%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET668+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 : n011.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 0.21s 0.59s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 63 ( 13 unt; 0 def)
% Number of atoms : 255 ( 15 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 321 ( 129 ~; 127 |; 22 &)
% ( 5 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 123 ( 2 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p22,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',p22) ).
fof(p21,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',p21) ).
fof(p20,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',p20) ).
fof(p32,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32) ).
fof(p28,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> domain(X1,X2,X3) = domain_of(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28) ).
fof(prove_relset_1_31,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
=> ( subset(identity_relation_of(X2),X3)
=> ( subset(X2,range(X2,X1,X3))
& X2 = domain(X2,X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_31) ).
fof(p16,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',p16) ).
fof(p29,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ilf_type(domain(X1,X2,X3),subset_type(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29) ).
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,relation_type(X1,X2))
=> ( subset(identity_relation_of(X3),X4)
=> ( subset(X3,range(X1,X2,X4))
& subset(X3,domain(X1,X2,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(p7,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',p7) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ( subset(X2,X1)
& subset(X1,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(c_0_11,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)],[p22]) ).
fof(c_0_12,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(power_set(X1),set_type)
& ~ empty(power_set(X1)) ) ),
inference(fof_simplification,[status(thm)],[p21]) ).
fof(c_0_13,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)],[p20])])])])])]) ).
fof(c_0_14,plain,
! [X83] : ilf_type(X83,set_type),
inference(variable_rename,[status(thm)],[p32]) ).
fof(c_0_15,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_11])])])])]) ).
fof(c_0_16,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_12])])])]) ).
fof(c_0_17,plain,
! [X71,X72,X73] :
( domain(X71,X72,X73) = domain_of(X73)
| ~ 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)],[p28])])])]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
=> ( subset(identity_relation_of(X2),X3)
=> ( subset(X2,range(X2,X1,X3))
& X2 = domain(X2,X1,X3) ) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_31]) ).
cnf(c_0_19,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_13]) ).
cnf(c_0_20,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,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_15]) ).
cnf(c_0_22,plain,
( ~ ilf_type(X1,set_type)
| ~ empty(power_set(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_23,plain,
! [X42,X43] :
( ( ~ ilf_type(X42,set_type)
| ~ ilf_type(X43,set_type)
| ilf_type(X43,subset_type(X42))
| ~ ilf_type(X43,member_type(power_set(X42))) )
& ( ~ ilf_type(X42,set_type)
| ~ ilf_type(X43,set_type)
| ilf_type(X43,member_type(power_set(X42)))
| ~ ilf_type(X43,subset_type(X42)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p16])])])])]) ).
fof(c_0_24,plain,
! [X74,X75,X76] :
( ilf_type(domain(X74,X75,X76),subset_type(X74))
| ~ ilf_type(X76,relation_type(X74,X75))
| ~ ilf_type(X75,set_type)
| ~ ilf_type(X74,set_type) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p29])])])]) ).
cnf(c_0_25,plain,
( ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| domain(X1,X2,X3) = domain_of(X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_26,negated_conjecture,
( ( ~ subset(esk14_0,range(esk14_0,esk13_0,esk15_0))
| esk14_0 != domain(esk14_0,esk13_0,esk15_0) )
& subset(identity_relation_of(esk14_0),esk15_0)
& ilf_type(esk15_0,relation_type(esk14_0,esk13_0))
& 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_18])])])]) ).
fof(c_0_27,plain,
! [X7,X8,X9,X10] :
( ( ~ ilf_type(X7,set_type)
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X9,set_type)
| ~ ilf_type(X10,relation_type(X7,X8))
| ~ subset(identity_relation_of(X9),X10)
| subset(X9,range(X7,X8,X10)) )
& ( ~ ilf_type(X7,set_type)
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X9,set_type)
| ~ ilf_type(X10,relation_type(X7,X8))
| ~ subset(identity_relation_of(X9),X10)
| subset(X9,domain(X7,X8,X10)) ) ),
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])])])])]) ).
cnf(c_0_28,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_19,c_0_20]),c_0_20]),c_0_20])]) ).
cnf(c_0_29,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_21,c_0_20]),c_0_20])]) ).
cnf(c_0_30,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_20])]) ).
cnf(c_0_31,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_23]) ).
cnf(c_0_32,plain,
( ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(domain(X1,X2,X3),subset_type(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
( ~ ilf_type(X3,relation_type(X1,X2))
| domain(X1,X2,X3) = domain_of(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_20]),c_0_20])]) ).
