%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP109^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RCRSqttVT1 true
% Computer : n024.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 : Thu Oct 2 04:38:51 PM UTC 2025
% Result : Theorem 61.42s 9.44s
% Output : Refutation 61.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 19
% Syntax : Number of formulae : 37 ( 37 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 36 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 586 ( 4 ~; 0 |; 0 &; 582 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 5 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 4 con; 0-2 aty)
% Number of variables : 51 ( 20 ^; 31 !; 0 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(real_type,type,
real: $tType ).
thf(a_type,type,
a: $tType ).
thf(set_a_type,type,
set_a: $tType ).
thf(extended_ereal_type,type,
extended_ereal: $tType ).
thf(f_type,type,
f: b > extended_ereal ).
thf(i_type,type,
i: a ).
thf(y_type,type,
y: a > b ).
thf(minus_minus_real_type,type,
minus_minus_real: real > real > real ).
thf(plus_plus_b_type,type,
plus_plus_b: b > b > b ).
thf(inverse_inverse_real_type,type,
inverse_inverse_real: real > real ).
thf(sa_type,type,
sa: set_a ).
thf('#l_lift5059_type',type,
'#l_lift5059': a > b ).
thf(groups1199149371um_a_b_type,type,
groups1199149371um_a_b: ( a > b ) > set_a > b ).
thf('#l_lift5067_type',type,
'#l_lift5067': a > b ).
thf(aa_type,type,
aa: a > real ).
thf(groups1862963056a_real_type,type,
groups1862963056a_real: ( a > real ) > set_a > real ).
thf(divide_divide_real_type,type,
divide_divide_real: real > real > real ).
thf(one_one_real_type,type,
one_one_real: real ).
thf('#l_lift5060_type',type,
'#l_lift5060': a > b ).
thf(times_times_real_type,type,
times_times_real: real > real > real ).
thf(real_V1035702896aleR_b_type,type,
real_V1035702896aleR_b: real > b > b ).
thf(fact_35_scale__left__commute,axiom,
! [A: real,B: real,X2: b] :
( ( real_V1035702896aleR_b @ A @ ( real_V1035702896aleR_b @ B @ X2 ) )
= ( real_V1035702896aleR_b @ B @ ( real_V1035702896aleR_b @ A @ X2 ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: real,X1: real,X2: b] :
( ( real_V1035702896aleR_b @ X1 @ ( real_V1035702896aleR_b @ X0 @ X2 ) )
= ( real_V1035702896aleR_b @ X0 @ ( real_V1035702896aleR_b @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_35_scale__left__commute]) ).
thf(fact_15_scaleR__one,axiom,
! [X2: b] :
( ( real_V1035702896aleR_b @ one_one_real @ X2 )
= X2 ) ).
thf(zip_derived_cl13,plain,
! [X0: b] :
( ( real_V1035702896aleR_b @ one_one_real @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_15_scaleR__one]) ).
thf(fact_2__092_060open_062_I_092_060Sum_062x_092_060in_062s_O_Aa_Ax_A_K_092_060_094sub_062R_Ay_Ax_A_P_092_060_094sub_062R_A_I1_A_N_Aa_Ai_J_J_A_061_A_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_P_092_060_094sub_062R_A_I1_A_N_Aa_Ai_J_092_060close_062,axiom,
( ( groups1199149371um_a_b
@ ^ [X: a] : ( real_V1035702896aleR_b @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) @ ( real_V1035702896aleR_b @ ( aa @ X ) @ ( y @ X ) ) )
@ sa )
= ( real_V1035702896aleR_b @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) )
@ ( groups1199149371um_a_b
@ ^ [J: a] : ( real_V1035702896aleR_b @ ( aa @ J ) @ ( y @ J ) )
@ sa ) ) ) ).
thf(zip_derived_cl2,plain,
( ( groups1199149371um_a_b
@ ^ [Y0: a] : ( real_V1035702896aleR_b @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) @ ( real_V1035702896aleR_b @ ( aa @ Y0 ) @ ( y @ Y0 ) ) )
@ sa )
= ( real_V1035702896aleR_b @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) )
@ ( groups1199149371um_a_b
@ ^ [Y0: a] : ( real_V1035702896aleR_b @ ( aa @ Y0 ) @ ( y @ Y0 ) )
@ sa ) ) ),
inference(cnf,[status(esa)],[fact_2__092_060open_062_I_092_060Sum_062x_092_060in_062s_O_Aa_Ax_A_K_092_060_094sub_062R_Ay_Ax_A_P_092_060_094sub_062R_A_I1_A_N_Aa_Ai_J_J_A_061_A_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_P_092_060_094sub_062R_A_I1_A_N_Aa_Ai_J_092_060close_062]) ).
