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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV386+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n026.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 01:21:08 PM UTC 2026

% Result   : Theorem 0.21s 0.28s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   25 (  14   ~;   4   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   24 (  20   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,axiom,
    ! [X0,X1,X2] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ! [X3] : ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l22_l26) ).

fof(f43,conjecture,
    ! [X0,X1,X2] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ! [X3] :
          ( ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3))
          | ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l22_co) ).

fof(f44,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ~ check_cpq(triple(X0,X1,X2))
       => ! [X3] :
            ( ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3))
            | ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ) ),
    inference(negated_conjecture,[status(cth)],[f43]) ).

fof(f83,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f84,plain,
    ? [X0,X1,X2] :
      ( ? [X3] :
          ( check_cpq(insert_cpq(triple(X0,X1,X2),X3))
          & ok(insert_cpq(triple(X0,X1,X2),X3)) )
      & ~ check_cpq(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f91,plain,
    ( check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3))
    & ok(insert_cpq(triple(sK0,sK1,sK2),sK3))
    & ~ check_cpq(triple(sK0,sK1,sK2)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f84]) ).

fof(f140,plain,
    ! [X2,X3,X0,X1] :
      ( ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f141,plain,
    ~ check_cpq(triple(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f91]) ).

fof(f143,plain,
    check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3)),
    inference(cnf_transformation,[],[f91]) ).

fof(f242,plain,
    check_cpq(triple(sK0,sK1,sK2)),
    inference(resolution,[],[f140,f143]) ).

fof(f244,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f242,f141]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV386+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20  % Computer : n026.cluster.edu
% 0.10/0.20  % Model    : x86_64 x86_64
% 0.10/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20  % Memory   : 8046.5625MB
% 0.10/0.20  % OS       : Linux 6.8.0-71-generic
% 0.10/0.20  % CPULimit : 300
% 0.10/0.20  % WCLimit  : 300
% 0.10/0.20  % DateTime : Mon Sep 28 10:50:27 UTC 2026
% 0.10/0.20  % CPUTime  : 
% 0.10/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23  Running first-order model finding
% 0.10/0.23  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
% 0.21/0.28  % (3775860)Will run a generic schedule for satisfiability detection.
% 0.21/0.28  % (3775870)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1758137164:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.28  % (3775866)% WARNING: option uhcvi not known.
% 0.21/0.28  % (3775870) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3775860-3775870"...
% 0.21/0.28  % (3775870)...printing done.
% 0.21/0.28  % (3775870)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  % (3775870)------------------------------
% 0.21/0.28  % (3775870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28  % (3775870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28  % (3775870)CaDiCaL version: 2.1.3
% 0.21/0.28  % (3775870)Termination reason: Refutation
% 0.21/0.28  % (3775870)Time elapsed: 0.003 s
% 0.21/0.28  % (3775870)Peak memory usage: 12 MB
% 0.21/0.28  % (3775870)Instructions burned: 7 (million)
% 0.21/0.28  % (3775860)Success in time 0.034 s
% 0.21/0.28  % Vampire exiting
%------------------------------------------------------------------------------