%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET711+4 : TPTP v9.0.0. Bugfixed v2.2.1.
% 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 03:32:33 PM UTC 2025
% Result : Theorem 171.07s 21.90s
% Output : CNFRefutation 171.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 9 unt; 0 def)
% Number of atoms : 106 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 99 ( 31 ~; 42 |; 14 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-4 aty)
% Number of variables : 71 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII03a,plain,
! [F,G,H,A,B] :
( ( maps(F,A,B)
& one_to_one(F,A,B)
& inverse_predicate(G,F,A,B)
& inverse_predicate(H,F,A,B) )
=> equal_maps(G,H,B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII03a) ).
fof(thII03a_negated,plain,
~ ! [F,G,H,A,B] :
( ( maps(F,A,B)
& one_to_one(F,A,B)
& inverse_predicate(G,F,A,B)
& inverse_predicate(H,F,A,B) )
=> equal_maps(G,H,B,A) ),
inference(negate_conjecture,[status(cth)],[thII03a]) ).
cnf(140,plain,
~ equal_maps(sK52,sK53,sK55,sK54),
inference(cnf,[status(esa)],[thII03a_negated]) ).
cnf(l0,plain,
~ equal_maps(sK52,sK53,sK55,sK54),
inference(instantiation,[status(thm)],[140]) ).
fof(equal_maps,plain,
! [F,G,A,B] :
( equal_maps(F,G,A,B)
<=> ! [X,Y1,Y2] :
( ( member(X,A)
& member(Y1,B)
& member(Y2,B) )
=> ( ( apply(F,X,Y1)
& apply(G,X,Y2) )
=> Y1 = Y2 ) ) ),
file('Axioms/SET006+1.ax',equal_maps) ).
cnf(62,plain,
( sK20(X0,X1,X2,X3) != sK21(X0,X1,X2,X3)
| equal_maps(X0,X1,X2,X3) ),
inference(cnf,[status(esa)],[equal_maps]) ).
cnf(l1,plain,
( sK20(sK52,sK53,sK55,sK54) != sK21(sK52,sK53,sK55,sK54)
| equal_maps(sK52,sK53,sK55,sK54) ),
inference(instantiation,[status(thm)],[62]) ).
fof(injective,plain,
! [F,A,B] :
( injective(F,A,B)
<=> ! [X1,X2,Y] :
( ( member(X1,A)
& member(X2,A)
& member(Y,B) )
=> ( ( apply(F,X1,Y)
& apply(F,X2,Y) )
=> X1 = X2 ) ) ),
file('Axioms/SET006+1.ax',injective) ).
cnf(66,plain,
( ~ member(X0,X1)
| ~ member(X2,X1)
| ~ member(X3,X4)
| ~ apply(X5,X0,X3)
| ~ apply(X5,X2,X3)
| ~ injective(X5,X1,X4)
| X0 = X2 ),
inference(cnf,[status(esa)],[injective]) ).
cnf(l187,plain,
( ~ member(sK20(sK52,sK53,sK55,sK54),sK54)
| ~ member(sK21(sK52,sK53,sK55,sK54),sK54)
| ~ member(sK19(sK52,sK53,sK55,sK54),sK55)
| ~ apply(sK51,sK20(sK52,sK53,sK55,sK54),sK19(sK52,sK53,sK55,sK54))
| ~ apply(sK51,sK21(sK52,sK53,sK55,sK54),sK19(sK52,sK53,sK55,sK54))
| ~ injective(sK51,sK54,sK55)
| sK20(sK52,sK53,sK55,sK54) = sK21(sK52,sK53,sK55,sK54) ),
inference(instantiation,[status(thm)],[66]) ).
fof(inverse_predicate,plain,
! [G,F,A,B] :
( inverse_predicate(G,F,A,B)
<=> ! [X,Y] :
( ( member(X,A)
& member(Y,B) )
=> ( apply(F,X,Y)
<=> apply(G,Y,X) ) ) ),
file('Axioms/SET006+1.ax',inverse_predicate) ).
cnf(81,plain,
( ~ member(X0,X1)
| ~ member(X2,X3)
| ~ inverse_predicate(X4,X5,X1,X3)
| ~ apply(X4,X2,X0)
| apply(X5,X0,X2) ),
inference(cnf,[status(esa)],[inverse_predicate]) ).
cnf(l193,plain,
( ~ member(sK20(sK52,sK53,sK55,sK54),sK54)
| ~ member(sK19(sK52,sK53,sK55,sK54),sK55)
| ~ inverse_predicate(sK52,sK51,sK54,sK55)
| ~ apply(sK52,sK19(sK52,sK53,sK55,sK54),sK20(sK52,sK53,sK55,sK54))
| apply(sK51,sK20(sK52,sK53,sK55,sK54),sK19(sK52,sK53,sK55,sK54)) ),
inference(instantiation,[status(thm)],[81]) ).
cnf(58,plain,
( member(sK20(X0,X1,X2,X3),X3)
| equal_maps(X0,X1,X2,X3) ),
inference(cnf,[status(esa)],[equal_maps]) ).
cnf(l225,plain,
( member(sK20(sK52,sK53,sK55,sK54),sK54)
| equal_maps(sK52,sK53,sK55,sK54) ),
inference(instantiation,[status(thm)],[58]) ).
