TSTP Solution File: GEO502+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO502+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.PADRzao5pF true
% Computer : n021.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 24.69s 4.19s
% Output : Refutation 24.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 58 ( 19 unt; 12 typ; 0 def)
% Number of atoms : 125 ( 27 equ; 0 cnn)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 555 ( 76 ~; 73 |; 6 &; 400 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 8 con; 0-7 aty)
% Number of variables : 108 ( 0 ^; 108 !; 0 ?; 108 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__type,type,
sk_: $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__6_type,type,
sk__6: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(s_t_type,type,
s_t: $i > $i > $i > $o ).
thf(s_kf_type,type,
s_kf: $i > $i > $i > $i > $i > $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
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(aSatz7_22,conjecture,
! [Xa1: $i,Xc: $i,Xa2: $i,Xb1: $i,Xb2: $i,Xm1: $i,Xm2: $i] :
( ( s_t @ Xm1 @ Xc @ Xm2 )
| ~ ( s_m @ Xa2 @ Xm2 @ Xb2 )
| ~ ( s_m @ Xa1 @ Xm1 @ Xb1 )
| ~ ( s_e @ Xc @ Xa2 @ Xc @ Xb2 )
| ~ ( s_e @ Xc @ Xa1 @ Xc @ Xb1 )
| ~ ( s_t @ Xb1 @ Xc @ Xb2 )
| ~ ( s_t @ Xa1 @ Xc @ Xa2 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xa1: $i,Xc: $i,Xa2: $i,Xb1: $i,Xb2: $i,Xm1: $i,Xm2: $i] :
( ( s_t @ Xm1 @ Xc @ Xm2 )
| ~ ( s_m @ Xa2 @ Xm2 @ Xb2 )
| ~ ( s_m @ Xa1 @ Xm1 @ Xb1 )
| ~ ( s_e @ Xc @ Xa2 @ Xc @ Xb2 )
| ~ ( s_e @ Xc @ Xa1 @ Xc @ Xb1 )
| ~ ( s_t @ Xb1 @ Xc @ Xb2 )
| ~ ( s_t @ Xa1 @ Xc @ Xa2 ) ),
inference('cnf.neg',[status(esa)],[aSatz7_22]) ).
thf(zip_derived_cl130,plain,
s_m @ sk__2 @ sk__6 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(aSatz7_6,axiom,
! [Xp: $i,Xa: $i,Xq: $i] :
( ( Xq
= ( s @ Xa @ Xp ) )
| ~ ( s_m @ Xp @ Xa @ Xq ) ) ).
thf(zip_derived_cl111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( s @ X0 @ X1 ) )
| ~ ( s_m @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[aSatz7_6]) ).
thf(zip_derived_cl1176,plain,
( sk__4
= ( s @ sk__6 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl111]) ).
thf(aSatz7_9,axiom,
! [Xa: $i,Xp: $i,Xq: $i] :
( ( Xp = Xq )
| ( ( s @ Xa @ Xp )
!= ( s @ Xa @ Xq ) ) ) ).
thf(zip_derived_cl114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( ( s @ X2 @ X1 )
!= ( s @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[aSatz7_9]) ).
thf(zip_derived_cl1237,plain,
! [X0: $i] :
( ( X0 = sk__2 )
| ( ( s @ sk__6 @ X0 )
!= sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1176,zip_derived_cl114]) ).
thf(zip_derived_cl1959,plain,
! [X0: $i] :
( ( ( s @ sk__6 @ X0 )
= sk__2 )
| ( X0 != sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl1237]) ).
