TSTP Solution File: SYO017^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO017^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 : Tue May 21 08:44:14 EDT 2024
% Result : Theorem 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 1 unt; 1 typ; 0 def)
% Number of atoms : 2712 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2620 ( 193 avg)
% Number of connectives : 3706 (1008 ~;1410 |; 223 &;1060 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 226 ( 21 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 1 usr; 2 con; 0-1 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
h: $o > $o ).
thf(conj,conjecture,
( ( h
@ ( ( h @ $true )
<=> ( h @ ~ $true ) ) )
<=> ( h @ ~ $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(c_0_1,negated_conjecture,
~ ( ( ( ~ ( ( h @ $true )
<=> ( ( ~ ~ $true
| ( h @ $true ) )
& ( ~ $true
| ( h @ $false ) ) ) )
| ( h @ $true ) )
& ( ( ( h @ $true )
<=> ( ( ~ ~ $true
| ( h @ $true ) )
& ( ~ $true
| ( h @ $false ) ) ) )
| ( h @ $false ) ) )
<=> ( ( ~ ~ $true
| ( h @ $true ) )
& ( ~ $true
| ( h @ $false ) ) ) ),
inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]) ).
thf(c_0_2,negated_conjecture,
( ( $true
| ~ $true
| $true
| ~ $true
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| $true
| ~ $true
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| $true
| ~ $true
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| $true
| ~ $true
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| $true
| ( h @ $true )
| ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| $true
| ( h @ $true )
| ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| ~ $true
| ( h @ $false )
| ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ $true
| ( h @ $false )
| ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| ~ ( h @ $false )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ ( h @ $false )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $false )
| $true
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| $true
| ~ $true
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| $true
| ~ $true
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| $true
| ~ $true
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| $true
| ( h @ $true )
| ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| $true
| ( h @ $true )
| ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| ~ $true
| ( h @ $false )
| ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ $true
| ( h @ $false )
| ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| ~ ( h @ $false )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ ( h @ $false )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| $true
| ~ $true
| ~ ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| $true
| ~ $true
| ~ ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| $true
| ~ $true
| ~ ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ $true
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ $true
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ $true
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ $true
| $true
| ( h @ $true )
| ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| $true
| ( h @ $true )
| ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ $true
| ~ $true
| ( h @ $false )
| ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ $true
| ( h @ $false )
| ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ( h @ $true )
| $true
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ $true
| ~ ( h @ $false )
| $true
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ ( h @ $false )
| $true
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| $true
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $false )
| $true
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| $true
| ~ $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| $true
| ~ $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| $true
| ~ $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ $true
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ $true
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ $true
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ $true
| $true
| ( h @ $true )
| ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| $true
| ( h @ $true )
| ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ $true
| ~ $true
| ( h @ $false )
| ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ $true
| ( h @ $false )
| ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ $true
| ~ ( h @ $false )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ ( h @ $false )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ ( h @ $true )
| $true
| ~ ( h @ $true )
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| $true
| ~ $true
| ~ ( h @ $true )
| $true
| ~ ( h @ $true )
| ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| $true
| ~ $true
| ~ ( h @ $true )
| $true
| ~ ( h @ $true )
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| $true
| ~ $true
| ~ ( h @ $true )
| $true
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| ( h @ $true ) )
& ( $true
| ~ $true
| ~ ( h @ $false )
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& ( ~ ( h @ $false )
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| $true
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| ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
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| $true
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| ( h @ $true ) )
& ( ~ ( h @ $false )
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& ( $true
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| $true
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| ( h @ $true ) )
& ( $true
