TSTP Solution File: MSC002-2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MSC002-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n021.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 05:33:59 EDT 2022
% Result : Unsatisfiable 17.79s 11.75s
% Output : Proof 17.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MSC002-2 : 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 : n021.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 02:55:28 EDT 2022
% 0.13/0.34 % 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.
% 17.79/11.75 % SZS status Unsatisfiable
% 17.79/11.75 % SZS output start Proof
% 17.79/11.75 tff(answer_type, type, (
% 17.79/11.75 answer: $i > $o)).
% 17.79/11.75 tff(go_type, type, (
% 17.79/11.75 go: ( $i * $i ) > $i)).
% 17.79/11.75 tff(pick_up_type, type, (
% 17.79/11.75 pick_up: $i > $i)).
% 17.79/11.75 tff(let_go_type, type, (
% 17.79/11.75 let_go: $i > $i)).
% 17.79/11.75 tff(now_type, type, (
% 17.79/11.75 now: $i)).
% 17.79/11.75 tff(here_type, type, (
% 17.79/11.75 here: $i)).
% 17.79/11.75 tff(there_type, type, (
% 17.79/11.75 there: $i)).
% 17.79/11.75 tff(put_type, type, (
% 17.79/11.75 put: ( $i * $i * $i ) > $o)).
% 17.79/11.75 tff(something_type, type, (
% 17.79/11.75 something: $i)).
% 17.79/11.75 tff(at_type, type, (
% 17.79/11.75 at: ( $i * $i * $i ) > $o)).
% 17.79/11.75 tff(held_type, type, (
% 17.79/11.75 held: ( $i * $i ) > $o)).
% 17.79/11.75 tff(grabbed_type, type, (
% 17.79/11.75 grabbed: ( $i * $i ) > $o)).
% 17.79/11.75 tff(red_type, type, (
% 17.79/11.75 red: $i > $o)).
% 17.79/11.75 tff(1,assumption,(held(something, let_go(pick_up(let_go(now))))), introduced(assumption)).
% 17.79/11.75 tff(2,plain,
% 17.79/11.75 (^[Thing: $i, Situation: $i] : refl((~held(Thing, let_go(Situation))) <=> (~held(Thing, let_go(Situation))))),
% 17.79/11.75 inference(bind,[status(th)],[])).
% 17.79/11.75 tff(3,plain,
% 17.79/11.75 (![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation))) <=> ![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))),
% 17.79/11.75 inference(quant_intro,[status(thm)],[2])).
% 17.79/11.75 tff(4,plain,
% 17.79/11.75 (![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation))) <=> ![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))),
% 17.79/11.75 inference(rewrite,[status(thm)],[])).
% 17.79/11.75 tff(5,axiom,(![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cant_hold_and_let_go')).
% 17.79/11.75 tff(6,plain,
% 17.79/11.75 (![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))),
% 17.79/11.75 inference(modus_ponens,[status(thm)],[5, 4])).
% 17.79/11.75 tff(7,plain,(
% 17.79/11.75 ![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))),
% 17.79/11.75 inference(skolemize,[status(sab)],[6])).
% 17.79/11.75 tff(8,plain,
% 17.79/11.75 (![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))),
% 17.79/11.75 inference(modus_ponens,[status(thm)],[7, 3])).
% 17.79/11.75 tff(9,plain,
% 17.79/11.75 ((~![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))) | (~held(something, let_go(pick_up(let_go(now)))))),
% 17.79/11.75 inference(quant_inst,[status(thm)],[])).
% 17.79/11.75 tff(10,plain,
% 17.79/11.75 ($false),
% 17.79/11.75 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 17.79/11.75 tff(11,plain,(~held(something, let_go(pick_up(let_go(now))))), inference(lemma,lemma(discharge,[]))).
% 17.79/11.75 tff(12,plain,
% 17.79/11.75 (^[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))))),
% 17.79/11.75 inference(bind,[status(th)],[])).
% 17.79/11.75 tff(13,plain,
% 17.79/11.75 (![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)))),
% 17.79/11.75 inference(quant_intro,[status(thm)],[12])).
