%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET741^4 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.D8Y2zwmb6i 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 04:52:46 PM UTC 2025
% Result : Theorem 0.60s 0.97s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 88 ( 68 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 185 ( 15 ~; 10 |; 11 &; 139 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 85 ( 18 ^; 58 !; 9 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__14_type,type,
sk__14: $i ).
thf(fun_surjective_type,type,
fun_surjective: ( $i > $i ) > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf('#_fresh_sk1_type',type,
'#_fresh_sk1': $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(fun_composition_type,type,
fun_composition: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(fun_bijective_type,type,
fun_bijective: ( $i > $i ) > $o ).
thf(fun_injective_type,type,
fun_injective: ( $i > $i ) > $o ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(fun_bijective,axiom,
( fun_bijective
= ( ^ [F: $i > $i] :
( ( fun_injective @ F )
& ( fun_surjective @ F ) ) ) ) ).
thf(fun_surjective,axiom,
( fun_surjective
= ( ^ [F: $i > $i] :
! [Y: $i] :
? [X: $i] :
( Y
= ( F @ X ) ) ) ) ).
thf('0',plain,
( fun_surjective
= ( ^ [F: $i > $i] :
! [Y: $i] :
? [X: $i] :
( Y
= ( F @ X ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[fun_surjective]) ).
thf('1',plain,
( fun_surjective
= ( ^ [V_1: $i > $i] :
! [X4: $i] :
? [X6: $i] :
( X4
= ( V_1 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(fun_injective,axiom,
( fun_injective
= ( ^ [F: $i > $i] :
! [X: $i,Y: $i] :
( ( ( F @ X )
= ( F @ Y ) )
=> ( X = Y ) ) ) ) ).
thf('2',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('3',plain,
( fun_injective
= ( ^ [V_1: $i > $i] :
! [X4: $i,X6: $i] :
( ( ( V_1 @ X4 )
= ( V_1 @ X6 ) )
=> ( X4 = X6 ) ) ) ),
define([status(thm)]) ).
thf('4',plain,
( fun_bijective
= ( ^ [F: $i > $i] :
( ( fun_injective @ F )
& ( fun_surjective @ F ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[fun_bijective,'1','3']) ).
thf('5',plain,
( fun_bijective
= ( ^ [V_1: $i > $i] :
( ( fun_injective @ V_1 )
& ( fun_surjective @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(fun_composition,axiom,
( fun_composition
= ( ^ [F: $i > $i,G: $i > $i,X: $i] : ( G @ ( F @ X ) ) ) ) ).
thf('6',plain,
( fun_composition
= ( ^ [F: $i > $i,G: $i > $i,X: $i] : ( G @ ( F @ X ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[fun_composition]) ).
thf('7',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,H: $i > $i] :
( ( ( fun_injective @ ( fun_composition @ ( fun_composition @ F @ G ) @ H ) )
& ( fun_surjective @ ( fun_composition @ ( fun_composition @ G @ H ) @ F ) )
& ( fun_surjective @ ( fun_composition @ ( fun_composition @ H @ F ) @ G ) ) )
=> ( fun_bijective @ H ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i,X6: $i > $i,X8: $i > $i] :
( ( ! [X10: $i,X12: $i] :
( ( ( X8 @ ( X6 @ ( X4 @ X10 ) ) )
= ( X8 @ ( X6 @ ( X4 @ X12 ) ) ) )
=> ( X10 = X12 ) )
& ! [X14: $i] :
? [X16: $i] :
( X14
= ( X4 @ ( X8 @ ( X6 @ X16 ) ) ) )
& ! [X18: $i] :
? [X20: $i] :
( X18
= ( X6 @ ( X4 @ ( X8 @ X20 ) ) ) ) )
=> ( ! [X22: $i,X24: $i] :
( ( ( X8 @ X22 )
= ( X8 @ X24 ) )
=> ( X22 = X24 ) )
& ! [X26: $i] :
? [X28: $i] :
( X26
= ( X8 @ X28 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i,X6: $i > $i,X8: $i > $i] :
( ( ! [X10: $i,X12: $i] :
( ( ( X8 @ ( X6 @ ( X4 @ X10 ) ) )
= ( X8 @ ( X6 @ ( X4 @ X12 ) ) ) )
=> ( X10 = X12 ) )
& ! [X14: $i] :
? [X16: $i] :
( X14
= ( X4 @ ( X8 @ ( X6 @ X16 ) ) ) )
& ! [X18: $i] :
? [X20: $i] :
( X18
= ( X6 @ ( X4 @ ( X8 @ X20 ) ) ) ) )
=> ( ! [X22: $i,X24: $i] :
( ( ( X8 @ X22 )
= ( X8 @ X24 ) )
=> ( X22 = X24 ) )
& ! [X26: $i] :
? [X28: $i] :
( X26
= ( X8 @ X28 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X3: $i] :
( X3
= ( sk__11 @ ( sk__10 @ ( sk__12 @ ( sk__16 @ X3 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( ( sk__12 @ ( sk__11 @ ( sk__10 @ X1 ) ) )
!= ( sk__12 @ ( sk__11 @ ( sk__10 @ X0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ( ( sk__12 @ ( sk__11 @ ( sk__10 @ X1 ) ) )
!= ( sk__12 @ X0 ) )
| ( X1
= ( sk__12 @ ( sk__16 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl112,plain,
! [X0: $i] :
( X0
= ( sk__12 @ ( sk__16 @ ( sk__11 @ ( sk__10 @ X0 ) ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl3,plain,
! [X4: $i] :
( ( sk__13 != sk__14 )
| ( sk__15
!= ( sk__12 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl112_001,plain,
! [X0: $i] :
( X0
= ( sk__12 @ ( sk__16 @ ( sk__11 @ ( sk__10 @ X0 ) ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl4,plain,
! [X4: $i] :
( ( ( sk__12 @ sk__13 )
= ( sk__12 @ sk__14 ) )
| ( sk__15
!= ( sk__12 @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl141,plain,
! [X0: $i] :
( ( sk__15 != X0 )
| ( ( sk__12 @ sk__13 )
= ( sk__12 @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4]) ).
