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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN159-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:23:16 PM UTC 2026

% Result   : Unsatisfiable 0.48s 0.52s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   61
% Syntax   : Number of clauses     :  246 (  78 unt;   0 nHn; 197 RR)
%            Number of literals    :  544 (   0 equ; 301 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   33 (  32 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :  436 ( 136 sgn)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(rule_309,axiom,
    ( ~ n4(X2,X1)
    | n5(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_309) ).

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

cnf(rule_296,axiom,
    ( ~ q4(X2,X3)
    | ~ l4(X2)
    | ~ r1(X1)
    | q4(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_296) ).

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

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

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

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_183,axiom,
    ( ~ l2(X2,X1)
    | ~ l0(c)
    | ~ k1(X2)
    | q2(X1,c,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_183) ).

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

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

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

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

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

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

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

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

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

cnf(prove_this,negated_conjecture,
    ~ n5(a,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(c_0_61,plain,
    ( ~ p0(X2,X1)
    | p1(X1,X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_085]) ).

cnf(c_0_62,plain,
    ( ~ s0(X1)
    | ~ p0(X1,X2)
    | m1(X1,X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_029]) ).

cnf(c_0_63,plain,
    ( ~ m1(X2,c,X2)
    | ~ q0(X1,X2)
    | ~ m0(a,X3,a)
    | m1(X1,a,X2) ),
    inference(fof_simplification,[status(thm)],[rule_024]) ).

cnf(c_0_64,plain,
    ( ~ n0(X2,X1)
    | k1(X1) ),
    inference(fof_simplification,[status(thm)],[rule_001]) ).

cnf(c_0_65,plain,
    ( ~ p1(X3,X1,X4)
    | ~ m0(X3,X1,X4)
    | p1(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[rule_082]) ).

cnf(c_0_66,plain,
    ( ~ p0(X2,X1)
    | p1(X1,X1,X1) ),
    c_0_61 ).

cnf(c_0_67,axiom,
    p0(b,X1),
    axiom_14 ).

cnf(c_0_68,plain,
    ( ~ m1(X2,X1,X2)
    | p2(X1,X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_176]) ).

cnf(c_0_69,plain,
    ( ~ s0(X1)
    | ~ p0(X1,X2)
    | m1(X1,X2,X1) ),
    c_0_62 ).

cnf(c_0_70,axiom,
    s0(b),
    axiom_5 ).

cnf(c_0_71,plain,
    ( ~ m1(X2,c,X2)
    | ~ q0(X1,X2)
    | ~ m0(a,X3,a)
    | m1(X1,a,X2) ),
    c_0_63 ).

cnf(c_0_72,axiom,
    m0(a,X1,a),
    axiom_12 ).

cnf(c_0_73,plain,
    ( ~ p1(X2,X3,X1)
    | n2(X1) ),
    inference(fof_simplification,[status(thm)],[rule_137]) ).

cnf(c_0_74,plain,
    ( ~ k1(X1)
    | p2(X1,X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_159]) ).

cnf(c_0_75,plain,
    ( ~ n0(X2,X1)
    | k1(X1) ),
    c_0_64 ).

cnf(c_0_76,axiom,
    n0(e,e),
    axiom_30 ).

cnf(c_0_77,plain,
    ( ~ p1(X3,X1,X4)
    | ~ m0(X3,X1,X4)
    | p1(X1,X2,X3) ),
    c_0_65 ).

cnf(c_0_78,plain,
    p1(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_79,plain,
    ( ~ p2(e,X1,X2)
    | ~ k1(X3)
    | p2(X1,X2,X2) ),
    inference(fof_simplification,[status(thm)],[rule_155]) ).

cnf(c_0_80,plain,
    ( ~ m1(X2,X1,X2)
    | p2(X1,X2,X1) ),
    c_0_68 ).

cnf(c_0_81,plain,
    m1(b,X1,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_67]),c_0_70])]) ).

cnf(c_0_82,plain,
    ( ~ p1(X1,X1,X1)
    | ~ k0(X2)
    | q2(X1,X2,X2) ),
    inference(fof_simplification,[status(thm)],[rule_177]) ).

