%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MSC002-2 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 05:17:30 AM UTC 2025
% Result : Unsatisfiable 0.93s 1.09s
% Output : Proof 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 53
% Syntax : Number of formulae : 120 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 526 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 696 ( 315 ~; 325 |; 0 &)
% ( 56 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of FOOLs : 25 ( 25 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 387 ( 351 !; 0 ?; 387 :)
% Comments :
%------------------------------------------------------------------------------
tff(answer_type,type,
answer: $i > $o ).
tff(go_type,type,
go: ( $i * $i ) > $i ).
tff(pick_up_type,type,
pick_up: $i > $i ).
tff(let_go_type,type,
let_go: $i > $i ).
tff(now_type,type,
now: $i ).
tff(here_type,type,
here: $i ).
tff(there_type,type,
there: $i ).
tff(put_type,type,
put: ( $i * $i * $i ) > $o ).
tff(something_type,type,
something: $i ).
tff(at_type,type,
at: ( $i * $i * $i ) > $o ).
tff(held_type,type,
held: ( $i * $i ) > $o ).
tff(grabbed_type,type,
grabbed: ( $i * $i ) > $o ).
tff(red_type,type,
red: $i > $o ).
tff(1,plain,
^ [Thing: $i,Situation: $i,Place: $i] :
refl(( ( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) )
<=> ( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) )
<=> ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) )
<=> ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,axiom,
! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',situation_let_go) ).
tff(5,plain,
! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( at(something,here,now)
<=> at(something,here,now) ),
inference(rewrite,[status(thm)],[]) ).
tff(9,axiom,
at(something,here,now),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_is_here_now) ).
tff(10,plain,
at(something,here,now),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
( ( ~ ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) )
| ~ at(something,here,now)
| at(something,here,let_go(now)) )
<=> ( ~ ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) )
| ~ at(something,here,now)
| at(something,here,let_go(now)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,plain,
( ~ ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) )
| ~ at(something,here,now)
| at(something,here,let_go(now)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(13,plain,
( ~ ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) )
| ~ at(something,here,now)
| at(something,here,let_go(now)) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
at(something,here,let_go(now)),
inference(unit_resolution,[status(thm)],[13,10,7]) ).
tff(15,plain,
( ( ~ ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) )
| ~ at(something,here,let_go(now))
| at(something,here,let_go(let_go(now))) )
<=> ( ~ ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) )
| ~ at(something,here,let_go(now))
| at(something,here,let_go(let_go(now))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(16,plain,
( ~ ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) )
| ~ at(something,here,let_go(now))
| at(something,here,let_go(let_go(now))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(17,plain,
( ~ ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,let_go(Situation)) )
| ~ at(something,here,let_go(now))
| at(something,here,let_go(let_go(now))) ),
inference(modus_ponens,[status(thm)],[16,15]) ).
tff(18,plain,
at(something,here,let_go(let_go(now))),
inference(unit_resolution,[status(thm)],[17,7,14]) ).
tff(19,plain,
^ [Thing: $i,Situation: $i] :
refl(( ~ held(Thing,let_go(Situation))
<=> ~ held(Thing,let_go(Situation)) )),
inference(bind,[status(th)],[]) ).
tff(20,plain,
( ! [Thing: $i,Situation: $i] : ~ held(Thing,let_go(Situation))
<=> ! [Thing: $i,Situation: $i] : ~ held(Thing,let_go(Situation)) ),
inference(quant_intro,[status(thm)],[19]) ).
tff(21,plain,
( ! [Thing: $i,Situation: $i] : ~ held(Thing,let_go(Situation))
<=> ! [Thing: $i,Situation: $i] : ~ held(Thing,let_go(Situation)) ),
inference(rewrite,[status(thm)],[]) ).
tff(22,axiom,
! [Thing: $i,Situation: $i] : ~ held(Thing,let_go(Situation)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cant_hold_and_let_go) ).
tff(23,plain,
! [Thing: $i,Situation: $i] : ~ held(Thing,let_go(Situation)),
inference(modus_ponens,[status(thm)],[22,21]) ).
tff(24,plain,
! [Thing: $i,Situation: $i] : ~ held(Thing,let_go(Situation)),
inference(skolemize,[status(sab)],[23]) ).
