TSTP Solution File: SWC294-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC294-1 : 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 18:40:12 EDT 2022
% Result : Unsatisfiable 1.50s 0.57s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 44 ( 15 unt; 0 def)
% Number of atoms : 95 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 93 ( 42 ~; 47 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f479,plain,
$false,
inference(avatar_sat_refutation,[],[f236,f249,f258,f439,f476]) ).
fof(f476,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f475,plain,
( $false
| ~ spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f474,f196]) ).
fof(f196,plain,
~ strictorderedP(sk3),
inference(definition_unfolding,[],[f193,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f193,axiom,
~ strictorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f474,plain,
( strictorderedP(sk3)
| ~ spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f462,f47]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f462,plain,
( ~ ssItem(skaf44(sk3))
| strictorderedP(sk3)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f234,f448]) ).
fof(f448,plain,
( sk3 = cons(skaf44(sk3),nil)
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f447,f195]) ).
fof(f195,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f447,plain,
( sk3 = cons(skaf44(sk3),nil)
| ~ ssList(sk3)
| ~ spl0_6 ),
inference(resolution,[],[f101,f253]) ).
fof(f253,plain,
( singletonP(sk3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl0_6
<=> singletonP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f234,plain,
( ! [X1] :
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f233,plain,
( spl0_2
<=> ! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f439,plain,
( ~ spl0_1
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f438,plain,
( $false
| ~ spl0_1
| spl0_7 ),
inference(subsumption_resolution,[],[f436,f3]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f436,plain,
( ~ strictorderedP(nil)
| ~ spl0_1
| spl0_7 ),
inference(backward_demodulation,[],[f196,f431]) ).
fof(f431,plain,
( nil = sk3
| ~ spl0_1
| spl0_7 ),
inference(subsumption_resolution,[],[f430,f195]) ).
fof(f430,plain,
( nil = sk3
| ~ ssList(sk3)
| ~ spl0_1
| spl0_7 ),
inference(resolution,[],[f426,f80]) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f426,plain,
( segmentP(nil,sk3)
| ~ spl0_1
| spl0_7 ),
inference(backward_demodulation,[],[f192,f421]) ).
fof(f421,plain,
( nil = sk4
| ~ spl0_1
| spl0_7 ),
inference(subsumption_resolution,[],[f420,f197]) ).
fof(f197,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f420,plain,
( nil = sk4
| ~ ssList(sk4)
| ~ spl0_1
| spl0_7 ),
inference(subsumption_resolution,[],[f415,f230]) ).
fof(f230,plain,
( ssList(nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f229,plain,
( spl0_1
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f415,plain,
( nil = sk4
| ~ ssList(nil)
| ~ ssList(sk4)
| spl0_7 ),
inference(resolution,[],[f100,f257]) ).
fof(f257,plain,
( ~ neq(sk4,nil)
| spl0_7 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl0_7
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f192,axiom,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f258,plain,
( spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f194,f255,f251]) ).
fof(f194,axiom,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f249,plain,
spl0_1,
inference(avatar_split_clause,[],[f8,f229]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f236,plain,
spl0_2,
inference(avatar_split_clause,[],[f66,f233]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC294-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n014.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 18:45:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.51 % (26607)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)
% 0.19/0.51 % (26623)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.52 % (26615)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)
% 0.19/0.52 % (26607)Instruction limit reached!
% 0.19/0.52 % (26607)------------------------------
% 0.19/0.52 % (26607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26607)Termination reason: Unknown
% 0.19/0.52 % (26607)Termination phase: Equality proxy
% 0.19/0.52
% 0.19/0.52 % (26607)Memory used [KB]: 1535
% 0.19/0.52 % (26607)Time elapsed: 0.005 s
% 0.19/0.52 % (26607)Instructions burned: 4 (million)
% 0.19/0.52 % (26607)------------------------------
% 0.19/0.52 % (26607)------------------------------
% 1.34/0.53 % (26615)Instruction limit reached!
% 1.34/0.53 % (26615)------------------------------
% 1.34/0.53 % (26615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53 % (26615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53 % (26615)Termination reason: Unknown
% 1.34/0.53 % (26615)Termination phase: Property scanning
% 1.34/0.53
% 1.34/0.53 % (26615)Memory used [KB]: 1535
% 1.34/0.53 % (26615)Time elapsed: 0.007 s
% 1.34/0.53 % (26615)Instructions burned: 6 (million)
% 1.34/0.53 % (26615)------------------------------
% 1.34/0.53 % (26615)------------------------------
% 1.34/0.54 % (26633)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)
% 1.34/0.54 % (26613)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)
% 1.34/0.54 % (26613)Instruction limit reached!
