%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU461^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:23:52 AM UTC 2026
% Result : Theorem 0.08s 0.28s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 44 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 114 ( 7 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 620 ( 38 ~; 74 |; 28 &; 459 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 64 ( 64 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 4 con; 0-3 aty)
% Number of variables : 90 ( 15 ^; 75 !; 0 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(decl_35,type,
trans: ( $i > $i > $o ) > $o ).
thf(decl_36,type,
tc: ( $i > $i > $o ) > $i > $i > $o ).
thf(decl_52,type,
epred1_0: $i > $i > $o ).
thf(decl_53,type,
esk1_0: $i ).
thf(decl_54,type,
esk2_0: $i ).
thf(decl_55,type,
esk3_0: $i ).
thf(decl_56,type,
esk4_1: ( $i > $i > $o ) > $i ).
thf(decl_57,type,
esk5_1: ( $i > $i > $o ) > $i ).
thf(decl_58,type,
esk6_1: ( $i > $i > $o ) > $i ).
thf(decl_59,type,
esk7_1: ( $i > $i > $o ) > $i ).
thf(decl_60,type,
esk8_1: ( $i > $i > $o ) > $i ).
thf(decl_61,type,
esk9_1: ( $i > $i > $o ) > $i ).
thf(decl_62,type,
esk10_1: ( $i > $i > $o ) > $i ).
thf(decl_63,type,
esk11_1: ( $i > $i > $o ) > $i ).
thf(decl_64,type,
esk12_1: ( $i > $i > $o ) > $i ).
thf(decl_65,type,
esk13_1: ( $i > $i > $o ) > $i ).
thf(decl_66,type,
epred2_0: $i > $i > $o ).
thf(transitive_closure,axiom,
( tc
= ( ^ [X1: $i > $i > $o,X3: $i,X4: $i] :
! [X2: $i > $i > $o] :
( ( ( trans @ X2 )
& ( subrel @ X1 @ X2 ) )
=> ( X2 @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.w6kja3iDU1/E---3.1_731058.p',transitive_closure) ).
thf(subrel,axiom,
( subrel
= ( ^ [X1: $i > $i > $o,X2: $i > $i > $o] :
! [X3: $i,X4: $i] :
( ( X1 @ X3 @ X4 )
=> ( X2 @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.w6kja3iDU1/E---3.1_731058.p',subrel) ).
thf(transitive,axiom,
( trans
= ( ^ [X1: $i > $i > $o] :
! [X3: $i,X4: $i,X6: $i] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X4 @ X6 ) )
=> ( X1 @ X3 @ X6 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.w6kja3iDU1/E---3.1_731058.p',transitive) ).
thf(transitive_closure_is_transitive,conjecture,
! [X1: $i > $i > $o] : ( trans @ ( tc @ X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.w6kja3iDU1/E---3.1_731058.p',transitive_closure_is_transitive) ).
thf(c_0_4,plain,
( tc
= ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
! [X2: $i > $i > $o] :
( ( ! [X16: $i,X17: $i,X18: $i] :
( ( ( X2 @ X16 @ X17 )
& ( X2 @ X17 @ X18 ) )
=> ( X2 @ X16 @ X18 ) )
& ! [X19: $i,X20: $i] :
( ( Z0 @ X19 @ X20 )
=> ( X2 @ X19 @ X20 ) ) )
=> ( X2 @ Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[transitive_closure]) ).
thf(c_0_5,plain,
( subrel
= ( ^ [Z0: $i > $i > $o,Z1: $i > $i > $o] :
! [X3: $i,X4: $i] :
( ( Z0 @ X3 @ X4 )
=> ( Z1 @ X3 @ X4 ) ) ) ),
inference(fof_simplification,[status(thm)],[subrel]) ).
