%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : DAT056^1 : TPTP v9.2.0. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yBGfDb3IL9 true
% Computer : n002.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 04:32:43 PM UTC 2025
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 39 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 327 ( 11 ~; 11 |; 0 &; 302 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 11 con; 0-2 aty)
% Number of variables : 70 ( 0 ^; 70 !; 0 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
thf(lst_type,type,
lst: $tType ).
thf(a_type,type,
a: $tType ).
thf(sk__type,type,
sk_: a ).
thf(sk__4_type,type,
sk__4: lst ).
thf(nl_type,type,
nl: lst ).
thf(sk__1_type,type,
sk__1: lst ).
thf(ap_type,type,
ap: lst > lst > lst ).
thf(sk__5_type,type,
sk__5: lst ).
thf(xs_type,type,
xs: lst ).
thf(cns_type,type,
cns: a > lst > lst ).
thf(sk__3_type,type,
sk__3: lst ).
thf(sk__6_type,type,
sk__6: lst ).
thf(sk__2_type,type,
sk__2: lst ).
thf(sk__7_type,type,
sk__7: lst ).
thf(conj_0,conjecture,
! [Ys: lst,Zs: lst] :
( ( ap @ xs @ ( ap @ Ys @ Zs ) )
= ( ap @ ( ap @ xs @ Ys ) @ Zs ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Ys: lst,Zs: lst] :
( ( ap @ xs @ ( ap @ Ys @ Zs ) )
= ( ap @ ( ap @ xs @ Ys ) @ Zs ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl4,plain,
( ( ap @ xs @ ( ap @ sk__6 @ sk__7 ) )
!= ( ap @ ( ap @ xs @ sk__6 ) @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_0_lst_Oinduct_091where_AP_A_061_A_C_Fxs_O_AALL_Ays_Azs_O_Aap_Axs_A_Iap_Ays_Azs_J_A_061_Aap_A_Iap_Axs_Ays_J_Azs_C_093,axiom,
! [Lst: lst] :
( ! [Ys: lst,Zs: lst] :
( ( ap @ nl @ ( ap @ Ys @ Zs ) )
= ( ap @ ( ap @ nl @ Ys ) @ Zs ) )
=> ( ! [A: a,Lst2: lst] :
( ! [Ys3: lst,Zs2: lst] :
( ( ap @ Lst2 @ ( ap @ Ys3 @ Zs2 ) )
= ( ap @ ( ap @ Lst2 @ Ys3 ) @ Zs2 ) )
=> ! [Ys: lst,Zs: lst] :
( ( ap @ ( cns @ A @ Lst2 ) @ ( ap @ Ys @ Zs ) )
= ( ap @ ( ap @ ( cns @ A @ Lst2 ) @ Ys ) @ Zs ) ) )
=> ! [Ys3: lst,Zs2: lst] :
( ( ap @ Lst @ ( ap @ Ys3 @ Zs2 ) )
= ( ap @ ( ap @ Lst @ Ys3 ) @ Zs2 ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: lst,X1: lst,X2: lst] :
( ( ( ap @ ( cns @ sk_ @ sk__1 ) @ ( ap @ sk__2 @ sk__3 ) )
!= ( ap @ ( ap @ ( cns @ sk_ @ sk__1 ) @ sk__2 ) @ sk__3 ) )
| ( ( ap @ nl @ ( ap @ sk__4 @ sk__5 ) )
!= ( ap @ ( ap @ nl @ sk__4 ) @ sk__5 ) )
| ( ( ap @ X0 @ ( ap @ X1 @ X2 ) )
= ( ap @ ( ap @ X0 @ X1 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_0_lst_Oinduct_091where_AP_A_061_A_C_Fxs_O_AALL_Ays_Azs_O_Aap_Axs_A_Iap_Ays_Azs_J_A_061_Aap_A_Iap_Axs_Ays_J_Azs_C_093]) ).
thf(fact_2p_Osimps_I1_J,axiom,
! [Ys2: lst] :
( ( ap @ nl @ Ys2 )
= Ys2 ) ).
thf(zip_derived_cl3,plain,
! [X0: lst] :
( ( ap @ nl @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_2p_Osimps_I1_J]) ).
thf(zip_derived_cl3_001,plain,
! [X0: lst] :
( ( ap @ nl @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_2p_Osimps_I1_J]) ).
thf(zip_derived_cl14,plain,
! [X0: lst,X1: lst,X2: lst] :
( ( ( ap @ ( cns @ sk_ @ sk__1 ) @ ( ap @ sk__2 @ sk__3 ) )
!= ( ap @ ( ap @ ( cns @ sk_ @ sk__1 ) @ sk__2 ) @ sk__3 ) )
| ( ( ap @ sk__4 @ sk__5 )
!= ( ap @ sk__4 @ sk__5 ) )
| ( ( ap @ X0 @ ( ap @ X1 @ X2 ) )
= ( ap @ ( ap @ X0 @ X1 ) @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl15,plain,
! [X0: lst,X1: lst,X2: lst] :
( ( ( ap @ X0 @ ( ap @ X1 @ X2 ) )
= ( ap @ ( ap @ X0 @ X1 ) @ X2 ) )
| ( ( ap @ ( cns @ sk_ @ sk__1 ) @ ( ap @ sk__2 @ sk__3 ) )
!= ( ap @ ( ap @ ( cns @ sk_ @ sk__1 ) @ sk__2 ) @ sk__3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl1,plain,
! [X0: lst,X1: lst,X2: lst,X3: lst,X4: lst] :
( ( ( ap @ sk__1 @ ( ap @ X0 @ X1 ) )
= ( ap @ ( ap @ sk__1 @ X0 ) @ X1 ) )
| ( ( ap @ nl @ ( ap @ sk__4 @ sk__5 ) )
!= ( ap @ ( ap @ nl @ sk__4 ) @ sk__5 ) )
| ( ( ap @ X2 @ ( ap @ X3 @ X4 ) )
= ( ap @ ( ap @ X2 @ X3 ) @ X4 ) ) ),
inference(cnf,[status(esa)],[fact_0_lst_Oinduct_091where_AP_A_061_A_C_Fxs_O_AALL_Ays_Azs_O_Aap_Axs_A_Iap_Ays_Azs_J_A_061_Aap_A_Iap_Axs_Ays_J_Azs_C_093]) ).
