TSTP Solution File: PLA001-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PLA001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n009.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 13:39:51 EDT 2022
% Result : Unsatisfiable 38.90s 25.20s
% Output : Proof 38.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 68
% Syntax : Number of formulae : 127 ( 33 unt; 15 typ; 0 def)
% Number of atoms : 571 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 841 ( 401 ~; 385 |; 0 &)
% ( 55 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of FOOLs : 19 ( 19 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 6 >; 5 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 494 ( 464 !; 0 ?; 494 :)
% Comments :
%------------------------------------------------------------------------------
tff(at_type,type,
at: ( $i * $i * $i * $i ) > $o ).
tff(drive_type,type,
drive: ( $i * $i ) > $i ).
tff(wait_at_type,type,
wait_at: $i > $i ).
tff(buy_type,type,
buy: $i > $i ).
tff(initial_situation_type,type,
initial_situation: $i ).
tff(northPlatte_type,type,
northPlatte: $i ).
tff(cheyenne_type,type,
cheyenne: $i ).
tff(grandIsland_type,type,
grandIsland: $i ).
tff(lincoln_type,type,
lincoln: $i ).
tff(omaha_type,type,
omaha: $i ).
tff(desMoines_type,type,
desMoines: $i ).
tff(s_type,type,
s: $i > $i ).
tff(start_type,type,
start: $i ).
tff(none_type,type,
none: $i ).
tff(next_to_type,type,
next_to: ( $i * $i ) > $o ).
tff(1,plain,
( at(cheyenne,none,start,initial_situation)
<=> at(cheyenne,none,start,initial_situation) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
at(cheyenne,none,start,initial_situation),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial) ).
tff(3,plain,
at(cheyenne,none,start,initial_situation),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( next_to(cheyenne,northPlatte)
<=> next_to(cheyenne,northPlatte) ),
inference(rewrite,[status(thm)],]) ).
tff(5,axiom,
next_to(cheyenne,northPlatte),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map6) ).
tff(6,plain,
next_to(cheyenne,northPlatte),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
^ [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
refl(
( ( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
<=> ( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) ) )),
inference(bind,[status(th)],]) ).
tff(8,plain,
( ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
<=> ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,plain,
( ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
<=> ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) ) ),
inference(rewrite,[status(thm)],]) ).
tff(10,plain,
^ [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
trans(
monotonicity(
rewrite(
( ( ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(FromCity,ToCity) )
<=> ( ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) ) )),
( ( ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(FromCity,ToCity)
| at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation)) )
<=> ( ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation)
| at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation)) ) )),
rewrite(
( ( ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation)
| at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation)) )
<=> ( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) ) )),
( ( ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(FromCity,ToCity)
| at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation)) )
<=> ( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) ) )),
inference(bind,[status(th)],]) ).
tff(11,plain,
( ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(FromCity,ToCity)
| at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation)) )
<=> ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,axiom,
! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(FromCity,ToCity)
| at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive1) ).
tff(13,plain,
! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) ),
inference(modus_ponens,[status(thm)],[13,9]) ).
tff(15,plain,
! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) ),
inference(modus_ponens,[status(thm)],[15,8]) ).
tff(17,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(northPlatte,none,s(s(start)),drive(northPlatte,initial_situation))
| ~ next_to(cheyenne,northPlatte)
| ~ at(cheyenne,none,start,initial_situation) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(northPlatte,none,s(s(start)),drive(northPlatte,initial_situation))
| ~ next_to(cheyenne,northPlatte)
| ~ at(cheyenne,none,start,initial_situation) ) ),
inference(rewrite,[status(thm)],]) ).
tff(18,plain,
( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(northPlatte,none,s(s(start)),drive(northPlatte,initial_situation))
| ~ next_to(cheyenne,northPlatte)
| ~ at(cheyenne,none,start,initial_situation) ),
inference(quant_inst,[status(thm)],]) ).
tff(19,plain,
( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(northPlatte,none,s(s(start)),drive(northPlatte,initial_situation))
| ~ next_to(cheyenne,northPlatte)
| ~ at(cheyenne,none,start,initial_situation) ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
at(northPlatte,none,s(s(start)),drive(northPlatte,initial_situation)),
inference(unit_resolution,[status(thm)],[19,16,6,3]) ).
