TSTP Solution File: NUN066+2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUN066+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 : Tue Apr 30 20:36:20 EDT 2024
% Result : Theorem 1.84s 0.60s
% Output : CNFRefutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 16
% Syntax : Number of formulae : 122 ( 18 unt; 0 def)
% Number of atoms : 295 ( 102 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 283 ( 110 ~; 126 |; 37 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 8 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 182 ( 162 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [Y24] :
! [X19] :
( ( ~ r1(X19)
& X19 != Y24 )
| ( r1(X19)
& X19 = Y24 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X11] :
? [Y21] :
! [X12] :
( ( ~ r2(X11,X12)
& X12 != Y21 )
| ( r2(X11,X12)
& X12 = Y21 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X1,X8] :
? [Y4] :
( ? [Y5] :
( ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) )
& Y5 = Y4 )
& ? [Y7] :
( r2(Y7,Y4)
& r3(X1,X8,Y7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X3,X10] :
( ! [Y12] :
( ! [Y13] :
( ~ r2(X3,Y13)
| Y13 != Y12 )
| ~ r2(X10,Y12) )
| X3 = X10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X7,Y10] :
( ! [Y20] :
( ~ r1(Y20)
| Y20 != Y10 )
| ~ r2(X7,Y10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,conjecture,
? [Y1] :
( ! [Y2] :
( ! [Y3] :
( ! [Y4] :
( ~ r1(Y4)
| ~ r2(Y4,Y3) )
| ~ r2(Y3,Y2) )
| Y1 != Y2 )
& ! [Y5] :
( ~ r1(Y5)
| Y1 != Y5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ? [Y1] :
( ! [Y2] :
( ! [Y3] :
( ! [Y4] :
( ~ r1(Y4)
| ~ r2(Y4,Y3) )
| ~ r2(Y3,Y2) )
| Y1 != Y2 )
& ! [Y5] :
( ~ r1(Y5)
| Y1 != Y5 ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [Y24,X19] :
( pd0_0(X19,Y24)
=> ( ~ r1(X19)
& X19 != Y24 ) ),
introduced(predicate_definition,[f1]) ).
fof(f15,plain,
? [Y24] :
! [X19] :
( pd0_0(X19,Y24)
| ( r1(X19)
& X19 = Y24 ) ),
inference(formula_renaming,[status(thm)],[f1,f14]) ).
fof(f16,plain,
! [X19] :
( pd0_0(X19,sk0_0)
| ( r1(X19)
& X19 = sk0_0 ) ),
inference(skolemization,[status(esa)],[f15]) ).
fof(f17,plain,
! [X0] :
( pd0_0(X0,sk0_0)
| r1(X0) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f18,plain,
! [X0] :
( pd0_0(X0,sk0_0)
| X0 = sk0_0 ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f19,plain,
! [X11,Y21,X12] :
( pd0_1(X12,Y21,X11)
=> ( ~ r2(X11,X12)
& X12 != Y21 ) ),
introduced(predicate_definition,[f2]) ).
fof(f20,plain,
! [X11] :
? [Y21] :
! [X12] :
( pd0_1(X12,Y21,X11)
| ( r2(X11,X12)
& X12 = Y21 ) ),
inference(formula_renaming,[status(thm)],[f2,f19]) ).
fof(f21,plain,
! [X11,X12] :
( pd0_1(X12,sk0_1(X11),X11)
| ( r2(X11,X12)
& X12 = sk0_1(X11) ) ),
inference(skolemization,[status(esa)],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( pd0_1(X0,sk0_1(X1),X1)
| r2(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( pd0_1(X0,sk0_1(X1),X1)
| X0 = sk0_1(X1) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f34,plain,
! [X1,X8] :
( r2(X8,sk0_6(X8,X1))
& r3(X1,sk0_6(X8,X1),sk0_5(X8,X1))
& sk0_5(X8,X1) = sk0_4(X8,X1)
& r2(sk0_7(X8,X1),sk0_4(X8,X1))
& r3(X1,X8,sk0_7(X8,X1)) ),
inference(skolemization,[status(esa)],[f5]) ).
