%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : NLP261+1 : TPTP v9.0.0. Bugfixed v4.0.1.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.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 05:18:37 AM UTC 2025
% Result : Theorem 56.07s 56.23s
% Output : Proof 68.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 32 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 199 ( 89 ~; 73 |; 16 &)
% ( 18 <=>; 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 : 72 ( 66 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
tff(hypernym_type,type,
hypernym: ( $i * $i ) > $o ).
tff(n9855630_type,type,
n9855630: $i ).
tff(n9986904_type,type,
n9986904: $i ).
tff(n10126424_type,type,
n10126424: $i ).
tff(n10560637_type,type,
n10560637: $i ).
tff(1,plain,
( ! [X: $i,Y: $i,Z: $i] :
( hypernym(X,Z)
| ~ hypernym(Y,Z)
| ~ hypernym(X,Y) )
<=> ! [X: $i,Y: $i,Z: $i] :
( hypernym(X,Z)
| ~ hypernym(Y,Z)
| ~ hypernym(X,Y) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,plain,
^ [X: $i,Y: $i,Z: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( hypernym(X,Y)
& hypernym(Y,Z) )
<=> ~ ( ~ hypernym(Y,Z)
| ~ hypernym(X,Y) ) )),
( ~ ( hypernym(X,Y)
& hypernym(Y,Z) )
<=> ~ ~ ( ~ hypernym(Y,Z)
| ~ hypernym(X,Y) ) )),
rewrite(( ~ ~ ( ~ hypernym(Y,Z)
| ~ hypernym(X,Y) )
<=> ( ~ hypernym(Y,Z)
| ~ hypernym(X,Y) ) )),
( ~ ( hypernym(X,Y)
& hypernym(Y,Z) )
<=> ( ~ hypernym(Y,Z)
| ~ hypernym(X,Y) ) )),
( ( ~ ( hypernym(X,Y)
& hypernym(Y,Z) )
| hypernym(X,Z) )
<=> ( ~ hypernym(Y,Z)
| ~ hypernym(X,Y)
| hypernym(X,Z) ) )),
rewrite(( ( ~ hypernym(Y,Z)
| ~ hypernym(X,Y)
| hypernym(X,Z) )
<=> ( hypernym(X,Z)
| ~ hypernym(Y,Z)
| ~ hypernym(X,Y) ) )),
( ( ~ ( hypernym(X,Y)
& hypernym(Y,Z) )
| hypernym(X,Z) )
<=> ( hypernym(X,Z)
| ~ hypernym(Y,Z)
| ~ hypernym(X,Y) ) )),
inference(bind,[status(th)],[]) ).
tff(3,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ~ ( hypernym(X,Y)
& hypernym(Y,Z) )
| hypernym(X,Z) )
<=> ! [X: $i,Y: $i,Z: $i] :
( hypernym(X,Z)
| ~ hypernym(Y,Z)
| ~ hypernym(X,Y) ) ),
inference(quant_intro,[status(thm)],[2]) ).
tff(4,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ~ ( hypernym(X,Y)
& hypernym(Y,Z) )
| hypernym(X,Z) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ~ ( hypernym(X,Y)
& hypernym(Y,Z) )
| hypernym(X,Z) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,plain,
^ [X: $i,Y: $i,Z: $i] :
rewrite(( ( ( hypernym(X,Y)
& hypernym(Y,Z) )
=> hypernym(X,Z) )
<=> ( ~ ( hypernym(X,Y)
& hypernym(Y,Z) )
| hypernym(X,Z) ) )),
inference(bind,[status(th)],[]) ).
tff(6,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ( hypernym(X,Y)
& hypernym(Y,Z) )
=> hypernym(X,Z) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ~ ( hypernym(X,Y)
& hypernym(Y,Z) )
| hypernym(X,Z) ) ),
inference(quant_intro,[status(thm)],[5]) ).
tff(7,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( hypernym(X,Y)
& hypernym(Y,Z) )
=> hypernym(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom1) ).
tff(8,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( hypernym(X,Y)
& hypernym(Y,Z) )
| hypernym(X,Z) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( hypernym(X,Y)
& hypernym(Y,Z) )
| hypernym(X,Z) ),
inference(modus_ponens,[status(thm)],[8,4]) ).
tff(10,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( hypernym(X,Y)
& hypernym(Y,Z) )
| hypernym(X,Z) ),
inference(skolemize,[status(sab)],[9]) ).
