TSTP Solution File: MGT053+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n022.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 17:51:12 EDT 2022
% Result : Theorem 0.19s 0.52s
% 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(f98,plain,
$false,
inference(avatar_sat_refutation,[],[f51,f52,f63,f66,f78,f80,f87,f91,f92,f93,f96,f97]) ).
fof(f97,plain,
( ~ spl3_4
| spl3_3
| ~ spl3_5
| spl3_2 ),
inference(avatar_split_clause,[],[f95,f48,f75,f56,f60]) ).
fof(f60,plain,
( spl3_4
<=> is_aligned(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f56,plain,
( spl3_3
<=> is_aligned(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f75,plain,
( spl3_5
<=> organization(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f48,plain,
( spl3_2
<=> dissimilar(sK0,sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f95,plain,
( ~ organization(sK0)
| is_aligned(sK0,sK1)
| ~ is_aligned(sK0,sK2)
| spl3_2 ),
inference(resolution,[],[f49,f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| ~ organization(X0)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ( ( is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& ( is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ) )
| ~ organization(X0) )
& ( ( ( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1) )
& ( is_aligned(X0,X2)
| is_aligned(X0,X1) )
& organization(X0) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X1,X2,X0] :
( ( dissimilar(X1,X2,X0)
| ( ( is_aligned(X1,X2)
| ~ is_aligned(X1,X0) )
& ( is_aligned(X1,X0)
| ~ is_aligned(X1,X2) ) )
| ~ organization(X1) )
& ( ( ( ~ is_aligned(X1,X0)
| ~ is_aligned(X1,X2) )
& ( is_aligned(X1,X0)
| is_aligned(X1,X2) )
& organization(X1) )
| ~ dissimilar(X1,X2,X0) ) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X1,X2,X0] :
( ( dissimilar(X1,X2,X0)
| ( ( is_aligned(X1,X2)
| ~ is_aligned(X1,X0) )
& ( is_aligned(X1,X0)
| ~ is_aligned(X1,X2) ) )
| ~ organization(X1) )
& ( ( ( ~ is_aligned(X1,X0)
| ~ is_aligned(X1,X2) )
& ( is_aligned(X1,X0)
| is_aligned(X1,X2) )
& organization(X1) )
| ~ dissimilar(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X2,X0] :
( dissimilar(X1,X2,X0)
<=> ( ( is_aligned(X1,X2)
<~> is_aligned(X1,X0) )
& organization(X1) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X1,X2,X0] :
( ( organization(X1)
& ~ ( is_aligned(X1,X2)
<=> is_aligned(X1,X0) ) )
<=> dissimilar(X1,X2,X0) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X4,X0,X3] :
( ( ~ ( is_aligned(X0,X4)
<=> is_aligned(X0,X3) )
& organization(X0) )
<=> dissimilar(X0,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
fof(f49,plain,
( ~ dissimilar(sK0,sK2,sK1)
| spl3_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f96,plain,
( ~ spl3_5
| spl3_4
| ~ spl3_3
| spl3_2 ),
inference(avatar_split_clause,[],[f94,f48,f56,f60,f75]) ).
fof(f94,plain,
( ~ is_aligned(sK0,sK1)
| is_aligned(sK0,sK2)
| ~ organization(sK0)
| spl3_2 ),
inference(resolution,[],[f49,f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| is_aligned(X0,X1)
| ~ organization(X0)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f93,plain,
( spl3_5
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f90,f44,f75]) ).
fof(f44,plain,
( spl3_1
<=> dissimilar(sK0,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f90,plain,
( organization(sK0)
| ~ spl3_1 ),
inference(resolution,[],[f46,f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
( dissimilar(sK0,sK1,sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f92,plain,
( ~ spl3_3
| ~ spl3_4
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f88,f44,f60,f56]) ).
fof(f88,plain,
( ~ is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| ~ spl3_1 ),
inference(resolution,[],[f46,f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f91,plain,
( spl3_4
| spl3_3
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f89,f44,f56,f60]) ).
fof(f89,plain,
( is_aligned(sK0,sK1)
| is_aligned(sK0,sK2)
| ~ spl3_1 ),
inference(resolution,[],[f46,f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f87,plain,
( ~ spl3_5
| spl3_3
| ~ spl3_4
| spl3_1 ),
inference(avatar_split_clause,[],[f81,f44,f60,f56,f75]) ).
fof(f81,plain,
( ~ is_aligned(sK0,sK2)
| is_aligned(sK0,sK1)
| ~ organization(sK0)
| spl3_1 ),
inference(resolution,[],[f37,f45]) ).
fof(f45,plain,
( ~ dissimilar(sK0,sK1,sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f80,plain,
( ~ spl3_2
| spl3_5 ),
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f79,plain,
( $false
| ~ spl3_2
| spl3_5 ),
inference(resolution,[],[f77,f53]) ).
fof(f53,plain,
( organization(sK0)
| ~ spl3_2 ),
inference(resolution,[],[f33,f50]) ).
fof(f50,plain,
( dissimilar(sK0,sK2,sK1)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f77,plain,
( ~ organization(sK0)
| spl3_5 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,plain,
( ~ spl3_3
| ~ spl3_5
| spl3_4
| spl3_1 ),
inference(avatar_split_clause,[],[f68,f44,f60,f75,f56]) ).
