TSTP Solution File: SEV045^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV045^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.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 04:11:50 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 12
% Syntax : Number of formulae : 104 ( 90 unt; 11 typ; 0 def)
% Number of atoms : 788 ( 108 equ; 0 cnn)
% Maximal formula atoms : 19 ( 8 avg)
% Number of connectives : 1875 ( 6 ~; 0 |; 88 &;1390 @)
% ( 0 <=>; 194 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 7 usr; 5 con; 0-3 aty)
% ( 197 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 332 ( 213 ^ 118 !; 0 ?; 332 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_2,type,
g: a > b ).
thf(func_def_3,type,
f: a > b ).
thf(func_def_4,type,
cQ: a > b > b > $o ).
thf(func_def_5,type,
cP: a > a > $o ).
thf(func_def_20,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_21,type,
sK2: a ).
thf(func_def_22,type,
sK3: a ).
thf(f333,plain,
$false,
inference(trivial_inequality_removal,[],[f332]) ).
thf(f332,plain,
$true = $false,
inference(boolean_simplification,[],[f331]) ).
thf(f331,plain,
( $true = ~ $true ),
inference(forward_demodulation,[],[f330,f210]) ).
thf(f210,plain,
( $true
= ( cQ @ sK2 @ ( f @ sK3 ) @ ( f @ sK2 ) ) ),
inference(superposition,[],[f69,f202]) ).
thf(f202,plain,
! [X2: b,X1: b] :
( ( cQ @ sK2 @ X1 @ X2 )
= ( cQ @ sK3 @ X1 @ X2 ) ),
inference(argument_congruence,[],[f166]) ).
thf(f166,plain,
! [X1: b] :
( ( cQ @ sK3 @ X1 )
= ( cQ @ sK2 @ X1 ) ),
inference(argument_congruence,[],[f159]) ).
thf(f159,plain,
( ( cQ @ sK3 )
= ( cQ @ sK2 ) ),
inference(equality_proxy_clausification,[],[f107]) ).
thf(f107,plain,
( ( ( cQ @ sK3 )
= ( cQ @ sK2 ) )
= $true ),
inference(boolean_simplification,[],[f104]) ).
thf(f104,plain,
( ( $true
=> ( ( cQ @ sK3 )
= ( cQ @ sK2 ) ) )
= $true ),
inference(superposition,[],[f97,f59]) ).
thf(f59,plain,
( ( cP @ sK3 @ sK2 )
= $true ),
inference(binary_proxy_clausification,[],[f57]) ).
thf(f57,plain,
( ( ( cP @ sK3 @ sK2 )
=> ( cQ @ sK3 @ ( f @ sK3 ) @ ( g @ sK2 ) ) )
= $false ),
inference(beta_eta_normalization,[],[f56]) ).
thf(f56,plain,
( ( ^ [Y0: a] :
( ( cP @ Y0 @ sK2 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( g @ sK2 ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[],[f55]) ).
thf(f55,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ sK2 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( g @ sK2 ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f54]) ).
thf(f54,plain,
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cQ @ Y1 @ ( f @ Y1 ) @ ( g @ Y0 ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[],[f53]) ).
thf(f53,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cQ @ Y1 @ ( f @ Y1 ) @ ( g @ Y0 ) ) ) ) )
= $false ),
inference(boolean_simplification,[],[f52]) ).
thf(f52,plain,
( ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cQ @ Y1 @ ( f @ Y1 ) @ ( g @ Y0 ) ) ) ) ) )
= $false ),
inference(backward_demodulation,[],[f25,f51]) ).
thf(f51,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( cQ @ Y0 @ Y2 @ Y1 )
& ( cQ @ Y0 @ Y3 @ Y2 ) )
=> ( cQ @ Y0 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( cQ @ Y0 @ Y1 @ Y2 )
=> ( cQ @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( ( cQ @ Y1 )
= ( cQ @ Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f25]) ).
thf(f25,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( cQ @ Y0 @ Y2 @ Y1 )
& ( cQ @ Y0 @ Y3 @ Y2 ) )
=> ( cQ @ Y0 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( cQ @ Y0 @ Y1 @ Y2 )
=> ( cQ @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( ( cQ @ Y1 )
= ( cQ @ Y0 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cQ @ Y1 @ ( f @ Y1 ) @ ( g @ Y0 ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f22,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cP @ Y0 @ Y1 ) ) ) ) )
=> ( ( ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( cQ @ Y0 @ Y2 @ Y1 )
& ( cQ @ Y0 @ Y3 @ Y2 ) )
=> ( cQ @ Y0 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( cQ @ Y0 @ Y1 @ Y2 )
=> ( cQ @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( ( cQ @ Y1 )
= ( cQ @ Y0 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cQ @ Y1 @ ( f @ Y1 ) @ ( g @ Y0 ) ) ) ) ) ) )
= $false ),
inference(boolean_simplification,[],[f21]) ).
