TSTP Solution File: SWC308-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC308-1 : 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 18:40:19 EDT 2022
% Result : Unsatisfiable 1.43s 0.55s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 22
% Syntax : Number of formulae : 76 ( 7 unt; 0 def)
% Number of atoms : 246 ( 62 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 317 ( 147 ~; 164 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f343,plain,
$false,
inference(avatar_sat_refutation,[],[f242,f248,f266,f274,f279,f295,f298,f342]) ).
fof(f342,plain,
( spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f341,plain,
( $false
| spl0_1
| spl0_3 ),
inference(subsumption_resolution,[],[f340,f189]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f340,plain,
( ~ ssList(sk4)
| spl0_1
| spl0_3 ),
inference(subsumption_resolution,[],[f339,f215]) ).
fof(f215,plain,
( nil != sk4
| spl0_1 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl0_1
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f339,plain,
( nil = sk4
| ~ ssList(sk4)
| spl0_3 ),
inference(subsumption_resolution,[],[f338,f225]) ).
fof(f225,plain,
( sk3 != app(tl(sk4),cons(hd(sk4),nil))
| spl0_3 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl0_3
<=> sk3 = app(tl(sk4),cons(hd(sk4),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f338,plain,
( sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(sk4)
| nil = sk4 ),
inference(equality_resolution,[],[f337]) ).
fof(f337,plain,
! [X0] :
( sk4 != X0
| nil = X0
| ~ ssList(X0)
| sk3 = app(tl(X0),cons(hd(X0),nil)) ),
inference(subsumption_resolution,[],[f336,f78]) ).
fof(f78,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f336,plain,
! [X0] :
( sk4 != X0
| ~ ssItem(hd(X0))
| nil = X0
| ~ ssList(X0)
| sk3 = app(tl(X0),cons(hd(X0),nil)) ),
inference(subsumption_resolution,[],[f335,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f335,plain,
! [X0] :
( sk4 != X0
| ~ ssList(X0)
| ~ ssItem(hd(X0))
| ~ ssList(tl(X0))
| nil = X0
| sk3 = app(tl(X0),cons(hd(X0),nil)) ),
inference(superposition,[],[f332,f104]) ).
fof(f104,axiom,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f332,plain,
! [X2,X3] :
( cons(X2,X3) != sk4
| ~ ssList(X3)
| ~ ssItem(X2)
| sk3 = app(X3,cons(X2,nil)) ),
inference(duplicate_literal_removal,[],[f330]) ).
fof(f330,plain,
! [X2,X3] :
( ~ ssItem(X2)
| ~ ssList(X3)
| sk3 = app(X3,cons(X2,nil))
| ~ ssList(X3)
| cons(X2,X3) != sk4
| ~ ssItem(X2) ),
inference(superposition,[],[f194,f120]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f194,axiom,
! [X6,X7] :
( sk4 != app(cons(X6,nil),X7)
| ~ ssList(X7)
| sk3 = app(X7,cons(X6,nil))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f298,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f297]) ).
fof(f297,plain,
( $false
| ~ spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f282,f296]) ).
fof(f296,plain,
( ~ neq(nil,nil)
| ~ spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f229,f214]) ).
fof(f214,plain,
( nil = sk4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f229,plain,
( ~ neq(nil,sk4)
| spl0_4 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl0_4
<=> neq(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f282,plain,
( neq(nil,nil)
| ~ spl0_1 ),
inference(backward_demodulation,[],[f197,f214]) ).
fof(f197,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f192,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f192,axiom,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f295,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f294,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f293,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f293,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f284,f208]) ).
fof(f208,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f284,plain,
( neq(nil,nil)
| ~ spl0_1
| ~ spl0_4 ),
inference(backward_demodulation,[],[f228,f214]) ).
fof(f228,plain,
( neq(nil,sk4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f279,plain,
( ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f276,f235,f231]) ).
fof(f231,plain,
( spl0_5
<=> ssItem(hd(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f235,plain,
( spl0_6
<=> ssList(cons(hd(sk4),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f276,plain,
( ~ ssItem(hd(sk4))
| spl0_6 ),
inference(subsumption_resolution,[],[f275,f8]) ).
fof(f275,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_6 ),
inference(resolution,[],[f237,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f237,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_6 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f274,plain,
( spl0_1
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f273,plain,
( $false
| spl0_1
| spl0_7 ),
inference(subsumption_resolution,[],[f272,f215]) ).
fof(f272,plain,
( nil = sk4
| spl0_7 ),
inference(subsumption_resolution,[],[f267,f189]) ).
fof(f267,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_7 ),
inference(resolution,[],[f241,f77]) ).
