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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC044+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% 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 : Tue Sep 29 01:04:25 PM UTC 2026

% Result   : Theorem 0.36s 0.46s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   19 (  10 unt;   0 def)
%            Number of atoms       :   60 (  27 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :   61 (  20   ~;  14   |;  16   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   20 (  12   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f52,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( rearsegP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax52) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( nil != X1
                    | X1 != X3
                    | X0 != X2
                    | ~ rearsegP(X3,X2)
                    | nil = X0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( nil != X1
                      | X1 != X3
                      | X0 != X2
                      | ~ rearsegP(X3,X2)
                      | nil = X0 ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f167,plain,
    ! [X0] :
      ( ( rearsegP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( nil = X1
                  & X1 = X3
                  & X0 = X2
                  & rearsegP(X3,X2)
                  & nil != X0
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( nil = X1
                  & X1 = X3
                  & X0 = X2
                  & rearsegP(X3,X2)
                  & nil != X0
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f354,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ~ rearsegP(nil,X0) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f412,plain,
    nil != sK47,
    inference(cnf_transformation,[],[f222]) ).

fof(f413,plain,
    rearsegP(sK50,sK49),
    inference(cnf_transformation,[],[f222]) ).

fof(f414,plain,
    sK47 = sK49,
    inference(cnf_transformation,[],[f222]) ).

fof(f415,plain,
    sK48 = sK50,
    inference(cnf_transformation,[],[f222]) ).

fof(f416,plain,
    nil = sK48,
    inference(cnf_transformation,[],[f222]) ).

fof(f417,plain,
    ssList(sK49),
    inference(cnf_transformation,[],[f222]) ).

fof(f420,plain,
    nil = sK50,
    inference(definition_unfolding,[],[f416,f415]) ).

fof(f437,plain,
    ! [X0] :
      ( ~ rearsegP(sK50,X0)
      | sK50 = X0
      | ~ ssList(X0) ),
    inference(definition_unfolding,[],[f354,f420,f420]) ).

fof(f479,plain,
    sK49 != sK50,
    inference(definition_unfolding,[],[f412,f420,f414]) ).

fof(f639,plain,
    ( sK49 = sK50
    | ~ ssList(sK49) ),
    inference(resolution,[],[f437,f413]) ).

fof(f643,plain,
    ~ ssList(sK49),
    inference(forward_subsumption_resolution,[],[f639,f479]) ).

fof(f644,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f643,f417]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC044+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37  % Computer : n011.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 28 07:35:00 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41  Running first-order model finding
% 0.10/0.41  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
% 0.36/0.46  % (3231567)Will run a generic schedule for satisfiability detection.
% 0.36/0.46  % (3231572)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=965173462_2999 on theBenchmark for (2999ds/0Mi)
% 0.36/0.46  % (3231573)% WARNING: option uhcvi not known.
% 0.36/0.46  % (3231574)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=402033553:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.36/0.46  % (3231573)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2990223565:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.36/0.46  % (3231575)dis+10_1_sil=32000:sp=arity:random_seed=3207683833:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.36/0.46  % (3231576)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2476154821:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.36/0.46  % (3231578)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=151192293:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.36/0.46  % (3231577)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1406805001:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.46  % TRYING [1]
% 0.36/0.46  % TRYING [2]
% 0.36/0.46  % (3231572) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3231567-3231572"...
% 0.36/0.46  % (3231575) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3231567-3231575"...
% 0.36/0.46  % (3231573) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3231567-3231573"...
% 0.36/0.46  % (3231573)...printing done.
% 0.36/0.46  % (3231575)...printing done.
% 0.36/0.46  % (3231573)Refutation found. Thanks to Tanya!
% 0.36/0.46  % SZS status Theorem for theBenchmark
% 0.36/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.46  % (3231573)------------------------------
% 0.36/0.46  % (3231573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.46  % (3231573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.46  % (3231573)CaDiCaL version: 2.1.3
% 0.36/0.46  % (3231573)Termination reason: Refutation
% 0.36/0.46  % (3231573)Time elapsed: 0.007 s
% 0.36/0.46  % (3231573)Peak memory usage: 12 MB
% 0.36/0.46  % (3231573)Instructions burned: 10 (million)
% 0.36/0.46  % (3231567)Success in time 0.042 s
% 0.36/0.46  % Vampire exiting
%------------------------------------------------------------------------------