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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC127+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QuceQvdvYX true

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:58:42 PM UTC 2025

% Result   : Theorem 0.52s 0.79s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   28 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :   63 (  14 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  133 (  25   ~;  20   |;   4   &;  73   @)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^;  13   !;   0   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__5_type,type,
    sk__5: $i ).

thf(nil_type,type,
    nil: $i ).

thf(ssList_type,type,
    ssList: $i > $o ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(neq_type,type,
    neq: $i > $i > $o ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(singletonP_type,type,
    singletonP: $i > $o ).

thf(segmentP_type,type,
    segmentP: $i > $i > $o ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( V != X )
                    | ( U != W )
                    | ~ ( neq @ V @ nil )
                    | ~ ( segmentP @ X @ W )
                    | ( ~ ( singletonP @ W )
                      & ( neq @ X @ nil ) )
                    | ( ( neq @ U @ nil )
                      & ( segmentP @ V @ U ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ( ( V != X )
                      | ( U != W )
                      | ~ ( neq @ V @ nil )
                      | ~ ( segmentP @ X @ W )
                      | ( ~ ( singletonP @ W )
                        & ( neq @ X @ nil ) )
                      | ( ( neq @ U @ nil )
                        & ( segmentP @ V @ U ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl29,plain,
    ( ( singletonP @ sk__7 )
    | ~ ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27,plain,
    neq @ sk__6 @ nil,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    neq @ sk__8 @ nil,
    inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl31]) ).

thf(zip_derived_cl43,plain,
    singletonP @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl42]) ).

thf(zip_derived_cl24,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl28]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl11,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(ax15,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( neq @ U @ V )
          <=> ( U != V ) ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( neq @ X0 @ nil )
      | ( X0 = nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl10]) ).

thf(zip_derived_cl137,plain,
    ( ( sk__7 = nil )
    | ( neq @ sk__7 @ nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl58]) ).

thf(zip_derived_cl26,plain,
    ( ~ ( neq @ sk__5 @ nil )
    | ~ ( segmentP @ sk__6 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28_001,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28_002,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38,plain,
    ( ~ ( neq @ sk__7 @ nil )
    | ~ ( segmentP @ sk__6 @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl28,zip_derived_cl28]) ).

thf(zip_derived_cl31_003,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    ( ~ ( neq @ sk__7 @ nil )
    | ~ ( segmentP @ sk__8 @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl31]) ).

thf(zip_derived_cl30,plain,
    segmentP @ sk__8 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    ~ ( neq @ sk__7 @ nil ),
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl30]) ).

thf(zip_derived_cl175,plain,
    sk__7 = nil,
    inference(clc,[status(thm)],[zip_derived_cl137,zip_derived_cl44]) ).

thf(ax39,axiom,
    ~ ( singletonP @ nil ) ).

thf(zip_derived_cl16,plain,
    ~ ( singletonP @ nil ),
    inference(cnf,[status(esa)],[ax39]) ).

thf(zip_derived_cl179,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl175,zip_derived_cl16]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : SWC127+1 : TPTP v9.2.0. Released v2.4.0.
% 0.03/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QuceQvdvYX true
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Oct  1 17:11:38 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.40/0.61  % Total configuration time : 435
% 0.40/0.61  % Estimated wc time : 1092
% 0.40/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.79  % Solved by fo/fo4.sh.
% 0.52/0.79  % done 60 iterations in 0.031s
% 0.52/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.79  % SZS output start Refutation
% See solution above
% 0.52/0.79  
% 0.52/0.79  
% 0.52/0.79  % Terminating...
% 0.55/0.84  % Runner terminated.
% 1.56/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------