%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET671+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:14:56 PM UTC 2026
% Result : Theorem 115.84s 17.31s
% Output : CNFRefutation 115.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 121 ( 18 unt; 0 def)
% Number of atoms : 541 ( 28 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 710 ( 290 ~; 303 |; 42 &)
% ( 12 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 6 con; 0-4 aty)
% Number of variables : 286 ( 23 sgn 105 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p22,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> relation_like(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(p27,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).
fof(p4,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ilf_type(X4,subset_type(cross_product(X1,X2))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> ilf_type(X3,relation_type(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
fof(p2,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,binary_relation_type)
=> ( member(ordered_pair(X2,X3),restrict(X4,X1))
<=> ( member(ordered_pair(X2,X3),X4)
& member(X2,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(p21,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( relation_like(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X1)
=> ? [X3] :
( ? [X4] :
( X2 = ordered_pair(X3,X4)
& ilf_type(X4,set_type) )
& ilf_type(X3,set_type) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21) ).
fof(p26,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ! [X4] :
( ilf_type(X4,set_type)
=> ilf_type(restrict4(X1,X2,X3,X4),relation_type(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26) ).
fof(p6,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X1,X2)
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> member(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
fof(p25,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ! [X4] :
( ilf_type(X4,set_type)
=> restrict4(X1,X2,X3,X4) = restrict(X3,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25) ).
fof(p10,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,binary_relation_type)
<=> ( ilf_type(X1,set_type)
& relation_like(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).
fof(prove_relset_1_34,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X2,X1))
=> ( subset(X2,X3)
=> restrict4(X2,X1,X4,X3) = X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_34) ).
fof(p19,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ( ilf_type(X2,set_type)
& ~ empty(X2) )
=> ( ilf_type(X1,member_type(X2))
<=> member(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
fof(p18,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(power_set(X1),set_type)
& ~ empty(power_set(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18) ).
fof(p12,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ilf_type(X2,subset_type(X1))
<=> ilf_type(X2,member_type(power_set(X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).
fof(p23,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).
fof(p17,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X1,power_set(X2))
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> member(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( X1 = X2
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,set_type)
=> ( member(ordered_pair(X3,X4),X1)
<=> member(ordered_pair(X3,X4),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(p3,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,set_type)
=> ! [X5] :
( ilf_type(X5,relation_type(X1,X2))
=> ( member(ordered_pair(X3,X4),X5)
=> ( member(X4,X2)
& member(X3,X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(c_0_17,plain,
! [X64,X65,X66] :
( relation_like(X66)
| ~ ilf_type(X66,subset_type(cross_product(X64,X65)))
| ~ ilf_type(X65,set_type)
| ~ ilf_type(X64,set_type) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p22])])])]) ).
fof(c_0_18,plain,
! [X79] : ilf_type(X79,set_type),
inference(variable_rename,[status(thm)],[p27]) ).
fof(c_0_19,plain,
! [X21,X22,X23,X24] :
( ( ~ ilf_type(X21,set_type)
| ~ ilf_type(X22,set_type)
| ilf_type(X24,subset_type(cross_product(X21,X22)))
| ~ ilf_type(X24,relation_type(X21,X22)) )
& ( ~ ilf_type(X21,set_type)
| ~ ilf_type(X22,set_type)
| ilf_type(X23,relation_type(X21,X22))
| ~ ilf_type(X23,subset_type(cross_product(X21,X22))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p4])])])])]) ).