tff(21,plain,
^ [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
refl(
( ( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) )
<=> ( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) ) )),
inference(bind,[status(th)],]) ).
tff(22,plain,
( ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) )
<=> ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) ) ),
inference(quant_intro,[status(thm)],[21]) ).
tff(23,plain,
( ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) )
<=> ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) ) ),
inference(rewrite,[status(thm)],]) ).
tff(24,plain,
^ [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
trans(
monotonicity(
rewrite(
( ( ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) )
<=> ( ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) ) )),
( ( ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity)
| at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation)) )
<=> ( ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity)
| at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation)) ) )),
rewrite(
( ( ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity)
| at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation)) )
<=> ( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) ) )),
( ( ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity)
| at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation)) )
<=> ( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) ) )),
inference(bind,[status(th)],]) ).
tff(25,plain,
( ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity)
| at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation)) )
<=> ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) ) ),
inference(quant_intro,[status(thm)],[24]) ).
tff(26,axiom,
! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity)
| at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive2) ).
tff(27,plain,
! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) ),
inference(modus_ponens,[status(thm)],[26,25]) ).
tff(28,plain,
! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) ),
inference(modus_ponens,[status(thm)],[27,23]) ).
tff(29,plain,
! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) ),
inference(skolemize,[status(sab)],[28]) ).
tff(30,plain,
! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) ),
inference(modus_ponens,[status(thm)],[29,22]) ).
tff(31,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) )
| ~ next_to(cheyenne,northPlatte)
| at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation)))
| ~ at(northPlatte,none,s(s(start)),drive(northPlatte,initial_situation)) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) )
| ~ next_to(cheyenne,northPlatte)
| at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation)))
| ~ at(northPlatte,none,s(s(start)),drive(northPlatte,initial_situation)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(32,plain,
( ( at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation)))
| ~ at(northPlatte,none,s(s(start)),drive(northPlatte,initial_situation))
| ~ next_to(cheyenne,northPlatte) )
<=> ( ~ next_to(cheyenne,northPlatte)
| at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation)))
| ~ at(northPlatte,none,s(s(start)),drive(northPlatte,initial_situation)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(33,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) )
| at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation)))
| ~ at(northPlatte,none,s(s(start)),drive(northPlatte,initial_situation))
| ~ next_to(cheyenne,northPlatte) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) )
| ~ next_to(cheyenne,northPlatte)
| at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation)))
| ~ at(northPlatte,none,s(s(start)),drive(northPlatte,initial_situation)) ) ),
inference(monotonicity,[status(thm)],[32]) ).
tff(34,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) )
| at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation)))
| ~ at(northPlatte,none,s(s(start)),drive(northPlatte,initial_situation))
| ~ next_to(cheyenne,northPlatte) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) )
| ~ next_to(cheyenne,northPlatte)
| at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation)))
| ~ at(northPlatte,none,s(s(start)),drive(northPlatte,initial_situation)) ) ),
inference(transitivity,[status(thm)],[33,31]) ).
tff(35,plain,
( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) )
| at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation)))
| ~ at(northPlatte,none,s(s(start)),drive(northPlatte,initial_situation))
| ~ next_to(cheyenne,northPlatte) ),
inference(quant_inst,[status(thm)],]) ).
tff(36,plain,
( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ at(FromCity,Loaves,Time,Situation)
| ~ next_to(ToCity,FromCity) )
| ~ next_to(cheyenne,northPlatte)
| at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation)))
| ~ at(northPlatte,none,s(s(start)),drive(northPlatte,initial_situation)) ),
inference(modus_ponens,[status(thm)],[35,34]) ).
tff(37,plain,
at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation))),
inference(unit_resolution,[status(thm)],[36,30,6,20]) ).
tff(38,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(cheyenne,northPlatte)
| at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))
| ~ at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation))) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(cheyenne,northPlatte)
| at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))
| ~ at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(39,plain,
( ( at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))
| ~ next_to(cheyenne,northPlatte)
| ~ at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation))) )
<=> ( ~ next_to(cheyenne,northPlatte)
| at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))
| ~ at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(40,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))
| ~ next_to(cheyenne,northPlatte)
| ~ at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation))) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(cheyenne,northPlatte)
| at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))
| ~ at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation))) ) ),
inference(monotonicity,[status(thm)],[39]) ).
