%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET874+1 : TPTP v9.2.1. Released v3.2.0.
% 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 : n014.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 05:08:53 PM UTC 2026
% Result : Theorem 0.18s 1.76s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 33)
% Comments :
%------------------------------------------------------------------------------
fof(t14_zfmisc_1,conjecture,
! [X1,X2] : set_union2(singleton(X1),unordered_pair(X1,X2)) = unordered_pair(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_zfmisc_1) ).
fof(fc2_xboole_0,axiom,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_xboole_0) ).
fof(fc3_xboole_0,axiom,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_xboole_0) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ empty(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(d2_tarski,axiom,
! [X1,X2,X3] :
( X3 = unordered_pair(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( X4 = X1
| X4 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
fof(l23_zfmisc_1,axiom,
! [X1,X2] :
( in(X1,X2)
=> set_union2(singleton(X1),X2) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_zfmisc_1) ).
fof(commutativity_k2_xboole_0,axiom,
! [X1,X2] : set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(idempotence_k2_xboole_0,axiom,
! [X1,X2] : set_union2(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(i_0_11,negated_conjecture,
~ ! [X1,X2] : set_union2(singleton(X1),unordered_pair(X1,X2)) = unordered_pair(X1,X2),
inference(assume_negation,[status(cth)],[t14_zfmisc_1]) ).
fof(i_0_12,plain,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc2_xboole_0]) ).
fof(i_0_13,plain,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X2,X1)) ),
inference(fof_simplification,[status(thm)],[fc3_xboole_0]) ).
fof(i_0_14,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_15,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_16,plain,
! [X33,X34,X35,X36,X37,X38,X39,X40] :
( ( ~ in(X36,X35)
| X36 = X33
| X36 = X34
| X35 != unordered_pair(X33,X34) )
& ( X37 != X33
| in(X37,X35)
| X35 != unordered_pair(X33,X34) )
& ( X37 != X34
| in(X37,X35)
| X35 != unordered_pair(X33,X34) )
& ( esk1_3(X38,X39,X40) != X38
| ~ in(esk1_3(X38,X39,X40),X40)
| X40 = unordered_pair(X38,X39) )
& ( esk1_3(X38,X39,X40) != X39
| ~ in(esk1_3(X38,X39,X40),X40)
| X40 = unordered_pair(X38,X39) )
& ( in(esk1_3(X38,X39,X40),X40)
| esk1_3(X38,X39,X40) = X38
| esk1_3(X38,X39,X40) = X39
| X40 = unordered_pair(X38,X39) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tarski])])])])])]) ).
fof(i_0_17,negated_conjecture,
set_union2(singleton(esk4_0),unordered_pair(esk4_0,esk5_0)) != unordered_pair(esk4_0,esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_11])])]) ).
fof(i_0_18,plain,
! [X42,X43] :
( empty(X42)
| ~ empty(set_union2(X42,X43)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_12])]) ).
fof(i_0_19,plain,
! [X44,X45] :
( empty(X44)
| ~ empty(set_union2(X45,X44)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_13])]) ).
fof(i_0_20,plain,
! [X27,X28] :
( ~ in(X27,X28)
| ~ in(X28,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_14])]) ).
fof(i_0_21,plain,
! [X47,X48] :
( ~ in(X47,X48)
| set_union2(singleton(X47),X48) = X48 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l23_zfmisc_1])]) ).
fof(i_0_22,plain,
! [X31,X32] : set_union2(X31,X32) = set_union2(X32,X31),
inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0]) ).
fof(i_0_23,plain,
! [X29,X30] : unordered_pair(X29,X30) = unordered_pair(X30,X29),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(i_0_24,plain,
! [X46] : set_union2(X46,X46) = X46,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k2_xboole_0])]) ).
fof(i_0_25,plain,
~ empty(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_15])]) ).