thf(c_0_6,plain,
( trans
= ( ^ [Z0: $i > $i > $o] :
! [X3: $i,X4: $i,X6: $i] :
( ( ( Z0 @ X3 @ X4 )
& ( Z0 @ X4 @ X6 ) )
=> ( Z0 @ X3 @ X6 ) ) ) ),
inference(fof_simplification,[status(thm)],[transitive]) ).
thf(c_0_7,negated_conjecture,
~ ! [X1: $i > $i > $o] : ( trans @ ( tc @ X1 ) ),
inference(assume_negation,[status(cth)],[transitive_closure_is_transitive]) ).
thf(c_0_8,plain,
( tc
= ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
! [X2: $i > $i > $o] :
( ( ! [X16: $i,X17: $i,X18: $i] :
( ( ( X2 @ X16 @ X17 )
& ( X2 @ X17 @ X18 ) )
=> ( X2 @ X16 @ X18 ) )
& ! [X19: $i,X20: $i] :
( ( Z0 @ X19 @ X20 )
=> ( X2 @ X19 @ X20 ) ) )
=> ( X2 @ Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).
thf(c_0_9,negated_conjecture,
~ ! [X1: $i > $i > $o,X164: $i,X165: $i,X166: $i] :
( ( ! [X158: $i > $i > $o] :
( ( ! [X159: $i,X160: $i,X161: $i] :
( ( ( X158 @ X159 @ X160 )
& ( X158 @ X160 @ X161 ) )
=> ( X158 @ X159 @ X161 ) )
& ! [X162: $i,X163: $i] :
( ( X1 @ X162 @ X163 )
=> ( X158 @ X162 @ X163 ) ) )
=> ( X158 @ X164 @ X165 ) )
& ! [X158: $i > $i > $o] :
( ( ! [X159: $i,X160: $i,X161: $i] :
( ( ( X158 @ X159 @ X160 )
& ( X158 @ X160 @ X161 ) )
=> ( X158 @ X159 @ X161 ) )
& ! [X162: $i,X163: $i] :
( ( X1 @ X162 @ X163 )
=> ( X158 @ X162 @ X163 ) ) )
=> ( X158 @ X165 @ X166 ) ) )
=> ! [X158: $i > $i > $o] :
( ( ! [X159: $i,X160: $i,X161: $i] :
( ( ( X158 @ X159 @ X160 )
& ( X158 @ X160 @ X161 ) )
=> ( X158 @ X159 @ X161 ) )
& ! [X162: $i,X163: $i] :
( ( X1 @ X162 @ X163 )
=> ( X158 @ X162 @ X163 ) ) )
=> ( X158 @ X164 @ X166 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_7,c_0_6]),c_0_8]) ).
thf(c_0_10,negated_conjecture,
! [X171: $i > $i > $o,X177: $i > $i > $o,X184: $i,X185: $i,X186: $i,X187: $i,X188: $i] :
( ( ( epred1_0 @ ( esk7_1 @ X171 ) @ ( esk8_1 @ X171 ) )
| ( X171 @ ( esk4_1 @ X171 ) @ ( esk5_1 @ X171 ) )
| ( X171 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X171 @ ( esk7_1 @ X171 ) @ ( esk8_1 @ X171 ) )
| ( X171 @ ( esk4_1 @ X171 ) @ ( esk5_1 @ X171 ) )
| ( X171 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ ( esk7_1 @ X171 ) @ ( esk8_1 @ X171 ) )
| ( X171 @ ( esk5_1 @ X171 ) @ ( esk6_1 @ X171 ) )
| ( X171 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X171 @ ( esk7_1 @ X171 ) @ ( esk8_1 @ X171 ) )
| ( X171 @ ( esk5_1 @ X171 ) @ ( esk6_1 @ X171 ) )
| ( X171 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ ( esk7_1 @ X171 ) @ ( esk8_1 @ X171 ) )
| ~ ( X171 @ ( esk4_1 @ X171 ) @ ( esk6_1 @ X171 ) )
| ( X171 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X171 @ ( esk7_1 @ X171 ) @ ( esk8_1 @ X171 ) )
| ~ ( X171 @ ( esk4_1 @ X171 ) @ ( esk6_1 @ X171 ) )
| ( X171 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ ( esk12_1 @ X177 ) @ ( esk13_1 @ X177 ) )
| ( X177 @ ( esk9_1 @ X177 ) @ ( esk10_1 @ X177 ) )
| ( X177 @ esk2_0 @ esk3_0 ) )
& ( ~ ( X177 @ ( esk12_1 @ X177 ) @ ( esk13_1 @ X177 ) )
| ( X177 @ ( esk9_1 @ X177 ) @ ( esk10_1 @ X177 ) )
