↑ Up

Z3---4.15.1.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : CSR232+1 : TPTP v9.0.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n007.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 : Sat Jun 21 05:04:25 AM UTC 2025

% Result   : Theorem 31.94s 32.12s
% Output   : Proof 32.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   35
% Syntax   : Number of formulae    :   73 (  22 unt;   0 typ;   0 def)
%            Number of atoms       :  380 (   0 equ)
%            Maximal formula atoms :   12 (   5 avg)
%            Number of connectives :  542 ( 260   ~; 209   |;  30   &)
%                                         (  40 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   25 (  25 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :  153 ( 137   !;   7   ?; 153   :)

% Comments : 
%------------------------------------------------------------------------------
tff(p__d__subclass_type,type,
    p__d__subclass: ( $i * $i ) > $o ).

tff(c__IntentionalProcess_type,type,
    c__IntentionalProcess: $i ).

tff(c__Gesture_type,type,
    c__Gesture: $i ).

tff(c__Communication_type,type,
    c__Communication: $i ).

tff(c__SocialInteraction_type,type,
    c__SocialInteraction: $i ).

tff(c__Clapping_type,type,
    c__Clapping: $i ).

tff(c__Impacting_type,type,
    c__Impacting: $i ).

tff(c__HandGesture_type,type,
    c__HandGesture: $i ).

tff(1,plain,
    ( p__d__subclass(c__Communication,c__SocialInteraction)
  <=> p__d__subclass(c__Communication,c__SocialInteraction) ),
    inference(rewrite,[status(thm)],[]) ).

tff(2,axiom,
    p__d__subclass(c__Communication,c__SocialInteraction),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',mergeA2701) ).

tff(3,plain,
    p__d__subclass(c__Communication,c__SocialInteraction),
    inference(modus_ponens,[status(thm)],[2,1]) ).

tff(4,plain,
    ( p__d__subclass(c__SocialInteraction,c__IntentionalProcess)
  <=> p__d__subclass(c__SocialInteraction,c__IntentionalProcess) ),
    inference(rewrite,[status(thm)],[]) ).

tff(5,axiom,
    p__d__subclass(c__SocialInteraction,c__IntentionalProcess),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',mergeA2697) ).

tff(6,plain,
    p__d__subclass(c__SocialInteraction,c__IntentionalProcess),
    inference(modus_ponens,[status(thm)],[5,4]) ).

tff(7,plain,
    ( ! [X: $i,Y: $i,Z: $i] :
        ( p__d__subclass(X,Z)
        | ~ p__d__subclass(X,Y)
        | ~ p__d__subclass(Y,Z) )
  <=> ! [X: $i,Y: $i,Z: $i] :
        ( p__d__subclass(X,Z)
        | ~ p__d__subclass(X,Y)
        | ~ p__d__subclass(Y,Z) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(8,plain,
    ^ [X: $i,Y: $i,Z: $i] :
      trans(monotonicity(trans(monotonicity(rewrite(( ( p__d__subclass(X,Y)
                  & p__d__subclass(Y,Z) )
              <=> ~ ( ~ p__d__subclass(X,Y)
                    | ~ p__d__subclass(Y,Z) ) )),
              ( ~ ( p__d__subclass(X,Y)
                  & p__d__subclass(Y,Z) )
            <=> ~ ~ ( ~ p__d__subclass(X,Y)
                    | ~ p__d__subclass(Y,Z) ) )),
            rewrite(( ~ ~ ( ~ p__d__subclass(X,Y)
                    | ~ p__d__subclass(Y,Z) )
            <=> ( ~ p__d__subclass(X,Y)
                | ~ p__d__subclass(Y,Z) ) )),
            ( ~ ( p__d__subclass(X,Y)
                & p__d__subclass(Y,Z) )
          <=> ( ~ p__d__subclass(X,Y)
              | ~ p__d__subclass(Y,Z) ) )),
          ( ( ~ ( p__d__subclass(X,Y)
                & p__d__subclass(Y,Z) )
            | p__d__subclass(X,Z) )
        <=> ( ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z)
            | p__d__subclass(X,Z) ) )),
        rewrite(( ( ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z)
            | p__d__subclass(X,Z) )
        <=> ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) ) )),
        ( ( ~ ( p__d__subclass(X,Y)
              & p__d__subclass(Y,Z) )
          | p__d__subclass(X,Z) )
      <=> ( p__d__subclass(X,Z)
          | ~ p__d__subclass(X,Y)
          | ~ p__d__subclass(Y,Z) ) )),
    inference(bind,[status(th)],[]) ).

