TSTP Solution File: NUM624+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NUM624+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.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 0.20s 0.54s
% Output : Proof 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 48
% Syntax : Number of formulae : 95 ( 32 unt; 16 typ; 0 def)
% Number of atoms : 590 ( 246 equ)
% Maximal formula atoms : 28 ( 7 avg)
% Number of connectives : 775 ( 308 ~; 246 |; 154 &)
% ( 56 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 44 ( 44 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 6 >; 3 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 58 ( 50 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
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(xN_type,type,
xN: $i ).
tff(xe_type,type,
xe: $i ).
tff(xx_type,type,
xx: $i ).
tff(xp_type,type,
xp: $i ).
tff(aElementOf0_type,type,
aElementOf0: ( $i * $i ) > $o ).
tff(slbdtrb0_type,type,
slbdtrb0: $i > $i ).
tff(sz00_type,type,
sz00: $i ).
tff(slcrc0_type,type,
slcrc0: $i ).
tff(aSubsetOf0_type,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff(szNzAzT0_type,type,
szNzAzT0: $i ).
tff(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
tff(xO_type,type,
xO: $i ).
tff(1,plain,
( ( sdtlpdtrp0(xe,xm) = szmzizndt0(xQ) )
<=> ( szmzizndt0(xQ) = sdtlpdtrp0(xe,xm) ) ),
inference(commutativity,[status(thm)],]) ).
tff(2,plain,
( ( xx = szmzizndt0(sdtlpdtrp0(xN,xm)) )
<=> ( sdtlpdtrp0(xe,xm) = szmzizndt0(sdtlpdtrp0(xN,xm)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(3,plain,
( ( xx = szmzizndt0(sdtlpdtrp0(xN,xm)) )
<=> ( xx = szmzizndt0(sdtlpdtrp0(xN,xm)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,axiom,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5401) ).
tff(5,plain,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
sdtlpdtrp0(xe,xm) = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(modus_ponens,[status(thm)],[5,2]) ).
tff(7,plain,
szmzizndt0(sdtlpdtrp0(xN,xm)) = sdtlpdtrp0(xe,xm),
inference(symmetry,[status(thm)],[6]) ).
tff(8,plain,
( ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(xQ) )
<=> ( sdtlpdtrp0(xe,xm) = szmzizndt0(xQ) ) ),
inference(monotonicity,[status(thm)],[7]) ).
tff(9,plain,
( ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(xQ) )
<=> ( szmzizndt0(xQ) = sdtlpdtrp0(xe,xm) ) ),
inference(transitivity,[status(thm)],[8,1]) ).
tff(10,plain,
( ( szmzizndt0(xQ) = sdtlpdtrp0(xe,xm) )
<=> ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(xQ) ) ),
inference(symmetry,[status(thm)],[9]) ).
tff(11,plain,
( ( szmzizndt0(xQ) != sdtlpdtrp0(xe,xm) )
<=> ( szmzizndt0(sdtlpdtrp0(xN,xm)) != szmzizndt0(xQ) ) ),
inference(monotonicity,[status(thm)],[10]) ).
tff(12,plain,
( ( xp != xx )
<=> ( szmzizndt0(xQ) != sdtlpdtrp0(xe,xm) ) ),
inference(rewrite,[status(thm)],]) ).
tff(13,plain,
( ( xp != xx )
<=> ( xp != xx ) ),
inference(rewrite,[status(thm)],]) ).
tff(14,axiom,
xp != xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(15,plain,
xp != xx,
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
szmzizndt0(xQ) != sdtlpdtrp0(xe,xm),
inference(modus_ponens,[status(thm)],[15,12]) ).
tff(17,plain,
szmzizndt0(sdtlpdtrp0(xN,xm)) != szmzizndt0(xQ),
inference(modus_ponens,[status(thm)],[16,11]) ).
tff(18,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xQ)
<=> aElementOf0(sdtlpdtrp0(xe,xm),xQ) ),
inference(monotonicity,[status(thm)],[7]) ).
tff(19,plain,
( aElementOf0(sdtlpdtrp0(xe,xm),xQ)
<=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xQ) ),
inference(symmetry,[status(thm)],[18]) ).
