TSTP Solution File: NUM739^4 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM739^4 : TPTP v8.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 01:15:53 EDT 2024
% Result : Theorem 1.23s 0.64s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 42
% Syntax : Number of formulae : 98 ( 43 unt; 24 typ; 0 def)
% Number of atoms : 363 ( 87 equ; 0 cnn)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 1414 ( 95 ~; 83 |; 13 &;1163 @)
% ( 0 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 48 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 7 con; 0-3 aty)
% Number of variables : 144 ( 94 ^ 50 !; 0 ?; 144 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
is_of: $i > ( $i > $o ) > $o ).
thf(decl_23,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf(decl_25,type,
in: $i > $i > $o ).
thf(decl_61,type,
imp: $o > $o > $o ).
thf(decl_62,type,
d_not: $o > $o ).
thf(decl_67,type,
l_or: $o > $o > $o ).
thf(decl_77,type,
e_is: $i > $i > $i > $o ).
thf(decl_124,type,
n_is: $i > $i > $o ).
thf(decl_127,type,
n_some: ( $i > $o ) > $o ).
thf(decl_147,type,
diffprop: $i > $i > $i > $o ).
thf(decl_148,type,
d_29_ii: $i > $i > $o ).
thf(decl_149,type,
iii: $i > $i > $o ).
thf(decl_162,type,
n_ts: $i > $i > $i ).
thf(decl_189,type,
frac: $i ).
thf(decl_191,type,
num: $i > $i ).
thf(decl_192,type,
den: $i > $i ).
thf(decl_193,type,
n_eq: $i > $i > $o ).
thf(decl_194,type,
moref: $i > $i > $o ).
thf(decl_195,type,
lessf: $i > $i > $o ).
thf(decl_196,type,
moreq: $i > $i > $o ).
thf(decl_198,type,
esk1_0: $i ).
thf(decl_199,type,
esk2_0: $i ).
thf(decl_200,type,
esk3_0: $i ).
thf(decl_201,type,
esk4_0: $i ).
thf(def_d_not,axiom,
( d_not
= ( ^ [X76: $o] : ( imp @ X76 @ ~ $true ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_d_not) ).
thf(def_imp,axiom,
( imp
= ( ^ [X74: $o,X75: $o] :
( X74
=> X75 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_imp) ).
thf(def_e_is,axiom,
( e_is
= ( ^ [X1: $i,X101: $i,X102: $i] : ( X101 = X102 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_e_is) ).
thf(def_moref,axiom,
( moref
= ( ^ [X1: $i,X449: $i] : ( d_29_ii @ ( n_ts @ ( num @ X1 ) @ ( den @ X449 ) ) @ ( n_ts @ ( num @ X449 ) @ ( den @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_moref) ).
thf(def_d_29_ii,axiom,
( d_29_ii
= ( ^ [X1: $i,X210: $i] : ( n_some @ ( diffprop @ X1 @ X210 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_d_29_ii) ).
thf(def_l_or,axiom,
( l_or
= ( ^ [X83: $o] : ( imp @ ( d_not @ X83 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_l_or) ).
thf(def_n_eq,axiom,
( n_eq
= ( ^ [X1: $i,X436: $i] : ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ X436 ) ) @ ( n_ts @ ( num @ X436 ) @ ( den @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_eq) ).
thf(def_n_is,axiom,
( n_is
= ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_n_is) ).
thf(def_all_of,axiom,
( all_of
= ( ^ [X3: $i > $o,X2: $i > $o] :
! [X4: $i] :
( ( is_of @ X4 @ X3 )
=> ( X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_all_of) ).
thf(def_is_of,axiom,
( is_of
= ( ^ [X1: $i,X2: $i > $o] : ( X2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_is_of) ).
thf(def_lessf,axiom,
( lessf
= ( ^ [X1: $i,X450: $i] : ( iii @ ( n_ts @ ( num @ X1 ) @ ( den @ X450 ) ) @ ( n_ts @ ( num @ X450 ) @ ( den @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_lessf) ).