thf(f21,plain,
( ( $true
=> ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cP @ Y0 @ Y1 ) ) ) ) )
=> ( ( ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( cQ @ Y0 @ Y2 @ Y1 )
& ( cQ @ Y0 @ Y3 @ Y2 ) )
=> ( cQ @ Y0 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( cQ @ Y0 @ Y1 @ Y2 )
=> ( cQ @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( ( cQ @ Y1 )
= ( cQ @ Y0 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cQ @ Y1 @ ( f @ Y1 ) @ ( g @ Y0 ) ) ) ) ) ) ) )
= $false ),
inference(backward_demodulation,[],[f10,f20]) ).
thf(f20,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cQ @ Y1 @ ( f @ Y1 ) @ ( f @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f10]) ).
thf(f10,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cQ @ Y1 @ ( f @ Y1 ) @ ( f @ Y0 ) ) ) ) )
=> ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cP @ Y0 @ Y1 ) ) ) ) )
=> ( ( ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( cQ @ Y0 @ Y2 @ Y1 )
& ( cQ @ Y0 @ Y3 @ Y2 ) )
=> ( cQ @ Y0 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( cQ @ Y0 @ Y1 @ Y2 )
=> ( cQ @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( ( cQ @ Y1 )
= ( cQ @ Y0 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cQ @ Y1 @ ( f @ Y1 ) @ ( g @ Y0 ) ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f7]) ).
thf(f7,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( g @ Y0 ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cQ @ Y1 @ ( f @ Y1 ) @ ( f @ Y0 ) ) ) ) )
=> ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cP @ Y0 @ Y1 ) ) ) ) )
=> ( ( ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( cQ @ Y0 @ Y2 @ Y1 )
& ( cQ @ Y0 @ Y3 @ Y2 ) )
=> ( cQ @ Y0 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( cQ @ Y0 @ Y1 @ Y2 )
=> ( cQ @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( ( cQ @ Y1 )
= ( cQ @ Y0 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cQ @ Y1 @ ( f @ Y1 ) @ ( g @ Y0 ) ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( g @ Y0 ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cQ @ Y1 @ ( f @ Y1 ) @ ( f @ Y0 ) ) ) ) )
=> ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cP @ Y0 @ Y1 ) ) ) ) )
=> ( ( ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( cQ @ Y0 @ Y2 @ Y1 )
& ( cQ @ Y0 @ Y3 @ Y2 ) )
=> ( cQ @ Y0 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( cQ @ Y0 @ Y1 @ Y2 )
=> ( cQ @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( ( cQ @ Y1 )
= ( cQ @ Y0 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cQ @ Y1 @ ( f @ Y1 ) @ ( g @ Y0 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( g @ Y0 ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cQ @ Y1 @ ( f @ Y1 ) @ ( f @ Y0 ) ) ) ) )
=> ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cP @ Y0 @ Y1 ) ) ) ) )
=> ( ( ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( cQ @ Y0 @ Y2 @ Y1 )
& ( cQ @ Y0 @ Y3 @ Y2 ) )
