%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU046+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 : n020.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 03:44:25 PM UTC 2025
% Result : Theorem 0.18s 0.41s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 79 ( 4 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 80 ( 30 ~; 28 |; 10 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 4 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t89_funct_1,plain,
! [A,B] :
( ( relation(B)
& function(B) )
=> ( subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B))
& subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t89_funct_1) ).
fof(t89_funct_1_negated,plain,
~ ! [A,B] :
( ( relation(B)
& function(B) )
=> ( subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B))
& subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ) ),
inference(negate_conjecture,[status(cth)],[t89_funct_1]) ).
cnf(65,plain,
relation(sK16),
inference(cnf,[status(esa)],[t89_funct_1_negated]) ).
cnf(l0,plain,
relation(sK16),
inference(instantiation,[status(thm)],[65]) ).
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(54,plain,
( ~ in(X0,relation_dom(X1))
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| X1 != relation_rng_restriction(X3,X2)
| in(X0,relation_dom(X2)) ),
inference(cnf,[status(esa)],[t85_funct_1]) ).
cnf(l1,plain,
( ~ in(sK1(relation_dom(relation_rng_restriction(sK15,sK16)),relation_dom(sK16)),relation_dom(relation_rng_restriction(sK15,sK16)))
| ~ function(relation_rng_restriction(sK15,sK16))
| ~ function(sK16)
| ~ relation(relation_rng_restriction(sK15,sK16))
| ~ relation(sK16)
| relation_rng_restriction(sK15,sK16) != relation_rng_restriction(sK15,sK16)
| in(sK1(relation_dom(relation_rng_restriction(sK15,sK16)),relation_dom(sK16)),relation_dom(sK16)) ),
inference(instantiation,[status(thm)],[54]) ).
fof(d3_tarski,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(5,plain,
( in(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l3,plain,
( in(sK1(relation_dom(relation_rng_restriction(sK15,sK16)),relation_dom(sK16)),relation_dom(relation_rng_restriction(sK15,sK16)))
| subset(relation_dom(relation_rng_restriction(sK15,sK16)),relation_dom(sK16)) ),
inference(instantiation,[status(thm)],[5]) ).
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(17,plain,
( ~ function(X0)
| ~ relation(X0)
| function(relation_rng_restriction(X1,X0)) ),
inference(cnf,[status(esa)],[fc5_funct_1]) ).
cnf(l2,plain,
( ~ function(sK16)
| ~ relation(sK16)
| function(relation_rng_restriction(sK15,sK16)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(66,plain,
function(sK16),
inference(cnf,[status(esa)],[t89_funct_1_negated]) ).
cnf(l37,plain,
function(sK16),
inference(instantiation,[status(thm)],[66]) ).
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(7,plain,
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(cnf,[status(esa)],[dt_k8_relat_1]) ).
cnf(l35,plain,
( ~ relation(sK16)
| relation(relation_rng_restriction(sK15,sK16)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l8,plain,
function(sK16),
inference(instantiation,[status(thm)],[66]) ).
cnf(67,plain,
( ~ subset(relation_dom(relation_rng_restriction(sK15,sK16)),relation_dom(sK16))
| ~ subset(relation_rng(relation_rng_restriction(sK15,sK16)),relation_rng(sK16)) ),
inference(cnf,[status(esa)],[t89_funct_1_negated]) ).
cnf(l14,plain,
( ~ subset(relation_dom(relation_rng_restriction(sK15,sK16)),relation_dom(sK16))
| ~ subset(relation_rng(relation_rng_restriction(sK15,sK16)),relation_rng(sK16)) ),
inference(instantiation,[status(thm)],[67]) ).
fof(t118_relat_1,plain,
! [A,B] :
( relation(B)
=> subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_relat_1) ).
cnf(45,plain,
( ~ relation(X0)
| subset(relation_rng(relation_rng_restriction(X1,X0)),relation_rng(X0)) ),
inference(cnf,[status(esa)],[t118_relat_1]) ).
cnf(l50,plain,
( ~ relation(sK16)
| subset(relation_rng(relation_rng_restriction(sK15,sK16)),relation_rng(sK16)) ),
inference(instantiation,[status(thm)],[45]) ).
cnf(6,plain,
( ~ in(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l10,plain,
( ~ in(sK1(relation_dom(relation_rng_restriction(sK15,sK16)),relation_dom(sK16)),relation_dom(sK16))
| subset(relation_dom(relation_rng_restriction(sK15,sK16)),relation_dom(sK16)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l15,plain,
( ~ subset(relation_dom(relation_rng_restriction(sK15,sK16)),relation_dom(sK16))
| ~ subset(relation_rng(relation_rng_restriction(sK15,sK16)),relation_rng(sK16)) ),
inference(instantiation,[status(thm)],[67]) ).
cnf(l70,plain,
( ~ relation(sK16)
| subset(relation_rng(relation_rng_restriction(sK15,sK16)),relation_rng(sK16)) ),
inference(instantiation,[status(thm)],[45]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l37,l35,l8,l14,l50,l10,l15,l70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU046+1 : TPTP v9.0.0. Released v3.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 23:18:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.18/0.41 % SZS status Theorem for theBenchmark
% 0.18/0.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------