TSTP Solution File: MSC002-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MSC002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.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 05:33:58 EDT 2022
% Result : Unsatisfiable 6.13s 4.15s
% Output : Proof 6.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MSC002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n018.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 03:02:43 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.
% 6.13/4.15 % SZS status Unsatisfiable
% 6.13/4.15 % SZS output start Proof
% 6.13/4.15 tff(answer_type, type, (
% 6.13/4.15 answer: $i > $o)).
% 6.13/4.15 tff(go_type, type, (
% 6.13/4.15 go: ( $i * $i ) > $i)).
% 6.13/4.15 tff(pick_up_type, type, (
% 6.13/4.15 pick_up: $i > $i)).
% 6.13/4.15 tff(let_go_type, type, (
% 6.13/4.15 let_go: $i > $i)).
% 6.13/4.15 tff(now_type, type, (
% 6.13/4.15 now: $i)).
% 6.13/4.15 tff(here_type, type, (
% 6.13/4.15 here: $i)).
% 6.13/4.15 tff(there_type, type, (
% 6.13/4.15 there: $i)).
% 6.13/4.15 tff(put_type, type, (
% 6.13/4.15 put: ( $i * $i * $i ) > $o)).
% 6.13/4.15 tff(something_type, type, (
% 6.13/4.15 something: $i)).
% 6.13/4.15 tff(at_type, type, (
% 6.13/4.15 at: ( $i * $i * $i ) > $o)).
% 6.13/4.15 tff(held_type, type, (
% 6.13/4.15 held: ( $i * $i ) > $o)).
% 6.13/4.15 tff(grabbed_type, type, (
% 6.13/4.15 grabbed: ( $i * $i ) > $o)).
% 6.13/4.15 tff(red_type, type, (
% 6.13/4.15 red: $i > $o)).
% 6.13/4.15 tff(1,assumption,(held(something, let_go(let_go(now)))), introduced(assumption)).
% 6.13/4.15 tff(2,plain,
% 6.13/4.15 (^[Thing: $i, Situation: $i] : refl((~held(Thing, let_go(Situation))) <=> (~held(Thing, let_go(Situation))))),
% 6.13/4.15 inference(bind,[status(th)],[])).
% 6.13/4.15 tff(3,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation))) <=> ![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))),
% 6.13/4.15 inference(quant_intro,[status(thm)],[2])).
% 6.13/4.15 tff(4,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation))) <=> ![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(5,axiom,(![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cant_hold_and_let_go')).
% 6.13/4.15 tff(6,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[5, 4])).
% 6.13/4.15 tff(7,plain,(
% 6.13/4.15 ![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))),
% 6.13/4.15 inference(skolemize,[status(sab)],[6])).
% 6.13/4.15 tff(8,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[7, 3])).
% 6.13/4.15 tff(9,plain,
% 6.13/4.15 ((~![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))) | (~held(something, let_go(let_go(now))))),
% 6.13/4.15 inference(quant_inst,[status(thm)],[])).
% 6.13/4.15 tff(10,plain,
% 6.13/4.15 ($false),
% 6.13/4.15 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 6.13/4.15 tff(11,plain,(~held(something, let_go(let_go(now)))), inference(lemma,lemma(discharge,[]))).
% 6.13/4.15 tff(12,plain,
% 6.13/4.15 (^[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))))),
% 6.13/4.15 inference(bind,[status(th)],[])).
% 6.13/4.15 tff(13,plain,
% 6.13/4.15 (![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)))),
% 6.13/4.15 inference(quant_intro,[status(thm)],[12])).
% 6.13/4.15 tff(14,plain,
% 6.13/4.15 (![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)))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 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')).
% 6.13/4.15 tff(16,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, let_go(Situation)))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[15, 14])).
% 6.13/4.15 tff(17,plain,(
% 6.13/4.15 ![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, let_go(Situation)))),
% 6.13/4.15 inference(skolemize,[status(sab)],[16])).
% 6.13/4.15 tff(18,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, let_go(Situation)))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[17, 13])).
% 6.13/4.15 tff(19,plain,
% 6.13/4.15 (at(something, here, now) <=> at(something, here, now)),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(20,axiom,(at(something, here, now)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','something_is_here_now')).
% 6.13/4.15 tff(21,plain,
% 6.13/4.15 (at(something, here, now)),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[20, 19])).
