TSTP Solution File: SEU957^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEU957^5 : 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 : n011.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 : Tue Jul 19 14:11:01 EDT 2022
% Result : Theorem 41.90s 42.06s
% Output : Proof 41.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 74 ( 25 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 139 ( 53 ~; 13 |; 3 &; 53 @)
% ( 0 <=>; 16 =>; 1 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 12 con; 0-2 aty)
% Number of variables : 45 ( 0 ^ 45 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(cTHM607_pme,conjecture,
( ~ ! [X1: ( a > $o ) > a] :
~ ! [X2: a > $o] :
( ~ ! [X3: a] :
~ ( X2 @ X3 )
=> ( X2 @ ( X1 @ X2 ) ) )
=> ( ~ ! [X1: a > b] :
~ ! [X2: b] :
~ ! [X3: a] :
( ( X1 @ X3 )
!= X2 )
=> ~ ! [X1: b > a] :
~ ! [X2: b,X3: b] :
( ( ( X1 @ X2 )
= ( X1 @ X3 ) )
=> ( X2 = X3 ) ) ) ) ).
thf(h0,negated_conjecture,
~ ( ~ ! [X1: ( a > $o ) > a] :
~ ! [X2: a > $o] :
( ~ ! [X3: a] :
~ ( X2 @ X3 )
=> ( X2 @ ( X1 @ X2 ) ) )
=> ( ~ ! [X1: a > b] :
~ ! [X2: b] :
~ ! [X3: a] :
( ( X1 @ X3 )
!= X2 )
=> ~ ! [X1: b > a] :
~ ! [X2: b,X3: b] :
( ( ( X1 @ X2 )
= ( X1 @ X3 ) )
=> ( X2 = X3 ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM607_pme]) ).
thf(ax9493,axiom,
( p1
| ~ p3 ),
file('<stdin>',ax9493) ).
thf(ax9495,axiom,
~ p1,
file('<stdin>',ax9495) ).
thf(nax3,axiom,
( p3
<= ( ~ ! [X754: a > b] :
~ ! [X748: b] :
~ ! [X755: a] :
( ( X754 @ X755 )
!= X748 )
=> ~ ! [X756: b > a] :
~ ! [X748: b,X757: b] :
( ( ( X756 @ X748 )
= ( X756 @ X757 ) )
=> ( X748 = X757 ) ) ) ),
file('<stdin>',nax3) ).
thf(pax6,axiom,
( p6
=> ! [X747: b > a] :
~ ! [X748: b,X749: b] :
( ( ( X747 @ X748 )
= ( X747 @ X749 ) )
=> ( X748 = X749 ) ) ),
file('<stdin>',pax6) ).
thf(ax9490,axiom,
( p3
| p6 ),
file('<stdin>',ax9490) ).
thf(c_0_5,plain,
( p1
| ~ p3 ),
inference(fof_simplification,[status(thm)],[ax9493]) ).
thf(c_0_6,plain,
~ p1,
inference(fof_simplification,[status(thm)],[ax9495]) ).
thf(c_0_7,plain,
( p1
| ~ p3 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
~ p1,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_9,plain,
! [X2075: b,X2077: b > a] :
( ( ( ( esk658_0 @ ( esk659_1 @ X2075 ) )
= X2075 )
| p3 )
& ( ( ( X2077 @ ( esk660_1 @ X2077 ) )
= ( X2077 @ ( esk661_1 @ X2077 ) ) )
| p3 )
& ( ( ( esk660_1 @ X2077 )
!= ( esk661_1 @ X2077 ) )
| p3 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax3])])])])])]) ).
thf(c_0_10,plain,
! [X2056: b > a] :
( ( ( ( X2056 @ ( esk650_1 @ X2056 ) )
= ( X2056 @ ( esk651_1 @ X2056 ) ) )
| ~ p6 )
& ( ( ( esk650_1 @ X2056 )
!= ( esk651_1 @ X2056 ) )
| ~ p6 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax6])])])])]) ).
thf(c_0_11,plain,
( p3
| p6 ),
inference(split_conjunct,[status(thm)],[ax9490]) ).
thf(c_0_12,plain,
~ p3,
inference(sr,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_13,plain,
! [X1: b] :
( ( ( esk658_0 @ ( esk659_1 @ X1 ) )
= X1 )
| p3 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,plain,
! [X747: b > a] :
( ( ( X747 @ ( esk650_1 @ X747 ) )
= ( X747 @ ( esk651_1 @ X747 ) ) )
| ~ p6 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,plain,
p6,
inference(sr,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_16,plain,
! [X747: b > a] :
( ( ( esk650_1 @ X747 )
!= ( esk651_1 @ X747 ) )
| ~ p6 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_17,plain,
! [X1: b] :
( ( esk658_0 @ ( esk659_1 @ X1 ) )
= X1 ),
inference(sr,[status(thm)],[c_0_13,c_0_12]) ).
thf(c_0_18,plain,
! [X747: b > a] :
( ( X747 @ ( esk650_1 @ X747 ) )
= ( X747 @ ( esk651_1 @ X747 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).
thf(c_0_19,plain,
! [X747: b > a] :
( ( esk650_1 @ X747 )
!= ( esk651_1 @ X747 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_15])]) ).
thf(c_0_20,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_17]),c_0_19]),
[proof] ).
thf(1,plain,
$false,
inference(eprover,[status(thm),assumptions([h0])],]) ).
thf(0,theorem,
( ~ ! [X1: ( a > $o ) > a] :
~ ! [X2: a > $o] :
( ~ ! [X3: a] :
~ ( X2 @ X3 )
=> ( X2 @ ( X1 @ X2 ) ) )
=> ( ~ ! [X1: a > b] :
~ ! [X2: b] :
~ ! [X3: a] :
( ( X1 @ X3 )
!= X2 )
=> ~ ! [X1: b > a] :
~ ! [X2: b,X3: b] :
( ( ( X1 @ X2 )
= ( X1 @ X3 ) )
=> ( X2 = X3 ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU957^5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n011.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 : Mon Jun 20 12:49:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 41.90/42.06 % SZS status Theorem
% 41.90/42.06 % Mode: mode485
% 41.90/42.06 % Inferences: 1357
% 41.90/42.06 % SZS output start Proof
% See solution above
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