%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR231+1 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 31.75s 31.94s
% Output : Proof 32.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 40
% Syntax : Number of formulae : 83 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 439 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 635 ( 304 ~; 253 |; 30 &)
% ( 45 <=>; 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 : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 177 ( 161 !; 7 ?; 177 :)
% Comments :
%------------------------------------------------------------------------------
tff(p__d__subclass_type,type,
p__d__subclass: ( $i * $i ) > $o ).
tff(c__Putting_type,type,
c__Putting: $i ).
tff(c__ArtPainting_type,type,
c__ArtPainting: $i ).
tff(c__Painting_type,type,
c__Painting: $i ).
tff(c__Covering_type,type,
c__Covering: $i ).
tff(c__Motion_type,type,
c__Motion: $i ).
tff(c__Transfer_type,type,
c__Transfer: $i ).
tff(c__Translocation_type,type,
c__Translocation: $i ).
tff(c__ContentDevelopment_type,type,
c__ContentDevelopment: $i ).
tff(1,plain,
( p__d__subclass(c__Painting,c__Covering)
<=> p__d__subclass(c__Painting,c__Covering) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
p__d__subclass(c__Painting,c__Covering),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',miloA528) ).
tff(3,plain,
p__d__subclass(c__Painting,c__Covering),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( p__d__subclass(c__Covering,c__Putting)
<=> p__d__subclass(c__Covering,c__Putting) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,axiom,
p__d__subclass(c__Covering,c__Putting),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',mergeA2483) ).
tff(6,plain,
p__d__subclass(c__Covering,c__Putting),
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__Covering,c__Putting)
| p__d__subclass(c__Painting,c__Putting)
| ~ p__d__subclass(c__Painting,c__Covering) )
<=> ( ~ ! [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__Covering,c__Putting)
| p__d__subclass(c__Painting,c__Putting)
| ~ p__d__subclass(c__Painting,c__Covering) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( ( p__d__subclass(c__Painting,c__Putting)
| ~ p__d__subclass(c__Painting,c__Covering)
| ~ p__d__subclass(c__Covering,c__Putting) )
<=> ( ~ p__d__subclass(c__Covering,c__Putting)
| p__d__subclass(c__Painting,c__Putting)
| ~ p__d__subclass(c__Painting,c__Covering) ) ),
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__Painting,c__Putting)
| ~ p__d__subclass(c__Painting,c__Covering)
| ~ p__d__subclass(c__Covering,c__Putting) )
<=> ( ~ ! [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__Covering,c__Putting)
| p__d__subclass(c__Painting,c__Putting)
| ~ p__d__subclass(c__Painting,c__Covering) ) ),
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__Painting,c__Putting)
| ~ p__d__subclass(c__Painting,c__Covering)
| ~ p__d__subclass(c__Covering,c__Putting) )
<=> ( ~ ! [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__Covering,c__Putting)
| p__d__subclass(c__Painting,c__Putting)
| ~ p__d__subclass(c__Painting,c__Covering) ) ),
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__Painting,c__Putting)
| ~ p__d__subclass(c__Painting,c__Covering)
| ~ p__d__subclass(c__Covering,c__Putting) ),
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__Covering,c__Putting)
| p__d__subclass(c__Painting,c__Putting)
| ~ p__d__subclass(c__Painting,c__Covering) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
p__d__subclass(c__Painting,c__Putting),
inference(unit_resolution,[status(thm)],[24,18,6,3]) ).
tff(26,plain,
( p__d__subclass(c__ArtPainting,c__Painting)
<=> p__d__subclass(c__ArtPainting,c__Painting) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,axiom,
p__d__subclass(c__ArtPainting,c__Painting),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',miloA542) ).