thf(zip_derived_cl2_001,plain,
( ( groups1199149371um_a_b
@ ^ [Y0: a] : ( real_V1035702896aleR_b @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) @ ( real_V1035702896aleR_b @ ( aa @ Y0 ) @ ( y @ Y0 ) ) )
@ sa )
= ( real_V1035702896aleR_b @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) )
@ ( groups1199149371um_a_b
@ ^ [Y0: a] : ( real_V1035702896aleR_b @ ( aa @ Y0 ) @ ( y @ Y0 ) )
@ sa ) ) ),
inference(cnf,[status(esa)],[fact_2__092_060open_062_I_092_060Sum_062x_092_060in_062s_O_Aa_Ax_A_K_092_060_094sub_062R_Ay_Ax_A_P_092_060_094sub_062R_A_I1_A_N_Aa_Ai_J_J_A_061_A_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_P_092_060_094sub_062R_A_I1_A_N_Aa_Ai_J_092_060close_062]) ).
thf(zip_derived_cl6643,plain,
! [X2: a] :
( ( '#l_lift5060' @ X2 )
= ( real_V1035702896aleR_b @ ( aa @ X2 ) @ ( y @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl2_002,plain,
( ( groups1199149371um_a_b
@ ^ [Y0: a] : ( real_V1035702896aleR_b @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) @ ( real_V1035702896aleR_b @ ( aa @ Y0 ) @ ( y @ Y0 ) ) )
@ sa )
= ( real_V1035702896aleR_b @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) )
@ ( groups1199149371um_a_b
@ ^ [Y0: a] : ( real_V1035702896aleR_b @ ( aa @ Y0 ) @ ( y @ Y0 ) )
@ sa ) ) ),
inference(cnf,[status(esa)],[fact_2__092_060open_062_I_092_060Sum_062x_092_060in_062s_O_Aa_Ax_A_K_092_060_094sub_062R_Ay_Ax_A_P_092_060_094sub_062R_A_I1_A_N_Aa_Ai_J_J_A_061_A_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_P_092_060_094sub_062R_A_I1_A_N_Aa_Ai_J_092_060close_062]) ).
thf(zip_derived_cl6642,plain,
! [X1: a] :
( ( '#l_lift5059' @ X1 )
= ( real_V1035702896aleR_b @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) @ ( real_V1035702896aleR_b @ ( aa @ X1 ) @ ( y @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6644,plain,
( ( groups1199149371um_a_b @ '#l_lift5059' @ sa )
= ( real_V1035702896aleR_b @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) @ ( groups1199149371um_a_b @ '#l_lift5060' @ sa ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl2,zip_derived_cl6643,zip_derived_cl6642]) ).
thf(fact_148_divide__inverse,axiom,
! [A3: real,B4: real] :
( ( divide_divide_real @ A3 @ B4 )
= ( times_times_real @ A3 @ ( inverse_inverse_real @ B4 ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: real,X1: real] :
( ( divide_divide_real @ X0 @ X1 )
= ( times_times_real @ X0 @ ( inverse_inverse_real @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_148_divide__inverse]) ).
thf(fact_17__092_060open_062sum_Aa_As_A_061_A1_A_N_Aa_Ai_092_060close_062,axiom,
( ( groups1862963056a_real @ aa @ sa )
= ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) ).
thf(zip_derived_cl14,plain,
( ( groups1862963056a_real @ aa @ sa )
= ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ),
inference(cnf,[status(esa)],[fact_17__092_060open_062sum_Aa_As_A_061_A1_A_N_Aa_Ai_092_060close_062]) ).
thf(fact_73__092_060open_062sum_Aa_As_A_P_A_I1_A_N_Aa_Ai_J_A_061_A1_092_060close_062,axiom,
( ( divide_divide_real @ ( groups1862963056a_real @ aa @ sa ) @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) )
= one_one_real ) ).
thf(zip_derived_cl38,plain,
( ( divide_divide_real @ ( groups1862963056a_real @ aa @ sa ) @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) )
= one_one_real ),
inference(cnf,[status(esa)],[fact_73__092_060open_062sum_Aa_As_A_P_A_I1_A_N_Aa_Ai_J_A_061_A1_092_060close_062]) ).
thf(zip_derived_cl6642_003,plain,
! [X1: a] :
( ( '#l_lift5059' @ X1 )
= ( real_V1035702896aleR_b @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) @ ( real_V1035702896aleR_b @ ( aa @ X1 ) @ ( y @ X1 ) ) ) ),
define([status(thm)]) ).
thf(fact_13_scaleR__scaleR,axiom,
! [A: real,B: real,X2: b] :
( ( real_V1035702896aleR_b @ A @ ( real_V1035702896aleR_b @ B @ X2 ) )
= ( real_V1035702896aleR_b @ ( times_times_real @ A @ B ) @ X2 ) ) ).
