%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM670^4 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 08:16:46 AM UTC 2026
% Result : Theorem 1.52s 0.40s
% Output : CNFRefutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 52 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 190 ( 53 equ; 0 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 407 ( 50 ~; 23 |; 7 &; 283 @)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 7 con; 0-3 aty)
% Number of variables : 117 ( 82 ^; 35 !; 0 ?; 117 :)
% 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_221,type,
esk64_0: $i ).
thf(decl_222,type,
esk65_0: $i ).
thf(decl_223,type,
esk66_0: $i ).
thf(decl_224,type,
esk67_0: $i ).
thf(def_d_not,axiom,
( d_not
= ( ^ [X76: $o] : ( imp @ X76 @ ~ $true ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6NFSyQJwKg/E---3.1_40624.p',def_d_not) ).
thf(def_imp,axiom,
( imp
= ( ^ [X74: $o,X75: $o] :
( X74
=> X75 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6NFSyQJwKg/E---3.1_40624.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/sandbox2/tmp/tmp.6NFSyQJwKg/E---3.1_40624.p',def_all_of) ).
thf(def_is_of,axiom,
( is_of
= ( ^ [X1: $i,X2: $i > $o] : ( X2 @ X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6NFSyQJwKg/E---3.1_40624.p',def_is_of) ).
thf(def_non,axiom,
( non
= ( ^ [X1: $i,X2: $i > $o,X4: $i] : ( d_not @ ( X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6NFSyQJwKg/E---3.1_40624.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/sandbox2/tmp/tmp.6NFSyQJwKg/E---3.1_40624.p',def_l_some) ).
thf(def_e_is,axiom,
( e_is
= ( ^ [X1: $i,X101: $i,X102: $i] : ( X101 = X102 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6NFSyQJwKg/E---3.1_40624.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/sandbox2/tmp/tmp.6NFSyQJwKg/E---3.1_40624.p',def_diffprop) ).
thf(def_n_is,axiom,
( n_is
= ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6NFSyQJwKg/E---3.1_40624.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/sandbox2/tmp/tmp.6NFSyQJwKg/E---3.1_40624.p',def_d_29_ii) ).
thf(def_n_some,axiom,
( n_some
= ( ^ [Z0: $i > $o] :
( ! [X441: $i] :
( ( in @ X441 @ nat )
=> ( ( Z0 @ X441 )
=> ~ $true ) )
=> ~ $true ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6NFSyQJwKg/E---3.1_40624.p',def_n_some) ).
thf(satz19a,conjecture,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X267: $i] : ( in @ X267 @ nat )
@ ^ [X268: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ nat )
@ ^ [X4: $i] :
( ( d_29_ii @ X1 @ X268 )
=> ( d_29_ii @ ( n_pl @ X1 @ X4 ) @ ( n_pl @ X268 @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6NFSyQJwKg/E---3.1_40624.p',satz19a) ).
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/sandbox2/tmp/tmp.6NFSyQJwKg/E---3.1_40624.p',satz5) ).
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/sandbox2/tmp/tmp.6NFSyQJwKg/E---3.1_40624.p',satz6) ).
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] :
( ! [X414: $i] :
( ( in @ X414 @ Z0 )
=> ( ( Z1 @ X414 )
=> ~ $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] :
( ! [X414: $i] :
( ( in @ X414 @ Z0 )
=> ( ( Z1 @ X414 )
=> ~ $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] :
( ! [X452: $i] :
( ( in @ X452 @ nat )
=> ( ( Z0
= ( n_pl @ Z1 @ X452 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_d_29_ii]) ).
thf(c_0_28,axiom,
( n_some
= ( ^ [Z0: $i > $o] :
( ! [X441: $i] :
( ( in @ X441 @ nat )
=> ( ( Z0 @ X441 )
=> ~ $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
@ ^ [X267: $i] : ( in @ X267 @ nat )
@ ^ [X268: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ nat )
@ ^ [X4: $i] :
( ( d_29_ii @ X1 @ X268 )
=> ( d_29_ii @ ( n_pl @ X1 @ X4 ) @ ( n_pl @ X268 @ X4 ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[satz19a]) ).