fof(f35,plain,
! [X0,X1] : r2(X0,sk0_6(X0,X1)),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( ~ r2(X0,X1)
| X1 != X2
| ~ r2(X3,X2)
| X0 = X3 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f62,plain,
! [Y10] :
( ! [Y20] :
( ~ r1(Y20)
| Y20 != Y10 )
| ! [X7] : ~ r2(X7,Y10) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ r1(X0)
| X0 != X1
| ~ r2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f64,plain,
! [Y1] :
( ? [Y2] :
( ? [Y3] :
( ? [Y4] :
( r1(Y4)
& r2(Y4,Y3) )
& r2(Y3,Y2) )
& Y1 = Y2 )
| ? [Y5] :
( r1(Y5)
& Y1 = Y5 ) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f65,plain,
! [Y1,Y2] :
( pd0_5(Y2,Y1)
=> ( ? [Y3] :
( ? [Y4] :
( r1(Y4)
& r2(Y4,Y3) )
& r2(Y3,Y2) )
& Y1 = Y2 ) ),
introduced(predicate_definition,[f64]) ).
fof(f66,plain,
! [Y1] :
( ? [Y2] : pd0_5(Y2,Y1)
| ? [Y5] :
( r1(Y5)
& Y1 = Y5 ) ),
inference(formula_renaming,[status(thm)],[f64,f65]) ).
fof(f67,plain,
! [Y1] :
( pd0_5(sk0_20(Y1),Y1)
| ( r1(sk0_21(Y1))
& Y1 = sk0_21(Y1) ) ),
inference(skolemization,[status(esa)],[f66]) ).
fof(f68,plain,
! [X0] :
( pd0_5(sk0_20(X0),X0)
| r1(sk0_21(X0)) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f69,plain,
! [X0] :
( pd0_5(sk0_20(X0),X0)
| X0 = sk0_21(X0) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f70,plain,
! [Y24,X19] :
( ~ pd0_0(X19,Y24)
| ( ~ r1(X19)
& X19 != Y24 ) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f71,plain,
! [X0,X1] :
( ~ pd0_0(X0,X1)
| ~ r1(X0) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f72,plain,
! [X0,X1] :
( ~ pd0_0(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f73,plain,
! [X11,Y21,X12] :
( ~ pd0_1(X12,Y21,X11)
| ( ~ r2(X11,X12)
& X12 != Y21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ pd0_1(X0,X1,X2)
| ~ r2(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f73]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ pd0_1(X0,X1,X2)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f73]) ).
fof(f85,plain,
! [Y1,Y2] :
( ~ pd0_5(Y2,Y1)
| ( ? [Y3] :
( ? [Y4] :
( r1(Y4)
& r2(Y4,Y3) )
& r2(Y3,Y2) )
& Y1 = Y2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f65]) ).
fof(f86,plain,
! [Y1,Y2] :
( ~ pd0_5(Y2,Y1)
| ( r1(sk0_23(Y2,Y1))
& r2(sk0_23(Y2,Y1),sk0_22(Y2,Y1))
& r2(sk0_22(Y2,Y1),Y2)
& Y1 = Y2 ) ),
inference(skolemization,[status(esa)],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| r1(sk0_23(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| r2(sk0_23(X0,X1),sk0_22(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f86]) ).
fof(f89,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| r2(sk0_22(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f86]) ).
fof(f90,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| X1 = X0 ),
inference(cnf_transformation,[status(esa)],[f86]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ~ r2(X0,X1)
| ~ r2(X2,X1)
| X0 = X2 ),
inference(destructive_equality_resolution,[status(esa)],[f46]) ).
fof(f92,plain,
! [X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X0) ),
inference(destructive_equality_resolution,[status(esa)],[f63]) ).
fof(f93,plain,
! [X0] : ~ pd0_0(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f72]) ).
