%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN012-1 : TPTP v9.2.1. Released v1.1.0.
% 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 : n004.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 05:35:19 PM UTC 2026
% Result : Unsatisfiable 0.90s 1.63s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 124 ( 6 unt; 62 nHn; 88 RR)
% Number of literals : 312 ( 0 equ; 124 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 246 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_3,negated_conjecture,
( big_g(g(X1,X2),g(X1,X2))
| ~ big_f(X1,X2)
| ~ big_f(g(X1,X2),g(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_7,negated_conjecture,
( ~ big_g(X1,X2)
| ~ big_g(g(X1,X2),g(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_1,negated_conjecture,
( big_g(X2,g(X1,X2))
| ~ big_f(X1,X2)
| ~ big_f(X1,g(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_2,negated_conjecture,
( big_f(X1,g(X1,X2))
| ~ big_f(X1,X2)
| ~ big_g(X2,g(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_5,negated_conjecture,
( big_f(X1,X2)
| ~ big_g(g(X1,X2),g(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_6,negated_conjecture,
( big_g(X1,X2)
| big_g(g(X1,X2),g(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_4,negated_conjecture,
( big_f(X1,X2)
| big_f(g(X1,X2),g(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(i_0_7,negated_conjecture,
( big_g(g(X1,X2),g(X1,X2))
| ~ big_f(X1,X2)
| ~ big_f(g(X1,X2),g(X1,X2)) ),
clause_3,
[final] ).
cnf(i_0_8,negated_conjecture,
( ~ big_g(X1,X2)
| ~ big_g(g(X1,X2),g(X1,X2)) ),
clause_7,
[final] ).
cnf(i_0_9,negated_conjecture,
( big_g(X2,g(X1,X2))
| ~ big_f(X1,X2)
| ~ big_f(X1,g(X1,X2)) ),
clause_1,
[final] ).
cnf(i_0_10,negated_conjecture,
( big_f(X1,g(X1,X2))
| ~ big_f(X1,X2)
| ~ big_g(X2,g(X1,X2)) ),
clause_2,
[final] ).
cnf(i_0_11,negated_conjecture,
( big_f(X1,X2)
| ~ big_g(g(X1,X2),g(X1,X2)) ),
clause_5,
[final] ).
cnf(i_0_12,negated_conjecture,
( big_g(X1,X2)
| big_g(g(X1,X2),g(X1,X2)) ),
clause_6,
[final] ).
cnf(i_0_13,negated_conjecture,
( big_f(X1,X2)
| big_f(g(X1,X2),g(X1,X2)) ),
clause_4,
[final] ).
cnf(i_0_14,plain,
( ~ big_g(g(X1,X2),g(X1,X2))
| big_g(g(X1,X2),g(X1,X2)) ),
inference(scs_inference,[],[i_0_8,i_0_12]) ).
cnf(i_0_15,plain,
( ~ big_f(X1,X2)
| ~ big_g(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2)))
| big_g(g(X1,X2),g(X1,X2)) ),
inference(scs_inference,[],[i_0_11,i_0_7]) ).
cnf(i_0_16,plain,
( big_f(g(X1,X2),g(X1,X2))
| big_g(X2,g(X1,X2))
| ~ big_f(X1,g(X1,X2)) ),
inference(scs_inference,[],[i_0_13,i_0_9]) ).
cnf(i_0_17,plain,
( ~ big_g(g(X1,X2),g(X1,X2))
| big_f(X1,g(X1,X2))
| ~ big_g(X2,g(X1,X2)) ),
inference(scs_inference,[],[i_0_10,i_0_11]) ).
cnf(i_0_18,plain,
( big_f(X1,g(X1,X2))
| ~ big_g(X2,g(X1,X2))
| big_g(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2))) ),
inference(scs_inference,[],[i_0_17,i_0_12]) ).
cnf(i_0_19,plain,
( ~ big_g(X1,X2)
| big_g(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2))) ),
inference(scs_inference,[],[i_0_8,i_0_12]) ).