thf(def_iii,axiom,
( iii
= ( ^ [X1: $i,X211: $i] : ( n_some @ ( diffprop @ X211 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_iii) ).
thf(def_moreq,axiom,
( moreq
= ( ^ [X1: $i,X465: $i] : ( l_or @ ( moref @ X1 @ X465 ) @ ( n_eq @ X1 @ X465 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_moreq) ).
thf(satz41f,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X473: $i] : ( in @ X473 @ frac )
@ ^ [X474: $i] :
( ( d_not @ ( lessf @ X1 @ X474 ) )
=> ( moreq @ X1 @ X474 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz41f) ).
thf(satz46,conjecture,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X483: $i] : ( in @ X483 @ frac )
@ ^ [X484: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ frac )
@ ^ [X4: $i] :
( all_of
@ ^ [X13: $i] : ( in @ X13 @ frac )
@ ^ [X13: $i] :
( ( moreq @ X1 @ X484 )
=> ( ( n_eq @ X1 @ X4 )
=> ( ( n_eq @ X484 @ X13 )
=> ( moreq @ X4 @ X13 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz46) ).
thf(satz41c,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X467: $i] : ( in @ X467 @ frac )
@ ^ [X468: $i] :
( ( moreq @ X1 @ X468 )
=> ( d_not @ ( lessf @ X1 @ X468 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz41c) ).
thf(satz45,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X463: $i] : ( in @ X463 @ frac )
@ ^ [X464: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ frac )
@ ^ [X4: $i] :
( all_of
@ ^ [X13: $i] : ( in @ X13 @ frac )
@ ^ [X13: $i] :
( ( lessf @ X1 @ X464 )
=> ( ( n_eq @ X1 @ X4 )
=> ( ( n_eq @ X464 @ X13 )
=> ( lessf @ X4 @ X13 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz45) ).
thf(satz39,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ frac )
@ ^ [X1: $i] :
( all_of
@ ^ [X439: $i] : ( in @ X439 @ frac )
@ ^ [X440: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ frac )
@ ^ [X4: $i] :
( ( n_eq @ X1 @ X440 )
=> ( ( n_eq @ X440 @ X4 )
=> ( n_eq @ X1 @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz39) ).
thf(c_0_18,plain,
( d_not
= ( ^ [Z0: $o] :
( Z0
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_d_not]) ).
thf(c_0_19,plain,
( imp
= ( ^ [Z0: $o,Z1: $o] :
( Z0
=> Z1 ) ) ),
inference(fof_simplification,[status(thm)],[def_imp]) ).
thf(c_0_20,plain,
( e_is
= ( ^ [Z0: $i,Z1: $i,Z2: $i] : ( Z1 = Z2 ) ) ),
inference(fof_simplification,[status(thm)],[def_e_is]) ).
thf(c_0_21,plain,
( moref
= ( ^ [Z0: $i,Z1: $i] : ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[def_moref]) ).
thf(c_0_22,plain,
( d_29_ii
= ( ^ [Z0: $i,Z1: $i] : ( n_some @ ( diffprop @ Z0 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_d_29_ii]) ).
thf(c_0_23,plain,
( l_or
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ~ $true )
=> Z1 ) ) ),
inference(fof_simplification,[status(thm)],[def_l_or]) ).
thf(c_0_24,plain,
( d_not
= ( ^ [Z0: $o] :
( Z0
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_25,plain,
( n_eq
= ( ^ [Z0: $i,Z1: $i] :
( ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) )
= ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[def_n_eq]) ).
thf(c_0_26,axiom,
( n_is
= ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
inference(apply_def,[status(thm)],[def_n_is,c_0_20]) ).
thf(c_0_27,plain,
( all_of
= ( ^ [Z0: $i > $o,Z1: $i > $o] :
! [X4: $i] :
( ( Z0 @ X4 )
=> ( Z1 @ X4 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_all_of]) ).
thf(c_0_28,plain,
( is_of
= ( ^ [Z0: $i,Z1: $i > $o] : ( Z1 @ Z0 ) ) ),
inference(fof_simplification,[status(thm)],[def_is_of]) ).
