TSTP Solution File: NUM623+3 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NUM623+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n012.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 : Sun Sep 18 13:10:58 EDT 2022
% Result : Theorem 1.27s 1.06s
% Output : Proof 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 62
% Syntax : Number of formulae : 125 ( 32 unt; 18 typ; 0 def)
% Number of atoms : 577 ( 68 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 724 ( 299 ~; 264 |; 75 &)
% ( 63 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 45 ( 45 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 9 >; 5 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 125 ( 107 !; 1 ?; 125 :)
% Comments :
%------------------------------------------------------------------------------
tff(sdtlseqdt0_type,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
tff(xQ_type,type,
xQ: $i ).
tff(sdtlpdtrp0_type,type,
sdtlpdtrp0: ( $i * $i ) > $i ).
tff(xm_type,type,
xm: $i ).
tff(xe_type,type,
xe: $i ).
tff(aElementOf0_type,type,
aElementOf0: ( $i * $i ) > $o ).
tff(xN_type,type,
xN: $i ).
tff(xp_type,type,
xp: $i ).
tff(xx_type,type,
xx: $i ).
tff(aElement0_type,type,
aElement0: $i > $o ).
tff(xP_type,type,
xP: $i ).
tff(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
tff(szNzAzT0_type,type,
szNzAzT0: $i ).
tff(aSubsetOf0_type,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff(sdtlbdtrb0_type,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff(szDzizrdt0_type,type,
szDzizrdt0: $i > $i ).
tff(xd_type,type,
xd: $i ).
tff(1,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xm))
<=> aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm)) ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xm))
<=> aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
inference(rewrite,[status(thm)],]) ).
tff(3,axiom,
( aElementOf0(xp,sdtlpdtrp0(xN,xm))
& aElementOf0(xx,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5481) ).
tff(4,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(and_elim,[status(thm)],[3]) ).
tff(5,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(modus_ponens,[status(thm)],[4,2]) ).
tff(6,plain,
aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm)),
inference(modus_ponens,[status(thm)],[5,1]) ).
tff(7,plain,
^ [W0: $i] :
refl(
( ( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),W0) )
<=> ( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),W0) ) )),
inference(bind,[status(th)],]) ).
tff(8,plain,
( ! [W0: $i] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),W0) )
<=> ! [W0: $i] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),W0) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,plain,
^ [W0: $i] :
rewrite(
( ( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,W0) )
<=> ( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),W0) ) )),
inference(bind,[status(th)],]) ).
tff(10,plain,
( ! [W0: $i] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,W0) )
<=> ! [W0: $i] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),W0) ) ),
inference(quant_intro,[status(thm)],[9]) ).
tff(11,plain,
( ! [W0: $i] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,W0) )
<=> ! [W0: $i] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,W0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(12,plain,
^ [W0: $i] :
rewrite(
( ( aElementOf0(W0,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(xx,W0) )
<=> ( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,W0) ) )),
inference(bind,[status(th)],]) ).
tff(13,plain,
( ! [W0: $i] :
( aElementOf0(W0,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(xx,W0) )
<=> ! [W0: $i] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,W0) ) ),
inference(quant_intro,[status(thm)],[12]) ).
tff(14,axiom,
! [W0: $i] :
( aElementOf0(W0,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(xx,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5401) ).
tff(15,plain,
! [W0: $i] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,W0) ),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
! [W0: $i] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,W0) ),
inference(modus_ponens,[status(thm)],[15,11]) ).
tff(17,plain,
! [W0: $i] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),W0) ),
inference(modus_ponens,[status(thm)],[16,10]) ).
tff(18,plain,
! [W0: $i] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),W0) ),
inference(skolemize,[status(sab)],[17]) ).
tff(19,plain,
! [W0: $i] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),W0) ),
inference(modus_ponens,[status(thm)],[18,8]) ).
tff(20,plain,
( ( ~ ! [W0: $i] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),W0) )
| ~ aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),szmzizndt0(xQ)) )
<=> ( ~ ! [W0: $i] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),W0) )
| ~ aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),szmzizndt0(xQ)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(21,plain,
( ~ ! [W0: $i] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),W0) )
| ~ aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),szmzizndt0(xQ)) ),
inference(quant_inst,[status(thm)],]) ).