tff(9,plain,
    ( ! [X: $i,Y: $i,Z: $i] :
        ( ~ ( p__d__subclass(X,Y)
            & p__d__subclass(Y,Z) )
        | p__d__subclass(X,Z) )
  <=> ! [X: $i,Y: $i,Z: $i] :
        ( p__d__subclass(X,Z)
        | ~ p__d__subclass(X,Y)
        | ~ p__d__subclass(Y,Z) ) ),
    inference(quant_intro,[status(thm)],[8]) ).

tff(10,plain,
    ( ! [X: $i,Y: $i,Z: $i] :
        ( ~ ( p__d__subclass(X,Y)
            & p__d__subclass(Y,Z) )
        | p__d__subclass(X,Z) )
  <=> ! [X: $i,Y: $i,Z: $i] :
        ( ~ ( p__d__subclass(X,Y)
            & p__d__subclass(Y,Z) )
        | p__d__subclass(X,Z) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(11,plain,
    ^ [X: $i,Y: $i,Z: $i] :
      rewrite(( ( ( p__d__subclass(X,Y)
            & p__d__subclass(Y,Z) )
         => p__d__subclass(X,Z) )
      <=> ( ~ ( p__d__subclass(X,Y)
              & p__d__subclass(Y,Z) )
          | p__d__subclass(X,Z) ) )),
    inference(bind,[status(th)],[]) ).

tff(12,plain,
    ( ! [X: $i,Y: $i,Z: $i] :
        ( ( p__d__subclass(X,Y)
          & p__d__subclass(Y,Z) )
       => p__d__subclass(X,Z) )
  <=> ! [X: $i,Y: $i,Z: $i] :
        ( ~ ( p__d__subclass(X,Y)
            & p__d__subclass(Y,Z) )
        | p__d__subclass(X,Z) ) ),
    inference(quant_intro,[status(thm)],[11]) ).

tff(13,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( p__d__subclass(X,Y)
        & p__d__subclass(Y,Z) )
     => p__d__subclass(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',predefinitionsA8) ).

tff(14,plain,
    ! [X: $i,Y: $i,Z: $i] :
      ( ~ ( p__d__subclass(X,Y)
          & p__d__subclass(Y,Z) )
      | p__d__subclass(X,Z) ),
    inference(modus_ponens,[status(thm)],[13,12]) ).

tff(15,plain,
    ! [X: $i,Y: $i,Z: $i] :
      ( ~ ( p__d__subclass(X,Y)
          & p__d__subclass(Y,Z) )
      | p__d__subclass(X,Z) ),
    inference(modus_ponens,[status(thm)],[14,10]) ).

tff(16,plain,
    ! [X: $i,Y: $i,Z: $i] :
      ( ~ ( p__d__subclass(X,Y)
          & p__d__subclass(Y,Z) )
      | p__d__subclass(X,Z) ),
    inference(skolemize,[status(sab)],[15]) ).

tff(17,plain,
    ! [X: $i,Y: $i,Z: $i] :
      ( p__d__subclass(X,Z)
      | ~ p__d__subclass(X,Y)
      | ~ p__d__subclass(Y,Z) ),
    inference(modus_ponens,[status(thm)],[16,9]) ).

tff(18,plain,
    ! [X: $i,Y: $i,Z: $i] :
      ( p__d__subclass(X,Z)
      | ~ p__d__subclass(X,Y)
      | ~ p__d__subclass(Y,Z) ),
    inference(modus_ponens,[status(thm)],[17,7]) ).