fof(c_0_20,plain,
! [X12,X13,X14,X15] :
( ( ~ ilf_type(X12,set_type)
| ~ ilf_type(X13,set_type)
| ~ ilf_type(X14,set_type)
| ~ ilf_type(X15,binary_relation_type)
| member(ordered_pair(X13,X14),restrict(X15,X12))
| ~ member(ordered_pair(X13,X14),X15)
| ~ member(X13,X12) )
& ( ~ ilf_type(X12,set_type)
| ~ ilf_type(X13,set_type)
| ~ ilf_type(X14,set_type)
| ~ ilf_type(X15,binary_relation_type)
| ~ member(ordered_pair(X13,X14),restrict(X15,X12))
| member(ordered_pair(X13,X14),X15) )
& ( ~ ilf_type(X12,set_type)
| ~ ilf_type(X13,set_type)
| ~ ilf_type(X14,set_type)
| ~ ilf_type(X15,binary_relation_type)
| ~ member(ordered_pair(X13,X14),restrict(X15,X12))
| member(X13,X12) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])])])]) ).
fof(c_0_21,plain,
! [X57,X58,X62,X63] :
( ( ~ ilf_type(X57,set_type)
| relation_like(X57)
| esk11_1(X57) != ordered_pair(X62,X63)
| ~ ilf_type(X63,set_type)
| ~ ilf_type(X62,set_type) )
& ( ~ ilf_type(X57,set_type)
| relation_like(X57)
| member(esk11_1(X57),X57) )
& ( ~ ilf_type(X57,set_type)
| relation_like(X57)
| ilf_type(esk11_1(X57),set_type) )
& ( ~ ilf_type(X57,set_type)
| ~ relation_like(X57)
| ~ ilf_type(X58,set_type)
| ~ member(X58,X57)
| X58 = ordered_pair(esk9_2(X57,X58),esk10_2(X57,X58)) )
& ( ~ ilf_type(X57,set_type)
| ~ relation_like(X57)
| ~ ilf_type(X58,set_type)
| ~ member(X58,X57)
| ilf_type(esk10_2(X57,X58),set_type) )
& ( ~ ilf_type(X57,set_type)
| ~ relation_like(X57)
| ~ ilf_type(X58,set_type)
| ~ member(X58,X57)
| ilf_type(esk9_2(X57,X58),set_type) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p21])])])])])]) ).
cnf(c_0_22,plain,
( ~ ilf_type(X3,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| relation_like(X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,relation_type(X2,X3))
| ilf_type(X1,subset_type(cross_product(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_25,plain,
! [X75,X76,X77,X78] :
( ilf_type(restrict4(X75,X76,X77,X78),relation_type(X75,X76))
| ~ ilf_type(X78,set_type)
| ~ ilf_type(X77,relation_type(X75,X76))
| ~ ilf_type(X76,set_type)
| ~ ilf_type(X75,set_type) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p26])])])]) ).
cnf(c_0_26,plain,
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ member(ordered_pair(X1,X2),restrict(X3,X4))
| member(ordered_pair(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( ~ ilf_type(X2,set_type)
| ~ relation_like(X2)
| ~ ilf_type(X1,set_type)
| ~ member(X1,X2)
| X1 = ordered_pair(esk9_2(X2,X1),esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_28,plain,
! [X28,X29,X30] :
( ( ~ ilf_type(X28,set_type)
| ~ ilf_type(X29,set_type)
| subset(X28,X29)
| ~ member(esk4_2(X28,X29),X29) )
& ( ~ ilf_type(X28,set_type)
| ~ ilf_type(X29,set_type)
| subset(X28,X29)
| member(esk4_2(X28,X29),X28) )
& ( ~ ilf_type(X28,set_type)
| ~ ilf_type(X29,set_type)
| subset(X28,X29)
| ilf_type(esk4_2(X28,X29),set_type) )
& ( ~ ilf_type(X28,set_type)
| ~ ilf_type(X29,set_type)
| member(X30,X29)
| ~ member(X30,X28)
| ~ ilf_type(X30,set_type)
| ~ subset(X28,X29) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p6])])])])])]) ).
cnf(c_0_29,plain,
( ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
| relation_like(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23])]) ).
cnf(c_0_30,plain,
( ~ ilf_type(X1,relation_type(X2,X3))
| ilf_type(X1,subset_type(cross_product(X2,X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_23]),c_0_23])]) ).
