%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP188^1 : 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.SZdxFQ6NOm true
% Computer : n031.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 04:39:06 PM UTC 2025
% Result : Theorem 2.69s 3.25s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 4 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 303 ( 5 ~; 2 |; 0 &; 285 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 9 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 8 con; 0-3 aty)
% ( 6 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 18 ( 6 ^; 12 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(product_prod_pi_pi_type,type,
product_prod_pi_pi: $tType ).
thf(pi_type,type,
pi: $tType ).
thf(name_type,type,
name: $tType ).
thf(set_Pr1834926343_pi_pi_type,type,
set_Pr1834926343_pi_pi: $tType ).
thf(fresh_name_pi_type,type,
fresh_name_pi: name > pi > $o ).
thf(res_type,type,
res: name > pi > pi ).
thf(x_type,type,
x: name ).
thf(u_type,type,
u: name ).
thf(par_type,type,
par: pi > pi > pi ).
thf(product_Pair_pi_pi_type,type,
product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).
thf(p2_type,type,
p2: pi ).
thf(y_type,type,
y: name ).
thf(q_type,type,
q: pi ).
thf(rel_type,type,
rel: set_Pr1834926343_pi_pi ).
thf(member558706512_pi_pi_type,type,
member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(subs_type,type,
subs: pi > name > name > pi ).
thf(conj_0,conjecture,
member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ ( res @ x @ q ) @ y @ u ) ) ) @ rel ).
thf(zf_stmt_0,negated_conjecture,
~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ ( res @ x @ q ) @ y @ u ) ) ) @ rel ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl338,plain,
~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ ( res @ x @ q ) @ y @ u ) ) ) @ rel ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_1__092_060open_062_060_092_060nu_062x_062Q_091y_058_058_061u_093_A_061_A_060_092_060nu_062x_062Q_091y_058_058_061u_093_092_060close_062,axiom,
( ( subs @ ( res @ x @ q ) @ y @ u )
= ( res @ x @ ( subs @ q @ y @ u ) ) ) ).
thf(zip_derived_cl1,plain,
( ( subs @ ( res @ x @ q ) @ y @ u )
= ( res @ x @ ( subs @ q @ y @ u ) ) ),
inference(cnf,[status(esa)],[fact_1__092_060open_062_060_092_060nu_062x_062Q_091y_058_058_061u_093_A_061_A_060_092_060nu_062x_062Q_091y_058_058_061u_093_092_060close_062]) ).
thf(zip_derived_cl347,plain,
~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( res @ x @ ( subs @ q @ y @ u ) ) ) ) @ rel ),
inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl1]) ).
thf(fact_5__092_060open_062_060_092_060nu_062x_062_IP_H_A_092_060parallel_062_AQ_J_091y_058_058_061u_093_A_061_A_060_092_060nu_062x_062_IP_H_091y_058_058_061u_093_A_092_060parallel_062_AQ_091y_058_058_061u_093_J_092_060close_062,axiom,
( ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u )
= ( res @ x @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ q @ y @ u ) ) ) ) ).
thf(zip_derived_cl5,plain,
( ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u )
= ( res @ x @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ q @ y @ u ) ) ) ),
inference(cnf,[status(esa)],[fact_5__092_060open_062_060_092_060nu_062x_062_IP_H_A_092_060parallel_062_AQ_J_091y_058_058_061u_093_A_061_A_060_092_060nu_062x_062_IP_H_091y_058_058_061u_093_A_092_060parallel_062_AQ_091y_058_058_061u_093_J_092_060close_062]) ).
thf(fact_8_Res,axiom,
! [Y: name,R: pi,S: pi] :
( ( fresh_name_pi @ Y @ R )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ Y @ ( par @ R @ S ) ) @ ( par @ R @ ( res @ Y @ S ) ) ) @ rel ) ) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: name] :
( !!
@ ^ [Y1: pi] :
( !!
@ ^ [Y2: pi] :
( ( fresh_name_pi @ Y0 @ Y1 )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ Y0 @ ( par @ Y1 @ Y2 ) ) @ ( par @ Y1 @ ( res @ Y0 @ Y2 ) ) ) @ rel ) ) ) ) ),
inference(cnf,[status(esa)],[fact_8_Res]) ).
thf(zip_derived_cl355,plain,
! [X2: name] :
( !!