tff(25,plain,
! [Thing: $i,Situation: $i] : ~ held(Thing,let_go(Situation)),
inference(modus_ponens,[status(thm)],[24,20]) ).
tff(26,plain,
( ~ ! [Thing: $i,Situation: $i] : ~ held(Thing,let_go(Situation))
| ~ held(something,let_go(let_go(now))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(27,plain,
~ held(something,let_go(let_go(now))),
inference(unit_resolution,[status(thm)],[26,25]) ).
tff(28,plain,
^ [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
refl(( ( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) )
<=> ( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) ) )),
inference(bind,[status(th)],[]) ).
tff(29,plain,
( ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) )
<=> ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) ) ),
inference(quant_intro,[status(thm)],[28]) ).
tff(30,plain,
( ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) )
<=> ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(31,plain,
^ [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
trans(monotonicity(rewrite(( ( held(Thing,Situation)
| ~ at(Thing,Place,Situation) )
<=> ( ~ at(Thing,Place,Situation)
| held(Thing,Situation) ) )),
( ( held(Thing,Situation)
| ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation)) )
<=> ( ~ at(Thing,Place,Situation)
| held(Thing,Situation)
| at(Thing,Place,go(Another_place,Situation)) ) )),
rewrite(( ( ~ at(Thing,Place,Situation)
| held(Thing,Situation)
| at(Thing,Place,go(Another_place,Situation)) )
<=> ( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) ) )),
( ( held(Thing,Situation)
| ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation)) )
<=> ( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) ) )),
inference(bind,[status(th)],[]) ).
tff(32,plain,
( ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( held(Thing,Situation)
| ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation)) )
<=> ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) ) ),
inference(quant_intro,[status(thm)],[31]) ).
tff(33,axiom,
! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( held(Thing,Situation)
| ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thing_either_held_or_went_there) ).
tff(34,plain,
! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) ),
inference(modus_ponens,[status(thm)],[34,30]) ).
tff(36,plain,
! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) ),
inference(skolemize,[status(sab)],[35]) ).
tff(37,plain,
! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) ),
inference(modus_ponens,[status(thm)],[36,29]) ).
tff(38,plain,
( ( ~ ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) )
| held(something,let_go(let_go(now)))
| ~ at(something,here,let_go(let_go(now)))
| at(something,here,go(here,let_go(let_go(now)))) )
<=> ( ~ ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) )
| held(something,let_go(let_go(now)))
| ~ at(something,here,let_go(let_go(now)))
| at(something,here,go(here,let_go(let_go(now)))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(39,plain,
( ( ~ at(something,here,let_go(let_go(now)))
| at(something,here,go(here,let_go(let_go(now))))
| held(something,let_go(let_go(now))) )
<=> ( held(something,let_go(let_go(now)))
| ~ at(something,here,let_go(let_go(now)))
| at(something,here,go(here,let_go(let_go(now)))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(40,plain,
( ( ~ ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) )
| ~ at(something,here,let_go(let_go(now)))
| at(something,here,go(here,let_go(let_go(now))))
| held(something,let_go(let_go(now))) )
<=> ( ~ ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) )
| held(something,let_go(let_go(now)))
| ~ at(something,here,let_go(let_go(now)))
| at(something,here,go(here,let_go(let_go(now)))) ) ),
inference(monotonicity,[status(thm)],[39]) ).
tff(41,plain,
( ( ~ ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) )
| ~ at(something,here,let_go(let_go(now)))
| at(something,here,go(here,let_go(let_go(now))))
| held(something,let_go(let_go(now))) )
<=> ( ~ ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) )
| held(something,let_go(let_go(now)))
| ~ at(something,here,let_go(let_go(now)))
| at(something,here,go(here,let_go(let_go(now)))) ) ),
inference(transitivity,[status(thm)],[40,38]) ).
tff(42,plain,
( ~ ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) )
| ~ at(something,here,let_go(let_go(now)))
| at(something,here,go(here,let_go(let_go(now))))
| held(something,let_go(let_go(now))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(43,plain,
( ~ ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,go(Another_place,Situation))
| held(Thing,Situation) )
| held(something,let_go(let_go(now)))
| ~ at(something,here,let_go(let_go(now)))
| at(something,here,go(here,let_go(let_go(now)))) ),
inference(modus_ponens,[status(thm)],[42,41]) ).
