X1,b)
    | ~ n0(X1,b) ),
    inference(spm,[status(thm)],[c_0_432,c_0_452]),
    [final] ).

cnf(c_0_804,plain,
    ( r3(X1,X2,e)
    | ~ r2(e)
    | ~ q2(b,X1,b)
    | ~ k2(X2,e) ),
    inference(spm,[status(thm)],[c_0_253,c_0_667]),
    [final] ).

cnf(c_0_805,plain,
    ( r3(e,c,c)
    | ~ n1(e,b,e) ),
    inference(spm,[status(thm)],[c_0_668,c_0_261]),
    [final] ).

cnf(c_0_806,plain,
    ( r3(X1,X2,b)
    | ~ r2(b)
    | ~ q2(b,X1,b)
    | ~ k2(X2,b) ),
    inference(spm,[status(thm)],[c_0_253,c_0_669]),
    [final] ).

cnf(c_0_807,plain,
    ( p1(c,e,c)
    | ~ l0(X1)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e) ),
    inference(spm,[status(thm)],[c_0_251,c_0_494]) ).

cnf(c_0_808,plain,
    ( r3(c,X1,e)
    | ~ k2(X1,e)
    | ~ l0(e) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_670]),c_0_270]),
    [final] ).

cnf(c_0_809,plain,
    ( r3(c,b,X1)
    | ~ r2(X1)
    | ~ k1(X1)
    | ~ k0(X1) ),
    inference(spm,[status(thm)],[c_0_358,c_0_278]),
    [final] ).

cnf(c_0_810,plain,
    ( q3(b,a)
    | ~ l1(a,b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_671]),c_0_404])]),
    [final] ).

cnf(c_0_811,plain,
    ( r3(c,X1,X1)
    | ~ r2(X1)
    | ~ k0(X1) ),
    inference(spm,[status(thm)],[c_0_358,c_0_261]),
    [final] ).

cnf(c_0_812,plain,
    ( r3(c,a,e)
    | ~ r2(e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_672]),c_0_285])]),
    [final] ).

cnf(c_0_813,plain,
    ( r3(c,b,e)
    | ~ r2(e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_673]),c_0_285])]),
    [final] ).

cnf(c_0_814,plain,
    ( r3(c,c,e)
    | ~ r2(e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_583]),c_0_285])]),
    [final] ).

cnf(c_0_815,plain,
    ( r3(c,X1,b)
    | ~ k2(X1,b)
    | ~ l0(b) ),
    inference(spm,[status(thm)],[c_0_674,c_0_270]),
    [final] ).

cnf(c_0_816,plain,
    k2(a,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_409]),c_0_459])]),
    [final] ).

cnf(c_0_817,plain,
    ( r3(e,e,X1)
    | ~ m2(X1) ),
    inference(spm,[status(thm)],[c_0_676,c_0_370]),
    [final] ).

cnf(c_0_818,plain,
    ( q3(c,b)
    | ~ l1(b,c)
    | ~ n0(b,c) ),
    inference(spm,[status(thm)],[c_0_432,c_0_677]),
    [final] ).

cnf(c_0_819,plain,
    ( q3(e,c)
    | ~ l1(c,e)
    | ~ n0(c,e) ),
    inference(spm,[status(thm)],[c_0_432,c_0_678]),
    [final] ).

cnf(c_0_820,plain,
    ( q3(a,X1)
    | ~ l1(X1,a)
    | ~ n0(X1,a) ),
    inference(spm,[status(thm)],[c_0_432,c_0_679]),
    [final] ).

cnf(c_0_821,plain,
    ( p3(X1,c,c)
    | ~ q2(b,c,d)
    | ~ p2(X1,c,d) ),
    inference(spm,[status(thm)],[c_0_605,c_0_680]),
    [final] ).

cnf(c_0_822,plain,
    ( q3(c,X1)
    | ~ k1(X1)
    | ~ n0(e,d) ),
    inference(spm,[status(thm)],[c_0_681,c_0_304]),
    [final] ).

cnf(c_0_823,plain,
    ( p3(X1,X2,X2)
    | ~ p2(X1,X2,d)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_605,c_0_682]),
    [final] ).

cnf(c_0_824,plain,
    ( q3(a,X1)
    | ~ k0(X1)
    | ~ n0(X1,a) ),
    inference(spm,[status(thm)],[c_0_683,c_0_477]),
    [final] ).

cnf(c_0_825,plain,
    ( q3(c,X1)
    | ~ k0(X1)
    | ~ n0(X1,c) ),
    inference(spm,[status(thm)],[c_0_683,c_0_684]),
    [final] ).

cnf(c_0_826,plain,
    ( q3(c,X1)
    | ~ k1(X1)
    | ~ n0(X1,c) ),
    inference(spm,[status(thm)],[c_0_432,c_0_685]),
    [final] ).

cnf(c_0_827,plain,
    ( m5(X1,X2)
    | ~ r3(X2,X2,X1)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_686,c_0_641]),
    [final] ).

cnf(c_0_828,plain,
    ( r3(X1,X1,X2)
    | ~ l0(X1)
    | ~ s0(X2) ),
    inference(spm,[status(thm)],[c_0_687,c_0_514]),
    [final] ).

cnf(c_0_829,plain,
    ( p3(X1,e,e)
    | ~ p2(X1,e,X2)
    | ~ l0(X2) ),
    inference(spm,[status(thm)],[c_0_605,c_0_688]),
    [final] ).

cnf(c_0_830,plain,
    ( m3(c,c,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_689,c_0_270]),
    [final] ).

cnf(c_0_831,plain,
    ( r3(b,X1,d)
    | ~ l0(b)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_690,c_0_270]),
    [final] ).

cnf(c_0_832,plain,
    ( r3(e,X1,d)
    | ~ r2(d)
    | ~ l0(e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_691]),c_0_425])]),
    [final] ).

cnf(c_0_833,plain,
    ( p1(X1,X2,X1)
    | ~ m0(X1,X1,b) ),
    inference(spm,[status(thm)],[c_0_215,c_0_403]),
    [final] ).

cnf(c_0_834,plain,
    ( r3(d,d,X1)
    | ~ m2(X1) ),
    inference(spm,[status(thm)],[c_0_692,c_0_473]),
    [final] ).

cnf(c_0_835,plain,
    ( r3(c,c,X1)
    | ~ s0(X1) ),
    inference(spm,[status(thm)],[c_0_693,c_0_514]),
    [final] ).

cnf(c_0_836,plain,
    ( r3(a,a,X1)
    | ~ s0(X1) ),
    inference(spm,[status(thm)],[c_0_694,c_0_514]),
    [final] ).

cnf(c_0_837,plain,
    ( m3(a,a,X1)
    | ~ r2(X1) ),
    inference(spm,[status(thm)],[c_0_515,c_0_599]),
    [final] ).

cnf(c_0_838,plain,
    ( p4(a,a,X1)
    | ~ r0(a) ),
    inference(spm,[status(thm)],[c_0_695,c_0_696]),
    [final] ).

cnf(c_0_839,plain,
    ( p3(X1,d,d)
    | ~ p2(X1,d,a) ),
    inference(spm,[status(thm)],[c_0_605,c_0_697]),
    [final] ).

cnf(c_0_840,plain,
    m3(e,e,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_698,c_0_270]),c_0_344])]),
    [final] ).

cnf(c_0_841,plain,
    ( n1(e,a,a)
    | ~ l1(X1,e)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_381,c_0_699]),
    [final] ).

cnf(c_0_842,plain,
    l1(e,e),
    inference(spm,[status(thm)],[c_0_383,c_0_370]),
    [final] ).

cnf(c_0_843,plain,
    m3(e,e,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_700,c_0_270]),c_0_271])]),
    [final] ).

cnf(c_0_844,plain,
    ( p3(X1,d,d)
    | ~ p2(X1,d,c) ),
    inference(spm,[status(thm)],[c_0_605,c_0_701]),
    [final] ).

cnf(c_0_845,plain,
    ( n1(b,a,a)
    | ~ l1(X1,b)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_381,c_0_581]),
    [final] ).

cnf(c_0_846,plain,
    ( p3(e,e,X1)
    | ~ r2(e) ),
    inference(spm,[status(thm)],[c_0_702,c_0_519]),
    [final] ).

cnf(c_0_847,plain,
    ( p3(X1,X2,X2)
    | ~ p2(X1,X2,e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_703,c_0_519])]),
    [final] ).

cnf(c_0_848,plain,
    ( p3(X1,X2,X2)
    | ~ p2(X1,X2,X3)
    | ~ s0(X3) ),
    inference(spm,[status(thm)],[c_0_605,c_0_704]),
    [final] ).

cnf(c_0_849,plain,
    ( p3(b,b,X1)
    | ~ r2(b) ),
    inference(spm,[status(thm)],[c_0_702,c_0_630]),
    [final] ).

cnf(c_0_850,plain,
    ( m3(b,b,X1)
    | ~ r2(X1) ),
    inference(spm,[status(thm)],[c_0_515,c_0_630]),
    [final] ).

cnf(c_0_851,axiom,
    ( m5(X1,X1)
    | ~ s4(X1)
    | ~ m4(e,e) ),
    rule_305 ).

cnf(c_0_852,plain,
    ( r3(c,X1,d)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_705,c_0_270]),
    [final] ).

cnf(c_0_853,axiom,
    ( p2(X1,e,X2)
    | ~ n1(e,X1,a)
    | ~ q1(a,X2,X1) ),
    rule_156,
    [final] ).

cnf(c_0_854,plain,
    p1(c,b,c),
    inference(spm,[status(thm)],[c_0_706,c_0_271]),
    [final] ).

cnf(c_0_855,plain,
    ( m1(c,a,c)
    | ~ m0(a,e,c) ),
    inference(spm,[status(thm)],[c_0_707,c_0_413]),
    [final] ).

cnf(c_0_856,plain,
    ( q3(a,d)
    | ~ n0(d,a) ),
    inference(spm,[status(thm)],[c_0_432,c_0_708]),
    [final] ).

cnf(c_0_857,plain,
    q1(X1,b,X1),
    inference(spm,[status(thm)],[c_0_337,c_0_404]),
    [final] ).

cnf(c_0_858,plain,
    q1(X1,d,X1),
    inference(spm,[status(thm)],[c_0_337,c_0_341]),
    [final] ).

cnf(c_0_859,plain,
    ( q4(X1,X2)
    | ~ n1(X2,X1,X1)
    | ~ k0(X1) ),
    inference(spm,[status(thm)],[c_0_485,c_0_426]),
    [final] ).

cnf(c_0_860,plain,
    m1(d,e,e),
    inference(spm,[status(thm)],[c_0_422,c_0_265]),
    [final] ).

cnf(c_0_861,plain,
    q1(c,c,a),
    inference(spm,[status(thm)],[c_0_709,c_0_413]),
    [final] ).

cnf(c_0_862,plain,
    m1(d,b,b),
    inference(spm,[status(thm)],[c_0_422,c_0_279]),
    [final] ).

cnf(c_0_863,plain,
    m1(d,c,c),
    inference(spm,[status(thm)],[c_0_422,c_0_459]),
    [final] ).

cnf(c_0_864,plain,
    ( r3(b,b,X1)
    | ~ s0(X1) ),
    inference(spm,[status(thm)],[c_0_710,c_0_514]),
    [final] ).

cnf(c_0_865,axiom,
    ( q1(X1,X2,X1)
    | ~ l0(X1)
    | ~ r0(X3)
    | ~ p0(X4,X1)
    | ~ q0(X2,X2) ),
    rule_104 ).

cnf(c_0_866,plain,
    m1(b,b,e),
    inference(spm,[status(thm)],[c_0_711,c_0_292]),
    [final] ).

cnf(c_0_867,plain,
    ( p4(X1,X1,d)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_695,c_0_712]),
    [final] ).

cnf(c_0_868,plain,
    ( n1(X1,d,d)
    | ~ p0(d,d)
    | ~ r0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_713,c_0_714]),c_0_379])]),
    [final] ).

cnf(c_0_869,plain,
    ( p3(X1,X1,d)
    | ~ r2(X1) ),
    inference(spm,[status(thm)],[c_0_702,c_0_516]),
    [final] ).

cnf(c_0_870,plain,
    ( p4(X1,X1,e)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_695,c_0_715]),
    [final] ).

cnf(c_0_871,plain,
    ( n1(d,c,c)
    | ~ l1(X1,d)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_381,c_0_716]),
    [final] ).

cnf(c_0_872,plain,
    ( n1(e,c,c)
    | ~ l1(X1,e)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_381,c_0_586]),
    [final] ).

cnf(c_0_873,plain,
    ( p3(X1,X2,X2)
    | ~ p2(X1,X2,b) ),
    inference(spm,[status(thm)],[c_0_605,c_0_717]),
    [final] ).

cnf(c_0_874,axiom,
    ( l5(X1)
    | ~ q4(X2,X2)
    | ~ k1(X1) ),
    rule_302 ).

cnf(c_0_875,plain,
    ( n1(b,c,c)
    | ~ l1(X1,b)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_381,c_0_718]),
    [final] ).

cnf(c_0_876,plain,
    ( p4(c,c,a)
    | ~ r0(c) ),
    inference(spm,[status(thm)],[c_0_695,c_0_719]),
    [final] ).

cnf(c_0_877,plain,
    ( m3(X1,a,X1)
    | ~ r2(X1) ),
    inference(spm,[status(thm)],[c_0_408,c_0_295]),
    [final] ).

cnf(c_0_878,plain,
    ( m3(X1,e,X1)
    | ~ r2(X1) ),
    inference(spm,[status(thm)],[c_0_408,c_0_583]),
    [final] ).

cnf(c_0_879,plain,
    ( k3(b,b,X1)
    | ~ m2(X1) ),
    inference(spm,[status(thm)],[c_0_720,c_0_348]),
    [final] ).

cnf(c_0_880,plain,
    ( p3(d,d,a)
    | ~ r2(d) ),
    inference(spm,[status(thm)],[c_0_559,c_0_526]),
    [final] ).

cnf(c_0_881,plain,
    ( p3(X1,d,d)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_721,c_0_270]),
    [final] ).

cnf(c_0_882,plain,
    ( p3(c,X1,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_722,c_0_270]),
    [final] ).

cnf(c_0_883,plain,
    ( p3(b,X1,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_723,c_0_270]),
    [final] ).

cnf(c_0_884,plain,
    ( m3(X1,d,X1)
    | ~ r2(X1) ),
    inference(spm,[status(thm)],[c_0_408,c_0_425]),
    [final] ).