cnf(i_0_20,plain,
( big_g(X1,X2)
| ~ big_g(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2))) ),
inference(scs_inference,[],[i_0_8,i_0_12]) ).
cnf(i_0_21,plain,
( ~ big_g(X1,X2)
| big_g(X1,X2) ),
inference(scs_inference,[],[i_0_8,i_0_12]) ).
cnf(i_0_22,plain,
( ~ big_f(X1,X2)
| ~ big_g(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2)))
| ~ big_f(g(X1,X2),g(X1,X2)) ),
inference(scs_inference,[],[i_0_8,i_0_7]) ).
cnf(i_0_23,plain,
( ~ big_f(X1,X2)
| ~ big_g(X1,X2)
| ~ big_f(g(X1,X2),g(X1,X2)) ),
inference(scs_inference,[],[i_0_8,i_0_7]) ).
cnf(i_0_24,plain,
( ~ big_f(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2)))
| ~ big_f(X1,X2)
| ~ big_f(g(X1,X2),g(X1,X2)) ),
inference(scs_inference,[],[i_0_23,i_0_7]) ).
cnf(i_0_25,plain,
( ~ big_f(X1,X2)
| ~ big_g(g(X2,g(X1,X2)),g(X2,g(X1,X2)))
| ~ big_f(X1,g(X1,X2)) ),
inference(scs_inference,[],[i_0_8,i_0_9]) ).
cnf(i_0_26,plain,
( big_f(g(X1,X2),g(X1,X2))
| ~ big_f(X1,g(X1,X2))
| ~ big_g(g(X2,g(X1,X2)),g(X2,g(X1,X2))) ),
inference(scs_inference,[],[i_0_8,i_0_16]) ).
cnf(i_0_27,plain,
( big_f(X1,X2)
| big_g(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2))) ),
inference(scs_inference,[],[i_0_11,i_0_12]) ).
cnf(i_0_28,plain,
( ~ big_g(g(X1,X2),g(X1,X2))
| big_g(X2,g(X1,X2))
| ~ big_f(X1,g(X1,X2)) ),
inference(scs_inference,[],[i_0_11,i_0_9]) ).
cnf(i_0_29,plain,
( big_g(X1,g(X2,X1))
| ~ big_f(X2,g(X2,X1))
| big_g(g(g(X2,X1),g(X2,X1)),g(g(X2,X1),g(X2,X1))) ),
inference(scs_inference,[],[i_0_28,i_0_12]) ).
cnf(i_0_30,plain,
( big_f(X1,X2)
| big_g(X1,X2) ),
inference(scs_inference,[],[i_0_11,i_0_12]) ).
cnf(i_0_31,plain,
( big_f(g(X1,X2),g(X1,X2))
| ~ big_g(X1,X2) ),
inference(scs_inference,[],[i_0_30,i_0_8]) ).
cnf(i_0_32,plain,
( big_f(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2)))
| big_g(X1,X2) ),
inference(scs_inference,[],[i_0_31,i_0_12]) ).
cnf(i_0_33,plain,
( ~ big_f(X1,X2)
| big_g(g(X1,X2),g(X1,X2)) ),
inference(scs_inference,[],[i_0_30,i_0_7]) ).
cnf(i_0_34,plain,
( ~ big_f(X1,X2)
| ~ big_g(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2))) ),
inference(scs_inference,[],[i_0_33,i_0_8]) ).
cnf(i_0_35,plain,
( ~ big_f(X1,X2)
| big_f(X2,g(X1,X2))
| big_f(X1,g(X1,X2)) ),
inference(scs_inference,[],[i_0_30,i_0_10]) ).
cnf(i_0_36,plain,
( big_g(X1,X2)
| big_g(X2,g(X1,X2))
| ~ big_f(X1,g(X1,X2)) ),
inference(scs_inference,[],[i_0_30,i_0_9]) ).
cnf(i_0_37,plain,
( ~ big_f(X1,g(X1,X2))
| big_g(X1,X2)
| ~ big_g(g(X2,g(X1,X2)),g(X2,g(X1,X2))) ),
inference(scs_inference,[],[i_0_36,i_0_8]) ).
