TSTP Solution File: ITP062^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP062^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WIxLuDWMqH true
% Computer : n021.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 Aug 31 05:21:56 EDT 2023
% Result : Theorem 89.65s 12.20s
% Output : Refutation 89.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 37
% Syntax : Number of formulae : 108 ( 51 unt; 24 typ; 0 def)
% Number of atoms : 167 ( 58 equ; 24 cnn)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 1368 ( 10 ~; 3 |; 0 &;1281 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 21 usr; 11 con; 0-6 aty)
% ( 61 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 132 ( 21 ^; 99 !; 0 ?; 132 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(real_type,type,
real: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(num_type,type,
num: $tType ).
thf(minus_minus_real_type,type,
minus_minus_real: real > real > real ).
thf(bit0_type,type,
bit0: num > num ).
thf(ord_less_eq_real_type,type,
ord_less_eq_real: real > real > $o ).
thf(c_type,type,
c: nat > real > real ).
thf(abs_abs_real_type,type,
abs_abs_real: real > real ).
thf(one_type,type,
one: num ).
thf(one_one_real_type,type,
one_one_real: real ).
thf(plus_plus_real_type,type,
plus_plus_real: real > real > real ).
thf(d_type,type,
d: nat > real > real ).
thf(times_times_real_type,type,
times_times_real: real > real > real ).
thf(s_type,type,
s: real ).
thf(genClo1144207539le_rho_type,type,
genClo1144207539le_rho: real ).
thf(numeral_numeral_real_type,type,
numeral_numeral_real: num > real ).
thf(t_type,type,
t: real ).
thf(p_type,type,
p: nat ).
thf(q_type,type,
q: nat ).
thf(s_comb_type,type,
'#S':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).
thf(c_comb_type,type,
'#C':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).
thf(b_comb_type,type,
'#B':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).
thf(k_comb_type,type,
'#K':
!>[A: $tType,B: $tType] : ( B > A > B ) ).
thf(i_comb_type,type,
'#I':
!>[A: $tType] : ( A > A ) ).
thf(fact_5_Eq3,axiom,
ord_less_eq_real @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( minus_minus_real @ one_one_real @ genClo1144207539le_rho ) ) ) ).
thf(zip_derived_cl4,plain,
ord_less_eq_real @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( minus_minus_real @ one_one_real @ genClo1144207539le_rho ) ) ),
inference(cnf,[status(esa)],[fact_5_Eq3]) ).
thf(fact_4_Eq4,axiom,
( ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( minus_minus_real @ one_one_real @ genClo1144207539le_rho ) ) )
= ( times_times_real @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ) ).
thf(zip_derived_cl3,plain,
( ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( minus_minus_real @ one_one_real @ genClo1144207539le_rho ) ) )
= ( times_times_real @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
inference(cnf,[status(esa)],[fact_4_Eq4]) ).
thf(zip_derived_cl656,plain,
ord_less_eq_real @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( times_times_real @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).
thf(fact_224_mult__2,axiom,
! [Z: real] :
( ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ Z )
= ( plus_plus_real @ Z @ Z ) ) ).
thf(zip_derived_cl404,plain,
( !!
@ ^ [Y0: real] :
( ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ Y0 )
= ( plus_plus_real @ Y0 @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_224_mult__2]) ).
thf(zip_derived_cl405,plain,
!! @ ( '#S' @ ( '#B' @ (=) @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) ) @ ( '#S' @ plus_plus_real @ '#I' ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl404]) ).
thf(zip_derived_cl709,plain,
! [X2: real] :
( ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ X2 )
= ( plus_plus_real @ X2 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl405]) ).
thf(zip_derived_cl710,plain,
! [X2: real] :
( ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ X2 )
= ( plus_plus_real @ X2 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl709]) ).
thf(zip_derived_cl713,plain,
ord_less_eq_real @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( times_times_real @ ( plus_plus_real @ genClo1144207539le_rho @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ),
inference(demod,[status(thm)],[zip_derived_cl656,zip_derived_cl710]) ).
thf(fact_9_Eq2,axiom,
ord_less_eq_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ).
thf(zip_derived_cl8,plain,
ord_less_eq_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ),
inference(cnf,[status(esa)],[fact_9_Eq2]) ).
thf(fact_147_diff__diff__add,axiom,
! [A: real,B: real,C: real] :
( ( minus_minus_real @ ( minus_minus_real @ A @ B ) @ C )
= ( minus_minus_real @ A @ ( plus_plus_real @ B @ C ) ) ) ).
thf(zip_derived_cl255,plain,
( !!
