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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN163-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 0.32s 0.50s
% Output   : CNFRefutation 0.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   58
% Syntax   : Number of clauses     :  236 (  75 unt;   0 nHn; 187 RR)
%            Number of literals    :  523 (   0 equ; 290 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   :  426 ( 138 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_085,axiom,
    ( ~ p0(X2,X1)
    | p1(X1,X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_085) ).

cnf(rule_029,axiom,
    ( ~ s0(X1)
    | ~ p0(X1,X2)
    | m1(X1,X2,X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_024) ).

cnf(rule_137,axiom,
    ( ~ p1(X2,X3,X1)
    | n2(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).

cnf(axiom_14,axiom,
    p0(b,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(rule_001,axiom,
    ( ~ n0(X2,X1)
    | k1(X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_082) ).

cnf(rule_176,axiom,
    ( ~ m1(X2,X1,X2)
    | p2(X1,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_176) ).

cnf(axiom_5,axiom,
    s0(b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).

cnf(axiom_12,axiom,
    m0(a,X1,a),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_12) ).

cnf(rule_174,axiom,
    ( ~ k1(e)
    | ~ n2(X1)
    | p2(X1,X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_174) ).

cnf(axiom_30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).

cnf(rule_155,axiom,
    ( ~ p2(e,X1,X2)
    | ~ k1(X3)
    | p2(X1,X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_155) ).

cnf(rule_177,axiom,
    ( ~ p1(X1,X1,X1)
    | ~ k0(X2)
    | q2(X1,X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_177) ).

cnf(rule_021,axiom,
    ( ~ k0(X2)
    | ~ l0(X1)
    | m1(X1,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_021) ).

cnf(rule_240,axiom,
    ( ~ p2(X2,X3,X1)
    | n3(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).

cnf(rule_181,axiom,
    ( ~ p1(X1,X1,X1)
    | q2(X1,X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).

cnf(rule_228,axiom,
    ( ~ m3(X3,X1,X3)
    | ~ m2(X2)
    | ~ n2(X1)
    | m3(X1,X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_228) ).

cnf(rule_236,axiom,
    ( ~ n2(X1)
    | m3(X1,X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_236) ).

cnf(rule_126,axiom,
    ( ~ s1(X3)
    | ~ q0(X1,X2)
    | s1(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).

cnf(rule_125,axiom,
    ( ~ p0(X1,X1)
    | s1(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).

cnf(axiom_26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).

cnf(rule_255,axiom,
    ( ~ n0(X3,X1)
    | ~ q2(X3,X1,X2)
    | q3(X1,X2) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_016) ).

cnf(axiom_36,axiom,
    q0(a,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_36) ).

cnf(axiom_32,axiom,
    k0(b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).

cnf(rule_298,axiom,
    ( ~ p0(X4,X1)
    | ~ q3(X2,X3)
    | ~ n3(X1)
    | r4(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_298) ).

cnf(rule_244,axiom,
    ( ~ n2(X1)
    | p3(X1,X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_244) ).

cnf(rule_136,axiom,
    ( ~ k1(b)
    | m2(b) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_136) ).

cnf(axiom_15,axiom,
    n0(a,b),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_201) ).

cnf(axiom_17,axiom,
    q0(X1,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).

cnf(rule_267,axiom,
    ( ~ p2(X1,X3,X2)
    | r3(X1,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_267) ).

cnf(axiom_20,axiom,
    l0(a),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).

cnf(rule_277,axiom,
    ( ~ p3(X2,X3,X1)
    | l4(X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).

cnf(rule_110,axiom,
    ( ~ m0(X2,X3,X1)
    | q1(X1,X1,X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).

cnf(rule_284,axiom,
    ( ~ m3(X1,X1,X1)
    | ~ k4(X2)
    | n4(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_284) ).

cnf(rule_276,axiom,
    ( ~ r3(X1,e,X2)
    | ~ q1(a,a,X2)
    | ~ q3(X1,X1)
    | k4(e) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_276) ).

cnf(rule_113,axiom,
    ( ~ m1(X1,X2,X2)
    | ~ r0(X3)
    | q1(X1,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_113) ).

cnf(rule_296,axiom,
    ( ~ q4(X2,X3)
    | ~ l4(X2)
    | ~ r1(X1)
    | q4(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_296) ).