fof(i_0_26,plain,
empty(esk2_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_27,plain,
( X3 = unordered_pair(X1,X2)
| esk1_3(X1,X2,X3) != X1
| ~ in(esk1_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_28,plain,
( X3 = unordered_pair(X1,X2)
| esk1_3(X1,X2,X3) != X2
| ~ in(esk1_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_29,plain,
( in(esk1_3(X1,X2,X3),X3)
| esk1_3(X1,X2,X3) = X1
| esk1_3(X1,X2,X3) = X2
| X3 = unordered_pair(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_30,negated_conjecture,
set_union2(singleton(esk4_0),unordered_pair(esk4_0,esk5_0)) != unordered_pair(esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_31,plain,
( empty(X1)
| ~ empty(set_union2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_32,plain,
( empty(X1)
| ~ empty(set_union2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_33,plain,
( X1 = X3
| X1 = X4
| ~ in(X1,X2)
| X2 != unordered_pair(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_34,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_35,plain,
( set_union2(singleton(X1),X2) = X2
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_21]),
[final] ).
cnf(i_0_36,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_37,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_38,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_22]),
[final] ).
cnf(i_0_39,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_40,plain,
set_union2(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_24]),
[final] ).
cnf(i_0_41,plain,
~ empty(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_25]),
[final] ).
cnf(i_0_42,plain,
empty(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_26]),
[final] ).
cnf(i_0_43,axiom,
X1 = X1 ).
cnf(i_0_44,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_45,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_46,axiom,
( X1 != X2
| unordered_pair(X1,X3) = unordered_pair(X2,X3) ) ).
cnf(i_0_47,axiom,
( X1 != X2
| unordered_pair(X3,X1) = unordered_pair(X3,X2) ) ).
cnf(i_0_48,axiom,
( X1 != X2
| esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).
cnf(i_0_49,axiom,
( X1 != X2
| esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).
cnf(i_0_50,axiom,
( X1 != X2
| esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).
cnf(i_0_51,axiom,
( X1 != X2
| set_union2(X1,X3) = set_union2(X2,X3) ) ).
cnf(i_0_52,axiom,
( X1 != X2
| set_union2(X3,X1) = set_union2(X3,X2) ) ).
cnf(i_0_53,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_54,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_55,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_43_001,axiom,
X1 = X1 ).
cnf(i_0_44_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_45_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_46_004,axiom,
( X1 != X2
| unordered_pair(X1,X3) = unordered_pair(X2,X3) ) ).
cnf(i_0_47_005,axiom,
( X1 != X2
| unordered_pair(X3,X1) = unordered_pair(X3,X2) ) ).
cnf(i_0_48_006,axiom,
( X1 != X2
| esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).
cnf(i_0_49_007,axiom,
( X1 != X2
| esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).
cnf(i_0_50_008,axiom,
( X1 != X2
| esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).
cnf(i_0_51_009,axiom,
( X1 != X2
| set_union2(X1,X3) = set_union2(X2,X3) ) ).
cnf(i_0_52_010,axiom,
( X1 != X2
| set_union2(X3,X1) = set_union2(X3,X2) ) ).
cnf(i_0_53_011,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_54_012,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_55_013,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_56,plain,
( X1 = X2
| X1 = X3
| ~ in(X1,unordered_pair(X2,X3)) ),
inference(equality_inference,[],[33]) ).
cnf(i_0_57,plain,
~ in(esk4_0,unordered_pair(esk4_0,esk5_0)),
inference(scs_inference,[],[i_0_30,i_0_35]) ).
cnf(i_0_58,plain,
( set_union2(singleton(X1),X2) = X2
| ~ in(X1,X2) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_59,plain,
X1 = set_union2(X1,X1),
inference(scs_inference,[],[i_0_30,i_0_40,i_0_35,i_0_44]) ).
cnf(i_0_60,plain,
esk4_0 != esk5_0,
inference(scs_inference,[],[i_0_30,i_0_40,i_0_39,i_0_35,i_0_44,i_0_36]) ).
