TSTP Solution File: ITP200^1 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP200^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n027.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 : Sun Jul 17 00:29:29 EDT 2022
% Result : Theorem 47.68s 46.86s
% Output : Proof 47.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 170 ( 20 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 156 ( 26 ~; 20 |; 0 &; 106 @)
% ( 0 <=>; 3 =>; 1 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 28 con; 0-2 aty)
% Number of variables : 21 ( 0 ^ 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(conj_0,conjecture,
( uSubst516392818stappt @ sigma @ ua @ theta )
!= none_trm ).
thf(h0,negated_conjecture,
( ( uSubst516392818stappt @ sigma @ ua @ theta )
= none_trm ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(ax1419,axiom,
( ~ p119
| p120 ),
file('<stdin>',ax1419) ).
thf(ax1418,axiom,
( ~ p120
| p121 ),
file('<stdin>',ax1418) ).
thf(ax1420,axiom,
p119,
file('<stdin>',ax1420) ).
thf(ax1417,axiom,
( ~ p121
| ~ p1
| p118 ),
file('<stdin>',ax1417) ).
thf(pax13,axiom,
( p13
=> ! [X207: produc1418842292n_game,X203: set_variable,X208: trm,X209: trm] :
( ( fuSubst516392804stappf @ X207 @ X203 @ ( fgeq @ X208 @ X209 ) )
= ( fuSubst152838031e_Geqo @ ( fuSubst516392818stappt @ X207 @ X203 @ X208 ) @ ( fuSubst516392818stappt @ X207 @ X203 @ X209 ) ) ) ),
file('<stdin>',pax13) ).
thf(pax118,axiom,
( p118
=> ( fnone_trm
= ( fuSubst516392818stappt @ fsigma @ fua @ ftheta ) ) ),
file('<stdin>',pax118) ).
thf(ax1537,axiom,
p1,
file('<stdin>',ax1537) ).
thf(pax10,axiom,
( p10
=> ! [X215: option_trm] :
( ( fuSubst152838031e_Geqo @ fnone_trm @ X215 )
= fnone_fml ) ),
file('<stdin>',pax10) ).
thf(nax3,axiom,
( p3
<= ( ( fuSubst516392804stappf @ fsigma @ fua @ ( fgeq @ ftheta @ feta ) )
= fnone_fml ) ),
file('<stdin>',nax3) ).
thf(ax1535,axiom,
~ p3,
file('<stdin>',ax1535) ).
thf(ax1525,axiom,
p13,
file('<stdin>',ax1525) ).
thf(ax1528,axiom,
p10,
file('<stdin>',ax1528) ).
thf(c_0_12,plain,
( ~ p119
| p120 ),
inference(fof_simplification,[status(thm)],[ax1419]) ).
thf(c_0_13,plain,
( ~ p120
| p121 ),
inference(fof_simplification,[status(thm)],[ax1418]) ).
thf(c_0_14,plain,
( p120
| ~ p119 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_15,plain,
p119,
inference(split_conjunct,[status(thm)],[ax1420]) ).
thf(c_0_16,plain,
( ~ p121
| ~ p1
| p118 ),
inference(fof_simplification,[status(thm)],[ax1417]) ).
thf(c_0_17,plain,
( p121
| ~ p120 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_18,plain,
p120,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).
thf(c_0_19,plain,
! [X1742: produc1418842292n_game,X1743: set_variable,X1744: trm,X1745: trm] :
( ~ p13
| ( ( fuSubst516392804stappf @ X1742 @ X1743 @ ( fgeq @ X1744 @ X1745 ) )
= ( fuSubst152838031e_Geqo @ ( fuSubst516392818stappt @ X1742 @ X1743 @ X1744 ) @ ( fuSubst516392818stappt @ X1742 @ X1743 @ X1745 ) ) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax13])])]) ).
thf(c_0_20,plain,
( ~ p118
| ( fnone_trm
= ( fuSubst516392818stappt @ fsigma @ fua @ ftheta ) ) ),
inference(fof_nnf,[status(thm)],[pax118]) ).
thf(c_0_21,plain,
( p118
| ~ p121
| ~ p1 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_22,plain,
p1,
inference(split_conjunct,[status(thm)],[ax1537]) ).
thf(c_0_23,plain,
p121,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
thf(c_0_24,plain,
! [X1766: option_trm] :
( ~ p10
| ( ( fuSubst152838031e_Geqo @ fnone_trm @ X1766 )
= fnone_fml ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax10])])]) ).
thf(c_0_25,plain,
( ( ( fuSubst516392804stappf @ fsigma @ fua @ ( fgeq @ ftheta @ feta ) )
!= fnone_fml )
| p3 ),
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax3])]) ).
thf(c_0_26,plain,
~ p3,
inference(fof_simplification,[status(thm)],[ax1535]) ).
thf(c_0_27,plain,
! [X1: trm,X5: produc1418842292n_game,X3: set_variable,X2: trm] :
( ( ( fuSubst516392804stappf @ X5 @ X3 @ ( fgeq @ X1 @ X2 ) )
= ( fuSubst152838031e_Geqo @ ( fuSubst516392818stappt @ X5 @ X3 @ X1 ) @ ( fuSubst516392818stappt @ X5 @ X3 @ X2 ) ) )
| ~ p13 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_28,plain,
p13,
inference(split_conjunct,[status(thm)],[ax1525]) ).
thf(c_0_29,plain,
( ( fnone_trm
= ( fuSubst516392818stappt @ fsigma @ fua @ ftheta ) )
| ~ p118 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_30,plain,
p118,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
thf(c_0_31,plain,
! [X15: option_trm] :
( ( ( fuSubst152838031e_Geqo @ fnone_trm @ X15 )
= fnone_fml )
| ~ p10 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_32,plain,
p10,
inference(split_conjunct,[status(thm)],[ax1528]) ).
thf(c_0_33,plain,
( p3
| ( ( fuSubst516392804stappf @ fsigma @ fua @ ( fgeq @ ftheta @ feta ) )
!= fnone_fml ) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_34,plain,
~ p3,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_35,plain,
! [X1: trm,X5: produc1418842292n_game,X3: set_variable,X2: trm] :
( ( fuSubst152838031e_Geqo @ ( fuSubst516392818stappt @ X5 @ X3 @ X1 ) @ ( fuSubst516392818stappt @ X5 @ X3 @ X2 ) )
= ( fuSubst516392804stappf @ X5 @ X3 @ ( fgeq @ X1 @ X2 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]) ).
thf(c_0_36,plain,
( ( fuSubst516392818stappt @ fsigma @ fua @ ftheta )
= fnone_trm ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
thf(c_0_37,plain,
! [X15: option_trm] :
( ( fuSubst152838031e_Geqo @ fnone_trm @ X15 )
= fnone_fml ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]) ).
thf(c_0_38,plain,
( fuSubst516392804stappf @ fsigma @ fua @ ( fgeq @ ftheta @ feta ) )
!= fnone_fml,
inference(sr,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_39,plain,
! [X1: trm] :
( ( fuSubst516392804stappf @ fsigma @ fua @ ( fgeq @ ftheta @ X1 ) )
= fnone_fml ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
thf(c_0_40,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]),
[proof] ).
thf(1,plain,
$false,
inference(eprover,[status(thm),assumptions([h0])],]) ).
thf(0,theorem,
( uSubst516392818stappt @ sigma @ ua @ theta )
!= none_trm,
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP200^1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 3 19:31:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 47.68/46.86 % SZS status Theorem
% 47.68/46.86 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 47.68/46.86 % Inferences: 3980
% 47.68/46.86 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------