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Z3---4.15.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : MSC002-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n015.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 05:17:29 AM UTC 2025

% Result   : Unsatisfiable 0.21s 0.38s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : MSC002-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Thu Jun 19 23:33:26 EDT 2025
% 0.13/0.33  % CPUTime    : 
% 0.21/0.38  % SZS status Unsatisfiable
% 0.21/0.38  % SZS output start Proof
% 0.21/0.38  tff(answer_type, type, (
% 0.21/0.38     answer: $i > $o)).
% 0.21/0.38  tff(go_type, type, (
% 0.21/0.38     go: ( $i * $i ) > $i)).
% 0.21/0.38  tff(pick_up_type, type, (
% 0.21/0.38     pick_up: $i > $i)).
% 0.21/0.38  tff(let_go_type, type, (
% 0.21/0.38     let_go: $i > $i)).
% 0.21/0.38  tff(now_type, type, (
% 0.21/0.38     now: $i)).
% 0.21/0.38  tff(here_type, type, (
% 0.21/0.38     here: $i)).
% 0.21/0.38  tff(there_type, type, (
% 0.21/0.38     there: $i)).
% 0.21/0.38  tff(put_type, type, (
% 0.21/0.38     put: ( $i * $i * $i ) > $o)).
% 0.21/0.38  tff(something_type, type, (
% 0.21/0.38     something: $i)).
% 0.21/0.38  tff(at_type, type, (
% 0.21/0.38     at: ( $i * $i * $i ) > $o)).
% 0.21/0.38  tff(held_type, type, (
% 0.21/0.38     held: ( $i * $i ) > $o)).
% 0.21/0.38  tff(grabbed_type, type, (
% 0.21/0.38     grabbed: ( $i * $i ) > $o)).
% 0.21/0.38  tff(red_type, type, (
% 0.21/0.38     red: $i > $o)).
% 0.21/0.38  tff(1,assumption,(~at(something, here, go(here, let_go(now)))), introduced(assumption)).
% 0.21/0.38  tff(2,assumption,(held(something, let_go(now))), introduced(assumption)).
% 0.21/0.38  tff(3,plain,
% 0.21/0.38      (^[Thing: $i, Situation: $i] : refl((~held(Thing, let_go(Situation))) <=> (~held(Thing, let_go(Situation))))),
% 0.21/0.38      inference(bind,[status(th)],[])).
% 0.21/0.38  tff(4,plain,
% 0.21/0.38      (![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation))) <=> ![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))),
% 0.21/0.38      inference(quant_intro,[status(thm)],[3])).
% 0.21/0.38  tff(5,plain,
% 0.21/0.38      (![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation))) <=> ![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))),
% 0.21/0.38      inference(rewrite,[status(thm)],[])).
% 0.21/0.38  tff(6,axiom,(![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cant_hold_and_let_go')).
% 0.21/0.38  tff(7,plain,
% 0.21/0.38      (![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))),
% 0.21/0.38      inference(modus_ponens,[status(thm)],[6, 5])).
% 0.21/0.38  tff(8,plain,(
% 0.21/0.38      ![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))),
% 0.21/0.38      inference(skolemize,[status(sab)],[7])).
% 0.21/0.38  tff(9,plain,
% 0.21/0.38      (![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))),
% 0.21/0.38      inference(modus_ponens,[status(thm)],[8, 4])).
% 0.21/0.38  tff(10,plain,
% 0.21/0.38      ((~![Thing: $i, Situation: $i] : (~held(Thing, let_go(Situation)))) | (~held(something, let_go(now)))),
% 0.21/0.38      inference(quant_inst,[status(thm)],[])).
% 0.21/0.38  tff(11,plain,
% 0.21/0.38      ($false),
% 0.21/0.38      inference(unit_resolution,[status(thm)],[10, 9, 2])).
% 0.21/0.38  tff(12,plain,(~held(something, let_go(now))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.38  tff(13,assumption,(~at(something, here, let_go(now))), introduced(assumption)).
