%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PLA001-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:22:49 AM UTC 2025
% Result : Unsatisfiable 13.06s 13.26s
% Output : Proof 13.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 49
% Syntax : Number of formulae : 102 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 489 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 719 ( 343 ~; 329 |; 0 &)
% ( 47 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of FOOLs : 11 ( 11 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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 : 421 ( 401 !; 0 ?; 421 :)
% 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(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(cheyenne_type,type,
cheyenne: $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,
^ [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(5,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)],[4]) ).
tff(6,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(7,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(8,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)],[7,6]) ).
tff(9,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)],[8]) ).
tff(10,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)],[9,5]) ).
tff(11,plain,
( ( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) )
| ~ at(cheyenne,none,start,initial_situation)
| at(cheyenne,s(none),s(start),buy(initial_situation)) )
<=> ( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) )
| ~ at(cheyenne,none,start,initial_situation)
| at(cheyenne,s(none),s(start),buy(initial_situation)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,plain,
( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) )
| ~ at(cheyenne,none,start,initial_situation)
| at(cheyenne,s(none),s(start),buy(initial_situation)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(13,plain,
( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,s(Loaves),s(Time),buy(Situation)) )
| ~ at(cheyenne,none,start,initial_situation)
| at(cheyenne,s(none),s(start),buy(initial_situation)) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
at(cheyenne,s(none),s(start),buy(initial_situation)),
inference(unit_resolution,[status(thm)],[13,10,3]) ).
tff(15,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(16,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)],[15]) ).
tff(17,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(18,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(19,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)],[18,17]) ).
tff(20,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)],[19]) ).
tff(21,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)],[20,16]) ).
tff(22,plain,
( ( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) )
| ~ at(cheyenne,s(none),s(start),buy(initial_situation))
| at(cheyenne,s(none),s(s(start)),wait_at(buy(initial_situation))) )
<=> ( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) )
| ~ at(cheyenne,s(none),s(start),buy(initial_situation))
| at(cheyenne,s(none),s(s(start)),wait_at(buy(initial_situation))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(23,plain,
( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) )
| ~ at(cheyenne,s(none),s(start),buy(initial_situation))
| at(cheyenne,s(none),s(s(start)),wait_at(buy(initial_situation))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(24,plain,
( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) )
| ~ at(cheyenne,s(none),s(start),buy(initial_situation))
| at(cheyenne,s(none),s(s(start)),wait_at(buy(initial_situation))) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
at(cheyenne,s(none),s(s(start)),wait_at(buy(initial_situation))),
inference(unit_resolution,[status(thm)],[24,21,14]) ).
tff(26,plain,
( ( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) )
| ~ at(cheyenne,s(none),s(s(start)),wait_at(buy(initial_situation)))
| at(cheyenne,s(none),s(s(s(start))),wait_at(wait_at(buy(initial_situation)))) )
<=> ( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) )
| ~ at(cheyenne,s(none),s(s(start)),wait_at(buy(initial_situation)))
| at(cheyenne,s(none),s(s(s(start))),wait_at(wait_at(buy(initial_situation)))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,plain,
( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) )
| ~ at(cheyenne,s(none),s(s(start)),wait_at(buy(initial_situation)))
| at(cheyenne,s(none),s(s(s(start))),wait_at(wait_at(buy(initial_situation)))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(28,plain,
( ~ ! [Time: $i,Loaves: $i,Situation: $i,City: $i] :
( ~ at(City,Loaves,Time,Situation)
| at(City,Loaves,s(Time),wait_at(Situation)) )
| ~ at(cheyenne,s(none),s(s(start)),wait_at(buy(initial_situation)))
| at(cheyenne,s(none),s(s(s(start))),wait_at(wait_at(buy(initial_situation)))) ),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
at(cheyenne,s(none),s(s(s(start))),wait_at(wait_at(buy(initial_situation)))),
inference(unit_resolution,[status(thm)],[28,21,25]) ).
tff(30,plain,
( next_to(cheyenne,northPlatte)
<=> next_to(cheyenne,northPlatte) ),
inference(rewrite,[status(thm)],[]) ).
tff(31,axiom,
next_to(cheyenne,northPlatte),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map6) ).
tff(32,plain,
next_to(cheyenne,northPlatte),
inference(modus_ponens,[status(thm)],[31,30]) ).
tff(33,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(34,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)],[33]) ).
tff(35,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(36,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(37,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)],[36]) ).
tff(38,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(39,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)],[38,37]) ).
