TSTP Solution File: LCL460+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL460+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_uns --cores 0 -t %d %s
% Computer : n018.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 17:42:38 EDT 2022
% Result : Theorem 1.26s 0.52s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 9 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 18 ~; 13 |; 0 &)
% ( 7 <=>; 3 =>; 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 : 24 ( 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f348,plain,
$false,
inference(avatar_sat_refutation,[],[f318,f319,f328,f345,f347]) ).
fof(f347,plain,
( spl2_34
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f346]) ).
fof(f346,plain,
( $false
| spl2_34
| ~ spl2_35 ),
inference(resolution,[],[f323,f317]) ).
fof(f317,plain,
( ~ is_a_theorem(implies(and(sK1,sK0),sK1))
| spl2_34 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f315,plain,
( spl2_34
<=> is_a_theorem(implies(and(sK1,sK0),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_34])]) ).
fof(f323,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1))
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f322,plain,
( spl2_35
<=> ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_35])]) ).
fof(f345,plain,
spl2_36,
inference(avatar_split_clause,[],[f164,f325]) ).
fof(f325,plain,
( spl2_36
<=> and_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).
fof(f164,plain,
and_1,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
and_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_1) ).
fof(f328,plain,
( spl2_35
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f149,f325,f322]) ).
fof(f149,plain,
! [X0,X1] :
( ~ and_1
| is_a_theorem(implies(and(X1,X0),X1)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ~ and_1
| ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1)) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
( ~ and_1
| ! [X1,X0] : is_a_theorem(implies(and(X0,X1),X0)) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
( and_1
=> ! [X1,X0] : is_a_theorem(implies(and(X0,X1),X0)) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f7,axiom,
( and_1
<=> ! [X1,X0] : is_a_theorem(implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_1) ).
fof(f319,plain,
~ spl2_33,
inference(avatar_split_clause,[],[f143,f311]) ).
fof(f311,plain,
( spl2_33
<=> kn2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).
fof(f143,plain,
~ kn2,
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
~ kn2,
inference(flattening,[],[f54]) ).
fof(f54,negated_conjecture,
~ kn2,
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
kn2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_kn2) ).
fof(f318,plain,
( spl2_33
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f145,f315,f311]) ).
fof(f145,plain,
( ~ is_a_theorem(implies(and(sK1,sK0),sK1))
| kn2 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( kn2
| ~ is_a_theorem(implies(and(sK1,sK0),sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f111,f121]) ).
fof(f121,plain,
( ? [X0,X1] : ~ is_a_theorem(implies(and(X1,X0),X1))
=> ~ is_a_theorem(implies(and(sK1,sK0),sK1)) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
( kn2
| ? [X0,X1] : ~ is_a_theorem(implies(and(X1,X0),X1)) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1))
=> kn2 ),
inference(unused_predicate_definition_removal,[],[f55]) ).
fof(f55,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1))
<=> kn2 ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
( ! [X4,X3] : is_a_theorem(implies(and(X3,X4),X3))
<=> kn2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kn2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL460+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % 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 : n018.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 02:06:55 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.19/0.50 % (28795)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (28793)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (28792)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (28806)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (28806)Refutation not found, incomplete strategy% (28806)------------------------------
% 0.19/0.51 % (28806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (28806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (28806)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (28806)Memory used [KB]: 5884
% 0.19/0.51 % (28806)Time elapsed: 0.002 s
% 0.19/0.51 % (28806)Instructions burned: 2 (million)
% 0.19/0.51 % (28806)------------------------------
% 0.19/0.51 % (28806)------------------------------
% 0.19/0.52 % (28812)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.26/0.52 % (28809)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.26/0.52 % (28809)Refutation not found, incomplete strategy% (28809)------------------------------
% 1.26/0.52 % (28809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.52 % (28809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.52 % (28809)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.52
% 1.26/0.52 % (28809)Memory used [KB]: 6012
% 1.26/0.52 % (28809)Time elapsed: 0.125 s
% 1.26/0.52 % (28809)Instructions burned: 3 (million)
% 1.26/0.52 % (28809)------------------------------
% 1.26/0.52 % (28809)------------------------------
% 1.26/0.52 % (28795)Refutation not found, incomplete strategy% (28795)------------------------------
% 1.26/0.52 % (28795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.52 % (28795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.52 % (28795)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.52
% 1.26/0.52 % (28795)Memory used [KB]: 5884
% 1.26/0.52 % (28795)Time elapsed: 0.002 s
% 1.26/0.52 % (28795)Instructions burned: 1 (million)
% 1.26/0.52 % (28795)------------------------------
% 1.26/0.52 % (28795)------------------------------
% 1.26/0.52 % (28792)First to succeed.
% 1.26/0.52 % (28810)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.26/0.52 % (28792)Refutation found. Thanks to Tanya!
% 1.26/0.52 % SZS status Theorem for theBenchmark
% 1.26/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.52 % (28792)------------------------------
% 1.26/0.52 % (28792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.52 % (28792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.52 % (28792)Termination reason: Refutation
% 1.26/0.52
% 1.26/0.52 % (28792)Memory used [KB]: 6012
% 1.26/0.52 % (28792)Time elapsed: 0.127 s
% 1.26/0.52 % (28792)Instructions burned: 4 (million)
% 1.26/0.52 % (28792)------------------------------
% 1.26/0.52 % (28792)------------------------------
% 1.26/0.52 % (28790)Success in time 0.171 s
%------------------------------------------------------------------------------