tff(44,plain,
at(something,here,go(here,let_go(let_go(now)))),
inference(unit_resolution,[status(thm)],[43,37,27,18]) ).
tff(45,plain,
^ [Thing: $i,Situation: $i,Place: $i] :
refl(( ( ~ at(Thing,Place,Situation)
| at(Thing,Place,pick_up(Situation)) )
<=> ( ~ at(Thing,Place,Situation)
| at(Thing,Place,pick_up(Situation)) ) )),
inference(bind,[status(th)],[]) ).
tff(46,plain,
( ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,pick_up(Situation)) )
<=> ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,pick_up(Situation)) ) ),
inference(quant_intro,[status(thm)],[45]) ).
tff(47,plain,
( ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,pick_up(Situation)) )
<=> ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,pick_up(Situation)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(48,axiom,
! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,pick_up(Situation)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',situation_pick_up) ).
tff(49,plain,
! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,pick_up(Situation)) ),
inference(modus_ponens,[status(thm)],[48,47]) ).
tff(50,plain,
! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,pick_up(Situation)) ),
inference(skolemize,[status(sab)],[49]) ).
tff(51,plain,
! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,pick_up(Situation)) ),
inference(modus_ponens,[status(thm)],[50,46]) ).
tff(52,plain,
( ( ~ ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,pick_up(Situation)) )
| ~ at(something,here,go(here,let_go(let_go(now))))
| at(something,here,pick_up(go(here,let_go(let_go(now))))) )
<=> ( ~ ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,pick_up(Situation)) )
| ~ at(something,here,go(here,let_go(let_go(now))))
| at(something,here,pick_up(go(here,let_go(let_go(now))))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(53,plain,
( ~ ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,pick_up(Situation)) )
| ~ at(something,here,go(here,let_go(let_go(now))))
| at(something,here,pick_up(go(here,let_go(let_go(now))))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(54,plain,
( ~ ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| at(Thing,Place,pick_up(Situation)) )
| ~ at(something,here,go(here,let_go(let_go(now))))
| at(something,here,pick_up(go(here,let_go(let_go(now))))) ),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
at(something,here,pick_up(go(here,let_go(let_go(now))))),
inference(unit_resolution,[status(thm)],[54,51,44]) ).
tff(56,plain,
^ [Thing: $i,Situation: $i,Place: $i] :
refl(( ( ~ at(Thing,Place,Situation)
| grabbed(Thing,pick_up(go(Place,let_go(Situation)))) )
<=> ( ~ at(Thing,Place,Situation)
| grabbed(Thing,pick_up(go(Place,let_go(Situation)))) ) )),
inference(bind,[status(th)],[]) ).
tff(57,plain,
( ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| grabbed(Thing,pick_up(go(Place,let_go(Situation)))) )
<=> ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| grabbed(Thing,pick_up(go(Place,let_go(Situation)))) ) ),
inference(quant_intro,[status(thm)],[56]) ).
tff(58,plain,
( ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| grabbed(Thing,pick_up(go(Place,let_go(Situation)))) )
<=> ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| grabbed(Thing,pick_up(go(Place,let_go(Situation)))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(59,axiom,
! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| grabbed(Thing,pick_up(go(Place,let_go(Situation)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',can_grab_if_previously_let_go) ).
tff(60,plain,
! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| grabbed(Thing,pick_up(go(Place,let_go(Situation)))) ),
inference(modus_ponens,[status(thm)],[59,58]) ).
tff(61,plain,
! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| grabbed(Thing,pick_up(go(Place,let_go(Situation)))) ),
inference(skolemize,[status(sab)],[60]) ).
tff(62,plain,
! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| grabbed(Thing,pick_up(go(Place,let_go(Situation)))) ),
inference(modus_ponens,[status(thm)],[61,57]) ).