cnf(axiom_1,axiom,
    s0(d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).

cnf(axiom_19,axiom,
    m0(X1,d,X2),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_295) ).

cnf(rule_183,axiom,
    ( ~ l2(X2,X1)
    | ~ l0(c)
    | ~ k1(X2)
    | q2(X1,c,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_183) ).

cnf(axiom_9,axiom,
    r0(b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).

cnf(rule_063,axiom,
    ( ~ k0(X2)
    | ~ n0(d,X1)
    | p1(X1,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_063) ).

cnf(rule_291,axiom,
    ( ~ p3(X2,X2,X1)
    | p4(X1,X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_291) ).

cnf(rule_314,axiom,
    ( ~ r4(X1)
    | n5(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_314) ).

cnf(axiom_24,axiom,
    l0(c),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).

cnf(rule_281,axiom,
    ( ~ n4(X1,X1)
    | ~ p3(X1,X2,X2)
    | n4(X1,X2) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_251) ).

cnf(rule_145,axiom,
    ( ~ p1(X1,X2,e)
    | ~ r0(e)
    | p2(e,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_145) ).

cnf(rule_307,axiom,
    ( ~ n5(X5,X2)
    | ~ p4(X5,X5,X2)
    | ~ n4(X1,X4)
    | ~ q4(X3,X4)
    | n5(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_307) ).

cnf(axiom_13,axiom,
    r0(e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).

cnf(axiom_28,axiom,
    k0(e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).

cnf(prove_this,negated_conjecture,
    ~ n5(e,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(c_0_58,plain,
    ( ~ p0(X2,X1)
    | p1(X1,X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_085]) ).

cnf(c_0_59,plain,
    ( ~ s0(X1)
    | ~ p0(X1,X2)
    | m1(X1,X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_029]) ).

cnf(c_0_60,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_61,plain,
    ( ~ p1(X2,X3,X1)
    | n2(X1) ),
    inference(fof_simplification,[status(thm)],[rule_137]) ).

cnf(c_0_62,plain,
    ( ~ p0(X2,X1)
    | p1(X1,X1,X1) ),
    c_0_58 ).

cnf(c_0_63,axiom,
    p0(b,X1),
    axiom_14 ).

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

cnf(c_0_67,plain,
    ( ~ s0(X1)
    | ~ p0(X1,X2)
    | m1(X1,X2,X1) ),
    c_0_59 ).

cnf(c_0_68,axiom,
    s0(b),
    axiom_5 ).

cnf(c_0_69,plain,
    ( ~ m1(X2,c,X2)
    | ~ q0(X1,X2)
    | ~ m0(a,X3,a)
    | m1(X1,a,X2) ),
    c_0_60 ).

cnf(c_0_70,axiom,
    m0(a,X1,a),
    axiom_12 ).

cnf(c_0_71,plain,
    ( ~ k1(e)
    | ~ n2(X1)
    | p2(X1,X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_174]) ).

cnf(c_0_72,plain,
    ( ~ p1(X2,X3,X1)
    | n2(X1) ),
    c_0_61 ).

cnf(c_0_73,plain,
    p1(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_74,plain,
    ( ~ n0(X2,X1)
    | k1(X1) ),
    c_0_64 ).

cnf(c_0_75,axiom,
    n0(e,e),
    axiom_30 ).

cnf(c_0_76,plain,
    ( ~ p1(X3,X1,X4)
    | ~ m0(X3,X1,X4)
    | p1(X1,X2,X3) ),
    c_0_65 ).

cnf(c_0_77,plain,
    ( ~ p2(e,X1,X2)
    | ~ k1(X3)
    | p2(X1,X2,X2) ),
    inference(fof_simplification,[status(thm)],[rule_155]) ).

cnf(c_0_78,plain,
    ( ~ m1(X2,X1,X2)
    | p2(X1,X2,X1) ),
    c_0_66 ).

cnf(c_0_79,plain,
    m1(b,X1,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_63]),c_0_68])]) ).

cnf(c_0_80,plain,
    ( ~ p1(X1,X1,X1)
    | ~ k0(X2)
    | q2(X1,X2,X2) ),
    inference(fof_simplification,[status(thm)],[rule_177]) ).

cnf(c_0_81,plain,
    ( ~ q0(X1,X2)
    | ~ m1(X2,c,X2)
    | m1(X1,a,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]) ).

