TSTP Solution File: SWC219-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC219-1 : 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 : 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 18:42:27 EDT 2022
% Result : Unsatisfiable 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 71 ( 30 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 85 ( 46 ~; 39 |; 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 : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f397,plain,
$false,
inference(subsumption_resolution,[],[f396,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f396,plain,
~ ssList(nil),
inference(trivial_inequality_removal,[],[f395]) ).
fof(f395,plain,
( sk1 != sk1
| ~ ssList(nil) ),
inference(superposition,[],[f380,f348]) ).
fof(f348,plain,
sk1 = app(sk1,nil),
inference(resolution,[],[f73,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f380,plain,
! [X0] :
( sk1 != app(sk1,X0)
| ~ ssList(X0) ),
inference(backward_demodulation,[],[f270,f378]) ).
fof(f378,plain,
sk1 = app(nil,sk1),
inference(resolution,[],[f74,f186]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f270,plain,
! [X0] :
( sk1 != app(app(nil,sk1),X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f269,f253]) ).
fof(f253,plain,
ssItem(sk6),
inference(subsumption_resolution,[],[f244,f192]) ).
fof(f192,axiom,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f244,plain,
( nil = sk1
| ssItem(sk6) ),
inference(backward_demodulation,[],[f199,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f199,axiom,
( ssItem(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f269,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssItem(sk6)
| sk1 != app(app(nil,sk1),X0) ),
inference(superposition,[],[f268,f256]) ).
fof(f256,plain,
sk1 = cons(sk6,nil),
inference(forward_demodulation,[],[f230,f251]) ).
fof(f251,plain,
sk1 = sF0,
inference(forward_demodulation,[],[f250,f191]) ).
fof(f250,plain,
sk3 = sF0,
inference(subsumption_resolution,[],[f245,f192]) ).
fof(f245,plain,
( nil = sk1
| sk3 = sF0 ),
inference(backward_demodulation,[],[f231,f191]) ).
fof(f231,plain,
( sk3 = sF0
| nil = sk3 ),
inference(definition_folding,[],[f203,f230]) ).
fof(f203,axiom,
( nil = sk3
| sk3 = cons(sk6,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f230,plain,
cons(sk6,nil) = sF0,
introduced(function_definition,[]) ).
fof(f268,plain,
! [X0,X1] :
( sk1 != app(app(nil,cons(X1,nil)),X0)
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(subsumption_resolution,[],[f267,f8]) ).
fof(f267,plain,
! [X0,X1] :
( sk1 != app(app(nil,cons(X1,nil)),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f266]) ).
fof(f266,plain,
! [X0,X1] :
( ~ ssList(nil)
| sk1 != app(app(nil,cons(X1,nil)),X0)
| ~ ssList(X0)
| ~ ssItem(X1)
| sk1 != app(app(nil,cons(X1,nil)),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f264,f193]) ).
fof(f193,axiom,
! [X8,X6,X7] :
( ssItem(sk5(X8,X7,X6))
| ~ ssItem(X6)
| ~ ssList(X7)
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f264,plain,
! [X0,X1] :
( ~ ssItem(sk5(X0,nil,X1))
| ~ ssList(X0)
| sk1 != app(app(nil,cons(X1,nil)),X0)
| ~ ssItem(X1) ),
inference(subsumption_resolution,[],[f262,f8]) ).
fof(f262,plain,
! [X0,X1] :
( ~ ssItem(sk5(X0,nil,X1))
| ~ ssItem(X1)
| ~ ssList(nil)
| sk1 != app(app(nil,cons(X1,nil)),X0)
| ~ ssList(X0) ),
inference(resolution,[],[f71,f194]) ).
fof(f194,axiom,
! [X8,X6,X7] :
( memberP(X7,sk5(X8,X7,X6))
| ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssList(X7)
| sk1 != app(app(X7,cons(X6,nil)),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWC219-1 : TPTP v8.1.0. Released v2.4.0.
% 0.05/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n011.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 18:32:40 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.45 % (30161)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)
% 0.16/0.46 % (30178)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.47 % (30170)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.47 % (30169)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)
% 0.16/0.47 % (30177)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)
% 0.16/0.48 % (30162)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.48 % (30155)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.16/0.48 TRYING [1]
% 0.16/0.48 % (30160)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.49 % (30162)Instruction limit reached!
% 0.16/0.49 % (30162)------------------------------
% 0.16/0.49 % (30162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (30162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (30162)Termination reason: Unknown
% 0.16/0.49 % (30162)Termination phase: Saturation
% 0.16/0.49
% 0.16/0.49 % (30162)Memory used [KB]: 5628
% 0.16/0.49 % (30162)Time elapsed: 0.079 s
% 0.16/0.49 % (30162)Instructions burned: 7 (million)
% 0.16/0.49 % (30162)------------------------------
% 0.16/0.49 % (30162)------------------------------
% 0.16/0.50 TRYING [2]
% 0.16/0.50 % (30158)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.50 % (30170)First to succeed.
% 0.16/0.50 % (30170)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (30170)------------------------------
% 0.16/0.50 % (30170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (30170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (30170)Termination reason: Refutation
% 0.16/0.50
% 0.16/0.50 % (30170)Memory used [KB]: 1407
% 0.16/0.50 % (30170)Time elapsed: 0.076 s
% 0.16/0.50 % (30170)Instructions burned: 16 (million)
% 0.16/0.50 % (30170)------------------------------
% 0.16/0.50 % (30170)------------------------------
% 0.16/0.50 % (30154)Success in time 0.188 s
%------------------------------------------------------------------------------