TSTP Solution File: SWC014-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC014-1 : 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 : n005.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 18:38:12 EDT 2022
% Result : Unsatisfiable 1.29s 0.52s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 26
% Syntax : Number of formulae : 79 ( 9 unt; 0 def)
% Number of atoms : 251 ( 51 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 338 ( 166 ~; 164 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f450,plain,
$false,
inference(avatar_sat_refutation,[],[f250,f251,f252,f253,f272,f273,f291,f432,f449]) ).
fof(f449,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f448,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(subsumption_resolution,[],[f447,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f447,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(subsumption_resolution,[],[f446,f337]) ).
fof(f337,plain,
( nil != sk4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f336,f303]) ).
fof(f303,plain,
( nil != sk3
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f302,f229]) ).
fof(f229,plain,
( ssItem(sk5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl0_1
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f302,plain,
( ~ ssItem(sk5)
| nil != sk3
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f295,f8]) ).
fof(f295,plain,
( nil != sk3
| ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_3 ),
inference(superposition,[],[f98,f238]) ).
fof(f238,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl0_3
<=> sk3 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f336,plain,
( nil = sk3
| nil != sk4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f335,f188]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f335,plain,
( ~ ssList(sk3)
| nil != sk4
| nil = sk3
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f326,f243]) ).
fof(f243,plain,
( ssList(sk6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl0_4
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f326,plain,
( ~ ssList(sk6)
| nil = sk3
| nil != sk4
| ~ ssList(sk3)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f118,f274]) ).
fof(f274,plain,
( sk4 = app(sk3,sk6)
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f248,f238]) ).
fof(f248,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl0_5
<=> sk4 = app(cons(sk5,nil),sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f446,plain,
( nil = sk4
| ~ ssList(nil)
| spl0_8 ),
inference(subsumption_resolution,[],[f435,f208]) ).
fof(f208,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f435,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ ssList(nil)
| spl0_8 ),
inference(resolution,[],[f265,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| X0 = X1
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f265,plain,
( ~ neq(nil,sk4)
| spl0_8 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f263,plain,
( spl0_8
<=> neq(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f432,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f431,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_9 ),
inference(subsumption_resolution,[],[f425,f274]) ).
fof(f425,plain,
( sk4 != app(sk3,sk6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_9 ),
inference(backward_demodulation,[],[f269,f421]) ).
fof(f421,plain,
( sk6 = tl(sk4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f420,f229]) ).
fof(f420,plain,
( sk6 = tl(sk4)
| ~ ssItem(sk5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f404,f243]) ).
fof(f404,plain,
( ~ ssList(sk6)
| ~ ssItem(sk5)
| sk6 = tl(sk4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f96,f395]) ).
fof(f395,plain,
( sk4 = cons(sk5,sk6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f373,f243]) ).
fof(f373,plain,
( sk4 = cons(sk5,sk6)
| ~ ssList(sk6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f312,f274]) ).
fof(f312,plain,
( ! [X0] :
( app(sk3,X0) = cons(sk5,X0)
| ~ ssList(X0) )
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f292,f229]) ).
fof(f292,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssItem(sk5)
| app(sk3,X0) = cons(sk5,X0) )
| ~ spl0_3 ),
inference(superposition,[],[f120,f238]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f269,plain,
( sk4 != app(sk3,tl(sk4))
| spl0_9 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f267,plain,
( spl0_9
<=> sk4 = app(sk3,tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f291,plain,
( ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f290,plain,
( $false
| ~ spl0_2
| spl0_6 ),
inference(subsumption_resolution,[],[f288,f8]) ).
fof(f288,plain,
( ~ ssList(nil)
| ~ spl0_2
| spl0_6 ),
inference(resolution,[],[f279,f223]) ).
fof(f223,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f216,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X1)
| X0 != X1
| ~ ssList(X0)
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f279,plain,
( neq(nil,nil)
| ~ spl0_2
| spl0_6 ),
inference(backward_demodulation,[],[f233,f277]) ).
fof(f277,plain,
( nil = sk4
| spl0_6 ),
inference(subsumption_resolution,[],[f275,f208]) ).
fof(f275,plain,
( nil = sk4
| ~ ssList(sk4)
| spl0_6 ),
inference(resolution,[],[f257,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f257,plain,
( ~ ssList(tl(sk4))
| spl0_6 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl0_6
<=> ssList(tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f233,plain,
( neq(sk4,nil)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f231,plain,
( spl0_2
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f273,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f202,f231,f236]) ).