cnf(c_0_82,plain,
    ( ~ k0(X2)
    | ~ l0(X1)
    | m1(X1,X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_021]) ).

cnf(c_0_83,plain,
    ( ~ p2(X2,X3,X1)
    | n3(X1) ),
    inference(fof_simplification,[status(thm)],[rule_240]) ).

cnf(c_0_84,plain,
    ( ~ k1(e)
    | ~ n2(X1)
    | p2(X1,X1,X1) ),
    c_0_71 ).

cnf(c_0_85,plain,
    n2(X1),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_86,plain,
    k1(e),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_87,plain,
    ( ~ p1(X1,X1,X1)
    | q2(X1,X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_181]) ).

cnf(c_0_88,plain,
    ( ~ m3(X3,X1,X3)
    | ~ m2(X2)
    | ~ n2(X1)
    | m3(X1,X2,X2) ),
    inference(fof_simplification,[status(thm)],[rule_228]) ).

cnf(c_0_89,plain,
    ( ~ n2(X1)
    | m3(X1,X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_236]) ).

cnf(c_0_90,plain,
    ( ~ m0(X1,X1,X1)
    | p1(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_73]) ).

cnf(c_0_91,plain,
    ( ~ s1(X3)
    | ~ q0(X1,X2)
    | s1(X1) ),
    inference(fof_simplification,[status(thm)],[rule_126]) ).

cnf(c_0_92,plain,
    ( ~ p0(X1,X1)
    | s1(X1) ),
    inference(fof_simplification,[status(thm)],[rule_125]) ).

cnf(c_0_93,plain,
    ( ~ p2(e,X1,X2)
    | ~ k1(X3)
    | p2(X1,X2,X2) ),
    c_0_77 ).

cnf(c_0_94,plain,
    p2(X1,b,X1),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_95,axiom,
    n0(d,c),
    axiom_26 ).

cnf(c_0_96,plain,
    ( ~ n0(X3,X1)
    | ~ q2(X3,X1,X2)
    | q3(X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_255]) ).

cnf(c_0_97,plain,
    ( ~ p1(X1,X1,X1)
    | ~ k0(X2)
    | q2(X1,X2,X2) ),
    c_0_80 ).

cnf(c_0_98,plain,
    ( ~ m1(X3,X4,X2)
    | ~ m1(X3,X2,X1)
    | m1(X1,X2,X2) ),
    inference(fof_simplification,[status(thm)],[rule_016]) ).

cnf(c_0_99,plain,
    ( ~ q0(X1,b)
    | m1(X1,a,b) ),
    inference(spm,[status(thm)],[c_0_81,c_0_79]) ).

cnf(c_0_100,axiom,
    q0(a,b),
    axiom_36 ).

cnf(c_0_101,plain,
    ( ~ k0(X2)
    | ~ l0(X1)
    | m1(X1,X2,X1) ),
    c_0_82 ).

cnf(c_0_102,axiom,
    k0(b),
    axiom_32 ).

cnf(c_0_103,plain,
    ( ~ p0(X4,X1)
    | ~ q3(X2,X3)
    | ~ n3(X1)
    | r4(X1) ),
    inference(fof_simplification,[status(thm)],[rule_298]) ).

cnf(c_0_104,plain,
    ( ~ p2(X2,X3,X1)
    | n3(X1) ),
    c_0_83 ).

cnf(c_0_105,plain,
    p2(X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).

cnf(c_0_106,plain,
    ( ~ p1(X1,X1,X1)
    | q2(X1,X1,X1) ),
    c_0_87 ).

cnf(c_0_107,plain,
    ( ~ n2(X1)
    | p3(X1,X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_244]) ).

cnf(c_0_108,plain,
    ( ~ m3(X3,X1,X3)
    | ~ m2(X2)
    | ~ n2(X1)
    | m3(X1,X2,X2) ),
    c_0_88 ).

cnf(c_0_109,plain,
    ( ~ n2(X1)
    | m3(X1,X1,X1) ),
    c_0_89 ).

cnf(c_0_110,plain,
    ( ~ k1(b)
    | m2(b) ),
    inference(fof_simplification,[status(thm)],[rule_136]) ).

cnf(c_0_111,axiom,
    n0(a,b),
    axiom_15 ).

