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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR031+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n009.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 09:44:26 AM UTC 2026

% Result   : Theorem 0.20s 0.30s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   23 (  15   ~;   6   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f289,axiom,
    ! [X0] :
      ~ ( collection(X0)
        & individual(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_289) ).

fof(f447,axiom,
    individual(c_tptptptpcol_16_8398),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_447) ).

fof(f1119,axiom,
    ! [X0,X1] :
      ( disjointwith(X0,X1)
     => collection(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1119) ).

fof(f1132,conjecture,
    ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query81) ).

fof(f1133,negated_conjecture,
    ~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1134,plain,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(flattening,[],[f1133]) ).

fof(f1363,plain,
    ! [X0] :
      ( ~ collection(X0)
      | ~ individual(X0) ),
    inference(ennf_transformation,[],[f289]) ).

fof(f2007,plain,
    ! [X0,X1] :
      ( collection(X0)
      | ~ disjointwith(X0,X1) ),
    inference(ennf_transformation,[],[f1119]) ).

fof(f2310,plain,
    ! [X0] :
      ( ~ collection(X0)
      | ~ individual(X0) ),
    inference(cnf_transformation,[],[f1363]) ).

fof(f2467,plain,
    individual(c_tptptptpcol_16_8398),
    inference(cnf_transformation,[],[f447]) ).

fof(f3049,plain,
    ! [X0,X1] :
      ( collection(X0)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[],[f2007]) ).

fof(f3062,plain,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(cnf_transformation,[],[f1134]) ).

fof(f3255,plain,
    ! [X0] :
      ( collection(X0)
      | ~ individual(X0) ),
    inference(consistent_polarity_flipping,[],[f2310]) ).

fof(f3895,plain,
    ! [X0,X1] :
      ( ~ disjointwith(X0,X1)
      | ~ collection(X0) ),
    inference(consistent_polarity_flipping,[],[f3049]) ).

fof(f6680,plain,
    ~ collection(c_tptptptpcol_16_8398),
    inference(resolution,[],[f3895,f3062]) ).

fof(f6683,plain,
    ~ individual(c_tptptptpcol_16_8398),
    inference(resolution,[],[f6680,f3255]) ).

fof(f6684,plain,
    $false,
    inference(resolution,[],[f6683,f2467]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR031+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19  % Computer : n009.cluster.edu
% 0.10/0.19  % Model    : x86_64 x86_64
% 0.10/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19  % Memory   : 8046.5625MB
% 0.10/0.19  % OS       : Linux 6.8.0-71-generic
% 0.10/0.19  % CPULimit : 300
% 0.10/0.19  % WCLimit  : 300
% 0.10/0.19  % DateTime : Mon Sep 28 22:11:45 UTC 2026
% 0.10/0.19  % CPUTime  : 
% 0.10/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22  Running first-order model finding
% 0.10/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.29  % (3550217)Will run a generic schedule for satisfiability detection.
% 0.20/0.29  % (3550223)% WARNING: option uhcvi not known.
% 0.20/0.29  % (3550224)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=170453572:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29  % (3550225)dis+10_1_sil=32000:sp=arity:random_seed=1813021099:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29  % (3550226)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2161182175:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29  % (3550222)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4104906170_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29  % (3550223)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2767289005:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29  % (3550228)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3903960822:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29  % (3550227)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=554170152:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.30  % (3550228) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3550217-3550228"...
% 0.20/0.30  % (3550228)...printing done.
% 0.20/0.30  % (3550225) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3550217-3550225"...
% 0.20/0.30  % (3550223) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3550217-3550223"...
% 0.20/0.30  % (3550228)Refutation found. Thanks to Tanya!
% 0.20/0.30  % SZS status Theorem for theBenchmark
% 0.20/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.30  % (3550228)------------------------------
% 0.20/0.30  % (3550228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30  % (3550228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30  % (3550228)CaDiCaL version: 2.1.3
% 0.20/0.30  % (3550228)Termination reason: Refutation
% 0.20/0.30  % (3550228)Time elapsed: 0.026 s
% 0.20/0.30  % (3550228)Peak memory usage: 15 MB
% 0.20/0.30  % (3550228)Instructions burned: 69 (million)
% 0.20/0.30  % (3550217)Success in time 0.072 s
% 0.20/0.30  % Vampire exiting
%------------------------------------------------------------------------------