cnf(c_0_83,plain,
    ( ~ q0(X1,X2)
    | ~ m1(X2,c,X2)
    | m1(X1,a,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72])]) ).

cnf(c_0_84,plain,
    ( ~ k0(X2)
    | ~ l0(X1)
    | m1(X1,X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_021]) ).

cnf(c_0_85,plain,
    ( ~ n2(X1)
    | m3(X1,X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_236]) ).

cnf(c_0_86,plain,
    ( ~ p1(X2,X3,X1)
    | n2(X1) ),
    c_0_73 ).

cnf(c_0_87,plain,
    ( ~ n3(e)
    | ~ q3(e,b)
    | ~ n0(c,d)
    | k4(c) ),
    inference(fof_simplification,[status(thm)],[rule_274]) ).

cnf(c_0_88,plain,
    ( ~ p2(X2,X3,X1)
    | n3(X1) ),
    inference(fof_simplification,[status(thm)],[rule_240]) ).

cnf(c_0_89,plain,
    ( ~ k1(X1)
    | p2(X1,X1,X1) ),
    c_0_74 ).

cnf(c_0_90,plain,
    k1(e),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_91,plain,
    ( ~ m3(X3,X1,X3)
    | ~ m2(X2)
    | ~ n2(X1)
    | m3(X1,X2,X2) ),
    inference(fof_simplification,[status(thm)],[rule_228]) ).

cnf(c_0_92,plain,
    ( ~ m0(X1,X1,X1)
    | p1(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_93,plain,
    ( ~ s1(X3)
    | ~ q0(X1,X2)
    | s1(X1) ),
    inference(fof_simplification,[status(thm)],[rule_126]) ).

cnf(c_0_94,plain,
    ( ~ p0(X1,X1)
    | s1(X1) ),
    inference(fof_simplification,[status(thm)],[rule_125]) ).

cnf(c_0_95,plain,
    ( ~ p2(e,X1,X2)
    | ~ k1(X3)
    | p2(X1,X2,X2) ),
    c_0_79 ).

cnf(c_0_96,plain,
    p2(X1,b,X1),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_97,axiom,
    n0(d,c),
    axiom_26 ).

cnf(c_0_98,plain,
    ( ~ n0(X3,X1)
    | ~ q2(X3,X1,X2)
    | q3(X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_255]) ).

cnf(c_0_99,plain,
    ( ~ p1(X1,X1,X1)
    | ~ k0(X2)
    | q2(X1,X2,X2) ),
    c_0_82 ).

cnf(c_0_100,plain,
    ( ~ m1(X3,X4,X2)
    | ~ m1(X3,X2,X1)
    | m1(X1,X2,X2) ),
    inference(fof_simplification,[status(thm)],[rule_016]) ).

cnf(c_0_101,plain,
    ( ~ q0(X1,b)
    | m1(X1,a,b) ),
    inference(spm,[status(thm)],[c_0_83,c_0_81]) ).

cnf(c_0_102,axiom,
    q0(a,b),
    axiom_36 ).

cnf(c_0_103,plain,
    ( ~ k0(X2)
    | ~ l0(X1)
    | m1(X1,X2,X1) ),
    c_0_84 ).

cnf(c_0_104,axiom,
    k0(b),
    axiom_32 ).

cnf(c_0_105,plain,
    ( ~ m3(X1,X1,X1)
    | ~ k4(X2)
    | n4(X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_284]) ).

cnf(c_0_106,plain,
    ( ~ n2(X1)
    | m3(X1,X1,X1) ),
    c_0_85 ).

cnf(c_0_107,plain,
    n2(X1),
    inference(spm,[status(thm)],[c_0_86,c_0_78]) ).

cnf(c_0_108,plain,
    ( ~ n3(e)
    | ~ q3(e,b)
    | ~ n0(c,d)
    | k4(c) ),
    c_0_87 ).

cnf(c_0_109,axiom,
    n0(c,d),
    axiom_34 ).

