TSTP Solution File: MGT053+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT053+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : 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 17:51:38 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 55 ( 1 unt; 0 def)
% Number of atoms : 188 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 220 ( 87 ~; 97 |; 20 &)
% ( 13 <=>; 1 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 54 ( 42 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f102,plain,
$false,
inference(avatar_sat_refutation,[],[f51,f52,f67,f71,f82,f90,f91,f97,f98,f99,f100,f101]) ).
fof(f101,plain,
( spl3_4
| spl3_3
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f93,f44,f60,f64]) ).
fof(f64,plain,
( spl3_4
<=> is_aligned(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f60,plain,
( spl3_3
<=> is_aligned(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f44,plain,
( spl3_1
<=> dissimilar(sK0,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f93,plain,
( is_aligned(sK0,sK2)
| is_aligned(sK0,sK1)
| ~ spl3_1 ),
inference(resolution,[],[f46,f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ dissimilar(X2,X1,X0)
| is_aligned(X2,X1)
| is_aligned(X2,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( ( ( ~ is_aligned(X2,X0)
| ~ is_aligned(X2,X1) )
& ( is_aligned(X2,X0)
| is_aligned(X2,X1) )
& organization(X2) )
| ~ dissimilar(X2,X1,X0) )
& ( dissimilar(X2,X1,X0)
| ( ( is_aligned(X2,X1)
| ~ is_aligned(X2,X0) )
& ( is_aligned(X2,X0)
| ~ is_aligned(X2,X1) ) )
| ~ organization(X2) ) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ( ( ( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X0) )
& ( is_aligned(X1,X2)
| is_aligned(X1,X0) )
& organization(X1) )
| ~ dissimilar(X1,X0,X2) )
& ( dissimilar(X1,X0,X2)
| ( ( is_aligned(X1,X0)
| ~ is_aligned(X1,X2) )
& ( is_aligned(X1,X2)
| ~ is_aligned(X1,X0) ) )
| ~ organization(X1) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ( ( ( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X0) )
& ( is_aligned(X1,X2)
| is_aligned(X1,X0) )
& organization(X1) )
| ~ dissimilar(X1,X0,X2) )
& ( dissimilar(X1,X0,X2)
| ( ( is_aligned(X1,X0)
| ~ is_aligned(X1,X2) )
& ( is_aligned(X1,X2)
| ~ is_aligned(X1,X0) ) )
| ~ organization(X1) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ( ( is_aligned(X1,X0)
<~> is_aligned(X1,X2) )
& organization(X1) )
<=> dissimilar(X1,X0,X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X2,X1,X0] :
( dissimilar(X1,X0,X2)
<=> ( ~ ( is_aligned(X1,X2)
<=> is_aligned(X1,X0) )
& organization(X1) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X3,X0,X4] :
( dissimilar(X0,X3,X4)
<=> ( organization(X0)
& ~ ( is_aligned(X0,X4)
<=> is_aligned(X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
fof(f46,plain,
( dissimilar(sK0,sK2,sK1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f100,plain,
( ~ spl3_5
| ~ spl3_3
| spl3_4
| spl3_2 ),
inference(avatar_split_clause,[],[f95,f48,f64,f60,f79]) ).
fof(f79,plain,
( spl3_5
<=> organization(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f48,plain,
( spl3_2
<=> dissimilar(sK0,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f95,plain,
( is_aligned(sK0,sK1)
| ~ is_aligned(sK0,sK2)
| ~ organization(sK0)
| spl3_2 ),
inference(resolution,[],[f49,f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( dissimilar(X2,X1,X0)
| ~ organization(X2)
| ~ is_aligned(X2,X0)
| is_aligned(X2,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f49,plain,
( ~ dissimilar(sK0,sK1,sK2)
| spl3_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f99,plain,
( ~ spl3_4
| ~ spl3_3
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f92,f44,f60,f64]) ).
fof(f92,plain,
( ~ is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| ~ spl3_1 ),
inference(resolution,[],[f46,f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ dissimilar(X2,X1,X0)
| ~ is_aligned(X2,X1)
| ~ is_aligned(X2,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f98,plain,
( spl3_5
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f94,f44,f79]) ).
fof(f94,plain,
( organization(sK0)
| ~ spl3_1 ),
inference(resolution,[],[f46,f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ dissimilar(X2,X1,X0)
| organization(X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f97,plain,
( spl3_3
| ~ spl3_5
| ~ spl3_4
| spl3_2 ),
inference(avatar_split_clause,[],[f96,f48,f64,f79,f60]) ).
