%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET906+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 : n013.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 05:08:56 PM UTC 2026
% Result : Theorem 0.39s 1.62s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 38)
% Comments :
%------------------------------------------------------------------------------
fof(t47_zfmisc_1,conjecture,
! [X1,X2,X3] :
( subset(set_union2(unordered_pair(X1,X2),X3),X3)
=> in(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_zfmisc_1) ).
fof(fc2_xboole_0,axiom,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_xboole_0) ).
fof(fc3_xboole_0,axiom,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_xboole_0) ).
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(d2_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_union2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
| in(X4,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_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/sandbox2/benchmark/theBenchmark.p',d2_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_k2_xboole_0,axiom,
! [X1,X2] : set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(idempotence_k2_xboole_0,axiom,
! [X1,X2] : set_union2(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k2_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_13,negated_conjecture,
~ ! [X1,X2,X3] :
( subset(set_union2(unordered_pair(X1,X2),X3),X3)
=> in(X1,X3) ),
inference(assume_negation,[status(cth)],[t47_zfmisc_1]) ).
fof(i_0_14,plain,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc2_xboole_0]) ).
fof(i_0_15,plain,
! [X1,X2] :
( ~ empty(X1)
=> ~ empty(set_union2(X2,X1)) ),
inference(fof_simplification,[status(thm)],[fc3_xboole_0]) ).
fof(i_0_16,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_17,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_18,plain,
! [X50,X51,X52,X53,X54,X55,X56,X57] :
( ( ~ in(X53,X52)
| in(X53,X50)
| in(X53,X51)
| X52 != set_union2(X50,X51) )
& ( ~ in(X54,X50)
| in(X54,X52)
| X52 != set_union2(X50,X51) )
& ( ~ in(X54,X51)
| in(X54,X52)
| X52 != set_union2(X50,X51) )
& ( ~ in(esk2_3(X55,X56,X57),X55)
| ~ in(esk2_3(X55,X56,X57),X57)
| X57 = set_union2(X55,X56) )
& ( ~ in(esk2_3(X55,X56,X57),X56)
| ~ in(esk2_3(X55,X56,X57),X57)
| X57 = set_union2(X55,X56) )
& ( in(esk2_3(X55,X56,X57),X57)
| in(esk2_3(X55,X56,X57),X55)
| in(esk2_3(X55,X56,X57),X56)
| X57 = set_union2(X55,X56) ) ),
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_xboole_0])])])])])]) ).
fof(i_0_19,plain,
! [X41,X42,X43,X44,X45,X46,X47,X48] :
( ( ~ in(X44,X43)
| X44 = X41
| X44 = X42
| X43 != unordered_pair(X41,X42) )
& ( X45 != X41
| in(X45,X43)
| X43 != unordered_pair(X41,X42) )
& ( X45 != X42
| in(X45,X43)
| X43 != unordered_pair(X41,X42) )
& ( esk1_3(X46,X47,X48) != X46
| ~ in(esk1_3(X46,X47,X48),X48)
| X48 = unordered_pair(X46,X47) )
& ( esk1_3(X46,X47,X48) != X47
| ~ in(esk1_3(X46,X47,X48),X48)
| X48 = unordered_pair(X46,X47) )
& ( in(esk1_3(X46,X47,X48),X48)
| esk1_3(X46,X47,X48) = X46
| esk1_3(X46,X47,X48) = X47
| X48 = unordered_pair(X46,X47) ) ),
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_20,plain,
! [X59,X60,X61,X62,X63] :
( ( ~ subset(X59,X60)
| ~ in(X61,X59)
| in(X61,X60) )
& ( in(esk3_2(X62,X63),X62)
| subset(X62,X63) )
& ( ~ in(esk3_2(X62,X63),X63)
| subset(X62,X63) ) ),
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_21,negated_conjecture,
( subset(set_union2(unordered_pair(esk6_0,esk7_0),esk8_0),esk8_0)
& ~ in(esk6_0,esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_13])])]) ).
fof(i_0_22,plain,
! [X65,X66] :
( empty(X65)
| ~ empty(set_union2(X65,X66)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_14])]) ).
fof(i_0_23,plain,
! [X67,X68] :
( empty(X67)
| ~ empty(set_union2(X68,X67)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_15])]) ).
fof(i_0_24,plain,
! [X35,X36] :
( ~ in(X35,X36)
| ~ in(X36,X35) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_16])]) ).
fof(i_0_25,plain,
! [X39,X40] : set_union2(X39,X40) = set_union2(X40,X39),
inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0]) ).
fof(i_0_26,plain,
! [X37,X38] : unordered_pair(X37,X38) = unordered_pair(X38,X37),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(i_0_27,plain,
! [X69] : set_union2(X69,X69) = X69,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k2_xboole_0])]) ).
fof(i_0_28,plain,
! [X72] : subset(X72,X72),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_29,plain,
~ empty(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_17])]) ).
fof(i_0_30,plain,
empty(esk4_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_31,plain,
( X3 = set_union2(X1,X2)
| ~ in(esk2_3(X1,X2,X3),X1)
| ~ in(esk2_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_32,plain,
( X3 = set_union2(X1,X2)
| ~ in(esk2_3(X1,X2,X3),X2)
| ~ in(esk2_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_33,plain,
( in(esk2_3(X1,X2,X3),X3)
| in(esk2_3(X1,X2,X3),X1)
| in(esk2_3(X1,X2,X3),X2)
| X3 = set_union2(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_34,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_19]),
[final] ).
cnf(i_0_35,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_19]),
[final] ).
cnf(i_0_36,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_19]),
[final] ).
cnf(i_0_37,plain,
( subset(X1,X2)
| ~ in(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_38,plain,
( in(X1,X3)
| in(X1,X4)
| ~ in(X1,X2)
| X2 != set_union2(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_39,negated_conjecture,
subset(set_union2(unordered_pair(esk6_0,esk7_0),esk8_0),esk8_0),
inference(split_conjunct,[status(thm)],[i_0_21]),
[final] ).