tff(63,plain,
( ( ~ ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| grabbed(Thing,pick_up(go(Place,let_go(Situation)))) )
| ~ at(something,here,let_go(now))
| grabbed(something,pick_up(go(here,let_go(let_go(now))))) )
<=> ( ~ ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| grabbed(Thing,pick_up(go(Place,let_go(Situation)))) )
| ~ at(something,here,let_go(now))
| grabbed(something,pick_up(go(here,let_go(let_go(now))))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(64,plain,
( ~ ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| grabbed(Thing,pick_up(go(Place,let_go(Situation)))) )
| ~ at(something,here,let_go(now))
| grabbed(something,pick_up(go(here,let_go(let_go(now))))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(65,plain,
( ~ ! [Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| grabbed(Thing,pick_up(go(Place,let_go(Situation)))) )
| ~ at(something,here,let_go(now))
| grabbed(something,pick_up(go(here,let_go(let_go(now))))) ),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
grabbed(something,pick_up(go(here,let_go(let_go(now))))),
inference(unit_resolution,[status(thm)],[65,62,14]) ).
tff(67,plain,
^ [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
refl(( ( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) )
<=> ( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) ) )),
inference(bind,[status(th)],[]) ).
tff(68,plain,
( ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) )
<=> ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) ) ),
inference(quant_intro,[status(thm)],[67]) ).
tff(69,plain,
( ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) )
<=> ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(70,plain,
^ [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
trans(monotonicity(rewrite(( ( ~ at(Thing,Place,Situation)
| ~ grabbed(Thing,Situation) )
<=> ( ~ at(Thing,Place,Situation)
| ~ grabbed(Thing,Situation) ) )),
( ( ~ at(Thing,Place,Situation)
| ~ grabbed(Thing,Situation)
| put(Thing,Another_place,go(Another_place,Situation)) )
<=> ( ~ at(Thing,Place,Situation)
| ~ grabbed(Thing,Situation)
| put(Thing,Another_place,go(Another_place,Situation)) ) )),
rewrite(( ( ~ at(Thing,Place,Situation)
| ~ grabbed(Thing,Situation)
| put(Thing,Another_place,go(Another_place,Situation)) )
<=> ( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) ) )),
( ( ~ at(Thing,Place,Situation)
| ~ grabbed(Thing,Situation)
| put(Thing,Another_place,go(Another_place,Situation)) )
<=> ( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) ) )),
inference(bind,[status(th)],[]) ).
tff(71,plain,
( ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| ~ grabbed(Thing,Situation)
| put(Thing,Another_place,go(Another_place,Situation)) )
<=> ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) ) ),
inference(quant_intro,[status(thm)],[70]) ).
tff(72,axiom,
! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| ~ grabbed(Thing,Situation)
| put(Thing,Another_place,go(Another_place,Situation)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',can_put_somewhere_if_grab_and_go_there) ).
tff(73,plain,
! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) ),
inference(modus_ponens,[status(thm)],[72,71]) ).
tff(74,plain,
! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) ),
inference(modus_ponens,[status(thm)],[73,69]) ).
tff(75,plain,
! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) ),
inference(skolemize,[status(sab)],[74]) ).
tff(76,plain,
! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) ),
inference(modus_ponens,[status(thm)],[75,68]) ).
tff(77,plain,
( ( ~ ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) )
| ~ at(something,here,pick_up(go(here,let_go(let_go(now)))))
| put(something,there,go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ grabbed(something,pick_up(go(here,let_go(let_go(now))))) )
<=> ( ~ ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) )
| ~ at(something,here,pick_up(go(here,let_go(let_go(now)))))
| put(something,there,go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ grabbed(something,pick_up(go(here,let_go(let_go(now))))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(78,plain,
( ~ ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) )
| ~ at(something,here,pick_up(go(here,let_go(let_go(now)))))
| put(something,there,go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ grabbed(something,pick_up(go(here,let_go(let_go(now))))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(79,plain,
( ~ ! [Another_place: $i,Thing: $i,Situation: $i,Place: $i] :
( ~ at(Thing,Place,Situation)
| put(Thing,Another_place,go(Another_place,Situation))
| ~ grabbed(Thing,Situation) )
| ~ at(something,here,pick_up(go(here,let_go(let_go(now)))))
| put(something,there,go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ grabbed(something,pick_up(go(here,let_go(let_go(now))))) ),
inference(modus_ponens,[status(thm)],[78,77]) ).
tff(80,plain,
put(something,there,go(there,pick_up(go(here,let_go(let_go(now)))))),
inference(unit_resolution,[status(thm)],[79,76,66,55]) ).
