TSTP Solution File: SWC408+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC408+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 : n009.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 18:43:41 EDT 2022
% Result : Theorem 1.44s 0.55s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 185 ( 47 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 200 ( 49 ~; 36 |; 95 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 63 ( 28 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1368,plain,
$false,
inference(subsumption_resolution,[],[f1367,f543]) ).
fof(f543,plain,
~ memberP(sK53,sK57),
inference(cnf_transformation,[],[f346]) ).
fof(f346,plain,
( ssList(sK55)
& memberP(sK54,sK57)
& ~ memberP(sK53,sK57)
& ssItem(sK57)
& ssList(sK56)
& sK55 = app(sK56,sK56)
& sK54 = sK56
& sK55 = sK53
& ssList(sK54)
& ssList(sK53) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57])],[f173,f345,f344,f343,f342,f341]) ).
fof(f341,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( memberP(X1,X4)
& ~ memberP(X0,X4)
& ssItem(X4) )
& ssList(X3)
& app(X3,X3) = X2
& X1 = X3
& X0 = X2 ) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( memberP(X1,X4)
& ~ memberP(sK53,X4)
& ssItem(X4) )
& ssList(X3)
& app(X3,X3) = X2
& X1 = X3
& sK53 = X2 ) )
& ssList(X1) )
& ssList(sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f342,plain,
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( memberP(X1,X4)
& ~ memberP(sK53,X4)
& ssItem(X4) )
& ssList(X3)
& app(X3,X3) = X2
& X1 = X3
& sK53 = X2 ) )
& ssList(X1) )
=> ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( memberP(sK54,X4)
& ~ memberP(sK53,X4)
& ssItem(X4) )
& ssList(X3)
& app(X3,X3) = X2
& sK54 = X3
& sK53 = X2 ) )
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( memberP(sK54,X4)
& ~ memberP(sK53,X4)
& ssItem(X4) )
& ssList(X3)
& app(X3,X3) = X2
& sK54 = X3
& sK53 = X2 ) )
=> ( ssList(sK55)
& ? [X3] :
( ? [X4] :
( memberP(sK54,X4)
& ~ memberP(sK53,X4)
& ssItem(X4) )
& ssList(X3)
& app(X3,X3) = sK55
& sK54 = X3
& sK55 = sK53 ) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
( ? [X3] :
( ? [X4] :
( memberP(sK54,X4)
& ~ memberP(sK53,X4)
& ssItem(X4) )
& ssList(X3)
& app(X3,X3) = sK55
& sK54 = X3
& sK55 = sK53 )
=> ( ? [X4] :
( memberP(sK54,X4)
& ~ memberP(sK53,X4)
& ssItem(X4) )
& ssList(sK56)
& sK55 = app(sK56,sK56)
& sK54 = sK56
& sK55 = sK53 ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
( ? [X4] :
( memberP(sK54,X4)
& ~ memberP(sK53,X4)
& ssItem(X4) )
=> ( memberP(sK54,sK57)
& ~ memberP(sK53,sK57)
& ssItem(sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( memberP(X1,X4)
& ~ memberP(X0,X4)
& ssItem(X4) )
& ssList(X3)
& app(X3,X3) = X2
& X1 = X3
& X0 = X2 ) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& app(X3,X3) = X2
& ? [X4] :
( ~ memberP(X0,X4)
& memberP(X1,X4)
& ssItem(X4) )
& 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)
=> ( X1 != X3
| X0 != X2
| app(X3,X3) != X2
| ! [X4] :
( ssItem(X4)
=> ( memberP(X0,X4)
| ~ memberP(X1,X4) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| app(X3,X3) != X2
| ! [X4] :
( ssItem(X4)
=> ( memberP(X0,X4)
| ~ memberP(X1,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1367,plain,
memberP(sK53,sK57),
inference(subsumption_resolution,[],[f1364,f597]) ).
fof(f597,plain,
ssList(sK54),
inference(backward_demodulation,[],[f541,f539]) ).
fof(f539,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f346]) ).
fof(f541,plain,
ssList(sK56),
inference(cnf_transformation,[],[f346]) ).
fof(f1364,plain,
( ~ ssList(sK54)
| memberP(sK53,sK57) ),
inference(superposition,[],[f1346,f598]) ).
fof(f598,plain,
sK53 = app(sK54,sK54),
inference(backward_demodulation,[],[f595,f539]) ).
fof(f595,plain,
sK53 = app(sK56,sK56),
inference(backward_demodulation,[],[f594,f538]) ).
fof(f538,plain,
sK55 = sK53,
inference(cnf_transformation,[],[f346]) ).
fof(f594,plain,
sK55 = app(sK56,sK56),
inference(forward_demodulation,[],[f585,f586]) ).
