%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n020.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 12:02:15 PM UTC 2026
% Result : Unsatisfiable 2.73s 1.35s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 77 ( 7 unt; 7 def)
% Number of atoms : 203 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 232 ( 106 ~; 119 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 8 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X2,X0,X1] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_29) ).
fof(f13,axiom,
! [X2,X0,X1] :
( is_aligned(X0,X2)
| is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_30) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2)
| ~ dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_31) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2)
| dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_33) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2)
| dissimilar(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_34) ).
fof(f19,negated_conjecture,
( dissimilar(sk1,sk2,sk3)
| dissimilar(sk1,sk3,sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_7_36) ).
fof(f22,negated_conjecture,
( ~ dissimilar(sk1,sk3,sk2)
| ~ dissimilar(sk1,sk2,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_7_39) ).
fof(f24,definition,
( spl0_1
<=> dissimilar(sk1,sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f25,plain,
( ~ dissimilar(sk1,sk2,sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f27,definition,
( spl0_2
<=> dissimilar(sk1,sk3,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f28,plain,
( ~ dissimilar(sk1,sk3,sk2)
| spl0_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f29,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f22,f27,f24]) ).
fof(f30,plain,
( dissimilar(sk1,sk3,sk2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f31,plain,
( dissimilar(sk1,sk2,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f32,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f19,f24,f27]) ).
fof(f36,plain,
! [X2,X3,X0,X1,X4] :
( dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X3,X4) ),
inference(resolution,[],[f16,f12]) ).
fof(f38,plain,
! [X2,X3,X0,X1,X4] :
( dissimilar(X0,X2,X1)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X3,X4) ),
inference(resolution,[],[f17,f12]) ).
fof(f54,plain,
( ! [X0,X1] :
( is_aligned(sk1,sk3)
| ~ is_aligned(sk1,sk2)
| ~ dissimilar(sk1,X0,X1) )
| spl0_1 ),
inference(resolution,[],[f36,f25]) ).
fof(f60,definition,
( spl0_3
<=> ! [X0,X1] : ~ dissimilar(sk1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f61,plain,
( ! [X0,X1] : ~ dissimilar(sk1,X0,X1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,definition,
( spl0_4
<=> is_aligned(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f64,plain,
( ~ is_aligned(sk1,sk2)
| spl0_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f66,definition,
( spl0_5
<=> is_aligned(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f67,plain,
( is_aligned(sk1,sk3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f68,plain,
( spl0_3
| ~ spl0_4
| spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f54,f24,f66,f63,f60]) ).
fof(f106,definition,
( spl0_6
<=> ! [X0] :
( ~ dissimilar(sk1,X0,sk2)
| ~ is_aligned(sk1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f107,plain,
( ! [X0] :
( ~ is_aligned(sk1,X0)
| ~ dissimilar(sk1,X0,sk2) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f113,plain,
( ! [X0] :
( ~ is_aligned(sk1,X0)
| ~ dissimilar(sk1,X0,sk3) )
| ~ spl0_5 ),
inference(resolution,[],[f67,f14]) ).
fof(f155,definition,
( spl0_8
<=> ! [X0] :
( ~ dissimilar(sk1,X0,sk3)
| is_aligned(sk1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f156,plain,
( ! [X0] :
( is_aligned(sk1,X0)
| ~ dissimilar(sk1,X0,sk3) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f158,plain,
( ! [X0,X1] :
( is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk3)
| ~ dissimilar(sk1,X0,X1) )
| spl0_2 ),
inference(resolution,[],[f28,f36]) ).
fof(f159,plain,
( ~ is_aligned(sk1,sk3)
| spl0_5 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f160,plain,
( is_aligned(sk1,sk2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f161,plain,
( spl0_3
| ~ spl0_5
| spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f158,f27,f63,f66,f60]) ).
fof(f164,plain,
( ~ dissimilar(sk1,sk2,sk3)
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f160,f113]) ).
fof(f166,plain,
( ! [X0] :
( ~ is_aligned(sk1,X0)
| ~ dissimilar(sk1,X0,sk2) )
| ~ spl0_4 ),
inference(resolution,[],[f160,f14]) ).
fof(f168,plain,
( spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f166,f63,f106]) ).
fof(f169,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f164,f66,f63,f24]) ).
fof(f175,plain,
( ! [X0] :
( is_aligned(sk1,X0)
| ~ dissimilar(sk1,X0,sk2) )
| spl0_4 ),
inference(resolution,[],[f64,f13]) ).
fof(f188,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f61,f31]) ).
fof(f191,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f193,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f30,f61]) ).
fof(f194,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f195,plain,
( ! [X0,X1] :
( is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk3)
| ~ dissimilar(sk1,X0,X1) )
| spl0_1 ),
inference(resolution,[],[f25,f38]) ).
fof(f197,plain,
( spl0_3
| ~ spl0_5
| spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f195,f24,f63,f66,f60]) ).
fof(f201,plain,
( ! [X0] :
( is_aligned(sk1,X0)
| ~ dissimilar(sk1,X0,sk3) )
| spl0_5 ),
inference(resolution,[],[f159,f13]) ).