cnf(c_0_31,plain,
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(restrict4(X1,X2,X3,X4),relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_32,plain,
! [X71,X72,X73,X74] :
( restrict4(X71,X72,X73,X74) = restrict(X73,X74)
| ~ ilf_type(X74,set_type)
| ~ ilf_type(X73,relation_type(X71,X72))
| ~ ilf_type(X72,set_type)
| ~ ilf_type(X71,set_type) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p25])])])]) ).
fof(c_0_33,plain,
! [X38] :
( ( ~ ilf_type(X38,set_type)
| ilf_type(X38,binary_relation_type)
| ~ ilf_type(X38,set_type)
| ~ relation_like(X38) )
& ( ~ ilf_type(X38,set_type)
| ~ ilf_type(X38,binary_relation_type)
| ilf_type(X38,set_type) )
& ( ~ ilf_type(X38,set_type)
| ~ ilf_type(X38,binary_relation_type)
| relation_like(X38) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p10])])])]) ).
fof(c_0_34,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X2,X1))
=> ( subset(X2,X3)
=> restrict4(X2,X1,X4,X3) = X4 ) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_34]) ).
cnf(c_0_35,plain,
( ~ ilf_type(X3,binary_relation_type)
| ~ member(ordered_pair(X1,X2),restrict(X3,X4))
| member(ordered_pair(X1,X2),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_23]),c_0_23]),c_0_23])]) ).
cnf(c_0_36,plain,
( ~ member(X2,X1)
| ~ relation_like(X1)
| ordered_pair(esk9_2(X1,X2),esk10_2(X1,X2)) = X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_23]),c_0_23])]) ).
cnf(c_0_37,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| subset(X1,X2)
| member(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,plain,
( ~ ilf_type(X1,relation_type(X2,X3))
| relation_like(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_39,plain,
( ~ ilf_type(X3,relation_type(X1,X2))
| ilf_type(restrict4(X1,X2,X3,X4),relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_23]),c_0_23]),c_0_23])]) ).
cnf(c_0_40,plain,
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| restrict4(X1,X2,X3,X4) = restrict(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1)
| ilf_type(X1,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_42,negated_conjecture,
( restrict4(esk14_0,esk13_0,esk16_0,esk15_0) != esk16_0
& subset(esk14_0,esk15_0)
& ilf_type(esk16_0,relation_type(esk14_0,esk13_0))
& ilf_type(esk15_0,set_type)
& ilf_type(esk14_0,set_type)
& ilf_type(esk13_0,set_type) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
fof(c_0_43,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ( ilf_type(X2,set_type)
& ~ empty(X2) )
=> ( ilf_type(X1,member_type(X2))
<=> member(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[p19]) ).
fof(c_0_44,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(power_set(X1),set_type)
& ~ empty(power_set(X1)) ) ),
inference(fof_simplification,[status(thm)],[p18]) ).
cnf(c_0_45,plain,
( ~ ilf_type(X2,binary_relation_type)
| ~ member(X1,X3)
| ~ member(X1,restrict(X2,X4))
| ~ relation_like(X3)
| member(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_46,plain,
( member(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_23]),c_0_23])]) ).
cnf(c_0_47,plain,
( ~ ilf_type(X3,relation_type(X1,X2))
| relation_like(restrict4(X1,X2,X3,X4)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_48,plain,
( ~ ilf_type(X3,relation_type(X1,X2))
| restrict4(X1,X2,X3,X4) = restrict(X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_23]),c_0_23]),c_0_23])]) ).
cnf(c_0_49,plain,
( ~ ilf_type(X1,set_type)
| ~ relation_like(X1)
| ilf_type(X1,binary_relation_type) ),
inference(cn,[status(thm)],[c_0_41]) ).