@ ^ [Y0: real] :
( !!
@ ^ [Y1: real] :
( !!
@ ^ [Y2: real] :
( ( minus_minus_real @ ( minus_minus_real @ Y0 @ Y1 ) @ Y2 )
= ( minus_minus_real @ Y0 @ ( plus_plus_real @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_147_diff__diff__add]) ).
thf(zip_derived_cl256,plain,
!! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=) ) ) @ ( '#B' @ ( '#B' @ minus_minus_real ) @ minus_minus_real ) ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#B' @ minus_minus_real ) ) @ plus_plus_real ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl255]) ).
thf(zip_derived_cl1056,plain,
! [X2: real] : ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=) ) @ ( '#B' @ minus_minus_real @ ( minus_minus_real @ X2 ) ) ) ) @ ( '#B' @ ( '#B' @ ( minus_minus_real @ X2 ) ) @ plus_plus_real ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl256]) ).
thf(zip_derived_cl1057,plain,
! [X2: real,X4: real] : ( !! @ ( '#S' @ ( '#B' @ (=) @ ( minus_minus_real @ ( minus_minus_real @ X2 @ X4 ) ) ) @ ( '#B' @ ( minus_minus_real @ X2 ) @ ( plus_plus_real @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1058,plain,
! [X2: real,X4: real,X6: real] :
( ( minus_minus_real @ ( minus_minus_real @ X2 @ X4 ) @ X6 )
= ( minus_minus_real @ X2 @ ( plus_plus_real @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1057]) ).
thf(zip_derived_cl1059,plain,
! [X2: real,X4: real,X6: real] :
( ( minus_minus_real @ ( minus_minus_real @ X2 @ X4 ) @ X6 )
= ( minus_minus_real @ X2 @ ( plus_plus_real @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1058]) ).
thf(zip_derived_cl1061,plain,
ord_less_eq_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( plus_plus_real @ ( c @ p @ s ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ) @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl1059]) ).
thf(fact_152_add__diff__eq,axiom,
! [A: real,B: real,C: real] :
( ( plus_plus_real @ A @ ( minus_minus_real @ B @ C ) )
= ( minus_minus_real @ ( plus_plus_real @ A @ B ) @ C ) ) ).
thf(zip_derived_cl265,plain,
( !!
@ ^ [Y0: real] :
( !!
@ ^ [Y1: real] :
( !!
@ ^ [Y2: real] :
( ( plus_plus_real @ Y0 @ ( minus_minus_real @ Y1 @ Y2 ) )
= ( minus_minus_real @ ( plus_plus_real @ Y0 @ Y1 ) @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_152_add__diff__eq]) ).
thf(zip_derived_cl266,plain,
!! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#B' @ plus_plus_real ) ) @ minus_minus_real ) ) ) ) @ ( '#B' @ ( '#B' @ minus_minus_real ) @ plus_plus_real ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl265]) ).
thf(zip_derived_cl1094,plain,
! [X2: real] : ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=) ) @ ( '#B' @ ( '#B' @ ( plus_plus_real @ X2 ) ) @ minus_minus_real ) ) ) @ ( '#B' @ minus_minus_real @ ( plus_plus_real @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl266]) ).
thf(zip_derived_cl1095,plain,
! [X2: real,X4: real] : ( !! @ ( '#S' @ ( '#B' @ (=) @ ( '#B' @ ( plus_plus_real @ X2 ) @ ( minus_minus_real @ X4 ) ) ) @ ( minus_minus_real @ ( plus_plus_real @ X2 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1094]) ).
thf(zip_derived_cl1096,plain,
! [X2: real,X4: real,X6: real] :
( ( plus_plus_real @ X2 @ ( minus_minus_real @ X4 @ X6 ) )
= ( minus_minus_real @ ( plus_plus_real @ X2 @ X4 ) @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1095]) ).
