TSTP Solution File: SYO580+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYO580+1 : TPTP v8.1.0. Released v5.5.0.
% 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 : n014.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 19:47:46 EDT 2022
% Result : Theorem 0.17s 0.56s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 4 unt; 0 def)
% Number of atoms : 175 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 205 ( 68 ~; 57 |; 57 &)
% ( 6 <=>; 16 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 55 ( 29 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f982,plain,
$false,
inference(avatar_sat_refutation,[],[f948,f954,f977,f981]) ).
fof(f981,plain,
( ~ spl9_1
| spl9_3 ),
inference(avatar_contradiction_clause,[],[f980]) ).
fof(f980,plain,
( $false
| ~ spl9_1
| spl9_3 ),
inference(subsumption_resolution,[],[f978,f953]) ).
fof(f953,plain,
( ~ k04_buttercup10303(sK3)
| spl9_3 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f951,plain,
( spl9_3
<=> k04_buttercup10303(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f978,plain,
( k04_buttercup10303(sK3)
| ~ spl9_1 ),
inference(unit_resulting_resolution,[],[f944,f934]) ).
fof(f934,plain,
! [X1] :
( ~ b48_buttercup10305(X1)
| k04_buttercup10303(X1) ),
inference(cnf_transformation,[],[f916]) ).
fof(f916,plain,
( k04_buttercup10303(sK5)
& ~ b48_buttercup10305(sK5)
& ! [X1] :
( ~ b48_buttercup10305(X1)
| k04_buttercup10303(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f904,f915]) ).
fof(f915,plain,
( ? [X0] :
( k04_buttercup10303(X0)
& ~ b48_buttercup10305(X0) )
=> ( k04_buttercup10303(sK5)
& ~ b48_buttercup10305(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f904,plain,
( ? [X0] :
( k04_buttercup10303(X0)
& ~ b48_buttercup10305(X0) )
& ! [X1] :
( ~ b48_buttercup10305(X1)
| k04_buttercup10303(X1) ) ),
inference(ennf_transformation,[],[f889]) ).
fof(f889,plain,
( ! [X1] :
( b48_buttercup10305(X1)
=> k04_buttercup10303(X1) )
& ? [X0] :
( k04_buttercup10303(X0)
& ~ b48_buttercup10305(X0) ) ),
inference(rectify,[],[f320]) ).
fof(f320,axiom,
( ? [X320] :
( ~ b48_buttercup10305(X320)
& k04_buttercup10303(X320) )
& ! [X319] :
( b48_buttercup10305(X319)
=> k04_buttercup10303(X319) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_320) ).
fof(f944,plain,
( b48_buttercup10305(sK3)
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f942,plain,
( spl9_1
<=> b48_buttercup10305(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f977,plain,
~ spl9_2,
inference(avatar_contradiction_clause,[],[f976]) ).
fof(f976,plain,
( $false
| ~ spl9_2 ),
inference(subsumption_resolution,[],[f962,f955]) ).
fof(f955,plain,
~ b48_buttercup10305(sK4),
inference(subsumption_resolution,[],[f926,f949]) ).
fof(f949,plain,
k04_buttercup10303(sK4),
inference(subsumption_resolution,[],[f925,f934]) ).
fof(f925,plain,
( b48_buttercup10305(sK4)
| k04_buttercup10303(sK4) ),
inference(cnf_transformation,[],[f914]) ).
fof(f914,plain,
( ( ! [X0] :
( k04_buttercup10303(X0)
| ~ b48_buttercup10305(X0) )
| ( ~ b48_buttercup10305(sK1)
& k04_buttercup10303(sK1) ) )
& b48_buttercup10305(sK2)
& k04_buttercup10303(sK2)
& ( ! [X3] :
( ~ k04_buttercup10303(X3)
| b48_buttercup10305(X3) )
| ( b48_buttercup10305(sK3)
& ~ k04_buttercup10303(sK3) ) )
& ( ~ b48_buttercup10305(sK4)
| ~ k04_buttercup10303(sK4) )
& ( b48_buttercup10305(sK4)
| k04_buttercup10303(sK4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f909,f913,f912,f911,f910]) ).