% 17.79/11.75 tff(14,plain,
% 17.79/11.75 (![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)))),
% 17.79/11.75 inference(rewrite,[status(thm)],[])).
% 17.79/11.75 tff(15,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')).
% 17.79/11.75 tff(16,plain,
% 17.79/11.75 (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, let_go(Situation)))),
% 17.79/11.75 inference(modus_ponens,[status(thm)],[15, 14])).
% 17.79/11.75 tff(17,plain,(
% 17.79/11.75 ![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, let_go(Situation)))),
% 17.79/11.75 inference(skolemize,[status(sab)],[16])).
% 17.79/11.75 tff(18,plain,
% 17.79/11.75 (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, let_go(Situation)))),
% 17.79/11.75 inference(modus_ponens,[status(thm)],[17, 13])).
% 17.79/11.75 tff(19,plain,
% 17.79/11.75 (at(something, here, now) <=> at(something, here, now)),
% 17.79/11.75 inference(rewrite,[status(thm)],[])).
% 17.79/11.75 tff(20,axiom,(at(something, here, now)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','something_is_here_now')).
% 17.79/11.75 tff(21,plain,
% 17.79/11.75 (at(something, here, now)),
% 17.79/11.75 inference(modus_ponens,[status(thm)],[20, 19])).
% 17.79/11.75 tff(22,plain,
% 17.79/11.75 (((~![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)))),
% 17.79/11.75 inference(rewrite,[status(thm)],[])).
% 17.79/11.75 tff(23,plain,
% 17.79/11.75 ((~![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)))),
% 17.79/11.75 inference(quant_inst,[status(thm)],[])).
% 17.79/11.75 tff(24,plain,
% 17.79/11.75 ((~![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))),
% 17.79/11.75 inference(modus_ponens,[status(thm)],[23, 22])).
% 17.79/11.75 tff(25,plain,
% 17.79/11.75 (at(something, here, let_go(now))),
% 17.79/11.75 inference(unit_resolution,[status(thm)],[24, 21, 18])).
% 17.79/11.75 tff(26,plain,
% 17.79/11.75 (^[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))))),
% 17.79/11.75 inference(bind,[status(th)],[])).
% 17.79/11.75 tff(27,plain,
% 17.79/11.75 (![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)))),
% 17.79/11.75 inference(quant_intro,[status(thm)],[26])).
% 17.79/11.75 tff(28,plain,
% 17.79/11.75 (![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)))),
% 17.79/11.75 inference(rewrite,[status(thm)],[])).
% 17.79/11.75 tff(29,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')).
% 17.79/11.75 tff(30,plain,
% 17.79/11.75 (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))),
% 17.79/11.75 inference(modus_ponens,[status(thm)],[29, 28])).
% 17.79/11.75 tff(31,plain,(
% 17.79/11.75 ![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))),
% 17.79/11.75 inference(skolemize,[status(sab)],[30])).
% 17.79/11.75 tff(32,plain,
% 17.79/11.75 (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))),
% 17.79/11.75 inference(modus_ponens,[status(thm)],[31, 27])).
% 17.79/11.75 tff(33,plain,
% 17.79/11.75 (((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))) | ((~at(something, here, let_go(now))) | at(something, here, pick_up(let_go(now))))) <=> ((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))) | (~at(something, here, let_go(now))) | at(something, here, pick_up(let_go(now))))),
% 17.79/11.75 inference(rewrite,[status(thm)],[])).
% 17.79/11.75 tff(34,plain,
% 17.79/11.75 ((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))) | ((~at(something, here, let_go(now))) | at(something, here, pick_up(let_go(now))))),
% 17.79/11.75 inference(quant_inst,[status(thm)],[])).
% 17.79/11.75 tff(35,plain,
% 17.79/11.75 ((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))) | (~at(something, here, let_go(now))) | at(something, here, pick_up(let_go(now)))),
% 17.79/11.75 inference(modus_ponens,[status(thm)],[34, 33])).
% 17.79/11.75 tff(36,plain,
% 17.79/11.75 (at(something, here, pick_up(let_go(now)))),
% 17.79/11.75 inference(unit_resolution,[status(thm)],[35, 32, 25])).
