TSTP Solution File: GEO500+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO500+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.epE4MWxnHU true
% Computer : n004.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 : Wed Aug 30 23:58:55 EDT 2023
% Result : Theorem 109.81s 16.32s
% Output : Refutation 109.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 50 ( 21 unt; 7 typ; 0 def)
% Number of atoms : 74 ( 27 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 400 ( 31 ~; 29 |; 2 &; 338 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 86 ( 0 ^; 86 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(s_type,type,
s: $i > $i > $i ).
thf(s_e_type,type,
s_e: $i > $i > $i > $i > $o ).
thf(s_m_type,type,
s_m: $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(s_t_type,type,
s_t: $i > $i > $i > $o ).
thf(aSatz7_4a,axiom,
! [Xp: $i,Xa: $i] : ( s_m @ Xp @ Xa @ ( s @ Xa @ Xp ) ) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i] : ( s_m @ X0 @ X1 @ ( s @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[aSatz7_4a]) ).
thf(d_Defn7_1,axiom,
! [Xa: $i,Xm: $i,Xb: $i] :
( ( ( s_m @ Xa @ Xm @ Xb )
| ~ ( s_e @ Xm @ Xa @ Xm @ Xb )
| ~ ( s_t @ Xa @ Xm @ Xb ) )
& ( ( s_e @ Xm @ Xa @ Xm @ Xb )
| ~ ( s_m @ Xa @ Xm @ Xb ) )
& ( ( s_t @ Xa @ Xm @ Xb )
| ~ ( s_m @ Xa @ Xm @ Xb ) ) ) ).
thf(zip_derived_cl163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s_e @ X0 @ X1 @ X0 @ X2 )
| ~ ( s_m @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[d_Defn7_1]) ).
thf(zip_derived_cl1573,plain,
! [X0: $i,X1: $i] : ( s_e @ X1 @ X0 @ X1 @ ( s @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl163]) ).
thf(aSatz7_19,conjecture,
! [Xa: $i,Xb: $i,Xp: $i] :
( ( Xa = Xb )
| ( ( s @ Xa @ ( s @ Xb @ Xp ) )
!= ( s @ Xb @ ( s @ Xa @ Xp ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xa: $i,Xb: $i,Xp: $i] :
( ( Xa = Xb )
| ( ( s @ Xa @ ( s @ Xb @ Xp ) )
!= ( s @ Xb @ ( s @ Xa @ Xp ) ) ) ),
inference('cnf.neg',[status(esa)],[aSatz7_19]) ).
thf(zip_derived_cl124,plain,
( ( s @ sk_ @ ( s @ sk__1 @ sk__2 ) )
= ( s @ sk__1 @ ( s @ sk_ @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(aSatz7_7,axiom,
! [Xa: $i,Xp: $i] :
( ( s @ Xa @ ( s @ Xa @ Xp ) )
= Xp ) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i] :
( ( s @ X1 @ ( s @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[aSatz7_7]) ).
thf(zip_derived_cl1090,plain,
( ( s @ sk__1 @ ( s @ sk_ @ ( s @ sk__1 @ sk__2 ) ) )
= ( s @ sk_ @ sk__2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl124,zip_derived_cl112]) ).
thf(aSatz7_16a,axiom,
! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i,Xa: $i] :
( ( s_e @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) @ ( s @ Xa @ Xcs ) )
| ~ ( s_e @ Xp @ Xq @ Xr @ Xcs ) ) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( s_e @ X0 @ X1 @ X2 @ X3 )
| ( s_e @ ( s @ X4 @ X0 ) @ ( s @ X4 @ X1 ) @ ( s @ X4 @ X2 ) @ ( s @ X4 @ X3 ) ) ),
inference(cnf,[status(esa)],[aSatz7_16a]) ).
thf(zip_derived_cl2039,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( s_e @ X2 @ X1 @ X0 @ ( s @ sk_ @ ( s @ sk__1 @ sk__2 ) ) )
| ( s_e @ ( s @ sk__1 @ X2 ) @ ( s @ sk__1 @ X1 ) @ ( s @ sk__1 @ X0 ) @ ( s @ sk_ @ sk__2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1090,zip_derived_cl120]) ).
thf(zip_derived_cl164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s_m @ X0 @ X1 @ X2 )
| ~ ( s_e @ X1 @ X0 @ X1 @ X2 )
| ~ ( s_t @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d_Defn7_1]) ).
thf(zip_derived_cl3962,plain,
! [X0: $i,X1: $i] :
( ~ ( s_e @ X0 @ X1 @ X0 @ ( s @ sk_ @ ( s @ sk__1 @ sk__2 ) ) )
| ( s_m @ ( s @ sk__1 @ X1 ) @ ( s @ sk__1 @ X0 ) @ ( s @ sk_ @ sk__2 ) )
| ~ ( s_t @ ( s @ sk__1 @ X1 ) @ ( s @ sk__1 @ X0 ) @ ( s @ sk_ @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2039,zip_derived_cl164]) ).
thf(zip_derived_cl49271,plain,
( ( s_m @ ( s @ sk__1 @ ( s @ sk__1 @ sk__2 ) ) @ ( s @ sk__1 @ sk_ ) @ ( s @ sk_ @ sk__2 ) )
| ~ ( s_t @ ( s @ sk__1 @ ( s @ sk__1 @ sk__2 ) ) @ ( s @ sk__1 @ sk_ ) @ ( s @ sk_ @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1573,zip_derived_cl3962]) ).
thf(zip_derived_cl112_001,plain,
! [X0: $i,X1: $i] :
( ( s @ X1 @ ( s @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[aSatz7_7]) ).
thf(zip_derived_cl112_002,plain,
! [X0: $i,X1: $i] :
( ( s @ X1 @ ( s @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[aSatz7_7]) ).
