TSTP Solution File: SWC167-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC167-1 : 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 18:39:17 EDT 2022
% Result : Unsatisfiable 1.67s 0.60s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 22
% Syntax : Number of formulae : 64 ( 16 unt; 0 def)
% Number of atoms : 177 ( 20 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 221 ( 108 ~; 108 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f728,plain,
$false,
inference(avatar_sat_refutation,[],[f241,f339,f350,f361,f701,f725]) ).
fof(f725,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f724,plain,
( $false
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f716,f196]) ).
fof(f196,axiom,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f716,plain,
( ~ ssItem(sk6)
| ~ spl0_16 ),
inference(resolution,[],[f380,f63]) ).
fof(f63,axiom,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f380,plain,
( lt(sk6,sk6)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f378,plain,
( spl0_16
<=> lt(sk6,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f701,plain,
( ~ spl0_13
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f700]) ).
fof(f700,plain,
( $false
| ~ spl0_13
| spl0_16 ),
inference(subsumption_resolution,[],[f699,f198]) ).
fof(f198,axiom,
ssList(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f699,plain,
( ~ ssList(sk8)
| ~ spl0_13
| spl0_16 ),
inference(subsumption_resolution,[],[f698,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f698,plain,
( ~ ssList(nil)
| ~ ssList(sk8)
| ~ spl0_13
| spl0_16 ),
inference(subsumption_resolution,[],[f697,f379]) ).
fof(f379,plain,
( ~ lt(sk6,sk6)
| spl0_16 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f697,plain,
( lt(sk6,sk6)
| ~ ssList(sk8)
| ~ ssList(nil)
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f696,f199]) ).
fof(f199,axiom,
ssList(sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f696,plain,
( ~ ssList(sk9)
| ~ ssList(sk8)
| lt(sk6,sk6)
| ~ ssList(nil)
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f695,f196]) ).
fof(f695,plain,
( ~ ssItem(sk6)
| ~ ssList(sk8)
| ~ ssList(sk9)
| ~ ssList(nil)
| lt(sk6,sk6)
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f694,f194]) ).
fof(f194,axiom,
strictorderedP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f694,plain,
( ~ strictorderedP(sk3)
| ~ ssList(nil)
| lt(sk6,sk6)
| ~ ssList(sk8)
| ~ ssList(sk9)
| ~ ssItem(sk6)
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f691,f188]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f691,plain,
( ~ ssList(sk3)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(sk9)
| ~ strictorderedP(sk3)
| ~ ssList(sk8)
| lt(sk6,sk6)
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f680]) ).
fof(f680,plain,
( ~ strictorderedP(sk3)
| ~ ssItem(sk6)
| ~ ssList(sk3)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ ssItem(sk6)
| ~ ssList(nil)
| lt(sk6,sk6)
| ~ spl0_13 ),
inference(superposition,[],[f210,f486]) ).
fof(f486,plain,
( sk3 = app(app(sk8,cons(sk6,nil)),cons(sk6,sk9))
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f485,f199]) ).
fof(f485,plain,
( sk3 = app(app(sk8,cons(sk6,nil)),cons(sk6,sk9))
| ~ ssList(sk9)
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f474,f196]) ).
fof(f474,plain,
( ~ ssItem(sk6)
| ~ ssList(sk9)
| sk3 = app(app(sk8,cons(sk6,nil)),cons(sk6,sk9))
| ~ spl0_13 ),
inference(superposition,[],[f331,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(f331,plain,
( sk3 = app(app(sk8,cons(sk6,nil)),app(cons(sk6,nil),sk9))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f329,plain,
( spl0_13
<=> sk3 = app(app(sk8,cons(sk6,nil)),app(cons(sk6,nil),sk9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f210,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X4)
| ~ ssList(X2)
| lt(X1,X3) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssItem(X1)
| lt(X1,X3)
| ~ ssList(X4)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
| ~ ssList(X5)
| ~ ssList(X2)
| ~ strictorderedP(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f361,plain,
( ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f360,plain,
( $false
| ~ spl0_11
| spl0_12 ),
inference(subsumption_resolution,[],[f359,f318]) ).
fof(f318,plain,
( ssList(cons(sk6,nil))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl0_11
<=> ssList(cons(sk6,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f359,plain,
( ~ ssList(cons(sk6,nil))
| spl0_12 ),
inference(subsumption_resolution,[],[f358,f198]) ).
fof(f358,plain,
( ~ ssList(sk8)
| ~ ssList(cons(sk6,nil))
| spl0_12 ),
inference(resolution,[],[f327,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f327,plain,
( ~ ssList(app(sk8,cons(sk6,nil)))
| spl0_12 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f325,plain,
( spl0_12
<=> ssList(app(sk8,cons(sk6,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f350,plain,
spl0_11,
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f349,plain,
( $false
| spl0_11 ),
inference(subsumption_resolution,[],[f348,f8]) ).
fof(f348,plain,
( ~ ssList(nil)
| spl0_11 ),
inference(subsumption_resolution,[],[f347,f196]) ).