tff(81,plain,
^ [Thing: $i,Situation: $i] :
refl(( ( red(Thing)
| ~ at(Thing,here,Situation) )
<=> ( red(Thing)
| ~ at(Thing,here,Situation) ) )),
inference(bind,[status(th)],[]) ).
tff(82,plain,
( ! [Thing: $i,Situation: $i] :
( red(Thing)
| ~ at(Thing,here,Situation) )
<=> ! [Thing: $i,Situation: $i] :
( red(Thing)
| ~ at(Thing,here,Situation) ) ),
inference(quant_intro,[status(thm)],[81]) ).
tff(83,plain,
( ! [Thing: $i,Situation: $i] :
( red(Thing)
| ~ at(Thing,here,Situation) )
<=> ! [Thing: $i,Situation: $i] :
( red(Thing)
| ~ at(Thing,here,Situation) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(84,plain,
^ [Thing: $i,Situation: $i] :
rewrite(( ( ~ at(Thing,here,Situation)
| red(Thing) )
<=> ( red(Thing)
| ~ at(Thing,here,Situation) ) )),
inference(bind,[status(th)],[]) ).
tff(85,plain,
( ! [Thing: $i,Situation: $i] :
( ~ at(Thing,here,Situation)
| red(Thing) )
<=> ! [Thing: $i,Situation: $i] :
( red(Thing)
| ~ at(Thing,here,Situation) ) ),
inference(quant_intro,[status(thm)],[84]) ).
tff(86,axiom,
! [Thing: $i,Situation: $i] :
( ~ at(Thing,here,Situation)
| red(Thing) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',everything_is_red) ).
tff(87,plain,
! [Thing: $i,Situation: $i] :
( red(Thing)
| ~ at(Thing,here,Situation) ),
inference(modus_ponens,[status(thm)],[86,85]) ).
tff(88,plain,
! [Thing: $i,Situation: $i] :
( red(Thing)
| ~ at(Thing,here,Situation) ),
inference(modus_ponens,[status(thm)],[87,83]) ).
tff(89,plain,
! [Thing: $i,Situation: $i] :
( red(Thing)
| ~ at(Thing,here,Situation) ),
inference(skolemize,[status(sab)],[88]) ).
tff(90,plain,
! [Thing: $i,Situation: $i] :
( red(Thing)
| ~ at(Thing,here,Situation) ),
inference(modus_ponens,[status(thm)],[89,82]) ).
tff(91,plain,
( ( ~ ! [Thing: $i,Situation: $i] :
( red(Thing)
| ~ at(Thing,here,Situation) )
| red(something)
| ~ at(something,here,now) )
<=> ( ~ ! [Thing: $i,Situation: $i] :
( red(Thing)
| ~ at(Thing,here,Situation) )
| red(something)
| ~ at(something,here,now) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(92,plain,
( ~ ! [Thing: $i,Situation: $i] :
( red(Thing)
| ~ at(Thing,here,Situation) )
| red(something)
| ~ at(something,here,now) ),
inference(quant_inst,[status(thm)],[]) ).
tff(93,plain,
( ~ ! [Thing: $i,Situation: $i] :
( red(Thing)
| ~ at(Thing,here,Situation) )
| red(something)
| ~ at(something,here,now) ),
inference(modus_ponens,[status(thm)],[92,91]) ).
tff(94,plain,
red(something),
inference(unit_resolution,[status(thm)],[93,10,90]) ).
tff(95,plain,
^ [Thing: $i,Situation: $i] :
refl(( ( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) )
<=> ( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) ) )),
inference(bind,[status(th)],[]) ).
tff(96,plain,
( ! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) )
<=> ! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) ) ),
inference(quant_intro,[status(thm)],[95]) ).
tff(97,plain,
( ! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) )
<=> ! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(98,plain,
^ [Thing: $i,Situation: $i] :
rewrite(( ( ~ red(Thing)
| ~ put(Thing,there,Situation)
| answer(Situation) )
<=> ( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) ) )),
inference(bind,[status(th)],[]) ).
tff(99,plain,
( ! [Thing: $i,Situation: $i] :
( ~ red(Thing)
| ~ put(Thing,there,Situation)
| answer(Situation) )
<=> ! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) ) ),
inference(quant_intro,[status(thm)],[98]) ).