cnf(c_0_885,plain,
    ( p3(d,d,e)
    | ~ r2(d) ),
    inference(spm,[status(thm)],[c_0_559,c_0_724]),
    [final] ).

cnf(c_0_886,plain,
    ( m3(d,d,e)
    | ~ r2(e) ),
    inference(spm,[status(thm)],[c_0_416,c_0_724]),
    [final] ).

cnf(c_0_887,plain,
    k3(e,e,a),
    inference(spm,[status(thm)],[c_0_491,c_0_672]),
    [final] ).

cnf(c_0_888,plain,
    ( q3(X1,X1)
    | ~ q3(X2,X1)
    | ~ r2(d)
    | ~ k1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_725,c_0_218])]),
    [final] ).

cnf(c_0_889,plain,
    ( p3(d,d,b)
    | ~ r2(d) ),
    inference(spm,[status(thm)],[c_0_559,c_0_726]),
    [final] ).

cnf(c_0_890,plain,
    ( m3(d,d,b)
    | ~ r2(b) ),
    inference(spm,[status(thm)],[c_0_416,c_0_726]),
    [final] ).

cnf(c_0_891,plain,
    ( p3(d,d,c)
    | ~ r2(d) ),
    inference(spm,[status(thm)],[c_0_559,c_0_377]),
    [final] ).

cnf(c_0_892,plain,
    ( p4(c,c,b)
    | ~ r0(c) ),
    inference(spm,[status(thm)],[c_0_695,c_0_727]),
    [final] ).

cnf(c_0_893,plain,
    ( p2(a,c,b)
    | ~ l2(e,b)
    | ~ l1(e,c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_728,c_0_259])]) ).

cnf(c_0_894,axiom,
    m0(a,e,e),
    axiom_23,
    [final] ).

cnf(c_0_895,plain,
    ( m3(X1,c,X1)
    | ~ r2(X1) ),
    inference(spm,[status(thm)],[c_0_408,c_0_261]),
    [final] ).

cnf(c_0_896,plain,
    ( m1(X1,X1,c)
    | ~ p0(X2,X1)
    | ~ n0(X2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_729,c_0_590])]),
    [final] ).

cnf(c_0_897,axiom,
    ( m3(X1,c,X1)
    | ~ s2(c)
    | ~ q2(X1,c,c) ),
    rule_237,
    [final] ).

cnf(c_0_898,plain,
    ( p4(c,c,X1)
    | ~ m3(X1,c,a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_730,c_0_731])]),
    [final] ).

cnf(c_0_899,axiom,
    ( p2(a,X1,d)
    | ~ n0(X1,d)
    | ~ m1(a,X1,d) ),
    rule_166,
    [final] ).

cnf(c_0_900,axiom,
    ( n1(X1,X2,X1)
    | ~ p0(X1,X1)
    | ~ p0(X2,X3) ),
    rule_044,
    [final] ).

cnf(c_0_901,axiom,
    ( p5(X1,X1,X2)
    | ~ s4(X2)
    | ~ l2(X1,X1) ),
    rule_318 ).

cnf(c_0_902,axiom,
    ( q1(X1,X1,X1)
    | ~ p0(X2,X3)
    | ~ p1(X1,b,b)
    | ~ q0(b,b) ),
    rule_108 ).

cnf(c_0_903,axiom,
    ( p2(X1,X1,X2)
    | ~ q1(c,X1,X3)
    | ~ s1(c)
    | ~ s0(e)
    | ~ p2(X1,X3,X1) ),
    rule_158 ).

cnf(c_0_904,axiom,
    ( q1(X1,X1,X1)
    | ~ p0(b,d)
    | ~ s0(b)
    | ~ n1(X2,d,X1) ),
    rule_118 ).

cnf(c_0_905,axiom,
    ( p1(X1,X1,X1)
    | ~ l1(X2,X2)
    | ~ p0(X1,X2)
    | ~ n0(X2,X2) ),
    rule_065 ).

cnf(c_0_906,axiom,
    ( p3(X1,d,e)
    | ~ l3(b,e)
    | ~ p2(d,b,c)
    | ~ n3(X1)
    | ~ q2(X1,d,X1) ),
    rule_243 ).

cnf(c_0_907,plain,
    l3(b,e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_732,c_0_733]),c_0_413])]),
    [final] ).

cnf(c_0_908,axiom,
    ( m1(X1,X2,c)
    | ~ r0(c)
    | ~ s0(d)
    | ~ q0(X2,d)
    | ~ p0(X1,X2) ),
    rule_019 ).

cnf(c_0_909,axiom,
    ( m5(X1,X1)
    | ~ s4(X2)
    | ~ r0(X1) ),
    rule_306 ).

cnf(c_0_910,plain,
    s4(c),
    inference(spm,[status(thm)],[c_0_734,c_0_590]),
    [final] ).

cnf(c_0_911,plain,
    ( r5(X1,X2)
    | ~ s4(X1)
    | ~ n3(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_735,c_0_292])]) ).

cnf(c_0_912,axiom,
    ( p3(X1,X1,X1)
    | ~ p2(X2,X1,X1)
    | ~ n3(X1) ),
    rule_248 ).

cnf(c_0_913,axiom,
    ( k3(X1,X1,X1)
    | ~ l0(X1)
    | ~ r2(e)
    | ~ r0(e) ),
    rule_211 ).

cnf(c_0_914,axiom,
    ( p1(X1,X1,X1)
    | ~ k0(e)
    | ~ k1(X1)
    | ~ l0(c) ),
    rule_079 ).

cnf(c_0_915,axiom,
    ( p2(X1,X1,d)
    | ~ r1(a)
    | ~ m0(X2,X1,d) ),
    rule_149 ).

cnf(c_0_916,axiom,
    ( q1(b,e,e)
    | ~ s0(e)
    | ~ k0(b)
    | ~ l0(c) ),
    rule_094 ).

cnf(c_0_917,plain,
    ( r3(c,X1,a)
    | ~ k2(X1,a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_736,c_0_270]),c_0_344])]),
    [final] ).

cnf(c_0_918,plain,
    p3(e,X1,X1),
    inference(spm,[status(thm)],[c_0_737,c_0_261]),
    [final] ).

cnf(c_0_919,plain,
    ( q3(a,a)
    | ~ k0(X1)
    | ~ n0(a,X1) ),
    inference(spm,[status(thm)],[c_0_738,c_0_739]) ).

cnf(c_0_920,plain,
    ( p3(a,a,X1)
    | ~ r2(a) ),
    inference(spm,[status(thm)],[c_0_702,c_0_599]) ).

cnf(c_0_921,plain,
    n1(b,e,e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_302]),c_0_279])]),
    [final] ).

cnf(c_0_922,plain,
    p4(e,e,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_695,c_0_740]),c_0_276])]),
    [final] ).

cnf(c_0_923,plain,
    ( n4(X1,X2)
    | ~ p2(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_741,c_0_742]),
    [final] ).

cnf(c_0_924,plain,
    p4(b,b,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_695,c_0_743]),c_0_413])]),
    [final] ).

cnf(c_0_925,plain,
    ( p5(X1,X2,X2)
    | ~ l2(X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_744,c_0_745])]) ).

cnf(c_0_926,plain,
    ( p3(e,b,e)
    | ~ q2(X1,X1,b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_746,c_0_511]),c_0_370])]) ).

cnf(c_0_927,plain,
    ( q1(X1,a,a)
    | ~ l0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_747,c_0_748]),c_0_292])]),
    [final] ).

cnf(c_0_928,plain,
    q3(d,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_665,c_0_749]),c_0_364])]),
    [final] ).

cnf(c_0_929,plain,
    ( q1(e,e,a)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_547,c_0_750]) ).

cnf(c_0_930,plain,
    ( m3(b,X1,b)
    | ~ l2(a,b) ),
    inference(spm,[status(thm)],[c_0_405,c_0_580]) ).

cnf(c_0_931,plain,
    ( r3(a,a,e)
    | ~ m3(a,X1,X1)
    | ~ q2(X1,e,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_751,c_0_348]),c_0_261])]) ).

cnf(c_0_932,plain,
    p2(a,e,e),
    inference(spm,[status(thm)],[c_0_752,c_0_459]) ).

cnf(c_0_933,plain,
    ( k3(X1,d,X1)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_315,c_0_407]),
    [final] ).

cnf(c_0_934,plain,
    ( k4(e)
    | ~ r3(X1,e,d)
    | ~ q3(X1,X1) ),
    inference(spm,[status(thm)],[c_0_753,c_0_754]) ).

cnf(c_0_935,plain,
    q3(d,d),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_627,c_0_407]),c_0_755])]),
    [final] ).

cnf(c_0_936,plain,
    ( n5(X1,X2)
    | ~ n4(X1,X3) ),
    inference(spm,[status(thm)],[c_0_756,c_0_545]) ).

cnf(c_0_937,plain,
    n4(X1,a),
    inference(spm,[status(thm)],[c_0_741,c_0_757]),
    [final] ).

cnf(c_0_938,axiom,
    ( p3(b,c,b)
    | ~ k2(c,b) ),
    rule_253 ).

cnf(c_0_939,axiom,
    q0(d,b),
    axiom_29,
    [final] ).

cnf(c_0_940,plain,
    ( q1(X1,X1,X2)
    | ~ k1(X1)
    | ~ q0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_758,c_0_209]),
    [final] ).

cnf(c_0_941,plain,
    ( m3(a,a,c)
    | ~ r2(c) ),
    inference(spm,[status(thm)],[c_0_416,c_0_759]) ).

cnf(c_0_942,plain,
    p3(b,c,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_760,c_0_270]),c_0_271])]),
    [final] ).

cnf(c_0_943,plain,
    ( l3(d,c)
    | ~ k3(a,c,a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_761,c_0_364])]) ).

cnf(c_0_944,plain,
    ( q1(b,b,e)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_547,c_0_762]) ).

cnf(c_0_945,plain,
    ( q1(b,b,a)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_547,c_0_550]) ).

cnf(c_0_946,plain,
    ( q1(b,b,c)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_547,c_0_763]) ).

cnf(c_0_947,plain,
    ( p3(c,c,X1)
    | ~ r2(c) ),
    inference(spm,[status(thm)],[c_0_559,c_0_593]) ).

cnf(c_0_948,plain,
    ( q1(e,e,b)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_547,c_0_396]) ).

cnf(c_0_949,plain,
    ( k3(X1,e,X1)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_315,c_0_411]),
    [final] ).

cnf(c_0_950,plain,
    ( n4(d,X1)
    | ~ n4(d,d) ),
    inference(spm,[status(thm)],[c_0_628,c_0_764]) ).

cnf(c_0_951,plain,
    ( q1(X1,d,d)
    | ~ l0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_747,c_0_765]),c_0_292])]),
    [final] ).

cnf(c_0_952,plain,
    ( q1(X1,e,e)
    | ~ l0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_747,c_0_248]),c_0_285])]),
    [final] ).

cnf(c_0_953,plain,
    ( q3(X1,X1)
    | ~ k0(X1)
    | ~ n0(X2,X1) ),
    inference(spm,[status(thm)],[c_0_432,c_0_380]),
    [final] ).

cnf(c_0_954,plain,
    ( s5(X1)
    | ~ r4(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_766,c_0_767])]) ).

cnf(c_0_955,plain,
    p2(e,a,e),
    inference(spm,[status(thm)],[c_0_367,c_0_507]) ).

cnf(c_0_956,plain,
    p2(b,a,b),
    inference(spm,[status(thm)],[c_0_367,c_0_488]) ).

cnf(c_0_957,axiom,
    ( p4(X1,X1,X1)
    | ~ p3(X2,X2,X1) ),
    rule_291 ).

cnf(c_0_958,plain,
    ( k5(X1)
    | ~ s4(X2) ),
    inference(spm,[status(thm)],[c_0_768,c_0_473]) ).

cnf(c_0_959,axiom,
    ( q5(X1,X1)
    | ~ l4(X1) ),
    rule_324 ).

cnf(c_0_960,axiom,
    ( q1(X1,X2,X2)
    | ~ p0(X2,X1) ),
    rule_095,
    [final] ).

cnf(c_0_961,plain,
    ( l3(X1,X1)
    | ~ n2(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_769,c_0_348])]) ).

cnf(c_0_962,plain,
    ( q3(X1,X2)
    | ~ s2(X1)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,c,c)
    | ~ m0(c,X1,e)
    | ~ n0(e,X2)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_665,c_0_770]),
    [final] ).

cnf(c_0_963,plain,
    ( q3(X1,X2)
    | ~ s2(X1)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(e,b,e)
    | ~ m0(b,c,e)
    | ~ m0(c,X1,b)
    | ~ n0(e,X2)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_665,c_0_771]),
    [final] ).

cnf(c_0_964,plain,
    ( q3(X1,X1)
    | ~ n1(d,X1,c)
    | ~ k1(X1)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,c,c)
    | ~ m0(c,X1,e)
    | ~ n0(e,d)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_772,c_0_770]),
    [final] ).

cnf(c_0_965,plain,
    ( q3(X1,X2)
    | ~ s2(X1)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(e,b,b)
    | ~ m0(b,c,e)
    | ~ m0(c,X1,b)
    | ~ n0(e,X2)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_665,c_0_773]),
    [final] ).

cnf(c_0_966,plain,
    ( q3(X1,X1)
    | ~ n1(d,X1,c)
    | ~ k1(X1)
    | ~ m0(e,b,e)
    | ~ m0(b,c,e)
    | ~ m0(c,X1,b)
    | ~ n0(e,d)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_772,c_0_771]),
    [final] ).

cnf(c_0_967,plain,
    ( q3(X1,X1)
    | ~ n1(d,X1,c)
    | ~ k1(X1)
    | ~ m0(e,b,b)
    | ~ m0(b,c,e)
    | ~ m0(c,X1,b)
    | ~ n0(e,d)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_772,c_0_773]),
    [final] ).

cnf(c_0_968,plain,
    ( q3(X1,e)
    | ~ s2(X1)
    | ~ n1(e,X1,e)
    | ~ l1(X1,e)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,X1,c)
    | ~ n0(X1,e) ),
    inference(spm,[status(thm)],[c_0_665,c_0_774]),
    [final] ).

cnf(c_0_969,plain,
    ( q3(X1,X2)
    | ~ s2(X1)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(c,c,e)
    | ~ m0(c,X1,c)
    | ~ n0(e,X2)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_665,c_0_775]),
    [final] ).

