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Vampire-SAT---5.0.1.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM484+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n007.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 12:24:30 PM UTC 2026

% Result   : ContradictoryAxioms 0.17s 0.47s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   5 unt;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41,axiom,
    ~ isPrime0(xk),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1725) ).

fof(f42,axiom,
    isPrime0(xk),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1737) ).

fof(f198,plain,
    ~ isPrime0(xk),
    inference(cnf_transformation,[],[f41]) ).

fof(f199,plain,
    isPrime0(xk),
    inference(cnf_transformation,[],[f42]) ).

fof(f234,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f199,f198]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM484+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38  % Computer : n007.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Sun Sep 27 20:05:40 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42  Running first-order model finding
% 0.13/0.42  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47  % (1749676)Will run a generic schedule for satisfiability detection.
% 0.17/0.47  % (1749684)dis+10_1_sil=32000:sp=arity:random_seed=1720441874:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47  % (1749684) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1749676-1749684"...
% 0.17/0.47  % (1749682)% WARNING: option uhcvi not known.
% 0.17/0.47  % (1749684)...printing done.
% 0.17/0.47  % (1749684)Refutation found. Thanks to Tanya!
% 0.17/0.47  % SZS status ContradictoryAxioms for theBenchmark
% 0.17/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47  % (1749684)------------------------------
% 0.17/0.47  % (1749684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47  % (1749684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47  % (1749684)CaDiCaL version: 2.1.3
% 0.17/0.47  % (1749684)Termination reason: Refutation
% 0.17/0.47  % (1749684)Time elapsed: 0.002 s
% 0.17/0.47  % (1749684)Peak memory usage: 11 MB
% 0.17/0.47  % (1749684)Instructions burned: 3 (million)
% 0.17/0.47  % (1749676)Success in time 0.043 s
% 0.17/0.47  % Vampire exiting
%------------------------------------------------------------------------------