TSTP Solution File: KRS073+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS073+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 : n020.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 17:29:36 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 50 ( 13 unt; 0 def)
% Number of atoms : 185 ( 7 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 206 ( 71 ~; 60 |; 54 &)
% ( 9 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 111 ( 89 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f227,plain,
$false,
inference(subsumption_resolution,[],[f224,f199]) ).
fof(f199,plain,
~ rinvS(sK3(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369),
inference(unit_resulting_resolution,[],[f194,f193,f136]) ).
fof(f136,plain,
! [X0,X8] :
( ~ rinvS(sK3(X0),X8)
| ~ sP0(X0)
| cp(X8) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ( ! [X3] :
( ~ cp(X3)
| ~ rs(sK1(X1),X3) )
& rinvF(X1,sK1(X1)) )
| ( rinvS(X1,sK2(X1))
& ~ cp(sK2(X1)) ) ) )
& ( ( rf(X0,sK3(X0))
& ! [X6] :
( ( cp(sK4(X6))
& rs(X6,sK4(X6)) )
| ~ rinvF(sK3(X0),X6) )
& ! [X8] :
( ~ rinvS(sK3(X0),X8)
| cp(X8) ) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f107,f111,f110,f109,f108]) ).
fof(f108,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ cp(X3)
| ~ rs(X2,X3) )
& rinvF(X1,X2) )
=> ( ! [X3] :
( ~ cp(X3)
| ~ rs(sK1(X1),X3) )
& rinvF(X1,sK1(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X1] :
( ? [X4] :
( rinvS(X1,X4)
& ~ cp(X4) )
=> ( rinvS(X1,sK2(X1))
& ~ cp(sK2(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0] :
( ? [X5] :
( rf(X0,X5)
& ! [X6] :
( ? [X7] :
( cp(X7)
& rs(X6,X7) )
| ~ rinvF(X5,X6) )
& ! [X8] :
( ~ rinvS(X5,X8)
| cp(X8) ) )
=> ( rf(X0,sK3(X0))
& ! [X6] :
( ? [X7] :
( cp(X7)
& rs(X6,X7) )
| ~ rinvF(sK3(X0),X6) )
& ! [X8] :
( ~ rinvS(sK3(X0),X8)
| cp(X8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X6] :
( ? [X7] :
( cp(X7)
& rs(X6,X7) )
=> ( cp(sK4(X6))
& rs(X6,sK4(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ? [X2] :
( ! [X3] :
( ~ cp(X3)
| ~ rs(X2,X3) )
& rinvF(X1,X2) )
| ? [X4] :
( rinvS(X1,X4)
& ~ cp(X4) ) ) )
& ( ? [X5] :
( rf(X0,X5)
& ! [X6] :
( ? [X7] :
( cp(X7)
& rs(X6,X7) )
| ~ rinvF(X5,X6) )
& ! [X8] :
( ~ rinvS(X5,X8)
| cp(X8) ) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ? [X2] :
( ! [X3] :
( ~ cp(X3)
| ~ rs(X2,X3) )
& rinvF(X1,X2) )
| ? [X4] :
( rinvS(X1,X4)
& ~ cp(X4) ) ) )
& ( ? [X1] :
( rf(X0,X1)
& ! [X2] :
( ? [X3] :
( cp(X3)
& rs(X2,X3) )
| ~ rinvF(X1,X2) )
& ! [X4] :
( ~ rinvS(X1,X4)
| cp(X4) ) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( sP0(X0)
<=> ? [X1] :
( rf(X0,X1)
& ! [X2] :
( ? [X3] :
( cp(X3)
& rs(X2,X3) )
| ~ rinvF(X1,X2) )
& ! [X4] :
( ~ rinvS(X1,X4)
| cp(X4) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f193,plain,
sP0(i2003_11_14_17_18_54369),
inference(unit_resulting_resolution,[],[f174,f145]) ).