| ( X177 @ esk2_0 @ esk3_0 ) )
& ( ( epred1_0 @ ( esk12_1 @ X177 ) @ ( esk13_1 @ X177 ) )
| ( X177 @ ( esk10_1 @ X177 ) @ ( esk11_1 @ X177 ) )
| ( X177 @ esk2_0 @ esk3_0 ) )
& ( ~ ( X177 @ ( esk12_1 @ X177 ) @ ( esk13_1 @ X177 ) )
| ( X177 @ ( esk10_1 @ X177 ) @ ( esk11_1 @ X177 ) )
| ( X177 @ esk2_0 @ esk3_0 ) )
& ( ( epred1_0 @ ( esk12_1 @ X177 ) @ ( esk13_1 @ X177 ) )
| ~ ( X177 @ ( esk9_1 @ X177 ) @ ( esk11_1 @ X177 ) )
| ( X177 @ esk2_0 @ esk3_0 ) )
& ( ~ ( X177 @ ( esk12_1 @ X177 ) @ ( esk13_1 @ X177 ) )
| ~ ( X177 @ ( esk9_1 @ X177 ) @ ( esk11_1 @ X177 ) )
| ( X177 @ esk2_0 @ esk3_0 ) )
& ( ~ ( epred2_0 @ X184 @ X185 )
| ~ ( epred2_0 @ X185 @ X186 )
| ( epred2_0 @ X184 @ X186 ) )
& ( ~ ( epred1_0 @ X187 @ X188 )
| ( epred2_0 @ X187 @ X188 ) )
& ~ ( epred2_0 @ esk1_0 @ esk3_0 ) ),
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_9])])])])])]) ).
thf(c_0_11,negated_conjecture,
! [X3: $i,X4: $i,X6: $i] :
( ( epred2_0 @ X3 @ X6 )
| ~ ( epred2_0 @ X3 @ X4 )
| ~ ( epred2_0 @ X4 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_12,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk12_1 @ X1 ) @ ( esk13_1 @ X1 ) )
| ( X1 @ ( esk10_1 @ X1 ) @ ( esk11_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_13,negated_conjecture,
! [X1: $i > $i > $o] :
( ( X1 @ ( esk10_1 @ X1 ) @ ( esk11_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk3_0 )
| ~ ( X1 @ ( esk12_1 @ X1 ) @ ( esk13_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_14,negated_conjecture,
! [X3: $i,X4: $i] :
( ( epred2_0 @ X3 @ X4 )
| ~ ( epred1_0 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ ( esk12_1 @ epred2_0 ) @ ( esk13_1 @ epred2_0 ) )
| ( epred2_0 @ X3 @ ( esk11_1 @ epred2_0 ) )
| ( epred2_0 @ esk2_0 @ esk3_0 )
| ~ ( epred2_0 @ X3 @ ( esk10_1 @ epred2_0 ) ) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_16,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk12_1 @ X1 ) @ ( esk13_1 @ X1 ) )
| ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_17,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk12_1 @ X1 ) @ ( esk13_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk3_0 )
| ~ ( X1 @ ( esk9_1 @ X1 ) @ ( esk11_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_18,negated_conjecture,
( ( epred2_0 @ ( esk10_1 @ epred2_0 ) @ ( esk11_1 @ epred2_0 ) )
| ( epred2_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ ( esk12_1 @ epred2_0 ) @ ( esk13_1 @ epred2_0 ) ) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_19,negated_conjecture,
( ( epred1_0 @ ( esk12_1 @ epred2_0 ) @ ( esk13_1 @ epred2_0 ) )
| ( epred2_0 @ esk2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
thf(c_0_20,negated_conjecture,
! [X1: $i > $i > $o] :
( ( X1 @ ( esk5_1 @ X1 ) @ ( esk6_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk7_1 @ X1 ) @ ( esk8_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_21,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk7_1 @ X1 ) @ ( esk8_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) @ ( esk6_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_22,negated_conjecture,
