TSTP Solution File: KRS112+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS112+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %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 : Wed Aug 31 17:30:50 EDT 2022
% Result : Unsatisfiable 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 92 ( 8 unt; 0 def)
% Number of atoms : 297 ( 19 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 325 ( 120 ~; 111 |; 64 &)
% ( 14 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 179 ( 148 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f342,plain,
$false,
inference(subsumption_resolution,[],[f341,f217]) ).
fof(f217,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
cUnsatisfiable(i2003_11_14_17_21_19256),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f341,plain,
~ cUnsatisfiable(i2003_11_14_17_21_19256),
inference(resolution,[],[f327,f259]) ).
fof(f259,plain,
! [X0] :
( ~ cp(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f253,f254]) ).
fof(f254,plain,
! [X0] :
( ~ cpxcomp(X0)
| ~ cp(X0) ),
inference(resolution,[],[f184,f226]) ).
fof(f226,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ cp(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ( cp(X0)
| ra_Px1(X0,sK5(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f171,f172]) ).
fof(f172,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK5(X0)) ),
introduced(choice_axiom,[]) ).
fof(f171,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(rectify,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp(X0) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( cp(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( cp(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X3] :
( ~ ? [X4] : ra_Px1(X3,X4)
<=> cp(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f184,plain,
! [X0] :
( ra_Px1(X0,sK1(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK1(X0))
| ~ cpxcomp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f136,f137]) ).
fof(f137,plain,
! [X0] :
( ? [X2] : ra_Px1(X0,X2)
=> ra_Px1(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cpxcomp(X0) ) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cpxcomp(X0) ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( cpxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X3] :
( ? [X5] : ra_Px1(X3,X5)
<=> cpxcomp(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f253,plain,
! [X0] :
( cpxcomp(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f201,f178]) ).
fof(f178,plain,
! [X0] :
( ~ ca_Ax2(X0)
| cpxcomp(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( ca_Ax2(X0)
| ( rinvF1(X0,sK0(X0))
& ~ ca_Vx3(sK0(X0)) )
| ~ cpxcomp(X0) )
& ( ( ! [X2] :
( ~ rinvF1(X0,X2)
| ca_Vx3(X2) )
& cpxcomp(X0) )
| ~ ca_Ax2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f131,f132]) ).
fof(f132,plain,
! [X0] :
( ? [X1] :
( rinvF1(X0,X1)
& ~ ca_Vx3(X1) )
=> ( rinvF1(X0,sK0(X0))
& ~ ca_Vx3(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X0] :
( ( ca_Ax2(X0)
| ? [X1] :
( rinvF1(X0,X1)
& ~ ca_Vx3(X1) )
| ~ cpxcomp(X0) )
& ( ( ! [X2] :
( ~ rinvF1(X0,X2)
| ca_Vx3(X2) )
& cpxcomp(X0) )
| ~ ca_Ax2(X0) ) ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ( ca_Ax2(X0)
| ? [X1] :
( rinvF1(X0,X1)
& ~ ca_Vx3(X1) )
| ~ cpxcomp(X0) )
& ( ( ! [X1] :
( ~ rinvF1(X0,X1)
| ca_Vx3(X1) )
& cpxcomp(X0) )
| ~ ca_Ax2(X0) ) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( ca_Ax2(X0)
| ? [X1] :
( rinvF1(X0,X1)
& ~ ca_Vx3(X1) )
| ~ cpxcomp(X0) )
& ( ( ! [X1] :
( ~ rinvF1(X0,X1)
| ca_Vx3(X1) )
& cpxcomp(X0) )
| ~ ca_Ax2(X0) ) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( ! [X1] :
( ~ rinvF1(X0,X1)
| ca_Vx3(X1) )
& cpxcomp(X0) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( ! [X1] :
( rinvF1(X0,X1)
=> ca_Vx3(X1) )
& cpxcomp(X0) ) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X3] :
( ( ! [X4] :
( rinvF1(X3,X4)
=> ca_Vx3(X4) )
& cpxcomp(X3) )
<=> ca_Ax2(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f201,plain,
! [X0] :
( ca_Ax2(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ( ( rf(X0,sK2(X0))
& cp(sK2(X0))
& ca_Ax2(sK3(X0))
& rf1(X0,sK3(X0)) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X3] :
( ~ rf(X0,X3)
| ~ cp(X3) )
| ! [X4] :
( ~ ca_Ax2(X4)
| ~ rf1(X0,X4) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f149,f151,f150]) ).
