%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : NUM632+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 05:21:41 AM UTC 2025
% Result : Theorem 0.20s 0.46s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 18 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 17 ( 4 ~; 0 |; 10 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(szDzizrdt0_type,type,
szDzizrdt0: $i > $i ).
tff(xd_type,type,
xd: $i ).
tff(sdtlpdtrp0_type,type,
sdtlpdtrp0: ( $i * $i ) > $i ).
tff(xQ_type,type,
xQ: $i ).
tff(xc_type,type,
xc: $i ).
tff(xn_type,type,
xn: $i ).
tff(aElementOf0_type,type,
aElementOf0: ( $i * $i ) > $o ).
tff(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
tff(sdtlbdtrb0_type,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff(szNzAzT0_type,type,
szNzAzT0: $i ).
tff(xp_type,type,
xp: $i ).
tff(xe_type,type,
xe: $i ).
tff(1,plain,
( ( sdtlpdtrp0(xd,xn) = szDzizrdt0(xd) )
<=> ( sdtlpdtrp0(xd,xn) = szDzizrdt0(xd) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
( aElementOf0(xn,szDzozmdt0(xd))
& ( sdtlpdtrp0(xd,xn) = szDzizrdt0(xd) )
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& ( sdtlpdtrp0(xe,xn) = xp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).
tff(3,plain,
( aElementOf0(xn,szDzozmdt0(xd))
& ( sdtlpdtrp0(xd,xn) = szDzizrdt0(xd) )
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0) ),
inference(and_elim,[status(thm)],[2]) ).
tff(4,plain,
( aElementOf0(xn,szDzozmdt0(xd))
& ( sdtlpdtrp0(xd,xn) = szDzizrdt0(xd) )
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(and_elim,[status(thm)],[3]) ).
tff(5,plain,
( aElementOf0(xn,szDzozmdt0(xd))
& ( sdtlpdtrp0(xd,xn) = szDzizrdt0(xd) ) ),
inference(and_elim,[status(thm)],[4]) ).
tff(6,plain,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(and_elim,[status(thm)],[5]) ).
tff(7,plain,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(modus_ponens,[status(thm)],[6,1]) ).
tff(8,plain,
( ( sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn) )
<=> ( sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(9,axiom,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5568) ).
tff(10,plain,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
inference(transitivity,[status(thm)],[10,7]) ).
tff(12,plain,
( ( sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd) )
<=> ( sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,axiom,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(14,plain,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
$false,
inference(unit_resolution,[status(thm)],[14,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM632+3 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n002.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 01:39:16 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.20/0.46 % SZS status Theorem
% 0.20/0.46 % SZS output start Proof
% See solution above
% 0.20/0.46 % E exiting
%------------------------------------------------------------------------------