TSTP Solution File: SWC219-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC219-1 : 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_uns --cores 0 -t %d %s
% Computer : n014.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 18:39:41 EDT 2022
% Result : Unsatisfiable 0.21s 0.63s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 44 ( 7 unt; 0 def)
% Number of atoms : 155 ( 27 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 221 ( 110 ~; 108 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f652,plain,
$false,
inference(avatar_sat_refutation,[],[f242,f244,f251,f651]) ).
fof(f651,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f650,plain,
( $false
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f649,f564]) ).
fof(f564,plain,
( ssItem(sk5(nil,nil,sk6))
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f563,f188]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f563,plain,
( ~ ssList(sk3)
| ssItem(sk5(nil,nil,sk6))
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f561,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f561,plain,
( ssItem(sk5(nil,nil,sk6))
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f560]) ).
fof(f560,plain,
( sk3 != sk3
| ~ ssList(nil)
| ~ ssList(sk3)
| ssItem(sk5(nil,nil,sk6))
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f554,f73]) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f554,plain,
( ! [X0] :
( sk3 != app(sk3,X0)
| ~ ssList(X0)
| ssItem(sk5(X0,nil,sk6)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f553,f8]) ).
fof(f553,plain,
( ! [X0] :
( ssItem(sk5(X0,nil,sk6))
| ~ ssList(X0)
| sk3 != app(sk3,X0)
| ~ ssList(nil) )
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f540,f188]) ).
fof(f540,plain,
( ! [X0] :
( ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(nil)
| ssItem(sk5(X0,nil,sk6))
| sk3 != app(sk3,X0) )
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f329,f74]) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f329,plain,
( ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| ~ ssList(X1)
| ssItem(sk5(X1,X0,sk6))
| ~ ssList(X0) )
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f320,f248]) ).
fof(f248,plain,
( ssItem(sk6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl0_6
<=> ssItem(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f320,plain,
( ! [X0,X1] :
( ssItem(sk5(X1,X0,sk6))
| ~ ssList(X0)
| sk3 != app(app(X0,sk3),X1)
| ~ ssItem(sk6)
| ~ ssList(X1) )
| ~ spl0_5 ),
inference(superposition,[],[f209,f241]) ).
fof(f241,plain,
( sk3 = cons(sk6,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl0_5
<=> sk3 = cons(sk6,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f209,plain,
! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| ssItem(sk5(X8,X7,X6))
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssList(X8) ),
inference(definition_unfolding,[],[f193,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f193,axiom,
! [X8,X6,X7] :
( ssItem(sk5(X8,X7,X6))
| ~ ssList(X7)
| ~ ssList(X8)
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f649,plain,
( ~ ssItem(sk5(nil,nil,sk6))
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f629,f71]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f629,plain,
( memberP(nil,sk5(nil,nil,sk6))
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f628,f188]) ).
fof(f628,plain,
( ~ ssList(sk3)
| memberP(nil,sk5(nil,nil,sk6))
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f627,f8]) ).
fof(f627,plain,
( memberP(nil,sk5(nil,nil,sk6))
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f625]) ).
fof(f625,plain,
( sk3 != sk3
| ~ ssList(nil)
| memberP(nil,sk5(nil,nil,sk6))
| ~ ssList(sk3)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f617,f73]) ).
fof(f617,plain,
( ! [X0] :
( sk3 != app(sk3,X0)
| ~ ssList(X0)
| memberP(nil,sk5(X0,nil,sk6)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f616,f188]) ).
fof(f616,plain,
( ! [X0] :
( ~ ssList(sk3)
| memberP(nil,sk5(X0,nil,sk6))
| ~ ssList(X0)
| sk3 != app(sk3,X0) )
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f605,f8]) ).
fof(f605,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sk3)
| sk3 != app(sk3,X0)
| memberP(nil,sk5(X0,nil,sk6)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f378,f74]) ).
fof(f378,plain,
( ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| memberP(X0,sk5(X1,X0,sk6)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f366,f248]) ).
fof(f366,plain,
( ! [X0,X1] :
( sk3 != app(app(X0,sk3),X1)
| memberP(X0,sk5(X1,X0,sk6))
| ~ ssItem(sk6)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_5 ),
inference(superposition,[],[f206,f241]) ).
fof(f206,plain,
! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssItem(X6)
| memberP(X7,sk5(X8,X7,X6))
| ~ ssList(X7) ),
inference(definition_unfolding,[],[f194,f191]) ).
fof(f194,axiom,
! [X8,X6,X7] :
( sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| memberP(X7,sk5(X8,X7,X6))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f251,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f199,f246,f224]) ).
fof(f224,plain,
( spl0_2
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f199,axiom,
( ssItem(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f244,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f210,f224]) ).
fof(f210,plain,
nil != sk3,
inference(definition_unfolding,[],[f192,f191]) ).
fof(f192,axiom,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f242,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f203,f239,f224]) ).
fof(f203,axiom,
( sk3 = cons(sk6,nil)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC219-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 18:36:03 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.57 % (12950)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.57 % (12958)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.58 % (12942)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.58 % (12950)Instruction limit reached!
