%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU044+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 0.15s 0.54s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 45 ( 18 unt; 0 def)
% Number of atoms : 126 ( 8 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 138 ( 57 ~; 60 |; 10 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 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 : 31 ( 3 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t86_funct_1,plain,
! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( in(B,relation_dom(relation_rng_restriction(A,C)))
<=> ( in(B,relation_dom(C))
& in(apply(C,B),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_funct_1) ).
fof(t86_funct_1_negated,plain,
~ ! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( in(B,relation_dom(relation_rng_restriction(A,C)))
<=> ( in(B,relation_dom(C))
& in(apply(C,B),A) ) ) ),
inference(negate_conjecture,[status(cth)],[t86_funct_1]) ).
cnf(52,plain,
( ~ in(apply(sK14,sK13),sK12)
| ~ in(sK13,relation_dom(relation_rng_restriction(sK12,sK14)))
| ~ in(sK13,relation_dom(sK14)) ),
inference(cnf,[status(esa)],[t86_funct_1_negated]) ).
cnf(l0,plain,
( ~ in(apply(sK14,sK13),sK12)
| ~ in(sK13,relation_dom(relation_rng_restriction(sK12,sK14)))
| ~ in(sK13,relation_dom(sK14)) ),
inference(instantiation,[status(thm)],[52]) ).
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/sandbox2/benchmark/theBenchmark.p',t85_funct_1) ).
cnf(53,plain,
( ~ relation(X0)
| ~ relation(X1)
| ~ in(X2,relation_dom(X0))
| ~ function(X0)
| ~ function(X1)
| X0 != relation_rng_restriction(X3,X1)
| in(X2,relation_dom(X1)) ),
inference(cnf,[status(esa)],[t85_funct_1]) ).
cnf(l173,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)
| in(sK13,relation_dom(sK14)) ),
inference(instantiation,[status(thm)],[53]) ).
cnf(49,plain,
function(sK14),
inference(cnf,[status(esa)],[t86_funct_1_negated]) ).
cnf(l188,plain,
function(sK14),
inference(instantiation,[status(thm)],[49]) ).
cnf(54,plain,
( ~ relation(X0)
| ~ relation(X1)
| ~ in(X2,relation_dom(X0))
| ~ function(X0)
| ~ function(X1)
| X0 != relation_rng_restriction(X3,X1)
| in(apply(X1,X2),X3) ),
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)
| in(apply(sK14,sK13),sK12) ),
inference(instantiation,[status(thm)],[54]) ).
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/sandbox2/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(l5,plain,
( ~ relation(sK14)
| ~ function(sK14)
| function(relation_rng_restriction(sK12,sK14)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(50,plain,
( in(sK13,relation_dom(relation_rng_restriction(sK12,sK14)))
| in(sK13,relation_dom(sK14)) ),
inference(cnf,[status(esa)],[t86_funct_1_negated]) ).
cnf(l178,plain,
( in(sK13,relation_dom(relation_rng_restriction(sK12,sK14)))
| in(sK13,relation_dom(sK14)) ),
inference(instantiation,[status(thm)],[50]) ).
cnf(48,plain,
relation(sK14),
inference(cnf,[status(esa)],[t86_funct_1_negated]) ).
cnf(l174,plain,
relation(sK14),
inference(instantiation,[status(thm)],[48]) ).
cnf(l61,plain,
relation(sK14),
inference(instantiation,[status(thm)],[48]) ).
fof(dt_k8_relat_1,plain,
! [A,B] :
( relation(B)
=> relation(relation_rng_restriction(A,B)) ),
file('/export/starexec/sandbox2/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(l9,plain,
function(sK14),
inference(instantiation,[status(thm)],[49]) ).
cnf(l185,plain,
( ~ relation(sK14)
| ~ function(sK14)
| function(relation_rng_restriction(sK12,sK14)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l202,plain,
function(sK14),
inference(instantiation,[status(thm)],[49]) ).
cnf(l34,plain,
relation(sK14),
inference(instantiation,[status(thm)],[48]) ).
