%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET944+1 : TPTP v9.2.1. Released v3.2.0.
% 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 : n031.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 05:09:01 PM UTC 2026
% Result : Theorem 203.13s 135.84s
% Output : CNFRefutation 204.63s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_62)
% Comments :
%------------------------------------------------------------------------------
fof(t97_zfmisc_1,conjecture,
! [X1,X2] : subset(union(set_intersection2(X1,X2)),set_intersection2(union(X1),union(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t97_zfmisc_1) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_intersection2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& in(X4,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(d4_tarski,axiom,
! [X1,X2] :
( X2 = union(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X3,X4)
& in(X4,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(idempotence_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(i_0_10,negated_conjecture,
~ ! [X1,X2] : subset(union(set_intersection2(X1,X2)),set_intersection2(union(X1),union(X2))),
inference(assume_negation,[status(cth)],[t97_zfmisc_1]) ).
fof(i_0_11,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_12,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_13,plain,
! [X38,X39,X40,X41,X42,X43,X44,X45] :
( ( in(X41,X38)
| ~ in(X41,X40)
| X40 != set_intersection2(X38,X39) )
& ( in(X41,X39)
| ~ in(X41,X40)
| X40 != set_intersection2(X38,X39) )
& ( ~ in(X42,X38)
| ~ in(X42,X39)
| in(X42,X40)
| X40 != set_intersection2(X38,X39) )
& ( ~ in(esk2_3(X43,X44,X45),X45)
| ~ in(esk2_3(X43,X44,X45),X43)
| ~ in(esk2_3(X43,X44,X45),X44)
| X45 = set_intersection2(X43,X44) )
& ( in(esk2_3(X43,X44,X45),X43)
| in(esk2_3(X43,X44,X45),X45)
| X45 = set_intersection2(X43,X44) )
& ( in(esk2_3(X43,X44,X45),X44)
| in(esk2_3(X43,X44,X45),X45)
| X45 = set_intersection2(X43,X44) ) ),
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)],[d3_xboole_0])])])])])]) ).
fof(i_0_14,plain,
! [X47,X48,X49,X51,X52,X53,X54,X56] :
( ( in(X49,esk3_3(X47,X48,X49))
| ~ in(X49,X48)
| X48 != union(X47) )
& ( in(esk3_3(X47,X48,X49),X47)
| ~ in(X49,X48)
| X48 != union(X47) )
& ( ~ in(X51,X52)
| ~ in(X52,X47)
| in(X51,X48)
| X48 != union(X47) )
& ( ~ in(esk4_2(X53,X54),X54)
| ~ in(esk4_2(X53,X54),X56)
| ~ in(X56,X53)
| X54 = union(X53) )
& ( in(esk4_2(X53,X54),esk5_2(X53,X54))
| in(esk4_2(X53,X54),X54)
| X54 = union(X53) )
& ( in(esk5_2(X53,X54),X53)
| in(esk4_2(X53,X54),X54)
| X54 = union(X53) ) ),
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)],[d4_tarski])])])])])]) ).
fof(i_0_15,negated_conjecture,
~ subset(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_10])])]) ).
fof(i_0_16,plain,
! [X32,X33,X34,X35,X36] :
( ( ~ subset(X32,X33)
| ~ in(X34,X32)
| in(X34,X33) )
& ( in(esk1_2(X35,X36),X35)
| subset(X35,X36) )
& ( ~ in(esk1_2(X35,X36),X36)
| subset(X35,X36) ) ),
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)],[d3_tarski])])])])])]) ).
fof(i_0_17,plain,
! [X28,X29] :
( ~ in(X28,X29)
| ~ in(X29,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_11])]) ).
fof(i_0_18,plain,
! [X30,X31] : set_intersection2(X30,X31) = set_intersection2(X31,X30),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(i_0_19,plain,
! [X58] : set_intersection2(X58,X58) = X58,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])]) ).
fof(i_0_20,plain,
! [X61] : subset(X61,X61),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_21,plain,
~ empty(esk7_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_12])]) ).
