%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR255+1 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.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 05:04:27 AM UTC 2025
% Result : Theorem 16.15s 16.34s
% Output : Proof 16.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 35 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 186 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 250 ( 113 ~; 97 |; 16 &)
% ( 21 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 14 ( 14 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 84 ( 78 !; 0 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
tff(p__d__subclass_type,type,
p__d__subclass: ( $i * $i ) > $o ).
tff(c__BodyMotion_type,type,
c__BodyMotion: $i ).
tff(c__FacialExpression_type,type,
c__FacialExpression: $i ).
tff(c__Gesture_type,type,
c__Gesture: $i ).
tff(c__Laughing_type,type,
c__Laughing: $i ).
tff(1,plain,
( p__d__subclass(c__FacialExpression,c__Gesture)
<=> p__d__subclass(c__FacialExpression,c__Gesture) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
p__d__subclass(c__FacialExpression,c__Gesture),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',miloA1786) ).
tff(3,plain,
p__d__subclass(c__FacialExpression,c__Gesture),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( p__d__subclass(c__Gesture,c__BodyMotion)
<=> p__d__subclass(c__Gesture,c__BodyMotion) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,axiom,
p__d__subclass(c__Gesture,c__BodyMotion),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',mergeA2714) ).
tff(6,plain,
p__d__subclass(c__Gesture,c__BodyMotion),
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__Gesture,c__BodyMotion)
| ~ p__d__subclass(c__FacialExpression,c__Gesture)
| p__d__subclass(c__FacialExpression,c__BodyMotion) )
<=> ( ~ ! [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__BodyMotion)
| ~ p__d__subclass(c__FacialExpression,c__Gesture)
| p__d__subclass(c__FacialExpression,c__BodyMotion) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( ( p__d__subclass(c__FacialExpression,c__BodyMotion)
| ~ p__d__subclass(c__FacialExpression,c__Gesture)
| ~ p__d__subclass(c__Gesture,c__BodyMotion) )
<=> ( ~ p__d__subclass(c__Gesture,c__BodyMotion)
| ~ p__d__subclass(c__FacialExpression,c__Gesture)
| p__d__subclass(c__FacialExpression,c__BodyMotion) ) ),
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__FacialExpression,c__BodyMotion)
| ~ p__d__subclass(c__FacialExpression,c__Gesture)
| ~ p__d__subclass(c__Gesture,c__BodyMotion) )
<=> ( ~ ! [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__BodyMotion)
| ~ p__d__subclass(c__FacialExpression,c__Gesture)
| p__d__subclass(c__FacialExpression,c__BodyMotion) ) ),
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__FacialExpression,c__BodyMotion)
| ~ p__d__subclass(c__FacialExpression,c__Gesture)
| ~ p__d__subclass(c__Gesture,c__BodyMotion) )
<=> ( ~ ! [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__BodyMotion)
| ~ p__d__subclass(c__FacialExpression,c__Gesture)
| p__d__subclass(c__FacialExpression,c__BodyMotion) ) ),
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__FacialExpression,c__BodyMotion)
| ~ p__d__subclass(c__FacialExpression,c__Gesture)
| ~ p__d__subclass(c__Gesture,c__BodyMotion) ),
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__Gesture,c__BodyMotion)
| ~ p__d__subclass(c__FacialExpression,c__Gesture)
| p__d__subclass(c__FacialExpression,c__BodyMotion) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
p__d__subclass(c__FacialExpression,c__BodyMotion),
inference(unit_resolution,[status(thm)],[24,18,6,3]) ).
tff(26,plain,
( ~ p__d__subclass(c__Laughing,c__BodyMotion)
<=> ~ p__d__subclass(c__Laughing,c__BodyMotion) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,axiom,
~ p__d__subclass(c__Laughing,c__BodyMotion),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclassEvent0238) ).
tff(28,plain,
~ p__d__subclass(c__Laughing,c__BodyMotion),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
( p__d__subclass(c__Laughing,c__FacialExpression)
<=> p__d__subclass(c__Laughing,c__FacialExpression) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,axiom,
p__d__subclass(c__Laughing,c__FacialExpression),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',miloA1793) ).
tff(31,plain,
p__d__subclass(c__Laughing,c__FacialExpression),
inference(modus_ponens,[status(thm)],[30,29]) ).
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__Laughing,c__BodyMotion)
| ~ p__d__subclass(c__Laughing,c__FacialExpression)
| ~ p__d__subclass(c__FacialExpression,c__BodyMotion) )
<=> ( ~ ! [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__Laughing,c__BodyMotion)
| ~ p__d__subclass(c__Laughing,c__FacialExpression)
| ~ p__d__subclass(c__FacialExpression,c__BodyMotion) ) ),
inference(rewrite,[status(thm)],[]) ).
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__Laughing,c__BodyMotion)
| ~ p__d__subclass(c__Laughing,c__FacialExpression)
| ~ p__d__subclass(c__FacialExpression,c__BodyMotion) ),
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__Laughing,c__BodyMotion)
| ~ p__d__subclass(c__Laughing,c__FacialExpression)
| ~ p__d__subclass(c__FacialExpression,c__BodyMotion) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
$false,
inference(unit_resolution,[status(thm)],[34,18,31,28,25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CSR255+1 : TPTP v9.0.0. Released v7.3.0.
% 0.12/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 13:20:39 EDT 2025
% 0.12/0.34 % CPUTime :
% 16.15/16.34 % SZS status Theorem
% 16.15/16.34 % SZS output start Proof
% See solution above
% 16.44/16.63 % E exiting
%------------------------------------------------------------------------------