TSTP Solution File: GRP194+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP194+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bhBHyyfhLJ true
% Computer : n028.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 01:50:40 EDT 2023
% Result : Theorem 1.30s 0.78s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 44 ( 12 unt; 9 typ; 0 def)
% Number of atoms : 74 ( 14 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 342 ( 41 ~; 31 |; 3 &; 262 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 24 ( 0 ^; 23 !; 1 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(phi_type,type,
phi: $i > $i ).
thf(left_zero_type,type,
left_zero: $i > $i > $o ).
thf(group_member_type,type,
group_member: $i > $i > $o ).
thf(f_left_zero_type,type,
f_left_zero: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(f_type,type,
f: $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(multiply_type,type,
multiply: $i > $i > $i > $i ).
thf(h_type,type,
h: $i ).
thf(homomorphism1,axiom,
! [X: $i] :
( ( group_member @ X @ f )
=> ( group_member @ ( phi @ X ) @ h ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( group_member @ ( phi @ X0 ) @ h )
| ~ ( group_member @ X0 @ f ) ),
inference(cnf,[status(esa)],[homomorphism1]) ).
thf(left_zero,axiom,
! [G: $i,X: $i] :
( ( left_zero @ G @ X )
<=> ( ( group_member @ X @ G )
& ! [Y: $i] :
( ( group_member @ Y @ G )
=> ( ( multiply @ G @ X @ Y )
= X ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( left_zero @ X0 @ X1 )
| ( group_member @ ( sk__1 @ X1 @ X0 ) @ X0 )
| ~ ( group_member @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[left_zero]) ).
thf(prove_left_zero_h,conjecture,
left_zero @ h @ ( phi @ f_left_zero ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( left_zero @ h @ ( phi @ f_left_zero ) ),
inference('cnf.neg',[status(esa)],[prove_left_zero_h]) ).
thf(zip_derived_cl11,plain,
~ ( left_zero @ h @ ( phi @ f_left_zero ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62,plain,
( ~ ( group_member @ ( phi @ f_left_zero ) @ h )
| ( group_member @ ( sk__1 @ ( phi @ f_left_zero ) @ h ) @ h ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl11]) ).
thf(surjective,axiom,
! [X: $i] :
( ( group_member @ X @ h )
=> ? [Y: $i] :
( ( ( phi @ Y )
= X )
& ( group_member @ Y @ f ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( ( phi @ ( sk_ @ X0 ) )
= X0 )
| ~ ( group_member @ X0 @ h ) ),
inference(cnf,[status(esa)],[surjective]) ).
thf(zip_derived_cl71,plain,
( ~ ( group_member @ ( phi @ f_left_zero ) @ h )
| ( ( phi @ ( sk_ @ ( sk__1 @ ( phi @ f_left_zero ) @ h ) ) )
= ( sk__1 @ ( phi @ f_left_zero ) @ h ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl4]) ).
thf(homomorphism2,axiom,
! [X: $i,Y: $i] :
( ( ( group_member @ X @ f )
& ( group_member @ Y @ f ) )
=> ( ( multiply @ h @ ( phi @ X ) @ ( phi @ Y ) )
= ( phi @ ( multiply @ f @ X @ Y ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ~ ( group_member @ X0 @ f )
| ~ ( group_member @ X1 @ f )
| ( ( multiply @ h @ ( phi @ X0 ) @ ( phi @ X1 ) )
= ( phi @ ( multiply @ f @ X0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[homomorphism2]) ).
thf(zip_derived_cl116,plain,
! [X0: $i] :
( ( ( multiply @ h @ ( phi @ X0 ) @ ( sk__1 @ ( phi @ f_left_zero ) @ h ) )
= ( phi @ ( multiply @ f @ X0 @ ( sk_ @ ( sk__1 @ ( phi @ f_left_zero ) @ h ) ) ) ) )
| ~ ( group_member @ ( phi @ f_left_zero ) @ h )
| ~ ( group_member @ ( sk_ @ ( sk__1 @ ( phi @ f_left_zero ) @ h ) ) @ f )
| ~ ( group_member @ X0 @ f ) ),
inference('sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( left_zero @ X0 @ X1 )
| ( ( multiply @ X0 @ X1 @ ( sk__1 @ X1 @ X0 ) )
!= X1 )
| ~ ( group_member @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[left_zero]) ).
thf(zip_derived_cl11_001,plain,
~ ( left_zero @ h @ ( phi @ f_left_zero ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl65,plain,
( ~ ( group_member @ ( phi @ f_left_zero ) @ h )
| ( ( multiply @ h @ ( phi @ f_left_zero ) @ ( sk__1 @ ( phi @ f_left_zero ) @ h ) )
!= ( phi @ f_left_zero ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl11]) ).