tff(19,plain,
    ( ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | ~ p__d__subclass(c__SocialInteraction,c__IntentionalProcess)
      | p__d__subclass(c__Communication,c__IntentionalProcess)
      | ~ p__d__subclass(c__Communication,c__SocialInteraction) )
  <=> ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | ~ p__d__subclass(c__SocialInteraction,c__IntentionalProcess)
      | p__d__subclass(c__Communication,c__IntentionalProcess)
      | ~ p__d__subclass(c__Communication,c__SocialInteraction) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(20,plain,
    ( ( p__d__subclass(c__Communication,c__IntentionalProcess)
      | ~ p__d__subclass(c__Communication,c__SocialInteraction)
      | ~ p__d__subclass(c__SocialInteraction,c__IntentionalProcess) )
  <=> ( ~ p__d__subclass(c__SocialInteraction,c__IntentionalProcess)
      | p__d__subclass(c__Communication,c__IntentionalProcess)
      | ~ p__d__subclass(c__Communication,c__SocialInteraction) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(21,plain,
    ( ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | p__d__subclass(c__Communication,c__IntentionalProcess)
      | ~ p__d__subclass(c__Communication,c__SocialInteraction)
      | ~ p__d__subclass(c__SocialInteraction,c__IntentionalProcess) )
  <=> ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | ~ p__d__subclass(c__SocialInteraction,c__IntentionalProcess)
      | p__d__subclass(c__Communication,c__IntentionalProcess)
      | ~ p__d__subclass(c__Communication,c__SocialInteraction) ) ),
    inference(monotonicity,[status(thm)],[20]) ).

tff(22,plain,
    ( ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | p__d__subclass(c__Communication,c__IntentionalProcess)
      | ~ p__d__subclass(c__Communication,c__SocialInteraction)
      | ~ p__d__subclass(c__SocialInteraction,c__IntentionalProcess) )
  <=> ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | ~ p__d__subclass(c__SocialInteraction,c__IntentionalProcess)
      | p__d__subclass(c__Communication,c__IntentionalProcess)
      | ~ p__d__subclass(c__Communication,c__SocialInteraction) ) ),
    inference(transitivity,[status(thm)],[21,19]) ).

tff(23,plain,
    ( ~ ! [X: $i,Y: $i,Z: $i] :
          ( p__d__subclass(X,Z)
          | ~ p__d__subclass(X,Y)
          | ~ p__d__subclass(Y,Z) )
    | p__d__subclass(c__Communication,c__IntentionalProcess)
    | ~ p__d__subclass(c__Communication,c__SocialInteraction)
    | ~ p__d__subclass(c__SocialInteraction,c__IntentionalProcess) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(24,plain,
    ( ~ ! [X: $i,Y: $i,Z: $i] :
          ( p__d__subclass(X,Z)
          | ~ p__d__subclass(X,Y)
          | ~ p__d__subclass(Y,Z) )
    | ~ p__d__subclass(c__SocialInteraction,c__IntentionalProcess)
    | p__d__subclass(c__Communication,c__IntentionalProcess)
    | ~ p__d__subclass(c__Communication,c__SocialInteraction) ),
    inference(modus_ponens,[status(thm)],[23,22]) ).

tff(25,plain,
    p__d__subclass(c__Communication,c__IntentionalProcess),
    inference(unit_resolution,[status(thm)],[24,18,6,3]) ).

tff(26,plain,
    ( p__d__subclass(c__Gesture,c__Communication)
  <=> p__d__subclass(c__Gesture,c__Communication) ),
    inference(rewrite,[status(thm)],[]) ).

tff(27,axiom,
    p__d__subclass(c__Gesture,c__Communication),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',mergeA2713) ).

tff(28,plain,
    p__d__subclass(c__Gesture,c__Communication),
    inference(modus_ponens,[status(thm)],[27,26]) ).