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| ( h @ $true ) )
& ( ~ ( h @ $false )
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| $true
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| $true
| ~ ( h @ $true )
| ( h @ $true ) )
& ( $true
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| ~ ( h @ $false )
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& ( ~ ( h @ $false )
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| ( h @ $true ) )
& ( $true
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| $true
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| ( h @ $true ) )
& ( ~ ( h @ $false )
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| $true
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& ( $true
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| $true
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| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| $true
| ( h @ $true )
| ( h @ $true )
| $true
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| ( h @ $true ) )
& ( $true
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| $true
| ( h @ $true )
| ( h @ $true )
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| ( h @ $true ) )
& ( ~ ( h @ $false )
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| $true
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& ( $true
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& ( ~ ( h @ $false )
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| $true
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| $true
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& ( ~ ( h @ $false )
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| $true
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& ( $true
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& ( ~ ( h @ $false )
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| $true
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& ( $true
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& ( ~ ( h @ $false )
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| ( h @ $true ) )
& ( $true
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& ( $true
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| $true
| ( h @ $true )
| ( h @ $true )
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& ( ~ ( h @ $false )
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| $true
| ( h @ $true )
| ( h @ $true )
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& ( $true
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| $true
| ( h @ $true )
| ( h @ $true )
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| ( h @ $true ) )
& ( ~ ( h @ $false )
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| $true
| ( h @ $true )
| ( h @ $true )
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| ( h @ $true ) )
& ( $true
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| ( h @ $false )
| ( h @ $true )
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& ( ~ ( h @ $false )
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| ( h @ $false )
| ( h @ $true )
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& ( $true
| ~ ( h @ $true )
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| ( h @ $false )
| ( h @ $true )
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| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ( h @ $true ) )
& ( $true
| ~ $true
| ~ ( h @ $false )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ ( h @ $false )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ( h @ $true ) )
& ( $true
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| ~ ( h @ $false )
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| ( h @ $true ) )
& ( ~ ( h @ $false )
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| ~ ( h @ $false )
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& ( $true
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| $true
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& ( ~ ( h @ $false )
| ~ $true
| $true
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& ( $true
| ~ ( h @ $true )
| $true
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| ~ ( h @ $true )
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& ( ~ ( h @ $false )
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| $true
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& ( $true
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& ( ~ ( h @ $false )
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& ( $true
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& ( ~ ( h @ $false )
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& ( $true
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| $true
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& ( ~ ( h @ $false )
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| $true
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& ( $true
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| $true
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& ( ~ ( h @ $false )
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| $true
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& ( $true
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& ( ~ ( h @ $false )
| ~ $true
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| ~ ( h @ $true )
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& ( $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
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& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| $true
| ( h @ $true )
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| $true
| ( h @ $true )
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| $true
| ( h @ $true )