% 17.79/11.75 tff(37,plain,
% 17.79/11.75 (((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, let_go(Situation)))) | ((~at(something, here, pick_up(let_go(now)))) | at(something, here, let_go(pick_up(let_go(now)))))) <=> ((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, let_go(Situation)))) | (~at(something, here, pick_up(let_go(now)))) | at(something, here, let_go(pick_up(let_go(now)))))),
% 17.79/11.75 inference(rewrite,[status(thm)],[])).
% 17.79/11.75 tff(38,plain,
% 17.79/11.75 ((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, let_go(Situation)))) | ((~at(something, here, pick_up(let_go(now)))) | at(something, here, let_go(pick_up(let_go(now)))))),
% 17.79/11.75 inference(quant_inst,[status(thm)],[])).
% 17.79/11.75 tff(39,plain,
% 17.79/11.75 ((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, let_go(Situation)))) | (~at(something, here, pick_up(let_go(now)))) | at(something, here, let_go(pick_up(let_go(now))))),
% 17.79/11.75 inference(modus_ponens,[status(thm)],[38, 37])).
% 17.79/11.75 tff(40,plain,
% 17.79/11.75 (at(something, here, let_go(pick_up(let_go(now))))),
% 17.79/11.75 inference(unit_resolution,[status(thm)],[39, 18, 36])).
% 17.79/11.75 tff(41,plain,
% 17.79/11.75 (^[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)))),
% 17.79/11.75 inference(bind,[status(th)],[])).
% 17.79/11.75 tff(42,plain,
% 17.79/11.75 (![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))),
% 17.79/11.75 inference(quant_intro,[status(thm)],[41])).
% 17.79/11.75 tff(43,plain,
% 17.79/11.75 (![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))),
% 17.79/11.75 inference(rewrite,[status(thm)],[])).
% 17.79/11.75 tff(44,plain,
% 17.79/11.75 (^[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))))),
% 17.79/11.75 inference(bind,[status(th)],[])).
% 17.79/11.75 tff(45,plain,
% 17.79/11.75 (![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))),
% 17.79/11.75 inference(quant_intro,[status(thm)],[44])).
% 17.79/11.75 tff(46,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')).
% 17.79/11.75 tff(47,plain,
% 17.79/11.75 (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, go(Another_place, Situation)) | held(Thing, Situation))),
% 17.79/11.75 inference(modus_ponens,[status(thm)],[46, 45])).
% 17.79/11.75 tff(48,plain,
% 17.79/11.75 (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, go(Another_place, Situation)) | held(Thing, Situation))),
% 17.79/11.76 inference(modus_ponens,[status(thm)],[47, 43])).
% 17.79/11.76 tff(49,plain,(
% 17.79/11.76 ![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, go(Another_place, Situation)) | held(Thing, Situation))),
% 17.79/11.76 inference(skolemize,[status(sab)],[48])).
% 17.79/11.76 tff(50,plain,
% 17.79/11.76 (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, go(Another_place, Situation)) | held(Thing, Situation))),
% 17.79/11.76 inference(modus_ponens,[status(thm)],[49, 42])).
% 17.79/11.76 tff(51,plain,
% 17.79/11.76 (((~![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(pick_up(let_go(now)))) | at(something, here, go(here, let_go(pick_up(let_go(now))))) | (~at(something, here, let_go(pick_up(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(pick_up(let_go(now)))) | at(something, here, go(here, let_go(pick_up(let_go(now))))) | (~at(something, here, let_go(pick_up(let_go(now))))))),
% 17.79/11.76 inference(rewrite,[status(thm)],[])).
% 17.79/11.76 tff(52,plain,
% 17.79/11.76 (((~at(something, here, let_go(pick_up(let_go(now))))) | at(something, here, go(here, let_go(pick_up(let_go(now))))) | held(something, let_go(pick_up(let_go(now))))) <=> (held(something, let_go(pick_up(let_go(now)))) | at(something, here, go(here, let_go(pick_up(let_go(now))))) | (~at(something, here, let_go(pick_up(let_go(now))))))),
% 17.79/11.76 inference(rewrite,[status(thm)],[])).