thf(c_0_31,plain,
( d_29_ii
= ( ^ [Z0: $i,Z1: $i] :
( ! [X452: $i] :
( ( in @ X452 @ nat )
=> ( ( Z0
= ( n_pl @ Z1 @ X452 ) )
=> ~ $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,
~ ! [X704: $i] :
( ( in @ X704 @ nat )
=> ! [X703: $i] :
( ( in @ X703 @ nat )
=> ! [X702: $i] :
( ( in @ X702 @ nat )
=> ( ( ! [X700: $i] :
( ( in @ X700 @ nat )
=> ( ( X704
= ( n_pl @ X703 @ X700 ) )
=> ~ $true ) )
=> ~ $true )
=> ( ! [X701: $i] :
( ( in @ X701 @ nat )
=> ( ( ( n_pl @ X704 @ X702 )
= ( n_pl @ ( n_pl @ X703 @ X702 ) @ X701 ) )
=> ~ $true ) )
=> ~ $true ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_30]),c_0_21]),c_0_31]) ).
thf(c_0_33,plain,
! [X567: $i] :
( ( in @ X567 @ nat )
=> ! [X566: $i] :
( ( in @ X566 @ nat )
=> ! [X565: $i] :
( ( in @ X565 @ nat )
=> ( ( n_pl @ ( n_pl @ X567 @ X566 ) @ X565 )
= ( n_pl @ X567 @ ( n_pl @ X566 @ X565 ) ) ) ) ) ),
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_34,negated_conjecture,
! [X1333: $i] :
( ( in @ esk64_0 @ nat )
& ( in @ esk65_0 @ nat )
& ( in @ esk66_0 @ nat )
& ( ( in @ esk67_0 @ nat )
| ~ $true )
& ( ( esk64_0
= ( n_pl @ esk65_0 @ esk67_0 ) )
| ~ $true )
& ( $true
| ~ $true )
& ( ~ ( in @ X1333 @ nat )
| ( ( n_pl @ esk64_0 @ esk66_0 )
!= ( n_pl @ ( n_pl @ esk65_0 @ esk66_0 ) @ X1333 ) )
| ~ $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_35,plain,
! [X1182: $i,X1183: $i,X1184: $i] :
( ~ ( in @ X1182 @ nat )
| ~ ( in @ X1183 @ nat )
| ~ ( in @ X1184 @ nat )
| ( ( n_pl @ ( n_pl @ X1182 @ X1183 ) @ X1184 )
= ( n_pl @ X1182 @ ( n_pl @ X1183 @ X1184 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
thf(c_0_36,negated_conjecture,
( ( esk64_0
= ( n_pl @ esk65_0 @ esk67_0 ) )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
thf(c_0_37,negated_conjecture,
( ( in @ esk67_0 @ nat )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
thf(c_0_38,plain,
! [X569: $i] :
( ( in @ X569 @ nat )
=> ! [X568: $i] :
( ( in @ X568 @ nat )
=> ( ( n_pl @ X569 @ X568 )
= ( n_pl @ X568 @ X569 ) ) ) ),
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_39,negated_conjecture,
! [X1: $i] :
( ~ ( in @ X1 @ nat )
| ( ( n_pl @ esk64_0 @ esk66_0 )
!= ( n_pl @ ( n_pl @ esk65_0 @ esk66_0 ) @ X1 ) )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
thf(c_0_40,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_35]) ).
thf(c_0_41,negated_conjecture,
( esk64_0
= ( n_pl @ esk65_0 @ esk67_0 ) ),
inference(cn,[status(thm)],[c_0_36]) ).
thf(c_0_42,negated_conjecture,
in @ esk67_0 @ nat,
inference(cn,[status(thm)],[c_0_37]) ).