cnf(i_0_40,plain,
( in(X1,X3)
| ~ in(X1,X2)
| X3 != set_union2(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_41,plain,
( in(X1,X3)
| ~ in(X1,X2)
| X3 != set_union2(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_42,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_43,plain,
( in(esk3_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_44,plain,
( empty(X1)
| ~ empty(set_union2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_22]),
[final] ).
cnf(i_0_45,plain,
( empty(X1)
| ~ empty(set_union2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_46,plain,
( X1 = X3
| X1 = X4
| ~ in(X1,X2)
| X2 != unordered_pair(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_47,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_24]),
[final] ).
cnf(i_0_48,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_49,plain,
( in(X1,X3)
| X1 != X2
| X3 != unordered_pair(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_50,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_25]),
[final] ).
cnf(i_0_51,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_26]),
[final] ).
cnf(i_0_52,negated_conjecture,
~ in(esk6_0,esk8_0),
inference(split_conjunct,[status(thm)],[i_0_21]),
[final] ).
cnf(i_0_53,plain,
set_union2(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_27]),
[final] ).
cnf(i_0_54,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_28]),
[final] ).
cnf(i_0_55,plain,
~ empty(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_56,plain,
empty(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_30]),
[final] ).
cnf(i_0_57,axiom,
X1 = X1 ).
cnf(i_0_58,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_59,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_60,axiom,
( X1 != X2
| set_union2(X1,X3) = set_union2(X2,X3) ) ).
cnf(i_0_61,axiom,
( X1 != X2
| set_union2(X3,X1) = set_union2(X3,X2) ) ).
cnf(i_0_62,axiom,
( X1 != X2
| unordered_pair(X1,X3) = unordered_pair(X2,X3) ) ).
cnf(i_0_63,axiom,
( X1 != X2
| unordered_pair(X3,X1) = unordered_pair(X3,X2) ) ).
cnf(i_0_64,axiom,
( X1 != X2
| esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).
cnf(i_0_65,axiom,
( X1 != X2
| esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).
cnf(i_0_66,axiom,
( X1 != X2
| esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).
cnf(i_0_67,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_68,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_69,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_70,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_71,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_57_001,axiom,
X1 = X1 ).
cnf(i_0_58_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_59_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_60_004,axiom,
( X1 != X2
| set_union2(X1,X3) = set_union2(X2,X3) ) ).
cnf(i_0_61_005,axiom,
( X1 != X2
| set_union2(X3,X1) = set_union2(X3,X2) ) ).
cnf(i_0_62_006,axiom,
( X1 != X2
| unordered_pair(X1,X3) = unordered_pair(X2,X3) ) ).
cnf(i_0_63_007,axiom,
( X1 != X2
| unordered_pair(X3,X1) = unordered_pair(X3,X2) ) ).
cnf(i_0_64_008,axiom,
( X1 != X2
| esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).
cnf(i_0_65_009,axiom,
( X1 != X2
| esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).
cnf(i_0_66_010,axiom,
( X1 != X2
| esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).
cnf(i_0_67_011,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_68_012,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_69_013,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_70_014,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_71_015,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_72,plain,
( in(X1,X2)
| in(X1,X3)
| ~ in(X1,set_union2(X2,X3)) ),
inference(equality_inference,[],[38]) ).
cnf(i_0_73,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X2) ),
inference(equality_inference,[],[40]) ).
cnf(i_0_74,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X3) ),
inference(equality_inference,[],[41]) ).
cnf(i_0_75,plain,
( X1 = X2
| X1 = X3
| ~ in(X1,unordered_pair(X2,X3)) ),
inference(equality_inference,[],[46]) ).
cnf(i_0_76,plain,
X1 = set_union2(X1,X1),
inference(scs_inference,[],[i_0_53,i_0_58]) ).
cnf(i_0_77,plain,
in(set_union2(X1,X1),unordered_pair(X2,X1)),
inference(scs_inference,[],[i_0_53,i_0_51,i_0_58,i_0_48]) ).
cnf(i_0_78,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_79,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X2 ),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_80,plain,
in(set_union2(X1,X1),unordered_pair(X1,X2)),
inference(scs_inference,[],[i_0_53,i_0_51,i_0_78,i_0_58,i_0_48,i_0_49]) ).
cnf(i_0_81,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_82,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X3 ),
inference(rename_variables,[],[i_0_49]) ).
cnf(i_0_83,plain,
~ in(set_union2(esk6_0,esk6_0),esk8_0),
inference(scs_inference,[],[i_0_52,i_0_53,i_0_51,i_0_78,i_0_58,i_0_48,i_0_49,i_0_67]) ).
cnf(i_0_84,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_85,plain,
~ in(esk6_0,set_union2(esk8_0,esk8_0)),
inference(scs_inference,[],[i_0_52,i_0_53,i_0_84,i_0_51,i_0_78,i_0_58,i_0_48,i_0_49,i_0_67,i_0_68]) ).
cnf(i_0_86,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_87,plain,
esk4_0 != esk5_0,
inference(scs_inference,[],[i_0_52,i_0_53,i_0_84,i_0_51,i_0_78,i_0_55,i_0_56,i_0_58,i_0_48,i_0_49,i_0_67,i_0_68,i_0_71]) ).
cnf(i_0_88,plain,
~ in(esk6_0,set_union2(set_union2(esk8_0,esk8_0),set_union2(esk8_0,esk8_0))),
inference(scs_inference,[],[i_0_52,i_0_53,i_0_84,i_0_86,i_0_51,i_0_78,i_0_55,i_0_56,i_0_58,i_0_48,i_0_49,i_0_67,i_0_68,i_0_71,i_0_38]) ).
cnf(i_0_89,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_90,plain,
( X1 != set_union2(X2,X3)
| in(X4,X2)
| in(X4,X3)
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_91,plain,
~ in(esk4_0,set_union2(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk5_0))),
inference(scs_inference,[],[i_0_52,i_0_53,i_0_84,i_0_86,i_0_89,i_0_51,i_0_78,i_0_55,i_0_56,i_0_58,i_0_48,i_0_49,i_0_67,i_0_68,i_0_71,i_0_38,i_0_46]) ).