% 17.79/11.76 tff(53,plain,
% 17.79/11.76 (((~![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(pick_up(let_go(now))))) | at(something, here, go(here, let_go(pick_up(let_go(now))))) | held(something, let_go(pick_up(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(pick_up(let_go(now)))) | at(something, here, go(here, let_go(pick_up(let_go(now))))) | (~at(something, here, let_go(pick_up(let_go(now)))))))),
% 17.79/11.76 inference(monotonicity,[status(thm)],[52])).
% 17.79/11.76 tff(54,plain,
% 17.79/11.76 (((~![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(pick_up(let_go(now))))) | at(something, here, go(here, let_go(pick_up(let_go(now))))) | held(something, let_go(pick_up(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(pick_up(let_go(now)))) | at(something, here, go(here, let_go(pick_up(let_go(now))))) | (~at(something, here, let_go(pick_up(let_go(now))))))),
% 17.79/11.76 inference(transitivity,[status(thm)],[53, 51])).
% 17.79/11.76 tff(55,plain,
% 17.79/11.76 ((~![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(pick_up(let_go(now))))) | at(something, here, go(here, let_go(pick_up(let_go(now))))) | held(something, let_go(pick_up(let_go(now)))))),
% 17.79/11.76 inference(quant_inst,[status(thm)],[])).
% 17.79/11.76 tff(56,plain,
% 17.79/11.76 ((~![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(pick_up(let_go(now)))) | at(something, here, go(here, let_go(pick_up(let_go(now))))) | (~at(something, here, let_go(pick_up(let_go(now)))))),
% 17.79/11.76 inference(modus_ponens,[status(thm)],[55, 54])).
% 17.79/11.76 tff(57,plain,
% 17.79/11.76 (held(something, let_go(pick_up(let_go(now)))) | at(something, here, go(here, let_go(pick_up(let_go(now)))))),
% 17.79/11.76 inference(unit_resolution,[status(thm)],[56, 50, 40])).
% 17.79/11.76 tff(58,plain,
% 17.79/11.76 (at(something, here, go(here, let_go(pick_up(let_go(now)))))),
% 17.79/11.76 inference(unit_resolution,[status(thm)],[57, 11])).
% 17.79/11.76 tff(59,plain,
% 17.79/11.76 (((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))) | ((~at(something, here, go(here, let_go(pick_up(let_go(now)))))) | at(something, here, pick_up(go(here, let_go(pick_up(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(pick_up(let_go(now)))))) | at(something, here, pick_up(go(here, let_go(pick_up(let_go(now)))))))),
% 17.79/11.76 inference(rewrite,[status(thm)],[])).
% 17.79/11.76 tff(60,plain,
% 17.79/11.76 ((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))) | ((~at(something, here, go(here, let_go(pick_up(let_go(now)))))) | at(something, here, pick_up(go(here, let_go(pick_up(let_go(now)))))))),
% 17.79/11.76 inference(quant_inst,[status(thm)],[])).
% 17.79/11.76 tff(61,plain,
% 17.79/11.76 ((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))) | (~at(something, here, go(here, let_go(pick_up(let_go(now)))))) | at(something, here, pick_up(go(here, let_go(pick_up(let_go(now))))))),
% 17.79/11.76 inference(modus_ponens,[status(thm)],[60, 59])).
% 17.79/11.76 tff(62,plain,
% 17.79/11.76 (at(something, here, pick_up(go(here, let_go(pick_up(let_go(now))))))),
% 17.79/11.76 inference(unit_resolution,[status(thm)],[61, 32, 58])).
% 17.79/11.76 tff(63,plain,
% 17.79/11.76 (^[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))))))),
% 17.79/11.76 inference(bind,[status(th)],[])).
% 17.79/11.76 tff(64,plain,
% 17.79/11.76 (![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)))))),
% 17.79/11.76 inference(quant_intro,[status(thm)],[63])).
% 17.79/11.76 tff(65,plain,
% 17.79/11.76 (![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)))))),
% 17.79/11.76 inference(rewrite,[status(thm)],[])).
% 17.79/11.76 tff(66,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')).
