TSTP Solution File: KRS112+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS112+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:24:48 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 79 ( 13 unt; 0 def)
% Number of atoms : 232 ( 13 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 252 ( 99 ~; 95 |; 43 &)
% ( 10 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 129 ( 112 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf1(X,Y)
& ca_Ax2(Y) )
& ? [Y] :
( rf(X,Y)
& cp(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X] :
( ca_Ax2(X)
<=> ( cpxcomp(X)
& ! [Y] :
( rinvF1(X,Y)
=> ca_Vx3(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rs(X,Y)
& cowlThing(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X,Y,Z] :
( ( rf(X,Y)
& rf(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X,Y,Z] :
( ( rf1(X,Y)
& rf1(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X,Y] :
( rinvF1(X,Y)
<=> rf1(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
cUnsatisfiable(i2003_11_14_17_21_19256),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X,Y] :
( rs(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f116,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rf1(X,Y)
& ca_Ax2(Y) )
& ? [Y] :
( rf(X,Y)
& cp(Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y] :
( ~ rf1(X,Y)
| ~ ca_Ax2(Y) )
| ! [Y] :
( ~ rf(X,Y)
| ~ cp(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f26]) ).
fof(f117,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rf1(X,Y)
& ca_Ax2(Y) )
& ? [Y] :
( rf(X,Y)
& cp(Y) ) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rf1(X,Y)
| ~ ca_Ax2(Y) )
| ! [Y] :
( ~ rf(X,Y)
| ~ cp(Y) ) ) ),
inference(miniscoping,[status(esa)],[f116]) ).
fof(f118,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( rf1(X,sk0_0(X))
& ca_Ax2(sk0_0(X))
& rf(X,sk0_1(X))
& cp(sk0_1(X)) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rf1(X,Y)
| ~ ca_Ax2(Y) )
| ! [Y] :
( ~ rf(X,Y)
| ~ cp(Y) ) ) ),
inference(skolemization,[status(esa)],[f117]) ).
fof(f119,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf1(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f120,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Ax2(sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f121,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf(X0,sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f122,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp(sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f124,plain,
! [X] :
( cp(X)
<=> ! [Y] : ~ ra_Px1(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f125,plain,
! [X] :
( ( ~ cp(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ( cp(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f124]) ).
fof(f126,plain,
( ! [X] :
( ~ cp(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( cp(X)
| ? [Y] : ra_Px1(X,Y) ) ),
inference(miniscoping,[status(esa)],[f125]) ).
fof(f127,plain,
( ! [X] :
( ~ cp(X)
| ! [Y] : ~ ra_Px1(X,Y) )
& ! [X] :
( cp(X)
| ra_Px1(X,sk0_2(X)) ) ),
inference(skolemization,[status(esa)],[f126]) ).
fof(f128,plain,
! [X0,X1] :
( ~ cp(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f127]) ).
fof(f130,plain,
! [X] :
( ( ~ cpxcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ( cpxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(NNF_transformation,[status(esa)],[f28]) ).
fof(f131,plain,
( ! [X] :
( ~ cpxcomp(X)
| ? [Y0] : ra_Px1(X,Y0) )
& ! [X] :
( cpxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(miniscoping,[status(esa)],[f130]) ).
fof(f132,plain,
( ! [X] :
( ~ cpxcomp(X)
| ra_Px1(X,sk0_3(X)) )
& ! [X] :
( cpxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) ) ),
inference(skolemization,[status(esa)],[f131]) ).
fof(f133,plain,
! [X0] :
( ~ cpxcomp(X0)
| ra_Px1(X0,sk0_3(X0)) ),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f135,plain,
! [X] :
( ca_Ax2(X)
<=> ( cpxcomp(X)
& ! [Y] :
( ~ rinvF1(X,Y)
| ca_Vx3(Y) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f136,plain,
! [X] :
( ( ~ ca_Ax2(X)
| ( cpxcomp(X)
& ! [Y] :
( ~ rinvF1(X,Y)
| ca_Vx3(Y) ) ) )
& ( ca_Ax2(X)
| ~ cpxcomp(X)
| ? [Y] :
( rinvF1(X,Y)
& ~ ca_Vx3(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f135]) ).