thf(zip_derived_cl160,plain,
( ( sk__12 @ sk__13 )
= ( sk__12 @ sk__14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl141]) ).
thf(zip_derived_cl34_002,plain,
! [X0: $i,X1: $i] :
( ( ( sk__12 @ ( sk__11 @ ( sk__10 @ X1 ) ) )
!= ( sk__12 @ X0 ) )
| ( X1
= ( sk__12 @ ( sk__16 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl2_003,plain,
! [X3: $i] :
( X3
= ( sk__11 @ ( sk__10 @ ( sk__12 @ ( sk__16 @ X3 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( sk__11 @ ( sk__10 @ X0 ) ) )
| ( ( sk__12 @ ( sk__11 @ ( sk__10 @ X0 ) ) )
!= ( sk__12 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl2]) ).
thf(zip_derived_cl2_004,plain,
! [X3: $i] :
( X3
= ( sk__11 @ ( sk__10 @ ( sk__12 @ ( sk__16 @ X3 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl358,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( ( sk__12 @ ( sk__11 @ ( sk__10 @ ( sk__12 @ ( sk__16 @ X1 ) ) ) ) )
!= ( sk__12 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl2]) ).
thf(zip_derived_cl2_005,plain,
! [X3: $i] :
( X3
= ( sk__11 @ ( sk__10 @ ( sk__12 @ ( sk__16 @ X3 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl422,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( ( sk__12 @ X1 )
!= ( sk__12 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl2]) ).
thf(zip_derived_cl538,plain,
! [X1: $i] :
( ( '#_fresh_sk1' @ ( sk__12 @ X1 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl422]) ).
thf(zip_derived_cl602,plain,
( ( '#_fresh_sk1' @ ( sk__12 @ sk__13 ) )
= sk__14 ),
inference('sup+',[status(thm)],[zip_derived_cl160,zip_derived_cl538]) ).
thf(zip_derived_cl538_006,plain,
! [X1: $i] :
( ( '#_fresh_sk1' @ ( sk__12 @ X1 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl422]) ).
thf(zip_derived_cl611,plain,
sk__13 = sk__14,
inference(demod,[status(thm)],[zip_derived_cl602,zip_derived_cl538]) ).
thf(zip_derived_cl612,plain,
! [X4: $i] :
( ( sk__13 != sk__13 )
| ( sk__15
!= ( sk__12 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl611]) ).
thf(zip_derived_cl613,plain,
! [X4: $i] :
( sk__15
!= ( sk__12 @ X4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl612]) ).
thf(zip_derived_cl615,plain,
! [X0: $i] : ( sk__15 != X0 ),
inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl613]) ).
thf(zip_derived_cl643,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl615]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET741^4 : TPTP v9.2.0. Released v3.6.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.D8Y2zwmb6i true
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Oct 1 13:07:38 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.37 % Running in HO mode
% 0.58/0.69 % Total configuration time : 828
% 0.58/0.69 % Estimated wc time : 1656
% 0.58/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.80 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.80 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.97 % Solved by lams/40_c.s.sh.
% 0.60/0.97 % done 28 iterations in 0.129s
% 0.60/0.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/0.97 % SZS output start Refutation
% See solution above
% 0.60/0.97
% 0.60/0.97
% 0.60/0.97 % Terminating...
% 2.83/1.21 % Runner terminated.
% 2.83/1.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------