%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU264+1 : 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 : 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 03:45:01 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 33 ( 13 ~; 10 |; 2 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 28 ( 2 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t16_relset_1,plain,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(A,B)
=> relation_of2_as_subset(D,C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_relset_1) ).
fof(t16_relset_1_negated,plain,
~ ! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(A,B)
=> relation_of2_as_subset(D,C,B) ) ),
inference(negate_conjecture,[status(cth)],[t16_relset_1]) ).
cnf(11,plain,
relation_of2_as_subset(sK7,sK6,sK4),
inference(cnf,[status(esa)],[t16_relset_1_negated]) ).
cnf(l0,plain,
relation_of2_as_subset(sK7,sK6,sK4),
inference(instantiation,[status(thm)],[11]) ).
fof(t14_relset_1,plain,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(relation_rng(D),B)
=> relation_of2_as_subset(D,C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_relset_1) ).
cnf(10,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| ~ subset(relation_rng(X0),X3)
| relation_of2_as_subset(X0,X1,X3) ),
inference(cnf,[status(esa)],[t14_relset_1]) ).
cnf(l1,plain,
( ~ relation_of2_as_subset(sK7,sK6,sK4)
| ~ subset(relation_rng(sK7),sK5)
| relation_of2_as_subset(sK7,sK6,sK5) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(13,plain,
~ relation_of2_as_subset(sK7,sK6,sK5),
inference(cnf,[status(esa)],[t16_relset_1_negated]) ).
cnf(l6,plain,
~ relation_of2_as_subset(sK7,sK6,sK5),
inference(instantiation,[status(thm)],[13]) ).
fof(t1_xboole_1,plain,
! [A,B,C] :
( ( subset(A,B)
& subset(B,C) )
=> subset(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
cnf(14,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(cnf,[status(esa)],[t1_xboole_1]) ).
cnf(l2,plain,
( ~ subset(relation_rng(sK7),sK4)
| ~ subset(sK4,sK5)
| subset(relation_rng(sK7),sK5) ),
inference(instantiation,[status(thm)],[14]) ).
fof(t12_relset_1,plain,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> ( subset(relation_dom(C),A)
& subset(relation_rng(C),B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
cnf(9,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| subset(relation_rng(X0),X2) ),
inference(cnf,[status(esa)],[t12_relset_1]) ).
cnf(l5,plain,
( ~ relation_of2_as_subset(sK7,sK6,sK4)
| subset(relation_rng(sK7),sK4) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(12,plain,
subset(sK4,sK5),
inference(cnf,[status(esa)],[t16_relset_1_negated]) ).
cnf(l3,plain,
subset(sK4,sK5),
inference(instantiation,[status(thm)],[12]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l2,l5,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU264+1 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n024.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 : Tue Jul 22 00:22:34 EDT 2025
% 0.13/0.34 % 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: 5
% 0.13/0.34 % launching worker at depth: 3
% 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
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------