=> ( cQ @ Y0 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( cQ @ Y0 @ Y1 @ Y2 )
=> ( cQ @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( ( cQ @ Y1 )
= ( cQ @ Y0 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cQ @ Y1 @ ( f @ Y1 ) @ ( g @ Y0 ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ! [X0: a] :
( ( cP @ X0 @ X0 )
=> ( cQ @ X0 @ ( f @ X0 ) @ ( g @ X0 ) ) )
=> ( ! [X1: a,X2: a] :
( ( cP @ X1 @ X2 )
=> ( cQ @ X1 @ ( f @ X1 ) @ ( f @ X2 ) ) )
=> ( ( ! [X3: a,X4: a] :
( ( cP @ X3 @ X4 )
=> ( cP @ X4 @ X3 ) )
& ! [X5: a,X6: a,X7: a] :
( ( ( cP @ X7 @ X6 )
& ( cP @ X6 @ X5 ) )
=> ( cP @ X7 @ X5 ) ) )
=> ( ( ! [X8: a,X9: a] :
( ( cP @ X8 @ X9 )
=> ( ( cQ @ X8 )
= ( cQ @ X9 ) ) )
& ! [X10: a] :
( ( cP @ X10 @ X10 )
=> ( ! [X11: b,X12: b] :
( ( cQ @ X10 @ X12 @ X11 )
=> ( cQ @ X10 @ X11 @ X12 ) )
& ! [X13: b,X14: b,X15: b] :
( ( ( cQ @ X10 @ X13 @ X14 )
& ( cQ @ X10 @ X14 @ X15 ) )
=> ( cQ @ X10 @ X13 @ X15 ) ) ) ) )
=> ! [X16: a,X17: a] :
( ( cP @ X16 @ X17 )
=> ( cQ @ X16 @ ( f @ X16 ) @ ( g @ X17 ) ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: a] :
( ( cP @ X0 @ X0 )
=> ( cQ @ X0 @ ( f @ X0 ) @ ( g @ X0 ) ) )
=> ( ! [X0: a,X1: a] :
( ( cP @ X0 @ X1 )
=> ( cQ @ X0 @ ( f @ X0 ) @ ( f @ X1 ) ) )
=> ( ( ! [X0: a,X1: a] :
( ( cP @ X0 @ X1 )
=> ( cP @ X1 @ X0 ) )
& ! [X2: a,X1: a,X0: a] :
( ( ( cP @ X0 @ X1 )
& ( cP @ X1 @ X2 ) )
=> ( cP @ X0 @ X2 ) ) )
=> ( ( ! [X0: a,X1: a] :
( ( cP @ X0 @ X1 )
=> ( ( cQ @ X0 )
= ( cQ @ X1 ) ) )
& ! [X0: a] :
( ( cP @ X0 @ X0 )
=> ( ! [X1: b,X3: b] :
( ( cQ @ X0 @ X3 @ X1 )
=> ( cQ @ X0 @ X1 @ X3 ) )
& ! [X3: b,X1: b,X2: b] :
( ( ( cQ @ X0 @ X3 @ X1 )
& ( cQ @ X0 @ X1 @ X2 ) )
=> ( cQ @ X0 @ X3 @ X2 ) ) ) ) )
=> ! [X0: a,X1: a] :
( ( cP @ X0 @ X1 )
=> ( cQ @ X0 @ ( f @ X0 ) @ ( g @ X1 ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ! [X0: a] :
( ( cP @ X0 @ X0 )
=> ( cQ @ X0 @ ( f @ X0 ) @ ( g @ X0 ) ) )
=> ( ! [X0: a,X1: a] :
( ( cP @ X0 @ X1 )
=> ( cQ @ X0 @ ( f @ X0 ) @ ( f @ X1 ) ) )
=> ( ( ! [X0: a,X1: a] :
( ( cP @ X0 @ X1 )
=> ( cP @ X1 @ X0 ) )
& ! [X2: a,X1: a,X0: a] :
( ( ( cP @ X0 @ X1 )
& ( cP @ X1 @ X2 ) )
=> ( cP @ X0 @ X2 ) ) )
=> ( ( ! [X0: a,X1: a] :
( ( cP @ X0 @ X1 )
=> ( ( cQ @ X0 )
= ( cQ @ X1 ) ) )
& ! [X0: a] :
( ( cP @ X0 @ X0 )
=> ( ! [X1: b,X3: b] :
( ( cQ @ X0 @ X3 @ X1 )
=> ( cQ @ X0 @ X1 @ X3 ) )
& ! [X3: b,X1: b,X2: b] :
( ( ( cQ @ X0 @ X3 @ X1 )
& ( cQ @ X0 @ X1 @ X2 ) )
=> ( cQ @ X0 @ X3 @ X2 ) ) ) ) )
=> ! [X0: a,X1: a] :
( ( cP @ X0 @ X1 )
=> ( cQ @ X0 @ ( f @ X0 ) @ ( g @ X1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM509_pme) ).
thf(f97,plain,
! [X2: a,X1: a] :
( $true
= ( ( cP @ X2 @ X1 )
=> ( ( cQ @ X2 )
= ( cQ @ X1 ) ) ) ),
inference(beta_eta_normalization,[],[f96]) ).
thf(f96,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( cP @ Y0 @ X1 )
=> ( ( cQ @ Y0 )
= ( cQ @ X1 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f93]) ).
