%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW473^2 : TPTP v9.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HhulJtaJWX true
% Computer : n019.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 05:02:54 PM UTC 2025
% Result : Theorem 33.92s 4.88s
% Output : Refutation 33.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 15
% Syntax : Number of formulae : 32 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 137 ( 12 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 263 ( 2 ~; 2 |; 2 &; 206 @)
% ( 6 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 3 con; 0-3 aty)
% ( 31 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 62 ( 31 ^; 31 !; 0 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(pname_type,type,
pname: $tType ).
thf(x_a_type,type,
x_a: $tType ).
thf(image_pname_a_type,type,
image_pname_a: ( pname > x_a ) > ( pname > $o ) > x_a > $o ).
thf(g_type,type,
g: x_a > $o ).
thf(pn_type,type,
pn: pname ).
thf(mgt_call_type,type,
mgt_call: pname > x_a ).
thf(u_type,type,
u: pname > $o ).
thf(insert_pname_type,type,
insert_pname: pname > ( pname > $o ) > pname > $o ).
thf(member_a_type,type,
member_a: x_a > ( x_a > $o ) > $o ).
thf(member_pname_type,type,
member_pname: pname > ( pname > $o ) > $o ).
thf(ord_less_eq_a_o_type,type,
ord_less_eq_a_o: ( x_a > $o ) > ( x_a > $o ) > $o ).
thf(insert_a_type,type,
insert_a: x_a > ( x_a > $o ) > x_a > $o ).
thf(fact_343_insert__image,axiom,
! [F_14: pname > x_a,X_17: pname,A_39: pname > $o] :
( ( member_pname @ X_17 @ A_39 )
=> ( ( insert_a @ ( F_14 @ X_17 ) @ ( image_pname_a @ F_14 @ A_39 ) )
= ( image_pname_a @ F_14 @ A_39 ) ) ) ).
thf(zip_derived_cl343,plain,
( !!
@ ^ [Y0: pname > x_a] :
( !!
@ ^ [Y1: pname] :
( !!
@ ^ [Y2: pname > $o] :
( ( member_pname @ Y1 @ Y2 )
=> ( ( insert_a @ ( Y0 @ Y1 ) @ ( image_pname_a @ Y0 @ Y2 ) )
= ( image_pname_a @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_343_insert__image]) ).
thf(conj_4,axiom,
member_pname @ pn @ u ).
thf(zip_derived_cl716,plain,
member_pname @ pn @ u,
inference(cnf,[status(esa)],[conj_4]) ).
thf(fact_264_insert__absorb,axiom,
! [A_60: pname,A_59: pname > $o] :
( ( member_pname @ A_60 @ A_59 )
=> ( ( insert_pname @ A_60 @ A_59 )
= A_59 ) ) ).
thf(zip_derived_cl264,plain,
( !!
@ ^ [Y0: pname] :
( !!
@ ^ [Y1: pname > $o] :
( ( member_pname @ Y0 @ Y1 )
=> ( ( insert_pname @ Y0 @ Y1 )
= Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_264_insert__absorb]) ).
thf(fact_337_image__insert,axiom,
! [F_15: pname > x_a,A_40: pname,B_14: pname > $o] :
( ( image_pname_a @ F_15 @ ( insert_pname @ A_40 @ B_14 ) )
= ( insert_a @ ( F_15 @ A_40 ) @ ( image_pname_a @ F_15 @ B_14 ) ) ) ).
thf(zip_derived_cl337,plain,
( !!
@ ^ [Y0: pname > x_a] :
( !!
@ ^ [Y1: pname] :
( !!
@ ^ [Y2: pname > $o] :
( ( image_pname_a @ Y0 @ ( insert_pname @ Y1 @ Y2 ) )
= ( insert_a @ ( Y0 @ Y1 ) @ ( image_pname_a @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_337_image__insert]) ).
thf(fact_289_mem__def,axiom,
! [X_22: x_a,A_51: x_a > $o] :
( ( member_a @ X_22 @ A_51 )
<=> ( A_51 @ X_22 ) ) ).
thf(zip_derived_cl289,plain,
( !!
@ ^ [Y0: x_a] :
( !!
@ ^ [Y1: x_a > $o] :
( ( member_a @ Y0 @ Y1 )
<=> ( Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_289_mem__def]) ).
thf(fact_265_insert__absorb,axiom,
! [A_60: x_a,A_59: x_a > $o] :
( ( member_a @ A_60 @ A_59 )
=> ( ( insert_a @ A_60 @ A_59 )
= A_59 ) ) ).
thf(zip_derived_cl265,plain,
( !!
@ ^ [Y0: x_a] :
( !!
@ ^ [Y1: x_a > $o] :
( ( member_a @ Y0 @ Y1 )
=> ( ( insert_a @ Y0 @ Y1 )
= Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_265_insert__absorb]) ).
thf(fact_321_subset__insertI,axiom,
! [B_19: x_a > $o,A_45: x_a] : ( ord_less_eq_a_o @ B_19 @ ( insert_a @ A_45 @ B_19 ) ) ).
thf(zip_derived_cl321,plain,
( !!
@ ^ [Y0: x_a > $o] :
( !!
@ ^ [Y1: x_a] : ( ord_less_eq_a_o @ Y0 @ ( insert_a @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_321_subset__insertI]) ).
thf(fact_333_insert__mono,axiom,
! [A_41: x_a,C_9: x_a > $o,D_1: x_a > $o] :
( ( ord_less_eq_a_o @ C_9 @ D_1 )
=> ( ord_less_eq_a_o @ ( insert_a @ A_41 @ C_9 ) @ ( insert_a @ A_41 @ D_1 ) ) ) ).
thf(zip_derived_cl333,plain,
( !!