thf(zip_derived_cl12,plain,
! [X0: real,X1: real,X2: b] :
( ( real_V1035702896aleR_b @ X0 @ ( real_V1035702896aleR_b @ X1 @ X2 ) )
= ( real_V1035702896aleR_b @ ( times_times_real @ X0 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[fact_13_scaleR__scaleR]) ).
thf(conj_0,conjecture,
( ( f
@ ( plus_plus_b
@ ( real_V1035702896aleR_b @ ( times_times_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) )
@ ( groups1199149371um_a_b
@ ^ [J: a] : ( real_V1035702896aleR_b @ ( aa @ J ) @ ( y @ J ) )
@ sa ) )
@ ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) )
= ( f
@ ( plus_plus_b
@ ( real_V1035702896aleR_b @ ( minus_minus_real @ one_one_real @ ( aa @ i ) )
@ ( groups1199149371um_a_b
@ ^ [J: a] : ( real_V1035702896aleR_b @ ( times_times_real @ ( aa @ J ) @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) ) @ ( y @ J ) )
@ sa ) )
@ ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( f
@ ( plus_plus_b
@ ( real_V1035702896aleR_b @ ( times_times_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) )
@ ( groups1199149371um_a_b
@ ^ [J: a] : ( real_V1035702896aleR_b @ ( aa @ J ) @ ( y @ J ) )
@ sa ) )
@ ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) )
!= ( f
@ ( plus_plus_b
@ ( real_V1035702896aleR_b @ ( minus_minus_real @ one_one_real @ ( aa @ i ) )
@ ( groups1199149371um_a_b
@ ^ [J: a] : ( real_V1035702896aleR_b @ ( times_times_real @ ( aa @ J ) @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) ) @ ( y @ J ) )
@ sa ) )
@ ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl138,plain,
( ( f
@ ( plus_plus_b
@ ( real_V1035702896aleR_b @ ( times_times_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) )
@ ( groups1199149371um_a_b
@ ^ [Y0: a] : ( real_V1035702896aleR_b @ ( aa @ Y0 ) @ ( y @ Y0 ) )
@ sa ) )
@ ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) )
!= ( f
@ ( plus_plus_b
@ ( real_V1035702896aleR_b @ ( minus_minus_real @ one_one_real @ ( aa @ i ) )
@ ( groups1199149371um_a_b
@ ^ [Y0: a] : ( real_V1035702896aleR_b @ ( times_times_real @ ( aa @ Y0 ) @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) ) @ ( y @ Y0 ) )
@ sa ) )
@ ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6661,plain,
! [X1: a] :
( ( '#l_lift5067' @ X1 )
= ( real_V1035702896aleR_b @ ( times_times_real @ ( aa @ X1 ) @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) ) @ ( y @ X1 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl138_004,plain,
( ( f
@ ( plus_plus_b
@ ( real_V1035702896aleR_b @ ( times_times_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) )
@ ( groups1199149371um_a_b
@ ^ [Y0: a] : ( real_V1035702896aleR_b @ ( aa @ Y0 ) @ ( y @ Y0 ) )
@ sa ) )
@ ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) )
!= ( f
@ ( plus_plus_b
@ ( real_V1035702896aleR_b @ ( minus_minus_real @ one_one_real @ ( aa @ i ) )
@ ( groups1199149371um_a_b
@ ^ [Y0: a] : ( real_V1035702896aleR_b @ ( times_times_real @ ( aa @ Y0 ) @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) ) @ ( y @ Y0 ) )
@ sa ) )
@ ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6643_005,plain,
! [X2: a] :
( ( '#l_lift5060' @ X2 )
= ( real_V1035702896aleR_b @ ( aa @ X2 ) @ ( y @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6661_006,plain,
! [X1: a] :
( ( '#l_lift5067' @ X1 )
= ( real_V1035702896aleR_b @ ( times_times_real @ ( aa @ X1 ) @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) ) @ ( y @ X1 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6662,plain,
( ( f @ ( plus_plus_b @ ( real_V1035702896aleR_b @ ( times_times_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) ) @ ( groups1199149371um_a_b @ '#l_lift5060' @ sa ) ) @ ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) )
!= ( f @ ( plus_plus_b @ ( real_V1035702896aleR_b @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) @ ( groups1199149371um_a_b @ '#l_lift5067' @ sa ) ) @ ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl138,zip_derived_cl6643,zip_derived_cl6661]) ).
