TSTP Solution File: LCL536+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL536+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 : n021.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 17:43:02 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of formulae : 53 ( 15 unt; 0 def)
% Number of atoms : 106 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 93 ( 40 ~; 35 |; 0 &)
% ( 11 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 13 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 31 ( 29 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f539,plain,
$false,
inference(avatar_sat_refutation,[],[f358,f378,f403,f411,f458,f459,f460,f463,f538]) ).
fof(f538,plain,
( ~ spl1_29
| ~ spl1_34
| spl1_39
| ~ spl1_42 ),
inference(avatar_contradiction_clause,[],[f536]) ).
fof(f536,plain,
( $false
| ~ spl1_29
| ~ spl1_34
| spl1_39
| ~ spl1_42 ),
inference(resolution,[],[f481,f398]) ).
fof(f398,plain,
( ~ is_a_theorem(strict_implies(possibly(sK0),necessarily(possibly(sK0))))
| spl1_39 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f396,plain,
( spl1_39
<=> is_a_theorem(strict_implies(possibly(sK0),necessarily(possibly(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_39])]) ).
fof(f481,plain,
( ! [X9] : is_a_theorem(strict_implies(possibly(X9),necessarily(possibly(X9))))
| ~ spl1_29
| ~ spl1_34
| ~ spl1_42 ),
inference(resolution,[],[f466,f410]) ).
fof(f410,plain,
( ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
| ~ spl1_42 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f409,plain,
( spl1_42
<=> ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_42])]) ).
fof(f466,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(strict_implies(X0,X1)) )
| ~ spl1_29
| ~ spl1_34 ),
inference(superposition,[],[f377,f353]) ).
fof(f353,plain,
( ! [X0,X1] : strict_implies(X1,X0) = necessarily(implies(X1,X0))
| ~ spl1_29 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f352,plain,
( spl1_29
<=> ! [X0,X1] : strict_implies(X1,X0) = necessarily(implies(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_29])]) ).
fof(f377,plain,
( ! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) )
| ~ spl1_34 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl1_34
<=> ! [X0] :
( ~ is_a_theorem(X0)
| is_a_theorem(necessarily(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_34])]) ).
fof(f463,plain,
spl1_33,
inference(avatar_split_clause,[],[f210,f372]) ).
fof(f372,plain,
( spl1_33
<=> necessitation ),
introduced(avatar_definition,[new_symbols(naming,[spl1_33])]) ).
fof(f210,plain,
necessitation,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
necessitation,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',km5_necessitation) ).
fof(f460,plain,
spl1_41,
inference(avatar_split_clause,[],[f197,f405]) ).
fof(f405,plain,
( spl1_41
<=> axiom_5 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_41])]) ).
fof(f197,plain,
axiom_5,
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
axiom_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',km5_axiom_5) ).
fof(f459,plain,
spl1_30,
inference(avatar_split_clause,[],[f192,f355]) ).
fof(f355,plain,
( spl1_30
<=> op_strict_implies ),
introduced(avatar_definition,[new_symbols(naming,[spl1_30])]) ).
fof(f192,plain,
op_strict_implies,
inference(cnf_transformation,[],[f85]) ).
fof(f85,axiom,
op_strict_implies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).
fof(f458,plain,
~ spl1_40,
inference(avatar_split_clause,[],[f182,f400]) ).
fof(f400,plain,
( spl1_40
<=> axiom_m10 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_40])]) ).
fof(f182,plain,
~ axiom_m10,
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
~ axiom_m10,
inference(flattening,[],[f89]) ).
fof(f89,negated_conjecture,
~ axiom_m10,
inference(negated_conjecture,[],[f88]) ).
fof(f88,conjecture,
axiom_m10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_m10_axiom_m10) ).
fof(f411,plain,
( ~ spl1_41
| spl1_42 ),
inference(avatar_split_clause,[],[f183,f409,f405]) ).
fof(f183,plain,
! [X0] :
( is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
| ~ axiom_5 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ~ axiom_5
| ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
( axiom_5
=> ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
inference(unused_predicate_definition_removal,[],[f58]) ).
fof(f58,axiom,
( ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
<=> axiom_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f403,plain,
( ~ spl1_39
| spl1_40 ),
inference(avatar_split_clause,[],[f215,f400,f396]) ).
fof(f215,plain,
( axiom_m10
| ~ is_a_theorem(strict_implies(possibly(sK0),necessarily(possibly(sK0)))) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
( axiom_m10
| ~ is_a_theorem(strict_implies(possibly(sK0),necessarily(possibly(sK0)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f157,f175]) ).
fof(f175,plain,
( ? [X0] : ~ is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))
=> ~ is_a_theorem(strict_implies(possibly(sK0),necessarily(possibly(sK0)))) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
( axiom_m10
| ? [X0] : ~ is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0)))) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
( ! [X0] : is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))
=> axiom_m10 ),
inference(unused_predicate_definition_removal,[],[f72]) ).