cnf(i_0_38,plain,
( big_f(X1,g(X1,X2))
| ~ big_g(X2,g(X1,X2))
| big_f(g(X1,X2),g(X1,X2)) ),
inference(scs_inference,[],[i_0_30,i_0_17]) ).
cnf(i_0_39,plain,
( big_f(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_f(X1,g(X1,X2))
| ~ big_g(X2,g(X1,X2)) ),
inference(scs_inference,[],[i_0_38,i_0_35]) ).
cnf(i_0_40,plain,
( big_g(X1,g(X1,X2))
| ~ big_f(X1,X2)
| big_g(X2,g(X1,X2)) ),
inference(scs_inference,[],[i_0_30,i_0_9]) ).
cnf(i_0_41,plain,
( big_g(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_f(X1,X2) ),
inference(scs_inference,[],[i_0_40,i_0_13]) ).
cnf(i_0_42,plain,
( big_g(g(X1,X2),g(X1,X2))
| big_g(g(X1,X2),g(g(X1,X2),g(X1,X2))) ),
inference(scs_inference,[],[i_0_41,i_0_33]) ).
cnf(i_0_43,plain,
( big_g(g(X1,X2),g(X1,X2))
| ~ big_g(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2)))
| big_f(g(X1,X2),g(g(X1,X2),g(X1,X2))) ),
inference(scs_inference,[],[i_0_42,i_0_17]) ).
cnf(i_0_44,plain,
( ~ big_g(g(X1,X2),g(X1,X2))
| big_f(X1,g(X1,X2))
| big_f(X2,g(X1,X2)) ),
inference(scs_inference,[],[i_0_30,i_0_17]) ).
cnf(i_0_45,plain,
( big_f(X1,g(X1,X2))
| big_f(X2,g(X1,X2))
| big_g(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2))) ),
inference(scs_inference,[],[i_0_44,i_0_12]) ).
cnf(i_0_46,plain,
( big_g(X1,X2)
| ~ big_g(X2,g(X1,X2))
| big_f(X1,g(X1,X2)) ),
inference(scs_inference,[],[i_0_30,i_0_10]) ).
cnf(i_0_47,plain,
( big_f(X1,g(X1,X2))
| ~ big_f(X1,g(X1,X2))
| big_g(X1,X2) ),
inference(scs_inference,[],[i_0_46,i_0_36]) ).
cnf(i_0_48,plain,
( big_f(X1,g(X1,X2))
| ~ big_f(X1,g(X1,X2))
| ~ big_g(g(X1,X2),g(X1,X2)) ),
inference(scs_inference,[],[i_0_47,i_0_8]) ).
cnf(i_0_49,plain,
( big_f(X1,g(X1,X2))
| ~ big_f(X1,g(X1,X2))
| big_g(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2))) ),
inference(scs_inference,[],[i_0_48,i_0_12]) ).
cnf(i_0_50,plain,
( ~ big_f(g(X1,X2),g(X1,X2))
| big_f(X1,X2)
| ~ big_f(X1,X2) ),
inference(scs_inference,[],[i_0_30,i_0_23]) ).
cnf(i_0_51,plain,
( big_g(X1,g(X1,X2))
| big_f(g(X1,X2),g(X1,X2))
| big_g(X2,g(X1,X2)) ),
inference(scs_inference,[],[i_0_30,i_0_16]) ).
cnf(i_0_52,plain,
( big_f(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_g(X1,g(X1,X2))
| big_g(X2,g(X1,X2)) ),
inference(scs_inference,[],[i_0_51,i_0_35]) ).
cnf(i_0_53,plain,
( big_f(g(X1,X2),g(X1,X2))
| big_f(X1,g(X1,X2))
| big_f(X2,g(X1,X2)) ),
inference(scs_inference,[],[i_0_30,i_0_38]) ).
cnf(i_0_54,plain,
( big_f(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_f(X1,g(X1,X2))
| big_f(X2,g(X1,X2)) ),
inference(scs_inference,[],[i_0_53,i_0_35]) ).