fof(i_0_22,plain,
empty(esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_23,plain,
( X3 = set_intersection2(X1,X2)
| ~ in(esk2_3(X1,X2,X3),X3)
| ~ in(esk2_3(X1,X2,X3),X1)
| ~ in(esk2_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_24,plain,
( in(esk2_3(X1,X2,X3),X1)
| in(esk2_3(X1,X2,X3),X3)
| X3 = set_intersection2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_25,plain,
( in(esk2_3(X1,X2,X3),X2)
| in(esk2_3(X1,X2,X3),X3)
| X3 = set_intersection2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_26,plain,
( X2 = union(X1)
| ~ in(esk4_2(X1,X2),X2)
| ~ in(esk4_2(X1,X2),X3)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_27,negated_conjecture,
~ subset(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_28,plain,
( in(esk3_3(X1,X2,X3),X1)
| ~ in(X3,X2)
| X2 != union(X1) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_29,plain,
( in(X1,esk3_3(X2,X3,X1))
| ~ in(X1,X3)
| X3 != union(X2) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_30,plain,
( in(esk4_2(X1,X2),esk5_2(X1,X2))
| in(esk4_2(X1,X2),X2)
| X2 = union(X1) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_31,plain,
( in(esk5_2(X1,X2),X1)
| in(esk4_2(X1,X2),X2)
| X2 = union(X1) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_32,plain,
( in(X1,X4)
| ~ in(X1,X2)
| ~ in(X1,X3)
| X4 != set_intersection2(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_33,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_34,plain,
( in(X1,X4)
| ~ in(X1,X2)
| ~ in(X2,X3)
| X4 != union(X3) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_35,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_36,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_37,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_38,plain,
( in(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_39,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_40,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_41,plain,
set_intersection2(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_42,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_43,plain,
~ empty(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_21]),
[final] ).
cnf(i_0_44,plain,
empty(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_22]),
[final] ).
cnf(i_0_45,axiom,
X1 = X1 ).
cnf(i_0_46,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_47,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_48,axiom,
( X1 != X2
| set_intersection2(X1,X3) = set_intersection2(X2,X3) ) ).
cnf(i_0_49,axiom,
( X1 != X2
| set_intersection2(X3,X1) = set_intersection2(X3,X2) ) ).
cnf(i_0_50,axiom,
( X1 != X2
| union(X1) = union(X2) ) ).
cnf(i_0_51,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_52,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_53,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_54,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_55,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_297,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_325,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_367,plain,
set_intersection2(union(set_intersection2(X1,X1)),X2) = set_intersection2(union(X1),X2),
inference(scs_inference,[],[i_0_346,i_0_48]) ).
cnf(i_0_368,plain,
set_intersection2(X1,union(set_intersection2(X2,X2))) = set_intersection2(X1,union(X2)),
inference(scs_inference,[],[i_0_346,i_0_48,i_0_49]) ).
cnf(i_0_369,plain,
union(union(set_intersection2(X1,X1))) = union(union(X1)),
inference(scs_inference,[],[i_0_346,i_0_48,i_0_49,i_0_50]) ).
cnf(i_0_381,plain,
union(set_intersection2(X1,X1)) = union(X1),
inference(rename_variables,[],[i_0_346]) ).
cnf(i_0_383,plain,
set_intersection2(X1,set_intersection2(X2,X3)) = set_intersection2(X1,set_intersection2(X3,X2)),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_394,plain,
set_intersection2(set_intersection2(X1,X2),X3) = set_intersection2(set_intersection2(X2,X1),X3),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_396,plain,
set_intersection2(set_intersection2(X1,X2),X3) = set_intersection2(set_intersection2(X2,X1),X3),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_404,plain,
union(set_intersection2(X1,set_intersection2(X2,X2))) = union(set_intersection2(X1,X2)),
inference(scs_inference,[],[i_0_385,i_0_386,i_0_48,i_0_49,i_0_50]) ).
cnf(i_0_407,plain,
set_intersection2(set_intersection2(X1,X1),X2) = set_intersection2(X1,X2),
inference(rename_variables,[],[i_0_385]) ).
cnf(i_0_410,plain,
union(set_intersection2(set_intersection2(X1,X1),X2)) = union(set_intersection2(X1,X2)),
inference(rename_variables,[],[i_0_387]) ).
cnf(i_0_415,plain,
set_intersection2(X1,set_intersection2(X2,X2)) = set_intersection2(X1,X2),
inference(rename_variables,[],[i_0_386]) ).
