TSTP Solution File: SWC380-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC380-1 : 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 : n003.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 18:43:29 EDT 2022
% Result : Unsatisfiable 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 50 ( 8 unt; 0 def)
% Number of atoms : 146 ( 15 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 191 ( 95 ~; 89 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f358,plain,
$false,
inference(avatar_sat_refutation,[],[f253,f254,f259,f268,f281,f299,f300,f357]) ).
fof(f357,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f356,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(unit_resulting_resolution,[],[f248,f331,f325,f355]) ).
fof(f355,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(sk4,X0) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f354,f188]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f354,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sk4,X0)
| ~ ssList(sk3)
| ~ memberP(sk3,X0) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f353,f280]) ).
fof(f280,plain,
( ssList(sk6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl0_8
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f353,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(sk6)
| ~ ssItem(X0)
| ~ ssList(sk3)
| memberP(sk4,X0) )
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f140,f302]) ).
fof(f302,plain,
( sk4 = app(sk3,sk6)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f263,f258]) ).
fof(f258,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl0_3
<=> sk3 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f263,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl0_4
<=> sk4 = app(cons(sk5,nil),sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f140,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f325,plain,
( memberP(sk3,sk5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f324,f284]) ).
fof(f284,plain,
( ssList(nil)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl0_9
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f324,plain,
( memberP(sk3,sk5)
| ~ ssList(nil)
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f323,f248]) ).
fof(f323,plain,
( memberP(sk3,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_3 ),
inference(superposition,[],[f243,f258]) ).
fof(f243,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f217]) ).
fof(f217,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ ssList(X2)
| X0 != X1
| ~ ssItem(X0)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f331,plain,
( ~ memberP(sk4,sk5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f330,f248]) ).
fof(f330,plain,
( ~ ssItem(sk5)
| ~ memberP(sk4,sk5)
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f329]) ).
fof(f329,plain,
( ~ memberP(sk4,sk5)
| ~ ssItem(sk5)
| sk3 != sk3
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f267,f258]) ).
fof(f267,plain,
( ! [X6] :
( sk3 != cons(X6,nil)
| ~ memberP(sk4,X6)
| ~ ssItem(X6) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl0_5
<=> ! [X6] :
( ~ ssItem(X6)
| sk3 != cons(X6,nil)
| ~ memberP(sk4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f248,plain,
( ssItem(sk5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl0_1
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f300,plain,
( ~ spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f203,f261,f250]) ).
fof(f250,plain,
( spl0_2
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f203,axiom,
( sk4 = app(cons(sk5,nil),sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f299,plain,
spl0_9,
inference(avatar_split_clause,[],[f8,f283]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f281,plain,
( ~ spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f201,f278,f250]) ).
fof(f201,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f268,plain,
( spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f210,f250,f266]) ).
fof(f210,plain,
! [X6] :
( ~ neq(sk4,nil)
| ~ ssItem(X6)
| ~ memberP(sk4,X6)
| sk3 != cons(X6,nil) ),
inference(definition_unfolding,[],[f199,f191,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f199,axiom,
! [X6] :
( ~ neq(sk4,nil)
| sk1 != cons(X6,nil)
| ~ ssItem(X6)
| ~ memberP(sk2,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f259,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f202,f256,f250]) ).
fof(f202,axiom,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f254,plain,
spl0_2,
inference(avatar_split_clause,[],[f242,f250]) ).
fof(f242,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,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(f253,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f200,f250,f246]) ).
fof(f200,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC380-1 : 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
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:52:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (11188)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)
% 0.20/0.51 % (11206)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51 % (11196)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.54 % (11182)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (11204)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)
% 0.20/0.54 % (11184)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (11182)First to succeed.
% 0.20/0.55 % (11199)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.56 % (11209)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.56 % (11190)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56 % (11190)Instruction limit reached!
% 0.20/0.56 % (11190)------------------------------
% 0.20/0.56 % (11190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (11190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (11190)Termination reason: Unknown
% 0.20/0.56 % (11190)Termination phase: shuffling
% 0.20/0.56
% 0.20/0.56 % (11190)Memory used [KB]: 1023
% 0.20/0.56 % (11190)Time elapsed: 0.002 s
% 0.20/0.56 % (11190)Instructions burned: 2 (million)
% 0.20/0.56 % (11190)------------------------------
% 0.20/0.56 % (11190)------------------------------
% 0.20/0.57 % (11191)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)
% 0.20/0.57 % (11187)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.57 % (11193)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.57 % (11197)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.57 % (11182)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (11182)------------------------------
% 0.20/0.57 % (11182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (11182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (11182)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (11182)Memory used [KB]: 5884
% 0.20/0.57 % (11182)Time elapsed: 0.134 s
% 0.20/0.57 % (11182)Instructions burned: 13 (million)
% 0.20/0.57 % (11182)------------------------------
% 0.20/0.57 % (11182)------------------------------
% 0.20/0.57 % (11180)Success in time 0.222 s
%------------------------------------------------------------------------------