%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU176+2 : TPTP v9.2.1. Released v3.3.0.
% 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 : n018.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 05:10:57 PM UTC 2026
% Result : Theorem 4.65s 3.30s
% Output : CNFRefutation 4.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 71 ( 18 unt; 0 def)
% Number of atoms : 147 ( 71 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 126 ( 50 ~; 54 |; 7 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 89 ( 4 sgn 52 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t47_setfam_1,lemma,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> ( X2 != empty_set
=> subset_difference(X1,cast_to_subset(X1),union_of_subsets(X1,X2)) = meet_of_subsets(X1,complements_of_subsets(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_setfam_1) ).
fof(d4_subset_1,axiom,
! [X1] : cast_to_subset(X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_subset_1) ).
fof(dt_k7_setfam_1,axiom,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> element(complements_of_subsets(X1,X2),powerset(powerset(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_setfam_1) ).
fof(t48_setfam_1,conjecture,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> ( X2 != empty_set
=> union_of_subsets(X1,complements_of_subsets(X1,X2)) = subset_difference(X1,cast_to_subset(X1),meet_of_subsets(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_setfam_1) ).
fof(dt_k2_subset_1,axiom,
! [X1] : element(cast_to_subset(X1),powerset(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_subset_1) ).
fof(redefinition_k6_subset_1,axiom,
! [X1,X2,X3] :
( ( element(X2,powerset(X1))
& element(X3,powerset(X1)) )
=> subset_difference(X1,X2,X3) = set_difference(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_subset_1) ).
fof(dt_k5_setfam_1,axiom,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> element(union_of_subsets(X1,X2),powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_setfam_1) ).
fof(involutiveness_k3_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> subset_complement(X1,subset_complement(X1,X2)) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(d5_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> subset_complement(X1,X2) = set_difference(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_subset_1) ).
fof(involutiveness_k7_setfam_1,axiom,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> complements_of_subsets(X1,complements_of_subsets(X1,X2)) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k7_setfam_1) ).
fof(dt_k6_subset_1,axiom,
! [X1,X2,X3] :
( ( element(X2,powerset(X1))
& element(X3,powerset(X1)) )
=> element(subset_difference(X1,X2,X3),powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_subset_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(t46_setfam_1,lemma,
! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> ~ ( X2 != empty_set
& complements_of_subsets(X1,X2) = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_setfam_1) ).
fof(c_0_14,lemma,
! [X586,X587] :
( ~ element(X587,powerset(powerset(X586)))
| X587 = empty_set
| subset_difference(X586,cast_to_subset(X586),union_of_subsets(X586,X587)) = meet_of_subsets(X586,complements_of_subsets(X586,X587)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t47_setfam_1])]) ).
fof(c_0_15,plain,
! [X393] : cast_to_subset(X393) = X393,
inference(variable_rename,[status(thm)],[d4_subset_1]) ).
cnf(c_0_16,lemma,
( X1 = empty_set
| subset_difference(X2,cast_to_subset(X2),union_of_subsets(X2,X1)) = meet_of_subsets(X2,complements_of_subsets(X2,X1))
| ~ element(X1,powerset(powerset(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
cast_to_subset(X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,plain,
! [X437,X438] :
( ~ element(X438,powerset(powerset(X437)))
| element(complements_of_subsets(X437,X438),powerset(powerset(X437))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_setfam_1])]) ).
fof(c_0_19,negated_conjecture,
~ ! [X1,X2] :
( element(X2,powerset(powerset(X1)))
=> ( X2 != empty_set
=> union_of_subsets(X1,complements_of_subsets(X1,X2)) = subset_difference(X1,cast_to_subset(X1),meet_of_subsets(X1,X2)) ) ),
inference(assume_negation,[status(cth)],[t48_setfam_1]) ).
cnf(c_0_20,lemma,
( X1 = empty_set
| subset_difference(X2,X2,union_of_subsets(X2,X1)) = meet_of_subsets(X2,complements_of_subsets(X2,X1))
| ~ element(X1,powerset(powerset(X2))) ),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( element(complements_of_subsets(X2,X1),powerset(powerset(X2)))
| ~ element(X1,powerset(powerset(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_22,negated_conjecture,
( element(esk31_0,powerset(powerset(esk30_0)))
& esk31_0 != empty_set
& union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)) != subset_difference(esk30_0,cast_to_subset(esk30_0),meet_of_subsets(esk30_0,esk31_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_23,plain,
! [X427] : element(cast_to_subset(X427),powerset(X427)),
inference(variable_rename,[status(thm)],[dt_k2_subset_1]) ).