% 17.79/11.76 tff(67,plain,
% 17.79/11.76 (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | grabbed(Thing, pick_up(go(Place, let_go(Situation)))))),
% 17.79/11.76 inference(modus_ponens,[status(thm)],[66, 65])).
% 17.79/11.76 tff(68,plain,(
% 17.79/11.76 ![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | grabbed(Thing, pick_up(go(Place, let_go(Situation)))))),
% 17.79/11.76 inference(skolemize,[status(sab)],[67])).
% 17.79/11.76 tff(69,plain,
% 17.79/11.76 (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | grabbed(Thing, pick_up(go(Place, let_go(Situation)))))),
% 17.79/11.76 inference(modus_ponens,[status(thm)],[68, 64])).
% 17.79/11.76 tff(70,plain,
% 17.79/11.76 (((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | grabbed(Thing, pick_up(go(Place, let_go(Situation)))))) | ((~at(something, here, pick_up(let_go(now)))) | grabbed(something, pick_up(go(here, let_go(pick_up(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, pick_up(let_go(now)))) | grabbed(something, pick_up(go(here, let_go(pick_up(let_go(now)))))))),
% 17.79/11.76 inference(rewrite,[status(thm)],[])).
% 17.79/11.76 tff(71,plain,
% 17.79/11.76 ((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | grabbed(Thing, pick_up(go(Place, let_go(Situation)))))) | ((~at(something, here, pick_up(let_go(now)))) | grabbed(something, pick_up(go(here, let_go(pick_up(let_go(now)))))))),
% 17.79/11.76 inference(quant_inst,[status(thm)],[])).
% 17.79/11.76 tff(72,plain,
% 17.79/11.76 ((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | grabbed(Thing, pick_up(go(Place, let_go(Situation)))))) | (~at(something, here, pick_up(let_go(now)))) | grabbed(something, pick_up(go(here, let_go(pick_up(let_go(now))))))),
% 17.79/11.76 inference(modus_ponens,[status(thm)],[71, 70])).
% 17.79/11.76 tff(73,plain,
% 17.79/11.76 (grabbed(something, pick_up(go(here, let_go(pick_up(let_go(now))))))),
% 17.79/11.76 inference(unit_resolution,[status(thm)],[72, 69, 36])).
% 17.79/11.76 tff(74,plain,
% 17.79/11.76 (^[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))))),
% 17.79/11.76 inference(bind,[status(th)],[])).
% 17.79/11.76 tff(75,plain,
% 17.79/11.76 (![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)))),
% 17.79/11.76 inference(quant_intro,[status(thm)],[74])).
% 17.79/11.76 tff(76,plain,
% 17.79/11.76 (![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)))),
% 17.79/11.76 inference(rewrite,[status(thm)],[])).
% 17.79/11.76 tff(77,plain,
% 17.79/11.76 (^[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)))))),
% 17.79/11.76 inference(bind,[status(th)],[])).
% 17.79/11.76 tff(78,plain,
% 17.79/11.76 (![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)))),
% 17.79/11.76 inference(quant_intro,[status(thm)],[77])).
% 17.79/11.76 tff(79,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')).
% 17.79/11.76 tff(80,plain,
% 17.79/11.76 (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | put(Thing, Another_place, go(Another_place, Situation)) | (~grabbed(Thing, Situation)))),
% 17.79/11.76 inference(modus_ponens,[status(thm)],[79, 78])).
% 17.79/11.76 tff(81,plain,
% 17.79/11.76 (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | put(Thing, Another_place, go(Another_place, Situation)) | (~grabbed(Thing, Situation)))),
% 17.84/11.76 inference(modus_ponens,[status(thm)],[80, 76])).
% 17.84/11.76 tff(82,plain,(
% 17.84/11.76 ![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | put(Thing, Another_place, go(Another_place, Situation)) | (~grabbed(Thing, Situation)))),
% 17.84/11.76 inference(skolemize,[status(sab)],[81])).
% 17.84/11.76 tff(83,plain,
% 17.84/11.76 (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | put(Thing, Another_place, go(Another_place, Situation)) | (~grabbed(Thing, Situation)))),
% 17.84/11.76 inference(modus_ponens,[status(thm)],[82, 75])).