( ( epred2_0 @ ( esk10_1 @ epred2_0 ) @ ( esk11_1 @ epred2_0 ) )
| ( epred2_0 @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_23,negated_conjecture,
! [X1: $i > $i > $o] :
( ( X1 @ ( esk9_1 @ X1 ) @ ( esk10_1 @ X1 ) )
| ( X1 @ esk2_0 @ esk3_0 )
| ~ ( X1 @ ( esk12_1 @ X1 ) @ ( esk13_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_24,negated_conjecture,
( ( epred2_0 @ ( esk5_1 @ epred2_0 ) @ ( esk6_1 @ epred2_0 ) )
| ( epred2_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_14]),c_0_21]) ).
thf(c_0_25,negated_conjecture,
! [X1: $i > $i > $o] :
( ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk7_1 @ X1 ) @ ( esk8_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_26,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk7_1 @ X1 ) @ ( esk8_1 @ X1 ) )
| ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_27,negated_conjecture,
! [X3: $i] :
( ( epred2_0 @ X3 @ ( esk11_1 @ epred2_0 ) )
| ( epred2_0 @ esk2_0 @ esk3_0 )
| ~ ( epred2_0 @ X3 @ ( esk10_1 @ epred2_0 ) ) ),
inference(spm,[status(thm)],[c_0_11,c_0_22]) ).
thf(c_0_28,negated_conjecture,
( ( epred2_0 @ ( esk9_1 @ epred2_0 ) @ ( esk10_1 @ epred2_0 ) )
| ( epred2_0 @ esk2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_14]),c_0_16]) ).
thf(c_0_29,negated_conjecture,
! [X3: $i] :
( ( epred2_0 @ X3 @ ( esk6_1 @ epred2_0 ) )
| ( epred2_0 @ esk1_0 @ esk2_0 )
| ~ ( epred2_0 @ X3 @ ( esk5_1 @ epred2_0 ) ) ),
inference(spm,[status(thm)],[c_0_11,c_0_24]) ).
thf(c_0_30,negated_conjecture,
( ( epred2_0 @ ( esk4_1 @ epred2_0 ) @ ( esk5_1 @ epred2_0 ) )
| ( epred2_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_14]),c_0_26]) ).
thf(c_0_31,negated_conjecture,
! [X1: $i > $i > $o] :
( ( X1 @ esk2_0 @ esk3_0 )
| ~ ( X1 @ ( esk12_1 @ X1 ) @ ( esk13_1 @ X1 ) )
| ~ ( X1 @ ( esk9_1 @ X1 ) @ ( esk11_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_32,negated_conjecture,
( ( epred2_0 @ ( esk9_1 @ epred2_0 ) @ ( esk11_1 @ epred2_0 ) )
| ( epred2_0 @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_33,negated_conjecture,
! [X1: $i > $i > $o] :
( ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk7_1 @ X1 ) @ ( esk8_1 @ X1 ) )
| ~ ( X1 @ ( esk4_1 @ X1 ) @ ( esk6_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_34,negated_conjecture,
( ( epred2_0 @ ( esk4_1 @ epred2_0 ) @ ( esk6_1 @ epred2_0 ) )
| ( epred2_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_35,negated_conjecture,
( ( epred2_0 @ esk2_0 @ esk3_0 )
| ~ ( epred2_0 @ ( esk12_1 @ epred2_0 ) @ ( esk13_1 @ epred2_0 ) ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_36,negated_conjecture,
( ( epred2_0 @ esk1_0 @ esk2_0 )
| ~ ( epred2_0 @ ( esk7_1 @ epred2_0 ) @ ( esk8_1 @ epred2_0 ) ) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_37,negated_conjecture,
epred2_0 @ esk2_0 @ esk3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_14]),c_0_19]) ).
