TSTP Solution File: SYN070+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN070+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n017.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 19:25:26 EDT 2022
% Result : Theorem 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 4 unt; 0 def)
% Number of atoms : 177 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 219 ( 91 ~; 80 |; 32 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 65 ( 56 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75,plain,
$false,
inference(avatar_sat_refutation,[],[f39,f48,f52,f61,f72]) ).
fof(f72,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f71]) ).
fof(f71,plain,
( $false
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f69,f19]) ).
fof(f19,plain,
big_f(sK0),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( ~ big_g(sK0)
& big_f(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f15]) ).
fof(f15,plain,
( ? [X0] :
( ~ big_g(X0)
& big_f(X0) )
=> ( ~ big_g(sK0)
& big_f(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
? [X0] :
( ~ big_g(X0)
& big_f(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X0] :
( big_f(X0)
=> big_g(X0) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X0] :
( big_f(X0)
=> big_g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46) ).
fof(f69,plain,
( ~ big_f(sK0)
| ~ spl2_1 ),
inference(resolution,[],[f30,f20]) ).
fof(f20,plain,
~ big_g(sK0),
inference(cnf_transformation,[],[f16]) ).
fof(f30,plain,
( ! [X0] :
( big_g(X0)
| ~ big_f(X0) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl2_1
<=> ! [X0] :
( ~ big_f(X0)
| big_g(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f61,plain,
( ~ spl2_3
| ~ spl2_5
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f60,plain,
( $false
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6 ),
inference(resolution,[],[f59,f54]) ).
fof(f54,plain,
( ! [X2] : big_j(sK1,X2)
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f53,f47]) ).
fof(f47,plain,
( ! [X1] : ~ big_g(X1)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl2_5
<=> ! [X1] : ~ big_g(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f53,plain,
( ! [X2] :
( big_g(X2)
| big_j(sK1,X2) )
| ~ spl2_3
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f38,f51]) ).
fof(f51,plain,
( ! [X1] : big_f(X1)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl2_6
<=> ! [X1] : big_f(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f38,plain,
( ! [X2] :
( ~ big_f(X2)
| big_j(sK1,X2)
| big_g(X2) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl2_3
<=> ! [X2] :
( big_j(sK1,X2)
| big_g(X2)
| ~ big_f(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f59,plain,
( ! [X0,X1] : ~ big_j(X0,X1)
| ~ spl2_5
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f58,f51]) ).
fof(f58,plain,
( ! [X0,X1] :
( ~ big_f(X0)
| ~ big_j(X0,X1) )
| ~ spl2_5
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f57,f47]) ).
fof(f57,plain,
( ! [X0,X1] :
( big_g(X0)
| ~ big_j(X0,X1)
| ~ big_f(X0) )
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f56,f51]) ).
fof(f56,plain,
! [X0,X1] :
( ~ big_j(X0,X1)
| big_g(X0)
| ~ big_f(X0)
| ~ big_f(X1) ),
inference(duplicate_literal_removal,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ big_f(X0)
| ~ big_f(X1)
| big_g(X0)
| ~ big_f(X0)
| ~ big_j(X0,X1) ),
inference(resolution,[],[f25,f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ big_h(X1,X0)
| ~ big_f(X0)
| ~ big_f(X1)
| ~ big_j(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ~ big_f(X0)
| ~ big_h(X1,X0)
| ~ big_f(X1)
| ~ big_j(X0,X1) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ~ big_j(X0,X1)
| ~ big_h(X1,X0)
| ~ big_f(X0)
| ~ big_f(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( ( big_h(X1,X0)
& big_f(X0)
& big_f(X1) )
=> ~ big_j(X0,X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ( big_f(X1)
& big_h(X0,X1)
& big_f(X0) )
=> ~ big_j(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_3) ).
fof(f25,plain,
! [X0,X1] :
( big_h(X1,X0)
| ~ big_f(X0)
| big_g(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( ~ big_f(X0)
| big_g(X0)
| ( big_f(X1)
& ~ big_g(X1)
& big_h(X1,X0) ) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
! [X1,X0] :
( big_g(X0)
| ~ big_f(X0)
| ( ~ big_g(X1)
& big_f(X1)
& big_h(X1,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ( big_f(X0)
& ( ( big_f(X1)
& big_h(X1,X0) )
=> big_g(X1) ) )
=> big_g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_1) ).