tff(20,plain,
( aElementOf0(xx,xQ)
<=> aElementOf0(sdtlpdtrp0(xe,xm),xQ) ),
inference(rewrite,[status(thm)],]) ).
tff(21,plain,
( aElementOf0(xx,xQ)
<=> aElementOf0(xx,xQ) ),
inference(rewrite,[status(thm)],]) ).
tff(22,axiom,
( aElementOf0(xp,sdtlpdtrp0(xN,xm))
& aElementOf0(xx,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5481) ).
tff(23,plain,
aElementOf0(xx,xQ),
inference(and_elim,[status(thm)],[22]) ).
tff(24,plain,
aElementOf0(xx,xQ),
inference(modus_ponens,[status(thm)],[23,21]) ).
tff(25,plain,
aElementOf0(sdtlpdtrp0(xe,xm),xQ),
inference(modus_ponens,[status(thm)],[24,20]) ).
tff(26,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xQ),
inference(modus_ponens,[status(thm)],[25,19]) ).
tff(27,plain,
( ( sdtlpdtrp0(xN,xm) != slcrc0 )
<=> ( sdtlpdtrp0(xN,xm) != slbdtrb0(sz00) ) ),
inference(rewrite,[status(thm)],]) ).
tff(28,plain,
( ( sdtlpdtrp0(xN,xm) != slcrc0 )
<=> ( sdtlpdtrp0(xN,xm) != slcrc0 ) ),
inference(rewrite,[status(thm)],]) ).
tff(29,axiom,
( aSubsetOf0(xQ,szNzAzT0)
& aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
& ( xQ != slcrc0 )
& ( sdtlpdtrp0(xN,xm) != slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5518) ).
tff(30,plain,
sdtlpdtrp0(xN,xm) != slcrc0,
inference(and_elim,[status(thm)],[29]) ).
tff(31,plain,
sdtlpdtrp0(xN,xm) != slcrc0,
inference(modus_ponens,[status(thm)],[30,28]) ).
tff(32,plain,
sdtlpdtrp0(xN,xm) != slbdtrb0(sz00),
inference(modus_ponens,[status(thm)],[31,27]) ).
tff(33,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
<=> aSubsetOf0(sdtlpdtrp0(xN,xm),szDzozmdt0(xN)) ),
inference(rewrite,[status(thm)],]) ).
tff(34,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
<=> aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(rewrite,[status(thm)],]) ).
tff(35,plain,
( aSubsetOf0(xQ,szNzAzT0)
& aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
& ( xQ != slcrc0 ) ),
inference(and_elim,[status(thm)],[29]) ).
tff(36,plain,
( aSubsetOf0(xQ,szNzAzT0)
& aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(and_elim,[status(thm)],[35]) ).
tff(37,plain,
aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(and_elim,[status(thm)],[36]) ).
tff(38,plain,
aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(modus_ponens,[status(thm)],[37,34]) ).
tff(39,plain,
aSubsetOf0(sdtlpdtrp0(xN,xm),szDzozmdt0(xN)),
inference(modus_ponens,[status(thm)],[38,33]) ).
tff(40,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xm))
<=> aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm)) ),
inference(rewrite,[status(thm)],]) ).
tff(41,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xm))
<=> aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
inference(rewrite,[status(thm)],]) ).
tff(42,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(and_elim,[status(thm)],[22]) ).
tff(43,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(modus_ponens,[status(thm)],[42,41]) ).
tff(44,plain,
aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm)),
inference(modus_ponens,[status(thm)],[43,40]) ).
tff(45,plain,
( aSubsetOf0(xQ,szNzAzT0)
<=> aSubsetOf0(xQ,szDzozmdt0(xN)) ),
inference(rewrite,[status(thm)],]) ).
tff(46,plain,
( aSubsetOf0(xQ,szNzAzT0)
<=> aSubsetOf0(xQ,szNzAzT0) ),
inference(rewrite,[status(thm)],]) ).
tff(47,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).
tff(48,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
aSubsetOf0(xQ,szDzozmdt0(xN)),
inference(modus_ponens,[status(thm)],[48,45]) ).
