TSTP Solution File: SWC313-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC313-1 : 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 : n011.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 18:40:21 EDT 2022
% Result : Unsatisfiable 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 45 ( 10 unt; 0 def)
% Number of atoms : 133 ( 63 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 173 ( 85 ~; 88 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f398,plain,
$false,
inference(unit_resulting_resolution,[],[f8,f397,f224]) ).
fof(f224,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ neq(X0,X1)
| ~ ssList(X0)
| X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f397,plain,
neq(nil,nil),
inference(subsumption_resolution,[],[f384,f393]) ).
fof(f393,plain,
nil = sk1,
inference(trivial_inequality_removal,[],[f386]) ).
fof(f386,plain,
( nil != nil
| nil = sk1 ),
inference(backward_demodulation,[],[f234,f381]) ).
fof(f381,plain,
nil = sk2,
inference(subsumption_resolution,[],[f380,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f380,plain,
( ~ ssList(sk2)
| nil = sk2 ),
inference(equality_resolution,[],[f372]) ).
fof(f372,plain,
! [X3] :
( sk2 != X3
| nil = X3
| ~ ssList(X3) ),
inference(subsumption_resolution,[],[f371,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f371,plain,
! [X3] :
( ~ ssList(tl(X3))
| sk2 != X3
| nil = X3
| ~ ssList(X3) ),
inference(subsumption_resolution,[],[f370,f12]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f370,plain,
! [X3] :
( ~ ssItem(skaf83(X3))
| nil = X3
| sk2 != X3
| ~ ssList(X3)
| ~ ssList(tl(X3)) ),
inference(superposition,[],[f366,f317]) ).
fof(f317,plain,
! [X1] :
( cons(skaf83(X1),tl(X1)) = X1
| ~ ssList(X1)
| nil = X1 ),
inference(duplicate_literal_removal,[],[f314]) ).
fof(f314,plain,
! [X1] :
( ~ ssList(X1)
| cons(skaf83(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1)
| nil = X1 ),
inference(superposition,[],[f109,f296]) ).
fof(f296,plain,
! [X1] :
( tl(X1) = skaf82(X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f295,f13]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f295,plain,
! [X1] :
( nil = X1
| ~ ssList(skaf82(X1))
| tl(X1) = skaf82(X1)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f288,f12]) ).
fof(f288,plain,
! [X1] :
( ~ ssItem(skaf83(X1))
| ~ ssList(X1)
| ~ ssList(skaf82(X1))
| tl(X1) = skaf82(X1)
| nil = X1 ),
inference(superposition,[],[f96,f109]) ).
fof(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f109,axiom,
! [X0] :
( cons(skaf83(X0),skaf82(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f366,plain,
! [X2,X3] :
( cons(X2,X3) != sk2
| ~ ssItem(X2)
| ~ ssList(X3) ),
inference(subsumption_resolution,[],[f365,f8]) ).
fof(f365,plain,
! [X2,X3] :
( ~ ssList(nil)
| ~ ssList(X3)
| cons(X2,X3) != sk2
| ~ ssItem(X2) ),
inference(resolution,[],[f363,f224]) ).
fof(f363,plain,
! [X0,X1] :
( neq(nil,nil)
| cons(X1,X0) != sk2
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f357,f359]) ).
fof(f359,plain,
! [X0,X1] :
( nil = sk1
| ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != sk2 ),
inference(trivial_inequality_removal,[],[f356]) ).
fof(f356,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(X1,X0) != sk2
| nil != nil
| ~ ssItem(X1)
| nil = sk1 ),
inference(superposition,[],[f234,f346]) ).
fof(f346,plain,
! [X0,X1] :
( nil = sk2
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != sk2 ),
inference(duplicate_literal_removal,[],[f338]) ).
fof(f338,plain,
! [X0,X1] :
( ~ ssItem(X0)
| nil = sk2
| cons(X0,X1) != sk2
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(superposition,[],[f265,f120]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f265,plain,
! [X6,X7] :
( sk2 != app(cons(X6,nil),X7)
| ~ ssList(X7)
| ~ ssItem(X6)
| nil = sk2 ),
inference(subsumption_resolution,[],[f195,f252]) ).