% 6.13/4.15 tff(22,plain,
% 6.13/4.15 (((~![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)))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(23,plain,
% 6.13/4.15 ((~![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)))),
% 6.13/4.15 inference(quant_inst,[status(thm)],[])).
% 6.13/4.15 tff(24,plain,
% 6.13/4.15 ((~![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))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[23, 22])).
% 6.13/4.15 tff(25,plain,
% 6.13/4.15 (at(something, here, let_go(now))),
% 6.13/4.15 inference(unit_resolution,[status(thm)],[24, 21, 18])).
% 6.13/4.15 tff(26,plain,
% 6.13/4.15 (((~![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))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(27,plain,
% 6.13/4.15 ((~![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))))),
% 6.13/4.15 inference(quant_inst,[status(thm)],[])).
% 6.13/4.15 tff(28,plain,
% 6.13/4.15 ((~![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)))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[27, 26])).
% 6.13/4.15 tff(29,plain,
% 6.13/4.15 (at(something, here, let_go(let_go(now)))),
% 6.13/4.15 inference(unit_resolution,[status(thm)],[28, 18, 25])).
% 6.13/4.15 tff(30,plain,
% 6.13/4.15 (^[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)))),
% 6.13/4.15 inference(bind,[status(th)],[])).
% 6.13/4.15 tff(31,plain,
% 6.13/4.15 (![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))),
% 6.13/4.15 inference(quant_intro,[status(thm)],[30])).
% 6.13/4.15 tff(32,plain,
% 6.13/4.15 (![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))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(33,plain,
% 6.13/4.15 (^[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))))),
% 6.13/4.15 inference(bind,[status(th)],[])).
% 6.13/4.15 tff(34,plain,
% 6.13/4.15 (![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))),
% 6.13/4.15 inference(quant_intro,[status(thm)],[33])).
% 6.13/4.15 tff(35,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')).
% 6.13/4.15 tff(36,plain,
% 6.13/4.15 (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, go(Another_place, Situation)) | held(Thing, Situation))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[35, 34])).
% 6.13/4.15 tff(37,plain,
% 6.13/4.15 (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, go(Another_place, Situation)) | held(Thing, Situation))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[36, 32])).
% 6.13/4.15 tff(38,plain,(
% 6.13/4.15 ![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, go(Another_place, Situation)) | held(Thing, Situation))),
% 6.13/4.15 inference(skolemize,[status(sab)],[37])).
% 6.13/4.15 tff(39,plain,
% 6.13/4.15 (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, go(Another_place, Situation)) | held(Thing, Situation))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[38, 31])).
% 6.13/4.15 tff(40,plain,
% 6.13/4.15 (((~![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)))) | held(something, 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))) | (~at(something, here, let_go(let_go(now)))) | held(something, let_go(let_go(now))) | at(something, here, go(here, let_go(let_go(now)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(41,plain,
% 6.13/4.15 (((~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)))) <=> ((~at(something, here, let_go(let_go(now)))) | held(something, let_go(let_go(now))) | at(something, here, go(here, let_go(let_go(now)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(42,plain,
% 6.13/4.15 (((~![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))) | ((~at(something, here, let_go(let_go(now)))) | held(something, let_go(let_go(now))) | at(something, here, go(here, let_go(let_go(now))))))),
% 6.13/4.15 inference(monotonicity,[status(thm)],[41])).
% 6.13/4.15 tff(43,plain,
% 6.13/4.15 (((~![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))) | (~at(something, here, let_go(let_go(now)))) | held(something, let_go(let_go(now))) | at(something, here, go(here, let_go(let_go(now)))))),
% 6.13/4.15 inference(transitivity,[status(thm)],[42, 40])).
% 6.13/4.15 tff(44,plain,
% 6.13/4.15 ((~![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))))),
% 6.13/4.15 inference(quant_inst,[status(thm)],[])).
% 6.13/4.15 tff(45,plain,
% 6.13/4.15 ((~![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)))) | held(something, let_go(let_go(now))) | at(something, here, go(here, let_go(let_go(now))))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[44, 43])).
% 6.13/4.15 tff(46,plain,
% 6.13/4.15 (held(something, let_go(let_go(now))) | at(something, here, go(here, let_go(let_go(now))))),
% 6.13/4.15 inference(unit_resolution,[status(thm)],[45, 39, 29])).
% 6.13/4.15 tff(47,plain,
% 6.13/4.15 (at(something, here, go(here, let_go(let_go(now))))),
% 6.13/4.15 inference(unit_resolution,[status(thm)],[46, 11])).