cnf(c_0_50,negated_conjecture,
ilf_type(esk16_0,relation_type(esk14_0,esk13_0)),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_51,plain,
! [X53,X54] :
( ( ~ ilf_type(X53,set_type)
| ~ ilf_type(X54,set_type)
| empty(X54)
| ilf_type(X53,member_type(X54))
| ~ member(X53,X54) )
& ( ~ ilf_type(X53,set_type)
| ~ ilf_type(X54,set_type)
| empty(X54)
| member(X53,X54)
| ~ ilf_type(X53,member_type(X54)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])])]) ).
fof(c_0_52,plain,
! [X40,X41] :
( ( ~ ilf_type(X40,set_type)
| ~ ilf_type(X41,set_type)
| ilf_type(X41,subset_type(X40))
| ~ ilf_type(X41,member_type(power_set(X40))) )
& ( ~ ilf_type(X40,set_type)
| ~ ilf_type(X41,set_type)
| ilf_type(X41,member_type(power_set(X40)))
| ~ ilf_type(X41,subset_type(X40)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p12])])])])]) ).
fof(c_0_53,plain,
! [X52] :
( ( ~ ilf_type(X52,set_type)
| ilf_type(power_set(X52),set_type) )
& ( ~ ilf_type(X52,set_type)
| ~ empty(power_set(X52)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).
fof(c_0_54,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[p23]) ).
cnf(c_0_55,plain,
( ~ ilf_type(X1,binary_relation_type)
| ~ member(esk4_2(restrict(X1,X2),X3),X4)
| ~ relation_like(X4)
| member(esk4_2(restrict(X1,X2),X3),X1)
| subset(restrict(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_56,plain,
( ~ ilf_type(X1,relation_type(X3,X4))
| relation_like(restrict(X1,X2)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,plain,
( ~ relation_like(X1)
| ilf_type(X1,binary_relation_type) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_23])]) ).
cnf(c_0_58,negated_conjecture,
relation_like(esk16_0),
inference(spm,[status(thm)],[c_0_38,c_0_50]) ).
fof(c_0_59,plain,
! [X48,X49,X50] :
( ( ~ ilf_type(X48,set_type)
| ~ ilf_type(X49,set_type)
| member(X48,power_set(X49))
| ~ member(esk7_2(X48,X49),X49) )
& ( ~ ilf_type(X48,set_type)
| ~ ilf_type(X49,set_type)
| member(X48,power_set(X49))
| member(esk7_2(X48,X49),X48) )
& ( ~ ilf_type(X48,set_type)
| ~ ilf_type(X49,set_type)
| member(X48,power_set(X49))
| ilf_type(esk7_2(X48,X49),set_type) )
& ( ~ ilf_type(X48,set_type)
| ~ ilf_type(X49,set_type)
| member(X50,X49)
| ~ member(X50,X48)
| ~ ilf_type(X50,set_type)
| ~ member(X48,power_set(X49)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p17])])])])])]) ).
cnf(c_0_60,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,member_type(X2))
| empty(X2)
| member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_61,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,subset_type(X2))
| ilf_type(X1,member_type(power_set(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_62,plain,
( ~ ilf_type(X1,set_type)
| ~ empty(power_set(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_63,plain,
! [X67,X68] :
( ( ~ ilf_type(X67,set_type)
| empty(X67)
| member(esk12_1(X67),X67) )
& ( ~ ilf_type(X67,set_type)
| empty(X67)
| ilf_type(esk12_1(X67),set_type) )
& ( ~ ilf_type(X67,set_type)
| ~ member(X68,X67)
| ~ ilf_type(X68,set_type)
| ~ empty(X67) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])])])]) ).
cnf(c_0_64,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(esk4_2(X1,X2),X2)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_65,plain,
( ~ ilf_type(X1,binary_relation_type)
| ~ relation_like(restrict(X1,X2))
| member(esk4_2(restrict(X1,X2),X3),X1)
| subset(restrict(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_55,c_0_46]) ).
