TSTP Solution File: SWC209+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC209+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 : n029.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 18:42:24 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 7 unt; 0 def)
% Number of atoms : 185 ( 61 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 193 ( 39 ~; 39 |; 100 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 32 ( 8 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f642,plain,
$false,
inference(avatar_sat_refutation,[],[f629,f630,f632,f641]) ).
fof(f641,plain,
( ~ spl57_2
| ~ spl57_6
| spl57_7 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f640,plain,
( $false
| ~ spl57_2
| ~ spl57_6
| spl57_7 ),
inference(resolution,[],[f638,f635]) ).
fof(f635,plain,
( neq(nil,nil)
| ~ spl57_6 ),
inference(backward_demodulation,[],[f501,f624]) ).
fof(f624,plain,
( nil = sK46
| ~ spl57_6 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f622,plain,
( spl57_6
<=> nil = sK46 ),
introduced(avatar_definition,[new_symbols(naming,[spl57_6])]) ).
fof(f501,plain,
neq(sK46,nil),
inference(cnf_transformation,[],[f321]) ).
fof(f321,plain,
( ssList(sK46)
& ssList(sK47)
& sK48 = sK46
& ~ neq(sK45,nil)
& ( ( neq(sK47,nil)
& segmentP(sK48,sK47) )
| ( nil = sK48
& nil = sK47 ) )
& neq(sK46,nil)
& sK45 = sK47
& ssList(sK48)
& ssList(sK45) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45,sK46,sK47,sK48])],[f106,f320,f319,f318,f317]) ).
fof(f317,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ~ neq(X0,nil)
& ( ( neq(X2,nil)
& segmentP(X3,X2) )
| ( nil = X3
& nil = X2 ) )
& neq(X1,nil)
& X0 = X2
& ssList(X3) ) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ~ neq(sK45,nil)
& ( ( neq(X2,nil)
& segmentP(X3,X2) )
| ( nil = X3
& nil = X2 ) )
& neq(X1,nil)
& sK45 = X2
& ssList(X3) ) ) )
& ssList(sK45) ) ),
introduced(choice_axiom,[]) ).
fof(f318,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ~ neq(sK45,nil)
& ( ( neq(X2,nil)
& segmentP(X3,X2) )
| ( nil = X3
& nil = X2 ) )
& neq(X1,nil)
& sK45 = X2
& ssList(X3) ) ) )
=> ( ssList(sK46)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( sK46 = X3
& ~ neq(sK45,nil)
& ( ( neq(X2,nil)
& segmentP(X3,X2) )
| ( nil = X3
& nil = X2 ) )
& neq(sK46,nil)
& sK45 = X2
& ssList(X3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f319,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK46 = X3
& ~ neq(sK45,nil)
& ( ( neq(X2,nil)
& segmentP(X3,X2) )
| ( nil = X3
& nil = X2 ) )
& neq(sK46,nil)
& sK45 = X2
& ssList(X3) ) )
=> ( ssList(sK47)
& ? [X3] :
( sK46 = X3
& ~ neq(sK45,nil)
& ( ( neq(sK47,nil)
& segmentP(X3,sK47) )
| ( nil = X3
& nil = sK47 ) )
& neq(sK46,nil)
& sK45 = sK47
& ssList(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f320,plain,
( ? [X3] :
( sK46 = X3
& ~ neq(sK45,nil)
& ( ( neq(sK47,nil)
& segmentP(X3,sK47) )
| ( nil = X3
& nil = sK47 ) )
& neq(sK46,nil)
& sK45 = sK47
& ssList(X3) )
=> ( sK48 = sK46
& ~ neq(sK45,nil)
& ( ( neq(sK47,nil)
& segmentP(sK48,sK47) )
| ( nil = sK48
& nil = sK47 ) )
& neq(sK46,nil)
& sK45 = sK47
& ssList(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ~ neq(X0,nil)
& ( ( neq(X2,nil)
& segmentP(X3,X2) )
| ( nil = X3
& nil = X2 ) )
& neq(X1,nil)
& X0 = X2
& ssList(X3) ) ) )
& ssList(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( neq(X2,nil)
& segmentP(X3,X2) )
| ( nil = X3
& nil = X2 ) )
& X1 = X3
& neq(X1,nil)
& X0 = X2
& ~ neq(X0,nil)
& 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)
=> ( ( ( ~ segmentP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X3
| nil != X2 ) )
| X1 != X3
| ~ neq(X1,nil)
| X0 != X2
| neq(X0,nil) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ~ segmentP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X3
| nil != X2 ) )
| X1 != X3
| ~ neq(X1,nil)
| X0 != X2
| neq(X0,nil) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f638,plain,
( ~ neq(nil,nil)
| ~ spl57_2
| spl57_7 ),
inference(backward_demodulation,[],[f627,f606]) ).
