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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SYN037-1 : TPTP v9.2.1. Released v1.0.0.
% 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 : n025.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 05:35:52 PM UTC 2026

% Result   : Unsatisfiable 1.28s 1.71s
% Output   : CNFRefutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   44
%            Number of leaves      :   35
% Syntax   : Number of clauses     :  155 (   7 unt;  72 nHn; 126 RR)
%            Number of literals    :  421 (   0 equ; 159 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   9 prp; 0-1 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-1 aty)
%            Number of variables   :   61 (  45 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_17,negated_conjecture,
    ( q(X1)
    | ~ n5(X1)
    | ~ q(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).

cnf(clause_14,negated_conjecture,
    ( n5(s6)
    | ~ n6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).

cnf(clause_4,negated_conjecture,
    ( n2
    | n9
    | n6
    | n10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

cnf(clause_18,negated_conjecture,
    ( q(X2)
    | ~ n5(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).

cnf(clause_22,negated_conjecture,
    ( q(s3)
    | ~ n3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).

cnf(clause_25,negated_conjecture,
    ( n1(X1)
    | ~ p(X1)
    | ~ p(s1(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).

cnf(clause_20,negated_conjecture,
    ( p(X1)
    | ~ n4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).

cnf(clause_11,negated_conjecture,
    ( n7
    | ~ p(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).

cnf(clause_26,negated_conjecture,
    ( p(X1)
    | p(s1(X1))
    | n1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).

cnf(clause_30,negated_conjecture,
    ( n3
    | n4
    | n9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).

cnf(clause_23,negated_conjecture,
    ( n2
    | ~ n1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).

cnf(clause_35,negated_conjecture,
    ( n8
    | ~ n7
    | ~ n10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_35) ).

cnf(clause_33,negated_conjecture,
    ( n10
    | ~ n7
    | ~ n8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).

cnf(clause_9,negated_conjecture,
    ( n8
    | ~ q(s8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).

cnf(clause_28,negated_conjecture,
    ( p(X1)
    | ~ n1(X1)
    | ~ p(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_28) ).

cnf(clause_24,negated_conjecture,
    ( n1(s2)
    | ~ n2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).

cnf(clause_27,negated_conjecture,
    ( p(X2)
    | ~ n1(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).

cnf(clause_12,negated_conjecture,
    ( p(s7)
    | ~ n7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).

cnf(clause_34,negated_conjecture,
    ( n7
    | n8
    | n10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_34) ).

cnf(clause_21,negated_conjecture,
    ( n3
    | ~ q(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).

cnf(clause_16,negated_conjecture,
    ( q(s5(X1))
    | q(X1)
    | n5(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).

cnf(clause_15,negated_conjecture,
    ( n5(X1)
    | ~ q(s5(X1))
    | ~ q(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).

cnf(clause_10,negated_conjecture,
    ( q(X1)
    | ~ n8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).

cnf(clause_13,negated_conjecture,
    ( n6
    | ~ n5(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).

cnf(clause_19,negated_conjecture,
    ( n4
    | ~ p(s4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).

cnf(clause_31,negated_conjecture,
    ( n4
    | ~ n3
    | ~ n9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).

cnf(clause_29,negated_conjecture,
    ( n9
    | ~ n3
    | ~ n4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29) ).

cnf(clause_5,negated_conjecture,
    ( n9
    | n10
    | ~ n2
    | ~ n6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_2,negated_conjecture,
    ( n6
    | n10
    | ~ n2
    | ~ n9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

cnf(clause_7,negated_conjecture,
    ( n2
    | n10
    | ~ n9
    | ~ n6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

cnf(clause_32,negated_conjecture,
    ( n3
    | ~ n4
    | ~ n9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).

cnf(clause_3,negated_conjecture,
    ( n2
    | n9
    | ~ n6
    | ~ n10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

cnf(clause_6,negated_conjecture,
    ( n9
    | n6
    | ~ n2
    | ~ n10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

cnf(clause_36,negated_conjecture,
    ( n7
    | ~ n8
    | ~ n10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_36) ).