tff(100,axiom,
! [Thing: $i,Situation: $i] :
( ~ red(Thing)
| ~ put(Thing,there,Situation)
| answer(Situation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',answer_if_red_and_put_there) ).
tff(101,plain,
! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) ),
inference(modus_ponens,[status(thm)],[100,99]) ).
tff(102,plain,
! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) ),
inference(modus_ponens,[status(thm)],[101,97]) ).
tff(103,plain,
! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) ),
inference(skolemize,[status(sab)],[102]) ).
tff(104,plain,
! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) ),
inference(modus_ponens,[status(thm)],[103,96]) ).
tff(105,plain,
( ( ~ ! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) )
| ~ red(something)
| answer(go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ put(something,there,go(there,pick_up(go(here,let_go(let_go(now)))))) )
<=> ( ~ ! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) )
| ~ red(something)
| answer(go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ put(something,there,go(there,pick_up(go(here,let_go(let_go(now)))))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(106,plain,
( ( answer(go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ put(something,there,go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ red(something) )
<=> ( ~ red(something)
| answer(go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ put(something,there,go(there,pick_up(go(here,let_go(let_go(now)))))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(107,plain,
( ( ~ ! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) )
| answer(go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ put(something,there,go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ red(something) )
<=> ( ~ ! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) )
| ~ red(something)
| answer(go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ put(something,there,go(there,pick_up(go(here,let_go(let_go(now)))))) ) ),
inference(monotonicity,[status(thm)],[106]) ).
tff(108,plain,
( ( ~ ! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) )
| answer(go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ put(something,there,go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ red(something) )
<=> ( ~ ! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) )
| ~ red(something)
| answer(go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ put(something,there,go(there,pick_up(go(here,let_go(let_go(now)))))) ) ),
inference(transitivity,[status(thm)],[107,105]) ).
tff(109,plain,
( ~ ! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) )
| answer(go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ put(something,there,go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ red(something) ),
inference(quant_inst,[status(thm)],[]) ).
tff(110,plain,
( ~ ! [Thing: $i,Situation: $i] :
( answer(Situation)
| ~ put(Thing,there,Situation)
| ~ red(Thing) )
| ~ red(something)
| answer(go(there,pick_up(go(here,let_go(let_go(now))))))
| ~ put(something,there,go(there,pick_up(go(here,let_go(let_go(now)))))) ),
inference(modus_ponens,[status(thm)],[109,108]) ).
tff(111,plain,
answer(go(there,pick_up(go(here,let_go(let_go(now)))))),
inference(unit_resolution,[status(thm)],[110,104,94,80]) ).
tff(112,plain,
^ [Situation: $i] :
refl(( ~ answer(Situation)
<=> ~ answer(Situation) )),
inference(bind,[status(th)],[]) ).
tff(113,plain,
( ! [Situation: $i] : ~ answer(Situation)
<=> ! [Situation: $i] : ~ answer(Situation) ),
inference(quant_intro,[status(thm)],[112]) ).
tff(114,plain,
( ! [Situation: $i] : ~ answer(Situation)
<=> ! [Situation: $i] : ~ answer(Situation) ),
inference(rewrite,[status(thm)],[]) ).
tff(115,axiom,
! [Situation: $i] : ~ answer(Situation),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_an_answer_situation) ).
tff(116,plain,
! [Situation: $i] : ~ answer(Situation),
inference(modus_ponens,[status(thm)],[115,114]) ).
tff(117,plain,
! [Situation: $i] : ~ answer(Situation),
inference(skolemize,[status(sab)],[116]) ).
tff(118,plain,
! [Situation: $i] : ~ answer(Situation),
inference(modus_ponens,[status(thm)],[117,113]) ).
tff(119,plain,
( ~ ! [Situation: $i] : ~ answer(Situation)
| ~ answer(go(there,pick_up(go(here,let_go(let_go(now)))))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(120,plain,
$false,
inference(unit_resolution,[status(thm)],[119,118,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MSC002-2 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 23:37:19 EDT 2025
% 0.19/0.34 % CPUTime :
% 0.93/1.09 % SZS status Unsatisfiable
% 0.93/1.09 % SZS output start Proof
% See solution above
% 0.93/1.10 % E exiting
%------------------------------------------------------------------------------