@ ^ [Y0: pi] :
( !!
@ ^ [Y1: pi] :
( ( fresh_name_pi @ X2 @ Y0 )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X2 @ ( par @ Y0 @ Y1 ) ) @ ( par @ Y0 @ ( res @ X2 @ Y1 ) ) ) @ rel ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl356,plain,
! [X2: name,X4: pi] :
( !!
@ ^ [Y0: pi] :
( ( fresh_name_pi @ X2 @ X4 )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X2 @ ( par @ X4 @ Y0 ) ) @ ( par @ X4 @ ( res @ X2 @ Y0 ) ) ) @ rel ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl355]) ).
thf(zip_derived_cl357,plain,
! [X2: name,X4: pi,X6: pi] :
( ( fresh_name_pi @ X2 @ X4 )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X2 @ ( par @ X4 @ X6 ) ) @ ( par @ X4 @ ( res @ X2 @ X6 ) ) ) @ rel ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl356]) ).
thf(zip_derived_cl358,plain,
! [X2: name,X4: pi,X6: pi] :
( ~ ( fresh_name_pi @ X2 @ X4 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X2 @ ( par @ X4 @ X6 ) ) @ ( par @ X4 @ ( res @ X2 @ X6 ) ) ) @ rel ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl357]) ).
thf(zip_derived_cl359,plain,
( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( res @ x @ ( subs @ q @ y @ u ) ) ) ) @ rel )
| ~ ( fresh_name_pi @ x @ ( subs @ p2 @ y @ u ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl358]) ).
thf(fact_3__092_060open_062x_A_092_060sharp_062_AP_H_091y_058_058_061u_093_092_060close_062,axiom,
fresh_name_pi @ x @ ( subs @ p2 @ y @ u ) ).
thf(zip_derived_cl3,plain,
fresh_name_pi @ x @ ( subs @ p2 @ y @ u ),
inference(cnf,[status(esa)],[fact_3__092_060open_062x_A_092_060sharp_062_AP_H_091y_058_058_061u_093_092_060close_062]) ).
thf(zip_derived_cl363,plain,
member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( res @ x @ ( subs @ q @ y @ u ) ) ) ) @ rel,
inference(demod,[status(thm)],[zip_derived_cl359,zip_derived_cl3]) ).
thf(zip_derived_cl390,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl347,zip_derived_cl363]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/1.04 % Problem : ITP188^1 : TPTP v9.2.0. Released v7.5.0.
% 0.09/1.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SZdxFQ6NOm true
% 0.16/1.57 % Computer : n031.cluster.edu
% 0.16/1.57 % Model : x86_64 x86_64
% 0.16/1.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/1.57 % Memory : 8042.1875MB
% 0.16/1.57 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/1.57 % CPULimit : 300
% 0.16/1.57 % WCLimit : 300
% 0.16/1.57 % DateTime : Wed Oct 1 15:31:54 EDT 2025
% 0.16/1.59 % CPUTime :
% 0.16/1.59 % Running portfolio for 300 s
% 0.16/1.59 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/1.61 % Number of cores: 8
% 0.18/1.63 % Python version: Python 3.6.8
% 0.18/1.64 % Running in HO mode
% 0.54/2.33 % Total configuration time : 828
% 0.54/2.33 % Estimated wc time : 1656
% 0.54/2.33 % Estimated cpu time (8 cpus) : 207.0
% 1.08/2.58 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.08/2.63 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.15/2.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.15/2.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.15/2.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.15/2.82 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.15/2.83 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.15/2.85 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 2.04/3.15 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 2.69/3.25 % Solved by lams/35_full_unif4.sh.
% 2.69/3.25 % done 36 iterations in 0.438s
% 2.69/3.25 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.69/3.25 % SZS output start Refutation
% See solution above
% 2.69/3.25
% 2.69/3.25
% 2.69/3.25 % Terminating...
% 3.05/3.48 % Runner terminated.
% 3.05/3.51 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------