tff(22,plain,
( ~ ! [W0: $i] :
( ~ aElementOf0(W0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),W0) )
| ~ aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm))
| sdtlseqdt0(sdtlpdtrp0(xe,xm),szmzizndt0(xQ)) ),
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
sdtlseqdt0(sdtlpdtrp0(xe,xm),szmzizndt0(xQ)),
inference(unit_resolution,[status(thm)],[22,19,6]) ).
tff(24,plain,
( aElementOf0(xx,xQ)
<=> aElementOf0(sdtlpdtrp0(xe,xm),xQ) ),
inference(rewrite,[status(thm)],]) ).
tff(25,plain,
( aElementOf0(xx,xQ)
<=> aElementOf0(xx,xQ) ),
inference(rewrite,[status(thm)],]) ).
tff(26,axiom,
( aElement0(xx)
& aElementOf0(xx,xQ)
& ( xx != szmzizndt0(xQ) )
& aElementOf0(xx,xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).
tff(27,plain,
( aElement0(xx)
& aElementOf0(xx,xQ)
& ( xx != szmzizndt0(xQ) ) ),
inference(and_elim,[status(thm)],[26]) ).
tff(28,plain,
( aElement0(xx)
& aElementOf0(xx,xQ) ),
inference(and_elim,[status(thm)],[27]) ).
tff(29,plain,
aElementOf0(xx,xQ),
inference(and_elim,[status(thm)],[28]) ).
tff(30,plain,
aElementOf0(xx,xQ),
inference(modus_ponens,[status(thm)],[29,25]) ).
tff(31,plain,
aElementOf0(sdtlpdtrp0(xe,xm),xQ),
inference(modus_ponens,[status(thm)],[30,24]) ).
tff(32,plain,
^ [W0: $i] :
refl(
( ( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(szmzizndt0(xQ),W0) )
<=> ( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(szmzizndt0(xQ),W0) ) )),
inference(bind,[status(th)],]) ).
tff(33,plain,
( ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(szmzizndt0(xQ),W0) )
<=> ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(szmzizndt0(xQ),W0) ) ),
inference(quant_intro,[status(thm)],[32]) ).
tff(34,plain,
^ [W0: $i] :
rewrite(
( ( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(xp,W0) )
<=> ( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(szmzizndt0(xQ),W0) ) )),
inference(bind,[status(th)],]) ).
tff(35,plain,
( ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(xp,W0) )
<=> ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(szmzizndt0(xQ),W0) ) ),
inference(quant_intro,[status(thm)],[34]) ).
tff(36,plain,
( ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(xp,W0) )
<=> ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(xp,W0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(37,plain,
^ [W0: $i] :
rewrite(
( ( aElementOf0(W0,xQ)
=> sdtlseqdt0(xp,W0) )
<=> ( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(xp,W0) ) )),
inference(bind,[status(th)],]) ).
tff(38,plain,
( ! [W0: $i] :
( aElementOf0(W0,xQ)
=> sdtlseqdt0(xp,W0) )
<=> ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(xp,W0) ) ),
inference(quant_intro,[status(thm)],[37]) ).
tff(39,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(40,plain,
( aElementOf0(xp,xQ)
& ! [W0: $i] :
( aElementOf0(W0,xQ)
=> sdtlseqdt0(xp,W0) ) ),
inference(and_elim,[status(thm)],[39]) ).
tff(41,plain,
! [W0: $i] :
( aElementOf0(W0,xQ)
=> sdtlseqdt0(xp,W0) ),
inference(and_elim,[status(thm)],[40]) ).
tff(42,plain,
! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(xp,W0) ),
inference(modus_ponens,[status(thm)],[41,38]) ).
tff(43,plain,
! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(xp,W0) ),
inference(modus_ponens,[status(thm)],[42,36]) ).
tff(44,plain,
! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(szmzizndt0(xQ),W0) ),
inference(modus_ponens,[status(thm)],[43,35]) ).
tff(45,plain,
! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(szmzizndt0(xQ),W0) ),
inference(skolemize,[status(sab)],[44]) ).
tff(46,plain,
! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(szmzizndt0(xQ),W0) ),
inference(modus_ponens,[status(thm)],[45,33]) ).
