%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU250+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 : n022.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 5.44s 1.02s
% Output : CNFRefutation 5.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 16 ~; 16 |; 3 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t20_wellord1,plain,
! [A,B] :
( relation(B)
=> ( subset(relation_field(relation_restriction(B,A)),relation_field(B))
& subset(relation_field(relation_restriction(B,A)),A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_wellord1) ).
fof(t20_wellord1_negated,plain,
~ ! [A,B] :
( relation(B)
=> ( subset(relation_field(relation_restriction(B,A)),relation_field(B))
& subset(relation_field(relation_restriction(B,A)),A) ) ),
inference(negate_conjecture,[status(cth)],[t20_wellord1]) ).
cnf(33,plain,
( ~ subset(relation_field(relation_restriction(sK9,sK8)),relation_field(sK9))
| ~ subset(relation_field(relation_restriction(sK9,sK8)),sK8) ),
inference(cnf,[status(esa)],[t20_wellord1_negated]) ).
cnf(l0,plain,
( ~ subset(relation_field(relation_restriction(sK9,sK8)),relation_field(sK9))
| ~ subset(relation_field(relation_restriction(sK9,sK8)),sK8) ),
inference(instantiation,[status(thm)],[33]) ).
fof(d3_tarski,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(6,plain,
( in(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l1,plain,
( in(sK1(relation_field(relation_restriction(sK9,sK8)),relation_field(sK9)),relation_field(relation_restriction(sK9,sK8)))
| subset(relation_field(relation_restriction(sK9,sK8)),relation_field(sK9)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
( ~ in(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l21,plain,
( ~ in(sK1(relation_field(relation_restriction(sK9,sK8)),sK8),sK8)
| subset(relation_field(relation_restriction(sK9,sK8)),sK8) ),
inference(instantiation,[status(thm)],[7]) ).
fof(t19_wellord1,plain,
! [A,B,C] :
( relation(C)
=> ( in(A,relation_field(relation_restriction(C,B)))
=> ( in(A,relation_field(C))
& in(A,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_wellord1) ).
cnf(28,plain,
( ~ in(X0,relation_field(relation_restriction(X1,X2)))
| ~ relation(X1)
| in(X0,relation_field(X1)) ),
inference(cnf,[status(esa)],[t19_wellord1]) ).
cnf(l2,plain,
( ~ in(sK1(relation_field(relation_restriction(sK9,sK8)),relation_field(sK9)),relation_field(relation_restriction(sK9,sK8)))
| ~ relation(sK9)
| in(sK1(relation_field(relation_restriction(sK9,sK8)),relation_field(sK9)),relation_field(sK9)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l12,plain,
( ~ in(sK1(relation_field(relation_restriction(sK9,sK8)),relation_field(sK9)),relation_field(sK9))
| subset(relation_field(relation_restriction(sK9,sK8)),relation_field(sK9)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(32,plain,
relation(sK9),
inference(cnf,[status(esa)],[t20_wellord1_negated]) ).
cnf(l11,plain,
relation(sK9),
inference(instantiation,[status(thm)],[32]) ).
cnf(29,plain,
( ~ in(X0,relation_field(relation_restriction(X1,X2)))
| ~ relation(X1)
| in(X0,X2) ),
inference(cnf,[status(esa)],[t19_wellord1]) ).
cnf(l24,plain,
( ~ in(sK1(relation_field(relation_restriction(sK9,sK8)),sK8),relation_field(relation_restriction(sK9,sK8)))
| ~ relation(sK9)
| in(sK1(relation_field(relation_restriction(sK9,sK8)),sK8),sK8) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l27,plain,
relation(sK9),
inference(instantiation,[status(thm)],[32]) ).
cnf(l26,plain,
( in(sK1(relation_field(relation_restriction(sK9,sK8)),sK8),relation_field(relation_restriction(sK9,sK8)))
| subset(relation_field(relation_restriction(sK9,sK8)),sK8) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l21,l2,l12,l11,l24,l27,l26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU250+1 : 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 : n022.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 00:17:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 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: 3
% 0.12/0.34 % launching worker at depth: 4
% 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
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 5.44/1.02 % SZS status Theorem for theBenchmark
% 5.44/1.02 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------