cnf(i_0_92,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_93,plain,
( X1 != unordered_pair(X2,X3)
| X4 = X2
| X4 = X3
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_94,plain,
in(set_union2(esk6_0,esk6_0),set_union2(unordered_pair(X1,esk6_0),X2)),
inference(scs_inference,[],[i_0_52,i_0_53,i_0_84,i_0_86,i_0_89,i_0_51,i_0_78,i_0_55,i_0_56,i_0_58,i_0_48,i_0_49,i_0_67,i_0_68,i_0_71,i_0_38,i_0_46,i_0_73]) ).
cnf(i_0_95,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_73]) ).
cnf(i_0_96,plain,
in(set_union2(esk6_0,esk6_0),set_union2(X1,unordered_pair(X2,esk6_0))),
inference(scs_inference,[],[i_0_52,i_0_53,i_0_84,i_0_86,i_0_89,i_0_51,i_0_78,i_0_55,i_0_56,i_0_58,i_0_48,i_0_49,i_0_67,i_0_68,i_0_71,i_0_38,i_0_46,i_0_73,i_0_74]) ).
cnf(i_0_97,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_74]) ).
cnf(i_0_98,plain,
~ in(unordered_pair(X1,esk6_0),set_union2(esk6_0,esk6_0)),
inference(scs_inference,[],[i_0_52,i_0_53,i_0_84,i_0_86,i_0_89,i_0_51,i_0_78,i_0_55,i_0_56,i_0_58,i_0_48,i_0_49,i_0_67,i_0_68,i_0_71,i_0_38,i_0_46,i_0_73,i_0_74,i_0_47]) ).
cnf(i_0_99,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_100,plain,
~ subset(unordered_pair(X1,esk6_0),esk8_0),
inference(scs_inference,[],[i_0_52,i_0_53,i_0_84,i_0_86,i_0_89,i_0_51,i_0_78,i_0_55,i_0_56,i_0_58,i_0_48,i_0_49,i_0_67,i_0_68,i_0_71,i_0_38,i_0_46,i_0_73,i_0_74,i_0_47,i_0_42]) ).
cnf(i_0_101,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_102,plain,
( in(X1,esk6_0)
| ~ in(X1,esk6_0) ),
inference(scs_inference,[],[i_0_52,i_0_53,i_0_84,i_0_86,i_0_89,i_0_51,i_0_78,i_0_55,i_0_56,i_0_58,i_0_48,i_0_49,i_0_67,i_0_68,i_0_71,i_0_38,i_0_46,i_0_73,i_0_74,i_0_47,i_0_42,i_0_40]) ).
cnf(i_0_103,plain,
( X1 != set_union2(X2,X3)
| in(X4,X1)
| ~ in(X4,X2) ),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_104,plain,
( ~ subset(set_union2(unordered_pair(X1,esk6_0),unordered_pair(X1,esk6_0)),esk8_0)
| ~ in(X2,esk6_0) ),
inference(scs_inference,[],[i_0_52,i_0_53,i_0_84,i_0_86,i_0_89,i_0_92,i_0_51,i_0_78,i_0_55,i_0_56,i_0_58,i_0_48,i_0_49,i_0_67,i_0_68,i_0_71,i_0_38,i_0_46,i_0_73,i_0_74,i_0_47,i_0_42,i_0_40,i_0_69]) ).
cnf(i_0_105,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_106,plain,
( ~ subset(unordered_pair(X1,esk6_0),set_union2(esk8_0,esk8_0))
| ~ in(X2,esk6_0) ),
inference(scs_inference,[],[i_0_52,i_0_53,i_0_84,i_0_86,i_0_89,i_0_92,i_0_105,i_0_51,i_0_78,i_0_55,i_0_56,i_0_58,i_0_48,i_0_49,i_0_67,i_0_68,i_0_71,i_0_38,i_0_46,i_0_73,i_0_74,i_0_47,i_0_42,i_0_40,i_0_69,i_0_70]) ).
cnf(i_0_107,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_108,plain,
( ~ in(esk2_3(X1,esk6_0,esk6_0),esk6_0)
| esk6_0 = set_union2(X1,esk6_0) ),
inference(scs_inference,[],[i_0_52,i_0_53,i_0_84,i_0_86,i_0_89,i_0_92,i_0_105,i_0_51,i_0_78,i_0_55,i_0_56,i_0_58,i_0_48,i_0_49,i_0_67,i_0_68,i_0_71,i_0_38,i_0_46,i_0_73,i_0_74,i_0_47,i_0_42,i_0_40,i_0_69,i_0_70,i_0_32]) ).
cnf(i_0_109,plain,
( ~ in(esk2_3(X1,X2,X3),X2)
| ~ in(esk2_3(X1,X2,X3),X3)
| X3 = set_union2(X1,X2) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_110,plain,
( esk4_0 != set_union2(esk5_0,esk5_0)
| ~ in(esk2_3(X1,esk6_0,esk6_0),esk6_0) ),
inference(scs_inference,[],[i_0_52,i_0_53,i_0_84,i_0_86,i_0_89,i_0_92,i_0_105,i_0_107,i_0_51,i_0_78,i_0_55,i_0_56,i_0_58,i_0_48,i_0_49,i_0_67,i_0_68,i_0_71,i_0_38,i_0_46,i_0_73,i_0_74,i_0_47,i_0_42,i_0_40,i_0_69,i_0_70,i_0_32,i_0_59]) ).
