TSTP Solution File: SWC130+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC130+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n011.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 18:41:55 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 128 ( 35 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 144 ( 44 ~; 18 |; 66 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 40 ( 16 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f782,plain,
$false,
inference(subsumption_resolution,[],[f775,f400]) ).
fof(f400,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
fof(f775,plain,
~ cyclefreeP(nil),
inference(backward_demodulation,[],[f467,f774]) ).
fof(f774,plain,
nil = sK35,
inference(subsumption_resolution,[],[f773,f366]) ).
fof(f366,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f773,plain,
( nil = sK35
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f768,f590]) ).
fof(f590,plain,
ssList(sK35),
inference(forward_demodulation,[],[f466,f470]) ).
fof(f470,plain,
sK37 = sK35,
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
( sK37 = sK35
& ~ neq(sK37,nil)
& sK36 = sK34
& ~ cyclefreeP(sK35)
& ssList(sK37)
& ssList(sK36)
& ssList(sK35)
& ssList(sK34) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35,sK36,sK37])],[f160,f297,f296,f295,f294]) ).
fof(f294,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& ~ neq(X3,nil)
& X0 = X2
& ~ cyclefreeP(X1)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& ~ neq(X3,nil)
& sK34 = X2
& ~ cyclefreeP(X1)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f295,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& ~ neq(X3,nil)
& sK34 = X2
& ~ cyclefreeP(X1)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( sK35 = X3
& ~ neq(X3,nil)
& sK34 = X2
& ~ cyclefreeP(sK35)
& ssList(X3) )
& ssList(X2) )
& ssList(sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f296,plain,
( ? [X2] :
( ? [X3] :
( sK35 = X3
& ~ neq(X3,nil)
& sK34 = X2
& ~ cyclefreeP(sK35)
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( sK35 = X3
& ~ neq(X3,nil)
& sK36 = sK34
& ~ cyclefreeP(sK35)
& ssList(X3) )
& ssList(sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f297,plain,
( ? [X3] :
( sK35 = X3
& ~ neq(X3,nil)
& sK36 = sK34
& ~ cyclefreeP(sK35)
& ssList(X3) )
=> ( sK37 = sK35
& ~ neq(sK37,nil)
& sK36 = sK34
& ~ cyclefreeP(sK35)
& ssList(sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& ~ neq(X3,nil)
& X0 = X2
& ~ cyclefreeP(X1)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& ~ neq(X3,nil)
& ~ cyclefreeP(X1)
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| neq(X3,nil)
| cyclefreeP(X1)
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| neq(X3,nil)
| cyclefreeP(X1)
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f466,plain,
ssList(sK37),
inference(cnf_transformation,[],[f298]) ).
fof(f768,plain,
( ~ ssList(sK35)
| nil = sK35
| ~ ssList(nil) ),
inference(resolution,[],[f446,f592]) ).
fof(f592,plain,
~ neq(sK35,nil),
inference(forward_demodulation,[],[f469,f470]) ).
fof(f469,plain,
~ neq(sK37,nil),
inference(cnf_transformation,[],[f298]) ).
fof(f446,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( X0 != X1
<=> neq(X0,X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( X0 != X1
<=> neq(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f467,plain,
~ cyclefreeP(sK35),
inference(cnf_transformation,[],[f298]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC130+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 18:18:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.51 % (30853)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (30861)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 % (30845)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (30837)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52 % (30845)Instruction limit reached!
% 0.20/0.52 % (30845)------------------------------
% 0.20/0.52 % (30845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (30845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (30845)Termination reason: Unknown
% 0.20/0.52 % (30845)Termination phase: Preprocessing 2
% 0.20/0.52
% 0.20/0.52 % (30845)Memory used [KB]: 1023
% 0.20/0.52 % (30845)Time elapsed: 0.003 s
% 0.20/0.52 % (30845)Instructions burned: 2 (million)
% 0.20/0.52 % (30845)------------------------------
% 0.20/0.52 % (30845)------------------------------
% 0.20/0.52 % (30843)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (30851)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (30863)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (30852)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.53 % (30865)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (30844)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (30859)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.54 % (30862)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (30844)Instruction limit reached!
% 0.20/0.54 % (30844)------------------------------
% 0.20/0.54 % (30844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (30846)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (30847)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (30842)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54 % (30857)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54 % (30856)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (30854)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (30860)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.54 % (30839)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54 % (30840)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (30844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (30844)Termination reason: Unknown
% 0.20/0.54 % (30844)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (30844)Memory used [KB]: 1279
% 0.20/0.54 % (30844)Time elapsed: 0.005 s
% 0.20/0.54 % (30844)Instructions burned: 7 (million)
% 0.20/0.54 % (30844)------------------------------
% 0.20/0.54 % (30844)------------------------------
% 0.20/0.55 % (30849)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (30866)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55 % (30841)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (30850)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (30855)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (30838)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (30848)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.56 % (30858)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56 TRYING [2]
% 0.20/0.56 % (30852)First to succeed.
% 0.20/0.57 % (30852)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (30852)------------------------------
% 0.20/0.57 % (30852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (30852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (30852)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (30852)Memory used [KB]: 1663
% 0.20/0.57 % (30852)Time elapsed: 0.152 s
% 0.20/0.57 % (30852)Instructions burned: 28 (million)
% 0.20/0.57 % (30852)------------------------------
% 0.20/0.57 % (30852)------------------------------
% 0.20/0.57 % (30836)Success in time 0.213 s
%------------------------------------------------------------------------------