%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET716^4 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BD6IHwl6bf true
% Computer : n022.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 04:52:44 PM UTC 2025
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 39 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 85 ( 9 ~; 4 |; 3 &; 57 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 44 ( 12 ^; 32 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf('#_fresh_sk1_type',type,
'#_fresh_sk1': $i > $i ).
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(fun_composition_type,type,
fun_composition: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(fun_injective_type,type,
fun_injective: ( $i > $i ) > $o ).
thf(fun_injective,axiom,
( fun_injective
= ( ^ [F: $i > $i] :
! [X: $i,Y: $i] :
( ( ( F @ X )
= ( F @ Y ) )
=> ( X = Y ) ) ) ) ).
thf('0',plain,
( fun_injective
= ( ^ [F: $i > $i] :
! [X: $i,Y: $i] :
( ( ( F @ X )
= ( F @ Y ) )
=> ( X = Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[fun_injective]) ).
thf('1',plain,
( fun_injective
= ( ^ [V_1: $i > $i] :
! [X4: $i,X6: $i] :
( ( ( V_1 @ X4 )
= ( V_1 @ X6 ) )
=> ( X4 = X6 ) ) ) ),
define([status(thm)]) ).
thf(fun_composition,axiom,
( fun_composition
= ( ^ [F: $i > $i,G: $i > $i,X: $i] : ( G @ ( F @ X ) ) ) ) ).
thf('2',plain,
( fun_composition
= ( ^ [F: $i > $i,G: $i > $i,X: $i] : ( G @ ( F @ X ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[fun_composition]) ).
thf('3',plain,
( fun_composition
= ( ^ [V_1: $i > $i,V_2: $i > $i,V_3: $i] : ( V_2 @ ( V_1 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [F: $i > $i,G: $i > $i] :
( ( ( fun_injective @ F )
& ( fun_injective @ G ) )
=> ( fun_injective @ ( fun_composition @ F @ G ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i,X6: $i > $i] :
( ( ! [X8: $i,X10: $i] :
( ( ( X4 @ X8 )
= ( X4 @ X10 ) )
=> ( X8 = X10 ) )
& ! [X12: $i,X14: $i] :
( ( ( X6 @ X12 )
= ( X6 @ X14 ) )
=> ( X12 = X14 ) ) )
=> ! [X16: $i,X18: $i] :
( ( ( X6 @ ( X4 @ X16 ) )
= ( X6 @ ( X4 @ X18 ) ) )
=> ( X16 = X18 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i,X6: $i > $i] :
( ( ! [X8: $i,X10: $i] :
( ( ( X4 @ X8 )
= ( X4 @ X10 ) )
=> ( X8 = X10 ) )
& ! [X12: $i,X14: $i] :
( ( ( X6 @ X12 )
= ( X6 @ X14 ) )
=> ( X12 = X14 ) ) )
=> ! [X16: $i,X18: $i] :
( ( ( X6 @ ( X4 @ X16 ) )
= ( X6 @ ( X4 @ X18 ) ) )
=> ( X16 = X18 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i,X3: $i] :
( ( X3 = X2 )
| ( ( sk__10 @ X3 )
!= ( sk__10 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
sk__12 != sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ( sk__12 != X0 )
| ( ( sk__10 @ sk__13 )
!= ( sk__10 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl0,plain,
( ( sk__11 @ ( sk__10 @ sk__12 ) )
= ( sk__11 @ ( sk__10 @ sk__13 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( ( sk__11 @ X1 )
!= ( sk__11 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl23,plain,
! [X1: $i] :
( ( '#_fresh_sk1' @ ( sk__11 @ X1 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl41,plain,
( ( '#_fresh_sk1' @ ( sk__11 @ ( sk__10 @ sk__12 ) ) )
= ( sk__10 @ sk__13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl23]) ).
thf(zip_derived_cl23_001,plain,
! [X1: $i] :
( ( '#_fresh_sk1' @ ( sk__11 @ X1 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl45,plain,
( ( sk__10 @ sk__12 )
= ( sk__10 @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl23]) ).
thf(zip_derived_cl87,plain,
! [X0: $i] :
( ( sk__12 != X0 )
| ( ( sk__10 @ sk__12 )
!= ( sk__10 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl45]) ).
thf(zip_derived_cl88,plain,
( ( sk__10 @ sk__12 )
!= ( sk__10 @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl89,plain,
$false,
inference('simplify_reflect+',[status(thm)],[zip_derived_cl88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET716^4 : TPTP v9.2.0. Released v3.6.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BD6IHwl6bf true
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Oct 1 13:00:23 EDT 2025
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.38 % 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
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.81 % Solved by lams/40_c.s.sh.
% 0.60/0.81 % done 6 iterations in 0.013s
% 0.60/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.81 % SZS output start Refutation
% See solution above
% 0.60/0.81
% 0.60/0.81
% 0.60/0.81 % Terminating...
% 0.68/0.88 % Runner terminated.
% 1.87/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------