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(aSatz7_2,axiom,
! [Xa: $i,Xm: $i,Xb: $i] :
( ( s_m @ Xb @ Xm @ Xa )
| ~ ( s_m @ Xa @ Xm @ Xb ) ) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s_m @ X0 @ X1 @ X2 )
| ~ ( s_m @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[aSatz7_2]) ).
thf(zip_derived_cl1848,plain,
! [X0: $i,X1: $i] : ( s_m @ ( s @ X1 @ X0 ) @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl106]) ).
thf(zip_derived_cl3157,plain,
! [X0: $i] :
( ( X0 != sk__4 )
| ( s_m @ sk__2 @ sk__6 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1959,zip_derived_cl1848]) ).
thf(zip_derived_cl132,plain,
s_t @ sk__3 @ sk__1 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl135,plain,
s_m @ sk_ @ sk__5 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl106_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s_m @ X0 @ X1 @ X2 )
| ~ ( s_m @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[aSatz7_2]) ).
thf(zip_derived_cl1734,plain,
s_m @ sk__3 @ sk__5 @ sk_,
inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl106]) ).
thf(zip_derived_cl111_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( s @ X0 @ X1 ) )
| ~ ( s_m @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[aSatz7_6]) ).
thf(zip_derived_cl1742,plain,
( sk_
= ( s @ sk__5 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1734,zip_derived_cl111]) ).
thf(zip_derived_cl114_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( ( s @ X2 @ X1 )
!= ( s @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[aSatz7_9]) ).
thf(zip_derived_cl1751,plain,
! [X0: $i] :
( ( X0 = sk__3 )
| ( ( s @ sk__5 @ X0 )
!= sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1742,zip_derived_cl114]) ).
thf(zip_derived_cl1958,plain,
! [X0: $i] :
( ( ( s @ sk__5 @ X0 )
= sk__3 )
| ( X0 != sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl1751]) ).
thf(zip_derived_cl109_005,plain,
! [X0: $i,X1: $i] : ( s_m @ X0 @ X1 @ ( s @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[aSatz7_4a]) ).
thf(zip_derived_cl2819,plain,
! [X0: $i] :
( ( X0 != sk_ )
| ( s_m @ X0 @ sk__5 @ sk__3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1958,zip_derived_cl109]) ).
thf(zip_derived_cl133,plain,
s_e @ sk__1 @ sk_ @ sk__1 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d_Defn7_23,axiom,
! [Xa1: $i,Xm1: $i,Xb1: $i,Xc: $i,Xb2: $i,Xm2: $i,Xa2: $i] :
( ( ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ~ ( s_m @ Xa2 @ Xm2 @ Xb2 )
| ~ ( s_m @ Xa1 @ Xm1 @ Xb1 )
| ~ ( s_e @ Xc @ Xa2 @ Xc @ Xb2 )
| ~ ( s_e @ Xc @ Xa1 @ Xc @ Xb1 )
| ~ ( s_t @ Xb1 @ Xc @ Xb2 )
| ~ ( s_t @ Xa1 @ Xc @ Xa2 ) )
& ( ( s_m @ Xa2 @ Xm2 @ Xb2 )
| ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 ) )
& ( ( s_m @ Xa1 @ Xm1 @ Xb1 )
| ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 ) )
& ( ( s_e @ Xc @ Xa2 @ Xc @ Xb2 )
| ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 ) )
& ( ( s_e @ Xc @ Xa1 @ Xc @ Xb1 )
| ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 ) )
& ( ( s_t @ Xb1 @ Xc @ Xb2 )
| ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 ) )
& ( ( s_t @ Xa1 @ Xc @ Xa2 )
| ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 ) ) ) ).
thf(zip_derived_cl181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( s_kf @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 )
| ~ ( s_m @ X6 @ X5 @ X4 )
| ~ ( s_m @ X0 @ X1 @ X2 )
| ~ ( s_e @ X3 @ X6 @ X3 @ X4 )
| ~ ( s_e @ X3 @ X0 @ X3 @ X2 )
| ~ ( s_t @ X2 @ X3 @ X4 )
| ~ ( s_t @ X0 @ X3 @ X6 ) ),
inference(cnf,[status(esa)],[d_Defn7_23]) ).
thf(aSatz7_22b,axiom,
! [Xa1: $i,Xm1: $i,Xb1: $i,Xc: $i,Xb2: $i,Xm2: $i,Xa2: $i] :
( ( s_t @ Xm1 @ Xc @ Xm2 )
| ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 ) ) ).