fof(f145,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( ( ~ cp(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| cp(X0)
| ~ sP0(X0) ) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ( ( ~ cp(X0)
& sP0(X0) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| cp(X0)
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( ~ cp(X0)
& sP0(X0) )
<=> cUnsatisfiable(X0) ),
inference(definition_folding,[],[f66,f99]) ).
fof(f66,plain,
! [X0] :
( ( ~ cp(X0)
& ? [X1] :
( rf(X0,X1)
& ! [X2] :
( ? [X3] :
( cp(X3)
& rs(X2,X3) )
| ~ rinvF(X1,X2) )
& ! [X4] :
( ~ rinvS(X1,X4)
| cp(X4) ) ) )
<=> cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( ~ cp(X0)
& ? [X1] :
( ! [X2] :
( rinvF(X1,X2)
=> ? [X3] :
( cp(X3)
& rs(X2,X3) ) )
& ! [X4] :
( rinvS(X1,X4)
=> cp(X4) )
& rf(X0,X1) ) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3] :
( ( ~ cp(X3)
& ? [X4] :
( rf(X3,X4)
& ! [X5] :
( rinvF(X4,X5)
=> ? [X6] :
( cp(X6)
& rs(X5,X6) ) )
& ! [X5] :
( rinvS(X4,X5)
=> cp(X5) ) ) )
<=> cUnsatisfiable(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f174,plain,
cUnsatisfiable(i2003_11_14_17_18_54369),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
cUnsatisfiable(i2003_11_14_17_18_54369),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f194,plain,
~ cp(i2003_11_14_17_18_54369),
inference(unit_resulting_resolution,[],[f174,f146]) ).
fof(f146,plain,
! [X0] :
( ~ cp(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f224,plain,
rinvS(sK3(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369),
inference(backward_demodulation,[],[f209,f217]) ).
fof(f217,plain,
sK4(i2003_11_14_17_18_54369) = sK3(i2003_11_14_17_18_54369),
inference(unit_resulting_resolution,[],[f195,f210,f171]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| X1 = X2
| ~ rf(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ rf(X2,X1)
| ~ rf(X2,X0)
| X0 = X1 ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X1,X0,X2] :
( X0 = X1
| ~ rf(X2,X0)
| ~ rf(X2,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X1,X0,X2] :
( ( rf(X2,X0)
& rf(X2,X1) )
=> X0 = X1 ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X5,X4,X3] :
( ( rf(X3,X4)
& rf(X3,X5) )
=> X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f210,plain,
rf(i2003_11_14_17_18_54369,sK4(i2003_11_14_17_18_54369)),
inference(unit_resulting_resolution,[],[f205,f151]) ).
fof(f151,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rf(X1,X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
( rs(X1,X0)
=> rf(X1,X0) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X4,X3] :
( rs(X3,X4)
=> rf(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f205,plain,
rs(i2003_11_14_17_18_54369,sK4(i2003_11_14_17_18_54369)),
inference(unit_resulting_resolution,[],[f193,f197,f137]) ).
fof(f137,plain,
! [X0,X6] :
( ~ rinvF(sK3(X0),X6)
| ~ sP0(X0)
| rs(X6,sK4(X6)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f197,plain,
rinvF(sK3(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369),
inference(unit_resulting_resolution,[],[f195,f172]) ).
fof(f172,plain,
! [X0,X1] :
( ~ rf(X1,X0)
| rinvF(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ( rf(X1,X0)
| ~ rinvF(X0,X1) )
& ( rinvF(X0,X1)
| ~ rf(X1,X0) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( rf(X1,X0)
<=> rinvF(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3,X4] :
( rinvF(X3,X4)
<=> rf(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f195,plain,
rf(i2003_11_14_17_18_54369,sK3(i2003_11_14_17_18_54369)),
inference(unit_resulting_resolution,[],[f193,f139]) ).
