TSTP Solution File: SYN058+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN058+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 : n012.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 19:36:43 EDT 2022
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 49 ( 6 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 111 ( 42 ~; 31 |; 19 &)
% ( 6 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 7 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 37 ( 25 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,plain,
$false,
inference(avatar_sat_refutation,[],[f34,f41,f48,f55,f57,f60,f62]) ).
fof(f62,plain,
( ~ spl3_2
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f61,plain,
( $false
| ~ spl3_2
| ~ spl3_4 ),
inference(resolution,[],[f40,f33]) ).
fof(f33,plain,
( big_s(sK2)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl3_2
<=> big_s(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f40,plain,
( ! [X0] : ~ big_s(X0)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl3_4
<=> ! [X0] : ~ big_s(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f60,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f58,f20]) ).
fof(f20,plain,
~ big_g(sK0),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( big_p(sK0)
& ~ big_g(sK0)
& big_f(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f14]) ).
fof(f14,plain,
( ? [X0] :
( big_p(X0)
& ~ big_g(X0)
& big_f(X0) )
=> ( big_p(sK0)
& ~ big_g(sK0)
& big_f(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0] :
( big_p(X0)
& ~ big_g(X0)
& big_f(X0) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
? [X0] :
( ~ big_g(X0)
& big_p(X0)
& big_f(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X0] :
( ( big_p(X0)
& big_f(X0) )
=> big_g(X0) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X0] :
( ( big_p(X0)
& big_f(X0) )
=> big_g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel28) ).
fof(f58,plain,
( big_g(sK0)
| ~ spl3_3 ),
inference(resolution,[],[f37,f19]) ).
fof(f19,plain,
big_f(sK0),
inference(cnf_transformation,[],[f15]) ).
fof(f37,plain,
( ! [X1] :
( ~ big_f(X1)
| big_g(X1) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl3_3
<=> ! [X1] :
( big_g(X1)
| ~ big_f(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f57,plain,
( spl3_1
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f56]) ).
fof(f56,plain,
( $false
| spl3_1
| ~ spl3_6 ),
inference(resolution,[],[f47,f29]) ).
fof(f29,plain,
( ~ big_q(sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f27,plain,
( spl3_1
<=> big_q(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f47,plain,
( ! [X1] : big_q(X1)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl3_6
<=> ! [X1] : big_q(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f55,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f54]) ).
fof(f54,plain,
( $false
| ~ spl3_5 ),
inference(resolution,[],[f44,f21]) ).
fof(f21,plain,
big_p(sK0),
inference(cnf_transformation,[],[f15]) ).
fof(f44,plain,
( ! [X0] : ~ big_p(X0)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl3_5
<=> ! [X0] : ~ big_p(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f48,plain,
( spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f25,f46,f43]) ).
fof(f25,plain,
! [X0,X1] :
( big_q(X1)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ! [X1] : big_q(X1)
| ~ big_p(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( big_p(X0)
=> ! [X1] : big_q(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel28_1) ).
fof(f41,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f22,f39,f36]) ).
fof(f22,plain,
! [X0,X1] :
( ~ big_s(X0)
| big_g(X1)
| ~ big_f(X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X0] : ~ big_s(X0)
| ! [X1] :
( ~ big_f(X1)
| big_g(X1) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
( ? [X0] : big_s(X0)
=> ! [X1] :
( big_f(X1)
=> big_g(X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
( ? [X0] : big_s(X0)
=> ! [X2] :
( big_f(X2)
=> big_g(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel28_3) ).
fof(f34,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f24,f31,f27]) ).
fof(f24,plain,
( big_s(sK2)
| ~ big_q(sK1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ~ big_q(sK1)
| ( big_s(sK2)
& big_q(sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f13,f17,f16]) ).
fof(f16,plain,
( ? [X0] : ~ big_q(X0)
=> ~ big_q(sK1) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X1] :
( big_s(X1)
& big_q(X1) )
=> ( big_s(sK2)
& big_q(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
( ? [X0] : ~ big_q(X0)
| ? [X1] :
( big_s(X1)
& big_q(X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
( ! [X0] : big_q(X0)
=> ? [X1] :
( big_s(X1)
& big_q(X1) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f6,plain,
( ! [X0] :
( big_r(X0)
| big_q(X0) )
=> ? [X1] :
( big_s(X1)
& big_q(X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
( ! [X0] :
( big_r(X0)
| big_q(X0) )
=> ? [X2] :
( big_q(X2)
& big_s(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel28_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.08 % Problem : SYN058+1 : TPTP v8.1.0. Released v2.0.0.
% 0.01/0.08 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.08/0.29 % Computer : n012.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue Aug 30 21:25:05 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.15/0.45 % (30742)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.46 % (30742)Instruction limit reached!
% 0.15/0.46 % (30742)------------------------------
% 0.15/0.46 % (30742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46 % (30742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.46 % (30742)Termination reason: Unknown
% 0.15/0.46 % (30742)Termination phase: Saturation
% 0.15/0.46
% 0.15/0.46 % (30742)Memory used [KB]: 5373
% 0.15/0.46 % (30742)Time elapsed: 0.004 s
% 0.15/0.46 % (30742)Instructions burned: 2 (million)
% 0.15/0.46 % (30742)------------------------------
% 0.15/0.46 % (30742)------------------------------
% 0.15/0.46 % (30741)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.15/0.47 % (30741)First to succeed.
% 0.15/0.47 % (30758)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.15/0.47 % (30750)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.15/0.47 % (30758)Also succeeded, but the first one will report.
% 0.15/0.47 % (30741)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (30741)------------------------------
% 0.15/0.47 % (30741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (30741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (30741)Termination reason: Refutation
% 0.15/0.47
% 0.15/0.47 % (30741)Memory used [KB]: 5373
% 0.15/0.47 % (30741)Time elapsed: 0.112 s
% 0.15/0.47 % (30741)Instructions burned: 2 (million)
% 0.15/0.47 % (30741)------------------------------
% 0.15/0.47 % (30741)------------------------------
% 0.15/0.47 % (30733)Success in time 0.165 s
%------------------------------------------------------------------------------