fof(f68,plain,
( is_aligned(sK0,sK2)
| ~ organization(sK0)
| ~ is_aligned(sK0,sK1)
| spl3_1 ),
inference(resolution,[],[f36,f45]) ).
fof(f66,plain,
( ~ spl3_3
| ~ spl3_4
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f65,f48,f60,f56]) ).
fof(f65,plain,
( ~ is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| ~ spl3_2 ),
inference(resolution,[],[f35,f50]) ).
fof(f63,plain,
( spl3_3
| spl3_4
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f54,f48,f60,f56]) ).
fof(f54,plain,
( is_aligned(sK0,sK2)
| is_aligned(sK0,sK1)
| ~ spl3_2 ),
inference(resolution,[],[f34,f50]) ).
fof(f52,plain,
( ~ spl3_2
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f40,f44,f48]) ).
fof(f40,plain,
( ~ dissimilar(sK0,sK1,sK2)
| ~ dissimilar(sK0,sK2,sK1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,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])],[f27,f28]) ).
fof(f28,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(f27,plain,
? [X0,X1,X2] :
( ( ~ dissimilar(X0,X1,X2)
| ~ dissimilar(X0,X2,X1) )
& ( dissimilar(X0,X1,X2)
| dissimilar(X0,X2,X1) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
? [X1,X2,X0] :
( ( ~ dissimilar(X1,X2,X0)
| ~ dissimilar(X1,X0,X2) )
& ( dissimilar(X1,X2,X0)
| dissimilar(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
? [X1,X2,X0] :
( dissimilar(X1,X0,X2)
<~> dissimilar(X1,X2,X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X1,X2,X0] :
( dissimilar(X1,X2,X0)
<=> dissimilar(X1,X0,X2) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X5,X0,X6] :
( dissimilar(X0,X5,X6)
<=> dissimilar(X0,X6,X5) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X5,X0,X6] :
( dissimilar(X0,X5,X6)
<=> dissimilar(X0,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_7) ).
fof(f51,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f39,f48,f44]) ).
fof(f39,plain,
( dissimilar(sK0,sK2,sK1)
| dissimilar(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT053+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % 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 : n022.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 03:22:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (6923)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)
% 0.19/0.50 % (6916)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)
% 0.19/0.51 % (6936)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)
% 0.19/0.51 % (6919)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)
% 0.19/0.51 % (6928)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)
% 0.19/0.51 % (6921)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)
% 0.19/0.51 % (6936)First to succeed.
% 0.19/0.51 % (6923)Refutation not found, incomplete strategy% (6923)------------------------------
% 0.19/0.51 % (6923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (6923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (6923)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (6923)Memory used [KB]: 5884
% 0.19/0.51 % (6923)Time elapsed: 0.112 s
% 0.19/0.51 % (6923)Instructions burned: 1 (million)
% 0.19/0.51 % (6923)------------------------------
% 0.19/0.51 % (6923)------------------------------
% 0.19/0.51 % (6926)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.51 % (6917)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)
% 0.19/0.51 % (6916)Instruction limit reached!
% 0.19/0.51 % (6916)------------------------------
% 0.19/0.51 % (6916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (6916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (6916)Termination reason: Unknown
% 0.19/0.51 % (6916)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (6916)Memory used [KB]: 5884
% 0.19/0.51 % (6916)Time elapsed: 0.126 s
% 0.19/0.51 % (6916)Instructions burned: 3 (million)
% 0.19/0.51 % (6916)------------------------------
% 0.19/0.51 % (6916)------------------------------
% 0.19/0.52 % (6917)Refutation not found, incomplete strategy% (6917)------------------------------
% 0.19/0.52 % (6917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (6917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (6917)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (6917)Memory used [KB]: 5884
% 0.19/0.52 % (6917)Time elapsed: 0.127 s
% 0.19/0.52 % (6917)Instructions burned: 2 (million)
% 0.19/0.52 % (6917)------------------------------
% 0.19/0.52 % (6917)------------------------------
% 0.19/0.52 % (6914)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (6918)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 % (6929)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (6940)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (6918)Refutation not found, incomplete strategy% (6918)------------------------------
% 0.19/0.52 % (6918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (6918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (6918)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (6918)Memory used [KB]: 5884
% 0.19/0.52 % (6918)Time elapsed: 0.126 s
% 0.19/0.52 % (6918)Instructions burned: 1 (million)
% 0.19/0.52 % (6918)------------------------------
% 0.19/0.52 % (6918)------------------------------
% 0.19/0.52 % (6934)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.52 % (6920)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 % (6920)Refutation not found, incomplete strategy% (6920)------------------------------
% 0.19/0.52 % (6920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (6920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (6920)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (6920)Memory used [KB]: 5884
% 0.19/0.52 % (6920)Time elapsed: 0.090 s
% 0.19/0.52 % (6920)Instructions burned: 2 (million)
% 0.19/0.52 % (6920)------------------------------
% 0.19/0.52 % (6920)------------------------------
% 0.19/0.52 % (6936)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (6936)------------------------------
% 0.19/0.52 % (6936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (6936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (6936)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (6936)Memory used [KB]: 5884
% 0.19/0.52 % (6936)Time elapsed: 0.082 s
% 0.19/0.52 % (6936)Instructions burned: 2 (million)
% 0.19/0.52 % (6936)------------------------------
% 0.19/0.52 % (6936)------------------------------
% 0.19/0.52 % (6913)Success in time 0.174 s
%------------------------------------------------------------------------------