cnf(c_0_970,plain,
    ( q3(X1,X2)
    | ~ s2(X1)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(e,c,e)
    | ~ m0(c,X1,e)
    | ~ n0(e,X2)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_665,c_0_776]),
    [final] ).

cnf(c_0_971,plain,
    ( q3(X1,X2)
    | ~ s2(X1)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(d,c,d)
    | ~ m0(c,X1,d)
    | ~ n0(e,X2)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_665,c_0_777]),
    [final] ).

cnf(c_0_972,plain,
    ( q3(X1,X2)
    | ~ s2(X1)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(b,c,b)
    | ~ m0(c,X1,b)
    | ~ n0(e,X2)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_665,c_0_778]),
    [final] ).

cnf(c_0_973,plain,
    ( q3(X1,X2)
    | ~ s2(X1)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(d,c,e)
    | ~ m0(c,X1,d)
    | ~ n0(e,X2)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_665,c_0_779]),
    [final] ).

cnf(c_0_974,plain,
    ( q3(X1,X2)
    | ~ s2(X1)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(e,c,d)
    | ~ m0(c,X1,e)
    | ~ n0(e,X2)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_665,c_0_780]),
    [final] ).

cnf(c_0_975,plain,
    ( q3(X1,X2)
    | ~ s2(X1)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(b,c,c)
    | ~ m0(c,X1,b)
    | ~ n0(e,X2)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_665,c_0_781]),
    [final] ).

cnf(c_0_976,plain,
    ( q3(X1,X2)
    | ~ s2(X1)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(d,c,b)
    | ~ m0(c,X1,d)
    | ~ n0(e,X2)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_665,c_0_782]),
    [final] ).

cnf(c_0_977,plain,
    ( q4(X1,X2)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(e,b,e)
    | ~ m0(b,c,e)
    | ~ m0(c,X1,b)
    | ~ n0(e,X2) ),
    inference(spm,[status(thm)],[c_0_783,c_0_651]),
    [final] ).

cnf(c_0_978,plain,
    ( q4(X1,X2)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,c,c)
    | ~ m0(c,X1,e)
    | ~ n0(e,X2) ),
    inference(spm,[status(thm)],[c_0_783,c_0_650]),
    [final] ).

cnf(c_0_979,plain,
    ( q4(X1,X2)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(e,b,b)
    | ~ m0(b,c,e)
    | ~ m0(c,X1,b)
    | ~ n0(e,X2) ),
    inference(spm,[status(thm)],[c_0_783,c_0_652]),
    [final] ).

cnf(c_0_980,plain,
    ( q3(X1,X1)
    | ~ n1(d,X1,c)
    | ~ k1(X1)
    | ~ m0(c,c,e)
    | ~ m0(c,X1,c)
    | ~ n0(e,d)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_772,c_0_775]),
    [final] ).

cnf(c_0_981,plain,
    ( q3(X1,X1)
    | ~ n1(d,X1,c)
    | ~ k1(X1)
    | ~ m0(e,c,e)
    | ~ m0(c,X1,e)
    | ~ n0(e,d)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_772,c_0_776]),
    [final] ).

cnf(c_0_982,plain,
    ( q3(X1,X1)
    | ~ n1(d,X1,c)
    | ~ k1(X1)
    | ~ m0(d,c,d)
    | ~ m0(c,X1,d)
    | ~ n0(e,d)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_772,c_0_777]),
    [final] ).

cnf(c_0_983,plain,
    ( q3(X1,X1)
    | ~ n1(d,X1,c)
    | ~ k1(X1)
    | ~ m0(b,c,b)
    | ~ m0(c,X1,b)
    | ~ n0(e,d)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_772,c_0_778]),
    [final] ).

cnf(c_0_984,plain,
    ( q3(X1,X1)
    | ~ n1(d,X1,c)
    | ~ k1(X1)
    | ~ m0(d,c,e)
    | ~ m0(c,X1,d)
    | ~ n0(e,d)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_772,c_0_779]),
    [final] ).

cnf(c_0_985,plain,
    ( q3(X1,X1)
    | ~ n1(d,X1,c)
    | ~ k1(X1)
    | ~ m0(e,c,d)
    | ~ m0(c,X1,e)
    | ~ n0(e,d)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_772,c_0_780]),
    [final] ).

cnf(c_0_986,plain,
    ( q3(X1,X1)
    | ~ n1(d,X1,c)
    | ~ k1(X1)
    | ~ m0(b,c,c)
    | ~ m0(c,X1,b)
    | ~ n0(e,d)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_772,c_0_781]),
    [final] ).

cnf(c_0_987,plain,
    ( p1(X1,X2,X3)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,X4,c)
    | ~ m0(X4,X3,e)
    | ~ m0(X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_215,c_0_650]),
    [final] ).

cnf(c_0_988,plain,
    ( q3(X1,X1)
    | ~ n1(d,X1,c)
    | ~ k1(X1)
    | ~ m0(d,c,b)
    | ~ m0(c,X1,d)
    | ~ n0(e,d)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_772,c_0_782]),
    [final] ).

cnf(c_0_989,plain,
    ( q2(X1,X2,X1)
    | ~ n1(X2,X1,X2)
    | ~ l1(X1,X2)
    | ~ m0(e,b,e)
    | ~ m0(b,X2,e)
    | ~ m0(X2,X1,b) ),
    inference(spm,[status(thm)],[c_0_402,c_0_651]),
    [final] ).

cnf(c_0_990,plain,
    ( k3(X1,X1,X2)
    | ~ m2(X3)
    | ~ m2(X4)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,X1,c)
    | ~ m0(X1,X2,e) ),
    inference(spm,[status(thm)],[c_0_318,c_0_650]),
    [final] ).

cnf(c_0_991,plain,
    ( q2(X1,X2,X1)
    | ~ n1(X2,X1,X2)
    | ~ l1(X1,X2)
    | ~ m0(e,c,e)
    | ~ m0(c,X2,e)
    | ~ m0(X2,X1,c) ),
    inference(spm,[status(thm)],[c_0_402,c_0_784]),
    [final] ).

cnf(c_0_992,plain,
    ( p1(X1,X2,X1)
    | ~ l0(X3)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,X1,c)
    | ~ m0(X1,X2,e) ),
    inference(spm,[status(thm)],[c_0_251,c_0_650]),
    [final] ).

cnf(c_0_993,plain,
    ( q2(X1,X2,X1)
    | ~ n1(X2,X1,X2)
    | ~ l1(X1,X2)
    | ~ m0(c,c,e)
    | ~ m0(c,X2,c)
    | ~ m0(X2,X1,c) ),
    inference(spm,[status(thm)],[c_0_402,c_0_785]),
    [final] ).

cnf(c_0_994,plain,
    ( q2(X1,X2,X1)
    | ~ n1(X2,X1,X2)
    | ~ l1(X1,X2)
    | ~ m0(e,b,b)
    | ~ m0(b,X2,e)
    | ~ m0(X2,X1,b) ),
    inference(spm,[status(thm)],[c_0_402,c_0_652]),
    [final] ).

cnf(c_0_995,plain,
    ( q2(X1,X2,X1)
    | ~ n1(X2,X1,X2)
    | ~ l1(X1,X2)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,X2,c)
    | ~ m0(X2,X1,e) ),
    inference(spm,[status(thm)],[c_0_402,c_0_650]),
    [final] ).

cnf(c_0_996,plain,
    ( q3(X1,X2)
    | ~ s2(X1)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(c,X1,a)
    | ~ n0(e,X2)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_665,c_0_786]),
    [final] ).

cnf(c_0_997,plain,
    ( k3(X1,X1,X2)
    | ~ m2(X3)
    | ~ m2(X4)
    | ~ m0(e,b,e)
    | ~ m0(b,X1,e)
    | ~ m0(X1,X2,b) ),
    inference(spm,[status(thm)],[c_0_318,c_0_651]),
    [final] ).

cnf(c_0_998,plain,
    ( q3(e,X1)
    | ~ s2(e)
    | ~ n1(X1,e,c)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ n0(e,X1) ),
    inference(spm,[status(thm)],[c_0_665,c_0_787]),
    [final] ).

cnf(c_0_999,plain,
    ( k3(X1,X1,X2)
    | ~ m2(X3)
    | ~ m2(X4)
    | ~ m0(e,c,e)
    | ~ m0(c,X1,e)
    | ~ m0(X1,X2,c) ),
    inference(spm,[status(thm)],[c_0_318,c_0_784]),
    [final] ).

cnf(c_0_1000,plain,
    ( k3(X1,X1,X2)
    | ~ m2(X3)
    | ~ m2(X4)
    | ~ m0(c,c,e)
    | ~ m0(c,X1,c)
    | ~ m0(X1,X2,c) ),
    inference(spm,[status(thm)],[c_0_318,c_0_785]),
    [final] ).

cnf(c_0_1001,plain,
    ( k3(X1,X1,X2)
    | ~ m2(X3)
    | ~ m2(X4)
    | ~ m0(e,b,b)
    | ~ m0(b,X1,e)
    | ~ m0(X1,X2,b) ),
    inference(spm,[status(thm)],[c_0_318,c_0_652]),
    [final] ).

cnf(c_0_1002,plain,
    ( q4(X1,X2)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(d,c,d)
    | ~ m0(c,X1,d)
    | ~ n0(e,X2) ),
    inference(spm,[status(thm)],[c_0_783,c_0_654]),
    [final] ).

cnf(c_0_1003,plain,
    ( q4(X1,X2)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(d,c,e)
    | ~ m0(c,X1,d)
    | ~ n0(e,X2) ),
    inference(spm,[status(thm)],[c_0_783,c_0_655]),
    [final] ).

cnf(c_0_1004,plain,
    ( q4(X1,X2)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(d,c,b)
    | ~ m0(c,X1,d)
    | ~ n0(e,X2) ),
    inference(spm,[status(thm)],[c_0_783,c_0_497]),
    [final] ).

cnf(c_0_1005,plain,
    ( q4(X1,X2)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(c,c,e)
    | ~ m0(c,X1,c)
    | ~ n0(e,X2) ),
    inference(spm,[status(thm)],[c_0_783,c_0_573]),
    [final] ).

cnf(c_0_1006,plain,
    ( q4(X1,X2)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(e,c,e)
    | ~ m0(c,X1,e)
    | ~ n0(e,X2) ),
    inference(spm,[status(thm)],[c_0_783,c_0_572]),
    [final] ).

cnf(c_0_1007,plain,
    ( q4(X1,X2)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(b,c,b)
    | ~ m0(c,X1,b)
    | ~ n0(e,X2) ),
    inference(spm,[status(thm)],[c_0_783,c_0_397]),
    [final] ).

cnf(c_0_1008,plain,
    ( q4(X1,X2)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(e,c,d)
    | ~ m0(c,X1,e)
    | ~ n0(e,X2) ),
    inference(spm,[status(thm)],[c_0_783,c_0_498]),
    [final] ).

cnf(c_0_1009,plain,
    ( p2(e,X1,X2)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,e,c)
    | ~ m0(e,X1,e) ),
    inference(spm,[status(thm)],[c_0_331,c_0_650]),
    [final] ).

cnf(c_0_1010,plain,
    ( q4(X1,X2)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(b,c,c)
    | ~ m0(c,X1,b)
    | ~ n0(e,X2) ),
    inference(spm,[status(thm)],[c_0_783,c_0_656]),
    [final] ).

cnf(c_0_1011,plain,
    ( p1(X1,X2,X3)
    | ~ m0(e,b,e)
    | ~ m0(b,X4,e)
    | ~ m0(X4,X3,b)
    | ~ m0(X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_215,c_0_651]),
    [final] ).

cnf(c_0_1012,plain,
    ( p1(X1,X2,X3)
    | ~ m0(e,c,e)
    | ~ m0(c,X4,e)
    | ~ m0(X4,X3,c)
    | ~ m0(X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_215,c_0_784]),
    [final] ).

cnf(c_0_1013,plain,
    ( p1(X1,X2,X3)
    | ~ m0(c,c,e)
    | ~ m0(c,X4,c)
    | ~ m0(X4,X3,c)
    | ~ m0(X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_215,c_0_785]),
    [final] ).

cnf(c_0_1014,plain,
    ( q3(X1,d)
    | ~ s2(X1)
    | ~ n1(d,X1,d)
    | ~ l1(X1,d)
    | ~ m0(d,X1,d)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_665,c_0_788]),
    [final] ).

cnf(c_0_1015,plain,
    ( q3(X1,d)
    | ~ s2(X1)
    | ~ n1(d,X1,d)
    | ~ l1(X1,d)
    | ~ m0(d,X1,e)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_665,c_0_789]),
    [final] ).

cnf(c_0_1016,plain,
    ( q3(X1,d)
    | ~ s2(X1)
    | ~ n1(d,X1,d)
    | ~ l1(X1,d)
    | ~ m0(d,X1,b)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_665,c_0_790]),
    [final] ).

cnf(c_0_1017,plain,
    ( p1(X1,X2,X3)
    | ~ m0(e,b,b)
    | ~ m0(b,X4,e)
    | ~ m0(X4,X3,b)
    | ~ m0(X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_215,c_0_652]),
    [final] ).

cnf(c_0_1018,plain,
    ( q3(X1,X1)
    | ~ n1(d,X1,c)
    | ~ k1(X1)
    | ~ m0(c,X1,a)
    | ~ n0(e,d)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_772,c_0_786]),
    [final] ).

cnf(c_0_1019,plain,
    ( q3(X1,c)
    | ~ s2(X1)
    | ~ l1(X1,c)
    | ~ m0(e,c,e)
    | ~ m0(c,X1,e)
    | ~ n0(X1,c) ),
    inference(spm,[status(thm)],[c_0_665,c_0_791]),
    [final] ).

cnf(c_0_1020,plain,
    ( q3(X1,c)
    | ~ s2(X1)
    | ~ l1(X1,c)
    | ~ m0(c,c,e)
    | ~ m0(c,X1,c)
    | ~ n0(X1,c) ),
    inference(spm,[status(thm)],[c_0_665,c_0_792]),
    [final] ).

cnf(c_0_1021,plain,
    ( q3(X1,e)
    | ~ s2(X1)
    | ~ n1(e,X1,e)
    | ~ l1(X1,e)
    | ~ m0(e,X1,d)
    | ~ n0(X1,e) ),
    inference(spm,[status(thm)],[c_0_665,c_0_793]),
    [final] ).

cnf(c_0_1022,plain,
    ( q3(e,c)
    | ~ s2(e)
    | ~ l1(e,c)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ n0(e,c) ),
    inference(spm,[status(thm)],[c_0_665,c_0_794]),
    [final] ).