cnf(c_0_112,plain,
    ( ~ m2(X3)
    | ~ m2(X4)
    | ~ p1(X2,X3,X1)
    | k3(X1,X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_201]) ).

cnf(c_0_113,plain,
    p1(a,X1,a),
    inference(spm,[status(thm)],[c_0_90,c_0_70]) ).

cnf(c_0_114,plain,
    ( ~ s1(X3)
    | ~ q0(X1,X2)
    | s1(X1) ),
    c_0_91 ).

cnf(c_0_115,axiom,
    q0(X1,d),
    axiom_17 ).

cnf(c_0_116,plain,
    ( ~ p0(X1,X1)
    | s1(X1) ),
    c_0_92 ).

cnf(c_0_117,plain,
    ( ~ p2(X1,X3,X2)
    | r3(X1,X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_267]) ).

cnf(c_0_118,plain,
    ( ~ k1(X1)
    | p2(b,e,e) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_119,plain,
    k1(c),
    inference(spm,[status(thm)],[c_0_74,c_0_95]) ).

cnf(c_0_120,plain,
    ( ~ n0(X3,X1)
    | ~ q2(X3,X1,X2)
    | q3(X1,X2) ),
    c_0_96 ).

cnf(c_0_121,plain,
    ( ~ k0(X2)
    | q2(X1,X2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_73])]) ).

cnf(c_0_122,plain,
    ( ~ m1(X3,X4,X2)
    | ~ m1(X3,X2,X1)
    | m1(X1,X2,X2) ),
    c_0_98 ).

cnf(c_0_123,plain,
    m1(a,a,b),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_124,plain,
    ( ~ l0(X1)
    | m1(X1,b,X1) ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_125,axiom,
    l0(a),
    axiom_20 ).

cnf(c_0_126,plain,
    ( ~ p0(X4,X1)
    | ~ q3(X2,X3)
    | ~ n3(X1)
    | r4(X1) ),
    c_0_103 ).

cnf(c_0_127,plain,
    n3(X1),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_128,plain,
    q2(X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_73])]) ).

cnf(c_0_129,plain,
    ( ~ p3(X2,X3,X1)
    | l4(X1) ),
    inference(fof_simplification,[status(thm)],[rule_277]) ).

cnf(c_0_130,plain,
    ( ~ n2(X1)
    | p3(X1,X1,X1) ),
    c_0_107 ).

cnf(c_0_131,plain,
    ( ~ q1(d,X2,d)
    | ~ s0(d)
    | ~ q0(X1,X2)
    | r1(X1) ),
    inference(fof_simplification,[status(thm)],[rule_124]) ).

cnf(c_0_132,plain,
    ( ~ m0(X2,X3,X1)
    | q1(X1,X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_110]) ).

cnf(c_0_133,plain,
    ( ~ m2(X2)
    | ~ m3(X3,X1,X3)
    | m3(X1,X2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_85])]) ).

cnf(c_0_134,plain,
    m3(X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_85])]) ).

cnf(c_0_135,plain,
    ( ~ k1(b)
    | m2(b) ),
    c_0_110 ).

cnf(c_0_136,plain,
    k1(b),
    inference(spm,[status(thm)],[c_0_74,c_0_111]) ).

cnf(c_0_137,plain,
    ( ~ m2(X3)
    | ~ m2(X4)
    | ~ p1(X2,X3,X1)
    | k3(X1,X1,X2) ),
    c_0_112 ).

cnf(c_0_138,plain,
    p1(X1,X2,a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_113]),c_0_70])]) ).

cnf(c_0_139,plain,
    ( ~ m0(X4,X3,X1)
    | ~ s1(X3)
    | ~ p0(X2,X2)
    | l2(X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_133]) ).

cnf(c_0_140,plain,
    ( ~ s1(X2)
    | s1(X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_141,plain,
    s1(b),
    inference(spm,[status(thm)],[c_0_116,c_0_63]) ).

cnf(c_0_142,plain,
    ( ~ m3(X1,X1,X1)
    | ~ k4(X2)
    | n4(X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_284]) ).

cnf(c_0_143,plain,
    ( ~ r3(X1,e,X2)
    | ~ q1(a,a,X2)
    | ~ q3(X1,X1)
    | k4(e) ),
    inference(fof_simplification,[status(thm)],[rule_276]) ).

