%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW469+1 : TPTP v9.0.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 05:04:22 PM UTC 2025
% Result : Theorem 0.16s 0.42s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 34 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 15 ~; 9 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,plain,
! [T] :
( is_state(T)
=> ~ ! [S] :
( is_state(S)
=> S = T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(conj_1_negated,plain,
~ ! [T] :
( is_state(T)
=> ~ ! [S] :
( is_state(S)
=> S = T ) ),
inference(negate_conjecture,[status(cth)],[conj_1]) ).
cnf(10,plain,
( ~ is_state(X0)
| X0 = sK5 ),
inference(cnf,[status(esa)],[conj_1_negated]) ).
cnf(l0,plain,
( ~ is_state(sK2)
| sK2 = sK5 ),
inference(instantiation,[status(thm)],[10]) ).
fof(fact_0_state__not__singleton__def,plain,
( hoare_165779456gleton
<=> ? [S,T] :
( is_state(S)
& is_state(T)
& S != T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
cnf(2,plain,
( ~ hoare_165779456gleton
| is_state(sK2) ),
inference(cnf,[status(esa)],[fact_0_state__not__singleton__def]) ).
cnf(l1,plain,
( ~ hoare_165779456gleton
| is_state(sK2) ),
inference(instantiation,[status(thm)],[2]) ).
fof(conj_0,plain,
hoare_165779456gleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
cnf(8,plain,
hoare_165779456gleton,
inference(cnf,[status(esa)],[conj_0]) ).
cnf(l2,plain,
hoare_165779456gleton,
inference(instantiation,[status(thm)],[8]) ).
cnf(l52,plain,
( ~ is_state(sK1)
| sK1 = sK5 ),
inference(instantiation,[status(thm)],[10]) ).
cnf(3,plain,
( sK1 != sK2
| ~ hoare_165779456gleton ),
inference(cnf,[status(esa)],[fact_0_state__not__singleton__def]) ).
cnf(l107,plain,
( sK1 != sK2
| ~ hoare_165779456gleton ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l109,plain,
hoare_165779456gleton,
inference(instantiation,[status(thm)],[8]) ).
cnf(1,plain,
( ~ hoare_165779456gleton
| is_state(sK1) ),
inference(cnf,[status(esa)],[fact_0_state__not__singleton__def]) ).
cnf(l69,plain,
( ~ hoare_165779456gleton
| is_state(sK1) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l101,plain,
hoare_165779456gleton,
inference(instantiation,[status(thm)],[8]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l52,l107,l109,l69,l101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWW469+1 : TPTP v9.0.0. Released v5.3.0.
% 0.09/0.11 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.31 % Computer : n021.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Jul 22 13:55:04 EDT 2025
% 0.11/0.31 % CPUTime :
% 0.16/0.32 % launching worker at depth: 1
% 0.16/0.32 % launching worker at depth: 2
% 0.16/0.32 % launching worker at depth: 3
% 0.16/0.32 % launching worker at depth: 4
% 0.16/0.32 % launching worker at depth: 5
% 0.16/0.32 % launching worker at depth: 6
% 0.16/0.32 % launching worker at depth: 7
% 0.16/0.32 % launching worker at depth: 8
% 0.16/0.32 % launching worker at depth: 9
% 0.16/0.32 % launching worker at depth: 10
% 0.16/0.34 % launching worker at depth: 11
% 0.16/0.42 % SZS status Theorem for theBenchmark
% 0.16/0.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------