TSTP Solution File: CSR004+2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR004+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n023.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 : Tue Sep 20 14:26:59 EDT 2022
% Result : Theorem 0.21s 0.41s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 31
% Syntax : Number of formulae : 54 ( 14 unt; 10 typ; 0 def)
% Number of atoms : 309 ( 133 equ)
% Maximal formula atoms : 23 ( 7 avg)
% Number of connectives : 495 ( 234 ~; 146 |; 51 &)
% ( 64 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 4 ( 4 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 58 ( 50 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
tff(holdsAt_type,type,
holdsAt: ( $i * $i ) > $o ).
tff(plus_type,type,
plus: ( $i * $i ) > $i ).
tff(n1_type,type,
n1: $i ).
tff(filling_type,type,
filling: $i ).
tff(waterLevel_type,type,
waterLevel: $i > $i ).
tff(n0_type,type,
n0: $i ).
tff(tapOn_type,type,
tapOn: $i ).
tff(overflow_type,type,
overflow: $i ).
tff(happens_type,type,
happens: ( $i * $i ) > $o ).
tff(n3_type,type,
n3: $i ).
tff(1,plain,
( holdsAt(filling,n3)
<=> holdsAt(filling,plus(n1,plus(n1,n1))) ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( holdsAt(filling,n3)
<=> holdsAt(filling,n3) ),
inference(rewrite,[status(thm)],]) ).
tff(3,axiom,
holdsAt(filling,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filling_3) ).
tff(4,plain,
holdsAt(filling,n3),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
holdsAt(filling,plus(n1,plus(n1,n1))),
inference(modus_ponens,[status(thm)],[4,1]) ).
tff(6,plain,
( holdsAt(waterLevel(n3),n3)
<=> holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1))) ),
inference(rewrite,[status(thm)],]) ).
tff(7,plain,
( holdsAt(waterLevel(n3),n3)
<=> holdsAt(waterLevel(n3),n3) ),
inference(rewrite,[status(thm)],]) ).
tff(8,axiom,
holdsAt(waterLevel(n3),n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_3) ).
tff(9,plain,
holdsAt(waterLevel(n3),n3),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1))),
inference(modus_ponens,[status(thm)],[9,6]) ).
tff(11,plain,
( ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1))) )
| ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1))) ),
inference(tautology,[status(thm)],]) ).
tff(12,plain,
~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1))) ),
inference(unit_resolution,[status(thm)],[11,10,5]) ).
tff(13,plain,
( ~ ( ( overflow != tapOn )
| ( plus(n1,plus(n1,n1)) != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1))) )
| ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1))) ),
inference(tautology,[status(thm)],]) ).
tff(14,plain,
( ~ ( ( overflow != tapOn )
| ( plus(n1,plus(n1,n1)) != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1))) ) ),
inference(unit_resolution,[status(thm)],[13,12]) ).
tff(15,plain,
( ~ happens(overflow,n3)
<=> ~ happens(overflow,plus(n1,plus(n1,n1))) ),
inference(rewrite,[status(thm)],]) ).
tff(16,plain,
( ~ happens(overflow,n3)
<=> ~ happens(overflow,n3) ),
inference(rewrite,[status(thm)],]) ).
tff(17,axiom,
~ happens(overflow,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',overflow_3) ).
tff(18,plain,
~ happens(overflow,n3),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
~ happens(overflow,plus(n1,plus(n1,n1))),
inference(modus_ponens,[status(thm)],[18,15]) ).
tff(20,plain,
( ~ ( happens(overflow,plus(n1,plus(n1,n1)))
<=> ( ~ ( ( overflow != tapOn )
| ( plus(n1,plus(n1,n1)) != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1))) ) ) )
| happens(overflow,plus(n1,plus(n1,n1)))
| ~ ( ~ ( ( overflow != tapOn )
| ( plus(n1,plus(n1,n1)) != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1))) ) ) ),
inference(tautology,[status(thm)],]) ).