cnf(c_0_66,negated_conjecture,
relation_like(restrict(esk16_0,X1)),
inference(spm,[status(thm)],[c_0_56,c_0_50]) ).
cnf(c_0_67,negated_conjecture,
ilf_type(esk16_0,binary_relation_type),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_68,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ member(X1,power_set(X2))
| member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_69,plain,
( ~ ilf_type(X2,member_type(X1))
| member(X2,X1)
| empty(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_23]),c_0_23])]) ).
cnf(c_0_70,plain,
( ~ ilf_type(X1,subset_type(X2))
| ilf_type(X1,member_type(power_set(X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_23]),c_0_23])]) ).
cnf(c_0_71,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_23])]) ).
cnf(c_0_72,plain,
( ~ ilf_type(X1,set_type)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_73,plain,
! [X6,X7,X8,X9] :
( ( ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X7,binary_relation_type)
| X6 = X7
| member(ordered_pair(esk1_2(X6,X7),esk2_2(X6,X7)),X7)
| member(ordered_pair(esk1_2(X6,X7),esk2_2(X6,X7)),X6) )
& ( ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X7,binary_relation_type)
| X6 = X7
| ~ member(ordered_pair(esk1_2(X6,X7),esk2_2(X6,X7)),X7)
| ~ member(ordered_pair(esk1_2(X6,X7),esk2_2(X6,X7)),X6) )
& ( ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X7,binary_relation_type)
| X6 = X7
| ilf_type(esk2_2(X6,X7),set_type) )
& ( ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X7,binary_relation_type)
| X6 = X7
| ilf_type(esk1_2(X6,X7),set_type) )
& ( ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X7,binary_relation_type)
| X6 != X7
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X9,set_type)
| member(ordered_pair(X8,X9),X6)
| ~ member(ordered_pair(X8,X9),X7) )
& ( ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X7,binary_relation_type)
| X6 != X7
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X9,set_type)
| member(ordered_pair(X8,X9),X7)
| ~ member(ordered_pair(X8,X9),X6) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])])])])]) ).
cnf(c_0_74,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ subset(X1,X2)
| member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_75,plain,
( ~ member(esk4_2(X1,X2),X2)
| subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_23]),c_0_23])]) ).
cnf(c_0_76,negated_conjecture,
( member(esk4_2(restrict(esk16_0,X1),X2),esk16_0)
| subset(restrict(esk16_0,X1),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).
cnf(c_0_77,plain,
( ~ member(X1,X3)
| ~ member(X3,power_set(X2))
| member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_23]),c_0_23]),c_0_23])]) ).
cnf(c_0_78,plain,
( ~ ilf_type(X1,subset_type(X2))
| member(X1,power_set(X2)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_79,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,member_type(power_set(X2)))
| ilf_type(X1,subset_type(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_80,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X1,X2)
| empty(X2)
| ilf_type(X1,member_type(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_81,plain,
( ~ member(X2,X1)
| ~ empty(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_23]),c_0_23])]) ).
cnf(c_0_82,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(esk7_2(X1,X2),X2)
| member(X1,power_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_83,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| member(X1,power_set(X2))
| member(esk7_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_84,plain,
( ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type)
| X1 = X2
| member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X2)
| member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_85,plain,
( ~ member(X1,X3)
| ~ subset(X3,X2)
| member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_23]),c_0_23]),c_0_23])]) ).
cnf(c_0_86,negated_conjecture,
subset(restrict(esk16_0,X1),esk16_0),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
fof(c_0_87,plain,
! [X16,X17,X18,X19,X20] :
( ( ~ ilf_type(X16,set_type)
| ~ ilf_type(X17,set_type)
| ~ ilf_type(X18,set_type)
| ~ ilf_type(X19,set_type)
| ~ ilf_type(X20,relation_type(X16,X17))
| ~ member(ordered_pair(X18,X19),X20)
| member(X19,X17) )
& ( ~ ilf_type(X16,set_type)
| ~ ilf_type(X17,set_type)
| ~ ilf_type(X18,set_type)
| ~ ilf_type(X19,set_type)
| ~ ilf_type(X20,relation_type(X16,X17))
| ~ member(ordered_pair(X18,X19),X20)
| member(X18,X16) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p3])])])])]) ).