thf(zip_derived_cl1097,plain,
! [X2: real,X4: real,X6: real] :
( ( plus_plus_real @ X2 @ ( minus_minus_real @ X4 @ X6 ) )
= ( minus_minus_real @ ( plus_plus_real @ X2 @ X4 ) @ X6 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1096]) ).
thf(zip_derived_cl1099,plain,
ord_less_eq_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( minus_minus_real @ ( plus_plus_real @ ( c @ p @ s ) @ ( d @ q @ t ) ) @ ( d @ q @ s ) ) ) @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1061,zip_derived_cl1097]) ).
thf(fact_151_diff__diff__eq2,axiom,
! [A: real,B: real,C: real] :
( ( minus_minus_real @ A @ ( minus_minus_real @ B @ C ) )
= ( minus_minus_real @ ( plus_plus_real @ A @ C ) @ B ) ) ).
thf(zip_derived_cl263,plain,
( !!
@ ^ [Y0: real] :
( !!
@ ^ [Y1: real] :
( !!
@ ^ [Y2: real] :
( ( minus_minus_real @ Y0 @ ( minus_minus_real @ Y1 @ Y2 ) )
= ( minus_minus_real @ ( plus_plus_real @ Y0 @ Y2 ) @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_151_diff__diff__eq2]) ).
thf(zip_derived_cl264,plain,
!! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#B' @ minus_minus_real ) ) @ minus_minus_real ) ) ) ) @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ minus_minus_real ) @ plus_plus_real ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl263]) ).
thf(zip_derived_cl1137,plain,
! [X2: real] : ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=) ) @ ( '#B' @ ( '#B' @ ( minus_minus_real @ X2 ) ) @ minus_minus_real ) ) ) @ ( '#C' @ ( '#B' @ minus_minus_real @ ( plus_plus_real @ X2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl264]) ).
thf(zip_derived_cl1138,plain,
! [X2: real,X4: real] : ( !! @ ( '#S' @ ( '#B' @ (=) @ ( '#B' @ ( minus_minus_real @ X2 ) @ ( minus_minus_real @ X4 ) ) ) @ ( '#C' @ ( '#B' @ minus_minus_real @ ( plus_plus_real @ X2 ) ) @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1137]) ).
thf(zip_derived_cl1139,plain,
! [X2: real,X4: real,X6: real] :
( ( minus_minus_real @ X2 @ ( minus_minus_real @ X4 @ X6 ) )
= ( minus_minus_real @ ( plus_plus_real @ X2 @ X6 ) @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1138]) ).
thf(zip_derived_cl1140,plain,
! [X2: real,X4: real,X6: real] :
( ( minus_minus_real @ X2 @ ( minus_minus_real @ X4 @ X6 ) )
= ( minus_minus_real @ ( plus_plus_real @ X2 @ X6 ) @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1139]) ).
thf(zip_derived_cl1144,plain,
ord_less_eq_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( minus_minus_real @ ( c @ p @ s ) @ ( minus_minus_real @ ( d @ q @ s ) @ ( d @ q @ t ) ) ) ) @ ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1099,zip_derived_cl1140]) ).
thf(zip_derived_cl3_001,plain,
( ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( minus_minus_real @ one_one_real @ genClo1144207539le_rho ) ) )
= ( times_times_real @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
inference(cnf,[status(esa)],[fact_4_Eq4]) ).
thf(zip_derived_cl710_002,plain,
! [X2: real] :
( ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ X2 )
= ( plus_plus_real @ X2 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl709]) ).
thf(zip_derived_cl711,plain,
( ( minus_minus_real @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( plus_plus_real @ one_one_real @ genClo1144207539le_rho ) ) @ ( times_times_real @ ( minus_minus_real @ t @ s ) @ ( minus_minus_real @ one_one_real @ genClo1144207539le_rho ) ) )
= ( times_times_real @ ( plus_plus_real @ genClo1144207539le_rho @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl710]) ).
thf(conj_0,conjecture,
ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ) @ ( times_times_real @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ) @ ( times_times_real @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl641,plain,
~ ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ) @ ( times_times_real @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_3_Eq1,axiom,
( ( abs_abs_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) )
= ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ) ).