% 0.21/0.38  tff(14,plain,
% 0.21/0.38      (^[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))))),
% 0.21/0.38      inference(bind,[status(th)],[])).
% 0.21/0.38  tff(15,plain,
% 0.21/0.38      (![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)))),
% 0.21/0.38      inference(quant_intro,[status(thm)],[14])).
% 0.21/0.38  tff(16,plain,
% 0.21/0.38      (![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)))),
% 0.21/0.38      inference(rewrite,[status(thm)],[])).
% 0.21/0.38  tff(17,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')).
% 0.21/0.38  tff(18,plain,
% 0.21/0.38      (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, let_go(Situation)))),
% 0.21/0.38      inference(modus_ponens,[status(thm)],[17, 16])).
% 0.21/0.38  tff(19,plain,(
% 0.21/0.38      ![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, let_go(Situation)))),
% 0.21/0.38      inference(skolemize,[status(sab)],[18])).
% 0.21/0.38  tff(20,plain,
% 0.21/0.38      (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, let_go(Situation)))),
% 0.21/0.38      inference(modus_ponens,[status(thm)],[19, 15])).
% 0.21/0.38  tff(21,plain,
% 0.21/0.38      (at(something, here, now) <=> at(something, here, now)),
% 0.21/0.38      inference(rewrite,[status(thm)],[])).
% 0.21/0.38  tff(22,axiom,(at(something, here, now)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','something_is_here_now')).
% 0.21/0.39  tff(23,plain,
% 0.21/0.39      (at(something, here, now)),
% 0.21/0.39      inference(modus_ponens,[status(thm)],[22, 21])).
% 0.21/0.39  tff(24,plain,
% 0.21/0.39      (((~![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)))),
% 0.21/0.39      inference(rewrite,[status(thm)],[])).
% 0.21/0.39  tff(25,plain,
% 0.21/0.39      ((~![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)))),
% 0.21/0.39      inference(quant_inst,[status(thm)],[])).
% 0.21/0.39  tff(26,plain,
% 0.21/0.39      ((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, let_go(Situation)))) | (~at(something, here, now)) | at(something, here, let_go(now))),
% 0.21/0.39      inference(modus_ponens,[status(thm)],[25, 24])).
% 0.21/0.39  tff(27,plain,
% 0.21/0.39      ($false),
% 0.21/0.39      inference(unit_resolution,[status(thm)],[26, 23, 20, 13])).
% 0.21/0.39  tff(28,plain,(at(something, here, let_go(now))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.39  tff(29,plain,
% 0.21/0.39      (^[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)))),
% 0.21/0.39      inference(bind,[status(th)],[])).
% 0.21/0.39  tff(30,plain,
% 0.21/0.39      (![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))),
% 0.21/0.39      inference(quant_intro,[status(thm)],[29])).
% 0.21/0.39  tff(31,plain,
% 0.21/0.39      (![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))),
% 0.21/0.39      inference(rewrite,[status(thm)],[])).
% 0.21/0.39  tff(32,plain,
% 0.21/0.39      (^[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))))),
% 0.21/0.39      inference(bind,[status(th)],[])).
% 0.21/0.39  tff(33,plain,
% 0.21/0.39      (![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))),
% 0.21/0.39      inference(quant_intro,[status(thm)],[32])).
% 0.21/0.39  tff(34,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')).
% 0.21/0.39  tff(35,plain,
% 0.21/0.39      (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, go(Another_place, Situation)) | held(Thing, Situation))),
% 0.21/0.39      inference(modus_ponens,[status(thm)],[34, 33])).
% 0.21/0.39  tff(36,plain,
% 0.21/0.39      (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, go(Another_place, Situation)) | held(Thing, Situation))),
% 0.21/0.39      inference(modus_ponens,[status(thm)],[35, 31])).