tff(29,plain,
    ( ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | ~ p__d__subclass(c__Gesture,c__Communication)
      | ~ p__d__subclass(c__Communication,c__IntentionalProcess)
      | p__d__subclass(c__Gesture,c__IntentionalProcess) )
  <=> ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | ~ p__d__subclass(c__Gesture,c__Communication)
      | ~ p__d__subclass(c__Communication,c__IntentionalProcess)
      | p__d__subclass(c__Gesture,c__IntentionalProcess) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(30,plain,
    ( ( p__d__subclass(c__Gesture,c__IntentionalProcess)
      | ~ p__d__subclass(c__Gesture,c__Communication)
      | ~ p__d__subclass(c__Communication,c__IntentionalProcess) )
  <=> ( ~ p__d__subclass(c__Gesture,c__Communication)
      | ~ p__d__subclass(c__Communication,c__IntentionalProcess)
      | p__d__subclass(c__Gesture,c__IntentionalProcess) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(31,plain,
    ( ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | p__d__subclass(c__Gesture,c__IntentionalProcess)
      | ~ p__d__subclass(c__Gesture,c__Communication)
      | ~ p__d__subclass(c__Communication,c__IntentionalProcess) )
  <=> ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | ~ p__d__subclass(c__Gesture,c__Communication)
      | ~ p__d__subclass(c__Communication,c__IntentionalProcess)
      | p__d__subclass(c__Gesture,c__IntentionalProcess) ) ),
    inference(monotonicity,[status(thm)],[30]) ).

tff(32,plain,
    ( ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | p__d__subclass(c__Gesture,c__IntentionalProcess)
      | ~ p__d__subclass(c__Gesture,c__Communication)
      | ~ p__d__subclass(c__Communication,c__IntentionalProcess) )
  <=> ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | ~ p__d__subclass(c__Gesture,c__Communication)
      | ~ p__d__subclass(c__Communication,c__IntentionalProcess)
      | p__d__subclass(c__Gesture,c__IntentionalProcess) ) ),
    inference(transitivity,[status(thm)],[31,29]) ).

tff(33,plain,
    ( ~ ! [X: $i,Y: $i,Z: $i] :
          ( p__d__subclass(X,Z)
          | ~ p__d__subclass(X,Y)
          | ~ p__d__subclass(Y,Z) )
    | p__d__subclass(c__Gesture,c__IntentionalProcess)
    | ~ p__d__subclass(c__Gesture,c__Communication)
    | ~ p__d__subclass(c__Communication,c__IntentionalProcess) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(34,plain,
    ( ~ ! [X: $i,Y: $i,Z: $i] :
          ( p__d__subclass(X,Z)
          | ~ p__d__subclass(X,Y)
          | ~ p__d__subclass(Y,Z) )
    | ~ p__d__subclass(c__Gesture,c__Communication)
    | ~ p__d__subclass(c__Communication,c__IntentionalProcess)
    | p__d__subclass(c__Gesture,c__IntentionalProcess) ),
    inference(modus_ponens,[status(thm)],[33,32]) ).

tff(35,plain,
    p__d__subclass(c__Gesture,c__IntentionalProcess),
    inference(unit_resolution,[status(thm)],[34,18,28,25]) ).

tff(36,plain,
    ^ [X: $i] :
      refl(( ( ~ p__d__subclass(X,c__Impacting)
          | ~ p__d__subclass(X,c__IntentionalProcess) )
      <=> ( ~ p__d__subclass(X,c__Impacting)
          | ~ p__d__subclass(X,c__IntentionalProcess) ) )),
    inference(bind,[status(th)],[]) ).

tff(37,plain,
    ( ! [X: $i] :
        ( ~ p__d__subclass(X,c__Impacting)
        | ~ p__d__subclass(X,c__IntentionalProcess) )
  <=> ! [X: $i] :
        ( ~ p__d__subclass(X,c__Impacting)
        | ~ p__d__subclass(X,c__IntentionalProcess) ) ),
    inference(quant_intro,[status(thm)],[36]) ).

