TSTP Solution File: PUZ031_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PUZ031_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n012.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 14:10:58 EDT 2022
% Result : Theorem 0.21s 0.43s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ031_1 : TPTP v8.1.0. Released v5.0.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n012.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 18:21:34 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.
% 0.21/0.43 % SZS status Theorem
% 0.21/0.43 % SZS output start Proof
% 0.21/0.43 tff(eats_type, type, (
% 0.21/0.43 eats: ( animal * edible ) > $o)).
% 0.21/0.43 tff(animal_to_edible_type, type, (
% 0.21/0.43 animal_to_edible: animal > edible)).
% 0.21/0.43 tff(snail_to_animal_type, type, (
% 0.21/0.43 snail_to_animal: snail > animal)).
% 0.21/0.43 tff(elem_5_type, type, (
% 0.21/0.43 elem_5: snail)).
% 0.21/0.43 tff(bird_to_animal_type, type, (
% 0.21/0.43 bird_to_animal: bird > animal)).
% 0.21/0.43 tff(elem_4_type, type, (
% 0.21/0.43 elem_4: bird)).
% 0.21/0.43 tff(plant_to_edible_type, type, (
% 0.21/0.43 plant_to_edible: plant > edible)).
% 0.21/0.43 tff(grain_to_plant_type, type, (
% 0.21/0.43 grain_to_plant: grain > plant)).
% 0.21/0.43 tff(elem_172_type, type, (
% 0.21/0.43 elem_172: grain)).
% 0.21/0.43 tff(tptp_fun_Y_1_type, type, (
% 0.21/0.43 tptp_fun_Y_1: snail > plant)).
% 0.21/0.43 tff(much_smaller_type, type, (
% 0.21/0.43 much_smaller: ( animal * animal ) > $o)).
% 0.21/0.43 tff(fox_to_animal_type, type, (
% 0.21/0.43 fox_to_animal: fox > animal)).
% 0.21/0.43 tff(elem_7_type, type, (
% 0.21/0.43 elem_7: fox)).
% 0.21/0.43 tff(tptp_fun_Y_0_type, type, (
% 0.21/0.43 tptp_fun_Y_0: caterpillar > plant)).
% 0.21/0.43 tff(elem_6_type, type, (
% 0.21/0.43 elem_6: caterpillar)).
% 0.21/0.43 tff(wolf_to_animal_type, type, (
% 0.21/0.43 wolf_to_animal: wolf > animal)).
% 0.21/0.43 tff(elem_8_type, type, (
% 0.21/0.43 elem_8: wolf)).
% 0.21/0.43 tff(1,assumption,(~eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5)))), introduced(assumption)).
% 0.21/0.43 tff(2,assumption,(~eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172)))), introduced(assumption)).
% 0.21/0.43 tff(3,plain,
% 0.21/0.43 (^[X: snail] : refl(eats(snail_to_animal(X), plant_to_edible(tptp_fun_Y_1(X))) <=> eats(snail_to_animal(X), plant_to_edible(tptp_fun_Y_1(X))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(4,plain,
% 0.21/0.43 (![X: snail] : eats(snail_to_animal(X), plant_to_edible(tptp_fun_Y_1(X))) <=> ![X: snail] : eats(snail_to_animal(X), plant_to_edible(tptp_fun_Y_1(X)))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[3])).
% 0.21/0.43 tff(5,plain,
% 0.21/0.43 (![X: snail] : ?[Y: plant] : eats(snail_to_animal(X), plant_to_edible(Y)) <=> ![X: snail] : ?[Y: plant] : eats(snail_to_animal(X), plant_to_edible(Y))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(6,axiom,(![X: snail] : ?[Y: plant] : eats(snail_to_animal(X), plant_to_edible(Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel47_14a')).
% 0.21/0.43 tff(7,plain,
% 0.21/0.43 (![X: snail] : ?[Y: plant] : eats(snail_to_animal(X), plant_to_edible(Y))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.21/0.43 tff(8,plain,(
% 0.21/0.43 ![X: snail] : eats(snail_to_animal(X), plant_to_edible(tptp_fun_Y_1(X)))),
% 0.21/0.43 inference(skolemize,[status(sab)],[7])).
% 0.21/0.43 tff(9,plain,
% 0.21/0.43 (![X: snail] : eats(snail_to_animal(X), plant_to_edible(tptp_fun_Y_1(X)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.21/0.43 tff(10,plain,
% 0.21/0.43 ((~![X: snail] : eats(snail_to_animal(X), plant_to_edible(tptp_fun_Y_1(X)))) | eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(11,plain,
% 0.21/0.43 (eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[10, 9])).