% 0.21/0.39  tff(37,plain,(
% 0.21/0.39      ![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, go(Another_place, Situation)) | held(Thing, Situation))),
% 0.21/0.39      inference(skolemize,[status(sab)],[36])).
% 0.21/0.39  tff(38,plain,
% 0.21/0.39      (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, go(Another_place, Situation)) | held(Thing, Situation))),
% 0.21/0.39      inference(modus_ponens,[status(thm)],[37, 30])).
% 0.21/0.39  tff(39,plain,
% 0.21/0.39      (((~![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(now)) | at(something, here, go(here, let_go(now))) | (~at(something, here, 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(now)) | at(something, here, go(here, let_go(now))) | (~at(something, here, let_go(now))))),
% 0.21/0.39      inference(rewrite,[status(thm)],[])).
% 0.21/0.39  tff(40,plain,
% 0.21/0.39      (((~at(something, here, let_go(now))) | at(something, here, go(here, let_go(now))) | held(something, let_go(now))) <=> (held(something, let_go(now)) | at(something, here, go(here, let_go(now))) | (~at(something, here, let_go(now))))),
% 0.21/0.39      inference(rewrite,[status(thm)],[])).
% 0.21/0.39  tff(41,plain,
% 0.21/0.39      (((~![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(now))) | at(something, here, go(here, let_go(now))) | held(something, 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(now)) | at(something, here, go(here, let_go(now))) | (~at(something, here, let_go(now)))))),
% 0.21/0.39      inference(monotonicity,[status(thm)],[40])).
% 0.21/0.39  tff(42,plain,
% 0.21/0.39      (((~![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(now))) | at(something, here, go(here, let_go(now))) | held(something, 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(now)) | at(something, here, go(here, let_go(now))) | (~at(something, here, let_go(now))))),
% 0.21/0.39      inference(transitivity,[status(thm)],[41, 39])).
% 0.21/0.39  tff(43,plain,
% 0.21/0.39      ((~![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(now))) | at(something, here, go(here, let_go(now))) | held(something, let_go(now)))),
% 0.21/0.39      inference(quant_inst,[status(thm)],[])).
% 0.21/0.39  tff(44,plain,
% 0.21/0.39      ((~![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, go(Another_place, Situation)) | held(Thing, Situation))) | held(something, let_go(now)) | at(something, here, go(here, let_go(now))) | (~at(something, here, let_go(now)))),
% 0.21/0.39      inference(modus_ponens,[status(thm)],[43, 42])).
% 0.21/0.39  tff(45,plain,
% 0.21/0.39      ($false),
% 0.21/0.39      inference(unit_resolution,[status(thm)],[44, 38, 28, 12, 1])).
% 0.21/0.39  tff(46,plain,(at(something, here, go(here, let_go(now)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.39  tff(47,assumption,(~at(something, here, pick_up(go(here, let_go(now))))), introduced(assumption)).
% 0.21/0.39  tff(48,plain,
% 0.21/0.39      (^[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))))),
% 0.21/0.39      inference(bind,[status(th)],[])).
% 0.21/0.39  tff(49,plain,
% 0.21/0.39      (![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)))),
% 0.21/0.39      inference(quant_intro,[status(thm)],[48])).
% 0.21/0.39  tff(50,plain,
% 0.21/0.39      (![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)))),
% 0.21/0.39      inference(rewrite,[status(thm)],[])).
% 0.21/0.39  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')).
% 0.21/0.39  tff(52,plain,
% 0.21/0.39      (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))),
% 0.21/0.39      inference(modus_ponens,[status(thm)],[51, 50])).
% 0.21/0.39  tff(53,plain,(
% 0.21/0.39      ![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))),
% 0.21/0.39      inference(skolemize,[status(sab)],[52])).
% 0.21/0.39  tff(54,plain,
% 0.21/0.39      (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))),
% 0.21/0.39      inference(modus_ponens,[status(thm)],[53, 49])).