cnf(i_0_427,plain,
set_intersection2(X1,set_intersection2(X2,X2)) = set_intersection2(X1,X2),
inference(rename_variables,[],[i_0_386]) ).
cnf(i_0_448,plain,
set_intersection2(set_intersection2(X1,X1),X2) = set_intersection2(X1,X2),
inference(rename_variables,[],[i_0_385]) ).
cnf(i_0_461,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_487,plain,
set_intersection2(X1,set_intersection2(X2,X3)) = set_intersection2(X1,set_intersection2(X3,X2)),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_496,plain,
set_intersection2(set_intersection2(X1,X2),X3) = set_intersection2(set_intersection2(X2,X1),X3),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_516,plain,
union(set_intersection2(set_intersection2(X1,X1),X2)) = union(set_intersection2(X1,X2)),
inference(rename_variables,[],[i_0_387]) ).
cnf(i_0_518,plain,
union(set_intersection2(X1,X1)) = union(X1),
inference(rename_variables,[],[i_0_346]) ).
cnf(i_0_522,plain,
set_intersection2(X1,set_intersection2(X2,X3)) = set_intersection2(X1,set_intersection2(X3,X2)),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_550,plain,
set_intersection2(X1,set_intersection2(X2,X3)) = set_intersection2(X1,set_intersection2(X3,X2)),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_569,plain,
union(set_intersection2(set_intersection2(X1,X1),X2)) = union(set_intersection2(X1,X2)),
inference(rename_variables,[],[i_0_387]) ).
cnf(i_0_584,plain,
set_intersection2(set_intersection2(X1,X1),X2) = set_intersection2(X1,X2),
inference(rename_variables,[],[i_0_385]) ).
cnf(i_0_637,plain,
set_intersection2(set_intersection2(X1,X2),X3) = set_intersection2(set_intersection2(X2,X1),X3),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_639,plain,
set_intersection2(set_intersection2(X1,X2),X3) = set_intersection2(set_intersection2(X2,X1),X3),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_746,plain,
set_intersection2(set_intersection2(X1,X1),X2) = set_intersection2(X1,X2),
inference(rename_variables,[],[i_0_385]) ).
cnf(i_0_748,plain,
union(set_intersection2(X1,X1)) = union(X1),
inference(rename_variables,[],[i_0_346]) ).
cnf(i_0_751,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_797,plain,
set_intersection2(set_intersection2(X1,X2),X3) = set_intersection2(set_intersection2(X2,X1),X3),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_799,plain,
set_intersection2(X1,set_intersection2(X2,X2)) = set_intersection2(X1,X2),
inference(rename_variables,[],[i_0_386]) ).
cnf(i_0_819,plain,
set_intersection2(X1,set_intersection2(X2,X2)) = set_intersection2(X1,X2),
inference(rename_variables,[],[i_0_386]) ).
cnf(i_0_821,plain,
set_intersection2(set_intersection2(X1,X1),X2) = set_intersection2(X1,X2),
inference(rename_variables,[],[i_0_385]) ).
cnf(i_0_846,plain,
set_intersection2(set_intersection2(X1,X1),X2) = set_intersection2(X1,X2),
inference(rename_variables,[],[i_0_385]) ).
cnf(i_0_902,plain,
set_intersection2(X1,set_intersection2(X2,X3)) = set_intersection2(X1,set_intersection2(X3,X2)),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_908,plain,
set_intersection2(set_intersection2(X1,X2),X3) = set_intersection2(set_intersection2(X2,X1),X3),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_932,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_979,plain,
union(set_intersection2(set_intersection2(X1,X1),X2)) = union(set_intersection2(X1,X2)),
inference(rename_variables,[],[i_0_387]) ).
cnf(i_0_986,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_998,plain,
set_intersection2(X1,set_intersection2(X2,X3)) = set_intersection2(X1,set_intersection2(X3,X2)),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_1011,plain,
set_intersection2(set_intersection2(X1,X2),X3) = set_intersection2(set_intersection2(X2,X1),X3),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_1025,plain,
union(set_intersection2(X1,X1)) = union(X1),
inference(rename_variables,[],[i_0_346]) ).
