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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC262+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% 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 : Fri Sep 25 03:09:04 PM UTC 2026

% Result   : Theorem 1.43s 1.28s
% Output   : CNFRefutation 1.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   47 (  11 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   48 (  13   ~;   6   |;  21   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   16 (   0 sgn   8   !;   8   ?;   0   :)

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

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

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

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

fof(f296,plain,
    ( ssList(sK53)
    & ssList(sK54)
    & ssList(sK55)
    & ssList(sK56)
    & ~ totalorderedP(sK53)
    & totalorderedP(sK55)
    & sK53 = sK55
    & sK54 = sK56 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56)],[f222]) ).

fof(f500,plain,
    ~ totalorderedP(sK53),
    inference(cnf_transformation,[],[f296]) ).

fof(f501,plain,
    totalorderedP(sK55),
    inference(cnf_transformation,[],[f296]) ).

fof(f502,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f296]) ).

fof(f504,plain,
    ~ totalorderedP(sK55),
    inference(definition_unfolding,[],[f500,f502]) ).

tcf(c_246,negated_conjecture,
    totalorderedP(sK55),
    inference(cnf_transformation,[],[f501]) ).

tcf(c_247,negated_conjecture,
    ~ totalorderedP(sK55),
    inference(cnf_transformation,[],[f504]) ).

tcf(c_252,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_247,c_246]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC262+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n011.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Thu Sep 24 17:17:13 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.42  
% 0.13/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.42  
% 0.13/0.42  % Detected problem language: tptp
% 0.13/0.43  % Proving...
% 1.43/1.28  % SZS status Started for theBenchmark.p
% 1.43/1.28  % SZS status Theorem for theBenchmark.p
% 1.43/1.28  
% 1.43/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.43/1.28  
% 1.43/1.28  % ------  iProver source info
% 1.43/1.28  
% 1.43/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 1.43/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.43/1.28  % git: non_committed_changes: false
% 1.43/1.28  
% 1.43/1.28  % ------ Parsing...
% 1.43/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.43/1.28  
% 1.43/1.28  % ------ Preprocessing...% 
% 1.43/1.28  
% 1.43/1.28  % SZS status Theorem for theBenchmark.p
% 1.43/1.28  
% 1.43/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.43/1.28  
% 1.43/1.28  
%------------------------------------------------------------------------------