TSTP Solution File: SYN318+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN318+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 : n027.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 19:26:10 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 74 ( 28 ~; 16 |; 8 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 31 ( 24 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,plain,
$false,
inference(avatar_sat_refutation,[],[f18,f20,f22]) ).
fof(f22,plain,
( spl1_2
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f21,f13,f16]) ).
fof(f16,plain,
( spl1_2
<=> ! [X0] : ~ big_f(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f13,plain,
( spl1_1
<=> ! [X1] :
( ~ big_f(X1)
| big_g(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f21,plain,
( ! [X1] : ~ big_f(X1)
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f14,f10]) ).
fof(f10,plain,
! [X0] : ~ big_g(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] :
( ! [X1] :
( ~ big_f(X0)
| ~ big_f(X1)
| big_g(X1) )
& ~ big_g(X0)
& big_f(sK0(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
fof(f7,plain,
! [X0] :
( ? [X2] :
( ~ big_g(X0)
& big_f(X2) )
=> ( ~ big_g(X0)
& big_f(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
! [X0] :
( ! [X1] :
( ~ big_f(X0)
| ~ big_f(X1)
| big_g(X1) )
& ? [X2] :
( ~ big_g(X0)
& big_f(X2) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
! [X0] :
( ? [X2] :
( ~ big_g(X0)
& big_f(X2) )
& ! [X1] :
( big_g(X1)
| ~ big_f(X0)
| ~ big_f(X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
~ ? [X0] :
( ! [X1] :
( big_f(X1)
=> ( big_f(X0)
=> big_g(X1) ) )
=> ! [X2] :
( big_f(X2)
=> big_g(X0) ) ),
inference(pure_predicate_removal,[],[f3]) ).
fof(f3,plain,
~ ? [X0] :
( ! [X1] :
( big_f(X1)
=> ( big_f(X0)
=> big_g(X1) ) )
=> ( p
=> ! [X2] :
( big_f(X2)
=> big_g(X0) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0] :
( ! [X1] :
( big_f(X1)
=> ( big_f(X0)
=> big_g(X1) ) )
=> ( p
=> ! [X1] :
( big_f(X1)
=> big_g(X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0] :
( ! [X1] :
( big_f(X1)
=> ( big_f(X0)
=> big_g(X1) ) )
=> ( p
=> ! [X1] :
( big_f(X1)
=> big_g(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_2_4) ).
fof(f14,plain,
( ! [X1] :
( ~ big_f(X1)
| big_g(X1) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f20,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f19]) ).
fof(f19,plain,
( $false
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f9,f17]) ).
fof(f17,plain,
( ! [X0] : ~ big_f(X0)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f9,plain,
! [X0] : big_f(sK0(X0)),
inference(cnf_transformation,[],[f8]) ).
fof(f18,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f11,f16,f13]) ).
fof(f11,plain,
! [X0,X1] :
( ~ big_f(X0)
| ~ big_f(X1)
| big_g(X1) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN318+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n027.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 21:57:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (26002)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (26000)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50 % (25999)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.50 % (26009)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.50 % (26024)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.51 % (26008)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (25999)First to succeed.
% 0.20/0.51 % (26017)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (25999)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (25999)------------------------------
% 0.20/0.51 % (25999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (25999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (25999)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (25999)Memory used [KB]: 5884
% 0.20/0.51 % (25999)Time elapsed: 0.104 s
% 0.20/0.51 % (25999)Instructions burned: 1 (million)
% 0.20/0.51 % (25999)------------------------------
% 0.20/0.51 % (25999)------------------------------
% 0.20/0.51 % (25998)Success in time 0.163 s
%------------------------------------------------------------------------------