TSTP Solution File: SYN412+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN412+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_uns --cores 0 -t %d %s
% Computer : n023.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 19:26:31 EDT 2022
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 1 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 62 ( 29 ~; 22 |; 4 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 18 ( 13 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,plain,
$false,
inference(avatar_sat_refutation,[],[f16,f20,f22,f26]) ).
fof(f26,plain,
( ~ spl1_1
| ~ spl1_3 ),
inference(avatar_contradiction_clause,[],[f25]) ).
fof(f25,plain,
( $false
| ~ spl1_1
| ~ spl1_3 ),
inference(unit_resulting_resolution,[],[f12,f19]) ).
fof(f19,plain,
( ! [X1] : ~ f(sK0,X1)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f18,plain,
( spl1_3
<=> ! [X1] : ~ f(sK0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f12,plain,
( f(sK0,sK0)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f10,plain,
( spl1_1
<=> f(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f22,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_contradiction_clause,[],[f21]) ).
fof(f21,plain,
( $false
| spl1_1
| ~ spl1_2 ),
inference(unit_resulting_resolution,[],[f11,f15]) ).
fof(f15,plain,
( ! [X1] : f(sK0,X1)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f14,plain,
( spl1_2
<=> ! [X1] : f(sK0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f11,plain,
( ~ f(sK0,sK0)
| spl1_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f20,plain,
( ~ spl1_1
| spl1_3 ),
inference(avatar_split_clause,[],[f7,f18,f10]) ).
fof(f7,plain,
! [X1] :
( ~ f(sK0,X1)
| ~ f(sK0,sK0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X1] :
( ( f(sK0,X1)
| f(sK0,sK0) )
& ( ~ f(sK0,sK0)
| ~ f(sK0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).
fof(f5,plain,
( ? [X0] :
! [X1] :
( ( f(X0,X1)
| f(X0,X0) )
& ( ~ f(X0,X0)
| ~ f(X0,X1) ) )
=> ! [X1] :
( ( f(sK0,X1)
| f(sK0,sK0) )
& ( ~ f(sK0,sK0)
| ~ f(sK0,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
? [X0] :
! [X1] :
( ( f(X0,X1)
| f(X0,X0) )
& ( ~ f(X0,X0)
| ~ f(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,plain,
? [X0] :
! [X1] :
( f(X0,X1)
<=> ~ f(X0,X0) ),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
! [X1] :
( f(X0,X1)
<=> ~ f(X0,X0) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
! [X1] :
( f(X0,X1)
<=> ~ f(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish255) ).
fof(f16,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f8,f14,f10]) ).
fof(f8,plain,
! [X1] :
( f(sK0,X1)
| f(sK0,sK0) ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN412+1 : TPTP v8.1.0. Released v2.0.0.
% 0.14/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 22:13:35 EDT 2022
% 0.21/0.36 % CPUTime :
% 0.21/0.46 % (846)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.46 % (854)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.46 % (854)First to succeed.
% 0.21/0.46 % (854)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Theorem for theBenchmark
% 0.21/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.46 % (854)------------------------------
% 0.21/0.46 % (854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.46 % (854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.46 % (854)Termination reason: Refutation
% 0.21/0.46
% 0.21/0.46 % (854)Memory used [KB]: 5884
% 0.21/0.46 % (854)Time elapsed: 0.062 s
% 0.21/0.46 % (854)Instructions burned: 1 (million)
% 0.21/0.46 % (854)------------------------------
% 0.21/0.46 % (854)------------------------------
% 0.21/0.46 % (840)Success in time 0.1 s
%------------------------------------------------------------------------------