cnf(c_0_110,plain,
    ( ~ p2(X2,X3,X1)
    | n3(X1) ),
    c_0_88 ).

cnf(c_0_111,plain,
    p2(e,e,e),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_112,plain,
    ( ~ n2(X1)
    | p3(X1,X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_244]) ).

cnf(c_0_113,plain,
    ( ~ m3(X3,X1,X3)
    | ~ m2(X2)
    | ~ n2(X1)
    | m3(X1,X2,X2) ),
    c_0_91 ).

cnf(c_0_114,plain,
    ( ~ k1(b)
    | m2(b) ),
    inference(fof_simplification,[status(thm)],[rule_136]) ).

cnf(c_0_115,axiom,
    n0(a,b),
    axiom_15 ).

cnf(c_0_116,plain,
    ( ~ m2(X3)
    | ~ m2(X4)
    | ~ p1(X2,X3,X1)
    | k3(X1,X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_201]) ).

cnf(c_0_117,plain,
    p1(a,X1,a),
    inference(spm,[status(thm)],[c_0_92,c_0_72]) ).

cnf(c_0_118,plain,
    ( ~ s1(X3)
    | ~ q0(X1,X2)
    | s1(X1) ),
    c_0_93 ).

cnf(c_0_119,axiom,
    q0(X1,d),
    axiom_17 ).

cnf(c_0_120,plain,
    ( ~ p0(X1,X1)
    | s1(X1) ),
    c_0_94 ).

cnf(c_0_121,plain,
    ( ~ p2(X1,X3,X2)
    | r3(X1,X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_267]) ).

cnf(c_0_122,plain,
    ( ~ k1(X1)
    | p2(b,e,e) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_123,plain,
    k1(c),
    inference(spm,[status(thm)],[c_0_75,c_0_97]) ).

cnf(c_0_124,plain,
    ( ~ n0(X3,X1)
    | ~ q2(X3,X1,X2)
    | q3(X1,X2) ),
    c_0_98 ).

cnf(c_0_125,plain,
    ( ~ k0(X2)
    | q2(X1,X2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_78])]) ).

cnf(c_0_126,plain,
    ( ~ m1(X3,X4,X2)
    | ~ m1(X3,X2,X1)
    | m1(X1,X2,X2) ),
    c_0_100 ).

cnf(c_0_127,plain,
    m1(a,a,b),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_128,plain,
    ( ~ l0(X1)
    | m1(X1,b,X1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_129,axiom,
    l0(a),
    axiom_20 ).

cnf(c_0_130,plain,
    ( ~ m3(X1,X1,X1)
    | ~ k4(X2)
    | n4(X1,X1) ),
    c_0_105 ).

cnf(c_0_131,plain,
    m3(X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]) ).

cnf(c_0_132,plain,
    ( ~ n3(e)
    | ~ q3(e,b)
    | k4(c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109])]) ).

cnf(c_0_133,plain,
    n3(e),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_134,plain,
    ( ~ l1(X2,X1)
    | q2(X1,X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_186]) ).

cnf(c_0_135,plain,
    ( ~ p3(X2,X3,X1)
    | l4(X1) ),
    inference(fof_simplification,[status(thm)],[rule_277]) ).

cnf(c_0_136,plain,
    ( ~ n2(X1)
    | p3(X1,X1,X1) ),
    c_0_112 ).

cnf(c_0_137,plain,
    ( ~ q1(d,X2,d)
    | ~ s0(d)
    | ~ q0(X1,X2)
    | r1(X1) ),
    inference(fof_simplification,[status(thm)],[rule_124]) ).

cnf(c_0_138,plain,
    ( ~ m0(X2,X3,X1)
    | q1(X1,X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_110]) ).

cnf(c_0_139,plain,
    ( ~ m2(X2)
    | ~ m3(X3,X1,X3)
    | m3(X1,X2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_107])]) ).

cnf(c_0_140,plain,
    ( ~ k1(b)
    | m2(b) ),
    c_0_114 ).

