TSTP Solution File: ITP136^1 by Lash---1.13
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%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : ITP136^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n017.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 : Thu Aug 31 04:02:26 EDT 2023
% Result : Theorem 20.48s 20.73s
% Output : Proof 20.48s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_set_nat,type,
set_nat: $tType ).
thf(ty_nat,type,
nat: $tType ).
thf(ty_member_nat,type,
member_nat: nat > set_nat > $o ).
thf(ty_eigen__0,type,
eigen__0: nat ).
thf(ty_top_top_set_nat,type,
top_top_set_nat: set_nat ).
thf(sP1,plain,
( sP1
<=> ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
= ( paraco1344940915le_Det @ ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
= ( paraco1344940915le_Det @ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( paraco1325918602e_eval @ i @ p2 )
= ( paraco1344940915le_Det @ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( paraco1344940915le_Det @ $false )
= ( paraco1325918602e_eval @ i @ p2 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( paraco1325918602e_eval @ i @ p2 )
= ( paraco1344940915le_Det @ ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(conj_0,conjecture,
~ sP1 ).
thf(h0,negated_conjecture,
sP1,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(h1,assumption,
member_nat @ eigen__0 @ top_top_set_nat,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP2
| sP5
| ~ sP4
| ~ sP1 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP3
| sP4 ),
inference(symeq,[status(thm)],]) ).
thf(fact_6_b,axiom,
sP2 ).
thf(fact_4_a,axiom,
sP3 ).
thf(fact_0_a_H_H_H,axiom,
~ sP5 ).
thf(3,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,h0,fact_6_b,fact_4_a,fact_0_a_H_H_H]) ).
thf(fact_125_UNIV__witness,axiom,
~ ! [X1: nat] :
~ ( member_nat @ X1 @ top_top_set_nat ) ).
thf(4,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[fact_125_UNIV__witness,3,h1]) ).
thf(0,theorem,
~ sP1,
inference(contra,[status(thm),contra(discharge,[h0])],[4,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP136^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 12:42:11 EDT 2023
% 0.12/0.34 % CPUTime :
% 20.48/20.73 % SZS status Theorem
% 20.48/20.73 % Mode: cade22sinegrackle2xfaf3
% 20.48/20.73 % Steps: 145
% 20.48/20.73 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------