% 0.21/0.43 tff(12,plain,
% 0.21/0.43 (^[X: snail, Y: bird] : refl(much_smaller(snail_to_animal(X), bird_to_animal(Y)) <=> much_smaller(snail_to_animal(X), bird_to_animal(Y)))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(13,plain,
% 0.21/0.43 (![X: snail, Y: bird] : much_smaller(snail_to_animal(X), bird_to_animal(Y)) <=> ![X: snail, Y: bird] : much_smaller(snail_to_animal(X), bird_to_animal(Y))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[12])).
% 0.21/0.43 tff(14,plain,
% 0.21/0.43 (![X: snail, Y: bird] : much_smaller(snail_to_animal(X), bird_to_animal(Y)) <=> ![X: snail, Y: bird] : much_smaller(snail_to_animal(X), bird_to_animal(Y))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(15,axiom,(![X: snail, Y: bird] : much_smaller(snail_to_animal(X), bird_to_animal(Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel47_8')).
% 0.21/0.43 tff(16,plain,
% 0.21/0.43 (![X: snail, Y: bird] : much_smaller(snail_to_animal(X), bird_to_animal(Y))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.21/0.43 tff(17,plain,(
% 0.21/0.43 ![X: snail, Y: bird] : much_smaller(snail_to_animal(X), bird_to_animal(Y))),
% 0.21/0.43 inference(skolemize,[status(sab)],[16])).
% 0.21/0.43 tff(18,plain,
% 0.21/0.43 (![X: snail, Y: bird] : much_smaller(snail_to_animal(X), bird_to_animal(Y))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.21/0.43 tff(19,plain,
% 0.21/0.43 ((~![X: snail, Y: bird] : much_smaller(snail_to_animal(X), bird_to_animal(Y))) | much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(20,plain,
% 0.21/0.43 (much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[19, 18])).
% 0.21/0.43 tff(21,plain,
% 0.21/0.43 (^[X: animal, Y1: animal, Z: plant, Y: plant] : trans(monotonicity(rewrite((eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z)))) <=> (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))), ((eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) <=> (eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))))), rewrite((eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) <=> (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))), ((eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) <=> (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(22,plain,
% 0.21/0.43 (![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) <=> ![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[21])).
% 0.21/0.43 tff(23,plain,
% 0.21/0.43 (^[X: animal, Y1: animal, Z: plant, Y: plant] : refl((eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) <=> (eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(24,plain,
% 0.21/0.43 (![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) <=> ![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z)))))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[23])).
% 0.21/0.43 tff(25,plain,
% 0.21/0.43 (![X: animal] : ![Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) <=> ![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z)))))),
% 0.21/0.43 inference(pull_quant,[status(thm)],[])).
% 0.21/0.43 tff(26,plain,
% 0.21/0.43 (^[X: animal] : trans(monotonicity(trans(quant_intro(proof_bind(^[Y1: animal] : pull_quant((eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z)))) <=> ![Z: plant] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z)))))), (![Y1: animal] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z)))) <=> ![Y1: animal] : ![Z: plant] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z)))))), pull_quant(![Y1: animal] : ![Z: plant] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z)))) <=> ![Y1: animal, Z: plant] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))), (![Y1: animal] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z)))) <=> ![Y1: animal, Z: plant] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z)))))), ((![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z))))) <=> (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal, Z: plant] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))))), pull_quant((![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal, Z: plant] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) <=> ![Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z)))))), ((![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z))))) <=> ![Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z)))))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(27,plain,
% 0.21/0.43 (![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z))))) <=> ![X: animal] : ![Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z)))))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[26])).
% 0.21/0.43 tff(28,plain,
% 0.21/0.43 (![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z))))) <=> ![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z)))))),
% 0.21/0.43 inference(transitivity,[status(thm)],[27, 25])).
% 0.21/0.43 tff(29,plain,
% 0.21/0.43 (![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z))))) <=> ![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z)))))),
% 0.21/0.43 inference(transitivity,[status(thm)],[28, 24])).
% 0.21/0.43 tff(30,plain,
% 0.21/0.43 (^[X: animal] : rewrite((![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z))))) <=> (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z))))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(31,plain,
% 0.21/0.43 (![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z))))) <=> ![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z)))))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[30])).
% 0.21/0.43 tff(32,plain,
% 0.21/0.43 (![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z))))) <=> ![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z)))))),
% 0.21/0.43 inference(transitivity,[status(thm)],[31, 29])).
% 0.21/0.43 tff(33,plain,
% 0.21/0.43 (^[X: animal] : rewrite((![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : (((~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z)))) | eats(X, animal_to_edible(Y1)))) <=> (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z))))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(34,plain,
% 0.21/0.44 (![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : (((~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z)))) | eats(X, animal_to_edible(Y1)))) <=> ![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z)))))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[33])).
