TSTP Solution File: SWC320-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n009.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 18:43:08 EDT 2022
% Result : Unsatisfiable 0.15s 0.50s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 12 unt; 0 def)
% Number of atoms : 112 ( 71 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 128 ( 64 ~; 64 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f296,plain,
$false,
inference(subsumption_resolution,[],[f295,f289]) ).
fof(f289,plain,
nil = app(sk6,cons(sk5,nil)),
inference(subsumption_resolution,[],[f276,f284]) ).
fof(f284,plain,
neq(nil,nil),
inference(subsumption_resolution,[],[f270,f274]) ).
fof(f274,plain,
nil = sk3,
inference(trivial_inequality_removal,[],[f263]) ).
fof(f263,plain,
( nil != nil
| nil = sk3 ),
inference(backward_demodulation,[],[f192,f261]) ).
fof(f261,plain,
nil = sk4,
inference(subsumption_resolution,[],[f260,f245]) ).
fof(f245,plain,
( sk4 = app(sk6,cons(sk5,nil))
| nil = sk4 ),
inference(resolution,[],[f196,f204]) ).
fof(f204,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(f196,axiom,
( ~ neq(sk4,nil)
| sk4 = app(sk6,cons(sk5,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f260,plain,
( sk4 != app(sk6,cons(sk5,nil))
| nil = sk4 ),
inference(subsumption_resolution,[],[f257,f243]) ).
fof(f243,plain,
( sk3 = app(cons(sk5,nil),sk6)
| nil = sk4 ),
inference(resolution,[],[f195,f204]) ).
fof(f195,axiom,
( ~ neq(sk4,nil)
| sk3 = app(cons(sk5,nil),sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f257,plain,
( sk3 != app(cons(sk5,nil),sk6)
| sk4 != app(sk6,cons(sk5,nil))
| nil = sk4 ),
inference(duplicate_literal_removal,[],[f256]) ).
fof(f256,plain,
( sk3 != app(cons(sk5,nil),sk6)
| nil = sk4
| sk4 != app(sk6,cons(sk5,nil))
| nil = sk4 ),
inference(resolution,[],[f247,f238]) ).
fof(f238,plain,
( ssList(sk6)
| nil = sk4 ),
inference(resolution,[],[f204,f194]) ).
fof(f194,axiom,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f247,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk4
| sk4 != app(X0,cons(sk5,nil))
| sk3 != app(cons(sk5,nil),X0) ),
inference(duplicate_literal_removal,[],[f246]) ).
fof(f246,plain,
! [X0] :
( sk4 != app(X0,cons(sk5,nil))
| nil = sk4
| ~ ssList(X0)
| nil = sk4
| sk3 != app(cons(sk5,nil),X0) ),
inference(resolution,[],[f239,f201]) ).
fof(f201,plain,
! [X6,X7] :
( ~ ssItem(X6)
| nil = sk4
| ~ ssList(X7)
| sk4 != app(X7,cons(X6,nil))
| sk3 != app(cons(X6,nil),X7) ),
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] :
( nil = sk2
| sk1 != app(cons(X6,nil),X7)
| ~ ssList(X7)
| sk2 != app(X7,cons(X6,nil))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f239,plain,
( ssItem(sk5)
| nil = sk4 ),
inference(resolution,[],[f204,f193]) ).
fof(f193,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f192,axiom,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f270,plain,
( nil != sk3
| neq(nil,nil) ),
inference(backward_demodulation,[],[f206,f261]) ).
fof(f206,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(f276,plain,
( nil = app(sk6,cons(sk5,nil))
| ~ neq(nil,nil) ),
inference(forward_demodulation,[],[f267,f261]) ).
fof(f267,plain,
( ~ neq(nil,nil)
| sk4 = app(sk6,cons(sk5,nil)) ),
inference(backward_demodulation,[],[f196,f261]) ).
fof(f295,plain,
nil != app(sk6,cons(sk5,nil)),
inference(subsumption_resolution,[],[f294,f288]) ).