fof(f150,plain,
! [X0] :
( ? [X1] :
( rf(X0,X1)
& cp(X1) )
=> ( rf(X0,sK2(X0))
& cp(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X0] :
( ? [X2] :
( ca_Ax2(X2)
& rf1(X0,X2) )
=> ( ca_Ax2(sK3(X0))
& rf1(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0] :
( ( ( ? [X1] :
( rf(X0,X1)
& cp(X1) )
& ? [X2] :
( ca_Ax2(X2)
& rf1(X0,X2) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X3] :
( ~ rf(X0,X3)
| ~ cp(X3) )
| ! [X4] :
( ~ ca_Ax2(X4)
| ~ rf1(X0,X4) ) ) ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( ( ? [X1] :
( rf(X0,X1)
& cp(X1) )
& ? [X2] :
( ca_Ax2(X2)
& rf1(X0,X2) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ cp(X1) )
| ! [X2] :
( ~ ca_Ax2(X2)
| ~ rf1(X0,X2) ) ) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ( ( ? [X1] :
( rf(X0,X1)
& cp(X1) )
& ? [X2] :
( ca_Ax2(X2)
& rf1(X0,X2) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ~ cp(X1) )
| ! [X2] :
( ~ ca_Ax2(X2)
| ~ rf1(X0,X2) ) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( ? [X1] :
( rf(X0,X1)
& cp(X1) )
& ? [X2] :
( ca_Ax2(X2)
& rf1(X0,X2) ) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X4] :
( cp(X4)
& rf(X3,X4) )
& ? [X4] :
( ca_Ax2(X4)
& rf1(X3,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f327,plain,
cp(sK3(i2003_11_14_17_21_19256)),
inference(backward_demodulation,[],[f307,f308]) ).
fof(f308,plain,
sK4(i2003_11_14_17_21_19256) = sK3(i2003_11_14_17_21_19256),
inference(resolution,[],[f300,f217]) ).
fof(f300,plain,
! [X1] :
( ~ cUnsatisfiable(X1)
| sK3(X1) = sK4(X1) ),
inference(subsumption_resolution,[],[f297,f267]) ).
fof(f267,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Vx3(X0) ),
inference(subsumption_resolution,[],[f265,f201]) ).
fof(f265,plain,
! [X0] :
( ca_Vx3(X0)
| ~ ca_Ax2(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f256,f179]) ).
fof(f179,plain,
! [X2,X0] :
( ~ rinvF1(X0,X2)
| ~ ca_Ax2(X0)
| ca_Vx3(X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f256,plain,
! [X0] :
( rinvF1(sK3(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f200,f191]) ).
fof(f191,plain,
! [X0,X1] :
( ~ rf1(X0,X1)
| rinvF1(X1,X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ( rf1(X0,X1)
| ~ rinvF1(X1,X0) )
& ( rinvF1(X1,X0)
| ~ rf1(X0,X1) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( rf1(X0,X1)
<=> rinvF1(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X4,X3] :
( rinvF1(X3,X4)
<=> rf1(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f200,plain,
! [X0] :
( rf1(X0,sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f297,plain,
! [X1] :
( ~ cUnsatisfiable(X1)
| sK3(X1) = sK4(X1)
| ~ ca_Vx3(X1) ),
inference(resolution,[],[f278,f258]) ).
fof(f258,plain,
! [X1] :
( rf1(X1,sK4(X1))
| ~ ca_Vx3(X1) ),
inference(resolution,[],[f212,f206]) ).
fof(f206,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf1(X0,X1) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( ~ rs(X1,X0)
| rf1(X1,X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( rs(X1,X0)
=> rf1(X1,X0) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X4,X3] :
( rs(X3,X4)
=> rf1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f212,plain,
! [X0] :
( rs(X0,sK4(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1) ) )
& ( ( cowlThing(sK4(X0))
& rs(X0,sK4(X0)) )
| ~ ca_Vx3(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f160,f161]) ).