thf(zip_derived_cl2,plain,
( ( abs_abs_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) )
= ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ),
inference(cnf,[status(esa)],[fact_3_Eq1]) ).
thf(zip_derived_cl643,plain,
~ ( ord_less_eq_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( times_times_real @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
inference(demod,[status(thm)],[zip_derived_cl641,zip_derived_cl2]) ).
thf(zip_derived_cl710_003,plain,
! [X2: real] :
( ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ X2 )
= ( plus_plus_real @ X2 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl709]) ).
thf(zip_derived_cl712,plain,
~ ( ord_less_eq_real @ ( minus_minus_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( c @ p @ s ) ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) @ ( times_times_real @ ( plus_plus_real @ genClo1144207539le_rho @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
inference(demod,[status(thm)],[zip_derived_cl643,zip_derived_cl710]) ).
thf(zip_derived_cl1059_004,plain,
! [X2: real,X4: real,X6: real] :
( ( minus_minus_real @ ( minus_minus_real @ X2 @ X4 ) @ X6 )
= ( minus_minus_real @ X2 @ ( plus_plus_real @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1058]) ).
thf(zip_derived_cl1062,plain,
~ ( ord_less_eq_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( plus_plus_real @ ( c @ p @ s ) @ ( minus_minus_real @ ( d @ q @ t ) @ ( d @ q @ s ) ) ) ) @ ( times_times_real @ ( plus_plus_real @ genClo1144207539le_rho @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
inference(demod,[status(thm)],[zip_derived_cl712,zip_derived_cl1059]) ).
thf(zip_derived_cl1097_005,plain,
! [X2: real,X4: real,X6: real] :
( ( plus_plus_real @ X2 @ ( minus_minus_real @ X4 @ X6 ) )
= ( minus_minus_real @ ( plus_plus_real @ X2 @ X4 ) @ X6 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1096]) ).
thf(zip_derived_cl1100,plain,
~ ( ord_less_eq_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( minus_minus_real @ ( plus_plus_real @ ( c @ p @ s ) @ ( d @ q @ t ) ) @ ( d @ q @ s ) ) ) @ ( times_times_real @ ( plus_plus_real @ genClo1144207539le_rho @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1062,zip_derived_cl1097]) ).
thf(zip_derived_cl1140_006,plain,
! [X2: real,X4: real,X6: real] :
( ( minus_minus_real @ X2 @ ( minus_minus_real @ X4 @ X6 ) )
= ( minus_minus_real @ ( plus_plus_real @ X2 @ X6 ) @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1139]) ).
thf(zip_derived_cl1145,plain,
~ ( ord_less_eq_real @ ( minus_minus_real @ ( c @ p @ t ) @ ( minus_minus_real @ ( c @ p @ s ) @ ( minus_minus_real @ ( d @ q @ s ) @ ( d @ q @ t ) ) ) ) @ ( times_times_real @ ( plus_plus_real @ genClo1144207539le_rho @ genClo1144207539le_rho ) @ ( minus_minus_real @ t @ s ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1100,zip_derived_cl1140]) ).
thf(fact_303_order_Otrans,axiom,
! [A: real,B: real,C: real] :
( ( ord_less_eq_real @ A @ B )
=> ( ( ord_less_eq_real @ B @ C )
=> ( ord_less_eq_real @ A @ C ) ) ) ).
thf(zip_derived_cl547,plain,
( !!
@ ^ [Y0: real] :
( !!
@ ^ [Y1: real] :
( !!
@ ^ [Y2: real] :
( ( ord_less_eq_real @ Y0 @ Y1 )
=> ( ( ord_less_eq_real @ Y1 @ Y2 )
=> ( ord_less_eq_real @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_303_order_Otrans]) ).
thf(zip_derived_cl548,plain,
!! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ (=>) ) @ ord_less_eq_real ) ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ord_less_eq_real ) ) ) @ ord_less_eq_real ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl547]) ).
thf(zip_derived_cl949,plain,
! [X2: real] : ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ (=>) @ ( ord_less_eq_real @ X2 ) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ord_less_eq_real ) ) @ ( ord_less_eq_real @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl548]) ).
