TSTP Solution File: NUM688^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NUM688^1 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -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 : 600s
% DateTime : Mon Jul 18 13:55:14 EDT 2022
% Result : Theorem 0.13s 0.37s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_nat,type,
nat: $tType ).
thf(ty_z,type,
z: nat ).
thf(ty_pl,type,
pl: nat > nat > nat ).
thf(ty_u,type,
u: nat ).
thf(ty_y,type,
y: nat ).
thf(ty_more,type,
more: nat > nat > $o ).
thf(ty_x,type,
x: nat ).
thf(sP1,plain,
( sP1
<=> ( ( z = u )
=> ( ( more @ x @ y )
=> ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: nat,X2: nat,X3: nat,X4: nat] :
( ( more @ X1 @ X2 )
=> ( ( more @ X3 @ X4 )
=> ( more @ ( pl @ X1 @ X3 ) @ ( pl @ X2 @ X4 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( more @ z @ u )
=> ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: nat,X2: nat] :
( ( more @ x @ y )
=> ( ( more @ X1 @ X2 )
=> ( more @ ( pl @ x @ X1 ) @ ( pl @ y @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( more @ z @ u ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: nat,X2: nat] :
( ( z = u )
=> ( ( more @ X1 @ X2 )
=> ( more @ ( pl @ X1 @ z ) @ ( pl @ X2 @ u ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( more @ x @ y ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( sP7
=> ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: nat] :
( sP7
=> ( ( more @ z @ X1 )
=> ( more @ ( pl @ x @ z ) @ ( pl @ y @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: nat,X2: nat,X3: nat] :
( ( more @ x @ X1 )
=> ( ( more @ X2 @ X3 )
=> ( more @ ( pl @ x @ X2 ) @ ( pl @ X1 @ X3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: nat] :
( ( z = u )
=> ( ( more @ x @ X1 )
=> ( more @ ( pl @ x @ z ) @ ( pl @ X1 @ u ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: nat,X2: nat,X3: nat,X4: nat] :
( ( X1 = X2 )
=> ( ( more @ X3 @ X4 )
=> ( more @ ( pl @ X3 @ X1 ) @ ( pl @ X4 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: nat,X2: nat,X3: nat] :
( ( z = X1 )
=> ( ( more @ X2 @ X3 )
=> ( more @ ( pl @ X2 @ z ) @ ( pl @ X3 @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( sP7
=> sP3 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( z = u ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(satz22b,conjecture,
sP14 ).
thf(h0,negated_conjecture,
~ sP14,
inference(assume_negation,[status(cth)],[satz22b]) ).
thf(h1,assumption,
sP5,
introduced(assumption,[]) ).
thf(h2,assumption,
sP16,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP2
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP10
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP4
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP9
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP15
| ~ sP7
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP3
| ~ sP5
| sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(m,axiom,
sP7 ).
thf(satz21,axiom,
sP2 ).
thf(7,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,6,m,h1,satz21,h0]) ).
thf(8,plain,
( ~ sP12
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP13
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP6
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP11
| sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP1
| ~ sP16
| sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP8
| ~ sP7
| sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(satz19h,axiom,
sP12 ).
thf(14,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h2,h0])],[8,9,10,11,12,13,m,h2,satz19h,h0]) ).
thf(n,axiom,
( ~ sP5
=> sP16 ) ).
thf(15,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h0]),tab_imp(discharge,[h1]),tab_imp(discharge,[h2])],[n,7,14,h1,h2]) ).
thf(0,theorem,
sP14,
inference(contra,[status(thm),contra(discharge,[h0])],[15,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM688^1 : TPTP v8.1.0. Released v3.7.0.
% 0.10/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 12:09:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37 % SZS status Theorem
% 0.13/0.37 % Mode: mode213
% 0.13/0.37 % Inferences: 11
% 0.13/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------