TSTP Solution File: SYN066+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN066+1 : TPTP v8.1.0. Bugfixed v3.0.0.
% 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 : n010.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 19:25:24 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 9 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 86 ( 34 ~; 25 |; 14 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 78 ( 50 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,plain,
$false,
inference(avatar_sat_refutation,[],[f33,f35,f46]) ).
fof(f46,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f45]) ).
fof(f45,plain,
( $false
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f40,f29]) ).
fof(f29,plain,
( ! [X0,X1] : ~ big_q(X0,X1)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl5_1
<=> ! [X0,X1] : ~ big_q(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f40,plain,
( ! [X0] : big_q(sK3(X0),sK1(X0))
| ~ spl5_1 ),
inference(unit_resulting_resolution,[],[f36,f24]) ).
fof(f24,plain,
! [X2,X0] :
( ~ big_p(sK2(X0,X2),sK1(X0))
| big_q(sK3(X0),sK1(X0)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X2] :
( ( ~ big_p(sK2(X0,X2),sK1(X0))
| big_q(sK3(X0),sK1(X0)) )
& ( ~ big_p(X2,X0)
| big_p(sK2(X0,X2),sK1(X0)) )
& big_p(sK2(X0,X2),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f12,f17,f16,f15]) ).
fof(f15,plain,
! [X0] :
( ? [X1] :
! [X2] :
? [X3] :
( ( ~ big_p(X3,X1)
| ? [X4] : big_q(X4,X1) )
& ( ~ big_p(X2,X0)
| big_p(X3,X1) )
& big_p(X3,X0) )
=> ! [X2] :
? [X3] :
( ( ~ big_p(X3,sK1(X0))
| ? [X4] : big_q(X4,sK1(X0)) )
& ( ~ big_p(X2,X0)
| big_p(X3,sK1(X0)) )
& big_p(X3,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0,X2] :
( ? [X3] :
( ( ~ big_p(X3,sK1(X0))
| ? [X4] : big_q(X4,sK1(X0)) )
& ( ~ big_p(X2,X0)
| big_p(X3,sK1(X0)) )
& big_p(X3,X0) )
=> ( ( ~ big_p(sK2(X0,X2),sK1(X0))
| ? [X4] : big_q(X4,sK1(X0)) )
& ( ~ big_p(X2,X0)
| big_p(sK2(X0,X2),sK1(X0)) )
& big_p(sK2(X0,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
( ? [X4] : big_q(X4,sK1(X0))
=> big_q(sK3(X0),sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X0] :
? [X1] :
! [X2] :
? [X3] :
( ( ~ big_p(X3,X1)
| ? [X4] : big_q(X4,X1) )
& ( ~ big_p(X2,X0)
| big_p(X3,X1) )
& big_p(X3,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
? [X1] :
! [X2] :
? [X3] :
( ( big_p(X3,X1)
=> ? [X4] : big_q(X4,X1) )
& big_p(X3,X0)
& ( big_p(X2,X0)
=> big_p(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel37_1) ).
fof(f36,plain,
( ! [X0,X1] : big_p(X0,X1)
| ~ spl5_1 ),
inference(unit_resulting_resolution,[],[f29,f21]) ).
fof(f21,plain,
! [X0,X1] :
( big_q(sK0(X1),X1)
| big_p(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( big_p(X0,X1)
| big_q(sK0(X1),X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f10,f13]) ).
fof(f13,plain,
! [X1] :
( ? [X2] : big_q(X2,X1)
=> big_q(sK0(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
! [X0,X1] :
( big_p(X0,X1)
| ? [X2] : big_q(X2,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
! [X1,X0] :
( ~ big_p(X0,X1)
=> ? [X2] : big_q(X2,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X0] :
( ~ big_p(X2,X0)
=> ? [X3] : big_q(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel37_2) ).
fof(f35,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f34]) ).
fof(f34,plain,
( $false
| ~ spl5_2 ),
inference(unit_resulting_resolution,[],[f26,f32]) ).
fof(f32,plain,
( ! [X2] : big_r(X2,X2)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl5_2
<=> ! [X2] : big_r(X2,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f26,plain,
! [X1] : ~ big_r(sK4,X1),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1] : ~ big_r(sK4,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f11,f19]) ).
fof(f19,plain,
( ? [X0] :
! [X1] : ~ big_r(X0,X1)
=> ! [X1] : ~ big_r(sK4,X1) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0] :
! [X1] : ~ big_r(X0,X1),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
~ ! [X0] :
? [X1] : big_r(X0,X1),
inference(rectify,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X2] :
? [X3] : big_r(X2,X3),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X2] :
? [X3] : big_r(X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel37) ).
fof(f33,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f25,f31,f28]) ).
fof(f25,plain,
! [X2,X0,X1] :
( big_r(X2,X2)
| ~ big_q(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X0,X1] : ~ big_q(X0,X1)
| ! [X2] : big_r(X2,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
( ? [X1,X0] : big_q(X0,X1)
=> ! [X2] : big_r(X2,X2) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
( ? [X2,X3] : big_q(X2,X3)
=> ! [X0] : big_r(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel37_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN066+1 : TPTP v8.1.0. Bugfixed v3.0.0.
% 0.06/0.13 % 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 : n010.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 21:19:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (2169)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (2169)First to succeed.
% 0.20/0.50 % (2176)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (2169)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (2169)------------------------------
% 0.20/0.50 % (2169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (2169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (2169)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (2169)Memory used [KB]: 5884
% 0.20/0.50 % (2169)Time elapsed: 0.096 s
% 0.20/0.50 % (2169)Instructions burned: 2 (million)
% 0.20/0.50 % (2169)------------------------------
% 0.20/0.50 % (2169)------------------------------
% 0.20/0.50 % (2157)Success in time 0.155 s
%------------------------------------------------------------------------------