%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUN073+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 : n026.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 12:34:39 PM UTC 2025
% Result : Theorem 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 44 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 56 ( 31 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 24 ( 1 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(oneuneqtwo,plain,
! [Y1] :
( ! [Y2] :
( ! [Y4] :
( ~ r1(Y4)
| ~ r2(Y4,Y2) )
| Y2 != Y1 )
| ! [Y3] :
( ! [Y5] :
( ~ r1(Y5)
| ~ r2(Y5,Y3) )
| ~ r2(Y3,Y1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneuneqtwo) ).
fof(oneuneqtwo_negated,plain,
~ ! [Y1] :
( ! [Y2] :
( ! [Y4] :
( ~ r1(Y4)
| ~ r2(Y4,Y2) )
| Y2 != Y1 )
| ! [Y3] :
( ! [Y5] :
( ~ r1(Y5)
| ~ r2(Y5,Y3) )
| ~ r2(Y3,Y1) ) ),
inference(negate_conjecture,[status(cth)],[oneuneqtwo]) ).
cnf(39,plain,
r1(sK23),
inference(cnf,[status(esa)],[oneuneqtwo_negated]) ).
cnf(l0,plain,
r1(sK23),
inference(instantiation,[status(thm)],[39]) ).
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(l1,plain,
( sK23 != sK24
| ~ r1(sK23)
| ~ r2(sK25,sK24) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(43,plain,
r2(sK25,sK24),
inference(cnf,[status(esa)],[oneuneqtwo_negated]) ).
cnf(l3,plain,
r2(sK25,sK24),
inference(instantiation,[status(thm)],[43]) ).
fof(axiom_3a,plain,
! [X3,X10] :
( ! [Y12] :
( ! [Y13] :
( ~ r2(X3,Y13)
| Y13 != Y12 )
| ~ r2(X10,Y12) )
| X3 = X10 ),
file('Axioms/NUM008+0.ax',axiom_3a) ).
cnf(26,plain,
( X0 != X1
| ~ r2(X2,X0)
| ~ r2(X3,X1)
| X2 = X3 ),
inference(cnf,[status(esa)],[axiom_3a]) ).
cnf(l2,plain,
( sK22 != sK21
| ~ r2(sK23,sK22)
| ~ r2(sK24,sK21)
| sK23 = sK24 ),
inference(instantiation,[status(thm)],[26]) ).
cnf(44,plain,
r2(sK24,sK21),
inference(cnf,[status(esa)],[oneuneqtwo_negated]) ).
cnf(l9,plain,
r2(sK24,sK21),
inference(instantiation,[status(thm)],[44]) ).
cnf(41,plain,
sK22 = sK21,
inference(cnf,[status(esa)],[oneuneqtwo_negated]) ).
cnf(l8,plain,
sK22 = sK21,
inference(instantiation,[status(thm)],[41]) ).
cnf(40,plain,
r2(sK23,sK22),
inference(cnf,[status(esa)],[oneuneqtwo_negated]) ).
cnf(l4,plain,
r2(sK23,sK22),
inference(instantiation,[status(thm)],[40]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l9,l8,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUN073+2 : TPTP v9.0.0. Released v7.3.0.
% 0.04/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 14:46:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 1
% 0.19/0.35 % launching worker at depth: 9
% 0.19/0.36 % launching worker at depth: 10
% 0.19/0.37 % SZS status Theorem for theBenchmark
% 0.19/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------