thf(c_0_29,plain,
( lessf
= ( ^ [Z0: $i,Z1: $i] : ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[def_lessf]) ).
thf(c_0_30,plain,
( iii
= ( ^ [Z0: $i,Z1: $i] : ( n_some @ ( diffprop @ Z1 @ Z0 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_iii]) ).
thf(c_0_31,plain,
( moreq
= ( ^ [Z0: $i,Z1: $i] :
( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) )
=> ~ $true )
=> ( ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) )
= ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[def_moreq]) ).
thf(c_0_32,plain,
( moref
= ( ^ [Z0: $i,Z1: $i] : ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_33,plain,
( l_or
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ~ $true )
=> Z1 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23,c_0_19]),c_0_24]) ).
thf(c_0_34,plain,
( n_eq
= ( ^ [Z0: $i,Z1: $i] :
( ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) )
= ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_35,plain,
( all_of
= ( ^ [Z0: $i > $o,Z1: $i > $o] :
! [X4: $i] :
( ( Z0 @ X4 )
=> ( Z1 @ X4 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_36,plain,
( lessf
= ( ^ [Z0: $i,Z1: $i] : ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_37,plain,
( moreq
= ( ^ [Z0: $i,Z1: $i] :
( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) )
=> ~ $true )
=> ( ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) )
= ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]) ).
thf(c_0_38,plain,
! [X532: $i] :
( ( in @ X532 @ frac )
=> ! [X531: $i] :
( ( in @ X531 @ frac )
=> ( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X531 ) @ ( den @ X532 ) ) @ ( n_ts @ ( num @ X532 ) @ ( den @ X531 ) ) ) )
=> ~ $true )
=> ( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X532 ) @ ( den @ X531 ) ) @ ( n_ts @ ( num @ X531 ) @ ( den @ X532 ) ) ) )
=> ~ $true )
=> ( ( n_ts @ ( num @ X532 ) @ ( den @ X531 ) )
= ( n_ts @ ( num @ X531 ) @ ( den @ X532 ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz41f]),c_0_35]),c_0_36]),c_0_24]),c_0_37]) ).
thf(c_0_39,negated_conjecture,
~ ! [X528: $i] :
( ( in @ X528 @ frac )
=> ! [X527: $i] :
( ( in @ X527 @ frac )
=> ! [X526: $i] :
( ( in @ X526 @ frac )
=> ! [X525: $i] :
( ( in @ X525 @ frac )
=> ( ( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X528 ) @ ( den @ X527 ) ) @ ( n_ts @ ( num @ X527 ) @ ( den @ X528 ) ) ) )
=> ~ $true )
=> ( ( n_ts @ ( num @ X528 ) @ ( den @ X527 ) )
= ( n_ts @ ( num @ X527 ) @ ( den @ X528 ) ) ) )
=> ( ( ( n_ts @ ( num @ X528 ) @ ( den @ X526 ) )
= ( n_ts @ ( num @ X526 ) @ ( den @ X528 ) ) )
=> ( ( ( n_ts @ ( num @ X527 ) @ ( den @ X525 ) )
= ( n_ts @ ( num @ X525 ) @ ( den @ X527 ) ) )
=> ( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X526 ) @ ( den @ X525 ) ) @ ( n_ts @ ( num @ X525 ) @ ( den @ X526 ) ) ) )
=> ~ $true )
=> ( ( n_ts @ ( num @ X526 ) @ ( den @ X525 ) )
= ( n_ts @ ( num @ X525 ) @ ( den @ X526 ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz46])]),c_0_35]),c_0_34]),c_0_37]) ).
thf(c_0_40,plain,
! [X530: $i] :
( ( in @ X530 @ frac )
=> ! [X529: $i] :
( ( in @ X529 @ frac )
=> ( ( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X530 ) @ ( den @ X529 ) ) @ ( n_ts @ ( num @ X529 ) @ ( den @ X530 ) ) ) )
=> ~ $true )
=> ( ( n_ts @ ( num @ X530 ) @ ( den @ X529 ) )
= ( n_ts @ ( num @ X529 ) @ ( den @ X530 ) ) ) )
=> ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X529 ) @ ( den @ X530 ) ) @ ( n_ts @ ( num @ X530 ) @ ( den @ X529 ) ) ) )
=> ~ $true ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz41c]),c_0_35]),c_0_36]),c_0_24]),c_0_37]) ).