thf(f93,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ X1 )
=> ( ( cQ @ Y0 )
= ( cQ @ X1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f92]) ).
thf(f92,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( ( cQ @ Y1 )
= ( cQ @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f89]) ).
thf(f89,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( ( cQ @ Y1 )
= ( cQ @ Y0 ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f88]) ).
thf(f88,plain,
( $true
= ( $true
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( ( cQ @ Y1 )
= ( cQ @ Y0 ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f51,f87]) ).
thf(f87,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( cQ @ Y0 @ Y2 @ Y1 )
& ( cQ @ Y0 @ Y3 @ Y2 ) )
=> ( cQ @ Y0 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( cQ @ Y0 @ Y1 @ Y2 )
=> ( cQ @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f51]) ).
thf(f69,plain,
( ( cQ @ sK3 @ ( f @ sK3 ) @ ( f @ sK2 ) )
= $true ),
inference(boolean_simplification,[],[f67]) ).
thf(f67,plain,
( ( $true
=> ( cQ @ sK3 @ ( f @ sK3 ) @ ( f @ sK2 ) ) )
= $true ),
inference(superposition,[],[f32,f59]) ).
thf(f32,plain,
! [X2: a,X1: a] :
( ( ( cP @ X2 @ X1 )
=> ( cQ @ X2 @ ( f @ X2 ) @ ( f @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f31]) ).
thf(f31,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( cP @ Y0 @ X1 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( f @ X1 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f24]) ).
thf(f24,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ X1 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( f @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[],[f23]) ).
thf(f23,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cQ @ Y1 @ ( f @ Y1 ) @ ( f @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f20]) ).
thf(f330,plain,
( ( ~ ( cQ @ sK2 @ ( f @ sK3 ) @ ( f @ sK2 ) ) )
= $true ),
inference(boolean_simplification,[],[f324]) ).
thf(f324,plain,
( $true
= ( ( cQ @ sK2 @ ( f @ sK3 ) @ ( f @ sK2 ) )
=> $false ) ),
inference(superposition,[],[f297,f205]) ).
thf(f205,plain,
( ( cQ @ sK2 @ ( f @ sK3 ) @ ( g @ sK2 ) )
= $false ),
inference(superposition,[],[f202,f61]) ).
thf(f61,plain,
( ( cQ @ sK3 @ ( f @ sK3 ) @ ( g @ sK2 ) )
= $false ),
inference(boolean_simplification,[],[f60]) ).
thf(f60,plain,
( ( $true
=> ( cQ @ sK3 @ ( f @ sK3 ) @ ( g @ sK2 ) ) )
= $false ),
inference(backward_demodulation,[],[f57,f59]) ).
thf(f297,plain,
! [X0: b] :
( $true
= ( ( cQ @ sK2 @ X0 @ ( f @ sK2 ) )
=> ( cQ @ sK2 @ X0 @ ( g @ sK2 ) ) ) ),
inference(boolean_simplification,[],[f288]) ).
thf(f288,plain,
! [X0: b] :
( $true
= ( ( $true
& ( cQ @ sK2 @ X0 @ ( f @ sK2 ) ) )
=> ( cQ @ sK2 @ X0 @ ( g @ sK2 ) ) ) ),
inference(superposition,[],[f266,f117]) ).
thf(f117,plain,
( ( cQ @ sK2 @ ( f @ sK2 ) @ ( g @ sK2 ) )
= $true ),
inference(boolean_simplification,[],[f109]) ).
thf(f109,plain,
( ( $true
=> ( cQ @ sK2 @ ( f @ sK2 ) @ ( g @ sK2 ) ) )
= $true ),
inference(superposition,[],[f17,f102]) ).
thf(f102,plain,
( $true
= ( cP @ sK2 @ sK2 ) ),
inference(boolean_simplification,[],[f100]) ).
thf(f100,plain,
( ( $true
=> ( cP @ sK2 @ sK2 ) )
= $true ),
inference(superposition,[],[f68,f73]) ).
thf(f73,plain,
( ( cP @ sK2 @ sK3 )
= $true ),
inference(boolean_simplification,[],[f65]) ).
thf(f65,plain,
( ( $true
=> ( cP @ sK2 @ sK3 ) )
= $true ),
inference(superposition,[],[f45,f59]) ).
thf(f45,plain,
! [X2: a,X1: a] :
( ( ( cP @ X2 @ X1 )
=> ( cP @ X1 @ X2 ) )
= $true ),
inference(beta_eta_normalization,[],[f44]) ).