% 0.21/0.39  tff(55,plain,
% 0.21/0.39      (((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))) | ((~at(something, here, go(here, let_go(now)))) | at(something, here, pick_up(go(here, 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(now)))) | at(something, here, pick_up(go(here, let_go(now)))))),
% 0.21/0.39      inference(rewrite,[status(thm)],[])).
% 0.21/0.39  tff(56,plain,
% 0.21/0.39      ((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))) | ((~at(something, here, go(here, let_go(now)))) | at(something, here, pick_up(go(here, let_go(now)))))),
% 0.21/0.39      inference(quant_inst,[status(thm)],[])).
% 0.21/0.39  tff(57,plain,
% 0.21/0.39      ((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | at(Thing, Place, pick_up(Situation)))) | (~at(something, here, go(here, let_go(now)))) | at(something, here, pick_up(go(here, let_go(now))))),
% 0.21/0.39      inference(modus_ponens,[status(thm)],[56, 55])).
% 0.21/0.39  tff(58,plain,
% 0.21/0.39      ($false),
% 0.21/0.39      inference(unit_resolution,[status(thm)],[57, 54, 47, 46])).
% 0.21/0.39  tff(59,plain,(at(something, here, pick_up(go(here, let_go(now))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.39  tff(60,plain,
% 0.21/0.39      (^[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))))))),
% 0.21/0.39      inference(bind,[status(th)],[])).
% 0.21/0.39  tff(61,plain,
% 0.21/0.39      (![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)))))),
% 0.21/0.39      inference(quant_intro,[status(thm)],[60])).
% 0.21/0.39  tff(62,plain,
% 0.21/0.39      (![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)))))),
% 0.21/0.39      inference(rewrite,[status(thm)],[])).
% 0.21/0.39  tff(63,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')).
% 0.21/0.39  tff(64,plain,
% 0.21/0.39      (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | grabbed(Thing, pick_up(go(Place, let_go(Situation)))))),
% 0.21/0.39      inference(modus_ponens,[status(thm)],[63, 62])).
% 0.21/0.39  tff(65,plain,(
% 0.21/0.39      ![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | grabbed(Thing, pick_up(go(Place, let_go(Situation)))))),
% 0.21/0.39      inference(skolemize,[status(sab)],[64])).
% 0.21/0.39  tff(66,plain,
% 0.21/0.39      (![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | grabbed(Thing, pick_up(go(Place, let_go(Situation)))))),
% 0.21/0.39      inference(modus_ponens,[status(thm)],[65, 61])).
% 0.21/0.39  tff(67,plain,
% 0.21/0.39      (((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | grabbed(Thing, pick_up(go(Place, let_go(Situation)))))) | ((~at(something, here, now)) | grabbed(something, pick_up(go(here, 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, now)) | grabbed(something, pick_up(go(here, let_go(now)))))),
% 0.21/0.39      inference(rewrite,[status(thm)],[])).
% 0.21/0.39  tff(68,plain,
% 0.21/0.39      ((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | grabbed(Thing, pick_up(go(Place, let_go(Situation)))))) | ((~at(something, here, now)) | grabbed(something, pick_up(go(here, let_go(now)))))),
% 0.21/0.39      inference(quant_inst,[status(thm)],[])).
% 0.21/0.39  tff(69,plain,
% 0.21/0.39      ((~![Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | grabbed(Thing, pick_up(go(Place, let_go(Situation)))))) | (~at(something, here, now)) | grabbed(something, pick_up(go(here, let_go(now))))),
% 0.21/0.39      inference(modus_ponens,[status(thm)],[68, 67])).
% 0.21/0.39  tff(70,plain,
% 0.21/0.39      (grabbed(something, pick_up(go(here, let_go(now))))),
% 0.21/0.39      inference(unit_resolution,[status(thm)],[69, 23, 66])).
% 0.21/0.39  tff(71,plain,
% 0.21/0.39      (^[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))))),
% 0.21/0.39      inference(bind,[status(th)],[])).
