%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP203^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 08:04:40 AM UTC 2026
% Result : Theorem 162.30s 53.59s
% Output : CNFRefutation 162.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 54 equ; 0 cnn)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 355 ( 22 ~; 14 |; 7 &; 308 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 10 ( 10 usr)
% Number of type conns : 96 ( 96 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 8 con; 0-4 aty)
% Number of variables : 136 ( 102 ^; 32 !; 2 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
option_fml: $tType ).
thf(decl_sort2,type,
option_trm: $tType ).
thf(decl_sort3,type,
option_game: $tType ).
thf(decl_sort4,type,
char: $tType ).
thf(decl_sort5,type,
produc799602994n_game: $tType ).
thf(decl_sort6,type,
produc62062515n_game: $tType ).
thf(decl_sort7,type,
set_variable: $tType ).
thf(decl_sort8,type,
trm: $tType ).
thf(decl_sort9,type,
fml: $tType ).
thf(decl_sort10,type,
produc1418842292n_game: $tType ).
thf(decl_36,type,
inf_inf_set_variable: set_variable > set_variable > set_variable ).
thf(decl_37,type,
none_fml: option_fml ).
thf(decl_39,type,
none_trm: option_trm ).
thf(decl_40,type,
some_fml: fml > option_fml ).
thf(decl_49,type,
the_fml: option_fml > fml ).
thf(decl_51,type,
the_trm: option_trm > trm ).
thf(decl_63,type,
bot_bot_set_variable: set_variable ).
thf(decl_86,type,
produc1420172399on_fml: ( ( char > option_fml ) > ( char > option_game ) > char > option_fml ) > produc799602994n_game > char > option_fml ).
thf(decl_91,type,
produc1615133358on_fml: ( ( char > option_trm ) > produc799602994n_game > char > option_fml ) > produc62062515n_game > char > option_fml ).
thf(decl_96,type,
produc1250175341on_fml: ( ( char > option_trm ) > produc62062515n_game > char > option_fml ) > produc1418842292n_game > char > option_fml ).
thf(decl_104,type,
static_FVF: fml > set_variable ).
thf(decl_108,type,
pred: char > trm > fml ).
thf(decl_122,type,
uSubst1408967625substt: trm > produc1418842292n_game ).
thf(decl_124,type,
uSubst516392804stappf: produc1418842292n_game > set_variable > fml > option_fml ).
thf(decl_125,type,
uSubst516392818stappt: produc1418842292n_game > set_variable > trm > option_trm ).
thf(decl_135,type,
va: set_variable ).
thf(decl_136,type,
sigma: produc1418842292n_game ).
thf(decl_137,type,
theta: trm ).
thf(decl_138,type,
p: char ).
thf(decl_167,type,
esk29_4: produc1418842292n_game > set_variable > char > trm > fml ).
thf(fact_8__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_092_060close_062,axiom,
~ ( ( ( inf_inf_set_variable
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X23: char > option_trm] :
( produc1615133358on_fml
@ ^ [X24: char > option_trm] :
( produc1420172399on_fml
@ ^ [X25: char > option_fml,X26: char > option_game] : X25 ) )
@ sigma
@ p ) ) )
@ va )
!= bot_bot_set_variable )
=> ( none_fml
= ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [X23: char > option_trm] :
( produc1615133358on_fml
@ ^ [X24: char > option_trm] :
( produc1420172399on_fml
@ ^ [X25: char > option_fml,X26: char > option_game] : X25 ) )
@ sigma
@ p ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PR49A0usTM/E---3.1_2147565.p',fact_8__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_092_060close_062) ).
thf(fact_79_inf__commute,axiom,
( inf_inf_set_variable
= ( ^ [X154: set_variable,X155: set_variable] : ( inf_inf_set_variable @ X155 @ X154 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PR49A0usTM/E---3.1_2147565.p',fact_79_inf__commute) ).
thf(conj_0,conjecture,
( ( produc1250175341on_fml
@ ^ [X23: char > option_trm] :
( produc1615133358on_fml
@ ^ [X24: char > option_trm] :
( produc1420172399on_fml
@ ^ [X25: char > option_fml,X26: char > option_game] : X25 ) )
@ sigma
@ p )
= none_fml ),
file('/export/starexec/sandbox2/tmp/tmp.PR49A0usTM/E---3.1_2147565.p',conj_0) ).