thf(c_0_43,negated_conjecture,
in @ esk65_0 @ nat,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
thf(c_0_44,plain,
! [X1185: $i,X1186: $i] :
( ~ ( in @ X1185 @ nat )
| ~ ( in @ X1186 @ nat )
| ( ( n_pl @ X1185 @ X1186 )
= ( n_pl @ X1186 @ X1185 ) ) ),
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_45,negated_conjecture,
! [X1: $i] :
( ( ( n_pl @ esk64_0 @ esk66_0 )
!= ( n_pl @ ( n_pl @ esk65_0 @ esk66_0 ) @ X1 ) )
| ~ ( in @ X1 @ nat ) ),
inference(cn,[status(thm)],[c_0_39]) ).
thf(c_0_46,negated_conjecture,
in @ esk66_0 @ nat,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
thf(c_0_47,negated_conjecture,
! [X1: $i] :
( ( ( n_pl @ esk65_0 @ ( n_pl @ esk67_0 @ X1 ) )
= ( n_pl @ esk64_0 @ X1 ) )
| ~ ( 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_48,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_44]) ).
thf(c_0_49,negated_conjecture,
! [X1: $i] :
( ( ( n_pl @ esk65_0 @ ( n_pl @ esk66_0 @ X1 ) )
!= ( n_pl @ esk64_0 @ esk66_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_40]),c_0_46]),c_0_43])]) ).
thf(c_0_50,negated_conjecture,
! [X1: $i] :
( ( ( n_pl @ esk65_0 @ ( n_pl @ X1 @ esk67_0 ) )
= ( n_pl @ esk64_0 @ X1 ) )
| ~ ( in @ X1 @ nat ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_42])]) ).
thf(c_0_51,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_42]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM670^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 12:34:48 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.14 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/tmp/tmp.6NFSyQJwKg/E---3.1_40624.p
% 1.52/0.40 % Version: 3.5.1-ho
% 1.52/0.40 % Preprocessing class: HSLMSMSSLLLCHSA.
% 1.52/0.40 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.52/0.40 % Starting lpo1_fix with 900s (3) cores
% 1.52/0.40 % Starting full_lambda_9 with 300s (1) cores
% 1.52/0.40 % Starting almost_fo_4 with 300s (1) cores
% 1.52/0.40 % Starting new_ho_9 with 300s (1) cores
% 1.52/0.40 % Starting pre_casc_4 with 300s (1) cores
% 1.52/0.40 % Starting ho_unfolding_6 with 300s (1) cores
% 1.52/0.40 % lpo1_fix with pid 40647 completed with status 0
% 1.52/0.40 % Result found by lpo1_fix
% 1.52/0.40 % Preprocessing class: HSLMSMSSLLLCHSA.
% 1.52/0.40 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.52/0.40 % Starting lpo1_fix with 900s (3) cores
% 1.52/0.40 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.52/0.40 % No SInE strategy applied
% 1.52/0.40 % Search class: HGHSM-FSLM32-MHSMMSBN
% 1.52/0.40 % Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 1.52/0.40 % Starting SubtermCWHack with 91s (1) cores
% 1.52/0.40 % Starting full_lambda_5 with 82s (1) cores
% 1.52/0.40 % Starting new_ho_6 with 82s (1) cores
% 1.52/0.40 % new_ho_6 with pid 40670 completed with status 0
% 1.52/0.40 % Result found by new_ho_6
% 1.52/0.40 % Preprocessing class: HSLMSMSSLLLCHSA.
% 1.52/0.40 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.52/0.40 % Starting lpo1_fix with 900s (3) cores
% 1.52/0.40 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.52/0.40 % No SInE strategy applied
% 1.52/0.40 % Search class: HGHSM-FSLM32-MHSMMSBN
% 1.52/0.40 % Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 1.52/0.40 % Starting SubtermCWHack with 91s (1) cores
% 1.52/0.40 % Starting full_lambda_5 with 82s (1) cores
% 1.52/0.40 % Starting new_ho_6 with 82s (1) cores
% 1.52/0.40 % Preprocessing time : 0.007 s
% 1.52/0.40
% 1.52/0.40 % Proof found!