fof(f202,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f201,f66,f155]) ).
fof(f204,plain,
( ~ dissimilar(sk1,sk3,sk2)
| spl0_4
| spl0_5 ),
inference(resolution,[],[f175,f159]) ).
fof(f208,plain,
( ~ spl0_2
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f204,f66,f63,f27]) ).
fof(f209,plain,
( ! [X0,X1] :
( is_aligned(sk1,sk3)
| ~ is_aligned(sk1,sk2)
| ~ dissimilar(sk1,X0,X1) )
| spl0_2 ),
inference(resolution,[],[f28,f38]) ).
fof(f238,plain,
( ~ dissimilar(sk1,sk2,sk3)
| spl0_4
| ~ spl0_8 ),
inference(resolution,[],[f156,f64]) ).
fof(f247,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f238,f155,f63,f24]) ).
fof(f254,plain,
( spl0_3
| ~ spl0_4
| spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f209,f27,f66,f63,f60]) ).
fof(f255,plain,
( ~ dissimilar(sk1,sk3,sk2)
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f67,f107]) ).
fof(f259,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f255,f106,f66,f27]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f29]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f32]) ).
cnf(s3,plain,
( spl0_1
| spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f68]) ).
cnf(s6,plain,
( spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f161]) ).
cnf(s7,plain,
( ~ spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f168]) ).
cnf(s8,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f169]) ).
cnf(s11,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f191]) ).
cnf(s12,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f194]) ).
cnf(s13,plain,
( spl0_1
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f197]) ).
cnf(s14,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f202]) ).
cnf(s15,plain,
( ~ spl0_2
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f208]) ).
cnf(s18,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_8 ),
inference(sat_conversion,[],[f247]) ).
cnf(s20,plain,
( spl0_2
| spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f254]) ).
cnf(s21,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f259]) ).
cnf(s22,plain,
( spl0_4
| spl0_1 ),
inference(rat,[],[s13,s15,s12,s2]) ).
cnf(s23,plain,
spl0_1,
inference(rat,[],[s21,s3,s7,s22,s12,s2]) ).
cnf(s24,plain,
~ spl0_3,
inference(rat,[],[s11,s23]) ).
cnf(s25,plain,
~ spl0_2,
inference(rat,[],[s1,s23]) ).
cnf(s26,plain,
spl0_4,
inference(rat,[],[s14,s6,s18,s24,s25,s23]) ).
cnf(s28,plain,
~ spl0_5,
inference(rat,[],[s8,s23,s26]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s20,s25,s24,s28,s26]) ).
fof(f260,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % 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 THM
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 17:29:19 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.73/1.35 % (3632747)Input is clausal, will run a generic CNF schedule.
% 2.73/1.35 % (3632758)dis-21_1_sil=8000:lcm=predicate:random_seed=524274794:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.73/1.35 % (3632758)First to succeed.
% 2.73/1.35 % (3632758)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3632747"
% 2.73/1.35 % (3632754)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3918549289:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.73/1.35 % (3632755)lrs+10_1_sil=8000:sp=occurrence:random_seed=4016458478:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.73/1.35 % (3632753)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2697219151:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.73/1.35 % (3632752)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2553283558:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.73/1.35 % (3632756)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=179178328:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.73/1.35 % (3632757)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2053156287:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.73/1.35 % (3632756)Refutation not found, incomplete strategy
% 2.73/1.35 % (3632756)------------------------------
% 2.73/1.35 % (3632756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.35 % (3632755)Refutation not found, incomplete strategy
% 2.73/1.35 % (3632755)------------------------------
% 2.73/1.35 % (3632755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.35 % (3632755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.35 % (3632756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.35 % (3632756)CaDiCaL version: 2.1.3
% 2.73/1.35 % (3632755)CaDiCaL version: 2.1.3
% 2.73/1.35 % (3632756)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.35 % (3632756)Time elapsed: 0.001 s
% 2.73/1.35 % (3632755)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.35 % (3632755)Time elapsed: 0.001 s
% 2.73/1.35 % (3632755)Peak memory usage: 87 MB
% 2.73/1.35 % (3632756)Peak memory usage: 87 MB
% 2.73/1.35 % (3632757)Also succeeded, but the first one will report.
% 2.73/1.35 % (3632758)Refutation found. Thanks to Tanya!
% 2.73/1.35 % SZS status Unsatisfiable for theBenchmark
% 2.73/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.35 % (3632758)------------------------------
% 2.73/1.35 % (3632758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.35 % (3632758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.35 % (3632758)CaDiCaL version: 2.1.3
% 2.73/1.35 % (3632758)Termination reason: Refutation
% 2.73/1.35 % (3632758)Time elapsed: 0.004 s
% 2.73/1.35 % (3632758)Peak memory usage: 89 MB
% 2.73/1.35 % (3632758)Instructions burned: 7 (million)
% 2.73/1.35 % (3632758)------------------------------
% 2.73/1.35 % (3632758)------------------------------
% 2.73/1.35 % (3632747)Success in time 0.308 s
% 2.73/1.35 % Vampire exiting
%------------------------------------------------------------------------------