cnf(c_0_144,plain,
    ( ~ p2(X1,X3,X2)
    | r3(X1,X2,X1) ),
    c_0_117 ).

cnf(c_0_145,plain,
    p2(b,e,e),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_146,plain,
    ( ~ n0(X2,X1)
    | ~ k0(X1)
    | q3(X1,X1) ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_147,plain,
    ( ~ m1(X1,X2,X2)
    | ~ r0(X3)
    | q1(X1,X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_113]) ).

cnf(c_0_148,plain,
    ( ~ m1(a,b,X1)
    | m1(X1,b,b) ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_149,plain,
    m1(a,b,a),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_150,plain,
    ( ~ p0(X4,X1)
    | ~ q3(X2,X3)
    | r4(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_127])]) ).

cnf(c_0_151,plain,
    ( ~ n0(X1,X1)
    | q3(X1,X1) ),
    inference(spm,[status(thm)],[c_0_120,c_0_128]) ).

cnf(c_0_152,plain,
    ( ~ q4(X2,X3)
    | ~ l4(X2)
    | ~ r1(X1)
    | q4(X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_296]) ).

cnf(c_0_153,plain,
    ( ~ p3(X2,X3,X1)
    | l4(X1) ),
    c_0_129 ).

cnf(c_0_154,plain,
    p3(X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_85])]) ).

cnf(c_0_155,plain,
    ( ~ q1(d,X2,d)
    | ~ s0(d)
    | ~ q0(X1,X2)
    | r1(X1) ),
    c_0_131 ).

cnf(c_0_156,axiom,
    s0(d),
    axiom_1 ).

cnf(c_0_157,plain,
    ( ~ m0(X2,X3,X1)
    | q1(X1,X1,X1) ),
    c_0_132 ).

cnf(c_0_158,axiom,
    m0(X1,d,X2),
    axiom_19 ).

cnf(c_0_159,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_160,plain,
    ( ~ m2(X2)
    | m3(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_161,plain,
    m2(b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_136])]) ).

cnf(c_0_162,plain,
    ( ~ m2(X3)
    | ~ m2(X2)
    | k3(a,a,X1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_163,plain,
    ( ~ m0(X4,X3,X1)
    | ~ s1(X3)
    | ~ p0(X2,X2)
    | l2(X1,X1) ),
    c_0_139 ).

cnf(c_0_164,plain,
    s1(X1),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_165,plain,
    ( ~ m3(X1,X1,X1)
    | ~ k4(X2)
    | n4(X1,X1) ),
    c_0_142 ).

cnf(c_0_166,plain,
    ( ~ r3(X1,e,X2)
    | ~ q1(a,a,X2)
    | ~ q3(X1,X1)
    | k4(e) ),
    c_0_143 ).

cnf(c_0_167,plain,
    r3(b,e,b),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_168,plain,
    q3(b,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_111]),c_0_102])]) ).

cnf(c_0_169,plain,
    ( ~ m1(X1,X2,X2)
    | ~ r0(X3)
    | q1(X1,X1,X2) ),
    c_0_147 ).

cnf(c_0_170,plain,
    m1(a,b,b),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_171,plain,
    ( ~ n0(X3,X3)
    | ~ p0(X2,X1)
    | r4(X1) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_172,plain,
    ( ~ q4(X2,X3)
    | ~ l4(X2)
    | ~ r1(X1)
    | q4(X1,X1) ),
    c_0_152 ).

cnf(c_0_173,plain,
    l4(X1),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_174,plain,
    ( ~ q0(X1,X2)
    | ~ q1(d,X2,d)
    | r1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_156])]) ).

cnf(c_0_175,plain,
    q1(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_176,plain,
    ( ~ m3(X4,X5,X4)
    | ~ q2(X4,X2,X1)
    | ~ k3(X3,X3,X1)
    | q4(X1,X2) ),
    c_0_159 ).

cnf(c_0_177,plain,
    m3(X1,b,b),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_178,plain,
    ( ~ m2(X2)
    | k3(a,a,X1) ),
    inference(spm,[status(thm)],[c_0_162,c_0_161]) ).

cnf(c_0_179,plain,
    ( ~ l2(X2,X1)
    | ~ l0(c)
    | ~ k1(X2)
    | q2(X1,c,X2) ),
    inference(fof_simplification,[status(thm)],[rule_183]) ).

