TSTP Solution File: KRS113+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS113+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_uns --cores 0 -t %d %s
% Computer : n015.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 17:29:44 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 71 ( 13 unt; 0 def)
% Number of atoms : 277 ( 20 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 312 ( 106 ~; 94 |; 84 &)
% ( 16 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 150 ( 111 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f247,plain,
$false,
inference(subsumption_resolution,[],[f240,f181]) ).
fof(f181,plain,
ca_Vx2(sK5(i2003_11_14_17_21_22376)),
inference(resolution,[],[f140,f176]) ).
fof(f176,plain,
sP0(i2003_11_14_17_21_22376),
inference(resolution,[],[f147,f126]) ).
fof(f126,plain,
cUnsatisfiable(i2003_11_14_17_21_22376),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
cUnsatisfiable(i2003_11_14_17_21_22376),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f147,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ( sP0(X0)
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( sP0(X0)
<=> cUnsatisfiable(X0) ),
inference(definition_folding,[],[f71,f82]) ).
fof(f82,plain,
! [X0] :
( sP0(X0)
<=> ( ! [X2,X3] :
( X2 = X3
| ~ rr(X0,X3)
| ~ rr(X0,X2) )
& ? [X1] :
( rr(X0,X1)
& ca_Vx2(X1) )
& cpxcomp(X0)
& ? [X4] :
( cp(X4)
& rs(X0,X4) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f71,plain,
! [X0] :
( ( ! [X2,X3] :
( X2 = X3
| ~ rr(X0,X3)
| ~ rr(X0,X2) )
& ? [X1] :
( rr(X0,X1)
& ca_Vx2(X1) )
& cpxcomp(X0)
& ? [X4] :
( cp(X4)
& rs(X0,X4) ) )
<=> cUnsatisfiable(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X4] :
( cp(X4)
& rs(X0,X4) )
& cpxcomp(X0)
& ? [X1] :
( rr(X0,X1)
& ca_Vx2(X1) )
& ! [X2,X3] :
( X2 = X3
| ~ rr(X0,X2)
| ~ rr(X0,X3) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X4] :
( cp(X4)
& rs(X0,X4) )
& cpxcomp(X0)
& ? [X1] :
( rr(X0,X1)
& ca_Vx2(X1) )
& ! [X2,X3] :
( ( rr(X0,X2)
& rr(X0,X3) )
=> X2 = X3 ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] :
( ( cpxcomp(X3)
& ? [X6] :
( rr(X3,X6)
& ca_Vx2(X6) )
& ! [X5,X4] :
( ( rr(X3,X4)
& rr(X3,X5) )
=> X4 = X5 )
& ? [X6] :
( rs(X3,X6)
& cp(X6) ) )
<=> cUnsatisfiable(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f140,plain,
! [X0] :
( ~ sP0(X0)
| ca_Vx2(sK5(X0)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ( sP0(X0)
| ( sK4(X0) != sK3(X0)
& rr(X0,sK4(X0))
& rr(X0,sK3(X0)) )
| ! [X3] :
( ~ rr(X0,X3)
| ~ ca_Vx2(X3) )
| ~ cpxcomp(X0)
| ! [X4] :
( ~ cp(X4)
| ~ rs(X0,X4) ) )
& ( ( ! [X5,X6] :
( X5 = X6
| ~ rr(X0,X6)
| ~ rr(X0,X5) )
& rr(X0,sK5(X0))
& ca_Vx2(sK5(X0))
& cpxcomp(X0)
& cp(sK6(X0))
& rs(X0,sK6(X0)) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f105,f108,f107,f106]) ).
