TSTP Solution File: SWC320-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC320-1 : 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 : n016.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 18:40:24 EDT 2022
% Result : Unsatisfiable 1.55s 0.59s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 6 unt; 0 def)
% Number of atoms : 98 ( 71 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 120 ( 60 ~; 60 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f298,plain,
$false,
inference(subsumption_resolution,[],[f271,f286]) ).
fof(f286,plain,
nil = sk3,
inference(trivial_inequality_removal,[],[f274]) ).
fof(f274,plain,
( nil != nil
| nil = sk3 ),
inference(backward_demodulation,[],[f192,f261]) ).
fof(f261,plain,
nil = sk4,
inference(subsumption_resolution,[],[f260,f243]) ).
fof(f243,plain,
( sk3 = app(cons(sk5,nil),sk6)
| nil = sk4 ),
inference(resolution,[],[f195,f201]) ).
fof(f201,plain,
( neq(sk4,nil)
| nil = sk4 ),
inference(definition_unfolding,[],[f197,f190,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f197,axiom,
( nil = sk2
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f195,axiom,
( ~ neq(sk4,nil)
| sk3 = app(cons(sk5,nil),sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f260,plain,
( sk3 != app(cons(sk5,nil),sk6)
| nil = sk4 ),
inference(subsumption_resolution,[],[f257,f245]) ).
fof(f245,plain,
( sk4 = app(sk6,cons(sk5,nil))
| nil = sk4 ),
inference(resolution,[],[f196,f201]) ).
fof(f196,axiom,
( ~ neq(sk4,nil)
| sk4 = app(sk6,cons(sk5,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f257,plain,
( nil = sk4
| sk4 != app(sk6,cons(sk5,nil))
| sk3 != app(cons(sk5,nil),sk6) ),
inference(duplicate_literal_removal,[],[f256]) ).
fof(f256,plain,
( sk4 != app(sk6,cons(sk5,nil))
| nil = sk4
| sk3 != app(cons(sk5,nil),sk6)
| nil = sk4 ),
inference(resolution,[],[f247,f238]) ).
fof(f238,plain,
( ssList(sk6)
| nil = sk4 ),
inference(resolution,[],[f201,f194]) ).
fof(f194,axiom,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f247,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(X0,cons(sk5,nil))
| nil = sk4
| sk3 != app(cons(sk5,nil),X0) ),
inference(duplicate_literal_removal,[],[f246]) ).
fof(f246,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk4
| nil = sk4
| sk3 != app(cons(sk5,nil),X0)
| sk4 != app(X0,cons(sk5,nil)) ),
inference(resolution,[],[f202,f239]) ).
fof(f239,plain,
( ssItem(sk5)
| nil = sk4 ),
inference(resolution,[],[f201,f193]) ).
fof(f193,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f202,plain,
! [X6,X7] :
( ~ ssItem(X6)
| sk3 != app(cons(X6,nil),X7)
| ~ ssList(X7)
| sk4 != app(X7,cons(X6,nil))
| nil = sk4 ),
inference(definition_unfolding,[],[f198,f190,f191,f190]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f198,axiom,
! [X6,X7] :
( ~ ssList(X7)
| nil = sk2
| sk1 != app(cons(X6,nil),X7)
| ~ ssItem(X6)
| sk2 != app(X7,cons(X6,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f192,axiom,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f271,plain,
nil != sk3,
inference(subsumption_resolution,[],[f270,f242]) ).
fof(f242,plain,
( sk3 = app(cons(sk5,nil),sk6)
| nil != sk3 ),
inference(resolution,[],[f195,f205]) ).
fof(f205,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f199,f191,f190]) ).
fof(f199,axiom,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f270,plain,
( sk3 != app(cons(sk5,nil),sk6)
| nil != sk3 ),
inference(subsumption_resolution,[],[f267,f244]) ).
fof(f244,plain,
( sk4 = app(sk6,cons(sk5,nil))
| nil != sk3 ),
inference(resolution,[],[f196,f205]) ).
fof(f267,plain,
( sk4 != app(sk6,cons(sk5,nil))
| nil != sk3
| sk3 != app(cons(sk5,nil),sk6) ),
inference(duplicate_literal_removal,[],[f265]) ).
fof(f265,plain,
( nil != sk3
| sk4 != app(sk6,cons(sk5,nil))
| nil != sk3
| sk3 != app(cons(sk5,nil),sk6) ),
inference(resolution,[],[f251,f240]) ).
fof(f240,plain,
( ssList(sk6)
| nil != sk3 ),
inference(resolution,[],[f205,f194]) ).
fof(f251,plain,
! [X0] :
( ~ ssList(X0)
| nil != sk3
| sk4 != app(X0,cons(sk5,nil))
| sk3 != app(cons(sk5,nil),X0) ),
inference(duplicate_literal_removal,[],[f249]) ).
fof(f249,plain,
! [X0] :
( sk3 != app(cons(sk5,nil),X0)
| sk4 != app(X0,cons(sk5,nil))
| ~ ssList(X0)
| nil != sk3
| nil != sk3 ),
inference(resolution,[],[f204,f241]) ).
fof(f241,plain,
( ssItem(sk5)
| nil != sk3 ),
inference(resolution,[],[f205,f193]) ).
fof(f204,plain,
! [X6,X7] :
( ~ ssItem(X6)
| sk3 != app(cons(X6,nil),X7)
| nil != sk3
| ~ ssList(X7)
| sk4 != app(X7,cons(X6,nil)) ),
inference(definition_unfolding,[],[f200,f191,f190,f191]) ).
fof(f200,axiom,
! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| nil != sk1
| sk2 != app(X7,cons(X6,nil))
| sk1 != app(cons(X6,nil),X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC320-1 : 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 : n016.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 19:09:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.39/0.55 % (9192)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)
% 1.39/0.56 % (9200)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)
% 1.39/0.56 % (9192)First to succeed.
% 1.55/0.57 % (9208)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)
% 1.55/0.57 % (9193)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)
% 1.55/0.59 % (9209)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)
% 1.55/0.59 % (9201)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)
% 1.55/0.59 % (9192)Refutation found. Thanks to Tanya!
% 1.55/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.55/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.59 % (9192)------------------------------
% 1.55/0.59 % (9192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.59 % (9192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.59 % (9192)Termination reason: Refutation
% 1.55/0.59
% 1.55/0.59 % (9192)Memory used [KB]: 1535
% 1.55/0.59 % (9192)Time elapsed: 0.130 s
% 1.55/0.59 % (9192)Instructions burned: 9 (million)
% 1.55/0.59 % (9192)------------------------------
% 1.55/0.59 % (9192)------------------------------
% 1.55/0.59 % (9185)Success in time 0.237 s
%------------------------------------------------------------------------------