fof(f161,plain,
! [X0] :
( ? [X2] :
( cowlThing(X2)
& rs(X0,X2) )
=> ( cowlThing(sK4(X0))
& rs(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1) ) )
& ( ? [X2] :
( cowlThing(X2)
& rs(X0,X2) )
| ~ ca_Vx3(X0) ) ),
inference(rectify,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( ca_Vx3(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1) ) )
& ( ? [X1] :
( cowlThing(X1)
& rs(X0,X1) )
| ~ ca_Vx3(X0) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ca_Vx3(X0)
<=> ? [X1] :
( cowlThing(X1)
& rs(X0,X1) ) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X3] :
( ca_Vx3(X3)
<=> ? [X4] :
( rs(X3,X4)
& cowlThing(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f278,plain,
! [X0,X1] :
( ~ rf1(X0,X1)
| ~ cUnsatisfiable(X0)
| sK3(X0) = X1 ),
inference(resolution,[],[f211,f200]) ).
fof(f211,plain,
! [X2,X0,X1] :
( ~ rf1(X2,X1)
| ~ rf1(X2,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ~ rf1(X2,X1)
| X0 = X1
| ~ rf1(X2,X0) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X0,X2,X1] :
( ~ rf1(X1,X2)
| X0 = X2
| ~ rf1(X1,X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ rf1(X1,X0)
| ~ rf1(X1,X2) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ( rf1(X1,X0)
& rf1(X1,X2) )
=> X0 = X2 ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X4,X3,X6] :
( ( rf1(X3,X4)
& rf1(X3,X6) )
=> X4 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f307,plain,
cp(sK4(i2003_11_14_17_21_19256)),
inference(subsumption_resolution,[],[f304,f217]) ).
fof(f304,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| cp(sK4(i2003_11_14_17_21_19256)) ),
inference(superposition,[],[f202,f301]) ).
fof(f301,plain,
sK2(i2003_11_14_17_21_19256) = sK4(i2003_11_14_17_21_19256),
inference(resolution,[],[f293,f217]) ).
fof(f293,plain,
! [X1] :
( ~ cUnsatisfiable(X1)
| sK4(X1) = sK2(X1) ),
inference(subsumption_resolution,[],[f291,f267]) ).
fof(f291,plain,
! [X1] :
( sK4(X1) = sK2(X1)
| ~ cUnsatisfiable(X1)
| ~ ca_Vx3(X1) ),
inference(resolution,[],[f276,f257]) ).
fof(f257,plain,
! [X0] :
( rf(X0,sK4(X0))
| ~ ca_Vx3(X0) ),
inference(resolution,[],[f212,f210]) ).
fof(f210,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rf(X1,X0) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X1,X0] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( rs(X0,X1)
=> rf(X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X3,X4] :
( rs(X3,X4)
=> rf(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f276,plain,
! [X0,X1] :
( ~ rf(X1,X0)
| ~ cUnsatisfiable(X1)
| sK2(X1) = X0 ),
inference(resolution,[],[f189,f203]) ).
fof(f203,plain,
! [X0] :
( rf(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ~ rf(X1,X2)
| X0 = X2
| ~ rf(X1,X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ rf(X1,X2)
| ~ rf(X1,X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X2,X1,X0] :
( X0 = X2
| ~ rf(X1,X0)
| ~ rf(X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X2,X1,X0] :
( ( rf(X1,X0)
& rf(X1,X2) )
=> X0 = X2 ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X6,X3,X4] :
( ( rf(X3,X6)
& rf(X3,X4) )
=> X4 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f202,plain,
! [X0] :
( cp(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS112+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 00:30:02 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.49 % (22480)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.50 % (22480)First to succeed.
% 0.21/0.50 % (22480)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (22480)------------------------------
% 0.21/0.50 % (22480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (22480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (22480)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (22480)Memory used [KB]: 5500
% 0.21/0.50 % (22480)Time elapsed: 0.087 s
% 0.21/0.50 % (22480)Instructions burned: 5 (million)
% 0.21/0.50 % (22480)------------------------------
% 0.21/0.50 % (22480)------------------------------
% 0.21/0.50 % (22472)Success in time 0.145 s
%------------------------------------------------------------------------------