thf(zip_derived_cl3_002,plain,
! [X0: lst] :
( ( ap @ nl @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_2p_Osimps_I1_J]) ).
thf(zip_derived_cl3_003,plain,
! [X0: lst] :
( ( ap @ nl @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_2p_Osimps_I1_J]) ).
thf(zip_derived_cl7,plain,
! [X0: lst,X1: lst,X2: lst,X3: lst,X4: lst] :
( ( ( ap @ sk__1 @ ( ap @ X0 @ X1 ) )
= ( ap @ ( ap @ sk__1 @ X0 ) @ X1 ) )
| ( ( ap @ sk__4 @ sk__5 )
!= ( ap @ sk__4 @ sk__5 ) )
| ( ( ap @ X2 @ ( ap @ X3 @ X4 ) )
= ( ap @ ( ap @ X2 @ X3 ) @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
! [X0: lst,X1: lst,X2: lst,X3: lst,X4: lst] :
( ( ( ap @ X2 @ ( ap @ X3 @ X4 ) )
= ( ap @ ( ap @ X2 @ X3 ) @ X4 ) )
| ( ( ap @ sk__1 @ ( ap @ X0 @ X1 ) )
= ( ap @ ( ap @ sk__1 @ X0 ) @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
! [X0: lst,X1: lst] :
( ( ap @ sk__1 @ ( ap @ X1 @ X0 ) )
= ( ap @ ( ap @ sk__1 @ X1 ) @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl8]) ).
thf(fact_1p_Osimps_I2_J,axiom,
! [Ys2: lst,Xs: lst,X: a] :
( ( ap @ ( cns @ X @ Xs ) @ Ys2 )
= ( cns @ X @ ( ap @ Xs @ Ys2 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: a,X1: lst,X2: lst] :
( ( ap @ ( cns @ X0 @ X1 ) @ X2 )
= ( cns @ X0 @ ( ap @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_1p_Osimps_I2_J]) ).
thf(zip_derived_cl10,plain,
! [X0: lst,X1: lst,X2: a] :
( ( ap @ ( cns @ X2 @ ( ap @ sk__1 @ X1 ) ) @ X0 )
= ( cns @ X2 @ ( ap @ sk__1 @ ( ap @ X1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl2]) ).
thf(zip_derived_cl2_004,plain,
! [X0: a,X1: lst,X2: lst] :
( ( ap @ ( cns @ X0 @ X1 ) @ X2 )
= ( cns @ X0 @ ( ap @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_1p_Osimps_I2_J]) ).
thf(zip_derived_cl2_005,plain,
! [X0: a,X1: lst,X2: lst] :
( ( ap @ ( cns @ X0 @ X1 ) @ X2 )
= ( cns @ X0 @ ( ap @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_1p_Osimps_I2_J]) ).
thf(zip_derived_cl12,plain,
! [X0: lst,X1: lst,X2: a] :
( ( ap @ ( ap @ ( cns @ X2 @ sk__1 ) @ X1 ) @ X0 )
= ( ap @ ( cns @ X2 @ sk__1 ) @ ( ap @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl44,plain,
! [X0: lst,X1: lst,X2: lst] :
( ( ( ap @ X0 @ ( ap @ X1 @ X2 ) )
= ( ap @ ( ap @ X0 @ X1 ) @ X2 ) )
| ( ( ap @ ( cns @ sk_ @ sk__1 ) @ ( ap @ sk__2 @ sk__3 ) )
!= ( ap @ ( cns @ sk_ @ sk__1 ) @ ( ap @ sk__2 @ sk__3 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl12]) ).
thf(zip_derived_cl45,plain,
! [X0: lst,X1: lst,X2: lst] :
( ( ap @ X0 @ ( ap @ X1 @ X2 ) )
= ( ap @ ( ap @ X0 @ X1 ) @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl50,plain,
( ( ap @ xs @ ( ap @ sk__6 @ sk__7 ) )
!= ( ap @ xs @ ( ap @ sk__6 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl45]) ).
thf(zip_derived_cl51,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : DAT056^1 : TPTP v9.2.0. Released v5.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yBGfDb3IL9 true
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 15:20:38 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.54/0.67 % Total configuration time : 828
% 0.54/0.67 % Estimated wc time : 1656
% 0.54/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.75 % Solved by lams/40_c.s.sh.
% 0.56/0.75 % done 13 iterations in 0.018s
% 0.56/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.75 % SZS output start Refutation
% See solution above
% 0.56/0.75
% 0.56/0.75
% 0.56/0.75 % Terminating...
% 0.69/0.86 % Runner terminated.
% 0.69/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------