%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM677^4 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:16:48 AM UTC 2026
% Result : Theorem 1.38s 0.55s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 55 ( 36 unt; 0 typ; 0 def)
% Number of atoms : 203 ( 57 equ; 0 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 438 ( 53 ~; 23 |; 9 &; 305 @)
% ( 0 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 8 con; 0-3 aty)
% Number of variables : 122 ( 86 ^; 36 !; 0 ?; 122 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
is_of: $i > ( $i > $o ) > $o ).
thf(decl_24,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf(decl_26,type,
in: $i > $i > $o ).
thf(decl_62,type,
imp: $o > $o > $o ).
thf(decl_63,type,
d_not: $o > $o ).
thf(decl_72,type,
non: $i > ( $i > $o ) > $i > $o ).
thf(decl_73,type,
l_some: $i > ( $i > $o ) > $o ).
thf(decl_78,type,
e_is: $i > $i > $i > $o ).
thf(decl_124,type,
nat: $i ).
thf(decl_125,type,
n_is: $i > $i > $o ).
thf(decl_128,type,
n_some: ( $i > $o ) > $o ).
thf(decl_143,type,
n_pl: $i > $i > $i ).
thf(decl_148,type,
diffprop: $i > $i > $i > $o ).
thf(decl_149,type,
d_29_ii: $i > $i > $o ).
thf(decl_226,type,
esk69_0: $i ).
thf(decl_227,type,
esk70_0: $i ).
thf(decl_228,type,
esk71_0: $i ).
thf(decl_229,type,
esk72_0: $i ).
thf(decl_230,type,
esk73_0: $i ).
thf(def_d_not,axiom,
( d_not
= ( ^ [X76: $o] : ( imp @ X76 @ ~ $true ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gDEMW7WXll/E---3.1_693692.p',def_d_not) ).
thf(def_imp,axiom,
( imp
= ( ^ [X74: $o,X75: $o] :
( X74
=> X75 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gDEMW7WXll/E---3.1_693692.p',def_imp) ).
thf(def_all_of,axiom,
( all_of
= ( ^ [X3: $i > $o,X2: $i > $o] :
! [X4: $i] :
( ( is_of @ X4 @ X3 )
=> ( X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gDEMW7WXll/E---3.1_693692.p',def_all_of) ).
thf(def_is_of,axiom,
( is_of
= ( ^ [X1: $i,X2: $i > $o] : ( X2 @ X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gDEMW7WXll/E---3.1_693692.p',def_is_of) ).
thf(def_non,axiom,
( non
= ( ^ [X1: $i,X2: $i > $o,X4: $i] : ( d_not @ ( X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gDEMW7WXll/E---3.1_693692.p',def_non) ).
thf(def_l_some,axiom,
( l_some
= ( ^ [X1: $i,X2: $i > $o] :
( d_not
@ ( all_of
@ ^ [X4: $i] : ( in @ X4 @ X1 )
@ ( non @ X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gDEMW7WXll/E---3.1_693692.p',def_l_some) ).
thf(def_e_is,axiom,
( e_is
= ( ^ [X1: $i,X101: $i,X102: $i] : ( X101 = X102 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gDEMW7WXll/E---3.1_693692.p',def_e_is) ).
thf(def_diffprop,axiom,
( diffprop
= ( ^ [X1: $i,X207: $i,X4: $i] : ( n_is @ X1 @ ( n_pl @ X207 @ X4 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gDEMW7WXll/E---3.1_693692.p',def_diffprop) ).
thf(def_n_is,axiom,
( n_is
= ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gDEMW7WXll/E---3.1_693692.p',def_n_is) ).
thf(def_d_29_ii,axiom,
( d_29_ii
= ( ^ [X1: $i,X210: $i] : ( n_some @ ( diffprop @ X1 @ X210 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gDEMW7WXll/E---3.1_693692.p',def_d_29_ii) ).
thf(def_n_some,axiom,
( n_some
= ( ^ [Z0: $i > $o] :
( ! [X455: $i] :
( ( in @ X455 @ nat )
=> ( ( Z0 @ X455 )
=> ~ $true ) )
=> ~ $true ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gDEMW7WXll/E---3.1_693692.p',def_n_some) ).