tff(11,plain,
! [X: $i,Y: $i,Z: $i] :
( hypernym(X,Z)
| ~ hypernym(Y,Z)
| ~ hypernym(X,Y) ),
inference(modus_ponens,[status(thm)],[10,3]) ).
tff(12,plain,
! [X: $i,Y: $i,Z: $i] :
( hypernym(X,Z)
| ~ hypernym(Y,Z)
| ~ hypernym(X,Y) ),
inference(modus_ponens,[status(thm)],[11,1]) ).
tff(13,plain,
( hypernym(n10126424,n9855630)
<=> hypernym(n10126424,n9855630) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
hypernym(n10126424,n9855630),
file('/export/starexec/sandbox2/benchmark/Axioms/NLP001+0.ax',kb340304) ).
tff(15,plain,
hypernym(n10126424,n9855630),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( hypernym(n9986904,n10126424)
<=> hypernym(n9986904,n10126424) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,axiom,
hypernym(n9986904,n10126424),
file('/export/starexec/sandbox2/benchmark/Axioms/NLP001+0.ax',kb1049) ).
tff(18,plain,
hypernym(n9986904,n10126424),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( hypernym(X,Z)
| ~ hypernym(Y,Z)
| ~ hypernym(X,Y) )
| hypernym(n9986904,n9855630)
| ~ hypernym(n10126424,n9855630)
| ~ hypernym(n9986904,n10126424) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( hypernym(X,Z)
| ~ hypernym(Y,Z)
| ~ hypernym(X,Y) )
| hypernym(n9986904,n9855630)
| ~ hypernym(n10126424,n9855630)
| ~ hypernym(n9986904,n10126424) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( hypernym(X,Z)
| ~ hypernym(Y,Z)
| ~ hypernym(X,Y) )
| hypernym(n9986904,n9855630)
| ~ hypernym(n10126424,n9855630)
| ~ hypernym(n9986904,n10126424) ),
inference(quant_inst,[status(thm)],[]) ).
tff(21,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( hypernym(X,Z)
| ~ hypernym(Y,Z)
| ~ hypernym(X,Y) )
| hypernym(n9986904,n9855630)
| ~ hypernym(n10126424,n9855630)
| ~ hypernym(n9986904,n10126424) ),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
hypernym(n9986904,n9855630),
inference(unit_resolution,[status(thm)],[21,18,15,12]) ).
tff(23,plain,
( ~ hypernym(n9986904,n10560637)
<=> ~ hypernym(n9986904,n10560637) ),
inference(rewrite,[status(thm)],[]) ).
tff(24,axiom,
~ hypernym(n9986904,n10560637),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypernym_transitiviy_1) ).
tff(25,plain,
~ hypernym(n9986904,n10560637),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
( hypernym(n9855630,n10560637)
<=> hypernym(n9855630,n10560637) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,axiom,
hypernym(n9855630,n10560637),
file('/export/starexec/sandbox2/benchmark/Axioms/NLP001+0.ax',kb886122) ).
tff(28,plain,
hypernym(n9855630,n10560637),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( hypernym(X,Z)
| ~ hypernym(Y,Z)
| ~ hypernym(X,Y) )
| hypernym(n9986904,n10560637)
| ~ hypernym(n9855630,n10560637)
| ~ hypernym(n9986904,n9855630) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( hypernym(X,Z)
| ~ hypernym(Y,Z)
| ~ hypernym(X,Y) )
| hypernym(n9986904,n10560637)
| ~ hypernym(n9855630,n10560637)
| ~ hypernym(n9986904,n9855630) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( hypernym(X,Z)
| ~ hypernym(Y,Z)
| ~ hypernym(X,Y) )
| hypernym(n9986904,n10560637)
| ~ hypernym(n9855630,n10560637)
| ~ hypernym(n9986904,n9855630) ),
inference(quant_inst,[status(thm)],[]) ).
tff(31,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( hypernym(X,Z)
| ~ hypernym(Y,Z)
| ~ hypernym(X,Y) )
| hypernym(n9986904,n10560637)
| ~ hypernym(n9855630,n10560637)
| ~ hypernym(n9986904,n9855630) ),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
$false,
inference(unit_resolution,[status(thm)],[31,28,12,25,22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NLP261+1 : TPTP v9.0.0. Bugfixed v4.0.1.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 23:57:43 EDT 2025
% 0.12/0.34 % CPUTime :
% 56.07/56.23 % SZS status Theorem
% 56.07/56.23 % SZS output start Proof
% See solution above
% 69.57/69.80 % E exiting
%------------------------------------------------------------------------------