TSTP Solution File: SYO236^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO236^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n008.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 : Thu Jul 21 19:31:01 EDT 2022
% Result : Theorem 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYO236^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jul 8 20:25:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.38 % SZS status Theorem
% 0.20/0.38 % Mode: mode213
% 0.20/0.38 % Inferences: 5
% 0.20/0.38 % SZS output start Proof
% 0.20/0.38 thf(ty_a, type, a : $tType).
% 0.20/0.38 thf(ty_b, type, b : $tType).
% 0.20/0.38 thf(ty_eigen__1, type, eigen__1 : b).
% 0.20/0.38 thf(ty_eigen__0, type, eigen__0 : b).
% 0.20/0.38 thf(ty_g, type, g : (b>a)).
% 0.20/0.38 thf(ty_f, type, f : (b>a)).
% 0.20/0.38 thf(sP1,plain,sP1 <=> (f = g),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.20/0.38 thf(sP2,plain,sP2 <=> ((f @ eigen__1) = (g @ eigen__1)),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.20/0.38 thf(sP3,plain,sP3 <=> ((f @ eigen__0) = (g @ eigen__0)),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.20/0.38 thf(sP4,plain,sP4 <=> (![X1:b]:((f @ X1) = (g @ X1))),introduced(definition,[new_symbols(definition,[sP4])])).
% 0.20/0.38 thf(cTHM504,conjecture,(((~((![X1:(b>a)>$o]:((X1 @ f) => (X1 @ g))))) => sP4) => sP1)).
% 0.20/0.38 thf(h0,negated_conjecture,(~((((~((![X1:(b>a)>$o]:((X1 @ f) => (X1 @ g))))) => sP4) => sP1))),inference(assume_negation,[status(cth)],[cTHM504])).
% 0.20/0.38 thf(h1,assumption,((~((![X1:(b>a)>$o]:((X1 @ f) => (X1 @ g))))) => sP4),introduced(assumption,[])).
% 0.20/0.38 thf(h2,assumption,(~(sP1)),introduced(assumption,[])).
% 0.20/0.38 thf(h3,assumption,(![X1:(b>a)>$o]:((X1 @ f) => (X1 @ g))),introduced(assumption,[])).
% 0.20/0.38 thf(h4,assumption,sP4,introduced(assumption,[])).
% 0.20/0.38 thf(h5,assumption,(~(sP4)),introduced(assumption,[])).
% 0.20/0.38 thf(h6,assumption,(~(sP3)),introduced(assumption,[])).
% 0.20/0.38 thf(1,plain,(~(sP4) | sP3),inference(all_rule,[status(thm)],[])).
% 0.20/0.38 thf(2,plain,(~(sP1) | sP4),inference(prop_rule,[status(thm)],[])).
% 0.20/0.38 thf(3,plain,sP1,inference(normalize,[status(thm)],[h3]).
% 0.20/0.38 thf(4,plain,$false,inference(prop_unsat,[status(thm),assumptions([h6,h5,h3,h1,h2,h0])],[1,2,3,h6])).
% 0.20/0.38 thf(5,plain,$false,inference(tab_negall,[status(thm),assumptions([h5,h3,h1,h2,h0]),tab_negall(discharge,[h6]),tab_negall(eigenvar,eigen__0)],[h5,4,h6])).
% 0.20/0.38 thf(6,plain,$false,inference(tab_fe,[status(thm),assumptions([h3,h1,h2,h0]),tab_fe(discharge,[h5])],[h2,5,h5])).
% 0.20/0.38 thf(h7,assumption,(~(sP2)),introduced(assumption,[])).
% 0.20/0.38 thf(7,plain,(~(sP4) | sP2),inference(all_rule,[status(thm)],[])).
% 0.20/0.38 thf(8,plain,$false,inference(prop_unsat,[status(thm),assumptions([h7,h5,h4,h1,h2,h0])],[7,h4,h7])).
% 0.20/0.38 thf(9,plain,$false,inference(tab_negall,[status(thm),assumptions([h5,h4,h1,h2,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__1)],[h5,8,h7])).
% 0.20/0.38 thf(10,plain,$false,inference(tab_fe,[status(thm),assumptions([h4,h1,h2,h0]),tab_fe(discharge,[h5])],[h2,9,h5])).
% 0.20/0.38 thf(11,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h1,6,10,h3,h4])).
% 0.20/0.38 thf(12,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,11,h1,h2])).
% 0.20/0.38 thf(0,theorem,(((~((![X1:(b>a)>$o]:((X1 @ f) => (X1 @ g))))) => sP4) => sP1),inference(contra,[status(thm),contra(discharge,[h0])],[12,h0])).
% 0.20/0.38 % SZS output end Proof
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