%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET793+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 : n029.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 86.14s 11.17s
% Output : CNFRefutation 86.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 11 unt; 0 def)
% Number of atoms : 106 ( 4 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 108 ( 40 ~; 40 |; 14 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 48 ( 1 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIV5,plain,
! [R,E,M] :
( ( total_order(R,E)
& max(M,R,E) )
=> greatest(M,R,E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV5) ).
fof(thIV5_negated,plain,
~ ! [R,E,M] :
( ( total_order(R,E)
& max(M,R,E) )
=> greatest(M,R,E) ),
inference(negate_conjecture,[status(cth)],[thIV5]) ).
cnf(59,plain,
max(sK19,sK17,sK18),
inference(cnf,[status(esa)],[thIV5_negated]) ).
cnf(l0,plain,
max(sK19,sK17,sK18),
inference(instantiation,[status(thm)],[59]) ).
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(sK19,sK17,sK18)
| ~ member(sK11(sK17,sK18,sK19),sK18)
| ~ apply(sK17,sK19,sK11(sK17,sK18,sK19))
| sK19 = sK11(sK17,sK18,sK19) ),
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(30,plain,
( ~ member(X0,X1)
| member(sK11(X2,X1,X0),X1)
| greatest(X0,X2,X1) ),
inference(cnf,[status(esa)],[greatest]) ).
cnf(l22,plain,
( ~ member(sK19,sK18)
| member(sK11(sK17,sK18,sK19),sK18)
| greatest(sK19,sK17,sK18) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(60,plain,
~ greatest(sK19,sK17,sK18),
inference(cnf,[status(esa)],[thIV5_negated]) ).
cnf(l152,plain,
~ greatest(sK19,sK17,sK18),
inference(instantiation,[status(thm)],[60]) ).
fof(total_order,plain,
! [R,E] :
( total_order(R,E)
<=> ( order(R,E)
& ! [X,Y] :
( ( member(X,E)
& member(Y,E) )
=> ( apply(R,X,Y)
| apply(R,Y,X) ) ) ) ),
file('Axioms/SET006+3.ax',total_order) ).
cnf(17,plain,
( ~ member(X0,X1)
| ~ member(X2,X1)
| ~ total_order(X3,X1)
| apply(X3,X0,X2)
| apply(X3,X2,X0) ),
inference(cnf,[status(esa)],[total_order]) ).
cnf(l1128,plain,
( ~ member(sK19,sK18)
| ~ member(sK11(sK17,sK18,sK19),sK18)
| ~ total_order(sK17,sK18)
| apply(sK17,sK19,sK11(sK17,sK18,sK19))
| apply(sK17,sK11(sK17,sK18,sK19),sK19) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(36,plain,
( ~ max(X0,X1,X2)
| member(X0,X2) ),
inference(cnf,[status(esa)],[max]) ).
cnf(l23,plain,
( ~ max(sK19,sK17,sK18)
| member(sK19,sK18) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(l1145,plain,
( ~ max(sK19,sK17,sK18)
| member(sK19,sK18) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(l1129,plain,
( ~ member(sK19,sK18)
| member(sK11(sK17,sK18,sK19),sK18)
| greatest(sK19,sK17,sK18) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l1142,plain,
~ greatest(sK19,sK17,sK18),
inference(instantiation,[status(thm)],[60]) ).
cnf(l1143,plain,
( ~ max(sK19,sK17,sK18)
| member(sK19,sK18) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(58,plain,
total_order(sK17,sK18),
inference(cnf,[status(esa)],[thIV5_negated]) ).
cnf(l1131,plain,
total_order(sK17,sK18),
inference(instantiation,[status(thm)],[58]) ).
cnf(31,plain,
( ~ member(X0,X1)
| ~ apply(X2,sK11(X2,X1,X0),X0)
| greatest(X0,X2,X1) ),
inference(cnf,[status(esa)],[greatest]) ).
cnf(l1280,plain,
( ~ member(sK19,sK18)
| ~ apply(sK17,sK11(sK17,sK18,sK19),sK19)
| greatest(sK19,sK17,sK18) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(l1305,plain,
( ~ max(sK19,sK17,sK18)
| member(sK19,sK18) ),
inference(instantiation,[status(thm)],[36]) ).
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(0,plain,
( ~ order(X0,X1)
| ~ member(X2,X1)
| apply(X0,X2,X2) ),
inference(cnf,[status(esa)],[order]) ).
cnf(l77,plain,
( ~ order(sK17,sK18)
| ~ member(sK19,sK18)
| apply(sK17,sK19,sK19) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l1338,plain,
~ greatest(sK19,sK17,sK18),
inference(instantiation,[status(thm)],[60]) ).
cnf(16,plain,
( ~ total_order(X0,X1)
| order(X0,X1) ),
inference(cnf,[status(esa)],[total_order]) ).
cnf(l188,plain,
( ~ total_order(sK17,sK18)
| order(sK17,sK18) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l349,plain,
( ~ member(sK19,sK18)
| ~ apply(sK17,sK11(sK17,sK18,sK19),sK19)
| greatest(sK19,sK17,sK18) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(l122,plain,
( ~ max(sK19,sK17,sK18)
| member(sK19,sK18) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(l350,plain,
( ~ max(sK19,sK17,sK18)
| member(sK19,sK18) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(l749,plain,
~ greatest(sK19,sK17,sK18),
inference(instantiation,[status(thm)],[60]) ).
cnf(l264,plain,
total_order(sK17,sK18),
inference(instantiation,[status(thm)],[58]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l22,l152,l1128,l23,l1145,l1129,l1142,l1143,l1131,l1280,l1305,l77,l1338,l188,l349,l122,l350,l749,l264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET793+4 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n029.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 22:43:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.19/0.45 % launching worker at depth: 11
% 5.92/1.07 % launching worker at depth: 12
% 86.14/11.17 % SZS status Theorem for theBenchmark
% 86.14/11.17 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------