TSTP Solution File: ITP108^1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP108^1 : 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.pEztk2gqYB true
% Computer : n009.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 05:22:13 EDT 2023
% Result : Theorem 6.01s 1.39s
% Output : Refutation 6.01s
% Verified :
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(partia1833973666xt_a_b_type,type,
partia1833973666xt_a_b: $tType ).
thf(product_prod_a_a_type,type,
product_prod_a_a: $tType ).
thf(set_a_type,type,
set_a: $tType ).
thf(product_snd_a_a_type,type,
product_snd_a_a: product_prod_a_a > a ).
thf(r_type,type,
r: partia1833973666xt_a_b ).
thf(partia1066395285xt_a_b_type,type,
partia1066395285xt_a_b: partia1833973666xt_a_b > set_a ).
thf(y_type,type,
y: product_prod_a_a ).
thf(a_inv_a_b_type,type,
a_inv_a_b: partia1833973666xt_a_b > a > a ).
thf(s_type,type,
s: set_a ).
thf(mult_a_ring_ext_a_b_type,type,
mult_a_ring_ext_a_b: partia1833973666xt_a_b > a > a > a ).
thf(ord_less_eq_set_a_type,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(s2_type,type,
s2: a ).
thf(zero_a_b_type,type,
zero_a_b: partia1833973666xt_a_b > a ).
thf(product_fst_a_a_type,type,
product_fst_a_a: product_prod_a_a > a ).
thf(x_type,type,
x: product_prod_a_a ).
thf(s3_type,type,
s3: a ).
thf(t_type,type,
t: a ).
thf(r2_type,type,
r2: a ).
thf(add_a_b_type,type,
add_a_b: partia1833973666xt_a_b > a > a > a ).
thf(a_minus_a_b_type,type,
a_minus_a_b: partia1833973666xt_a_b > a > a > a ).
thf(r3_type,type,
r3: a ).
thf(t2_type,type,
t2: a ).
thf(member_a_type,type,
member_a: a > set_a > $o ).
thf(fact_21__092_060open_062_092_060lbrakk_062snd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_A_092_060in_062_Acarrier_AR_059_Asnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_A_092_060in_062_Acarrier_AR_059_At_A_092_060otimes_062_At_H_A_092_060in_062_Acarrier_AR_092_060rbrakk_062_A_092_060Longrightarrow_062_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_A_092_060oplus_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_J_J_A_061_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_J_A_092_060oplus_062_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_J_092_060close_062,axiom,
( ( member_a @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) @ ( partia1066395285xt_a_b @ r ) )
=> ( ( member_a @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) @ ( partia1066395285xt_a_b @ r ) )
=> ( ( member_a @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( partia1066395285xt_a_b @ r ) )
=> ( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( add_a_b @ r @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) ) )
= ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl21,plain,
( ( member_a @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) @ ( partia1066395285xt_a_b @ r ) )
=> ( ( member_a @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) @ ( partia1066395285xt_a_b @ r ) )
=> ( ( member_a @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( partia1066395285xt_a_b @ r ) )
=> ( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( add_a_b @ r @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) ) )
= ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_21__092_060open_062_092_060lbrakk_062snd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_A_092_060in_062_Acarrier_AR_059_Asnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_A_092_060in_062_Acarrier_AR_059_At_A_092_060otimes_062_At_H_A_092_060in_062_Acarrier_AR_092_060rbrakk_062_A_092_060Longrightarrow_062_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_A_092_060oplus_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_J_J_A_061_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_H_A_092_060otimes_062_Ar_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ay_H_A_092_060otimes_062_Afst_Ax_H_J_J_A_092_060oplus_062_At_A_092_060otimes_062_At_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Asnd_Ay_H_A_092_060otimes_062_A_Is_A_092_060otimes_062_Ar_H_J_A_092_060ominus_062_As_A_092_060otimes_062_As_H_A_092_060otimes_062_A_Isnd_Ax_H_A_092_060otimes_062_Afst_Ay_H_J_J_092_060close_062]) ).
thf(fact_67_minus__eq,axiom,
! [X: a,Y: a] :
( ( a_minus_a_b @ r @ X @ Y )
= ( add_a_b @ r @ X @ ( a_inv_a_b @ r @ Y ) ) ) ).
thf(zip_derived_cl63,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( a_minus_a_b @ r @ Y0 @ Y1 )
= ( add_a_b @ r @ Y0 @ ( a_inv_a_b @ r @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_67_minus__eq]) ).
