%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET800+4 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 03:32:42 PM UTC 2025
% Result : Theorem 42.51s 5.69s
% Output : CNFRefutation 42.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 48 ( 15 ~; 12 |; 9 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 39 ( 3 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIV12,plain,
! [R,E] :
( order(R,E)
=> ! [X1,X2] :
( ( subset(X1,E)
& subset(X2,E)
& subset(X1,X2) )
=> ! [M1,M2] :
( ( greatest_lower_bound(M1,X1,R,E)
& greatest_lower_bound(M2,X2,R,E) )
=> apply(R,M2,M1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV12) ).
fof(thIV12_negated,plain,
~ ! [R,E] :
( order(R,E)
=> ! [X1,X2] :
( ( subset(X1,E)
& subset(X2,E)
& subset(X1,X2) )
=> ! [M1,M2] :
( ( greatest_lower_bound(M1,X1,R,E)
& greatest_lower_bound(M2,X2,R,E) )
=> apply(R,M2,M1) ) ) ),
inference(negate_conjecture,[status(cth)],[thIV12]) ).
cnf(90,plain,
subset(sK23,sK24),
inference(cnf,[status(esa)],[thIV12_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(sK25,sK23)
| member(sK25,sK24) ),
inference(instantiation,[status(thm)],[0]) ).
fof(greatest_lower_bound,plain,
! [A,X,R,E] :
( greatest_lower_bound(A,X,R,E)
<=> ( member(A,X)
& lower_bound(A,R,X)
& ! [M] :
( ( member(M,E)
& lower_bound(M,R,X) )
=> apply(R,M,A) ) ) ),
file('Axioms/SET006+3.ax',greatest_lower_bound) ).
cnf(81,plain,
( ~ greatest_lower_bound(X0,X1,X2,X3)
| member(X0,X1) ),
inference(cnf,[status(esa)],[greatest_lower_bound]) ).
cnf(l2,plain,
( ~ greatest_lower_bound(sK25,sK23,sK21,sK22)
| member(sK25,sK23) ),
inference(instantiation,[status(thm)],[81]) ).
cnf(91,plain,
greatest_lower_bound(sK25,sK23,sK21,sK22),
inference(cnf,[status(esa)],[thIV12_negated]) ).
cnf(l3,plain,
greatest_lower_bound(sK25,sK23,sK21,sK22),
inference(instantiation,[status(thm)],[91]) ).
fof(lower_bound,plain,
! [R,E,M] :
( lower_bound(M,R,E)
<=> ! [X] :
( member(X,E)
=> apply(R,M,X) ) ),
file('Axioms/SET006+3.ax',lower_bound) ).
cnf(54,plain,
( ~ member(X0,X1)
| ~ lower_bound(X2,X3,X1)
| apply(X3,X2,X0) ),
inference(cnf,[status(esa)],[lower_bound]) ).
cnf(l4,plain,
( ~ member(sK25,sK24)
| ~ lower_bound(sK26,sK21,sK24)
| apply(sK21,sK26,sK25) ),
inference(instantiation,[status(thm)],[54]) ).
cnf(82,plain,
( ~ greatest_lower_bound(X0,X1,X2,X3)
| lower_bound(X0,X2,X1) ),
inference(cnf,[status(esa)],[greatest_lower_bound]) ).
cnf(l7,plain,
( ~ greatest_lower_bound(sK26,sK24,sK21,sK22)
| lower_bound(sK26,sK21,sK24) ),
inference(instantiation,[status(thm)],[82]) ).
cnf(92,plain,
greatest_lower_bound(sK26,sK24,sK21,sK22),
inference(cnf,[status(esa)],[thIV12_negated]) ).
cnf(l21,plain,
greatest_lower_bound(sK26,sK24,sK21,sK22),
inference(instantiation,[status(thm)],[92]) ).
cnf(93,plain,
~ apply(sK21,sK26,sK25),
inference(cnf,[status(esa)],[thIV12_negated]) ).
cnf(l245,plain,
~ apply(sK21,sK26,sK25),
inference(instantiation,[status(thm)],[93]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l7,l21,l245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET800+4 : TPTP v9.0.0. Released v3.2.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.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 22:43:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 1.83/0.55 % launching worker at depth: 11
% 42.51/5.69 % SZS status Theorem for theBenchmark
% 42.51/5.69 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------