TSTP Solution File: SYO226^5 by Satallax---3.5
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% File : Satallax---3.5
% Problem : SYO226^5 : 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 : n018.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 19:30:58 EDT 2022
% Result : Theorem 0.12s 0.34s
% 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
% 0.03/0.12 % Problem : SYO226^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 19:16:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % SZS status Theorem
% 0.12/0.34 % Mode: mode213
% 0.12/0.34 % Inferences: 0
% 0.12/0.34 % SZS output start Proof
% 0.12/0.34 thf(ty_eigen__1, type, eigen__1 : $i).
% 0.12/0.34 thf(ty_eigen__0, type, eigen__0 : $i).
% 0.12/0.34 thf(sP1,plain,sP1 <=> (eigen__0 = eigen__1),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.12/0.34 thf(cTHM47B,conjecture,(![X1:$i]:(![X2:$i]:((![X3:$i>$i>$o]:((![X4:$i]:((X3 @ X4) @ X4)) => ((X3 @ X1) @ X2))) => (X1 = X2))))).
% 0.12/0.34 thf(h0,negated_conjecture,(~((![X1:$i]:(![X2:$i]:((![X3:$i>$i>$o]:((![X4:$i]:((X3 @ X4) @ X4)) => ((X3 @ X1) @ X2))) => (X1 = X2)))))),inference(assume_negation,[status(cth)],[cTHM47B])).
% 0.12/0.34 thf(h1,assumption,(~((![X1:$i]:((![X2:$i>$i>$o]:((![X3:$i]:((X2 @ X3) @ X3)) => ((X2 @ eigen__0) @ X1))) => (eigen__0 = X1))))),introduced(assumption,[])).
% 0.12/0.34 thf(h2,assumption,(~(((![X1:$i>$i>$o]:((![X2:$i]:((X1 @ X2) @ X2)) => ((X1 @ eigen__0) @ eigen__1))) => sP1))),introduced(assumption,[])).
% 0.12/0.34 thf(h3,assumption,(![X1:$i>$i>$o]:((![X2:$i]:((X1 @ X2) @ X2)) => ((X1 @ eigen__0) @ eigen__1))),introduced(assumption,[])).
% 0.12/0.34 thf(h4,assumption,(~(sP1)),introduced(assumption,[])).
% 0.12/0.34 thf(1,plain,sP1,inference(normalize,[status(thm)],[h3]).
% 0.12/0.34 thf(2,plain,$false,inference(tab_conflict,[status(thm),assumptions([h3,h4,h2,h1,h0])],[1,h4])).
% 0.12/0.34 thf(3,plain,$false,inference(tab_negimp,[status(thm),assumptions([h2,h1,h0]),tab_negimp(discharge,[h3,h4])],[h2,2,h3,h4])).
% 0.12/0.34 thf(4,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,3,h2])).
% 0.12/0.34 thf(5,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,4,h1])).
% 0.12/0.34 thf(0,theorem,(![X1:$i]:(![X2:$i]:((![X3:$i>$i>$o]:((![X4:$i]:((X3 @ X4) @ X4)) => ((X3 @ X1) @ X2))) => (X1 = X2)))),inference(contra,[status(thm),contra(discharge,[h0])],[5,h0])).
% 0.12/0.34 % SZS output end Proof
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