TSTP Solution File: NUM688^4 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM688^4 : TPTP v8.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 01:15:35 EDT 2024
% Result : Theorem 0.72s 0.61s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 35
% Syntax : Number of formulae : 75 ( 33 unt; 20 typ; 0 def)
% Number of atoms : 232 ( 41 equ; 0 cnn)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 499 ( 39 ~; 27 |; 7 &; 386 @)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 43 ( 43 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 20 usr; 7 con; 0-3 aty)
% Number of variables : 110 ( 76 ^ 34 !; 0 ?; 110 :)
% 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_72,type,
l_some: $i > ( $i > $o ) > $o ).
thf(decl_77,type,
e_is: $i > $i > $i > $o ).
thf(decl_123,type,
nat: $i ).
thf(decl_124,type,
n_is: $i > $i > $o ).
thf(decl_127,type,
n_some: ( $i > $o ) > $o ).
thf(decl_142,type,
n_pl: $i > $i > $i ).
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_151,type,
moreis: $i > $i > $o ).
thf(decl_155,type,
esk1_0: $i ).
thf(decl_156,type,
esk2_0: $i ).
thf(decl_157,type,
esk3_0: $i ).
thf(decl_158,type,
esk4_0: $i ).
thf(def_d_not,axiom,
( d_not
= ( ^ [X76: $o] : ( imp @ X76 @ ~ $true ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_d_not) ).
thf(def_imp,axiom,
( imp
= ( ^ [X74: $o,X75: $o] :
( X74
=> X75 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_imp) ).
thf(def_d_29_ii,axiom,
( d_29_ii
= ( ^ [X1: $i,X210: $i] : ( n_some @ ( diffprop @ X1 @ X210 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_d_29_ii) ).
thf(def_l_or,axiom,
( l_or
= ( ^ [X83: $o] : ( imp @ ( d_not @ X83 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_l_or) ).
thf(def_e_is,axiom,
( e_is
= ( ^ [X1: $i,X101: $i,X102: $i] : ( X101 = X102 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_e_is) ).
thf(def_moreis,axiom,
( moreis
= ( ^ [X1: $i,X229: $i] : ( l_or @ ( d_29_ii @ X1 @ X229 ) @ ( n_is @ X1 @ X229 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_moreis) ).
thf(def_n_some,axiom,
( n_some
= ( l_some @ nat ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_n_some) ).
thf(def_n_is,axiom,
( n_is
= ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/NUM007^0.ax',def_is_of) ).
thf(satz22b,conjecture,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X313: $i] : ( in @ X313 @ nat )
@ ^ [X314: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ nat )
@ ^ [X4: $i] :
( all_of
@ ^ [X13: $i] : ( in @ X13 @ nat )
@ ^ [X13: $i] :
( ( d_29_ii @ X1 @ X314 )
=> ( ( moreis @ X4 @ X13 )
=> ( d_29_ii @ ( n_pl @ X1 @ X4 ) @ ( n_pl @ X314 @ X13 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz22b) ).
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/benchmark/theBenchmark.p',satz6) ).
thf(def_iii,axiom,
( iii
= ( ^ [X1: $i,X211: $i] : ( n_some @ ( diffprop @ X211 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_iii) ).
thf(satz21a,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X309: $i] : ( in @ X309 @ nat )
@ ^ [X310: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ nat )
@ ^ [X4: $i] :
( all_of
@ ^ [X13: $i] : ( in @ X13 @ nat )
@ ^ [X13: $i] :
( ( iii @ X1 @ X310 )
=> ( ( iii @ X4 @ X13 )
=> ( iii @ ( n_pl @ X1 @ X4 ) @ ( n_pl @ X310 @ X13 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz21a) ).
thf(satz19f,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X277: $i] : ( in @ X277 @ nat )
@ ^ [X278: $i] :
( all_of
@ ^ [X4: $i] : ( in @ X4 @ nat )
@ ^ [X4: $i] :
( ( iii @ X1 @ X278 )
=> ( iii @ ( n_pl @ X4 @ X1 ) @ ( n_pl @ X4 @ X278 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19f) ).
