%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN310-1 : TPTP v9.2.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.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 05:36:44 PM UTC 2026
% Result : Unsatisfiable 0.26s 1.57s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of clauses : 175 ( 86 unt; 0 nHn; 175 RR)
% Number of literals : 264 ( 0 equ; 91 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 267 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause4,negated_conjecture,
( p(X1,X2,X3)
| ~ p(f(X1),X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
cnf(clause3,negated_conjecture,
( p(X1,X2,X3)
| ~ p(X1,X2,g(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
cnf(clause2,negated_conjecture,
( p(X2,X1,X3)
| ~ p(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
cnf(clause1,negated_conjecture,
( p(X3,X2,X1)
| ~ p(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause6,negated_conjecture,
p(f(g(a)),f(g(b)),f(g(c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
cnf(clause5,negated_conjecture,
~ p(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
cnf(i_0_6,negated_conjecture,
( p(X1,X2,X3)
| ~ p(f(X1),X2,X3) ),
clause4,
[final] ).
cnf(i_0_7,negated_conjecture,
( p(X1,X2,X3)
| ~ p(X1,X2,g(X3)) ),
clause3,
[final] ).
cnf(i_0_8,negated_conjecture,
( p(X2,X1,X3)
| ~ p(X1,X2,X3) ),
clause2,
[final] ).
cnf(i_0_9,negated_conjecture,
( p(X3,X2,X1)
| ~ p(X1,X2,X3) ),
clause1,
[final] ).
cnf(i_0_10,negated_conjecture,
p(f(g(a)),f(g(b)),f(g(c))),
clause6,
[final] ).
cnf(i_0_11,negated_conjecture,
~ p(a,b,c),
clause5,
[final] ).
cnf(i_0_12,plain,
p(g(a),f(g(b)),f(g(c))),
inference(scs_inference,[],[i_0_10,i_0_6]) ).
cnf(i_0_13,plain,
( ~ p(f(X1),X2,X3)
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_14,plain,
p(f(g(b)),f(g(a)),f(g(c))),
inference(scs_inference,[],[i_0_10,i_0_6,i_0_8]) ).
cnf(i_0_15,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_16,plain,
p(f(g(c)),f(g(b)),f(g(a))),
inference(scs_inference,[],[i_0_10,i_0_6,i_0_8,i_0_9]) ).
cnf(i_0_17,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_18,plain,
p(g(b),f(g(a)),f(g(c))),
inference(scs_inference,[],[i_0_14,i_0_6]) ).
cnf(i_0_19,plain,
( ~ p(f(X1),X2,X3)
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_20,plain,
p(f(g(b)),g(a),f(g(c))),
inference(scs_inference,[],[i_0_14,i_0_12,i_0_6,i_0_8]) ).
cnf(i_0_21,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_22,plain,
p(f(g(c)),f(g(a)),f(g(b))),
inference(scs_inference,[],[i_0_14,i_0_12,i_0_6,i_0_8,i_0_9]) ).
cnf(i_0_23,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_24,plain,
p(g(b),g(a),f(g(c))),
inference(scs_inference,[],[i_0_20,i_0_6]) ).
cnf(i_0_25,plain,
( ~ p(f(X1),X2,X3)
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_26,plain,
p(f(g(c)),f(g(a)),g(b)),
inference(scs_inference,[],[i_0_18,i_0_20,i_0_6,i_0_9]) ).
cnf(i_0_27,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_28,plain,
p(f(g(a)),g(b),f(g(c))),
inference(scs_inference,[],[i_0_18,i_0_20,i_0_6,i_0_9,i_0_8]) ).
cnf(i_0_29,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_30,plain,
p(f(g(c)),f(g(a)),b),
inference(scs_inference,[],[i_0_18,i_0_20,i_0_6,i_0_9,i_0_8,i_0_7]) ).
cnf(i_0_31,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_32,plain,
p(g(c),f(g(a)),g(b)),
inference(scs_inference,[],[i_0_26,i_0_6]) ).
cnf(i_0_33,plain,
( ~ p(f(X1),X2,X3)
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_34,plain,
p(f(g(c)),g(a),g(b)),
inference(scs_inference,[],[i_0_26,i_0_24,i_0_6,i_0_9]) ).
cnf(i_0_35,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_36,plain,
p(f(g(a)),f(g(c)),g(b)),
inference(scs_inference,[],[i_0_26,i_0_24,i_0_6,i_0_9,i_0_8]) ).
cnf(i_0_37,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_38,plain,
p(g(c),f(g(a)),b),
inference(scs_inference,[],[i_0_26,i_0_24,i_0_6,i_0_9,i_0_8,i_0_7]) ).