thf(c_0_41,plain,
! [X877: $i,X878: $i] :
( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X877 ) @ ( den @ X878 ) ) @ ( n_ts @ ( num @ X878 ) @ ( den @ X877 ) ) ) )
| ( ( n_ts @ ( num @ X877 ) @ ( den @ X878 ) )
= ( n_ts @ ( num @ X878 ) @ ( den @ X877 ) ) )
| ( n_some @ ( diffprop @ ( n_ts @ ( num @ X878 ) @ ( den @ X877 ) ) @ ( n_ts @ ( num @ X877 ) @ ( den @ X878 ) ) ) )
| ~ ( in @ X878 @ frac )
| ~ ( in @ X877 @ frac ) )
& ( $true
| ( ( n_ts @ ( num @ X877 ) @ ( den @ X878 ) )
= ( n_ts @ ( num @ X878 ) @ ( den @ X877 ) ) )
| ( n_some @ ( diffprop @ ( n_ts @ ( num @ X878 ) @ ( den @ X877 ) ) @ ( n_ts @ ( num @ X877 ) @ ( den @ X878 ) ) ) )
| ~ ( in @ X878 @ frac )
| ~ ( in @ X877 @ frac ) )
& ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X877 ) @ ( den @ X878 ) ) @ ( n_ts @ ( num @ X878 ) @ ( den @ X877 ) ) ) )
| ( ( n_ts @ ( num @ X877 ) @ ( den @ X878 ) )
= ( n_ts @ ( num @ X878 ) @ ( den @ X877 ) ) )
| $true
| ~ ( in @ X878 @ frac )
| ~ ( in @ X877 @ frac ) )
& ( $true
| ( ( n_ts @ ( num @ X877 ) @ ( den @ X878 ) )
= ( n_ts @ ( num @ X878 ) @ ( den @ X877 ) ) )
| $true
| ~ ( in @ X878 @ frac )
| ~ ( in @ X877 @ frac ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])])]) ).
thf(c_0_42,negated_conjecture,
( ( in @ esk1_0 @ frac )
& ( in @ esk2_0 @ frac )
& ( in @ esk3_0 @ frac )
& ( in @ esk4_0 @ frac )
& ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) )
| ( ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) )
= ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) )
& ( $true
| ( ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) )
= ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) )
& ( ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk3_0 ) )
= ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk1_0 ) ) )
& ( ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk4_0 ) )
= ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk2_0 ) ) )
& ( ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) ) @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) ) )
| ~ $true )
& ( ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) )
!= ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])]) ).
thf(c_0_43,plain,
! [X875: $i,X876: $i] :
( ( ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X875 ) @ ( den @ X876 ) ) @ ( n_ts @ ( num @ X876 ) @ ( den @ X875 ) ) ) )
| ~ $true
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X876 ) @ ( den @ X875 ) ) @ ( n_ts @ ( num @ X875 ) @ ( den @ X876 ) ) ) )
| ~ $true
| ~ ( in @ X876 @ frac )
| ~ ( in @ X875 @ frac ) )
& ( ( ( n_ts @ ( num @ X875 ) @ ( den @ X876 ) )
!= ( n_ts @ ( num @ X876 ) @ ( den @ X875 ) ) )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X876 ) @ ( den @ X875 ) ) @ ( n_ts @ ( num @ X875 ) @ ( den @ X876 ) ) ) )
| ~ $true
| ~ ( in @ X876 @ frac )
| ~ ( in @ X875 @ frac ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])]) ).