cnf(i_0_111,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_112,plain,
( X1 = set_union2(X2,X3)
| in(esk2_3(X2,X3,X1),X1)
| in(esk2_3(X2,X3,X1),X2)
| in(esk2_3(X2,X3,X1),X3) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_113,plain,
( ~ in(esk2_3(X1,esk6_0,esk6_0),esk6_0)
| in(esk2_3(esk5_0,esk5_0,esk4_0),esk5_0)
| in(esk2_3(esk5_0,esk5_0,esk4_0),esk4_0) ),
inference(scs_inference,[],[i_0_52,i_0_53,i_0_84,i_0_86,i_0_89,i_0_92,i_0_105,i_0_107,i_0_51,i_0_78,i_0_55,i_0_56,i_0_58,i_0_48,i_0_49,i_0_67,i_0_68,i_0_71,i_0_38,i_0_46,i_0_73,i_0_74,i_0_47,i_0_42,i_0_40,i_0_69,i_0_70,i_0_32,i_0_59,i_0_33]) ).
cnf(i_0_114,plain,
~ in(unordered_pair(X1,X2),set_union2(X2,X2)),
inference(scs_inference,[],[i_0_77,i_0_47]) ).
cnf(i_0_115,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_116,plain,
in(set_union2(X1,X1),set_union2(unordered_pair(X2,X1),X3)),
inference(scs_inference,[],[i_0_77,i_0_47,i_0_73]) ).
cnf(i_0_117,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_73]) ).
cnf(i_0_118,plain,
in(set_union2(X1,X1),set_union2(X2,unordered_pair(X3,X1))),
inference(scs_inference,[],[i_0_77,i_0_47,i_0_73,i_0_74]) ).
cnf(i_0_119,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_74]) ).
cnf(i_0_120,plain,
~ subset(unordered_pair(esk6_0,X1),esk8_0),
inference(scs_inference,[],[i_0_77,i_0_80,i_0_83,i_0_47,i_0_73,i_0_74,i_0_42]) ).
cnf(i_0_121,plain,
in(set_union2(X1,X1),unordered_pair(X1,X2)),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_122,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_123,plain,
in(set_union2(X1,X2),unordered_pair(X3,set_union2(X2,X1))),
inference(scs_inference,[],[i_0_77,i_0_80,i_0_83,i_0_50,i_0_51,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48]) ).
cnf(i_0_124,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_125,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X2 ),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_126,plain,
in(set_union2(X1,X2),unordered_pair(set_union2(X2,X1),X3)),
inference(scs_inference,[],[i_0_77,i_0_80,i_0_83,i_0_50,i_0_51,i_0_124,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48,i_0_49]) ).
cnf(i_0_127,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_128,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X3 ),
inference(rename_variables,[],[i_0_49]) ).
cnf(i_0_129,plain,
~ in(set_union2(esk6_0,esk6_0),set_union2(set_union2(esk8_0,esk8_0),set_union2(esk8_0,esk8_0))),
inference(scs_inference,[],[i_0_77,i_0_80,i_0_88,i_0_83,i_0_50,i_0_51,i_0_124,i_0_53,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48,i_0_49,i_0_67]) ).
cnf(i_0_130,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_131,plain,
~ in(set_union2(esk6_0,esk6_0),set_union2(esk8_0,esk8_0)),
inference(scs_inference,[],[i_0_77,i_0_80,i_0_88,i_0_83,i_0_50,i_0_51,i_0_124,i_0_53,i_0_130,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48,i_0_49,i_0_67,i_0_68]) ).
cnf(i_0_132,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_133,plain,
~ subset(unordered_pair(X1,esk6_0),set_union2(esk8_0,esk8_0)),
inference(scs_inference,[],[i_0_77,i_0_80,i_0_88,i_0_100,i_0_83,i_0_50,i_0_51,i_0_124,i_0_53,i_0_130,i_0_132,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48,i_0_49,i_0_67,i_0_68,i_0_70]) ).
cnf(i_0_134,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_135,plain,
set_union2(X1,X2) = set_union2(set_union2(X2,X1),set_union2(X2,X1)),
inference(scs_inference,[],[i_0_77,i_0_80,i_0_88,i_0_100,i_0_83,i_0_50,i_0_76,i_0_51,i_0_124,i_0_53,i_0_130,i_0_132,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48,i_0_49,i_0_67,i_0_68,i_0_70,i_0_59]) ).
cnf(i_0_136,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_137,plain,
~ in(esk4_0,unordered_pair(esk5_0,esk5_0)),
inference(scs_inference,[],[i_0_77,i_0_80,i_0_88,i_0_100,i_0_83,i_0_50,i_0_76,i_0_87,i_0_51,i_0_124,i_0_127,i_0_53,i_0_130,i_0_132,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48,i_0_49,i_0_67,i_0_68,i_0_70,i_0_59,i_0_46]) ).
cnf(i_0_138,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_139,plain,
( X1 != unordered_pair(X2,X3)
| X4 = X2
| X4 = X3
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_140,plain,
set_union2(set_union2(X1,X2),set_union2(X1,X2)) = set_union2(X2,X1),
inference(scs_inference,[],[i_0_77,i_0_80,i_0_88,i_0_100,i_0_83,i_0_50,i_0_76,i_0_87,i_0_51,i_0_124,i_0_127,i_0_53,i_0_130,i_0_132,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48,i_0_49,i_0_67,i_0_68,i_0_70,i_0_59,i_0_46,i_0_58]) ).
cnf(i_0_141,plain,
~ subset(unordered_pair(esk6_0,X1),set_union2(esk8_0,esk8_0)),
inference(scs_inference,[],[i_0_77,i_0_80,i_0_88,i_0_100,i_0_83,i_0_50,i_0_76,i_0_87,i_0_51,i_0_124,i_0_127,i_0_138,i_0_53,i_0_130,i_0_132,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48,i_0_49,i_0_67,i_0_68,i_0_70,i_0_59,i_0_46,i_0_58,i_0_69]) ).
cnf(i_0_142,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_143,plain,
~ in(set_union2(unordered_pair(X1,X2),X3),set_union2(X2,X2)),
inference(scs_inference,[],[i_0_116,i_0_47]) ).
cnf(i_0_144,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_145,plain,
in(set_union2(X1,X1),set_union2(unordered_pair(X1,X2),X3)),
inference(scs_inference,[],[i_0_116,i_0_80,i_0_47,i_0_73]) ).