thf(c_0_38,negated_conjecture,
! [X1: $i > $i > $o] :
( ( epred1_0 @ ( esk7_1 @ X1 ) @ ( esk8_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk4_1 @ X1 ) @ ( esk6_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_39,negated_conjecture,
( ( epred2_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ ( esk7_1 @ epred2_0 ) @ ( esk8_1 @ epred2_0 ) ) ),
inference(spm,[status(thm)],[c_0_36,c_0_14]) ).
thf(c_0_40,negated_conjecture,
~ ( epred2_0 @ esk1_0 @ esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_41,negated_conjecture,
! [X3: $i] :
( ( epred2_0 @ X3 @ esk3_0 )
| ~ ( epred2_0 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_37]) ).
thf(c_0_42,negated_conjecture,
epred2_0 @ esk1_0 @ esk2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_34]),c_0_39]) ).
thf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU461^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n006.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 13:41:39 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 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.w6kja3iDU1/E---3.1_731058.p
% 0.08/0.28 % Version: 3.5.1-ho
% 0.08/0.28 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.08/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.28 % Starting new_ho_9 with 1500s (5) cores
% 0.08/0.28 % Starting post_as_ho1 with 300s (1) cores
% 0.08/0.28 % Starting sh1l with 300s (1) cores
% 0.08/0.28 % Starting post_as_ho10 with 300s (1) cores
% 0.08/0.28 % new_ho_9 with pid 731092 completed with status 0
% 0.08/0.28 % Result found by new_ho_9
% 0.08/0.28 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.08/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.28 % Starting new_ho_9 with 1500s (5) cores
% 0.08/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.28 % No SInE strategy applied
% 0.08/0.28 % Search class: HGUNF-FFSF11-SHSSMMBN
% 0.08/0.28 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.28 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.28 % Starting new_ho_9 with 151s (1) cores
% 0.08/0.28 % Starting new_bool_3 with 136s (1) cores
% 0.08/0.28 % Starting new_bool_2 with 136s (1) cores
% 0.08/0.28 % Starting ehoh_best8_lambda with 136s (1) cores
% 0.08/0.28 % new_ho_9 with pid 731099 completed with status 0
% 0.08/0.28 % Result found by new_ho_9
% 0.08/0.28 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.08/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.28 % Starting new_ho_9 with 1500s (5) cores
% 0.08/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.28 % No SInE strategy applied
% 0.08/0.28 % Search class: HGUNF-FFSF11-SHSSMMBN
% 0.08/0.28 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.28 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.28 % Starting new_ho_9 with 151s (1) cores
% 0.08/0.28 % Preprocessing time : 0.001 s
% 0.08/0.28 % Presaturation interreduction done
% 0.08/0.28
% 0.08/0.28 % Proof found!