cnf(57,plain,
( member(sK19(X0,X1,X2,X3),X2)
| equal_maps(X0,X1,X2,X3) ),
inference(cnf,[status(esa)],[equal_maps]) ).
cnf(l221,plain,
( member(sK19(sK52,sK53,sK55,sK54),sK55)
| equal_maps(sK52,sK53,sK55,sK54) ),
inference(instantiation,[status(thm)],[57]) ).
cnf(l226,plain,
( member(sK19(sK52,sK53,sK55,sK54),sK55)
| equal_maps(sK52,sK53,sK55,sK54) ),
inference(instantiation,[status(thm)],[57]) ).
cnf(138,plain,
inverse_predicate(sK52,sK51,sK54,sK55),
inference(cnf,[status(esa)],[thII03a_negated]) ).
cnf(l223,plain,
inverse_predicate(sK52,sK51,sK54,sK55),
inference(instantiation,[status(thm)],[138]) ).
cnf(60,plain,
( equal_maps(X0,X1,X2,X3)
| apply(X0,sK19(X0,X1,X2,X3),sK20(X0,X1,X2,X3)) ),
inference(cnf,[status(esa)],[equal_maps]) ).
cnf(l199,plain,
( equal_maps(sK52,sK53,sK55,sK54)
| apply(sK52,sK19(sK52,sK53,sK55,sK54),sK20(sK52,sK53,sK55,sK54)) ),
inference(instantiation,[status(thm)],[60]) ).
cnf(l244,plain,
( ~ member(sK21(sK52,sK53,sK55,sK54),sK54)
| ~ member(sK19(sK52,sK53,sK55,sK54),sK55)
| ~ inverse_predicate(sK53,sK51,sK54,sK55)
| ~ apply(sK53,sK19(sK52,sK53,sK55,sK54),sK21(sK52,sK53,sK55,sK54))
| apply(sK51,sK21(sK52,sK53,sK55,sK54),sK19(sK52,sK53,sK55,sK54)) ),
inference(instantiation,[status(thm)],[81]) ).
cnf(61,plain,
( equal_maps(X0,X1,X2,X3)
| apply(X1,sK19(X0,X1,X2,X3),sK21(X0,X1,X2,X3)) ),
inference(cnf,[status(esa)],[equal_maps]) ).
cnf(l252,plain,
( equal_maps(sK52,sK53,sK55,sK54)
| apply(sK53,sK19(sK52,sK53,sK55,sK54),sK21(sK52,sK53,sK55,sK54)) ),
inference(instantiation,[status(thm)],[61]) ).
fof(one_to_one,plain,
! [F,A,B] :
( one_to_one(F,A,B)
<=> ( injective(F,A,B)
& surjective(F,A,B) ) ),
file('Axioms/SET006+1.ax',one_to_one) ).
cnf(77,plain,
( ~ one_to_one(X0,X1,X2)
| injective(X0,X1,X2) ),
inference(cnf,[status(esa)],[one_to_one]) ).
cnf(l250,plain,
( ~ one_to_one(sK51,sK54,sK55)
| injective(sK51,sK54,sK55) ),
inference(instantiation,[status(thm)],[77]) ).
cnf(59,plain,
( member(sK21(X0,X1,X2,X3),X3)
| equal_maps(X0,X1,X2,X3) ),
inference(cnf,[status(esa)],[equal_maps]) ).
cnf(l245,plain,
( member(sK21(sK52,sK53,sK55,sK54),sK54)
| equal_maps(sK52,sK53,sK55,sK54) ),
inference(instantiation,[status(thm)],[59]) ).
cnf(139,plain,
inverse_predicate(sK53,sK51,sK54,sK55),
inference(cnf,[status(esa)],[thII03a_negated]) ).
cnf(l251,plain,
inverse_predicate(sK53,sK51,sK54,sK55),
inference(instantiation,[status(thm)],[139]) ).
cnf(l249,plain,
( member(sK19(sK52,sK53,sK55,sK54),sK55)
| equal_maps(sK52,sK53,sK55,sK54) ),
inference(instantiation,[status(thm)],[57]) ).
cnf(137,plain,
one_to_one(sK51,sK54,sK55),
inference(cnf,[status(esa)],[thII03a_negated]) ).
cnf(l259,plain,
one_to_one(sK51,sK54,sK55),
inference(instantiation,[status(thm)],[137]) ).
cnf(l189,plain,
( member(sK21(sK52,sK53,sK55,sK54),sK54)
| equal_maps(sK52,sK53,sK55,sK54) ),
inference(instantiation,[status(thm)],[59]) ).
cnf(l188,plain,
( member(sK20(sK52,sK53,sK55,sK54),sK54)
| equal_maps(sK52,sK53,sK55,sK54) ),
inference(instantiation,[status(thm)],[58]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l187,l193,l225,l221,l226,l223,l199,l244,l252,l250,l245,l251,l249,l259,l189,l188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET711+4 : TPTP v9.0.0. Bugfixed v2.2.1.
% 0.06/0.12 % 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 22:23:49 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: 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: 6
% 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: 9
% 0.12/0.37 % launching worker at depth: 10
% 3.83/0.82 % launching worker at depth: 11
% 171.07/21.90 % SZS status Theorem for theBenchmark
% 171.07/21.90 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------