tff(47,plain,
( ( ~ ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(szmzizndt0(xQ),W0) )
| ~ aElementOf0(sdtlpdtrp0(xe,xm),xQ)
| sdtlseqdt0(szmzizndt0(xQ),sdtlpdtrp0(xe,xm)) )
<=> ( ~ ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(szmzizndt0(xQ),W0) )
| ~ aElementOf0(sdtlpdtrp0(xe,xm),xQ)
| sdtlseqdt0(szmzizndt0(xQ),sdtlpdtrp0(xe,xm)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(48,plain,
( ~ ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(szmzizndt0(xQ),W0) )
| ~ aElementOf0(sdtlpdtrp0(xe,xm),xQ)
| sdtlseqdt0(szmzizndt0(xQ),sdtlpdtrp0(xe,xm)) ),
inference(quant_inst,[status(thm)],]) ).
tff(49,plain,
( ~ ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| sdtlseqdt0(szmzizndt0(xQ),W0) )
| ~ aElementOf0(sdtlpdtrp0(xe,xm),xQ)
| sdtlseqdt0(szmzizndt0(xQ),sdtlpdtrp0(xe,xm)) ),
inference(modus_ponens,[status(thm)],[48,47]) ).
tff(50,plain,
sdtlseqdt0(szmzizndt0(xQ),sdtlpdtrp0(xe,xm)),
inference(unit_resolution,[status(thm)],[49,46,31]) ).
tff(51,plain,
( aElementOf0(xp,xQ)
<=> aElementOf0(szmzizndt0(xQ),xQ) ),
inference(rewrite,[status(thm)],]) ).
tff(52,plain,
( aElementOf0(xp,xQ)
<=> aElementOf0(xp,xQ) ),
inference(rewrite,[status(thm)],]) ).
tff(53,plain,
aElementOf0(xp,xQ),
inference(and_elim,[status(thm)],[40]) ).
tff(54,plain,
aElementOf0(xp,xQ),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
aElementOf0(szmzizndt0(xQ),xQ),
inference(modus_ponens,[status(thm)],[54,51]) ).
tff(56,plain,
^ [W0: $i] :
refl(
( ( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szDzozmdt0(xN)) )
<=> ( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szDzozmdt0(xN)) ) )),
inference(bind,[status(th)],]) ).
tff(57,plain,
( ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szDzozmdt0(xN)) )
<=> ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szDzozmdt0(xN)) ) ),
inference(quant_intro,[status(thm)],[56]) ).
tff(58,plain,
^ [W0: $i] :
rewrite(
( ( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szNzAzT0) )
<=> ( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szDzozmdt0(xN)) ) )),
inference(bind,[status(th)],]) ).
tff(59,plain,
( ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szNzAzT0) )
<=> ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szDzozmdt0(xN)) ) ),
inference(quant_intro,[status(thm)],[58]) ).
tff(60,plain,
( ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szNzAzT0) )
<=> ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szNzAzT0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(61,plain,
^ [W0: $i] :
rewrite(
( ( aElementOf0(W0,xQ)
=> aElementOf0(W0,szNzAzT0) )
<=> ( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szNzAzT0) ) )),
inference(bind,[status(th)],]) ).
tff(62,plain,
( ! [W0: $i] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,szNzAzT0) )
<=> ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szNzAzT0) ) ),
inference(quant_intro,[status(thm)],[61]) ).
tff(63,axiom,
( ! [W0: $i] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
tff(64,plain,
! [W0: $i] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,szNzAzT0) ),
inference(and_elim,[status(thm)],[63]) ).
tff(65,plain,
! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szNzAzT0) ),
inference(modus_ponens,[status(thm)],[64,62]) ).
tff(66,plain,
! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szNzAzT0) ),
inference(modus_ponens,[status(thm)],[65,60]) ).
tff(67,plain,
! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szDzozmdt0(xN)) ),
inference(modus_ponens,[status(thm)],[66,59]) ).
tff(68,plain,
! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szDzozmdt0(xN)) ),
inference(skolemize,[status(sab)],[67]) ).
tff(69,plain,
! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szDzozmdt0(xN)) ),
inference(modus_ponens,[status(thm)],[68,57]) ).
tff(70,plain,
( ( ~ ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szDzozmdt0(xN)) )
| ~ aElementOf0(szmzizndt0(xQ),xQ)
| aElementOf0(szmzizndt0(xQ),szDzozmdt0(xN)) )
<=> ( ~ ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szDzozmdt0(xN)) )
| ~ aElementOf0(szmzizndt0(xQ),xQ)
| aElementOf0(szmzizndt0(xQ),szDzozmdt0(xN)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(71,plain,
( ~ ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szDzozmdt0(xN)) )
| ~ aElementOf0(szmzizndt0(xQ),xQ)
| aElementOf0(szmzizndt0(xQ),szDzozmdt0(xN)) ),
inference(quant_inst,[status(thm)],]) ).
