%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET669+3 : TPTP v9.2.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n019.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 05:08:17 PM UTC 2026
% Result : Theorem 1.39s 1.77s
% Output : CNFRefutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 63 ( 13 unt; 0 def)
% Number of atoms : 254 ( 15 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 319 ( 128 ~; 126 |; 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 : 122 ( 2 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p22,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ( ilf_type(X1,member_type(X2))
<=> member(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).
fof(p21,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ~ empty(power_set(X1))
& ilf_type(power_set(X1),set_type) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).
fof(p32,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32) ).
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/sandbox/benchmark/theBenchmark.p',p16) ).
fof(p30,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> range(X1,X2,X3) = range_of(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30) ).
fof(prove_relset_1_32,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(identity_relation_of(X2),X3)
=> ( subset(X2,domain(X1,X2,X3))
& X2 = range(X1,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_32) ).
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/sandbox/benchmark/theBenchmark.p',p20) ).
fof(p31,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ilf_type(range(X1,X2,X3),subset_type(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31) ).
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,domain(X1,X2,X4))
& subset(X3,range(X1,X2,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',p7) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ( subset(X1,X2)
& subset(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(c_0_11,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ( 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)
=> ( ~ empty(power_set(X1))
& ilf_type(power_set(X1),set_type) ) ),
inference(fof_simplification,[status(thm)],[p21]) ).
fof(c_0_13,plain,
! [X127,X128] :
( ( ~ ilf_type(X127,member_type(X128))
| member(X127,X128)
| empty(X128)
| ~ ilf_type(X128,set_type)
| ~ ilf_type(X127,set_type) )
& ( ~ member(X127,X128)
| ilf_type(X127,member_type(X128))
| empty(X128)
| ~ ilf_type(X128,set_type)
| ~ ilf_type(X127,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_14,plain,
! [X157] : ilf_type(X157,set_type),
inference(variable_rename,[status(thm)],[p32]) ).
fof(c_0_15,plain,
! [X116,X117] :
( ( ~ ilf_type(X117,subset_type(X116))
| ilf_type(X117,member_type(power_set(X116)))
| ~ ilf_type(X117,set_type)
| ~ ilf_type(X116,set_type) )
& ( ~ ilf_type(X117,member_type(power_set(X116)))
| ilf_type(X117,subset_type(X116))
| ~ ilf_type(X117,set_type)
| ~ ilf_type(X116,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p16])])])]) ).
fof(c_0_16,plain,
! [X126] :
( ( ~ empty(power_set(X126))
| ~ ilf_type(X126,set_type) )
& ( ilf_type(power_set(X126),set_type)
| ~ ilf_type(X126,set_type) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_17,plain,
! [X151,X152,X153] :
( ~ ilf_type(X151,set_type)
| ~ ilf_type(X152,set_type)
| ~ ilf_type(X153,relation_type(X151,X152))
| range(X151,X152,X153) = range_of(X153) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p30])])]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(identity_relation_of(X2),X3)
=> ( subset(X2,domain(X1,X2,X3))
& X2 = range(X1,X2,X3) ) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_32]) ).
fof(c_0_19,plain,
! [X122,X123,X124] :
( ( ~ member(X122,power_set(X123))
| ~ ilf_type(X124,set_type)
| ~ member(X124,X122)
| member(X124,X123)
| ~ ilf_type(X123,set_type)
| ~ ilf_type(X122,set_type) )
& ( ilf_type(esk7_2(X122,X123),set_type)
| member(X122,power_set(X123))
| ~ ilf_type(X123,set_type)
| ~ ilf_type(X122,set_type) )
& ( member(esk7_2(X122,X123),X122)
| member(X122,power_set(X123))
| ~ ilf_type(X123,set_type)
| ~ ilf_type(X122,set_type) )
& ( ~ member(esk7_2(X122,X123),X123)
| member(X122,power_set(X123))
| ~ ilf_type(X123,set_type)
| ~ ilf_type(X122,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p20])])])])]) ).
cnf(c_0_20,plain,
( member(X1,X2)
| empty(X2)
| ~ ilf_type(X1,member_type(X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( ilf_type(X1,member_type(power_set(X2)))
| ~ ilf_type(X1,subset_type(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( ~ empty(power_set(X1))
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_24,plain,
! [X154,X155,X156] :
( ~ ilf_type(X154,set_type)
| ~ ilf_type(X155,set_type)
| ~ ilf_type(X156,relation_type(X154,X155))
| ilf_type(range(X154,X155,X156),subset_type(X155)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p31])])]) ).
cnf(c_0_25,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_26,negated_conjecture,
( ilf_type(esk13_0,set_type)
& ilf_type(esk14_0,set_type)
& ilf_type(esk15_0,relation_type(esk13_0,esk14_0))
& subset(identity_relation_of(esk14_0),esk15_0)
& ( ~ subset(esk14_0,domain(esk13_0,esk14_0,esk15_0))
| esk14_0 != range(esk13_0,esk14_0,esk15_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_27,plain,
! [X81,X82,X83,X84] :
( ( subset(X83,domain(X81,X82,X84))
| ~ subset(identity_relation_of(X83),X84)
| ~ ilf_type(X84,relation_type(X81,X82))
| ~ ilf_type(X83,set_type)
| ~ ilf_type(X82,set_type)
| ~ ilf_type(X81,set_type) )
& ( subset(X83,range(X81,X82,X84))
| ~ subset(identity_relation_of(X83),X84)
| ~ ilf_type(X84,relation_type(X81,X82))
| ~ ilf_type(X83,set_type)
| ~ ilf_type(X82,set_type)
| ~ ilf_type(X81,set_type) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])])]) ).