cnf(c_0_88,plain,
( ~ ilf_type(X3,subset_type(X2))
| ~ member(X1,X3)
| member(X1,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_89,plain,
( ~ ilf_type(X1,member_type(power_set(X2)))
| ilf_type(X1,subset_type(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_23]),c_0_23])]) ).
cnf(c_0_90,plain,
( ~ member(X1,X2)
| ilf_type(X1,member_type(X2)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_23]),c_0_23])]),c_0_81]) ).
cnf(c_0_91,plain,
( ~ member(esk7_2(X1,X2),X2)
| member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_23]),c_0_23])]) ).
cnf(c_0_92,plain,
( member(X1,power_set(X2))
| member(esk7_2(X1,X2),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_23]),c_0_23])]) ).
cnf(c_0_93,negated_conjecture,
( ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(esk1_2(X1,esk16_0),esk2_2(X1,esk16_0)),X1)
| member(ordered_pair(esk1_2(X1,esk16_0),esk2_2(X1,esk16_0)),esk16_0)
| X1 = esk16_0 ),
inference(spm,[status(thm)],[c_0_84,c_0_67]) ).
cnf(c_0_94,negated_conjecture,
ilf_type(restrict(esk16_0,X1),binary_relation_type),
inference(spm,[status(thm)],[c_0_57,c_0_66]) ).
cnf(c_0_95,negated_conjecture,
( ~ member(X1,restrict(esk16_0,X2))
| member(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_96,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X2,X5))
| ~ member(ordered_pair(X1,X3),X4)
| member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_97,plain,
( ~ ilf_type(X4,relation_type(X2,X3))
| ~ member(X1,X4)
| member(X1,cross_product(X2,X3)) ),
inference(spm,[status(thm)],[c_0_88,c_0_30]) ).
cnf(c_0_98,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
| ilf_type(X1,relation_type(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_99,plain,
( ~ member(X1,power_set(X2))
| ilf_type(X1,subset_type(X2)) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_100,plain,
member(X1,power_set(X1)),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_101,plain,
( ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X2)
| ~ member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_102,negated_conjecture,
( member(ordered_pair(esk1_2(restrict(esk16_0,X1),esk16_0),esk2_2(restrict(esk16_0,X1),esk16_0)),esk16_0)
| restrict(esk16_0,X1) = esk16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_103,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,binary_relation_type)
| ~ member(ordered_pair(X1,X3),X4)
| ~ member(X1,X2)
| member(ordered_pair(X1,X3),restrict(X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_104,plain,
( ~ ilf_type(X4,relation_type(X2,X5))
| ~ member(ordered_pair(X1,X3),X4)
| member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_23]),c_0_23]),c_0_23]),c_0_23])]) ).
cnf(c_0_105,negated_conjecture,
( ~ member(X1,esk16_0)
| member(X1,cross_product(esk14_0,esk13_0)) ),
inference(spm,[status(thm)],[c_0_97,c_0_50]) ).
cnf(c_0_106,plain,
( ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
| ilf_type(X1,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_23]),c_0_23])]) ).
cnf(c_0_107,plain,
ilf_type(X1,subset_type(X1)),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_108,negated_conjecture,
( ~ member(ordered_pair(esk1_2(restrict(esk16_0,X1),esk16_0),esk2_2(restrict(esk16_0,X1),esk16_0)),restrict(esk16_0,X1))
| restrict(esk16_0,X1) = esk16_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_67]),c_0_94])]) ).
cnf(c_0_109,plain,
( ~ ilf_type(X3,binary_relation_type)
| ~ member(X1,X4)
| ~ member(ordered_pair(X1,X2),X3)
| member(ordered_pair(X1,X2),restrict(X3,X4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_23]),c_0_23]),c_0_23])]) ).