% 0.21/0.44 tff(35,plain,
% 0.21/0.44 (![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : ((~(much_smaller(Y1, X) & ?[Z: plant] : eats(Y1, plant_to_edible(Z)))) | eats(X, animal_to_edible(Y1)))) <=> ![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : ((~(much_smaller(Y1, X) & ?[Z: plant] : eats(Y1, plant_to_edible(Z)))) | eats(X, animal_to_edible(Y1))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(36,plain,
% 0.21/0.44 (^[X: animal] : rewrite((![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : ((much_smaller(Y1, X) & ?[Z: plant] : eats(Y1, plant_to_edible(Z))) => eats(X, animal_to_edible(Y1)))) <=> (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : ((~(much_smaller(Y1, X) & ?[Z: plant] : eats(Y1, plant_to_edible(Z)))) | eats(X, animal_to_edible(Y1)))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(37,plain,
% 0.21/0.44 (![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : ((much_smaller(Y1, X) & ?[Z: plant] : eats(Y1, plant_to_edible(Z))) => eats(X, animal_to_edible(Y1)))) <=> ![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : ((~(much_smaller(Y1, X) & ?[Z: plant] : eats(Y1, plant_to_edible(Z)))) | eats(X, animal_to_edible(Y1))))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[36])).
% 0.21/0.44 tff(38,axiom,(![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : ((much_smaller(Y1, X) & ?[Z: plant] : eats(Y1, plant_to_edible(Z))) => eats(X, animal_to_edible(Y1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel47_7')).
% 0.21/0.44 tff(39,plain,
% 0.21/0.44 (![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : ((~(much_smaller(Y1, X) & ?[Z: plant] : eats(Y1, plant_to_edible(Z)))) | eats(X, animal_to_edible(Y1))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.21/0.44 tff(40,plain,
% 0.21/0.44 (![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : ((~(much_smaller(Y1, X) & ?[Z: plant] : eats(Y1, plant_to_edible(Z)))) | eats(X, animal_to_edible(Y1))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.21/0.44 tff(41,plain,(
% 0.21/0.44 ![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : (((~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z)))) | eats(X, animal_to_edible(Y1))))),
% 0.21/0.44 inference(skolemize,[status(sab)],[40])).
% 0.21/0.44 tff(42,plain,
% 0.21/0.44 (![X: animal] : (![Y: plant] : eats(X, plant_to_edible(Y)) | ![Y1: animal] : (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | ![Z: plant] : (~eats(Y1, plant_to_edible(Z)))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[41, 34])).
% 0.21/0.44 tff(43,plain,
% 0.21/0.44 (![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | (eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z)))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[42, 32])).
% 0.21/0.44 tff(44,plain,
% 0.21/0.44 (![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[43, 22])).
% 0.21/0.44 tff(45,plain,
% 0.21/0.44 (((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))) | eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172))))) <=> ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))) | eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(46,plain,
% 0.21/0.44 ((eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172))) | eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5))))) <=> (eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))) | eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(47,plain,
% 0.21/0.44 (((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172))) | eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))))) <=> ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))) | eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172)))))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[46])).
% 0.21/0.44 tff(48,plain,
% 0.21/0.44 (((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172))) | eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))))) <=> ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))) | eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172))))),
% 0.21/0.44 inference(transitivity,[status(thm)],[47, 45])).
% 0.21/0.44 tff(49,plain,
% 0.21/0.44 ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172))) | eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(50,plain,
% 0.21/0.44 ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))) | eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.21/0.44 tff(51,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[50, 44, 20, 11, 1, 2])).
% 0.21/0.44 tff(52,plain,(eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172))) | eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(53,plain,
% 0.21/0.44 (eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172)))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[52, 1])).
% 0.21/0.44 tff(54,plain,
% 0.21/0.44 (((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))))) <=> ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(55,plain,
% 0.21/0.44 ((eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6))) | eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5))))) <=> (eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(56,plain,
% 0.21/0.44 (((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6))) | eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))))) <=> ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4)))))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[55])).
% 0.21/0.44 tff(57,plain,
% 0.21/0.44 (((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6))) | eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))))) <=> ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))))),
% 0.21/0.44 inference(transitivity,[status(thm)],[56, 54])).
% 0.21/0.44 tff(58,plain,
% 0.21/0.44 ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6))) | eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(59,plain,
% 0.21/0.44 ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6))) | (~eats(snail_to_animal(elem!5), plant_to_edible(tptp_fun_Y_1(elem!5)))) | (~much_smaller(snail_to_animal(elem!5), bird_to_animal(elem!4)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.21/0.44 tff(60,plain,
% 0.21/0.44 (eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))) | eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6)))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[59, 44, 20, 11])).
% 0.21/0.44 tff(61,plain,
% 0.21/0.44 (eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6)))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[60, 1])).
% 0.21/0.44 tff(62,assumption,(eats(wolf_to_animal(elem!8), plant_to_edible(grain_to_plant(elem!172)))), introduced(assumption)).