tff(72,plain,
( ~ ! [W0: $i] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szDzozmdt0(xN)) )
| ~ aElementOf0(szmzizndt0(xQ),xQ)
| aElementOf0(szmzizndt0(xQ),szDzozmdt0(xN)) ),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
aElementOf0(szmzizndt0(xQ),szDzozmdt0(xN)),
inference(unit_resolution,[status(thm)],[72,69,55]) ).
tff(74,plain,
( ( xp != xx )
<=> ( szmzizndt0(xQ) != sdtlpdtrp0(xe,xm) ) ),
inference(rewrite,[status(thm)],]) ).
tff(75,plain,
( ( xp != xx )
<=> ( xp != xx ) ),
inference(rewrite,[status(thm)],]) ).
tff(76,axiom,
xp != xx,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(77,plain,
xp != xx,
inference(modus_ponens,[status(thm)],[76,75]) ).
tff(78,plain,
szmzizndt0(xQ) != sdtlpdtrp0(xe,xm),
inference(modus_ponens,[status(thm)],[77,74]) ).
tff(79,plain,
( aElementOf0(xx,szNzAzT0)
<=> aElementOf0(sdtlpdtrp0(xe,xm),szDzozmdt0(xN)) ),
inference(rewrite,[status(thm)],]) ).
tff(80,plain,
( aElementOf0(xx,szNzAzT0)
<=> aElementOf0(xx,szNzAzT0) ),
inference(rewrite,[status(thm)],]) ).
tff(81,axiom,
( aElementOf0(xx,szNzAzT0)
& ? [W0: $i] :
( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( sdtlpdtrp0(xe,W0) = xx ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5365) ).
tff(82,plain,
aElementOf0(xx,szNzAzT0),
inference(and_elim,[status(thm)],[81]) ).
tff(83,plain,
aElementOf0(xx,szNzAzT0),
inference(modus_ponens,[status(thm)],[82,80]) ).
tff(84,plain,
aElementOf0(sdtlpdtrp0(xe,xm),szDzozmdt0(xN)),
inference(modus_ponens,[status(thm)],[83,79]) ).
tff(85,plain,
^ [W0: $i,W1: $i] :
refl(
( ( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) )
<=> ( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) ) )),
inference(bind,[status(th)],]) ).
tff(86,plain,
( ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) )
<=> ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) ) ),
inference(quant_intro,[status(thm)],[85]) ).
tff(87,plain,
^ [W0: $i,W1: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
<=> ~ ( ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1) ) )),
( ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
<=> ~ ~ ( ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1) ) )),
rewrite(
( ~ ~ ( ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1) )
<=> ( ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1) ) )),
( ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
<=> ( ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1) ) )),
trans(
monotonicity(
rewrite(
( ( aElementOf0(W0,szDzozmdt0(xN))
& aElementOf0(W1,szDzozmdt0(xN)) )
<=> ~ ( ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN)) ) )),
( ~ ( aElementOf0(W0,szDzozmdt0(xN))
& aElementOf0(W1,szDzozmdt0(xN)) )
<=> ~ ~ ( ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN)) ) )),
rewrite(
( ~ ~ ( ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN)) )
<=> ( ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN)) ) )),
( ~ ( aElementOf0(W0,szDzozmdt0(xN))
& aElementOf0(W1,szDzozmdt0(xN)) )
<=> ( ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN)) ) )),
( ( ( W0 = W1 )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
| ~ ( aElementOf0(W0,szDzozmdt0(xN))
& aElementOf0(W1,szDzozmdt0(xN)) ) )
<=> ( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN)) ) )),
rewrite(
( ( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN)) )
<=> ( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) ) )),
( ( ( W0 = W1 )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
| ~ ( aElementOf0(W0,szDzozmdt0(xN))
& aElementOf0(W1,szDzozmdt0(xN)) ) )
<=> ( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) ) )),
inference(bind,[status(th)],]) ).
tff(88,plain,
( ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
| ~ ( aElementOf0(W0,szDzozmdt0(xN))
& aElementOf0(W1,szDzozmdt0(xN)) ) )
<=> ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) ) ),
inference(quant_intro,[status(thm)],[87]) ).
