%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUN062+2 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 12:34:37 PM UTC 2025
% Result : Theorem 9.40s 1.50s
% Output : CNFRefutation 9.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 58 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 62 ( 28 ~; 21 |; 13 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 3 sgn 11 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(infiniteNumbers,plain,
! [X1] :
? [Y2,Y1] :
( ! [Y4] :
( ~ r1(Y4)
| Y1 != Y4 )
& ? [Y3] :
( r3(X1,Y1,Y3)
& Y3 = Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infiniteNumbers) ).
fof(infiniteNumbers_negated,plain,
~ ! [X1] :
? [Y2,Y1] :
( ! [Y4] :
( ~ r1(Y4)
| Y1 != Y4 )
& ? [Y3] :
( r3(X1,Y1,Y3)
& Y3 = Y2 ) ),
inference(negate_conjecture,[status(cth)],[infiniteNumbers]) ).
cnf(39,plain,
( X0 != X1
| ~ r3(sK21,X2,X0)
| r1(sK22(X1,X2)) ),
inference(cnf,[status(esa)],[infiniteNumbers_negated]) ).
cnf(l0,plain,
( sK8(sK21,sK7(X1_250,sK15(X0_262))) != sK8(sK21,sK7(X1_250,sK15(X0_262)))
| ~ r3(sK21,sK7(X1_250,sK15(X0_262)),sK8(sK21,sK7(X1_250,sK15(X0_262))))
| r1(sK22(sK8(sK21,sK7(X1_250,sK15(X0_262))),sK7(X1_250,sK15(X0_262)))) ),
inference(instantiation,[status(thm)],[39]) ).
fof(axiom_1,plain,
? [Y24] :
! [X19] :
( ( ~ r1(X19)
& X19 != Y24 )
| ( r1(X19)
& X19 = Y24 ) ),
file('Axioms/NUM008+0.ax',axiom_1) ).
cnf(0,plain,
( ~ r1(X0)
| sP0(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l4,plain,
( ~ r1(sK22(sK8(sK21,sK7(X1_250,sK15(X0_262))),sK7(X1_250,sK15(X0_262))))
| sP0(sK22(sK8(sK21,sK7(X1_250,sK15(X0_262))),sK7(X1_250,sK15(X0_262)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
( X0 = sK1
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l194,plain,
( sK22(sK8(sK21,sK7(X1_250,sK15(X0_262))),sK7(X1_250,sK15(X0_262))) = sK1
| ~ sP0(sK22(sK8(sK21,sK7(X1_250,sK15(X0_262))),sK7(X1_250,sK15(X0_262)))) ),
inference(instantiation,[status(thm)],[2]) ).
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(20,plain,
r3(X0,X1,sK8(X0,X1)),
inference(cnf,[status(esa)],[axiom_1a]) ).
cnf(l1,plain,
r3(sK21,sK7(X1_250,sK15(X0_262)),sK8(sK21,sK7(X1_250,sK15(X0_262)))),
inference(instantiation,[status(thm)],[20]) ).
fof(axiom_5a,plain,
! [X5] :
? [Y8] :
( ? [Y17] :
( r1(Y17)
& r4(X5,Y17,Y8) )
& ? [Y18] :
( r1(Y18)
& Y8 = Y18 ) ),
file('Axioms/NUM008+0.ax',axiom_5a) ).
cnf(33,plain,
sK15(X0) = sK17(X0),
inference(cnf,[status(esa)],[axiom_5a]) ).
cnf(l262,plain,
sK15(X0_262) = sK17(X0_262),
inference(instantiation,[status(thm)],[33]) ).
fof(axiom_7a,plain,
! [X7,Y10] :
( ! [Y20] :
( ~ r1(Y20)
| Y20 != Y10 )
| ~ r2(X7,Y10) ),
file('Axioms/NUM008+0.ax',axiom_7a) ).
cnf(38,plain,
( X0 != X1
| ~ r1(X0)
| ~ r2(X2,X1) ),
inference(cnf,[status(esa)],[axiom_7a]) ).
cnf(l268,plain,
( sK22(sK8(sK21,sK7(X1_250,sK15(X0_262))),sK7(X1_250,sK15(X0_262))) != sK1
| ~ r1(sK22(sK8(sK21,sK7(X1_250,sK15(X0_262))),sK7(X1_250,sK15(X0_262))))
| ~ r2(sK17(X0_262),sK1) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(40,plain,
( X0 != X1
| ~ r3(sK21,X2,X0)
| X2 = sK22(X1,X2) ),
inference(cnf,[status(esa)],[infiniteNumbers_negated]) ).
cnf(l278,plain,
( sK8(sK21,sK7(X1_250,sK15(X0_262))) != sK8(sK21,sK7(X1_250,sK15(X0_262)))
| ~ r3(sK21,sK7(X1_250,sK15(X0_262)),sK8(sK21,sK7(X1_250,sK15(X0_262))))
| sK7(X1_250,sK15(X0_262)) = sK22(sK8(sK21,sK7(X1_250,sK15(X0_262))),sK7(X1_250,sK15(X0_262))) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(16,plain,
r2(X0,sK7(X1,X0)),
inference(cnf,[status(esa)],[axiom_1a]) ).
cnf(l250,plain,
r2(sK15(X0_262),sK7(X1_250,sK15(X0_262))),
inference(instantiation,[status(thm)],[16]) ).
cnf(l279,plain,
r3(sK21,sK7(X1_250,sK15(X0_262)),sK8(sK21,sK7(X1_250,sK15(X0_262)))),
inference(instantiation,[status(thm)],[20]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l194,l1,l262,l268,l278,l250,l279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUN062+2 : TPTP v9.0.0. Released v7.3.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 14:42:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 4.82/0.97 % launching worker at depth: 11
% 9.40/1.50 % SZS status Theorem for theBenchmark
% 9.40/1.50 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------