TSTP Solution File: MGT041+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT041+2 : 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_sat --cores 0 -t %d %s
% Computer : n026.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 17:51:34 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 45 ( 9 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 119 ( 52 ~; 40 |; 19 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 6 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 38 ( 28 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,plain,
$false,
inference(avatar_sat_refutation,[],[f33,f44,f50,f52,f54,f56]) ).
fof(f56,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f55]) ).
fof(f55,plain,
( $false
| ~ spl2_3 ),
inference(resolution,[],[f39,f17]) ).
fof(f17,plain,
~ has_elaborated_routines(sK0,sK1),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
? [X1,X0] :
( organisation_at_time(X1,X0)
& number_of_routines(X1,X0,high)
& ~ has_elaborated_routines(X1,X0)
& founding_time(X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
? [X1,X0] :
( founding_time(X0,X1)
& number_of_routines(X0,X1,high)
& ~ has_elaborated_routines(X0,X1)
& organisation_at_time(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a16) ).
fof(f39,plain,
( has_elaborated_routines(sK0,sK1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl2_3
<=> has_elaborated_routines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f54,plain,
spl2_5,
inference(avatar_contradiction_clause,[],[f53]) ).
fof(f53,plain,
( $false
| spl2_5 ),
inference(resolution,[],[f49,f16]) ).
fof(f16,plain,
founding_time(sK0,sK1),
inference(cnf_transformation,[],[f8]) ).
fof(f49,plain,
( ~ founding_time(sK0,sK1)
| spl2_5 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl2_5
<=> founding_time(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f52,plain,
spl2_4,
inference(avatar_contradiction_clause,[],[f51]) ).
fof(f51,plain,
( $false
| spl2_4 ),
inference(resolution,[],[f43,f19]) ).
fof(f19,plain,
organisation_at_time(sK0,sK1),
inference(cnf_transformation,[],[f8]) ).
fof(f43,plain,
( ~ organisation_at_time(sK0,sK1)
| spl2_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl2_4
<=> organisation_at_time(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f50,plain,
( ~ spl2_5
| ~ spl2_2
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f45,f41,f30,f47]) ).
fof(f30,plain,
( spl2_2
<=> first_mover(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f45,plain,
( ~ organisation_at_time(sK0,sK1)
| ~ first_mover(sK0)
| ~ founding_time(sK0,sK1) ),
inference(resolution,[],[f22,f34]) ).
fof(f34,plain,
~ number_of_routines(sK0,sK1,low),
inference(resolution,[],[f23,f18]) ).
fof(f18,plain,
number_of_routines(sK0,sK1,high),
inference(cnf_transformation,[],[f8]) ).
fof(f23,plain,
! [X0,X1] :
( ~ number_of_routines(X0,X1,high)
| ~ number_of_routines(X0,X1,low) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ~ number_of_routines(X0,X1,high)
| ~ number_of_routines(X0,X1,low) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
~ ( number_of_routines(X0,X1,high)
& number_of_routines(X0,X1,low) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_not_high_and_low) ).
fof(f22,plain,
! [X0,X1] :
( number_of_routines(X1,X0,low)
| ~ first_mover(X1)
| ~ founding_time(X1,X0)
| ~ organisation_at_time(X1,X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ organisation_at_time(X1,X0)
| ~ founding_time(X1,X0)
| number_of_routines(X1,X0,low)
| ~ first_mover(X1) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X1,X0] :
( number_of_routines(X1,X0,low)
| ~ organisation_at_time(X1,X0)
| ~ founding_time(X1,X0)
| ~ first_mover(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X0] :
( ( organisation_at_time(X1,X0)
& founding_time(X1,X0)
& first_mover(X1) )
=> number_of_routines(X1,X0,low) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ( founding_time(X0,X1)
& first_mover(X0)
& organisation_at_time(X0,X1) )
=> number_of_routines(X0,X1,low) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a15) ).
fof(f44,plain,
( ~ spl2_1
| spl2_3
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f35,f41,f37,f26]) ).
fof(f26,plain,
( spl2_1
<=> efficient_producer(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f35,plain,
( ~ organisation_at_time(sK0,sK1)
| has_elaborated_routines(sK0,sK1)
| ~ efficient_producer(sK0) ),
inference(resolution,[],[f21,f16]) ).
fof(f21,plain,
! [X0,X1] :
( ~ founding_time(X0,X1)
| ~ efficient_producer(X0)
| has_elaborated_routines(X0,X1)
| ~ organisation_at_time(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ~ founding_time(X0,X1)
| ~ efficient_producer(X0)
| ~ organisation_at_time(X0,X1)
| has_elaborated_routines(X0,X1) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( has_elaborated_routines(X0,X1)
| ~ founding_time(X0,X1)
| ~ organisation_at_time(X0,X1)
| ~ efficient_producer(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ( founding_time(X0,X1)
& organisation_at_time(X0,X1)
& efficient_producer(X0) )
=> has_elaborated_routines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a14) ).
fof(f33,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f24,f30,f26]) ).
fof(f24,plain,
( first_mover(sK0)
| efficient_producer(sK0) ),
inference(resolution,[],[f20,f19]) ).
fof(f20,plain,
! [X0,X1] :
( ~ organisation_at_time(X1,X0)
| efficient_producer(X1)
| first_mover(X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( efficient_producer(X1)
| first_mover(X1)
| ~ organisation_at_time(X1,X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ? [X1,X0] :
( organisation_at_time(X1,X0)
& ~ efficient_producer(X1)
& ~ first_mover(X1) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ? [X1,X0] :
( organisation_at_time(X0,X1)
& ~ first_mover(X0)
& ~ efficient_producer(X0) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
? [X1,X0] :
( organisation_at_time(X0,X1)
& ~ first_mover(X0)
& ~ efficient_producer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT041+2 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 03:31:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (26443)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.51 % (26453)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.51 % (26443)First to succeed.
% 0.20/0.52 % (26436)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.52 % (26443)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (26443)------------------------------
% 0.20/0.52 % (26443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (26443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (26443)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (26443)Memory used [KB]: 5373
% 0.20/0.52 % (26443)Time elapsed: 0.102 s
% 0.20/0.52 % (26443)Instructions burned: 1 (million)
% 0.20/0.52 % (26443)------------------------------
% 0.20/0.52 % (26443)------------------------------
% 0.20/0.52 % (26431)Success in time 0.161 s
%------------------------------------------------------------------------------