TSTP Solution File: SYN069+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN069+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_sat --cores 0 -t %d %s
% Computer : n021.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 19:36:47 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 57 ( 6 unt; 0 def)
% Number of atoms : 184 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 201 ( 74 ~; 62 |; 52 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 64 ( 46 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83,plain,
$false,
inference(avatar_sat_refutation,[],[f46,f52,f76,f79,f82]) ).
fof(f82,plain,
( ~ spl4_1
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f81]) ).
fof(f81,plain,
( $false
| ~ spl4_1
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f80,f53]) ).
fof(f53,plain,
( sP0(sK1)
| ~ spl4_1 ),
inference(resolution,[],[f38,f26]) ).
fof(f26,plain,
big_f(sK1),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ! [X1] :
( ~ big_h(sK1,X1)
| big_j(sK1,X1)
| ~ big_g(X1) )
& big_f(sK1)
& ! [X2] :
( ~ big_h(sK1,X2)
| big_l(X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f11,f16]) ).
fof(f16,plain,
( ? [X0] :
( ! [X1] :
( ~ big_h(X0,X1)
| big_j(X0,X1)
| ~ big_g(X1) )
& big_f(X0)
& ! [X2] :
( ~ big_h(X0,X2)
| big_l(X2) ) )
=> ( ! [X1] :
( ~ big_h(sK1,X1)
| big_j(sK1,X1)
| ~ big_g(X1) )
& big_f(sK1)
& ! [X2] :
( ~ big_h(sK1,X2)
| big_l(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0] :
( ! [X1] :
( ~ big_h(X0,X1)
| big_j(X0,X1)
| ~ big_g(X1) )
& big_f(X0)
& ! [X2] :
( ~ big_h(X0,X2)
| big_l(X2) ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
? [X0] :
( ! [X2] :
( ~ big_h(X0,X2)
| big_l(X2) )
& ! [X1] :
( big_j(X0,X1)
| ~ big_h(X0,X1)
| ~ big_g(X1) )
& big_f(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ! [X2] :
( big_h(X0,X2)
=> big_l(X2) )
& ! [X1] :
( ( big_h(X0,X1)
& big_g(X1) )
=> big_j(X0,X1) )
& big_f(X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
? [X0] :
( ! [X2] :
( ( big_h(X0,X2)
& big_g(X2) )
=> big_j(X0,X2) )
& ! [X1] :
( big_h(X0,X1)
=> big_l(X1) )
& big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_3) ).
fof(f38,plain,
( ! [X0] :
( ~ big_f(X0)
| sP0(X0) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl4_1
<=> ! [X0] :
( ~ big_f(X0)
| sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f80,plain,
( ~ sP0(sK1)
| ~ spl4_4 ),
inference(resolution,[],[f71,f30]) ).
fof(f30,plain,
! [X0] :
( ~ big_j(X0,sK3(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ( big_g(sK3(X0))
& big_h(X0,sK3(X0))
& ~ big_j(X0,sK3(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f20,f21]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( big_g(X1)
& big_h(X0,X1)
& ~ big_j(X0,X1) )
=> ( big_g(sK3(X0))
& big_h(X0,sK3(X0))
& ~ big_j(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0] :
( ? [X1] :
( big_g(X1)
& big_h(X0,X1)
& ~ big_j(X0,X1) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ? [X1] :
( big_g(X1)
& big_h(X0,X1)
& ~ big_j(X0,X1) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f71,plain,
( big_j(sK1,sK3(sK1))
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl4_4
<=> big_j(sK1,sK3(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f79,plain,
( ~ spl4_1
| spl4_5 ),
inference(avatar_contradiction_clause,[],[f78]) ).
fof(f78,plain,
( $false
| ~ spl4_1
| spl4_5 ),
inference(subsumption_resolution,[],[f77,f53]) ).
fof(f77,plain,
( ~ sP0(sK1)
| spl4_5 ),
inference(resolution,[],[f75,f32]) ).
fof(f32,plain,
! [X0] :
( big_g(sK3(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f75,plain,
( ~ big_g(sK3(sK1))
| spl4_5 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl4_5
<=> big_g(sK3(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f76,plain,
( spl4_4
| ~ spl4_5
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f67,f37,f73,f69]) ).