thf(c_0_15,plain,
( d_not
= ( ^ [Z0: $o] :
( Z0
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_d_not]) ).
thf(c_0_16,plain,
( imp
= ( ^ [Z0: $o,Z1: $o] :
( Z0
=> Z1 ) ) ),
inference(fof_simplification,[status(thm)],[def_imp]) ).
thf(c_0_17,plain,
( d_29_ii
= ( ^ [Z0: $i,Z1: $i] : ( l_some @ nat @ ( diffprop @ Z0 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_d_29_ii]) ).
thf(c_0_18,plain,
( l_or
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ~ $true )
=> Z1 ) ) ),
inference(fof_simplification,[status(thm)],[def_l_or]) ).
thf(c_0_19,plain,
( d_not
= ( ^ [Z0: $o] :
( Z0
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[c_0_15,c_0_16]) ).
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,
( moreis
= ( ^ [Z0: $i,Z1: $i] :
( ( ( l_some @ nat @ ( diffprop @ Z0 @ Z1 ) )
=> ~ $true )
=> ( Z0 = Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_moreis]) ).
thf(c_0_22,plain,
( d_29_ii
= ( ^ [Z0: $i,Z1: $i] : ( l_some @ nat @ ( diffprop @ Z0 @ Z1 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_17,def_n_some]) ).
thf(c_0_23,plain,
( l_or
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ~ $true )
=> Z1 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_18,c_0_16]),c_0_19]) ).
thf(c_0_24,axiom,
( n_is
= ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
inference(apply_def,[status(thm)],[def_n_is,c_0_20]) ).
thf(c_0_25,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_26,plain,
( is_of
= ( ^ [Z0: $i,Z1: $i > $o] : ( Z1 @ Z0 ) ) ),
inference(fof_simplification,[status(thm)],[def_is_of]) ).
thf(c_0_27,plain,
( moreis
= ( ^ [Z0: $i,Z1: $i] :
( ( ( l_some @ nat @ ( diffprop @ Z0 @ Z1 ) )
=> ~ $true )
=> ( Z0 = Z1 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]) ).
thf(c_0_28,plain,
( all_of
= ( ^ [Z0: $i > $o,Z1: $i > $o] :
! [X4: $i] :
( ( Z0 @ X4 )
=> ( Z1 @ X4 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_29,negated_conjecture,
~ ! [X385: $i] :
( ( in @ X385 @ nat )
=> ! [X384: $i] :
( ( in @ X384 @ nat )
=> ! [X383: $i] :
( ( in @ X383 @ nat )
=> ! [X382: $i] :
( ( in @ X382 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ X385 @ X384 ) )
=> ( ( ( ( l_some @ nat @ ( diffprop @ X383 @ X382 ) )
=> ~ $true )
=> ( X383 = X382 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ X385 @ X383 ) @ ( n_pl @ X384 @ X382 ) ) ) ) ) ) ) ) ),
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)],[satz22b])]),c_0_27]),c_0_22]),c_0_28]) ).
thf(c_0_30,plain,
! [X400: $i] :
( ( in @ X400 @ nat )
=> ! [X399: $i] :
( ( in @ X399 @ nat )
=> ( ( n_pl @ X400 @ X399 )
= ( n_pl @ X399 @ X400 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz6]),c_0_28]),c_0_24]) ).
thf(c_0_31,plain,
( iii
= ( ^ [Z0: $i,Z1: $i] : ( l_some @ nat @ ( diffprop @ Z1 @ Z0 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_iii]) ).
thf(c_0_32,negated_conjecture,
( ( in @ esk1_0 @ nat )
& ( in @ esk2_0 @ nat )
& ( in @ esk3_0 @ nat )
& ( in @ esk4_0 @ nat )
& ( l_some @ nat @ ( diffprop @ esk1_0 @ esk2_0 ) )
& ( ( l_some @ nat @ ( diffprop @ esk3_0 @ esk4_0 ) )
| ( esk3_0 = esk4_0 ) )
& ( $true
| ( esk3_0 = esk4_0 ) )
& ~ ( l_some @ nat @ ( diffprop @ ( n_pl @ esk1_0 @ esk3_0 ) @ ( n_pl @ esk2_0 @ esk4_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_29])])])])]) ).