thf(satz19h,conjecture,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X281: $i] : ( in @ X281 @ nat )
@ ^ [X282: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ nat )
@ ^ [X4: $i] :
( all_of
@ ^ [X13: $i] : ( in @ X13 @ nat )
@ ^ [X13: $i] :
( ( n_is @ X1 @ X282 )
=> ( ( d_29_ii @ X4 @ X13 )
=> ( d_29_ii @ ( n_pl @ X4 @ X1 ) @ ( n_pl @ X13 @ X282 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gDEMW7WXll/E---3.1_693692.p',satz19h) ).
thf(satz6,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X197: $i] : ( in @ X197 @ nat )
@ ^ [X198: $i] : ( n_is @ ( n_pl @ X1 @ X198 ) @ ( n_pl @ X198 @ X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gDEMW7WXll/E---3.1_693692.p',satz6) ).
thf(satz5,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X194: $i] : ( in @ X194 @ nat )
@ ^ [X195: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ nat )
@ ^ [X4: $i] : ( n_is @ ( n_pl @ ( n_pl @ X1 @ X195 ) @ X4 ) @ ( n_pl @ X1 @ ( n_pl @ X195 @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gDEMW7WXll/E---3.1_693692.p',satz5) ).
thf(c_0_14,plain,
( d_not
= ( ^ [Z0: $o] :
( Z0
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_d_not]) ).
thf(c_0_15,plain,
( imp
= ( ^ [Z0: $o,Z1: $o] :
( Z0
=> Z1 ) ) ),
inference(fof_simplification,[status(thm)],[def_imp]) ).
thf(c_0_16,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_17,plain,
( is_of
= ( ^ [Z0: $i,Z1: $i > $o] : ( Z1 @ Z0 ) ) ),
inference(fof_simplification,[status(thm)],[def_is_of]) ).
thf(c_0_18,plain,
( non
= ( ^ [Z0: $i,Z1: $i > $o,Z2: $i] :
( ( Z1 @ Z2 )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_non]) ).
thf(c_0_19,plain,
( d_not
= ( ^ [Z0: $o] :
( Z0
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_20,plain,
( l_some
= ( ^ [Z0: $i,Z1: $i > $o] :
( ! [X428: $i] :
( ( in @ X428 @ Z0 )
=> ( ( Z1 @ X428 )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_l_some]) ).
thf(c_0_21,plain,
( all_of
= ( ^ [Z0: $i > $o,Z1: $i > $o] :
! [X4: $i] :
( ( Z0 @ X4 )
=> ( Z1 @ X4 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_22,plain,
( non
= ( ^ [Z0: $i,Z1: $i > $o,Z2: $i] :
( ( Z1 @ Z2 )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_23,plain,
( e_is
= ( ^ [Z0: $i,Z1: $i,Z2: $i] : ( Z1 = Z2 ) ) ),
inference(fof_simplification,[status(thm)],[def_e_is]) ).
thf(c_0_24,plain,
( l_some
= ( ^ [Z0: $i,Z1: $i > $o] :
( ! [X428: $i] :
( ( in @ X428 @ Z0 )
=> ( ( Z1 @ X428 )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20,c_0_21]),c_0_19]),c_0_22]) ).
thf(c_0_25,plain,
( diffprop
= ( ^ [Z0: $i,Z1: $i,Z2: $i] :
( Z0
= ( n_pl @ Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_diffprop]) ).
thf(c_0_26,axiom,
( n_is
= ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
inference(apply_def,[status(thm)],[def_n_is,c_0_23]) ).
thf(c_0_27,plain,
( d_29_ii
= ( ^ [Z0: $i,Z1: $i] :
( ! [X466: $i] :
( ( in @ X466 @ nat )
=> ( ( Z0
= ( n_pl @ Z1 @ X466 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_d_29_ii]) ).
thf(c_0_28,axiom,
( n_some
= ( ^ [Z0: $i > $o] :
( ! [X455: $i] :
( ( in @ X455 @ nat )
=> ( ( Z0 @ X455 )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[def_n_some,c_0_24]) ).
thf(c_0_29,plain,
( diffprop
= ( ^ [Z0: $i,Z1: $i,Z2: $i] :
( Z0
= ( n_pl @ Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_30,negated_conjecture,
~ ( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X281: $i] : ( in @ X281 @ nat )
@ ^ [X282: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ nat )
@ ^ [X4: $i] :
( all_of
@ ^ [X13: $i] : ( in @ X13 @ nat )
@ ^ [X13: $i] :
( ( n_is @ X1 @ X282 )
=> ( ( d_29_ii @ X4 @ X13 )
=> ( d_29_ii @ ( n_pl @ X4 @ X1 ) @ ( n_pl @ X13 @ X282 ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[satz19h]) ).
