%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU010+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 : n018.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 03:44:22 PM UTC 2025
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 38 ( 14 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 33 ( 13 ~; 10 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 13 ( 1 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t42_funct_1,plain,
! [A] :
( ( relation(A)
& function(A) )
=> ( relation_composition(identity_relation(relation_dom(A)),A) = A
& relation_composition(A,identity_relation(relation_rng(A))) = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_funct_1) ).
fof(t42_funct_1_negated,plain,
~ ! [A] :
( ( relation(A)
& function(A) )
=> ( relation_composition(identity_relation(relation_dom(A)),A) = A
& relation_composition(A,identity_relation(relation_rng(A))) = A ) ),
inference(negate_conjecture,[status(cth)],[t42_funct_1]) ).
cnf(53,plain,
( relation_composition(identity_relation(relation_dom(sK10)),sK10) != sK10
| relation_composition(sK10,identity_relation(relation_rng(sK10))) != sK10 ),
inference(cnf,[status(esa)],[t42_funct_1_negated]) ).
cnf(l0,plain,
( relation_composition(identity_relation(relation_dom(sK10)),sK10) != sK10
| relation_composition(sK10,identity_relation(relation_rng(sK10))) != sK10 ),
inference(instantiation,[status(thm)],[53]) ).
fof(t77_relat_1,plain,
! [A,B] :
( relation(B)
=> ( subset(relation_dom(B),A)
=> relation_composition(identity_relation(A),B) = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t77_relat_1) ).
cnf(54,plain,
( ~ relation(X0)
| ~ subset(relation_dom(X0),X1)
| relation_composition(identity_relation(X1),X0) = X0 ),
inference(cnf,[status(esa)],[t77_relat_1]) ).
cnf(l1,plain,
( ~ relation(sK10)
| ~ subset(relation_dom(sK10),relation_dom(sK10))
| relation_composition(identity_relation(relation_dom(sK10)),sK10) = sK10 ),
inference(instantiation,[status(thm)],[54]) ).
fof(t79_relat_1,plain,
! [A,B] :
( relation(B)
=> ( subset(relation_rng(B),A)
=> relation_composition(B,identity_relation(A)) = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t79_relat_1) ).
cnf(55,plain,
( ~ relation(X0)
| ~ subset(relation_rng(X0),X1)
| relation_composition(X0,identity_relation(X1)) = X0 ),
inference(cnf,[status(esa)],[t79_relat_1]) ).
cnf(l9,plain,
( ~ relation(sK10)
| ~ subset(relation_rng(sK10),relation_rng(sK10))
| relation_composition(sK10,identity_relation(relation_rng(sK10))) = sK10 ),
inference(instantiation,[status(thm)],[55]) ).
fof(reflexivity_r1_tarski,plain,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(28,plain,
subset(X0,X0),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(l3,plain,
subset(relation_dom(sK10),relation_dom(sK10)),
inference(instantiation,[status(thm)],[28]) ).
cnf(l11,plain,
subset(relation_rng(sK10),relation_rng(sK10)),
inference(instantiation,[status(thm)],[28]) ).
cnf(51,plain,
relation(sK10),
inference(cnf,[status(esa)],[t42_funct_1_negated]) ).
cnf(l5,plain,
relation(sK10),
inference(instantiation,[status(thm)],[51]) ).
cnf(l10,plain,
relation(sK10),
inference(instantiation,[status(thm)],[51]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l9,l3,l11,l5,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU010+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 : n018.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 23:14:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 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: 3
% 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
%------------------------------------------------------------------------------