fof(f106,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) )
=> ( sK4(X0) != sK3(X0)
& rr(X0,sK4(X0))
& rr(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0] :
( ? [X7] :
( rr(X0,X7)
& ca_Vx2(X7) )
=> ( rr(X0,sK5(X0))
& ca_Vx2(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X0] :
( ? [X8] :
( cp(X8)
& rs(X0,X8) )
=> ( cp(sK6(X0))
& rs(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) )
| ! [X3] :
( ~ rr(X0,X3)
| ~ ca_Vx2(X3) )
| ~ cpxcomp(X0)
| ! [X4] :
( ~ cp(X4)
| ~ rs(X0,X4) ) )
& ( ( ! [X5,X6] :
( X5 = X6
| ~ rr(X0,X6)
| ~ rr(X0,X5) )
& ? [X7] :
( rr(X0,X7)
& ca_Vx2(X7) )
& cpxcomp(X0)
& ? [X8] :
( cp(X8)
& rs(X0,X8) ) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ( sP0(X0)
| ? [X2,X3] :
( X2 != X3
& rr(X0,X3)
& rr(X0,X2) )
| ! [X1] :
( ~ rr(X0,X1)
| ~ ca_Vx2(X1) )
| ~ cpxcomp(X0)
| ! [X4] :
( ~ cp(X4)
| ~ rs(X0,X4) ) )
& ( ( ! [X2,X3] :
( X2 = X3
| ~ rr(X0,X3)
| ~ rr(X0,X2) )
& ? [X1] :
( rr(X0,X1)
& ca_Vx2(X1) )
& cpxcomp(X0)
& ? [X4] :
( cp(X4)
& rs(X0,X4) ) )
| ~ sP0(X0) ) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( sP0(X0)
| ? [X2,X3] :
( X2 != X3
& rr(X0,X3)
& rr(X0,X2) )
| ! [X1] :
( ~ rr(X0,X1)
| ~ ca_Vx2(X1) )
| ~ cpxcomp(X0)
| ! [X4] :
( ~ cp(X4)
| ~ rs(X0,X4) ) )
& ( ( ! [X2,X3] :
( X2 = X3
| ~ rr(X0,X3)
| ~ rr(X0,X2) )
& ? [X1] :
( rr(X0,X1)
& ca_Vx2(X1) )
& cpxcomp(X0)
& ? [X4] :
( cp(X4)
& rs(X0,X4) ) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f240,plain,
~ ca_Vx2(sK5(i2003_11_14_17_21_22376)),
inference(backward_demodulation,[],[f192,f235]) ).
fof(f235,plain,
sK6(i2003_11_14_17_21_22376) = sK5(i2003_11_14_17_21_22376),
inference(subsumption_resolution,[],[f233,f176]) ).
fof(f233,plain,
( sK6(i2003_11_14_17_21_22376) = sK5(i2003_11_14_17_21_22376)
| ~ sP0(i2003_11_14_17_21_22376) ),
inference(resolution,[],[f194,f190]) ).
fof(f190,plain,
rr(i2003_11_14_17_21_22376,sK6(i2003_11_14_17_21_22376)),
inference(resolution,[],[f155,f185]) ).
fof(f185,plain,
rs(i2003_11_14_17_21_22376,sK6(i2003_11_14_17_21_22376)),
inference(resolution,[],[f137,f176]) ).
fof(f137,plain,
! [X0] :
( ~ sP0(X0)
| rs(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f155,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rs(X0,X1) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X1,X0] :
( rr(X1,X0)
| ~ rs(X1,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( rs(X1,X0)
=> rr(X1,X0) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X6,X3] :
( rs(X3,X6)
=> rr(X3,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f194,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| ~ sP0(X0)
| sK5(X0) = X1 ),
inference(duplicate_literal_removal,[],[f193]) ).
fof(f193,plain,
! [X0,X1] :
( ~ sP0(X0)
| ~ sP0(X0)
| sK5(X0) = X1
| ~ rr(X0,X1) ),
inference(resolution,[],[f142,f141]) ).
fof(f141,plain,
! [X0] :
( rr(X0,sK5(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f142,plain,
! [X0,X6,X5] :
( ~ rr(X0,X6)
| ~ rr(X0,X5)
| ~ sP0(X0)
| X5 = X6 ),
inference(cnf_transformation,[],[f109]) ).
fof(f192,plain,
~ ca_Vx2(sK6(i2003_11_14_17_21_22376)),
inference(subsumption_resolution,[],[f191,f184]) ).
fof(f184,plain,
~ cp(i2003_11_14_17_21_22376),
inference(resolution,[],[f182,f178]) ).
fof(f178,plain,
cpxcomp(i2003_11_14_17_21_22376),
inference(resolution,[],[f176,f139]) ).
fof(f139,plain,
! [X0] :
( ~ sP0(X0)
| cpxcomp(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f182,plain,
! [X0] :
( ~ cpxcomp(X0)
| ~ cp(X0) ),
inference(resolution,[],[f119,f152]) ).