fof(f910,plain,
( ? [X1] :
( ~ b48_buttercup10305(X1)
& k04_buttercup10303(X1) )
=> ( ~ b48_buttercup10305(sK1)
& k04_buttercup10303(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f911,plain,
( ? [X2] :
( b48_buttercup10305(X2)
& k04_buttercup10303(X2) )
=> ( b48_buttercup10305(sK2)
& k04_buttercup10303(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f912,plain,
( ? [X4] :
( b48_buttercup10305(X4)
& ~ k04_buttercup10303(X4) )
=> ( b48_buttercup10305(sK3)
& ~ k04_buttercup10303(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f913,plain,
( ? [X5] :
( ( ~ b48_buttercup10305(X5)
| ~ k04_buttercup10303(X5) )
& ( b48_buttercup10305(X5)
| k04_buttercup10303(X5) ) )
=> ( ( ~ b48_buttercup10305(sK4)
| ~ k04_buttercup10303(sK4) )
& ( b48_buttercup10305(sK4)
| k04_buttercup10303(sK4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f909,plain,
( ( ! [X0] :
( k04_buttercup10303(X0)
| ~ b48_buttercup10305(X0) )
| ? [X1] :
( ~ b48_buttercup10305(X1)
& k04_buttercup10303(X1) ) )
& ? [X2] :
( b48_buttercup10305(X2)
& k04_buttercup10303(X2) )
& ( ! [X3] :
( ~ k04_buttercup10303(X3)
| b48_buttercup10305(X3) )
| ? [X4] :
( b48_buttercup10305(X4)
& ~ k04_buttercup10303(X4) ) )
& ? [X5] :
( ( ~ b48_buttercup10305(X5)
| ~ k04_buttercup10303(X5) )
& ( b48_buttercup10305(X5)
| k04_buttercup10303(X5) ) ) ),
inference(rectify,[],[f908]) ).
fof(f908,plain,
( ( ! [X3] :
( k04_buttercup10303(X3)
| ~ b48_buttercup10305(X3) )
| ? [X2] :
( ~ b48_buttercup10305(X2)
& k04_buttercup10303(X2) ) )
& ? [X4] :
( b48_buttercup10305(X4)
& k04_buttercup10303(X4) )
& ( ! [X1] :
( ~ k04_buttercup10303(X1)
| b48_buttercup10305(X1) )
| ? [X0] :
( b48_buttercup10305(X0)
& ~ k04_buttercup10303(X0) ) )
& ? [X5] :
( ( ~ b48_buttercup10305(X5)
| ~ k04_buttercup10303(X5) )
& ( b48_buttercup10305(X5)
| k04_buttercup10303(X5) ) ) ),
inference(nnf_transformation,[],[f903]) ).
fof(f903,plain,
( ( ! [X3] :
( k04_buttercup10303(X3)
| ~ b48_buttercup10305(X3) )
| ? [X2] :
( ~ b48_buttercup10305(X2)
& k04_buttercup10303(X2) ) )
& ? [X4] :
( b48_buttercup10305(X4)
& k04_buttercup10303(X4) )
& ( ! [X1] :
( ~ k04_buttercup10303(X1)
| b48_buttercup10305(X1) )
| ? [X0] :
( b48_buttercup10305(X0)
& ~ k04_buttercup10303(X0) ) )
& ? [X5] :
( k04_buttercup10303(X5)
<~> b48_buttercup10305(X5) ) ),
inference(ennf_transformation,[],[f888]) ).
fof(f888,plain,
~ ( ! [X4] :
( b48_buttercup10305(X4)
=> ~ k04_buttercup10303(X4) )
| ( ! [X2] :
( k04_buttercup10303(X2)
=> b48_buttercup10305(X2) )
& ? [X3] :
( b48_buttercup10305(X3)
& ~ k04_buttercup10303(X3) ) )
| ( ! [X0] :
( b48_buttercup10305(X0)
=> k04_buttercup10303(X0) )
& ? [X1] :
( ~ b48_buttercup10305(X1)
& k04_buttercup10303(X1) ) )
| ! [X5] :
( b48_buttercup10305(X5)
<=> k04_buttercup10303(X5) ) ),
inference(rectify,[],[f887]) ).