fof(f67,plain,
( ~ big_g(sK3(sK1))
| big_j(sK1,sK3(sK1))
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f57,f53]) ).
fof(f57,plain,
( ~ sP0(sK1)
| big_j(sK1,sK3(sK1))
| ~ big_g(sK3(sK1)) ),
inference(resolution,[],[f31,f27]) ).
fof(f27,plain,
! [X1] :
( ~ big_h(sK1,X1)
| ~ big_g(X1)
| big_j(sK1,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
! [X0] :
( big_h(X0,sK3(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f52,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f51]) ).
fof(f51,plain,
( $false
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f50,f45]) ).
fof(f45,plain,
( ! [X1] : big_k(X1)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl4_3
<=> ! [X1] : big_k(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f50,plain,
~ big_k(sK2(sK1)),
inference(resolution,[],[f49,f24]) ).
fof(f24,plain,
! [X0] :
( ~ big_l(X0)
| ~ big_k(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ~ big_l(X0)
| ~ big_k(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
~ ? [X0] :
( big_l(X0)
& big_k(X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
~ ? [X1] :
( big_k(X1)
& big_l(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_2) ).
fof(f49,plain,
big_l(sK2(sK1)),
inference(resolution,[],[f25,f47]) ).
fof(f47,plain,
big_h(sK1,sK2(sK1)),
inference(resolution,[],[f26,f29]) ).
fof(f29,plain,
! [X0] :
( ~ big_f(X0)
| big_h(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ~ big_f(X0)
| ( big_h(X0,sK2(X0))
& big_g(sK2(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f13,f18]) ).
fof(f18,plain,
! [X0] :
( ? [X1] :
( big_h(X0,X1)
& big_g(X1) )
=> ( big_h(X0,sK2(X0))
& big_g(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X0] :
( ~ big_f(X0)
| ? [X1] :
( big_h(X0,X1)
& big_g(X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ? [X0] :
( ~ ? [X1] :
( big_h(X0,X1)
& big_g(X1) )
& big_f(X0) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
? [X0] :
( ~ ? [X1] :
( big_h(X0,X1)
& big_g(X1) )
& big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45) ).
fof(f25,plain,
! [X2] :
( ~ big_h(sK1,X2)
| big_l(X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f46,plain,
( spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f33,f44,f37]) ).
fof(f33,plain,
! [X0,X1] :
( big_k(X1)
| sP0(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ~ big_f(X0)
| ! [X1] :
( big_g(X1)
& big_h(X0,X1)
& big_k(X1) )
| sP0(X0) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ~ big_f(X0)
| ! [X2] :
( big_g(X2)
& big_h(X0,X2)
& big_k(X2) )
| sP0(X0) ),
inference(definition_folding,[],[f9,f14]) ).
fof(f9,plain,
! [X0] :
( ~ big_f(X0)
| ! [X2] :
( big_g(X2)
& big_h(X0,X2)
& big_k(X2) )
| ? [X1] :
( big_g(X1)
& big_h(X0,X1)
& ~ big_j(X0,X1) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
! [X0] :
( ! [X2] :
( big_g(X2)
& big_h(X0,X2)
& big_k(X2) )
| ~ big_f(X0)
| ? [X1] :
( ~ big_j(X0,X1)
& big_g(X1)
& big_h(X0,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ( big_f(X0)
& ! [X1] :
( ( big_g(X1)
& big_h(X0,X1) )
=> big_j(X0,X1) ) )
=> ! [X2] :
( big_g(X2)
& big_h(X0,X2)
& big_k(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN069+1 : TPTP v8.1.0. Released v2.0.0.
% 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
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 21:24:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (7692)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.45 % (7700)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.19/0.45 % (7700)First to succeed.
% 0.19/0.46 % (7700)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Theorem for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (7700)------------------------------
% 0.19/0.46 % (7700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (7700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (7700)Termination reason: Refutation
% 0.19/0.46
% 0.19/0.46 % (7700)Memory used [KB]: 5373
% 0.19/0.46 % (7700)Time elapsed: 0.063 s
% 0.19/0.46 % (7700)Instructions burned: 2 (million)
% 0.19/0.46 % (7700)------------------------------
% 0.19/0.46 % (7700)------------------------------
% 0.19/0.46 % (7678)Success in time 0.11 s
%------------------------------------------------------------------------------