cnf(c_0_110,negated_conjecture,
subset(esk14_0,esk15_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_111,negated_conjecture,
restrict4(esk14_0,esk13_0,esk16_0,esk15_0) != esk16_0,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_112,negated_conjecture,
( ~ ilf_type(cross_product(esk14_0,esk13_0),relation_type(X2,X4))
| ~ member(ordered_pair(X1,X3),esk16_0)
| member(X1,X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_113,plain,
ilf_type(cross_product(X1,X2),relation_type(X1,X2)),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_114,negated_conjecture,
( ~ member(esk1_2(restrict(esk16_0,X1),esk16_0),X1)
| restrict(esk16_0,X1) = esk16_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_67])]),c_0_102]) ).
cnf(c_0_115,negated_conjecture,
( ~ member(X1,esk14_0)
| member(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_110]) ).
cnf(c_0_116,negated_conjecture,
restrict(esk16_0,esk15_0) != esk16_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_48]),c_0_50])]) ).
cnf(c_0_117,negated_conjecture,
( ~ member(ordered_pair(X1,X2),esk16_0)
| member(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_118,negated_conjecture,
~ member(esk1_2(restrict(esk16_0,esk15_0),esk16_0),esk14_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_119,negated_conjecture,
( member(esk1_2(restrict(esk16_0,X1),esk16_0),esk14_0)
| restrict(esk16_0,X1) = esk16_0 ),
inference(spm,[status(thm)],[c_0_117,c_0_102]) ).
cnf(c_0_120,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_116]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET671+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 05:37:29 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 115.84/17.31 % Version: 3.5.1
% 115.84/17.31 % Preprocessing class: FSMSSMSSSSSNFFN.
% 115.84/17.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 115.84/17.31 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 115.84/17.31 % Starting new_bool_3 with 300s (1) cores
% 115.84/17.31 % Starting new_bool_1 with 300s (1) cores
% 115.84/17.31 % Starting sh5l with 300s (1) cores
% 115.84/17.31 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2295958 completed with status 0
% 115.84/17.31 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 115.84/17.31 % Preprocessing class: FSMSSMSSSSSNFFN.
% 115.84/17.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 115.84/17.31 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 115.84/17.31 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 115.84/17.31 % No SInE strategy applied
% 115.84/17.31 % Search class: FGHSF-FFMM31-SFFFFFNN
% 115.84/17.31 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 115.84/17.31 % Starting SubtermCWHack with 136s (1) cores
% 115.84/17.31 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 115.84/17.31 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 115.84/17.31 % Starting new_bool_3 with 136s (1) cores
% 115.84/17.31 % Starting new_bool_1 with 136s (1) cores
% 115.84/17.31 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2295965 completed with status 0
% 115.84/17.31 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 115.84/17.31 % Preprocessing class: FSMSSMSSSSSNFFN.
% 115.84/17.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 115.84/17.31 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 115.84/17.31 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 115.84/17.31 % No SInE strategy applied
% 115.84/17.31 % Search class: FGHSF-FFMM31-SFFFFFNN
% 115.84/17.31 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 115.84/17.31 % Starting SubtermCWHack with 136s (1) cores
% 115.84/17.31 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 115.84/17.31 % Preprocessing time : 0.003 s
% 115.84/17.31 % Presaturation interreduction done
% 115.84/17.31
% 115.84/17.31 % Proof found!