thf(fact_5__092_060open_062f_A_I_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_L_Aa_Ai_A_K_092_060_094sub_062R_Ay_Ai_J_A_061_Af_A_I_I_I1_A_N_Aa_Ai_J_A_K_Ainverse_A_I1_A_N_Aa_Ai_J_J_A_K_092_060_094sub_062R_A_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_L_Aa_Ai_A_K_092_060_094sub_062R_Ay_Ai_J_092_060close_062,axiom,
( ( f
@ ( plus_plus_b
@ ( groups1199149371um_a_b
@ ^ [J: a] : ( real_V1035702896aleR_b @ ( aa @ J ) @ ( y @ J ) )
@ sa )
@ ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) )
= ( f
@ ( plus_plus_b
@ ( real_V1035702896aleR_b @ ( times_times_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) )
@ ( groups1199149371um_a_b
@ ^ [J: a] : ( real_V1035702896aleR_b @ ( aa @ J ) @ ( y @ J ) )
@ sa ) )
@ ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
( ( f
@ ( plus_plus_b
@ ( groups1199149371um_a_b
@ ^ [Y0: a] : ( real_V1035702896aleR_b @ ( aa @ Y0 ) @ ( y @ Y0 ) )
@ sa )
@ ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) )
= ( f
@ ( plus_plus_b
@ ( real_V1035702896aleR_b @ ( times_times_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) )
@ ( groups1199149371um_a_b
@ ^ [Y0: a] : ( real_V1035702896aleR_b @ ( aa @ Y0 ) @ ( y @ Y0 ) )
@ sa ) )
@ ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) ) ),
inference(cnf,[status(esa)],[fact_5__092_060open_062f_A_I_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_L_Aa_Ai_A_K_092_060_094sub_062R_Ay_Ai_J_A_061_Af_A_I_I_I1_A_N_Aa_Ai_J_A_K_Ainverse_A_I1_A_N_Aa_Ai_J_J_A_K_092_060_094sub_062R_A_I_092_060Sum_062j_092_060in_062s_O_Aa_Aj_A_K_092_060_094sub_062R_Ay_Aj_J_A_L_Aa_Ai_A_K_092_060_094sub_062R_Ay_Ai_J_092_060close_062]) ).
thf(zip_derived_cl6643_007,plain,
! [X2: a] :
( ( '#l_lift5060' @ X2 )
= ( real_V1035702896aleR_b @ ( aa @ X2 ) @ ( y @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6643_008,plain,
! [X2: a] :
( ( '#l_lift5060' @ X2 )
= ( real_V1035702896aleR_b @ ( aa @ X2 ) @ ( y @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6645,plain,
( ( f @ ( plus_plus_b @ ( groups1199149371um_a_b @ '#l_lift5060' @ sa ) @ ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) )
= ( f @ ( plus_plus_b @ ( real_V1035702896aleR_b @ ( times_times_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) @ ( inverse_inverse_real @ ( minus_minus_real @ one_one_real @ ( aa @ i ) ) ) ) @ ( groups1199149371um_a_b @ '#l_lift5060' @ sa ) ) @ ( real_V1035702896aleR_b @ ( aa @ i ) @ ( y @ i ) ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl5,zip_derived_cl6643,zip_derived_cl6643]) ).
thf(fact_297_add_Ocommute,axiom,
! [A3: b,B4: b] :
( ( plus_plus_b @ A3 @ B4 )
= ( plus_plus_b @ B4 @ A3 ) ) ).
thf(zip_derived_cl94,plain,
! [X0: b,X1: b] :
( ( plus_plus_b @ X1 @ X0 )
= ( plus_plus_b @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_297_add_Ocommute]) ).
thf(zip_derived_cl6643_009,plain,
! [X2: a] :
( ( '#l_lift5060' @ X2 )
= ( real_V1035702896aleR_b @ ( aa @ X2 ) @ ( y @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6666,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl24,zip_derived_cl13,zip_derived_cl6644,zip_derived_cl41,zip_derived_cl14,zip_derived_cl38,zip_derived_cl6642,zip_derived_cl12,zip_derived_cl6661,zip_derived_cl6662,zip_derived_cl6645,zip_derived_cl94,zip_derived_cl6643]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : ITP109^1 : TPTP v9.2.0. Released v7.5.0.
% 0.08/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RCRSqttVT1 true
% 0.10/0.32 % Computer : n024.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 15:34:23 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.33 % Python version: Python 3.6.8
% 0.10/0.33 % Running in HO mode
% 0.61/0.62 % Total configuration time : 828
% 0.61/0.62 % Estimated wc time : 1656
% 0.61/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.77/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.26/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.26/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.26/0.71 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.26/0.72 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.26/0.73 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.26/0.73 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.37/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.37/0.79 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 61.42/9.44 % Solved by lams/40_c_ic.sh.
% 61.42/9.44 % done 450 iterations in 8.673s
% 61.42/9.44 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 61.42/9.44 % SZS output start Refutation
% See solution above
% 61.42/9.44
% 61.42/9.44
% 61.42/9.44 % Terminating...
% 62.19/9.64 % Runner terminated.
% 62.19/9.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------