fof(f152,plain,
! [X2,X0] :
( ~ ra_Px1(X0,X2)
| ~ cp(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( cp(X0)
| ra_Px1(X0,sK7(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f113,f114]) ).
fof(f114,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK7(X0)) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(rectify,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp(X0) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( cp(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ~ ? [X1] : ra_Px1(X0,X1)
<=> cp(X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3] :
( ~ ? [X6] : ra_Px1(X3,X6)
<=> cp(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f119,plain,
! [X0] :
( ra_Px1(X0,sK1(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( ra_Px1(X0,sK1(X0))
| ~ cpxcomp(X0) )
& ( cpxcomp(X0)
| ! [X2] : ~ ra_Px1(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f85,f86]) ).
fof(f86,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ( ? [X1] : ra_Px1(X0,X1)
| ~ cpxcomp(X0) )
& ( cpxcomp(X0)
| ! [X2] : ~ ra_Px1(X0,X2) ) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( ? [X1] : ra_Px1(X0,X1)
| ~ cpxcomp(X0) )
& ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
<=> cpxcomp(X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3] :
( cpxcomp(X3)
<=> ? [X4] : ra_Px1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f191,plain,
( ~ ca_Vx2(sK6(i2003_11_14_17_21_22376))
| cp(i2003_11_14_17_21_22376) ),
inference(resolution,[],[f123,f186]) ).
fof(f186,plain,
rinvS(sK6(i2003_11_14_17_21_22376),i2003_11_14_17_21_22376),
inference(resolution,[],[f185,f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rinvS(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ( rinvS(X0,X1)
| ~ rs(X1,X0) )
& ( rs(X1,X0)
| ~ rinvS(X0,X1) ) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( ( rinvS(X1,X0)
| ~ rs(X0,X1) )
& ( rs(X0,X1)
| ~ rinvS(X1,X0) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( rinvS(X1,X0)
<=> rs(X0,X1) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X6,X3] :
( rinvS(X3,X6)
<=> rs(X6,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f123,plain,
! [X2,X0] :
( ~ rinvS(X0,X2)
| ~ ca_Vx2(X0)
| cp(X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( ca_Vx2(X0)
| ( ~ cp(sK2(X0))
& rinvS(X0,sK2(X0)) ) )
& ( ! [X2] :
( cp(X2)
| ~ rinvS(X0,X2) )
| ~ ca_Vx2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f92,f93]) ).
fof(f93,plain,
! [X0] :
( ? [X1] :
( ~ cp(X1)
& rinvS(X0,X1) )
=> ( ~ cp(sK2(X0))
& rinvS(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ( ca_Vx2(X0)
| ? [X1] :
( ~ cp(X1)
& rinvS(X0,X1) ) )
& ( ! [X2] :
( cp(X2)
| ~ rinvS(X0,X2) )
| ~ ca_Vx2(X0) ) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ( ca_Vx2(X0)
| ? [X1] :
( ~ cp(X1)
& rinvS(X0,X1) ) )
& ( ! [X1] :
( cp(X1)
| ~ rinvS(X0,X1) )
| ~ ca_Vx2(X0) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ca_Vx2(X0)
<=> ! [X1] :
( cp(X1)
| ~ rinvS(X0,X1) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ca_Vx2(X0)
<=> ! [X1] :
( rinvS(X0,X1)
=> cp(X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3] :
( ca_Vx2(X3)
<=> ! [X6] :
( rinvS(X3,X6)
=> cp(X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS113+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 00:45:20 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.49 % (20906)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (20914)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.51 % (20914)Refutation not found, incomplete strategy% (20914)------------------------------
% 0.20/0.51 % (20914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (20906)First to succeed.
% 0.20/0.51 % (20906)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (20906)------------------------------
% 0.20/0.51 % (20906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (20906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (20906)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (20906)Memory used [KB]: 6012
% 0.20/0.51 % (20906)Time elapsed: 0.060 s
% 0.20/0.51 % (20906)Instructions burned: 4 (million)
% 0.20/0.51 % (20906)------------------------------
% 0.20/0.51 % (20906)------------------------------
% 0.20/0.51 % (20890)Success in time 0.154 s
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