TSTP Solution File: SWV385+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV385+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n005.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 18:45:24 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 7 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 99 ( 50 ~; 27 |; 12 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 51 ( 39 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f152,plain,
$false,
inference(avatar_sat_refutation,[],[f125,f136,f151]) ).
fof(f151,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f150]) ).
fof(f150,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f139,f120]) ).
fof(f120,plain,
( ~ check_cpq(triple(sK2,sK1,sK0))
| spl3_1 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl3_1
<=> check_cpq(triple(sK2,sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f139,plain,
check_cpq(triple(sK2,sK1,sK0)),
inference(unit_resulting_resolution,[],[f100,f99,f106]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X2,X1)))
| check_cpq(triple(X0,X2,X1))
| ~ check_cpq(im_succ_cpq(triple(X0,X2,X1))) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ check_cpq(im_succ_cpq(triple(X0,X2,X1)))
| check_cpq(triple(X0,X2,X1))
| ~ ok(im_succ_cpq(triple(X0,X2,X1))) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X2,X1,X0] :
( ~ ok(im_succ_cpq(triple(X0,X2,X1)))
| ~ check_cpq(im_succ_cpq(triple(X0,X2,X1)))
| check_cpq(triple(X0,X2,X1)) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X2,X1,X0] :
( ~ check_cpq(triple(X0,X2,X1))
=> ( ~ ok(im_succ_cpq(triple(X0,X2,X1)))
| ~ check_cpq(im_succ_cpq(triple(X0,X2,X1))) ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X0,X2,X1] :
( ~ check_cpq(triple(X0,X1,X2))
=> ( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ~ ok(im_succ_cpq(triple(X0,X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l21_li2225) ).
fof(f99,plain,
ok(im_succ_cpq(triple(sK2,sK1,sK0))),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( ~ ok(triple(sK2,sK1,sK0))
| ~ check_cpq(triple(sK2,sK1,sK0)) )
& check_cpq(im_succ_cpq(triple(sK2,sK1,sK0)))
& ok(im_succ_cpq(triple(sK2,sK1,sK0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f81,f82]) ).
fof(f82,plain,
( ? [X0,X1,X2] :
( ( ~ ok(triple(X2,X1,X0))
| ~ check_cpq(triple(X2,X1,X0)) )
& check_cpq(im_succ_cpq(triple(X2,X1,X0)))
& ok(im_succ_cpq(triple(X2,X1,X0))) )
=> ( ( ~ ok(triple(sK2,sK1,sK0))
| ~ check_cpq(triple(sK2,sK1,sK0)) )
& check_cpq(im_succ_cpq(triple(sK2,sK1,sK0)))
& ok(im_succ_cpq(triple(sK2,sK1,sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
? [X0,X1,X2] :
( ( ~ ok(triple(X2,X1,X0))
| ~ check_cpq(triple(X2,X1,X0)) )
& check_cpq(im_succ_cpq(triple(X2,X1,X0)))
& ok(im_succ_cpq(triple(X2,X1,X0))) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
? [X0,X2,X1] :
( ( ~ ok(triple(X1,X2,X0))
| ~ check_cpq(triple(X1,X2,X0)) )
& check_cpq(im_succ_cpq(triple(X1,X2,X0)))
& ok(im_succ_cpq(triple(X1,X2,X0))) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
? [X1,X2,X0] :
( check_cpq(im_succ_cpq(triple(X1,X2,X0)))
& ok(im_succ_cpq(triple(X1,X2,X0)))
& ( ~ ok(triple(X1,X2,X0))
| ~ check_cpq(triple(X1,X2,X0)) ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
~ ! [X1,X2,X0] :
( ( ~ ok(triple(X1,X2,X0))
| ~ check_cpq(triple(X1,X2,X0)) )
=> ( ~ check_cpq(im_succ_cpq(triple(X1,X2,X0)))
| ~ ok(im_succ_cpq(triple(X1,X2,X0))) ) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X2,X0,X1] :
( ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) )
=> ( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ~ ok(im_succ_cpq(triple(X0,X1,X2))) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X2,X0,X1] :
( ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) )
=> ( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ~ ok(im_succ_cpq(triple(X0,X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l21_co) ).
fof(f100,plain,
check_cpq(im_succ_cpq(triple(sK2,sK1,sK0))),
inference(cnf_transformation,[],[f83]) ).
fof(f136,plain,
spl3_2,
inference(avatar_split_clause,[],[f133,f122]) ).
fof(f122,plain,
( spl3_2
<=> ok(triple(sK2,sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f133,plain,
ok(triple(sK2,sK1,sK0)),
inference(unit_resulting_resolution,[],[f99,f115]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X2,X1)))
| ok(triple(X0,X2,X1)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ok(triple(X0,X2,X1))
| ~ ok(im_succ_cpq(triple(X0,X2,X1))) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X1,X2,X0] :
( ok(triple(X1,X0,X2))
| ~ ok(im_succ_cpq(triple(X1,X0,X2))) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ ok(triple(X1,X0,X2))
=> ~ ok(im_succ_cpq(triple(X1,X0,X2))) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X1,X0,X2] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok(im_succ_cpq(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l21_li1316) ).
fof(f125,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f101,f122,f118]) ).
fof(f101,plain,
( ~ ok(triple(sK2,sK1,sK0))
| ~ check_cpq(triple(sK2,sK1,sK0)) ),
inference(cnf_transformation,[],[f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV385+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n005.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 19:20:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (2626)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (2616)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (2612)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)
% 0.20/0.51 % (2626)Instruction limit reached!
% 0.20/0.51 % (2626)------------------------------
% 0.20/0.51 % (2626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (2619)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)
% 0.20/0.51 % (2616)First to succeed.
% 0.20/0.51 % (2619)Also succeeded, but the first one will report.
% 0.20/0.51 % (2616)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 % (2616)------------------------------
% 0.20/0.51 % (2616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (2616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (2616)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (2616)Memory used [KB]: 6012
% 0.20/0.51 % (2616)Time elapsed: 0.102 s
% 0.20/0.51 % (2616)Instructions burned: 3 (million)
% 0.20/0.51 % (2616)------------------------------
% 0.20/0.51 % (2616)------------------------------
% 0.20/0.51 % (2608)Success in time 0.16 s
%------------------------------------------------------------------------------