% 6.13/4.15 tff(48,plain,
% 6.13/4.15 (^[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))))),
% 6.13/4.15 inference(bind,[status(th)],[])).
% 6.13/4.15 tff(49,plain,
% 6.13/4.15 (![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)))),
% 6.13/4.15 inference(quant_intro,[status(thm)],[48])).
% 6.13/4.15 tff(50,plain,
% 6.13/4.15 (![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)))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(51,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')).
% 6.13/4.15 tff(52,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[51, 50])).
% 6.13/4.15 tff(53,plain,(
% 6.13/4.15 ![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))),
% 6.13/4.15 inference(skolemize,[status(sab)],[52])).
% 6.13/4.15 tff(54,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[53, 49])).
% 6.13/4.15 tff(55,plain,
% 6.13/4.15 (((~![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))))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(56,plain,
% 6.13/4.15 ((~![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))))))),
% 6.13/4.15 inference(quant_inst,[status(thm)],[])).
% 6.13/4.15 tff(57,plain,
% 6.13/4.15 ((~![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)))))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[56, 55])).
% 6.13/4.15 tff(58,plain,
% 6.13/4.15 (at(something, here, pick_up(go(here, let_go(let_go(now)))))),
% 6.13/4.15 inference(unit_resolution,[status(thm)],[57, 54, 47])).
% 6.13/4.15 tff(59,plain,
% 6.13/4.15 (^[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))))))),
% 6.13/4.15 inference(bind,[status(th)],[])).
% 6.13/4.15 tff(60,plain,
% 6.13/4.15 (![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)))))),
% 6.13/4.15 inference(quant_intro,[status(thm)],[59])).
% 6.13/4.15 tff(61,plain,
% 6.13/4.15 (![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)))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(62,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')).
% 6.13/4.15 tff(63,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | grabbed(Thing, pick_up(go(Place, let_go(Situation)))))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[62, 61])).
% 6.13/4.15 tff(64,plain,(
% 6.13/4.15 ![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | grabbed(Thing, pick_up(go(Place, let_go(Situation)))))),
% 6.13/4.15 inference(skolemize,[status(sab)],[63])).
% 6.13/4.15 tff(65,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | grabbed(Thing, pick_up(go(Place, let_go(Situation)))))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[64, 60])).
% 6.13/4.15 tff(66,plain,
% 6.13/4.15 (((~![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))))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(67,plain,
% 6.13/4.15 ((~![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))))))),
% 6.13/4.15 inference(quant_inst,[status(thm)],[])).
% 6.13/4.15 tff(68,plain,
% 6.13/4.15 ((~![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)))))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[67, 66])).
% 6.13/4.15 tff(69,plain,
% 6.13/4.15 (grabbed(something, pick_up(go(here, let_go(let_go(now)))))),
% 6.13/4.15 inference(unit_resolution,[status(thm)],[68, 65, 25])).
% 6.13/4.15 tff(70,plain,
% 6.13/4.15 (^[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))))),
% 6.13/4.15 inference(bind,[status(th)],[])).
% 6.13/4.15 tff(71,plain,
% 6.13/4.15 (![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)))),
% 6.13/4.15 inference(quant_intro,[status(thm)],[70])).
% 6.13/4.15 tff(72,plain,
% 6.13/4.15 (![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)))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(73,plain,
% 6.13/4.15 (^[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)))))),
% 6.13/4.15 inference(bind,[status(th)],[])).
% 6.13/4.15 tff(74,plain,
% 6.13/4.15 (![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)))),
% 6.13/4.15 inference(quant_intro,[status(thm)],[73])).
% 6.13/4.15 tff(75,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')).
% 6.13/4.15 tff(76,plain,
% 6.13/4.15 (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | put(Thing, Another_place, go(Another_place, Situation)) | (~grabbed(Thing, Situation)))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[75, 74])).
% 6.13/4.15 tff(77,plain,
% 6.13/4.15 (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | put(Thing, Another_place, go(Another_place, Situation)) | (~grabbed(Thing, Situation)))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[76, 72])).
% 6.13/4.15 tff(78,plain,(
% 6.13/4.15 ![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | put(Thing, Another_place, go(Another_place, Situation)) | (~grabbed(Thing, Situation)))),
% 6.13/4.15 inference(skolemize,[status(sab)],[77])).