% 0.21/0.58 % (12950)------------------------------
% 0.21/0.58 % (12950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (12950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (12950)Termination reason: Unknown
% 0.21/0.58 % (12950)Termination phase: Finite model building preprocessing
% 0.21/0.58
% 0.21/0.58 % (12950)Memory used [KB]: 1535
% 0.21/0.58 % (12950)Time elapsed: 0.010 s
% 0.21/0.58 % (12950)Instructions burned: 7 (million)
% 0.21/0.58 % (12950)------------------------------
% 0.21/0.58 % (12950)------------------------------
% 0.21/0.58 % (12945)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.59 % (12945)Instruction limit reached!
% 0.21/0.59 % (12945)------------------------------
% 0.21/0.59 % (12945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (12945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (12945)Termination reason: Unknown
% 0.21/0.59 % (12945)Termination phase: Property scanning
% 0.21/0.59
% 0.21/0.59 % (12945)Memory used [KB]: 1535
% 0.21/0.59 % (12945)Time elapsed: 0.006 s
% 0.21/0.59 % (12945)Instructions burned: 7 (million)
% 0.21/0.59 % (12945)------------------------------
% 0.21/0.59 % (12945)------------------------------
% 0.21/0.59 % (12947)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.59 % (12937)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.59 % (12939)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.60 % (12940)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.60 % (12956)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.60 % (12938)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.60 % (12943)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.60 % (12941)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.61 % (12962)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.61 % (12937)Instruction limit reached!
% 0.21/0.61 % (12937)------------------------------
% 0.21/0.61 % (12937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61 % (12937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61 % (12937)Termination reason: Unknown
% 0.21/0.61 % (12937)Termination phase: Equality proxy
% 0.21/0.61
% 0.21/0.61 % (12937)Memory used [KB]: 1535
% 0.21/0.61 % (12937)Time elapsed: 0.005 s
% 0.21/0.61 % (12937)Instructions burned: 5 (million)
% 0.21/0.61 % (12937)------------------------------
% 0.21/0.61 % (12937)------------------------------
% 0.21/0.62 % (12947)Instruction limit reached!
% 0.21/0.62 % (12947)------------------------------
% 0.21/0.62 % (12947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.62 % (12947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.62 % (12947)Termination reason: Unknown
% 0.21/0.62 % (12947)Termination phase: Saturation
% 0.21/0.62
% 0.21/0.62 % (12947)Memory used [KB]: 6012
% 0.21/0.62 % (12947)Time elapsed: 0.009 s
% 0.21/0.62 % (12947)Instructions burned: 6 (million)
% 0.21/0.62 % (12947)------------------------------
% 0.21/0.62 % (12947)------------------------------
% 0.21/0.62 % (12961)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.62 % (12948)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.62 % (12935)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.62 % (12964)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.62 % (12963)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.63 % (12943)Instruction limit reached!
% 0.21/0.63 % (12943)------------------------------
% 0.21/0.63 % (12943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.63 % (12943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.63 % (12943)Termination reason: Unknown
% 0.21/0.63 % (12943)Termination phase: Property scanning
% 0.21/0.63
% 0.21/0.63 % (12943)Memory used [KB]: 1535
% 0.21/0.63 % (12943)Time elapsed: 0.004 s
% 0.21/0.63 % (12943)Instructions burned: 3 (million)
% 0.21/0.63 % (12943)------------------------------
% 0.21/0.63 % (12943)------------------------------
% 0.21/0.63 % (12955)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.63 % (12942)First to succeed.
% 0.21/0.63 % (12954)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.63 % (12936)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.63 % (12942)Refutation found. Thanks to Tanya!
% 0.21/0.63 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.63 % (12942)------------------------------
% 0.21/0.63 % (12942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.63 % (12942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.63 % (12942)Termination reason: Refutation
% 0.21/0.63
% 0.21/0.63 % (12942)Memory used [KB]: 6268
% 0.21/0.63 % (12942)Time elapsed: 0.112 s
% 0.21/0.63 % (12942)Instructions burned: 21 (million)
% 0.21/0.63 % (12942)------------------------------
% 0.21/0.63 % (12942)------------------------------
% 0.21/0.63 % (12934)Success in time 0.271 s
%------------------------------------------------------------------------------