fof(f72,axiom,
( ! [X0] : is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))
<=> axiom_m10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m10) ).
fof(f378,plain,
( ~ spl1_33
| spl1_34 ),
inference(avatar_split_clause,[],[f198,f376,f372]) ).
fof(f198,plain,
! [X0] :
( ~ is_a_theorem(X0)
| is_a_theorem(necessarily(X0))
| ~ necessitation ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) )
| ~ necessitation ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
( necessitation
=> ! [X0] :
( is_a_theorem(X0)
=> is_a_theorem(necessarily(X0)) ) ),
inference(unused_predicate_definition_removal,[],[f50]) ).
fof(f50,axiom,
( necessitation
<=> ! [X0] :
( is_a_theorem(X0)
=> is_a_theorem(necessarily(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',necessitation) ).
fof(f358,plain,
( spl1_29
| ~ spl1_30 ),
inference(avatar_split_clause,[],[f232,f355,f352]) ).
fof(f232,plain,
! [X0,X1] :
( ~ op_strict_implies
| strict_implies(X1,X0) = necessarily(implies(X1,X0)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ~ op_strict_implies
| ! [X0,X1] : strict_implies(X1,X0) = necessarily(implies(X1,X0)) ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
( ~ op_strict_implies
| ! [X1,X0] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
( op_strict_implies
=> ! [X1,X0] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_strict_implies) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL536+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 : n021.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 02:03:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (27286)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)
% 0.19/0.52 % (27295)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.52 % (27302)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.52 % (27294)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (27294)Refutation not found, incomplete strategy% (27294)------------------------------
% 0.19/0.52 % (27294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27287)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)
% 0.19/0.52 % (27294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27294)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (27294)Memory used [KB]: 6012
% 0.19/0.52 % (27294)Time elapsed: 0.003 s
% 0.19/0.52 % (27294)Instructions burned: 2 (million)
% 0.19/0.52 % (27294)------------------------------
% 0.19/0.52 % (27294)------------------------------
% 0.19/0.52 % (27302)Refutation not found, incomplete strategy% (27302)------------------------------
% 0.19/0.52 % (27302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27302)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (27302)Memory used [KB]: 6012
% 0.19/0.52 % (27302)Time elapsed: 0.004 s
% 0.19/0.52 % (27302)Instructions burned: 2 (million)
% 0.19/0.52 % (27302)------------------------------
% 0.19/0.52 % (27302)------------------------------
% 0.19/0.52 % (27277)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (27286)Refutation not found, incomplete strategy% (27286)------------------------------
% 0.19/0.52 % (27286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27286)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (27286)Memory used [KB]: 6012
% 0.19/0.52 % (27286)Time elapsed: 0.004 s
% 0.19/0.52 % (27277)Refutation not found, incomplete strategy% (27277)------------------------------
% 0.19/0.52 % (27277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27277)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (27277)Memory used [KB]: 6012
% 0.19/0.52 % (27277)Time elapsed: 0.002 s
% 0.19/0.52 % (27277)Instructions burned: 2 (million)
% 0.19/0.52 % (27277)------------------------------
% 0.19/0.52 % (27277)------------------------------
% 0.19/0.52 % (27286)Instructions burned: 1 (million)
% 0.19/0.52 % (27286)------------------------------
% 0.19/0.52 % (27286)------------------------------
% 0.19/0.52 % (27278)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)
% 0.19/0.52 % (27279)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52 % (27278)Refutation not found, incomplete strategy% (27278)------------------------------
% 0.19/0.52 % (27278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27278)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (27278)Memory used [KB]: 1535
% 0.19/0.52 % (27278)Time elapsed: 0.002 s
% 0.19/0.52 % (27278)Instructions burned: 1 (million)
% 0.19/0.52 % (27278)------------------------------
% 0.19/0.52 % (27278)------------------------------
% 0.19/0.52 % (27279)Refutation not found, incomplete strategy% (27279)------------------------------
% 0.19/0.52 % (27279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27279)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (27279)Memory used [KB]: 6012
% 0.19/0.52 % (27279)Time elapsed: 0.002 s
% 0.19/0.52 % (27279)------------------------------
% 0.19/0.52 % (27279)------------------------------
% 0.19/0.53 % (27282)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)
% 0.19/0.53 % (27275)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (27273)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (27300)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)
% 0.19/0.53 % (27295)First to succeed.
% 0.19/0.53 % (27295)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (27295)------------------------------
% 0.19/0.53 % (27295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (27295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (27295)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (27295)Memory used [KB]: 6268
% 0.19/0.53 % (27295)Time elapsed: 0.083 s
% 0.19/0.53 % (27295)Instructions burned: 8 (million)
% 0.19/0.53 % (27295)------------------------------
% 0.19/0.53 % (27295)------------------------------
% 0.19/0.53 % (27272)Success in time 0.182 s
%------------------------------------------------------------------------------