cnf(i_0_1041,plain,
set_intersection2(set_intersection2(X1,X1),X2) = set_intersection2(X1,X2),
inference(rename_variables,[],[i_0_385]) ).
cnf(i_0_1111,plain,
set_intersection2(X1,set_intersection2(X2,X3)) = set_intersection2(X1,set_intersection2(X3,X2)),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_1113,plain,
set_intersection2(X1,set_intersection2(X2,X2)) = set_intersection2(X1,X2),
inference(rename_variables,[],[i_0_386]) ).
cnf(i_0_1135,plain,
set_intersection2(X1,set_intersection2(X2,X2)) = set_intersection2(X1,X2),
inference(rename_variables,[],[i_0_386]) ).
cnf(i_0_1152,plain,
set_intersection2(set_intersection2(X1,X2),X3) = set_intersection2(set_intersection2(X2,X1),X3),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_1208,plain,
set_intersection2(X1,set_intersection2(X2,X3)) = set_intersection2(X1,set_intersection2(X3,X2)),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_1252,plain,
set_intersection2(X1,set_intersection2(X2,X2)) = set_intersection2(X1,X2),
inference(rename_variables,[],[i_0_386]) ).
cnf(i_0_1276,plain,
set_intersection2(set_intersection2(X1,X2),X3) = set_intersection2(set_intersection2(X2,X1),X3),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_1347,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_1355,plain,
set_intersection2(set_intersection2(X1,X2),X3) = set_intersection2(set_intersection2(X2,X1),X3),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_1399,plain,
set_intersection2(set_intersection2(X1,X1),X2) = set_intersection2(X1,X2),
inference(rename_variables,[],[i_0_385]) ).
cnf(i_0_1439,plain,
X1 = set_intersection2(X1,X1),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_1470,plain,
set_intersection2(set_intersection2(X1,X2),X3) = set_intersection2(set_intersection2(X2,X1),X3),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_78,plain,
~ in(X1,set_intersection2(set_intersection2(union(X1),union(X1)),X2)),
inference(scs_inference,[],[i_0_73,i_0_60]) ).
cnf(i_0_80,plain,
~ in(X1,set_intersection2(X2,set_intersection2(union(X1),union(X1)))),
inference(scs_inference,[],[i_0_73,i_0_60,i_0_61]) ).
cnf(i_0_82,plain,
~ subset(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk9_0),union(esk8_0))),
inference(scs_inference,[],[i_0_27,i_0_40,i_0_73,i_0_60,i_0_61,i_0_54]) ).
cnf(i_0_84,plain,
set_intersection2(X1,X2) = set_intersection2(set_intersection2(X2,X1),set_intersection2(X2,X1)),
inference(scs_inference,[],[i_0_27,i_0_40,i_0_83,i_0_62,i_0_73,i_0_60,i_0_61,i_0_54,i_0_47]) ).
cnf(i_0_86,plain,
~ in(X1,union(X1)),
inference(scs_inference,[],[i_0_27,i_0_40,i_0_83,i_0_62,i_0_73,i_0_60,i_0_61,i_0_54,i_0_47,i_0_32]) ).
cnf(i_0_92,plain,
~ in(set_intersection2(X1,X2),union(set_intersection2(X2,X1))),
inference(scs_inference,[],[i_0_27,i_0_40,i_0_83,i_0_87,i_0_62,i_0_73,i_0_41,i_0_60,i_0_61,i_0_54,i_0_47,i_0_32,i_0_29,i_0_51]) ).
cnf(i_0_97,plain,
~ in(X1,set_intersection2(union(X1),union(X1))),
inference(rename_variables,[],[i_0_73]) ).
cnf(i_0_113,plain,
~ in(X1,set_intersection2(union(X1),union(X1))),
inference(rename_variables,[],[i_0_73]) ).
cnf(i_0_300,plain,
union(union(X1)) = union(union(set_intersection2(X1,X1))),
inference(scs_inference,[],[i_0_283,i_0_50]) ).
cnf(i_0_301,plain,
set_intersection2(union(X1),X2) = set_intersection2(union(set_intersection2(X1,X1)),X2),
inference(scs_inference,[],[i_0_283,i_0_50,i_0_48]) ).