thf(c_0_31,plain,
( d_29_ii
= ( ^ [Z0: $i,Z1: $i] :
( ! [X466: $i] :
( ( in @ X466 @ nat )
=> ( ( Z0
= ( n_pl @ Z1 @ X466 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
thf(c_0_32,negated_conjecture,
~ ! [X751: $i] :
( ( in @ X751 @ nat )
=> ! [X750: $i] :
( ( in @ X750 @ nat )
=> ! [X749: $i] :
( ( in @ X749 @ nat )
=> ! [X748: $i] :
( ( in @ X748 @ nat )
=> ( ( X751 = X750 )
=> ( ( ! [X746: $i] :
( ( in @ X746 @ nat )
=> ( ( X749
= ( n_pl @ X748 @ X746 ) )
=> ~ $true ) )
=> ~ $true )
=> ( ! [X747: $i] :
( ( in @ X747 @ nat )
=> ( ( ( n_pl @ X749 @ X751 )
= ( n_pl @ ( n_pl @ X748 @ X750 ) @ X747 ) )
=> ~ $true ) )
=> ~ $true ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_30]),c_0_21]),c_0_26]),c_0_31]) ).
thf(c_0_33,negated_conjecture,
! [X1413: $i] :
( ( in @ esk69_0 @ nat )
& ( in @ esk70_0 @ nat )
& ( in @ esk71_0 @ nat )
& ( in @ esk72_0 @ nat )
& ( esk69_0 = esk70_0 )
& ( ( in @ esk73_0 @ nat )
| ~ $true )
& ( ( esk71_0
= ( n_pl @ esk72_0 @ esk73_0 ) )
| ~ $true )
& ( $true
| ~ $true )
& ( ~ ( in @ X1413 @ nat )
| ( ( n_pl @ esk71_0 @ esk69_0 )
!= ( n_pl @ ( n_pl @ esk72_0 @ esk70_0 ) @ X1413 ) )
| ~ $true )
& $true ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])])]) ).
thf(c_0_34,negated_conjecture,
! [X1: $i] :
( ~ ( in @ X1 @ nat )
| ( ( n_pl @ esk71_0 @ esk69_0 )
!= ( n_pl @ ( n_pl @ esk72_0 @ esk70_0 ) @ X1 ) )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_35,plain,
! [X583: $i] :
( ( in @ X583 @ nat )
=> ! [X582: $i] :
( ( in @ X582 @ nat )
=> ( ( n_pl @ X583 @ X582 )
= ( n_pl @ X582 @ X583 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz6]),c_0_21]),c_0_26]) ).
thf(c_0_36,negated_conjecture,
! [X1: $i] :
( ( ( n_pl @ esk71_0 @ esk69_0 )
!= ( n_pl @ ( n_pl @ esk72_0 @ esk70_0 ) @ X1 ) )
| ~ ( in @ X1 @ nat ) ),
inference(cn,[status(thm)],[c_0_34]) ).
thf(c_0_37,negated_conjecture,
esk69_0 = esk70_0,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_38,plain,
! [X1232: $i,X1233: $i] :
( ~ ( in @ X1232 @ nat )
| ~ ( in @ X1233 @ nat )
| ( ( n_pl @ X1232 @ X1233 )
= ( n_pl @ X1233 @ X1232 ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).
thf(c_0_39,plain,
! [X581: $i] :
( ( in @ X581 @ nat )
=> ! [X580: $i] :
( ( in @ X580 @ nat )
=> ! [X579: $i] :
( ( in @ X579 @ nat )
=> ( ( n_pl @ ( n_pl @ X581 @ X580 ) @ X579 )
= ( n_pl @ X581 @ ( n_pl @ X580 @ X579 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz5]),c_0_21]),c_0_26]) ).