thf(f44,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( cP @ Y0 @ X1 )
=> ( cP @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f41]) ).
thf(f41,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ X1 )
=> ( cP @ X1 @ Y0 ) ) ) ),
inference(beta_eta_normalization,[],[f40]) ).
thf(f40,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cP @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f34]) ).
thf(f34,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cP @ Y0 @ Y1 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f26]) ).
thf(f26,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cP @ Y1 @ Y0 )
=> ( cP @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f68,plain,
! [X0: a] :
( $true
= ( ( cP @ X0 @ sK3 )
=> ( cP @ X0 @ sK2 ) ) ),
inference(boolean_simplification,[],[f62]) ).
thf(f62,plain,
! [X0: a] :
( ( ( $true
& ( cP @ X0 @ sK3 ) )
=> ( cP @ X0 @ sK2 ) )
= $true ),
inference(superposition,[],[f47,f59]) ).
thf(f47,plain,
! [X2: a,X3: a,X1: a] :
( ( ( ( cP @ X2 @ X3 )
& ( cP @ X1 @ X2 ) )
=> ( cP @ X1 @ X3 ) )
= $true ),
inference(beta_eta_normalization,[],[f46]) ).
thf(f46,plain,
! [X2: a,X3: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( cP @ X2 @ Y0 )
& ( cP @ X1 @ X2 ) )
=> ( cP @ X1 @ Y0 ) )
@ X3 ) ),
inference(pi_clausification,[],[f43]) ).
thf(f43,plain,
! [X2: a,X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( cP @ X2 @ Y0 )
& ( cP @ X1 @ X2 ) )
=> ( cP @ X1 @ Y0 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f42]) ).
thf(f42,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( cP @ Y0 @ Y1 )
& ( cP @ X1 @ Y0 ) )
=> ( cP @ X1 @ Y1 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f39]) ).
thf(f39,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( cP @ Y0 @ Y1 )
& ( cP @ X1 @ Y0 ) )
=> ( cP @ X1 @ Y1 ) ) ) ) ),
inference(beta_eta_normalization,[],[f38]) ).
thf(f38,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f37]) ).
thf(f37,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f36]) ).
thf(f36,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) )
& $true )
= $true ),
inference(backward_demodulation,[],[f26,f34]) ).
thf(f17,plain,
! [X1: a] :
( ( ( cP @ X1 @ X1 )
=> ( cQ @ X1 @ ( f @ X1 ) @ ( g @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f16]) ).
thf(f16,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( g @ Y0 ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f11]) ).
thf(f11,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( g @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f7]) ).
thf(f266,plain,
! [X2: b,X3: b,X1: b] :
( ( ( ( cQ @ sK2 @ X2 @ X1 )
& ( cQ @ sK2 @ X3 @ X2 ) )
=> ( cQ @ sK2 @ X3 @ X1 ) )
= $true ),
inference(forward_demodulation,[],[f265,f202]) ).
thf(f265,plain,
! [X2: b,X3: b,X1: b] :
( $true
= ( ( ( cQ @ sK2 @ X2 @ X1 )
& ( cQ @ sK2 @ X3 @ X2 ) )
=> ( cQ @ sK3 @ X3 @ X1 ) ) ),
inference(forward_demodulation,[],[f264,f202]) ).
thf(f264,plain,
! [X2: b,X3: b,X1: b] :
( ( ( ( cQ @ sK2 @ X2 @ X1 )
& ( cQ @ sK3 @ X3 @ X2 ) )
=> ( cQ @ sK3 @ X3 @ X1 ) )
= $true ),
inference(forward_demodulation,[],[f263,f202]) ).
thf(f263,plain,
! [X2: b,X3: b,X1: b] :
( $true
= ( ( ( cQ @ sK3 @ X2 @ X1 )
& ( cQ @ sK3 @ X3 @ X2 ) )
=> ( cQ @ sK3 @ X3 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f262]) ).
thf(f262,plain,
! [X2: b,X3: b,X1: b] :
( $true
= ( ^ [Y0: b] :
( ( ( cQ @ sK3 @ X2 @ X1 )
& ( cQ @ sK3 @ Y0 @ X2 ) )
=> ( cQ @ sK3 @ Y0 @ X1 ) )
@ X3 ) ),
inference(pi_clausification,[],[f252]) ).