% 115.84/17.31 % SZS status Theorem
% 115.84/17.31 % SZS output start CNFRefutation
% See solution above
% 115.84/17.31 % Parsed axioms : 28
% 115.84/17.31 % Removed by relevancy pruning/SinE : 0
% 115.84/17.31 % Initial clauses : 60
% 115.84/17.31 % Removed in clause preprocessing : 5
% 115.84/17.31 % Initial clauses in saturation : 55
% 115.84/17.31 % Processed clauses : 14511
% 115.84/17.31 % ...of these trivial : 165
% 115.84/17.31 % ...subsumed : 7001
% 115.84/17.31 % ...remaining for further processing : 7345
% 115.84/17.31 % Other redundant clauses eliminated : 1
% 115.84/17.31 % Clauses deleted for lack of memory : 0
% 115.84/17.31 % Backward-subsumed : 1133
% 115.84/17.31 % Backward-rewritten : 348
% 115.84/17.31 % Generated clauses : 351768
% 115.84/17.31 % ...of the previous two non-redundant : 349815
% 115.84/17.31 % ...aggressively subsumed : 0
% 115.84/17.31 % Contextual simplify-reflections : 221
% 115.84/17.31 % Paramodulations : 351640
% 115.84/17.31 % Factorizations : 16
% 115.84/17.31 % NegExts : 0
% 115.84/17.31 % Equation resolutions : 1
% 115.84/17.31 % Disequality decompositions : 0
% 115.84/17.31 % Total rewrite steps : 13279
% 115.84/17.31 % ...of those cached : 12602
% 115.84/17.31 % Propositional unsat checks : 1
% 115.84/17.31 % Propositional check models : 1
% 115.84/17.31 % Propositional check unsatisfiable : 0
% 115.84/17.31 % Propositional clauses : 0
% 115.84/17.31 % Propositional clauses after purity: 0
% 115.84/17.31 % Propositional unsat core size : 0
% 115.84/17.31 % Propositional preprocessing time : 0.000
% 115.84/17.31 % Propositional encoding time : 1.142
% 115.84/17.31 % Propositional solver time : 0.037
% 115.84/17.31 % Success case prop preproc time : 0.000
% 115.84/17.31 % Success case prop encoding time : 0.000
% 115.84/17.31 % Success case prop solver time : 0.000
% 115.84/17.31 % Current number of processed clauses : 5712
% 115.84/17.31 % Positive orientable unit clauses : 729
% 115.84/17.31 % Positive unorientable unit clauses: 0
% 115.84/17.31 % Negative unit clauses : 100
% 115.84/17.31 % Non-unit-clauses : 4883
% 115.84/17.31 % Current number of unprocessed clauses: 329289
% 115.84/17.31 % ...number of literals in the above : 1140383
% 115.84/17.31 % Current number of archived formulas : 0
% 115.84/17.31 % Current number of archived clauses : 1633
% 115.84/17.31 % Clause-clause subsumption calls (NU) : 6395286
% 115.84/17.31 % Rec. Clause-clause subsumption calls : 3787852
% 115.84/17.31 % Non-unit clause-clause subsumptions : 6414
% 115.84/17.31 % Unit Clause-clause subsumption calls : 531139
% 115.84/17.31 % Rewrite failures with RHS unbound : 0
% 115.84/17.31 % BW rewrite match attempts : 8044
% 115.84/17.31 % BW rewrite match successes : 113
% 115.84/17.31 % Condensation attempts : 0
% 115.84/17.31 % Condensation successes : 0
% 115.84/17.31 % Termbank termtop insertions : 14322101
% 115.84/17.31 % Search garbage collected termcells : 1349
% 115.84/17.31
% 115.84/17.31 % -------------------------------------------------
% 115.84/17.31 % User time : 15.999 s
% 115.84/17.31 % System time : 0.570 s
% 115.84/17.31 % Total time : 16.569 s
% 115.84/17.31 % Maximum resident set size: 3412 pages
% 115.84/17.31
% 115.84/17.31 % -------------------------------------------------
% 115.84/17.31 % User time : 79.564 s
% 115.84/17.31 % System time : 2.489 s
% 115.84/17.31 % Total time : 82.054 s
% 115.84/17.31 % Maximum resident set size: 4608 pages
% 115.84/17.31 % E exiting
%------------------------------------------------------------------------------