%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU041+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n024.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 03:44:24 PM UTC 2025
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 39 ( 14 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 35 ( 13 ~; 10 |; 4 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t82_funct_1,plain,
! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( subset(A,B)
=> ( relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A)
& relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t82_funct_1) ).
fof(t82_funct_1_negated,plain,
~ ! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( subset(A,B)
=> ( relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A)
& relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A) ) ) ),
inference(negate_conjecture,[status(cth)],[t82_funct_1]) ).
cnf(50,plain,
( relation_dom_restriction(relation_dom_restriction(sK14,sK12),sK13) != relation_dom_restriction(sK14,sK12)
| relation_dom_restriction(relation_dom_restriction(sK14,sK13),sK12) != relation_dom_restriction(sK14,sK12) ),
inference(cnf,[status(esa)],[t82_funct_1_negated]) ).
cnf(l0,plain,
( relation_dom_restriction(relation_dom_restriction(sK14,sK12),sK13) != relation_dom_restriction(sK14,sK12)
| relation_dom_restriction(relation_dom_restriction(sK14,sK13),sK12) != relation_dom_restriction(sK14,sK12) ),
inference(instantiation,[status(thm)],[50]) ).
fof(t102_relat_1,plain,
! [A,B,C] :
( relation(C)
=> ( subset(A,B)
=> relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t102_relat_1) ).
cnf(51,plain,
( ~ relation(X0)
| ~ subset(X1,X2)
| relation_dom_restriction(relation_dom_restriction(X0,X1),X2) = relation_dom_restriction(X0,X1) ),
inference(cnf,[status(esa)],[t102_relat_1]) ).
cnf(l1,plain,
( ~ relation(sK14)
| ~ subset(sK12,sK13)
| relation_dom_restriction(relation_dom_restriction(sK14,sK12),sK13) = relation_dom_restriction(sK14,sK12) ),
inference(instantiation,[status(thm)],[51]) ).
fof(t103_relat_1,plain,
! [A,B,C] :
( relation(C)
=> ( subset(A,B)
=> relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t103_relat_1) ).
cnf(52,plain,
( ~ relation(X0)
| ~ subset(X1,X2)
| relation_dom_restriction(relation_dom_restriction(X0,X2),X1) = relation_dom_restriction(X0,X1) ),
inference(cnf,[status(esa)],[t103_relat_1]) ).
cnf(l8,plain,
( ~ relation(sK14)
| ~ subset(sK12,sK13)
| relation_dom_restriction(relation_dom_restriction(sK14,sK13),sK12) = relation_dom_restriction(sK14,sK12) ),
inference(instantiation,[status(thm)],[52]) ).
cnf(47,plain,
relation(sK14),
inference(cnf,[status(esa)],[t82_funct_1_negated]) ).
cnf(l9,plain,
relation(sK14),
inference(instantiation,[status(thm)],[47]) ).
cnf(l7,plain,
relation(sK14),
inference(instantiation,[status(thm)],[47]) ).
cnf(49,plain,
subset(sK12,sK13),
inference(cnf,[status(esa)],[t82_funct_1_negated]) ).
cnf(l10,plain,
subset(sK12,sK13),
inference(instantiation,[status(thm)],[49]) ).
cnf(l2,plain,
subset(sK12,sK13),
inference(instantiation,[status(thm)],[49]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l8,l9,l7,l10,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU041+1 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.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 23:17:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 7
% 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: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------