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) ),
inference(modus_ponens,[status(thm)],[39,35]) ).
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) ),
inference(skolemize,[status(sab)],[40]) ).
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) ),
inference(modus_ponens,[status(thm)],[41,34]) ).
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,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))
| ~ at(cheyenne,s(none),s(s(s(start))),wait_at(wait_at(buy(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,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))
| ~ at(cheyenne,s(none),s(s(s(start))),wait_at(wait_at(buy(initial_situation)))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(44,plain,
( ( at(northPlatte,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))
| ~ next_to(cheyenne,northPlatte)
| ~ at(cheyenne,s(none),s(s(s(start))),wait_at(wait_at(buy(initial_situation)))) )
<=> ( ~ next_to(cheyenne,northPlatte)
| at(northPlatte,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))
| ~ at(cheyenne,s(none),s(s(s(start))),wait_at(wait_at(buy(initial_situation)))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(45,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,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))
| ~ next_to(cheyenne,northPlatte)
| ~ at(cheyenne,s(none),s(s(s(start))),wait_at(wait_at(buy(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,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))
| ~ at(cheyenne,s(none),s(s(s(start))),wait_at(wait_at(buy(initial_situation)))) ) ),
inference(monotonicity,[status(thm)],[44]) ).
tff(46,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,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))
| ~ next_to(cheyenne,northPlatte)
| ~ at(cheyenne,s(none),s(s(s(start))),wait_at(wait_at(buy(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,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))
| ~ at(cheyenne,s(none),s(s(s(start))),wait_at(wait_at(buy(initial_situation)))) ) ),
inference(transitivity,[status(thm)],[45,43]) ).
tff(47,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,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))
| ~ next_to(cheyenne,northPlatte)
| ~ at(cheyenne,s(none),s(s(s(start))),wait_at(wait_at(buy(initial_situation)))) ),
inference(quant_inst,[status(thm)],[]) ).
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(cheyenne,northPlatte)
| at(northPlatte,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))
| ~ at(cheyenne,s(none),s(s(s(start))),wait_at(wait_at(buy(initial_situation)))) ),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
at(northPlatte,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation))))),
inference(unit_resolution,[status(thm)],[48,42,32,29]) ).
tff(50,plain,
( next_to(northPlatte,grandIsland)
<=> next_to(northPlatte,grandIsland) ),
inference(rewrite,[status(thm)],[]) ).
tff(51,axiom,
next_to(northPlatte,grandIsland),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map7) ).
tff(52,plain,
next_to(northPlatte,grandIsland),
inference(modus_ponens,[status(thm)],[51,50]) ).
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) )
| at(grandIsland,s(none),s(s(s(s(s(s(s(start))))))),drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))
| ~ at(northPlatte,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))
| ~ next_to(northPlatte,grandIsland) )
<=> ( ~ ! [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,s(none),s(s(s(s(s(s(s(start))))))),drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))
| ~ at(northPlatte,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))
| ~ next_to(northPlatte,grandIsland) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(54,plain,
( ( at(grandIsland,s(none),s(s(s(s(s(s(s(start))))))),drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))
| ~ next_to(northPlatte,grandIsland)
| ~ at(northPlatte,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation))))) )
<=> ( at(grandIsland,s(none),s(s(s(s(s(s(s(start))))))),drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))
| ~ at(northPlatte,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))
| ~ next_to(northPlatte,grandIsland) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(55,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,s(none),s(s(s(s(s(s(s(start))))))),drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))
| ~ next_to(northPlatte,grandIsland)
| ~ at(northPlatte,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(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(grandIsland,s(none),s(s(s(s(s(s(s(start))))))),drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))
| ~ at(northPlatte,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))
| ~ next_to(northPlatte,grandIsland) ) ),
inference(monotonicity,[status(thm)],[54]) ).