thf(zip_derived_cl950,plain,
! [X2: real,X4: real] : ( !! @ ( '#B' @ ( (=>) @ ( ord_less_eq_real @ X2 @ X4 ) ) @ ( '#S' @ ( '#B' @ (=>) @ ( ord_less_eq_real @ X4 ) ) @ ( ord_less_eq_real @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl949]) ).
thf(zip_derived_cl951,plain,
! [X2: real,X4: real,X6: real] :
( ( ord_less_eq_real @ X2 @ X4 )
=> ( ( ord_less_eq_real @ X4 @ X6 )
=> ( ord_less_eq_real @ X2 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl950]) ).
thf(zip_derived_cl952,plain,
! [X2: real,X4: real,X6: real] :
( ~ ( ord_less_eq_real @ X2 @ X4 )
| ( ( ord_less_eq_real @ X4 @ X6 )
=> ( ord_less_eq_real @ X2 @ X6 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl951]) ).
thf(zip_derived_cl953,plain,
! [X2: real,X4: real,X6: real] :
( ~ ( ord_less_eq_real @ X4 @ X6 )
| ( ord_less_eq_real @ X2 @ X6 )
| ~ ( ord_less_eq_real @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl952]) ).
thf(fact_149_diff__add__eq__diff__diff__swap,axiom,
! [A: real,B: real,C: real] :
( ( minus_minus_real @ A @ ( plus_plus_real @ B @ C ) )
= ( minus_minus_real @ ( minus_minus_real @ A @ C ) @ B ) ) ).
thf(zip_derived_cl259,plain,
( !!
@ ^ [Y0: real] :
( !!
@ ^ [Y1: real] :
( !!
@ ^ [Y2: real] :
( ( minus_minus_real @ Y0 @ ( plus_plus_real @ Y1 @ Y2 ) )
= ( minus_minus_real @ ( minus_minus_real @ Y0 @ Y2 ) @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_149_diff__add__eq__diff__diff__swap]) ).
thf(zip_derived_cl260,plain,
!! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#B' @ minus_minus_real ) ) @ plus_plus_real ) ) ) ) @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ minus_minus_real ) @ minus_minus_real ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl259]) ).
thf(zip_derived_cl1133,plain,
! [X2: real] : ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=) ) @ ( '#B' @ ( '#B' @ ( minus_minus_real @ X2 ) ) @ plus_plus_real ) ) ) @ ( '#C' @ ( '#B' @ minus_minus_real @ ( minus_minus_real @ X2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl260]) ).
thf(zip_derived_cl1134,plain,
! [X2: real,X4: real] : ( !! @ ( '#S' @ ( '#B' @ (=) @ ( '#B' @ ( minus_minus_real @ X2 ) @ ( plus_plus_real @ X4 ) ) ) @ ( '#C' @ ( '#B' @ minus_minus_real @ ( minus_minus_real @ X2 ) ) @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1133]) ).
thf(zip_derived_cl1135,plain,
! [X2: real,X4: real,X6: real] :
( ( minus_minus_real @ X2 @ ( plus_plus_real @ X4 @ X6 ) )
= ( minus_minus_real @ ( minus_minus_real @ X2 @ X6 ) @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1134]) ).
thf(zip_derived_cl1136,plain,
! [X2: real,X4: real,X6: real] :
( ( minus_minus_real @ X2 @ ( plus_plus_real @ X4 @ X6 ) )
= ( minus_minus_real @ ( minus_minus_real @ X2 @ X6 ) @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1135]) ).
thf(fact_210_right__diff__distrib_H,axiom,
! [A: real,B: real,C: real] :
( ( times_times_real @ A @ ( minus_minus_real @ B @ C ) )
= ( minus_minus_real @ ( times_times_real @ A @ B ) @ ( times_times_real @ A @ C ) ) ) ).
thf(zip_derived_cl376,plain,
( !!
@ ^ [Y0: real] :
( !!
@ ^ [Y1: real] :
( !!
