%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET803+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 : 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 03:32:42 PM UTC 2025
% Result : Theorem 192.65s 24.61s
% Output : CNFRefutation 192.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 82 ( 8 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 80 ( 34 ~; 29 |; 7 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 46 ( 2 sgn 20 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIV15,plain,
! [R,E] :
( order(R,E)
=> ! [M1,M2] :
( ( max(M1,R,E)
& max(M2,R,E)
& M1 != M2 )
=> ~ ? [M] : greatest(M,R,E) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV15) ).
fof(thIV15_negated,plain,
~ ! [R,E] :
( order(R,E)
=> ! [M1,M2] :
( ( max(M1,R,E)
& max(M2,R,E)
& M1 != M2 )
=> ~ ? [M] : greatest(M,R,E) ) ),
inference(negate_conjecture,[status(cth)],[thIV15]) ).
cnf(60,plain,
max(sK20,sK17,sK18),
inference(cnf,[status(esa)],[thIV15_negated]) ).
cnf(l0,plain,
max(sK20,sK17,sK18),
inference(instantiation,[status(thm)],[60]) ).
fof(max,plain,
! [R,E,M] :
( max(M,R,E)
<=> ( member(M,E)
& ! [X] :
( ( member(X,E)
& apply(R,M,X) )
=> M = X ) ) ),
file('Axioms/SET006+3.ax',max) ).
cnf(37,plain,
( ~ max(X0,X1,X2)
| ~ member(X3,X2)
| ~ apply(X1,X0,X3)
| X0 = X3 ),
inference(cnf,[status(esa)],[max]) ).
cnf(l1,plain,
( ~ max(sK20,sK17,sK18)
| ~ member(sK21,sK18)
| ~ apply(sK17,sK20,sK21)
| sK20 = sK21 ),
inference(instantiation,[status(thm)],[37]) ).
fof(greatest,plain,
! [R,E,M] :
( greatest(M,R,E)
<=> ( member(M,E)
& ! [X] :
( member(X,E)
=> apply(R,X,M) ) ) ),
file('Axioms/SET006+3.ax',greatest) ).
cnf(28,plain,
( ~ greatest(X0,X1,X2)
| member(X0,X2) ),
inference(cnf,[status(esa)],[greatest]) ).
cnf(l2,plain,
( ~ greatest(sK21,sK17,sK18)
| member(sK21,sK18) ),
inference(instantiation,[status(thm)],[28]) ).
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(22,plain,
( ~ upper_bound(X0,X1,X2)
| ~ member(X3,X2)
| apply(X1,X3,X0) ),
inference(cnf,[status(esa)],[upper_bound]) ).
cnf(l4,plain,
( ~ upper_bound(sK21,sK17,sK18)
| ~ member(sK20,sK18)
| apply(sK17,sK20,sK21) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(36,plain,
( ~ max(X0,X1,X2)
| member(X0,X2) ),
inference(cnf,[status(esa)],[max]) ).
cnf(l13,plain,
( ~ max(sK20,sK17,sK18)
| member(sK20,sK18) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(62,plain,
greatest(sK21,sK17,sK18),
inference(cnf,[status(esa)],[thIV15_negated]) ).
cnf(l3,plain,
greatest(sK21,sK17,sK18),
inference(instantiation,[status(thm)],[62]) ).
cnf(23,plain,
( upper_bound(X0,X1,X2)
| member(sK9(X1,X2,X0),X2) ),
inference(cnf,[status(esa)],[upper_bound]) ).
cnf(l5,plain,
( upper_bound(sK21,sK17,sK18)
| member(sK9(sK17,sK18,sK21),sK18) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(29,plain,
( ~ member(X0,X1)
| ~ greatest(X2,X3,X1)
| apply(X3,X0,X2) ),
inference(cnf,[status(esa)],[greatest]) ).
cnf(l12,plain,
( ~ member(sK9(sK17,sK18,sK21),sK18)
| ~ greatest(sK21,sK17,sK18)
| apply(sK17,sK9(sK17,sK18,sK21),sK21) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l26,plain,
greatest(sK21,sK17,sK18),
inference(instantiation,[status(thm)],[62]) ).
cnf(24,plain,
( ~ apply(X0,sK9(X0,X1,X2),X2)
| upper_bound(X2,X0,X1) ),
inference(cnf,[status(esa)],[upper_bound]) ).
cnf(l82,plain,
( ~ apply(sK17,sK9(sK17,sK18,sK21),sK21)
| upper_bound(sK21,sK17,sK18) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l1223,plain,
( ~ max(sK19,sK17,sK18)
| ~ member(sK21,sK18)
| ~ apply(sK17,sK19,sK21)
| sK19 = sK21 ),
inference(instantiation,[status(thm)],[37]) ).
cnf(59,plain,
max(sK19,sK17,sK18),
inference(cnf,[status(esa)],[thIV15_negated]) ).
cnf(l1276,plain,
max(sK19,sK17,sK18),
inference(instantiation,[status(thm)],[59]) ).
cnf(l1264,plain,
( ~ greatest(sK21,sK17,sK18)
| member(sK21,sK18) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(61,plain,
sK19 != sK20,
inference(cnf,[status(esa)],[thIV15_negated]) ).
cnf(l1475,plain,
sK19 != sK20,
inference(instantiation,[status(thm)],[61]) ).
cnf(l1267,plain,
greatest(sK21,sK17,sK18),
inference(instantiation,[status(thm)],[62]) ).
cnf(l447,plain,
( ~ member(sK19,sK18)
| ~ greatest(sK20,sK17,sK18)
| apply(sK17,sK19,sK20) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l1233,plain,
( ~ max(sK19,sK17,sK18)
| member(sK19,sK18) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(l1379,plain,
greatest(sK21,sK17,sK18),
inference(instantiation,[status(thm)],[62]) ).
cnf(l1451,plain,
max(sK19,sK17,sK18),
inference(instantiation,[status(thm)],[59]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l13,l3,l5,l12,l26,l82,l1223,l1276,l1264,l1475,l1267,l447,l1233,l1379,l1451]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SET803+4 : TPTP v9.0.0. Released v3.2.0.
% 0.02/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.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 22:44:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 3
% 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: 6
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 9
% 0.18/0.35 % launching worker at depth: 10
% 0.18/0.46 % launching worker at depth: 11
% 11.79/1.90 % launching worker at depth: 12
% 192.65/24.61 % SZS status Theorem for theBenchmark
% 192.65/24.61 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------