%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP210^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VH2KsPURgW true
% Computer : n003.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 : Sat Feb 28 09:48:04 AM UTC 2026
% Result : Theorem 5.16s 1.30s
% Output : Refutation 5.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 22 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 113 ( 56 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 224 ( 37 ~; 8 |; 42 &; 135 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 27 ^; 0 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(assn_type,type,
assn: $tType ).
thf(produc3658429121746597890et_nat_type,type,
produc3658429121746597890et_nat: $tType ).
thf(y_type,type,
y: assn ).
thf(rep_assn_type,type,
rep_assn: assn > produc3658429121746597890et_nat > $o ).
thf(x_type,type,
x: assn ).
thf(abs_assn_type,type,
abs_assn: ( produc3658429121746597890et_nat > $o ) > assn ).
thf(conj_0,conjecture,
( ( ( x
= ( abs_assn
@ ^ [H2: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ H2 )
& ( rep_assn @ x @ H2 ) ) ) )
& ( x != y ) )
<=> ( ( x
= ( abs_assn
@ ^ [H2: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ H2 )
& ( rep_assn @ x @ H2 ) ) ) )
& ( y
!= ( abs_assn
@ ^ [H2: produc3658429121746597890et_nat] :
( ( rep_assn @ x @ H2 )
& ( rep_assn @ y @ H2 ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( x
= ( abs_assn
@ ^ [H2: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ H2 )
& ( rep_assn @ x @ H2 ) ) ) )
& ( x != y ) )
<=> ( ( x
= ( abs_assn
@ ^ [H2: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ H2 )
& ( rep_assn @ x @ H2 ) ) ) )
& ( y
!= ( abs_assn
@ ^ [H2: produc3658429121746597890et_nat] :
( ( rep_assn @ x @ H2 )
& ( rep_assn @ y @ H2 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl0,plain,
( ( ( x
= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ Y0 )
& ( rep_assn @ x @ Y0 ) ) ) )
& ( x != y ) )
!= ( ( x
= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ Y0 )
& ( rep_assn @ x @ Y0 ) ) ) )
& ( y
!= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ x @ Y0 )
& ( rep_assn @ y @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
( ( ( x
= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ Y0 )
& ( rep_assn @ x @ Y0 ) ) ) )
& ( x != y ) )
| ( ( x
= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ Y0 )
& ( rep_assn @ x @ Y0 ) ) ) )
& ( y
!= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ x @ Y0 )
& ( rep_assn @ y @ Y0 ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( ( x
= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ Y0 )
& ( rep_assn @ x @ Y0 ) ) ) )
| ( ( x
= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ Y0 )
& ( rep_assn @ x @ Y0 ) ) ) )
& ( y
!= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ x @ Y0 )
& ( rep_assn @ y @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
( ( x
= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ Y0 )
& ( rep_assn @ x @ Y0 ) ) ) )
| ( $false
& ( y
!= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ x @ Y0 )
& ( rep_assn @ y @ Y0 ) ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
( ( x
= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ Y0 )
& ( rep_assn @ x @ Y0 ) ) ) )
| ( $false
& ( y
!= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ x @ Y0 )
& ( rep_assn @ y @ Y0 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
( x
= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ Y0 )
& ( rep_assn @ x @ Y0 ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl0_001,plain,
( ( ( x
= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ Y0 )
& ( rep_assn @ x @ Y0 ) ) ) )
& ( x != y ) )
!= ( ( x
= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ Y0 )
& ( rep_assn @ x @ Y0 ) ) ) )
& ( y
!= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ x @ Y0 )
& ( rep_assn @ y @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_002,plain,
( x
= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ Y0 )
& ( rep_assn @ x @ Y0 ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl7_003,plain,
( x
= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ y @ Y0 )
& ( rep_assn @ x @ Y0 ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl14,plain,
( ( ( x = x )
& ( x != y ) )
!= ( ( x = x )
& ( y
!= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ x @ Y0 )
& ( rep_assn @ y @ Y0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
( ( x != y )
!= ( y
!= ( abs_assn
@ ^ [Y0: produc3658429121746597890et_nat] :
( ( rep_assn @ x @ Y0 )
& ( rep_assn @ y @ Y0 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl17,plain,
( ( x != y )
!= ( y != x ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl15]) ).
thf(zip_derived_cl24,plain,
( ~ ( ( x != y ) )
| ~ ( ( y != x ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl27,plain,
( ( x = y )
| ( y = x ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl28,plain,
x = y,
inference(simplify,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl17_004,plain,
( ( x != y )
!= ( y != x ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl15]) ).
thf(zip_derived_cl23,plain,
( ( x != y )
| ( y != x ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl25,plain,
( ( x != y )
| ( y != x ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl26,plain,
x != y,
inference(simplify,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl30,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28,zip_derived_cl26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP210^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VH2KsPURgW true
% 0.16/0.34 % Computer : n003.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Thu Feb 26 02:28:11 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 % Running portfolio for 300 s
% 0.16/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.35 % 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
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 5.16/1.30 % Solved by lams/20_acsne_simpl.sh.
% 5.16/1.30 % done 8 iterations in 0.461s
% 5.16/1.30 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.16/1.30 % SZS output start Refutation
% See solution above
% 5.16/1.30
% 5.16/1.30
% 5.16/1.30 % Terminating...
% 5.16/1.37 % Runner terminated.
% 5.16/1.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------