TSTP Solution File: SYO547^1 by Lash---1.13
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SYO547^1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n026.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 : 300s
% DateTime : Fri Sep 1 04:47:26 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO547^1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 06:14:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % SZS status Theorem
% 0.13/0.36 % Mode: cade22grackle2xfee4
% 0.13/0.36 % Steps: 8
% 0.13/0.36 % SZS output start Proof
% 0.13/0.36 thf(ty_eigen__0, type, eigen__0 : ($i>$o)).
% 0.13/0.36 thf(ty_eps, type, eps : (($i>$o)>$i)).
% 0.13/0.36 thf(ty_eigen__1, type, eigen__1 : $i).
% 0.13/0.36 thf(sP1,plain,sP1 <=> (eigen__0 @ eigen__1),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.13/0.36 thf(sP2,plain,sP2 <=> (eigen__0 @ (eps @ (^[X1:$i]:(~((eigen__0 @ X1)))))),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.13/0.36 thf(sP3,plain,sP3 <=> (![X1:$i]:(eigen__0 @ X1)),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.13/0.36 thf(def_epscomp,definition,(epscomp = (^[X1:$i>$o]:(eps @ (^[X2:$i]:((~) @ (X1 @ X2))))))).
% 0.13/0.36 thf(choicecomp,conjecture,(![X1:$i>$o]:((~((![X2:$i]:(X1 @ X2)))) => (~((X1 @ (eps @ (^[X2:$i]:(~((X1 @ X2))))))))))).
% 0.13/0.36 thf(h0,negated_conjecture,(~((![X1:$i>$o]:((~((![X2:$i]:(X1 @ X2)))) => (~((X1 @ (eps @ (^[X2:$i]:(~((X1 @ X2)))))))))))),inference(assume_negation,[status(cth)],[choicecomp])).
% 0.13/0.36 thf(h1,assumption,(~(((~(((!!) @ eigen__0))) => (~(sP2))))),introduced(assumption,[])).
% 0.13/0.36 thf(h2,assumption,(~(sP3)),introduced(assumption,[])).
% 0.13/0.36 thf(h3,assumption,sP2,introduced(assumption,[])).
% 0.13/0.36 thf(h4,assumption,(~(sP1)),introduced(assumption,[])).
% 0.13/0.36 thf(1,plain,(~(sP3) | sP1),inference(all_rule,[status(thm)],[])).
% 0.13/0.36 thf(choiceax,axiom,(![X1:$i>$o]:((~((![X2:$i]:(~((X1 @ X2)))))) => (X1 @ (eps @ X1))))).
% 0.13/0.36 thf(2,plain,(![X1:$i>$o]:((~((![X2:$i]:(~((X1 @ X2)))))) => (X1 @ (eps @ X1)))),inference(preprocess,[status(thm)],[2]).
% 0.13/0.36 thf(3,plain,(~(sP2) | sP3),inference(choice_rule,[status(thm)],[2])).
% 0.13/0.36 thf(4,plain,$false,inference(prop_unsat,[status(thm),assumptions([h4,h2,h3,h1,h0])],[1,3,h4,h3])).
% 0.13/0.36 thf(5,plain,$false,inference(tab_negall,[status(thm),assumptions([h2,h3,h1,h0]),tab_negall(discharge,[h4]),tab_negall(eigenvar,eigen__1)],[h2,4,h4])).
% 0.13/0.36 thf(6,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,5,h2,h3])).
% 0.13/0.36 thf(7,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,6,h1])).
% 0.13/0.36 thf(0,theorem,(![X1:$i>$o]:((~((![X2:$i]:(X1 @ X2)))) => (~((X1 @ (eps @ (^[X2:$i]:(~((X1 @ X2)))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[7,h0])).
% 0.13/0.36 % SZS output end Proof
%------------------------------------------------------------------------------