tff(38,plain,
    ^ [X: $i] :
      trans(monotonicity(rewrite(( ( p__d__subclass(X,c__Impacting)
              & p__d__subclass(X,c__IntentionalProcess) )
          <=> ~ ( ~ p__d__subclass(X,c__Impacting)
                | ~ p__d__subclass(X,c__IntentionalProcess) ) )),
          ( ~ ( p__d__subclass(X,c__Impacting)
              & p__d__subclass(X,c__IntentionalProcess) )
        <=> ~ ~ ( ~ p__d__subclass(X,c__Impacting)
                | ~ p__d__subclass(X,c__IntentionalProcess) ) )),
        rewrite(( ~ ~ ( ~ p__d__subclass(X,c__Impacting)
                | ~ p__d__subclass(X,c__IntentionalProcess) )
        <=> ( ~ p__d__subclass(X,c__Impacting)
            | ~ p__d__subclass(X,c__IntentionalProcess) ) )),
        ( ~ ( p__d__subclass(X,c__Impacting)
            & p__d__subclass(X,c__IntentionalProcess) )
      <=> ( ~ p__d__subclass(X,c__Impacting)
          | ~ p__d__subclass(X,c__IntentionalProcess) ) )),
    inference(bind,[status(th)],[]) ).

tff(39,plain,
    ( ! [X: $i] :
        ~ ( p__d__subclass(X,c__Impacting)
          & p__d__subclass(X,c__IntentionalProcess) )
  <=> ! [X: $i] :
        ( ~ p__d__subclass(X,c__Impacting)
        | ~ p__d__subclass(X,c__IntentionalProcess) ) ),
    inference(quant_intro,[status(thm)],[38]) ).

tff(40,plain,
    ( ~ ? [X: $i] :
          ( p__d__subclass(X,c__Impacting)
          & p__d__subclass(X,c__IntentionalProcess) )
  <=> ~ ? [X: $i] :
          ( p__d__subclass(X,c__Impacting)
          & p__d__subclass(X,c__IntentionalProcess) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(41,axiom,
    ~ ? [X: $i] :
        ( p__d__subclass(X,c__Impacting)
        & p__d__subclass(X,c__IntentionalProcess) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commonSubclassEvent1126) ).

tff(42,plain,
    ~ ? [X: $i] :
        ( p__d__subclass(X,c__Impacting)
        & p__d__subclass(X,c__IntentionalProcess) ),
    inference(modus_ponens,[status(thm)],[41,40]) ).

tff(43,plain,
    ~ ? [X: $i] :
        ( p__d__subclass(X,c__Impacting)
        & p__d__subclass(X,c__IntentionalProcess) ),
    inference(modus_ponens,[status(thm)],[42,40]) ).

tff(44,plain,
    ~ ? [X: $i] :
        ( p__d__subclass(X,c__Impacting)
        & p__d__subclass(X,c__IntentionalProcess) ),
    inference(modus_ponens,[status(thm)],[43,40]) ).

tff(45,plain,
    ~ ? [X: $i] :
        ( p__d__subclass(X,c__Impacting)
        & p__d__subclass(X,c__IntentionalProcess) ),
    inference(modus_ponens,[status(thm)],[44,40]) ).

tff(46,plain,
    ^ [X: $i] :
      refl($oeq(~ ( p__d__subclass(X,c__Impacting)
            & p__d__subclass(X,c__IntentionalProcess) ),
          ~ ( p__d__subclass(X,c__Impacting)
            & p__d__subclass(X,c__IntentionalProcess) ))),
    inference(bind,[status(th)],[]) ).

tff(47,plain,
    ! [X: $i] :
      ~ ( p__d__subclass(X,c__Impacting)
        & p__d__subclass(X,c__IntentionalProcess) ),
    inference(nnf-neg,[status(sab)],[45,46]) ).

tff(48,plain,
    ! [X: $i] :
      ( ~ p__d__subclass(X,c__Impacting)
      | ~ p__d__subclass(X,c__IntentionalProcess) ),
    inference(modus_ponens,[status(thm)],[47,39]) ).

tff(49,plain,
    ! [X: $i] :
      ( ~ p__d__subclass(X,c__Impacting)
      | ~ p__d__subclass(X,c__IntentionalProcess) ),
    inference(modus_ponens,[status(thm)],[48,37]) ).

tff(50,plain,
    ( p__d__subclass(c__Clapping,c__Impacting)
  <=> p__d__subclass(c__Clapping,c__Impacting) ),
    inference(rewrite,[status(thm)],[]) ).