fof(f52,plain,
( spl2_6
| spl2_1 ),
inference(avatar_split_clause,[],[f27,f29,f50]) ).
fof(f27,plain,
! [X0,X1] :
( ~ big_f(X0)
| big_f(X1)
| big_g(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f48,plain,
( spl2_5
| spl2_1 ),
inference(avatar_split_clause,[],[f26,f29,f46]) ).
fof(f26,plain,
! [X0,X1] :
( ~ big_f(X0)
| ~ big_g(X1)
| big_g(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f39,plain,
( spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f23,f37,f29]) ).
fof(f23,plain,
! [X2,X0] :
( big_j(sK1,X2)
| ~ big_f(X2)
| big_g(X0)
| ~ big_f(X0)
| big_g(X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ! [X0] :
( big_g(X0)
| ~ big_f(X0) )
| ( ~ big_g(sK1)
& ! [X2] :
( big_g(X2)
| ~ big_f(X2)
| big_j(sK1,X2) )
& big_f(sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f12,f17]) ).
fof(f17,plain,
( ? [X1] :
( ~ big_g(X1)
& ! [X2] :
( big_g(X2)
| ~ big_f(X2)
| big_j(X1,X2) )
& big_f(X1) )
=> ( ~ big_g(sK1)
& ! [X2] :
( big_g(X2)
| ~ big_f(X2)
| big_j(sK1,X2) )
& big_f(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ! [X0] :
( big_g(X0)
| ~ big_f(X0) )
| ? [X1] :
( ~ big_g(X1)
& ! [X2] :
( big_g(X2)
| ~ big_f(X2)
| big_j(X1,X2) )
& big_f(X1) ) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
( ? [X1] :
( ~ big_g(X1)
& ! [X2] :
( big_j(X1,X2)
| big_g(X2)
| ~ big_f(X2) )
& big_f(X1) )
| ! [X0] :
( big_g(X0)
| ~ big_f(X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
( ? [X0] :
( big_f(X0)
& ~ big_g(X0) )
=> ? [X1] :
( ~ big_g(X1)
& ! [X2] :
( ( ~ big_g(X2)
& big_f(X2) )
=> big_j(X1,X2) )
& big_f(X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
( ? [X0] :
( big_f(X0)
& ~ big_g(X0) )
=> ? [X2] :
( ! [X1] :
( ( ~ big_g(X1)
& big_f(X1) )
=> big_j(X2,X1) )
& big_f(X2)
& ~ big_g(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN070+1 : TPTP v8.1.0. Released v2.0.0.
% 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
% 0.12/0.32 % Computer : n017.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 30 20:51:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.17/0.45 % (25124)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.47 % (25124)Refutation not found, incomplete strategy% (25124)------------------------------
% 0.17/0.47 % (25124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.47 % (25124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.47 % (25124)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.47
% 0.17/0.47 % (25124)Memory used [KB]: 5884
% 0.17/0.47 % (25124)Time elapsed: 0.098 s
% 0.17/0.47 % (25124)Instructions burned: 1 (million)
% 0.17/0.47 % (25124)------------------------------
% 0.17/0.47 % (25124)------------------------------
% 0.17/0.48 % (25145)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.17/0.48 % (25147)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.17/0.48 % (25147)First to succeed.
% 0.17/0.48 % (25137)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.48 % (25147)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Theorem for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (25147)------------------------------
% 0.17/0.48 % (25147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.48 % (25147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.48 % (25147)Termination reason: Refutation
% 0.17/0.48
% 0.17/0.48 % (25147)Memory used [KB]: 5884
% 0.17/0.48 % (25147)Time elapsed: 0.109 s
% 0.17/0.48 % (25147)Instructions burned: 2 (million)
% 0.17/0.48 % (25147)------------------------------
% 0.17/0.48 % (25147)------------------------------
% 0.17/0.48 % (25121)Success in time 0.148 s
%------------------------------------------------------------------------------