cnf(i_0_302,plain,
set_intersection2(X1,union(X2)) = set_intersection2(X1,union(set_intersection2(X2,X2))),
inference(scs_inference,[],[i_0_283,i_0_50,i_0_48,i_0_49]) ).
cnf(i_0_305,plain,
set_intersection2(X1,X2) = set_intersection2(set_intersection2(X1,X1),X2),
inference(rename_variables,[],[i_0_284]) ).
cnf(i_0_307,plain,
set_intersection2(X1,X2) = set_intersection2(set_intersection2(X1,X1),X2),
inference(rename_variables,[],[i_0_284]) ).
cnf(i_0_309,plain,
set_intersection2(X1,X2) = set_intersection2(set_intersection2(X1,X1),X2),
inference(rename_variables,[],[i_0_284]) ).
cnf(i_0_311,plain,
union(X1) = union(set_intersection2(X1,X1)),
inference(rename_variables,[],[i_0_283]) ).
cnf(c_0_50,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X4,X2) ),
i_0_36 ).
cnf(c_0_51,plain,
( in(esk3_3(X1,X2,X3),X1)
| ~ in(X3,X2)
| X2 != union(X1) ),
i_0_28 ).
cnf(c_0_52,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ in(X3,X4)
| X2 != union(X4) ),
i_0_34 ).
cnf(c_0_53,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X3,X2)) ),
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_54,plain,
( in(esk3_3(X1,union(X1),X2),X1)
| ~ in(X2,union(X1)) ),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_55,plain,
( in(X1,union(X2))
| ~ in(X3,X2)
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_52]) ).
cnf(c_0_56,plain,
( in(esk3_3(set_intersection2(X1,X2),union(set_intersection2(X1,X2)),X3),X2)
| ~ in(X3,union(set_intersection2(X1,X2))) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,plain,
( in(X1,esk3_3(X2,X3,X1))
| ~ in(X1,X3)
| X3 != union(X2) ),
i_0_29 ).
cnf(c_0_58,negated_conjecture,
~ subset(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),
i_0_27 ).
cnf(c_0_59,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
i_0_33 ).
cnf(c_0_60,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ in(X1,X4)
| X2 != set_intersection2(X3,X4) ),
i_0_32 ).
cnf(c_0_61,plain,
( in(X1,union(X2))
| ~ in(X1,esk3_3(set_intersection2(X3,X2),union(set_intersection2(X3,X2)),X4))
| ~ in(X4,union(set_intersection2(X3,X2))) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_62,plain,
( in(X1,esk3_3(X2,union(X2),X1))
| ~ in(X1,union(X2)) ),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_63,plain,
( in(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
i_0_38 ).
cnf(c_0_64,negated_conjecture,
~ in(esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),set_intersection2(union(esk8_0),union(esk9_0))),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,plain,
( in(X1,set_intersection2(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_60]) ).
cnf(c_0_66,plain,
( in(X1,union(X2))
| ~ in(X1,union(set_intersection2(X3,X2))) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,negated_conjecture,
in(esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),union(set_intersection2(esk8_0,esk9_0))),
inference(spm,[status(thm)],[c_0_58,c_0_63]) ).
cnf(c_0_68,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
i_0_40 ).
cnf(c_0_69,negated_conjecture,
( ~ in(esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),union(esk9_0))
| ~ in(esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),union(esk8_0)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
in(esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),union(esk9_0)),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,plain,
( in(X1,union(X2))
| ~ in(X1,union(set_intersection2(X2,X3))) ),
inference(spm,[status(thm)],[c_0_66,c_0_68]) ).
cnf(c_0_72,negated_conjecture,
~ in(esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),union(esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]) ).
cnf(c_0_73,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_67]),c_0_72]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET944+1 : TPTP v9.2.1. Released v3.2.0.
% 0.10/0.12 % 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
% 0.16/0.33 % Computer : n031.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 02:41:54 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 203.13/135.84 % Version : CSE_E---1.7
% 203.13/135.84 % Problem : theBenchmark.p
% 203.13/135.84 % SZS status Theorem for theBenchmark.p
% 203.13/135.84 % SZS output start CNFRefutation
% See solution above
% 204.63/137.39 % Total time : 133.731s
%------------------------------------------------------------------------------