%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET027+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 : n017.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 03:31:11 PM UTC 2025
% Result : Theorem 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 12 ~; 10 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_transitivity_of_subset,plain,
! [B,C,D] :
( ( subset(B,C)
& subset(C,D) )
=> subset(B,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subset) ).
fof(prove_transitivity_of_subset_negated,plain,
~ ! [B,C,D] :
( ( subset(B,C)
& subset(C,D) )
=> subset(B,D) ),
inference(negate_conjecture,[status(cth)],[prove_transitivity_of_subset]) ).
cnf(4,plain,
subset(sK2,sK3),
inference(cnf,[status(esa)],[prove_transitivity_of_subset_negated]) ).
cnf(l0,plain,
subset(sK2,sK3),
inference(instantiation,[status(thm)],[4]) ).
fof(subset_defn,plain,
! [B,C] :
( subset(B,C)
<=> ! [D] :
( member(D,B)
=> member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(0,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l1,plain,
( ~ subset(sK2,sK3)
| ~ member(sK1(sK2,sK4),sK2)
| member(sK1(sK2,sK4),sK3) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l2,plain,
( subset(sK2,sK4)
| member(sK1(sK2,sK4),sK2) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l3,plain,
( ~ subset(sK3,sK4)
| ~ member(sK1(sK2,sK4),sK3)
| member(sK1(sK2,sK4),sK4) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
~ subset(sK2,sK4),
inference(cnf,[status(esa)],[prove_transitivity_of_subset_negated]) ).
cnf(l4,plain,
~ subset(sK2,sK4),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l5,plain,
( ~ member(sK1(sK2,sK4),sK4)
| subset(sK2,sK4) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(5,plain,
subset(sK3,sK4),
inference(cnf,[status(esa)],[prove_transitivity_of_subset_negated]) ).
cnf(l6,plain,
subset(sK3,sK4),
inference(instantiation,[status(thm)],[5]) ).
cnf(l7,plain,
~ subset(sK2,sK4),
inference(instantiation,[status(thm)],[6]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET027+3 : TPTP v9.0.0. Released v2.2.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n017.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 : Mon Jul 21 19:23:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 3
% 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: 1
% 0.13/0.34 % launching worker at depth: 2
% 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% SZS status Theorem for theBenchmark
% 0.13/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------