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| ~ $true
| ( h @ $false )
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ $true
| ( h @ $false )
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ( h @ $true )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ $true
| ( h @ $false )
| ( h @ $true )
| ~ ( h @ $true ) )
& ( $true
| ~ $true
| ~ ( h @ $false )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ $true
| ~ ( h @ $false )
| ~ ( h @ $true ) )
& ( $true
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $true ) )
& ( ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $true ) )
& ( $true
| ( h @ $true )
| $true
| ~ $true
| ~ ( h @ $true )
| ( h @ $true ) )
& ( ~ $true
| ( h @ $false )
| $true
| ~ $true
| ~ ( h @ $true )
| ( h @ $true ) )
& ( $true
| ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| ( h @ $true ) )
& ( ~ $true
| ( h @ $false )
| ~ ( h @ $false )
| ~ $true
| ~ ( h @ $true )
| ( h @ $true ) )
& ( $true
| ( h @ $true )
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| ( h @ $true ) )
& ( ~ $true
| ( h @ $false )
| $true
| ~ ( h @ $true )
| ~ ( h @ $true )
| ( h @ $true ) )
& ( $true
| ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| ( h @ $true ) )
& ( ~ $true
| ( h @ $false )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ~ ( h @ $true )
| ( h @ $true ) )
& ( $true
| ( h @ $true )
| $true
| ( h @ $true )
| ( h @ $true )
| ( h @ $true ) )
& ( ~ $true
| ( h @ $false )
| $true
| ( h @ $true )
| ( h @ $true )
| ( h @ $true ) )
& ( $true
| ( h @ $true )
| ~ $true
| ( h @ $false )
| ( h @ $true )
| ( h @ $true ) )
& ( ~ $true
| ( h @ $false )
| ~ $true
| ( h @ $false )
| ( h @ $true )
| ( h @ $true ) )
& ( $true
| ( h @ $true )
| $true
| ( h @ $true )
| ~ ( h @ $true )
| ( h @ $false ) )
& ( ~ $true
| ( h @ $false )
| $true
| ( h @ $true )
| ~ ( h @ $true )
| ( h @ $false ) )
& ( $true
| ( h @ $true )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true )
| ( h @ $false ) )
& ( ~ $true
| ( h @ $false )
| ~ $true
| ( h @ $false )
| ~ ( h @ $true )
| ( h @ $false ) )
& ( $true
| ( h @ $true )
| $true
| ~ $true
| ( h @ $true )
| ( h @ $false ) )
& ( ~ $true
| ( h @ $false )
| $true
| ~ $true
| ( h @ $true )
| ( h @ $false ) )
& ( $true
| ( h @ $true )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true )
| ( h @ $false ) )
& ( ~ $true
| ( h @ $false )
| ~ ( h @ $false )
| ~ $true
| ( h @ $true )
| ( h @ $false ) )
& ( $true
| ( h @ $true )
| $true
| ~ ( h @ $true )
| ( h @ $true )
| ( h @ $false ) )
& ( ~ $true
| ( h @ $false )
| $true
| ~ ( h @ $true )
| ( h @ $true )
| ( h @ $false ) )
& ( $true
| ( h @ $true )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ( h @ $true )
| ( h @ $false ) )
& ( ~ $true
| ( h @ $false )
| ~ ( h @ $false )
| ~ ( h @ $true )
| ( h @ $true )
| ( h @ $false ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
thf(c_0_3,negated_conjecture,
( ( h @ $true )
| ~ ( h @ ~ $true )
| ~ $true
| ~ ( h @ ~ $true )
| ~ ( h @ ~ $true )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( ( h @ ~ $true )
| ( h @ ~ $true )
| ( h @ $true )
| ( h @ $true )
| ~ $true
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
( ( h @ ~ $true )
| ( h @ ~ $true )
| ( h @ ~ $true )
| ~ $true
| ~ $true
| ~ ( h @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
( ( h @ $true )
| ~ ( h @ ~ $true ) ),
inference(cn,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
( ( h @ $true )
| ( h @ ~ $true ) ),
inference(cn,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
( ~ ( h @ ~ $true )
| ~ ( h @ $true )
| ~ ( h @ ~ $true )
| ~ ( h @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
( ( h @ ~ $true )
| ~ ( h @ $true ) ),
inference(cn,[status(thm)],[c_0_5]) ).
thf(c_0_10,negated_conjecture,
h @ $true,
inference(csr,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_11,negated_conjecture,
( ~ ( h @ $true )
| ~ ( h @ ~ $true ) ),
inference(cn,[status(thm)],[c_0_8]) ).
thf(c_0_12,negated_conjecture,
h @ ~ $true,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
thf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_10])]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SYO017^1 : TPTP v8.2.0. Released v3.7.0.
% 0.05/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon May 20 09:20:52 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running higher-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 # Version: 3.1.0-ho
% 0.17/0.45 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.45 # Starting ho_unfolding_6 with 300s (1) cores
% 0.17/0.45 # Starting sh4l with 300s (1) cores
% 0.17/0.45 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.17/0.45 # new_ho_10 with pid 15274 completed with status 0
% 0.17/0.45 # Result found by new_ho_10
% 0.17/0.45 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.45 # No SInE strategy applied
% 0.17/0.45 # Search class: HGHNF-FFSF00-SFFFFFNN
% 0.17/0.45 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.45 # Starting new_ho_10 with 901s (1) cores
% 0.17/0.45 # Starting ehoh_best8_lambda with 151s (1) cores
% 0.17/0.45 # Starting ho_unfolding_6 with 151s (1) cores
% 0.17/0.45 # Starting sh4l with 151s (1) cores
% 0.17/0.45 # Starting ehoh_best_nonlift_rwall with 146s (1) cores
% 0.17/0.45 # ehoh_best8_lambda with pid 15279 completed with status 0
% 0.17/0.45 # Result found by ehoh_best8_lambda
% 0.17/0.45 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.45 # No SInE strategy applied
% 0.17/0.45 # Search class: HGHNF-FFSF00-SFFFFFNN
% 0.17/0.45 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.45 # Starting new_ho_10 with 901s (1) cores
% 0.17/0.45 # Starting ehoh_best8_lambda with 151s (1) cores
% 0.17/0.45 # Preprocessing time : 0.001 s
% 0.17/0.45 # Presaturation interreduction done
% 0.17/0.45
% 0.17/0.45 # Proof found!