thf(f252,plain,
! [X2: b,X1: b] :
( $true
= ( !! @ b
@ ^ [Y0: b] :
( ( ( cQ @ sK3 @ X2 @ X1 )
& ( cQ @ sK3 @ Y0 @ X2 ) )
=> ( cQ @ sK3 @ Y0 @ X1 ) ) ) ),
inference(beta_eta_normalization,[],[f251]) ).
thf(f251,plain,
! [X2: b,X1: b] :
( ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( ( cQ @ sK3 @ Y0 @ X1 )
& ( cQ @ sK3 @ Y1 @ Y0 ) )
=> ( cQ @ sK3 @ Y1 @ X1 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f247]) ).
thf(f247,plain,
! [X1: b] :
( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( ( cQ @ sK3 @ Y0 @ X1 )
& ( cQ @ sK3 @ Y1 @ Y0 ) )
=> ( cQ @ sK3 @ Y1 @ X1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f245]) ).
thf(f245,plain,
! [X1: b] :
( ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( cQ @ sK3 @ Y1 @ Y0 )
& ( cQ @ sK3 @ Y2 @ Y1 ) )
=> ( cQ @ sK3 @ Y2 @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f244]) ).
thf(f244,plain,
( $true
= ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( cQ @ sK3 @ Y1 @ Y0 )
& ( cQ @ sK3 @ Y2 @ Y1 ) )
=> ( cQ @ sK3 @ Y2 @ Y0 ) ) ) ) ) ),
inference(boolean_simplification,[],[f243]) ).
thf(f243,plain,
( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( cQ @ sK3 @ Y1 @ Y0 )
& ( cQ @ sK3 @ Y2 @ Y1 ) )
=> ( cQ @ sK3 @ Y2 @ Y0 ) ) ) ) )
& $true ) ),
inference(backward_demodulation,[],[f176,f239]) ).
thf(f239,plain,
( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( cQ @ sK3 @ Y0 @ Y1 )
=> ( cQ @ sK3 @ Y1 @ Y0 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f176]) ).
thf(f176,plain,
( $true
= ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( cQ @ sK3 @ Y1 @ Y0 )
& ( cQ @ sK3 @ Y2 @ Y1 ) )
=> ( cQ @ sK3 @ Y2 @ Y0 ) ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( cQ @ sK3 @ Y0 @ Y1 )
=> ( cQ @ sK3 @ Y1 @ Y0 ) ) ) ) ) ),
inference(boolean_simplification,[],[f175]) ).
thf(f175,plain,
( ( $true
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( cQ @ sK3 @ Y1 @ Y0 )
& ( cQ @ sK3 @ Y2 @ Y1 ) )
=> ( cQ @ sK3 @ Y2 @ Y0 ) ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( cQ @ sK3 @ Y0 @ Y1 )
=> ( cQ @ sK3 @ Y1 @ Y0 ) ) ) ) ) )
= $true ),
inference(superposition,[],[f170,f134]) ).
thf(f134,plain,
( ( cP @ sK3 @ sK3 )
= $true ),
inference(boolean_simplification,[],[f132]) ).
thf(f132,plain,
( $true
= ( $true
=> ( cP @ sK3 @ sK3 ) ) ),
inference(superposition,[],[f70,f73]) ).
thf(f70,plain,
! [X0: a] :
( ( ( cP @ sK2 @ X0 )
=> ( cP @ sK3 @ X0 ) )
= $true ),
inference(boolean_simplification,[],[f63]) ).
thf(f63,plain,
! [X0: a] :
( $true
= ( ( ( cP @ sK2 @ X0 )
& $true )
=> ( cP @ sK3 @ X0 ) ) ),
inference(superposition,[],[f47,f59]) ).
thf(f170,plain,
! [X1: a] :
( ( ( cP @ X1 @ X1 )
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( cQ @ X1 @ Y1 @ Y0 )
& ( cQ @ X1 @ Y2 @ Y1 ) )
=> ( cQ @ X1 @ Y2 @ Y0 ) ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( cQ @ X1 @ Y0 @ Y1 )
=> ( cQ @ X1 @ Y1 @ Y0 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f169]) ).
thf(f169,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( cQ @ Y0 @ Y2 @ Y1 )
& ( cQ @ Y0 @ Y3 @ Y2 ) )
=> ( cQ @ Y0 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( cQ @ Y0 @ Y1 @ Y2 )
=> ( cQ @ Y0 @ Y2 @ Y1 ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV045^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 18:50:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % (19828)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37 % (19829)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.37 % (19829)Instruction limit reached!