cnf(c_0_1023,plain,
    ( p1(X1,X2,X1)
    | ~ l0(X3)
    | ~ m0(e,b,e)
    | ~ m0(b,X1,e)
    | ~ m0(X1,X2,b) ),
    inference(spm,[status(thm)],[c_0_251,c_0_651]),
    [final] ).

cnf(c_0_1024,plain,
    ( p1(X1,X2,X1)
    | ~ l0(X3)
    | ~ m0(e,c,e)
    | ~ m0(c,X1,e)
    | ~ m0(X1,X2,c) ),
    inference(spm,[status(thm)],[c_0_251,c_0_784]),
    [final] ).

cnf(c_0_1025,plain,
    ( p1(X1,X2,X1)
    | ~ l0(X3)
    | ~ m0(c,c,e)
    | ~ m0(c,X1,c)
    | ~ m0(X1,X2,c) ),
    inference(spm,[status(thm)],[c_0_251,c_0_785]),
    [final] ).

cnf(c_0_1026,plain,
    ( p1(X1,X2,X1)
    | ~ l0(X3)
    | ~ m0(e,b,b)
    | ~ m0(b,X1,e)
    | ~ m0(X1,X2,b) ),
    inference(spm,[status(thm)],[c_0_251,c_0_652]),
    [final] ).

cnf(c_0_1027,plain,
    ( p3(X1,X2,X3)
    | ~ k2(X2,X3)
    | ~ p1(X1,X1,c)
    | ~ n1(d,X1,c)
    | ~ k1(X1)
    | ~ n0(e,d) ),
    inference(spm,[status(thm)],[c_0_539,c_0_504]),
    [final] ).

cnf(c_0_1028,plain,
    ( q4(e,X1)
    | ~ n1(X1,e,c)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ n0(e,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_783,c_0_494]),c_0_265])]),
    [final] ).

cnf(c_0_1029,plain,
    ( q2(X1,X2,X1)
    | ~ n1(X2,X1,X2)
    | ~ l1(X1,X2)
    | ~ m0(d,X2,d)
    | ~ m0(X2,X1,d) ),
    inference(spm,[status(thm)],[c_0_402,c_0_654]),
    [final] ).

cnf(c_0_1030,plain,
    ( q3(X1,X1)
    | ~ n1(d,X1,d)
    | ~ l1(X1,d)
    | ~ m0(d,X1,d)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_772,c_0_788]),
    [final] ).

cnf(c_0_1031,plain,
    ( q3(X1,X1)
    | ~ n1(d,X1,d)
    | ~ l1(X1,d)
    | ~ m0(d,X1,e)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_772,c_0_789]),
    [final] ).

cnf(c_0_1032,plain,
    ( q3(X1,X1)
    | ~ n1(d,X1,d)
    | ~ l1(X1,d)
    | ~ m0(d,X1,b)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_772,c_0_790]),
    [final] ).

cnf(c_0_1033,plain,
    ( p3(a,e,X1)
    | ~ q2(d,c,a)
    | ~ n1(d,a,a)
    | ~ k1(X1)
    | ~ q0(e,c) ),
    inference(spm,[status(thm)],[c_0_664,c_0_359]),
    [final] ).

cnf(c_0_1034,plain,
    ( q2(X1,X2,X1)
    | ~ n1(X2,X1,X2)
    | ~ l1(X1,X2)
    | ~ m0(d,X2,e)
    | ~ m0(X2,X1,d) ),
    inference(spm,[status(thm)],[c_0_402,c_0_655]),
    [final] ).

cnf(c_0_1035,plain,
    ( p3(a,b,X1)
    | ~ q2(d,c,a)
    | ~ n1(d,a,a)
    | ~ k1(X1)
    | ~ q0(e,c) ),
    inference(spm,[status(thm)],[c_0_664,c_0_278]),
    [final] ).

cnf(c_0_1036,plain,
    ( q2(X1,X2,X1)
    | ~ n1(X2,X1,X2)
    | ~ l1(X1,X2)
    | ~ m0(b,X2,c)
    | ~ m0(X2,X1,b) ),
    inference(spm,[status(thm)],[c_0_402,c_0_656]),
    [final] ).

cnf(c_0_1037,plain,
    ( k3(b,b,X1)
    | ~ m2(X2)
    | ~ m2(X3)
    | ~ m0(e,b,e)
    | ~ m0(b,X1,e) ),
    inference(spm,[status(thm)],[c_0_318,c_0_564]),
    [final] ).

cnf(c_0_1038,plain,
    ( q3(a,d)
    | ~ s2(a)
    | ~ q2(d,c,a)
    | ~ n1(d,a,a)
    | ~ n0(a,d)
    | ~ q0(e,c) ),
    inference(spm,[status(thm)],[c_0_665,c_0_795]),
    [final] ).

cnf(c_0_1039,plain,
    ( k3(c,c,X1)
    | ~ m2(X2)
    | ~ m2(X3)
    | ~ m0(e,c,e)
    | ~ m0(c,X1,e) ),
    inference(spm,[status(thm)],[c_0_318,c_0_572]),
    [final] ).

cnf(c_0_1040,plain,
    ( p2(e,X1,X2)
    | ~ m0(e,b,e)
    | ~ m0(b,e,e)
    | ~ m0(e,X1,b) ),
    inference(spm,[status(thm)],[c_0_331,c_0_651]),
    [final] ).

cnf(c_0_1041,plain,
    ( p2(e,X1,X2)
    | ~ m0(e,c,e)
    | ~ m0(c,e,e)
    | ~ m0(e,X1,c) ),
    inference(spm,[status(thm)],[c_0_331,c_0_784]),
    [final] ).

cnf(c_0_1042,plain,
    ( p2(e,X1,X2)
    | ~ m0(c,c,e)
    | ~ m0(c,e,c)
    | ~ m0(e,X1,c) ),
    inference(spm,[status(thm)],[c_0_331,c_0_785]),
    [final] ).

cnf(c_0_1043,plain,
    ( k3(c,c,X1)
    | ~ m2(X2)
    | ~ m2(X3)
    | ~ m0(c,c,e)
    | ~ m0(c,X1,c) ),
    inference(spm,[status(thm)],[c_0_318,c_0_573]),
    [final] ).

cnf(c_0_1044,plain,
    ( p2(e,X1,X2)
    | ~ m0(e,b,b)
    | ~ m0(b,e,e)
    | ~ m0(e,X1,b) ),
    inference(spm,[status(thm)],[c_0_331,c_0_652]),
    [final] ).

cnf(c_0_1045,plain,
    ( n4(a,X1)
    | ~ q2(d,c,a)
    | ~ n1(d,a,a)
    | ~ q0(e,c) ),
    inference(spm,[status(thm)],[c_0_741,c_0_796]),
    [final] ).

cnf(c_0_1046,plain,
    ( q3(c,X1)
    | ~ s2(c)
    | ~ n1(X1,c,c)
    | ~ n0(e,X1)
    | ~ n0(c,X1) ),
    inference(spm,[status(thm)],[c_0_665,c_0_797]),
    [final] ).

cnf(c_0_1047,plain,
    ( q3(b,X1)
    | ~ s2(b)
    | ~ n1(X1,b,c)
    | ~ n0(e,X1)
    | ~ n0(b,X1) ),
    inference(spm,[status(thm)],[c_0_665,c_0_798]),
    [final] ).

cnf(c_0_1048,plain,
    ( q3(X1,X1)
    | ~ n1(X1,d,c)
    | ~ n0(e,X1)
    | ~ n0(d,X1) ),
    inference(spm,[status(thm)],[c_0_772,c_0_799]),
    [final] ).

cnf(c_0_1049,plain,
    ( q4(X1,X2)
    | ~ n1(X2,X1,c)
    | ~ k1(X1)
    | ~ m0(c,X1,a)
    | ~ n0(e,X2) ),
    inference(spm,[status(thm)],[c_0_783,c_0_252]),
    [final] ).

cnf(c_0_1050,plain,
    ( k3(X1,X1,X2)
    | ~ m2(X3)
    | ~ m2(X4)
    | ~ m0(d,X1,d)
    | ~ m0(X1,X2,d) ),
    inference(spm,[status(thm)],[c_0_318,c_0_654]),
    [final] ).

cnf(c_0_1051,plain,
    ( k3(X1,X1,X2)
    | ~ m2(X3)
    | ~ m2(X4)
    | ~ m0(d,X1,e)
    | ~ m0(X1,X2,d) ),
    inference(spm,[status(thm)],[c_0_318,c_0_655]),
    [final] ).

cnf(c_0_1052,plain,
    ( k3(b,b,X1)
    | ~ m2(X2)
    | ~ m2(X3)
    | ~ m0(e,b,b)
    | ~ m0(b,X1,e) ),
    inference(spm,[status(thm)],[c_0_318,c_0_565]),
    [final] ).

cnf(c_0_1053,plain,
    ( p3(a,X1,d)
    | ~ q2(d,c,a)
    | ~ n1(d,a,a)
    | ~ q0(e,c) ),
    inference(spm,[status(thm)],[c_0_664,c_0_425]),
    [final] ).

cnf(c_0_1054,plain,
    ( p3(a,e,a)
    | ~ q2(d,c,a)
    | ~ n1(d,a,a)
    | ~ q0(e,c) ),
    inference(spm,[status(thm)],[c_0_664,c_0_800]),
    [final] ).

cnf(c_0_1055,plain,
    ( p3(a,e,b)
    | ~ q2(d,c,a)
    | ~ n1(d,a,a)
    | ~ q0(e,c) ),
    inference(spm,[status(thm)],[c_0_664,c_0_801]),
    [final] ).

cnf(c_0_1056,plain,
    ( p3(a,b,e)
    | ~ q2(d,c,a)
    | ~ n1(d,a,a)
    | ~ q0(e,c) ),
    inference(spm,[status(thm)],[c_0_664,c_0_673]),
    [final] ).

cnf(c_0_1057,plain,
    ( p3(a,b,a)
    | ~ q2(d,c,a)
    | ~ n1(d,a,a)
    | ~ q0(e,c) ),
    inference(spm,[status(thm)],[c_0_664,c_0_802]),
    [final] ).

cnf(c_0_1058,plain,
    ( k3(X1,X1,X2)
    | ~ m2(X3)
    | ~ m2(X4)
    | ~ m0(d,X1,b)
    | ~ m0(X1,X2,d) ),
    inference(spm,[status(thm)],[c_0_318,c_0_497]),
    [final] ).

cnf(c_0_1059,plain,
    ( k3(X1,X1,X2)
    | ~ m2(X3)
    | ~ m2(X4)
    | ~ m0(b,X1,c)
    | ~ m0(X1,X2,b) ),
    inference(spm,[status(thm)],[c_0_318,c_0_656]),
    [final] ).

cnf(c_0_1060,plain,
    ( k3(X1,X1,X2)
    | ~ m2(X3)
    | ~ m2(X4)
    | ~ m0(e,X1,d)
    | ~ m0(X1,X2,e) ),
    inference(spm,[status(thm)],[c_0_318,c_0_498]),
    [final] ).

cnf(c_0_1061,plain,
    ( k3(X1,X1,X2)
    | ~ m2(X3)
    | ~ m2(X4)
    | ~ m0(b,X1,b)
    | ~ m0(X1,X2,b) ),
    inference(spm,[status(thm)],[c_0_318,c_0_397]),
    [final] ).

cnf(c_0_1062,plain,
    ( p3(a,c,e)
    | ~ q2(d,c,a)
    | ~ n1(d,a,a)
    | ~ q0(e,c) ),
    inference(spm,[status(thm)],[c_0_664,c_0_583]),
    [final] ).

cnf(c_0_1063,plain,
    ( p1(X1,X2,X3)
    | ~ m0(d,X4,d)
    | ~ m0(X4,X3,d)
    | ~ m0(X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_215,c_0_654]),
    [final] ).

cnf(c_0_1064,plain,
    ( p1(X1,X2,X3)
    | ~ m0(d,X4,e)
    | ~ m0(X4,X3,d)
    | ~ m0(X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_215,c_0_655]),
    [final] ).

cnf(c_0_1065,plain,
    ( p3(a,c,a)
    | ~ q2(d,c,a)
    | ~ n1(d,a,a)
    | ~ q0(e,c) ),
    inference(spm,[status(thm)],[c_0_664,c_0_295]),
    [final] ).

cnf(c_0_1066,plain,
    ( p1(X1,X2,X1)
    | ~ l0(X3)
    | ~ m0(d,X1,d)
    | ~ m0(X1,X2,d) ),
    inference(spm,[status(thm)],[c_0_251,c_0_654]),
    [final] ).

cnf(c_0_1067,plain,
    ( p3(a,c,b)
    | ~ q2(d,c,a)
    | ~ n1(d,a,a)
    | ~ q0(e,c) ),
    inference(spm,[status(thm)],[c_0_664,c_0_409]),
    [final] ).

cnf(c_0_1068,plain,
    ( p1(e,X1,e)
    | ~ l0(X2)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,X1,c) ),
    inference(spm,[status(thm)],[c_0_251,c_0_563]),
    [final] ).

cnf(c_0_1069,plain,
    ( p1(X1,X2,X3)
    | ~ m0(b,X4,c)
    | ~ m0(X4,X3,b)
    | ~ m0(X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_215,c_0_656]),
    [final] ).

cnf(c_0_1070,plain,
    ( p2(e,X1,X2)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,X1,c) ),
    inference(spm,[status(thm)],[c_0_331,c_0_563]),
    [final] ).

cnf(c_0_1071,plain,
    ( p1(X1,X2,X1)
    | ~ l0(X3)
    | ~ m0(d,X1,e)
    | ~ m0(X1,X2,d) ),
    inference(spm,[status(thm)],[c_0_251,c_0_655]),
    [final] ).

cnf(c_0_1072,plain,
    ( q3(X1,b)
    | ~ s2(X1)
    | ~ n1(b,X1,b)
    | ~ l1(X1,b)
    | ~ n0(X1,b) ),
    inference(spm,[status(thm)],[c_0_665,c_0_803]),
    [final] ).

cnf(c_0_1073,plain,
    ( p1(X1,X2,X1)
    | ~ l0(X3)
    | ~ m0(d,X1,b)
    | ~ m0(X1,X2,d) ),
    inference(spm,[status(thm)],[c_0_251,c_0_497]),
    [final] ).