% 6.13/4.15 tff(79,plain,
% 6.13/4.15 (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | put(Thing, Another_place, go(Another_place, Situation)) | (~grabbed(Thing, Situation)))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[78, 71])).
% 6.13/4.15 tff(80,plain,
% 6.13/4.15 (((~![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)))))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(81,plain,
% 6.13/4.15 ((~![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)))))))),
% 6.13/4.15 inference(quant_inst,[status(thm)],[])).
% 6.13/4.15 tff(82,plain,
% 6.13/4.15 ((~![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))))))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[81, 80])).
% 6.13/4.15 tff(83,plain,
% 6.13/4.15 (put(something, there, go(there, pick_up(go(here, let_go(let_go(now))))))),
% 6.13/4.15 inference(unit_resolution,[status(thm)],[82, 79, 69, 58])).
% 6.13/4.15 tff(84,plain,
% 6.13/4.15 (^[Thing: $i, Situation: $i] : refl((red(Thing) | (~at(Thing, here, Situation))) <=> (red(Thing) | (~at(Thing, here, Situation))))),
% 6.13/4.15 inference(bind,[status(th)],[])).
% 6.13/4.15 tff(85,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation))) <=> ![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 6.13/4.15 inference(quant_intro,[status(thm)],[84])).
% 6.13/4.15 tff(86,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation))) <=> ![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(87,plain,
% 6.13/4.15 (^[Thing: $i, Situation: $i] : rewrite(((~at(Thing, here, Situation)) | red(Thing)) <=> (red(Thing) | (~at(Thing, here, Situation))))),
% 6.13/4.15 inference(bind,[status(th)],[])).
% 6.13/4.15 tff(88,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i] : ((~at(Thing, here, Situation)) | red(Thing)) <=> ![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 6.13/4.15 inference(quant_intro,[status(thm)],[87])).
% 6.13/4.15 tff(89,axiom,(![Thing: $i, Situation: $i] : ((~at(Thing, here, Situation)) | red(Thing))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','everything_is_red')).
% 6.13/4.15 tff(90,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[89, 88])).
% 6.13/4.15 tff(91,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[90, 86])).
% 6.13/4.15 tff(92,plain,(
% 6.13/4.15 ![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 6.13/4.15 inference(skolemize,[status(sab)],[91])).
% 6.13/4.15 tff(93,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[92, 85])).
% 6.13/4.15 tff(94,plain,
% 6.13/4.15 (((~![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)))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(95,plain,
% 6.13/4.15 ((~![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))) | (red(something) | (~at(something, here, now)))),
% 6.13/4.15 inference(quant_inst,[status(thm)],[])).
% 6.13/4.15 tff(96,plain,
% 6.13/4.15 ((~![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))) | red(something) | (~at(something, here, now))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[95, 94])).
% 6.13/4.15 tff(97,plain,
% 6.13/4.15 (red(something)),
% 6.13/4.15 inference(unit_resolution,[status(thm)],[96, 21, 93])).
% 6.13/4.15 tff(98,plain,
% 6.13/4.15 (^[Thing: $i, Situation: $i] : refl((answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing))) <=> (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing))))),
% 6.13/4.15 inference(bind,[status(th)],[])).
% 6.13/4.15 tff(99,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing))) <=> ![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 6.13/4.15 inference(quant_intro,[status(thm)],[98])).
% 6.13/4.15 tff(100,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing))) <=> ![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(101,plain,
% 6.13/4.15 (^[Thing: $i, Situation: $i] : rewrite((((~red(Thing)) | (~put(Thing, there, Situation))) | answer(Situation)) <=> (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing))))),
% 6.13/4.15 inference(bind,[status(th)],[])).
% 6.13/4.15 tff(102,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i] : (((~red(Thing)) | (~put(Thing, there, Situation))) | answer(Situation)) <=> ![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 6.13/4.15 inference(quant_intro,[status(thm)],[101])).
% 6.13/4.15 tff(103,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')).
% 6.13/4.15 tff(104,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[103, 102])).
% 6.13/4.15 tff(105,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[104, 100])).
% 6.13/4.15 tff(106,plain,(
% 6.13/4.15 ![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 6.13/4.15 inference(skolemize,[status(sab)],[105])).
% 6.13/4.15 tff(107,plain,
% 6.13/4.15 (![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 6.13/4.15 inference(modus_ponens,[status(thm)],[106, 99])).