cnf(c_0_34,negated_conjecture,
ilf_type(esk15_0,relation_type(esk14_0,esk13_0)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X4,relation_type(X2,X3))
| ~ subset(identity_relation_of(X1),X4)
| subset(X1,domain(X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X4,relation_type(X2,X3))
| ~ subset(identity_relation_of(X1),X4)
| subset(X1,range(X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,plain,
( ~ ilf_type(X3,member_type(power_set(X2)))
| ~ member(X1,X3)
| member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_38,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_31,c_0_20]),c_0_20])]) ).
cnf(c_0_39,plain,
( ~ ilf_type(X3,relation_type(X1,X2))
| ilf_type(domain(X1,X2,X3),subset_type(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_20]),c_0_20])]) ).
cnf(c_0_40,negated_conjecture,
domain(esk14_0,esk13_0,esk15_0) = domain_of(esk15_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_41,plain,
! [X22,X23,X24] :
( ( ~ ilf_type(X22,set_type)
| ~ ilf_type(X23,set_type)
| subset(X22,X23)
| ~ member(esk2_2(X22,X23),X23) )
& ( ~ ilf_type(X22,set_type)
| ~ ilf_type(X23,set_type)
| subset(X22,X23)
| member(esk2_2(X22,X23),X22) )
& ( ~ ilf_type(X22,set_type)
| ~ ilf_type(X23,set_type)
| subset(X22,X23)
| ilf_type(esk2_2(X22,X23),set_type) )
& ( ~ ilf_type(X22,set_type)
| ~ ilf_type(X23,set_type)
| member(X24,X23)
| ~ member(X24,X22)
| ~ ilf_type(X24,set_type)
| ~ subset(X22,X23) ) ),
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)],[p7])])])])])]) ).
fof(c_0_42,plain,
! [X5,X6] :
( X5 = X6
| ~ subset(X6,X5)
| ~ subset(X5,X6)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])])]) ).
cnf(c_0_43,plain,
( ~ ilf_type(X4,relation_type(X2,X3))
| ~ subset(identity_relation_of(X1),X4)
| subset(X1,domain(X2,X3,X4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_20]),c_0_20]),c_0_20])]) ).
cnf(c_0_44,negated_conjecture,
( ~ subset(esk14_0,range(esk14_0,esk13_0,esk15_0))
| esk14_0 != domain(esk14_0,esk13_0,esk15_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_45,plain,
( ~ ilf_type(X4,relation_type(X2,X3))
| ~ subset(identity_relation_of(X1),X4)
| subset(X1,range(X2,X3,X4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_20]),c_0_20]),c_0_20])]) ).
cnf(c_0_46,negated_conjecture,
subset(identity_relation_of(esk14_0),esk15_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_47,plain,
( ~ ilf_type(X3,subset_type(X2))
| ~ member(X1,X3)
| member(X1,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_48,negated_conjecture,
ilf_type(domain_of(esk15_0),subset_type(esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_34])]) ).
cnf(c_0_49,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| subset(X1,X2)
| member(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( ~ subset(X2,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,negated_conjecture,
( ~ subset(identity_relation_of(X1),esk15_0)
| subset(X1,domain_of(esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40]),c_0_34])]) ).
cnf(c_0_52,negated_conjecture,
domain(esk14_0,esk13_0,esk15_0) != esk14_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_34])]) ).
cnf(c_0_53,plain,
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(esk2_2(X1,X2),X2)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_54,negated_conjecture,
( ~ member(X1,domain_of(esk15_0))
| member(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_20]),c_0_20])]) ).
cnf(c_0_56,plain,
( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_20]),c_0_20])]) ).
cnf(c_0_57,negated_conjecture,
subset(esk14_0,domain_of(esk15_0)),
inference(spm,[status(thm)],[c_0_51,c_0_46]) ).
cnf(c_0_58,negated_conjecture,
domain_of(esk15_0) != esk14_0,
inference(rw,[status(thm)],[c_0_52,c_0_40]) ).
cnf(c_0_59,plain,
( ~ member(esk2_2(X1,X2),X2)
| subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_20]),c_0_20])]) ).
cnf(c_0_60,negated_conjecture,
( subset(domain_of(esk15_0),X1)
| member(esk2_2(domain_of(esk15_0),X1),esk14_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
~ subset(domain_of(esk15_0),esk14_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET668+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:31:41 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 0.21/0.59 % Version: 3.5.1
% 0.21/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.21/0.59 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.59 % Starting sh5l with 300s (1) cores
% 0.21/0.59 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1067432 completed with status 0
% 0.21/0.59 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.21/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.59 % No SInE strategy applied
% 0.21/0.59 % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.21/0.59 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.59 % Starting SubtermCWHack with 136s (1) cores
% 0.21/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.21/0.59 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 0.21/0.59 % Starting new_bool_3 with 189s (1) cores
% 0.21/0.59 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.21/0.59 % G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with pid 1067440 completed with status 0
% 0.21/0.59 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S0Y
% 0.21/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.59 % No SInE strategy applied
% 0.21/0.59 % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.21/0.59 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.59 % Starting SubtermCWHack with 136s (1) cores
% 0.21/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.21/0.59 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 0.21/0.59 % Preprocessing time : 0.003 s
% 0.21/0.59
% 0.21/0.59 % Proof found!