% 0.14/0.37 % (19829)------------------------------
% 0.14/0.37 % (19829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (19829)Termination reason: Unknown
% 0.14/0.37 % (19829)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (19829)Memory used [KB]: 1023
% 0.14/0.37 % (19829)Time elapsed: 0.002 s
% 0.14/0.37 % (19829)Instructions burned: 3 (million)
% 0.14/0.37 % (19829)------------------------------
% 0.14/0.37 % (19829)------------------------------
% 0.14/0.38 % (19822)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.38 % (19827)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.38 % (19828)Instruction limit reached!
% 0.14/0.38 % (19828)------------------------------
% 0.14/0.38 % (19828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19828)Termination reason: Unknown
% 0.14/0.38 % (19828)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (19828)Memory used [KB]: 5628
% 0.14/0.38 % (19828)Time elapsed: 0.011 s
% 0.14/0.38 % (19828)Instructions burned: 19 (million)
% 0.14/0.38 % (19828)------------------------------
% 0.14/0.38 % (19828)------------------------------
% 0.14/0.38 % (19826)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (19825)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (19823)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.38 % (19826)Instruction limit reached!
% 0.14/0.38 % (19826)------------------------------
% 0.14/0.38 % (19826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19825)Instruction limit reached!
% 0.14/0.38 % (19825)------------------------------
% 0.14/0.38 % (19825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19825)Termination reason: Unknown
% 0.14/0.38 % (19825)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (19825)Memory used [KB]: 1023
% 0.14/0.38 % (19825)Time elapsed: 0.003 s
% 0.14/0.38 % (19825)Instructions burned: 3 (million)
% 0.14/0.38 % (19825)------------------------------
% 0.14/0.38 % (19825)------------------------------
% 0.14/0.38 % (19826)Termination reason: Unknown
% 0.14/0.38 % (19826)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (19826)Memory used [KB]: 1023
% 0.14/0.38 % (19826)Time elapsed: 0.003 s
% 0.14/0.38 % (19826)Instructions burned: 3 (million)
% 0.14/0.38 % (19826)------------------------------
% 0.14/0.38 % (19826)------------------------------
% 0.14/0.38 % (19823)Instruction limit reached!
% 0.14/0.38 % (19823)------------------------------
% 0.14/0.38 % (19823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19823)Termination reason: Unknown
% 0.14/0.38 % (19823)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (19823)Memory used [KB]: 5500
% 0.14/0.38 % (19823)Time elapsed: 0.004 s
% 0.14/0.38 % (19823)Instructions burned: 5 (million)
% 0.14/0.38 % (19823)------------------------------
% 0.14/0.38 % (19823)------------------------------
% 0.14/0.39 % (19830)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.39 % (19824)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.21/0.40 % (19831)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.40 % (19832)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.40 % (19833)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.21/0.40 % (19832)Instruction limit reached!
% 0.21/0.40 % (19832)------------------------------
% 0.21/0.40 % (19832)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (19832)Termination reason: Unknown
% 0.21/0.40 % (19832)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (19832)Memory used [KB]: 5500
% 0.21/0.40 % (19832)Time elapsed: 0.004 s
% 0.21/0.40 % (19832)Instructions burned: 3 (million)
% 0.21/0.40 % (19832)------------------------------
% 0.21/0.40 % (19832)------------------------------
% 0.21/0.40 % (19830)Instruction limit reached!
% 0.21/0.40 % (19830)------------------------------
% 0.21/0.40 % (19830)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (19830)Termination reason: Unknown
% 0.21/0.40 % (19830)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (19830)Memory used [KB]: 5628
% 0.21/0.40 % (19830)Time elapsed: 0.019 s
% 0.21/0.40 % (19830)Instructions burned: 37 (million)
% 0.21/0.40 % (19830)------------------------------
% 0.21/0.40 % (19830)------------------------------
% 0.21/0.40 % (19824)Instruction limit reached!
% 0.21/0.40 % (19824)------------------------------
% 0.21/0.40 % (19824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (19824)Termination reason: Unknown
% 0.21/0.40 % (19824)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (19824)Memory used [KB]: 5628
% 0.21/0.40 % (19824)Time elapsed: 0.020 s
% 0.21/0.40 % (19824)Instructions burned: 27 (million)
% 0.21/0.40 % (19824)------------------------------
% 0.21/0.40 % (19824)------------------------------
% 0.21/0.40 % (19831)Instruction limit reached!