% 0.21/0.39  tff(72,plain,
% 0.21/0.39      (![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)))),
% 0.21/0.39      inference(quant_intro,[status(thm)],[71])).
% 0.21/0.39  tff(73,plain,
% 0.21/0.39      (![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)))),
% 0.21/0.39      inference(rewrite,[status(thm)],[])).
% 0.21/0.39  tff(74,plain,
% 0.21/0.39      (^[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)))))),
% 0.21/0.40      inference(bind,[status(th)],[])).
% 0.21/0.40  tff(75,plain,
% 0.21/0.40      (![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)))),
% 0.21/0.40      inference(quant_intro,[status(thm)],[74])).
% 0.21/0.40  tff(76,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')).
% 0.21/0.40  tff(77,plain,
% 0.21/0.40      (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | put(Thing, Another_place, go(Another_place, Situation)) | (~grabbed(Thing, Situation)))),
% 0.21/0.40      inference(modus_ponens,[status(thm)],[76, 75])).
% 0.21/0.40  tff(78,plain,
% 0.21/0.40      (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | put(Thing, Another_place, go(Another_place, Situation)) | (~grabbed(Thing, Situation)))),
% 0.21/0.40      inference(modus_ponens,[status(thm)],[77, 73])).
% 0.21/0.40  tff(79,plain,(
% 0.21/0.40      ![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | put(Thing, Another_place, go(Another_place, Situation)) | (~grabbed(Thing, Situation)))),
% 0.21/0.40      inference(skolemize,[status(sab)],[78])).
% 0.21/0.40  tff(80,plain,
% 0.21/0.40      (![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | put(Thing, Another_place, go(Another_place, Situation)) | (~grabbed(Thing, Situation)))),
% 0.21/0.40      inference(modus_ponens,[status(thm)],[79, 72])).
% 0.21/0.40  tff(81,plain,
% 0.21/0.40      (((~![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | put(Thing, Another_place, go(Another_place, Situation)) | (~grabbed(Thing, Situation)))) | ((~grabbed(something, pick_up(go(here, let_go(now))))) | put(something, there, go(there, pick_up(go(here, let_go(now))))) | (~at(something, here, pick_up(go(here, 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)))) | (~grabbed(something, pick_up(go(here, let_go(now))))) | put(something, there, go(there, pick_up(go(here, let_go(now))))) | (~at(something, here, pick_up(go(here, let_go(now))))))),
% 0.21/0.40      inference(rewrite,[status(thm)],[])).
% 0.21/0.40  tff(82,plain,
% 0.21/0.40      (((~at(something, here, pick_up(go(here, let_go(now))))) | put(something, there, go(there, pick_up(go(here, let_go(now))))) | (~grabbed(something, pick_up(go(here, let_go(now)))))) <=> ((~grabbed(something, pick_up(go(here, let_go(now))))) | put(something, there, go(there, pick_up(go(here, let_go(now))))) | (~at(something, here, pick_up(go(here, let_go(now))))))),
% 0.21/0.40      inference(rewrite,[status(thm)],[])).
% 0.21/0.40  tff(83,plain,
% 0.21/0.40      (((~![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(now))))) | put(something, there, go(there, pick_up(go(here, let_go(now))))) | (~grabbed(something, pick_up(go(here, 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)))) | ((~grabbed(something, pick_up(go(here, let_go(now))))) | put(something, there, go(there, pick_up(go(here, let_go(now))))) | (~at(something, here, pick_up(go(here, let_go(now)))))))),
% 0.21/0.40      inference(monotonicity,[status(thm)],[82])).
% 0.21/0.40  tff(84,plain,
% 0.21/0.40      (((~![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(now))))) | put(something, there, go(there, pick_up(go(here, let_go(now))))) | (~grabbed(something, pick_up(go(here, 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)))) | (~grabbed(something, pick_up(go(here, let_go(now))))) | put(something, there, go(there, pick_up(go(here, let_go(now))))) | (~at(something, here, pick_up(go(here, let_go(now))))))),
% 0.21/0.40      inference(transitivity,[status(thm)],[83, 81])).