tff(28,plain,
p__d__subclass(c__ArtPainting,c__Painting),
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__ArtPainting,c__Painting)
| ~ p__d__subclass(c__Painting,c__Putting)
| p__d__subclass(c__ArtPainting,c__Putting) )
<=> ( ~ ! [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__ArtPainting,c__Painting)
| ~ p__d__subclass(c__Painting,c__Putting)
| p__d__subclass(c__ArtPainting,c__Putting) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,plain,
( ( p__d__subclass(c__ArtPainting,c__Putting)
| ~ p__d__subclass(c__ArtPainting,c__Painting)
| ~ p__d__subclass(c__Painting,c__Putting) )
<=> ( ~ p__d__subclass(c__ArtPainting,c__Painting)
| ~ p__d__subclass(c__Painting,c__Putting)
| p__d__subclass(c__ArtPainting,c__Putting) ) ),
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__ArtPainting,c__Putting)
| ~ p__d__subclass(c__ArtPainting,c__Painting)
| ~ p__d__subclass(c__Painting,c__Putting) )
<=> ( ~ ! [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__ArtPainting,c__Painting)
| ~ p__d__subclass(c__Painting,c__Putting)
| p__d__subclass(c__ArtPainting,c__Putting) ) ),
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__ArtPainting,c__Putting)
| ~ p__d__subclass(c__ArtPainting,c__Painting)
| ~ p__d__subclass(c__Painting,c__Putting) )
<=> ( ~ ! [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__ArtPainting,c__Painting)
| ~ p__d__subclass(c__Painting,c__Putting)
| p__d__subclass(c__ArtPainting,c__Putting) ) ),
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__ArtPainting,c__Putting)
| ~ p__d__subclass(c__ArtPainting,c__Painting)
| ~ p__d__subclass(c__Painting,c__Putting) ),
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__ArtPainting,c__Painting)
| ~ p__d__subclass(c__Painting,c__Putting)
| p__d__subclass(c__ArtPainting,c__Putting) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
p__d__subclass(c__ArtPainting,c__Putting),
inference(unit_resolution,[status(thm)],[34,18,28,25]) ).
tff(36,plain,
( p__d__subclass(c__Translocation,c__Motion)
<=> p__d__subclass(c__Translocation,c__Motion) ),
inference(rewrite,[status(thm)],[]) ).
tff(37,axiom,
p__d__subclass(c__Translocation,c__Motion),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',mergeA2505) ).
tff(38,plain,
p__d__subclass(c__Translocation,c__Motion),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
( p__d__subclass(c__Transfer,c__Translocation)
<=> p__d__subclass(c__Transfer,c__Translocation) ),
inference(rewrite,[status(thm)],[]) ).
tff(40,axiom,
p__d__subclass(c__Transfer,c__Translocation),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',mergeA2472) ).
tff(41,plain,
p__d__subclass(c__Transfer,c__Translocation),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,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__Transfer,c__Motion)
| ~ p__d__subclass(c__Transfer,c__Translocation)
| ~ p__d__subclass(c__Translocation,c__Motion) )
<=> ( ~ ! [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__Transfer,c__Motion)
| ~ p__d__subclass(c__Transfer,c__Translocation)
| ~ p__d__subclass(c__Translocation,c__Motion) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(43,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__Transfer,c__Motion)
| ~ p__d__subclass(c__Transfer,c__Translocation)
| ~ p__d__subclass(c__Translocation,c__Motion) ),
inference(quant_inst,[status(thm)],[]) ).
tff(44,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__Transfer,c__Motion)
| ~ p__d__subclass(c__Transfer,c__Translocation)
| ~ p__d__subclass(c__Translocation,c__Motion) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
p__d__subclass(c__Transfer,c__Motion),
inference(unit_resolution,[status(thm)],[44,18,41,38]) ).
tff(46,plain,
( p__d__subclass(c__Putting,c__Transfer)
<=> p__d__subclass(c__Putting,c__Transfer) ),
inference(rewrite,[status(thm)],[]) ).
tff(47,axiom,
p__d__subclass(c__Putting,c__Transfer),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',mergeA2481) ).