thf(c_0_40,negated_conjecture,
! [X1: $i] :
( ( ( n_pl @ ( n_pl @ esk72_0 @ esk69_0 ) @ X1 )
!= ( n_pl @ esk71_0 @ esk69_0 ) )
| ~ ( in @ X1 @ nat ) ),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
thf(c_0_41,plain,
! [X1: $i,X4: $i] :
( ( ( n_pl @ X1 @ X4 )
= ( n_pl @ X4 @ X1 ) )
| ~ ( in @ X1 @ nat )
| ~ ( in @ X4 @ nat ) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
thf(c_0_42,negated_conjecture,
in @ esk72_0 @ nat,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_43,negated_conjecture,
in @ esk69_0 @ nat,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_44,plain,
! [X1229: $i,X1230: $i,X1231: $i] :
( ~ ( in @ X1229 @ nat )
| ~ ( in @ X1230 @ nat )
| ~ ( in @ X1231 @ nat )
| ( ( n_pl @ ( n_pl @ X1229 @ X1230 ) @ X1231 )
= ( n_pl @ X1229 @ ( n_pl @ X1230 @ X1231 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
thf(c_0_45,negated_conjecture,
! [X1: $i] :
( ( ( n_pl @ ( n_pl @ esk69_0 @ esk72_0 ) @ X1 )
!= ( n_pl @ esk71_0 @ esk69_0 ) )
| ~ ( in @ X1 @ nat ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43])]) ).
thf(c_0_46,plain,
! [X1: $i,X4: $i,X5: $i] :
( ( ( n_pl @ ( n_pl @ X1 @ X4 ) @ X5 )
= ( n_pl @ X1 @ ( n_pl @ X4 @ X5 ) ) )
| ~ ( in @ X1 @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X5 @ nat ) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
thf(c_0_47,negated_conjecture,
( ( esk71_0
= ( n_pl @ esk72_0 @ esk73_0 ) )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_48,negated_conjecture,
( ( in @ esk73_0 @ nat )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_49,negated_conjecture,
! [X1: $i] :
( ( ( n_pl @ esk69_0 @ ( n_pl @ esk72_0 @ X1 ) )
!= ( n_pl @ esk71_0 @ esk69_0 ) )
| ~ ( in @ X1 @ nat ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_42]),c_0_43])]) ).
thf(c_0_50,negated_conjecture,
( esk71_0
= ( n_pl @ esk72_0 @ esk73_0 ) ),
inference(cn,[status(thm)],[c_0_47]) ).
thf(c_0_51,negated_conjecture,
in @ esk73_0 @ nat,
inference(cn,[status(thm)],[c_0_48]) ).
thf(c_0_52,negated_conjecture,
( ( n_pl @ esk71_0 @ esk69_0 )
!= ( n_pl @ esk69_0 @ esk71_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
thf(c_0_53,negated_conjecture,
in @ esk71_0 @ nat,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_41]),c_0_43]),c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM677^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n019.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 12:36:03 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.23 Running higher-order theorem proving
% 0.22/0.27 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/tmp/tmp.gDEMW7WXll/E---3.1_693692.p
% 1.38/0.55 % Version: 3.5.1-ho
% 1.38/0.55 % Preprocessing class: HSLMSMSSLLLCHSA.
% 1.38/0.55 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.38/0.55 % Starting lpo1_fix with 900s (3) cores
% 1.38/0.55 % Starting full_lambda_9 with 300s (1) cores
% 1.38/0.55 % Starting almost_fo_4 with 300s (1) cores
% 1.38/0.55 % Starting new_ho_9 with 300s (1) cores
% 1.38/0.55 % Starting pre_casc_4 with 300s (1) cores
% 1.38/0.55 % Starting ho_unfolding_6 with 300s (1) cores
% 1.38/0.55 % lpo1_fix with pid 693705 completed with status 0
% 1.38/0.55 % Result found by lpo1_fix
% 1.38/0.55 % Preprocessing class: HSLMSMSSLLLCHSA.
% 1.38/0.55 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.38/0.55 % Starting lpo1_fix with 900s (3) cores
% 1.38/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.38/0.55 % No SInE strategy applied
% 1.38/0.55 % Search class: HGHSM-FSLM32-MHSMMSBN
% 1.38/0.55 % Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 1.38/0.55 % Starting SubtermCWHack with 91s (1) cores
% 1.38/0.55 % Starting full_lambda_5 with 82s (1) cores
% 1.38/0.55 % Starting new_ho_6 with 82s (1) cores
% 1.38/0.55 % full_lambda_5 with pid 693715 completed with status 0
% 1.38/0.55 % Result found by full_lambda_5
% 1.38/0.55 % Preprocessing class: HSLMSMSSLLLCHSA.
% 1.38/0.55 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.38/0.55 % Starting lpo1_fix with 900s (3) cores
% 1.38/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.38/0.55 % No SInE strategy applied
% 1.38/0.55 % Search class: HGHSM-FSLM32-MHSMMSBN
% 1.38/0.55 % Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 1.38/0.55 % Starting SubtermCWHack with 91s (1) cores
% 1.38/0.55 % Starting full_lambda_5 with 82s (1) cores
% 1.38/0.55 % Preprocessing time : 0.012 s
% 1.38/0.55 % Presaturation interreduction done
% 1.38/0.55
% 1.38/0.55 % Proof found!
