TSTP Solution File: LCL455+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n004.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 17:42:37 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 18 ~; 13 |; 0 &)
% ( 8 <=>; 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 : 26 ( 20 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f362,plain,
$false,
inference(avatar_sat_refutation,[],[f250,f277,f342,f352,f361]) ).
fof(f361,plain,
( ~ spl2_20
| spl2_40 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f360,plain,
( $false
| ~ spl2_20
| spl2_40 ),
inference(subsumption_resolution,[],[f341,f249]) ).
fof(f249,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0)))
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl2_20
<=> ! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).
fof(f341,plain,
( ~ is_a_theorem(implies(sK0,or(sK1,sK0)))
| spl2_40 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f339,plain,
( spl2_40
<=> is_a_theorem(implies(sK0,or(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).
fof(f352,plain,
~ spl2_39,
inference(avatar_split_clause,[],[f128,f335]) ).
fof(f335,plain,
( spl2_39
<=> r2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_39])]) ).
fof(f128,plain,
~ r2,
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
~ r2,
inference(flattening,[],[f54]) ).
fof(f54,negated_conjecture,
~ r2,
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
r2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r2) ).
fof(f342,plain,
( spl2_39
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f149,f339,f335]) ).
fof(f149,plain,
( ~ is_a_theorem(implies(sK0,or(sK1,sK0)))
| r2 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ~ is_a_theorem(implies(sK0,or(sK1,sK0)))
| r2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f120,f121]) ).
fof(f121,plain,
( ? [X0,X1] : ~ is_a_theorem(implies(X0,or(X1,X0)))
=> ~ is_a_theorem(implies(sK0,or(sK1,sK0))) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
( ? [X0,X1] : ~ is_a_theorem(implies(X0,or(X1,X0)))
| r2 ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
( ? [X1,X0] : ~ is_a_theorem(implies(X1,or(X0,X1)))
| r2 ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
=> r2 ),
inference(unused_predicate_definition_removal,[],[f70]) ).
fof(f70,plain,
( r2
<=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
( r2
<=> ! [X3,X4] : is_a_theorem(implies(X4,or(X3,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2) ).
fof(f277,plain,
spl2_19,
inference(avatar_split_clause,[],[f162,f244]) ).
fof(f244,plain,
( spl2_19
<=> or_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).
fof(f162,plain,
or_2,
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
or_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_2) ).
fof(f250,plain,
( ~ spl2_19
| spl2_20 ),
inference(avatar_split_clause,[],[f134,f248,f244]) ).
fof(f134,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X1,X0)))
| ~ or_2 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0)))
| ~ or_2 ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
( or_2
=> ! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f69]) ).
fof(f69,plain,
( ! [X0,X1] : 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/sandbox/benchmark/theBenchmark.p',or_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL455+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 01:59:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 % (18491)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.49 % (18491)Refutation not found, incomplete strategy% (18491)------------------------------
% 0.21/0.49 % (18491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (18491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (18491)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49
% 0.21/0.49 % (18491)Memory used [KB]: 5884
% 0.21/0.49 % (18491)Time elapsed: 0.003 s
% 0.21/0.49 % (18491)Instructions burned: 2 (million)
% 0.21/0.49 % (18491)------------------------------
% 0.21/0.49 % (18491)------------------------------
% 0.21/0.49 % (18499)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)
% 0.21/0.49 % (18499)Refutation not found, incomplete strategy% (18499)------------------------------
% 0.21/0.49 % (18499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (18499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (18499)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49
% 0.21/0.49 % (18499)Memory used [KB]: 6012
% 0.21/0.49 % (18499)Time elapsed: 0.076 s
% 0.21/0.49 % (18499)Instructions burned: 3 (million)
% 0.21/0.49 % (18499)------------------------------
% 0.21/0.49 % (18499)------------------------------
% 0.21/0.51 % (18493)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.51 % (18493)Refutation not found, incomplete strategy% (18493)------------------------------
% 0.21/0.51 % (18493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (18493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (18493)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (18493)Memory used [KB]: 5884
% 0.21/0.51 % (18493)Time elapsed: 0.001 s
% 0.21/0.51 % (18493)------------------------------
% 0.21/0.51 % (18493)------------------------------
% 0.21/0.51 % (18488)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.51 % (18492)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.51 % (18495)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.52 % (18483)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.52 % (18483)First to succeed.
% 0.21/0.52 % (18483)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (18483)------------------------------
% 0.21/0.52 % (18483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (18483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (18483)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (18483)Memory used [KB]: 6140
% 0.21/0.52 % (18483)Time elapsed: 0.094 s
% 0.21/0.52 % (18483)Instructions burned: 2 (million)
% 0.21/0.52 % (18483)------------------------------
% 0.21/0.52 % (18483)------------------------------
% 0.21/0.52 % (18482)Success in time 0.167 s
%------------------------------------------------------------------------------