thf(zip_derived_cl161,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( a_minus_a_b @ r @ X2 @ Y0 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl162,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl161]) ).
thf(zip_derived_cl163,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(fact_12_f41,axiom,
member_a @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) @ ( partia1066395285xt_a_b @ r ) ).
thf(zip_derived_cl12,plain,
member_a @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) @ ( partia1066395285xt_a_b @ r ),
inference(cnf,[status(esa)],[fact_12_f41]) ).
thf(zip_derived_cl163_001,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl183,plain,
member_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( a_inv_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) ) @ ( partia1066395285xt_a_b @ r ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl163]) ).
thf(zip_derived_cl163_002,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(fact_13_f42,axiom,
member_a @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) @ ( partia1066395285xt_a_b @ r ) ).
thf(zip_derived_cl13,plain,
member_a @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) @ ( partia1066395285xt_a_b @ r ),
inference(cnf,[status(esa)],[fact_13_f42]) ).
thf(zip_derived_cl163_003,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl206,plain,
member_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( a_inv_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) ) @ ( partia1066395285xt_a_b @ r ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl163]) ).
thf(zip_derived_cl163_004,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl163_005,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl163_006,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(fact_42_f32,axiom,
( ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) )
= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) ) ) ).
thf(zip_derived_cl42,plain,
( ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) )
= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_42_f32]) ).
thf(zip_derived_cl163_007,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(fact_40_f12,axiom,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ t2 @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ r2 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ ( product_fst_a_a @ x ) ) ) ) )
= ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ t2 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ r2 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ t2 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ ( product_fst_a_a @ x ) ) ) ) ) ).
thf(zip_derived_cl40,plain,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ t2 @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ r2 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ ( product_fst_a_a @ x ) ) ) ) )
= ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ t2 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ r2 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ t2 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ ( product_fst_a_a @ x ) ) ) ) ),
inference(cnf,[status(esa)],[fact_40_f12]) ).
thf(zip_derived_cl163_008,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(fact_57_f5,axiom,
( ( mult_a_ring_ext_a_b @ r @ t2 @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ r2 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ ( product_fst_a_a @ x ) ) ) )
= ( zero_a_b @ r ) ) ).
thf(zip_derived_cl54,plain,
( ( mult_a_ring_ext_a_b @ r @ t2 @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ r2 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ ( product_fst_a_a @ x ) ) ) )
= ( zero_a_b @ r ) ),
inference(cnf,[status(esa)],[fact_57_f5]) ).
thf(zip_derived_cl163_009,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl164,plain,
( ( mult_a_ring_ext_a_b @ r @ t2 @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ r2 ) @ ( a_inv_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ ( product_fst_a_a @ x ) ) ) ) )
= ( zero_a_b @ r ) ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl163]) ).
thf(fact_32_f24,axiom,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) )
= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ t2 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ r2 ) ) ) ).
thf(zip_derived_cl32,plain,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) )
= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ t2 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ r2 ) ) ),
inference(cnf,[status(esa)],[fact_32_f24]) ).
thf(fact_35_f23,axiom,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) )
= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ t2 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ ( product_fst_a_a @ x ) ) ) ) ).
thf(zip_derived_cl35,plain,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) )
= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ t2 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ ( product_fst_a_a @ x ) ) ) ),
inference(cnf,[status(esa)],[fact_35_f23]) ).
thf(zip_derived_cl163_010,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl461,plain,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ ( zero_a_b @ r ) )
= ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) ) @ ( a_inv_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl163,zip_derived_cl164,zip_derived_cl32,zip_derived_cl35,zip_derived_cl163]) ).
thf(zip_derived_cl163_011,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl518,plain,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ ( zero_a_b @ r ) )
= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( a_inv_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl163,zip_derived_cl461,zip_derived_cl163]) ).
thf(zip_derived_cl163_012,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(fact_49_f33,axiom,
( ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) )
= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) ) ) ).
thf(zip_derived_cl46,plain,
( ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) )
= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_49_f33]) ).
thf(zip_derived_cl163_013,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(fact_48_f30,axiom,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ s2 ) @ ( product_snd_a_a @ x ) ) @ ( mult_a_ring_ext_a_b @ r @ t @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ ( product_fst_a_a @ y ) ) ) ) )
= ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) ) ) ).
thf(zip_derived_cl45,plain,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ s2 ) @ ( product_snd_a_a @ x ) ) @ ( mult_a_ring_ext_a_b @ r @ t @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ ( product_fst_a_a @ y ) ) ) ) )
= ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_48_f30]) ).