cnf(i_0_55,plain,
( big_g(X1,g(X1,X2))
| ~ big_g(g(X1,X2),g(X1,X2))
| big_g(X2,g(X1,X2)) ),
inference(scs_inference,[],[i_0_30,i_0_28]) ).
cnf(i_0_56,plain,
( big_g(X1,g(X1,X2))
| big_g(X2,g(X1,X2))
| big_g(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2))) ),
inference(scs_inference,[],[i_0_55,i_0_12]) ).
cnf(i_0_57,plain,
( big_f(X1,g(X1,X2))
| big_f(X2,g(X1,X2))
| big_g(X1,X2) ),
inference(scs_inference,[],[i_0_30,i_0_46]) ).
cnf(i_0_58,plain,
( big_f(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| ~ big_g(X1,X2) ),
inference(scs_inference,[],[i_0_57,i_0_8]) ).
cnf(i_0_59,plain,
( big_f(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_g(g(X1,X2),g(X1,X2)) ),
inference(scs_inference,[],[i_0_58,i_0_12]) ).
cnf(i_0_60,plain,
( big_f(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_f(X1,X2) ),
inference(scs_inference,[],[i_0_59,i_0_11]) ).
cnf(i_0_61,plain,
( big_f(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_g(X2,g(X1,X2))
| ~ big_f(X1,g(X1,X2)) ),
inference(scs_inference,[],[i_0_60,i_0_9]) ).
cnf(i_0_62,plain,
( big_f(X1,g(X1,X2))
| ~ big_f(X1,g(X1,X2))
| big_f(g(X1,X2),g(X1,X2)) ),
inference(scs_inference,[],[i_0_30,i_0_48]) ).
cnf(i_0_63,plain,
( big_f(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_f(X1,g(X1,X2))
| ~ big_f(X1,g(X1,X2)) ),
inference(scs_inference,[],[i_0_62,i_0_35]) ).
cnf(i_0_64,plain,
( big_f(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_g(X2,g(X1,X2))
| ~ big_g(g(X1,g(X1,X2)),g(X1,g(X1,X2))) ),
inference(scs_inference,[],[i_0_11,i_0_61]) ).
cnf(i_0_65,plain,
( big_f(X1,X2)
| ~ big_f(X1,X2) ),
inference(scs_inference,[],[i_0_11,i_0_33]) ).
cnf(i_0_66,plain,
( ~ big_f(X1,X2)
| ~ big_g(g(X1,g(X1,X2)),g(X1,g(X1,X2)))
| big_g(X2,g(X1,X2)) ),
inference(scs_inference,[],[i_0_11,i_0_9]) ).
cnf(i_0_67,plain,
( big_f(g(X1,X2),g(X1,X2))
| big_g(X2,g(X1,X2))
| ~ big_g(g(X1,g(X1,X2)),g(X1,g(X1,X2))) ),
inference(scs_inference,[],[i_0_11,i_0_16]) ).
cnf(i_0_68,plain,
( ~ big_g(g(X1,X2),g(X1,X2))
| big_g(X2,g(X1,X2))
| ~ big_g(g(X1,g(X1,X2)),g(X1,g(X1,X2))) ),
inference(scs_inference,[],[i_0_11,i_0_28]) ).
cnf(i_0_69,plain,
( big_g(X1,g(X2,X1))
| big_g(X2,X1)
| ~ big_g(g(X2,g(X2,X1)),g(X2,g(X2,X1))) ),
inference(scs_inference,[],[i_0_11,i_0_36]) ).
cnf(i_0_70,plain,
( ~ big_f(X1,X2)
| big_g(g(X2,g(X1,X2)),g(X2,g(X1,X2)))
| big_f(X1,g(X1,X2)) ),
inference(scs_inference,[],[i_0_12,i_0_10]) ).
cnf(i_0_71,plain,
( big_f(g(g(X1,X2),g(X1,X2)),g(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2))))
| big_g(X1,X2) ),
inference(scs_inference,[],[i_0_12,i_0_58]) ).
