%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT053+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:02:44 PM UTC 2026
% Result : Theorem 0.14s 0.42s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 75 ( 6 unt; 4 def)
% Number of atoms : 237 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 275 ( 113 ~; 139 |; 12 &)
% ( 9 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 56 ( 0 sgn 50 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( organization(X0)
& ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
fof(f8,conjecture,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> dissimilar(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_7) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> dissimilar(X0,X2,X1) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f15,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( organization(X0)
& ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f16,plain,
? [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<~> dissimilar(X0,X2,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ~ organization(X0)
| ( ( 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) ) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ~ organization(X0)
| ( ( 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) ) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( ( ~ dissimilar(X0,X2,X1)
| ~ dissimilar(X0,X1,X2) )
& ( dissimilar(X0,X2,X1)
| dissimilar(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f20,plain,
( ( ~ dissimilar(sK0,sK2,sK1)
| ~ dissimilar(sK0,sK1,sK2) )
& ( dissimilar(sK0,sK2,sK1)
| dissimilar(sK0,sK1,sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| is_aligned(X0,X1)
| is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| dissimilar(X0,X1,X2)
| is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f30,plain,
( dissimilar(sK0,sK2,sK1)
| dissimilar(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f31,plain,
( ~ dissimilar(sK0,sK2,sK1)
| ~ dissimilar(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f33,definition,
( spl3_1
<=> dissimilar(sK0,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f34,plain,
( ~ dissimilar(sK0,sK1,sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f35,plain,
( dissimilar(sK0,sK1,sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f37,definition,
( spl3_2
<=> dissimilar(sK0,sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f38,plain,
( ~ dissimilar(sK0,sK2,sK1)
| spl3_2 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f39,plain,
( dissimilar(sK0,sK2,sK1)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f40,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f30,f37,f33]) ).
fof(f41,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f31,f37,f33]) ).
fof(f42,plain,
( organization(sK0)
| ~ spl3_2 ),
inference(resolution,[],[f27,f39]) ).
fof(f47,plain,
( is_aligned(sK0,sK2)
| is_aligned(sK0,sK1)
| ~ spl3_2 ),
inference(resolution,[],[f25,f39]) ).
fof(f49,definition,
( spl3_3
<=> is_aligned(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f50,plain,
( ~ is_aligned(sK0,sK1)
| spl3_3 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f51,plain,
( is_aligned(sK0,sK1)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f53,definition,
( spl3_4
<=> is_aligned(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f55,plain,
( is_aligned(sK0,sK2)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,plain,
( spl3_3
| spl3_4
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f47,f37,f53,f49]) ).
fof(f57,plain,
( ! [X0] :
( ~ is_aligned(sK0,X0)
| ~ dissimilar(sK0,X0,sK1) )
| ~ spl3_3 ),
inference(resolution,[],[f26,f51]) ).
fof(f59,plain,
( ! [X0,X1] :
( ~ is_aligned(sK0,X0)
| is_aligned(sK0,X1)
| dissimilar(sK0,X0,X1) )
| ~ spl3_2 ),
inference(resolution,[],[f28,f42]) ).
fof(f61,plain,
( ! [X0] :
( is_aligned(sK0,X0)
| dissimilar(sK0,sK1,X0) )
| ~ spl3_2
| ~ spl3_3 ),
inference(resolution,[],[f59,f51]) ).
fof(f64,plain,
( ! [X0] :
( ~ dissimilar(sK0,X0,sK1)
| dissimilar(sK0,sK1,X0) )
| ~ spl3_2
| ~ spl3_3 ),
inference(resolution,[],[f61,f57]) ).
fof(f75,plain,
( dissimilar(sK0,sK1,sK2)
| ~ spl3_2
| ~ spl3_3 ),
inference(resolution,[],[f64,f39]) ).
fof(f76,plain,
( $false
| spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(forward_subsumption_resolution,[],[f75,f34]) ).
fof(f77,plain,
( spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f78,plain,
( is_aligned(sK0,sK1)
| is_aligned(sK0,sK2)
| ~ spl3_1 ),
inference(resolution,[],[f35,f25]) ).
fof(f79,plain,
( organization(sK0)
| ~ spl3_1 ),
inference(resolution,[],[f35,f27]) ).
fof(f80,plain,
( ! [X0,X1] :
( ~ is_aligned(sK0,X1)
| is_aligned(sK0,X0)
| dissimilar(sK0,X0,X1) )
| ~ spl3_1 ),
inference(resolution,[],[f79,f29]) ).
fof(f81,plain,
( ! [X0,X1] :
( ~ is_aligned(sK0,X0)
| is_aligned(sK0,X1)
| dissimilar(sK0,X0,X1) )
| ~ spl3_1 ),
inference(resolution,[],[f79,f28]) ).
fof(f82,plain,
( ! [X0] :
( is_aligned(sK0,X0)
| dissimilar(sK0,X0,sK1) )
| ~ spl3_1
| ~ spl3_3 ),
inference(resolution,[],[f80,f51]) ).
fof(f87,plain,
( ! [X0,X1] :
( ~ is_aligned(sK0,X1)
| dissimilar(sK0,X0,sK1)
| ~ dissimilar(sK0,X1,X0) )
| ~ spl3_1
| ~ spl3_3 ),
inference(resolution,[],[f82,f26]) ).