cnf(c_0_28,plain,
( member(X3,X2)
| ~ member(X1,power_set(X2))
| ~ ilf_type(X3,set_type)
| ~ member(X3,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
( empty(X1)
| member(X2,X1)
| ~ ilf_type(X2,member_type(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_21])]) ).
cnf(c_0_30,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_22,c_0_21]),c_0_21])]) ).
cnf(c_0_31,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_21])]) ).
cnf(c_0_32,plain,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_21]),c_0_21])]) ).
cnf(c_0_34,negated_conjecture,
ilf_type(esk15_0,relation_type(esk13_0,esk14_0)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( subset(X1,range(X2,X3,X4))
| ~ subset(identity_relation_of(X1),X4)
| ~ ilf_type(X4,relation_type(X2,X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,plain,
( subset(X1,domain(X2,X3,X4))
| ~ subset(identity_relation_of(X1),X4)
| ~ ilf_type(X4,relation_type(X2,X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,plain,
( member(X1,X2)
| ~ member(X3,power_set(X2))
| ~ member(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_21]),c_0_21]),c_0_21])]) ).
cnf(c_0_38,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X1,subset_type(X2)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_39,plain,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_21]),c_0_21])]) ).
cnf(c_0_40,negated_conjecture,
range(esk13_0,esk14_0,esk15_0) = range_of(esk15_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_41,plain,
! [X96,X97,X98] :
( ( ~ subset(X96,X97)
| ~ ilf_type(X98,set_type)
| ~ member(X98,X96)
| member(X98,X97)
| ~ ilf_type(X97,set_type)
| ~ ilf_type(X96,set_type) )
& ( ilf_type(esk2_2(X96,X97),set_type)
| subset(X96,X97)
| ~ ilf_type(X97,set_type)
| ~ ilf_type(X96,set_type) )
& ( member(esk2_2(X96,X97),X96)
| subset(X96,X97)
| ~ ilf_type(X97,set_type)
| ~ ilf_type(X96,set_type) )
& ( ~ member(esk2_2(X96,X97),X97)
| subset(X96,X97)
| ~ ilf_type(X97,set_type)
| ~ ilf_type(X96,set_type) ) ),
inference(distribute,[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,
! [X79,X80] :
( ~ ilf_type(X79,set_type)
| ~ ilf_type(X80,set_type)
| ~ subset(X79,X80)
| ~ subset(X80,X79)
| X79 = X80 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])]) ).
cnf(c_0_43,plain,
( subset(X1,range(X2,X3,X4))
| ~ subset(identity_relation_of(X1),X4)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_21]),c_0_21]),c_0_21])]) ).
cnf(c_0_44,negated_conjecture,
( ~ subset(esk14_0,domain(esk13_0,esk14_0,esk15_0))
| esk14_0 != range(esk13_0,esk14_0,esk15_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_45,plain,
( subset(X1,domain(X2,X3,X4))
| ~ subset(identity_relation_of(X1),X4)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_21]),c_0_21]),c_0_21])]) ).
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,
( member(X1,X2)
| ~ member(X1,X3)
| ~ ilf_type(X3,subset_type(X2)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_48,negated_conjecture,
ilf_type(range_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,
( member(esk2_2(X1,X2),X1)
| subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( X1 = X2
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,negated_conjecture,
( subset(X1,range_of(esk15_0))
| ~ subset(identity_relation_of(X1),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,
range(esk13_0,esk14_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,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_54,negated_conjecture,
( member(X1,esk14_0)
| ~ member(X1,range_of(esk15_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,plain,
( member(esk2_2(X1,X2),X1)
| subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_21]),c_0_21])]) ).
cnf(c_0_56,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_21]),c_0_21])]) ).
cnf(c_0_57,negated_conjecture,
subset(esk14_0,range_of(esk15_0)),
inference(spm,[status(thm)],[c_0_51,c_0_46]) ).
cnf(c_0_58,negated_conjecture,
range_of(esk15_0) != esk14_0,
inference(rw,[status(thm)],[c_0_52,c_0_40]) ).
cnf(c_0_59,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_21]),c_0_21])]) ).
cnf(c_0_60,negated_conjecture,
( member(esk2_2(range_of(esk15_0),X1),esk14_0)
| subset(range_of(esk15_0),X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
~ subset(range_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
% 0.00/0.12 % Problem : SET669+3 : TPTP v9.2.1. Released v2.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n019.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 02:32:44 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.39/1.77 % Version : CSE_E---1.7
% 1.39/1.77 % Problem : theBenchmark.p
% 1.39/1.77 % SZS status Theorem for theBenchmark.p
% 1.39/1.77 % SZS output start CNFRefutation
% See solution above
% 1.39/1.77 % Total time : 1.374s
%------------------------------------------------------------------------------