% 17.84/11.76 tff(84,plain,
% 17.84/11.76 (((~![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(pick_up(let_go(now))))))) | (~grabbed(something, pick_up(go(here, let_go(pick_up(let_go(now))))))) | put(something, there, go(there, pick_up(go(here, let_go(pick_up(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(pick_up(let_go(now))))))) | (~grabbed(something, pick_up(go(here, let_go(pick_up(let_go(now))))))) | put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now))))))))),
% 17.84/11.76 inference(rewrite,[status(thm)],[])).
% 17.84/11.76 tff(85,plain,
% 17.84/11.76 (((~at(something, here, pick_up(go(here, let_go(pick_up(let_go(now))))))) | put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now))))))) | (~grabbed(something, pick_up(go(here, let_go(pick_up(let_go(now)))))))) <=> ((~at(something, here, pick_up(go(here, let_go(pick_up(let_go(now))))))) | (~grabbed(something, pick_up(go(here, let_go(pick_up(let_go(now))))))) | put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now))))))))),
% 17.84/11.76 inference(rewrite,[status(thm)],[])).
% 17.84/11.76 tff(86,plain,
% 17.84/11.76 (((~![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(pick_up(let_go(now))))))) | put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now))))))) | (~grabbed(something, pick_up(go(here, let_go(pick_up(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(pick_up(let_go(now))))))) | (~grabbed(something, pick_up(go(here, let_go(pick_up(let_go(now))))))) | put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now)))))))))),
% 17.84/11.76 inference(monotonicity,[status(thm)],[85])).
% 17.84/11.76 tff(87,plain,
% 17.84/11.76 (((~![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(pick_up(let_go(now))))))) | put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now))))))) | (~grabbed(something, pick_up(go(here, let_go(pick_up(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(pick_up(let_go(now))))))) | (~grabbed(something, pick_up(go(here, let_go(pick_up(let_go(now))))))) | put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now))))))))),
% 17.84/11.76 inference(transitivity,[status(thm)],[86, 84])).
% 17.84/11.76 tff(88,plain,
% 17.84/11.76 ((~![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(pick_up(let_go(now))))))) | put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now))))))) | (~grabbed(something, pick_up(go(here, let_go(pick_up(let_go(now))))))))),
% 17.84/11.76 inference(quant_inst,[status(thm)],[])).
% 17.84/11.76 tff(89,plain,
% 17.84/11.76 ((~![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(pick_up(let_go(now))))))) | (~grabbed(something, pick_up(go(here, let_go(pick_up(let_go(now))))))) | put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now)))))))),
% 17.84/11.76 inference(modus_ponens,[status(thm)],[88, 87])).
% 17.84/11.76 tff(90,plain,
% 17.84/11.76 (put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now)))))))),
% 17.84/11.76 inference(unit_resolution,[status(thm)],[89, 83, 73, 62])).
% 17.84/11.76 tff(91,plain,
% 17.84/11.76 (^[Thing: $i, Situation: $i] : refl((red(Thing) | (~at(Thing, here, Situation))) <=> (red(Thing) | (~at(Thing, here, Situation))))),
% 17.84/11.76 inference(bind,[status(th)],[])).
% 17.84/11.76 tff(92,plain,
% 17.84/11.76 (![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation))) <=> ![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 17.84/11.76 inference(quant_intro,[status(thm)],[91])).
% 17.84/11.76 tff(93,plain,
% 17.84/11.76 (![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation))) <=> ![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 17.84/11.76 inference(rewrite,[status(thm)],[])).
% 17.84/11.76 tff(94,plain,
% 17.84/11.76 (^[Thing: $i, Situation: $i] : rewrite(((~at(Thing, here, Situation)) | red(Thing)) <=> (red(Thing) | (~at(Thing, here, Situation))))),
% 17.84/11.76 inference(bind,[status(th)],[])).
% 17.84/11.76 tff(95,plain,
% 17.84/11.76 (![Thing: $i, Situation: $i] : ((~at(Thing, here, Situation)) | red(Thing)) <=> ![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 17.84/11.76 inference(quant_intro,[status(thm)],[94])).