fof(f137,plain,
( ! [X] :
( ~ ca_Ax2(X)
| ( cpxcomp(X)
& ! [Y] :
( ~ rinvF1(X,Y)
| ca_Vx3(Y) ) ) )
& ! [X] :
( ca_Ax2(X)
| ~ cpxcomp(X)
| ? [Y] :
( rinvF1(X,Y)
& ~ ca_Vx3(Y) ) ) ),
inference(miniscoping,[status(esa)],[f136]) ).
fof(f138,plain,
( ! [X] :
( ~ ca_Ax2(X)
| ( cpxcomp(X)
& ! [Y] :
( ~ rinvF1(X,Y)
| ca_Vx3(Y) ) ) )
& ! [X] :
( ca_Ax2(X)
| ~ cpxcomp(X)
| ( rinvF1(X,sk0_4(X))
& ~ ca_Vx3(sk0_4(X)) ) ) ),
inference(skolemization,[status(esa)],[f137]) ).
fof(f139,plain,
! [X0] :
( ~ ca_Ax2(X0)
| cpxcomp(X0) ),
inference(cnf_transformation,[status(esa)],[f138]) ).
fof(f140,plain,
! [X0,X1] :
( ~ ca_Ax2(X0)
| ~ rinvF1(X0,X1)
| ca_Vx3(X1) ),
inference(cnf_transformation,[status(esa)],[f138]) ).
fof(f143,plain,
! [X] :
( ( ~ ca_Vx3(X)
| ? [Y] :
( rs(X,Y)
& cowlThing(Y) ) )
& ( ca_Vx3(X)
| ! [Y] :
( ~ rs(X,Y)
| ~ cowlThing(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f30]) ).
fof(f144,plain,
( ! [X] :
( ~ ca_Vx3(X)
| ? [Y] :
( rs(X,Y)
& cowlThing(Y) ) )
& ! [X] :
( ca_Vx3(X)
| ! [Y] :
( ~ rs(X,Y)
| ~ cowlThing(Y) ) ) ),
inference(miniscoping,[status(esa)],[f143]) ).
fof(f145,plain,
( ! [X] :
( ~ ca_Vx3(X)
| ( rs(X,sk0_5(X))
& cowlThing(sk0_5(X)) ) )
& ! [X] :
( ca_Vx3(X)
| ! [Y] :
( ~ rs(X,Y)
| ~ cowlThing(Y) ) ) ),
inference(skolemization,[status(esa)],[f144]) ).
fof(f146,plain,
! [X0] :
( ~ ca_Vx3(X0)
| rs(X0,sk0_5(X0)) ),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f149,plain,
! [X,Y,Z] :
( ~ rf(X,Y)
| ~ rf(X,Z)
| Y = Z ),
inference(pre_NNF_transformation,[status(esa)],[f31]) ).
fof(f150,plain,
! [Y,Z] :
( ! [X] :
( ~ rf(X,Y)
| ~ rf(X,Z) )
| Y = Z ),
inference(miniscoping,[status(esa)],[f149]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[status(esa)],[f150]) ).
fof(f152,plain,
! [X,Y,Z] :
( ~ rf1(X,Y)
| ~ rf1(X,Z)
| Y = Z ),
inference(pre_NNF_transformation,[status(esa)],[f32]) ).
fof(f153,plain,
! [Y,Z] :
( ! [X] :
( ~ rf1(X,Y)
| ~ rf1(X,Z) )
| Y = Z ),
inference(miniscoping,[status(esa)],[f152]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[status(esa)],[f153]) ).
fof(f159,plain,
! [X,Y] :
( ( ~ rinvF1(X,Y)
| rf1(Y,X) )
& ( rinvF1(X,Y)
| ~ rf1(Y,X) ) ),
inference(NNF_transformation,[status(esa)],[f34]) ).
fof(f160,plain,
( ! [X,Y] :
( ~ rinvF1(X,Y)
| rf1(Y,X) )
& ! [X,Y] :
( rinvF1(X,Y)
| ~ rf1(Y,X) ) ),
inference(miniscoping,[status(esa)],[f159]) ).
fof(f162,plain,
! [X0,X1] :
( rinvF1(X0,X1)
| ~ rf1(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f170,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f171,plain,
! [X,Y] :
( ~ rs(X,Y)
| rf(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f38]) ).
fof(f172,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f171]) ).
fof(f173,plain,
! [X,Y] :
( ~ rs(X,Y)
| rf1(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f39]) ).
fof(f174,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f173]) ).