fof(f94,plain,
! [X0,X1] : ~ pd0_1(X0,X0,X1),
inference(destructive_equality_resolution,[status(esa)],[f75]) ).
fof(f97,plain,
! [X0] :
( X0 = sk0_21(X0)
| X0 = sk0_20(X0) ),
inference(resolution,[status(thm)],[f69,f90]) ).
fof(f98,plain,
! [X0] :
( pd0_5(sk0_20(X0),X0)
| r1(X0)
| X0 = sk0_20(X0) ),
inference(paramodulation,[status(thm)],[f97,f68]) ).
fof(f99,plain,
! [X0] :
( r1(X0)
| X0 = sk0_20(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f98,f90]) ).
fof(f100,plain,
! [X0,X1] :
( ~ r1(sk0_22(X0,X1))
| ~ pd0_5(X0,X1) ),
inference(resolution,[status(thm)],[f92,f88]) ).
fof(f103,plain,
! [X0] :
( r2(sk0_22(sk0_20(X0),X0),sk0_20(X0))
| X0 = sk0_21(X0) ),
inference(resolution,[status(thm)],[f89,f69]) ).
fof(f105,plain,
! [X0,X1] :
( X0 = sk0_21(X0)
| ~ r2(X1,sk0_20(X0))
| X1 = sk0_22(sk0_20(X0),X0) ),
inference(resolution,[status(thm)],[f103,f91]) ).
fof(f106,plain,
! [X0] :
( X0 = sk0_21(X0)
| ~ r1(sk0_20(X0)) ),
inference(resolution,[status(thm)],[f103,f92]) ).
fof(f107,plain,
! [X0] :
( X0 = sk0_21(X0)
| sk0_20(X0) = sk0_20(sk0_20(X0)) ),
inference(resolution,[status(thm)],[f106,f99]) ).
fof(f111,plain,
! [X0] :
( pd0_5(sk0_20(X0),sk0_20(X0))
| sk0_20(X0) = sk0_21(sk0_20(X0))
| X0 = sk0_21(X0) ),
inference(paramodulation,[status(thm)],[f107,f69]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ r2(X0,sk0_6(X1,X2))
| X0 = X1 ),
inference(resolution,[status(thm)],[f35,f91]) ).
fof(f122,plain,
! [X0,X1] : ~ r1(sk0_6(X0,X1)),
inference(resolution,[status(thm)],[f35,f92]) ).
fof(f123,plain,
! [X0,X1] : sk0_6(X0,X1) = sk0_20(sk0_6(X0,X1)),
inference(resolution,[status(thm)],[f122,f99]) ).
fof(f127,plain,
r1(sk0_0),
inference(resolution,[status(thm)],[f17,f93]) ).
fof(f128,plain,
! [X0] : r2(X0,sk0_1(X0)),
inference(resolution,[status(thm)],[f22,f94]) ).
fof(f131,plain,
! [X0,X1,X2] :
( sk0_6(X0,X1) = sk0_21(sk0_6(X0,X1))
| ~ r2(X2,sk0_6(X0,X1))
| X2 = sk0_22(sk0_20(sk0_6(X0,X1)),sk0_6(X0,X1)) ),
inference(paramodulation,[status(thm)],[f123,f105]) ).
fof(f132,plain,
! [X0,X1,X2] :
( sk0_6(X0,X1) = sk0_21(sk0_6(X0,X1))
| ~ r2(X2,sk0_6(X0,X1))
| X2 = sk0_22(sk0_6(X0,X1),sk0_6(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f123,f131]) ).
fof(f150,plain,
! [X0] :
( sk0_20(X0) = sk0_21(sk0_20(X0))
| X0 = sk0_21(X0)
| r2(sk0_22(sk0_20(X0),sk0_20(X0)),sk0_20(X0)) ),
inference(resolution,[status(thm)],[f111,f89]) ).
fof(f233,plain,
! [X0] :
( sk0_20(X0) = sk0_21(sk0_20(X0))
| X0 = sk0_21(X0)
| X0 = sk0_21(X0)
| sk0_22(sk0_20(X0),sk0_20(X0)) = sk0_22(sk0_20(X0),X0) ),
inference(resolution,[status(thm)],[f150,f105]) ).