cnf(c_0_1074,plain,
    ( r3(X1,X2,c)
    | ~ k2(X2,c)
    | ~ n1(X1,b,c)
    | ~ n0(e,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_504]),c_0_493]),c_0_279])]),
    [final] ).

cnf(c_0_1075,plain,
    ( p1(c,X1,c)
    | ~ l0(X2)
    | ~ m0(e,c,e)
    | ~ m0(c,X1,e) ),
    inference(spm,[status(thm)],[c_0_251,c_0_572]),
    [final] ).

cnf(c_0_1076,plain,
    ( k3(e,e,X1)
    | ~ m2(X2)
    | ~ m2(X3)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e)
    | ~ m0(e,X1,c) ),
    inference(spm,[status(thm)],[c_0_318,c_0_563]),
    [final] ).

cnf(c_0_1077,plain,
    ( q4(c,X1)
    | ~ n1(X1,c,c)
    | ~ n0(e,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_783,c_0_216]),c_0_459])]),
    [final] ).

cnf(c_0_1078,plain,
    ( q4(d,X1)
    | ~ n1(X1,d,c)
    | ~ n0(e,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_783,c_0_325]),c_0_379])]),
    [final] ).

cnf(c_0_1079,plain,
    ( q4(b,X1)
    | ~ n1(X1,b,c)
    | ~ n0(e,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_783,c_0_493]),c_0_279])]),
    [final] ).

cnf(c_0_1080,plain,
    ( p1(X1,X2,X1)
    | ~ l0(X3)
    | ~ m0(b,X1,c)
    | ~ m0(X1,X2,b) ),
    inference(spm,[status(thm)],[c_0_251,c_0_656]),
    [final] ).

cnf(c_0_1081,plain,
    ( p1(X1,X2,X1)
    | ~ l0(X3)
    | ~ m0(e,X1,d)
    | ~ m0(X1,X2,e) ),
    inference(spm,[status(thm)],[c_0_251,c_0_498]),
    [final] ).

cnf(c_0_1082,plain,
    ( p1(X1,X2,X1)
    | ~ l0(X3)
    | ~ m0(b,X1,b)
    | ~ m0(X1,X2,b) ),
    inference(spm,[status(thm)],[c_0_251,c_0_397]),
    [final] ).

cnf(c_0_1083,plain,
    ( r3(X1,X2,e)
    | ~ q2(b,X1,b)
    | ~ k2(X2,e)
    | ~ l0(e) ),
    inference(spm,[status(thm)],[c_0_804,c_0_270]),
    [final] ).

cnf(c_0_1084,plain,
    ( r3(c,X1,e)
    | ~ r2(e)
    | ~ k2(X1,e)
    | ~ n1(e,b,e) ),
    inference(spm,[status(thm)],[c_0_253,c_0_805]),
    [final] ).

cnf(c_0_1085,plain,
    ( p2(e,X1,X2)
    | ~ m0(b,e,c)
    | ~ m0(e,X1,b) ),
    inference(spm,[status(thm)],[c_0_331,c_0_656]),
    [final] ).

cnf(c_0_1086,plain,
    ( r3(X1,X2,b)
    | ~ q2(b,X1,b)
    | ~ k2(X2,b)
    | ~ l0(b) ),
    inference(spm,[status(thm)],[c_0_806,c_0_270]),
    [final] ).

cnf(c_0_1087,plain,
    ( p1(c,e,c)
    | ~ m0(c,e,b)
    | ~ m0(b,c,e) ),
    inference(spm,[status(thm)],[c_0_807,c_0_271]),
    [final] ).

cnf(c_0_1088,plain,
    ( k3(b,b,X1)
    | ~ m2(X2)
    | ~ m2(X3)
    | ~ m0(b,X1,c) ),
    inference(spm,[status(thm)],[c_0_318,c_0_568]),
    [final] ).

cnf(c_0_1089,plain,
    ( k3(e,e,X1)
    | ~ m2(X2)
    | ~ m2(X3)
    | ~ m0(e,X1,d) ),
    inference(spm,[status(thm)],[c_0_318,c_0_446]),
    [final] ).

cnf(c_0_1090,plain,
    ( p2(e,X1,X2)
    | ~ m0(e,e,d)
    | ~ m0(e,X1,e) ),
    inference(spm,[status(thm)],[c_0_331,c_0_498]),
    [final] ).

cnf(c_0_1091,plain,
    ( p2(e,X1,X2)
    | ~ m0(b,e,b)
    | ~ m0(e,X1,b) ),
    inference(spm,[status(thm)],[c_0_331,c_0_397]),
    [final] ).

cnf(c_0_1092,plain,
    ( r3(c,e,e)
    | ~ l0(e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_808,c_0_359]),c_0_265])]),
    [final] ).

cnf(c_0_1093,plain,
    ( r3(e,e,c)
    | ~ l0(e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_359]),c_0_459])]),
    [final] ).

cnf(c_0_1094,plain,
    ( r3(e,b,c)
    | ~ l0(e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_278]),c_0_459])]),
    [final] ).

cnf(c_0_1095,plain,
    ( r3(c,b,X1)
    | ~ k1(X1)
    | ~ k0(X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_809,c_0_270]),
    [final] ).

cnf(c_0_1096,plain,
    ( r3(e,e,c)
    | ~ n1(e,b,e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_359]),c_0_459])]),
    [final] ).

cnf(c_0_1097,plain,
    ( r3(e,b,c)
    | ~ n1(e,b,e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_278]),c_0_459])]),
    [final] ).

cnf(c_0_1098,plain,
    ( q3(a,b)
    | ~ s2(a)
    | ~ l1(a,b) ),
    inference(spm,[status(thm)],[c_0_665,c_0_810]),
    [final] ).

cnf(c_0_1099,plain,
    ( r3(c,X1,X1)
    | ~ k0(X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_811,c_0_270]),
    [final] ).

cnf(c_0_1100,plain,
    ( r3(c,a,e)
    | ~ l0(e) ),
    inference(spm,[status(thm)],[c_0_812,c_0_270]),
    [final] ).

cnf(c_0_1101,plain,
    ( r3(c,b,e)
    | ~ l0(e) ),
    inference(spm,[status(thm)],[c_0_813,c_0_270]),
    [final] ).

cnf(c_0_1102,plain,
    ( r3(c,c,e)
    | ~ l0(e) ),
    inference(spm,[status(thm)],[c_0_814,c_0_270]),
    [final] ).

cnf(c_0_1103,plain,
    ( r3(c,e,b)
    | ~ l0(b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_815,c_0_359]),c_0_279])]),
    [final] ).

cnf(c_0_1104,plain,
    ( r3(c,a,b)
    | ~ l0(b) ),
    inference(spm,[status(thm)],[c_0_815,c_0_816]),
    [final] ).

cnf(c_0_1105,plain,
    ( r3(c,e,b)
    | ~ r2(b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_801]),c_0_292])]),
    [final] ).

cnf(c_0_1106,plain,
    ( r3(c,a,b)
    | ~ r2(b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_816]),c_0_292])]),
    [final] ).

cnf(c_0_1107,plain,
    ( r3(c,b,b)
    | ~ l0(b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_815,c_0_278]),c_0_279])]),
    [final] ).

cnf(c_0_1108,plain,
    ( r3(X1,e,c)
    | ~ k0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_359]),c_0_459])]),
    [final] ).

cnf(c_0_1109,plain,
    ( r3(X1,b,c)
    | ~ k0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_278]),c_0_459])]),
    [final] ).

cnf(c_0_1110,plain,
    ( q4(a,d)
    | ~ q2(d,c,a)
    | ~ n1(d,a,a)
    | ~ q0(e,c) ),
    inference(spm,[status(thm)],[c_0_485,c_0_574]),
    [final] ).

cnf(c_0_1111,plain,
    ( r3(c,X1,c)
    | ~ k2(X1,c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_449]),c_0_279]),c_0_335])]),
    [final] ).

cnf(c_0_1112,plain,
    ( k3(b,b,X1)
    | ~ m2(X2)
    | ~ m2(X3)
    | ~ m0(b,X1,b) ),
    inference(spm,[status(thm)],[c_0_318,c_0_353]),
    [final] ).

cnf(c_0_1113,plain,
    ( p3(e,e,X1)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_737,c_0_359]),
    [final] ).

cnf(c_0_1114,plain,
    ( p3(e,b,X1)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_737,c_0_278]),
    [final] ).

cnf(c_0_1115,plain,
    ( r3(e,e,X1)
    | ~ s0(X1) ),
    inference(spm,[status(thm)],[c_0_817,c_0_514]),
    [final] ).

cnf(c_0_1116,plain,
    ( q2(e,d,e)
    | ~ n1(d,e,d)
    | ~ l1(e,d) ),
    inference(spm,[status(thm)],[c_0_402,c_0_398]),
    [final] ).

cnf(c_0_1117,plain,
    ( q3(b,c)
    | ~ s2(b)
    | ~ l1(b,c)
    | ~ n0(b,c) ),
    inference(spm,[status(thm)],[c_0_665,c_0_818]),
    [final] ).

cnf(c_0_1118,plain,
    ( q3(c,e)
    | ~ s2(c)
    | ~ l1(c,e)
    | ~ n0(c,e) ),
    inference(spm,[status(thm)],[c_0_665,c_0_819]),
    [final] ).

cnf(c_0_1119,plain,
    ( q3(X1,a)
    | ~ s2(X1)
    | ~ l1(X1,a)
    | ~ n0(X1,a) ),
    inference(spm,[status(thm)],[c_0_665,c_0_820]),
    [final] ).

cnf(c_0_1120,plain,
    ( k3(X1,X1,X2)
    | ~ m2(X3)
    | ~ m2(X4)
    | ~ m0(X1,X2,a) ),
    inference(spm,[status(thm)],[c_0_318,c_0_252]),
    [final] ).

cnf(c_0_1121,plain,
    ( n4(X1,c)
    | ~ q2(b,c,d)
    | ~ p2(X1,c,d) ),
    inference(spm,[status(thm)],[c_0_741,c_0_821]),
    [final] ).

cnf(c_0_1122,plain,
    ( q3(X1,c)
    | ~ s2(X1)
    | ~ k1(X1)
    | ~ n0(e,d) ),
    inference(spm,[status(thm)],[c_0_665,c_0_822]),
    [final] ).

cnf(c_0_1123,plain,
    ( n4(X1,X2)
    | ~ p2(X1,X2,d)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_741,c_0_823]),
    [final] ).

cnf(c_0_1124,plain,
    ( q3(X1,a)
    | ~ s2(X1)
    | ~ k0(X1)
    | ~ n0(X1,a) ),
    inference(spm,[status(thm)],[c_0_665,c_0_824]),
    [final] ).

cnf(c_0_1125,plain,
    ( q3(X1,c)
    | ~ s2(X1)
    | ~ k0(X1)
    | ~ n0(X1,c) ),
    inference(spm,[status(thm)],[c_0_665,c_0_825]),
    [final] ).

cnf(c_0_1126,plain,
    ( q3(X1,c)
    | ~ s2(X1)
    | ~ k1(X1)
    | ~ n0(X1,c) ),
    inference(spm,[status(thm)],[c_0_665,c_0_826]),
    [final] ).

cnf(c_0_1127,plain,
    ( p1(e,X1,e)
    | ~ l0(X2)
    | ~ m0(e,X1,d) ),
    inference(spm,[status(thm)],[c_0_251,c_0_446]),
    [final] ).

cnf(c_0_1128,plain,
    ( m5(X1,X2)
    | ~ l0(X2)
    | ~ r0(X1)
    | ~ s0(X1) ),
    inference(spm,[status(thm)],[c_0_827,c_0_828]),
    [final] ).

cnf(c_0_1129,plain,
    ( r3(X1,X1,b)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_687,c_0_348]),
    [final] ).

cnf(c_0_1130,plain,
    ( p3(X1,e,e)
    | ~ l0(e) ),
    inference(spm,[status(thm)],[c_0_829,c_0_519]),
    [final] ).

cnf(c_0_1131,plain,
    ( p3(X1,e,e)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_829,c_0_411]),
    [final] ).

cnf(c_0_1132,plain,
    ( p3(X1,c,c)
    | ~ p2(X1,c,X2)
    | ~ l0(X2) ),
    inference(spm,[status(thm)],[c_0_605,c_0_830]),
    [final] ).

cnf(c_0_1133,plain,
    ( m5(d,b)
    | ~ l0(b)
    | ~ l0(d)
    | ~ r0(d) ),
    inference(spm,[status(thm)],[c_0_827,c_0_831]),
    [final] ).

cnf(c_0_1134,plain,
    ( r3(e,X1,d)
    | ~ l0(e)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_832,c_0_270]),
    [final] ).

cnf(c_0_1135,plain,
    ( p1(X1,X2,X3)
    | ~ m0(X3,X3,b)
    | ~ m0(X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_215,c_0_833]),
    [final] ).

cnf(c_0_1136,plain,
    ( r3(d,d,X1)
    | ~ s0(X1) ),
    inference(spm,[status(thm)],[c_0_834,c_0_514]),
    [final] ).

cnf(c_0_1137,plain,
    ( r3(d,a,e)
    | ~ l0(e) ),
    inference(spm,[status(thm)],[c_0_595,c_0_672]),
    [final] ).

cnf(c_0_1138,plain,
    ( r3(d,b,e)
    | ~ l0(e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_278]),c_0_265])]),
    [final] ).

cnf(c_0_1139,plain,
    ( r3(d,c,e)
    | ~ l0(e) ),
    inference(spm,[status(thm)],[c_0_595,c_0_583]),
    [final] ).

cnf(c_0_1140,plain,
    ( m5(X1,c)
    | ~ r0(X1)
    | ~ s0(X1) ),
    inference(spm,[status(thm)],[c_0_827,c_0_835]),
    [final] ).

cnf(c_0_1141,plain,
    ( r3(d,e,b)
    | ~ l0(b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_521,c_0_359]),c_0_279])]),
    [final] ).

cnf(c_0_1142,plain,
    ( r3(d,a,b)
    | ~ l0(b) ),
    inference(spm,[status(thm)],[c_0_521,c_0_816]),
    [final] ).

cnf(c_0_1143,plain,
    ( r3(d,c,b)
    | ~ l0(b) ),
    inference(spm,[status(thm)],[c_0_521,c_0_409]),
    [final] ).

cnf(c_0_1144,plain,
    ( q4(b,e)
    | ~ n1(e,b,e) ),
    inference(spm,[status(thm)],[c_0_485,c_0_577]),
    [final] ).

