%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET791+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 : n024.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 03:32:40 PM UTC 2025
% Result : Theorem 6.63s 1.17s
% Output : CNFRefutation 6.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 90 ( 6 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 93 ( 35 ~; 34 |; 12 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 42 ( 1 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIV3,plain,
! [R,E,M] :
( ( order(R,E)
& greatest(M,R,E) )
=> max(M,R,E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV3) ).
fof(thIV3_negated,plain,
~ ! [R,E,M] :
( ( order(R,E)
& greatest(M,R,E) )
=> max(M,R,E) ),
inference(negate_conjecture,[status(cth)],[thIV3]) ).
cnf(59,plain,
greatest(sK19,sK17,sK18),
inference(cnf,[status(esa)],[thIV3_negated]) ).
cnf(l0,plain,
greatest(sK19,sK17,sK18),
inference(instantiation,[status(thm)],[59]) ).
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(29,plain,
( ~ member(X0,X1)
| ~ greatest(X2,X3,X1)
| apply(X3,X0,X2) ),
inference(cnf,[status(esa)],[greatest]) ).
cnf(l1,plain,
( ~ member(sK13(sK17,sK18,sK19),sK18)
| ~ greatest(sK19,sK17,sK18)
| apply(sK17,sK13(sK17,sK18,sK19),sK19) ),
inference(instantiation,[status(thm)],[29]) ).
fof(order,plain,
! [R,E] :
( order(R,E)
<=> ( ! [X] :
( member(X,E)
=> apply(R,X,X) )
& ! [X,Y] :
( ( member(X,E)
& member(Y,E) )
=> ( ( apply(R,X,Y)
& apply(R,Y,X) )
=> X = Y ) )
& ! [X,Y,Z] :
( ( member(X,E)
& member(Y,E)
& member(Z,E) )
=> ( ( apply(R,X,Y)
& apply(R,Y,Z) )
=> apply(R,X,Z) ) ) ) ),
file('Axioms/SET006+3.ax',order) ).
cnf(1,plain,
( ~ order(X0,X1)
| ~ member(X2,X1)
| ~ member(X3,X1)
| ~ apply(X0,X2,X3)
| ~ apply(X0,X3,X2)
| X2 = X3 ),
inference(cnf,[status(esa)],[order]) ).
cnf(l4,plain,
( ~ order(sK17,sK18)
| ~ member(sK19,sK18)
| ~ member(sK13(sK17,sK18,sK19),sK18)
| ~ apply(sK17,sK19,sK13(sK17,sK18,sK19))
| ~ apply(sK17,sK13(sK17,sK18,sK19),sK19)
| sK19 = sK13(sK17,sK18,sK19) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(58,plain,
order(sK17,sK18),
inference(cnf,[status(esa)],[thIV3_negated]) ).
cnf(l5,plain,
order(sK17,sK18),
inference(instantiation,[status(thm)],[58]) ).
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(38,plain,
( ~ member(X0,X1)
| max(X0,X2,X1)
| member(sK13(X2,X1,X0),X1) ),
inference(cnf,[status(esa)],[max]) ).
cnf(l76,plain,
( ~ member(sK19,sK18)
| max(sK19,sK17,sK18)
| member(sK13(sK17,sK18,sK19),sK18) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(60,plain,
~ max(sK19,sK17,sK18),
inference(cnf,[status(esa)],[thIV3_negated]) ).
cnf(l121,plain,
~ max(sK19,sK17,sK18),
inference(instantiation,[status(thm)],[60]) ).
cnf(28,plain,
( ~ greatest(X0,X1,X2)
| member(X0,X2) ),
inference(cnf,[status(esa)],[greatest]) ).
cnf(l13,plain,
( ~ greatest(sK19,sK17,sK18)
| member(sK19,sK18) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l77,plain,
( ~ greatest(sK19,sK17,sK18)
| member(sK19,sK18) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(39,plain,
( ~ member(X0,X1)
| max(X0,X2,X1)
| apply(X2,X0,sK13(X2,X1,X0)) ),
inference(cnf,[status(esa)],[max]) ).
cnf(l6,plain,
( ~ member(sK19,sK18)
| max(sK19,sK17,sK18)
| apply(sK17,sK19,sK13(sK17,sK18,sK19)) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(l18,plain,
~ max(sK19,sK17,sK18),
inference(instantiation,[status(thm)],[60]) ).
cnf(l14,plain,
( ~ greatest(sK19,sK17,sK18)
| member(sK19,sK18) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l190,plain,
( ~ member(sK19,sK18)
| max(sK19,sK17,sK18)
| member(sK13(sK17,sK18,sK19),sK18) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l193,plain,
( ~ greatest(sK19,sK17,sK18)
| member(sK19,sK18) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l192,plain,
~ max(sK19,sK17,sK18),
inference(instantiation,[status(thm)],[60]) ).
cnf(40,plain,
( X0 != sK13(X1,X2,X0)
| ~ member(X0,X2)
| max(X0,X1,X2) ),
inference(cnf,[status(esa)],[max]) ).
cnf(l311,plain,
( sK19 != sK13(sK17,sK18,sK19)
| ~ member(sK19,sK18)
| max(sK19,sK17,sK18) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(l315,plain,
~ max(sK19,sK17,sK18),
inference(instantiation,[status(thm)],[60]) ).
cnf(l316,plain,
( ~ greatest(sK19,sK17,sK18)
| member(sK19,sK18) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l5,l76,l121,l13,l77,l6,l18,l14,l190,l193,l192,l311,l315,l316]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET791+4 : TPTP v9.0.0. Released v3.2.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Jul 21 22:42:49 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.36 % launching worker at depth: 10
% 0.20/0.45 % launching worker at depth: 11
% 6.63/1.17 % SZS status Theorem for theBenchmark
% 6.63/1.17 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------