tff(41,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))
| ~ next_to(cheyenne,northPlatte)
| ~ at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation))) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(cheyenne,northPlatte)
| at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))
| ~ at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation))) ) ),
inference(transitivity,[status(thm)],[40,38]) ).
tff(42,plain,
( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))
| ~ next_to(cheyenne,northPlatte)
| ~ at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation))) ),
inference(quant_inst,[status(thm)],]) ).
tff(43,plain,
( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(cheyenne,northPlatte)
| at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))
| ~ at(cheyenne,none,s(s(s(s(start)))),drive(cheyenne,drive(northPlatte,initial_situation))) ),
inference(modus_ponens,[status(thm)],[42,41]) ).
tff(44,plain,
at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))),
inference(unit_resolution,[status(thm)],[43,16,6,37]) ).
tff(45,plain,
( next_to(northPlatte,grandIsland)
<=> next_to(northPlatte,grandIsland) ),
inference(rewrite,[status(thm)],]) ).
tff(46,axiom,
next_to(northPlatte,grandIsland),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map7) ).
tff(47,plain,
next_to(northPlatte,grandIsland),
inference(modus_ponens,[status(thm)],[46,45]) ).
tff(48,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(northPlatte,grandIsland)
| at(grandIsland,none,s(s(s(s(s(s(s(s(start)))))))),drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))
| ~ at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(northPlatte,grandIsland)
| at(grandIsland,none,s(s(s(s(s(s(s(s(start)))))))),drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))
| ~ at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(49,plain,
( ( at(grandIsland,none,s(s(s(s(s(s(s(s(start)))))))),drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))
| ~ next_to(northPlatte,grandIsland)
| ~ at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))) )
<=> ( ~ next_to(northPlatte,grandIsland)
| at(grandIsland,none,s(s(s(s(s(s(s(s(start)))))))),drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))
| ~ at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(50,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(grandIsland,none,s(s(s(s(s(s(s(s(start)))))))),drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))
| ~ next_to(northPlatte,grandIsland)
| ~ at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(northPlatte,grandIsland)
| at(grandIsland,none,s(s(s(s(s(s(s(s(start)))))))),drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))
| ~ at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))) ) ),
inference(monotonicity,[status(thm)],[49]) ).
tff(51,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(grandIsland,none,s(s(s(s(s(s(s(s(start)))))))),drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))
| ~ next_to(northPlatte,grandIsland)
| ~ at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(northPlatte,grandIsland)
| at(grandIsland,none,s(s(s(s(s(s(s(s(start)))))))),drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))
| ~ at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))) ) ),
inference(transitivity,[status(thm)],[50,48]) ).
tff(52,plain,
( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(grandIsland,none,s(s(s(s(s(s(s(s(start)))))))),drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))
| ~ next_to(northPlatte,grandIsland)
| ~ at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))) ),
inference(quant_inst,[status(thm)],]) ).
tff(53,plain,
( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(northPlatte,grandIsland)
| at(grandIsland,none,s(s(s(s(s(s(s(s(start)))))))),drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))
| ~ at(northPlatte,none,s(s(s(s(s(s(start)))))),drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))) ),
inference(modus_ponens,[status(thm)],[52,51]) ).
tff(54,plain,
at(grandIsland,none,s(s(s(s(s(s(s(s(start)))))))),drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))),
inference(unit_resolution,[status(thm)],[53,16,47,44]) ).
tff(55,plain,
^ [Time: $i,Loaves: $i,Situation: $i,City: $i] :
refl(
( ( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) )
<=> ( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) ) )),
inference(bind,[status(th)],]) ).
tff(56,plain,
( ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) )
<=> ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) ) ),
inference(quant_intro,[status(thm)],[55]) ).
tff(57,plain,
( ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) )
<=> ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(58,axiom,
! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',buy_in_city) ).
tff(59,plain,
! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) ),
inference(modus_ponens,[status(thm)],[58,57]) ).
tff(60,plain,
! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) ),
inference(skolemize,[status(sab)],[59]) ).
tff(61,plain,
! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) ),
inference(modus_ponens,[status(thm)],[60,56]) ).
