TSTP Solution File: SWC229-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC229-1 : 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 : n002.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 18:39:45 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 48 ( 16 unt; 0 def)
% Number of atoms : 114 ( 40 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 136 ( 70 ~; 66 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f340,plain,
$false,
inference(unit_resulting_resolution,[],[f186,f339,f74]) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f339,plain,
sk1 != app(nil,sk1),
inference(subsumption_resolution,[],[f335,f295]) ).
fof(f295,plain,
ssItem(hd(sk1)),
inference(superposition,[],[f47,f290]) ).
fof(f290,plain,
hd(sk1) = skaf44(sk1),
inference(subsumption_resolution,[],[f289,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f289,plain,
( hd(sk1) = skaf44(sk1)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f272,f47]) ).
fof(f272,plain,
( ~ ssItem(skaf44(sk1))
| hd(sk1) = skaf44(sk1)
| ~ ssList(nil) ),
inference(superposition,[],[f97,f264]) ).
fof(f264,plain,
sk1 = cons(skaf44(sk1),nil),
inference(subsumption_resolution,[],[f263,f193]) ).
fof(f193,axiom,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f263,plain,
( sk1 = cons(skaf44(sk1),nil)
| nil = sk1 ),
inference(subsumption_resolution,[],[f262,f186]) ).
fof(f262,plain,
( sk1 = cons(skaf44(sk1),nil)
| ~ ssList(sk1)
| nil = sk1 ),
inference(resolution,[],[f260,f80]) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f260,plain,
( segmentP(nil,sk1)
| sk1 = cons(skaf44(sk1),nil) ),
inference(superposition,[],[f233,f258]) ).
fof(f258,plain,
( nil = sk2
| sk1 = cons(skaf44(sk1),nil) ),
inference(subsumption_resolution,[],[f257,f186]) ).
fof(f257,plain,
( ~ ssList(sk1)
| sk1 = cons(skaf44(sk1),nil)
| nil = sk2 ),
inference(resolution,[],[f101,f256]) ).
fof(f256,plain,
( singletonP(sk1)
| nil = sk2 ),
inference(subsumption_resolution,[],[f255,f8]) ).
fof(f255,plain,
( nil = sk2
| ~ ssList(nil)
| singletonP(sk1) ),
inference(subsumption_resolution,[],[f254,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f254,plain,
( singletonP(sk1)
| ~ ssList(sk2)
| nil = sk2
| ~ ssList(nil) ),
inference(resolution,[],[f100,f235]) ).
fof(f235,plain,
( ~ neq(sk2,nil)
| singletonP(sk1) ),
inference(forward_demodulation,[],[f234,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f234,plain,
( singletonP(sk3)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f199,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f199,axiom,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| cons(skaf44(X0),nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f233,plain,
segmentP(sk2,sk1),
inference(forward_demodulation,[],[f232,f190]) ).
fof(f232,plain,
segmentP(sk4,sk1),
inference(forward_demodulation,[],[f192,f191]) ).
fof(f192,axiom,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f97,axiom,
! [X0,X1] :
( hd(cons(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f335,plain,
( sk1 != app(nil,sk1)
| ~ ssItem(hd(sk1)) ),
inference(superposition,[],[f334,f294]) ).
fof(f294,plain,
sk1 = cons(hd(sk1),nil),
inference(backward_demodulation,[],[f264,f290]) ).
fof(f334,plain,
! [X0] :
( sk1 != app(nil,cons(X0,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f333,f186]) ).
fof(f333,plain,
! [X0] :
( sk1 != app(nil,cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(sk1) ),
inference(inner_rewriting,[],[f332]) ).
fof(f332,plain,
! [X0] :
( ~ ssList(app(nil,cons(X0,nil)))
| ~ ssItem(X0)
| sk1 != app(nil,cons(X0,nil)) ),
inference(subsumption_resolution,[],[f330,f8]) ).
fof(f330,plain,
! [X0] :
( sk1 != app(nil,cons(X0,nil))
| ~ ssList(nil)
| ~ ssList(app(nil,cons(X0,nil)))
| ~ ssItem(X0) ),
inference(superposition,[],[f327,f73]) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f327,plain,
! [X0,X1] :
( sk1 != app(app(nil,cons(X0,nil)),X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f326,f8]) ).
fof(f326,plain,
! [X0,X1] :
( ~ ssList(nil)
| sk1 != app(app(nil,cons(X0,nil)),X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f325]) ).
fof(f325,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sk1 != app(app(nil,cons(X0,nil)),X1)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| sk1 != app(app(nil,cons(X0,nil)),X1) ),
inference(resolution,[],[f319,f194]) ).