fof(c_0_24,plain,
! [X493,X494,X495] :
( ~ element(X494,powerset(X493))
| ~ element(X495,powerset(X493))
| subset_difference(X493,X494,X495) = set_difference(X494,X495) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_subset_1])]) ).
cnf(c_0_25,lemma,
( subset_difference(X1,X1,union_of_subsets(X1,complements_of_subsets(X1,X2))) = meet_of_subsets(X1,complements_of_subsets(X1,complements_of_subsets(X1,X2)))
| complements_of_subsets(X1,X2) = empty_set
| ~ element(X2,powerset(powerset(X1))) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
element(esk31_0,powerset(powerset(esk30_0))),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
element(cast_to_subset(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
( subset_difference(X2,X1,X3) = set_difference(X1,X3)
| ~ element(X1,powerset(X2))
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( subset_difference(esk30_0,esk30_0,union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0))) = meet_of_subsets(esk30_0,complements_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)))
| complements_of_subsets(esk30_0,esk31_0) = empty_set ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
element(X1,powerset(X1)),
inference(rw,[status(thm)],[c_0_27,c_0_17]) ).
fof(c_0_31,plain,
! [X430,X431] :
( ~ element(X431,powerset(powerset(X430)))
| element(union_of_subsets(X430,X431),powerset(X430)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_setfam_1])]) ).
cnf(c_0_32,negated_conjecture,
( meet_of_subsets(esk30_0,complements_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0))) = set_difference(esk30_0,union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)))
| complements_of_subsets(esk30_0,esk31_0) = empty_set
| ~ element(union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)),powerset(esk30_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_33,plain,
( element(union_of_subsets(X2,X1),powerset(X2))
| ~ element(X1,powerset(powerset(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_34,plain,
! [X450,X451] :
( ~ element(X451,powerset(X450))
| subset_complement(X450,subset_complement(X450,X451)) = X451 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k3_subset_1])]) ).
fof(c_0_35,plain,
! [X414,X415] :
( ~ element(X415,powerset(X414))
| subset_complement(X414,X415) = set_difference(X414,X415) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_subset_1])]) ).
cnf(c_0_36,negated_conjecture,
( meet_of_subsets(esk30_0,complements_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0))) = set_difference(esk30_0,union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)))
| complements_of_subsets(esk30_0,esk31_0) = empty_set
| ~ element(complements_of_subsets(esk30_0,esk31_0),powerset(powerset(esk30_0))) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_37,plain,
! [X452,X453] :
( ~ element(X453,powerset(powerset(X452)))
| complements_of_subsets(X452,complements_of_subsets(X452,X453)) = X453 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k7_setfam_1])]) ).
fof(c_0_38,plain,
! [X434,X435,X436] :
( ~ element(X435,powerset(X434))
| ~ element(X436,powerset(X434))
| element(subset_difference(X434,X435,X436),powerset(X434)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_subset_1])]) ).
cnf(c_0_39,plain,
( subset_complement(X2,subset_complement(X2,X1)) = X1
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,plain,
( subset_complement(X2,X1) = set_difference(X2,X1)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( meet_of_subsets(esk30_0,complements_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0))) = set_difference(esk30_0,union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)))
| complements_of_subsets(esk30_0,esk31_0) = empty_set ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_21]),c_0_26])]) ).
cnf(c_0_42,plain,
( complements_of_subsets(X2,complements_of_subsets(X2,X1)) = X1
| ~ element(X1,powerset(powerset(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,plain,
( element(subset_difference(X2,X1,X3),powerset(X2))
| ~ element(X1,powerset(X2))
| ~ element(X3,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,plain,
( subset_complement(X1,set_difference(X1,X2)) = X2
| ~ element(X2,powerset(X1)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( set_difference(esk30_0,union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0))) = meet_of_subsets(esk30_0,esk31_0)
| complements_of_subsets(esk30_0,esk31_0) = empty_set ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_26])]) ).
cnf(c_0_46,negated_conjecture,
( complements_of_subsets(esk30_0,esk31_0) = empty_set
| element(meet_of_subsets(esk30_0,complements_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0))),powerset(esk30_0))
| ~ element(union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)),powerset(esk30_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_29]),c_0_30])]) ).