% 0.21/0.40  tff(85,plain,
% 0.21/0.40      ((~![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(now))))) | put(something, there, go(there, pick_up(go(here, let_go(now))))) | (~grabbed(something, pick_up(go(here, let_go(now))))))),
% 0.21/0.40      inference(quant_inst,[status(thm)],[])).
% 0.21/0.40  tff(86,plain,
% 0.21/0.40      ((~![Another_place: $i, Thing: $i, Situation: $i, Place: $i] : ((~at(Thing, Place, Situation)) | put(Thing, Another_place, go(Another_place, Situation)) | (~grabbed(Thing, Situation)))) | (~grabbed(something, pick_up(go(here, let_go(now))))) | put(something, there, go(there, pick_up(go(here, let_go(now))))) | (~at(something, here, pick_up(go(here, let_go(now)))))),
% 0.21/0.40      inference(modus_ponens,[status(thm)],[85, 84])).
% 0.21/0.40  tff(87,plain,
% 0.21/0.40      (put(something, there, go(there, pick_up(go(here, let_go(now))))) | (~at(something, here, pick_up(go(here, let_go(now)))))),
% 0.21/0.40      inference(unit_resolution,[status(thm)],[86, 80, 70])).
% 0.21/0.40  tff(88,plain,
% 0.21/0.40      (put(something, there, go(there, pick_up(go(here, let_go(now)))))),
% 0.21/0.40      inference(unit_resolution,[status(thm)],[87, 59])).
% 0.21/0.40  tff(89,plain,
% 0.21/0.40      (^[Thing: $i, Situation: $i] : refl((red(Thing) | (~at(Thing, here, Situation))) <=> (red(Thing) | (~at(Thing, here, Situation))))),
% 0.21/0.40      inference(bind,[status(th)],[])).
% 0.21/0.40  tff(90,plain,
% 0.21/0.40      (![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation))) <=> ![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 0.21/0.40      inference(quant_intro,[status(thm)],[89])).
% 0.21/0.40  tff(91,plain,
% 0.21/0.40      (![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation))) <=> ![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 0.21/0.40      inference(rewrite,[status(thm)],[])).
% 0.21/0.40  tff(92,plain,
% 0.21/0.40      (^[Thing: $i, Situation: $i] : rewrite(((~at(Thing, here, Situation)) | red(Thing)) <=> (red(Thing) | (~at(Thing, here, Situation))))),
% 0.21/0.40      inference(bind,[status(th)],[])).
% 0.21/0.40  tff(93,plain,
% 0.21/0.40      (![Thing: $i, Situation: $i] : ((~at(Thing, here, Situation)) | red(Thing)) <=> ![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 0.21/0.40      inference(quant_intro,[status(thm)],[92])).
% 0.21/0.40  tff(94,axiom,(![Thing: $i, Situation: $i] : ((~at(Thing, here, Situation)) | red(Thing))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','everything_is_red')).
% 0.21/0.40  tff(95,plain,
% 0.21/0.40      (![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 0.21/0.40      inference(modus_ponens,[status(thm)],[94, 93])).
% 0.21/0.40  tff(96,plain,
% 0.21/0.40      (![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 0.21/0.40      inference(modus_ponens,[status(thm)],[95, 91])).
% 0.21/0.40  tff(97,plain,(
% 0.21/0.40      ![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 0.21/0.40      inference(skolemize,[status(sab)],[96])).
% 0.21/0.40  tff(98,plain,
% 0.21/0.40      (![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))),
% 0.21/0.40      inference(modus_ponens,[status(thm)],[97, 90])).
% 0.21/0.40  tff(99,plain,
% 0.21/0.40      (((~![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)))),
% 0.21/0.40      inference(rewrite,[status(thm)],[])).