fof(f347,plain,
( ~ ssItem(sk6)
| ~ ssList(nil)
| spl0_11 ),
inference(resolution,[],[f319,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f319,plain,
( ~ ssList(cons(sk6,nil))
| spl0_11 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f339,plain,
( ~ spl0_11
| spl0_13
| ~ spl0_12
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f338,f231,f325,f329,f317]) ).
fof(f231,plain,
( spl0_4
<=> sk6 = sk7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f338,plain,
( ~ ssList(app(sk8,cons(sk6,nil)))
| sk3 = app(app(sk8,cons(sk6,nil)),app(cons(sk6,nil),sk9))
| ~ ssList(cons(sk6,nil))
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f292,f199]) ).
fof(f292,plain,
( ~ ssList(cons(sk6,nil))
| sk3 = app(app(sk8,cons(sk6,nil)),app(cons(sk6,nil),sk9))
| ~ ssList(app(sk8,cons(sk6,nil)))
| ~ ssList(sk9)
| ~ spl0_4 ),
inference(superposition,[],[f149,f245]) ).
fof(f245,plain,
( sk3 = app(app(app(sk8,cons(sk6,nil)),cons(sk6,nil)),sk9)
| ~ spl0_4 ),
inference(backward_demodulation,[],[f203,f233]) ).
fof(f233,plain,
( sk6 = sk7
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f203,plain,
sk3 = app(app(app(sk8,cons(sk6,nil)),cons(sk7,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(sk8,cons(sk6,nil)),cons(sk7,nil)),sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f149,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f241,plain,
spl0_4,
inference(avatar_split_clause,[],[f240,f231]) ).
fof(f240,plain,
sk6 = sk7,
inference(subsumption_resolution,[],[f239,f197]) ).
fof(f197,axiom,
ssItem(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f239,plain,
( ~ ssItem(sk7)
| sk6 = sk7 ),
inference(subsumption_resolution,[],[f224,f196]) ).
fof(f224,plain,
( ~ ssItem(sk6)
| sk6 = sk7
| ~ ssItem(sk7) ),
inference(resolution,[],[f201,f102]) ).
fof(f102,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X1)
| X0 = X1
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f201,axiom,
~ neq(sk6,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC167-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 18:54:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.55 % (11162)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55 % (11162)Instruction limit reached!
% 0.19/0.55 % (11162)------------------------------
% 0.19/0.55 % (11162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (11161)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)
% 0.19/0.56 % (11178)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.56 % (11162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (11162)Termination reason: Unknown
% 0.19/0.56 % (11162)Termination phase: Equality proxy
% 0.19/0.56
% 0.19/0.56 % (11162)Memory used [KB]: 1535
% 0.19/0.56 % (11162)Time elapsed: 0.004 s
% 0.19/0.56 % (11162)Instructions burned: 4 (million)
% 0.19/0.56 % (11162)------------------------------
% 0.19/0.56 % (11162)------------------------------
% 0.19/0.56 % (11177)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)
% 0.19/0.56 % (11170)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56 % (11170)Instruction limit reached!
% 0.19/0.56 % (11170)------------------------------
% 0.19/0.56 % (11170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (11170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (11170)Termination reason: Unknown
% 0.19/0.56 % (11170)Termination phase: shuffling
% 0.19/0.56
% 0.19/0.56 % (11170)Memory used [KB]: 1407
% 0.19/0.56 % (11170)Time elapsed: 0.003 s
% 0.19/0.56 % (11170)Instructions burned: 2 (million)
% 0.19/0.56 % (11170)------------------------------
% 0.19/0.56 % (11170)------------------------------
% 0.19/0.56 % (11169)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)
% 0.19/0.58 % (11169)Instruction limit reached!
% 0.19/0.58 % (11169)------------------------------
% 0.19/0.58 % (11169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (11169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (11169)Termination reason: Unknown
% 0.19/0.59 % (11169)Termination phase: Finite model building preprocessing
% 0.19/0.59
% 0.19/0.59 % (11169)Memory used [KB]: 1535
% 0.19/0.59 % (11169)Time elapsed: 0.007 s
% 0.19/0.59 % (11169)Instructions burned: 6 (million)
% 0.19/0.59 % (11169)------------------------------
% 0.19/0.59 % (11169)------------------------------
% 1.67/0.60 % (11161)First to succeed.
% 1.67/0.60 % (11161)Refutation found. Thanks to Tanya!
% 1.67/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.67/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.61 % (11161)------------------------------
% 1.67/0.61 % (11161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.61 % (11161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.61 % (11161)Termination reason: Refutation
% 1.67/0.61
% 1.67/0.61 % (11161)Memory used [KB]: 6396
% 1.67/0.61 % (11161)Time elapsed: 0.156 s
% 1.67/0.61 % (11161)Instructions burned: 22 (million)
% 1.67/0.61 % (11161)------------------------------
% 1.67/0.61 % (11161)------------------------------
% 1.67/0.61 % (11153)Success in time 0.252 s
%------------------------------------------------------------------------------