%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MSC008-2.002 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:04:57 PM UTC 2026
% Result : Unsatisfiable 3.45s 1.45s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 66 ( 12 unt; 6 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 185 ( 95 ~; 84 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
~ eq(p1,p2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1_is_not_p2) ).
fof(f3,axiom,
! [X0,X1] :
( eq(X1,X0)
| ~ eq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( eq(X3,X2)
| ~ latin(X0,X1,X3)
| ~ latin(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_element_is_unique) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( eq(X3,X1)
| ~ latin(X0,X3,X2)
| ~ latin(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_column_is_unique) ).
fof(f10,axiom,
! [X0,X1] :
( latin(X0,X1,p2)
| latin(X0,X1,p1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_cell_element) ).
fof(f11,axiom,
! [X0,X1] :
( latin(X0,p2,X1)
| latin(X0,p1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_column_required) ).
fof(f12,axiom,
! [X0,X1] :
( latin(p2,X0,X1)
| latin(p1,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_row_required) ).
fof(f13,axiom,
! [X0,X1] :
( greek(X0,X1,p2)
| greek(X0,X1,p1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_cell_element) ).
fof(f14,axiom,
! [X0,X1] :
( greek(X0,p2,X1)
| greek(X0,p1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_column_required) ).
fof(f15,axiom,
! [X0,X1] :
( greek(p2,X0,X1)
| greek(p1,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_row_required) ).
fof(f16,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( eq(X4,X0)
| ~ latin(X0,X1,X3)
| ~ greek(X4,X5,X2)
| ~ latin(X4,X5,X3)
| eq(X5,X1)
| ~ greek(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_two_same) ).
fof(f20,definition,
( spl0_1
<=> ! [X1] :
( ~ latin(p1,p1,X1)
| ~ latin(p2,p2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f21,plain,
( ! [X1] :
( ~ latin(p2,p2,X1)
| ~ latin(p1,p1,X1) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f23,definition,
( spl0_2
<=> ! [X0] :
( ~ greek(p1,p1,X0)
| ~ greek(p2,p2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f24,plain,
( ! [X0] :
( ~ greek(p2,p2,X0)
| ~ greek(p1,p1,X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f26,plain,
~ eq(p2,p1),
inference(resolution,[],[f3,f1]) ).
fof(f29,plain,
! [X2,X3,X0,X1] :
( eq(X2,X0)
| ~ greek(p2,X2,X3)
| ~ latin(p2,X2,X1)
| ~ latin(p1,X0,X1)
| ~ greek(p1,X0,X3) ),
inference(resolution,[],[f26,f16]) ).
fof(f31,definition,
( spl0_3
<=> ! [X1] :
( ~ latin(p1,p2,X1)
| ~ latin(p2,p1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f32,plain,
( ! [X1] :
( ~ latin(p2,p1,X1)
| ~ latin(p1,p2,X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f34,definition,
( spl0_4
<=> ! [X0] :
( ~ greek(p1,p2,X0)
| ~ greek(p2,p1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f35,plain,
( ! [X0] :
( ~ greek(p2,p1,X0)
| ~ greek(p1,p2,X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f47,plain,
! [X0,X1] :
( ~ greek(p2,p1,X0)
| ~ latin(p2,p1,X1)
| ~ latin(p1,p2,X1)
| ~ greek(p1,p2,X0) ),
inference(resolution,[],[f29,f1]) ).
fof(f48,plain,
! [X0,X1] :
( ~ greek(p2,p2,X0)
| ~ latin(p2,p2,X1)
| ~ latin(p1,p1,X1)
| ~ greek(p1,p1,X0) ),
inference(resolution,[],[f29,f26]) ).
fof(f49,plain,
( ! [X0] :
( ~ latin(p1,p2,X0)
| latin(p1,p1,X0) )
| ~ spl0_3 ),
inference(resolution,[],[f12,f32]) ).
fof(f51,plain,
( ! [X0] :
( latin(p1,p1,X0)
| latin(p1,p1,X0) )
| ~ spl0_3 ),
inference(resolution,[],[f49,f11]) ).
fof(f53,plain,
( ! [X0] : latin(p1,p1,X0)
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f51]) ).
fof(f56,definition,
( spl0_7
<=> greek(p1,p1,p2) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f57,plain,
( ~ greek(p1,p1,p2)
| spl0_7 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,definition,
( spl0_8
<=> greek(p2,p2,p1) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f60,plain,
( greek(p2,p2,p1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f65,plain,
! [X0,X1] :
( ~ latin(X0,X1,p2)
| ~ latin(X0,X1,p1) ),
inference(resolution,[],[f4,f1]) ).
fof(f70,plain,
( ~ latin(p1,p1,p1)
| ~ spl0_3 ),
inference(resolution,[],[f65,f53]) ).
fof(f76,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f70,f53]) ).