tff(89,plain,
^ [W0: $i,W1: $i] :
trans(
monotonicity(
rewrite(
( ~ ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
<=> ~ ( aElementOf0(W0,szDzozmdt0(xN))
& aElementOf0(W1,szDzozmdt0(xN)) ) )),
( ( ( W0 = W1 )
| ~ ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) ) )
<=> ( ( W0 = W1 )
| ~ ( aElementOf0(W0,szDzozmdt0(xN))
& aElementOf0(W1,szDzozmdt0(xN)) )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) ) ) )),
rewrite(
( ( ( W0 = W1 )
| ~ ( aElementOf0(W0,szDzozmdt0(xN))
& aElementOf0(W1,szDzozmdt0(xN)) )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) ) )
<=> ( ( W0 = W1 )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
| ~ ( aElementOf0(W0,szDzozmdt0(xN))
& aElementOf0(W1,szDzozmdt0(xN)) ) ) )),
( ( ( W0 = W1 )
| ~ ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) ) )
<=> ( ( W0 = W1 )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
| ~ ( aElementOf0(W0,szDzozmdt0(xN))
& aElementOf0(W1,szDzozmdt0(xN)) ) ) )),
inference(bind,[status(th)],]) ).
tff(90,plain,
( ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) ) )
<=> ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
| ~ ( aElementOf0(W0,szDzozmdt0(xN))
& aElementOf0(W1,szDzozmdt0(xN)) ) ) ),
inference(quant_intro,[status(thm)],[89]) ).
tff(91,plain,
( ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) ) )
<=> ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(92,plain,
^ [W0: $i,W1: $i] :
trans(
monotonicity(
rewrite(
( ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> ( W0 = W1 ) )
<=> ( ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
| ( W0 = W1 ) ) )),
( ( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> ( W0 = W1 ) ) )
<=> ( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
| ( W0 = W1 ) ) ) )),
rewrite(
( ( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
| ( W0 = W1 ) ) )
<=> ( ( W0 = W1 )
| ~ ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) ) ) )),
( ( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> ( W0 = W1 ) ) )
<=> ( ( W0 = W1 )
| ~ ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) ) ) )),
inference(bind,[status(th)],]) ).
tff(93,plain,
( ! [W0: $i,W1: $i] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> ( W0 = W1 ) ) )
<=> ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) ) ) ),
inference(quant_intro,[status(thm)],[92]) ).
tff(94,axiom,
! [W0: $i,W1: $i] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
tff(95,plain,
! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) ) ),
inference(modus_ponens,[status(thm)],[94,93]) ).
tff(96,plain,
! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) ) ),
inference(modus_ponens,[status(thm)],[95,91]) ).
tff(97,plain,
! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
| ~ ( aElementOf0(W0,szDzozmdt0(xN))
& aElementOf0(W1,szDzozmdt0(xN)) ) ),
inference(modus_ponens,[status(thm)],[96,90]) ).
tff(98,plain,
! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
| ~ ( aElementOf0(W0,szDzozmdt0(xN))
& aElementOf0(W1,szDzozmdt0(xN)) ) ),
inference(skolemize,[status(sab)],[97]) ).
tff(99,plain,
! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) ),
inference(modus_ponens,[status(thm)],[98,88]) ).
tff(100,plain,
! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) ),
inference(modus_ponens,[status(thm)],[99,86]) ).
