%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUN081+2 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n021.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 12:34:40 PM UTC 2025
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 49 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 43 ( 13 ~; 10 |; 20 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% Number of variables : 65 ( 9 sgn 5 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(xplusyeqthree,plain,
? [Y1,Y2,Y3] :
( r3(Y1,Y2,Y3)
& ? [Y4] :
( Y3 = Y4
& ? [Y5] :
( r2(Y5,Y4)
& ? [Y6] :
( r2(Y6,Y5)
& ? [Y7] :
( r1(Y7)
& r2(Y7,Y6) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xplusyeqthree) ).
fof(xplusyeqthree_negated,plain,
~ ? [Y1,Y2,Y3] :
( r3(Y1,Y2,Y3)
& ? [Y4] :
( Y3 = Y4
& ? [Y5] :
( r2(Y5,Y4)
& ? [Y6] :
( r2(Y6,Y5)
& ? [Y7] :
( r1(Y7)
& r2(Y7,Y6) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[xplusyeqthree]) ).
cnf(39,plain,
( X0 != X1
| ~ r1(X2)
| ~ r2(X3,X1)
| ~ r2(X4,X3)
| ~ r2(X2,X4)
| ~ r3(X5,X6,X0) ),
inference(cnf,[status(esa)],[xplusyeqthree_negated]) ).
cnf(l0,plain,
( sK13(sK11(X1_1,sK11(X1_4,sK7(X1_5,sK14(X0_3))))) != sK11(X1_1,sK11(X1_4,sK7(X1_5,sK14(X0_3))))
| ~ r1(sK14(X0_3))
| ~ r2(sK11(X1_4,sK7(X1_5,sK14(X0_3))),sK11(X1_1,sK11(X1_4,sK7(X1_5,sK14(X0_3)))))
| ~ r2(sK7(X1_5,sK14(X0_3)),sK11(X1_4,sK7(X1_5,sK14(X0_3))))
| ~ r2(sK14(X0_3),sK7(X1_5,sK14(X0_3)))
| ~ r3(sK11(X1_1,sK11(X1_4,sK7(X1_5,sK14(X0_3)))),sK14(sK11(X1_1,sK11(X1_4,sK7(X1_5,sK14(X0_3))))),sK13(sK11(X1_1,sK11(X1_4,sK7(X1_5,sK14(X0_3)))))) ),
inference(instantiation,[status(thm)],[39]) ).
fof(axiom_4a,plain,
! [X4] :
? [Y9] :
( ? [Y16] :
( r1(Y16)
& r3(X4,Y16,Y9) )
& Y9 = X4 ),
file('Axioms/NUM008+0.ax',axiom_4a) ).
cnf(28,plain,
r3(X0,sK14(X0),sK13(X0)),
inference(cnf,[status(esa)],[axiom_4a]) ).
cnf(l6,plain,
r3(sK11(X1_1,sK11(X1_4,sK7(X1_5,sK14(X0_3)))),sK14(sK11(X1_1,sK11(X1_4,sK7(X1_5,sK14(X0_3))))),sK13(sK11(X1_1,sK11(X1_4,sK7(X1_5,sK14(X0_3)))))),
inference(instantiation,[status(thm)],[28]) ).
fof(axiom_1a,plain,
! [X1,X8] :
? [Y4] :
( ? [Y5] :
( ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) )
& Y5 = Y4 )
& ? [Y7] :
( r2(Y7,Y4)
& r3(X1,X8,Y7) ) ),
file('Axioms/NUM008+0.ax',axiom_1a) ).
cnf(16,plain,
r2(X0,sK7(X1,X0)),
inference(cnf,[status(esa)],[axiom_1a]) ).
cnf(l5,plain,
r2(sK14(X0_3),sK7(X1_5,sK14(X0_3))),
inference(instantiation,[status(thm)],[16]) ).
cnf(27,plain,
r1(sK14(X0)),
inference(cnf,[status(esa)],[axiom_4a]) ).
cnf(l3,plain,
r1(sK14(X0_3)),
inference(instantiation,[status(thm)],[27]) ).
fof(axiom_2a,plain,
! [X2,X9] :
? [Y2] :
( ? [Y3] :
( ? [Y14] :
( r2(X9,Y14)
& r4(X2,Y14,Y3) )
& Y3 = Y2 )
& ? [Y6] :
( r3(Y6,X2,Y2)
& r4(X2,X9,Y6) ) ),
file('Axioms/NUM008+0.ax',axiom_2a) ).
cnf(21,plain,
r2(X0,sK11(X1,X0)),
inference(cnf,[status(esa)],[axiom_2a]) ).
cnf(l1,plain,
r2(sK11(X1_4,sK7(X1_5,sK14(X0_3))),sK11(X1_1,sK11(X1_4,sK7(X1_5,sK14(X0_3))))),
inference(instantiation,[status(thm)],[21]) ).
cnf(l4,plain,
r2(sK7(X1_5,sK14(X0_3)),sK11(X1_4,sK7(X1_5,sK14(X0_3)))),
inference(instantiation,[status(thm)],[21]) ).
cnf(29,plain,
sK13(X0) = X0,
inference(cnf,[status(esa)],[axiom_4a]) ).
cnf(l2,plain,
sK13(sK11(X1_1,sK11(X1_4,sK7(X1_5,sK14(X0_3))))) = sK11(X1_1,sK11(X1_4,sK7(X1_5,sK14(X0_3)))),
inference(instantiation,[status(thm)],[29]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l6,l5,l3,l1,l4,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN081+2 : TPTP v9.0.0. Released v7.3.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.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 14:49:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 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: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------