thf(fact_139_usubstappf__pred__conv,axiom,
! [X65: produc1418842292n_game,X68: set_variable,X66: char,X69: trm] :
( ( ( uSubst516392804stappf @ X65 @ X68 @ ( pred @ X66 @ X69 ) )
!= none_fml )
=> ( ( ( uSubst516392818stappt @ X65 @ X68 @ X69 )
!= none_trm )
& ( ( ( produc1250175341on_fml
@ ^ [X23: char > option_trm] :
( produc1615133358on_fml
@ ^ [X24: char > option_trm] :
( produc1420172399on_fml
@ ^ [X25: char > option_fml,X26: char > option_game] : X25 ) )
@ X65
@ X66 )
= none_fml )
| ? [X288: fml] :
( ( ( produc1250175341on_fml
@ ^ [X23: char > option_trm] :
( produc1615133358on_fml
@ ^ [X24: char > option_trm] :
( produc1420172399on_fml
@ ^ [X25: char > option_fml,X26: char > option_game] : X25 ) )
@ X65
@ X66 )
= ( some_fml @ X288 ) )
& ( ( inf_inf_set_variable @ ( static_FVF @ X288 ) @ X68 )
= bot_bot_set_variable ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PR49A0usTM/E---3.1_2147565.p',fact_139_usubstappf__pred__conv) ).
thf(fact_130_option_Osel,axiom,
! [X112: fml] :
( ( the_fml @ ( some_fml @ X112 ) )
= X112 ),
file('/export/starexec/sandbox2/tmp/tmp.PR49A0usTM/E---3.1_2147565.p',fact_130_option_Osel) ).
thf(fact_1_Pred_Oprems_I2_J,axiom,
( ( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ theta ) )
!= none_fml ),
file('/export/starexec/sandbox2/tmp/tmp.PR49A0usTM/E---3.1_2147565.p',fact_1_Pred_Oprems_I2_J) ).
thf(c_0_6,plain,
~ ( ( ( inf_inf_set_variable
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ sigma
@ p ) ) )
@ va )
!= bot_bot_set_variable )
=> ( none_fml
= ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ sigma
@ p ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_8__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_092_060close_062])]) ).
thf(c_0_7,plain,
( inf_inf_set_variable
= ( ^ [Z0: set_variable,Z1: set_variable] : ( inf_inf_set_variable @ Z1 @ Z0 ) ) ),
inference(fof_simplification,[status(thm)],[fact_79_inf__commute]) ).
thf(c_0_8,negated_conjecture,
( ( produc1250175341on_fml
@ ^ [X23: char > option_trm] :
( produc1615133358on_fml
@ ^ [X24: char > option_trm] :
( produc1420172399on_fml
@ ^ [X25: char > option_fml,X26: char > option_game] : X25 ) )
@ sigma
@ p )
!= none_fml ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_9,plain,
( ( ( inf_inf_set_variable
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ sigma
@ p ) ) )
@ va )
!= bot_bot_set_variable )
& ( none_fml
!= ( uSubst516392804stappf @ ( uSubst1408967625substt @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ bot_bot_set_variable
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ sigma
@ p ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).
thf(c_0_10,plain,
( inf_inf_set_variable
= ( ^ [Z0: set_variable,Z1: set_variable] : ( inf_inf_set_variable @ Z1 @ Z0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X65: produc1418842292n_game,X68: set_variable,X66: char,X69: trm] :
( ( ( uSubst516392804stappf @ X65 @ X68 @ ( pred @ X66 @ X69 ) )
!= none_fml )
=> ( ( ( uSubst516392818stappt @ X65 @ X68 @ X69 )
!= none_trm )
& ( ( ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ X65
@ X66 )
= none_fml )
| ? [X288: fml] :
( ( ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ X65
@ X66 )
= ( some_fml @ X288 ) )
& ( ( inf_inf_set_variable @ ( static_FVF @ X288 ) @ X68 )
= bot_bot_set_variable ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_139_usubstappf__pred__conv])]) ).