tff(101,plain,
( ( ~ ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) )
| ( szmzizndt0(xQ) = sdtlpdtrp0(xe,xm) )
| ~ aElementOf0(sdtlpdtrp0(xe,xm),szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(xQ),szDzozmdt0(xN))
| ~ sdtlseqdt0(szmzizndt0(xQ),sdtlpdtrp0(xe,xm))
| ~ sdtlseqdt0(sdtlpdtrp0(xe,xm),szmzizndt0(xQ)) )
<=> ( ~ ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) )
| ( szmzizndt0(xQ) = sdtlpdtrp0(xe,xm) )
| ~ aElementOf0(sdtlpdtrp0(xe,xm),szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(xQ),szDzozmdt0(xN))
| ~ sdtlseqdt0(szmzizndt0(xQ),sdtlpdtrp0(xe,xm))
| ~ sdtlseqdt0(sdtlpdtrp0(xe,xm),szmzizndt0(xQ)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(102,plain,
( ( ( szmzizndt0(xQ) = sdtlpdtrp0(xe,xm) )
| ~ sdtlseqdt0(sdtlpdtrp0(xe,xm),szmzizndt0(xQ))
| ~ aElementOf0(sdtlpdtrp0(xe,xm),szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(xQ),szDzozmdt0(xN))
| ~ sdtlseqdt0(szmzizndt0(xQ),sdtlpdtrp0(xe,xm)) )
<=> ( ( szmzizndt0(xQ) = sdtlpdtrp0(xe,xm) )
| ~ aElementOf0(sdtlpdtrp0(xe,xm),szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(xQ),szDzozmdt0(xN))
| ~ sdtlseqdt0(szmzizndt0(xQ),sdtlpdtrp0(xe,xm))
| ~ sdtlseqdt0(sdtlpdtrp0(xe,xm),szmzizndt0(xQ)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(103,plain,
( ( ~ ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) )
| ( szmzizndt0(xQ) = sdtlpdtrp0(xe,xm) )
| ~ sdtlseqdt0(sdtlpdtrp0(xe,xm),szmzizndt0(xQ))
| ~ aElementOf0(sdtlpdtrp0(xe,xm),szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(xQ),szDzozmdt0(xN))
| ~ sdtlseqdt0(szmzizndt0(xQ),sdtlpdtrp0(xe,xm)) )
<=> ( ~ ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) )
| ( szmzizndt0(xQ) = sdtlpdtrp0(xe,xm) )
| ~ aElementOf0(sdtlpdtrp0(xe,xm),szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(xQ),szDzozmdt0(xN))
| ~ sdtlseqdt0(szmzizndt0(xQ),sdtlpdtrp0(xe,xm))
| ~ sdtlseqdt0(sdtlpdtrp0(xe,xm),szmzizndt0(xQ)) ) ),
inference(monotonicity,[status(thm)],[102]) ).
tff(104,plain,
( ( ~ ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) )
| ( szmzizndt0(xQ) = sdtlpdtrp0(xe,xm) )
| ~ sdtlseqdt0(sdtlpdtrp0(xe,xm),szmzizndt0(xQ))
| ~ aElementOf0(sdtlpdtrp0(xe,xm),szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(xQ),szDzozmdt0(xN))
| ~ sdtlseqdt0(szmzizndt0(xQ),sdtlpdtrp0(xe,xm)) )
<=> ( ~ ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) )
| ( szmzizndt0(xQ) = sdtlpdtrp0(xe,xm) )
| ~ aElementOf0(sdtlpdtrp0(xe,xm),szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(xQ),szDzozmdt0(xN))
| ~ sdtlseqdt0(szmzizndt0(xQ),sdtlpdtrp0(xe,xm))
| ~ sdtlseqdt0(sdtlpdtrp0(xe,xm),szmzizndt0(xQ)) ) ),
inference(transitivity,[status(thm)],[103,101]) ).
tff(105,plain,
( ~ ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) )
| ( szmzizndt0(xQ) = sdtlpdtrp0(xe,xm) )
| ~ sdtlseqdt0(sdtlpdtrp0(xe,xm),szmzizndt0(xQ))
| ~ aElementOf0(sdtlpdtrp0(xe,xm),szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(xQ),szDzozmdt0(xN))
| ~ sdtlseqdt0(szmzizndt0(xQ),sdtlpdtrp0(xe,xm)) ),
inference(quant_inst,[status(thm)],]) ).
tff(106,plain,
( ~ ! [W0: $i,W1: $i] :
( ( W0 = W1 )
| ~ sdtlseqdt0(W1,W0)
| ~ aElementOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(W0,szDzozmdt0(xN))
| ~ sdtlseqdt0(W0,W1) )
| ( szmzizndt0(xQ) = sdtlpdtrp0(xe,xm) )
| ~ aElementOf0(sdtlpdtrp0(xe,xm),szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(xQ),szDzozmdt0(xN))
| ~ sdtlseqdt0(szmzizndt0(xQ),sdtlpdtrp0(xe,xm))
| ~ sdtlseqdt0(sdtlpdtrp0(xe,xm),szmzizndt0(xQ)) ),
inference(modus_ponens,[status(thm)],[105,104]) ).
tff(107,plain,
$false,
inference(unit_resolution,[status(thm)],[106,100,84,78,73,50,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM623+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Sep 2 12:26:34 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 1.27/1.06 % SZS status Theorem
% 1.27/1.06 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------