tff(50,plain,
( ( xQ != slcrc0 )
<=> ( xQ != slbdtrb0(sz00) ) ),
inference(rewrite,[status(thm)],]) ).
tff(51,plain,
( ( xQ != slcrc0 )
<=> ( xQ != slcrc0 ) ),
inference(rewrite,[status(thm)],]) ).
tff(52,axiom,
( aSubsetOf0(xQ,xO)
& ( xQ != slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).
tff(53,plain,
xQ != slcrc0,
inference(and_elim,[status(thm)],[52]) ).
tff(54,plain,
xQ != slcrc0,
inference(modus_ponens,[status(thm)],[53,51]) ).
tff(55,plain,
xQ != slbdtrb0(sz00),
inference(modus_ponens,[status(thm)],[54,50]) ).
tff(56,plain,
^ [W0: $i,W1: $i] :
refl(
( ( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) )
<=> ( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) ) )),
inference(bind,[status(th)],]) ).
tff(57,plain,
( ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) )
<=> ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) ) ),
inference(quant_intro,[status(thm)],[56]) ).
tff(58,plain,
^ [W0: $i,W1: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
<=> ~ ( ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0) ) )),
( ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
<=> ~ ~ ( ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0) ) )),
rewrite(
( ~ ~ ( ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0) )
<=> ( ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0) ) )),
( ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
<=> ( ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0) ) )),
trans(
monotonicity(
rewrite(
( ( aSubsetOf0(W0,szDzozmdt0(xN))
& aSubsetOf0(W1,szDzozmdt0(xN))
& ( W0 != slbdtrb0(sz00) )
& ( W1 != slbdtrb0(sz00) ) )
<=> ~ ( ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) ) )),
( ~ ( aSubsetOf0(W0,szDzozmdt0(xN))
& aSubsetOf0(W1,szDzozmdt0(xN))
& ( W0 != slbdtrb0(sz00) )
& ( W1 != slbdtrb0(sz00) ) )
<=> ~ ~ ( ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) ) )),
rewrite(
( ~ ~ ( ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) )
<=> ( ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) ) )),
( ~ ( aSubsetOf0(W0,szDzozmdt0(xN))
& aSubsetOf0(W1,szDzozmdt0(xN))
& ( W0 != slbdtrb0(sz00) )
& ( W1 != slbdtrb0(sz00) ) )
<=> ( ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) ) )),
( ( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szDzozmdt0(xN))
& aSubsetOf0(W1,szDzozmdt0(xN))
& ( W0 != slbdtrb0(sz00) )
& ( W1 != slbdtrb0(sz00) ) ) )
<=> ( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) ) )),
rewrite(
( ( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) )
<=> ( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) ) )),
( ( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szDzozmdt0(xN))
& aSubsetOf0(W1,szDzozmdt0(xN))
& ( W0 != slbdtrb0(sz00) )
& ( W1 != slbdtrb0(sz00) ) ) )
<=> ( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) ) )),
inference(bind,[status(th)],]) ).
tff(59,plain,
( ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szDzozmdt0(xN))
& aSubsetOf0(W1,szDzozmdt0(xN))
& ( W0 != slbdtrb0(sz00) )
& ( W1 != slbdtrb0(sz00) ) ) )
<=> ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) ) ),
inference(quant_intro,[status(thm)],[58]) ).
tff(60,plain,
^ [W0: $i,W1: $i] :
trans(
monotonicity(
rewrite(
( ~ ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) )
<=> ~ ( aSubsetOf0(W0,szDzozmdt0(xN))
& aSubsetOf0(W1,szDzozmdt0(xN))
& ( W0 != slbdtrb0(sz00) )
& ( W1 != slbdtrb0(sz00) ) ) )),
( ( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) ) )
<=> ( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szDzozmdt0(xN))
& aSubsetOf0(W1,szDzozmdt0(xN))
& ( W0 != slbdtrb0(sz00) )
& ( W1 != slbdtrb0(sz00) ) ) ) )),
rewrite(
( ( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szDzozmdt0(xN))
& aSubsetOf0(W1,szDzozmdt0(xN))
& ( W0 != slbdtrb0(sz00) )
& ( W1 != slbdtrb0(sz00) ) ) )
<=> ( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szDzozmdt0(xN))
& aSubsetOf0(W1,szDzozmdt0(xN))
& ( W0 != slbdtrb0(sz00) )
& ( W1 != slbdtrb0(sz00) ) ) ) )),
( ( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) ) )
<=> ( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szDzozmdt0(xN))
& aSubsetOf0(W1,szDzozmdt0(xN))
& ( W0 != slbdtrb0(sz00) )
& ( W1 != slbdtrb0(sz00) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(61,plain,
( ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) ) )
<=> ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szDzozmdt0(xN))
& aSubsetOf0(W1,szDzozmdt0(xN))
& ( W0 != slbdtrb0(sz00) )
& ( W1 != slbdtrb0(sz00) ) ) ) ),
inference(quant_intro,[status(thm)],[60]) ).
