TSTP Solution File: GEO531+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO531+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.qjCrGRsbsH 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 23:59:01 EDT 2023
% Result : Theorem 0.60s 0.98s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 10 unt; 7 typ; 0 def)
% Number of atoms : 82 ( 11 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 382 ( 57 ~; 52 |; 3 &; 270 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-6 aty)
% Number of variables : 74 ( 0 ^; 74 !; 0 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(s_e_type,type,
s_e: $i > $i > $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(congruent_type,type,
congruent: $i > $i > $i > $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sameside_type,type,
sameside: $i > $i > $i > $o ).
thf(s_e3_type,type,
s_e3: $i > $i > $i > $i > $i > $i > $o ).
thf(aSatz6_5,axiom,
! [Xa: $i,Xp: $i] :
( ( sameside @ Xa @ Xp @ Xa )
| ( Xa = Xp ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ( sameside @ X0 @ X1 @ X0 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[aSatz6_5]) ).
thf(zip_derived_cl34_001,plain,
! [X0: $i,X1: $i] :
( ( sameside @ X0 @ X1 @ X0 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[aSatz6_5]) ).
thf(aSatz2_1,axiom,
! [Xa: $i,Xb: $i] : ( s_e @ Xa @ Xb @ Xa @ Xb ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] : ( s_e @ X0 @ X1 @ X0 @ X1 ),
inference(cnf,[status(esa)],[aSatz2_1]) ).
thf(zip_derived_cl6_002,plain,
! [X0: $i,X1: $i] : ( s_e @ X0 @ X1 @ X0 @ X1 ),
inference(cnf,[status(esa)],[aSatz2_1]) ).
thf(d_Defn4_4,axiom,
! [Xa1: $i,Xa2: $i,Xa3: $i,Xb1: $i,Xb2: $i,Xb3: $i] :
( ( ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 )
| ~ ( s_e @ Xa2 @ Xa3 @ Xb2 @ Xb3 )
| ~ ( s_e @ Xa1 @ Xa3 @ Xb1 @ Xb3 )
| ~ ( s_e @ Xa1 @ Xa2 @ Xb1 @ Xb2 ) )
& ( ( s_e @ Xa2 @ Xa3 @ Xb2 @ Xb3 )
| ~ ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 ) )
& ( ( s_e @ Xa1 @ Xa3 @ Xb1 @ Xb3 )
| ~ ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 ) )
& ( ( s_e @ Xa1 @ Xa2 @ Xb1 @ Xb2 )
| ~ ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 ) ) ) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( s_e3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 )
| ~ ( s_e @ X1 @ X2 @ X4 @ X5 )
| ~ ( s_e @ X0 @ X2 @ X3 @ X5 )
| ~ ( s_e @ X0 @ X1 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[d_Defn4_4]) ).
thf(aSatz11_3d,axiom,
! [Xa1: $i,Xb: $i,Xa: $i,Xc1: $i,Xc: $i,Xd1: $i,Xe: $i,Xd: $i,Xf1: $i,Xf: $i] :
( ( congruent @ Xa @ Xb @ Xc @ Xd @ Xe @ Xf )
| ~ ( s_e3 @ Xa1 @ Xb @ Xc1 @ Xd1 @ Xe @ Xf1 )
| ~ ( sameside @ Xf1 @ Xe @ Xf )
| ~ ( sameside @ Xd1 @ Xe @ Xd )
| ~ ( sameside @ Xc1 @ Xb @ Xc )
| ~ ( sameside @ Xa1 @ Xb @ Xa ) ) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( s_e3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 )
| ~ ( sameside @ X3 @ X4 @ X6 )
| ~ ( sameside @ X2 @ X1 @ X7 )
| ~ ( sameside @ X0 @ X1 @ X8 )
| ~ ( sameside @ X5 @ X4 @ X9 )
| ( congruent @ X8 @ X1 @ X7 @ X6 @ X4 @ X9 ) ),
inference(cnf,[status(esa)],[aSatz11_3d]) ).
thf(aSatz11_6,conjecture,
! [Xa: $i,Xb: $i,Xc: $i] :
( ( congruent @ Xa @ Xb @ Xc @ Xa @ Xb @ Xc )
| ( Xc = Xb )
| ( Xa = Xb ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xa: $i,Xb: $i,Xc: $i] :
( ( congruent @ Xa @ Xb @ Xc @ Xa @ Xb @ Xc )
| ( Xc = Xb )
| ( Xa = Xb ) ),
inference('cnf.neg',[status(esa)],[aSatz11_6]) ).