thf(c_0_12,negated_conjecture,
( ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ sigma
@ p )
!= none_fml ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_8])]) ).
thf(c_0_13,plain,
( ( inf_inf_set_variable
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ sigma
@ p ) ) )
@ va )
!= bot_bot_set_variable ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,plain,
! [X92: set_variable,X68: set_variable] :
( ( inf_inf_set_variable @ X68 @ X92 )
= ( inf_inf_set_variable @ X92 @ X68 ) ),
inference(arg_cong,[status(thm)],[c_0_10]) ).
thf(c_0_15,plain,
! [X1780: produc1418842292n_game,X1781: set_variable,X1782: char,X1783: trm] :
( ( ( ( uSubst516392818stappt @ X1780 @ X1781 @ X1783 )
!= none_trm )
| ( ( uSubst516392804stappf @ X1780 @ X1781 @ ( pred @ X1782 @ X1783 ) )
= none_fml ) )
& ( ( ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ X1780
@ X1782 )
= ( some_fml @ ( esk29_4 @ X1780 @ X1781 @ X1782 @ X1783 ) ) )
| ( ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ X1780
@ X1782 )
= none_fml )
| ( ( uSubst516392804stappf @ X1780 @ X1781 @ ( pred @ X1782 @ X1783 ) )
= none_fml ) )
& ( ( ( inf_inf_set_variable @ ( static_FVF @ ( esk29_4 @ X1780 @ X1781 @ X1782 @ X1783 ) ) @ X1781 )
= bot_bot_set_variable )
| ( ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ X1780
@ X1782 )
= none_fml )
| ( ( uSubst516392804stappf @ X1780 @ X1781 @ ( pred @ X1782 @ X1783 ) )
= none_fml ) ) ),
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_11])])])])]) ).
thf(c_0_16,plain,
! [X1828: fml] :
( ( the_fml @ ( some_fml @ X1828 ) )
= X1828 ),
inference(variable_rename,[status(thm)],[fact_130_option_Osel]) ).
thf(c_0_17,negated_conjecture,
( ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ sigma
@ p )
!= none_fml ),
inference(fof_nnf,[status(thm)],[c_0_12]) ).
thf(c_0_18,plain,
( ( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ theta ) )
!= none_fml ),
inference(fof_simplification,[status(thm)],[fact_1_Pred_Oprems_I2_J]) ).
thf(c_0_19,plain,
( ( inf_inf_set_variable @ va
@ ( static_FVF
@ ( the_fml
@ ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ sigma
@ p ) ) ) )
!= bot_bot_set_variable ),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_20,plain,
! [X5: produc1418842292n_game,X6: char,X68: set_variable,X69: trm] :
( ( ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ X5
@ X6 )
= ( some_fml @ ( esk29_4 @ X5 @ X68 @ X6 @ X69 ) ) )
| ( ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ X5
@ X6 )
= none_fml )
| ( ( uSubst516392804stappf @ X5 @ X68 @ ( pred @ X6 @ X69 ) )
= none_fml ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_21,plain,
! [X27: fml] :
( ( the_fml @ ( some_fml @ X27 ) )
= X27 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_22,negated_conjecture,
( ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ sigma
@ p )
!= none_fml ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_23,plain,
! [X5: produc1418842292n_game,X6: char,X68: set_variable,X69: trm] :
( ( ( inf_inf_set_variable @ ( static_FVF @ ( esk29_4 @ X5 @ X68 @ X6 @ X69 ) ) @ X68 )
= bot_bot_set_variable )
| ( ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ X5
@ X6 )
= none_fml )
| ( ( uSubst516392804stappf @ X5 @ X68 @ ( pred @ X6 @ X69 ) )
= none_fml ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_24,plain,
( ( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ theta ) )
!= none_fml ),
inference(fof_nnf,[status(thm)],[c_0_18]) ).
thf(c_0_25,plain,
! [X68: set_variable,X69: trm] :
( ( ( uSubst516392804stappf @ sigma @ X68 @ ( pred @ p @ X69 ) )
= none_fml )
| ( ( inf_inf_set_variable @ va @ ( static_FVF @ ( esk29_4 @ sigma @ X68 @ p @ X69 ) ) )
!= bot_bot_set_variable ) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]) ).