tff(62,plain,
( ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) ) )
<=> ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(63,plain,
^ [W0: $i,W1: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 ) )
<=> ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 ) ) )),
( ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) )
<=> ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) ) )),
rewrite(
( ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) )
<=> ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) ) )),
( ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) )
<=> ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) ) )),
rewrite(
( ( ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
=> ( szmzizndt0(W0) = szmzizndt0(W1) ) )
<=> ( ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ( szmzizndt0(W0) = szmzizndt0(W1) ) ) )),
( ( ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) )
=> ( ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
=> ( szmzizndt0(W0) = szmzizndt0(W1) ) ) )
<=> ( ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) )
=> ( ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ( szmzizndt0(W0) = szmzizndt0(W1) ) ) ) )),
rewrite(
( ( ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) )
=> ( ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ( szmzizndt0(W0) = szmzizndt0(W1) ) ) )
<=> ( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) ) ) )),
( ( ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) )
=> ( ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
=> ( szmzizndt0(W0) = szmzizndt0(W1) ) ) )
<=> ( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) ) ) )),
inference(bind,[status(th)],]) ).
tff(64,plain,
( ! [W0: $i,W1: $i] :
( ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) )
=> ( ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
=> ( szmzizndt0(W0) = szmzizndt0(W1) ) ) )
<=> ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) ) ) ),
inference(quant_intro,[status(thm)],[63]) ).
tff(65,axiom,
! [W0: $i,W1: $i] :
( ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) )
=> ( ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
=> ( szmzizndt0(W0) = szmzizndt0(W1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMinMin) ).
tff(66,plain,
! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) ) ),
inference(modus_ponens,[status(thm)],[65,64]) ).
tff(67,plain,
! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) ) ),
inference(modus_ponens,[status(thm)],[66,62]) ).
tff(68,plain,
! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szDzozmdt0(xN))
& aSubsetOf0(W1,szDzozmdt0(xN))
& ( W0 != slbdtrb0(sz00) )
& ( W1 != slbdtrb0(sz00) ) ) ),
inference(modus_ponens,[status(thm)],[67,61]) ).
tff(69,plain,
! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ~ ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
| ~ ( aSubsetOf0(W0,szDzozmdt0(xN))
& aSubsetOf0(W1,szDzozmdt0(xN))
& ( W0 != slbdtrb0(sz00) )
& ( W1 != slbdtrb0(sz00) ) ) ),
inference(skolemize,[status(sab)],[68]) ).
tff(70,plain,
! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) ),
inference(modus_ponens,[status(thm)],[69,59]) ).
tff(71,plain,
! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) ),
inference(modus_ponens,[status(thm)],[70,57]) ).