cnf(i_0_61,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_62,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X2 ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_63,plain,
set_union2(singleton(esk4_0),unordered_pair(esk4_0,esk5_0)) != set_union2(unordered_pair(esk4_0,esk5_0),unordered_pair(esk4_0,esk5_0)),
inference(scs_inference,[],[i_0_30,i_0_40,i_0_39,i_0_35,i_0_44,i_0_36,i_0_45]) ).
cnf(i_0_64,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_66,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_67,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X3 ),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_68,plain,
~ in(set_union2(esk4_0,esk4_0),unordered_pair(esk4_0,esk5_0)),
inference(scs_inference,[],[i_0_30,i_0_40,i_0_64,i_0_39,i_0_61,i_0_35,i_0_44,i_0_36,i_0_45,i_0_37,i_0_53]) ).
cnf(i_0_69,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_70,plain,
~ in(esk4_0,set_union2(unordered_pair(esk4_0,esk5_0),unordered_pair(esk4_0,esk5_0))),
inference(scs_inference,[],[i_0_30,i_0_40,i_0_64,i_0_69,i_0_39,i_0_61,i_0_35,i_0_44,i_0_36,i_0_45,i_0_37,i_0_53,i_0_54]) ).
cnf(i_0_71,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_72,plain,
esk2_0 != esk3_0,
inference(scs_inference,[],[i_0_30,i_0_40,i_0_64,i_0_69,i_0_39,i_0_61,i_0_41,i_0_42,i_0_35,i_0_44,i_0_36,i_0_45,i_0_37,i_0_53,i_0_54,i_0_55]) ).
cnf(i_0_73,plain,
~ in(set_union2(singleton(esk4_0),unordered_pair(esk4_0,esk5_0)),unordered_pair(unordered_pair(esk4_0,esk5_0),unordered_pair(esk4_0,esk5_0))),
inference(scs_inference,[],[i_0_30,i_0_40,i_0_64,i_0_69,i_0_39,i_0_61,i_0_66,i_0_41,i_0_42,i_0_35,i_0_44,i_0_36,i_0_45,i_0_37,i_0_53,i_0_54,i_0_55,i_0_33]) ).
cnf(i_0_74,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_75,plain,
( X1 != unordered_pair(X2,X3)
| X4 = X2
| X4 = X3
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_76,plain,
singleton(esk4_0) != unordered_pair(esk4_0,esk5_0),
inference(scs_inference,[],[i_0_30,i_0_40,i_0_64,i_0_69,i_0_39,i_0_61,i_0_66,i_0_41,i_0_42,i_0_35,i_0_44,i_0_36,i_0_45,i_0_37,i_0_53,i_0_54,i_0_55,i_0_33,i_0_51]) ).
cnf(i_0_77,plain,
( X1 = unordered_pair(X2,X3)
| in(esk1_3(X2,X3,X1),X1)
| esk1_3(X2,X3,X1) = X2
| esk1_3(X2,X3,X1) = X3 ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_78,plain,
( esk1_3(esk4_0,esk5_0,set_union2(singleton(esk4_0),unordered_pair(esk4_0,esk5_0))) = esk4_0
| esk1_3(esk4_0,esk5_0,set_union2(singleton(esk4_0),unordered_pair(esk4_0,esk5_0))) = esk5_0
| in(esk1_3(esk4_0,esk5_0,set_union2(singleton(esk4_0),unordered_pair(esk4_0,esk5_0))),set_union2(singleton(esk4_0),unordered_pair(esk4_0,esk5_0))) ),
inference(scs_inference,[],[i_0_30,i_0_40,i_0_64,i_0_69,i_0_39,i_0_61,i_0_66,i_0_41,i_0_42,i_0_35,i_0_44,i_0_36,i_0_45,i_0_37,i_0_53,i_0_54,i_0_55,i_0_33,i_0_51,i_0_29]) ).