fof(f586,plain,
sK55 = sF58,
inference(definition_folding,[],[f540,f585]) ).
fof(f540,plain,
sK55 = app(sK56,sK56),
inference(cnf_transformation,[],[f346]) ).
fof(f585,plain,
sF58 = app(sK56,sK56),
introduced(function_definition,[]) ).
fof(f1346,plain,
! [X0] :
( memberP(app(X0,sK54),sK57)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1345,f542]) ).
fof(f542,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f346]) ).
fof(f1345,plain,
! [X0] :
( memberP(app(X0,sK54),sK57)
| ~ ssList(X0)
| ~ ssItem(sK57) ),
inference(subsumption_resolution,[],[f1340,f597]) ).
fof(f1340,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(sK54)
| memberP(app(X0,sK54),sK57)
| ~ ssItem(sK57) ),
inference(resolution,[],[f533,f544]) ).
fof(f544,plain,
memberP(sK54,sK57),
inference(cnf_transformation,[],[f346]) ).
fof(f533,plain,
! [X2,X0,X1] :
( ~ memberP(X2,X0)
| ~ ssItem(X0)
| memberP(app(X1,X2),X0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f340]) ).
fof(f340,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ( ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) )
& ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) ) )
| ~ ssList(X2) ) ) ),
inference(flattening,[],[f339]) ).
fof(f339,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ( ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) )
& ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) ) )
| ~ ssList(X2) ) ) ),
inference(nnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ( ( memberP(X1,X0)
| memberP(X2,X0) )
<=> memberP(app(X1,X2),X0) )
| ~ ssList(X2) ) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( memberP(X1,X0)
| memberP(X2,X0) )
<=> memberP(app(X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC408+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:51:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 % (32722)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)
% 0.20/0.46 % (32707)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.47 % (32714)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)
% 0.20/0.47 % (32715)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)
% 0.20/0.48 % (32706)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)
% 0.20/0.49 % (32707)Instruction limit reached!
% 0.20/0.49 % (32707)------------------------------
% 0.20/0.49 % (32707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (32707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (32707)Termination reason: Unknown
% 0.20/0.49 % (32707)Termination phase: Property scanning
% 0.20/0.49
% 0.20/0.49 % (32707)Memory used [KB]: 1279
% 0.20/0.49 % (32707)Time elapsed: 0.006 s
% 0.20/0.49 % (32707)Instructions burned: 7 (million)
% 0.20/0.49 % (32707)------------------------------
% 0.20/0.49 % (32707)------------------------------
% 0.20/0.50 % (32723)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)
% 0.20/0.51 % (32712)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (32710)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (32708)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 % (32708)Instruction limit reached!
% 0.20/0.52 % (32708)------------------------------
% 0.20/0.52 % (32708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (32708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (32708)Termination reason: Unknown
% 0.20/0.52 % (32708)Termination phase: Preprocessing 2
% 0.20/0.52
% 0.20/0.52 % (32708)Memory used [KB]: 1023
% 0.20/0.52 % (32708)Time elapsed: 0.002 s
% 0.20/0.52 % (32708)Instructions burned: 2 (million)
% 0.20/0.52 % (32708)------------------------------
% 0.20/0.52 % (32708)------------------------------
% 0.20/0.53 % (32702)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)
% 0.20/0.53 % (32704)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (32701)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)
% 0.20/0.53 % (32703)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)
% 0.20/0.53 % (32705)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)
% 0.20/0.53 % (32709)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)
% 0.20/0.53 % (32711)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)
% 0.20/0.53 % (32713)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (32726)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)
% 0.20/0.54 TRYING [1]
% 1.44/0.54 TRYING [2]
% 1.44/0.54 % (32728)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.44/0.54 % (32715)First to succeed.
% 1.44/0.54 % (32717)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.44/0.54 % (32727)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.44/0.54 % (32729)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)
% 1.44/0.54 % (32718)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.55 % (32700)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)
% 1.44/0.55 % (32715)Refutation found. Thanks to Tanya!
% 1.44/0.55 % SZS status Theorem for theBenchmark
% 1.44/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.55 % (32715)------------------------------
% 1.44/0.55 % (32715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (32715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55 % (32715)Termination reason: Refutation
% 1.44/0.55
% 1.44/0.55 % (32715)Memory used [KB]: 2174
% 1.44/0.55 % (32715)Time elapsed: 0.132 s
% 1.44/0.55 % (32715)Instructions burned: 59 (million)
% 1.44/0.55 % (32715)------------------------------
% 1.44/0.55 % (32715)------------------------------
% 1.44/0.55 % (32699)Success in time 0.195 s
%------------------------------------------------------------------------------