tff(51,axiom,
    p__d__subclass(c__Clapping,c__Impacting),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',miloA1805) ).

tff(52,plain,
    p__d__subclass(c__Clapping,c__Impacting),
    inference(modus_ponens,[status(thm)],[51,50]) ).

tff(53,plain,
    ( ( ~ ! [X: $i] :
            ( ~ p__d__subclass(X,c__Impacting)
            | ~ p__d__subclass(X,c__IntentionalProcess) )
      | ~ p__d__subclass(c__Clapping,c__Impacting)
      | ~ p__d__subclass(c__Clapping,c__IntentionalProcess) )
  <=> ( ~ ! [X: $i] :
            ( ~ p__d__subclass(X,c__Impacting)
            | ~ p__d__subclass(X,c__IntentionalProcess) )
      | ~ p__d__subclass(c__Clapping,c__Impacting)
      | ~ p__d__subclass(c__Clapping,c__IntentionalProcess) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(54,plain,
    ( ~ ! [X: $i] :
          ( ~ p__d__subclass(X,c__Impacting)
          | ~ p__d__subclass(X,c__IntentionalProcess) )
    | ~ p__d__subclass(c__Clapping,c__Impacting)
    | ~ p__d__subclass(c__Clapping,c__IntentionalProcess) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(55,plain,
    ( ~ ! [X: $i] :
          ( ~ p__d__subclass(X,c__Impacting)
          | ~ p__d__subclass(X,c__IntentionalProcess) )
    | ~ p__d__subclass(c__Clapping,c__Impacting)
    | ~ p__d__subclass(c__Clapping,c__IntentionalProcess) ),
    inference(modus_ponens,[status(thm)],[54,53]) ).

tff(56,plain,
    ~ p__d__subclass(c__Clapping,c__IntentionalProcess),
    inference(unit_resolution,[status(thm)],[55,52,49]) ).

tff(57,plain,
    ( p__d__subclass(c__Clapping,c__HandGesture)
  <=> p__d__subclass(c__Clapping,c__HandGesture) ),
    inference(rewrite,[status(thm)],[]) ).

tff(58,axiom,
    p__d__subclass(c__Clapping,c__HandGesture),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',miloA1803) ).

tff(59,plain,
    p__d__subclass(c__Clapping,c__HandGesture),
    inference(modus_ponens,[status(thm)],[58,57]) ).

tff(60,plain,
    ( p__d__subclass(c__HandGesture,c__Gesture)
  <=> p__d__subclass(c__HandGesture,c__Gesture) ),
    inference(rewrite,[status(thm)],[]) ).

tff(61,axiom,
    p__d__subclass(c__HandGesture,c__Gesture),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',miloA1799) ).

tff(62,plain,
    p__d__subclass(c__HandGesture,c__Gesture),
    inference(modus_ponens,[status(thm)],[61,60]) ).

tff(63,plain,
    ( ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | ~ p__d__subclass(c__HandGesture,c__Gesture)
      | p__d__subclass(c__Clapping,c__Gesture)
      | ~ p__d__subclass(c__Clapping,c__HandGesture) )
  <=> ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | ~ p__d__subclass(c__HandGesture,c__Gesture)
      | p__d__subclass(c__Clapping,c__Gesture)
      | ~ p__d__subclass(c__Clapping,c__HandGesture) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(64,plain,
    ( ( p__d__subclass(c__Clapping,c__Gesture)
      | ~ p__d__subclass(c__Clapping,c__HandGesture)
      | ~ p__d__subclass(c__HandGesture,c__Gesture) )
  <=> ( ~ p__d__subclass(c__HandGesture,c__Gesture)
      | p__d__subclass(c__Clapping,c__Gesture)
      | ~ p__d__subclass(c__Clapping,c__HandGesture) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(65,plain,
    ( ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | p__d__subclass(c__Clapping,c__Gesture)
      | ~ p__d__subclass(c__Clapping,c__HandGesture)
      | ~ p__d__subclass(c__HandGesture,c__Gesture) )
  <=> ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | ~ p__d__subclass(c__HandGesture,c__Gesture)
      | p__d__subclass(c__Clapping,c__Gesture)
      | ~ p__d__subclass(c__Clapping,c__HandGesture) ) ),
    inference(monotonicity,[status(thm)],[64]) ).