% 0.21/0.44 tff(63,plain,
% 0.21/0.44 (^[X: wolf, Y: grain] : refl((~eats(wolf_to_animal(X), plant_to_edible(grain_to_plant(Y)))) <=> (~eats(wolf_to_animal(X), plant_to_edible(grain_to_plant(Y)))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(64,plain,
% 0.21/0.44 (![X: wolf, Y: grain] : (~eats(wolf_to_animal(X), plant_to_edible(grain_to_plant(Y)))) <=> ![X: wolf, Y: grain] : (~eats(wolf_to_animal(X), plant_to_edible(grain_to_plant(Y))))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[63])).
% 0.21/0.44 tff(65,plain,
% 0.21/0.44 (![X: wolf, Y: grain] : (~eats(wolf_to_animal(X), plant_to_edible(grain_to_plant(Y)))) <=> ![X: wolf, Y: grain] : (~eats(wolf_to_animal(X), plant_to_edible(grain_to_plant(Y))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(66,axiom,(![X: wolf, Y: grain] : (~eats(wolf_to_animal(X), plant_to_edible(grain_to_plant(Y))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel47_11a')).
% 0.21/0.44 tff(67,plain,
% 0.21/0.44 (![X: wolf, Y: grain] : (~eats(wolf_to_animal(X), plant_to_edible(grain_to_plant(Y))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.21/0.44 tff(68,plain,(
% 0.21/0.44 ![X: wolf, Y: grain] : (~eats(wolf_to_animal(X), plant_to_edible(grain_to_plant(Y))))),
% 0.21/0.44 inference(skolemize,[status(sab)],[67])).
% 0.21/0.44 tff(69,plain,
% 0.21/0.44 (![X: wolf, Y: grain] : (~eats(wolf_to_animal(X), plant_to_edible(grain_to_plant(Y))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[68, 64])).
% 0.21/0.44 tff(70,plain,
% 0.21/0.44 ((~![X: wolf, Y: grain] : (~eats(wolf_to_animal(X), plant_to_edible(grain_to_plant(Y))))) | (~eats(wolf_to_animal(elem!8), plant_to_edible(grain_to_plant(elem!172))))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(71,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[70, 69, 62])).
% 0.21/0.44 tff(72,plain,(~eats(wolf_to_animal(elem!8), plant_to_edible(grain_to_plant(elem!172)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(73,assumption,(eats(wolf_to_animal(elem!8), animal_to_edible(fox_to_animal(elem!7)))), introduced(assumption)).
% 0.21/0.44 tff(74,plain,
% 0.21/0.44 (^[X: wolf, Y: fox] : refl((~eats(wolf_to_animal(X), animal_to_edible(fox_to_animal(Y)))) <=> (~eats(wolf_to_animal(X), animal_to_edible(fox_to_animal(Y)))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(75,plain,
% 0.21/0.44 (![X: wolf, Y: fox] : (~eats(wolf_to_animal(X), animal_to_edible(fox_to_animal(Y)))) <=> ![X: wolf, Y: fox] : (~eats(wolf_to_animal(X), animal_to_edible(fox_to_animal(Y))))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[74])).
% 0.21/0.44 tff(76,plain,
% 0.21/0.44 (![X: wolf, Y: fox] : (~eats(wolf_to_animal(X), animal_to_edible(fox_to_animal(Y)))) <=> ![X: wolf, Y: fox] : (~eats(wolf_to_animal(X), animal_to_edible(fox_to_animal(Y))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(77,axiom,(![X: wolf, Y: fox] : (~eats(wolf_to_animal(X), animal_to_edible(fox_to_animal(Y))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel47_11')).
% 0.21/0.45 tff(78,plain,
% 0.21/0.45 (![X: wolf, Y: fox] : (~eats(wolf_to_animal(X), animal_to_edible(fox_to_animal(Y))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.21/0.45 tff(79,plain,(
% 0.21/0.45 ![X: wolf, Y: fox] : (~eats(wolf_to_animal(X), animal_to_edible(fox_to_animal(Y))))),
% 0.21/0.45 inference(skolemize,[status(sab)],[78])).
% 0.21/0.45 tff(80,plain,
% 0.21/0.45 (![X: wolf, Y: fox] : (~eats(wolf_to_animal(X), animal_to_edible(fox_to_animal(Y))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[79, 75])).
% 0.21/0.45 tff(81,plain,
% 0.21/0.45 ((~![X: wolf, Y: fox] : (~eats(wolf_to_animal(X), animal_to_edible(fox_to_animal(Y))))) | (~eats(wolf_to_animal(elem!8), animal_to_edible(fox_to_animal(elem!7))))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(82,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[81, 80, 73])).