thf(zip_derived_cl84,plain,
~ ( congruent @ sk_ @ sk__1 @ sk__2 @ sk_ @ sk__1 @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sameside @ X0 @ sk__1 @ sk__2 )
| ~ ( sameside @ X3 @ sk__1 @ sk_ )
| ~ ( sameside @ X2 @ sk__1 @ sk__2 )
| ~ ( sameside @ X1 @ sk__1 @ sk_ )
| ~ ( s_e3 @ X3 @ sk__1 @ X2 @ X1 @ sk__1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl71,zip_derived_cl84]) ).
thf(zip_derived_cl1004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( s_e @ X3 @ sk__1 @ X1 @ sk__1 )
| ~ ( s_e @ X3 @ X2 @ X1 @ X0 )
| ~ ( s_e @ sk__1 @ X2 @ sk__1 @ X0 )
| ~ ( sameside @ X1 @ sk__1 @ sk_ )
| ~ ( sameside @ X2 @ sk__1 @ sk__2 )
| ~ ( sameside @ X3 @ sk__1 @ sk_ )
| ~ ( sameside @ X0 @ sk__1 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl614]) ).
thf(zip_derived_cl1046,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sameside @ X1 @ sk__1 @ sk__2 )
| ~ ( sameside @ X0 @ sk__1 @ sk_ )
| ~ ( sameside @ X2 @ sk__1 @ sk__2 )
| ~ ( sameside @ X0 @ sk__1 @ sk_ )
| ~ ( s_e @ sk__1 @ X2 @ sk__1 @ X1 )
| ~ ( s_e @ X0 @ X2 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1004]) ).
thf(zip_derived_cl1057,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( s_e @ X0 @ X2 @ X0 @ X1 )
| ~ ( s_e @ sk__1 @ X2 @ sk__1 @ X1 )
| ~ ( sameside @ X2 @ sk__1 @ sk__2 )
| ~ ( sameside @ X0 @ sk__1 @ sk_ )
| ~ ( sameside @ X1 @ sk__1 @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1046]) ).
thf(zip_derived_cl1230,plain,
! [X0: $i,X1: $i] :
( ~ ( sameside @ X0 @ sk__1 @ sk__2 )
| ~ ( sameside @ X1 @ sk__1 @ sk_ )
| ~ ( sameside @ X0 @ sk__1 @ sk__2 )
| ~ ( s_e @ sk__1 @ X0 @ sk__1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1057]) ).
thf(zip_derived_cl6_003,plain,
! [X0: $i,X1: $i] : ( s_e @ X0 @ X1 @ X0 @ X1 ),
inference(cnf,[status(esa)],[aSatz2_1]) ).
thf(zip_derived_cl1241,plain,
! [X0: $i,X1: $i] :
( ~ ( sameside @ X0 @ sk__1 @ sk__2 )
| ~ ( sameside @ X1 @ sk__1 @ sk_ )
| ~ ( sameside @ X0 @ sk__1 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1230,zip_derived_cl6]) ).
thf(zip_derived_cl1242,plain,
! [X0: $i,X1: $i] :
( ~ ( sameside @ X1 @ sk__1 @ sk_ )
| ~ ( sameside @ X0 @ sk__1 @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1241]) ).
thf(zip_derived_cl1254,plain,
! [X0: $i] :
( ( sk_ = sk__1 )
| ~ ( sameside @ X0 @ sk__1 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl1242]) ).
thf(zip_derived_cl86,plain,
sk_ != sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1255,plain,
! [X0: $i] :
~ ( sameside @ X0 @ sk__1 @ sk__2 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1254,zip_derived_cl86]) ).
thf(zip_derived_cl1259,plain,
sk__2 = sk__1,
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl1255]) ).
thf(zip_derived_cl85,plain,
sk__2 != sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1260,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1259,zip_derived_cl85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO531+1 : TPTP v8.1.2. Released v7.0.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qjCrGRsbsH true
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 21:46:14 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.56/0.67 % Total configuration time : 435
% 0.56/0.67 % Estimated wc time : 1092
% 0.56/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.60/0.98 % Solved by fo/fo3_bce.sh.
% 0.60/0.98 % BCE start: 87
% 0.60/0.98 % BCE eliminated: 5
% 0.60/0.98 % PE start: 82
% 0.60/0.98 logic: eq
% 0.60/0.98 % PE eliminated: 2
% 0.60/0.98 % done 167 iterations in 0.215s
% 0.60/0.98 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.98 % SZS output start Refutation
% See solution above
% 0.60/0.98
% 0.60/0.98
% 0.60/0.98 % Terminating...
% 1.80/1.08 % Runner terminated.
% 1.80/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------