fof(f77,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f241,plain,
( ~ ssList(tl(sk4))
| spl0_7 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl0_7
<=> ssList(tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f266,plain,
( spl0_1
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f265,plain,
( $false
| spl0_1
| spl0_5 ),
inference(subsumption_resolution,[],[f264,f215]) ).
fof(f264,plain,
( nil = sk4
| spl0_5 ),
inference(subsumption_resolution,[],[f259,f189]) ).
fof(f259,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_5 ),
inference(resolution,[],[f233,f78]) ).
fof(f233,plain,
( ~ ssItem(hd(sk4))
| spl0_5 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f248,plain,
( spl0_1
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f247,plain,
( $false
| spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f246,f215]) ).
fof(f246,plain,
( nil = sk4
| spl0_4 ),
inference(subsumption_resolution,[],[f245,f8]) ).
fof(f245,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_4 ),
inference(subsumption_resolution,[],[f243,f189]) ).
fof(f243,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_4 ),
inference(resolution,[],[f229,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f242,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f221,f239,f235,f231,f227,f223]) ).
fof(f221,plain,
( ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| sk3 != app(tl(sk4),cons(hd(sk4),nil)) ),
inference(subsumption_resolution,[],[f211,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f211,plain,
( ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| sk3 != app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil))
| ~ neq(nil,sk4) ),
inference(duplicate_literal_removal,[],[f204]) ).
fof(f204,plain,
( ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| sk3 != app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| ~ neq(nil,sk4)
| ~ neq(nil,sk4) ),
inference(equality_resolution,[],[f203]) ).
fof(f203,plain,
! [X9] :
( ~ ssItem(X9)
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| ~ ssList(app(tl(sk4),cons(X9,nil)))
| ~ neq(nil,sk4)
| ~ ssList(cons(X9,nil))
| hd(sk4) != X9
| sk3 != app(tl(sk4),cons(X9,nil)) ),
inference(equality_resolution,[],[f202]) ).
fof(f202,plain,
! [X8,X9] :
( ~ ssItem(X9)
| cons(X9,nil) != X8
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| ~ ssList(app(tl(sk4),X8))
| ~ neq(nil,sk4)
| ~ ssList(X8)
| hd(sk4) != X9
| sk3 != app(tl(sk4),X8) ),
inference(equality_resolution,[],[f201]) ).
fof(f201,plain,
! [X8,X6,X9] :
( ~ ssItem(X9)
| app(tl(sk4),X8) != X6
| cons(X9,nil) != X8
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| ~ ssList(X6)
| ~ neq(nil,sk4)
| ~ ssList(X8)
| hd(sk4) != X9
| sk3 != X6 ),
inference(equality_resolution,[],[f196]) ).
fof(f196,plain,
! [X8,X6,X9,X7] :
( ~ ssItem(X9)
| tl(sk4) != X7
| app(X7,X8) != X6
| cons(X9,nil) != X8
| ~ neq(nil,sk4)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ neq(nil,sk4)
| ~ ssList(X8)
| hd(sk4) != X9
| sk3 != X6 ),
inference(definition_unfolding,[],[f193,f190,f190,f190,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f193,axiom,
! [X8,X6,X9,X7] :
( ~ ssItem(X9)
| tl(sk2) != X7
| app(X7,X8) != X6
| cons(X9,nil) != X8
| ~ neq(nil,sk2)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ neq(nil,sk2)
| ~ ssList(X8)
| hd(sk2) != X9
| sk1 != X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWC308-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.32 % Computer : n016.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 19:07:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.51 % (4614)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)
% 0.18/0.52 % (4630)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)
% 0.18/0.52 % (4629)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)
% 0.18/0.53 % (4621)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)
% 0.18/0.53 % (4622)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)
% 0.18/0.53 % (4613)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)
% 1.43/0.53 % (4615)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)
% 1.43/0.53 % (4614)First to succeed.
% 1.43/0.54 % (4631)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)
% 1.43/0.55 % (4614)Refutation found. Thanks to Tanya!
% 1.43/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.43/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.55 % (4614)------------------------------
% 1.43/0.55 % (4614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55 % (4614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55 % (4614)Termination reason: Refutation
% 1.43/0.55
% 1.43/0.55 % (4614)Memory used [KB]: 6140
% 1.43/0.55 % (4614)Time elapsed: 0.131 s
% 1.43/0.55 % (4614)Instructions burned: 8 (million)
% 1.43/0.55 % (4614)------------------------------
% 1.43/0.55 % (4614)------------------------------
% 1.43/0.55 % (4606)Success in time 0.21 s
%------------------------------------------------------------------------------