TSTP Solution File: PUZ146^1 by Satallax---3.5
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% File : Satallax---3.5
% Problem : PUZ146^1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n032.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 : 600s
% DateTime : Mon Jul 18 18:26:06 EDT 2022
% Result : Theorem 0.12s 0.29s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : PUZ146^1 : TPTP v8.1.0. Released v6.4.0.
% 0.00/0.09 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 600
% 0.08/0.27 % DateTime : Sun May 29 02:39:56 EDT 2022
% 0.08/0.27 % CPUTime :
% 0.12/0.29 % SZS status Theorem
% 0.12/0.29 % Mode: mode213
% 0.12/0.29 % Inferences: 17
% 0.12/0.29 % SZS output start Proof
% 0.12/0.29 thf(ty_earthling, type, earthling : $tType).
% 0.12/0.29 thf(ty_hobby, type, hobby : $tType).
% 0.12/0.29 thf(ty_peter, type, peter : earthling).
% 0.12/0.29 thf(ty_belly_dancing, type, belly_dancing : hobby).
% 0.12/0.29 thf(ty_weight_lifting, type, weight_lifting : hobby).
% 0.12/0.29 thf(ty_beer_drinking, type, beer_drinking : hobby).
% 0.12/0.29 thf(ty_has_hobby, type, has_hobby : (earthling>hobby>$o)).
% 0.12/0.29 thf(ty_mary, type, mary : earthling).
% 0.12/0.29 thf(sP1,plain,sP1 <=> (((has_hobby @ peter) @ beer_drinking) = ((has_hobby @ mary) @ beer_drinking)),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.12/0.29 thf(sP2,plain,sP2 <=> (![X1:hobby]:(((has_hobby @ peter) @ X1) = ((has_hobby @ mary) @ X1))),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.12/0.29 thf(sP3,plain,sP3 <=> ((has_hobby @ peter) @ beer_drinking),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.12/0.29 thf(sP4,plain,sP4 <=> ((has_hobby @ peter) = (has_hobby @ mary)),introduced(definition,[new_symbols(definition,[sP4])])).
% 0.12/0.29 thf(sP5,plain,sP5 <=> ((has_hobby @ mary) @ beer_drinking),introduced(definition,[new_symbols(definition,[sP5])])).
% 0.12/0.29 thf(def_peters_hobbies,definition,(peters_hobbies = (has_hobby @ peter))).
% 0.12/0.29 thf(def_marys_hobbies,definition,(marys_hobbies = (has_hobby @ mary))).
% 0.12/0.29 thf(peter_and_mary_have_different_hobbies,conjecture,(~(sP4))).
% 0.12/0.29 thf(h0,negated_conjecture,sP4,inference(assume_negation,[status(cth)],[peter_and_mary_have_different_hobbies])).
% 0.12/0.29 thf(h1,assumption,(~(((~((beer_drinking = belly_dancing))) => (belly_dancing = weight_lifting)))),introduced(assumption,[])).
% 0.12/0.29 thf(h2,assumption,(~((beer_drinking = weight_lifting))),introduced(assumption,[])).
% 0.12/0.29 thf(h3,assumption,(~((beer_drinking = belly_dancing))),introduced(assumption,[])).
% 0.12/0.29 thf(h4,assumption,(~((belly_dancing = weight_lifting))),introduced(assumption,[])).
% 0.12/0.29 thf(1,plain,((~(sP1) | ~(sP3)) | sP5),inference(prop_rule,[status(thm)],[])).
% 0.12/0.29 thf(2,plain,(~(sP2) | sP1),inference(all_rule,[status(thm)],[])).
% 0.12/0.29 thf(3,plain,(~(sP4) | sP2),inference(prop_rule,[status(thm)],[])).
% 0.12/0.29 thf(mary_does_not_do_beer_drinking,axiom,(~((marys_hobbies @ beer_drinking)))).
% 0.12/0.29 thf(4,plain,(~(sP5)),inference(preprocess,[status(thm)],[mary_does_not_do_beer_drinking]).
% 0.12/0.29 thf(peter_does_beer_drinking,axiom,(peters_hobbies @ beer_drinking)).
% 0.12/0.29 thf(5,plain,sP3,inference(preprocess,[status(thm)],[peter_does_beer_drinking]).
% 0.12/0.29 thf(6,plain,$false,inference(prop_unsat,[status(thm),assumptions([h3,h4,h1,h2,h0])],[1,2,3,4,5,h0])).
% 0.12/0.29 thf(7,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,6,h3,h4])).
% 0.12/0.29 thf(not_the_same_2,axiom,(~(((~(((~((beer_drinking = belly_dancing))) => (belly_dancing = weight_lifting)))) => (beer_drinking = weight_lifting))))).
% 0.12/0.29 thf(8,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[not_the_same_2,7,h1,h2])).
% 0.12/0.29 thf(0,theorem,(~(sP4)),inference(contra,[status(thm),contra(discharge,[h0])],[8,h0])).
% 0.12/0.29 % SZS output end Proof
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