fof(f77,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f78,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f47,f34,f31]) ).
fof(f80,plain,
( ! [X0] :
( ~ greek(p1,p2,X0)
| greek(p1,p1,X0) )
| ~ spl0_4 ),
inference(resolution,[],[f35,f15]) ).
fof(f94,plain,
! [X0,X1] :
( ~ latin(X0,p2,X1)
| ~ latin(X0,p1,X1) ),
inference(resolution,[],[f5,f1]) ).
fof(f100,plain,
( ! [X0] :
( greek(p1,p1,X0)
| greek(p1,p1,X0) )
| ~ spl0_4 ),
inference(resolution,[],[f80,f14]) ).
fof(f102,plain,
( ! [X0] : greek(p1,p1,X0)
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f100]) ).
fof(f108,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f48,f23,f20]) ).
fof(f109,plain,
( ! [X0] :
( latin(p1,p2,X0)
| ~ latin(p1,p1,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f21,f12]) ).
fof(f125,plain,
( ! [X0] :
( ~ latin(p1,p1,X0)
| ~ latin(p1,p1,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f94,f109]) ).
fof(f126,plain,
( ! [X0] : ~ latin(p1,p1,X0)
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f125]) ).
fof(f128,plain,
( latin(p1,p1,p1)
| ~ spl0_1 ),
inference(resolution,[],[f126,f10]) ).
fof(f133,plain,
( ~ greek(p1,p1,p2)
| greek(p2,p2,p1)
| ~ spl0_2 ),
inference(resolution,[],[f24,f13]) ).
fof(f134,plain,
( spl0_8
| ~ spl0_7
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f133,f23,f56,f59]) ).
fof(f135,plain,
( $false
| ~ spl0_4
| spl0_7 ),
inference(resolution,[],[f57,f102]) ).
fof(f137,plain,
( ~ spl0_4
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f138,plain,
( ~ greek(p1,p1,p1)
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f60,f24]) ).
fof(f148,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[],[f138,f102]) ).
fof(f149,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f148]) ).
fof(f177,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f128,f126]) ).
fof(f178,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f177]) ).
cnf(s6,plain,
~ spl0_3,
inference(sat_conversion,[],[f77]) ).
cnf(s7,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f78]) ).
cnf(s11,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f108]) ).
cnf(s15,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f134]) ).
cnf(s16,plain,
( ~ spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f137]) ).
cnf(s19,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(sat_conversion,[],[f149]) ).
cnf(s26,plain,
~ spl0_1,
inference(sat_conversion,[],[f178]) ).
cnf(s27,plain,
spl0_2,
inference(rat,[],[s11,s26]) ).
cnf(s28,plain,
spl0_4,
inference(rat,[],[s7,s6]) ).
cnf(s29,plain,
~ spl0_8,
inference(rat,[],[s19,s27,s28]) ).
cnf(s30,plain,
spl0_7,
inference(rat,[],[s16,s28]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s15,s27,s29,s30]) ).
fof(f179,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC008-2.002 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 17:45:32 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 3.45/1.45 % (2876789)Input is clausal, will run a generic CNF schedule.
% 3.45/1.45 % (2876794)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=8164038:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.45/1.45 % (2876797)lrs+10_1_sil=8000:sp=occurrence:random_seed=299712012:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.45/1.45 % (2876798)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4075830232:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.45/1.45 % (2876796)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=395044889:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.45/1.45 % (2876795)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=325975735:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.45/1.45 % (2876800)dis-21_1_sil=8000:lcm=predicate:random_seed=1363754446: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)
% 3.45/1.45 % (2876799)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2467652082:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.45/1.45 % (2876800)First to succeed.
% 3.45/1.45 % (2876799)Also succeeded, but the first one will report.
% 3.45/1.45 % (2876800)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2876789"
% 3.45/1.45 % (2876798)Also succeeded, but the first one will report.
% 3.45/1.45 % (2876797)Also succeeded, but the first one will report.
% 3.45/1.45 % (2876800)Refutation found. Thanks to Tanya!
% 3.45/1.45 % SZS status Unsatisfiable for theBenchmark
% 3.45/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.45/1.45 % (2876800)------------------------------
% 3.45/1.45 % (2876800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.45 % (2876800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.45 % (2876800)CaDiCaL version: 2.1.3
% 3.45/1.45 % (2876800)Termination reason: Refutation
% 3.45/1.45 % (2876800)Time elapsed: 0.004 s
% 3.45/1.45 % (2876800)Peak memory usage: 89 MB
% 3.45/1.45 % (2876800)Instructions burned: 4 (million)
% 3.45/1.45 % (2876800)------------------------------
% 3.45/1.45 % (2876800)------------------------------
% 3.45/1.45 % (2876789)Success in time 0.405 s
% 3.45/1.45 % Vampire exiting
%------------------------------------------------------------------------------