cnf(i_0_72,plain,
( ~ big_g(g(X1,X2),g(X1,X2))
| big_f(X1,g(X1,X2))
| big_g(g(X2,g(X1,X2)),g(X2,g(X1,X2))) ),
inference(scs_inference,[],[i_0_12,i_0_17]) ).
cnf(i_0_73,plain,
( ~ big_f(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2)))
| big_g(X1,X2)
| ~ big_f(g(X1,X2),g(X1,X2)) ),
inference(scs_inference,[],[i_0_12,i_0_23]) ).
cnf(i_0_74,plain,
( big_f(g(X1,X2),g(X1,X2))
| big_f(X1,g(X1,X2))
| big_g(g(X2,g(X1,X2)),g(X2,g(X1,X2))) ),
inference(scs_inference,[],[i_0_12,i_0_38]) ).
cnf(i_0_75,plain,
( big_g(X1,g(X1,X2))
| big_g(X2,g(X1,X2))
| big_g(X1,X2) ),
inference(scs_inference,[],[i_0_12,i_0_55]) ).
cnf(i_0_76,plain,
( big_g(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| ~ big_g(X1,X2) ),
inference(scs_inference,[],[i_0_75,i_0_8]) ).
cnf(i_0_77,plain,
( big_g(g(g(X1,X2),g(X1,X2)),g(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2))))
| ~ big_f(X1,X2) ),
inference(scs_inference,[],[i_0_76,i_0_33]) ).
cnf(i_0_78,plain,
( big_f(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_f(X1,g(X1,X2))
| big_g(g(X2,g(X1,X2)),g(X2,g(X1,X2))) ),
inference(scs_inference,[],[i_0_12,i_0_39]) ).
cnf(i_0_79,plain,
( big_g(g(g(X1,X2),g(X1,X2)),g(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2))))
| big_g(X1,X2) ),
inference(scs_inference,[],[i_0_12,i_0_76]) ).
cnf(i_0_80,plain,
( big_f(X1,g(X1,X2))
| big_g(X1,X2)
| big_g(g(X2,g(X1,X2)),g(X2,g(X1,X2))) ),
inference(scs_inference,[],[i_0_12,i_0_46]) ).
cnf(i_0_81,plain,
( ~ big_f(X1,X2)
| big_f(g(X1,g(X1,X2)),g(X1,g(X1,X2)))
| big_g(X2,g(X1,X2)) ),
inference(scs_inference,[],[i_0_13,i_0_9]) ).
cnf(i_0_82,plain,
( big_f(g(X1,X2),g(X1,X2))
| big_g(X2,g(X1,X2))
| big_f(g(X1,g(X1,X2)),g(X1,g(X1,X2))) ),
inference(scs_inference,[],[i_0_13,i_0_16]) ).
cnf(i_0_83,plain,
( ~ big_g(X1,X2)
| ~ big_f(X1,X2)
| big_f(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2))) ),
inference(scs_inference,[],[i_0_13,i_0_23]) ).
cnf(i_0_84,plain,
( ~ big_g(g(X1,X2),g(X1,X2))
| big_g(X2,g(X1,X2))
| big_f(g(X1,g(X1,X2)),g(X1,g(X1,X2))) ),
inference(scs_inference,[],[i_0_13,i_0_28]) ).
cnf(i_0_85,plain,
( big_g(X1,g(X2,X1))
| big_g(X2,X1)
| big_f(g(X2,g(X2,X1)),g(X2,g(X2,X1))) ),
inference(scs_inference,[],[i_0_13,i_0_36]) ).
cnf(i_0_86,plain,
( big_f(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_g(X2,g(X1,X2))
| big_f(g(X1,g(X1,X2)),g(X1,g(X1,X2))) ),
inference(scs_inference,[],[i_0_13,i_0_61]) ).
cnf(i_0_87,plain,
( big_f(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2)))
| ~ big_f(X1,X2) ),
inference(scs_inference,[],[i_0_31,i_0_33]) ).