fof(f194,axiom,
! [X8,X6,X7] :
( ssItem(sk5(X8,X7,X6))
| ~ ssList(X7)
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f319,plain,
! [X0,X1] :
( ~ ssItem(sk5(X1,nil,X0))
| sk1 != app(app(nil,cons(X0,nil)),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f318,f8]) ).
fof(f318,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(nil)
| sk1 != app(app(nil,cons(X0,nil)),X1)
| ~ ssItem(X0)
| ~ ssItem(sk5(X1,nil,X0)) ),
inference(resolution,[],[f195,f71]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f195,axiom,
! [X8,X6,X7] :
( memberP(X7,sk5(X8,X7,X6))
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| sk1 != app(app(X7,cons(X6,nil)),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC229-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % 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 : n002.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 18:49:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (29291)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)
% 0.19/0.50 % (29298)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.50 % (29298)Instruction limit reached!
% 0.19/0.50 % (29298)------------------------------
% 0.19/0.50 % (29298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (29282)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)
% 0.19/0.50 % (29289)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)
% 0.19/0.50 % (29289)Instruction limit reached!
% 0.19/0.50 % (29289)------------------------------
% 0.19/0.50 % (29289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (29289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (29289)Termination reason: Unknown
% 0.19/0.50 % (29289)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (29289)Memory used [KB]: 1535
% 0.19/0.50 % (29289)Time elapsed: 0.003 s
% 0.19/0.50 % (29289)Instructions burned: 5 (million)
% 0.19/0.50 % (29289)------------------------------
% 0.19/0.50 % (29289)------------------------------
% 0.19/0.51 % (29306)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)
% 0.19/0.51 % (29295)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.51 % (29298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (29298)Termination reason: Unknown
% 0.19/0.51 % (29291)Instruction limit reached!
% 0.19/0.51 % (29291)------------------------------
% 0.19/0.51 % (29291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (29298)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (29298)Memory used [KB]: 6012
% 0.19/0.51 % (29298)Time elapsed: 0.007 s
% 0.19/0.51 % (29298)Instructions burned: 8 (million)
% 0.19/0.51 % (29298)------------------------------
% 0.19/0.51 % (29298)------------------------------
% 0.19/0.51 % (29291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (29291)Termination reason: Unknown
% 0.19/0.51 % (29291)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (29291)Memory used [KB]: 1535
% 0.19/0.51 % (29291)Time elapsed: 0.007 s
% 0.19/0.51 % (29291)Instructions burned: 7 (million)
% 0.19/0.51 % (29291)------------------------------
% 0.19/0.51 % (29291)------------------------------
% 0.19/0.51 % (29299)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)
% 0.19/0.51 % (29287)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)
% 0.19/0.52 % (29303)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)
% 0.19/0.52 % (29310)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)
% 0.19/0.52 % (29302)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)
% 0.19/0.52 % (29284)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)
% 0.19/0.53 % (29285)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)
% 0.19/0.53 % (29283)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)
% 0.19/0.53 % (29286)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (29309)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)
% 0.19/0.53 % (29308)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)
% 0.19/0.53 % (29294)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)
% 0.19/0.54 % (29290)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)
% 0.19/0.54 % (29294)Instruction limit reached!
% 0.19/0.54 % (29294)------------------------------
% 0.19/0.54 % (29294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (29294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (29294)Termination reason: Unknown
% 0.19/0.54 % (29294)Termination phase: Function definition elimination
% 0.19/0.54
% 0.19/0.54 % (29294)Memory used [KB]: 1407
% 0.19/0.54 % (29294)Time elapsed: 0.003 s
% 0.19/0.54 % (29294)Instructions burned: 4 (million)
% 0.19/0.54 % (29294)------------------------------
% 0.19/0.54 % (29294)------------------------------
% 0.19/0.54 % (29288)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)
% 0.19/0.54 % (29295)First to succeed.
% 0.19/0.54 % (29301)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)
% 0.19/0.54 % (29295)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (29295)------------------------------
% 0.19/0.54 % (29295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (29295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (29295)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (29295)Memory used [KB]: 1791
% 0.19/0.54 % (29295)Time elapsed: 0.103 s
% 0.19/0.54 % (29295)Instructions burned: 17 (million)
% 0.19/0.54 % (29295)------------------------------
% 0.19/0.54 % (29295)------------------------------
% 0.19/0.54 % (29280)Success in time 0.189 s
%------------------------------------------------------------------------------