%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM781^3 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 : Wed Sep 30 08:18:51 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( cY = cX
=> cX = cY ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM76) ).
fof(f2,negated_conjecture,
~ ( cY = cX
=> cX = cY ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( cY != cX
& cY = cX ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
cY = cX,
inference(cnf_transformation,[],[f3]) ).
fof(f5,plain,
cY != cX,
inference(cnf_transformation,[],[f3]) ).
fof(f6,plain,
cX != cX,
inference(definition_unfolding,[],[f5,f4]) ).
fof(f7,plain,
$false,
inference(trivial_inequality_removal,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM781^3 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 12:56:04 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.22 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
% 0.08/0.26 % (1007814)Detected 'Essentially Bernays–Schönfinkel–Ramsey OR Essentially ground' problem, will run a specialized EPR schedule (with support for satisfiability detection).
% 0.08/0.26 % (1007819)lrs+1_1024_to=lpo:sp=weighted_frequency:random_seed=2835233812:amm=off_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26 % (1007819) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1007814-1007819"...
% 0.08/0.26 % (1007819)...printing done.
% 0.08/0.26 % (1007819)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Theorem for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (1007819)------------------------------
% 0.08/0.26 % (1007819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (1007819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (1007819)CaDiCaL version: 2.1.3
% 0.08/0.26 % (1007819)Termination reason: Refutation
% 0.08/0.26 % (1007819)Time elapsed: 0.0000 s
% 0.08/0.26 % (1007819)Peak memory usage: 11 MB
% 0.08/0.26 % (1007814)Success in time 0.025 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------