fof(f288,plain,
nil = app(cons(sk5,nil),sk6),
inference(forward_demodulation,[],[f287,f274]) ).
fof(f287,plain,
sk3 = app(cons(sk5,nil),sk6),
inference(subsumption_resolution,[],[f266,f284]) ).
fof(f266,plain,
( ~ neq(nil,nil)
| sk3 = app(cons(sk5,nil),sk6) ),
inference(backward_demodulation,[],[f195,f261]) ).
fof(f294,plain,
( nil != app(cons(sk5,nil),sk6)
| nil != app(sk6,cons(sk5,nil)) ),
inference(resolution,[],[f292,f281]) ).
fof(f281,plain,
ssList(sk6),
inference(trivial_inequality_removal,[],[f278]) ).
fof(f278,plain,
( nil != nil
| ssList(sk6) ),
inference(backward_demodulation,[],[f240,f274]) ).
fof(f240,plain,
( ssList(sk6)
| nil != sk3 ),
inference(resolution,[],[f206,f194]) ).
fof(f292,plain,
! [X0] :
( ~ ssList(X0)
| nil != app(cons(sk5,nil),X0)
| nil != app(X0,cons(sk5,nil)) ),
inference(resolution,[],[f291,f282]) ).
fof(f282,plain,
ssItem(sk5),
inference(trivial_inequality_removal,[],[f279]) ).
fof(f279,plain,
( ssItem(sk5)
| nil != nil ),
inference(backward_demodulation,[],[f241,f274]) ).
fof(f241,plain,
( ssItem(sk5)
| nil != sk3 ),
inference(resolution,[],[f206,f193]) ).
fof(f291,plain,
! [X6,X7] :
( ~ ssItem(X6)
| nil != app(X7,cons(X6,nil))
| ~ ssList(X7)
| nil != app(cons(X6,nil),X7) ),
inference(forward_demodulation,[],[f290,f274]) ).
fof(f290,plain,
! [X6,X7] :
( ~ ssList(X7)
| ~ ssItem(X6)
| nil != app(X7,cons(X6,nil))
| sk3 != app(cons(X6,nil),X7) ),
inference(subsumption_resolution,[],[f269,f274]) ).
fof(f269,plain,
! [X6,X7] :
( nil != app(X7,cons(X6,nil))
| sk3 != app(cons(X6,nil),X7)
| nil != sk3
| ~ ssItem(X6)
| ~ ssList(X7) ),
inference(backward_demodulation,[],[f205,f261]) ).
fof(f205,plain,
! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| sk3 != app(cons(X6,nil),X7)
| sk4 != app(X7,cons(X6,nil))
| nil != sk3 ),
inference(definition_unfolding,[],[f200,f191,f191,f190]) ).
fof(f200,axiom,
! [X6,X7] :
( nil != sk1
| ~ ssList(X7)
| sk1 != app(cons(X6,nil),X7)
| sk2 != app(X7,cons(X6,nil))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWC320-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 18:44:05 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.45 % (13699)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.46 % (13691)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.46 % (13703)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.47 % (13707)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.47 % (13711)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.47 % (13695)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.49 % (13707)First to succeed.
% 0.15/0.49 % (13686)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.50 TRYING [1]
% 0.15/0.50 % (13707)Refutation found. Thanks to Tanya!
% 0.15/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.50 % (13707)------------------------------
% 0.15/0.50 % (13707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (13707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (13707)Termination reason: Refutation
% 0.15/0.50
% 0.15/0.50 % (13707)Memory used [KB]: 1151
% 0.15/0.50 % (13707)Time elapsed: 0.136 s
% 0.15/0.50 % (13707)Instructions burned: 9 (million)
% 0.15/0.50 % (13707)------------------------------
% 0.15/0.50 % (13707)------------------------------
% 0.15/0.50 % (13684)Success in time 0.191 s
%------------------------------------------------------------------------------