%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUN067+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:29:27 PM UTC 2026
% Result : Theorem 0.57s 0.80s
% Output : Proof 0.57s
% Verified :
% Comments :
%------------------------------------------------------------------------------
fof(f0,axiom,
? [Y24] :
! [X19] :
( ( X19 = Y24
& r1(X19) )
| ( X19 != Y24
& ~ r1(X19) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f0_nnf,plain,
? [Y24] :
! [X19] :
( ( X19 = Y24
& r1(X19) )
| ( X19 != Y24
& ~ r1(X19) ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X19] :
( ( X19 = sk0
& r1(X19) )
| ( X19 != sk0
& ~ r1(X19) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c1,plain,
( X1 = sk0
| ~ r1(X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
fof(f11,conjecture,
? [Y1] :
! [Y2] :
( Y1 != Y2
| ~ r1(Y2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerosexist) ).
fof(f11_neg,negated_conjecture,
~ ? [Y1] :
! [Y2] :
( Y1 != Y2
| ~ r1(Y2) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f11_nnf,plain,
! [Y1] :
? [Y2] :
( Y1 = Y2
& r1(Y2) ),
inference(nnf_transformation,[status(thm)],[f11_neg]) ).
fof(f11_sk,plain,
! [Y1] :
( Y1 = sk20(Y1)
& r1(sk20(Y1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk20])],[f11_nnf]) ).
cnf(c40,plain,
X0 = sk20(X0),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(c39,plain,
r1(sk20(X0)),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p41,plain,
r1(X0),
inference(superposition,[status(thm)],[c40,c39]) ).
cnf(p42,plain,
X0 = sk0,
inference(resolution,[status(thm)],[c1,p41]) ).
fof(f10,axiom,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( Y20 != Y10
| ~ r1(Y20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).
fof(f10_nnf,plain,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( Y20 != Y10
| ~ r1(Y20) ) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [Y20,Y10,X7] :
( ~ r2(X7,Y10)
| Y20 != Y10
| ~ r1(Y20) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c38,plain,
( ~ r2(X0,X1)
| X2 != X1
| ~ r1(X2) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p44,plain,
( ~ sk0
| ~ sk0
| ~ sk0 ),
inference(demodulation,[status(thm)],[p42,c38]) ).
cnf(p45,plain,
( ~ sk0
| ~ sk0 ),
inference(factoring,[status(thm)],[p44]) ).
cnf(p46,plain,
~ sk0,
inference(factoring,[status(thm)],[p45]) ).
fof(f4,axiom,
! [X1,X8] :
? [Y4] :
( ? [Y7] :
( r3(X1,X8,Y7)
& r2(Y7,Y4) )
& ? [Y5] :
( Y5 = Y4
& ? [Y15] :
( r3(X1,Y15,Y5)
& r2(X8,Y15) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).
fof(f4_nnf,plain,
! [X1,X8] :
? [Y4] :
( ? [Y7] :
( r3(X1,X8,Y7)
& r2(Y7,Y4) )
& ? [Y5] :
( Y5 = Y4
& ? [Y15] :
( r3(X1,Y15,Y5)
& r2(X8,Y15) ) ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X8,X1] :
( r3(X1,X8,sk7(X1,X8))
& r2(sk7(X1,X8),sk4(X1,X8))
& sk5(X1,X8) = sk4(X1,X8)
& r3(X1,sk6(X1,X8),sk5(X1,X8))
& r2(X8,sk6(X1,X8)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5,sk6,sk7])],[f4_nnf]) ).
cnf(c16,plain,
r2(X1,sk6(X0,X1)),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p43,plain,
sk0,
inference(demodulation,[status(thm)],[p42,c16]) ).
cnf(p47,plain,
$false,
inference(resolution,[status(thm)],[p46,p43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN067+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 05:54:56 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.57/0.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.80 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------