cnf(c_0_180,plain,
    ( ~ m0(X3,X4,X1)
    | ~ p0(X2,X2)
    | l2(X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_164])]) ).

cnf(c_0_181,plain,
    ( ~ k4(X2)
    | n4(X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_134])]) ).

cnf(c_0_182,plain,
    ( ~ q1(a,a,b)
    | k4(e) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168])]) ).

cnf(c_0_183,plain,
    ( ~ r0(X1)
    | q1(a,a,b) ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_184,axiom,
    r0(b),
    axiom_9 ).

cnf(c_0_185,plain,
    ( ~ k0(X2)
    | ~ n0(d,X1)
    | p1(X1,X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_063]) ).

cnf(c_0_186,plain,
    ( ~ p3(X2,X2,X1)
    | p4(X1,X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_291]) ).

cnf(c_0_187,plain,
    ( ~ r4(X1)
    | n5(X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_314]) ).

cnf(c_0_188,plain,
    ( ~ n0(X2,X2)
    | r4(X1) ),
    inference(spm,[status(thm)],[c_0_171,c_0_63]) ).

cnf(c_0_189,plain,
    ( ~ r1(X1)
    | ~ q4(X2,X3)
    | q4(X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_173])]) ).

cnf(c_0_190,plain,
    r1(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_115]),c_0_175])]) ).

cnf(c_0_191,plain,
    ( ~ q2(b,X2,X1)
    | ~ k3(X3,X3,X1)
    | q4(X1,X2) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_192,plain,
    k3(a,a,X1),
    inference(spm,[status(thm)],[c_0_178,c_0_161]) ).

cnf(c_0_193,plain,
    ( ~ l2(X2,X1)
    | ~ l0(c)
    | ~ k1(X2)
    | q2(X1,c,X2) ),
    c_0_179 ).

cnf(c_0_194,axiom,
    l0(c),
    axiom_24 ).

cnf(c_0_195,plain,
    ( ~ p0(X2,X2)
    | l2(X1,X1) ),
    inference(spm,[status(thm)],[c_0_180,c_0_158]) ).

cnf(c_0_196,plain,
    ( ~ n4(X1,X1)
    | ~ p3(X1,X2,X2)
    | n4(X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_281]) ).

cnf(c_0_197,plain,
    ( ~ q1(a,a,b)
    | n4(X1,X1) ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_198,plain,
    q1(a,a,b),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_199,plain,
    ( ~ p2(X1,X2,X4)
    | ~ m3(X2,X3,X4)
    | p3(X1,X2,X2) ),
    inference(fof_simplification,[status(thm)],[rule_251]) ).

cnf(c_0_200,plain,
    ( ~ p1(X1,X2,e)
    | ~ r0(e)
    | p2(e,X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_145]) ).

cnf(c_0_201,plain,
    ( ~ k0(X2)
    | ~ n0(d,X1)
    | p1(X1,X1,X2) ),
    c_0_185 ).

cnf(c_0_202,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_203,plain,
    ( ~ p3(X2,X2,X1)
    | p4(X1,X1,X1) ),
    c_0_186 ).

cnf(c_0_204,plain,
    ( ~ r4(X1)
    | n5(X1,X1) ),
    c_0_187 ).

cnf(c_0_205,plain,
    r4(X1),
    inference(spm,[status(thm)],[c_0_188,c_0_75]) ).

cnf(c_0_206,plain,
    ( ~ q4(X2,X3)
    | q4(X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_190])]) ).

cnf(c_0_207,plain,
    ( ~ q2(b,X2,X1)
    | q4(X1,X2) ),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_208,plain,
    ( ~ k1(X2)
    | ~ l2(X2,X1)
    | q2(X1,c,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_194])]) ).

cnf(c_0_209,plain,
    l2(X1,X1),
    inference(spm,[status(thm)],[c_0_195,c_0_63]) ).

cnf(c_0_210,plain,
    ( ~ n4(X1,X1)
    | ~ p3(X1,X2,X2)
    | n4(X1,X2) ),
    c_0_196 ).

cnf(c_0_211,plain,
    n4(X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_198])]) ).