cnf(c_0_141,plain,
    k1(b),
    inference(spm,[status(thm)],[c_0_75,c_0_115]) ).

cnf(c_0_142,plain,
    ( ~ m2(X3)
    | ~ m2(X4)
    | ~ p1(X2,X3,X1)
    | k3(X1,X1,X2) ),
    c_0_116 ).

cnf(c_0_143,plain,
    p1(X1,X2,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_117]),c_0_72])]) ).

cnf(c_0_144,plain,
    ( ~ m0(X4,X3,X1)
    | ~ s1(X3)
    | ~ p0(X2,X2)
    | l2(X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_133]) ).

cnf(c_0_145,plain,
    ( ~ s1(X2)
    | s1(X1) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_146,plain,
    s1(b),
    inference(spm,[status(thm)],[c_0_120,c_0_67]) ).

cnf(c_0_147,plain,
    ( ~ r3(X1,e,X2)
    | ~ q1(a,a,X2)
    | ~ q3(X1,X1)
    | k4(e) ),
    inference(fof_simplification,[status(thm)],[rule_276]) ).

cnf(c_0_148,plain,
    ( ~ p2(X1,X3,X2)
    | r3(X1,X2,X1) ),
    c_0_121 ).

cnf(c_0_149,plain,
    p2(b,e,e),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_150,plain,
    ( ~ n0(X2,X1)
    | ~ k0(X1)
    | q3(X1,X1) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_151,plain,
    ( ~ m1(X1,X2,X2)
    | ~ r0(X3)
    | q1(X1,X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_113]) ).

cnf(c_0_152,plain,
    ( ~ m1(a,b,X1)
    | m1(X1,b,b) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_153,plain,
    m1(a,b,a),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_154,plain,
    ( ~ n4(X2,X1)
    | n5(X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_309]) ).

cnf(c_0_155,plain,
    ( ~ k4(X2)
    | n4(X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]) ).

cnf(c_0_156,plain,
    ( ~ q3(e,b)
    | k4(c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_133])]) ).

cnf(c_0_157,plain,
    ( ~ l1(X2,X1)
    | q2(X1,X1,X2) ),
    c_0_134 ).

cnf(c_0_158,plain,
    ( ~ m0(X2,X1,X3)
    | ~ r0(X4)
    | ~ p0(X3,X1)
    | l1(X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_003]) ).

cnf(c_0_159,plain,
    ( ~ q4(X2,X3)
    | ~ l4(X2)
    | ~ r1(X1)
    | q4(X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_296]) ).

cnf(c_0_160,plain,
    ( ~ p3(X2,X3,X1)
    | l4(X1) ),
    c_0_135 ).

cnf(c_0_161,plain,
    p3(X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_107])]) ).

cnf(c_0_162,plain,
    ( ~ q1(d,X2,d)
    | ~ s0(d)
    | ~ q0(X1,X2)
    | r1(X1) ),
    c_0_137 ).

cnf(c_0_163,axiom,
    s0(d),
    axiom_1 ).

cnf(c_0_164,plain,
    ( ~ m0(X2,X3,X1)
    | q1(X1,X1,X1) ),
    c_0_138 ).

cnf(c_0_165,axiom,
    m0(X1,d,X2),
    axiom_19 ).

cnf(c_0_166,plain,
    ( ~ m3(X4,X5,X4)
    | ~ q2(X4,X2,X1)
    | ~ k3(X3,X3,X1)
    | q4(X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_295]) ).

cnf(c_0_167,plain,
    ( ~ m2(X2)
    | m3(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_139,c_0_131]) ).

cnf(c_0_168,plain,
    m2(b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141])]) ).

cnf(c_0_169,plain,
    ( ~ m2(X3)
    | ~ m2(X2)
    | k3(a,a,X1) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_170,plain,
    ( ~ m0(X4,X3,X1)
    | ~ s1(X3)
    | ~ p0(X2,X2)
    | l2(X1,X1) ),
    c_0_144 ).