thf(zip_derived_cl163_014,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(fact_58_f7,axiom,
( ( mult_a_ring_ext_a_b @ r @ t @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ ( product_fst_a_a @ y ) ) ) )
= ( zero_a_b @ r ) ) ).
thf(zip_derived_cl55,plain,
( ( mult_a_ring_ext_a_b @ r @ t @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ ( product_fst_a_a @ y ) ) ) )
= ( zero_a_b @ r ) ),
inference(cnf,[status(esa)],[fact_58_f7]) ).
thf(zip_derived_cl163_015,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl165,plain,
( ( mult_a_ring_ext_a_b @ r @ t @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ r3 ) @ ( a_inv_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s3 @ ( product_fst_a_a @ y ) ) ) ) )
= ( zero_a_b @ r ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl163]) ).
thf(zip_derived_cl163_016,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl464,plain,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ s2 ) @ ( product_snd_a_a @ x ) ) @ ( zero_a_b @ r ) )
= ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) ) @ ( a_inv_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl163,zip_derived_cl165,zip_derived_cl163]) ).
thf(zip_derived_cl163_017,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl520,plain,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ s2 ) @ ( product_snd_a_a @ x ) ) @ ( zero_a_b @ r ) )
= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( a_inv_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl163,zip_derived_cl464,zip_derived_cl163]) ).
thf(zip_derived_cl549,plain,
( $true
=> ( $true
=> ( ( member_a @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( partia1066395285xt_a_b @ r ) )
=> ( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( add_a_b @ r @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( a_inv_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) ) @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( a_inv_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) ) ) )
= ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ ( zero_a_b @ r ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ s2 ) @ ( product_snd_a_a @ x ) ) @ ( zero_a_b @ r ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl163,zip_derived_cl183,zip_derived_cl163,zip_derived_cl206,zip_derived_cl163,zip_derived_cl163,zip_derived_cl163,zip_derived_cl518,zip_derived_cl163,zip_derived_cl520]) ).
thf(conj_0,conjecture,
( ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ t2 @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ r2 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ ( product_fst_a_a @ x ) ) ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ s2 ) @ ( product_snd_a_a @ x ) ) @ ( mult_a_ring_ext_a_b @ r @ t @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ ( product_fst_a_a @ y ) ) ) ) ) )
= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( add_a_b @ r @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ t2 @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ r2 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ ( product_fst_a_a @ x ) ) ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ s2 ) @ ( product_snd_a_a @ x ) ) @ ( mult_a_ring_ext_a_b @ r @ t @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ ( product_fst_a_a @ y ) ) ) ) ) )
!= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( add_a_b @ r @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl123,plain,
( ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ t2 @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ r2 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ ( product_fst_a_a @ x ) ) ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ s2 ) @ ( product_snd_a_a @ x ) ) @ ( mult_a_ring_ext_a_b @ r @ t @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ r3 ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ ( product_fst_a_a @ y ) ) ) ) ) )
!= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( add_a_b @ r @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) @ ( a_minus_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl163_018,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl164_019,plain,
( ( mult_a_ring_ext_a_b @ r @ t2 @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ r2 ) @ ( a_inv_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ ( product_fst_a_a @ x ) ) ) ) )
= ( zero_a_b @ r ) ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl163]) ).
thf(zip_derived_cl163_020,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl165_021,plain,
( ( mult_a_ring_ext_a_b @ r @ t @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ r3 ) @ ( a_inv_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s3 @ ( product_fst_a_a @ y ) ) ) ) )
= ( zero_a_b @ r ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl163]) ).
thf(zip_derived_cl163_022,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl163_023,plain,
! [X2: a,X4: a] :
( ( a_minus_a_b @ r @ X2 @ X4 )
= ( add_a_b @ r @ X2 @ ( a_inv_a_b @ r @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl446,plain,
( ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t @ s3 ) @ ( product_snd_a_a @ y ) ) @ ( zero_a_b @ r ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ s2 ) @ ( product_snd_a_a @ x ) ) @ ( zero_a_b @ r ) ) )
!= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( add_a_b @ r @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s3 @ r2 ) ) @ ( a_inv_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ y ) @ ( product_fst_a_a @ x ) ) ) ) ) @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_snd_a_a @ y ) ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ r3 ) ) @ ( a_inv_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ ( product_snd_a_a @ x ) @ ( product_fst_a_a @ y ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl163,zip_derived_cl164,zip_derived_cl163,zip_derived_cl165,zip_derived_cl163,zip_derived_cl163]) ).