% 0.21/0.40  tff(100,plain,
% 0.21/0.40      ((~![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))) | (red(something) | (~at(something, here, now)))),
% 0.21/0.40      inference(quant_inst,[status(thm)],[])).
% 0.21/0.40  tff(101,plain,
% 0.21/0.40      ((~![Thing: $i, Situation: $i] : (red(Thing) | (~at(Thing, here, Situation)))) | red(something) | (~at(something, here, now))),
% 0.21/0.40      inference(modus_ponens,[status(thm)],[100, 99])).
% 0.21/0.40  tff(102,plain,
% 0.21/0.40      (red(something)),
% 0.21/0.40      inference(unit_resolution,[status(thm)],[101, 23, 98])).
% 0.21/0.40  tff(103,plain,
% 0.21/0.40      (^[Thing: $i, Situation: $i] : refl((answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing))) <=> (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing))))),
% 0.21/0.40      inference(bind,[status(th)],[])).
% 0.21/0.40  tff(104,plain,
% 0.21/0.40      (![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing))) <=> ![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 0.21/0.40      inference(quant_intro,[status(thm)],[103])).
% 0.21/0.40  tff(105,plain,
% 0.21/0.40      (![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing))) <=> ![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 0.21/0.40      inference(rewrite,[status(thm)],[])).
% 0.21/0.40  tff(106,plain,
% 0.21/0.40      (^[Thing: $i, Situation: $i] : rewrite((((~red(Thing)) | (~put(Thing, there, Situation))) | answer(Situation)) <=> (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing))))),
% 0.21/0.40      inference(bind,[status(th)],[])).
% 0.21/0.40  tff(107,plain,
% 0.21/0.40      (![Thing: $i, Situation: $i] : (((~red(Thing)) | (~put(Thing, there, Situation))) | answer(Situation)) <=> ![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 0.21/0.40      inference(quant_intro,[status(thm)],[106])).
% 0.21/0.40  tff(108,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')).
% 0.21/0.40  tff(109,plain,
% 0.21/0.40      (![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 0.21/0.40      inference(modus_ponens,[status(thm)],[108, 107])).
% 0.21/0.40  tff(110,plain,
% 0.21/0.40      (![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 0.21/0.40      inference(modus_ponens,[status(thm)],[109, 105])).
% 0.21/0.40  tff(111,plain,(
% 0.21/0.40      ![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 0.21/0.40      inference(skolemize,[status(sab)],[110])).
% 0.21/0.40  tff(112,plain,
% 0.21/0.40      (![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))),
% 0.21/0.40      inference(modus_ponens,[status(thm)],[111, 104])).
% 0.21/0.40  tff(113,plain,
% 0.21/0.40      (((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | (answer(go(there, pick_up(go(here, let_go(now))))) | (~red(something)) | (~put(something, there, go(there, pick_up(go(here, let_go(now)))))))) <=> ((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | answer(go(there, pick_up(go(here, let_go(now))))) | (~red(something)) | (~put(something, there, go(there, pick_up(go(here, let_go(now)))))))),
% 0.21/0.40      inference(rewrite,[status(thm)],[])).
% 0.21/0.40  tff(114,plain,
% 0.21/0.40      ((answer(go(there, pick_up(go(here, let_go(now))))) | (~put(something, there, go(there, pick_up(go(here, let_go(now)))))) | (~red(something))) <=> (answer(go(there, pick_up(go(here, let_go(now))))) | (~red(something)) | (~put(something, there, go(there, pick_up(go(here, let_go(now)))))))),
% 0.21/0.40      inference(rewrite,[status(thm)],[])).