fof(f234,plain,
! [X0] :
( sk0_20(X0) = sk0_21(sk0_20(X0))
| X0 = sk0_21(X0)
| sk0_22(sk0_20(X0),sk0_20(X0)) = sk0_22(sk0_20(X0),X0) ),
inference(duplicate_literals_removal,[status(esa)],[f233]) ).
fof(f384,plain,
! [X0] :
( ~ r1(sk0_22(sk0_20(X0),X0))
| ~ pd0_5(sk0_20(X0),sk0_20(X0))
| sk0_20(X0) = sk0_21(sk0_20(X0))
| X0 = sk0_21(X0) ),
inference(paramodulation,[status(thm)],[f234,f100]) ).
fof(f385,plain,
! [X0] :
( ~ r1(sk0_22(sk0_20(X0),X0))
| sk0_20(X0) = sk0_21(sk0_20(X0))
| X0 = sk0_21(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f384,f111]) ).
fof(f393,plain,
! [X0,X1] :
( ~ r1(sk0_22(sk0_6(X0,X1),sk0_6(X0,X1)))
| sk0_20(sk0_6(X0,X1)) = sk0_21(sk0_20(sk0_6(X0,X1)))
| sk0_6(X0,X1) = sk0_21(sk0_6(X0,X1)) ),
inference(paramodulation,[status(thm)],[f123,f385]) ).
fof(f394,plain,
! [X0,X1] :
( ~ r1(sk0_22(sk0_6(X0,X1),sk0_6(X0,X1)))
| sk0_6(X0,X1) = sk0_21(sk0_20(sk0_6(X0,X1)))
| sk0_6(X0,X1) = sk0_21(sk0_6(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f123,f393]) ).
fof(f395,plain,
! [X0,X1] :
( ~ r1(sk0_22(sk0_6(X0,X1),sk0_6(X0,X1)))
| sk0_6(X0,X1) = sk0_21(sk0_6(X0,X1))
| sk0_6(X0,X1) = sk0_21(sk0_6(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f123,f394]) ).
fof(f396,plain,
! [X0,X1] :
( ~ r1(sk0_22(sk0_6(X0,X1),sk0_6(X0,X1)))
| sk0_6(X0,X1) = sk0_21(sk0_6(X0,X1)) ),
inference(duplicate_literals_removal,[status(esa)],[f395]) ).
fof(f437,plain,
! [X0,X1] :
( sk0_6(X0,X1) = sk0_21(sk0_6(X0,X1))
| X0 = sk0_22(sk0_6(X0,X1),sk0_6(X0,X1)) ),
inference(resolution,[status(thm)],[f132,f35]) ).
fof(f454,plain,
! [X0,X1] :
( pd0_5(sk0_20(sk0_6(X0,X1)),sk0_6(X0,X1))
| r1(sk0_6(X0,X1))
| X0 = sk0_22(sk0_6(X0,X1),sk0_6(X0,X1)) ),
inference(paramodulation,[status(thm)],[f437,f68]) ).
fof(f455,plain,
! [X0,X1] :
( pd0_5(sk0_6(X0,X1),sk0_6(X0,X1))
| r1(sk0_6(X0,X1))
| X0 = sk0_22(sk0_6(X0,X1),sk0_6(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f123,f454]) ).
fof(f456,plain,
! [X0,X1] :
( pd0_5(sk0_6(X0,X1),sk0_6(X0,X1))
| X0 = sk0_22(sk0_6(X0,X1),sk0_6(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f455,f122]) ).
fof(f461,plain,
! [X0,X1] :
( X0 = sk0_22(sk0_6(X0,X1),sk0_6(X0,X1))
| r2(sk0_22(sk0_6(X0,X1),sk0_6(X0,X1)),sk0_6(X0,X1)) ),
inference(resolution,[status(thm)],[f456,f89]) ).
