TSTP Solution File: LCL506+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL506+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 : 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 17:48:34 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% 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 : 40 ( 17 ~; 12 |; 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 : 24 ( 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,plain,
$false,
inference(avatar_sat_refutation,[],[f128,f137,f138,f149,f158]) ).
fof(f158,plain,
( ~ spl2_4
| spl2_6 ),
inference(avatar_contradiction_clause,[],[f157]) ).
fof(f157,plain,
( $false
| ~ spl2_4
| spl2_6 ),
inference(resolution,[],[f136,f127]) ).
fof(f127,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl2_4
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f136,plain,
( ~ is_a_theorem(implies(and(sK1,sK0),sK1))
| spl2_6 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl2_6
<=> is_a_theorem(implies(and(sK1,sK0),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f149,plain,
spl2_3,
inference(avatar_split_clause,[],[f95,f122]) ).
fof(f122,plain,
( spl2_3
<=> kn2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f95,plain,
kn2,
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
kn2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_kn2) ).
fof(f138,plain,
~ spl2_5,
inference(avatar_split_clause,[],[f97,f130]) ).
fof(f130,plain,
( spl2_5
<=> and_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f97,plain,
~ and_1,
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
~ and_1,
inference(flattening,[],[f44]) ).
fof(f44,negated_conjecture,
~ and_1,
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
and_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_1) ).
fof(f137,plain,
( spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f92,f134,f130]) ).
fof(f92,plain,
( ~ is_a_theorem(implies(and(sK1,sK0),sK1))
| and_1 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( and_1
| ~ is_a_theorem(implies(and(sK1,sK0),sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f82,f86]) ).
fof(f86,plain,
( ? [X0,X1] : ~ is_a_theorem(implies(and(X1,X0),X1))
=> ~ is_a_theorem(implies(and(sK1,sK0),sK1)) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( and_1
| ? [X0,X1] : ~ is_a_theorem(implies(and(X1,X0),X1)) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
( ! [X1,X0] : is_a_theorem(implies(and(X1,X0),X1))
=> and_1 ),
inference(unused_predicate_definition_removal,[],[f66]) ).
fof(f66,plain,
( and_1
<=> ! [X1,X0] : is_a_theorem(implies(and(X1,X0),X1)) ),
inference(rectify,[],[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(f128,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f93,f126,f122]) ).
fof(f93,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ kn2 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
| ~ kn2 ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
( kn2
=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
inference(unused_predicate_definition_removal,[],[f67]) ).
fof(f67,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
<=> kn2 ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
( ! [X3,X4] : is_a_theorem(implies(and(X3,X4),X3))
<=> kn2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kn2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LCL506+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % 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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 02:14:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 % (27644)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.45 % (27636)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)
% 0.19/0.45 % (27644)First to succeed.
% 0.19/0.45 % (27636)Also succeeded, but the first one will report.
% 0.19/0.45 % (27644)Refutation found. Thanks to Tanya!
% 0.19/0.45 % SZS status Theorem for theBenchmark
% 0.19/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.45 % (27644)------------------------------
% 0.19/0.45 % (27644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45 % (27644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45 % (27644)Termination reason: Refutation
% 0.19/0.45
% 0.19/0.45 % (27644)Memory used [KB]: 5500
% 0.19/0.45 % (27644)Time elapsed: 0.052 s
% 0.19/0.45 % (27644)Instructions burned: 2 (million)
% 0.19/0.45 % (27644)------------------------------
% 0.19/0.45 % (27644)------------------------------
% 0.19/0.45 % (27617)Success in time 0.112 s
%------------------------------------------------------------------------------