%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET095+4 : 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 03:31:31 PM UTC 2025
% Result : Theorem 95.52s 12.40s
% Output : CNFRefutation 95.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 47 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 17 ~; 15 |; 1 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 4 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI44,plain,
! [A,X] :
( member(X,A)
=> subset(singleton(X),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI44) ).
fof(thI44_negated,plain,
~ ! [A,X] :
( member(X,A)
=> subset(singleton(X),A) ),
inference(negate_conjecture,[status(cth)],[thI44]) ).
cnf(29,plain,
member(sK6,sK5),
inference(cnf,[status(esa)],[thI44_negated]) ).
cnf(l0,plain,
member(sK6,sK5),
inference(instantiation,[status(thm)],[29]) ).
fof(difference,plain,
! [B,A,E] :
( member(B,difference(E,A))
<=> ( member(B,E)
& ~ member(B,A) ) ),
file('Axioms/SET006+0.ax',difference) ).
cnf(16,plain,
( ~ member(X0,X1)
| ~ member(X0,difference(X2,X1)) ),
inference(cnf,[status(esa)],[difference]) ).
cnf(l1,plain,
( ~ member(sK6,sK5)
| ~ member(sK6,difference(unordered_pair(sK1(singleton(sK6),sK5),X2_41),sK5)) ),
inference(instantiation,[status(thm)],[16]) ).
fof(singleton,plain,
! [X,A] :
( member(X,singleton(A))
<=> X = A ),
file('Axioms/SET006+0.ax',singleton) ).
cnf(18,plain,
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(cnf,[status(esa)],[singleton]) ).
cnf(l29,plain,
( ~ member(sK1(singleton(sK6),sK5),singleton(sK6))
| sK1(singleton(sK6),sK5) = sK6 ),
inference(instantiation,[status(thm)],[18]) ).
fof(subset,plain,
! [A,B] :
( subset(A,B)
<=> ! [X] :
( member(X,A)
=> member(X,B) ) ),
file('Axioms/SET006+0.ax',subset) ).
cnf(1,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l31,plain,
( subset(singleton(sK6),sK5)
| member(sK1(singleton(sK6),sK5),singleton(sK6)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(30,plain,
~ subset(singleton(sK6),sK5),
inference(cnf,[status(esa)],[thI44_negated]) ).
cnf(l32,plain,
~ subset(singleton(sK6),sK5),
inference(instantiation,[status(thm)],[30]) ).
cnf(17,plain,
( ~ member(X0,X1)
| member(X0,X2)
| member(X0,difference(X1,X2)) ),
inference(cnf,[status(esa)],[difference]) ).
cnf(l28,plain,
( ~ member(sK1(singleton(sK6),sK5),unordered_pair(sK1(singleton(sK6),sK5),X2_41))
| member(sK1(singleton(sK6),sK5),sK5)
| member(sK1(singleton(sK6),sK5),difference(unordered_pair(sK1(singleton(sK6),sK5),X2_41),sK5)) ),
inference(instantiation,[status(thm)],[17]) ).
fof(unordered_pair,plain,
! [X,A,B] :
( member(X,unordered_pair(A,B))
<=> ( X = A
| X = B ) ),
file('Axioms/SET006+0.ax',unordered_pair) ).
cnf(21,plain,
( X0 != X1
| member(X0,unordered_pair(X1,X2)) ),
inference(cnf,[status(esa)],[unordered_pair]) ).
cnf(l41,plain,
( sK1(singleton(sK6),sK5) != sK1(singleton(sK6),sK5)
| member(sK1(singleton(sK6),sK5),unordered_pair(sK1(singleton(sK6),sK5),X2_41)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(2,plain,
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l54,plain,
( ~ member(sK1(singleton(sK6),sK5),sK5)
| subset(singleton(sK6),sK5) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l57,plain,
~ subset(singleton(sK6),sK5),
inference(instantiation,[status(thm)],[30]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l29,l31,l32,l28,l41,l54,l57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET095+4 : TPTP v9.0.0. Released v2.2.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 19:51:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.42 % launching worker at depth: 11
% 95.52/12.40 % SZS status Theorem for theBenchmark
% 95.52/12.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------