cnf(l20,plain,
function(sK14),
inference(instantiation,[status(thm)],[49]) ).
cnf(l186,plain,
relation(sK14),
inference(instantiation,[status(thm)],[48]) ).
cnf(l177,plain,
( ~ relation(sK14)
| relation(relation_rng_restriction(sK12,sK14)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(51,plain,
( in(apply(sK14,sK13),sK12)
| in(sK13,relation_dom(relation_rng_restriction(sK12,sK14))) ),
inference(cnf,[status(esa)],[t86_funct_1_negated]) ).
cnf(l7,plain,
( in(apply(sK14,sK13),sK12)
| in(sK13,relation_dom(relation_rng_restriction(sK12,sK14))) ),
inference(instantiation,[status(thm)],[51]) ).
cnf(l182,plain,
relation(sK14),
inference(instantiation,[status(thm)],[48]) ).
cnf(l12,plain,
relation(sK14),
inference(instantiation,[status(thm)],[48]) ).
cnf(55,plain,
( ~ relation(X0)
| ~ relation(X1)
| ~ in(X2,relation_dom(X1))
| ~ in(apply(X1,X2),X3)
| ~ function(X0)
| ~ function(X1)
| X0 != relation_rng_restriction(X3,X1)
| in(X2,relation_dom(X0)) ),
inference(cnf,[status(esa)],[t85_funct_1]) ).
cnf(l97,plain,
( ~ relation(relation_rng_restriction(sK12,sK14))
| ~ relation(sK14)
| ~ in(sK13,relation_dom(sK14))
| ~ in(apply(sK14,sK13),sK12)
| ~ function(relation_rng_restriction(sK12,sK14))
| ~ function(sK14)
| relation_rng_restriction(sK12,sK14) != relation_rng_restriction(sK12,sK14)
| in(sK13,relation_dom(relation_rng_restriction(sK12,sK14))) ),
inference(instantiation,[status(thm)],[55]) ).
cnf(l145,plain,
( in(sK13,relation_dom(relation_rng_restriction(sK12,sK14)))
| in(sK13,relation_dom(sK14)) ),
inference(instantiation,[status(thm)],[50]) ).
cnf(l102,plain,
( ~ relation(sK14)
| relation(relation_rng_restriction(sK12,sK14)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l109,plain,
( ~ relation(sK14)
| ~ function(sK14)
| function(relation_rng_restriction(sK12,sK14)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l105,plain,
( in(apply(sK14,sK13),sK12)
| in(sK13,relation_dom(relation_rng_restriction(sK12,sK14))) ),
inference(instantiation,[status(thm)],[51]) ).
cnf(l98,plain,
relation(sK14),
inference(instantiation,[status(thm)],[48]) ).
cnf(l107,plain,
function(sK14),
inference(instantiation,[status(thm)],[49]) ).
cnf(l123,plain,
relation(sK14),
inference(instantiation,[status(thm)],[48]) ).
cnf(l103,plain,
relation(sK14),
inference(instantiation,[status(thm)],[48]) ).
cnf(l124,plain,
function(sK14),
inference(instantiation,[status(thm)],[49]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l173,l188,l1,l5,l178,l174,l61,l3,l9,l185,l202,l34,l20,l186,l177,l7,l182,l12,l97,l145,l102,l109,l105,l98,l107,l123,l103,l124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU044+1 : TPTP v9.0.0. Released v3.2.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % Computer : n023.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Jul 21 23:18:04 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % launching worker at depth: 1
% 0.10/0.31 % launching worker at depth: 7
% 0.10/0.31 % launching worker at depth: 3
% 0.10/0.31 % launching worker at depth: 4
% 0.10/0.31 % launching worker at depth: 5
% 0.10/0.31 % launching worker at depth: 6
% 0.10/0.31 % launching worker at depth: 2
% 0.10/0.31 % launching worker at depth: 8
% 0.10/0.31 % launching worker at depth: 9
% 0.15/0.33 % launching worker at depth: 10
% 0.15/0.54 % SZS status Theorem for theBenchmark
% 0.15/0.54 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------