tff(66,plain,
    ( ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | p__d__subclass(c__Clapping,c__Gesture)
      | ~ p__d__subclass(c__Clapping,c__HandGesture)
      | ~ p__d__subclass(c__HandGesture,c__Gesture) )
  <=> ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | ~ p__d__subclass(c__HandGesture,c__Gesture)
      | p__d__subclass(c__Clapping,c__Gesture)
      | ~ p__d__subclass(c__Clapping,c__HandGesture) ) ),
    inference(transitivity,[status(thm)],[65,63]) ).

tff(67,plain,
    ( ~ ! [X: $i,Y: $i,Z: $i] :
          ( p__d__subclass(X,Z)
          | ~ p__d__subclass(X,Y)
          | ~ p__d__subclass(Y,Z) )
    | p__d__subclass(c__Clapping,c__Gesture)
    | ~ p__d__subclass(c__Clapping,c__HandGesture)
    | ~ p__d__subclass(c__HandGesture,c__Gesture) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(68,plain,
    ( ~ ! [X: $i,Y: $i,Z: $i] :
          ( p__d__subclass(X,Z)
          | ~ p__d__subclass(X,Y)
          | ~ p__d__subclass(Y,Z) )
    | ~ p__d__subclass(c__HandGesture,c__Gesture)
    | p__d__subclass(c__Clapping,c__Gesture)
    | ~ p__d__subclass(c__Clapping,c__HandGesture) ),
    inference(modus_ponens,[status(thm)],[67,66]) ).

tff(69,plain,
    p__d__subclass(c__Clapping,c__Gesture),
    inference(unit_resolution,[status(thm)],[68,18,62,59]) ).

tff(70,plain,
    ( ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | p__d__subclass(c__Clapping,c__IntentionalProcess)
      | ~ p__d__subclass(c__Clapping,c__Gesture)
      | ~ p__d__subclass(c__Gesture,c__IntentionalProcess) )
  <=> ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( p__d__subclass(X,Z)
            | ~ p__d__subclass(X,Y)
            | ~ p__d__subclass(Y,Z) )
      | p__d__subclass(c__Clapping,c__IntentionalProcess)
      | ~ p__d__subclass(c__Clapping,c__Gesture)
      | ~ p__d__subclass(c__Gesture,c__IntentionalProcess) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(71,plain,
    ( ~ ! [X: $i,Y: $i,Z: $i] :
          ( p__d__subclass(X,Z)
          | ~ p__d__subclass(X,Y)
          | ~ p__d__subclass(Y,Z) )
    | p__d__subclass(c__Clapping,c__IntentionalProcess)
    | ~ p__d__subclass(c__Clapping,c__Gesture)
    | ~ p__d__subclass(c__Gesture,c__IntentionalProcess) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(72,plain,
    ( ~ ! [X: $i,Y: $i,Z: $i] :
          ( p__d__subclass(X,Z)
          | ~ p__d__subclass(X,Y)
          | ~ p__d__subclass(Y,Z) )
    | p__d__subclass(c__Clapping,c__IntentionalProcess)
    | ~ p__d__subclass(c__Clapping,c__Gesture)
    | ~ p__d__subclass(c__Gesture,c__IntentionalProcess) ),
    inference(modus_ponens,[status(thm)],[71,70]) ).

tff(73,plain,
    $false,
    inference(unit_resolution,[status(thm)],[72,18,69,56,35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CSR232+1 : TPTP v9.0.0. Released v7.3.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Jun 19 13:19:49 EDT 2025
% 0.13/0.34  % CPUTime    : 
% 31.94/32.12  % SZS status Theorem
% 31.94/32.12  % SZS output start Proof
% See solution above
% 32.28/32.48  % E exiting
%------------------------------------------------------------------------------