tff(21,plain,
~ ( happens(overflow,plus(n1,plus(n1,n1)))
<=> ( ~ ( ( overflow != tapOn )
| ( plus(n1,plus(n1,n1)) != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1))) ) ) ),
inference(unit_resolution,[status(thm)],[20,19,14]) ).
tff(22,plain,
^ [Event: $i,Time: $i] :
refl(
( ( happens(Event,Time)
<=> ( ~ ( ( Event != tapOn )
| ( Time != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
| ~ holdsAt(filling,Time)
| ( Event != overflow ) ) ) )
<=> ( happens(Event,Time)
<=> ( ~ ( ( Event != tapOn )
| ( Time != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
| ~ holdsAt(filling,Time)
| ( Event != overflow ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(23,plain,
( ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ~ ( ( Event != tapOn )
| ( Time != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
| ~ holdsAt(filling,Time)
| ( Event != overflow ) ) ) )
<=> ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ~ ( ( Event != tapOn )
| ( Time != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
| ~ holdsAt(filling,Time)
| ( Event != overflow ) ) ) ) ),
inference(quant_intro,[status(thm)],[22]) ).
tff(24,plain,
^ [Event: $i,Time: $i] :
rewrite(
( ( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) )
<=> ( happens(Event,Time)
<=> ( ~ ( ( Event != tapOn )
| ( Time != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
| ~ holdsAt(filling,Time)
| ( Event != overflow ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(25,plain,
( ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) )
<=> ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ~ ( ( Event != tapOn )
| ( Time != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
| ~ holdsAt(filling,Time)
| ( Event != overflow ) ) ) ) ),
inference(quant_intro,[status(thm)],[24]) ).
tff(26,plain,
^ [Event: $i,Time: $i] :
rewrite(
( ( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) )
<=> ( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(27,plain,
( ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) )
<=> ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) ) ),
inference(quant_intro,[status(thm)],[26]) ).
tff(28,plain,
( ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) )
<=> ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(29,plain,
^ [Event: $i,Time: $i] :
rewrite(
( ( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) )
<=> ( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(30,plain,
( ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) )
<=> ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) ) ),
inference(quant_intro,[status(thm)],[29]) ).
tff(31,axiom,
! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
tff(32,plain,
! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) ),
inference(modus_ponens,[status(thm)],[31,30]) ).
tff(33,plain,
! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) ),
inference(modus_ponens,[status(thm)],[32,28]) ).
tff(34,plain,
! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) ),
inference(modus_ponens,[status(thm)],[33,27]) ).
tff(35,plain,
! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) ),
inference(skolemize,[status(sab)],[34]) ).
tff(36,plain,
! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ~ ( ( Event != tapOn )
| ( Time != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
| ~ holdsAt(filling,Time)
| ( Event != overflow ) ) ) ),
inference(modus_ponens,[status(thm)],[35,25]) ).
tff(37,plain,
! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ~ ( ( Event != tapOn )
| ( Time != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
| ~ holdsAt(filling,Time)
| ( Event != overflow ) ) ) ),
inference(modus_ponens,[status(thm)],[36,23]) ).