thf(c_0_33,plain,
! [X590: $i,X591: $i] :
( ~ ( in @ X590 @ nat )
| ~ ( in @ X591 @ nat )
| ( ( n_pl @ X590 @ X591 )
= ( n_pl @ X591 @ X590 ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).
thf(c_0_34,plain,
( iii
= ( ^ [Z0: $i,Z1: $i] : ( l_some @ nat @ ( diffprop @ Z1 @ Z0 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_31,def_n_some]) ).
thf(c_0_35,negated_conjecture,
~ ( l_some @ nat @ ( diffprop @ ( n_pl @ esk1_0 @ esk3_0 ) @ ( n_pl @ esk2_0 @ esk4_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_36,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_33]) ).
thf(c_0_37,negated_conjecture,
in @ esk2_0 @ nat,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_38,negated_conjecture,
in @ esk4_0 @ nat,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_39,plain,
! [X506: $i] :
( ( in @ X506 @ nat )
=> ! [X505: $i] :
( ( in @ X505 @ nat )
=> ! [X504: $i] :
( ( in @ X504 @ nat )
=> ! [X503: $i] :
( ( in @ X503 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ X505 @ X506 ) )
=> ( ( l_some @ nat @ ( diffprop @ X503 @ X504 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ X505 @ X503 ) @ ( n_pl @ X506 @ X504 ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz21a]),c_0_34]),c_0_28]) ).
thf(c_0_40,negated_conjecture,
~ ( l_some @ nat @ ( diffprop @ ( n_pl @ esk1_0 @ esk3_0 ) @ ( n_pl @ esk4_0 @ esk2_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38])]) ).
thf(c_0_41,negated_conjecture,
in @ esk3_0 @ nat,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_42,negated_conjecture,
in @ esk1_0 @ nat,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_43,plain,
! [X690: $i,X691: $i,X692: $i,X693: $i] :
( ~ ( in @ X690 @ nat )
| ~ ( in @ X691 @ nat )
| ~ ( in @ X692 @ nat )
| ~ ( in @ X693 @ nat )
| ~ ( l_some @ nat @ ( diffprop @ X691 @ X690 ) )
| ~ ( l_some @ nat @ ( diffprop @ X693 @ X692 ) )
| ( l_some @ nat @ ( diffprop @ ( n_pl @ X691 @ X693 ) @ ( n_pl @ X690 @ X692 ) ) ) ),
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_44,negated_conjecture,
~ ( l_some @ nat @ ( diffprop @ ( n_pl @ esk3_0 @ esk1_0 ) @ ( n_pl @ esk4_0 @ esk2_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_36]),c_0_41]),c_0_42])]) ).
thf(c_0_45,plain,
! [X1: $i,X4: $i,X6: $i,X5: $i] :
( ( l_some @ nat @ ( diffprop @ ( n_pl @ X4 @ X6 ) @ ( n_pl @ X1 @ X5 ) ) )
| ~ ( in @ X1 @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X5 @ nat )
| ~ ( in @ X6 @ nat )
| ~ ( l_some @ nat @ ( diffprop @ X4 @ X1 ) )
| ~ ( l_some @ nat @ ( diffprop @ X6 @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
thf(c_0_46,negated_conjecture,
l_some @ nat @ ( diffprop @ esk1_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_47,negated_conjecture,
( ( l_some @ nat @ ( diffprop @ esk3_0 @ esk4_0 ) )
| ( esk3_0 = esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_48,negated_conjecture,
~ ( l_some @ nat @ ( diffprop @ esk3_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_42]),c_0_37]),c_0_41]),c_0_38])]) ).
thf(c_0_49,plain,
! [X476: $i] :
( ( in @ X476 @ nat )
=> ! [X475: $i] :
( ( in @ X475 @ nat )
=> ! [X474: $i] :
( ( in @ X474 @ nat )
=> ( ( l_some @ nat @ ( diffprop @ X475 @ X476 ) )
=> ( l_some @ nat @ ( diffprop @ ( n_pl @ X474 @ X475 ) @ ( n_pl @ X474 @ X476 ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz19f]),c_0_34]),c_0_28]) ).