@ ^ [Y2: real] :
( ( times_times_real @ Y0 @ ( minus_minus_real @ Y1 @ Y2 ) )
= ( minus_minus_real @ ( times_times_real @ Y0 @ Y1 ) @ ( times_times_real @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_210_right__diff__distrib_H]) ).
thf(zip_derived_cl377,plain,
!! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#B' @ times_times_real ) ) @ minus_minus_real ) ) ) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ minus_minus_real ) @ times_times_real ) ) ) @ times_times_real ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl376]) ).
thf(zip_derived_cl1316,plain,
! [X2: real] : ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=) ) @ ( '#B' @ ( '#B' @ ( times_times_real @ X2 ) ) @ minus_minus_real ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ minus_minus_real @ ( times_times_real @ X2 ) ) ) @ ( times_times_real @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl377]) ).
thf(zip_derived_cl1317,plain,
! [X2: real,X4: real] : ( !! @ ( '#S' @ ( '#B' @ (=) @ ( '#B' @ ( times_times_real @ X2 ) @ ( minus_minus_real @ X4 ) ) ) @ ( '#B' @ ( minus_minus_real @ ( times_times_real @ X2 @ X4 ) ) @ ( times_times_real @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1316]) ).
thf(zip_derived_cl1318,plain,
! [X2: real,X4: real,X6: real] :
( ( times_times_real @ X2 @ ( minus_minus_real @ X4 @ X6 ) )
= ( minus_minus_real @ ( times_times_real @ X2 @ X4 ) @ ( times_times_real @ X2 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1317]) ).
thf(zip_derived_cl1319,plain,
! [X2: real,X4: real,X6: real] :
( ( times_times_real @ X2 @ ( minus_minus_real @ X4 @ X6 ) )
= ( minus_minus_real @ ( times_times_real @ X2 @ X4 ) @ ( times_times_real @ X2 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1318]) ).
thf(zip_derived_cl1140_007,plain,
! [X2: real,X4: real,X6: real] :
( ( minus_minus_real @ X2 @ ( minus_minus_real @ X4 @ X6 ) )
= ( minus_minus_real @ ( plus_plus_real @ X2 @ X6 ) @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1139]) ).
thf(fact_51_add__diff__cancel__left_H,axiom,
! [A: real,B: real] :
( ( minus_minus_real @ ( plus_plus_real @ A @ B ) @ A )
= B ) ).
thf(zip_derived_cl80,plain,
( !!
@ ^ [Y0: real] :
( !!
@ ^ [Y1: real] :
( ( minus_minus_real @ ( plus_plus_real @ Y0 @ Y1 ) @ Y0 )
= Y1 ) ) ),
inference(cnf,[status(esa)],[fact_51_add__diff__cancel__left_H]) ).
thf(zip_derived_cl81,plain,
!! @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ minus_minus_real ) @ plus_plus_real ) ) @ '#I' ) ) ) @ '#I' ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl836,plain,
! [X2: real] : ( !! @ ( '#S' @ ( '#B' @ (=) @ ( '#C' @ ( '#B' @ minus_minus_real @ ( plus_plus_real @ X2 ) ) @ X2 ) ) @ '#I' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl837,plain,
! [X2: real,X4: real] :
( ( minus_minus_real @ ( plus_plus_real @ X2 @ X4 ) @ X2 )
= X4 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl836]) ).
thf(zip_derived_cl838,plain,
! [X2: real,X4: real] :
( ( minus_minus_real @ ( plus_plus_real @ X2 @ X4 ) @ X2 )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl837]) ).
thf(zip_derived_cl20387,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl713,zip_derived_cl1144,zip_derived_cl711,zip_derived_cl1145,zip_derived_cl953,zip_derived_cl1136,zip_derived_cl1319,zip_derived_cl1140,zip_derived_cl838]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP062^1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WIxLuDWMqH true
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 13:18:12 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.62 % Total configuration time : 828
% 0.21/0.62 % Estimated wc time : 1656
% 0.21/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.08/0.82 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.08/0.83 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.43/0.87 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 89.65/12.19 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 89.65/12.20 % Solved by lams/40_b.comb.sh.
% 89.65/12.20 % done 885 iterations in 11.382s
% 89.65/12.20 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 89.65/12.20 % SZS output start Refutation
% See solution above
% 89.65/12.20
% 89.65/12.20
% 89.65/12.20 % Terminating...
% 90.29/12.33 % Runner terminated.
% 90.29/12.33 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------