%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU263+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n028.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 : Fri Jul 25 03:45:01 PM UTC 2025
% Result : Theorem 0.18s 0.33s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 7 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 66 ( 27 ~; 24 |; 3 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 58 ( 3 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t14_relset_1,plain,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(relation_rng(D),B)
=> relation_of2_as_subset(D,C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_relset_1) ).
fof(t14_relset_1_negated,plain,
~ ! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(relation_rng(D),B)
=> relation_of2_as_subset(D,C,B) ) ),
inference(negate_conjecture,[status(cth)],[t14_relset_1]) ).
cnf(13,plain,
relation_of2_as_subset(sK7,sK6,sK4),
inference(cnf,[status(esa)],[t14_relset_1_negated]) ).
cnf(l0,plain,
relation_of2_as_subset(sK7,sK6,sK4),
inference(instantiation,[status(thm)],[13]) ).
fof(redefinition_m2_relset_1,plain,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
<=> relation_of2(C,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
cnf(7,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| relation_of2(X0,X1,X2) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
cnf(l1,plain,
( ~ relation_of2_as_subset(sK7,sK6,sK4)
| relation_of2(sK7,sK6,sK4) ),
inference(instantiation,[status(thm)],[7]) ).
fof(d1_relset_1,plain,
! [A,B,C] :
( relation_of2(C,A,B)
<=> subset(C,cartesian_product2(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relset_1) ).
cnf(1,plain,
( ~ relation_of2(X0,X1,X2)
| subset(X0,cartesian_product2(X1,X2)) ),
inference(cnf,[status(esa)],[d1_relset_1]) ).
cnf(l2,plain,
( ~ relation_of2(sK7,sK6,sK4)
| subset(sK7,cartesian_product2(sK6,sK4)) ),
inference(instantiation,[status(thm)],[1]) ).
fof(t3_subset,plain,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
cnf(19,plain,
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(cnf,[status(esa)],[t3_subset]) ).
cnf(l3,plain,
( ~ subset(sK7,cartesian_product2(sK6,sK4))
| element(sK7,powerset(cartesian_product2(sK6,sK4))) ),
inference(instantiation,[status(thm)],[19]) ).
fof(cc1_relset_1,plain,
! [A,B,C] :
( element(C,powerset(cartesian_product2(A,B)))
=> relation(C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
cnf(0,plain,
( ~ element(X0,powerset(cartesian_product2(X1,X2)))
| relation(X0) ),
inference(cnf,[status(esa)],[cc1_relset_1]) ).
cnf(l4,plain,
( ~ element(sK7,powerset(cartesian_product2(sK6,sK4)))
| relation(sK7) ),
inference(instantiation,[status(thm)],[0]) ).
fof(t21_relat_1,plain,
! [A] :
( relation(A)
=> subset(A,cartesian_product2(relation_dom(A),relation_rng(A))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_relat_1) ).
cnf(17,plain,
( ~ relation(X0)
| subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
inference(cnf,[status(esa)],[t21_relat_1]) ).
cnf(l5,plain,
( ~ relation(sK7)
| subset(sK7,cartesian_product2(relation_dom(sK7),relation_rng(sK7))) ),
inference(instantiation,[status(thm)],[17]) ).
fof(t1_xboole_1,plain,
! [A,B,C] :
( ( subset(A,B)
& subset(B,C) )
=> subset(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
cnf(16,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(cnf,[status(esa)],[t1_xboole_1]) ).
cnf(l6,plain,
( ~ subset(sK7,cartesian_product2(relation_dom(sK7),relation_rng(sK7)))
| ~ subset(cartesian_product2(relation_dom(sK7),relation_rng(sK7)),cartesian_product2(sK6,sK5))
| subset(sK7,cartesian_product2(sK6,sK5)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(2,plain,
( ~ subset(X0,cartesian_product2(X1,X2))
| relation_of2(X0,X1,X2) ),
inference(cnf,[status(esa)],[d1_relset_1]) ).
cnf(l10,plain,
( ~ subset(sK7,cartesian_product2(sK6,sK5))
| relation_of2(sK7,sK6,sK5) ),
inference(instantiation,[status(thm)],[2]) ).
fof(t119_zfmisc_1,plain,
! [A,B,C,D] :
( ( subset(A,B)
& subset(C,D) )
=> subset(cartesian_product2(A,C),cartesian_product2(B,D)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_zfmisc_1) ).
cnf(10,plain,
( ~ subset(X0,X1)
| ~ subset(X2,X3)
| subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
inference(cnf,[status(esa)],[t119_zfmisc_1]) ).
cnf(l7,plain,
( ~ subset(relation_dom(sK7),sK6)
| ~ subset(relation_rng(sK7),sK5)
| subset(cartesian_product2(relation_dom(sK7),relation_rng(sK7)),cartesian_product2(sK6,sK5)) ),
inference(instantiation,[status(thm)],[10]) ).
fof(t12_relset_1,plain,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> ( subset(relation_dom(C),A)
& subset(relation_rng(C),B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_relset_1) ).
cnf(11,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| subset(relation_dom(X0),X1) ),
inference(cnf,[status(esa)],[t12_relset_1]) ).
cnf(l18,plain,
( ~ relation_of2_as_subset(sK7,sK6,sK4)
| subset(relation_dom(sK7),sK6) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(14,plain,
subset(relation_rng(sK7),sK5),
inference(cnf,[status(esa)],[t14_relset_1_negated]) ).
cnf(l8,plain,
subset(relation_rng(sK7),sK5),
inference(instantiation,[status(thm)],[14]) ).
cnf(8,plain,
( ~ relation_of2(X0,X1,X2)
| relation_of2_as_subset(X0,X1,X2) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
cnf(l11,plain,
( ~ relation_of2(sK7,sK6,sK5)
| relation_of2_as_subset(sK7,sK6,sK5) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(15,plain,
~ relation_of2_as_subset(sK7,sK6,sK5),
inference(cnf,[status(esa)],[t14_relset_1_negated]) ).
cnf(l12,plain,
~ relation_of2_as_subset(sK7,sK6,sK5),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l10,l7,l18,l8,l11,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SEU263+1 : TPTP v9.0.0. Released v3.3.0.
% 0.09/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.31 % Computer : n028.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 300
% 0.13/0.31 % DateTime : Tue Jul 22 00:22:04 EDT 2025
% 0.13/0.31 % CPUTime :
% 0.18/0.32 % launching worker at depth: 1
% 0.18/0.32 % launching worker at depth: 8
% 0.18/0.32 % launching worker at depth: 2
% 0.18/0.32 % launching worker at depth: 3
% 0.18/0.32 % launching worker at depth: 4
% 0.18/0.32 % launching worker at depth: 6
% 0.18/0.32 % launching worker at depth: 5
% 0.18/0.32 % launching worker at depth: 7
% 0.18/0.32 % launching worker at depth: 9
% 0.18/0.32 % launching worker at depth: 10
% 0.18/0.32 % launching worker at depth: 11
% 0.18/0.33 % SZS status Theorem for theBenchmark
% 0.18/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------