tff(48,plain,
p__d__subclass(c__Putting,c__Transfer),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,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__Putting,c__Transfer)
| ~ p__d__subclass(c__Transfer,c__Motion)
| p__d__subclass(c__Putting,c__Motion) )
<=> ( ~ ! [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__Putting,c__Transfer)
| ~ p__d__subclass(c__Transfer,c__Motion)
| p__d__subclass(c__Putting,c__Motion) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(50,plain,
( ( p__d__subclass(c__Putting,c__Motion)
| ~ p__d__subclass(c__Putting,c__Transfer)
| ~ p__d__subclass(c__Transfer,c__Motion) )
<=> ( ~ p__d__subclass(c__Putting,c__Transfer)
| ~ p__d__subclass(c__Transfer,c__Motion)
| p__d__subclass(c__Putting,c__Motion) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(51,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__Putting,c__Motion)
| ~ p__d__subclass(c__Putting,c__Transfer)
| ~ p__d__subclass(c__Transfer,c__Motion) )
<=> ( ~ ! [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__Putting,c__Transfer)
| ~ p__d__subclass(c__Transfer,c__Motion)
| p__d__subclass(c__Putting,c__Motion) ) ),
inference(monotonicity,[status(thm)],[50]) ).
tff(52,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__Putting,c__Motion)
| ~ p__d__subclass(c__Putting,c__Transfer)
| ~ p__d__subclass(c__Transfer,c__Motion) )
<=> ( ~ ! [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__Putting,c__Transfer)
| ~ p__d__subclass(c__Transfer,c__Motion)
| p__d__subclass(c__Putting,c__Motion) ) ),
inference(transitivity,[status(thm)],[51,49]) ).
tff(53,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__Putting,c__Motion)
| ~ p__d__subclass(c__Putting,c__Transfer)
| ~ p__d__subclass(c__Transfer,c__Motion) ),
inference(quant_inst,[status(thm)],[]) ).
tff(54,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__Putting,c__Transfer)
| ~ p__d__subclass(c__Transfer,c__Motion)
| p__d__subclass(c__Putting,c__Motion) ),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
p__d__subclass(c__Putting,c__Motion),
inference(unit_resolution,[status(thm)],[54,18,48,45]) ).
tff(56,plain,
^ [X: $i] :
refl(( ( ~ p__d__subclass(X,c__ContentDevelopment)
| ~ p__d__subclass(X,c__Motion) )
<=> ( ~ p__d__subclass(X,c__ContentDevelopment)
| ~ p__d__subclass(X,c__Motion) ) )),
inference(bind,[status(th)],[]) ).
tff(57,plain,
( ! [X: $i] :
( ~ p__d__subclass(X,c__ContentDevelopment)
| ~ p__d__subclass(X,c__Motion) )
<=> ! [X: $i] :
( ~ p__d__subclass(X,c__ContentDevelopment)
| ~ p__d__subclass(X,c__Motion) ) ),
inference(quant_intro,[status(thm)],[56]) ).
tff(58,plain,
^ [X: $i] :
trans(monotonicity(rewrite(( ( p__d__subclass(X,c__ContentDevelopment)
& p__d__subclass(X,c__Motion) )
<=> ~ ( ~ p__d__subclass(X,c__ContentDevelopment)
| ~ p__d__subclass(X,c__Motion) ) )),
( ~ ( p__d__subclass(X,c__ContentDevelopment)
& p__d__subclass(X,c__Motion) )
<=> ~ ~ ( ~ p__d__subclass(X,c__ContentDevelopment)
| ~ p__d__subclass(X,c__Motion) ) )),
rewrite(( ~ ~ ( ~ p__d__subclass(X,c__ContentDevelopment)
| ~ p__d__subclass(X,c__Motion) )
<=> ( ~ p__d__subclass(X,c__ContentDevelopment)
| ~ p__d__subclass(X,c__Motion) ) )),
( ~ ( p__d__subclass(X,c__ContentDevelopment)
& p__d__subclass(X,c__Motion) )
<=> ( ~ p__d__subclass(X,c__ContentDevelopment)
| ~ p__d__subclass(X,c__Motion) ) )),
inference(bind,[status(th)],[]) ).