% 1.38/0.55 % SZS status Theorem
% 1.38/0.55 % SZS output start CNFRefutation
% See solution above
% 1.38/0.55 % Parsed axioms : 376
% 1.38/0.55 % Removed by relevancy pruning/SinE : 0
% 1.38/0.55 % Initial clauses : 904
% 1.38/0.55 % Removed in clause preprocessing : 511
% 1.38/0.55 % Initial clauses in saturation : 393
% 1.38/0.55 % Processed clauses : 816
% 1.38/0.55 % ...of these trivial : 6
% 1.38/0.55 % ...subsumed : 66
% 1.38/0.55 % ...remaining for further processing : 744
% 1.38/0.55 % Other redundant clauses eliminated : 205
% 1.38/0.55 % Clauses deleted for lack of memory : 0
% 1.38/0.55 % Backward-subsumed : 7
% 1.38/0.55 % Backward-rewritten : 7
% 1.38/0.55 % Generated clauses : 2315
% 1.38/0.55 % ...of the previous two non-redundant : 2160
% 1.38/0.55 % ...aggressively subsumed : 0
% 1.38/0.55 % Contextual simplify-reflections : 14
% 1.38/0.55 % Paramodulations : 1982
% 1.38/0.55 % Factorizations : 2
% 1.38/0.55 % NegExts : 8
% 1.38/0.55 % Equation resolutions : 208
% 1.38/0.55 % Disequality decompositions : 0
% 1.38/0.55 % Total rewrite steps : 431
% 1.38/0.55 % ...of those cached : 313
% 1.38/0.55 % Propositional unsat checks : 0
% 1.38/0.55 % Propositional check models : 0
% 1.38/0.55 % Propositional check unsatisfiable : 0
% 1.38/0.55 % Propositional clauses : 0
% 1.38/0.55 % Propositional clauses after purity: 0
% 1.38/0.55 % Propositional unsat core size : 0
% 1.38/0.55 % Propositional preprocessing time : 0.000
% 1.38/0.55 % Propositional encoding time : 0.000
% 1.38/0.55 % Propositional solver time : 0.000
% 1.38/0.55 % Success case prop preproc time : 0.000
% 1.38/0.55 % Success case prop encoding time : 0.000
% 1.38/0.55 % Success case prop solver time : 0.000
% 1.38/0.55 % Current number of processed clauses : 296
% 1.38/0.55 % Positive orientable unit clauses : 100
% 1.38/0.55 % Positive unorientable unit clauses: 4
% 1.38/0.55 % Negative unit clauses : 22
% 1.38/0.55 % Non-unit-clauses : 170
% 1.38/0.55 % Current number of unprocessed clauses: 2089
% 1.38/0.55 % ...number of literals in the above : 6230
% 1.38/0.55 % Current number of archived formulas : 0
% 1.38/0.55 % Current number of archived clauses : 368
% 1.38/0.55 % Clause-clause subsumption calls (NU) : 51369
% 1.38/0.55 % Rec. Clause-clause subsumption calls : 11614
% 1.38/0.55 % Non-unit clause-clause subsumptions : 72
% 1.38/0.55 % Unit Clause-clause subsumption calls : 1937
% 1.38/0.55 % Rewrite failures with RHS unbound : 0
% 1.38/0.55 % BW rewrite match attempts : 101
% 1.38/0.55 % BW rewrite match successes : 23
% 1.38/0.55 % Condensation attempts : 0
% 1.38/0.55 % Condensation successes : 0
% 1.38/0.55 % Termbank termtop insertions : 147660
% 1.38/0.55 % Search garbage collected termcells : 32897
% 1.38/0.55
% 1.38/0.55 % -------------------------------------------------
% 1.38/0.55 % User time : 0.202 s
% 1.38/0.55 % System time : 0.022 s
% 1.38/0.55 % Total time : 0.225 s
% 1.38/0.55 % Maximum resident set size: 8580 pages
% 1.38/0.55
% 1.38/0.55 % -------------------------------------------------
% 1.38/0.55 % User time : 0.496 s
% 1.38/0.55 % System time : 0.054 s
% 1.38/0.55 % Total time : 0.550 s
% 1.38/0.55 % Maximum resident set size: 5376 pages
% 1.38/0.55 % E exiting
%------------------------------------------------------------------------------