fof(f532,plain,
! [X0,X1] : X0 = sk0_22(sk0_6(X0,X1),sk0_6(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[f461,f121]) ).
fof(f534,plain,
! [X0,X1] :
( ~ r1(X0)
| sk0_6(X0,X1) = sk0_21(sk0_6(X0,X1)) ),
inference(backward_demodulation,[status(thm)],[f532,f396]) ).
fof(f623,plain,
! [X0] : ~ r1(sk0_1(X0)),
inference(resolution,[status(thm)],[f128,f92]) ).
fof(f625,plain,
! [X0] :
( ~ r1(X0)
| X0 = sk0_0 ),
inference(resolution,[status(thm)],[f71,f18]) ).
fof(f630,plain,
! [X0,X1] :
( sk0_23(X0,X1) = sk0_0
| ~ pd0_5(X0,X1) ),
inference(resolution,[status(thm)],[f625,f87]) ).
fof(f909,plain,
( spl0_3
<=> r1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f911,plain,
( ~ r1(sk0_0)
| spl0_3 ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f927,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f911,f127]) ).
fof(f928,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f927]) ).
fof(f1830,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| X1 = sk0_1(X0) ),
inference(resolution,[status(thm)],[f74,f23]) ).
fof(f1834,plain,
! [X0,X1] : sk0_6(X0,X1) = sk0_1(X0),
inference(resolution,[status(thm)],[f1830,f35]) ).
fof(f1846,plain,
! [X0,X1] :
( ~ r1(X0)
| sk0_6(X0,X1) = sk0_21(sk0_1(X0)) ),
inference(backward_demodulation,[status(thm)],[f1834,f534]) ).
fof(f1847,plain,
! [X0] :
( ~ r1(X0)
| sk0_1(X0) = sk0_21(sk0_1(X0)) ),
inference(forward_demodulation,[status(thm)],[f1834,f1846]) ).
fof(f1848,plain,
! [X0,X1] : X0 = sk0_22(sk0_6(X0,X1),sk0_1(X0)),
inference(backward_demodulation,[status(thm)],[f1834,f532]) ).
fof(f1849,plain,
! [X0] : X0 = sk0_22(sk0_1(X0),sk0_1(X0)),
inference(forward_demodulation,[status(thm)],[f1834,f1848]) ).
fof(f1944,plain,
( spl0_97
<=> sk0_1(sk0_0) = sk0_0 ),
introduced(split_symbol_definition) ).
fof(f1945,plain,
( sk0_1(sk0_0) = sk0_0
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f1944]) ).
fof(f1968,plain,
( spl0_102
<=> sk0_23(sk0_1(sk0_0),sk0_1(sk0_0)) = sk0_0 ),
introduced(split_symbol_definition) ).
fof(f1969,plain,
( sk0_23(sk0_1(sk0_0),sk0_1(sk0_0)) = sk0_0
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f1968]) ).
fof(f1971,plain,
( spl0_103
<=> r1(sk0_1(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f1972,plain,
( r1(sk0_1(sk0_0))
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f1971]) ).
fof(f1981,plain,
( $false
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f1972,f623]) ).
fof(f1982,plain,
~ spl0_103,
inference(contradiction_clause,[status(thm)],[f1981]) ).
fof(f1997,plain,
( ~ r1(sk0_0)
| ~ spl0_97 ),
inference(paramodulation,[status(thm)],[f1945,f623]) ).
fof(f1998,plain,
( ~ spl0_3
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f1997,f909,f1944]) ).
fof(f2001,plain,
! [X0,X1] : sk0_1(X0) = sk0_20(sk0_6(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1834,f123]) ).
fof(f2002,plain,
! [X0] : sk0_1(X0) = sk0_20(sk0_1(X0)),
inference(forward_demodulation,[status(thm)],[f1834,f2001]) ).
fof(f3378,plain,
sk0_1(sk0_0) = sk0_21(sk0_1(sk0_0)),
inference(resolution,[status(thm)],[f1847,f127]) ).