fof(f606,plain,
( nil = sK47
| ~ spl57_2 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f604,plain,
( spl57_2
<=> nil = sK47 ),
introduced(avatar_definition,[new_symbols(naming,[spl57_2])]) ).
fof(f627,plain,
( ~ neq(sK47,nil)
| spl57_7 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f626,plain,
( spl57_7
<=> neq(sK47,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_7])]) ).
fof(f632,plain,
~ spl57_7,
inference(avatar_split_clause,[],[f559,f626]) ).
fof(f559,plain,
~ neq(sK47,nil),
inference(definition_unfolding,[],[f506,f500]) ).
fof(f500,plain,
sK45 = sK47,
inference(cnf_transformation,[],[f321]) ).
fof(f506,plain,
~ neq(sK45,nil),
inference(cnf_transformation,[],[f321]) ).
fof(f630,plain,
( spl57_2
| spl57_7 ),
inference(avatar_split_clause,[],[f504,f626,f604]) ).
fof(f504,plain,
( neq(sK47,nil)
| nil = sK47 ),
inference(cnf_transformation,[],[f321]) ).
fof(f629,plain,
( spl57_6
| spl57_7 ),
inference(avatar_split_clause,[],[f560,f626,f622]) ).
fof(f560,plain,
( neq(sK47,nil)
| nil = sK46 ),
inference(definition_unfolding,[],[f505,f507]) ).
fof(f507,plain,
sK48 = sK46,
inference(cnf_transformation,[],[f321]) ).
fof(f505,plain,
( neq(sK47,nil)
| nil = sK48 ),
inference(cnf_transformation,[],[f321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC209+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.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 18:44:27 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (8983)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (8999)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)
% 0.20/0.51 % (8979)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)
% 0.20/0.52 % (8991)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (8977)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (8980)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (8981)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 % (8982)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 % (8983)First to succeed.
% 0.20/0.53 % (8988)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)
% 0.20/0.54 % (8992)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 % (8996)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 % (8985)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (8995)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 % (8976)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 % (9001)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (8973)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)
% 0.20/0.54 % (8974)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)
% 0.20/0.54 % (8975)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 % (8984)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)
% 0.20/0.54 % (8981)Instruction limit reached!
% 0.20/0.54 % (8981)------------------------------
% 0.20/0.54 % (8981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (8981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (8981)Termination reason: Unknown
% 0.20/0.54 % (8981)Termination phase: Unused predicate definition removal
% 0.20/0.54
% 0.20/0.54 % (8981)Memory used [KB]: 1023
% 0.20/0.54 % (8981)Time elapsed: 0.003 s
% 0.20/0.54 % (8981)Instructions burned: 2 (million)
% 0.20/0.54 % (8981)------------------------------
% 0.20/0.54 % (8981)------------------------------
% 0.20/0.54 % (8980)Instruction limit reached!
% 0.20/0.54 % (8980)------------------------------
% 0.20/0.54 % (8980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (8980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (8980)Termination reason: Unknown
% 0.20/0.54 % (8980)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (8980)Memory used [KB]: 1279
% 0.20/0.54 % (8980)Time elapsed: 0.004 s
% 0.20/0.54 % (8980)Instructions burned: 7 (million)
% 0.20/0.54 % (8980)------------------------------
% 0.20/0.54 % (8980)------------------------------
% 0.20/0.55 % (8987)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)
% 0.20/0.55 % (8997)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (8983)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (8983)------------------------------
% 0.20/0.55 % (8983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (8983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (8983)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (8983)Memory used [KB]: 5884
% 0.20/0.55 % (8983)Time elapsed: 0.113 s
% 0.20/0.55 % (8983)Instructions burned: 15 (million)
% 0.20/0.55 % (8983)------------------------------
% 0.20/0.55 % (8983)------------------------------
% 0.20/0.55 % (8972)Success in time 0.184 s
%------------------------------------------------------------------------------