fof(f887,negated_conjecture,
~ ( ( ! [X1058] :
( b48_buttercup10305(X1058)
=> k04_buttercup10303(X1058) )
& ? [X1059] :
( k04_buttercup10303(X1059)
& ~ b48_buttercup10305(X1059) ) )
| ( ! [X1056] :
( k04_buttercup10303(X1056)
=> b48_buttercup10305(X1056) )
& ? [X1057] :
( b48_buttercup10305(X1057)
& ~ k04_buttercup10303(X1057) ) )
| ! [X1060] :
( b48_buttercup10305(X1060)
=> ~ k04_buttercup10303(X1060) )
| ! [X1055] :
( k04_buttercup10303(X1055)
<=> b48_buttercup10305(X1055) ) ),
inference(negated_conjecture,[],[f886]) ).
fof(f886,conjecture,
( ( ! [X1058] :
( b48_buttercup10305(X1058)
=> k04_buttercup10303(X1058) )
& ? [X1059] :
( k04_buttercup10303(X1059)
& ~ b48_buttercup10305(X1059) ) )
| ( ! [X1056] :
( k04_buttercup10303(X1056)
=> b48_buttercup10305(X1056) )
& ? [X1057] :
( b48_buttercup10305(X1057)
& ~ k04_buttercup10303(X1057) ) )
| ! [X1060] :
( b48_buttercup10305(X1060)
=> ~ k04_buttercup10303(X1060) )
| ! [X1055] :
( k04_buttercup10303(X1055)
<=> b48_buttercup10305(X1055) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_886) ).
fof(f926,plain,
( ~ b48_buttercup10305(sK4)
| ~ k04_buttercup10303(sK4) ),
inference(cnf_transformation,[],[f914]) ).
fof(f962,plain,
( b48_buttercup10305(sK4)
| ~ spl9_2 ),
inference(unit_resulting_resolution,[],[f949,f947]) ).
fof(f947,plain,
( ! [X3] :
( ~ k04_buttercup10303(X3)
| b48_buttercup10305(X3) )
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f946,plain,
( spl9_2
<=> ! [X3] :
( b48_buttercup10305(X3)
| ~ k04_buttercup10303(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f954,plain,
( spl9_2
| ~ spl9_3 ),
inference(avatar_split_clause,[],[f927,f951,f946]) ).
fof(f927,plain,
! [X3] :
( ~ k04_buttercup10303(sK3)
| ~ k04_buttercup10303(X3)
| b48_buttercup10305(X3) ),
inference(cnf_transformation,[],[f914]) ).
fof(f948,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f928,f946,f942]) ).
fof(f928,plain,
! [X3] :
( b48_buttercup10305(X3)
| ~ k04_buttercup10303(X3)
| b48_buttercup10305(sK3) ),
inference(cnf_transformation,[],[f914]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SYO580+1 : TPTP v8.1.0. Released v5.5.0.
% 0.03/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 23:06:18 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.52 % (19887)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.52 % (19887)Instruction limit reached!
% 0.17/0.52 % (19887)------------------------------
% 0.17/0.52 % (19887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (19879)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)
% 0.17/0.54 % (19887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (19887)Termination reason: Unknown
% 0.17/0.54 % (19887)Termination phase: Preprocessing 1
% 0.17/0.54
% 0.17/0.54 % (19887)Memory used [KB]: 4093
% 0.17/0.54 % (19887)Time elapsed: 0.010 s
% 0.17/0.54 % (19887)Instructions burned: 7 (million)
% 0.17/0.54 % (19887)------------------------------
% 0.17/0.54 % (19887)------------------------------
% 0.17/0.54 % (19886)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)
% 0.17/0.55 % (19885)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)
% 0.17/0.55 % (19886)Instruction limit reached!
% 0.17/0.55 % (19886)------------------------------
% 0.17/0.55 % (19886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55 % (19903)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.17/0.55 % (19879)First to succeed.
% 0.17/0.56 % (19894)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)
% 0.17/0.56 % (19879)Refutation found. Thanks to Tanya!
% 0.17/0.56 % SZS status Theorem for theBenchmark
% 0.17/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.56 % (19879)------------------------------
% 0.17/0.56 % (19879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56 % (19879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56 % (19879)Termination reason: Refutation
% 0.17/0.56
% 0.17/0.56 % (19879)Memory used [KB]: 7675
% 0.17/0.56 % (19879)Time elapsed: 0.161 s
% 0.17/0.56 % (19879)Instructions burned: 5 (million)
% 0.17/0.56 % (19879)------------------------------
% 0.17/0.56 % (19879)------------------------------
% 0.17/0.56 % (19875)Success in time 0.234 s
%------------------------------------------------------------------------------