cnf(c_0_1145,plain,
    ( m5(X1,a)
    | ~ r0(X1)
    | ~ s0(X1) ),
    inference(spm,[status(thm)],[c_0_827,c_0_836]),
    [final] ).

cnf(c_0_1146,plain,
    ( m3(a,a,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_837,c_0_270]),
    [final] ).

cnf(c_0_1147,plain,
    ( m5(a,X1)
    | ~ r0(a) ),
    inference(spm,[status(thm)],[c_0_686,c_0_838]),
    [final] ).

cnf(c_0_1148,plain,
    ( p2(e,X1,X2)
    | ~ m0(e,X1,d) ),
    inference(spm,[status(thm)],[c_0_331,c_0_446]),
    [final] ).

cnf(c_0_1149,plain,
    ( n4(X1,d)
    | ~ p2(X1,d,a) ),
    inference(spm,[status(thm)],[c_0_741,c_0_839]),
    [final] ).

cnf(c_0_1150,plain,
    ( p3(X1,e,e)
    | ~ p2(X1,e,a) ),
    inference(spm,[status(thm)],[c_0_605,c_0_840]),
    [final] ).

cnf(c_0_1151,plain,
    ( n1(e,a,a)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_841,c_0_462]),
    [final] ).

cnf(c_0_1152,plain,
    ( n1(e,a,a)
    | ~ l0(e) ),
    inference(spm,[status(thm)],[c_0_841,c_0_842]),
    [final] ).

cnf(c_0_1153,plain,
    ( n1(e,a,a)
    | ~ l0(b) ),
    inference(spm,[status(thm)],[c_0_841,c_0_482]),
    [final] ).

cnf(c_0_1154,plain,
    ( p3(X1,e,e)
    | ~ p2(X1,e,c) ),
    inference(spm,[status(thm)],[c_0_605,c_0_843]),
    [final] ).

cnf(c_0_1155,plain,
    ( n4(X1,d)
    | ~ p2(X1,d,c) ),
    inference(spm,[status(thm)],[c_0_741,c_0_844]),
    [final] ).

cnf(c_0_1156,plain,
    ( n1(b,a,a)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_845,c_0_462]),
    [final] ).

cnf(c_0_1157,plain,
    ( n1(b,a,a)
    | ~ l0(b) ),
    inference(spm,[status(thm)],[c_0_845,c_0_453]),
    [final] ).

cnf(c_0_1158,plain,
    ( p3(e,e,X1)
    | ~ l0(e) ),
    inference(spm,[status(thm)],[c_0_846,c_0_270]),
    [final] ).

cnf(c_0_1159,plain,
    ( n4(X1,X2)
    | ~ p2(X1,X2,e) ),
    inference(spm,[status(thm)],[c_0_741,c_0_847]),
    [final] ).

cnf(c_0_1160,plain,
    ( p3(X1,e,e)
    | ~ s0(e) ),
    inference(spm,[status(thm)],[c_0_848,c_0_519]),
    [final] ).

cnf(c_0_1161,plain,
    ( p3(b,b,X1)
    | ~ l0(b) ),
    inference(spm,[status(thm)],[c_0_849,c_0_270]),
    [final] ).

cnf(c_0_1162,plain,
    ( m3(b,b,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_850,c_0_270]),
    [final] ).

cnf(c_0_1163,plain,
    ( p2(e,b,X1)
    | ~ m0(e,b,e) ),
    inference(spm,[status(thm)],[c_0_331,c_0_495]),
    [final] ).

cnf(c_0_1164,plain,
    ( m5(X1,X1)
    | ~ s4(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_851,c_0_745])]),
    [final] ).

cnf(c_0_1165,plain,
    ( p2(e,c,X1)
    | ~ m0(e,c,e) ),
    inference(spm,[status(thm)],[c_0_331,c_0_501]),
    [final] ).

cnf(c_0_1166,plain,
    ( m5(d,c)
    | ~ l0(d)
    | ~ r0(d) ),
    inference(spm,[status(thm)],[c_0_827,c_0_852]),
    [final] ).

cnf(c_0_1167,plain,
    ( p2(b,e,a)
    | ~ n1(e,b,a) ),
    inference(spm,[status(thm)],[c_0_853,c_0_748]),
    [final] ).

cnf(c_0_1168,plain,
    ( p1(b,X1,c)
    | ~ m0(c,b,c) ),
    inference(spm,[status(thm)],[c_0_215,c_0_854]),
    [final] ).

cnf(c_0_1169,plain,
    ( m1(X1,a,a)
    | ~ m1(c,a,X1) ),
    inference(spm,[status(thm)],[c_0_438,c_0_610]),
    [final] ).

cnf(c_0_1170,plain,
    ( m1(X1,a,a)
    | ~ m1(e,a,X1) ),
    inference(spm,[status(thm)],[c_0_438,c_0_750]),
    [final] ).

cnf(c_0_1171,plain,
    ( p2(e,b,X1)
    | ~ m0(e,b,b) ),
    inference(spm,[status(thm)],[c_0_331,c_0_496]),
    [final] ).

cnf(c_0_1172,plain,
    ( p2(a,c,a)
    | ~ m0(a,e,c) ),
    inference(spm,[status(thm)],[c_0_367,c_0_855]),
    [final] ).

cnf(c_0_1173,plain,
    ( p2(e,e,X1)
    | ~ m0(e,e,b) ),
    inference(spm,[status(thm)],[c_0_331,c_0_833]),
    [final] ).

cnf(c_0_1174,plain,
    ( p2(a,e,c)
    | ~ n1(e,a,a) ),
    inference(spm,[status(thm)],[c_0_853,c_0_536]),
    [final] ).

cnf(c_0_1175,plain,
    ( q3(d,a)
    | ~ n0(d,a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_665,c_0_856]),c_0_364])]),
    [final] ).

cnf(c_0_1176,plain,
    ( p2(a,e,b)
    | ~ n1(e,a,a) ),
    inference(spm,[status(thm)],[c_0_853,c_0_857]),
    [final] ).

cnf(c_0_1177,plain,
    ( p2(a,e,d)
    | ~ n1(e,a,a) ),
    inference(spm,[status(thm)],[c_0_853,c_0_858]),
    [final] ).

cnf(c_0_1178,plain,
    ( p2(d,e,a)
    | ~ n1(e,d,a) ),
    inference(spm,[status(thm)],[c_0_853,c_0_754]),
    [final] ).

cnf(c_0_1179,plain,
    ( q4(X1,a)
    | ~ k0(X1) ),
    inference(spm,[status(thm)],[c_0_859,c_0_477]),
    [final] ).

cnf(c_0_1180,plain,
    ( q4(X1,c)
    | ~ k0(X1) ),
    inference(spm,[status(thm)],[c_0_859,c_0_684]),
    [final] ).

cnf(c_0_1181,plain,
    ( m1(X1,e,e)
    | ~ m1(d,e,X1) ),
    inference(spm,[status(thm)],[c_0_438,c_0_860]),
    [final] ).

cnf(c_0_1182,plain,
    ( q1(X1,c,c)
    | ~ k0(a)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_747,c_0_861]),
    [final] ).

cnf(c_0_1183,plain,
    ( m1(X1,b,b)
    | ~ m1(d,b,X1) ),
    inference(spm,[status(thm)],[c_0_438,c_0_862]),
    [final] ).

cnf(c_0_1184,plain,
    ( m1(X1,c,c)
    | ~ m1(d,c,X1) ),
    inference(spm,[status(thm)],[c_0_438,c_0_863]),
    [final] ).

cnf(c_0_1185,plain,
    ( m5(X1,b)
    | ~ r0(X1)
    | ~ s0(X1) ),
    inference(spm,[status(thm)],[c_0_827,c_0_864]),
    [final] ).

cnf(c_0_1186,plain,
    ( q1(X1,X2,X1)
    | ~ l0(X1)
    | ~ r0(X3)
    | ~ q0(X2,X2) ),
    inference(spm,[status(thm)],[c_0_865,c_0_209]),
    [final] ).

cnf(c_0_1187,plain,
    ( m1(X1,c,c)
    | ~ m1(b,c,X1) ),
    inference(spm,[status(thm)],[c_0_438,c_0_763]),
    [final] ).

cnf(c_0_1188,plain,
    ( m1(X1,e,e)
    | ~ m1(b,e,X1) ),
    inference(spm,[status(thm)],[c_0_438,c_0_866]),
    [final] ).

cnf(c_0_1189,plain,
    ( m1(X1,b,b)
    | ~ m1(e,b,X1) ),
    inference(spm,[status(thm)],[c_0_438,c_0_396]),
    [final] ).

cnf(c_0_1190,plain,
    ( q3(X1,X2)
    | ~ s2(X1)
    | ~ k0(X2)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_665,c_0_739]),
    [final] ).

cnf(c_0_1191,plain,
    ( q3(X1,X1)
    | ~ k0(d)
    | ~ n0(X1,d) ),
    inference(spm,[status(thm)],[c_0_772,c_0_739]),
    [final] ).

cnf(c_0_1192,plain,
    ( m5(X1,d)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_686,c_0_867]),
    [final] ).

cnf(c_0_1193,plain,
    ( n1(e,d,d)
    | ~ p0(d,d) ),
    inference(spm,[status(thm)],[c_0_868,c_0_276]),
    [final] ).

cnf(c_0_1194,plain,
    ( n1(b,d,d)
    | ~ p0(d,d) ),
    inference(spm,[status(thm)],[c_0_868,c_0_413]),
    [final] ).

cnf(c_0_1195,plain,
    ( p3(X1,X1,d)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_869,c_0_270]),
    [final] ).

cnf(c_0_1196,plain,
    ( m5(X1,e)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_686,c_0_870]),
    [final] ).

cnf(c_0_1197,plain,
    ( n1(d,c,c)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_871,c_0_462]),
    [final] ).

cnf(c_0_1198,plain,
    ( p3(X1,e,e)
    | ~ s0(X1) ),
    inference(spm,[status(thm)],[c_0_848,c_0_411]),
    [final] ).

cnf(c_0_1199,plain,
    ( n1(e,c,c)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_872,c_0_462]),
    [final] ).

cnf(c_0_1200,plain,
    ( n1(e,c,c)
    | ~ l0(e) ),
    inference(spm,[status(thm)],[c_0_872,c_0_842]),
    [final] ).

cnf(c_0_1201,plain,
    ( n1(e,c,c)
    | ~ l0(b) ),
    inference(spm,[status(thm)],[c_0_872,c_0_482]),
    [final] ).

cnf(c_0_1202,plain,
    ( n4(X1,X2)
    | ~ p2(X1,X2,b) ),
    inference(spm,[status(thm)],[c_0_741,c_0_873]),
    [final] ).

cnf(c_0_1203,plain,
    ( q4(X1,X2)
    | ~ l1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_485,c_0_361]),
    [final] ).

cnf(c_0_1204,plain,
    ( q4(X1,X2)
    | ~ k0(X2) ),
    inference(spm,[status(thm)],[c_0_485,c_0_288]),
    [final] ).

cnf(c_0_1205,plain,
    ( q4(X1,c)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_485,c_0_685]),
    [final] ).

cnf(c_0_1206,plain,
    ( l5(X1)
    | ~ k1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_874,c_0_545])]),
    [final] ).

cnf(c_0_1207,plain,
    ( n1(b,c,c)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_875,c_0_462]),
    [final] ).

cnf(c_0_1208,plain,
    ( n1(b,c,c)
    | ~ l0(b) ),
    inference(spm,[status(thm)],[c_0_875,c_0_453]),
    [final] ).

cnf(c_0_1209,plain,
    ( m5(c,a)
    | ~ r0(c) ),
    inference(spm,[status(thm)],[c_0_686,c_0_876]),
    [final] ).

cnf(c_0_1210,plain,
    ( m3(X1,a,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_877,c_0_270]),
    [final] ).

cnf(c_0_1211,plain,
    ( m3(X1,e,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_878,c_0_270]),
    [final] ).

cnf(c_0_1212,plain,
    ( k3(b,b,X1)
    | ~ s0(X1) ),
    inference(spm,[status(thm)],[c_0_879,c_0_514]),
    [final] ).

cnf(c_0_1213,plain,
    ( p3(d,d,a)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_880,c_0_270]),
    [final] ).

cnf(c_0_1214,plain,
    ( n4(X1,d)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_741,c_0_881]),
    [final] ).

cnf(c_0_1215,plain,
    ( n4(c,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_741,c_0_882]),
    [final] ).

cnf(c_0_1216,plain,
    ( n4(b,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_741,c_0_883]),
    [final] ).

cnf(c_0_1217,plain,
    ( m3(X1,d,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_884,c_0_270]),
    [final] ).

cnf(c_0_1218,plain,
    ( p3(d,d,e)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_885,c_0_270]),
    [final] ).

cnf(c_0_1219,plain,
    ( m3(d,d,e)
    | ~ l0(e) ),
    inference(spm,[status(thm)],[c_0_886,c_0_270]),
    [final] ).

cnf(c_0_1220,plain,
    ( p3(a,e,e)
    | ~ r2(e) ),
    inference(spm,[status(thm)],[c_0_559,c_0_887]),
    [final] ).

cnf(c_0_1221,plain,
    ( q3(X1,X1)
    | ~ q3(X2,X1)
    | ~ k1(X1)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_888,c_0_270]),
    [final] ).

cnf(c_0_1222,plain,
    ( p3(d,d,b)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_889,c_0_270]),
    [final] ).

cnf(c_0_1223,plain,
    ( m3(d,d,b)
    | ~ l0(b) ),
    inference(spm,[status(thm)],[c_0_890,c_0_270]),
    [final] ).

cnf(c_0_1224,plain,
    ( p3(d,d,c)
    | ~ l0(d) ),
    inference(spm,[status(thm)],[c_0_891,c_0_270]),
    [final] ).

cnf(c_0_1225,plain,
    ( m5(c,b)
    | ~ r0(c) ),
    inference(spm,[status(thm)],[c_0_686,c_0_892]),
    [final] ).

cnf(c_0_1226,plain,
    ( l1(e,d)
    | ~ p0(c,e)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_333,c_0_355]),
    [final] ).

cnf(c_0_1227,plain,
    ( p2(a,c,b)
    | ~ l1(e,c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_893,c_0_311]),c_0_335])]),
    [final] ).

cnf(c_0_1228,plain,
    ( p3(d,e,X1)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_647,c_0_359]),
    [final] ).

cnf(c_0_1229,plain,
    ( l1(e,a)
    | ~ p0(e,e)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_333,c_0_894]),
    [final] ).