cnf(i_0_39,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_40,plain,
p(f(g(a)),f(g(c)),b),
inference(scs_inference,[],[i_0_36,i_0_7]) ).
cnf(i_0_41,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_42,plain,
p(g(a),f(g(c)),g(b)),
inference(scs_inference,[],[i_0_36,i_0_7,i_0_6]) ).
cnf(i_0_43,plain,
( ~ p(f(X1),X2,X3)
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_44,plain,
p(f(g(a)),g(c),g(b)),
inference(scs_inference,[],[i_0_36,i_0_32,i_0_7,i_0_6,i_0_8]) ).
cnf(i_0_45,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_46,plain,
p(g(b),f(g(c)),f(g(a))),
inference(scs_inference,[],[i_0_36,i_0_32,i_0_7,i_0_6,i_0_8,i_0_9]) ).
cnf(i_0_47,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_48,plain,
p(f(g(c)),g(a),b),
inference(scs_inference,[],[i_0_34,i_0_7]) ).
cnf(i_0_49,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_50,plain,
p(g(c),g(a),g(b)),
inference(scs_inference,[],[i_0_34,i_0_7,i_0_6]) ).
cnf(i_0_51,plain,
( ~ p(f(X1),X2,X3)
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_52,plain,
p(g(b),f(g(c)),g(a)),
inference(scs_inference,[],[i_0_34,i_0_42,i_0_7,i_0_6,i_0_9]) ).
cnf(i_0_53,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_54,plain,
p(g(a),g(b),f(g(c))),
inference(scs_inference,[],[i_0_34,i_0_42,i_0_24,i_0_7,i_0_6,i_0_9,i_0_8]) ).
cnf(i_0_55,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_56,plain,
p(f(g(a)),g(c),b),
inference(scs_inference,[],[i_0_44,i_0_7]) ).
cnf(i_0_57,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_58,plain,
p(g(a),g(c),g(b)),
inference(scs_inference,[],[i_0_44,i_0_7,i_0_6]) ).
cnf(i_0_59,plain,
( ~ p(f(X1),X2,X3)
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_60,plain,
p(g(b),g(c),f(g(a))),
inference(scs_inference,[],[i_0_44,i_0_7,i_0_6,i_0_9]) ).
cnf(i_0_61,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_62,plain,
p(f(g(c)),g(b),g(a)),
inference(scs_inference,[],[i_0_44,i_0_52,i_0_7,i_0_6,i_0_9,i_0_8]) ).
cnf(i_0_63,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_64,plain,
p(g(c),g(a),b),
inference(scs_inference,[],[i_0_50,i_0_7]) ).
cnf(i_0_65,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_66,plain,
p(g(a),f(g(c)),b),
inference(scs_inference,[],[i_0_50,i_0_40,i_0_7,i_0_6]) ).
cnf(i_0_67,plain,
( ~ p(f(X1),X2,X3)
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_68,plain,
p(g(b),g(a),g(c)),
inference(scs_inference,[],[i_0_50,i_0_40,i_0_7,i_0_6,i_0_9]) ).
cnf(i_0_69,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_70,plain,
p(g(c),g(b),f(g(a))),
inference(scs_inference,[],[i_0_60,i_0_50,i_0_40,i_0_7,i_0_6,i_0_9,i_0_8]) ).
cnf(i_0_71,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_72,plain,
p(g(a),g(c),b),
inference(scs_inference,[],[i_0_58,i_0_7]) ).
cnf(i_0_73,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_74,plain,
p(g(c),f(g(b)),f(g(a))),
inference(scs_inference,[],[i_0_58,i_0_16,i_0_7,i_0_6]) ).
cnf(i_0_75,plain,
( ~ p(f(X1),X2,X3)
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_76,plain,
p(g(b),g(c),g(a)),
inference(scs_inference,[],[i_0_58,i_0_16,i_0_7,i_0_6,i_0_9]) ).
cnf(i_0_77,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_78,plain,
p(g(a),g(b),g(c)),
inference(scs_inference,[],[i_0_58,i_0_68,i_0_16,i_0_7,i_0_6,i_0_9,i_0_8]) ).
cnf(i_0_79,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_80,plain,
p(g(b),g(c),a),
inference(scs_inference,[],[i_0_76,i_0_7]) ).
cnf(i_0_81,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_82,plain,
p(b,f(g(c)),g(a)),
inference(scs_inference,[],[i_0_66,i_0_76,i_0_7,i_0_9]) ).
cnf(i_0_83,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_84,plain,
p(g(c),f(g(a)),f(g(b))),
inference(scs_inference,[],[i_0_66,i_0_76,i_0_22,i_0_7,i_0_9,i_0_6]) ).
