%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET688+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 : 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 03:32:31 PM UTC 2025
% Result : Theorem 3.84s 0.77s
% Output : CNFRefutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 9 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 76 ( 32 ~; 29 |; 8 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 6 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI04,plain,
! [A,B,C] :
( ( subset(A,B)
& ~ equal_set(A,B)
& subset(B,C)
& ~ equal_set(B,C) )
=> ~ equal_set(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI04) ).
fof(thI04_negated,plain,
~ ! [A,B,C] :
( ( subset(A,B)
& ~ equal_set(A,B)
& subset(B,C)
& ~ equal_set(B,C) )
=> ~ equal_set(A,C) ),
inference(negate_conjecture,[status(cth)],[thI04]) ).
cnf(29,plain,
subset(sK5,sK6),
inference(cnf,[status(esa)],[thI04_negated]) ).
cnf(l0,plain,
subset(sK5,sK6),
inference(instantiation,[status(thm)],[29]) ).
fof(equal_set,plain,
! [A,B] :
( equal_set(A,B)
<=> ( subset(A,B)
& subset(B,A) ) ),
file('Axioms/SET006+0.ax',equal_set) ).
cnf(5,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_set(X0,X1) ),
inference(cnf,[status(esa)],[equal_set]) ).
cnf(l1,plain,
( ~ subset(sK5,sK6)
| ~ subset(sK6,sK5)
| equal_set(sK5,sK6) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(30,plain,
~ equal_set(sK5,sK6),
inference(cnf,[status(esa)],[thI04_negated]) ).
cnf(l3,plain,
~ equal_set(sK5,sK6),
inference(instantiation,[status(thm)],[30]) ).
fof(subset,plain,
! [A,B] :
( subset(A,B)
<=> ! [X] :
( member(X,A)
=> member(X,B) ) ),
file('Axioms/SET006+0.ax',subset) ).
cnf(2,plain,
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l2,plain,
( ~ member(sK1(sK6,sK5),sK5)
| subset(sK6,sK5) ),
inference(instantiation,[status(thm)],[2]) ).
fof(intersection,plain,
! [X,A,B] :
( member(X,intersection(A,B))
<=> ( member(X,A)
& member(X,B) ) ),
file('Axioms/SET006+0.ax',intersection) ).
cnf(9,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection]) ).
cnf(l25,plain,
( ~ member(sK1(sK6,sK5),intersection(X1_25,sK5))
| member(sK1(sK6,sK5),sK5) ),
inference(instantiation,[status(thm)],[9]) ).
fof(union,plain,
! [X,A,B] :
( member(X,union(A,B))
<=> ( member(X,A)
| member(X,B) ) ),
file('Axioms/SET006+0.ax',union) ).
cnf(11,plain,
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf,[status(esa)],[union]) ).
cnf(l26,plain,
( ~ member(sK1(sK6,sK5),union(sK7,intersection(X1_25,sK5)))
| member(sK1(sK6,sK5),sK7)
| member(sK1(sK6,sK5),intersection(X1_25,sK5)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l27,plain,
( ~ member(sK1(sK6,sK5),union(union(sK7,intersection(X1_25,sK5)),sK6))
| member(sK1(sK6,sK5),union(sK7,intersection(X1_25,sK5)))
| member(sK1(sK6,sK5),sK6) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(13,plain,
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
inference(cnf,[status(esa)],[union]) ).
cnf(l28,plain,
( ~ member(sK1(sK6,sK5),sK6)
| member(sK1(sK6,sK5),union(union(sK7,intersection(X1_25,sK5)),sK6)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(1,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l29,plain,
( subset(sK6,sK5)
| member(sK1(sK6,sK5),sK6) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l32,plain,
( ~ subset(sK6,sK7)
| ~ member(sK1(sK6,sK5),sK6)
| member(sK1(sK6,sK5),sK7) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(12,plain,
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf,[status(esa)],[union]) ).
cnf(l34,plain,
( ~ member(sK1(sK6,sK5),sK7)
| member(sK1(sK6,sK5),union(sK7,intersection(X1_25,sK5))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(31,plain,
subset(sK6,sK7),
inference(cnf,[status(esa)],[thI04_negated]) ).
cnf(l35,plain,
subset(sK6,sK7),
inference(instantiation,[status(thm)],[31]) ).
cnf(l42,plain,
( ~ subset(sK7,sK5)
| ~ member(sK1(sK6,sK5),sK7)
| member(sK1(sK6,sK5),sK5) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(4,plain,
( ~ equal_set(X0,X1)
| subset(X1,X0) ),
inference(cnf,[status(esa)],[equal_set]) ).
cnf(l45,plain,
( ~ equal_set(sK5,sK7)
| subset(sK7,sK5) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(33,plain,
equal_set(sK5,sK7),
inference(cnf,[status(esa)],[thI04_negated]) ).
cnf(l49,plain,
equal_set(sK5,sK7),
inference(instantiation,[status(thm)],[33]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l25,l26,l27,l28,l29,l32,l34,l35,l42,l45,l49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.06 % Problem : SET688+4 : TPTP v9.0.0. Released v2.2.0.
% 0.04/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.25 % Computer : n017.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Mon Jul 21 22:19:19 EDT 2025
% 0.07/0.25 % CPUTime :
% 0.07/0.25 % launching worker at depth: 2
% 0.07/0.25 % launching worker at depth: 3
% 0.07/0.25 % launching worker at depth: 1
% 0.07/0.25 % launching worker at depth: 4
% 0.07/0.25 % launching worker at depth: 5
% 0.07/0.25 % launching worker at depth: 6
% 0.07/0.25 % launching worker at depth: 7
% 0.07/0.25 % launching worker at depth: 8
% 0.11/0.25 % launching worker at depth: 9
% 0.11/0.26 % launching worker at depth: 10
% 0.11/0.28 % launching worker at depth: 11
% 3.84/0.77 % SZS status Theorem for theBenchmark
% 3.84/0.77 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------