%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU193+2 : 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 : n023.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 03:44:47 PM UTC 2025
% Result : Theorem 11.78s 1.91s
% Output : CNFRefutation 11.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 57 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 62 ( 26 ~; 24 |; 1 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 2 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t88_relat_1,plain,
! [A,B] :
( relation(B)
=> subset(relation_dom_restriction(B,A),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t88_relat_1) ).
fof(t88_relat_1_negated,plain,
~ ! [A,B] :
( relation(B)
=> subset(relation_dom_restriction(B,A),B) ),
inference(negate_conjecture,[status(cth)],[t88_relat_1]) ).
cnf(328,plain,
relation(sK72),
inference(cnf,[status(esa)],[t88_relat_1_negated]) ).
cnf(l0,plain,
relation(sK72),
inference(instantiation,[status(thm)],[328]) ).
fof(d11_relat_1,plain,
! [A] :
( relation(A)
=> ! [B,C] :
( relation(C)
=> ( C = relation_dom_restriction(A,B)
<=> ! [D,E] :
( in(ordered_pair(D,E),C)
<=> ( in(D,B)
& in(ordered_pair(D,E),A) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_relat_1) ).
cnf(18,plain,
( ~ in(ordered_pair(X0,X1),X2)
| X2 != relation_dom_restriction(X3,X4)
| ~ relation(X3)
| ~ relation(X2)
| in(ordered_pair(X0,X1),X3) ),
inference(cnf,[status(esa)],[d11_relat_1]) ).
cnf(l1,plain,
( ~ in(ordered_pair(sK28(relation_dom_restriction(sK72,sK71),sK72),sK29(relation_dom_restriction(sK72,sK71),sK72)),relation_dom_restriction(sK72,sK71))
| relation_dom_restriction(sK72,sK71) != relation_dom_restriction(sK72,sK71)
| ~ relation(sK72)
| ~ relation(relation_dom_restriction(sK72,sK71))
| in(ordered_pair(sK28(relation_dom_restriction(sK72,sK71),sK72),sK29(relation_dom_restriction(sK72,sK71),sK72)),sK72) ),
inference(instantiation,[status(thm)],[18]) ).
fof(dt_k7_relat_1,plain,
! [A,B] :
( relation(A)
=> relation(relation_dom_restriction(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
cnf(162,plain,
( ~ relation(X0)
| relation(relation_dom_restriction(X0,X1)) ),
inference(cnf,[status(esa)],[dt_k7_relat_1]) ).
cnf(l17,plain,
( ~ relation(sK72)
| relation(relation_dom_restriction(sK72,sK71)) ),
inference(instantiation,[status(thm)],[162]) ).
fof(d3_relat_1,plain,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ( subset(A,B)
<=> ! [C,D] :
( in(ordered_pair(C,D),A)
=> in(ordered_pair(C,D),B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_relat_1) ).
cnf(83,plain,
( ~ relation(X0)
| ~ relation(X1)
| in(ordered_pair(sK28(X0,X1),sK29(X0,X1)),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_relat_1]) ).
cnf(l3,plain,
( ~ relation(relation_dom_restriction(sK72,sK71))
| ~ relation(sK72)
| in(ordered_pair(sK28(relation_dom_restriction(sK72,sK71),sK72),sK29(relation_dom_restriction(sK72,sK71),sK72)),relation_dom_restriction(sK72,sK71))
| subset(relation_dom_restriction(sK72,sK71),sK72) ),
inference(instantiation,[status(thm)],[83]) ).
cnf(329,plain,
~ subset(relation_dom_restriction(sK72,sK71),sK72),
inference(cnf,[status(esa)],[t88_relat_1_negated]) ).
cnf(l9,plain,
~ subset(relation_dom_restriction(sK72,sK71),sK72),
inference(instantiation,[status(thm)],[329]) ).
cnf(l7,plain,
( ~ relation(sK72)
| relation(relation_dom_restriction(sK72,sK71)) ),
inference(instantiation,[status(thm)],[162]) ).
cnf(84,plain,
( ~ in(ordered_pair(sK28(X0,X1),sK29(X0,X1)),X1)
| ~ relation(X0)
| ~ relation(X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_relat_1]) ).
cnf(l22,plain,
( ~ in(ordered_pair(sK28(relation_dom_restriction(sK72,sK71),sK72),sK29(relation_dom_restriction(sK72,sK71),sK72)),sK72)
| ~ relation(relation_dom_restriction(sK72,sK71))
| ~ relation(sK72)
| subset(relation_dom_restriction(sK72,sK71),sK72) ),
inference(instantiation,[status(thm)],[84]) ).
cnf(l27,plain,
( ~ relation(sK72)
| relation(relation_dom_restriction(sK72,sK71)) ),
inference(instantiation,[status(thm)],[162]) ).
cnf(l26,plain,
~ subset(relation_dom_restriction(sK72,sK71),sK72),
inference(instantiation,[status(thm)],[329]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l17,l3,l9,l7,l22,l27,l26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU193+2 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 23:51:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.18/0.49 % launching worker at depth: 10
% 11.78/1.91 % SZS status Theorem for theBenchmark
% 11.78/1.91 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------