%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU198+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 03:44:48 PM UTC 2025
% Result : Theorem 128.39s 16.48s
% Output : CNFRefutation 128.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 10 ~; 8 |; 1 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t116_relat_1,plain,
! [A,B] :
( relation(B)
=> subset(relation_rng(relation_rng_restriction(A,B)),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t116_relat_1) ).
fof(t116_relat_1_negated,plain,
~ ! [A,B] :
( relation(B)
=> subset(relation_rng(relation_rng_restriction(A,B)),A) ),
inference(negate_conjecture,[status(cth)],[t116_relat_1]) ).
cnf(249,plain,
relation(sK70),
inference(cnf,[status(esa)],[t116_relat_1_negated]) ).
cnf(l0,plain,
relation(sK70),
inference(instantiation,[status(thm)],[249]) ).
fof(t115_relat_1,plain,
! [A,B,C] :
( relation(C)
=> ( in(A,relation_rng(relation_rng_restriction(B,C)))
<=> ( in(A,B)
& in(A,relation_rng(C)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t115_relat_1) ).
cnf(246,plain,
( ~ in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ~ relation(X2)
| in(X0,X1) ),
inference(cnf,[status(esa)],[t115_relat_1]) ).
cnf(l1,plain,
( ~ in(sK34(relation_rng(relation_rng_restriction(sK69,sK70)),sK69),relation_rng(relation_rng_restriction(sK69,sK70)))
| ~ relation(sK70)
| in(sK34(relation_rng(relation_rng_restriction(sK69,sK70)),sK69),sK69) ),
inference(instantiation,[status(thm)],[246]) ).
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(100,plain,
( in(sK34(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l3,plain,
( in(sK34(relation_rng(relation_rng_restriction(sK69,sK70)),sK69),relation_rng(relation_rng_restriction(sK69,sK70)))
| subset(relation_rng(relation_rng_restriction(sK69,sK70)),sK69) ),
inference(instantiation,[status(thm)],[100]) ).
cnf(250,plain,
~ subset(relation_rng(relation_rng_restriction(sK69,sK70)),sK69),
inference(cnf,[status(esa)],[t116_relat_1_negated]) ).
cnf(l7,plain,
~ subset(relation_rng(relation_rng_restriction(sK69,sK70)),sK69),
inference(instantiation,[status(thm)],[250]) ).
cnf(101,plain,
( ~ in(sK34(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l8,plain,
( ~ in(sK34(relation_rng(relation_rng_restriction(sK69,sK70)),sK69),sK69)
| subset(relation_rng(relation_rng_restriction(sK69,sK70)),sK69) ),
inference(instantiation,[status(thm)],[101]) ).
cnf(l15,plain,
~ subset(relation_rng(relation_rng_restriction(sK69,sK70)),sK69),
inference(instantiation,[status(thm)],[250]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l7,l8,l15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU198+2 : TPTP v9.0.0. Released v3.3.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n018.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Jul 21 23:53:04 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.30 % launching worker at depth: 2
% 0.08/0.30 % launching worker at depth: 4
% 0.08/0.30 % launching worker at depth: 3
% 0.08/0.30 % launching worker at depth: 5
% 0.08/0.30 % launching worker at depth: 6
% 0.08/0.30 % launching worker at depth: 7
% 0.08/0.30 % launching worker at depth: 1
% 0.08/0.30 % launching worker at depth: 8
% 0.13/0.32 % launching worker at depth: 9
% 0.13/0.42 % launching worker at depth: 10
% 128.39/16.48 % SZS status Theorem for theBenchmark
% 128.39/16.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------