fof(f96,plain,
( ~ is_aligned(sK0,sK1)
| ~ organization(sK0)
| is_aligned(sK0,sK2)
| spl3_2 ),
inference(resolution,[],[f49,f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( dissimilar(X2,X1,X0)
| is_aligned(X2,X0)
| ~ is_aligned(X2,X1)
| ~ organization(X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f91,plain,
( ~ spl3_4
| spl3_3
| ~ spl3_5
| spl3_1 ),
inference(avatar_split_clause,[],[f83,f44,f79,f60,f64]) ).
fof(f83,plain,
( ~ organization(sK0)
| is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| spl3_1 ),
inference(resolution,[],[f37,f45]) ).
fof(f45,plain,
( ~ dissimilar(sK0,sK2,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f90,plain,
( ~ spl3_2
| spl3_5 ),
inference(avatar_contradiction_clause,[],[f89]) ).
fof(f89,plain,
( $false
| ~ spl3_2
| spl3_5 ),
inference(resolution,[],[f81,f53]) ).
fof(f53,plain,
( organization(sK0)
| ~ spl3_2 ),
inference(resolution,[],[f38,f50]) ).
fof(f50,plain,
( dissimilar(sK0,sK1,sK2)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f81,plain,
( ~ organization(sK0)
| spl3_5 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( spl3_4
| ~ spl3_5
| ~ spl3_3
| spl3_1 ),
inference(avatar_split_clause,[],[f72,f44,f60,f79,f64]) ).
fof(f72,plain,
( ~ is_aligned(sK0,sK2)
| ~ organization(sK0)
| is_aligned(sK0,sK1)
| spl3_1 ),
inference(resolution,[],[f36,f45]) ).
fof(f71,plain,
( ~ spl3_4
| ~ spl3_3
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f70,f48,f60,f64]) ).
fof(f70,plain,
( ~ is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| ~ spl3_2 ),
inference(resolution,[],[f40,f50]) ).
fof(f67,plain,
( spl3_3
| spl3_4
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f58,f48,f64,f60]) ).
fof(f58,plain,
( is_aligned(sK0,sK1)
| is_aligned(sK0,sK2)
| ~ spl3_2 ),
inference(resolution,[],[f39,f50]) ).
fof(f52,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f33,f48,f44]) ).
fof(f33,plain,
( ~ dissimilar(sK0,sK1,sK2)
| ~ dissimilar(sK0,sK2,sK1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
( ( ~ dissimilar(sK0,sK1,sK2)
| ~ dissimilar(sK0,sK2,sK1) )
& ( dissimilar(sK0,sK1,sK2)
| dissimilar(sK0,sK2,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f25,f26]) ).
fof(f26,plain,
( ? [X0,X1,X2] :
( ( ~ dissimilar(X0,X1,X2)
| ~ dissimilar(X0,X2,X1) )
& ( dissimilar(X0,X1,X2)
| dissimilar(X0,X2,X1) ) )
=> ( ( ~ dissimilar(sK0,sK1,sK2)
| ~ dissimilar(sK0,sK2,sK1) )
& ( dissimilar(sK0,sK1,sK2)
| dissimilar(sK0,sK2,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0,X1,X2] :
( ( ~ dissimilar(X0,X1,X2)
| ~ dissimilar(X0,X2,X1) )
& ( dissimilar(X0,X1,X2)
| dissimilar(X0,X2,X1) ) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
? [X0,X2,X1] :
( ( ~ dissimilar(X0,X2,X1)
| ~ dissimilar(X0,X1,X2) )
& ( dissimilar(X0,X2,X1)
| dissimilar(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
? [X0,X2,X1] :
( dissimilar(X0,X1,X2)
<~> dissimilar(X0,X2,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
~ ! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
<=> dissimilar(X0,X2,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X6,X5] :
( dissimilar(X0,X6,X5)
<=> dissimilar(X0,X5,X6) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X6,X5] :
( dissimilar(X0,X6,X5)
<=> dissimilar(X0,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_7) ).
fof(f51,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f32,f48,f44]) ).
fof(f32,plain,
( dissimilar(sK0,sK1,sK2)
| dissimilar(sK0,sK2,sK1) ),
inference(cnf_transformation,[],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : MGT053+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 03:18:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (8920)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50 % (8897)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (8911)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.50 % (8903)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (8906)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (8906)First to succeed.
% 0.19/0.51 % (8920)Also succeeded, but the first one will report.
% 0.19/0.51 % (8909)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (8906)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (8906)------------------------------
% 0.19/0.51 % (8906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (8906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (8906)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (8906)Memory used [KB]: 5373
% 0.19/0.51 % (8906)Time elapsed: 0.101 s
% 0.19/0.51 % (8906)Instructions burned: 2 (million)
% 0.19/0.51 % (8906)------------------------------
% 0.19/0.51 % (8906)------------------------------
% 0.19/0.51 % (8892)Success in time 0.163 s
%------------------------------------------------------------------------------