% 0.08/0.28 % SZS status Theorem
% 0.08/0.28 % SZS output start CNFRefutation
% See solution above
% 0.08/0.28 % Parsed axioms : 59
% 0.08/0.28 % Removed by relevancy pruning/SinE : 0
% 0.08/0.28 % Initial clauses : 44
% 0.08/0.28 % Removed in clause preprocessing : 29
% 0.08/0.28 % Initial clauses in saturation : 15
% 0.08/0.28 % Processed clauses : 107
% 0.08/0.28 % ...of these trivial : 6
% 0.08/0.28 % ...subsumed : 20
% 0.08/0.28 % ...remaining for further processing : 81
% 0.08/0.28 % Other redundant clauses eliminated : 0
% 0.08/0.28 % Clauses deleted for lack of memory : 0
% 0.08/0.28 % Backward-subsumed : 10
% 0.08/0.28 % Backward-rewritten : 22
% 0.08/0.28 % Generated clauses : 133
% 0.08/0.28 % ...of the previous two non-redundant : 121
% 0.08/0.28 % ...aggressively subsumed : 0
% 0.08/0.28 % Contextual simplify-reflections : 7
% 0.08/0.28 % Paramodulations : 133
% 0.08/0.28 % Factorizations : 0
% 0.08/0.28 % NegExts : 0
% 0.08/0.28 % Equation resolutions : 0
% 0.08/0.28 % Disequality decompositions : 0
% 0.08/0.28 % Total rewrite steps : 38
% 0.08/0.28 % ...of those cached : 36
% 0.08/0.28 % Propositional unsat checks : 0
% 0.08/0.28 % Propositional check models : 0
% 0.08/0.28 % Propositional check unsatisfiable : 0
% 0.08/0.28 % Propositional clauses : 0
% 0.08/0.28 % Propositional clauses after purity: 0
% 0.08/0.28 % Propositional unsat core size : 0
% 0.08/0.28 % Propositional preprocessing time : 0.000
% 0.08/0.28 % Propositional encoding time : 0.000
% 0.08/0.28 % Propositional solver time : 0.000
% 0.08/0.28 % Success case prop preproc time : 0.000
% 0.08/0.28 % Success case prop encoding time : 0.000
% 0.08/0.28 % Success case prop solver time : 0.000
% 0.08/0.28 % Current number of processed clauses : 34
% 0.08/0.28 % Positive orientable unit clauses : 2
% 0.08/0.28 % Positive unorientable unit clauses: 0
% 0.08/0.28 % Negative unit clauses : 3
% 0.08/0.28 % Non-unit-clauses : 29
% 0.08/0.28 % Current number of unprocessed clauses: 32
% 0.08/0.28 % ...number of literals in the above : 125
% 0.08/0.28 % Current number of archived formulas : 0
% 0.08/0.28 % Current number of archived clauses : 47
% 0.08/0.28 % Clause-clause subsumption calls (NU) : 886
% 0.08/0.28 % Rec. Clause-clause subsumption calls : 750
% 0.08/0.28 % Non-unit clause-clause subsumptions : 35
% 0.08/0.28 % Unit Clause-clause subsumption calls : 27
% 0.08/0.28 % Rewrite failures with RHS unbound : 0
% 0.08/0.28 % BW rewrite match attempts : 2
% 0.08/0.28 % BW rewrite match successes : 2
% 0.08/0.28 % Condensation attempts : 107
% 0.08/0.28 % Condensation successes : 0
% 0.08/0.28 % Termbank termtop insertions : 7353
% 0.08/0.28 % Search garbage collected termcells : 988
% 0.08/0.28
% 0.08/0.28 % -------------------------------------------------
% 0.08/0.28 % User time : 0.009 s
% 0.08/0.28 % System time : 0.004 s
% 0.08/0.28 % Total time : 0.013 s
% 0.08/0.28 % Maximum resident set size: 3940 pages
% 0.08/0.28
% 0.08/0.28 % -------------------------------------------------
% 0.08/0.28 % User time : 0.029 s
% 0.08/0.28 % System time : 0.016 s
% 0.08/0.28 % Total time : 0.045 s
% 0.08/0.28 % Maximum resident set size: 4864 pages
% 0.08/0.28 % E exiting
%------------------------------------------------------------------------------