cnf(c_0_1230,plain,
    ( p3(X1,X2,X3)
    | ~ k2(X2,X3)
    | ~ k0(d) ),
    inference(spm,[status(thm)],[c_0_539,c_0_288]),
    [final] ).

cnf(c_0_1231,plain,
    ( p3(d,b,X1)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_647,c_0_278]),
    [final] ).

cnf(c_0_1232,plain,
    ( m3(X1,c,X1)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_895,c_0_270]),
    [final] ).

cnf(c_0_1233,plain,
    ( l1(a,b)
    | ~ p0(a,a)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_333,c_0_580]),
    [final] ).

cnf(c_0_1234,plain,
    ( m1(b,b,c)
    | ~ n0(c,c) ),
    inference(spm,[status(thm)],[c_0_896,c_0_387]),
    [final] ).

cnf(c_0_1235,plain,
    ( m1(X1,X1,c)
    | ~ n0(b,b) ),
    inference(spm,[status(thm)],[c_0_896,c_0_209]),
    [final] ).

cnf(c_0_1236,plain,
    ( l1(b,c)
    | ~ p0(a,b)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_333,c_0_500]),
    [final] ).

cnf(c_0_1237,plain,
    ( p3(X1,X2,X3)
    | ~ k2(X2,X3)
    | ~ l1(X1,d) ),
    inference(spm,[status(thm)],[c_0_539,c_0_361]),
    [final] ).

cnf(c_0_1238,plain,
    ( l1(X1,a)
    | ~ p0(a,X1)
    | ~ r0(X2) ),
    inference(spm,[status(thm)],[c_0_333,c_0_220]),
    [final] ).

cnf(c_0_1239,plain,
    ( q1(X1,X2,X2)
    | ~ k0(d)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_747,c_0_754]),
    [final] ).

cnf(c_0_1240,plain,
    ( k3(X1,c,X1)
    | ~ n0(X1,e) ),
    inference(spm,[status(thm)],[c_0_315,c_0_469]),
    [final] ).

cnf(c_0_1241,plain,
    ( m3(X1,c,X1)
    | ~ q2(b,c,b)
    | ~ q2(X1,c,c) ),
    inference(spm,[status(thm)],[c_0_897,c_0_239]),
    [final] ).

cnf(c_0_1242,plain,
    ( m5(c,X1)
    | ~ m3(X1,c,a)
    | ~ r0(c) ),
    inference(spm,[status(thm)],[c_0_686,c_0_898]),
    [final] ).

cnf(c_0_1243,plain,
    ( m1(X1,X2,X2)
    | ~ m1(X2,X2,X1) ),
    inference(spm,[status(thm)],[c_0_438,c_0_340]),
    [final] ).

cnf(c_0_1244,plain,
    ( p2(a,c,d)
    | ~ m1(a,c,d) ),
    inference(spm,[status(thm)],[c_0_899,c_0_341]),
    [final] ).

cnf(c_0_1245,plain,
    ( k3(X1,b,X1)
    | ~ n0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_315,c_0_483]),
    [final] ).

cnf(c_0_1246,plain,
    ( q1(X1,X2,X2)
    | ~ k0(X2)
    | ~ l0(X1) ),
    inference(spm,[status(thm)],[c_0_747,c_0_241]),
    [final] ).

cnf(c_0_1247,plain,
    ( n1(X1,c,X1)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_527,c_0_271]),
    [final] ).

cnf(c_0_1248,plain,
    ( n1(X1,b,X1)
    | ~ p0(X1,X1) ),
    inference(spm,[status(thm)],[c_0_900,c_0_209]),
    [final] ).

cnf(c_0_1249,plain,
    ( n1(X1,c,X1)
    | ~ p0(X1,X1) ),
    inference(spm,[status(thm)],[c_0_900,c_0_387]),
    [final] ).

cnf(c_0_1250,plain,
    ( l3(X1,a)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_732,c_0_419]),
    [final] ).

cnf(c_0_1251,plain,
    ( p5(X1,X1,X2)
    | ~ s4(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_901,c_0_226])]),
    [final] ).

cnf(c_0_1252,plain,
    ( p1(e,e,X1)
    | ~ k0(X1) ),
    inference(spm,[status(thm)],[c_0_267,c_0_250]),
    [final] ).

cnf(c_0_1253,plain,
    ( q3(X1,X1)
    | ~ n0(X1,X1) ),
    inference(spm,[status(thm)],[c_0_432,c_0_258]),
    [final] ).

cnf(c_0_1254,plain,
    ( q1(X1,X1,X1)
    | ~ p1(X1,b,b)
    | ~ p0(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_902,c_0_440])]),
    [final] ).

cnf(c_0_1255,plain,
    ( l3(X1,e)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_732,c_0_411]),
    [final] ).

cnf(c_0_1256,axiom,
    ( q1(X1,X1,X1)
    | ~ n1(X2,X3,X3)
    | ~ p0(X2,X4)
    | ~ m1(X1,X3,X2)
    | ~ q1(X4,X2,X3) ),
    rule_096,
    [final] ).

cnf(c_0_1257,plain,
    ( p2(X1,X1,X2)
    | ~ p2(X1,X3,X1)
    | ~ q1(c,X1,X3)
    | ~ s0(e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_903,c_0_214])]),
    [final] ).

cnf(c_0_1258,axiom,
    ( k3(X1,X1,X1)
    | ~ m2(X2)
    | ~ l1(X3,X4)
    | ~ s2(X1)
    | ~ k3(X3,X4,X3) ),
    rule_209,
    [final] ).

cnf(c_0_1259,axiom,
    ( p4(X1,X1,X1)
    | ~ k3(X2,X3,X3)
    | ~ n4(X1,X3)
    | ~ p1(X3,X2,X1) ),
    rule_292,
    [final] ).

cnf(c_0_1260,axiom,
    ( r3(X1,X1,X1)
    | ~ p1(X2,X3,X1)
    | ~ l2(X3,X2)
    | ~ r3(X1,X2,X1) ),
    rule_262,
    [final] ).

cnf(c_0_1261,axiom,
    ( p2(X1,X2,X2)
    | ~ n1(X3,X2,X3)
    | ~ p0(X1,X2)
    | ~ p2(X1,X2,X1) ),
    rule_152,
    [final] ).

cnf(c_0_1262,plain,
    ( q1(X1,X1,X1)
    | ~ n1(X2,d,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_904,c_0_234]),c_0_209])]),
    [final] ).

cnf(c_0_1263,plain,
    ( p1(X1,X1,X1)
    | ~ p0(X1,X2)
    | ~ n0(X2,X2) ),
    inference(csr,[status(thm)],[c_0_905,c_0_383]),
    [final] ).

cnf(c_0_1264,plain,
    ( p3(X1,d,e)
    | ~ q2(X1,d,X1)
    | ~ p2(d,b,c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_906,c_0_321]),c_0_907])]),
    [final] ).

cnf(c_0_1265,axiom,
    ( p3(X1,X1,X1)
    | ~ l1(X2,X2)
    | ~ l3(X2,X1)
    | ~ p3(X3,X3,X2) ),
    rule_245,
    [final] ).

cnf(c_0_1266,plain,
    ( m1(X1,X2,c)
    | ~ p0(X1,X2)
    | ~ r0(c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_908,c_0_229]),c_0_207])]),
    [final] ).

cnf(c_0_1267,axiom,
    ( p2(X1,X1,X1)
    | ~ k1(X2)
    | ~ k0(X2)
    | ~ l2(a,X2)
    | ~ k2(X1,a) ),
    rule_142,
    [final] ).

cnf(c_0_1268,axiom,
    ( m3(X1,X1,X1)
    | ~ q0(X2,X3)
    | ~ s0(X4)
    | ~ s2(X3)
    | ~ r2(X1) ),
    rule_227,
    [final] ).

cnf(c_0_1269,axiom,
    ( p1(X1,X1,X1)
    | ~ q0(X2,X3)
    | ~ k1(X4)
    | ~ n1(X2,X1,X5) ),
    rule_091,
    [final] ).

cnf(c_0_1270,axiom,
    ( p1(X1,X1,X1)
    | ~ n0(X2,X2)
    | ~ l0(X3)
    | ~ n1(X2,X4,X1) ),
    rule_080,
    [final] ).

cnf(c_0_1271,axiom,
    ( p1(X1,X1,X1)
    | ~ m1(X2,X3,X1)
    | ~ q0(X3,X4)
    | ~ l0(X5) ),
    rule_081,
    [final] ).

cnf(c_0_1272,plain,
    ( l3(X1,b)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_732,c_0_483]),
    [final] ).

cnf(c_0_1273,axiom,
    ( p2(X1,X1,X1)
    | ~ m1(a,a,X2)
    | ~ p2(a,X3,X1) ),
    rule_160,
    [final] ).

cnf(c_0_1274,plain,
    ( l3(d,X1)
    | ~ r0(d) ),
    inference(spm,[status(thm)],[c_0_732,c_0_463]),
    [final] ).

cnf(c_0_1275,plain,
    ( m5(X1,X1)
    | ~ r0(X1) ),
    inference(spm,[status(thm)],[c_0_909,c_0_910]),
    [final] ).

cnf(c_0_1276,plain,
    ( r5(X1,X2)
    | ~ s4(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_911,c_0_321])]),
    [final] ).

cnf(c_0_1277,plain,
    ( s4(X1)
    | ~ k1(X1) ),
    inference(spm,[status(thm)],[c_0_734,c_0_714]),
    [final] ).

cnf(c_0_1278,plain,
    ( p3(X1,X1,X1)
    | ~ p2(X2,X1,X1) ),
    inference(csr,[status(thm)],[c_0_912,c_0_298]),
    [final] ).

cnf(c_0_1279,axiom,
    ( q2(X1,X1,X1)
    | ~ n1(X2,d,X3)
    | ~ k1(X1)
    | ~ q2(X3,X3,X2) ),
    rule_185,
    [final] ).

cnf(c_0_1280,axiom,
    ( p4(X1,X1,X1)
    | ~ m3(X2,X3,X1)
    | ~ p4(X1,X3,X1) ),
    rule_290,
    [final] ).

cnf(c_0_1281,axiom,
    ( k3(X1,X1,X1)
    | ~ p2(X2,X3,X2)
    | ~ m1(X1,X1,X3) ),
    rule_196,
    [final] ).

cnf(c_0_1282,plain,
    ( k3(X1,X1,X1)
    | ~ r2(e)
    | ~ l0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_913,c_0_276])]),
    [final] ).

cnf(c_0_1283,axiom,
    ( p2(X1,X1,X1)
    | ~ m1(X2,X3,X1)
    | ~ p2(X2,X1,X2) ),
    rule_148,
    [final] ).

cnf(c_0_1284,axiom,
    ( p1(X1,X1,X1)
    | ~ m0(b,X2,b)
    | ~ l1(X1,b) ),
    rule_084,
    [final] ).

cnf(c_0_1285,plain,
    ( p1(X1,X1,X1)
    | ~ k1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_914,c_0_271]),c_0_285])]),
    [final] ).

cnf(c_0_1286,axiom,
    ( q2(X1,X1,X1)
    | ~ q0(X2,X1)
    | ~ n1(X2,X1,X3) ),
    rule_178,
    [final] ).

cnf(c_0_1287,axiom,
    ( m1(X1,X1,X1)
    | ~ q0(X2,X2)
    | ~ m1(X3,X2,X1) ),
    rule_033,
    [final] ).

cnf(c_0_1288,plain,
    ( p2(X1,X1,d)
    | ~ m0(X2,X1,d) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_915,c_0_256])]),
    [final] ).

cnf(c_0_1289,axiom,
    ( m1(X1,X1,X1)
    | ~ l0(X1)
    | ~ l0(X2)
    | ~ p0(X2,d) ),
    rule_026,
    [final] ).

cnf(c_0_1290,axiom,
    ( p1(X1,X1,X1)
    | ~ m0(X2,X3,b)
    | ~ l0(X1) ),
    rule_064,
    [final] ).

cnf(c_0_1291,axiom,
    ( l3(X1,X1)
    | ~ p1(X1,X1,X2)
    | ~ p2(X2,X3,X1) ),
    rule_216,
    [final] ).

cnf(c_0_1292,axiom,
    ( q1(X1,X1,X1)
    | ~ m0(X1,X1,X2)
    | ~ k0(X2) ),
    rule_114,
    [final] ).

cnf(c_0_1293,axiom,
    ( p1(X1,X1,X1)
    | ~ l0(X1)
    | ~ m0(X2,X3,X1) ),
    rule_086,
    [final] ).

cnf(c_0_1294,axiom,
    ( k3(X1,X1,X1)
    | ~ r2(c)
    | ~ l1(b,X1) ),
    rule_208,
    [final] ).

cnf(c_0_1295,axiom,
    ( k3(X1,X1,X1)
    | ~ l2(X2,b)
    | ~ k1(X1) ),
    rule_197,
    [final] ).

cnf(c_0_1296,axiom,
    ( n1(a,X1,b)
    | ~ p0(X1,d)
    | ~ p0(a,b) ),
    rule_053,
    [final] ).

cnf(c_0_1297,plain,
    ( q1(b,e,e)
    | ~ s0(e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_916,c_0_271]),c_0_292])]),
    [final] ).

cnf(c_0_1298,axiom,
    ( q5(X1,X2)
    | ~ s4(X1)
    | ~ m2(X2) ),
    rule_322,
    [final] ).

cnf(c_0_1299,axiom,
    ( r5(X1,X1)
    | ~ k4(X1) ),
    rule_328,
    [final] ).

cnf(c_0_1300,axiom,
    ( m5(X1,X1)
    | ~ k4(X1) ),
    rule_304,
    [final] ).

cnf(c_0_1301,plain,
    r3(c,a,a),
    inference(spm,[status(thm)],[c_0_917,c_0_261]),
    [final] ).

cnf(c_0_1302,plain,
    r3(c,e,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_917,c_0_359]),c_0_280])]),
    [final] ).

cnf(c_0_1303,plain,
    r3(c,b,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_917,c_0_278]),c_0_280])]),
    [final] ).

cnf(c_0_1304,plain,
    r3(c,c,a),
    inference(spm,[status(thm)],[c_0_917,c_0_295]),
    [final] ).

cnf(c_0_1305,plain,
    r3(a,e,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_359]),c_0_459])]),
    [final] ).

cnf(c_0_1306,plain,
    r3(a,b,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_278]),c_0_459])]),
    [final] ).