fof(f139,plain,
! [X0] :
( rf(X0,sK3(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f209,plain,
rinvS(sK4(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369),
inference(unit_resulting_resolution,[],[f205,f162]) ).
fof(f162,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rinvS(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ( rinvS(X0,X1)
| ~ rs(X1,X0) )
& ( rs(X1,X0)
| ~ rinvS(X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( rinvS(X0,X1)
<=> rs(X1,X0) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X3,X4] :
( rinvS(X3,X4)
<=> rs(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS073+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.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 : Tue Aug 30 00:34:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (2649)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.51 % (2627)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51 % (2631)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51 % (2631)Refutation not found, incomplete strategy% (2631)------------------------------
% 0.20/0.51 % (2631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (2631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (2631)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (2631)Memory used [KB]: 5884
% 0.20/0.51 % (2631)Time elapsed: 0.002 s
% 0.20/0.51 % (2631)Instructions burned: 1 (million)
% 0.20/0.51 % (2631)------------------------------
% 0.20/0.51 % (2631)------------------------------
% 0.20/0.51 % (2639)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (2635)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.51 % (2635)Refutation not found, incomplete strategy% (2635)------------------------------
% 0.20/0.51 % (2635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (2635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (2635)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (2635)Memory used [KB]: 5884
% 0.20/0.51 % (2635)Time elapsed: 0.002 s
% 0.20/0.51 % (2635)Instructions burned: 1 (million)
% 0.20/0.51 % (2635)------------------------------
% 0.20/0.51 % (2635)------------------------------
% 0.20/0.52 % (2628)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (2632)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52 % (2628)Refutation not found, incomplete strategy% (2628)------------------------------
% 0.20/0.52 % (2628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (2628)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (2628)Memory used [KB]: 5884
% 0.20/0.52 % (2628)Time elapsed: 0.002 s
% 0.20/0.52 % (2628)------------------------------
% 0.20/0.52 % (2628)------------------------------
% 0.20/0.52 % (2632)Refutation not found, incomplete strategy% (2632)------------------------------
% 0.20/0.52 % (2632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2653)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)
% 0.20/0.52 % (2649)Refutation not found, incomplete strategy% (2649)------------------------------
% 0.20/0.52 % (2649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (2649)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (2649)Memory used [KB]: 5884
% 0.20/0.52 % (2649)Time elapsed: 0.002 s
% 0.20/0.52 % (2649)Instructions burned: 1 (million)
% 0.20/0.52 % (2649)------------------------------
% 0.20/0.52 % (2649)------------------------------
% 0.20/0.52 % (2646)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (2632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (2632)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (2632)Memory used [KB]: 1535
% 0.20/0.52 % (2632)Time elapsed: 0.004 s
% 0.20/0.52 % (2632)Instructions burned: 2 (million)
% 0.20/0.52 % (2632)------------------------------
% 0.20/0.52 % (2632)------------------------------
% 0.20/0.52 % (2659)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.52 % (2659)Refutation not found, incomplete strategy% (2659)------------------------------
% 0.20/0.52 % (2659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (2659)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (2659)Memory used [KB]: 5884
% 0.20/0.52 % (2659)Time elapsed: 0.001 s
% 0.20/0.52 % (2659)------------------------------
% 0.20/0.52 % (2659)------------------------------
% 0.20/0.52 % (2639)First to succeed.
% 0.20/0.52 % (2647)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (2647)Instruction limit reached!
% 0.20/0.52 % (2647)------------------------------
% 0.20/0.52 % (2647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2639)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (2639)------------------------------
% 0.20/0.52 % (2639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (2639)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (2639)Memory used [KB]: 6012
% 0.20/0.52 % (2639)Time elapsed: 0.120 s
% 0.20/0.52 % (2639)Instructions burned: 3 (million)
% 0.20/0.52 % (2639)------------------------------
% 0.20/0.52 % (2639)------------------------------
% 0.20/0.52 % (2623)Success in time 0.165 s
%------------------------------------------------------------------------------