% 0.17/0.45 # SZS status Theorem
% 0.17/0.45 # SZS output start CNFRefutation
% See solution above
% 0.17/0.45 # Parsed axioms : 2
% 0.17/0.45 # Removed by relevancy pruning/SinE : 0
% 0.17/0.45 # Initial clauses : 221
% 0.17/0.45 # Removed in clause preprocessing : 212
% 0.17/0.45 # Initial clauses in saturation : 9
% 0.17/0.45 # Processed clauses : 8
% 0.17/0.45 # ...of these trivial : 0
% 0.17/0.45 # ...subsumed : 3
% 0.17/0.45 # ...remaining for further processing : 4
% 0.17/0.45 # Other redundant clauses eliminated : 0
% 0.17/0.45 # Clauses deleted for lack of memory : 0
% 0.17/0.45 # Backward-subsumed : 0
% 0.17/0.45 # Backward-rewritten : 2
% 0.17/0.45 # Generated clauses : 0
% 0.17/0.45 # ...of the previous two non-redundant : 1
% 0.17/0.45 # ...aggressively subsumed : 0
% 0.17/0.45 # Contextual simplify-reflections : 1
% 0.17/0.45 # Paramodulations : 0
% 0.17/0.45 # Factorizations : 0
% 0.17/0.45 # NegExts : 0
% 0.17/0.45 # Equation resolutions : 0
% 0.17/0.45 # Disequality decompositions : 0
% 0.17/0.45 # Total rewrite steps : 4
% 0.17/0.45 # ...of those cached : 2
% 0.17/0.45 # Propositional unsat checks : 0
% 0.17/0.45 # Propositional check models : 0
% 0.17/0.45 # Propositional check unsatisfiable : 0
% 0.17/0.45 # Propositional clauses : 0
% 0.17/0.45 # Propositional clauses after purity: 0
% 0.17/0.45 # Propositional unsat core size : 0
% 0.17/0.45 # Propositional preprocessing time : 0.000
% 0.17/0.45 # Propositional encoding time : 0.000
% 0.17/0.45 # Propositional solver time : 0.000
% 0.17/0.45 # Success case prop preproc time : 0.000
% 0.17/0.45 # Success case prop encoding time : 0.000
% 0.17/0.45 # Success case prop solver time : 0.000
% 0.17/0.45 # Current number of processed clauses : 2
% 0.17/0.45 # Positive orientable unit clauses : 2
% 0.17/0.45 # Positive unorientable unit clauses: 0
% 0.17/0.45 # Negative unit clauses : 0
% 0.17/0.45 # Non-unit-clauses : 0
% 0.17/0.45 # Current number of unprocessed clauses: 2
% 0.17/0.45 # ...number of literals in the above : 4
% 0.17/0.45 # Current number of archived formulas : 0
% 0.17/0.45 # Current number of archived clauses : 2
% 0.17/0.45 # Clause-clause subsumption calls (NU) : 4
% 0.17/0.45 # Rec. Clause-clause subsumption calls : 4
% 0.17/0.45 # Non-unit clause-clause subsumptions : 4
% 0.17/0.45 # Unit Clause-clause subsumption calls : 0
% 0.17/0.45 # Rewrite failures with RHS unbound : 0
% 0.17/0.45 # BW rewrite match attempts : 1
% 0.17/0.45 # BW rewrite match successes : 1
% 0.17/0.45 # Condensation attempts : 0
% 0.17/0.45 # Condensation successes : 0
% 0.17/0.45 # Termbank termtop insertions : 6600
% 0.17/0.45 # Search garbage collected termcells : 646
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.006 s
% 0.17/0.45 # System time : 0.003 s
% 0.17/0.45 # Total time : 0.009 s
% 0.17/0.45 # Maximum resident set size: 2236 pages
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.011 s
% 0.17/0.45 # System time : 0.011 s
% 0.17/0.45 # Total time : 0.023 s
% 0.17/0.45 # Maximum resident set size: 1684 pages
% 0.17/0.45 % E---3.1 exiting
% 0.17/0.45 % E exiting
%------------------------------------------------------------------------------