%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET677+3 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n024.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 03:32:30 PM UTC 2025
% Result : Theorem 3.52s 0.78s
% Output : CNFRefutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 18 unt; 0 def)
% Number of atoms : 80 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 78 ( 30 ~; 27 |; 4 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 22 ( 1 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_relset_1_44,plain,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,identity_relation_of_type(B))
=> ( subset(identity_relation_of(B),C)
=> ( B = domain(B,B,C)
& B = range(B,B,C) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_44) ).
fof(prove_relset_1_44_negated,plain,
~ ! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,identity_relation_of_type(B))
=> ( subset(identity_relation_of(B),C)
=> ( B = domain(B,B,C)
& B = range(B,B,C) ) ) ) ),
inference(negate_conjecture,[status(cth)],[prove_relset_1_44]) ).
cnf(66,plain,
( sK16 != domain(sK16,sK16,sK17)
| sK16 != range(sK16,sK16,sK17) ),
inference(cnf,[status(esa)],[prove_relset_1_44_negated]) ).
cnf(l0,plain,
( sK16 != domain(sK16,sK16,sK17)
| sK16 != range(sK16,sK16,sK17) ),
inference(instantiation,[status(thm)],[66]) ).
fof(p2,plain,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( subset(identity_relation_of(C),D)
=> ( subset(C,domain(B,C,D))
& C = range(B,C,D) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
cnf(3,plain,
( ~ subset(identity_relation_of(X0),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X2,X0))
| X0 = range(X2,X0,X1) ),
inference(cnf,[status(esa)],[p2]) ).
cnf(l61,plain,
( ~ subset(identity_relation_of(sK16),sK17)
| ~ ilf_type(sK16,set_type)
| ~ ilf_type(sK16,set_type)
| ~ ilf_type(sK17,relation_type(sK16,sK16))
| sK16 = range(sK16,sK16,sK17) ),
inference(instantiation,[status(thm)],[3]) ).
fof(p34,plain,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34) ).
cnf(62,plain,
ilf_type(X0,set_type),
inference(cnf,[status(esa)],[p34]) ).
cnf(l66,plain,
ilf_type(sK16,set_type),
inference(instantiation,[status(thm)],[62]) ).
fof(p5,plain,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ilf_type(C,identity_relation_of_type(B))
<=> ilf_type(C,relation_type(B,B)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5) ).
cnf(8,plain,
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,identity_relation_of_type(X0))
| ilf_type(X1,relation_type(X0,X0)) ),
inference(cnf,[status(esa)],[p5]) ).
cnf(l69,plain,
( ~ ilf_type(sK16,set_type)
| ~ ilf_type(sK17,set_type)
| ~ ilf_type(sK17,identity_relation_of_type(sK16))
| ilf_type(sK17,relation_type(sK16,sK16)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(64,plain,
ilf_type(sK17,identity_relation_of_type(sK16)),
inference(cnf,[status(esa)],[prove_relset_1_44_negated]) ).
cnf(l71,plain,
ilf_type(sK17,identity_relation_of_type(sK16)),
inference(instantiation,[status(thm)],[64]) ).
cnf(63,plain,
ilf_type(sK16,set_type),
inference(cnf,[status(esa)],[prove_relset_1_44_negated]) ).
cnf(l72,plain,
ilf_type(sK16,set_type),
inference(instantiation,[status(thm)],[63]) ).
cnf(l74,plain,
ilf_type(sK17,set_type),
inference(instantiation,[status(thm)],[62]) ).
fof(p1,plain,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(C,B))
=> ( subset(identity_relation_of(C),D)
=> ( C = domain(C,B,D)
& subset(C,range(C,B,D)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(0,plain,
( ~ subset(identity_relation_of(X0),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X0,X2))
| X0 = domain(X0,X2,X1) ),
inference(cnf,[status(esa)],[p1]) ).
cnf(l1,plain,
( ~ subset(identity_relation_of(sK16),sK17)
| ~ ilf_type(sK16,set_type)
| ~ ilf_type(sK16,set_type)
| ~ ilf_type(sK17,relation_type(sK16,sK16))
| sK16 = domain(sK16,sK16,sK17) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
ilf_type(sK16,set_type),
inference(instantiation,[status(thm)],[63]) ).
cnf(65,plain,
subset(identity_relation_of(sK16),sK17),
inference(cnf,[status(esa)],[prove_relset_1_44_negated]) ).
cnf(l16,plain,
subset(identity_relation_of(sK16),sK17),
inference(instantiation,[status(thm)],[65]) ).
cnf(l12,plain,
ilf_type(sK16,set_type),
inference(instantiation,[status(thm)],[62]) ).
cnf(l2,plain,
( ~ ilf_type(sK16,set_type)
| ~ ilf_type(sK17,set_type)
| ~ ilf_type(sK17,identity_relation_of_type(sK16))
| ilf_type(sK17,relation_type(sK16,sK16)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l18,plain,
ilf_type(sK17,identity_relation_of_type(sK16)),
inference(instantiation,[status(thm)],[64]) ).
cnf(l8,plain,
ilf_type(sK16,set_type),
inference(instantiation,[status(thm)],[63]) ).
cnf(l4,plain,
ilf_type(sK17,set_type),
inference(instantiation,[status(thm)],[62]) ).
cnf(l67,plain,
ilf_type(sK16,set_type),
inference(instantiation,[status(thm)],[62]) ).
cnf(l62,plain,
subset(identity_relation_of(sK16),sK17),
inference(instantiation,[status(thm)],[65]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l61,l66,l69,l71,l72,l74,l1,l5,l16,l12,l2,l18,l8,l4,l67,l62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET677+3 : TPTP v9.0.0. Released v2.2.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.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 22:17:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 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: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.37 % launching worker at depth: 10
% 3.52/0.78 % SZS status Theorem for theBenchmark
% 3.52/0.78 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------