% 0.21/0.45 tff(83,plain,(~eats(wolf_to_animal(elem!8), animal_to_edible(fox_to_animal(elem!7)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(84,plain,
% 0.21/0.45 (^[X: fox, Y: wolf] : refl(much_smaller(fox_to_animal(X), wolf_to_animal(Y)) <=> much_smaller(fox_to_animal(X), wolf_to_animal(Y)))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(85,plain,
% 0.21/0.45 (![X: fox, Y: wolf] : much_smaller(fox_to_animal(X), wolf_to_animal(Y)) <=> ![X: fox, Y: wolf] : much_smaller(fox_to_animal(X), wolf_to_animal(Y))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[84])).
% 0.21/0.45 tff(86,plain,
% 0.21/0.45 (![X: fox, Y: wolf] : much_smaller(fox_to_animal(X), wolf_to_animal(Y)) <=> ![X: fox, Y: wolf] : much_smaller(fox_to_animal(X), wolf_to_animal(Y))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(87,axiom,(![X: fox, Y: wolf] : much_smaller(fox_to_animal(X), wolf_to_animal(Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel47_10')).
% 0.21/0.45 tff(88,plain,
% 0.21/0.45 (![X: fox, Y: wolf] : much_smaller(fox_to_animal(X), wolf_to_animal(Y))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.21/0.45 tff(89,plain,(
% 0.21/0.45 ![X: fox, Y: wolf] : much_smaller(fox_to_animal(X), wolf_to_animal(Y))),
% 0.21/0.45 inference(skolemize,[status(sab)],[88])).
% 0.21/0.45 tff(90,plain,
% 0.21/0.45 (![X: fox, Y: wolf] : much_smaller(fox_to_animal(X), wolf_to_animal(Y))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[89, 85])).
% 0.21/0.45 tff(91,plain,
% 0.21/0.45 ((~![X: fox, Y: wolf] : much_smaller(fox_to_animal(X), wolf_to_animal(Y))) | much_smaller(fox_to_animal(elem!7), wolf_to_animal(elem!8))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(92,plain,
% 0.21/0.45 (much_smaller(fox_to_animal(elem!7), wolf_to_animal(elem!8))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[91, 90])).
% 0.21/0.45 tff(93,plain,
% 0.21/0.45 (((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(wolf_to_animal(elem!8), animal_to_edible(fox_to_animal(elem!7))) | (~much_smaller(fox_to_animal(elem!7), wolf_to_animal(elem!8))) | (~eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5)))) | eats(wolf_to_animal(elem!8), plant_to_edible(grain_to_plant(elem!172))))) <=> ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | eats(wolf_to_animal(elem!8), animal_to_edible(fox_to_animal(elem!7))) | (~much_smaller(fox_to_animal(elem!7), wolf_to_animal(elem!8))) | (~eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5)))) | eats(wolf_to_animal(elem!8), plant_to_edible(grain_to_plant(elem!172))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(94,plain,
% 0.21/0.45 ((eats(wolf_to_animal(elem!8), plant_to_edible(grain_to_plant(elem!172))) | eats(wolf_to_animal(elem!8), animal_to_edible(fox_to_animal(elem!7))) | (~much_smaller(fox_to_animal(elem!7), wolf_to_animal(elem!8))) | (~eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5))))) <=> (eats(wolf_to_animal(elem!8), animal_to_edible(fox_to_animal(elem!7))) | (~much_smaller(fox_to_animal(elem!7), wolf_to_animal(elem!8))) | (~eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5)))) | eats(wolf_to_animal(elem!8), plant_to_edible(grain_to_plant(elem!172))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(95,plain,
% 0.21/0.45 (((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(wolf_to_animal(elem!8), plant_to_edible(grain_to_plant(elem!172))) | eats(wolf_to_animal(elem!8), animal_to_edible(fox_to_animal(elem!7))) | (~much_smaller(fox_to_animal(elem!7), wolf_to_animal(elem!8))) | (~eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5)))))) <=> ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(wolf_to_animal(elem!8), animal_to_edible(fox_to_animal(elem!7))) | (~much_smaller(fox_to_animal(elem!7), wolf_to_animal(elem!8))) | (~eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5)))) | eats(wolf_to_animal(elem!8), plant_to_edible(grain_to_plant(elem!172)))))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[94])).
% 0.21/0.45 tff(96,plain,
% 0.21/0.45 (((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(wolf_to_animal(elem!8), plant_to_edible(grain_to_plant(elem!172))) | eats(wolf_to_animal(elem!8), animal_to_edible(fox_to_animal(elem!7))) | (~much_smaller(fox_to_animal(elem!7), wolf_to_animal(elem!8))) | (~eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5)))))) <=> ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | eats(wolf_to_animal(elem!8), animal_to_edible(fox_to_animal(elem!7))) | (~much_smaller(fox_to_animal(elem!7), wolf_to_animal(elem!8))) | (~eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5)))) | eats(wolf_to_animal(elem!8), plant_to_edible(grain_to_plant(elem!172))))),
% 0.21/0.45 inference(transitivity,[status(thm)],[95, 93])).