fof(f252,plain,
! [X6,X7] :
( sk2 != app(cons(X6,nil),X7)
| ~ ssList(X7)
| ~ ssItem(X6)
| sk1 = app(X7,cons(X6,nil)) ),
inference(forward_demodulation,[],[f251,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f251,plain,
! [X6,X7] :
( sk2 != app(cons(X6,nil),X7)
| ~ ssItem(X6)
| ~ ssList(X7)
| sk3 = app(X7,cons(X6,nil)) ),
inference(forward_demodulation,[],[f192,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f192,axiom,
! [X6,X7] :
( sk4 != app(cons(X6,nil),X7)
| sk3 = app(X7,cons(X6,nil))
| ~ ssItem(X6)
| ~ ssList(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f195,axiom,
! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| sk2 != app(cons(X6,nil),X7)
| sk1 != app(X7,cons(X6,nil))
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f357,plain,
! [X0,X1] :
( nil != sk1
| ~ ssItem(X1)
| cons(X1,X0) != sk2
| ~ ssList(X0)
| neq(nil,nil) ),
inference(superposition,[],[f196,f346]) ).
fof(f196,axiom,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f234,plain,
( nil != sk2
| nil = sk1 ),
inference(forward_demodulation,[],[f233,f190]) ).
fof(f233,plain,
( nil = sk1
| nil != sk4 ),
inference(forward_demodulation,[],[f193,f191]) ).
fof(f193,axiom,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f384,plain,
( nil != sk1
| neq(nil,nil) ),
inference(backward_demodulation,[],[f196,f381]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC313-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 18:43:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (9231)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)
% 0.18/0.49 % (9240)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)
% 0.18/0.50 % (9232)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)
% 0.18/0.50 % (9220)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)
% 0.18/0.51 % (9232)Instruction limit reached!
% 0.18/0.51 % (9232)------------------------------
% 0.18/0.51 % (9232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (9232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (9232)Termination reason: Unknown
% 0.18/0.51 % (9232)Termination phase: Finite model building preprocessing
% 0.18/0.51
% 0.18/0.51 % (9232)Memory used [KB]: 1535
% 0.18/0.51 % (9232)Time elapsed: 0.009 s
% 0.18/0.51 % (9232)Instructions burned: 6 (million)
% 0.18/0.51 % (9232)------------------------------
% 0.18/0.51 % (9232)------------------------------
% 0.18/0.51 % (9224)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)
% 0.18/0.51 % (9227)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)
% 0.18/0.51 % (9218)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)
% 0.18/0.51 % (9224)Refutation not found, incomplete strategy% (9224)------------------------------
% 0.18/0.51 % (9224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (9224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (9224)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (9224)Memory used [KB]: 6012
% 0.18/0.51 % (9224)Time elapsed: 0.076 s
% 0.18/0.51 % (9224)Instructions burned: 3 (million)
% 0.18/0.51 % (9224)------------------------------
% 0.18/0.51 % (9224)------------------------------
% 0.18/0.52 % (9239)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)
% 0.18/0.52 % (9231)First to succeed.
% 0.18/0.53 % (9229)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)
% 0.18/0.53 % (9228)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)
% 0.18/0.53 % (9229)Instruction limit reached!
% 0.18/0.53 % (9229)------------------------------
% 0.18/0.53 % (9229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (9229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (9229)Termination reason: Unknown
% 0.18/0.53 % (9229)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (9229)Memory used [KB]: 6012
% 0.18/0.53 % (9229)Time elapsed: 0.007 s
% 0.18/0.53 % (9229)Instructions burned: 6 (million)
% 0.18/0.53 % (9229)------------------------------
% 0.18/0.53 % (9229)------------------------------
% 0.18/0.53 % (9217)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.53 % (9221)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)
% 0.18/0.53 % (9231)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (9231)------------------------------
% 0.18/0.53 % (9231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (9231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (9231)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (9231)Memory used [KB]: 1791
% 0.18/0.53 % (9231)Time elapsed: 0.112 s
% 0.18/0.53 % (9231)Instructions burned: 23 (million)
% 0.18/0.53 % (9231)------------------------------
% 0.18/0.53 % (9231)------------------------------
% 0.18/0.53 % (9216)Success in time 0.192 s
%------------------------------------------------------------------------------