tff(59,plain,
( ! [X: $i] :
~ ( p__d__subclass(X,c__ContentDevelopment)
& p__d__subclass(X,c__Motion) )
<=> ! [X: $i] :
( ~ p__d__subclass(X,c__ContentDevelopment)
| ~ p__d__subclass(X,c__Motion) ) ),
inference(quant_intro,[status(thm)],[58]) ).
tff(60,plain,
( ~ ? [X: $i] :
( p__d__subclass(X,c__ContentDevelopment)
& p__d__subclass(X,c__Motion) )
<=> ~ ? [X: $i] :
( p__d__subclass(X,c__ContentDevelopment)
& p__d__subclass(X,c__Motion) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(61,axiom,
~ ? [X: $i] :
( p__d__subclass(X,c__ContentDevelopment)
& p__d__subclass(X,c__Motion) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commonSubclassEvent0382) ).
tff(62,plain,
~ ? [X: $i] :
( p__d__subclass(X,c__ContentDevelopment)
& p__d__subclass(X,c__Motion) ),
inference(modus_ponens,[status(thm)],[61,60]) ).
tff(63,plain,
~ ? [X: $i] :
( p__d__subclass(X,c__ContentDevelopment)
& p__d__subclass(X,c__Motion) ),
inference(modus_ponens,[status(thm)],[62,60]) ).
tff(64,plain,
~ ? [X: $i] :
( p__d__subclass(X,c__ContentDevelopment)
& p__d__subclass(X,c__Motion) ),
inference(modus_ponens,[status(thm)],[63,60]) ).
tff(65,plain,
~ ? [X: $i] :
( p__d__subclass(X,c__ContentDevelopment)
& p__d__subclass(X,c__Motion) ),
inference(modus_ponens,[status(thm)],[64,60]) ).
tff(66,plain,
^ [X: $i] :
refl($oeq(~ ( p__d__subclass(X,c__ContentDevelopment)
& p__d__subclass(X,c__Motion) ),
~ ( p__d__subclass(X,c__ContentDevelopment)
& p__d__subclass(X,c__Motion) ))),
inference(bind,[status(th)],[]) ).
tff(67,plain,
! [X: $i] :
~ ( p__d__subclass(X,c__ContentDevelopment)
& p__d__subclass(X,c__Motion) ),
inference(nnf-neg,[status(sab)],[65,66]) ).
tff(68,plain,
! [X: $i] :
( ~ p__d__subclass(X,c__ContentDevelopment)
| ~ p__d__subclass(X,c__Motion) ),
inference(modus_ponens,[status(thm)],[67,59]) ).
tff(69,plain,
! [X: $i] :
( ~ p__d__subclass(X,c__ContentDevelopment)
| ~ p__d__subclass(X,c__Motion) ),
inference(modus_ponens,[status(thm)],[68,57]) ).
tff(70,plain,
( p__d__subclass(c__ArtPainting,c__ContentDevelopment)
<=> p__d__subclass(c__ArtPainting,c__ContentDevelopment) ),
inference(rewrite,[status(thm)],[]) ).
tff(71,axiom,
p__d__subclass(c__ArtPainting,c__ContentDevelopment),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',miloA541) ).