% 0.21/0.45 tff(97,plain,
% 0.21/0.45 ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(wolf_to_animal(elem!8), plant_to_edible(grain_to_plant(elem!172))) | eats(wolf_to_animal(elem!8), animal_to_edible(fox_to_animal(elem!7))) | (~much_smaller(fox_to_animal(elem!7), wolf_to_animal(elem!8))) | (~eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5)))))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(98,plain,
% 0.21/0.45 ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | eats(wolf_to_animal(elem!8), animal_to_edible(fox_to_animal(elem!7))) | (~much_smaller(fox_to_animal(elem!7), wolf_to_animal(elem!8))) | (~eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5)))) | eats(wolf_to_animal(elem!8), plant_to_edible(grain_to_plant(elem!172)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[97, 96])).
% 0.21/0.45 tff(99,plain,
% 0.21/0.45 ((~eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5)))) | eats(wolf_to_animal(elem!8), plant_to_edible(grain_to_plant(elem!172)))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[98, 44, 92, 83])).
% 0.21/0.45 tff(100,plain,
% 0.21/0.45 (~eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5)))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[99, 72])).
% 0.21/0.45 tff(101,plain,
% 0.21/0.45 (^[X: bird, Y: fox] : refl(much_smaller(bird_to_animal(X), fox_to_animal(Y)) <=> much_smaller(bird_to_animal(X), fox_to_animal(Y)))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(102,plain,
% 0.21/0.45 (![X: bird, Y: fox] : much_smaller(bird_to_animal(X), fox_to_animal(Y)) <=> ![X: bird, Y: fox] : much_smaller(bird_to_animal(X), fox_to_animal(Y))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[101])).
% 0.21/0.45 tff(103,plain,
% 0.21/0.45 (![X: bird, Y: fox] : much_smaller(bird_to_animal(X), fox_to_animal(Y)) <=> ![X: bird, Y: fox] : much_smaller(bird_to_animal(X), fox_to_animal(Y))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(104,axiom,(![X: bird, Y: fox] : much_smaller(bird_to_animal(X), fox_to_animal(Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel47_9')).
% 0.21/0.45 tff(105,plain,
% 0.21/0.45 (![X: bird, Y: fox] : much_smaller(bird_to_animal(X), fox_to_animal(Y))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.21/0.45 tff(106,plain,(
% 0.21/0.45 ![X: bird, Y: fox] : much_smaller(bird_to_animal(X), fox_to_animal(Y))),
% 0.21/0.45 inference(skolemize,[status(sab)],[105])).
% 0.21/0.45 tff(107,plain,
% 0.21/0.45 (![X: bird, Y: fox] : much_smaller(bird_to_animal(X), fox_to_animal(Y))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[106, 102])).
% 0.21/0.45 tff(108,plain,
% 0.21/0.45 ((~![X: bird, Y: fox] : much_smaller(bird_to_animal(X), fox_to_animal(Y))) | much_smaller(bird_to_animal(elem!4), fox_to_animal(elem!7))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(109,plain,
% 0.21/0.45 (much_smaller(bird_to_animal(elem!4), fox_to_animal(elem!7))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[108, 107])).
% 0.21/0.45 tff(110,plain,
% 0.21/0.45 (((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | ((~much_smaller(bird_to_animal(elem!4), fox_to_animal(elem!7))) | (~eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6)))) | eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5))) | eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4))))) <=> ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (~much_smaller(bird_to_animal(elem!4), fox_to_animal(elem!7))) | (~eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6)))) | eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5))) | eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(111,plain,
% 0.21/0.45 ((eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5))) | eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4))) | (~much_smaller(bird_to_animal(elem!4), fox_to_animal(elem!7))) | (~eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6))))) <=> ((~much_smaller(bird_to_animal(elem!4), fox_to_animal(elem!7))) | (~eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6)))) | eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5))) | eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(112,plain,
% 0.21/0.45 (((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5))) | eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4))) | (~much_smaller(bird_to_animal(elem!4), fox_to_animal(elem!7))) | (~eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6)))))) <=> ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | ((~much_smaller(bird_to_animal(elem!4), fox_to_animal(elem!7))) | (~eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6)))) | eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5))) | eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4)))))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[111])).
% 0.21/0.45 tff(113,plain,
% 0.21/0.45 (((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5))) | eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4))) | (~much_smaller(bird_to_animal(elem!4), fox_to_animal(elem!7))) | (~eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6)))))) <=> ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (~much_smaller(bird_to_animal(elem!4), fox_to_animal(elem!7))) | (~eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6)))) | eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5))) | eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4))))),
% 0.21/0.45 inference(transitivity,[status(thm)],[112, 110])).
