TSTP Solution File: LCL455+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL455+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n013.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 17:48:24 EDT 2022
% Result : Theorem 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 9 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 16 ~; 13 |; 0 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 7 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 20 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f360,plain,
$false,
inference(avatar_sat_refutation,[],[f198,f224,f241,f357,f359]) ).
fof(f359,plain,
~ spl2_19,
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f358,plain,
( $false
| ~ spl2_19 ),
inference(resolution,[],[f236,f158]) ).
fof(f158,plain,
~ r2,
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
~ r2,
inference(flattening,[],[f54]) ).
fof(f54,negated_conjecture,
~ r2,
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
r2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r2) ).
fof(f236,plain,
( r2
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl2_19
<=> r2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).
fof(f357,plain,
( ~ spl2_9
| spl2_20 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f356,plain,
( $false
| ~ spl2_9
| spl2_20 ),
inference(resolution,[],[f240,f193]) ).
fof(f193,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0)))
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl2_9
<=> ! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f240,plain,
( ~ is_a_theorem(implies(sK0,or(sK1,sK0)))
| spl2_20 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl2_20
<=> is_a_theorem(implies(sK0,or(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).
fof(f241,plain,
( spl2_19
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f122,f238,f234]) ).
fof(f122,plain,
( ~ is_a_theorem(implies(sK0,or(sK1,sK0)))
| r2 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( r2
| ? [X0,X1] : ~ is_a_theorem(implies(X0,or(X1,X0))) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,plain,
( ! [X1,X0] : is_a_theorem(implies(X0,or(X1,X0)))
=> r2 ),
inference(unused_predicate_definition_removal,[],[f76]) ).
fof(f76,plain,
( r2
<=> ! [X1,X0] : is_a_theorem(implies(X0,or(X1,X0))) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
( r2
<=> ! [X4,X3] : is_a_theorem(implies(X4,or(X3,X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2) ).
fof(f224,plain,
spl2_10,
inference(avatar_split_clause,[],[f120,f195]) ).
fof(f195,plain,
( spl2_10
<=> or_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f120,plain,
or_2,
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
or_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_or_2) ).
fof(f198,plain,
( spl2_9
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f121,f195,f192]) ).
fof(f121,plain,
! [X0,X1] :
( ~ or_2
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ~ or_2
| ! [X1,X0] : is_a_theorem(implies(X0,or(X1,X0))) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
( or_2
=> ! [X1,X0] : is_a_theorem(implies(X0,or(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f67]) ).
fof(f67,plain,
( ! [X1,X0] : is_a_theorem(implies(X0,or(X1,X0)))
<=> or_2 ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
( or_2
<=> ! [X1,X0] : is_a_theorem(implies(X1,or(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL455+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.33 % Computer : n013.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Aug 30 01:59:02 EDT 2022
% 0.10/0.33 % CPUTime :
% 0.16/0.49 % (27924)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.49 % (27918)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)
% 0.16/0.49 % (27914)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49 % (27915)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.49 % (27927)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.50 % (27923)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)
% 0.16/0.50 % (27918)First to succeed.
% 0.16/0.50 % (27924)Also succeeded, but the first one will report.
% 0.16/0.50 % (27918)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Theorem for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (27918)------------------------------
% 0.16/0.50 % (27918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (27918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (27918)Termination reason: Refutation
% 0.16/0.50
% 0.16/0.50 % (27918)Memory used [KB]: 5628
% 0.16/0.50 % (27918)Time elapsed: 0.102 s
% 0.16/0.50 % (27918)Instructions burned: 3 (million)
% 0.16/0.50 % (27918)------------------------------
% 0.16/0.50 % (27918)------------------------------
% 0.16/0.50 % (27906)Success in time 0.164 s
%------------------------------------------------------------------------------