% 17.84/11.76 tff(96,axiom,(![Thing: $i, Situation: $i] : ((~at(Thing, here, Situation)) | red(Thing))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','everything_is_red')).
% 17.84/11.76 tff(97,plain,
% 17.84/11.76 (![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 17.84/11.76 inference(modus_ponens,[status(thm)],[96, 95])).
% 17.84/11.76 tff(98,plain,
% 17.84/11.76 (![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 17.84/11.76 inference(modus_ponens,[status(thm)],[97, 93])).
% 17.84/11.76 tff(99,plain,(
% 17.84/11.76 ![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 17.84/11.76 inference(skolemize,[status(sab)],[98])).
% 17.84/11.76 tff(100,plain,
% 17.84/11.76 (![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 17.84/11.76 inference(modus_ponens,[status(thm)],[99, 92])).
% 17.84/11.76 tff(101,plain,
% 17.84/11.76 (((~![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)))),
% 17.84/11.76 inference(rewrite,[status(thm)],[])).
% 17.84/11.76 tff(102,plain,
% 17.84/11.76 ((~![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))) | (red(something) | (~at(something, here, now)))),
% 17.84/11.76 inference(quant_inst,[status(thm)],[])).
% 17.84/11.76 tff(103,plain,
% 17.84/11.76 ((~![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))) | red(something) | (~at(something, here, now))),
% 17.84/11.76 inference(modus_ponens,[status(thm)],[102, 101])).
% 17.84/11.76 tff(104,plain,
% 17.84/11.76 (red(something)),
% 17.84/11.76 inference(unit_resolution,[status(thm)],[103, 21, 100])).
% 17.84/11.76 tff(105,plain,
% 17.84/11.76 (^[Thing: $i, Situation: $i] : refl((answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing))) <=> (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing))))),
% 17.84/11.76 inference(bind,[status(th)],[])).
% 17.84/11.76 tff(106,plain,
% 17.84/11.76 (![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing))) <=> ![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 17.84/11.76 inference(quant_intro,[status(thm)],[105])).
% 17.84/11.76 tff(107,plain,
% 17.84/11.76 (![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing))) <=> ![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 17.84/11.76 inference(rewrite,[status(thm)],[])).
% 17.84/11.76 tff(108,plain,
% 17.84/11.76 (^[Thing: $i, Situation: $i] : rewrite((((~red(Thing)) | (~put(Thing, there, Situation))) | answer(Situation)) <=> (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing))))),
% 17.84/11.76 inference(bind,[status(th)],[])).
% 17.84/11.76 tff(109,plain,
% 17.84/11.76 (![Thing: $i, Situation: $i] : (((~red(Thing)) | (~put(Thing, there, Situation))) | answer(Situation)) <=> ![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 17.84/11.76 inference(quant_intro,[status(thm)],[108])).
% 17.84/11.76 tff(110,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')).
% 17.84/11.76 tff(111,plain,
% 17.84/11.76 (![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 17.84/11.76 inference(modus_ponens,[status(thm)],[110, 109])).
% 17.84/11.76 tff(112,plain,
% 17.84/11.76 (![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 17.84/11.76 inference(modus_ponens,[status(thm)],[111, 107])).
% 17.84/11.76 tff(113,plain,(
% 17.84/11.76 ![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 17.84/11.76 inference(skolemize,[status(sab)],[112])).
% 17.84/11.76 tff(114,plain,
% 17.84/11.76 (![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 17.84/11.76 inference(modus_ponens,[status(thm)],[113, 106])).
% 17.84/11.76 tff(115,plain,
% 17.84/11.76 (((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | ((~red(something)) | (~put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now)))))))) | answer(go(there, pick_up(go(here, let_go(pick_up(let_go(now))))))))) <=> ((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | (~red(something)) | (~put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now)))))))) | answer(go(there, pick_up(go(here, let_go(pick_up(let_go(now))))))))),
% 17.84/11.76 inference(rewrite,[status(thm)],[])).
% 17.84/11.76 tff(116,plain,
% 17.84/11.76 ((answer(go(there, pick_up(go(here, let_go(pick_up(let_go(now))))))) | (~put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now)))))))) | (~red(something))) <=> ((~red(something)) | (~put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now)))))))) | answer(go(there, pick_up(go(here, let_go(pick_up(let_go(now))))))))),
% 17.84/11.76 inference(rewrite,[status(thm)],[])).
