%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET797+4 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n027.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 03:32:41 PM UTC 2025
% Result : Theorem 30.52s 4.20s
% Output : CNFRefutation 30.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 40 ( 14 ~; 12 |; 4 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 30 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIV9,plain,
! [R,E] :
( order(R,E)
=> ! [X,Y] :
( ( subset(X,E)
& subset(Y,E)
& subset(X,Y) )
=> ! [M] :
( upper_bound(M,R,Y)
=> upper_bound(M,R,X) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV9) ).
fof(thIV9_negated,plain,
~ ! [R,E] :
( order(R,E)
=> ! [X,Y] :
( ( subset(X,E)
& subset(Y,E)
& subset(X,Y) )
=> ! [M] :
( upper_bound(M,R,Y)
=> upper_bound(M,R,X) ) ) ),
inference(negate_conjecture,[status(cth)],[thIV9]) ).
cnf(90,plain,
subset(sK23,sK24),
inference(cnf,[status(esa)],[thIV9_negated]) ).
cnf(l0,plain,
subset(sK23,sK24),
inference(instantiation,[status(thm)],[90]) ).
fof(subset,plain,
! [A,B] :
( subset(A,B)
<=> ! [X] :
( member(X,A)
=> member(X,B) ) ),
file('Axioms/SET006+0.ax',subset) ).
cnf(0,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l1,plain,
( ~ subset(sK23,sK24)
| ~ member(sK13(sK21,sK23,sK25),sK23)
| member(sK13(sK21,sK23,sK25),sK24) ),
inference(instantiation,[status(thm)],[0]) ).
fof(upper_bound,plain,
! [R,E,M] :
( upper_bound(M,R,E)
<=> ! [X] :
( member(X,E)
=> apply(R,X,M) ) ),
file('Axioms/SET006+3.ax',upper_bound) ).
cnf(52,plain,
( member(sK13(X0,X1,X2),X1)
| upper_bound(X2,X0,X1) ),
inference(cnf,[status(esa)],[upper_bound]) ).
cnf(l2,plain,
( member(sK13(sK21,sK23,sK25),sK23)
| upper_bound(sK25,sK21,sK23) ),
inference(instantiation,[status(thm)],[52]) ).
cnf(92,plain,
~ upper_bound(sK25,sK21,sK23),
inference(cnf,[status(esa)],[thIV9_negated]) ).
cnf(l8,plain,
~ upper_bound(sK25,sK21,sK23),
inference(instantiation,[status(thm)],[92]) ).
cnf(51,plain,
( ~ member(X0,X1)
| ~ upper_bound(X2,X3,X1)
| apply(X3,X0,X2) ),
inference(cnf,[status(esa)],[upper_bound]) ).
cnf(l4,plain,
( ~ member(sK13(sK21,sK23,sK25),sK24)
| ~ upper_bound(sK25,sK21,sK24)
| apply(sK21,sK13(sK21,sK23,sK25),sK25) ),
inference(instantiation,[status(thm)],[51]) ).
cnf(91,plain,
upper_bound(sK25,sK21,sK24),
inference(cnf,[status(esa)],[thIV9_negated]) ).
cnf(l7,plain,
upper_bound(sK25,sK21,sK24),
inference(instantiation,[status(thm)],[91]) ).
cnf(53,plain,
( ~ apply(X0,sK13(X0,X1,X2),X2)
| upper_bound(X2,X0,X1) ),
inference(cnf,[status(esa)],[upper_bound]) ).
cnf(l234,plain,
( ~ apply(sK21,sK13(sK21,sK23,sK25),sK25)
| upper_bound(sK25,sK21,sK23) ),
inference(instantiation,[status(thm)],[53]) ).
cnf(l239,plain,
~ upper_bound(sK25,sK21,sK23),
inference(instantiation,[status(thm)],[92]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l8,l4,l7,l234,l239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET797+4 : TPTP v9.0.0. Released v3.2.0.
% 0.10/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 22:43:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.19/0.55 % launching worker at depth: 11
% 30.52/4.20 % SZS status Theorem for theBenchmark
% 30.52/4.20 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------