cnf(i_0_85,plain,
( ~ p(f(X1),X2,X3)
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_86,plain,
p(f(g(b)),g(c),f(g(a))),
inference(scs_inference,[],[i_0_66,i_0_74,i_0_76,i_0_22,i_0_7,i_0_9,i_0_6,i_0_8]) ).
cnf(i_0_87,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_88,plain,
p(b,f(g(c)),a),
inference(scs_inference,[],[i_0_82,i_0_7]) ).
cnf(i_0_89,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_90,plain,
p(b,g(a),g(c)),
inference(scs_inference,[],[i_0_64,i_0_82,i_0_7,i_0_9]) ).
cnf(i_0_91,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_92,plain,
p(f(g(a)),g(c),f(g(b))),
inference(scs_inference,[],[i_0_64,i_0_84,i_0_82,i_0_7,i_0_9,i_0_8]) ).
cnf(i_0_93,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_94,plain,
p(g(c),g(b),g(a)),
inference(scs_inference,[],[i_0_64,i_0_84,i_0_82,i_0_62,i_0_7,i_0_9,i_0_8,i_0_6]) ).
cnf(i_0_95,plain,
( ~ p(f(X1),X2,X3)
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_96,plain,
p(g(c),g(b),a),
inference(scs_inference,[],[i_0_94,i_0_7]) ).
cnf(i_0_97,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_98,plain,
p(b,g(c),g(a)),
inference(scs_inference,[],[i_0_94,i_0_72,i_0_7,i_0_9]) ).
cnf(i_0_99,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_100,plain,
p(g(a),b,g(c)),
inference(scs_inference,[],[i_0_94,i_0_72,i_0_90,i_0_7,i_0_9,i_0_8]) ).
cnf(i_0_101,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_102,plain,
p(g(a),g(c),f(g(b))),
inference(scs_inference,[],[i_0_94,i_0_72,i_0_92,i_0_90,i_0_7,i_0_9,i_0_8,i_0_6]) ).
cnf(i_0_103,plain,
( ~ p(f(X1),X2,X3)
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_104,plain,
p(b,g(c),a),
inference(scs_inference,[],[i_0_98,i_0_7]) ).
cnf(i_0_105,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_106,plain,
p(f(g(b)),g(c),g(a)),
inference(scs_inference,[],[i_0_102,i_0_98,i_0_7,i_0_9]) ).
cnf(i_0_107,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_108,plain,
p(g(c),g(a),f(g(b))),
inference(scs_inference,[],[i_0_102,i_0_98,i_0_7,i_0_9,i_0_8]) ).
cnf(i_0_109,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_110,plain,
p(f(g(b)),g(c),a),
inference(scs_inference,[],[i_0_106,i_0_7]) ).
cnf(i_0_111,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_112,plain,
p(a,g(b),g(c)),
inference(scs_inference,[],[i_0_96,i_0_106,i_0_7,i_0_9]) ).
cnf(i_0_113,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_114,plain,
p(g(c),f(g(b)),g(a)),
inference(scs_inference,[],[i_0_96,i_0_106,i_0_7,i_0_9,i_0_8]) ).
cnf(i_0_115,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_116,plain,
p(a,g(b),c),
inference(scs_inference,[],[i_0_112,i_0_7]) ).
cnf(i_0_117,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_118,plain,
p(a,g(c),g(b)),
inference(scs_inference,[],[i_0_80,i_0_112,i_0_7,i_0_9]) ).
cnf(i_0_119,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_120,plain,
p(g(c),f(g(b)),a),
inference(scs_inference,[],[i_0_80,i_0_110,i_0_112,i_0_7,i_0_9,i_0_8]) ).
cnf(i_0_121,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_122,plain,
p(a,g(c),b),
inference(scs_inference,[],[i_0_118,i_0_7]) ).
cnf(i_0_123,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_124,plain,
p(b,g(a),f(g(c))),
inference(scs_inference,[],[i_0_48,i_0_118,i_0_7,i_0_9]) ).
cnf(i_0_125,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_126,plain,
p(g(c),a,g(b)),
inference(scs_inference,[],[i_0_48,i_0_118,i_0_7,i_0_9,i_0_8]) ).
cnf(i_0_127,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_128,plain,
p(g(b),f(g(c)),a),
inference(scs_inference,[],[i_0_52,i_0_7]) ).
cnf(i_0_129,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_130,plain,
p(b,g(c),f(g(a))),
inference(scs_inference,[],[i_0_56,i_0_52,i_0_7,i_0_9]) ).
cnf(i_0_131,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_132,plain,
p(g(a),b,f(g(c))),
inference(scs_inference,[],[i_0_56,i_0_124,i_0_52,i_0_7,i_0_9,i_0_8]) ).