% 0.21/0.45 tff(114,plain,
% 0.21/0.45 ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5))) | eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4))) | (~much_smaller(bird_to_animal(elem!4), fox_to_animal(elem!7))) | (~eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6)))))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(115,plain,
% 0.21/0.45 ((~![X: animal, Y1: animal, Z: plant, Y: plant] : (eats(X, plant_to_edible(Y)) | eats(X, animal_to_edible(Y1)) | (~much_smaller(Y1, X)) | (~eats(Y1, plant_to_edible(Z))))) | (~much_smaller(bird_to_animal(elem!4), fox_to_animal(elem!7))) | (~eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6)))) | eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5))) | eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.21/0.45 tff(116,plain,
% 0.21/0.45 ((~eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6)))) | eats(fox_to_animal(elem!7), plant_to_edible(tptp_fun_Y_1(elem!5))) | eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4)))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[115, 44, 109])).
% 0.21/0.45 tff(117,plain,
% 0.21/0.45 ((~eats(bird_to_animal(elem!4), plant_to_edible(tptp_fun_Y_0(elem!6)))) | eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4)))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[116, 100])).
% 0.21/0.45 tff(118,plain,
% 0.21/0.45 (eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4)))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[117, 61])).
% 0.21/0.45 tff(119,plain,
% 0.21/0.45 (^[X: animal, Y: animal, Z: grain] : refl(((~eats(Y, plant_to_edible(grain_to_plant(Z)))) | (~eats(X, animal_to_edible(Y)))) <=> ((~eats(Y, plant_to_edible(grain_to_plant(Z)))) | (~eats(X, animal_to_edible(Y)))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(120,plain,
% 0.21/0.45 (![X: animal, Y: animal, Z: grain] : ((~eats(Y, plant_to_edible(grain_to_plant(Z)))) | (~eats(X, animal_to_edible(Y)))) <=> ![X: animal, Y: animal, Z: grain] : ((~eats(Y, plant_to_edible(grain_to_plant(Z)))) | (~eats(X, animal_to_edible(Y))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[119])).
% 0.21/0.45 tff(121,plain,
% 0.21/0.45 (^[X: animal, Y: animal, Z: grain] : trans(monotonicity(rewrite((eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y))) <=> (~((~eats(Y, plant_to_edible(grain_to_plant(Z)))) | (~eats(X, animal_to_edible(Y)))))), ((~(eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y)))) <=> (~(~((~eats(Y, plant_to_edible(grain_to_plant(Z)))) | (~eats(X, animal_to_edible(Y)))))))), rewrite((~(~((~eats(Y, plant_to_edible(grain_to_plant(Z)))) | (~eats(X, animal_to_edible(Y)))))) <=> ((~eats(Y, plant_to_edible(grain_to_plant(Z)))) | (~eats(X, animal_to_edible(Y))))), ((~(eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y)))) <=> ((~eats(Y, plant_to_edible(grain_to_plant(Z)))) | (~eats(X, animal_to_edible(Y))))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(122,plain,
% 0.21/0.45 (![X: animal, Y: animal, Z: grain] : (~(eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y)))) <=> ![X: animal, Y: animal, Z: grain] : ((~eats(Y, plant_to_edible(grain_to_plant(Z)))) | (~eats(X, animal_to_edible(Y))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[121])).
% 0.21/0.45 tff(123,plain,
% 0.21/0.45 ((~?[X: animal, Y: animal, Z: grain] : (eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y)))) <=> (~?[X: animal, Y: animal, Z: grain] : (eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(124,axiom,(~?[X: animal, Y: animal, Z: grain] : (eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel47')).
% 0.21/0.45 tff(125,plain,
% 0.21/0.45 (~?[X: animal, Y: animal, Z: grain] : (eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.21/0.45 tff(126,plain,
% 0.21/0.45 (~?[X: animal, Y: animal, Z: grain] : (eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[125, 123])).
% 0.21/0.45 tff(127,plain,
% 0.21/0.45 (~?[X: animal, Y: animal, Z: grain] : (eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[126, 123])).
% 0.21/0.45 tff(128,plain,
% 0.21/0.45 (~?[X: animal, Y: animal, Z: grain] : (eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[127, 123])).
% 0.21/0.45 tff(129,plain,
% 0.21/0.45 (~?[X: animal, Y: animal, Z: grain] : (eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[128, 123])).
% 0.21/0.45 tff(130,plain,
% 0.21/0.45 (~?[X: animal, Y: animal, Z: grain] : (eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[129, 123])).
% 0.21/0.45 tff(131,plain,
% 0.21/0.45 (~?[X: animal, Y: animal, Z: grain] : (eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[130, 123])).
