TSTP Solution File: SYN398+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN398+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 : n007.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 19:37:47 EDT 2022
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 2 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 112 ( 44 ~; 40 |; 18 &)
% ( 7 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 7 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 29 ( 21 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,plain,
$false,
inference(avatar_sat_refutation,[],[f26,f27,f37,f39,f41]) ).
fof(f41,plain,
( ~ spl3_2
| spl3_3 ),
inference(avatar_contradiction_clause,[],[f40]) ).
fof(f40,plain,
( $false
| ~ spl3_2
| spl3_3 ),
inference(subsumption_resolution,[],[f32,f25]) ).
fof(f25,plain,
( ! [X3] : f(X3)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl3_2
<=> ! [X3] : f(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f32,plain,
( ~ f(sK1)
| spl3_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl3_3
<=> f(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f39,plain,
( ~ spl3_2
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f38]) ).
fof(f38,plain,
( $false
| ~ spl3_2
| spl3_4 ),
inference(subsumption_resolution,[],[f36,f25]) ).
fof(f36,plain,
( ~ f(sK0)
| spl3_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl3_4
<=> f(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f37,plain,
( ~ spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f28,f34,f30]) ).
fof(f28,plain,
( ~ f(sK0)
| ~ f(sK1) ),
inference(subsumption_resolution,[],[f17,f18]) ).
fof(f18,plain,
p,
inference(duplicate_literal_removal,[],[f12]) ).
fof(f12,plain,
( p
| p ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( ~ p
| ~ f(sK0)
| ~ f(sK1)
| ~ p )
& ( ( p
& ! [X2] : f(X2) )
| ! [X3] :
( f(X3)
& p ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0] : ~ f(X0)
=> ~ f(sK0) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X1] :
( ~ f(X1)
| ~ p )
=> ( ~ f(sK1)
| ~ p ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ( ~ p
| ? [X0] : ~ f(X0)
| ? [X1] :
( ~ f(X1)
| ~ p ) )
& ( ( p
& ! [X2] : f(X2) )
| ! [X3] :
( f(X3)
& p ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ( ~ p
| ? [X1] : ~ f(X1)
| ? [X0] :
( ~ f(X0)
| ~ p ) )
& ( ( p
& ! [X1] : f(X1) )
| ! [X0] :
( f(X0)
& p ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ( ~ p
| ? [X1] : ~ f(X1)
| ? [X0] :
( ~ f(X0)
| ~ p ) )
& ( ( p
& ! [X1] : f(X1) )
| ! [X0] :
( f(X0)
& p ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,plain,
( ! [X0] :
( f(X0)
& p )
<~> ( p
& ! [X1] : f(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( f(X0)
& p )
<=> ( p
& ! [X1] : f(X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] :
( f(X0)
& p )
<=> ( p
& ! [X1] : f(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish215) ).
fof(f17,plain,
( ~ f(sK1)
| ~ p
| ~ f(sK0) ),
inference(duplicate_literal_removal,[],[f14]) ).
fof(f14,plain,
( ~ f(sK0)
| ~ f(sK1)
| ~ p
| ~ p ),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f15,f24,f20]) ).
fof(f20,plain,
( spl3_1
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f15,plain,
! [X2] :
( f(X2)
| sP2 ),
inference(cnf_transformation,[],[f15_D]) ).
fof(f15_D,plain,
( ! [X2] : f(X2)
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f26,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f16,f24,f20]) ).
fof(f16,plain,
! [X3] :
( f(X3)
| ~ sP2 ),
inference(general_splitting,[],[f11,f15_D]) ).
fof(f11,plain,
! [X2,X3] :
( f(X2)
| f(X3) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN398+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 : n007.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 21:36:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.48 % (31198)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.49 % (31215)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.21/0.49 % (31211)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.21/0.49 % (31198)Instruction limit reached!
% 0.21/0.49 % (31198)------------------------------
% 0.21/0.49 % (31198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (31198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (31198)Termination reason: Unknown
% 0.21/0.49 % (31198)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (31198)Memory used [KB]: 5373
% 0.21/0.49 % (31198)Time elapsed: 0.098 s
% 0.21/0.49 % (31198)Instructions burned: 2 (million)
% 0.21/0.49 % (31198)------------------------------
% 0.21/0.49 % (31198)------------------------------
% 0.21/0.49 % (31211)First to succeed.
% 0.21/0.49 % (31203)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.21/0.50 % (31211)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (31211)------------------------------
% 0.21/0.50 % (31211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (31211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (31211)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (31211)Memory used [KB]: 5373
% 0.21/0.50 % (31211)Time elapsed: 0.005 s
% 0.21/0.50 % (31211)Instructions burned: 1 (million)
% 0.21/0.50 % (31211)------------------------------
% 0.21/0.50 % (31211)------------------------------
% 0.21/0.50 % (31189)Success in time 0.146 s
%------------------------------------------------------------------------------