fof(c_0_47,plain,
! [X619] :
( ~ empty(X619)
| X619 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_48,plain,
! [X486] :
( element(esk25_1(X486),powerset(X486))
& empty(esk25_1(X486)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
cnf(c_0_49,negated_conjecture,
union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)) != subset_difference(esk30_0,cast_to_subset(esk30_0),meet_of_subsets(esk30_0,esk31_0)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_50,negated_conjecture,
( union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)) = subset_complement(esk30_0,meet_of_subsets(esk30_0,esk31_0))
| complements_of_subsets(esk30_0,esk31_0) = empty_set
| ~ element(union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)),powerset(esk30_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,negated_conjecture,
( complements_of_subsets(esk30_0,esk31_0) = empty_set
| element(meet_of_subsets(esk30_0,complements_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0))),powerset(esk30_0))
| ~ element(complements_of_subsets(esk30_0,esk31_0),powerset(powerset(esk30_0))) ),
inference(spm,[status(thm)],[c_0_46,c_0_33]) ).
cnf(c_0_52,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,plain,
empty(esk25_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,negated_conjecture,
union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)) != subset_difference(esk30_0,esk30_0,meet_of_subsets(esk30_0,esk31_0)),
inference(rw,[status(thm)],[c_0_49,c_0_17]) ).
cnf(c_0_55,negated_conjecture,
( union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)) = subset_complement(esk30_0,meet_of_subsets(esk30_0,esk31_0))
| complements_of_subsets(esk30_0,esk31_0) = empty_set
| ~ element(complements_of_subsets(esk30_0,esk31_0),powerset(powerset(esk30_0))) ),
inference(spm,[status(thm)],[c_0_50,c_0_33]) ).
cnf(c_0_56,negated_conjecture,
( complements_of_subsets(esk30_0,esk31_0) = empty_set
| element(meet_of_subsets(esk30_0,complements_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0))),powerset(esk30_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_21]),c_0_26])]) ).
fof(c_0_57,lemma,
! [X582,X583] :
( ~ element(X583,powerset(powerset(X582)))
| X583 = empty_set
| complements_of_subsets(X582,X583) != empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_setfam_1])]) ).
cnf(c_0_58,plain,
element(esk25_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,plain,
esk25_1(X1) = empty_set,
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,negated_conjecture,
( union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)) != set_difference(esk30_0,meet_of_subsets(esk30_0,esk31_0))
| ~ element(meet_of_subsets(esk30_0,esk31_0),powerset(esk30_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_28]),c_0_30])]) ).
cnf(c_0_61,negated_conjecture,
( union_of_subsets(esk30_0,complements_of_subsets(esk30_0,esk31_0)) = subset_complement(esk30_0,meet_of_subsets(esk30_0,esk31_0))
| complements_of_subsets(esk30_0,esk31_0) = empty_set ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_21]),c_0_26])]) ).
cnf(c_0_62,negated_conjecture,
( complements_of_subsets(esk30_0,esk31_0) = empty_set
| element(meet_of_subsets(esk30_0,esk31_0),powerset(esk30_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_42]),c_0_26])]) ).
cnf(c_0_63,lemma,
( X1 = empty_set
| ~ element(X1,powerset(powerset(X2)))
| complements_of_subsets(X2,X1) != empty_set ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_64,plain,
element(empty_set,powerset(X1)),
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
( complements_of_subsets(esk30_0,esk31_0) = empty_set
| subset_complement(esk30_0,meet_of_subsets(esk30_0,esk31_0)) != set_difference(esk30_0,meet_of_subsets(esk30_0,esk31_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_66,lemma,
( complements_of_subsets(X1,empty_set) = empty_set
| ~ element(complements_of_subsets(X1,empty_set),powerset(powerset(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_42])]),c_0_64])]) ).
cnf(c_0_67,negated_conjecture,
complements_of_subsets(esk30_0,esk31_0) = empty_set,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_40]),c_0_62]) ).
cnf(c_0_68,lemma,
complements_of_subsets(X1,empty_set) = empty_set,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_21]),c_0_64])]) ).
cnf(c_0_69,negated_conjecture,
esk31_0 != empty_set,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_67]),c_0_68]),c_0_26])]),c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU176+2 : TPTP v9.2.1. Released v3.3.0.
% 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
% 0.16/0.33 % Computer : n018.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 02:47:32 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 4.65/3.30 % Version : CSE_E---1.7
% 4.65/3.30 % Problem : theBenchmark.p
% 4.65/3.30 % SZS status Theorem for theBenchmark.p
% 4.65/3.30 % SZS output start CNFRefutation
% See solution above
% 4.65/3.31 % Total time : 2.370s
%------------------------------------------------------------------------------