TSTP Solution File: SYN409+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN409+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 : n002.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 19:37:49 EDT 2022
% Result : Theorem 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 1 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 83 ( 33 ~; 30 |; 10 &)
% ( 7 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 34 ( 25 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,plain,
$false,
inference(avatar_sat_refutation,[],[f17,f30,f32,f34,f36]) ).
fof(f36,plain,
( ~ spl3_1
| spl3_3 ),
inference(avatar_contradiction_clause,[],[f35]) ).
fof(f35,plain,
( $false
| ~ spl3_1
| spl3_3 ),
inference(subsumption_resolution,[],[f25,f15]) ).
fof(f15,plain,
( ! [X5] : f(X5)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f14,plain,
( spl3_1
<=> ! [X5] : f(X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f25,plain,
( ~ f(sK2)
| spl3_3 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f23,plain,
( spl3_3
<=> f(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f34,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_contradiction_clause,[],[f33]) ).
fof(f33,plain,
( $false
| ~ spl3_1
| spl3_2 ),
inference(subsumption_resolution,[],[f21,f15]) ).
fof(f21,plain,
( ~ f(sK0)
| spl3_2 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f19,plain,
( spl3_2
<=> f(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f32,plain,
( ~ spl3_1
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f31]) ).
fof(f31,plain,
( $false
| ~ spl3_1
| spl3_4 ),
inference(unit_resulting_resolution,[],[f15,f29]) ).
fof(f29,plain,
( ~ f(sK1)
| spl3_4 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f27,plain,
( spl3_4
<=> f(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f30,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f12,f27,f23,f19]) ).
fof(f12,plain,
( ~ f(sK1)
| ~ f(sK2)
| ~ f(sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( ~ f(sK0)
| ~ f(sK2)
| ~ f(sK1) )
& ( ! [X3] : f(X3)
| ! [X4,X5] :
( f(X5)
& f(X4) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0] : ~ f(X0)
=> ~ f(sK0) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X1,X2] :
( ~ f(X2)
| ~ f(X1) )
=> ( ~ f(sK2)
| ~ f(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ( ? [X0] : ~ f(X0)
| ? [X1,X2] :
( ~ f(X2)
| ~ f(X1) ) )
& ( ! [X3] : f(X3)
| ! [X4,X5] :
( f(X5)
& f(X4) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ( ? [X2] : ~ f(X2)
| ? [X1,X0] :
( ~ f(X0)
| ~ f(X1) ) )
& ( ! [X2] : f(X2)
| ! [X1,X0] :
( f(X0)
& f(X1) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
( ! [X1,X0] :
( f(X0)
& f(X1) )
<~> ! [X2] : f(X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ! [X2] : f(X2)
<=> ! [X1,X0] :
( f(X0)
& f(X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X1,X2] :
( f(X1)
& f(X2) )
<=> ! [X0] : f(X0) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X1,X2] :
( f(X1)
& f(X2) )
<=> ! [X0] : f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish246) ).
fof(f17,plain,
( spl3_1
| spl3_1 ),
inference(avatar_split_clause,[],[f10,f14,f14]) ).
fof(f10,plain,
! [X3,X4] :
( f(X3)
| f(X4) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN409+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_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 22:04:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.17/0.48 % (13146)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.17/0.49 % (13148)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.17/0.50 % (13156)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.17/0.50 % (13140)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.17/0.50 % (13140)First to succeed.
% 0.17/0.50 % (13140)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Theorem for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (13140)------------------------------
% 0.17/0.50 % (13140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (13140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (13140)Termination reason: Refutation
% 0.17/0.50
% 0.17/0.50 % (13140)Memory used [KB]: 5373
% 0.17/0.50 % (13140)Time elapsed: 0.102 s
% 0.17/0.50 % (13140)Instructions burned: 1 (million)
% 0.17/0.50 % (13140)------------------------------
% 0.17/0.50 % (13140)------------------------------
% 0.17/0.50 % (13138)Success in time 0.164 s
%------------------------------------------------------------------------------