TSTP Solution File: SWC153-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC153-1 : 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 : n012.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 18:42:02 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 49 ( 15 unt; 0 def)
% Number of atoms : 209 ( 17 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 323 ( 163 ~; 160 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f274,plain,
$false,
inference(subsumption_resolution,[],[f273,f248]) ).
fof(f248,plain,
leq(sk5,sk6),
inference(subsumption_resolution,[],[f247,f197]) ).
fof(f197,axiom,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f247,plain,
( leq(sk5,sk6)
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f246,f201]) ).
fof(f201,axiom,
leq(sk6,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f246,plain,
( ~ leq(sk6,sk5)
| leq(sk5,sk6)
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f245,f198]) ).
fof(f198,axiom,
ssList(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f245,plain,
( ~ ssList(sk8)
| ~ leq(sk6,sk5)
| leq(sk5,sk6)
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f244,f195]) ).
fof(f195,axiom,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f244,plain,
( ~ ssItem(sk5)
| ~ leq(sk6,sk5)
| leq(sk5,sk6)
| ~ ssList(sk7)
| ~ ssList(sk8) ),
inference(subsumption_resolution,[],[f243,f199]) ).
fof(f199,axiom,
ssList(sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f243,plain,
( ~ ssList(sk9)
| ~ leq(sk6,sk5)
| leq(sk5,sk6)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f240,f196]) ).
fof(f196,axiom,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f240,plain,
( ~ ssItem(sk6)
| ~ ssList(sk9)
| ~ ssList(sk7)
| ~ ssList(sk8)
| ~ leq(sk6,sk5)
| leq(sk5,sk6)
| ~ ssItem(sk5) ),
inference(trivial_inequality_removal,[],[f239]) ).
fof(f239,plain,
( ~ ssList(sk9)
| ~ ssItem(sk5)
| ~ leq(sk6,sk5)
| ~ ssItem(sk6)
| sk3 != sk3
| leq(sk5,sk6)
| ~ ssList(sk7)
| ~ ssList(sk8) ),
inference(superposition,[],[f192,f205]) ).
fof(f205,plain,
sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(definition_unfolding,[],[f200,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f200,axiom,
sk1 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f192,axiom,
! [X10,X8,X6,X9,X7] :
( sk3 != app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10)
| leq(X6,X7)
| ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ leq(X7,X6)
| ~ ssList(X9)
| ~ ssList(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f273,plain,
~ leq(sk5,sk6),
inference(subsumption_resolution,[],[f272,f260]) ).
fof(f260,plain,
leq(sk5,sk10),
inference(subsumption_resolution,[],[f259,f197]) ).
fof(f259,plain,
( ~ ssList(sk7)
| leq(sk5,sk10) ),
inference(subsumption_resolution,[],[f258,f196]) ).
fof(f258,plain,
( ~ ssItem(sk6)
| leq(sk5,sk10)
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f257,f199]) ).
fof(f257,plain,
( leq(sk5,sk10)
| ~ ssList(sk9)
| ~ ssItem(sk6)
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f256,f201]) ).
fof(f256,plain,
( ~ leq(sk6,sk5)
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(sk9)
| leq(sk5,sk10) ),
inference(subsumption_resolution,[],[f255,f195]) ).
fof(f255,plain,
( ~ ssItem(sk5)
| ~ ssItem(sk6)
| ~ leq(sk6,sk5)
| leq(sk5,sk10)
| ~ ssList(sk9)
| ~ ssList(sk7) ),
inference(trivial_inequality_removal,[],[f254]) ).
fof(f254,plain,
( ~ leq(sk6,sk5)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ ssItem(sk6)
| leq(sk5,sk10)
| sk3 != sk3 ),
inference(superposition,[],[f253,f205]) ).
fof(f253,plain,
! [X2,X3,X0,X1] :
( sk3 != app(app(app(app(X2,cons(X0,nil)),sk8),cons(X3,nil)),X1)
| ~ ssItem(X3)
| ~ ssItem(X0)
| leq(X0,sk10)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ leq(X3,X0) ),
inference(subsumption_resolution,[],[f252,f249]) ).
fof(f249,plain,
ssItem(sk10),
inference(resolution,[],[f248,f202]) ).
fof(f202,axiom,
( ~ leq(sk5,sk6)
| ssItem(sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f252,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(sk10)
| ~ ssList(X1)
| ~ ssList(X2)
| sk3 != app(app(app(app(X2,cons(X0,nil)),sk8),cons(X3,nil)),X1)
| ~ ssItem(X0)
| leq(X0,sk10)
| ~ leq(X3,X0) ),
inference(subsumption_resolution,[],[f251,f198]) ).
fof(f251,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| sk3 != app(app(app(app(X2,cons(X0,nil)),sk8),cons(X3,nil)),X1)
| ~ ssItem(sk10)
| ~ ssList(X2)
| ~ ssList(sk8)
| leq(X0,sk10)
| ~ leq(X3,X0)
| ~ ssItem(X3)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f250,f248]) ).
fof(f250,plain,
! [X2,X3,X0,X1] :
( sk3 != app(app(app(app(X2,cons(X0,nil)),sk8),cons(X3,nil)),X1)
| ~ leq(sk5,sk6)
| ~ ssList(X1)
| ~ leq(X3,X0)
| ~ ssList(X2)
| ~ ssItem(sk10)
| leq(X0,sk10)
| ~ ssItem(X3)
| ~ ssItem(X0)
| ~ ssList(sk8) ),
inference(resolution,[],[f193,f203]) ).
