%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET633+3 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 03:32:25 PM UTC 2025
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 25 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 7 ~; 4 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th115,plain,
! [B,C,D] :
( ( subset(difference(B,C),D)
& subset(difference(C,B),D) )
=> subset(symmetric_difference(B,C),D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th115) ).
fof(prove_th115_negated,plain,
~ ! [B,C,D] :
( ( subset(difference(B,C),D)
& subset(difference(C,B),D) )
=> subset(symmetric_difference(B,C),D) ),
inference(negate_conjecture,[status(cth)],[prove_th115]) ).
cnf(19,plain,
~ subset(symmetric_difference(sK3,sK4),sK5),
inference(cnf,[status(esa)],[prove_th115_negated]) ).
cnf(l0,plain,
~ subset(symmetric_difference(sK3,sK4),sK5),
inference(instantiation,[status(thm)],[19]) ).
fof(symmetric_difference_defn,plain,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_defn) ).
cnf(0,plain,
symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
inference(cnf,[status(esa)],[symmetric_difference_defn]) ).
cnf(l8,plain,
symmetric_difference(sK3,sK4) = union(difference(sK3,sK4),difference(sK4,sK3)),
inference(instantiation,[status(thm)],[0]) ).
fof(union_subset,plain,
! [B,C,D] :
( ( subset(B,C)
& subset(D,C) )
=> subset(union(B,D),C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_subset) ).
cnf(1,plain,
( ~ subset(X0,X1)
| ~ subset(X2,X1)
| subset(union(X0,X2),X1) ),
inference(cnf,[status(esa)],[union_subset]) ).
cnf(l2,plain,
( ~ subset(difference(sK3,sK4),sK5)
| ~ subset(difference(sK4,sK3),sK5)
| subset(union(difference(sK3,sK4),difference(sK4,sK3)),sK5) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(17,plain,
subset(difference(sK3,sK4),sK5),
inference(cnf,[status(esa)],[prove_th115_negated]) ).
cnf(l4,plain,
subset(difference(sK3,sK4),sK5),
inference(instantiation,[status(thm)],[17]) ).
cnf(18,plain,
subset(difference(sK4,sK3),sK5),
inference(cnf,[status(esa)],[prove_th115_negated]) ).
cnf(l6,plain,
subset(difference(sK4,sK3),sK5),
inference(instantiation,[status(thm)],[18]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l8,l2,l4,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET633+3 : TPTP v9.0.0. Released v2.2.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n026.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 22:10:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 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: 2
% 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
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------