%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MSC008-1.002 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:05:44 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.44s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 17
% Syntax : Number of formulae : 32 ( 5 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 99 ( 48 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 96 ( 96 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
~ eq(p_1,p_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_1_is_not_p_2) ).
fof(f2,axiom,
! [X0] : eq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f3,axiom,
! [X0,X1] :
( ~ eq(X0,X1)
| eq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ latin(X0,X1,X2)
| ~ latin(X0,X1,X3)
| eq(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_element_is_unique) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ latin(X0,X1,X2)
| ~ latin(X0,X3,X2)
| eq(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_column_is_unique) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ latin(X0,X1,X2)
| ~ latin(X3,X1,X2)
| eq(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_row_is_unique) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ greek(X0,X1,X2)
| ~ greek(X0,X1,X3)
| eq(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_element_is_unique) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ greek(X0,X1,X2)
| ~ greek(X0,X3,X2)
| eq(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_column_is_unique) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ greek(X0,X1,X2)
| ~ greek(X3,X1,X2)
| eq(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_row_is_unique) ).
fof(f10,axiom,
! [X0,X1] :
( latin(X0,X1,p_1)
| latin(X0,X1,p_2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_cell_element) ).
fof(f11,axiom,
! [X0,X1] :
( latin(X0,p_1,X1)
| latin(X0,p_2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_column_required) ).
fof(f12,axiom,
! [X0,X1] :
( latin(p_1,X0,X1)
| latin(p_2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',latin_row_required) ).
fof(f13,axiom,
! [X0,X1] :
( greek(X0,X1,p_1)
| greek(X0,X1,p_2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_cell_element) ).
fof(f14,axiom,
! [X0,X1] :
( greek(X0,p_1,X1)
| greek(X0,p_2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_column_required) ).
fof(f15,axiom,
! [X0,X1] :
( greek(p_1,X0,X1)
| greek(p_2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greek_row_required) ).
fof(f16,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ greek(X0,X1,X2)
| ~ latin(X0,X1,X3)
| ~ greek(X4,X5,X2)
| ~ latin(X4,X5,X3)
| eq(X1,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_two_same1) ).
fof(f17,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ greek(X0,X1,X2)
| ~ latin(X0,X1,X3)
| ~ greek(X4,X5,X2)
| ~ latin(X4,X5,X3)
| eq(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_two_same2) ).
fof(f18,plain,
eq(p_1,p_2),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f19,plain,
! [X0] : ~ eq(X0,X0),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f20,plain,
! [X0,X1] :
( eq(X0,X1)
| ~ eq(X1,X0) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( latin(X0,X1,X2)
| latin(X0,X1,X3)
| ~ eq(X2,X3) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( latin(X0,X1,X2)
| latin(X0,X3,X2)
| ~ eq(X1,X3) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f23,plain,
! [X2,X3,X0,X1] :
( latin(X0,X1,X2)
| latin(X3,X1,X2)
| ~ eq(X0,X3) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f24,plain,
! [X2,X3,X0,X1] :
( ~ greek(X0,X1,X2)
| ~ greek(X0,X1,X3)
| ~ eq(X2,X3) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f25,plain,
! [X2,X3,X0,X1] :
( ~ greek(X0,X1,X2)
| ~ greek(X0,X3,X2)
| ~ eq(X1,X3) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f26,plain,
! [X2,X3,X0,X1] :
( ~ greek(X0,X1,X2)
| ~ greek(X3,X1,X2)
| ~ eq(X0,X3) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f27,plain,
! [X0,X1] :
( ~ latin(X0,X1,p_1)
| ~ latin(X0,X1,p_2) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f28,plain,
! [X0,X1] :
( ~ latin(X0,p_1,X1)
| ~ latin(X0,p_2,X1) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f29,plain,
! [X0,X1] :
( ~ latin(p_1,X0,X1)
| ~ latin(p_2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f30,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ greek(X0,X1,X2)
| latin(X0,X1,X3)
| ~ greek(X4,X5,X2)
| latin(X4,X5,X3)
| ~ eq(X1,X5) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f31,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ greek(X0,X1,X2)
| latin(X0,X1,X3)
| ~ greek(X4,X5,X2)
| latin(X4,X5,X3)
| ~ eq(X0,X4) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f59,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f13,f14,f15,f30,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC008-1.002 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 17:45:18 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 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
% 0.14/0.44 % (2876381)Will run a generic schedule for satisfiability detection.
% 0.14/0.44 % (2876386)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=436358238_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.44 % Detected minimum model sizes of [1]
% 0.14/0.44 % Detected maximum model sizes of [2]
% 0.14/0.44 % TRYING [1]
% 0.14/0.44 % TRYING [2]
% 0.14/0.44 % (2876386) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2876381-2876386"...
% 0.14/0.44 % (2876386)...printing done.
% 0.14/0.44 % (2876386)Refutation found. Thanks to Tanya!
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.44 % (2876386)------------------------------
% 0.14/0.44 % (2876386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.44 % (2876386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.44 % (2876386)CaDiCaL version: 2.1.3
% 0.14/0.44 % (2876386)Termination reason: Refutation
% 0.14/0.44 % (2876386)Time elapsed: 0.001 s
% 0.14/0.44 % (2876386)Peak memory usage: 11 MB
% 0.14/0.44 % (2876386)Instructions burned: 3 (million)
% 0.14/0.44 % (2876381)Success in time 0.026 s
% 0.14/0.44 % Vampire exiting
%------------------------------------------------------------------------------