%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM781^2 : 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 : n010.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 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 6 ( 4 !; 2 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(func_def_0,type,
sK0: a ).
tff(func_def_1,type,
sK1: a ).
tff(f1,conjecture,
! [X0: a,X1: a] :
( ( X0 = X1 )
=> ( X1 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cES_eq_) ).
tff(f2,negated_conjecture,
~ ! [X0: a,X1: a] :
( ( X0 = X1 )
=> ( X1 = X0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
? [X0: a,X1: a] :
( ( X0 != X1 )
& ( X0 = X1 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f4,plain,
( ( sK0 != sK1 )
& ( sK0 = sK1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f3]) ).
tff(f5,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f4]) ).
tff(f6,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f4]) ).
tff(f7,plain,
sK1 != sK1,
inference(definition_unfolding,[],[f6,f5]) ).
tff(f8,plain,
$false,
inference(trivial_inequality_removal,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM781^2 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 12:55:33 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.24 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
% 0.21/0.28 % (2806726)Detected 'Essentially Bernays–Schönfinkel–Ramsey OR Essentially ground' problem, will run a specialized EPR schedule (with support for satisfiability detection).
% 0.21/0.28 % (2806734)ott+21_1_sil=128000:fs=off:lcm=predicate:random_seed=3066786888:i=102:av=off:fsr=off_2999 on theBenchmark for (2999ds/102Mi)
% 0.21/0.28 % (2806734) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2806726-2806734"...
% 0.21/0.28 % (2806734)...printing done.
% 0.21/0.28 % (2806734)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Theorem for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (2806734)------------------------------
% 0.21/0.28 % (2806734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (2806734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (2806734)CaDiCaL version: 2.1.3
% 0.21/0.28 % (2806734)Termination reason: Refutation
% 0.21/0.28 % (2806734)Time elapsed: 0.0000 s
% 0.21/0.28 % (2806734)Peak memory usage: 11 MB
% 0.21/0.28 % (2806726)Success in time 0.033 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------