cnf(i_0_146,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(rename_variables,[],[i_0_73]) ).
cnf(i_0_147,plain,
in(set_union2(X1,X1),set_union2(X2,unordered_pair(X1,X3))),
inference(scs_inference,[],[i_0_116,i_0_80,i_0_47,i_0_73,i_0_74]) ).
cnf(i_0_148,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X3,X2)) ),
inference(rename_variables,[],[i_0_74]) ).
cnf(i_0_149,plain,
~ subset(set_union2(unordered_pair(X1,esk6_0),X2),set_union2(esk8_0,esk8_0)),
inference(scs_inference,[],[i_0_116,i_0_131,i_0_80,i_0_47,i_0_73,i_0_74,i_0_42]) ).
cnf(i_0_150,plain,
in(set_union2(X1,X1),set_union2(unordered_pair(X2,X1),X3)),
inference(rename_variables,[],[i_0_116]) ).
cnf(i_0_151,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_152,plain,
unordered_pair(X1,unordered_pair(X2,X3)) != X2,
inference(scs_inference,[],[i_0_116,i_0_131,i_0_80,i_0_114,i_0_53,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48]) ).
cnf(i_0_153,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_154,plain,
~ in(unordered_pair(X1,X2),set_union2(X2,X2)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_155,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X2 ),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_156,plain,
unordered_pair(X1,unordered_pair(X2,X3)) != X3,
inference(scs_inference,[],[i_0_116,i_0_131,i_0_80,i_0_114,i_0_154,i_0_53,i_0_153,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48,i_0_49]) ).
cnf(i_0_157,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_158,plain,
~ in(unordered_pair(X1,X2),set_union2(X2,X2)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_159,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X3 ),
inference(rename_variables,[],[i_0_49]) ).
cnf(i_0_160,plain,
~ in(unordered_pair(X1,X2),set_union2(X1,X1)),
inference(scs_inference,[],[i_0_116,i_0_131,i_0_80,i_0_114,i_0_154,i_0_158,i_0_51,i_0_53,i_0_153,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48,i_0_49,i_0_67]) ).
cnf(i_0_161,plain,
~ in(unordered_pair(X1,X2),set_union2(X2,X2)),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_162,plain,
esk4_0 != set_union2(esk5_0,esk5_0),
inference(scs_inference,[],[i_0_116,i_0_131,i_0_80,i_0_114,i_0_154,i_0_158,i_0_87,i_0_51,i_0_53,i_0_153,i_0_157,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48,i_0_49,i_0_67,i_0_59]) ).
cnf(i_0_163,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_164,plain,
~ subset(set_union2(X1,unordered_pair(X2,esk6_0)),set_union2(esk8_0,esk8_0)),
inference(scs_inference,[],[i_0_116,i_0_131,i_0_80,i_0_50,i_0_114,i_0_154,i_0_158,i_0_87,i_0_51,i_0_53,i_0_153,i_0_157,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48,i_0_49,i_0_67,i_0_59,i_0_69]) ).
cnf(i_0_165,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_166,plain,
unordered_pair(unordered_pair(X1,X2),X3) != X2,
inference(scs_inference,[],[i_0_116,i_0_131,i_0_80,i_0_50,i_0_114,i_0_154,i_0_158,i_0_87,i_0_51,i_0_53,i_0_153,i_0_157,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48,i_0_49,i_0_67,i_0_59,i_0_69,i_0_63]) ).
cnf(i_0_167,plain,
( in(esk2_3(esk5_0,esk5_0,esk4_0),esk4_0)
| in(esk2_3(esk5_0,esk5_0,esk4_0),esk5_0) ),
inference(scs_inference,[],[i_0_116,i_0_131,i_0_80,i_0_50,i_0_114,i_0_154,i_0_158,i_0_87,i_0_51,i_0_53,i_0_153,i_0_157,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48,i_0_49,i_0_67,i_0_59,i_0_69,i_0_63,i_0_33]) ).
cnf(i_0_168,plain,
( X1 = set_union2(X2,X3)
| in(esk2_3(X2,X3,X1),X1)
| in(esk2_3(X2,X3,X1),X2)
| in(esk2_3(X2,X3,X1),X3) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_169,plain,
( in(esk1_3(X1,X2,unordered_pair(X1,unordered_pair(unordered_pair(X1,X2),X3))),unordered_pair(X1,unordered_pair(unordered_pair(X1,X2),X3)))
| esk1_3(X1,X2,unordered_pair(X1,unordered_pair(unordered_pair(X1,X2),X3))) = X1
| esk1_3(X1,X2,unordered_pair(X1,unordered_pair(unordered_pair(X1,X2),X3))) = X2 ),
inference(scs_inference,[],[i_0_116,i_0_131,i_0_80,i_0_50,i_0_114,i_0_154,i_0_158,i_0_87,i_0_51,i_0_53,i_0_153,i_0_157,i_0_47,i_0_73,i_0_74,i_0_42,i_0_48,i_0_49,i_0_67,i_0_59,i_0_69,i_0_63,i_0_36]) ).
cnf(i_0_170,plain,
~ in(unordered_pair(X1,set_union2(X2,X3)),set_union2(X3,X2)),
inference(scs_inference,[],[i_0_123,i_0_47]) ).
cnf(i_0_171,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_172,plain,
~ subset(unordered_pair(X1,esk6_0),set_union2(set_union2(esk8_0,esk8_0),set_union2(esk8_0,esk8_0))),
inference(scs_inference,[],[i_0_77,i_0_123,i_0_129,i_0_47,i_0_42]) ).
cnf(i_0_173,plain,
in(set_union2(X1,X1),unordered_pair(X2,X1)),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_174,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_175,plain,
unordered_pair(unordered_pair(X1,X2),X3) != X1,
inference(scs_inference,[],[i_0_77,i_0_123,i_0_129,i_0_160,i_0_53,i_0_47,i_0_42,i_0_48]) ).