tff(56,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,s(none),s(s(s(s(s(s(s(start))))))),drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))
| ~ next_to(northPlatte,grandIsland)
| ~ at(northPlatte,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(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(grandIsland,s(none),s(s(s(s(s(s(s(start))))))),drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))
| ~ at(northPlatte,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))
| ~ next_to(northPlatte,grandIsland) ) ),
inference(transitivity,[status(thm)],[55,53]) ).
tff(57,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,s(none),s(s(s(s(s(s(s(start))))))),drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))
| ~ next_to(northPlatte,grandIsland)
| ~ at(northPlatte,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation))))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(58,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,s(none),s(s(s(s(s(s(s(start))))))),drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))
| ~ at(northPlatte,s(none),s(s(s(s(s(start))))),drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))
| ~ next_to(northPlatte,grandIsland) ),
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
at(grandIsland,s(none),s(s(s(s(s(s(s(start))))))),drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))),
inference(unit_resolution,[status(thm)],[58,42,52,49]) ).
tff(60,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(start))))))),drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))
| at(grandIsland,s(none),s(s(s(s(s(s(s(s(start)))))))),wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(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(start))))))),drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))
| at(grandIsland,s(none),s(s(s(s(s(s(s(s(start)))))))),wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(61,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(start))))))),drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))
| at(grandIsland,s(none),s(s(s(s(s(s(s(s(start)))))))),wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(62,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(start))))))),drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))
| at(grandIsland,s(none),s(s(s(s(s(s(s(s(start)))))))),wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))) ),
inference(modus_ponens,[status(thm)],[61,60]) ).
tff(63,plain,
at(grandIsland,s(none),s(s(s(s(s(s(s(s(start)))))))),wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))),
inference(unit_resolution,[status(thm)],[62,21,59]) ).
tff(64,plain,
( next_to(grandIsland,lincoln)
<=> next_to(grandIsland,lincoln) ),
inference(rewrite,[status(thm)],[]) ).
tff(65,axiom,
next_to(grandIsland,lincoln),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map8) ).
tff(66,plain,
next_to(grandIsland,lincoln),
inference(modus_ponens,[status(thm)],[65,64]) ).
tff(67,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(grandIsland,s(none),s(s(s(s(s(s(s(s(start)))))))),wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))
| at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(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(grandIsland,s(none),s(s(s(s(s(s(s(s(start)))))))),wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))
| at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(68,plain,
( ( at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))
| ~ next_to(grandIsland,lincoln)
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(start)))))))),wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))) )
<=> ( ~ next_to(grandIsland,lincoln)
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(start)))))))),wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))
| at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(69,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(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))
| ~ next_to(grandIsland,lincoln)
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(start)))))))),wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(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(grandIsland,s(none),s(s(s(s(s(s(s(s(start)))))))),wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))
| at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))) ) ),
inference(monotonicity,[status(thm)],[68]) ).
tff(70,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(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))
| ~ next_to(grandIsland,lincoln)
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(start)))))))),wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(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(grandIsland,s(none),s(s(s(s(s(s(s(s(start)))))))),wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))
| at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))) ) ),
inference(transitivity,[status(thm)],[69,67]) ).
tff(71,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(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))
| ~ next_to(grandIsland,lincoln)
| ~ at(grandIsland,s(none),s(s(s(s(s(s(s(s(start)))))))),wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(72,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(grandIsland,s(none),s(s(s(s(s(s(s(s(start)))))))),wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))
| at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))) ),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))),
inference(unit_resolution,[status(thm)],[72,42,66,63]) ).
tff(74,plain,
( next_to(lincoln,omaha)
<=> next_to(lincoln,omaha) ),
inference(rewrite,[status(thm)],[]) ).
tff(75,axiom,
next_to(lincoln,omaha),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map9) ).
tff(76,plain,
next_to(lincoln,omaha),
inference(modus_ponens,[status(thm)],[75,74]) ).
tff(77,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(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))
| at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(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(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))
| at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(78,plain,
( ( at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))
| ~ next_to(lincoln,omaha)
| ~ at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))) )
<=> ( ~ next_to(lincoln,omaha)
| ~ at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))
| at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(79,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(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))
| ~ next_to(lincoln,omaha)
| ~ at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(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(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))
| at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))) ) ),
inference(monotonicity,[status(thm)],[78]) ).
