%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP106^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.H8RPcYuPbC true
% Computer : n005.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 21.64s 3.92s
% Output : Refutation 21.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 13 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 474 ( 15 ~; 7 |; 1 &; 448 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 9 con; 0-3 aty)
% Number of variables : 29 ( 0 ^; 29 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(product_prod_a_a_type,type,
product_prod_a_a: $tType ).
thf(a_type,type,
a: $tType ).
thf(partia1833973666xt_a_b_type,type,
partia1833973666xt_a_b: $tType ).
thf(set_Product_prod_a_a_type,type,
set_Product_prod_a_a: $tType ).
thf(partia1993116613t_unit_type,type,
partia1993116613t_unit: $tType ).
thf(s2_type,type,
s2: a ).
thf(s3_type,type,
s3: a ).
thf(r_type,type,
r: partia1833973666xt_a_b ).
thf(member449909584od_a_a_type,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(product_Pair_a_a_type,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(r4_type,type,
r4: a ).
thf(s_type,type,
s: a ).
thf(r3_type,type,
r3: a ).
thf(add_a_b_type,type,
add_a_b: partia1833973666xt_a_b > a > a > a ).
thf(r2_type,type,
r2: a ).
thf(partia206007992t_unit_type,type,
partia206007992t_unit: partia1993116613t_unit > set_Product_prod_a_a ).
thf(mult_a_ring_ext_a_b_type,type,
mult_a_ring_ext_a_b: partia1833973666xt_a_b > a > a > a ).
thf(rel_type,type,
rel: partia1993116613t_unit ).
thf(fact_10_f5,axiom,
member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) @ ( partia206007992t_unit @ rel ) ).
thf(zip_derived_cl10,plain,
member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) @ ( partia206007992t_unit @ rel ),
inference(cnf,[status(esa)],[fact_10_f5]) ).
thf(fact_4_closed__rel__add,axiom,
! [R: a,S: a,R2: a,S2: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ R @ S ) @ ( partia206007992t_unit @ rel ) )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ R2 @ S2 ) @ ( partia206007992t_unit @ rel ) )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ S2 @ R ) @ ( mult_a_ring_ext_a_b @ r @ S @ R2 ) ) @ ( mult_a_ring_ext_a_b @ r @ S @ S2 ) ) @ ( partia206007992t_unit @ rel ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ ( partia206007992t_unit @ rel ) )
| ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ X2 @ X0 ) @ ( mult_a_ring_ext_a_b @ r @ X1 @ X3 ) ) @ ( mult_a_ring_ext_a_b @ r @ X1 @ X2 ) ) @ ( partia206007992t_unit @ rel ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ X3 @ X2 ) @ ( partia206007992t_unit @ rel ) ) ),
inference(cnf,[status(esa)],[fact_4_closed__rel__add]) ).
thf(fact_20_prod_Oinject,axiom,
! [X1: a,X2: a,Y1: a,Y2: a] :
( ( ( product_Pair_a_a @ X1 @ X2 )
= ( product_Pair_a_a @ Y1 @ Y2 ) )
<=> ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( X1 = X0 )
| ( ( product_Pair_a_a @ X1 @ X3 )
!= ( product_Pair_a_a @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_20_prod_Oinject]) ).
thf(conj_0,conjecture,
member449909584od_a_a @ ( product_Pair_a_a @ ( add_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 @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_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 @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl43,plain,
~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_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 @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_7__092_060open_062s_A_092_060otimes_062_As_H_H_A_092_060otimes_062_A_Ir_H_A_092_060otimes_062_Ar_H_H_J_A_061_As_H_H_A_092_060otimes_062_As_A_092_060otimes_062_A_Ir_H_A_092_060otimes_062_Ar_H_H_J_092_060close_062,axiom,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) )
= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s3 @ s ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) ).