cnf(c_0_171,plain,
    s1(X1),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_172,plain,
    ( ~ r3(X1,e,X2)
    | ~ q1(a,a,X2)
    | ~ q3(X1,X1)
    | k4(e) ),
    c_0_147 ).

cnf(c_0_173,plain,
    r3(b,e,b),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_174,plain,
    q3(b,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_115]),c_0_104])]) ).

cnf(c_0_175,plain,
    ( ~ m1(X1,X2,X2)
    | ~ r0(X3)
    | q1(X1,X1,X2) ),
    c_0_151 ).

cnf(c_0_176,plain,
    m1(a,b,b),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_177,plain,
    ( ~ n4(X2,X1)
    | n5(X1,X1) ),
    c_0_154 ).

cnf(c_0_178,plain,
    ( ~ q3(e,b)
    | n4(X1,X1) ),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_179,plain,
    ( ~ n0(X1,X1)
    | ~ l1(X2,X1)
    | q3(X1,X2) ),
    inference(spm,[status(thm)],[c_0_124,c_0_157]) ).

cnf(c_0_180,plain,
    ( ~ m0(X2,X1,X3)
    | ~ r0(X4)
    | ~ p0(X3,X1)
    | l1(X1,X2) ),
    c_0_158 ).

cnf(c_0_181,axiom,
    m0(e,b,c),
    axiom_27 ).

cnf(c_0_182,axiom,
    p0(c,b),
    axiom_18 ).

cnf(c_0_183,plain,
    ( ~ q4(X2,X3)
    | ~ l4(X2)
    | ~ r1(X1)
    | q4(X1,X1) ),
    c_0_159 ).

cnf(c_0_184,plain,
    l4(X1),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_185,plain,
    ( ~ q0(X1,X2)
    | ~ q1(d,X2,d)
    | r1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_163])]) ).

cnf(c_0_186,plain,
    q1(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_187,plain,
    ( ~ m3(X4,X5,X4)
    | ~ q2(X4,X2,X1)
    | ~ k3(X3,X3,X1)
    | q4(X1,X2) ),
    c_0_166 ).

cnf(c_0_188,plain,
    m3(X1,b,b),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_189,plain,
    ( ~ m2(X2)
    | k3(a,a,X1) ),
    inference(spm,[status(thm)],[c_0_169,c_0_168]) ).

cnf(c_0_190,plain,
    ( ~ l2(X2,X1)
    | ~ l0(c)
    | ~ k1(X2)
    | q2(X1,c,X2) ),
    inference(fof_simplification,[status(thm)],[rule_183]) ).

cnf(c_0_191,plain,
    ( ~ m0(X3,X4,X1)
    | ~ p0(X2,X2)
    | l2(X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171])]) ).

cnf(c_0_192,plain,
    ( ~ q1(a,a,b)
    | k4(e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174])]) ).

cnf(c_0_193,plain,
    ( ~ r0(X1)
    | q1(a,a,b) ),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_194,axiom,
    r0(b),
    axiom_9 ).

cnf(c_0_195,plain,
    ( ~ p2(X1,X2,X1)
    | ~ l1(X3,X4)
    | ~ p1(X1,X3,X4)
    | p2(X1,X2,X2) ),
    inference(fof_simplification,[status(thm)],[rule_146]) ).

cnf(c_0_196,plain,
    ( ~ n0(X2,X1)
    | l1(X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_002]) ).

cnf(c_0_197,plain,
    ( ~ p3(X2,X2,X1)
    | p4(X1,X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_291]) ).

cnf(c_0_198,plain,
    ( ~ q3(e,b)
    | n5(X1,X1) ),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

cnf(c_0_199,plain,
    ( ~ l1(X1,e)
    | q3(e,X1) ),
    inference(spm,[status(thm)],[c_0_179,c_0_76]) ).

cnf(c_0_200,plain,
    ( ~ r0(X1)
    | l1(b,e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182])]) ).

cnf(c_0_201,plain,
    ( ~ r1(X1)
    | ~ q4(X2,X3)
    | q4(X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_184])]) ).

cnf(c_0_202,plain,
    r1(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_119]),c_0_186])]) ).