cnf(i_0_88,plain,
( big_g(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_f(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2))) ),
inference(scs_inference,[],[i_0_31,i_0_42]) ).
cnf(i_0_89,plain,
( big_f(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_f(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2))) ),
inference(scs_inference,[],[i_0_31,i_0_59]) ).
cnf(i_0_90,plain,
( ~ big_f(X1,X2)
| big_f(g(X2,g(X1,X2)),g(X2,g(X1,X2)))
| ~ big_f(X1,g(X1,X2)) ),
inference(scs_inference,[],[i_0_31,i_0_9]) ).
cnf(i_0_91,plain,
( big_f(g(X1,g(X2,X1)),g(X1,g(X2,X1)))
| big_f(g(X2,X1),g(X2,X1))
| ~ big_f(X2,g(X2,X1)) ),
inference(scs_inference,[],[i_0_31,i_0_16]) ).
cnf(i_0_92,plain,
( big_f(g(X1,g(X2,X1)),g(X1,g(X2,X1)))
| ~ big_g(g(X2,X1),g(X2,X1))
| ~ big_f(X2,g(X2,X1)) ),
inference(scs_inference,[],[i_0_31,i_0_28]) ).
cnf(i_0_93,plain,
( ~ big_f(X1,g(X1,X2))
| big_f(g(X2,g(X1,X2)),g(X2,g(X1,X2)))
| big_g(X1,X2) ),
inference(scs_inference,[],[i_0_31,i_0_36]) ).
cnf(i_0_94,plain,
( ~ big_f(X1,X2)
| big_f(g(X2,g(X1,X2)),g(X2,g(X1,X2)))
| big_g(X1,g(X1,X2)) ),
inference(scs_inference,[],[i_0_31,i_0_40]) ).
cnf(i_0_95,plain,
( big_f(g(X1,g(X2,X1)),g(X1,g(X2,X1)))
| big_f(g(X2,X1),g(X2,X1))
| big_g(X2,g(X2,X1)) ),
inference(scs_inference,[],[i_0_31,i_0_51]) ).
cnf(i_0_96,plain,
( big_f(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_f(g(X2,g(X1,X2)),g(X2,g(X1,X2)))
| big_g(X1,g(X1,X2)) ),
inference(scs_inference,[],[i_0_31,i_0_52]) ).
cnf(i_0_97,plain,
( big_f(g(X1,g(X2,X1)),g(X1,g(X2,X1)))
| ~ big_g(g(X2,X1),g(X2,X1))
| big_g(X2,g(X2,X1)) ),
inference(scs_inference,[],[i_0_31,i_0_55]) ).
cnf(i_0_98,plain,
( big_f(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_f(g(X2,g(X1,X2)),g(X2,g(X1,X2)))
| ~ big_f(X1,g(X1,X2)) ),
inference(scs_inference,[],[i_0_31,i_0_61]) ).
cnf(i_0_99,plain,
( big_g(X1,X2)
| big_f(g(X2,g(X1,X2)),g(X2,g(X1,X2)))
| big_g(X1,g(X1,X2)) ),
inference(scs_inference,[],[i_0_31,i_0_75]) ).
cnf(i_0_100,plain,
( big_g(g(X1,g(X1,X2)),g(X1,g(X1,X2)))
| ~ big_f(X1,X2)
| ~ big_g(X2,g(X1,X2)) ),
inference(scs_inference,[],[i_0_33,i_0_10]) ).
cnf(i_0_101,plain,
( ~ big_f(X1,X2)
| ~ big_g(X1,X2) ),
inference(scs_inference,[],[i_0_33,i_0_8]) ).
cnf(i_0_102,plain,
( ~ big_f(g(X1,X2),g(X1,X2))
| big_g(X1,X2) ),
inference(scs_inference,[],[i_0_101,i_0_12]) ).
cnf(i_0_103,plain,
( ~ big_f(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2)))
| big_f(X1,X2) ),
inference(scs_inference,[],[i_0_102,i_0_11]) ).
