%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU217+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 03:44:52 PM UTC 2025
% Result : Theorem 0.10s 0.33s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 31 ( 11 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 27 ( 11 ~; 8 |; 3 &)
% ( 1 <=>; 4 =>; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t35_funct_1,plain,
! [A,B] :
( in(B,A)
=> apply(identity_relation(A),B) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_funct_1) ).
fof(t35_funct_1_negated,plain,
~ ! [A,B] :
( in(B,A)
=> apply(identity_relation(A),B) = B ),
inference(negate_conjecture,[status(cth)],[t35_funct_1]) ).
cnf(341,plain,
in(sK89,sK88),
inference(cnf,[status(esa)],[t35_funct_1_negated]) ).
cnf(l0,plain,
in(sK89,sK88),
inference(instantiation,[status(thm)],[341]) ).
fof(t34_funct_1,plain,
! [A,B] :
( ( relation(B)
& function(B) )
=> ( B = identity_relation(A)
<=> ( relation_dom(B) = A
& ! [C] :
( in(C,A)
=> apply(B,C) = C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).
cnf(338,plain,
( ~ in(X0,X1)
| ~ function(X2)
| ~ relation(X2)
| X2 != identity_relation(X1)
| apply(X2,X0) = X0 ),
inference(cnf,[status(esa)],[t34_funct_1]) ).
cnf(l1,plain,
( ~ in(sK89,sK88)
| ~ function(identity_relation(sK88))
| ~ relation(identity_relation(sK88))
| identity_relation(sK88) != identity_relation(sK88)
| apply(identity_relation(sK88),sK89) = sK89 ),
inference(instantiation,[status(thm)],[338]) ).
fof(fc2_funct_1,plain,
! [A] :
( relation(identity_relation(A))
& function(identity_relation(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_1) ).
cnf(213,plain,
function(identity_relation(X0)),
inference(cnf,[status(esa)],[fc2_funct_1]) ).
cnf(l3,plain,
function(identity_relation(sK88)),
inference(instantiation,[status(thm)],[213]) ).
cnf(212,plain,
relation(identity_relation(X0)),
inference(cnf,[status(esa)],[fc2_funct_1]) ).
cnf(l2,plain,
relation(identity_relation(sK88)),
inference(instantiation,[status(thm)],[212]) ).
cnf(342,plain,
apply(identity_relation(sK88),sK89) != sK89,
inference(cnf,[status(esa)],[t35_funct_1_negated]) ).
cnf(l6,plain,
apply(identity_relation(sK88),sK89) != sK89,
inference(instantiation,[status(thm)],[342]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : SEU217+2 : TPTP v9.0.0. Released v3.3.0.
% 0.01/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % Computer : n019.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Jul 22 00:00:18 EDT 2025
% 0.07/0.26 % CPUTime :
% 0.10/0.27 % launching worker at depth: 5
% 0.10/0.27 % launching worker at depth: 1
% 0.10/0.27 % launching worker at depth: 2
% 0.10/0.27 % launching worker at depth: 4
% 0.10/0.27 % launching worker at depth: 3
% 0.10/0.27 % launching worker at depth: 6
% 0.10/0.27 % launching worker at depth: 7
% 0.10/0.27 % launching worker at depth: 8
% 0.10/0.27 % launching worker at depth: 9
% 0.10/0.33 % SZS status Theorem for theBenchmark
% 0.10/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------