thf(c_0_26,plain,
! [X5: produc1418842292n_game,X6: char,X68: set_variable,X69: trm] :
( ( ( inf_inf_set_variable @ X68 @ ( static_FVF @ ( esk29_4 @ X5 @ X68 @ X6 @ X69 ) ) )
= bot_bot_set_variable )
| ( ( produc1250175341on_fml
@ ^ [Z0: char > option_trm] :
( produc1615133358on_fml
@ ^ [Z1: char > option_trm] :
( produc1420172399on_fml
@ ^ [Z2: char > option_fml,Z3: char > option_game] : Z2 ) )
@ X5
@ X6 )
= none_fml )
| ( ( uSubst516392804stappf @ X5 @ X68 @ ( pred @ X6 @ X69 ) )
= none_fml ) ),
inference(rw,[status(thm)],[c_0_23,c_0_14]) ).
thf(c_0_27,plain,
( ( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ theta ) )
!= none_fml ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_28,plain,
! [X69: trm] :
( ( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ X69 ) )
= none_fml ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_22]) ).
thf(c_0_29,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP203^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n005.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 20:11:00 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.22/0.29 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.PR49A0usTM/E---3.1_2147565.p
% 162.30/53.59 % Version: 3.5.1-ho
% 162.30/53.59 % Preprocessing class: HSLMSMSMSSLNHHA.
% 162.30/53.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 162.30/53.59 % Starting new_bool_8 with 1500s (5) cores
% 162.30/53.59 % Starting full_lambda_4 with 300s (1) cores
% 162.30/53.59 % Starting sh5l with 300s (1) cores
% 162.30/53.59 % Starting ehoh_best8_lambda with 300s (1) cores
% 162.30/53.59 % new_bool_8 with pid 2147578 completed with status 9
% 162.30/53.59 % sh5l with pid 2147580 completed with status 0
% 162.30/53.59 % Result found by sh5l
% 162.30/53.59 % Preprocessing class: HSLMSMSMSSLNHHA.
% 162.30/53.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 162.30/53.59 % Starting new_bool_8 with 1500s (5) cores
% 162.30/53.59 % Starting full_lambda_4 with 300s (1) cores
% 162.30/53.59 % Starting sh5l with 300s (1) cores
% 162.30/53.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 162.30/53.59 % SinE strategy is gf500_gu_R04_F100_L20000
% 162.30/53.59 % Search class: HGHSM-SMLM31-DHHFFSBN
% 162.30/53.59 % partial match(1): HGHSM-SMLM31-DHSFFSBN
% 162.30/53.59 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 162.30/53.59 % Starting SubtermCWHack with 31s (1) cores
% 162.30/53.59 % SubtermCWHack with pid 2147600 completed with status 8
% 162.30/53.59 % Starting new_ho_10 with 181s (1) cores
% 162.30/53.59 % new_ho_10 with pid 2148373 completed with status 0
% 162.30/53.59 % Result found by new_ho_10
% 162.30/53.59 % Preprocessing class: HSLMSMSMSSLNHHA.
% 162.30/53.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 162.30/53.59 % Starting new_bool_8 with 1500s (5) cores
% 162.30/53.59 % Starting full_lambda_4 with 300s (1) cores
% 162.30/53.59 % Starting sh5l with 300s (1) cores
% 162.30/53.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 162.30/53.59 % SinE strategy is gf500_gu_R04_F100_L20000
% 162.30/53.59 % Search class: HGHSM-SMLM31-DHHFFSBN
% 162.30/53.59 % partial match(1): HGHSM-SMLM31-DHSFFSBN
% 162.30/53.59 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 162.30/53.59 % Starting SubtermCWHack with 31s (1) cores
% 162.30/53.59 % SubtermCWHack with pid 2147600 completed with status 8
% 162.30/53.59 % Starting new_ho_10 with 181s (1) cores
% 162.30/53.59 % Preprocessing time : 0.200 s
% 162.30/53.59 % Presaturation interreduction done
% 162.30/53.59
% 162.30/53.59 % Proof found!