cnf(i_0_133,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_134,plain,
p(g(b),g(a),c),
inference(scs_inference,[],[i_0_68,i_0_7]) ).
cnf(i_0_135,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_136,plain,
p(a,f(g(c)),g(b)),
inference(scs_inference,[],[i_0_128,i_0_68,i_0_7,i_0_9]) ).
cnf(i_0_137,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_138,plain,
p(f(g(c)),g(b),a),
inference(scs_inference,[],[i_0_128,i_0_68,i_0_7,i_0_9,i_0_8]) ).
cnf(i_0_139,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_140,plain,
p(a,f(g(c)),b),
inference(scs_inference,[],[i_0_136,i_0_7]) ).
cnf(i_0_141,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_142,plain,
p(a,g(b),f(g(c))),
inference(scs_inference,[],[i_0_138,i_0_136,i_0_7,i_0_9]) ).
cnf(i_0_143,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_144,plain,
p(f(g(c)),a,g(b)),
inference(scs_inference,[],[i_0_138,i_0_136,i_0_7,i_0_9,i_0_8]) ).
cnf(i_0_145,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_146,plain,
p(f(g(c)),a,b),
inference(scs_inference,[],[i_0_144,i_0_7]) ).
cnf(i_0_147,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_148,plain,
p(g(b),a,f(g(c))),
inference(scs_inference,[],[i_0_144,i_0_7,i_0_9]) ).
cnf(i_0_149,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_150,plain,
p(g(c),b,f(g(a))),
inference(scs_inference,[],[i_0_144,i_0_130,i_0_7,i_0_9,i_0_8]) ).
cnf(i_0_151,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_152,plain,
p(g(c),a,b),
inference(scs_inference,[],[i_0_144,i_0_130,i_0_7,i_0_9,i_0_8,i_0_6]) ).
cnf(i_0_153,plain,
( ~ p(f(X1),X2,X3)
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_154,plain,
p(b,g(a),c),
inference(scs_inference,[],[i_0_90,i_0_7]) ).
cnf(i_0_155,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_156,plain,
p(b,a,g(c)),
inference(scs_inference,[],[i_0_152,i_0_90,i_0_7,i_0_9]) ).
cnf(i_0_157,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_158,plain,
p(g(a),g(b),c),
inference(scs_inference,[],[i_0_152,i_0_134,i_0_90,i_0_7,i_0_9,i_0_8]) ).
cnf(i_0_159,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_160,plain,
p(b,a,c),
inference(scs_inference,[],[i_0_156,i_0_7]) ).
cnf(i_0_161,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_162,plain,
p(b,a,f(g(c))),
inference(scs_inference,[],[i_0_146,i_0_156,i_0_7,i_0_9]) ).
cnf(i_0_163,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_164,plain,
p(f(g(c)),b,a),
inference(scs_inference,[],[i_0_88,i_0_146,i_0_156,i_0_7,i_0_9,i_0_8]) ).
cnf(i_0_165,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_166,plain,
p(g(c),b,a),
inference(scs_inference,[],[i_0_88,i_0_146,i_0_156,i_0_7,i_0_9,i_0_8,i_0_6]) ).
cnf(i_0_167,plain,
( ~ p(f(X1),X2,X3)
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_168,plain,
p(g(a),b,c),
inference(scs_inference,[],[i_0_100,i_0_7]) ).
cnf(i_0_169,plain,
( ~ p(X1,X2,g(X3))
| p(X1,X2,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_170,plain,
p(a,b,g(c)),
inference(scs_inference,[],[i_0_166,i_0_100,i_0_7,i_0_9]) ).
cnf(i_0_171,plain,
( ~ p(X1,X2,X3)
| p(X3,X2,X1) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_172,plain,
p(a,b,f(g(c))),
inference(scs_inference,[],[i_0_166,i_0_162,i_0_100,i_0_7,i_0_9,i_0_8]) ).
cnf(i_0_173,plain,
( ~ p(X1,X2,X3)
| p(X2,X1,X3) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_174,plain,
$false,
inference(scs_inference,[],[i_0_170,i_0_11,i_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN310-1 : TPTP v9.2.1. Released v1.2.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.11/0.29 % Computer : n016.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue May 5 08:27:51 EDT 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.30 % start to proof: theBenchmark
% 0.26/1.57 % Version : CSE_E---1.7
% 0.26/1.57 % Problem : theBenchmark.p
% 0.26/1.57 % SZS status Unsatisfiable for theBenchmark.p
% 0.26/1.57 % SZS output start CNFRefutation
% See solution above
% 0.50/1.80 % Total time : 1.268s
%------------------------------------------------------------------------------