TSTP Solution File: SWC048-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC048-1 : 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 : n025.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 18:38:25 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 22
% Syntax : Number of formulae : 56 ( 7 unt; 0 def)
% Number of atoms : 141 ( 17 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 163 ( 78 ~; 76 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f359,plain,
$false,
inference(avatar_sat_refutation,[],[f223,f228,f237,f238,f239,f240,f265,f282,f295,f301,f339,f358]) ).
fof(f358,plain,
( ~ spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f357,f279,f244]) ).
fof(f244,plain,
( spl0_7
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f279,plain,
( spl0_14
<=> rearsegP(sk3,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f357,plain,
( ~ ssList(sk3)
| spl0_14 ),
inference(resolution,[],[f281,f59]) ).
fof(f59,axiom,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f281,plain,
( ~ rearsegP(sk3,sk3)
| spl0_14 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f339,plain,
( ~ spl0_12
| ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f337,f215,f211,f271]) ).
fof(f271,plain,
( spl0_12
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f211,plain,
( spl0_1
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f215,plain,
( spl0_2
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f337,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f292,f209]) ).
fof(f209,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(X1)
| ~ neq(X0,X1)
| X0 != X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f292,plain,
( neq(nil,nil)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f217,f213]) ).
fof(f213,plain,
( nil = sk4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f217,plain,
( neq(sk4,nil)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f301,plain,
( ~ spl0_7
| spl0_3
| ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f298,f225,f211,f220,f244]) ).
fof(f220,plain,
( spl0_3
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f225,plain,
( spl0_4
<=> rearsegP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f298,plain,
( nil = sk3
| ~ ssList(sk3)
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f296,f82]) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f296,plain,
( rearsegP(nil,sk3)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f227,f213]) ).
fof(f227,plain,
( rearsegP(sk4,sk3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f295,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f294,plain,
( $false
| spl0_12 ),
inference(resolution,[],[f273,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f273,plain,
( ~ ssList(nil)
| spl0_12 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f282,plain,
( ~ spl0_7
| ~ spl0_4
| ~ spl0_14
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f268,f235,f230,f279,f225,f244]) ).
fof(f230,plain,
( spl0_5
<=> neq(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f235,plain,
( spl0_6
<=> ! [X6] :
( ~ rearsegP(sk4,X6)
| ~ neq(X6,nil)
| ~ rearsegP(sk3,X6)
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f268,plain,
( ~ rearsegP(sk3,sk3)
| ~ rearsegP(sk4,sk3)
| ~ ssList(sk3)
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f236,f232]) ).
fof(f232,plain,
( neq(sk3,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f236,plain,
( ! [X6] :
( ~ neq(X6,nil)
| ~ rearsegP(sk4,X6)
| ~ rearsegP(sk3,X6)
| ~ ssList(X6) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f265,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f246,f188]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f246,plain,
( ~ ssList(sk3)
| spl0_7 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f240,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f197,f211,f225]) ).
fof(f197,axiom,
( nil = sk4
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f239,plain,
( ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f201,f235,f220]) ).
fof(f201,plain,
! [X6] :
( ~ rearsegP(sk3,X6)
| nil != sk3
| ~ ssList(X6)
| ~ neq(X6,nil)
| ~ rearsegP(sk4,X6) ),
inference(definition_unfolding,[],[f195,f190,f191,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f195,axiom,
! [X6] :
( ~ neq(X6,nil)
| ~ ssList(X6)
| ~ rearsegP(sk2,X6)
| nil != sk1
| ~ rearsegP(sk1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f238,plain,
( spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f196,f211,f230]) ).
fof(f196,axiom,
( nil = sk4
| neq(sk3,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f237,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f203,f235,f211]) ).
fof(f203,plain,
! [X6] :
( ~ rearsegP(sk4,X6)
| ~ ssList(X6)
| ~ rearsegP(sk3,X6)
| nil = sk4
| ~ neq(X6,nil) ),
inference(definition_unfolding,[],[f193,f191,f190,f190]) ).
fof(f193,axiom,
! [X6] :
( ~ rearsegP(sk1,X6)
| nil = sk2
| ~ neq(X6,nil)
| ~ rearsegP(sk2,X6)
| ~ ssList(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f228,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f199,f225,f220]) ).
fof(f199,axiom,
( rearsegP(sk4,sk3)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f223,plain,
( ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f200,f215,f220]) ).
fof(f200,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f194,f191,f190]) ).
fof(f194,axiom,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC048-1 : 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_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 18:09:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.50 % (14837)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)
% 0.19/0.51 % (14853)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (14845)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.51 % (14824)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51 % (14847)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)
% 0.19/0.51 % (14845)First to succeed.
% 0.19/0.51 % (14837)Instruction limit reached!
% 0.19/0.51 % (14837)------------------------------
% 0.19/0.51 % (14837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (14837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (14837)Termination reason: Unknown
% 0.19/0.51 % (14837)Termination phase: Property scanning
% 0.19/0.51
% 0.19/0.51 % (14837)Memory used [KB]: 1407
% 0.19/0.51 % (14837)Time elapsed: 0.005 s
% 0.19/0.51 % (14837)Instructions burned: 3 (million)
% 0.19/0.51 % (14837)------------------------------
% 0.19/0.51 % (14837)------------------------------
% 0.19/0.52 % (14845)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (14845)------------------------------
% 0.19/0.52 % (14845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (14845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (14845)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (14845)Memory used [KB]: 6012
% 0.19/0.52 % (14845)Time elapsed: 0.111 s
% 0.19/0.52 % (14845)Instructions burned: 5 (million)
% 0.19/0.52 % (14845)------------------------------
% 0.19/0.52 % (14845)------------------------------
% 0.19/0.52 % (14823)Success in time 0.173 s
%------------------------------------------------------------------------------