TSTP Solution File: SWC422-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC422-1 : 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 : n025.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 18:41:06 EDT 2022
% Result : Unsatisfiable 0.20s 0.61s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 63 ( 16 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 72 ( 37 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f403,plain,
$false,
inference(subsumption_resolution,[],[f402,f225]) ).
fof(f225,plain,
ssList(sk7),
inference(subsumption_resolution,[],[f211,f203]) ).
fof(f203,axiom,
( ~ neq(sk4,nil)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f211,plain,
( neq(sk4,nil)
| ssList(sk7) ),
inference(definition_unfolding,[],[f197,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f197,axiom,
( neq(sk2,nil)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f402,plain,
~ ssList(sk7),
inference(subsumption_resolution,[],[f401,f228]) ).
fof(f228,plain,
ssList(sk6),
inference(subsumption_resolution,[],[f202,f224]) ).
fof(f224,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f213,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f202,axiom,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f401,plain,
( ~ ssList(sk6)
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f400,f270]) ).
fof(f270,plain,
sk3 = app(app(sk7,cons(sk5,nil)),sk6),
inference(resolution,[],[f205,f224]) ).
fof(f205,axiom,
( ~ neq(sk4,nil)
| sk3 = app(app(sk7,cons(sk5,nil)),sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
fof(f400,plain,
( sk3 != app(app(sk7,cons(sk5,nil)),sk6)
| ~ ssList(sk6)
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f396,f226]) ).
fof(f226,plain,
ssItem(sk5),
inference(subsumption_resolution,[],[f201,f207]) ).
fof(f207,plain,
( ssItem(sk5)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f195,f190]) ).
fof(f195,axiom,
( neq(sk2,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f201,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f396,plain,
( ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(sk6)
| sk3 != app(app(sk7,cons(sk5,nil)),sk6) ),
inference(trivial_inequality_removal,[],[f387]) ).
fof(f387,plain,
( ~ ssList(sk6)
| sk3 != app(app(sk7,cons(sk5,nil)),sk6)
| ~ ssItem(sk5)
| sk4 != sk4
| ~ ssList(sk7) ),
inference(superposition,[],[f227,f258]) ).
fof(f258,plain,
sk4 = app(app(sk6,cons(sk5,nil)),sk7),
inference(resolution,[],[f204,f224]) ).
fof(f204,axiom,
( ~ neq(sk4,nil)
| sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f227,plain,
! [X8,X6,X7] :
( sk4 != app(app(X7,cons(X6,nil)),X8)
| sk3 != app(app(X8,cons(X6,nil)),X7)
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8) ),
inference(subsumption_resolution,[],[f208,f224]) ).
fof(f208,plain,
! [X8,X6,X7] :
( ~ ssList(X7)
| ~ ssList(X8)
| sk4 != app(app(X7,cons(X6,nil)),X8)
| sk3 != app(app(X8,cons(X6,nil)),X7)
| ~ ssItem(X6)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f200,f191,f190]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f200,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssList(X7)
| sk1 != app(app(X8,cons(X6,nil)),X7)
| sk2 != app(app(X7,cons(X6,nil)),X8)
| ~ ssItem(X6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC422-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % 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 : n025.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 19:04:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.55 % (2007)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)
% 0.20/0.55 % (2007)Instruction limit reached!
% 0.20/0.55 % (2007)------------------------------
% 0.20/0.55 % (2007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (2023)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)
% 0.20/0.56 % (2007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (2007)Termination reason: Unknown
% 0.20/0.56 % (2007)Termination phase: Property scanning
% 0.20/0.56
% 0.20/0.56 % (2007)Memory used [KB]: 1535
% 0.20/0.56 % (2007)Time elapsed: 0.005 s
% 0.20/0.56 % (2007)Instructions burned: 4 (million)
% 0.20/0.56 % (2007)------------------------------
% 0.20/0.56 % (2007)------------------------------
% 0.20/0.56 % (2015)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)
% 0.20/0.57 % (2015)Instruction limit reached!
% 0.20/0.57 % (2015)------------------------------
% 0.20/0.57 % (2015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (2015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (2015)Termination reason: Unknown
% 0.20/0.57 % (2015)Termination phase: Equality proxy
% 0.20/0.57
% 0.20/0.57 % (2015)Memory used [KB]: 1535
% 0.20/0.57 % (2015)Time elapsed: 0.008 s
% 0.20/0.57 % (2015)Instructions burned: 6 (million)
% 0.20/0.57 % (2015)------------------------------
% 0.20/0.57 % (2015)------------------------------
% 0.20/0.58 % (2032)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)
% 0.20/0.58 % (2011)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)
% 0.20/0.59 % (2009)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)
% 0.20/0.59 % (2005)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.59 % (2028)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)
% 0.20/0.59 % (2024)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)
% 0.20/0.59 % (2016)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)
% 0.20/0.59 % (2006)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)
% 0.20/0.60 % (2008)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)
% 0.20/0.60 % (2024)Instruction limit reached!
% 0.20/0.60 % (2024)------------------------------
% 0.20/0.60 % (2024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (2032)First to succeed.
% 0.20/0.60 % (2024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (2024)Termination reason: Unknown
% 0.20/0.60 % (2024)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (2024)Memory used [KB]: 1535
% 0.20/0.60 % (2024)Time elapsed: 0.009 s
% 0.20/0.60 % (2024)Instructions burned: 7 (million)
% 0.20/0.60 % (2024)------------------------------
% 0.20/0.60 % (2024)------------------------------
% 0.20/0.60 % (2016)Also succeeded, but the first one will report.
% 0.20/0.60 % (2020)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)
% 0.20/0.61 % (2032)Refutation found. Thanks to Tanya!
% 0.20/0.61 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.61 % (2032)------------------------------
% 0.20/0.61 % (2032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (2032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (2032)Termination reason: Refutation
% 0.20/0.61
% 0.20/0.61 % (2032)Memory used [KB]: 1663
% 0.20/0.61 % (2032)Time elapsed: 0.165 s
% 0.20/0.61 % (2032)Instructions burned: 9 (million)
% 0.20/0.61 % (2032)------------------------------
% 0.20/0.61 % (2032)------------------------------
% 0.20/0.61 % (2004)Success in time 0.252 s
%------------------------------------------------------------------------------