thf(c_0_50,negated_conjecture,
esk4_0 = esk3_0,
inference(sr,[status(thm)],[c_0_47,c_0_48]) ).
thf(c_0_51,plain,
! [X661: $i,X662: $i,X663: $i] :
( ~ ( in @ X661 @ nat )
| ~ ( in @ X662 @ nat )
| ~ ( in @ X663 @ nat )
| ~ ( l_some @ nat @ ( diffprop @ X662 @ X661 ) )
| ( l_some @ nat @ ( diffprop @ ( n_pl @ X663 @ X662 ) @ ( n_pl @ X663 @ X661 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).
thf(c_0_52,negated_conjecture,
~ ( l_some @ nat @ ( diffprop @ ( n_pl @ esk3_0 @ esk1_0 ) @ ( n_pl @ esk3_0 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_44,c_0_50]) ).
thf(c_0_53,plain,
! [X5: $i,X4: $i,X1: $i] :
( ( l_some @ nat @ ( diffprop @ ( n_pl @ X5 @ X4 ) @ ( n_pl @ X5 @ X1 ) ) )
| ~ ( in @ X1 @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X5 @ nat )
| ~ ( l_some @ nat @ ( diffprop @ X4 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
thf(c_0_54,negated_conjecture,
$false,
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_52,c_0_53]),c_0_46]),c_0_41]),c_0_42]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM688^4 : TPTP v8.2.0. Released v7.1.0.
% 0.14/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 06:17:37 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.22/0.49 Running higher-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/0.61 # Version: 3.1.0-ho
% 0.72/0.61 # Preprocessing class: HSLMSMSSLLLCHSA.
% 0.72/0.61 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.72/0.61 # Starting lpo1_fix with 900s (3) cores
% 0.72/0.61 # Starting full_lambda_9 with 300s (1) cores
% 0.72/0.61 # Starting almost_fo_4 with 300s (1) cores
% 0.72/0.61 # Starting new_ho_9 with 300s (1) cores
% 0.72/0.61 # Starting pre_casc_4 with 300s (1) cores
% 0.72/0.61 # Starting ho_unfolding_6 with 300s (1) cores
% 0.72/0.61 # full_lambda_9 with pid 31812 completed with status 0
% 0.72/0.61 # Result found by full_lambda_9
% 0.72/0.61 # Preprocessing class: HSLMSMSSLLLCHSA.
% 0.72/0.61 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.72/0.61 # Starting lpo1_fix with 900s (3) cores
% 0.72/0.61 # Starting full_lambda_9 with 300s (1) cores
% 0.72/0.61 # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.72/0.61 # Search class: HGHSM-FSLM32-DHSMMSBN
% 0.72/0.61 # partial match(1): HGHSM-FSLM32-MHSMMSBN
% 0.72/0.61 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.72/0.61 # Starting full_lambda_5 with 25s (1) cores
% 0.72/0.61 # full_lambda_5 with pid 31817 completed with status 0
% 0.72/0.61 # Result found by full_lambda_5
% 0.72/0.61 # Preprocessing class: HSLMSMSSLLLCHSA.
% 0.72/0.61 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.72/0.61 # Starting lpo1_fix with 900s (3) cores
% 0.72/0.61 # Starting full_lambda_9 with 300s (1) cores
% 0.72/0.61 # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.72/0.61 # Search class: HGHSM-FSLM32-DHSMMSBN
% 0.72/0.61 # partial match(1): HGHSM-FSLM32-MHSMMSBN
% 0.72/0.61 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.72/0.61 # Starting full_lambda_5 with 25s (1) cores
% 0.72/0.61 # Preprocessing time : 0.006 s
% 0.72/0.61 # Presaturation interreduction done
% 0.72/0.61
% 0.72/0.61 # Proof found!