thf(c_0_44,plain,
! [X563: $i] :
( ( in @ X563 @ frac )
=> ! [X562: $i] :
( ( in @ X562 @ frac )
=> ! [X561: $i] :
( ( in @ X561 @ frac )
=> ! [X560: $i] :
( ( in @ X560 @ frac )
=> ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X562 ) @ ( den @ X563 ) ) @ ( n_ts @ ( num @ X563 ) @ ( den @ X562 ) ) ) )
=> ( ( ( n_ts @ ( num @ X563 ) @ ( den @ X561 ) )
= ( n_ts @ ( num @ X561 ) @ ( den @ X563 ) ) )
=> ( ( ( n_ts @ ( num @ X562 ) @ ( den @ X560 ) )
= ( n_ts @ ( num @ X560 ) @ ( den @ X562 ) ) )
=> ( n_some @ ( diffprop @ ( n_ts @ ( num @ X560 ) @ ( den @ X561 ) ) @ ( n_ts @ ( num @ X561 ) @ ( den @ X560 ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz45]),c_0_35]),c_0_36]),c_0_34]) ).
thf(c_0_45,plain,
! [X4: $i,X1: $i] :
( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) ) )
| ( ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) )
= ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) )
| ( n_some @ ( diffprop @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) ) )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X1 @ frac ) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_46,negated_conjecture,
in @ esk4_0 @ frac,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_47,negated_conjecture,
( ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) ) @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) ) )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_48,plain,
! [X542: $i] :
( ( in @ X542 @ frac )
=> ! [X541: $i] :
( ( in @ X541 @ frac )
=> ! [X540: $i] :
( ( in @ X540 @ frac )
=> ( ( ( n_ts @ ( num @ X542 ) @ ( den @ X541 ) )
= ( n_ts @ ( num @ X541 ) @ ( den @ X542 ) ) )
=> ( ( ( n_ts @ ( num @ X541 ) @ ( den @ X540 ) )
= ( n_ts @ ( num @ X540 ) @ ( den @ X541 ) ) )
=> ( ( n_ts @ ( num @ X542 ) @ ( den @ X540 ) )
= ( n_ts @ ( num @ X540 ) @ ( den @ X542 ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz39]),c_0_35]),c_0_34]) ).
thf(c_0_49,plain,
! [X4: $i,X1: $i] :
( ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) ) )
| ~ $true
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) ) )
| ~ $true
| ~ ( in @ X4 @ frac )
| ~ ( in @ X1 @ frac ) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
thf(c_0_50,plain,
! [X908: $i,X909: $i,X910: $i,X911: $i] :
( ~ ( in @ X908 @ frac )
| ~ ( in @ X909 @ frac )
| ~ ( in @ X910 @ frac )
| ~ ( in @ X911 @ frac )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X909 ) @ ( den @ X908 ) ) @ ( n_ts @ ( num @ X908 ) @ ( den @ X909 ) ) ) )
| ( ( n_ts @ ( num @ X908 ) @ ( den @ X910 ) )
!= ( n_ts @ ( num @ X910 ) @ ( den @ X908 ) ) )
| ( ( n_ts @ ( num @ X909 ) @ ( den @ X911 ) )
!= ( n_ts @ ( num @ X911 ) @ ( den @ X909 ) ) )
| ( n_some @ ( diffprop @ ( n_ts @ ( num @ X911 ) @ ( den @ X910 ) ) @ ( n_ts @ ( num @ X910 ) @ ( den @ X911 ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).
thf(c_0_51,negated_conjecture,
! [X1: $i] :
( ( ( n_ts @ ( num @ X1 ) @ ( den @ esk4_0 ) )
= ( n_ts @ ( num @ esk4_0 ) @ ( den @ X1 ) ) )
| ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ esk4_0 ) ) ) )
| ( n_some @ ( diffprop @ ( n_ts @ ( num @ X1 ) @ ( den @ esk4_0 ) ) @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ X1 ) ) ) )
| ~ ( in @ X1 @ frac ) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
thf(c_0_52,negated_conjecture,
in @ esk3_0 @ frac,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_53,negated_conjecture,
( ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) )
!= ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_54,negated_conjecture,
~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) ) @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) ) ),
inference(cn,[status(thm)],[c_0_47]) ).