tff(62,plain,
( ( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) )
| ~ at(grandIsland,none,s(s(s(s(s(s(s(s(start)))))))),drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))
| at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(start))))))))),buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))) )
<=> ( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) )
| ~ at(grandIsland,none,s(s(s(s(s(s(s(s(start)))))))),drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))
| at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(start))))))))),buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(63,plain,
( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) )
| ~ at(grandIsland,none,s(s(s(s(s(s(s(s(start)))))))),drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))
| at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(start))))))))),buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))) ),
inference(quant_inst,[status(thm)],]) ).
tff(64,plain,
( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) )
| ~ at(grandIsland,none,s(s(s(s(s(s(s(s(start)))))))),drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))
| at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(start))))))))),buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))) ),
inference(modus_ponens,[status(thm)],[63,62]) ).
tff(65,plain,
at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(start))))))))),buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))),
inference(unit_resolution,[status(thm)],[64,61,54]) ).
tff(66,plain,
^ [Time: $i,Loaves: $i,Situation: $i,City: $i] :
refl(
( ( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) )
<=> ( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) ) )),
inference(bind,[status(th)],]) ).
tff(67,plain,
( ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) )
<=> ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) ) ),
inference(quant_intro,[status(thm)],[66]) ).
tff(68,plain,
( ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) )
<=> ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(69,axiom,
! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wait_in_city) ).
tff(70,plain,
! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) ),
inference(modus_ponens,[status(thm)],[69,68]) ).
tff(71,plain,
! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) ),
inference(skolemize,[status(sab)],[70]) ).
tff(72,plain,
! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) ),
inference(modus_ponens,[status(thm)],[71,67]) ).
tff(73,plain,
( ( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) )
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(start))))))))),buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))
| at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))) )
<=> ( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) )
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(start))))))))),buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))
| at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(74,plain,
( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) )
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(start))))))))),buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))
| at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))) ),
inference(quant_inst,[status(thm)],]) ).
tff(75,plain,
( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) )
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(start))))))))),buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))
| at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))) ),
inference(modus_ponens,[status(thm)],[74,73]) ).
tff(76,plain,
at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))),
inference(unit_resolution,[status(thm)],[75,72,65]) ).
tff(77,plain,
( next_to(grandIsland,lincoln)
<=> next_to(grandIsland,lincoln) ),
inference(rewrite,[status(thm)],]) ).
tff(78,axiom,
next_to(grandIsland,lincoln),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map8) ).
tff(79,plain,
next_to(grandIsland,lincoln),
inference(modus_ponens,[status(thm)],[78,77]) ).
tff(80,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(grandIsland,lincoln)
| at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(grandIsland,lincoln)
| at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(81,plain,
( ( at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))
| ~ next_to(grandIsland,lincoln)
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))) )
<=> ( ~ next_to(grandIsland,lincoln)
| at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(82,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))
| ~ next_to(grandIsland,lincoln)
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(grandIsland,lincoln)
| at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))) ) ),
inference(monotonicity,[status(thm)],[81]) ).
tff(83,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))
| ~ next_to(grandIsland,lincoln)
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(grandIsland,lincoln)
| at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))) ) ),
inference(transitivity,[status(thm)],[82,80]) ).
tff(84,plain,
( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))
| ~ next_to(grandIsland,lincoln)
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))) ),
inference(quant_inst,[status(thm)],]) ).
tff(85,plain,
( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(grandIsland,lincoln)
| at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))) ),
inference(modus_ponens,[status(thm)],[84,83]) ).
tff(86,plain,
at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))))),
inference(unit_resolution,[status(thm)],[85,16,79,76]) ).
tff(87,plain,
( next_to(lincoln,omaha)
<=> next_to(lincoln,omaha) ),
inference(rewrite,[status(thm)],]) ).
tff(88,axiom,
next_to(lincoln,omaha),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map9) ).
tff(89,plain,
next_to(lincoln,omaha),
inference(modus_ponens,[status(thm)],[88,87]) ).
tff(90,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(lincoln,omaha)
| ~ at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))
| at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(lincoln,omaha)
| ~ at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))
| at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(91,plain,
( ( at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))))))
| ~ next_to(lincoln,omaha)
| ~ at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))))) )
<=> ( ~ next_to(lincoln,omaha)
| ~ at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))
| at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(92,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))))))
| ~ next_to(lincoln,omaha)
| ~ at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))))) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(lincoln,omaha)
| ~ at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))
| at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))) ) ),
inference(monotonicity,[status(thm)],[91]) ).