cnf(i_0_176,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_177,plain,
~ in(unordered_pair(X1,X2),set_union2(X1,X1)),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_178,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X2 ),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_179,plain,
~ subset(unordered_pair(esk6_0,X1),set_union2(set_union2(esk8_0,esk8_0),set_union2(esk8_0,esk8_0))),
inference(scs_inference,[],[i_0_77,i_0_123,i_0_129,i_0_141,i_0_160,i_0_140,i_0_53,i_0_47,i_0_42,i_0_48,i_0_70]) ).
cnf(i_0_180,plain,
set_union2(set_union2(X1,X2),set_union2(X1,X2)) = set_union2(X2,X1),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_181,plain,
~ in(unordered_pair(X1,X2),set_union2(set_union2(X1,X1),set_union2(X1,X1))),
inference(scs_inference,[],[i_0_77,i_0_123,i_0_129,i_0_141,i_0_160,i_0_177,i_0_140,i_0_180,i_0_53,i_0_47,i_0_42,i_0_48,i_0_70,i_0_68]) ).
cnf(i_0_182,plain,
~ in(unordered_pair(X1,X2),set_union2(X1,X1)),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_183,plain,
set_union2(set_union2(X1,X2),set_union2(X1,X2)) = set_union2(X2,X1),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_184,plain,
unordered_pair(X1,unordered_pair(X2,X3)) != set_union2(X2,X2),
inference(scs_inference,[],[i_0_77,i_0_123,i_0_129,i_0_141,i_0_160,i_0_177,i_0_152,i_0_140,i_0_180,i_0_53,i_0_176,i_0_47,i_0_42,i_0_48,i_0_70,i_0_68,i_0_59]) ).
cnf(i_0_185,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_186,plain,
~ in(set_union2(set_union2(esk6_0,esk6_0),set_union2(esk6_0,esk6_0)),set_union2(set_union2(esk8_0,esk8_0),set_union2(esk8_0,esk8_0))),
inference(scs_inference,[],[i_0_77,i_0_123,i_0_129,i_0_141,i_0_160,i_0_177,i_0_152,i_0_140,i_0_180,i_0_183,i_0_53,i_0_176,i_0_47,i_0_42,i_0_48,i_0_70,i_0_68,i_0_59,i_0_67]) ).
cnf(i_0_187,plain,
set_union2(set_union2(X1,X2),set_union2(X1,X2)) = set_union2(X2,X1),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_188,plain,
~ in(unordered_pair(X1,unordered_pair(X2,X3)),unordered_pair(X2,X2)),
inference(scs_inference,[],[i_0_77,i_0_123,i_0_129,i_0_141,i_0_160,i_0_177,i_0_152,i_0_140,i_0_180,i_0_183,i_0_51,i_0_53,i_0_176,i_0_47,i_0_42,i_0_48,i_0_70,i_0_68,i_0_59,i_0_67,i_0_46]) ).
cnf(i_0_189,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_190,plain,
( X1 != unordered_pair(X2,X3)
| X4 = X2
| X4 = X3
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_191,plain,
unordered_pair(X1,unordered_pair(X2,X3)) != X2,
inference(rename_variables,[],[i_0_152]) ).
cnf(i_0_192,plain,
unordered_pair(X1,unordered_pair(X2,X3)) != X2,
inference(rename_variables,[],[i_0_152]) ).
cnf(i_0_193,plain,
( in(esk2_3(X1,X2,unordered_pair(X3,unordered_pair(set_union2(X1,X2),X4))),unordered_pair(X3,unordered_pair(set_union2(X1,X2),X4)))
| in(esk2_3(X1,X2,unordered_pair(X3,unordered_pair(set_union2(X1,X2),X4))),X2)
| in(esk2_3(X1,X2,unordered_pair(X3,unordered_pair(set_union2(X1,X2),X4))),X1) ),
inference(scs_inference,[],[i_0_77,i_0_123,i_0_129,i_0_141,i_0_160,i_0_177,i_0_152,i_0_191,i_0_140,i_0_180,i_0_183,i_0_51,i_0_53,i_0_176,i_0_47,i_0_42,i_0_48,i_0_70,i_0_68,i_0_59,i_0_67,i_0_46,i_0_33]) ).
cnf(i_0_194,plain,
~ in(unordered_pair(set_union2(X1,X2),X3),set_union2(X2,X1)),
inference(scs_inference,[],[i_0_126,i_0_47]) ).
cnf(i_0_195,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_196,plain,
~ subset(unordered_pair(set_union2(esk6_0,esk6_0),X1),set_union2(esk8_0,esk8_0)),
inference(scs_inference,[],[i_0_126,i_0_131,i_0_47,i_0_42]) ).
cnf(i_0_197,plain,
in(set_union2(X1,X2),unordered_pair(set_union2(X2,X1),X3)),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_198,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_199,plain,
~ subset(set_union2(X1,unordered_pair(X2,esk6_0)),esk8_0),
inference(scs_inference,[],[i_0_126,i_0_131,i_0_164,i_0_76,i_0_47,i_0_42,i_0_70]) ).
cnf(i_0_200,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_201,plain,
~ subset(unordered_pair(X1,set_union2(esk6_0,esk6_0)),set_union2(esk8_0,esk8_0)),
inference(scs_inference,[],[i_0_126,i_0_131,i_0_164,i_0_76,i_0_51,i_0_47,i_0_42,i_0_70,i_0_69]) ).
cnf(i_0_202,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_203,plain,
~ in(set_union2(set_union2(esk6_0,esk6_0),set_union2(esk6_0,esk6_0)),set_union2(esk8_0,esk8_0)),
inference(scs_inference,[],[i_0_126,i_0_131,i_0_186,i_0_164,i_0_135,i_0_76,i_0_51,i_0_47,i_0_42,i_0_70,i_0_69,i_0_68]) ).