tff(72,plain,
p__d__subclass(c__ArtPainting,c__ContentDevelopment),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
( ( ~ ! [X: $i] :
( ~ p__d__subclass(X,c__ContentDevelopment)
| ~ p__d__subclass(X,c__Motion) )
| ~ p__d__subclass(c__ArtPainting,c__ContentDevelopment)
| ~ p__d__subclass(c__ArtPainting,c__Motion) )
<=> ( ~ ! [X: $i] :
( ~ p__d__subclass(X,c__ContentDevelopment)
| ~ p__d__subclass(X,c__Motion) )
| ~ p__d__subclass(c__ArtPainting,c__ContentDevelopment)
| ~ p__d__subclass(c__ArtPainting,c__Motion) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(74,plain,
( ~ ! [X: $i] :
( ~ p__d__subclass(X,c__ContentDevelopment)
| ~ p__d__subclass(X,c__Motion) )
| ~ p__d__subclass(c__ArtPainting,c__ContentDevelopment)
| ~ p__d__subclass(c__ArtPainting,c__Motion) ),
inference(quant_inst,[status(thm)],[]) ).
tff(75,plain,
( ~ ! [X: $i] :
( ~ p__d__subclass(X,c__ContentDevelopment)
| ~ p__d__subclass(X,c__Motion) )
| ~ p__d__subclass(c__ArtPainting,c__ContentDevelopment)
| ~ p__d__subclass(c__ArtPainting,c__Motion) ),
inference(modus_ponens,[status(thm)],[74,73]) ).
tff(76,plain,
~ p__d__subclass(c__ArtPainting,c__Motion),
inference(unit_resolution,[status(thm)],[75,72,69]) ).
tff(77,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__ArtPainting,c__Motion)
| ~ p__d__subclass(c__Putting,c__Motion)
| ~ p__d__subclass(c__ArtPainting,c__Putting) )
<=> ( ~ ! [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__ArtPainting,c__Motion)
| ~ p__d__subclass(c__Putting,c__Motion)
| ~ p__d__subclass(c__ArtPainting,c__Putting) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(78,plain,
( ( p__d__subclass(c__ArtPainting,c__Motion)
| ~ p__d__subclass(c__ArtPainting,c__Putting)
| ~ p__d__subclass(c__Putting,c__Motion) )
<=> ( p__d__subclass(c__ArtPainting,c__Motion)
| ~ p__d__subclass(c__Putting,c__Motion)
| ~ p__d__subclass(c__ArtPainting,c__Putting) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(79,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__ArtPainting,c__Motion)
| ~ p__d__subclass(c__ArtPainting,c__Putting)
| ~ p__d__subclass(c__Putting,c__Motion) )
<=> ( ~ ! [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__ArtPainting,c__Motion)
| ~ p__d__subclass(c__Putting,c__Motion)
| ~ p__d__subclass(c__ArtPainting,c__Putting) ) ),
inference(monotonicity,[status(thm)],[78]) ).
tff(80,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__ArtPainting,c__Motion)
| ~ p__d__subclass(c__ArtPainting,c__Putting)
| ~ p__d__subclass(c__Putting,c__Motion) )
<=> ( ~ ! [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__ArtPainting,c__Motion)
| ~ p__d__subclass(c__Putting,c__Motion)
| ~ p__d__subclass(c__ArtPainting,c__Putting) ) ),
inference(transitivity,[status(thm)],[79,77]) ).
tff(81,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__ArtPainting,c__Motion)
| ~ p__d__subclass(c__ArtPainting,c__Putting)
| ~ p__d__subclass(c__Putting,c__Motion) ),
inference(quant_inst,[status(thm)],[]) ).
tff(82,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__ArtPainting,c__Motion)
| ~ p__d__subclass(c__Putting,c__Motion)
| ~ p__d__subclass(c__ArtPainting,c__Putting) ),
inference(modus_ponens,[status(thm)],[81,80]) ).
tff(83,plain,
$false,
inference(unit_resolution,[status(thm)],[82,18,76,55,35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : CSR231+1 : TPTP v9.0.0. Released v7.3.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Jun 19 13:18:32 EDT 2025
% 0.13/0.35 % CPUTime :
% 31.75/31.94 % SZS status Theorem
% 31.75/31.94 % SZS output start Proof
% See solution above
% 32.05/32.28 % E exiting
%------------------------------------------------------------------------------