thf(zip_derived_cl550,plain,
( $true
=> ( $true
=> ( ( member_a @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( partia1066395285xt_a_b @ r ) )
=> $false ) ) ),
inference(inner_simplify_reflect,[status(thm)],[zip_derived_cl549,zip_derived_cl446]) ).
thf(zip_derived_cl551,plain,
(~) @ ( member_a @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( partia1066395285xt_a_b @ r ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl550]) ).
thf(zip_derived_cl552,plain,
~ ( member_a @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ ( partia1066395285xt_a_b @ r ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl551]) ).
thf(fact_142_subset,axiom,
ord_less_eq_set_a @ s @ ( partia1066395285xt_a_b @ r ) ).
thf(zip_derived_cl106,plain,
ord_less_eq_set_a @ s @ ( partia1066395285xt_a_b @ r ),
inference(cnf,[status(esa)],[fact_142_subset]) ).
thf(fact_240_in__mono,axiom,
! [A2: set_a,B3: set_a,X: a] :
( ( ord_less_eq_set_a @ A2 @ B3 )
=> ( ( member_a @ X @ A2 )
=> ( member_a @ X @ B3 ) ) ) ).
thf(zip_derived_cl119,plain,
( !!
@ ^ [Y0: set_a] :
( !!
@ ^ [Y1: set_a] :
( !!
@ ^ [Y2: a] :
( ( ord_less_eq_set_a @ Y0 @ Y1 )
=> ( ( member_a @ Y2 @ Y0 )
=> ( member_a @ Y2 @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_240_in__mono]) ).
thf(zip_derived_cl229,plain,
! [X2: set_a] :
( !!
@ ^ [Y0: set_a] :
( !!
@ ^ [Y1: a] :
( ( ord_less_eq_set_a @ X2 @ Y0 )
=> ( ( member_a @ Y1 @ X2 )
=> ( member_a @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl119]) ).
thf(zip_derived_cl230,plain,
! [X2: set_a,X4: set_a] :
( !!
@ ^ [Y0: a] :
( ( ord_less_eq_set_a @ X2 @ X4 )
=> ( ( member_a @ Y0 @ X2 )
=> ( member_a @ Y0 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl229]) ).
thf(zip_derived_cl231,plain,
! [X2: set_a,X4: set_a,X6: a] :
( ( ord_less_eq_set_a @ X2 @ X4 )
=> ( ( member_a @ X6 @ X2 )
=> ( member_a @ X6 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl230]) ).
thf(zip_derived_cl232,plain,
! [X2: set_a,X4: set_a,X6: a] :
( ~ ( ord_less_eq_set_a @ X2 @ X4 )
| ( ( member_a @ X6 @ X2 )
=> ( member_a @ X6 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl231]) ).
thf(zip_derived_cl233,plain,
! [X2: set_a,X4: set_a,X6: a] :
( ~ ( member_a @ X6 @ X2 )
| ( member_a @ X6 @ X4 )
| ~ ( ord_less_eq_set_a @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl232]) ).
thf(zip_derived_cl661,plain,
! [X0: a] :
( ( member_a @ X0 @ ( partia1066395285xt_a_b @ r ) )
| ~ ( member_a @ X0 @ s ) ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl233]) ).
thf(zip_derived_cl677,plain,
~ ( member_a @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ s ),
inference('sup+',[status(thm)],[zip_derived_cl552,zip_derived_cl661]) ).
thf(fact_65_f8,axiom,
member_a @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ s ).
thf(zip_derived_cl62,plain,
member_a @ ( mult_a_ring_ext_a_b @ r @ t2 @ t ) @ s,
inference(cnf,[status(esa)],[fact_65_f8]) ).
thf(zip_derived_cl681,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl677,zip_derived_cl62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : ITP108^1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pEztk2gqYB true
% 0.13/0.36 % Computer : n009.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun Aug 27 10:12:20 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.37 % Running in HO mode
% 0.52/0.65 % Total configuration time : 828
% 0.52/0.65 % Estimated wc time : 1656
% 0.52/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.81 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 6.01/1.39 % Solved by lams/30_sp5.sh.
% 6.01/1.39 % done 55 iterations in 0.545s
% 6.01/1.39 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.01/1.39 % SZS output start Refutation
% See solution above
% 6.01/1.39
% 6.01/1.39
% 6.01/1.39 % Terminating...
% 6.71/1.48 % Runner terminated.
% 6.71/1.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------