fof(f175,plain,
rf1(i2003_11_14_17_21_19256,sk0_0(i2003_11_14_17_21_19256)),
inference(resolution,[status(thm)],[f119,f170]) ).
fof(f178,plain,
ca_Ax2(sk0_0(i2003_11_14_17_21_19256)),
inference(resolution,[status(thm)],[f120,f170]) ).
fof(f179,plain,
cpxcomp(sk0_0(i2003_11_14_17_21_19256)),
inference(resolution,[status(thm)],[f178,f139]) ).
fof(f180,plain,
( spl0_0
<=> ca_Ax2(sk0_0(i2003_11_14_17_21_19256)) ),
introduced(split_symbol_definition) ).
fof(f182,plain,
( ~ ca_Ax2(sk0_0(i2003_11_14_17_21_19256))
| spl0_0 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f188,plain,
cp(sk0_1(i2003_11_14_17_21_19256)),
inference(resolution,[status(thm)],[f122,f170]) ).
fof(f191,plain,
rinvF1(sk0_0(i2003_11_14_17_21_19256),i2003_11_14_17_21_19256),
inference(resolution,[status(thm)],[f175,f162]) ).
fof(f193,plain,
rf(i2003_11_14_17_21_19256,sk0_1(i2003_11_14_17_21_19256)),
inference(resolution,[status(thm)],[f121,f170]) ).
fof(f203,plain,
ra_Px1(sk0_0(i2003_11_14_17_21_19256),sk0_3(sk0_0(i2003_11_14_17_21_19256))),
inference(resolution,[status(thm)],[f133,f179]) ).
fof(f206,plain,
( spl0_4
<=> ca_Vx3(i2003_11_14_17_21_19256) ),
introduced(split_symbol_definition) ).
fof(f207,plain,
( ca_Vx3(i2003_11_14_17_21_19256)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( ~ ca_Ax2(sk0_0(i2003_11_14_17_21_19256))
| ca_Vx3(i2003_11_14_17_21_19256) ),
inference(resolution,[status(thm)],[f140,f191]) ).
fof(f210,plain,
( ~ spl0_0
| spl0_4 ),
inference(split_clause,[status(thm)],[f209,f180,f206]) ).
fof(f211,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f182,f178]) ).
fof(f212,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f211]) ).
fof(f215,plain,
! [X0] :
( ~ rf(i2003_11_14_17_21_19256,X0)
| sk0_1(i2003_11_14_17_21_19256) = X0 ),
inference(resolution,[status(thm)],[f151,f193]) ).
fof(f216,plain,
! [X0] :
( ~ rf1(i2003_11_14_17_21_19256,X0)
| sk0_0(i2003_11_14_17_21_19256) = X0 ),
inference(resolution,[status(thm)],[f154,f175]) ).
fof(f219,plain,
~ cp(sk0_0(i2003_11_14_17_21_19256)),
inference(resolution,[status(thm)],[f203,f128]) ).
fof(f220,plain,
( rs(i2003_11_14_17_21_19256,sk0_5(i2003_11_14_17_21_19256))
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f207,f146]) ).
fof(f223,plain,
( rf1(i2003_11_14_17_21_19256,sk0_5(i2003_11_14_17_21_19256))
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f220,f174]) ).
fof(f224,plain,
( rf(i2003_11_14_17_21_19256,sk0_5(i2003_11_14_17_21_19256))
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f220,f172]) ).
fof(f226,plain,
( sk0_0(i2003_11_14_17_21_19256) = sk0_5(i2003_11_14_17_21_19256)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f223,f216]) ).
fof(f234,plain,
( sk0_1(i2003_11_14_17_21_19256) = sk0_5(i2003_11_14_17_21_19256)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f224,f215]) ).
fof(f243,plain,
( sk0_1(i2003_11_14_17_21_19256) = sk0_0(i2003_11_14_17_21_19256)
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f226,f234]) ).
fof(f247,plain,
( cp(sk0_0(i2003_11_14_17_21_19256))
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f243,f188]) ).
fof(f248,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f247,f219]) ).
fof(f249,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f248]) ).
fof(f250,plain,
$false,
inference(sat_refutation,[status(thm)],[f210,f212,f249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS112+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:19:04 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.015134 seconds
% 0.13/0.37 % CPU time: 0.027652 seconds
% 0.13/0.37 % Total memory used: 1.050 MB
% 0.13/0.37 % Net memory used: 964.784 KB
%------------------------------------------------------------------------------