cnf(clause_1,negated_conjecture,
    ( ~ n2
    | ~ n9
    | ~ n6
    | ~ n10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

cnf(c_0_35,negated_conjecture,
    ( q(X1)
    | ~ n5(X1)
    | ~ q(X2) ),
    clause_17 ).

cnf(c_0_36,negated_conjecture,
    ( n5(s6)
    | ~ n6 ),
    clause_14 ).

cnf(c_0_37,negated_conjecture,
    ( q(s6)
    | ~ q(X1)
    | ~ n6 ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_38,negated_conjecture,
    ( n2
    | n9
    | n6
    | n10 ),
    clause_4 ).

cnf(c_0_39,negated_conjecture,
    ( q(X2)
    | ~ n5(X1)
    | ~ q(X1) ),
    clause_18 ).

cnf(c_0_40,negated_conjecture,
    ( q(s6)
    | n10
    | n9
    | n2
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    ( q(s3)
    | ~ n3 ),
    clause_22 ).

cnf(c_0_42,negated_conjecture,
    ( n1(X1)
    | ~ p(X1)
    | ~ p(s1(X1)) ),
    clause_25 ).

cnf(c_0_43,negated_conjecture,
    ( p(X1)
    | ~ n4 ),
    clause_20 ).

cnf(c_0_44,negated_conjecture,
    ( n7
    | ~ p(X1) ),
    clause_11 ).

cnf(c_0_45,negated_conjecture,
    ( p(X1)
    | p(s1(X1))
    | n1(X1) ),
    clause_26 ).

cnf(c_0_46,negated_conjecture,
    ( q(X1)
    | ~ q(s6)
    | ~ n6 ),
    inference(spm,[status(thm)],[c_0_39,c_0_36]) ).

cnf(c_0_47,negated_conjecture,
    ( q(s6)
    | n10
    | n9
    | n2
    | ~ n3 ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_48,negated_conjecture,
    ( n3
    | n4
    | n9 ),
    clause_30 ).

cnf(c_0_49,negated_conjecture,
    ( n2
    | ~ n1(X1) ),
    clause_23 ).

cnf(c_0_50,negated_conjecture,
    ( n1(X1)
    | ~ n4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_43]) ).

cnf(c_0_51,negated_conjecture,
    ( n1(X1)
    | n7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_44]) ).

cnf(c_0_52,negated_conjecture,
    ( q(X1)
    | n10
    | n9
    | n2
    | ~ q(s6) ),
    inference(spm,[status(thm)],[c_0_46,c_0_38]) ).

cnf(c_0_53,negated_conjecture,
    ( n4
    | q(s6)
    | n10
    | n9
    | n2 ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_54,negated_conjecture,
    ( n2
    | ~ n4 ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_55,negated_conjecture,
    ( n8
    | ~ n7
    | ~ n10 ),
    clause_35 ).

cnf(c_0_56,negated_conjecture,
    ( n7
    | n2 ),
    inference(spm,[status(thm)],[c_0_49,c_0_51]) ).

cnf(c_0_57,negated_conjecture,
    ( n10
    | ~ n7
    | ~ n8 ),
    clause_33 ).

cnf(c_0_58,negated_conjecture,
    ( n8
    | ~ q(s8) ),
    clause_9 ).

cnf(c_0_59,negated_conjecture,
    ( q(X1)
    | n10
    | n9
    | n2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).

cnf(c_0_60,negated_conjecture,
    ( n8
    | n2
    | ~ n10 ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_61,negated_conjecture,
    ( p(X1)
    | ~ n1(X1)
    | ~ p(X2) ),
    clause_28 ).

cnf(c_0_62,negated_conjecture,
    ( n1(s2)
    | ~ n2 ),
    clause_24 ).

cnf(c_0_63,negated_conjecture,
    ( n10
    | n2
    | ~ n8 ),
    inference(spm,[status(thm)],[c_0_57,c_0_56]) ).

cnf(c_0_64,negated_conjecture,
    ( n8
    | n9
    | n2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).