cnf(c_0_203,plain,
    ( ~ q2(b,X2,X1)
    | ~ k3(X3,X3,X1)
    | q4(X1,X2) ),
    inference(spm,[status(thm)],[c_0_187,c_0_188]) ).

cnf(c_0_204,plain,
    k3(a,a,X1),
    inference(spm,[status(thm)],[c_0_189,c_0_168]) ).

cnf(c_0_205,plain,
    ( ~ l2(X2,X1)
    | ~ l0(c)
    | ~ k1(X2)
    | q2(X1,c,X2) ),
    c_0_190 ).

cnf(c_0_206,axiom,
    l0(c),
    axiom_24 ).

cnf(c_0_207,plain,
    ( ~ p0(X2,X2)
    | l2(X1,X1) ),
    inference(spm,[status(thm)],[c_0_191,c_0_165]) ).

cnf(c_0_208,plain,
    ( ~ n4(X1,X1)
    | ~ p3(X1,X2,X2)
    | n4(X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_281]) ).

cnf(c_0_209,plain,
    ( ~ q1(a,a,b)
    | n4(X1,X1) ),
    inference(spm,[status(thm)],[c_0_155,c_0_192]) ).

cnf(c_0_210,plain,
    q1(a,a,b),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_211,plain,
    ( ~ p2(X1,X2,X4)
    | ~ m3(X2,X3,X4)
    | p3(X1,X2,X2) ),
    inference(fof_simplification,[status(thm)],[rule_251]) ).

cnf(c_0_212,plain,
    ( ~ p2(X1,X2,X1)
    | ~ l1(X3,X4)
    | ~ p1(X1,X3,X4)
    | p2(X1,X2,X2) ),
    c_0_195 ).

cnf(c_0_213,plain,
    ( ~ n0(X2,X1)
    | l1(X1,X1) ),
    c_0_196 ).

cnf(c_0_214,axiom,
    n0(b,a),
    axiom_37 ).

cnf(c_0_215,plain,
    ( ~ n5(X5,X2)
    | ~ p4(X5,X5,X2)
    | ~ n4(X1,X4)
    | ~ q4(X3,X4)
    | n5(X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_307]) ).

cnf(c_0_216,plain,
    ( ~ p3(X2,X2,X1)
    | p4(X1,X1,X1) ),
    c_0_197 ).

cnf(c_0_217,plain,
    ( ~ l1(b,e)
    | n5(X1,X1) ),
    inference(spm,[status(thm)],[c_0_198,c_0_199]) ).

cnf(c_0_218,plain,
    l1(b,e),
    inference(spm,[status(thm)],[c_0_200,c_0_194]) ).

cnf(c_0_219,plain,
    ( ~ q4(X2,X3)
    | q4(X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_202])]) ).

cnf(c_0_220,plain,
    ( ~ q2(b,X2,X1)
    | q4(X1,X2) ),
    inference(spm,[status(thm)],[c_0_203,c_0_204]) ).

cnf(c_0_221,plain,
    ( ~ k1(X2)
    | ~ l2(X2,X1)
    | q2(X1,c,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_206])]) ).

cnf(c_0_222,plain,
    l2(X1,X1),
    inference(spm,[status(thm)],[c_0_207,c_0_67]) ).

cnf(c_0_223,plain,
    ( ~ n4(X1,X1)
    | ~ p3(X1,X2,X2)
    | n4(X1,X2) ),
    c_0_208 ).

cnf(c_0_224,plain,
    n4(X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_210])]) ).

cnf(c_0_225,plain,
    ( ~ p2(X1,X2,X4)
    | ~ m3(X2,X3,X4)
    | p3(X1,X2,X2) ),
    c_0_211 ).

cnf(c_0_226,plain,
    ( ~ l1(X3,a)
    | ~ p2(X1,X2,X1)
    | p2(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_143]) ).

cnf(c_0_227,plain,
    l1(a,a),
    inference(spm,[status(thm)],[c_0_213,c_0_214]) ).