thf(c_0_55,plain,
! [X4: $i,X1: $i] :
( ( ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) )
!= ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) ) )
| ~ $true
| ~ ( in @ X4 @ frac )
| ~ ( in @ X1 @ frac ) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
thf(c_0_56,plain,
! [X886: $i,X887: $i,X888: $i] :
( ~ ( in @ X886 @ frac )
| ~ ( in @ X887 @ frac )
| ~ ( in @ X888 @ frac )
| ( ( n_ts @ ( num @ X886 ) @ ( den @ X887 ) )
!= ( n_ts @ ( num @ X887 ) @ ( den @ X886 ) ) )
| ( ( n_ts @ ( num @ X887 ) @ ( den @ X888 ) )
!= ( n_ts @ ( num @ X888 ) @ ( den @ X887 ) ) )
| ( ( n_ts @ ( num @ X886 ) @ ( den @ X888 ) )
= ( n_ts @ ( num @ X888 ) @ ( den @ X886 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])]) ).
thf(c_0_57,plain,
! [X4: $i,X1: $i] :
( ~ ( in @ X4 @ frac )
| ~ ( in @ X1 @ frac )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) ) )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) ) ) ),
inference(cn,[status(thm)],[c_0_49]) ).
thf(c_0_58,negated_conjecture,
( ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) )
| ( ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) )
= ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_59,negated_conjecture,
in @ esk1_0 @ frac,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_60,negated_conjecture,
in @ esk2_0 @ frac,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_61,plain,
! [X1: $i,X6: $i,X5: $i,X4: $i] :
( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X6 ) @ ( den @ X5 ) ) @ ( n_ts @ ( num @ X5 ) @ ( den @ X6 ) ) ) )
| ~ ( in @ X1 @ frac )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X5 @ frac )
| ~ ( in @ X6 @ frac )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) ) )
| ( ( n_ts @ ( num @ X1 ) @ ( den @ X5 ) )
!= ( n_ts @ ( num @ X5 ) @ ( den @ X1 ) ) )
| ( ( n_ts @ ( num @ X4 ) @ ( den @ X6 ) )
!= ( n_ts @ ( num @ X6 ) @ ( den @ X4 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
thf(c_0_62,negated_conjecture,
n_some @ ( diffprop @ ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk3_0 ) ) @ ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk4_0 ) ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54]) ).
thf(c_0_63,plain,
! [X1: $i,X4: $i] :
( ( ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) )
!= ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X1 @ frac )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) ) ) ),
inference(cn,[status(thm)],[c_0_55]) ).
thf(c_0_64,negated_conjecture,
( ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk4_0 ) )
= ( n_ts @ ( num @ esk4_0 ) @ ( den @ esk2_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_65,plain,
! [X1: $i,X5: $i,X4: $i] :
( ( ( n_ts @ ( num @ X1 ) @ ( den @ X5 ) )
= ( n_ts @ ( num @ X5 ) @ ( den @ X1 ) ) )
| ~ ( in @ X1 @ frac )
| ~ ( in @ X4 @ frac )
| ~ ( in @ X5 @ frac )
| ( ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) )
!= ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) )
| ( ( n_ts @ ( num @ X4 ) @ ( den @ X5 ) )
!= ( n_ts @ ( num @ X5 ) @ ( den @ X4 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
thf(c_0_66,negated_conjecture,
( ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk3_0 ) )
= ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk1_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_67,negated_conjecture,
( ( ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) )
= ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) )
| ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_60])]) ).
thf(c_0_68,negated_conjecture,
! [X1: $i,X4: $i] :
( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) ) )
| ( ( n_ts @ ( num @ esk4_0 ) @ ( den @ X1 ) )
!= ( n_ts @ ( num @ X1 ) @ ( den @ esk4_0 ) ) )
| ( ( n_ts @ ( num @ esk3_0 ) @ ( den @ X4 ) )
!= ( n_ts @ ( num @ X4 ) @ ( den @ esk3_0 ) ) )
| ~ ( in @ X1 @ frac )
| ~ ( in @ X4 @ frac ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_46]),c_0_52])]) ).