% 6.13/4.15 tff(108,plain,
% 6.13/4.15 (((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | ((~put(something, there, go(there, pick_up(go(here, let_go(let_go(now))))))) | (~red(something)) | answer(go(there, pick_up(go(here, let_go(let_go(now)))))))) <=> ((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | (~put(something, there, go(there, pick_up(go(here, let_go(let_go(now))))))) | (~red(something)) | answer(go(there, pick_up(go(here, let_go(let_go(now)))))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(109,plain,
% 6.13/4.15 ((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))) <=> ((~put(something, there, go(there, pick_up(go(here, let_go(let_go(now))))))) | (~red(something)) | answer(go(there, pick_up(go(here, let_go(let_go(now)))))))),
% 6.13/4.15 inference(rewrite,[status(thm)],[])).
% 6.13/4.15 tff(110,plain,
% 6.13/4.15 (((~![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)))) | ((~put(something, there, go(there, pick_up(go(here, let_go(let_go(now))))))) | (~red(something)) | answer(go(there, pick_up(go(here, let_go(let_go(now))))))))),
% 6.13/4.15 inference(monotonicity,[status(thm)],[109])).
% 6.13/4.15 tff(111,plain,
% 6.13/4.15 (((~![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)))) | (~put(something, there, go(there, pick_up(go(here, let_go(let_go(now))))))) | (~red(something)) | answer(go(there, pick_up(go(here, let_go(let_go(now)))))))),
% 6.13/4.15 inference(transitivity,[status(thm)],[110, 108])).
% 6.13/4.15 tff(112,plain,
% 6.13/4.15 ((~![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)))),
% 6.13/4.16 inference(quant_inst,[status(thm)],[])).
% 6.13/4.16 tff(113,plain,
% 6.13/4.16 ((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | (~put(something, there, go(there, pick_up(go(here, let_go(let_go(now))))))) | (~red(something)) | answer(go(there, pick_up(go(here, let_go(let_go(now))))))),
% 6.13/4.16 inference(modus_ponens,[status(thm)],[112, 111])).
% 6.13/4.16 tff(114,plain,
% 6.13/4.16 (answer(go(there, pick_up(go(here, let_go(let_go(now))))))),
% 6.13/4.16 inference(unit_resolution,[status(thm)],[113, 107, 97, 83])).
% 6.13/4.16 tff(115,plain,
% 6.13/4.16 (^[Situation: $i] : refl((~answer(Situation)) <=> (~answer(Situation)))),
% 6.13/4.16 inference(bind,[status(th)],[])).
% 6.13/4.16 tff(116,plain,
% 6.13/4.16 (![Situation: $i] : (~answer(Situation)) <=> ![Situation: $i] : (~answer(Situation))),
% 6.13/4.16 inference(quant_intro,[status(thm)],[115])).
% 6.13/4.16 tff(117,plain,
% 6.13/4.16 (![Situation: $i] : (~answer(Situation)) <=> ![Situation: $i] : (~answer(Situation))),
% 6.13/4.16 inference(rewrite,[status(thm)],[])).
% 6.13/4.16 tff(118,axiom,(![Situation: $i] : (~answer(Situation))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_there_is_an_answer_situation')).
% 6.13/4.16 tff(119,plain,
% 6.13/4.16 (![Situation: $i] : (~answer(Situation))),
% 6.13/4.16 inference(modus_ponens,[status(thm)],[118, 117])).
% 6.13/4.16 tff(120,plain,(
% 6.13/4.16 ![Situation: $i] : (~answer(Situation))),
% 6.13/4.16 inference(skolemize,[status(sab)],[119])).
% 6.13/4.16 tff(121,plain,
% 6.13/4.16 (![Situation: $i] : (~answer(Situation))),
% 6.13/4.16 inference(modus_ponens,[status(thm)],[120, 116])).
% 6.13/4.16 tff(122,plain,
% 6.13/4.16 ((~![Situation: $i] : (~answer(Situation))) | (~answer(go(there, pick_up(go(here, let_go(let_go(now)))))))),
% 6.13/4.16 inference(quant_inst,[status(thm)],[])).
% 6.13/4.16 tff(123,plain,
% 6.13/4.16 ($false),
% 6.13/4.16 inference(unit_resolution,[status(thm)],[122, 121, 114])).
% 6.13/4.16 % SZS output end Proof
%------------------------------------------------------------------------------