% 0.21/0.45 tff(132,plain,
% 0.21/0.45 (^[X: animal, Y: animal, Z: grain] : refl($oeq((~(eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y)))), (~(eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y))))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(133,plain,(
% 0.21/0.45 ![X: animal, Y: animal, Z: grain] : (~(eats(Y, plant_to_edible(grain_to_plant(Z))) & eats(X, animal_to_edible(Y))))),
% 0.21/0.45 inference(nnf-neg,[status(sab)],[131, 132])).
% 0.21/0.45 tff(134,plain,
% 0.21/0.45 (![X: animal, Y: animal, Z: grain] : ((~eats(Y, plant_to_edible(grain_to_plant(Z)))) | (~eats(X, animal_to_edible(Y))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[133, 122])).
% 0.21/0.45 tff(135,plain,
% 0.21/0.45 (![X: animal, Y: animal, Z: grain] : ((~eats(Y, plant_to_edible(grain_to_plant(Z)))) | (~eats(X, animal_to_edible(Y))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[134, 120])).
% 0.21/0.45 tff(136,plain,
% 0.21/0.45 (((~![X: animal, Y: animal, Z: grain] : ((~eats(Y, plant_to_edible(grain_to_plant(Z)))) | (~eats(X, animal_to_edible(Y))))) | ((~eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172)))) | (~eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4)))))) <=> ((~![X: animal, Y: animal, Z: grain] : ((~eats(Y, plant_to_edible(grain_to_plant(Z)))) | (~eats(X, animal_to_edible(Y))))) | (~eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172)))) | (~eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4)))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(137,plain,
% 0.21/0.45 ((~![X: animal, Y: animal, Z: grain] : ((~eats(Y, plant_to_edible(grain_to_plant(Z)))) | (~eats(X, animal_to_edible(Y))))) | ((~eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172)))) | (~eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4)))))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(138,plain,
% 0.21/0.45 ((~![X: animal, Y: animal, Z: grain] : ((~eats(Y, plant_to_edible(grain_to_plant(Z)))) | (~eats(X, animal_to_edible(Y))))) | (~eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172)))) | (~eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[137, 136])).
% 0.21/0.45 tff(139,plain,
% 0.21/0.45 ((~eats(bird_to_animal(elem!4), plant_to_edible(grain_to_plant(elem!172)))) | (~eats(fox_to_animal(elem!7), animal_to_edible(bird_to_animal(elem!4))))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[138, 135])).
% 0.21/0.45 tff(140,plain,
% 0.21/0.45 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[139, 118, 53])).
% 0.21/0.46 tff(141,plain,(eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(142,plain,
% 0.21/0.46 (^[X: bird, Y: snail] : refl((~eats(bird_to_animal(X), animal_to_edible(snail_to_animal(Y)))) <=> (~eats(bird_to_animal(X), animal_to_edible(snail_to_animal(Y)))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(143,plain,
% 0.21/0.46 (![X: bird, Y: snail] : (~eats(bird_to_animal(X), animal_to_edible(snail_to_animal(Y)))) <=> ![X: bird, Y: snail] : (~eats(bird_to_animal(X), animal_to_edible(snail_to_animal(Y))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[142])).
% 0.21/0.46 tff(144,plain,
% 0.21/0.46 (![X: bird, Y: snail] : (~eats(bird_to_animal(X), animal_to_edible(snail_to_animal(Y)))) <=> ![X: bird, Y: snail] : (~eats(bird_to_animal(X), animal_to_edible(snail_to_animal(Y))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(145,axiom,(![X: bird, Y: snail] : (~eats(bird_to_animal(X), animal_to_edible(snail_to_animal(Y))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel47_13')).
% 0.21/0.46 tff(146,plain,
% 0.21/0.46 (![X: bird, Y: snail] : (~eats(bird_to_animal(X), animal_to_edible(snail_to_animal(Y))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.21/0.46 tff(147,plain,(
% 0.21/0.46 ![X: bird, Y: snail] : (~eats(bird_to_animal(X), animal_to_edible(snail_to_animal(Y))))),
% 0.21/0.46 inference(skolemize,[status(sab)],[146])).
% 0.21/0.46 tff(148,plain,
% 0.21/0.46 (![X: bird, Y: snail] : (~eats(bird_to_animal(X), animal_to_edible(snail_to_animal(Y))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[147, 143])).
% 0.21/0.46 tff(149,plain,
% 0.21/0.46 ((~![X: bird, Y: snail] : (~eats(bird_to_animal(X), animal_to_edible(snail_to_animal(Y))))) | (~eats(bird_to_animal(elem!4), animal_to_edible(snail_to_animal(elem!5))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(150,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[149, 148, 141])).
% 0.21/0.46 % SZS output end Proof
%------------------------------------------------------------------------------