thf(c_0_69,negated_conjecture,
~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk4_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk4_0 ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_60]),c_0_46])]) ).
thf(c_0_70,negated_conjecture,
! [X1: $i] :
( ( ( n_ts @ ( num @ X1 ) @ ( den @ esk3_0 ) )
= ( n_ts @ ( num @ esk3_0 ) @ ( den @ X1 ) ) )
| ( ( n_ts @ ( num @ X1 ) @ ( den @ esk1_0 ) )
!= ( n_ts @ ( num @ esk1_0 ) @ ( den @ X1 ) ) )
| ~ ( in @ X1 @ frac ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_52]),c_0_59])]) ).
thf(c_0_71,negated_conjecture,
( ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) )
= ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_64]),c_0_66]),c_0_60]),c_0_59])]) ).
thf(c_0_72,negated_conjecture,
( ( n_ts @ ( num @ esk3_0 ) @ ( den @ esk2_0 ) )
!= ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk3_0 ) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_64]),c_0_46]),c_0_60])]),c_0_69]) ).
thf(c_0_73,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_60])]),c_0_72]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM739^4 : TPTP v8.2.0. Released v7.1.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon May 20 04:28:37 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running higher-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.23/0.64 # Version: 3.1.0-ho
% 1.23/0.64 # Preprocessing class: HSLMSMSMLLLCHSA.
% 1.23/0.64 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 1.23/0.64 # Starting pre_casc_4 with 1200s (4) cores
% 1.23/0.64 # Starting full_lambda_6 with 300s (1) cores
% 1.23/0.64 # Starting sh10 with 300s (1) cores
% 1.23/0.64 # Starting post_as_ho9 with 300s (1) cores
% 1.23/0.64 # Starting post_as_ho8 with 300s (1) cores
% 1.23/0.64 # pre_casc_4 with pid 19097 completed with status 0
% 1.23/0.64 # Result found by pre_casc_4
% 1.23/0.64 # Preprocessing class: HSLMSMSMLLLCHSA.
% 1.23/0.64 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 1.23/0.64 # Starting pre_casc_4 with 1200s (4) cores
% 1.23/0.64 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 1.23/0.64 # Search class: HGHSM-FSLM31-DHSMMFBN
% 1.23/0.64 # partial match(2): HGHSM-FSLM31-DHSFFFBN
% 1.23/0.64 # Scheduled 6 strats onto 4 cores with 1200 seconds (1200 total)
% 1.23/0.64 # Starting sh1l with 357s (1) cores
% 1.23/0.64 # Starting pre_casc_4 with 121s (1) cores
% 1.23/0.64 # Starting new_bool_8 with 210s (1) cores
% 1.23/0.64 # Starting new_bool_9 with 208s (1) cores
% 1.23/0.64 # sh1l with pid 19102 completed with status 0
% 1.23/0.64 # Result found by sh1l
% 1.23/0.64 # Preprocessing class: HSLMSMSMLLLCHSA.
% 1.23/0.64 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 1.23/0.64 # Starting pre_casc_4 with 1200s (4) cores
% 1.23/0.64 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 1.23/0.64 # Search class: HGHSM-FSLM31-DHSMMFBN
% 1.23/0.64 # partial match(2): HGHSM-FSLM31-DHSFFFBN
% 1.23/0.64 # Scheduled 6 strats onto 4 cores with 1200 seconds (1200 total)
% 1.23/0.64 # Starting sh1l with 357s (1) cores
% 1.23/0.64 # Preprocessing time : 0.016 s
% 1.23/0.64
% 1.23/0.64 # Proof found!