cnf(c_0_65,negated_conjecture,
    ( p(s2)
    | ~ p(X1)
    | ~ n2 ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_66,negated_conjecture,
    ( n10
    | n9
    | n2 ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_67,negated_conjecture,
    ( p(X2)
    | ~ n1(X1)
    | ~ p(X1) ),
    clause_27 ).

cnf(c_0_68,negated_conjecture,
    ( p(s2)
    | n10
    | n9
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_69,negated_conjecture,
    ( p(s7)
    | ~ n7 ),
    clause_12 ).

cnf(c_0_70,negated_conjecture,
    ( p(X1)
    | ~ p(s2)
    | ~ n2 ),
    inference(spm,[status(thm)],[c_0_67,c_0_62]) ).

cnf(c_0_71,negated_conjecture,
    ( p(s2)
    | n10
    | n9
    | ~ n7 ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_72,negated_conjecture,
    ( n7
    | n8
    | n10 ),
    clause_34 ).

cnf(c_0_73,negated_conjecture,
    ( n3
    | ~ q(X1) ),
    clause_21 ).

cnf(c_0_74,negated_conjecture,
    ( q(s5(X1))
    | q(X1)
    | n5(X1) ),
    clause_16 ).

cnf(c_0_75,negated_conjecture,
    ( n5(X1)
    | ~ q(s5(X1))
    | ~ q(X1) ),
    clause_15 ).

cnf(c_0_76,negated_conjecture,
    ( q(X1)
    | ~ n8 ),
    clause_10 ).

cnf(c_0_77,negated_conjecture,
    ( p(X1)
    | n10
    | n9
    | ~ p(s2) ),
    inference(spm,[status(thm)],[c_0_70,c_0_66]) ).

cnf(c_0_78,negated_conjecture,
    ( p(s2)
    | n8
    | n10
    | n9 ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_79,negated_conjecture,
    ( n6
    | ~ n5(X1) ),
    clause_13 ).

cnf(c_0_80,negated_conjecture,
    ( n3
    | n5(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_73]) ).

cnf(c_0_81,negated_conjecture,
    ( n5(X1)
    | ~ n8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_76]) ).

cnf(c_0_82,negated_conjecture,
    ( n4
    | ~ p(s4) ),
    clause_19 ).

cnf(c_0_83,negated_conjecture,
    ( p(X1)
    | n8
    | n10
    | n9 ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_84,negated_conjecture,
    ( n4
    | ~ n3
    | ~ n9 ),
    clause_31 ).

cnf(c_0_85,negated_conjecture,
    ( n3
    | n6 ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_86,negated_conjecture,
    ( n9
    | ~ n3
    | ~ n4 ),
    clause_29 ).

cnf(c_0_87,negated_conjecture,
    ( n6
    | ~ n8 ),
    inference(spm,[status(thm)],[c_0_79,c_0_81]) ).

cnf(c_0_88,negated_conjecture,
    ( n4
    | n8
    | n10
    | n9 ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_89,negated_conjecture,
    ( n4
    | n6
    | ~ n9 ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_90,negated_conjecture,
    ( n6
    | n9
    | ~ n4 ),
    inference(spm,[status(thm)],[c_0_86,c_0_85]) ).

cnf(c_0_91,negated_conjecture,
    ( n4
    | n10
    | n6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).

cnf(c_0_92,negated_conjecture,
    ( n9
    | n10
    | ~ n2
    | ~ n6 ),
    clause_5 ).

cnf(c_0_93,negated_conjecture,
    ( n10
    | n6
    | n9 ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_94,negated_conjecture,
    ( n6
    | n10
    | ~ n2
    | ~ n9 ),
    clause_2 ).

cnf(c_0_95,negated_conjecture,
    ( n10
    | n9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_66]) ).

cnf(c_0_96,negated_conjecture,
    ( n10
    | n6
    | ~ n2 ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_97,negated_conjecture,
    ( n2
    | n10
    | ~ n9
    | ~ n6 ),
    clause_7 ).