% 0.21/0.40 % (19831)------------------------------
% 0.21/0.40 % (19831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (19831)Termination reason: Unknown
% 0.21/0.40 % (19831)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (19831)Memory used [KB]: 5628
% 0.21/0.40 % (19831)Time elapsed: 0.009 s
% 0.21/0.40 % (19831)Instructions burned: 15 (million)
% 0.21/0.40 % (19831)------------------------------
% 0.21/0.40 % (19831)------------------------------
% 0.21/0.41 % (19834)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (19834)Instruction limit reached!
% 0.21/0.41 % (19834)------------------------------
% 0.21/0.41 % (19834)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (19834)Termination reason: Unknown
% 0.21/0.41 % (19834)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (19834)Memory used [KB]: 1023
% 0.21/0.41 % (19834)Time elapsed: 0.005 s
% 0.21/0.41 % (19834)Instructions burned: 7 (million)
% 0.21/0.41 % (19834)------------------------------
% 0.21/0.41 % (19834)------------------------------
% 0.21/0.41 % (19835)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42 % (19836)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (19836)Instruction limit reached!
% 0.21/0.42 % (19836)------------------------------
% 0.21/0.42 % (19836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (19836)Termination reason: Unknown
% 0.21/0.42 % (19836)Termination phase: Twee Goal Transformation
% 0.21/0.42
% 0.21/0.42 % (19836)Memory used [KB]: 1023
% 0.21/0.42 % (19836)Time elapsed: 0.003 s
% 0.21/0.42 % (19836)Instructions burned: 3 (million)
% 0.21/0.42 % (19836)------------------------------
% 0.21/0.42 % (19836)------------------------------
% 0.21/0.42 % (19837)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (19838)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.42 % (19837)Instruction limit reached!
% 0.21/0.42 % (19837)------------------------------
% 0.21/0.42 % (19837)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (19837)Termination reason: Unknown
% 0.21/0.42 % (19837)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (19837)Memory used [KB]: 1023
% 0.21/0.42 % (19837)Time elapsed: 0.004 s
% 0.21/0.42 % (19837)Instructions burned: 4 (million)
% 0.21/0.42 % (19837)------------------------------
% 0.21/0.42 % (19837)------------------------------
% 0.21/0.42 % (19838)Refutation not found, incomplete strategy
% 0.21/0.42 % (19838)------------------------------
% 0.21/0.42 % (19838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (19838)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42
% 0.21/0.42 % (19838)Memory used [KB]: 5500
% 0.21/0.42 % (19838)Time elapsed: 0.003 s
% 0.21/0.42 % (19838)Instructions burned: 4 (million)
% 0.21/0.42 % (19838)------------------------------
% 0.21/0.42 % (19838)------------------------------
% 0.21/0.43 % (19835)Instruction limit reached!
% 0.21/0.43 % (19835)------------------------------
% 0.21/0.43 % (19835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (19835)Termination reason: Unknown
% 0.21/0.43 % (19835)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (19835)Memory used [KB]: 5628
% 0.21/0.43 % (19835)Time elapsed: 0.013 s
% 0.21/0.43 % (19835)Instructions burned: 16 (million)
% 0.21/0.43 % (19835)------------------------------
% 0.21/0.43 % (19835)------------------------------
% 0.21/0.43 % (19839)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.43 % (19839)Instruction limit reached!
% 0.21/0.43 % (19839)------------------------------
% 0.21/0.43 % (19839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (19839)Termination reason: Unknown
% 0.21/0.43 % (19839)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (19839)Memory used [KB]: 5500
% 0.21/0.43 % (19839)Time elapsed: 0.003 s
% 0.21/0.43 % (19839)Instructions burned: 4 (million)
% 0.21/0.43 % (19839)------------------------------
% 0.21/0.43 % (19839)------------------------------
% 0.21/0.43 % (19833)First to succeed.
% 0.21/0.43 % (19842)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.43 % (19841)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.43 % (19840)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.44 % (19833)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (19833)------------------------------
% 0.21/0.44 % (19833)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (19833)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (19833)Memory used [KB]: 5884
% 0.21/0.44 % (19833)Time elapsed: 0.037 s
% 0.21/0.44 % (19833)Instructions burned: 69 (million)
% 0.21/0.44 % (19833)------------------------------
% 0.21/0.44 % (19833)------------------------------
% 0.21/0.44 % (19821)Success in time 0.068 s
% 0.21/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------