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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV395+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 : n012.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 01:21:09 PM UTC 2026

% Result   : Theorem 0.06s 0.17s
% Output   : Refutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   6 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   18 (   6   ~;   0   |;  10   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   22 (  14   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax22) ).

fof(f42,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( pair_in_list(create_slb,X2,X3)
        & strictly_less_than(X2,X3)
        & ok(remove_cpq(triple(X0,create_slb,X1),X2)) )
     => pair_in_list(remove_slb(create_slb,X2),X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l31_co) ).

fof(f43,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( pair_in_list(create_slb,X2,X3)
          & strictly_less_than(X2,X3)
          & ok(remove_cpq(triple(X0,create_slb,X1),X2)) )
       => pair_in_list(remove_slb(create_slb,X2),X2,X3) ),
    inference(negated_conjecture,[status(cth)],[f42]) ).

fof(f75,plain,
    ? [X0,X1,X2,X3] :
      ( ~ pair_in_list(remove_slb(create_slb,X2),X2,X3)
      & pair_in_list(create_slb,X2,X3)
      & strictly_less_than(X2,X3)
      & ok(remove_cpq(triple(X0,create_slb,X1),X2)) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f76,plain,
    ? [X0,X1,X2,X3] :
      ( ~ pair_in_list(remove_slb(create_slb,X2),X2,X3)
      & pair_in_list(create_slb,X2,X3)
      & strictly_less_than(X2,X3)
      & ok(remove_cpq(triple(X0,create_slb,X1),X2)) ),
    inference(flattening,[],[f75]) ).

fof(f90,plain,
    ! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
    inference(cnf_transformation,[],[f10]) ).

fof(f129,plain,
    pair_in_list(create_slb,sK2,sK3),
    inference(cnf_transformation,[],[f76]) ).

fof(f149,plain,
    ! [X0,X1] : pair_in_list(create_slb,X0,X1),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f178,plain,
    ~ pair_in_list(create_slb,sK2,sK3),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f181,plain,
    $false,
    inference(backward_subsumption_resolution,[],[f178,f149]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWV395+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.12  % Computer : n012.cluster.edu
% 0.06/0.12  % Model    : x86_64 x86_64
% 0.06/0.12  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.12  % Memory   : 8046.5625MB
% 0.06/0.12  % OS       : Linux 6.8.0-71-generic
% 0.06/0.12  % CPULimit : 300
% 0.06/0.12  % WCLimit  : 300
% 0.06/0.12  % DateTime : Mon Sep 28 10:49:49 UTC 2026
% 0.06/0.12  % CPUTime  : 
% 0.06/0.12  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.13  Running first-order model finding
% 0.06/0.13  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
% 0.06/0.17  % (3307633)Will run a generic schedule for satisfiability detection.
% 0.06/0.17  % (3307639)% WARNING: option uhcvi not known.
% 0.06/0.17  % (3307638)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=520054350_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.17  % (3307639)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1525294752:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.17  % (3307640)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4075764096:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.06/0.17  % (3307641)dis+10_1_sil=32000:sp=arity:random_seed=1265846397:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.06/0.17  % (3307642)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2189638341:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.17  % (3307643)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4161256389:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.06/0.17  % (3307644)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=55295035:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.06/0.17  % (3307639) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3307633-3307639"...
% 0.06/0.17  % (3307641) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3307633-3307641"...
% 0.06/0.17  % (3307640) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3307633-3307640"...
% 0.06/0.17  % (3307642) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3307633-3307642"...
% 0.06/0.17  % (3307643) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3307633-3307643"...
% 0.06/0.17  % (3307644) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3307633-3307644"...
% 0.06/0.17  % (3307639)...printing done.
% 0.06/0.17  % (3307641)...printing done.
% 0.06/0.17  % (3307642)...printing done.
% 0.06/0.17  % (3307640)...printing done.
% 0.06/0.17  % (3307643)...printing done.
% 0.06/0.17  % (3307644)...printing done.
% 0.06/0.17  % (3307639)Refutation found. Thanks to Tanya!
% 0.06/0.17  % SZS status Theorem for theBenchmark
% 0.06/0.17  % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.17  % (3307639)------------------------------
% 0.06/0.17  % (3307639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.17  % (3307639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.17  % (3307639)CaDiCaL version: 2.1.3
% 0.06/0.17  % (3307639)Termination reason: Refutation
% 0.06/0.17  % (3307639)Time elapsed: 0.001 s
% 0.06/0.17  % (3307639)Peak memory usage: 11 MB
% 0.06/0.17  % (3307639)Instructions burned: 2 (million)
% 0.06/0.17  % (3307633)Success in time 0.028 s
% 0.06/0.17  % Vampire exiting
%------------------------------------------------------------------------------