% 162.30/53.59 % SZS status Theorem
% 162.30/53.59 % SZS output start CNFRefutation
% See solution above
% 162.30/53.59 % Parsed axioms : 501
% 162.30/53.59 % Removed by relevancy pruning/SinE : 195
% 162.30/53.59 % Initial clauses : 4402
% 162.30/53.59 % Removed in clause preprocessing : 149
% 162.30/53.59 % Initial clauses in saturation : 4253
% 162.30/53.59 % Processed clauses : 10750
% 162.30/53.59 % ...of these trivial : 52
% 162.30/53.59 % ...subsumed : 1619
% 162.30/53.59 % ...remaining for further processing : 9079
% 162.30/53.59 % Other redundant clauses eliminated : 11463
% 162.30/53.59 % Clauses deleted for lack of memory : 0
% 162.30/53.59 % Backward-subsumed : 56
% 162.30/53.59 % Backward-rewritten : 27
% 162.30/53.59 % Generated clauses : 67569
% 162.30/53.59 % ...of the previous two non-redundant : 55593
% 162.30/53.59 % ...aggressively subsumed : 0
% 162.30/53.59 % Contextual simplify-reflections : 24
% 162.30/53.59 % Paramodulations : 55696
% 162.30/53.59 % Factorizations : 18
% 162.30/53.59 % NegExts : 27
% 162.30/53.59 % Equation resolutions : 11502
% 162.30/53.59 % Disequality decompositions : 0
% 162.30/53.59 % Total rewrite steps : 6036
% 162.30/53.59 % ...of those cached : 5649
% 162.30/53.59 % Propositional unsat checks : 0
% 162.30/53.59 % Propositional check models : 0
% 162.30/53.59 % Propositional check unsatisfiable : 0
% 162.30/53.59 % Propositional clauses : 0
% 162.30/53.59 % Propositional clauses after purity: 0
% 162.30/53.59 % Propositional unsat core size : 0
% 162.30/53.59 % Propositional preprocessing time : 0.000
% 162.30/53.59 % Propositional encoding time : 0.000
% 162.30/53.59 % Propositional solver time : 0.000
% 162.30/53.59 % Success case prop preproc time : 0.000
% 162.30/53.59 % Success case prop encoding time : 0.000
% 162.30/53.59 % Success case prop solver time : 0.000
% 162.30/53.59 % Current number of processed clauses : 2593
% 162.30/53.59 % Positive orientable unit clauses : 195
% 162.30/53.59 % Positive unorientable unit clauses: 2
% 162.30/53.59 % Negative unit clauses : 41
% 162.30/53.59 % Non-unit-clauses : 2355
% 162.30/53.59 % Current number of unprocessed clauses: 53209
% 162.30/53.59 % ...number of literals in the above : 569368
% 162.30/53.59 % Current number of archived formulas : 0
% 162.30/53.59 % Current number of archived clauses : 4242
% 162.30/53.59 % Clause-clause subsumption calls (NU) : 12539692
% 162.30/53.59 % Rec. Clause-clause subsumption calls : 62736
% 162.30/53.59 % Non-unit clause-clause subsumptions : 1441
% 162.30/53.59 % Unit Clause-clause subsumption calls : 7984
% 162.30/53.59 % Rewrite failures with RHS unbound : 0
% 162.30/53.59 % BW rewrite match attempts : 475
% 162.30/53.59 % BW rewrite match successes : 36
% 162.30/53.59 % Condensation attempts : 10750
% 162.30/53.59 % Condensation successes : 18
% 162.30/53.59 % Termbank termtop insertions : 11270494
% 162.30/53.59 % Search garbage collected termcells : 42447
% 162.30/53.59
% 162.30/53.59 % -------------------------------------------------
% 162.30/53.59 % User time : 52.938 s
% 162.30/53.59 % System time : 0.296 s
% 162.30/53.59 % Total time : 53.234 s
% 162.30/53.59 % Maximum resident set size: 16388 pages
% 162.30/53.59
% 162.30/53.59 % -------------------------------------------------
% 162.30/53.59 % User time : 55.506 s
% 162.30/53.59 % System time : 0.368 s
% 162.30/53.59 % Total time : 55.874 s
% 162.30/53.59 % Maximum resident set size: 5888 pages
% 162.30/53.59 % E exiting
%------------------------------------------------------------------------------