cnf(i_0_204,plain,
set_union2(X1,X2) = set_union2(set_union2(X2,X1),set_union2(X2,X1)),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_205,plain,
unordered_pair(X1,unordered_pair(X2,X3)) != set_union2(X3,X3),
inference(scs_inference,[],[i_0_126,i_0_131,i_0_156,i_0_186,i_0_164,i_0_135,i_0_76,i_0_51,i_0_53,i_0_47,i_0_42,i_0_70,i_0_69,i_0_68,i_0_59]) ).
cnf(i_0_206,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_207,plain,
~ in(unordered_pair(X1,X2),set_union2(set_union2(X2,X2),set_union2(X2,X2))),
inference(scs_inference,[],[i_0_126,i_0_131,i_0_181,i_0_156,i_0_186,i_0_164,i_0_135,i_0_76,i_0_51,i_0_202,i_0_53,i_0_47,i_0_42,i_0_70,i_0_69,i_0_68,i_0_59,i_0_67]) ).
cnf(i_0_208,plain,
~ in(unordered_pair(X1,X2),set_union2(set_union2(X1,X1),set_union2(X1,X1))),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_209,plain,
~ in(unordered_pair(X1,unordered_pair(X2,X3)),unordered_pair(X3,X3)),
inference(scs_inference,[],[i_0_126,i_0_131,i_0_181,i_0_156,i_0_186,i_0_164,i_0_135,i_0_76,i_0_51,i_0_202,i_0_53,i_0_47,i_0_42,i_0_70,i_0_69,i_0_68,i_0_59,i_0_67,i_0_46]) ).
cnf(i_0_210,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_211,plain,
( X1 != unordered_pair(X2,X3)
| X4 = X2
| X4 = X3
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_212,plain,
unordered_pair(X1,unordered_pair(X2,X3)) != X3,
inference(rename_variables,[],[i_0_156]) ).
cnf(i_0_213,plain,
unordered_pair(X1,unordered_pair(X2,X3)) != X3,
inference(rename_variables,[],[i_0_156]) ).
cnf(i_0_214,plain,
( in(esk2_3(X1,X2,unordered_pair(X3,unordered_pair(X4,set_union2(X1,X2)))),unordered_pair(X3,unordered_pair(X4,set_union2(X1,X2))))
| in(esk2_3(X1,X2,unordered_pair(X3,unordered_pair(X4,set_union2(X1,X2)))),X2)
| in(esk2_3(X1,X2,unordered_pair(X3,unordered_pair(X4,set_union2(X1,X2)))),X1) ),
inference(scs_inference,[],[i_0_126,i_0_131,i_0_181,i_0_156,i_0_212,i_0_186,i_0_164,i_0_135,i_0_76,i_0_51,i_0_202,i_0_53,i_0_47,i_0_42,i_0_70,i_0_69,i_0_68,i_0_59,i_0_67,i_0_46,i_0_33]) ).
cnf(i_0_215,plain,
~ in(set_union2(X1,unordered_pair(X2,X3)),set_union2(X3,X3)),
inference(scs_inference,[],[i_0_118,i_0_47]) ).
cnf(i_0_216,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_217,plain,
~ subset(unordered_pair(X1,set_union2(esk6_0,esk6_0)),esk8_0),
inference(scs_inference,[],[i_0_123,i_0_118,i_0_83,i_0_47,i_0_42]) ).
cnf(i_0_218,plain,
in(set_union2(X1,X2),unordered_pair(X3,set_union2(X2,X1))),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_219,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_220,plain,
~ subset(unordered_pair(set_union2(esk6_0,esk6_0),X1),esk8_0),
inference(scs_inference,[],[i_0_123,i_0_118,i_0_83,i_0_196,i_0_76,i_0_47,i_0_42,i_0_70]) ).
cnf(i_0_221,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_222,plain,
~ in(set_union2(set_union2(esk6_0,esk6_0),set_union2(esk6_0,esk6_0)),esk8_0),
inference(scs_inference,[],[i_0_123,i_0_118,i_0_83,i_0_196,i_0_203,i_0_76,i_0_221,i_0_47,i_0_42,i_0_70,i_0_68]) ).
cnf(i_0_223,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_224,plain,
unordered_pair(unordered_pair(X1,X2),X3) != set_union2(X1,X1),
inference(scs_inference,[],[i_0_123,i_0_118,i_0_83,i_0_175,i_0_196,i_0_203,i_0_76,i_0_221,i_0_53,i_0_47,i_0_42,i_0_70,i_0_68,i_0_59]) ).
cnf(i_0_225,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_226,plain,
~ in(set_union2(esk4_0,esk4_0),unordered_pair(esk5_0,esk5_0)),
inference(scs_inference,[],[i_0_123,i_0_118,i_0_83,i_0_175,i_0_196,i_0_203,i_0_76,i_0_221,i_0_137,i_0_53,i_0_225,i_0_47,i_0_42,i_0_70,i_0_68,i_0_59,i_0_67]) ).
cnf(i_0_227,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_228,plain,
~ in(unordered_pair(unordered_pair(X1,X2),X3),unordered_pair(X1,X1)),
inference(scs_inference,[],[i_0_123,i_0_118,i_0_83,i_0_175,i_0_196,i_0_203,i_0_76,i_0_221,i_0_51,i_0_137,i_0_53,i_0_225,i_0_47,i_0_42,i_0_70,i_0_68,i_0_59,i_0_67,i_0_46]) ).
cnf(i_0_229,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_230,plain,
( X1 != unordered_pair(X2,X3)
| X4 = X2
| X4 = X3
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_231,plain,
unordered_pair(unordered_pair(X1,X2),X3) != X1,
inference(rename_variables,[],[i_0_175]) ).
cnf(i_0_232,plain,
unordered_pair(unordered_pair(X1,X2),X3) != X1,
inference(rename_variables,[],[i_0_175]) ).