cnf(c_0_212,plain,
    ( ~ p2(X1,X2,X4)
    | ~ m3(X2,X3,X4)
    | p3(X1,X2,X2) ),
    c_0_199 ).

cnf(c_0_213,plain,
    ( ~ p1(X1,X2,e)
    | ~ r0(e)
    | p2(e,X1,X2) ),
    c_0_200 ).

cnf(c_0_214,axiom,
    r0(e),
    axiom_13 ).

cnf(c_0_215,plain,
    ( ~ k0(X1)
    | p1(c,c,X1) ),
    inference(spm,[status(thm)],[c_0_201,c_0_95]) ).

cnf(c_0_216,axiom,
    k0(e),
    axiom_28 ).

cnf(c_0_217,plain,
    ( ~ n5(X5,X2)
    | ~ p4(X5,X5,X2)
    | ~ n4(X1,X4)
    | ~ q4(X3,X4)
    | n5(X1,X2) ),
    c_0_202 ).

cnf(c_0_218,plain,
    p4(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_203,c_0_154]) ).

cnf(c_0_219,plain,
    n5(X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_205])]) ).

cnf(c_0_220,plain,
    ( ~ q2(b,X2,X3)
    | q4(X1,X1) ),
    inference(spm,[status(thm)],[c_0_206,c_0_207]) ).

cnf(c_0_221,plain,
    ( ~ k1(X1)
    | q2(X1,c,X1) ),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_222,plain,
    ( ~ p3(X1,X2,X2)
    | n4(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_211])]) ).

cnf(c_0_223,plain,
    ( ~ p2(X1,X2,X2)
    | p3(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_134]) ).

cnf(c_0_224,plain,
    ( ~ p1(X1,X2,e)
    | p2(e,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_214])]) ).

cnf(c_0_225,plain,
    p1(c,c,e),
    inference(spm,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_226,plain,
    ( ~ n4(X1,X4)
    | ~ q4(X3,X4)
    | n5(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219])]) ).

cnf(c_0_227,plain,
    q4(X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_136])]) ).

cnf(c_0_228,plain,
    ( ~ p2(X1,X2,X2)
    | n4(X1,X2) ),
    inference(spm,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_229,plain,
    p2(e,c,c),
    inference(spm,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_230,negated_conjecture,
    ~ n5(e,a),
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_231,plain,
    ( ~ n4(X1,X3)
    | n5(X1,X2) ),
    inference(spm,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_232,plain,
    n4(e,c),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_233,negated_conjecture,
    ~ n5(e,a),
    c_0_230 ).