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) )
| at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))
| ~ next_to(lincoln,omaha)
| ~ at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(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(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))
| at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))) ) ),
inference(transitivity,[status(thm)],[79,77]) ).
tff(81,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(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))
| ~ next_to(lincoln,omaha)
| ~ at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))) ),
inference(quant_inst,[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) )
| ~ next_to(lincoln,omaha)
| ~ at(lincoln,s(none),s(s(s(s(s(s(s(s(s(s(start)))))))))),drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))
| at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))) ),
inference(modus_ponens,[status(thm)],[81,80]) ).
tff(83,plain,
at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))),
inference(unit_resolution,[status(thm)],[82,42,76,73]) ).
tff(84,plain,
( next_to(omaha,desMoines)
<=> next_to(omaha,desMoines) ),
inference(rewrite,[status(thm)],[]) ).
tff(85,axiom,
next_to(omaha,desMoines),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map10) ).
tff(86,plain,
next_to(omaha,desMoines),
inference(modus_ponens,[status(thm)],[85,84]) ).
tff(87,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(omaha,desMoines)
| ~ at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))
| at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(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(omaha,desMoines)
| ~ at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))
| at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(88,plain,
( ( at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))))
| ~ next_to(omaha,desMoines)
| ~ at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))) )
<=> ( ~ next_to(omaha,desMoines)
| ~ at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))
| at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(89,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(start)))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))))
| ~ next_to(omaha,desMoines)
| ~ at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(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(omaha,desMoines)
| ~ at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))
| at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))) ) ),
inference(monotonicity,[status(thm)],[88]) ).
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) )
| at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))))
| ~ next_to(omaha,desMoines)
| ~ at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(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(omaha,desMoines)
| ~ at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))
| at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))) ) ),
inference(transitivity,[status(thm)],[89,87]) ).
tff(91,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(start)))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))))
| ~ next_to(omaha,desMoines)
| ~ at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation))))))))) ),
inference(quant_inst,[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) )
| ~ next_to(omaha,desMoines)
| ~ at(omaha,s(none),s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))),drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))
| at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))) ),
inference(modus_ponens,[status(thm)],[91,90]) ).
tff(93,plain,
at(desMoines,s(none),s(s(s(s(s(s(s(s(s(s(s(s(s(s(start)))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))),
inference(unit_resolution,[status(thm)],[92,42,86,83]) ).
tff(94,plain,
^ [Time: $i,Situation: $i] :
refl(( ~ at(desMoines,s(none),Time,Situation)
<=> ~ at(desMoines,s(none),Time,Situation) )),
inference(bind,[status(th)],[]) ).
tff(95,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)],[94]) ).
tff(96,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(97,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(98,plain,
! [Time: $i,Situation: $i] : ~ at(desMoines,s(none),Time,Situation),
inference(modus_ponens,[status(thm)],[97,96]) ).
tff(99,plain,
! [Time: $i,Situation: $i] : ~ at(desMoines,s(none),Time,Situation),
inference(skolemize,[status(sab)],[98]) ).
tff(100,plain,
! [Time: $i,Situation: $i] : ~ at(desMoines,s(none),Time,Situation),
inference(modus_ponens,[status(thm)],[99,95]) ).
tff(101,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(start)))))))))))))),drive(desMoines,drive(omaha,drive(lincoln,wait_at(drive(grandIsland,drive(northPlatte,wait_at(wait_at(buy(initial_situation)))))))))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(102,plain,
$false,
inference(unit_resolution,[status(thm)],[101,100,93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PLA001-1 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n016.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 Jun 20 02:19:47 EDT 2025
% 0.13/0.34 % CPUTime :
% 13.06/13.26 % SZS status Unsatisfiable
% 13.06/13.26 % SZS output start Proof
% See solution above
% 13.06/13.28 % E exiting
%------------------------------------------------------------------------------