thf(zip_derived_cl109_003,plain,
! [X0: $i,X1: $i] : ( s_m @ X0 @ X1 @ ( s @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[aSatz7_4a]) ).
thf(zip_derived_cl162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s_t @ X0 @ X1 @ X2 )
| ~ ( s_m @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d_Defn7_1]) ).
thf(zip_derived_cl1549,plain,
! [X0: $i,X1: $i] : ( s_t @ X0 @ X1 @ ( s @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl162]) ).
thf(zip_derived_cl112_004,plain,
! [X0: $i,X1: $i] :
( ( s @ X1 @ ( s @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[aSatz7_7]) ).
thf(zip_derived_cl1090_005,plain,
( ( s @ sk__1 @ ( s @ sk_ @ ( s @ sk__1 @ sk__2 ) ) )
= ( s @ sk_ @ sk__2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl124,zip_derived_cl112]) ).
thf(aSatz7_15a,axiom,
! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( s_t @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) )
| ~ ( s_t @ Xp @ Xq @ Xr ) ) ).
thf(zip_derived_cl118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( s_t @ X0 @ X1 @ X2 )
| ( s_t @ ( s @ X3 @ X0 ) @ ( s @ X3 @ X1 ) @ ( s @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[aSatz7_15a]) ).
thf(zip_derived_cl1963,plain,
! [X0: $i,X1: $i] :
( ~ ( s_t @ X1 @ X0 @ ( s @ sk_ @ ( s @ sk__1 @ sk__2 ) ) )
| ( s_t @ ( s @ sk__1 @ X1 ) @ ( s @ sk__1 @ X0 ) @ ( s @ sk_ @ sk__2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1090,zip_derived_cl118]) ).
thf(zip_derived_cl3147,plain,
! [X0: $i,X1: $i] :
( ~ ( s_t @ ( s @ sk__1 @ X0 ) @ X1 @ ( s @ sk_ @ ( s @ sk__1 @ sk__2 ) ) )
| ( s_t @ X0 @ ( s @ sk__1 @ X1 ) @ ( s @ sk_ @ sk__2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl112,zip_derived_cl1963]) ).
thf(zip_derived_cl22061,plain,
s_t @ sk__2 @ ( s @ sk__1 @ sk_ ) @ ( s @ sk_ @ sk__2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl3147]) ).
thf(zip_derived_cl49321,plain,
s_m @ sk__2 @ ( s @ sk__1 @ sk_ ) @ ( s @ sk_ @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl49271,zip_derived_cl112,zip_derived_cl112,zip_derived_cl22061]) ).
thf(zip_derived_cl109_006,plain,
! [X0: $i,X1: $i] : ( s_m @ X0 @ X1 @ ( s @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[aSatz7_4a]) ).
thf(aSatz7_17,axiom,
! [Xp: $i,Xa: $i,Xq: $i,Xb: $i] :
( ( Xa = Xb )
| ~ ( s_m @ Xp @ Xb @ Xq )
| ~ ( s_m @ Xp @ Xa @ Xq ) ) ).
thf(zip_derived_cl122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( s_m @ X0 @ X1 @ X2 )
| ~ ( s_m @ X0 @ X3 @ X2 )
| ( X1 = X3 ) ),
inference(cnf,[status(esa)],[aSatz7_17]) ).
thf(zip_derived_cl1664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( s_m @ X0 @ X2 @ ( s @ X1 @ X0 ) )
| ( X1 = X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl122]) ).
thf(zip_derived_cl50715,plain,
( sk_
= ( s @ sk__1 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl49321,zip_derived_cl1664]) ).
thf(zip_derived_cl112_007,plain,
! [X0: $i,X1: $i] :
( ( s @ X1 @ ( s @ X1 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[aSatz7_7]) ).
thf(aSatz7_10a,axiom,
! [Xa: $i,Xp: $i] :
( ( Xp = Xa )
| ( ( s @ Xa @ Xp )
!= Xp ) ) ).
thf(zip_derived_cl115,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( ( s @ X0 @ X1 )
!= X1 ) ),
inference(cnf,[status(esa)],[aSatz7_10a]) ).
thf(zip_derived_cl1080,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X1 @ X0 )
= X1 )
| ( X0
!= ( s @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl115]) ).
thf(zip_derived_cl50855,plain,
( ( sk_ = sk__1 )
| ( sk_ != sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50715,zip_derived_cl1080]) ).
thf(zip_derived_cl51713,plain,
sk_ = sk__1,
inference(simplify,[status(thm)],[zip_derived_cl50855]) ).
thf(zip_derived_cl125,plain,
sk_ != sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51714,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl51713,zip_derived_cl125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GEO500+1 : TPTP v8.1.2. Released v7.0.0.
% 0.09/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.epE4MWxnHU true
% 0.15/0.37 % Computer : n004.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 21:49:07 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38 % Number of cores: 8
% 0.15/0.38 % Python version: Python 3.6.8
% 0.15/0.38 % Running in FO mode
% 0.23/0.70 % Total configuration time : 435
% 0.23/0.70 % Estimated wc time : 1092
% 0.23/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 109.81/16.32 % Solved by fo/fo6_bce.sh.
% 109.81/16.32 % BCE start: 172
% 109.81/16.32 % BCE eliminated: 0
% 109.81/16.32 % PE start: 172
% 109.81/16.32 logic: eq
% 109.81/16.32 % PE eliminated: 28
% 109.81/16.32 % done 5224 iterations in 15.567s
% 109.81/16.32 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 109.81/16.32 % SZS output start Refutation
% See solution above
% 109.81/16.32
% 109.81/16.32
% 109.81/16.32 % Terminating...
% 110.60/16.43 % Runner terminated.
% 110.60/16.45 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------