cnf(c_0_234,plain,
    n5(e,X1),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_235,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_234])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN163-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.35  % Computer : n007.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 300
% 0.07/0.35  % DateTime : Mon Sep 21 10:42:50 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.07/0.35  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.32/0.50  % Version: 3.5.1
% 0.32/0.50  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.32/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.50  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.32/0.50  % Starting new_bool_3 with 300s (1) cores
% 0.32/0.50  % Starting new_bool_1 with 300s (1) cores
% 0.32/0.50  % Starting sh5l with 300s (1) cores
% 0.32/0.50  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 882100 completed with status 0
% 0.32/0.50  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.32/0.50  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.32/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.50  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.32/0.50  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.32/0.50  % No SInE strategy applied
% 0.32/0.50  % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.32/0.50  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.32/0.50  % Starting SubtermCWHack with 136s (1) cores
% 0.32/0.50  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.32/0.50  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.32/0.50  % Starting new_bool_3 with 136s (1) cores
% 0.32/0.50  % Starting new_bool_1 with 136s (1) cores
% 0.32/0.50  % SubtermCWHack with pid 882104 completed with status 0
% 0.32/0.50  % Result found by SubtermCWHack
% 0.32/0.50  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.32/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.50  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.32/0.50  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.32/0.50  % No SInE strategy applied
% 0.32/0.50  % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.32/0.50  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.32/0.50  % Starting SubtermCWHack with 136s (1) cores
% 0.32/0.50  % Preprocessing time       : 0.002 s
% 0.32/0.50  
% 0.32/0.50  % Proof found!
% 0.32/0.50  % SZS status Unsatisfiable
% 0.32/0.50  % SZS output start CNFRefutation
% See solution above
% 0.32/0.50  % Parsed axioms                        : 369
% 0.32/0.50  % Removed by relevancy pruning/SinE    : 0
% 0.32/0.50  % Initial clauses                      : 369
% 0.32/0.50  % Removed in clause preprocessing      : 7
% 0.32/0.50  % Initial clauses in saturation        : 362
% 0.32/0.50  % Processed clauses                    : 1652
% 0.32/0.50  % ...of these trivial                  : 160
% 0.32/0.50  % ...subsumed                          : 265
% 0.32/0.50  % ...remaining for further processing  : 1227
% 0.32/0.50  % Other redundant clauses eliminated   : 0
% 0.32/0.50  % Clauses deleted for lack of memory   : 0
% 0.32/0.50  % Backward-subsumed                    : 246
% 0.32/0.50  % Backward-rewritten                   : 363
% 0.32/0.50  % Generated clauses                    : 2339
% 0.32/0.50  % ...of the previous two non-redundant : 1783
% 0.32/0.50  % ...aggressively subsumed             : 0
% 0.32/0.50  % Contextual simplify-reflections      : 0
% 0.32/0.50  % Paramodulations                      : 2339
% 0.32/0.50  % Factorizations                       : 0
% 0.32/0.50  % NegExts                              : 0
% 0.32/0.50  % Equation resolutions                 : 0
% 0.32/0.50  % Disequality decompositions           : 0
% 0.32/0.50  % Total rewrite steps                  : 1666
% 0.32/0.50  % ...of those cached                   : 1124
% 0.32/0.50  % Propositional unsat checks           : 0
% 0.32/0.50  %    Propositional check models        : 0
% 0.32/0.50  %    Propositional check unsatisfiable : 0
% 0.32/0.50  %    Propositional clauses             : 0
% 0.32/0.50  %    Propositional clauses after purity: 0
% 0.32/0.50  %    Propositional unsat core size     : 0
% 0.32/0.50  %    Propositional preprocessing time  : 0.000
% 0.32/0.50  %    Propositional encoding time       : 0.000
% 0.32/0.50  %    Propositional solver time         : 0.000
% 0.32/0.50  %    Success case prop preproc time    : 0.000
% 0.32/0.50  %    Success case prop encoding time   : 0.000
% 0.32/0.50  %    Success case prop solver time     : 0.000
% 0.32/0.50  % Current number of processed clauses  : 618
% 0.32/0.50  %    Positive orientable unit clauses  : 261
% 0.32/0.50  %    Positive unorientable unit clauses: 0
% 0.32/0.50  %    Negative unit clauses             : 0
% 0.32/0.50  %    Non-unit-clauses                  : 357
% 0.32/0.50  % Current number of unprocessed clauses: 182
% 0.32/0.50  % ...number of literals in the above   : 645
% 0.32/0.50  % Current number of archived formulas  : 0
% 0.32/0.50  % Current number of archived clauses   : 609
% 0.32/0.50  % Clause-clause subsumption calls (NU) : 43822
% 0.32/0.50  % Rec. Clause-clause subsumption calls : 36564
% 0.32/0.50  % Non-unit clause-clause subsumptions  : 437
% 0.32/0.50  % Unit Clause-clause subsumption calls : 4859
% 0.32/0.50  % Rewrite failures with RHS unbound    : 0
% 0.32/0.50  % BW rewrite match attempts            : 782
% 0.32/0.50  % BW rewrite match successes           : 318
% 0.32/0.50  % Condensation attempts                : 0
% 0.32/0.50  % Condensation successes               : 0
% 0.32/0.50  % Termbank termtop insertions          : 37567
% 0.32/0.50  % Search garbage collected termcells   : 1461
% 0.32/0.50  
% 0.32/0.50  % -------------------------------------------------
% 0.32/0.50  % User time                : 0.056 s
% 0.32/0.50  % System time              : 0.009 s
% 0.32/0.50  % Total time               : 0.065 s
% 0.32/0.50  % Maximum resident set size: 4472 pages
% 0.32/0.50  
% 0.32/0.50  % -------------------------------------------------
% 0.32/0.50  % User time                : 0.256 s
% 0.32/0.50  % System time              : 0.032 s
% 0.32/0.50  % Total time               : 0.288 s
% 0.32/0.50  % Maximum resident set size: 4864 pages
% 0.32/0.50  % E exiting
%------------------------------------------------------------------------------