TSTP Solution File: SET724^4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET724^4 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kpRAg71mui true
% Computer : n031.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 Aug 31 16:15:45 EDT 2023
% Result : Theorem 0.87s 0.77s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 23 ( 14 unt; 6 typ; 0 def)
% Number of atoms : 29 ( 24 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 2 ~; 0 |; 3 &; 38 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 1 con; 0-3 aty)
% Number of variables : 38 ( 12 ^; 21 !; 5 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(fun_surjective_type,type,
fun_surjective: ( $i > $i ) > $o ).
thf(sk__12_type,type,
sk__12: $i > $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__11_type,type,
sk__11: $i > $i ).
thf(sk__13_type,type,
sk__13: $i > $i ).
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_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,H: $i > $i] :
( ( ( ( fun_composition @ F @ G )
= ( fun_composition @ F @ H ) )
& ( fun_surjective @ F ) )
=> ( G = H ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i,X6: $i > $i,X8: $i > $i] :
( ( ! [V_2: $i] :
( ( X6 @ ( X4 @ V_2 ) )
= ( X8 @ ( X4 @ V_2 ) ) )
& ! [X10: $i] :
? [X12: $i] :
( X10
= ( X4 @ X12 ) ) )
=> ( X6 = X8 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i,X6: $i > $i,X8: $i > $i] :
( ( ! [V_2: $i] :
( ( X6 @ ( X4 @ V_2 ) )
= ( X8 @ ( X4 @ V_2 ) ) )
& ! [X10: $i] :
? [X12: $i] :
( X10
= ( X4 @ X12 ) ) )
=> ( X6 = X8 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X1: $i] :
( X1
= ( sk__10 @ ( sk__12 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( sk__11 @ ( sk__10 @ X0 ) )
= ( sk__13 @ ( sk__10 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( sk__11 @ ( sk__10 @ ( sk__12 @ X0 ) ) )
= ( sk__13 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl2_001,plain,
! [X1: $i] :
( X1
= ( sk__10 @ ( sk__12 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( sk__11 @ X0 )
= ( sk__13 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
sk__11 = sk__13,
inference(ho_ext_pos_general,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl0,plain,
sk__11 != sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET724^4 : TPTP v8.1.2. Released v3.6.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kpRAg71mui true
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 16:24:23 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.18/0.34 % Running in HO mode
% 0.18/0.62 % Total configuration time : 828
% 0.18/0.62 % Estimated wc time : 1656
% 0.18/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.18/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.18/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.18/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.18/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.18/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.18/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.18/0.73 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.87/0.77 % Solved by lams/40_c.s.sh.
% 0.87/0.77 % done 3 iterations in 0.014s
% 0.87/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.87/0.77 % SZS output start Refutation
% See solution above
% 0.87/0.77
% 0.87/0.77
% 0.87/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.87/0.77 % Terminating...
% 1.44/0.84 % Runner terminated.
% 1.88/0.86 % Zipperpin 1.5 exiting
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