TSTP Solution File: SYN960+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN960+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n006.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 19:36:12 EDT 2022
% Result : Theorem 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 1 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 54 ( 23 ~; 19 |; 3 &)
% ( 6 <=>; 2 =>; 0 <=; 1 <~>)
% 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 : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 48 ( 20 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,plain,
$false,
inference(avatar_sat_refutation,[],[f20,f24,f26,f28]) ).
fof(f28,plain,
( ~ spl4_1
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f27]) ).
fof(f27,plain,
( $false
| ~ spl4_1
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f15,f23]) ).
fof(f23,plain,
( ! [X2,X3] : ~ a(X2,X3)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f22,plain,
( spl4_3
<=> ! [X2,X3] : ~ a(X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f15,plain,
( a(sK2,sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f13,plain,
( spl4_1
<=> a(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f26,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f25]) ).
fof(f25,plain,
( $false
| ~ spl4_2
| ~ spl4_3 ),
inference(unit_resulting_resolution,[],[f19,f23]) ).
fof(f19,plain,
( a(sK0,sK1)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f17,plain,
( spl4_2
<=> a(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f24,plain,
( spl4_3
| spl4_3 ),
inference(avatar_split_clause,[],[f11,f22,f22]) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( ~ a(X0,X1)
| ~ a(X2,X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( ! [X0,X1] : ~ a(X0,X1)
| ! [X2,X3] : ~ a(X2,X3) )
& ( a(sK0,sK1)
| a(sK2,sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X4,X5] : a(X4,X5)
=> a(sK0,sK1) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X6,X7] : a(X6,X7)
=> a(sK2,sK3) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ( ! [X0,X1] : ~ a(X0,X1)
| ! [X2,X3] : ~ a(X2,X3) )
& ( ? [X4,X5] : a(X4,X5)
| ? [X6,X7] : a(X6,X7) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ( ! [X1,X0] : ~ a(X1,X0)
| ! [X3,X2] : ~ a(X3,X2) )
& ( ? [X1,X0] : a(X1,X0)
| ? [X3,X2] : a(X3,X2) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
( ? [X3,X2] : a(X3,X2)
<~> ? [X1,X0] : a(X1,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ? [X3,X2] : a(X3,X2)
<=> ? [X1,X0] : a(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X1,X0] : a(X0,X1)
<=> ? [X1,X0] : a(X0,X1) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X1,X0] : a(X0,X1)
<=> ? [X1,X0] : a(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f20,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f10,f17,f13]) ).
fof(f10,plain,
( a(sK0,sK1)
| a(sK2,sK3) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SYN960+1 : TPTP v8.1.0. Released v3.1.0.
% 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.31 % Computer : n006.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Tue Aug 30 22:31:54 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.16/0.46 % (20806)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)
% 0.16/0.46 % (20807)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.46 % (20798)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)
% 0.16/0.47 % (20806)First to succeed.
% 0.16/0.47 % (20806)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Theorem for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (20806)------------------------------
% 0.16/0.47 % (20806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.47 % (20806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.47 % (20806)Termination reason: Refutation
% 0.16/0.47
% 0.16/0.47 % (20806)Memory used [KB]: 5884
% 0.16/0.47 % (20806)Time elapsed: 0.095 s
% 0.16/0.47 % (20806)Instructions burned: 2 (million)
% 0.16/0.47 % (20806)------------------------------
% 0.16/0.47 % (20806)------------------------------
% 0.16/0.47 % (20792)Success in time 0.15 s
%------------------------------------------------------------------------------