%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : NUM625+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% 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 : Sat Jun 21 05:21:38 AM UTC 2025
% Result : Theorem 0.22s 0.49s
% Output : Proof 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 17 ( 6 ~; 0 |; 7 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 1 ( 1 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
tff(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
tff(xQ_type,type,
xQ: $i ).
tff(xx_type,type,
xx: $i ).
tff(xp_type,type,
xp: $i ).
tff(sdtlseqdt0_type,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(aElementOf0_type,type,
aElementOf0: ( $i * $i ) > $o ).
tff(aElement0_type,type,
aElement0: $i > $o ).
tff(xP_type,type,
xP: $i ).
tff(1,plain,
( ( xp = szmzizndt0(xQ) )
<=> ( xp = szmzizndt0(xQ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
( aElementOf0(xp,xQ)
& ! [W0: $i] :
( aElementOf0(W0,xQ)
=> sdtlseqdt0(xp,W0) )
& ( xp = szmzizndt0(xQ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
tff(3,plain,
xp = szmzizndt0(xQ),
inference(and_elim,[status(thm)],[2]) ).
tff(4,plain,
xp = szmzizndt0(xQ),
inference(modus_ponens,[status(thm)],[3,1]) ).
tff(5,plain,
( ( xp = xx )
<=> ( xp = xx ) ),
inference(rewrite,[status(thm)],[]) ).
tff(6,axiom,
xp = xx,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5496) ).
tff(7,plain,
xp = xx,
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
xx = xp,
inference(symmetry,[status(thm)],[7]) ).
tff(9,plain,
xx = szmzizndt0(xQ),
inference(transitivity,[status(thm)],[8,4]) ).
tff(10,plain,
( ( xx != szmzizndt0(xQ) )
<=> ( xx != szmzizndt0(xQ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,axiom,
( aElement0(xx)
& aElementOf0(xx,xQ)
& ( xx != szmzizndt0(xQ) )
& aElementOf0(xx,xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).
tff(12,plain,
( aElement0(xx)
& aElementOf0(xx,xQ)
& ( xx != szmzizndt0(xQ) ) ),
inference(and_elim,[status(thm)],[11]) ).
tff(13,plain,
xx != szmzizndt0(xQ),
inference(and_elim,[status(thm)],[12]) ).
tff(14,plain,
xx != szmzizndt0(xQ),
inference(modus_ponens,[status(thm)],[13,10]) ).
tff(15,plain,
$false,
inference(unit_resolution,[status(thm)],[14,9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : NUM625+3 : TPTP v9.0.0. Released v4.0.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Jun 20 01:38:31 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.22/0.49 % SZS status Theorem
% 0.22/0.49 % SZS output start Proof
% See solution above
% 0.22/0.49 % E exiting
%------------------------------------------------------------------------------