cnf(i_0_233,plain,
( in(esk2_3(X1,X2,unordered_pair(unordered_pair(set_union2(X1,X2),X3),X4)),unordered_pair(unordered_pair(set_union2(X1,X2),X3),X4))
| in(esk2_3(X1,X2,unordered_pair(unordered_pair(set_union2(X1,X2),X3),X4)),X2)
| in(esk2_3(X1,X2,unordered_pair(unordered_pair(set_union2(X1,X2),X3),X4)),X1) ),
inference(scs_inference,[],[i_0_123,i_0_118,i_0_83,i_0_175,i_0_231,i_0_196,i_0_203,i_0_76,i_0_221,i_0_51,i_0_137,i_0_53,i_0_225,i_0_47,i_0_42,i_0_70,i_0_68,i_0_59,i_0_67,i_0_46,i_0_33]) ).
cnf(i_0_234,plain,
~ in(set_union2(unordered_pair(X1,X2),X3),set_union2(X1,X1)),
inference(scs_inference,[],[i_0_145,i_0_47]) ).
cnf(i_0_235,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_236,plain,
set_union2(esk4_0,esk4_0) != esk5_0,
inference(scs_inference,[],[i_0_145,i_0_226,i_0_51,i_0_47,i_0_49]) ).
cnf(i_0_237,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_238,plain,
( X1 != unordered_pair(X2,X3)
| in(X4,X1)
| X4 != X3 ),
inference(rename_variables,[],[i_0_49]) ).
cnf(i_0_239,plain,
~ subset(set_union2(unordered_pair(esk6_0,X1),X2),set_union2(esk8_0,esk8_0)),
inference(scs_inference,[],[i_0_131,i_0_145,i_0_226,i_0_51,i_0_47,i_0_49,i_0_42]) ).
cnf(i_0_240,plain,
in(set_union2(X1,X1),set_union2(unordered_pair(X1,X2),X3)),
inference(rename_variables,[],[i_0_145]) ).
cnf(i_0_241,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_242,plain,
~ subset(set_union2(unordered_pair(X1,esk6_0),X2),esk8_0),
inference(scs_inference,[],[i_0_131,i_0_145,i_0_149,i_0_226,i_0_76,i_0_51,i_0_47,i_0_49,i_0_42,i_0_70]) ).
cnf(i_0_243,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_244,plain,
~ in(set_union2(unordered_pair(esk6_0,X1),X2),esk6_0),
inference(scs_inference,[],[i_0_131,i_0_145,i_0_149,i_0_226,i_0_76,i_0_243,i_0_51,i_0_47,i_0_49,i_0_42,i_0_70,i_0_68]) ).
cnf(i_0_245,plain,
X1 = set_union2(X1,X1),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_246,plain,
~ in(set_union2(esk4_0,esk4_0),set_union2(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk5_0))),
inference(scs_inference,[],[i_0_131,i_0_145,i_0_149,i_0_226,i_0_76,i_0_243,i_0_51,i_0_91,i_0_53,i_0_47,i_0_49,i_0_42,i_0_70,i_0_68,i_0_67]) ).
cnf(i_0_247,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_248,plain,
~ in(unordered_pair(X1,unordered_pair(X2,X3)),set_union2(unordered_pair(X2,X2),unordered_pair(X2,X2))),
inference(scs_inference,[],[i_0_131,i_0_145,i_0_149,i_0_226,i_0_152,i_0_76,i_0_243,i_0_51,i_0_91,i_0_53,i_0_247,i_0_47,i_0_49,i_0_42,i_0_70,i_0_68,i_0_67,i_0_46]) ).
cnf(i_0_249,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_250,plain,
( X1 != unordered_pair(X2,X3)
| X4 = X2
| X4 = X3
| ~ in(X4,X1) ),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_251,plain,
unordered_pair(X1,unordered_pair(X2,X3)) != X2,
inference(rename_variables,[],[i_0_152]) ).
cnf(i_0_252,plain,
unordered_pair(X1,unordered_pair(X2,X3)) != X2,
inference(rename_variables,[],[i_0_152]) ).
cnf(i_0_254,plain,
~ in(set_union2(X1,unordered_pair(X2,X3)),set_union2(X2,X2)),
inference(scs_inference,[],[i_0_147,i_0_47]) ).
cnf(i_0_255,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_256,plain,
~ subset(unordered_pair(X1,set_union2(esk6_0,esk6_0)),set_union2(set_union2(esk8_0,esk8_0),set_union2(esk8_0,esk8_0))),
inference(scs_inference,[],[i_0_123,i_0_129,i_0_147,i_0_47,i_0_42]) ).
cnf(i_0_257,plain,
in(set_union2(X1,X2),unordered_pair(X3,set_union2(X2,X1))),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_258,plain,
( ~ in(X1,X2)
| in(X1,X3)
| ~ subset(X2,X3) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_259,plain,
~ subset(unordered_pair(set_union2(esk6_0,esk6_0),X1),set_union2(set_union2(esk8_0,esk8_0),set_union2(esk8_0,esk8_0))),
inference(scs_inference,[],[i_0_123,i_0_129,i_0_147,i_0_51,i_0_47,i_0_42,i_0_69]) ).
cnf(i_0_260,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_261,plain,
set_union2(esk4_0,esk4_0) != set_union2(esk5_0,esk5_0),
inference(scs_inference,[],[i_0_123,i_0_129,i_0_147,i_0_236,i_0_51,i_0_53,i_0_47,i_0_42,i_0_69,i_0_59]) ).
cnf(i_0_262,plain,
set_union2(X1,X1) = X1,
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_263,plain,
$false,
inference(scs_inference,[],[i_0_39,i_0_123,i_0_129,i_0_147,i_0_239,i_0_236,i_0_76,i_0_51,i_0_53,i_0_47,i_0_42,i_0_69,i_0_59,i_0_70]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET906+1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % 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
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 5 02:40:11 EDT 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % start to proof: theBenchmark
% 0.39/1.62 % Version : CSE_E---1.7
% 0.39/1.62 % Problem : theBenchmark.p
% 0.39/1.62 % SZS status Theorem for theBenchmark.p
% 0.39/1.62 % SZS output start CNFRefutation
% See solution above
% 0.80/2.02 % Total time : 1.270s
%------------------------------------------------------------------------------