% 1.34/0.54 % (26613)------------------------------
% 1.34/0.54 % (26613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (26613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (26613)Termination reason: Unknown
% 1.34/0.54 % (26613)Termination phase: Property scanning
% 1.34/0.54
% 1.34/0.54 % (26613)Memory used [KB]: 1535
% 1.34/0.54 % (26613)Time elapsed: 0.003 s
% 1.34/0.54 % (26613)Instructions burned: 3 (million)
% 1.34/0.54 % (26613)------------------------------
% 1.34/0.54 % (26613)------------------------------
% 1.34/0.54 % (26609)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)
% 1.34/0.54 % (26605)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.34/0.55 % (26618)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)
% 1.34/0.55 % (26623)Instruction limit reached!
% 1.34/0.55 % (26623)------------------------------
% 1.34/0.55 % (26623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55 % (26623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (26623)Termination reason: Unknown
% 1.50/0.55 % (26623)Termination phase: Saturation
% 1.50/0.55
% 1.50/0.55 % (26623)Memory used [KB]: 11257
% 1.50/0.55 % (26623)Time elapsed: 0.141 s
% 1.50/0.55 % (26623)Instructions burned: 29 (million)
% 1.50/0.55 % (26623)------------------------------
% 1.50/0.55 % (26623)------------------------------
% 1.50/0.55 % (26610)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.50/0.55 % (26609)Refutation not found, incomplete strategy% (26609)------------------------------
% 1.50/0.55 % (26609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55 % (26609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (26609)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.55
% 1.50/0.55 % (26609)Memory used [KB]: 6268
% 1.50/0.55 % (26609)Time elapsed: 0.135 s
% 1.50/0.55 % (26609)Instructions burned: 15 (million)
% 1.50/0.55 % (26609)------------------------------
% 1.50/0.55 % (26609)------------------------------
% 1.50/0.56 % (26628)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)
% 1.50/0.56 % (26611)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)
% 1.50/0.56 % (26620)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)
% 1.50/0.56 % (26634)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)
% 1.50/0.56 % (26620)Instruction limit reached!
% 1.50/0.56 % (26620)------------------------------
% 1.50/0.56 % (26620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (26620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (26620)Termination reason: Unknown
% 1.50/0.56 % (26620)Termination phase: Finite model building preprocessing
% 1.50/0.56
% 1.50/0.56 % (26620)Memory used [KB]: 1535
% 1.50/0.56 % (26620)Time elapsed: 0.004 s
% 1.50/0.56 % (26620)Instructions burned: 7 (million)
% 1.50/0.56 % (26620)------------------------------
% 1.50/0.56 % (26620)------------------------------
% 1.50/0.56 % (26618)Instruction limit reached!
% 1.50/0.56 % (26618)------------------------------
% 1.50/0.56 % (26618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (26618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (26618)Termination reason: Unknown
% 1.50/0.56 % (26618)Termination phase: Function definition elimination
% 1.50/0.56
% 1.50/0.56 % (26618)Memory used [KB]: 1407
% 1.50/0.56 % (26618)Time elapsed: 0.005 s
% 1.50/0.56 % (26618)Instructions burned: 3 (million)
% 1.50/0.56 % (26618)------------------------------
% 1.50/0.56 % (26618)------------------------------
% 1.50/0.56 % (26614)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.50/0.57 % (26627)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.50/0.57 % (26616)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.50/0.57 % (26608)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)
% 1.50/0.57 % (26630)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.50/0.57 % (26605)First to succeed.
% 1.50/0.57 % (26605)Refutation found. Thanks to Tanya!
% 1.50/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.50/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.57 % (26605)------------------------------
% 1.50/0.57 % (26605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57 % (26605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (26605)Termination reason: Refutation
% 1.50/0.57
% 1.50/0.57 % (26605)Memory used [KB]: 6268
% 1.50/0.57 % (26605)Time elapsed: 0.152 s
% 1.50/0.57 % (26605)Instructions burned: 17 (million)
% 1.50/0.57 % (26605)------------------------------
% 1.50/0.57 % (26605)------------------------------
% 1.50/0.57 % (26604)Success in time 0.214 s
%------------------------------------------------------------------------------