%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP209^3 : TPTP v9.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RY30wOu2h9 true
% Computer : n023.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 04:39:12 PM UTC 2025
% Result : Theorem 0.54s 0.82s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 19 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 146 ( 4 ~; 0 |; 0 &; 133 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 5 con; 0-2 aty)
% ( 9 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 35 ( 9 ^; 26 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(c_type,type,
c: a ).
thf(a2_type,type,
a2: a ).
thf(f_type,type,
f: a > a > a ).
thf(b_type,type,
b: a ).
thf(conj_0,conjecture,
( ( f @ ( f @ a2 @ b ) @ c )
= ( f @ ( f @ a2 @ c ) @ b ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( f @ ( f @ a2 @ b ) @ c )
!= ( f @ ( f @ a2 @ c ) @ b ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl10,plain,
( ( f @ ( f @ a2 @ b ) @ c )
!= ( f @ ( f @ a2 @ c ) @ b ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_1_commute,axiom,
! [A: a,B: a] :
( ( f @ A @ B )
= ( f @ B @ A ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( f @ Y0 @ Y1 )
= ( f @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_1_commute]) ).
thf(zip_derived_cl11,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( f @ X2 @ Y0 )
= ( f @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl12,plain,
! [X2: a,X4: a] :
( ( f @ X2 @ X4 )
= ( f @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl13,plain,
! [X2: a,X4: a] :
( ( f @ X2 @ X4 )
= ( f @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl13_001,plain,
! [X2: a,X4: a] :
( ( f @ X2 @ X4 )
= ( f @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
( ( f @ c @ ( f @ a2 @ b ) )
!= ( f @ b @ ( f @ a2 @ c ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl13,zip_derived_cl13]) ).
thf(fact_2_left__commute,axiom,
! [A: a,B: a,C: a] :
( ( f @ A @ ( f @ B @ C ) )
= ( f @ B @ ( f @ A @ C ) ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( f @ Y0 @ ( f @ Y1 @ Y2 ) )
= ( f @ Y1 @ ( f @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_2_left__commute]) ).
thf(zip_derived_cl15,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( f @ X2 @ ( f @ Y0 @ Y1 ) )
= ( f @ Y0 @ ( f @ X2 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl16,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( f @ X2 @ ( f @ X4 @ Y0 ) )
= ( f @ X4 @ ( f @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl17,plain,
! [X2: a,X4: a,X6: a] :
( ( f @ X2 @ ( f @ X4 @ X6 ) )
= ( f @ X4 @ ( f @ X2 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl18,plain,
! [X2: a,X4: a,X6: a] :
( ( f @ X2 @ ( f @ X4 @ X6 ) )
= ( f @ X4 @ ( f @ X2 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl13_002,plain,
! [X2: a,X4: a] :
( ( f @ X2 @ X4 )
= ( f @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl18_003,plain,
! [X2: a,X4: a,X6: a] :
( ( f @ X2 @ ( f @ X4 @ X6 ) )
= ( f @ X4 @ ( f @ X2 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
( ( f @ a2 @ ( f @ b @ c ) )
!= ( f @ a2 @ ( f @ b @ c ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl18,zip_derived_cl13,zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : ITP209^3 : TPTP v9.2.0. Released v8.1.0.
% 0.13/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RY30wOu2h9 true
% 0.13/0.38 % Computer : n023.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8042.1875MB
% 0.13/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Wed Oct 1 15:29:53 EDT 2025
% 0.13/0.38 % CPUTime :
% 0.13/0.38 % Running portfolio for 300 s
% 0.13/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 % Number of cores: 8
% 0.13/0.38 % Python version: Python 3.6.8
% 0.13/0.38 % Running in HO mode
% 0.52/0.68 % Total configuration time : 828
% 0.52/0.68 % Estimated wc time : 1656
% 0.52/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.54/0.82 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.54/0.82 % Solved by lams/30_sp5.sh.
% 0.54/0.82 % done 0 iterations in 0.013s
% 0.54/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.82 % SZS output start Refutation
% See solution above
% 0.54/0.82
% 0.54/0.82
% 0.54/0.82 % Terminating...
% 0.54/0.82 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 0.61/0.89 % Runner terminated.
% 0.61/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------