tff(72,plain,
( ( ~ ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) )
| ( xQ = slbdtrb0(sz00) )
| ( sdtlpdtrp0(xN,xm) = slbdtrb0(sz00) )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szDzozmdt0(xN))
| ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(xQ) )
| ~ aSubsetOf0(xQ,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xQ)
| ~ aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm)) )
<=> ( ~ ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) )
| ( xQ = slbdtrb0(sz00) )
| ( sdtlpdtrp0(xN,xm) = slbdtrb0(sz00) )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szDzozmdt0(xN))
| ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(xQ) )
| ~ aSubsetOf0(xQ,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xQ)
| ~ aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(73,plain,
( ( ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(xQ) )
| ( xQ = slbdtrb0(sz00) )
| ( sdtlpdtrp0(xN,xm) = slbdtrb0(sz00) )
| ~ aSubsetOf0(xQ,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xQ)
| ~ aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szDzozmdt0(xN)) )
<=> ( ( xQ = slbdtrb0(sz00) )
| ( sdtlpdtrp0(xN,xm) = slbdtrb0(sz00) )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szDzozmdt0(xN))
| ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(xQ) )
| ~ aSubsetOf0(xQ,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xQ)
| ~ aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(74,plain,
( ( ~ ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) )
| ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(xQ) )
| ( xQ = slbdtrb0(sz00) )
| ( sdtlpdtrp0(xN,xm) = slbdtrb0(sz00) )
| ~ aSubsetOf0(xQ,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xQ)
| ~ aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szDzozmdt0(xN)) )
<=> ( ~ ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) )
| ( xQ = slbdtrb0(sz00) )
| ( sdtlpdtrp0(xN,xm) = slbdtrb0(sz00) )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szDzozmdt0(xN))
| ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(xQ) )
| ~ aSubsetOf0(xQ,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xQ)
| ~ aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm)) ) ),
inference(monotonicity,[status(thm)],[73]) ).
tff(75,plain,
( ( ~ ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) )
| ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(xQ) )
| ( xQ = slbdtrb0(sz00) )
| ( sdtlpdtrp0(xN,xm) = slbdtrb0(sz00) )
| ~ aSubsetOf0(xQ,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xQ)
| ~ aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szDzozmdt0(xN)) )
<=> ( ~ ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) )
| ( xQ = slbdtrb0(sz00) )
| ( sdtlpdtrp0(xN,xm) = slbdtrb0(sz00) )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szDzozmdt0(xN))
| ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(xQ) )
| ~ aSubsetOf0(xQ,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xQ)
| ~ aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm)) ) ),
inference(transitivity,[status(thm)],[74,72]) ).
tff(76,plain,
( ~ ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) )
| ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(xQ) )
| ( xQ = slbdtrb0(sz00) )
| ( sdtlpdtrp0(xN,xm) = slbdtrb0(sz00) )
| ~ aSubsetOf0(xQ,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xQ)
| ~ aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szDzozmdt0(xN)) ),
inference(quant_inst,[status(thm)],]) ).
tff(77,plain,
( ~ ! [W0: $i,W1: $i] :
( ( szmzizndt0(W0) = szmzizndt0(W1) )
| ( W1 = slbdtrb0(sz00) )
| ( W0 = slbdtrb0(sz00) )
| ~ aSubsetOf0(W1,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(W0),W1)
| ~ aElementOf0(szmzizndt0(W1),W0)
| ~ aSubsetOf0(W0,szDzozmdt0(xN)) )
| ( xQ = slbdtrb0(sz00) )
| ( sdtlpdtrp0(xN,xm) = slbdtrb0(sz00) )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szDzozmdt0(xN))
| ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(xQ) )
| ~ aSubsetOf0(xQ,szDzozmdt0(xN))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xQ)
| ~ aElementOf0(szmzizndt0(xQ),sdtlpdtrp0(xN,xm)) ),
inference(modus_ponens,[status(thm)],[76,75]) ).
tff(78,plain,
( ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(xQ) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xQ) ),
inference(unit_resolution,[status(thm)],[77,71,55,49,44,39,32]) ).
tff(79,plain,
$false,
inference(unit_resolution,[status(thm)],[78,26,17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM624+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Sep 2 12:36:47 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.33 Usage: tptp [options] [-file:]file
% 0.13/0.33 -h, -? prints this message.
% 0.13/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.33 -m, -model generate model.
% 0.13/0.33 -p, -proof generate proof.
% 0.13/0.33 -c, -core generate unsat core of named formulas.
% 0.13/0.33 -st, -statistics display statistics.
% 0.13/0.33 -t:timeout set timeout (in second).
% 0.13/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.33 -<param>:<value> configuration parameter and value.
% 0.13/0.33 -o:<output-file> file to place output in.
% 0.20/0.54 % SZS status Theorem
% 0.20/0.54 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------