% 17.84/11.76 tff(117,plain,
% 17.84/11.76 (((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | (answer(go(there, pick_up(go(here, let_go(pick_up(let_go(now))))))) | (~put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now)))))))) | (~red(something)))) <=> ((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | ((~red(something)) | (~put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now)))))))) | answer(go(there, pick_up(go(here, let_go(pick_up(let_go(now)))))))))),
% 17.84/11.76 inference(monotonicity,[status(thm)],[116])).
% 17.84/11.76 tff(118,plain,
% 17.84/11.76 (((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | (answer(go(there, pick_up(go(here, let_go(pick_up(let_go(now))))))) | (~put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now)))))))) | (~red(something)))) <=> ((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | (~red(something)) | (~put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now)))))))) | answer(go(there, pick_up(go(here, let_go(pick_up(let_go(now))))))))),
% 17.84/11.76 inference(transitivity,[status(thm)],[117, 115])).
% 17.84/11.76 tff(119,plain,
% 17.84/11.76 ((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | (answer(go(there, pick_up(go(here, let_go(pick_up(let_go(now))))))) | (~put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now)))))))) | (~red(something)))),
% 17.84/11.76 inference(quant_inst,[status(thm)],[])).
% 17.84/11.76 tff(120,plain,
% 17.84/11.76 ((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | (~red(something)) | (~put(something, there, go(there, pick_up(go(here, let_go(pick_up(let_go(now)))))))) | answer(go(there, pick_up(go(here, let_go(pick_up(let_go(now)))))))),
% 17.84/11.76 inference(modus_ponens,[status(thm)],[119, 118])).
% 17.84/11.76 tff(121,plain,
% 17.84/11.76 (answer(go(there, pick_up(go(here, let_go(pick_up(let_go(now)))))))),
% 17.84/11.76 inference(unit_resolution,[status(thm)],[120, 114, 104, 90])).
% 17.84/11.76 tff(122,plain,
% 17.84/11.76 (^[Situation: $i] : refl((~answer(Situation)) <=> (~answer(Situation)))),
% 17.84/11.76 inference(bind,[status(th)],[])).
% 17.84/11.76 tff(123,plain,
% 17.84/11.76 (![Situation: $i] : (~answer(Situation)) <=> ![Situation: $i] : (~answer(Situation))),
% 17.84/11.76 inference(quant_intro,[status(thm)],[122])).
% 17.84/11.76 tff(124,plain,
% 17.84/11.76 (![Situation: $i] : (~answer(Situation)) <=> ![Situation: $i] : (~answer(Situation))),
% 17.84/11.76 inference(rewrite,[status(thm)],[])).
% 17.84/11.76 tff(125,axiom,(![Situation: $i] : (~answer(Situation))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_there_is_an_answer_situation')).
% 17.84/11.76 tff(126,plain,
% 17.84/11.76 (![Situation: $i] : (~answer(Situation))),
% 17.84/11.76 inference(modus_ponens,[status(thm)],[125, 124])).
% 17.84/11.76 tff(127,plain,(
% 17.84/11.76 ![Situation: $i] : (~answer(Situation))),
% 17.84/11.76 inference(skolemize,[status(sab)],[126])).
% 17.84/11.76 tff(128,plain,
% 17.84/11.76 (![Situation: $i] : (~answer(Situation))),
% 17.84/11.76 inference(modus_ponens,[status(thm)],[127, 123])).
% 17.84/11.76 tff(129,plain,
% 17.84/11.76 ((~![Situation: $i] : (~answer(Situation))) | (~answer(go(there, pick_up(go(here, let_go(pick_up(let_go(now))))))))),
% 17.84/11.76 inference(quant_inst,[status(thm)],[])).
% 17.84/11.76 tff(130,plain,
% 17.84/11.76 ($false),
% 17.84/11.76 inference(unit_resolution,[status(thm)],[129, 128, 121])).
% 17.84/11.76 % SZS output end Proof
%------------------------------------------------------------------------------