cnf(i_0_80,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_81,plain,
set_union2(singleton(esk4_0),unordered_pair(esk4_0,esk5_0)) != unordered_pair(esk5_0,esk4_0),
inference(scs_inference,[],[i_0_30,i_0_70,i_0_39,i_0_40,i_0_36,i_0_45]) ).
cnf(i_0_82,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_83,plain,
~ in(set_union2(unordered_pair(esk4_0,esk5_0),singleton(esk4_0)),unordered_pair(unordered_pair(esk4_0,esk5_0),unordered_pair(esk4_0,esk5_0))),
inference(scs_inference,[],[i_0_30,i_0_73,i_0_70,i_0_38,i_0_39,i_0_40,i_0_36,i_0_45,i_0_53]) ).
cnf(i_0_84,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_85,plain,
~ in(esk4_0,unordered_pair(esk5_0,esk4_0)),
inference(scs_inference,[],[i_0_30,i_0_73,i_0_57,i_0_70,i_0_38,i_0_39,i_0_82,i_0_40,i_0_36,i_0_45,i_0_53,i_0_54]) ).
cnf(i_0_86,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_87,plain,
( X1 = unordered_pair(X2,X3)
| in(esk1_3(X2,X3,X1),X1)
| esk1_3(X2,X3,X1) = X2
| esk1_3(X2,X3,X1) = X3 ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_90,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_91,plain,
~ in(set_union2(esk4_0,esk4_0),unordered_pair(esk5_0,esk4_0)),
inference(scs_inference,[],[i_0_85,i_0_70,i_0_40,i_0_90,i_0_36,i_0_53]) ).
cnf(i_0_92,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_93,plain,
( X1 = unordered_pair(X2,X3)
| in(esk1_3(X2,X3,X1),X1)
| esk1_3(X2,X3,X1) = X2
| esk1_3(X2,X3,X1) = X3 ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_96,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_97,plain,
~ in(set_union2(esk4_0,esk4_0),set_union2(unordered_pair(esk4_0,esk5_0),unordered_pair(esk4_0,esk5_0))),
inference(scs_inference,[],[i_0_70,i_0_40,i_0_96,i_0_36,i_0_53]) ).
cnf(i_0_98,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_99,plain,
( X1 = unordered_pair(X2,X3)
| in(esk1_3(X2,X3,X1),X1)
| esk1_3(X2,X3,X1) = X2
| esk1_3(X2,X3,X1) = X3 ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_102,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_103,plain,
set_union2(esk4_0,esk4_0) != esk4_0,
inference(scs_inference,[],[i_0_57,i_0_97,i_0_39,i_0_40,i_0_37,i_0_36]) ).
cnf(i_0_104,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_105,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X2 ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_106,plain,
$false,
inference(scs_inference,[],[i_0_59,i_0_57,i_0_97,i_0_39,i_0_40,i_0_37,i_0_36,i_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.21 % Problem : SET874+1 : TPTP v9.2.1. Released v3.2.0.
% 0.02/0.21 % 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
% 0.10/0.44 % Computer : n014.cluster.edu
% 0.10/0.44 % Model : x86_64 x86_64
% 0.10/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.44 % Memory : 8042.1875MB
% 0.10/0.44 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.45 % CPULimit : 300
% 0.10/0.45 % WCLimit : 300
% 0.10/0.45 % DateTime : Tue May 5 02:38:07 EDT 2026
% 0.10/0.46 % CPUTime :
% 0.14/0.47 % start to proof: theBenchmark
% 0.18/1.76 % Version : CSE_E---1.7
% 0.18/1.76 % Problem : theBenchmark.p
% 0.18/1.76 % SZS status Theorem for theBenchmark.p
% 0.18/1.76 % SZS output start CNFRefutation
% See solution above
% 0.24/1.88 % Total time : 1.285s
%------------------------------------------------------------------------------