%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM782^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 0.22s 0.28s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% 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 : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
rat: $tType ).
tff(func_def_0,type,
x0: rat ).
tff(func_def_1,type,
y0: rat ).
tff(func_def_2,type,
z0: rat ).
tff(f1,axiom,
x0 = y0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i) ).
tff(f2,axiom,
y0 = z0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',j) ).
tff(f3,conjecture,
x0 = z0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz80) ).
tff(f4,negated_conjecture,
( ( ~ x0 ) = z0 ),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f5,plain,
x0 != z0,
inference(flattening,[],[f4]) ).
tff(f6,plain,
x0 = y0,
inference(cnf_transformation,[],[f1]) ).
tff(f7,plain,
y0 = z0,
inference(cnf_transformation,[],[f2]) ).
tff(f8,plain,
x0 != z0,
inference(cnf_transformation,[],[f5]) ).
tff(f9,plain,
x0 = z0,
inference(definition_unfolding,[],[f6,f7]) ).
tff(f10,plain,
z0 != z0,
inference(definition_unfolding,[],[f8,f9]) ).
tff(f11,plain,
$false,
inference(trivial_inequality_removal,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM782^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n011.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 12:55:31 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.28 % (46969)Detected 'Essentially Bernays–Schönfinkel–Ramsey OR Essentially ground' problem, will run a specialized EPR schedule (with support for satisfiability detection).
% 0.22/0.28 % (46979)lrs+35_1024_to=lpo:sil=64000:random_seed=2196322263:i=235:fsr=off:amm=off_2999 on theBenchmark for (2999ds/235Mi)
% 0.22/0.28 % (46979) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-46969-46979"...
% 0.22/0.28 % (46979)...printing done.
% 0.22/0.28 % (46979)Refutation found. Thanks to Tanya!
% 0.22/0.28 % SZS status Theorem for theBenchmark
% 0.22/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.29 % (46979)------------------------------
% 0.22/0.29 % (46979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (46979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (46979)CaDiCaL version: 2.1.3
% 0.22/0.29 % (46979)Termination reason: Refutation
% 0.22/0.29 % (46979)Time elapsed: 0.0000 s
% 0.22/0.29 % (46979)Peak memory usage: 11 MB
% 0.22/0.29 % (46969)Success in time 0.025 s
% 0.22/0.29 % Vampire exiting
%------------------------------------------------------------------------------