fof(f123,plain,
( ! [X0] :
( ~ dissimilar(sK0,sK1,X0)
| dissimilar(sK0,X0,sK1) )
| ~ spl3_1
| ~ spl3_3 ),
inference(resolution,[],[f87,f51]) ).
fof(f133,plain,
( dissimilar(sK0,sK2,sK1)
| ~ spl3_1
| ~ spl3_3 ),
inference(resolution,[],[f123,f35]) ).
fof(f134,plain,
( $false
| ~ spl3_1
| spl3_2
| ~ spl3_3 ),
inference(forward_subsumption_resolution,[],[f133,f38]) ).
fof(f135,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f134]) ).
fof(f136,plain,
( is_aligned(sK0,sK2)
| ~ spl3_1
| spl3_3 ),
inference(forward_subsumption_resolution,[],[f78,f50]) ).
fof(f137,plain,
( spl3_4
| ~ spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f136,f49,f33,f53]) ).
fof(f138,plain,
( ! [X0] :
( is_aligned(sK0,X0)
| dissimilar(sK0,sK2,X0) )
| ~ spl3_1
| ~ spl3_4 ),
inference(resolution,[],[f55,f81]) ).
fof(f145,plain,
( dissimilar(sK0,sK2,sK1)
| ~ spl3_1
| spl3_3
| ~ spl3_4 ),
inference(resolution,[],[f138,f50]) ).
fof(f147,plain,
( $false
| ~ spl3_1
| spl3_2
| spl3_3
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f145,f38]) ).
fof(f148,plain,
( ~ spl3_1
| spl3_2
| spl3_3
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f147]) ).
fof(f149,plain,
( ! [X0,X1] :
( ~ is_aligned(sK0,X1)
| is_aligned(sK0,X0)
| dissimilar(sK0,X0,X1) )
| ~ spl3_2 ),
inference(resolution,[],[f42,f29]) ).
fof(f153,plain,
( ! [X0] :
( is_aligned(sK0,X0)
| dissimilar(sK0,X0,sK2) )
| ~ spl3_2
| ~ spl3_4 ),
inference(resolution,[],[f149,f55]) ).
fof(f156,plain,
( dissimilar(sK0,sK1,sK2)
| ~ spl3_2
| spl3_3
| ~ spl3_4 ),
inference(resolution,[],[f153,f50]) ).
fof(f158,plain,
( $false
| spl3_1
| ~ spl3_2
| spl3_3
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f156,f34]) ).
fof(f159,plain,
( spl3_1
| ~ spl3_2
| spl3_3
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f158]) ).
cnf(s1,plain,
( spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f40]) ).
cnf(s2,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f41]) ).
cnf(s3,plain,
( ~ spl3_2
| spl3_3
| spl3_4 ),
inference(sat_conversion,[],[f56]) ).
cnf(s4,plain,
( spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(sat_conversion,[],[f77]) ).
cnf(s5,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_3 ),
inference(sat_conversion,[],[f135]) ).
cnf(s6,plain,
( ~ spl3_1
| spl3_3
| spl3_4 ),
inference(sat_conversion,[],[f137]) ).
cnf(s7,plain,
( ~ spl3_1
| spl3_2
| spl3_3
| ~ spl3_4 ),
inference(sat_conversion,[],[f148]) ).
cnf(s8,plain,
( spl3_1
| ~ spl3_2
| spl3_3
| ~ spl3_4 ),
inference(sat_conversion,[],[f159]) ).
cnf(s9,plain,
( ~ spl3_2
| spl3_1 ),
inference(rat,[],[s8,s3,s4]) ).
cnf(s10,plain,
spl3_1,
inference(rat,[],[s9,s1]) ).
cnf(s11,plain,
~ spl3_2,
inference(rat,[],[s2,s10]) ).
cnf(s12,plain,
~ spl3_3,
inference(rat,[],[s5,s11,s10]) ).
cnf(s13,plain,
spl3_4,
inference(rat,[],[s6,s10,s12]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s7,s11,s10,s13,s12]) ).
fof(f160,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT053+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.35 % Computer : n026.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 17:31:12 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.38 Running first-order model finding
% 0.14/0.38 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42 % (3087559)Will run a generic schedule for satisfiability detection.
% 0.14/0.42 % (3087569)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4190694366:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.42 % (3087565)% WARNING: option uhcvi not known.
% 0.14/0.42 % (3087569) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3087559-3087569"...
% 0.14/0.42 % (3087569)...printing done.
% 0.14/0.42 % (3087569)Refutation found. Thanks to Tanya!
% 0.14/0.42 % SZS status Theorem for theBenchmark
% 0.14/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.43 % (3087569)------------------------------
% 0.14/0.43 % (3087569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.43 % (3087569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.43 % (3087569)CaDiCaL version: 2.1.3
% 0.14/0.43 % (3087569)Termination reason: Refutation
% 0.14/0.43 % (3087569)Time elapsed: 0.004 s
% 0.14/0.43 % (3087569)Peak memory usage: 12 MB
% 0.14/0.43 % (3087569)Instructions burned: 8 (million)
% 0.14/0.43 % (3087559)Success in time 0.031 s
% 0.14/0.43 % Vampire exiting
%------------------------------------------------------------------------------