fof(f203,axiom,
( memberP(sk8,sk10)
| ~ leq(sk5,sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f193,axiom,
! [X10,X11,X8,X6,X9,X7] :
( ~ memberP(X9,X11)
| ~ ssItem(X6)
| ~ ssList(X9)
| leq(X6,X11)
| ~ ssList(X10)
| ~ ssList(X8)
| sk3 != app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10)
| ~ leq(X7,X6)
| ~ ssItem(X11)
| ~ ssItem(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f272,plain,
( ~ leq(sk5,sk10)
| ~ leq(sk5,sk6) ),
inference(resolution,[],[f271,f204]) ).
fof(f204,axiom,
( ~ leq(sk10,sk6)
| ~ leq(sk5,sk6)
| ~ leq(sk5,sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
fof(f271,plain,
leq(sk10,sk6),
inference(subsumption_resolution,[],[f270,f195]) ).
fof(f270,plain,
( ~ ssItem(sk5)
| leq(sk10,sk6) ),
inference(subsumption_resolution,[],[f269,f201]) ).
fof(f269,plain,
( ~ leq(sk6,sk5)
| ~ ssItem(sk5)
| leq(sk10,sk6) ),
inference(subsumption_resolution,[],[f268,f199]) ).
fof(f268,plain,
( ~ ssList(sk9)
| ~ ssItem(sk5)
| leq(sk10,sk6)
| ~ leq(sk6,sk5) ),
inference(subsumption_resolution,[],[f267,f197]) ).
fof(f267,plain,
( ~ ssList(sk7)
| ~ leq(sk6,sk5)
| ~ ssItem(sk5)
| leq(sk10,sk6)
| ~ ssList(sk9) ),
inference(subsumption_resolution,[],[f266,f196]) ).
fof(f266,plain,
( ~ ssItem(sk6)
| leq(sk10,sk6)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssList(sk9)
| ~ leq(sk6,sk5) ),
inference(trivial_inequality_removal,[],[f265]) ).
fof(f265,plain,
( ~ ssItem(sk5)
| leq(sk10,sk6)
| ~ leq(sk6,sk5)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssList(sk9)
| sk3 != sk3 ),
inference(superposition,[],[f264,f205]) ).
fof(f264,plain,
! [X2,X3,X0,X1] :
( sk3 != app(app(app(app(X2,cons(X3,nil)),sk8),cons(X1,nil)),X0)
| ~ leq(X1,X3)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(sk10,X1) ),
inference(subsumption_resolution,[],[f263,f249]) ).
fof(f263,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| sk3 != app(app(app(app(X2,cons(X3,nil)),sk8),cons(X1,nil)),X0)
| ~ leq(X1,X3)
| leq(sk10,X1)
| ~ ssItem(sk10) ),
inference(subsumption_resolution,[],[f262,f248]) ).
fof(f262,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ leq(X1,X3)
| leq(sk10,X1)
| ~ leq(sk5,sk6)
| ~ ssItem(sk10)
| ~ ssItem(X1)
| sk3 != app(app(app(app(X2,cons(X3,nil)),sk8),cons(X1,nil)),X0) ),
inference(subsumption_resolution,[],[f261,f198]) ).
fof(f261,plain,
! [X2,X3,X0,X1] :
( ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssItem(sk10)
| leq(sk10,X1)
| sk3 != app(app(app(app(X2,cons(X3,nil)),sk8),cons(X1,nil)),X0)
| ~ leq(sk5,sk6)
| ~ ssItem(X3)
| ~ ssList(X2)
| ~ leq(X1,X3)
| ~ ssItem(X1) ),
inference(resolution,[],[f194,f203]) ).
fof(f194,axiom,
! [X10,X11,X8,X6,X9,X7] :
( ~ memberP(X9,X11)
| ~ ssItem(X11)
| ~ ssList(X10)
| leq(X11,X7)
| ~ ssList(X9)
| sk3 != app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ leq(X7,X6)
| ~ ssList(X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC153-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 18:27:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.49 % (31162)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)
% 0.18/0.49 % (31148)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.49 % (31148)Instruction limit reached!
% 0.18/0.49 % (31148)------------------------------
% 0.18/0.49 % (31148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (31148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (31148)Termination reason: Unknown
% 0.18/0.49 % (31148)Termination phase: Blocked clause elimination
% 0.18/0.49
% 0.18/0.49 % (31148)Memory used [KB]: 1151
% 0.18/0.49 % (31148)Time elapsed: 0.003 s
% 0.18/0.49 % (31148)Instructions burned: 4 (million)
% 0.18/0.49 % (31148)------------------------------
% 0.18/0.49 % (31148)------------------------------
% 0.18/0.50 % (31146)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)
% 0.18/0.50 % (31150)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (31162)First to succeed.
% 0.18/0.50 % (31149)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (31160)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.50 % (31162)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (31162)------------------------------
% 0.18/0.50 % (31162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (31162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (31162)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (31162)Memory used [KB]: 1151
% 0.18/0.50 % (31162)Time elapsed: 0.064 s
% 0.18/0.50 % (31162)Instructions burned: 9 (million)
% 0.18/0.50 % (31162)------------------------------
% 0.18/0.50 % (31162)------------------------------
% 0.18/0.50 % (31139)Success in time 0.159 s
%------------------------------------------------------------------------------