%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP042^1 : 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.fpsR9z7UxC true
% Computer : n012.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 04:38:38 PM UTC 2025
% Result : Theorem 33.38s 4.82s
% Output : Refutation 33.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 9 equ; 0 cnn)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 105 ( 2 ~; 0 |; 9 &; 86 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 10 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 10 usr; 7 con; 0-3 aty)
% ( 2 !!; 4 ??; 0 @@+; 0 @@-)
% Number of variables : 22 ( 15 ^; 2 !; 5 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(denota723907260t_unit_type,type,
denota723907260t_unit: $tType ).
thf(set_Su111624115um_c_b_type,type,
set_Su111624115um_c_b: $tType ).
thf(sum_su1965225555um_c_b_type,type,
sum_su1965225555um_c_b: $tType ).
thf(a_type,type,
a: $tType ).
thf(set_a_type,type,
set_a: $tType ).
thf(trm_a_b_type,type,
trm_a_b: $tType ).
thf(member_a_type,type,
member_a: a > set_a > $o ).
thf(sum_In811702836um_c_b_type,type,
sum_In811702836um_c_b: a > sum_su1965225555um_c_b ).
thf(theta_2_type,type,
theta_2: trm_a_b ).
thf(collec1166375742um_c_b_type,type,
collec1166375742um_c_b: ( sum_su1965225555um_c_b > $o ) > set_Su111624115um_c_b ).
thf(times_a_b_type,type,
times_a_b: trm_a_b > trm_a_b > trm_a_b ).
thf(denota896875430_a_c_b_type,type,
denota896875430_a_c_b: denota723907260t_unit > denota723907260t_unit > set_Su111624115um_c_b > $o ).
thf(theta_1_type,type,
theta_1: trm_a_b ).
thf(static_SIGT_a_b_type,type,
static_SIGT_a_b: trm_a_b > set_a ).
thf(i_type,type,
i: denota723907260t_unit ).
thf(j_type,type,
j: denota723907260t_unit ).
thf(conj_0,conjecture,
( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl358,plain,
~ ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ??
@ ^ [Y1: a] :
( ( Y0
= ( sum_In811702836um_c_b @ Y1 ) )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_3_dfree__Times_Oprems_I2_J,axiom,
( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) ) ).
thf(zip_derived_cl3,plain,
( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ??
@ ^ [Y1: a] :
( ( Y0
= ( sum_In811702836um_c_b @ Y1 ) )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_3_dfree__Times_Oprems_I2_J]) ).
thf(fact_0__092_060open_062_092_060And_062J_AI_O_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_ITimes_A_092_060theta_062_092_060_094sub_0621_A_092_060theta_062_092_060_094sub_0622_J_125_A_092_060Longrightarrow_062_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_092_060theta_062_092_060_094sub_0621_125_092_060close_062,axiom,
! [I: denota723907260t_unit,J: denota723907260t_unit] :
( ( denota896875430_a_c_b @ I @ J
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
=> ( denota896875430_a_c_b @ I @ J
@ ( collec1166375742um_c_b
@ ^ [Uu: sum_su1965225555um_c_b] :
? [X: a] :
( ( Uu
= ( sum_In811702836um_c_b @ X ) )
& ( member_a @ X @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: denota723907260t_unit] :
( !!
@ ^ [Y1: denota723907260t_unit] :
( ( denota896875430_a_c_b @ Y0 @ Y1
@ ( collec1166375742um_c_b
@ ^ [Y2: sum_su1965225555um_c_b] :
( ??
@ ^ [Y3: a] :
( ( Y2
= ( sum_In811702836um_c_b @ Y3 ) )
& ( member_a @ Y3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) ) )
=> ( denota896875430_a_c_b @ Y0 @ Y1
@ ( collec1166375742um_c_b
@ ^ [Y2: sum_su1965225555um_c_b] :
( ??
@ ^ [Y3: a] :
( ( Y2
= ( sum_In811702836um_c_b @ Y3 ) )
& ( member_a @ Y3 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062_092_060And_062J_AI_O_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_ITimes_A_092_060theta_062_092_060_094sub_0621_A_092_060theta_062_092_060_094sub_0622_J_125_A_092_060Longrightarrow_062_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_092_060theta_062_092_060_094sub_0621_125_092_060close_062]) ).
thf(zip_derived_cl2307,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl358,zip_derived_cl3,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : ITP042^1 : TPTP v9.2.0. Released v7.5.0.
% 0.05/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fpsR9z7UxC true
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 15:24:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.18/0.59 % Total configuration time : 828
% 0.18/0.59 % Estimated wc time : 1656
% 0.18/0.59 % Estimated cpu time (8 cpus) : 207.0
% 0.90/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.90/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.90/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.90/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.90/0.69 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.90/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.29/0.71 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.29/0.72 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.31/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 33.38/4.82 % Solved by lams/15_e_short1.sh.
% 33.38/4.82 % done 139 iterations in 4.079s
% 33.38/4.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 33.38/4.82 % SZS output start Refutation
% See solution above
% 33.38/4.82
% 33.38/4.82
% 33.38/4.82 % Terminating...
% 33.38/4.92 % Runner terminated.
% 33.38/4.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------