cnf(c_0_98,negated_conjecture,
    ( n10
    | n6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_91]),c_0_96]) ).

cnf(c_0_99,negated_conjecture,
    ( n10
    | n2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_95]) ).

cnf(c_0_100,negated_conjecture,
    ( p(s2)
    | n10
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_99]) ).

cnf(c_0_101,negated_conjecture,
    ( p(s2)
    | n10
    | ~ n7 ),
    inference(spm,[status(thm)],[c_0_100,c_0_69]) ).

cnf(c_0_102,negated_conjecture,
    ( p(X1)
    | n10
    | ~ p(s2) ),
    inference(spm,[status(thm)],[c_0_70,c_0_99]) ).

cnf(c_0_103,negated_conjecture,
    ( p(s2)
    | n8
    | n10 ),
    inference(spm,[status(thm)],[c_0_101,c_0_72]) ).

cnf(c_0_104,negated_conjecture,
    ( p(X1)
    | n8
    | n10 ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_105,negated_conjecture,
    ( q(s6)
    | n10
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_98]) ).

cnf(c_0_106,negated_conjecture,
    ( n3
    | ~ n8 ),
    inference(spm,[status(thm)],[c_0_73,c_0_76]) ).

cnf(c_0_107,negated_conjecture,
    ( n4
    | n8
    | n10 ),
    inference(spm,[status(thm)],[c_0_82,c_0_104]) ).

cnf(c_0_108,negated_conjecture,
    ( q(s6)
    | n10
    | ~ n3 ),
    inference(spm,[status(thm)],[c_0_105,c_0_41]) ).

cnf(c_0_109,negated_conjecture,
    ( n3
    | ~ n4
    | ~ n9 ),
    clause_32 ).

cnf(c_0_110,negated_conjecture,
    ( n3
    | n4
    | n10 ),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_111,negated_conjecture,
    ( q(s6)
    | n10
    | ~ n4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_95]) ).

cnf(c_0_112,negated_conjecture,
    ( n4
    | n10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_110]),c_0_95]) ).

cnf(c_0_113,negated_conjecture,
    ( q(X1)
    | n10
    | ~ q(s6) ),
    inference(spm,[status(thm)],[c_0_46,c_0_98]) ).

cnf(c_0_114,negated_conjecture,
    ( q(s6)
    | n10 ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_115,negated_conjecture,
    ( n7
    | ~ n4 ),
    inference(spm,[status(thm)],[c_0_44,c_0_43]) ).

cnf(c_0_116,negated_conjecture,
    ( q(X1)
    | n10 ),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_117,negated_conjecture,
    ( n10
    | ~ n4
    | ~ n8 ),
    inference(spm,[status(thm)],[c_0_57,c_0_115]) ).

cnf(c_0_118,negated_conjecture,
    ( n8
    | n10 ),
    inference(spm,[status(thm)],[c_0_58,c_0_116]) ).

cnf(c_0_119,negated_conjecture,
    n10,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_112]) ).

cnf(c_0_120,negated_conjecture,
    ( n8
    | n2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_119])]) ).

cnf(c_0_121,negated_conjecture,
    ( n2
    | n9
    | ~ n6
    | ~ n10 ),
    clause_3 ).

cnf(c_0_122,negated_conjecture,
    ( n6
    | n2 ),
    inference(spm,[status(thm)],[c_0_87,c_0_120]) ).

cnf(c_0_123,negated_conjecture,
    ( n3
    | n2 ),
    inference(spm,[status(thm)],[c_0_106,c_0_120]) ).

cnf(c_0_124,negated_conjecture,
    ( n9
    | n2 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_119])]),c_0_122]) ).

cnf(c_0_125,negated_conjecture,
    ( n9
    | n6
    | ~ n2
    | ~ n10 ),
    clause_6 ).

cnf(c_0_126,negated_conjecture,
    ( n8
    | ~ n4
    | ~ n10 ),
    inference(spm,[status(thm)],[c_0_55,c_0_115]) ).

cnf(c_0_127,negated_conjecture,
    n2,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_123]),c_0_124]),c_0_54]) ).