tff(38,plain,
( ( ~ ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ~ ( ( Event != tapOn )
| ( Time != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
| ~ holdsAt(filling,Time)
| ( Event != overflow ) ) ) )
| ( happens(overflow,plus(n1,plus(n1,n1)))
<=> ( ~ ( ( overflow != tapOn )
| ( plus(n1,plus(n1,n1)) != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1))) ) ) ) )
<=> ( ~ ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ~ ( ( Event != tapOn )
| ( Time != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
| ~ holdsAt(filling,Time)
| ( Event != overflow ) ) ) )
| ( happens(overflow,plus(n1,plus(n1,n1)))
<=> ( ~ ( ( overflow != tapOn )
| ( plus(n1,plus(n1,n1)) != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1))) ) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(39,plain,
( ( happens(overflow,plus(n1,plus(n1,n1)))
<=> ( ~ ( ( overflow != tapOn )
| ( plus(n1,plus(n1,n1)) != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1)))
| ( overflow != overflow ) ) ) )
<=> ( happens(overflow,plus(n1,plus(n1,n1)))
<=> ( ~ ( ( overflow != tapOn )
| ( plus(n1,plus(n1,n1)) != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1))) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(40,plain,
( ( ~ ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ~ ( ( Event != tapOn )
| ( Time != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
| ~ holdsAt(filling,Time)
| ( Event != overflow ) ) ) )
| ( happens(overflow,plus(n1,plus(n1,n1)))
<=> ( ~ ( ( overflow != tapOn )
| ( plus(n1,plus(n1,n1)) != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1)))
| ( overflow != overflow ) ) ) ) )
<=> ( ~ ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ~ ( ( Event != tapOn )
| ( Time != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
| ~ holdsAt(filling,Time)
| ( Event != overflow ) ) ) )
| ( happens(overflow,plus(n1,plus(n1,n1)))
<=> ( ~ ( ( overflow != tapOn )
| ( plus(n1,plus(n1,n1)) != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1))) ) ) ) ) ),
inference(monotonicity,[status(thm)],[39]) ).
tff(41,plain,
( ( ~ ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ~ ( ( Event != tapOn )
| ( Time != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
| ~ holdsAt(filling,Time)
| ( Event != overflow ) ) ) )
| ( happens(overflow,plus(n1,plus(n1,n1)))
<=> ( ~ ( ( overflow != tapOn )
| ( plus(n1,plus(n1,n1)) != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1)))
| ( overflow != overflow ) ) ) ) )
<=> ( ~ ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ~ ( ( Event != tapOn )
| ( Time != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
| ~ holdsAt(filling,Time)
| ( Event != overflow ) ) ) )
| ( happens(overflow,plus(n1,plus(n1,n1)))
<=> ( ~ ( ( overflow != tapOn )
| ( plus(n1,plus(n1,n1)) != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1))) ) ) ) ) ),
inference(transitivity,[status(thm)],[40,38]) ).
tff(42,plain,
( ~ ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ~ ( ( Event != tapOn )
| ( Time != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
| ~ holdsAt(filling,Time)
| ( Event != overflow ) ) ) )
| ( happens(overflow,plus(n1,plus(n1,n1)))
<=> ( ~ ( ( overflow != tapOn )
| ( plus(n1,plus(n1,n1)) != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1)))
| ( overflow != overflow ) ) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(43,plain,
( ~ ! [Event: $i,Time: $i] :
( happens(Event,Time)
<=> ( ~ ( ( Event != tapOn )
| ( Time != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),Time)
| ~ holdsAt(filling,Time)
| ( Event != overflow ) ) ) )
| ( happens(overflow,plus(n1,plus(n1,n1)))
<=> ( ~ ( ( overflow != tapOn )
| ( plus(n1,plus(n1,n1)) != n0 ) )
| ~ ( ~ holdsAt(waterLevel(plus(n1,plus(n1,n1))),plus(n1,plus(n1,n1)))
| ~ holdsAt(filling,plus(n1,plus(n1,n1))) ) ) ) ),
inference(modus_ponens,[status(thm)],[42,41]) ).
tff(44,plain,
$false,
inference(unit_resolution,[status(thm)],[43,37,21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR004+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n023.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 : Tue Aug 30 16:22:20 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.34 Usage: tptp [options] [-file:]file
% 0.14/0.34 -h, -? prints this message.
% 0.14/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.34 -m, -model generate model.
% 0.14/0.34 -p, -proof generate proof.
% 0.14/0.34 -c, -core generate unsat core of named formulas.
% 0.14/0.34 -st, -statistics display statistics.
% 0.14/0.34 -t:timeout set timeout (in second).
% 0.14/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.34 -<param>:<value> configuration parameter and value.
% 0.14/0.34 -o:<output-file> file to place output in.
% 0.21/0.41 % SZS status Theorem
% 0.21/0.41 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------