%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU045+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 : 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 03:44:24 PM UTC 2025
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 58 ( 10 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 58 ( 21 ~; 18 |; 8 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 3 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t87_funct_1,plain,
! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( in(B,relation_dom(relation_rng_restriction(A,C)))
=> apply(relation_rng_restriction(A,C),B) = apply(C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t87_funct_1) ).
fof(t87_funct_1_negated,plain,
~ ! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( in(B,relation_dom(relation_rng_restriction(A,C)))
=> apply(relation_rng_restriction(A,C),B) = apply(C,B) ) ),
inference(negate_conjecture,[status(cth)],[t87_funct_1]) ).
cnf(48,plain,
relation(sK14),
inference(cnf,[status(esa)],[t87_funct_1_negated]) ).
cnf(l0,plain,
relation(sK14),
inference(instantiation,[status(thm)],[48]) ).
fof(t85_funct_1,plain,
! [A,B] :
( ( relation(B)
& function(B) )
=> ! [C] :
( ( relation(C)
& function(C) )
=> ( B = relation_rng_restriction(A,C)
<=> ( ! [D] :
( in(D,relation_dom(B))
<=> ( in(D,relation_dom(C))
& in(apply(C,D),A) ) )
& ! [D] :
( in(D,relation_dom(B))
=> apply(B,D) = apply(C,D) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_funct_1) ).
cnf(55,plain,
( ~ relation(X0)
| ~ relation(X1)
| ~ in(X2,relation_dom(X0))
| ~ function(X0)
| ~ function(X1)
| X0 != relation_rng_restriction(X3,X1)
| apply(X0,X2) = apply(X1,X2) ),
inference(cnf,[status(esa)],[t85_funct_1]) ).
cnf(l1,plain,
( ~ relation(relation_rng_restriction(sK12,sK14))
| ~ relation(sK14)
| ~ in(sK13,relation_dom(relation_rng_restriction(sK12,sK14)))
| ~ function(relation_rng_restriction(sK12,sK14))
| ~ function(sK14)
| relation_rng_restriction(sK12,sK14) != relation_rng_restriction(sK12,sK14)
| apply(relation_rng_restriction(sK12,sK14),sK13) = apply(sK14,sK13) ),
inference(instantiation,[status(thm)],[55]) ).
fof(fc5_funct_1,plain,
! [A,B] :
( ( relation(B)
& function(B) )
=> ( relation(relation_rng_restriction(A,B))
& function(relation_rng_restriction(A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_funct_1) ).
cnf(25,plain,
( ~ relation(X0)
| ~ function(X0)
| function(relation_rng_restriction(X1,X0)) ),
inference(cnf,[status(esa)],[fc5_funct_1]) ).
cnf(l4,plain,
( ~ relation(sK14)
| ~ function(sK14)
| function(relation_rng_restriction(sK12,sK14)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(49,plain,
function(sK14),
inference(cnf,[status(esa)],[t87_funct_1_negated]) ).
cnf(l13,plain,
function(sK14),
inference(instantiation,[status(thm)],[49]) ).
cnf(l6,plain,
function(sK14),
inference(instantiation,[status(thm)],[49]) ).
fof(dt_k8_relat_1,plain,
! [A,B] :
( relation(B)
=> relation(relation_rng_restriction(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
cnf(23,plain,
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(cnf,[status(esa)],[dt_k8_relat_1]) ).
cnf(l3,plain,
( ~ relation(sK14)
| relation(relation_rng_restriction(sK12,sK14)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(50,plain,
in(sK13,relation_dom(relation_rng_restriction(sK12,sK14))),
inference(cnf,[status(esa)],[t87_funct_1_negated]) ).
cnf(l8,plain,
in(sK13,relation_dom(relation_rng_restriction(sK12,sK14))),
inference(instantiation,[status(thm)],[50]) ).
cnf(51,plain,
apply(relation_rng_restriction(sK12,sK14),sK13) != apply(sK14,sK13),
inference(cnf,[status(esa)],[t87_funct_1_negated]) ).
cnf(l2,plain,
apply(relation_rng_restriction(sK12,sK14),sK13) != apply(sK14,sK13),
inference(instantiation,[status(thm)],[51]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l13,l6,l3,l8,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU045+1 : TPTP v9.0.0. Released v3.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 23:18:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------