% 0.21/0.59 % SZS status Theorem
% 0.21/0.59 % SZS output start CNFRefutation
% See solution above
% 0.21/0.59 % Parsed axioms : 33
% 0.21/0.59 % Removed by relevancy pruning/SinE : 0
% 0.21/0.59 % Initial clauses : 65
% 0.21/0.59 % Removed in clause preprocessing : 1
% 0.21/0.59 % Initial clauses in saturation : 64
% 0.21/0.59 % Processed clauses : 831
% 0.21/0.59 % ...of these trivial : 18
% 0.21/0.59 % ...subsumed : 354
% 0.21/0.59 % ...remaining for further processing : 459
% 0.21/0.59 % Other redundant clauses eliminated : 4
% 0.21/0.59 % Clauses deleted for lack of memory : 0
% 0.21/0.59 % Backward-subsumed : 19
% 0.21/0.59 % Backward-rewritten : 4
% 0.21/0.59 % Generated clauses : 2200
% 0.21/0.59 % ...of the previous two non-redundant : 2066
% 0.21/0.59 % ...aggressively subsumed : 0
% 0.21/0.59 % Contextual simplify-reflections : 10
% 0.21/0.59 % Paramodulations : 2196
% 0.21/0.59 % Factorizations : 0
% 0.21/0.59 % NegExts : 0
% 0.21/0.59 % Equation resolutions : 4
% 0.21/0.59 % Disequality decompositions : 0
% 0.21/0.59 % Total rewrite steps : 290
% 0.21/0.59 % ...of those cached : 208
% 0.21/0.59 % Propositional unsat checks : 0
% 0.21/0.59 % Propositional check models : 0
% 0.21/0.59 % Propositional check unsatisfiable : 0
% 0.21/0.59 % Propositional clauses : 0
% 0.21/0.59 % Propositional clauses after purity: 0
% 0.21/0.59 % Propositional unsat core size : 0
% 0.21/0.59 % Propositional preprocessing time : 0.000
% 0.21/0.59 % Propositional encoding time : 0.000
% 0.21/0.59 % Propositional solver time : 0.000
% 0.21/0.59 % Success case prop preproc time : 0.000
% 0.21/0.59 % Success case prop encoding time : 0.000
% 0.21/0.59 % Success case prop solver time : 0.000
% 0.21/0.59 % Current number of processed clauses : 433
% 0.21/0.59 % Positive orientable unit clauses : 96
% 0.21/0.59 % Positive unorientable unit clauses: 0
% 0.21/0.59 % Negative unit clauses : 7
% 0.21/0.59 % Non-unit-clauses : 330
% 0.21/0.59 % Current number of unprocessed clauses: 1285
% 0.21/0.59 % ...number of literals in the above : 4633
% 0.21/0.59 % Current number of archived formulas : 0
% 0.21/0.59 % Current number of archived clauses : 23
% 0.21/0.59 % Clause-clause subsumption calls (NU) : 10520
% 0.21/0.59 % Rec. Clause-clause subsumption calls : 7520
% 0.21/0.59 % Non-unit clause-clause subsumptions : 289
% 0.21/0.59 % Unit Clause-clause subsumption calls : 1819
% 0.21/0.59 % Rewrite failures with RHS unbound : 0
% 0.21/0.59 % BW rewrite match attempts : 61
% 0.21/0.59 % BW rewrite match successes : 4
% 0.21/0.59 % Condensation attempts : 0
% 0.21/0.59 % Condensation successes : 0
% 0.21/0.59 % Termbank termtop insertions : 36443
% 0.21/0.59 % Search garbage collected termcells : 1372
% 0.21/0.59
% 0.21/0.59 % -------------------------------------------------
% 0.21/0.59 % User time : 0.114 s
% 0.21/0.59 % System time : 0.016 s
% 0.21/0.59 % Total time : 0.130 s
% 0.21/0.59 % Maximum resident set size: 3676 pages
% 0.21/0.59
% 0.21/0.59 % -------------------------------------------------
% 0.21/0.59 % User time : 0.516 s
% 0.21/0.59 % System time : 0.052 s
% 0.21/0.59 % Total time : 0.568 s
% 0.21/0.59 % Maximum resident set size: 4608 pages
% 0.21/0.59 % E exiting
%------------------------------------------------------------------------------