TSTP Solution File: SWV405+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV405+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 : 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 18:56:44 EDT 2022
% Result : Theorem 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 36 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 11 ~; 6 |; 0 &)
% ( 5 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 26 ( 24 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f186,plain,
$false,
inference(avatar_sat_refutation,[],[f173,f181,f185]) ).
fof(f185,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f184]) ).
fof(f184,plain,
( $false
| ~ spl5_2 ),
inference(resolution,[],[f172,f109]) ).
fof(f109,plain,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f172,plain,
( pair_in_list(create_slb,sK3,sK2)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl5_2
<=> pair_in_list(create_slb,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f181,plain,
spl5_1,
inference(avatar_split_clause,[],[f180,f166]) ).
fof(f166,plain,
( spl5_1
<=> check_cpq(sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f180,plain,
check_cpq(sF4),
inference(superposition,[],[f150,f161]) ).
fof(f161,plain,
triple(sK1,create_slb,sK0) = sF4,
introduced(function_definition,[]) ).
fof(f150,plain,
! [X0,X1] : check_cpq(triple(X1,create_slb,X0)),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] : check_cpq(triple(X1,create_slb,X0)),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X1,X0] : check_cpq(triple(X0,create_slb,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f173,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f163,f170,f166]) ).
fof(f163,plain,
( pair_in_list(create_slb,sK3,sK2)
| ~ check_cpq(sF4) ),
inference(definition_folding,[],[f111,f161]) ).
fof(f111,plain,
( pair_in_list(create_slb,sK3,sK2)
| ~ check_cpq(triple(sK1,create_slb,sK0)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
? [X0,X1] :
( check_cpq(triple(X1,create_slb,X0))
<~> ! [X3,X2] :
( ~ pair_in_list(create_slb,X2,X3)
| less_than(X3,X2) ) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
~ ! [X0,X1] :
( ! [X3,X2] :
( pair_in_list(create_slb,X2,X3)
=> less_than(X3,X2) )
<=> check_cpq(triple(X1,create_slb,X0)) ),
inference(rectify,[],[f43]) ).
fof(f43,negated_conjecture,
~ ! [X1,X0] :
( check_cpq(triple(X0,create_slb,X1))
<=> ! [X3,X2] :
( pair_in_list(create_slb,X2,X3)
=> less_than(X3,X2) ) ),
inference(negated_conjecture,[],[f42]) ).
fof(f42,conjecture,
! [X1,X0] :
( check_cpq(triple(X0,create_slb,X1))
<=> ! [X3,X2] :
( pair_in_list(create_slb,X2,X3)
=> less_than(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l41_co) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV405+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 19:19:35 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.22/0.50 % (14686)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)
% 0.22/0.50 % (14686)First to succeed.
% 0.22/0.51 % (14689)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)
% 0.22/0.51 % (14686)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Theorem for theBenchmark
% 0.22/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51 % (14686)------------------------------
% 0.22/0.51 % (14686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.51 % (14686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.51 % (14686)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (14686)Memory used [KB]: 5500
% 0.22/0.51 % (14686)Time elapsed: 0.068 s
% 0.22/0.51 % (14686)Instructions burned: 4 (million)
% 0.22/0.51 % (14686)------------------------------
% 0.22/0.51 % (14686)------------------------------
% 0.22/0.51 % (14674)Success in time 0.148 s
%------------------------------------------------------------------------------