% 0.21/0.40  tff(115,plain,
% 0.21/0.40      (((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | (answer(go(there, pick_up(go(here, let_go(now))))) | (~put(something, there, go(there, pick_up(go(here, let_go(now)))))) | (~red(something)))) <=> ((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | (answer(go(there, pick_up(go(here, let_go(now))))) | (~red(something)) | (~put(something, there, go(there, pick_up(go(here, let_go(now))))))))),
% 0.21/0.40      inference(monotonicity,[status(thm)],[114])).
% 0.21/0.40  tff(116,plain,
% 0.21/0.40      (((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | (answer(go(there, pick_up(go(here, let_go(now))))) | (~put(something, there, go(there, pick_up(go(here, let_go(now)))))) | (~red(something)))) <=> ((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | answer(go(there, pick_up(go(here, let_go(now))))) | (~red(something)) | (~put(something, there, go(there, pick_up(go(here, let_go(now)))))))),
% 0.21/0.40      inference(transitivity,[status(thm)],[115, 113])).
% 0.21/0.40  tff(117,plain,
% 0.21/0.40      ((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | (answer(go(there, pick_up(go(here, let_go(now))))) | (~put(something, there, go(there, pick_up(go(here, let_go(now)))))) | (~red(something)))),
% 0.21/0.40      inference(quant_inst,[status(thm)],[])).
% 0.21/0.40  tff(118,plain,
% 0.21/0.40      ((~![Thing: $i, Situation: $i] : (answer(Situation) | (~put(Thing, there, Situation)) | (~red(Thing)))) | answer(go(there, pick_up(go(here, let_go(now))))) | (~red(something)) | (~put(something, there, go(there, pick_up(go(here, let_go(now))))))),
% 0.21/0.40      inference(modus_ponens,[status(thm)],[117, 116])).
% 0.21/0.40  tff(119,plain,
% 0.21/0.40      (answer(go(there, pick_up(go(here, let_go(now)))))),
% 0.21/0.40      inference(unit_resolution,[status(thm)],[118, 112, 102, 88])).
% 0.21/0.40  tff(120,plain,
% 0.21/0.40      (^[Situation: $i] : refl((~answer(Situation)) <=> (~answer(Situation)))),
% 0.21/0.40      inference(bind,[status(th)],[])).
% 0.21/0.40  tff(121,plain,
% 0.21/0.40      (![Situation: $i] : (~answer(Situation)) <=> ![Situation: $i] : (~answer(Situation))),
% 0.21/0.40      inference(quant_intro,[status(thm)],[120])).
% 0.21/0.40  tff(122,plain,
% 0.21/0.40      (![Situation: $i] : (~answer(Situation)) <=> ![Situation: $i] : (~answer(Situation))),
% 0.21/0.40      inference(rewrite,[status(thm)],[])).
% 0.21/0.40  tff(123,axiom,(![Situation: $i] : (~answer(Situation))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_there_is_an_answer_situation')).
% 0.21/0.40  tff(124,plain,
% 0.21/0.40      (![Situation: $i] : (~answer(Situation))),
% 0.21/0.40      inference(modus_ponens,[status(thm)],[123, 122])).
% 0.21/0.40  tff(125,plain,(
% 0.21/0.40      ![Situation: $i] : (~answer(Situation))),
% 0.21/0.40      inference(skolemize,[status(sab)],[124])).
% 0.21/0.40  tff(126,plain,
% 0.21/0.40      (![Situation: $i] : (~answer(Situation))),
% 0.21/0.40      inference(modus_ponens,[status(thm)],[125, 121])).
% 0.21/0.40  tff(127,plain,
% 0.21/0.40      ((~![Situation: $i] : (~answer(Situation))) | (~answer(go(there, pick_up(go(here, let_go(now))))))),
% 0.21/0.40      inference(quant_inst,[status(thm)],[])).
% 0.21/0.40  tff(128,plain,
% 0.21/0.40      ($false),
% 0.21/0.40      inference(unit_resolution,[status(thm)],[127, 126, 119])).
% 0.21/0.40  % SZS output end Proof
% 0.21/0.41  % E exiting
%------------------------------------------------------------------------------