cnf(i_0_104,plain,
( ~ big_g(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| ~ big_g(X1,X2) ),
inference(scs_inference,[],[i_0_101,i_0_58]) ).
cnf(i_0_105,plain,
( ~ big_g(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_g(g(X1,X2),g(X1,X2)) ),
inference(scs_inference,[],[i_0_104,i_0_12]) ).
cnf(i_0_106,plain,
( big_f(X1,X2)
| big_g(g(X1,X2),g(X1,X2)) ),
inference(scs_inference,[],[i_0_105,i_0_41]) ).
cnf(i_0_107,plain,
( big_f(X1,X2)
| ~ big_g(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2))) ),
inference(scs_inference,[],[i_0_106,i_0_8]) ).
cnf(i_0_108,plain,
( ~ big_f(g(X1,X2),g(X1,X2))
| ~ big_f(X1,X2) ),
inference(scs_inference,[],[i_0_101,i_0_33]) ).
cnf(i_0_109,plain,
( ~ big_g(X1,X2)
| ~ big_f(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2))) ),
inference(scs_inference,[],[i_0_108,i_0_31]) ).
cnf(i_0_110,plain,
( ~ big_g(g(X1,X2),g(g(X1,X2),g(X1,X2)))
| big_f(X1,X2) ),
inference(scs_inference,[],[i_0_101,i_0_60]) ).
cnf(i_0_111,plain,
( big_g(X1,X2)
| ~ big_g(g(g(X1,X2),g(X1,X2)),g(g(g(X1,X2),g(X1,X2)),g(g(X1,X2),g(X1,X2)))) ),
inference(scs_inference,[],[i_0_110,i_0_102]) ).
cnf(i_0_112,plain,
( big_f(X1,X2)
| ~ big_f(g(X1,X2),g(g(X1,X2),g(X1,X2))) ),
inference(scs_inference,[],[i_0_101,i_0_41]) ).
cnf(i_0_113,plain,
( ~ big_g(X1,X2)
| big_f(X1,X2) ),
inference(scs_inference,[],[i_0_112,i_0_58]) ).
cnf(i_0_114,plain,
( big_g(g(X1,X2),g(X1,X2))
| ~ big_g(X1,X2) ),
inference(scs_inference,[],[i_0_113,i_0_33]) ).
cnf(i_0_115,plain,
big_g(g(X1,X2),g(X1,X2)),
inference(scs_inference,[],[i_0_114,i_0_12]) ).
cnf(i_0_116,plain,
~ big_g(X1,X2),
inference(scs_inference,[],[i_0_115,i_0_8]) ).
cnf(i_0_117,plain,
( ~ big_g(g(X1,X2),g(X1,X2))
| ~ big_g(X1,X2) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_118,plain,
big_f(X1,X2),
inference(scs_inference,[],[i_0_115,i_0_8,i_0_11]) ).
cnf(i_0_119,plain,
( ~ big_g(g(X1,X2),g(X1,X2))
| big_f(X1,X2) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_120,plain,
~ big_f(g(X1,X2),g(X1,X2)),
inference(scs_inference,[],[i_0_115,i_0_8,i_0_11,i_0_101]) ).
cnf(i_0_121,plain,
( ~ big_g(X1,X2)
| ~ big_f(X1,X2) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_122,plain,
big_g(X1,X2),
inference(scs_inference,[],[i_0_115,i_0_8,i_0_11,i_0_101,i_0_102]) ).
cnf(i_0_123,plain,
$false,
inference(scs_inference,[],[i_0_115,i_0_8,i_0_11,i_0_101,i_0_102,i_0_113]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN012-1 : TPTP v9.2.1. Released v1.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.34 % Computer : n004.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 08:04:17 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 0.90/1.63 % Version : CSE_E---1.7
% 0.90/1.63 % Problem : theBenchmark.p
% 0.90/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 0.90/1.63 % SZS output start CNFRefutation
% See solution above
% 1.00/1.77 % Total time : 1.274s
%------------------------------------------------------------------------------