TSTP Solution File: SYO361^5 by Satallax---3.5
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% File : Satallax---3.5
% Problem : SYO361^5 : 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 : n023.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 19:31:38 EDT 2022
% Result : Theorem 0.12s 0.35s
% 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
% 0.07/0.12 % Problem : SYO361^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jul 9 04:29:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % SZS status Theorem
% 0.12/0.35 % Mode: mode213
% 0.12/0.35 % Inferences: 15
% 0.12/0.35 % SZS output start Proof
% 0.12/0.35 thf(ty_eigen__2, type, eigen__2 : ($i>$i>$o)).
% 0.12/0.35 thf(ty_eigen__1, type, eigen__1 : $i).
% 0.12/0.35 thf(ty_eigen__0, type, eigen__0 : $i).
% 0.12/0.35 thf(sP1,plain,sP1 <=> (![X1:$i]:((eigen__2 @ X1) @ X1)),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.12/0.35 thf(sP2,plain,sP2 <=> ((eigen__2 @ eigen__0) @ eigen__0),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.12/0.35 thf(sP3,plain,sP3 <=> (eigen__0 = eigen__1),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.12/0.35 thf(sP4,plain,sP4 <=> ((eigen__2 @ eigen__0) @ eigen__1),introduced(definition,[new_symbols(definition,[sP4])])).
% 0.12/0.35 thf(sP5,plain,sP5 <=> (eigen__0 = eigen__0),introduced(definition,[new_symbols(definition,[sP5])])).
% 0.12/0.35 thf(cTHM47,conjecture,(![X1:$i]:(![X2:$i]:((X1 = X2) = (![X3:$i>$i>$o]:((![X4:$i]:((X3 @ X4) @ X4)) => ((X3 @ X1) @ X2))))))).
% 0.12/0.35 thf(h0,negated_conjecture,(~((![X1:$i]:(![X2:$i]:((X1 = X2) = (![X3:$i>$i>$o]:((![X4:$i]:((X3 @ X4) @ X4)) => ((X3 @ X1) @ X2)))))))),inference(assume_negation,[status(cth)],[cTHM47])).
% 0.12/0.35 thf(h1,assumption,(~((![X1:$i]:((eigen__0 = X1) = (![X2:$i>$i>$o]:((![X3:$i]:((X2 @ X3) @ X3)) => ((X2 @ eigen__0) @ X1))))))),introduced(assumption,[])).
% 0.12/0.35 thf(h2,assumption,(~((sP3 = (![X1:$i>$i>$o]:((![X2:$i]:((X1 @ X2) @ X2)) => ((X1 @ eigen__0) @ eigen__1)))))),introduced(assumption,[])).
% 0.12/0.35 thf(h3,assumption,sP3,introduced(assumption,[])).
% 0.12/0.35 thf(h4,assumption,(![X1:$i>$i>$o]:((![X2:$i]:((X1 @ X2) @ X2)) => ((X1 @ eigen__0) @ eigen__1))),introduced(assumption,[])).
% 0.12/0.35 thf(h5,assumption,(~(sP3)),introduced(assumption,[])).
% 0.12/0.35 thf(h6,assumption,(~((![X1:$i>$i>$o]:((![X2:$i]:((X1 @ X2) @ X2)) => ((X1 @ eigen__0) @ eigen__1))))),introduced(assumption,[])).
% 0.12/0.35 thf(h7,assumption,(~((sP1 => sP4))),introduced(assumption,[])).
% 0.12/0.35 thf(h8,assumption,sP1,introduced(assumption,[])).
% 0.12/0.35 thf(h9,assumption,(~(sP4)),introduced(assumption,[])).
% 0.12/0.35 thf(1,plain,sP5,inference(prop_rule,[status(thm)],[])).
% 0.12/0.35 thf(2,plain,(((~(sP2) | sP4) | ~(sP5)) | ~(sP3)),inference(mating_rule,[status(thm)],[])).
% 0.12/0.35 thf(3,plain,(~(sP1) | sP2),inference(all_rule,[status(thm)],[])).
% 0.12/0.35 thf(4,plain,$false,inference(prop_unsat,[status(thm),assumptions([h8,h9,h7,h3,h4,h2,h1,h0])],[1,2,3,h3,h8,h9])).
% 0.12/0.35 thf(5,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h8,h9])],[h7,4,h8,h9])).
% 0.12/0.35 thf(6,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h4,h2,h1,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__2)],[h4,5,h7])).
% 0.12/0.35 thf(7,plain,sP3,inference(normalize,[status(thm)],[h6]).
% 0.12/0.35 thf(8,plain,$false,inference(tab_conflict,[status(thm),assumptions([h5,h6,h2,h1,h0])],[7,h5])).
% 0.12/0.35 thf(9,plain,$false,inference(tab_be,[status(thm),assumptions([h2,h1,h0]),tab_be(discharge,[h3,h4]),tab_be(discharge,[h5,h6])],[h2,6,8,h3,h4,h5,h6])).
% 0.12/0.35 thf(10,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,9,h2])).
% 0.12/0.35 thf(11,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,10,h1])).
% 0.12/0.35 thf(0,theorem,(![X1:$i]:(![X2:$i]:((X1 = X2) = (![X3:$i>$i>$o]:((![X4:$i]:((X3 @ X4) @ X4)) => ((X3 @ X1) @ X2)))))),inference(contra,[status(thm),contra(discharge,[h0])],[11,h0])).
% 0.12/0.35 % SZS output end Proof
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