TSTP Solution File: SYO352^5 by Satallax---3.5
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% File : Satallax---3.5
% Problem : SYO352^5 : 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 : n004.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 19:31:35 EDT 2022
% Result : Theorem 0.11s 0.35s
% Output : Proof 0.11s
% 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 : SYO352^5 : 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
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jul 8 18:23:52 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.35 % SZS status Theorem
% 0.11/0.35 % Mode: mode213
% 0.11/0.35 % Inferences: 8
% 0.11/0.35 % SZS output start Proof
% 0.11/0.35 thf(ty_n, type, n : ($i>$i)).
% 0.11/0.35 thf(ty_eigen__0, type, eigen__0 : (($i>$i)>$o)).
% 0.11/0.35 thf(ty_m, type, m : ($i>$i)).
% 0.11/0.35 thf(sP1,plain,sP1 <=> (eigen__0 @ m),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.11/0.35 thf(sP2,plain,sP2 <=> (![X1:$i]:((m @ X1) = (n @ X1))),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.11/0.35 thf(sP3,plain,sP3 <=> (eigen__0 @ n),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.11/0.35 thf(sP4,plain,sP4 <=> (m = n),introduced(definition,[new_symbols(definition,[sP4])])).
% 0.11/0.35 thf(cE5EXT,conjecture,((![X1:$i]:(![X2:$i>$o]:((X2 @ (m @ X1)) => (X2 @ (n @ X1))))) => (![X1:($i>$i)>$o]:((X1 @ m) => (X1 @ n))))).
% 0.11/0.35 thf(h0,negated_conjecture,(~(((![X1:$i]:(![X2:$i>$o]:((X2 @ (m @ X1)) => (X2 @ (n @ X1))))) => (![X1:($i>$i)>$o]:((X1 @ m) => (X1 @ n)))))),inference(assume_negation,[status(cth)],[cE5EXT])).
% 0.11/0.35 thf(h1,assumption,(![X1:$i]:(![X2:$i>$o]:((X2 @ (m @ X1)) => (X2 @ (n @ X1))))),introduced(assumption,[])).
% 0.11/0.35 thf(h2,assumption,(~((![X1:($i>$i)>$o]:((X1 @ m) => (X1 @ n))))),introduced(assumption,[])).
% 0.11/0.35 thf(h3,assumption,(~((sP1 => sP3))),introduced(assumption,[])).
% 0.11/0.35 thf(h4,assumption,sP1,introduced(assumption,[])).
% 0.11/0.35 thf(h5,assumption,(~(sP3)),introduced(assumption,[])).
% 0.11/0.35 thf(1,plain,(sP4 | ~(sP2)),inference(prop_rule,[status(thm)],[])).
% 0.11/0.35 thf(2,plain,((~(sP1) | sP3) | ~(sP4)),inference(mating_rule,[status(thm)],[])).
% 0.11/0.35 thf(3,plain,sP2,inference(normalize,[status(thm)],[h1]).
% 0.11/0.35 thf(4,plain,$false,inference(prop_unsat,[status(thm),assumptions([h4,h5,h3,h1,h2,h0])],[1,2,3,h4,h5])).
% 0.11/0.35 thf(5,plain,$false,inference(tab_negimp,[status(thm),assumptions([h3,h1,h2,h0]),tab_negimp(discharge,[h4,h5])],[h3,4,h4,h5])).
% 0.11/0.35 thf(6,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h2,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__0)],[h2,5,h3])).
% 0.11/0.35 thf(7,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,6,h1,h2])).
% 0.11/0.35 thf(0,theorem,((![X1:$i]:(![X2:$i>$o]:((X2 @ (m @ X1)) => (X2 @ (n @ X1))))) => (![X1:($i>$i)>$o]:((X1 @ m) => (X1 @ n)))),inference(contra,[status(thm),contra(discharge,[h0])],[7,h0])).
% 0.11/0.35 % SZS output end Proof
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