cnf(c_0_128,negated_conjecture,
    ( n6
    | n9 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_119])]),c_0_122]) ).

cnf(c_0_129,negated_conjecture,
    ( n3
    | ~ n4
    | ~ n10 ),
    inference(spm,[status(thm)],[c_0_106,c_0_126]) ).

cnf(c_0_130,negated_conjecture,
    ( p(s2)
    | ~ p(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_127])]) ).

cnf(c_0_131,negated_conjecture,
    ( q(s6)
    | n9
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_128]) ).

cnf(c_0_132,negated_conjecture,
    ( n9
    | ~ n4
    | ~ n10 ),
    inference(spm,[status(thm)],[c_0_86,c_0_129]) ).

cnf(c_0_133,negated_conjecture,
    ( p(X1)
    | ~ p(s2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_127])]) ).

cnf(c_0_134,negated_conjecture,
    ( p(s2)
    | ~ n7 ),
    inference(spm,[status(thm)],[c_0_130,c_0_69]) ).

cnf(c_0_135,negated_conjecture,
    ( q(s6)
    | n9
    | ~ n3 ),
    inference(spm,[status(thm)],[c_0_131,c_0_41]) ).

cnf(c_0_136,negated_conjecture,
    ( n9
    | ~ n4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_119])]) ).

cnf(c_0_137,negated_conjecture,
    ( p(X1)
    | ~ n7 ),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_138,negated_conjecture,
    ( n7
    | ~ n8
    | ~ n10 ),
    clause_36 ).

cnf(c_0_139,negated_conjecture,
    ( q(s6)
    | n9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_48]),c_0_136]) ).

cnf(c_0_140,negated_conjecture,
    ( ~ n2
    | ~ n9
    | ~ n6
    | ~ n10 ),
    clause_1 ).

cnf(c_0_141,negated_conjecture,
    ( n4
    | ~ n7 ),
    inference(spm,[status(thm)],[c_0_82,c_0_137]) ).

cnf(c_0_142,negated_conjecture,
    ( n7
    | ~ n8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_119])]) ).

cnf(c_0_143,negated_conjecture,
    ( q(X1)
    | n9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_128]),c_0_139]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ n6
    | ~ n9
    | ~ n2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_119])]) ).

cnf(c_0_145,negated_conjecture,
    ( n4
    | ~ n8 ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_146,negated_conjecture,
    ( n8
    | n9 ),
    inference(spm,[status(thm)],[c_0_58,c_0_143]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ n6
    | ~ n9 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_127])]) ).

cnf(c_0_148,negated_conjecture,
    n9,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_136]) ).

cnf(c_0_149,negated_conjecture,
    ~ n6,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148])]) ).

cnf(c_0_150,negated_conjecture,
    ( n6
    | ~ n4
    | ~ n10 ),
    inference(spm,[status(thm)],[c_0_87,c_0_126]) ).

cnf(c_0_151,negated_conjecture,
    n3,
    inference(sr,[status(thm)],[c_0_85,c_0_149]) ).

cnf(c_0_152,negated_conjecture,
    ( n6
    | ~ n4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_119])]) ).

cnf(c_0_153,negated_conjecture,
    n4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_148])]),c_0_151])]) ).

cnf(c_0_154,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_153])]),c_0_149]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN037-1 : TPTP v9.2.1. Released v1.0.0.
% 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
% 0.14/0.32  % Computer : n025.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit   : 300
% 0.14/0.32  % WCLimit    : 300
% 0.14/0.32  % DateTime   : Tue May  5 08:05:43 EDT 2026
% 0.14/0.32  % CPUTime    : 
% 0.14/0.33  % start to proof: theBenchmark
% 1.28/1.71  % Version  : CSE_E---1.7
% 1.28/1.71  % Problem  : theBenchmark.p
% 1.28/1.71  % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.71  % SZS output start CNFRefutation
% See solution above
% 1.28/1.71  % Total time : 1.371s
%------------------------------------------------------------------------------