%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU248+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 03:44:59 PM UTC 2025
% Result : Theorem 1.67s 0.62s
% Output : CNFRefutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 31 ( 13 ~; 10 |; 1 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 2 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l29_wellord1,plain,
! [A,B] :
( relation(B)
=> subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l29_wellord1) ).
fof(l29_wellord1_negated,plain,
~ ! [A,B] :
( relation(B)
=> subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)) ),
inference(negate_conjecture,[status(cth)],[l29_wellord1]) ).
cnf(391,plain,
relation(sK105),
inference(cnf,[status(esa)],[l29_wellord1_negated]) ).
cnf(l0,plain,
relation(sK105),
inference(instantiation,[status(thm)],[391]) ).
fof(t25_relat_1,plain,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ( subset(A,B)
=> ( subset(relation_dom(A),relation_dom(B))
& subset(relation_rng(A),relation_rng(B)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_relat_1) ).
cnf(531,plain,
( ~ relation(X0)
| ~ relation(X1)
| ~ subset(X0,X1)
| subset(relation_dom(X0),relation_dom(X1)) ),
inference(cnf,[status(esa)],[t25_relat_1]) ).
cnf(l1,plain,
( ~ relation(relation_rng_restriction(sK104,sK105))
| ~ relation(sK105)
| ~ subset(relation_rng_restriction(sK104,sK105),sK105)
| subset(relation_dom(relation_rng_restriction(sK104,sK105)),relation_dom(sK105)) ),
inference(instantiation,[status(thm)],[531]) ).
cnf(392,plain,
~ subset(relation_dom(relation_rng_restriction(sK104,sK105)),relation_dom(sK105)),
inference(cnf,[status(esa)],[l29_wellord1_negated]) ).
cnf(l6,plain,
~ subset(relation_dom(relation_rng_restriction(sK104,sK105)),relation_dom(sK105)),
inference(instantiation,[status(thm)],[392]) ).
fof(t117_relat_1,plain,
! [A,B] :
( relation(B)
=> subset(relation_rng_restriction(A,B),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_relat_1) ).
cnf(479,plain,
( ~ relation(X0)
| subset(relation_rng_restriction(X1,X0),X0) ),
inference(cnf,[status(esa)],[t117_relat_1]) ).
cnf(l2,plain,
( ~ relation(sK105)
| subset(relation_rng_restriction(sK104,sK105),sK105) ),
inference(instantiation,[status(thm)],[479]) ).
fof(dt_k8_relat_1,plain,
! [A,B] :
( relation(B)
=> relation(relation_rng_restriction(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
cnf(320,plain,
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(cnf,[status(esa)],[dt_k8_relat_1]) ).
cnf(l3,plain,
( ~ relation(sK105)
| relation(relation_rng_restriction(sK104,sK105)) ),
inference(instantiation,[status(thm)],[320]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU248+2 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.12 % 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 : Tue Jul 22 00:17:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.37 % launching worker at depth: 9
% 1.67/0.62 % SZS status Theorem for theBenchmark
% 1.67/0.62 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------