thf(zip_derived_cl7,plain,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) )
= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s3 @ s ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ),
inference(cnf,[status(esa)],[fact_7__092_060open_062s_A_092_060otimes_062_As_H_H_A_092_060otimes_062_A_Ir_H_A_092_060otimes_062_Ar_H_H_J_A_061_As_H_H_A_092_060otimes_062_As_A_092_060otimes_062_A_Ir_H_A_092_060otimes_062_Ar_H_H_J_092_060close_062]) ).
thf(zip_derived_cl1407,plain,
~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_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 @ r2 @ r4 ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s3 @ s ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl7]) ).
thf(zip_derived_cl1424,plain,
! [X0: a,X1: a,X2: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( add_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 @ r2 @ r4 ) ) @ X0 ) @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) ) @ ( partia206007992t_unit @ rel ) )
| ( ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s3 @ s ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) @ X1 )
!= ( product_Pair_a_a @ X0 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl1407]) ).
thf(zip_derived_cl1602,plain,
! [X0: a,X1: a,X2: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) @ ( partia206007992t_unit @ rel ) )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) ) @ ( partia206007992t_unit @ rel ) )
| ( ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s3 @ s ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) @ X1 )
!= ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ X0 ) @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1424]) ).
thf(fact_11_f4,axiom,
member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) ) @ ( partia206007992t_unit @ rel ) ).
thf(zip_derived_cl11,plain,
member449909584od_a_a @ ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ r2 @ r4 ) @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) ) @ ( partia206007992t_unit @ rel ),
inference(cnf,[status(esa)],[fact_11_f4]) ).
thf(zip_derived_cl1610,plain,
! [X0: a,X1: a,X2: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ ( mult_a_ring_ext_a_b @ r @ s2 @ s3 ) ) @ ( partia206007992t_unit @ rel ) )
| ( ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s3 @ s ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) @ X1 )
!= ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ X0 ) @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1602,zip_derived_cl11]) ).
thf(zip_derived_cl1613,plain,
! [X0: a,X1: a] :
( ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s3 @ s ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) @ X0 )
!= ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1610]) ).
thf(zip_derived_cl7_001,plain,
( ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s @ s3 ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) )
= ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s3 @ s ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) ),
inference(cnf,[status(esa)],[fact_7__092_060open_062s_A_092_060otimes_062_As_H_H_A_092_060otimes_062_A_Ir_H_A_092_060otimes_062_Ar_H_H_J_A_061_As_H_H_A_092_060otimes_062_As_A_092_060otimes_062_A_Ir_H_A_092_060otimes_062_Ar_H_H_J_092_060close_062]) ).
thf(zip_derived_cl1616,plain,
! [X0: a,X1: a] :
( ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s3 @ s ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) @ X0 )
!= ( product_Pair_a_a @ ( mult_a_ring_ext_a_b @ r @ ( mult_a_ring_ext_a_b @ r @ s3 @ s ) @ ( mult_a_ring_ext_a_b @ r @ r3 @ r4 ) ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1613,zip_derived_cl7]) ).
thf(zip_derived_cl2998,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl1616]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.16 % Problem : ITP106^1 : TPTP v9.2.0. Released v7.5.0.
% 0.03/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.H8RPcYuPbC true
% 0.09/0.38 % Computer : n005.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8042.1875MB
% 0.09/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Oct 1 15:35:38 EDT 2025
% 0.09/0.39 % CPUTime :
% 0.09/0.39 % Running portfolio for 300 s
% 0.09/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.39 % Number of cores: 8
% 0.09/0.39 % Python version: Python 3.6.8
% 0.09/0.39 % Running in HO mode
% 0.55/0.63 % Total configuration time : 828
% 0.55/0.63 % Estimated wc time : 1656
% 0.55/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.84/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.84/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.84/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.84/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.84/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.89/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.89/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.89/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.91/0.97 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 21.64/3.92 % Solved by lams/40_c_ic.sh.
% 21.64/3.92 % done 309 iterations in 3.144s
% 21.64/3.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 21.64/3.92 % SZS output start Refutation
% See solution above
% 21.64/3.92
% 21.64/3.92
% 21.64/3.92 % Terminating...
% 22.12/4.16 % Runner terminated.
% 22.12/4.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------