% 1.52/0.40 % SZS status Theorem
% 1.52/0.40 % SZS output start CNFRefutation
% See solution above
% 1.52/0.40 % Parsed axioms : 369
% 1.52/0.40 % Removed by relevancy pruning/SinE : 0
% 1.52/0.40 % Initial clauses : 870
% 1.52/0.40 % Removed in clause preprocessing : 489
% 1.52/0.40 % Initial clauses in saturation : 381
% 1.52/0.40 % Processed clauses : 1519
% 1.52/0.40 % ...of these trivial : 71
% 1.52/0.40 % ...subsumed : 560
% 1.52/0.40 % ...remaining for further processing : 888
% 1.52/0.40 % Other redundant clauses eliminated : 213
% 1.52/0.40 % Clauses deleted for lack of memory : 0
% 1.52/0.40 % Backward-subsumed : 23
% 1.52/0.40 % Backward-rewritten : 54
% 1.52/0.40 % Generated clauses : 11111
% 1.52/0.40 % ...of the previous two non-redundant : 10618
% 1.52/0.40 % ...aggressively subsumed : 0
% 1.52/0.40 % Contextual simplify-reflections : 11
% 1.52/0.40 % Paramodulations : 10824
% 1.52/0.40 % Factorizations : 2
% 1.52/0.40 % NegExts : 0
% 1.52/0.40 % Equation resolutions : 270
% 1.52/0.40 % Disequality decompositions : 0
% 1.52/0.40 % Total rewrite steps : 2278
% 1.52/0.40 % ...of those cached : 2121
% 1.52/0.40 % Propositional unsat checks : 1
% 1.52/0.40 % Propositional check models : 1
% 1.52/0.40 % Propositional check unsatisfiable : 0
% 1.52/0.40 % Propositional clauses : 0
% 1.52/0.40 % Propositional clauses after purity: 0
% 1.52/0.40 % Propositional unsat core size : 0
% 1.52/0.40 % Propositional preprocessing time : 0.000
% 1.52/0.40 % Propositional encoding time : 0.011
% 1.52/0.40 % Propositional solver time : 0.004
% 1.52/0.40 % Success case prop preproc time : 0.000
% 1.52/0.40 % Success case prop encoding time : 0.000
% 1.52/0.40 % Success case prop solver time : 0.000
% 1.52/0.40 % Current number of processed clauses : 794
% 1.52/0.40 % Positive orientable unit clauses : 153
% 1.52/0.40 % Positive unorientable unit clauses: 1
% 1.52/0.40 % Negative unit clauses : 44
% 1.52/0.40 % Non-unit-clauses : 596
% 1.52/0.40 % Current number of unprocessed clauses: 9316
% 1.52/0.40 % ...number of literals in the above : 34388
% 1.52/0.40 % Current number of archived formulas : 0
% 1.52/0.40 % Current number of archived clauses : 77
% 1.52/0.40 % Clause-clause subsumption calls (NU) : 71383
% 1.52/0.40 % Rec. Clause-clause subsumption calls : 32138
% 1.52/0.40 % Non-unit clause-clause subsumptions : 350
% 1.52/0.40 % Unit Clause-clause subsumption calls : 5435
% 1.52/0.40 % Rewrite failures with RHS unbound : 0
% 1.52/0.40 % BW rewrite match attempts : 49
% 1.52/0.40 % BW rewrite match successes : 13
% 1.52/0.40 % Condensation attempts : 1519
% 1.52/0.40 % Condensation successes : 3
% 1.52/0.40 % Termbank termtop insertions : 319263
% 1.52/0.40 % Search garbage collected termcells : 30126
% 1.52/0.40
% 1.52/0.40 % -------------------------------------------------
% 1.52/0.40 % User time : 0.205 s
% 1.52/0.40 % System time : 0.021 s
% 1.52/0.40 % Total time : 0.226 s
% 1.52/0.40 % Maximum resident set size: 8300 pages
% 1.52/0.40
% 1.52/0.40 % -------------------------------------------------
% 1.52/0.40 % User time : 0.561 s
% 1.52/0.40 % System time : 0.044 s
% 1.52/0.40 % Total time : 0.605 s
% 1.52/0.40 % Maximum resident set size: 5376 pages
% 1.52/0.40 % E exiting
%------------------------------------------------------------------------------