thf(zip_derived_cl123,plain,
( ( ( phi @ ( multiply @ f @ f_left_zero @ ( sk_ @ ( sk__1 @ ( phi @ f_left_zero ) @ h ) ) ) )
!= ( phi @ f_left_zero ) )
| ~ ( group_member @ f_left_zero @ f )
| ~ ( group_member @ ( sk_ @ ( sk__1 @ ( phi @ f_left_zero ) @ h ) ) @ f )
| ~ ( group_member @ ( phi @ f_left_zero ) @ h )
| ~ ( group_member @ ( phi @ f_left_zero ) @ h ) ),
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl65]) ).
thf(left_zero_for_f,axiom,
left_zero @ f @ f_left_zero ).
thf(zip_derived_cl10,plain,
left_zero @ f @ f_left_zero,
inference(cnf,[status(esa)],[left_zero_for_f]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( group_member @ X0 @ X1 )
| ~ ( left_zero @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[left_zero]) ).
thf(zip_derived_cl66,plain,
group_member @ f_left_zero @ f,
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl6]) ).
thf(zip_derived_cl129,plain,
( ( ( phi @ ( multiply @ f @ f_left_zero @ ( sk_ @ ( sk__1 @ ( phi @ f_left_zero ) @ h ) ) ) )
!= ( phi @ f_left_zero ) )
| ~ ( group_member @ ( sk_ @ ( sk__1 @ ( phi @ f_left_zero ) @ h ) ) @ f )
| ~ ( group_member @ ( phi @ f_left_zero ) @ h )
| ~ ( group_member @ ( phi @ f_left_zero ) @ h ) ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl66]) ).
thf(zip_derived_cl130,plain,
( ~ ( group_member @ ( phi @ f_left_zero ) @ h )
| ~ ( group_member @ ( sk_ @ ( sk__1 @ ( phi @ f_left_zero ) @ h ) ) @ f )
| ( ( phi @ ( multiply @ f @ f_left_zero @ ( sk_ @ ( sk__1 @ ( phi @ f_left_zero ) @ h ) ) ) )
!= ( phi @ f_left_zero ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl10_002,plain,
left_zero @ f @ f_left_zero,
inference(cnf,[status(esa)],[left_zero_for_f]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( group_member @ X0 @ X1 )
| ( ( multiply @ X1 @ X2 @ X0 )
= X2 )
| ~ ( left_zero @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[left_zero]) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ( ( multiply @ f @ f_left_zero @ X0 )
= f_left_zero )
| ~ ( group_member @ X0 @ f ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl7]) ).
thf(zip_derived_cl131,plain,
( ~ ( group_member @ ( sk_ @ ( sk__1 @ ( phi @ f_left_zero ) @ h ) ) @ f )
| ~ ( group_member @ ( phi @ f_left_zero ) @ h ) ),
inference(clc,[status(thm)],[zip_derived_cl130,zip_derived_cl67]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( group_member @ ( sk_ @ X0 ) @ f )
| ~ ( group_member @ X0 @ h ) ),
inference(cnf,[status(esa)],[surjective]) ).
thf(zip_derived_cl132,plain,
( ~ ( group_member @ ( phi @ f_left_zero ) @ h )
| ~ ( group_member @ ( sk__1 @ ( phi @ f_left_zero ) @ h ) @ h ) ),
inference('sup+',[status(thm)],[zip_derived_cl131,zip_derived_cl5]) ).
thf(zip_derived_cl62_003,plain,
( ~ ( group_member @ ( phi @ f_left_zero ) @ h )
| ( group_member @ ( sk__1 @ ( phi @ f_left_zero ) @ h ) @ h ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl11]) ).
thf(zip_derived_cl134,plain,
~ ( group_member @ ( phi @ f_left_zero ) @ h ),
inference(clc,[status(thm)],[zip_derived_cl132,zip_derived_cl62]) ).
thf(zip_derived_cl136,plain,
~ ( group_member @ f_left_zero @ f ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl134]) ).
thf(zip_derived_cl66_004,plain,
group_member @ f_left_zero @ f,
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl6]) ).
thf(zip_derived_cl137,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP194+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bhBHyyfhLJ true
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 21:29:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.19/0.34 % Running in FO mode
% 0.19/0.64 % Total configuration time : 435
% 0.19/0.64 % Estimated wc time : 1092
% 0.19/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.78 % Solved by fo/fo3_bce.sh.
% 1.30/0.78 % BCE start: 12
% 1.30/0.78 % BCE eliminated: 0
% 1.30/0.78 % PE start: 12
% 1.30/0.78 logic: eq
% 1.30/0.78 % PE eliminated: -1
% 1.30/0.78 % done 22 iterations in 0.022s
% 1.30/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.30/0.78 % SZS output start Refutation
% See solution above
% 1.30/0.78
% 1.30/0.78
% 1.30/0.78 % Terminating...
% 1.49/0.84 % Runner terminated.
% 1.49/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------