fof(f202,axiom,
( ~ neq(sk4,nil)
| sk3 = cons(sk5,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f272,plain,
( ~ spl0_6
| ~ spl0_9
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f271,f263,f231,f267,f255]) ).
fof(f271,plain,
( ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| sk4 != app(sk3,tl(sk4))
| ~ ssList(tl(sk4)) ),
inference(subsumption_resolution,[],[f221,f208]) ).
fof(f221,plain,
( ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| sk4 != app(sk3,tl(sk4))
| ~ ssList(sk4)
| ~ ssList(tl(sk4)) ),
inference(equality_resolution,[],[f220]) ).
fof(f220,plain,
! [X6] :
( ~ ssList(X6)
| sk4 != X6
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4))
| app(sk3,tl(sk4)) != X6 ),
inference(equality_resolution,[],[f213]) ).
fof(f213,plain,
! [X6,X7] :
( ~ ssList(X6)
| tl(sk4) != X7
| sk4 != X6
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(X7)
| app(sk3,X7) != X6 ),
inference(definition_unfolding,[],[f199,f190,f190,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f199,axiom,
! [X6,X7] :
( ~ ssList(X6)
| tl(sk2) != X7
| sk2 != X6
| ~ neq(nil,sk2)
| ~ neq(sk4,nil)
| ~ ssList(X7)
| app(sk1,X7) != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f253,plain,
( ~ spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f201,f241,f231]) ).
fof(f201,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f252,plain,
spl0_2,
inference(avatar_split_clause,[],[f225,f231]) ).
fof(f225,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f204]) ).
fof(f204,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f251,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f200,f231,f227]) ).
fof(f200,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f250,plain,
( spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f203,f231,f246]) ).
fof(f203,axiom,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC014-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % 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 : n005.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 17:56:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.48 % (27691)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.49 % (27695)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)
% 0.20/0.49 % (27705)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)
% 0.20/0.49 % (27696)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)
% 0.20/0.50 % (27685)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.50 % (27688)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)
% 0.20/0.50 % (27691)Instruction limit reached!
% 0.20/0.50 % (27691)------------------------------
% 0.20/0.50 % (27691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (27691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (27691)Termination reason: Unknown
% 0.20/0.50 % (27691)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (27691)Memory used [KB]: 6012
% 0.20/0.50 % (27691)Time elapsed: 0.005 s
% 0.20/0.50 % (27691)Instructions burned: 8 (million)
% 0.20/0.50 % (27691)------------------------------
% 0.20/0.50 % (27691)------------------------------
% 0.20/0.50 % (27696)Instruction limit reached!
% 0.20/0.50 % (27696)------------------------------
% 0.20/0.50 % (27696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (27696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (27696)Termination reason: Unknown
% 0.20/0.50 % (27696)Termination phase: Finite model building preprocessing
% 0.20/0.50
% 0.20/0.50 % (27696)Memory used [KB]: 1535
% 0.20/0.50 % (27696)Time elapsed: 0.008 s
% 0.20/0.50 % (27696)Instructions burned: 7 (million)
% 0.20/0.50 % (27696)------------------------------
% 0.20/0.50 % (27696)------------------------------
% 0.20/0.50 % (27687)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)
% 0.20/0.51 % (27694)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (27688)First to succeed.
% 0.20/0.51 % (27694)Instruction limit reached!
% 0.20/0.51 % (27694)------------------------------
% 0.20/0.51 % (27694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (27690)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (27681)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51 % (27704)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)
% 1.29/0.52 % (27688)Refutation found. Thanks to Tanya!
% 1.29/0.52 % SZS status Unsatisfiable for theBenchmark
% 1.29/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.52 % (27688)------------------------------
% 1.29/0.52 % (27688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (27688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (27688)Termination reason: Refutation
% 1.29/0.52
% 1.29/0.52 % (27688)Memory used [KB]: 6140
% 1.29/0.52 % (27688)Time elapsed: 0.074 s
% 1.29/0.52 % (27688)Instructions burned: 9 (million)
% 1.29/0.52 % (27688)------------------------------
% 1.29/0.52 % (27688)------------------------------
% 1.29/0.52 % (27675)Success in time 0.165 s
%------------------------------------------------------------------------------