cnf(c_0_228,plain,
    ( ~ n5(X5,X2)
    | ~ p4(X5,X5,X2)
    | ~ n4(X1,X4)
    | ~ q4(X3,X4)
    | n5(X1,X2) ),
    c_0_215 ).

cnf(c_0_229,plain,
    p4(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_216,c_0_161]) ).

cnf(c_0_230,plain,
    n5(X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_218])]) ).

cnf(c_0_231,plain,
    ( ~ q2(b,X2,X3)
    | q4(X1,X1) ),
    inference(spm,[status(thm)],[c_0_219,c_0_220]) ).

cnf(c_0_232,plain,
    ( ~ k1(X1)
    | q2(X1,c,X1) ),
    inference(spm,[status(thm)],[c_0_221,c_0_222]) ).

cnf(c_0_233,plain,
    ( ~ p3(X1,X2,X2)
    | n4(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_224])]) ).

cnf(c_0_234,plain,
    ( ~ p2(X1,X2,X2)
    | p3(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_225,c_0_131]) ).

cnf(c_0_235,plain,
    ( ~ p2(X1,X2,X1)
    | p2(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_236,plain,
    ( ~ n4(X1,X4)
    | ~ q4(X3,X4)
    | n5(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230])]) ).

cnf(c_0_237,plain,
    q4(X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_141])]) ).

cnf(c_0_238,plain,
    ( ~ p2(X1,X2,X2)
    | n4(X1,X2) ),
    inference(spm,[status(thm)],[c_0_233,c_0_234]) ).

cnf(c_0_239,plain,
    p2(X1,b,b),
    inference(spm,[status(thm)],[c_0_235,c_0_96]) ).

cnf(c_0_240,negated_conjecture,
    ~ n5(a,e),
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_241,plain,
    ( ~ n4(X1,X3)
    | n5(X1,X2) ),
    inference(spm,[status(thm)],[c_0_236,c_0_237]) ).

cnf(c_0_242,plain,
    n4(X1,b),
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_243,negated_conjecture,
    ~ n5(a,e),
    c_0_240 ).