tff(93,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))))))
| ~ next_to(lincoln,omaha)
| ~ at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))))) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(lincoln,omaha)
| ~ at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))
| at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))) ) ),
inference(transitivity,[status(thm)],[92,90]) ).
tff(94,plain,
( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))))))
| ~ next_to(lincoln,omaha)
| ~ at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))))) ),
inference(quant_inst,[status(thm)],]) ).
tff(95,plain,
( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| ~ next_to(lincoln,omaha)
| ~ at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))
| at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))) ),
inference(modus_ponens,[status(thm)],[94,93]) ).
tff(96,plain,
at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))),
inference(unit_resolution,[status(thm)],[95,16,89,86]) ).
tff(97,plain,
( next_to(omaha,desMoines)
<=> next_to(omaha,desMoines) ),
inference(rewrite,[status(thm)],]) ).
tff(98,axiom,
next_to(omaha,desMoines),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map10) ).
tff(99,plain,
next_to(omaha,desMoines),
inference(modus_ponens,[status(thm)],[98,97]) ).
tff(100,plain,
( ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))))
| ~ next_to(omaha,desMoines)
| ~ at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))) )
<=> ( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))))
| ~ next_to(omaha,desMoines)
| ~ at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(101,plain,
( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))))
| ~ next_to(omaha,desMoines)
| ~ at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))) ),
inference(quant_inst,[status(thm)],]) ).
tff(102,plain,
( ~ ! [Time: $i,ToCity: $i,Loaves: $i,Situation: $i,FromCity: $i] :
( at(ToCity,Loaves,s(s(Time)),drive(ToCity,Situation))
| ~ next_to(FromCity,ToCity)
| ~ at(FromCity,Loaves,Time,Situation) )
| at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))))
| ~ next_to(omaha,desMoines)
| ~ at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation))))))))) ),
inference(modus_ponens,[status(thm)],[101,100]) ).
tff(103,plain,
at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))))))),
inference(unit_resolution,[status(thm)],[102,16,99,96]) ).
tff(104,plain,
^ [Time: $i,Situation: $i] :
refl(
( ~ at(desMoines,s(none),Time,Situation)
<=> ~ at(desMoines,s(none),Time,Situation) )),
inference(bind,[status(th)],]) ).
tff(105,plain,
( ! [Time: $i,Situation: $i] : ~ at(desMoines,s(none),Time,Situation)
<=> ! [Time: $i,Situation: $i] : ~ at(desMoines,s(none),Time,Situation) ),
inference(quant_intro,[status(thm)],[104]) ).
tff(106,plain,
( ! [Time: $i,Situation: $i] : ~ at(desMoines,s(none),Time,Situation)
<=> ! [Time: $i,Situation: $i] : ~ at(desMoines,s(none),Time,Situation) ),
inference(rewrite,[status(thm)],]) ).
tff(107,axiom,
! [Time: $i,Situation: $i] : ~ at(desMoines,s(none),Time,Situation),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_you_gat_get_there_with_bread) ).
tff(108,plain,
! [Time: $i,Situation: $i] : ~ at(desMoines,s(none),Time,Situation),
inference(modus_ponens,[status(thm)],[107,106]) ).
tff(109,plain,
! [Time: $i,Situation: $i] : ~ at(desMoines,s(none),Time,Situation),
inference(skolemize,[status(sab)],[108]) ).
tff(110,plain,
! [Time: $i,Situation: $i] : ~ at(desMoines,s(none),Time,Situation),
inference(modus_ponens,[status(thm)],[109,105]) ).
tff(111,plain,
( ~ ! [Time: $i,Situation: $i] : ~ at(desMoines,s(none),Time,Situation)
| ~ at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(buy(drive(grandIsland,drive(northPlatte,drive(cheyenne,drive(northPlatte,initial_situation)))))))))) ),
inference(quant_inst,[status(thm)],]) ).
tff(112,plain,
$false,
inference(unit_resolution,[status(thm)],[111,110,103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PLA001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Sep 2 17:02:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 38.90/25.20 % SZS status Unsatisfiable
% 38.90/25.20 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------