% 0.72/0.61 # SZS status Theorem
% 0.72/0.61 # SZS output start CNFRefutation
% See solution above
% 0.72/0.61 # Parsed axioms : 392
% 0.72/0.61 # Removed by relevancy pruning/SinE : 263
% 0.72/0.61 # Initial clauses : 342
% 0.72/0.61 # Removed in clause preprocessing : 175
% 0.72/0.61 # Initial clauses in saturation : 167
% 0.72/0.61 # Processed clauses : 367
% 0.72/0.61 # ...of these trivial : 5
% 0.72/0.61 # ...subsumed : 92
% 0.72/0.61 # ...remaining for further processing : 270
% 0.72/0.61 # Other redundant clauses eliminated : 21
% 0.72/0.61 # Clauses deleted for lack of memory : 0
% 0.72/0.61 # Backward-subsumed : 0
% 0.72/0.61 # Backward-rewritten : 3
% 0.72/0.61 # Generated clauses : 741
% 0.72/0.61 # ...of the previous two non-redundant : 712
% 0.72/0.61 # ...aggressively subsumed : 0
% 0.72/0.61 # Contextual simplify-reflections : 1
% 0.72/0.61 # Paramodulations : 551
% 0.72/0.61 # Factorizations : 2
% 0.72/0.61 # NegExts : 2
% 0.72/0.61 # Equation resolutions : 27
% 0.72/0.61 # Disequality decompositions : 0
% 0.72/0.61 # Total rewrite steps : 151
% 0.72/0.61 # ...of those cached : 134
% 0.72/0.61 # Propositional unsat checks : 0
% 0.72/0.61 # Propositional check models : 0
% 0.72/0.61 # Propositional check unsatisfiable : 0
% 0.72/0.61 # Propositional clauses : 0
% 0.72/0.61 # Propositional clauses after purity: 0
% 0.72/0.61 # Propositional unsat core size : 0
% 0.72/0.61 # Propositional preprocessing time : 0.000
% 0.72/0.61 # Propositional encoding time : 0.000
% 0.72/0.61 # Propositional solver time : 0.000
% 0.72/0.61 # Success case prop preproc time : 0.000
% 0.72/0.61 # Success case prop encoding time : 0.000
% 0.72/0.61 # Success case prop solver time : 0.000
% 0.72/0.61 # Current number of processed clauses : 142
% 0.72/0.61 # Positive orientable unit clauses : 20
% 0.72/0.61 # Positive unorientable unit clauses: 0
% 0.72/0.61 # Negative unit clauses : 17
% 0.72/0.61 # Non-unit-clauses : 105
% 0.72/0.61 # Current number of unprocessed clauses: 623
% 0.72/0.61 # ...number of literals in the above : 3205
% 0.72/0.61 # Current number of archived formulas : 0
% 0.72/0.61 # Current number of archived clauses : 115
% 0.72/0.61 # Clause-clause subsumption calls (NU) : 5594
% 0.72/0.61 # Rec. Clause-clause subsumption calls : 1374
% 0.72/0.61 # Non-unit clause-clause subsumptions : 82
% 0.72/0.61 # Unit Clause-clause subsumption calls : 132
% 0.72/0.61 # Rewrite failures with RHS unbound : 0
% 0.72/0.61 # BW rewrite match attempts : 5
% 0.72/0.61 # BW rewrite match successes : 1
% 0.72/0.61 # Condensation attempts : 0
% 0.72/0.61 # Condensation successes : 0
% 0.72/0.61 # Termbank termtop insertions : 64104
% 0.72/0.61 # Search garbage collected termcells : 16770
% 0.72/0.61
% 0.72/0.61 # -------------------------------------------------
% 0.72/0.61 # User time : 0.082 s
% 0.72/0.61 # System time : 0.010 s
% 0.72/0.61 # Total time : 0.092 s
% 0.72/0.61 # Maximum resident set size: 4848 pages
% 0.72/0.61
% 0.72/0.61 # -------------------------------------------------
% 0.72/0.61 # User time : 0.095 s
% 0.72/0.61 # System time : 0.011 s
% 0.72/0.61 # Total time : 0.106 s
% 0.72/0.61 # Maximum resident set size: 2364 pages
% 0.72/0.61 % E---3.1 exiting
% 0.72/0.61 % E exiting
%------------------------------------------------------------------------------