cnf(c_0_244,plain,
    n5(X1,X2),
    inference(spm,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_245,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_244])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN159-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35  % Computer : n010.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 10:45:11 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.52  % Version: 3.5.1
% 0.48/0.52  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.48/0.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.52  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.48/0.52  % Starting new_bool_3 with 300s (1) cores
% 0.48/0.52  % Starting new_bool_1 with 300s (1) cores
% 0.48/0.52  % Starting sh5l with 300s (1) cores
% 0.48/0.52  % new_bool_3 with pid 697902 completed with status 0
% 0.48/0.52  % Result found by new_bool_3
% 0.48/0.52  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.48/0.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.52  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.48/0.52  % Starting new_bool_3 with 300s (1) cores
% 0.48/0.52  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.48/0.52  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.48/0.52  % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.48/0.52  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.48/0.52  % Starting SubtermCWHack with 31s (1) cores
% 0.48/0.52  % SubtermCWHack with pid 697909 completed with status 0
% 0.48/0.52  % Result found by SubtermCWHack
% 0.48/0.52  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.48/0.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.52  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.48/0.52  % Starting new_bool_3 with 300s (1) cores
% 0.48/0.52  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.48/0.52  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.48/0.52  % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.48/0.52  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.48/0.52  % Starting SubtermCWHack with 31s (1) cores
% 0.48/0.52  % Preprocessing time       : 0.004 s
% 0.48/0.52  
% 0.48/0.52  % Proof found!
% 0.48/0.52  % SZS status Unsatisfiable
% 0.48/0.52  % SZS output start CNFRefutation
% See solution above
% 0.48/0.52  % Parsed axioms                        : 369
% 0.48/0.52  % Removed by relevancy pruning/SinE    : 26
% 0.48/0.52  % Initial clauses                      : 343
% 0.48/0.52  % Removed in clause preprocessing      : 6
% 0.48/0.52  % Initial clauses in saturation        : 337
% 0.48/0.52  % Processed clauses                    : 1569
% 0.48/0.52  % ...of these trivial                  : 162
% 0.48/0.52  % ...subsumed                          : 265
% 0.48/0.52  % ...remaining for further processing  : 1142
% 0.48/0.52  % Other redundant clauses eliminated   : 0
% 0.48/0.52  % Clauses deleted for lack of memory   : 0
% 0.48/0.52  % Backward-subsumed                    : 242
% 0.48/0.52  % Backward-rewritten                   : 351
% 0.48/0.52  % Generated clauses                    : 2258
% 0.48/0.52  % ...of the previous two non-redundant : 1733
% 0.48/0.52  % ...aggressively subsumed             : 0
% 0.48/0.52  % Contextual simplify-reflections      : 1
% 0.48/0.52  % Paramodulations                      : 2258
% 0.48/0.52  % Factorizations                       : 0
% 0.48/0.52  % NegExts                              : 0
% 0.48/0.52  % Equation resolutions                 : 0
% 0.48/0.52  % Disequality decompositions           : 0
% 0.48/0.52  % Total rewrite steps                  : 1592
% 0.48/0.52  % ...of those cached                   : 1081
% 0.48/0.52  % Propositional unsat checks           : 0
% 0.48/0.52  %    Propositional check models        : 0
% 0.48/0.52  %    Propositional check unsatisfiable : 0
% 0.48/0.52  %    Propositional clauses             : 0
% 0.48/0.52  %    Propositional clauses after purity: 0
% 0.48/0.52  %    Propositional unsat core size     : 0
% 0.48/0.52  %    Propositional preprocessing time  : 0.000
% 0.48/0.52  %    Propositional encoding time       : 0.000
% 0.48/0.52  %    Propositional solver time         : 0.000
% 0.48/0.52  %    Success case prop preproc time    : 0.000
% 0.48/0.52  %    Success case prop encoding time   : 0.000
% 0.48/0.52  %    Success case prop solver time     : 0.000
% 0.48/0.52  % Current number of processed clauses  : 549
% 0.48/0.52  %    Positive orientable unit clauses  : 242
% 0.48/0.52  %    Positive unorientable unit clauses: 0
% 0.48/0.52  %    Negative unit clauses             : 0
% 0.48/0.52  %    Non-unit-clauses                  : 307
% 0.48/0.52  % Current number of unprocessed clauses: 169
% 0.48/0.52  % ...number of literals in the above   : 611
% 0.48/0.52  % Current number of archived formulas  : 0
% 0.48/0.52  % Current number of archived clauses   : 593
% 0.48/0.52  % Clause-clause subsumption calls (NU) : 38992
% 0.48/0.52  % Rec. Clause-clause subsumption calls : 32596
% 0.48/0.52  % Non-unit clause-clause subsumptions  : 426
% 0.48/0.52  % Unit Clause-clause subsumption calls : 4026
% 0.48/0.52  % Rewrite failures with RHS unbound    : 0
% 0.48/0.52  % BW rewrite match attempts            : 746
% 0.48/0.52  % BW rewrite match successes           : 302
% 0.48/0.52  % Condensation attempts                : 0
% 0.48/0.52  % Condensation successes               : 0
% 0.48/0.52  % Termbank termtop insertions          : 35915
% 0.48/0.52  % Search garbage collected termcells   : 1499
% 0.48/0.52  
% 0.48/0.52  % -------------------------------------------------
% 0.48/0.52  % User time                : 0.095 s
% 0.48/0.52  % System time              : 0.010 s
% 0.48/0.52  % Total time               : 0.105 s
% 0.48/0.52  % Maximum resident set size: 4472 pages
% 0.48/0.52  
% 0.48/0.52  % -------------------------------------------------
% 0.48/0.52  % User time                : 0.099 s
% 0.48/0.52  % System time              : 0.013 s
% 0.48/0.52  % Total time               : 0.112 s
% 0.48/0.52  % Maximum resident set size: 5120 pages
% 0.48/0.52  % E exiting
%------------------------------------------------------------------------------