%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV079^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 : Wed Sep 30 08:37:36 AM UTC 2026
% Result : Theorem 0.29s 0.42s
% Output : Refutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 6 ~; 0 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 12 ( 6 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( ( X1 = X2
& X0 = X1 )
=> X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRANS_ID_pme) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( ( X1 = X2
& X0 = X1 )
=> X0 = X2 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X0,X1,X2] :
( X0 != X2
& X1 = X2
& X0 = X1 ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
? [X0,X1,X2] :
( X0 != X2
& X1 = X2
& X0 = X1 ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( sK0 != sK2
& sK1 = sK2
& sK0 = sK1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f4]) ).
fof(f6,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
sK1 = sK2,
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
sK0 != sK2,
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
sK0 = sK2,
inference(definition_unfolding,[],[f6,f7]) ).
fof(f10,plain,
sK2 != sK2,
inference(definition_unfolding,[],[f8,f9]) ).
fof(f12,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEV079^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.29 % Computer : n019.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8046.5625MB
% 0.11/0.29 % OS : Linux 6.8.0-71-generic
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue Sep 29 15:06:48 UTC 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.29/0.35 Running higher-order theorem proving
% 0.29/0.36 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.29/0.42 % (899247)Detected 'Essentially Bernays–Schönfinkel–Ramsey OR Essentially ground' problem, will run a specialized EPR schedule (with support for satisfiability detection).
% 0.29/0.42 % (899258)fmb+10_1_sil=16000:sas=cadical:random_seed=564086704:i=102_2999 on theBenchmark for (2999ds/102Mi)
% 0.29/0.42 % Detected minimum model sizes of [1]
% 0.29/0.42 % Detected maximum model sizes of [1]
% 0.29/0.42 % TRYING [1]
% 0.29/0.42 % (899258) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-899247-899258"...
% 0.29/0.42 % (899258)...printing done.
% 0.29/0.42 % (899258)Refutation found. Thanks to Tanya!
% 0.29/0.42 % SZS status Theorem for theBenchmark
% 0.29/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.29/0.42 % (899258)------------------------------
% 0.29/0.42 % (899258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.42 % (899258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.42 % (899258)CaDiCaL version: 2.1.3
% 0.29/0.42 % (899258)Termination reason: Refutation
% 0.29/0.42 % (899258)Time elapsed: 0.001 s
% 0.29/0.42 % (899258)Peak memory usage: 11 MB
% 0.29/0.42 % (899247)Success in time 0.042 s
% 0.29/0.42 % Vampire exiting
%------------------------------------------------------------------------------