cnf(c_0_1307,plain,
    r3(b,e,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_359]),c_0_459])]),
    [final] ).

cnf(c_0_1308,plain,
    r3(b,b,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_278]),c_0_459])]),
    [final] ).

cnf(c_0_1309,plain,
    p3(e,e,a),
    inference(spm,[status(thm)],[c_0_737,c_0_800]),
    [final] ).

cnf(c_0_1310,plain,
    p3(e,e,b),
    inference(spm,[status(thm)],[c_0_737,c_0_801]),
    [final] ).

cnf(c_0_1311,plain,
    p3(e,X1,d),
    inference(spm,[status(thm)],[c_0_737,c_0_425]),
    [final] ).

cnf(c_0_1312,plain,
    p3(e,a,e),
    inference(spm,[status(thm)],[c_0_737,c_0_672]),
    [final] ).

cnf(c_0_1313,plain,
    p3(e,a,b),
    inference(spm,[status(thm)],[c_0_737,c_0_816]),
    [final] ).

cnf(c_0_1314,plain,
    p3(e,b,a),
    inference(spm,[status(thm)],[c_0_737,c_0_802]),
    [final] ).

cnf(c_0_1315,plain,
    p3(e,c,e),
    inference(spm,[status(thm)],[c_0_737,c_0_583]),
    [final] ).

cnf(c_0_1316,plain,
    p3(e,c,a),
    inference(spm,[status(thm)],[c_0_737,c_0_295]),
    [final] ).

cnf(c_0_1317,plain,
    p3(e,c,b),
    inference(spm,[status(thm)],[c_0_737,c_0_409]),
    [final] ).

cnf(c_0_1318,plain,
    n4(e,X1),
    inference(spm,[status(thm)],[c_0_741,c_0_918]),
    [final] ).

cnf(c_0_1319,plain,
    r3(e,e,b),
    inference(spm,[status(thm)],[c_0_817,c_0_348]),
    [final] ).

cnf(c_0_1320,plain,
    r3(d,d,b),
    inference(spm,[status(thm)],[c_0_834,c_0_348]),
    [final] ).

cnf(c_0_1321,plain,
    r3(c,c,b),
    inference(spm,[status(thm)],[c_0_693,c_0_348]),
    [final] ).

cnf(c_0_1322,plain,
    r3(a,a,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_864]),c_0_348]),c_0_234])]),
    [final] ).

cnf(c_0_1323,plain,
    q3(a,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_919,c_0_404]),c_0_292])]),
    [final] ).

cnf(c_0_1324,plain,
    p3(a,a,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_920,c_0_270]),c_0_344])]),
    [final] ).

cnf(c_0_1325,plain,
    q3(b,e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_683,c_0_921]),c_0_285]),c_0_335])]),
    [final] ).

cnf(c_0_1326,plain,
    m5(e,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_686,c_0_922]),c_0_276])]),
    [final] ).

cnf(c_0_1327,plain,
    m3(X1,e,e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_606,c_0_519])]),
    [final] ).

cnf(c_0_1328,plain,
    n4(X1,e),
    inference(spm,[status(thm)],[c_0_923,c_0_519]),
    [final] ).

cnf(c_0_1329,plain,
    m5(b,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_686,c_0_924]),c_0_413])]),
    [final] ).

cnf(c_0_1330,plain,
    p3(X1,b,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_630]),c_0_234])]),
    [final] ).

cnf(c_0_1331,plain,
    n4(X1,b),
    inference(spm,[status(thm)],[c_0_923,c_0_630]),
    [final] ).

cnf(c_0_1332,plain,
    p5(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_925,c_0_226]),
    [final] ).

cnf(c_0_1333,plain,
    r3(d,e,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_359]),c_0_459])]),
    [final] ).

cnf(c_0_1334,plain,
    r3(d,b,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_278]),c_0_459])]),
    [final] ).

cnf(c_0_1335,plain,
    p3(e,b,e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_926,c_0_380]),c_0_292])]),
    [final] ).

cnf(c_0_1336,plain,
    q1(c,a,a),
    inference(spm,[status(thm)],[c_0_927,c_0_271]),
    [final] ).

cnf(c_0_1337,plain,
    p1(a,b,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_548]),c_0_292])]),
    [final] ).

cnf(c_0_1338,plain,
    q4(d,a),
    inference(spm,[status(thm)],[c_0_485,c_0_708]),
    [final] ).

cnf(c_0_1339,plain,
    q3(c,c),
    inference(spm,[status(thm)],[c_0_772,c_0_928]),
    [final] ).

cnf(c_0_1340,plain,
    q4(d,c),
    inference(spm,[status(thm)],[c_0_485,c_0_635]),
    [final] ).

cnf(c_0_1341,plain,
    q4(e,d),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_859,c_0_626]),c_0_285])]),
    [final] ).

cnf(c_0_1342,plain,
    q4(e,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_859,c_0_921]),c_0_285])]),
    [final] ).

cnf(c_0_1343,plain,
    q1(e,e,a),
    inference(spm,[status(thm)],[c_0_929,c_0_413]),
    [final] ).

cnf(c_0_1344,plain,
    m3(b,X1,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_930,c_0_311]),c_0_335])]),
    [final] ).

cnf(c_0_1345,plain,
    m3(a,X1,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_220]),c_0_226])]),
    [final] ).

cnf(c_0_1346,plain,
    p2(e,e,d),
    inference(spm,[status(thm)],[c_0_331,c_0_303]),
    [final] ).

cnf(c_0_1347,plain,
    r3(a,a,e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_931,c_0_606]),c_0_258])]),c_0_932])]),
    [final] ).

cnf(c_0_1348,plain,
    k3(e,d,e),
    inference(spm,[status(thm)],[c_0_933,c_0_335]),
    [final] ).

cnf(c_0_1349,plain,
    k3(a,d,a),
    inference(spm,[status(thm)],[c_0_933,c_0_404]),
    [final] ).

cnf(c_0_1350,plain,
    k3(b,d,b),
    inference(spm,[status(thm)],[c_0_933,c_0_263]),
    [final] ).

cnf(c_0_1351,plain,
    k4(e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_934,c_0_712]),c_0_935])]),
    [final] ).

cnf(c_0_1352,plain,
    l3(e,d),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_732,c_0_407]),c_0_276])]),
    [final] ).

cnf(c_0_1353,plain,
    n5(X1,X2),
    inference(spm,[status(thm)],[c_0_936,c_0_937]),
    [final] ).

cnf(c_0_1354,plain,
    p3(d,e,a),
    inference(spm,[status(thm)],[c_0_647,c_0_800]),
    [final] ).

cnf(c_0_1355,plain,
    p3(d,b,a),
    inference(spm,[status(thm)],[c_0_647,c_0_802]),
    [final] ).

cnf(c_0_1356,plain,
    p3(d,c,a),
    inference(spm,[status(thm)],[c_0_647,c_0_295]),
    [final] ).

cnf(c_0_1357,plain,
    p3(d,a,e),
    inference(spm,[status(thm)],[c_0_647,c_0_672]),
    [final] ).

cnf(c_0_1358,plain,
    p3(d,b,e),
    inference(spm,[status(thm)],[c_0_647,c_0_673]),
    [final] ).

cnf(c_0_1359,plain,
    p3(d,c,e),
    inference(spm,[status(thm)],[c_0_647,c_0_583]),
    [final] ).

cnf(c_0_1360,plain,
    k3(b,b,a),
    inference(spm,[status(thm)],[c_0_491,c_0_816]),
    [final] ).

cnf(c_0_1361,plain,
    p3(d,a,b),
    inference(spm,[status(thm)],[c_0_647,c_0_816]),
    [final] ).

cnf(c_0_1362,plain,
    p3(d,e,b),
    inference(spm,[status(thm)],[c_0_647,c_0_801]),
    [final] ).

cnf(c_0_1363,plain,
    p3(d,c,b),
    inference(spm,[status(thm)],[c_0_647,c_0_409]),
    [final] ).

cnf(c_0_1364,plain,
    p3(b,c,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_938,c_0_409])]),
    [final] ).

cnf(c_0_1365,plain,
    m1(d,a,b),
    inference(spm,[status(thm)],[c_0_392,c_0_939]),
    [final] ).

cnf(c_0_1366,plain,
    q1(d,d,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_940,c_0_207]),c_0_379])]),
    [final] ).

cnf(c_0_1367,plain,
    m3(a,a,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_941,c_0_270]),c_0_271])]),
    [final] ).

cnf(c_0_1368,plain,
    q3(d,e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_665,c_0_755]),c_0_364])]),
    [final] ).

cnf(c_0_1369,plain,
    k3(X1,X1,e),
    inference(spm,[status(thm)],[c_0_534,c_0_552]),
    [final] ).

cnf(c_0_1370,plain,
    p3(d,X1,d),
    inference(spm,[status(thm)],[c_0_647,c_0_425]),
    [final] ).

cnf(c_0_1371,plain,
    n4(b,c),
    inference(spm,[status(thm)],[c_0_741,c_0_942]),
    [final] ).

cnf(c_0_1372,plain,
    k3(e,c,e),
    inference(spm,[status(thm)],[c_0_644,c_0_335]),
    [final] ).

cnf(c_0_1373,plain,
    l3(d,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_943,c_0_759])]),
    [final] ).

cnf(c_0_1374,plain,
    q1(b,b,e),
    inference(spm,[status(thm)],[c_0_944,c_0_413]),
    [final] ).

cnf(c_0_1375,plain,
    q1(b,b,a),
    inference(spm,[status(thm)],[c_0_945,c_0_413]),
    [final] ).

cnf(c_0_1376,plain,
    p2(e,e,b),
    inference(spm,[status(thm)],[c_0_331,c_0_443]),
    [final] ).

cnf(c_0_1377,plain,
    q1(b,b,c),
    inference(spm,[status(thm)],[c_0_946,c_0_413]),
    [final] ).

cnf(c_0_1378,plain,
    p2(e,e,c),
    inference(spm,[status(thm)],[c_0_331,c_0_447]),
    [final] ).

cnf(c_0_1379,plain,
    p3(c,c,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_947,c_0_270]),c_0_271])]),
    [final] ).

cnf(c_0_1380,plain,
    q1(e,e,b),
    inference(spm,[status(thm)],[c_0_948,c_0_413]),
    [final] ).

cnf(c_0_1381,plain,
    k3(a,e,a),
    inference(spm,[status(thm)],[c_0_949,c_0_404]),
    [final] ).

cnf(c_0_1382,plain,
    k3(b,e,b),
    inference(spm,[status(thm)],[c_0_949,c_0_263]),
    [final] ).

cnf(c_0_1383,plain,
    n4(d,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_950,c_0_629])]),
    [final] ).

cnf(c_0_1384,plain,
    k4(c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_480,c_0_542])]),
    [final] ).

cnf(c_0_1385,plain,
    q1(a,d,d),
    inference(spm,[status(thm)],[c_0_951,c_0_344]),
    [final] ).

cnf(c_0_1386,plain,
    q1(c,d,d),
    inference(spm,[status(thm)],[c_0_951,c_0_271]),
    [final] ).

cnf(c_0_1387,plain,
    q1(a,e,e),
    inference(spm,[status(thm)],[c_0_952,c_0_344]),
    [final] ).

cnf(c_0_1388,plain,
    q1(c,e,e),
    inference(spm,[status(thm)],[c_0_952,c_0_271]),
    [final] ).

cnf(c_0_1389,plain,
    k3(e,b,e),
    inference(spm,[status(thm)],[c_0_339,c_0_335]),
    [final] ).

cnf(c_0_1390,plain,
    k3(a,b,a),
    inference(spm,[status(thm)],[c_0_339,c_0_404]),
    [final] ).

cnf(c_0_1391,plain,
    q1(X1,e,X1),
    inference(spm,[status(thm)],[c_0_337,c_0_370]),
    [final] ).

cnf(c_0_1392,plain,
    q3(e,e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_953,c_0_370]),c_0_285])]),
    [final] ).

cnf(c_0_1393,plain,
    q3(b,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_953,c_0_404]),c_0_292])]),
    [final] ).

cnf(c_0_1394,plain,
    s5(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_954,c_0_558])]),
    [final] ).

cnf(c_0_1395,plain,
    p2(e,c,c),
    inference(spm,[status(thm)],[c_0_331,c_0_356]),
    [final] ).

cnf(c_0_1396,plain,
    l3(e,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_732,c_0_955]),c_0_276])]),
    [final] ).

cnf(c_0_1397,plain,
    l3(e,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_732,c_0_469]),c_0_276])]),
    [final] ).

cnf(c_0_1398,plain,
    l3(b,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_732,c_0_956]),c_0_413])]),
    [final] ).

cnf(c_0_1399,plain,
    l3(b,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_732,c_0_560]),c_0_413])]),
    [final] ).

cnf(c_0_1400,plain,
    p4(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_957,c_0_623]),
    [final] ).

cnf(c_0_1401,plain,
    k5(X1),
    inference(spm,[status(thm)],[c_0_958,c_0_910]),
    [final] ).

cnf(c_0_1402,plain,
    s4(d),
    inference(spm,[status(thm)],[c_0_734,c_0_456]),
    [final] ).

cnf(c_0_1403,plain,
    s4(e),
    inference(spm,[status(thm)],[c_0_734,c_0_842]),
    [final] ).

cnf(c_0_1404,plain,
    s4(a),
    inference(spm,[status(thm)],[c_0_734,c_0_428]),
    [final] ).

cnf(c_0_1405,plain,
    s4(b),
    inference(spm,[status(thm)],[c_0_734,c_0_453]),
    [final] ).

cnf(c_0_1406,plain,
    q5(X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_959,c_0_767])]),
    [final] ).

cnf(c_0_1407,plain,
    q1(X1,b,b),
    inference(spm,[status(thm)],[c_0_960,c_0_209]),
    [final] ).

cnf(c_0_1408,plain,
    q1(b,c,c),
    inference(spm,[status(thm)],[c_0_960,c_0_387]),
    [final] ).

cnf(c_0_1409,plain,
    l3(X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_961,c_0_283])]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN720-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n017.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Tue May  5 08:42:28 EDT 2026
% 0.16/0.34  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 1.63/1.81  % Version  : CSE_E---1.7
% 1.63/1.81  % Problem  : theBenchmark.p
% 1.63/1.81  % SZS status Satisfiable for theBenchmark.p
% 1.63/1.81  % SZS output start Saturation
% See solution above
% 1.63/1.82  % Total time : 1.373s
%------------------------------------------------------------------------------