fof(f3425,plain,
( spl0_151
<=> pd0_5(sk0_1(sk0_0),sk0_1(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3426,plain,
( pd0_5(sk0_1(sk0_0),sk0_1(sk0_0))
| ~ spl0_151 ),
inference(component_clause,[status(thm)],[f3425]) ).
fof(f3427,plain,
( ~ pd0_5(sk0_1(sk0_0),sk0_1(sk0_0))
| spl0_151 ),
inference(component_clause,[status(thm)],[f3425]) ).
fof(f3970,plain,
( sk0_23(sk0_1(sk0_0),sk0_1(sk0_0)) = sk0_0
| ~ spl0_151 ),
inference(resolution,[status(thm)],[f3426,f630]) ).
fof(f4029,plain,
( spl0_155
<=> r2(sk0_0,sk0_22(sk0_1(sk0_0),sk0_1(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f4030,plain,
( r2(sk0_0,sk0_22(sk0_1(sk0_0),sk0_1(sk0_0)))
| ~ spl0_155 ),
inference(component_clause,[status(thm)],[f4029]) ).
fof(f4032,plain,
( ~ pd0_5(sk0_1(sk0_0),sk0_1(sk0_0))
| r2(sk0_0,sk0_22(sk0_1(sk0_0),sk0_1(sk0_0)))
| ~ spl0_102 ),
inference(paramodulation,[status(thm)],[f1969,f88]) ).
fof(f4033,plain,
( ~ spl0_151
| spl0_155
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f4032,f3425,f4029,f1968]) ).
fof(f4036,plain,
( r2(sk0_0,sk0_0)
| ~ spl0_155 ),
inference(forward_demodulation,[status(thm)],[f1849,f4030]) ).
fof(f4037,plain,
( sk0_0 = sk0_1(sk0_0)
| ~ spl0_155 ),
inference(resolution,[status(thm)],[f4036,f1830]) ).
fof(f4038,plain,
( spl0_97
| ~ spl0_155 ),
inference(split_clause,[status(thm)],[f4037,f1944,f4029]) ).
fof(f4135,plain,
( spl0_157
<=> pd0_5(sk0_20(sk0_1(sk0_0)),sk0_1(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4136,plain,
( pd0_5(sk0_20(sk0_1(sk0_0)),sk0_1(sk0_0))
| ~ spl0_157 ),
inference(component_clause,[status(thm)],[f4135]) ).
fof(f4138,plain,
( pd0_5(sk0_20(sk0_1(sk0_0)),sk0_1(sk0_0))
| r1(sk0_1(sk0_0)) ),
inference(paramodulation,[status(thm)],[f3378,f68]) ).
fof(f4139,plain,
( spl0_157
| spl0_103 ),
inference(split_clause,[status(thm)],[f4138,f4135,f1971]) ).
fof(f4143,plain,
( pd0_5(sk0_1(sk0_0),sk0_1(sk0_0))
| ~ spl0_157 ),
inference(forward_demodulation,[status(thm)],[f2002,f4136]) ).
fof(f4313,plain,
( $false
| spl0_151
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[status(thm)],[f4143,f3427]) ).
fof(f4314,plain,
( spl0_151
| ~ spl0_157 ),
inference(contradiction_clause,[status(thm)],[f4313]) ).
fof(f4315,plain,
( spl0_102
| ~ spl0_151 ),
inference(split_clause,[status(thm)],[f3970,f1968,f3425]) ).
fof(f4316,plain,
$false,
inference(sat_refutation,[status(thm)],[f928,f1982,f1998,f4033,f4038,f4139,f4314,f4315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUN066+2 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 22:35:43 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 1.84/0.60 % Refutation found
% 1.84/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.84/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.14/0.63 % Elapsed time: 0.293195 seconds
% 2.14/0.63 % CPU time: 2.188952 seconds
% 2.14/0.63 % Total memory used: 94.809 MB
% 2.14/0.63 % Net memory used: 93.163 MB
%------------------------------------------------------------------------------