TSTP Solution File: SYO353^5 by Satallax---3.5
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% File : Satallax---3.5
% Problem : SYO353^5 : 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 : n021.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 0.19s 0.36s
% Output : Proof 0.19s
% 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 : SYO353^5 : 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
% 0.14/0.33 % Computer : n021.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 8 23:35:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.19/0.36 % SZS status Theorem
% 0.19/0.36 % Mode: mode213
% 0.19/0.36 % Inferences: 15
% 0.19/0.36 % SZS output start Proof
% 0.19/0.36 thf(ty_a, type, a : $tType).
% 0.19/0.36 thf(ty_v, type, v : a).
% 0.19/0.36 thf(ty_eigen__0, type, eigen__0 : (a>a>$o)).
% 0.19/0.36 thf(ty_u, type, u : a).
% 0.19/0.36 thf(sP1,plain,sP1 <=> (![X1:a]:((eigen__0 @ X1) @ X1)),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.19/0.36 thf(sP2,plain,sP2 <=> ((eigen__0 @ u) @ u),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.19/0.36 thf(sP3,plain,sP3 <=> (u = v),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.19/0.36 thf(sP4,plain,sP4 <=> ((eigen__0 @ u) @ v),introduced(definition,[new_symbols(definition,[sP4])])).
% 0.19/0.36 thf(sP5,plain,sP5 <=> (u = u),introduced(definition,[new_symbols(definition,[sP5])])).
% 0.19/0.36 thf(cE1LEIBEQ1_pme,conjecture,((![X1:a>$o]:((X1 @ u) => (X1 @ v))) => (![X1:a>a>$o]:((![X2:a]:((X1 @ X2) @ X2)) => ((X1 @ u) @ v))))).
% 0.19/0.36 thf(h0,negated_conjecture,(~(((![X1:a>$o]:((X1 @ u) => (X1 @ v))) => (![X1:a>a>$o]:((![X2:a]:((X1 @ X2) @ X2)) => ((X1 @ u) @ v)))))),inference(assume_negation,[status(cth)],[cE1LEIBEQ1_pme])).
% 0.19/0.36 thf(h1,assumption,(![X1:a>$o]:((X1 @ u) => (X1 @ v))),introduced(assumption,[])).
% 0.19/0.36 thf(h2,assumption,(~((![X1:a>a>$o]:((![X2:a]:((X1 @ X2) @ X2)) => ((X1 @ u) @ v))))),introduced(assumption,[])).
% 0.19/0.36 thf(h3,assumption,(~((sP1 => sP4))),introduced(assumption,[])).
% 0.19/0.36 thf(h4,assumption,sP1,introduced(assumption,[])).
% 0.19/0.36 thf(h5,assumption,(~(sP4)),introduced(assumption,[])).
% 0.19/0.36 thf(1,plain,sP5,inference(prop_rule,[status(thm)],[])).
% 0.19/0.36 thf(2,plain,(((~(sP2) | sP4) | ~(sP5)) | ~(sP3)),inference(mating_rule,[status(thm)],[])).
% 0.19/0.36 thf(3,plain,(~(sP1) | sP2),inference(all_rule,[status(thm)],[])).
% 0.19/0.36 thf(4,plain,sP3,inference(normalize,[status(thm)],[h1]).
% 0.19/0.36 thf(5,plain,$false,inference(prop_unsat,[status(thm),assumptions([h4,h5,h3,h1,h2,h0])],[1,2,3,4,h4,h5])).
% 0.19/0.36 thf(6,plain,$false,inference(tab_negimp,[status(thm),assumptions([h3,h1,h2,h0]),tab_negimp(discharge,[h4,h5])],[h3,5,h4,h5])).
% 0.19/0.36 thf(7,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h2,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__0)],[h2,6,h3])).
% 0.19/0.36 thf(8,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,7,h1,h2])).
% 0.19/0.36 thf(0,theorem,((![X1:a>$o]:((X1 @ u) => (X1 @ v))) => (![X1:a>a>$o]:((![X2:a]:((X1 @ X2) @ X2)) => ((X1 @ u) @ v)))),inference(contra,[status(thm),contra(discharge,[h0])],[8,h0])).
% 0.19/0.36 % SZS output end Proof
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