thf(zip_derived_cl128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( s_t @ X0 @ X1 @ X2 )
| ~ ( s_kf @ X3 @ X0 @ X4 @ X1 @ X5 @ X2 @ X6 ) ),
inference(cnf,[status(esa)],[aSatz7_22b]) ).
thf(zip_derived_cl1061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( s_t @ X6 @ X3 @ X0 )
| ~ ( s_t @ X4 @ X3 @ X2 )
| ~ ( s_e @ X3 @ X6 @ X3 @ X4 )
| ~ ( s_e @ X3 @ X0 @ X3 @ X2 )
| ~ ( s_m @ X6 @ X5 @ X4 )
| ~ ( s_m @ X0 @ X1 @ X2 )
| ( s_t @ X5 @ X3 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl181,zip_derived_cl128]) ).
thf(zip_derived_cl2780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( s_t @ sk_ @ sk__1 @ X0 )
| ~ ( s_t @ sk__3 @ sk__1 @ X1 )
| ~ ( s_e @ sk__1 @ X0 @ sk__1 @ X1 )
| ~ ( s_m @ sk_ @ X2 @ sk__3 )
| ~ ( s_m @ X0 @ X3 @ X1 )
| ( s_t @ X2 @ sk__1 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl1061]) ).
thf(zip_derived_cl15615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk_ != sk_ )
| ~ ( s_t @ sk_ @ sk__1 @ X0 )
| ~ ( s_t @ sk__3 @ sk__1 @ X1 )
| ~ ( s_e @ sk__1 @ X0 @ sk__1 @ X1 )
| ~ ( s_m @ X0 @ X2 @ X1 )
| ( s_t @ sk__5 @ sk__1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2819,zip_derived_cl2780]) ).
thf(zip_derived_cl15620,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s_t @ sk__5 @ sk__1 @ X2 )
| ~ ( s_m @ X0 @ X2 @ X1 )
| ~ ( s_e @ sk__1 @ X0 @ sk__1 @ X1 )
| ~ ( s_t @ sk__3 @ sk__1 @ X1 )
| ~ ( s_t @ sk_ @ sk__1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl15615]) ).
thf(zip_derived_cl15634,plain,
! [X0: $i,X1: $i] :
( ( s_t @ sk__5 @ sk__1 @ X0 )
| ~ ( s_m @ X1 @ X0 @ sk__4 )
| ~ ( s_e @ sk__1 @ X1 @ sk__1 @ sk__4 )
| ~ ( s_t @ sk_ @ sk__1 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl15620]) ).
thf(zip_derived_cl15692,plain,
( ( sk__4 != sk__4 )
| ( s_t @ sk__5 @ sk__1 @ sk__6 )
| ~ ( s_e @ sk__1 @ sk__2 @ sk__1 @ sk__4 )
| ~ ( s_t @ sk_ @ sk__1 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3157,zip_derived_cl15634]) ).
thf(zip_derived_cl129,plain,
~ ( s_t @ sk__5 @ sk__1 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl134,plain,
s_e @ sk__1 @ sk__2 @ sk__1 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131,plain,
s_t @ sk_ @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15699,plain,
sk__4 != sk__4,
inference(demod,[status(thm)],[zip_derived_cl15692,zip_derived_cl129,zip_derived_cl134,zip_derived_cl131]) ).
thf(zip_derived_cl15700,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl15699]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO502+1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PADRzao5pF true
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 21:19:29 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.46/0.65 % Total configuration time : 435
% 0.46/0.65 % Estimated wc time : 1092
% 0.46/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 24.69/4.19 % Solved by fo/fo6_bce.sh.
% 24.69/4.19 % BCE start: 182
% 24.69/4.19 % BCE eliminated: 0
% 24.69/4.19 % PE start: 182
% 24.69/4.19 logic: eq
% 24.69/4.19 % PE eliminated: 28
% 24.69/4.19 % done 2430 iterations in 3.447s
% 24.69/4.19 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 24.69/4.19 % SZS output start Refutation
% See solution above
% 24.69/4.19
% 24.69/4.19
% 24.69/4.19 % Terminating...
% 24.69/4.27 % Runner terminated.
% 24.69/4.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------