@ ^ [Y0: x_a] :
( !!
@ ^ [Y1: x_a > $o] :
( !!
@ ^ [Y2: x_a > $o] :
( ( ord_less_eq_a_o @ Y1 @ Y2 )
=> ( ord_less_eq_a_o @ ( insert_a @ Y0 @ Y1 ) @ ( insert_a @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_333_insert__mono]) ).
thf(fact_504_xt1_I6_J,axiom,
! [Z_2: x_a > $o,Y_8: x_a > $o,X_9: x_a > $o] :
( ( ord_less_eq_a_o @ Y_8 @ X_9 )
=> ( ( ord_less_eq_a_o @ Z_2 @ Y_8 )
=> ( ord_less_eq_a_o @ Z_2 @ X_9 ) ) ) ).
thf(zip_derived_cl504,plain,
( !!
@ ^ [Y0: x_a > $o] :
( !!
@ ^ [Y1: x_a > $o] :
( !!
@ ^ [Y2: x_a > $o] :
( ( ord_less_eq_a_o @ Y1 @ Y2 )
=> ( ( ord_less_eq_a_o @ Y0 @ Y1 )
=> ( ord_less_eq_a_o @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_504_xt1_I6_J]) ).
thf(fact_330_subset__insertI2,axiom,
! [B_16: x_a,A_42: x_a > $o,B_15: x_a > $o] :
( ( ord_less_eq_a_o @ A_42 @ B_15 )
=> ( ord_less_eq_a_o @ A_42 @ ( insert_a @ B_16 @ B_15 ) ) ) ).
thf(zip_derived_cl330,plain,
( !!
@ ^ [Y0: x_a] :
( !!
@ ^ [Y1: x_a > $o] :
( !!
@ ^ [Y2: x_a > $o] :
( ( ord_less_eq_a_o @ Y1 @ Y2 )
=> ( ord_less_eq_a_o @ Y1 @ ( insert_a @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_330_subset__insertI2]) ).
thf(fact_247_insert__absorb2,axiom,
! [X_29: x_a,A_67: x_a > $o] :
( ( insert_a @ X_29 @ ( insert_a @ X_29 @ A_67 ) )
= ( insert_a @ X_29 @ A_67 ) ) ).
thf(zip_derived_cl247,plain,
( !!
@ ^ [Y0: x_a] :
( !!
@ ^ [Y1: x_a > $o] :
( ( insert_a @ Y0 @ ( insert_a @ Y0 @ Y1 ) )
= ( insert_a @ Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_247_insert__absorb2]) ).
thf(fact_324_insert__subset,axiom,
! [X_19: x_a,A_44: x_a > $o,B_18: x_a > $o] :
( ( ord_less_eq_a_o @ ( insert_a @ X_19 @ A_44 ) @ B_18 )
<=> ( ( ord_less_eq_a_o @ A_44 @ B_18 )
& ( member_a @ X_19 @ B_18 ) ) ) ).
thf(zip_derived_cl324,plain,
( !!
@ ^ [Y0: x_a] :
( !!
@ ^ [Y1: x_a > $o] :
( !!
@ ^ [Y2: x_a > $o] :
( ( ord_less_eq_a_o @ ( insert_a @ Y0 @ Y1 ) @ Y2 )
<=> ( ( ord_less_eq_a_o @ Y1 @ Y2 )
& ( member_a @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_324_insert__subset]) ).
thf(fact_256_insert__code,axiom,
! [Y_11: x_a,A_63: x_a > $o,X_27: x_a] :
( ( insert_a @ Y_11 @ A_63 @ X_27 )
<=> ( ( A_63 @ X_27 )
| ( Y_11 = X_27 ) ) ) ).
thf(zip_derived_cl256,plain,
( !!
@ ^ [Y0: x_a] :
( !!
@ ^ [Y1: x_a > $o] :
( !!
@ ^ [Y2: x_a] :
( ( insert_a @ Y0 @ Y1 @ Y2 )
<=> ( ( Y1 @ Y2 )
| ( Y0 = Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_256_insert__code]) ).
thf(conj_1,axiom,
ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) ).
thf(zip_derived_cl713,plain,
ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(conj_6,conjecture,
ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ),
inference('cnf.neg',[status(esa)],[conj_6]) ).
thf(zip_derived_cl718,plain,
~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3565,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl343,zip_derived_cl716,zip_derived_cl264,zip_derived_cl337,zip_derived_cl289,zip_derived_cl265,zip_derived_cl321,zip_derived_cl333,zip_derived_cl504,zip_derived_cl330,zip_derived_cl247,zip_derived_cl324,zip_derived_cl256,zip_derived_cl713,zip_derived_cl718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW473^2 : TPTP v9.2.0. Released v5.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HhulJtaJWX true
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 12:09:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.55/0.67 % Total configuration time : 828
% 0.55/0.67 % Estimated wc time : 1656
% 0.55/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.82 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 33.92/4.88 % Solved by lams/15_e_short1.sh.
% 33.92/4.88 % done 122 iterations in 4.095s
% 33.92/4.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 33.92/4.88 % SZS output start Refutation
% See solution above
% 33.92/4.88
% 33.92/4.88
% 33.92/4.88 % Terminating...
% 34.24/5.00 % Runner terminated.
% 34.24/5.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------