% 1.23/0.64 # SZS status Theorem
% 1.23/0.64 # SZS output start CNFRefutation
% See solution above
% 1.23/0.64 # Parsed axioms : 560
% 1.23/0.64 # Removed by relevancy pruning/SinE : 385
% 1.23/0.64 # Initial clauses : 283
% 1.23/0.64 # Removed in clause preprocessing : 101
% 1.23/0.64 # Initial clauses in saturation : 182
% 1.23/0.64 # Processed clauses : 297
% 1.23/0.64 # ...of these trivial : 0
% 1.23/0.64 # ...subsumed : 104
% 1.23/0.64 # ...remaining for further processing : 192
% 1.23/0.64 # Other redundant clauses eliminated : 36
% 1.23/0.64 # Clauses deleted for lack of memory : 0
% 1.23/0.64 # Backward-subsumed : 2
% 1.23/0.64 # Backward-rewritten : 6
% 1.23/0.64 # Generated clauses : 1148
% 1.23/0.64 # ...of the previous two non-redundant : 1095
% 1.23/0.64 # ...aggressively subsumed : 0
% 1.23/0.64 # Contextual simplify-reflections : 0
% 1.23/0.64 # Paramodulations : 1050
% 1.23/0.64 # Factorizations : 0
% 1.23/0.64 # NegExts : 1
% 1.23/0.64 # Equation resolutions : 47
% 1.23/0.64 # Disequality decompositions : 0
% 1.23/0.64 # Total rewrite steps : 324
% 1.23/0.64 # ...of those cached : 302
% 1.23/0.64 # Propositional unsat checks : 0
% 1.23/0.64 # Propositional check models : 0
% 1.23/0.64 # Propositional check unsatisfiable : 0
% 1.23/0.64 # Propositional clauses : 0
% 1.23/0.64 # Propositional clauses after purity: 0
% 1.23/0.64 # Propositional unsat core size : 0
% 1.23/0.64 # Propositional preprocessing time : 0.000
% 1.23/0.64 # Propositional encoding time : 0.000
% 1.23/0.64 # Propositional solver time : 0.000
% 1.23/0.64 # Success case prop preproc time : 0.000
% 1.23/0.64 # Success case prop encoding time : 0.000
% 1.23/0.64 # Success case prop solver time : 0.000
% 1.23/0.64 # Current number of processed clauses : 153
% 1.23/0.64 # Positive orientable unit clauses : 33
% 1.23/0.64 # Positive unorientable unit clauses: 5
% 1.23/0.64 # Negative unit clauses : 21
% 1.23/0.64 # Non-unit-clauses : 94
% 1.23/0.64 # Current number of unprocessed clauses: 975
% 1.23/0.64 # ...number of literals in the above : 4153
% 1.23/0.64 # Current number of archived formulas : 0
% 1.23/0.64 # Current number of archived clauses : 11
% 1.23/0.64 # Clause-clause subsumption calls (NU) : 8556
% 1.23/0.64 # Rec. Clause-clause subsumption calls : 1551
% 1.23/0.64 # Non-unit clause-clause subsumptions : 83
% 1.23/0.64 # Unit Clause-clause subsumption calls : 436
% 1.23/0.64 # Rewrite failures with RHS unbound : 0
% 1.23/0.64 # BW rewrite match attempts : 300
% 1.23/0.64 # BW rewrite match successes : 144
% 1.23/0.64 # Condensation attempts : 0
% 1.23/0.64 # Condensation successes : 0
% 1.23/0.64 # Termbank termtop insertions : 150133
% 1.23/0.64 # Search garbage collected termcells : 26034
% 1.23/0.64
% 1.23/0.64 # -------------------------------------------------
% 1.23/0.64 # User time : 0.108 s
% 1.23/0.64 # System time : 0.024 s
% 1.23/0.64 # Total time : 0.132 s
% 1.23/0.64 # Maximum resident set size: 6432 pages
% 1.23/0.64
% 1.23/0.64 # -------------------------------------------------
% 1.23/0.64 # User time : 0.409 s
% 1.23/0.64 # System time : 0.045 s
% 1.23/0.64 # Total time : 0.454 s
% 1.23/0.64 # Maximum resident set size: 2720 pages
% 1.23/0.64 % E---3.1 exiting
% 1.23/0.64 % E exiting
%------------------------------------------------------------------------------