TSTP Solution File: GRP710+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP710+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.erMXSFJJ44 true
% Computer : n005.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 01:53:03 EDT 2023
% Result : Theorem 1.34s 0.88s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 54 ( 41 unt; 7 typ; 0 def)
% Number of atoms : 53 ( 52 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 325 ( 13 ~; 4 |; 2 &; 306 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 90 ( 0 ^; 86 !; 4 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(unit_type,type,
unit: $i ).
thf(mult_type,type,
mult: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(i_type,type,
i: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(f05,axiom,
! [A: $i] :
( ( mult @ ( i @ A ) @ A )
= unit ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( mult @ ( i @ X0 ) @ X0 )
= unit ),
inference(cnf,[status(esa)],[f05]) ).
thf(f03,axiom,
! [C: $i,B: $i,A: $i] :
( ( mult @ A @ ( mult @ B @ ( mult @ B @ C ) ) )
= ( mult @ ( mult @ ( mult @ A @ B ) @ B ) @ C ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X0 @ ( mult @ X1 @ ( mult @ X1 @ X2 ) ) )
= ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( i @ X1 ) @ ( mult @ X1 @ ( mult @ X1 @ X0 ) ) )
= ( mult @ ( mult @ unit @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
thf(f02,axiom,
! [A: $i] :
( ( mult @ unit @ A )
= A ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( mult @ unit @ X0 )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( i @ X1 ) @ ( mult @ X1 @ ( mult @ X1 @ X0 ) ) )
= ( mult @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl1]) ).
thf(f04,axiom,
! [A: $i] :
( ( mult @ A @ ( i @ A ) )
= unit ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( mult @ X0 @ ( i @ X0 ) )
= unit ),
inference(cnf,[status(esa)],[f04]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X0 @ ( mult @ X1 @ ( mult @ X1 @ X2 ) ) )
= ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( mult @ ( i @ X1 ) @ ( mult @ ( i @ X1 ) @ X0 ) ) )
= ( mult @ ( mult @ unit @ ( i @ X1 ) ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).
thf(zip_derived_cl1_002,plain,
! [X0: $i] :
( ( mult @ unit @ X0 )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( mult @ ( i @ X1 ) @ ( mult @ ( i @ X1 ) @ X0 ) ) )
= ( mult @ ( i @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl1]) ).
thf(zip_derived_cl150,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( mult @ ( i @ X1 ) @ ( mult @ X1 @ X0 ) ) )
= ( mult @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl22]) ).
thf(zip_derived_cl4_003,plain,
! [X0: $i] :
( ( mult @ ( i @ X0 ) @ X0 )
= unit ),
inference(cnf,[status(esa)],[f05]) ).
thf(zip_derived_cl2_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X0 @ ( mult @ X1 @ ( mult @ X1 @ X2 ) ) )
= ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[f03]) ).
thf(zip_derived_cl2_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X0 @ ( mult @ X1 @ ( mult @ X1 @ X2 ) ) )
= ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[f03]) ).
thf(f01,axiom,
! [A: $i] :
( ( mult @ A @ unit )
= A ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( mult @ X0 @ unit )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( mult @ X0 @ ( mult @ X0 @ unit ) ) )
= ( mult @ ( mult @ X1 @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl0_006,plain,
! [X0: $i] :
( ( mult @ X0 @ unit )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( mult @ X0 @ X0 ) )
= ( mult @ ( mult @ X1 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X0 @ ( mult @ X1 @ ( mult @ X1 @ X2 ) ) )
= ( mult @ ( mult @ X0 @ ( mult @ X1 @ X1 ) ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl26]) ).
thf(zip_derived_cl687,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( i @ ( mult @ X1 @ X1 ) ) @ ( mult @ X1 @ ( mult @ X1 @ X0 ) ) )
= ( mult @ unit @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl92]) ).
thf(zip_derived_cl1_007,plain,
! [X0: $i] :
( ( mult @ unit @ X0 )
= X0 ),
inference(cnf,[status(esa)],[f02]) ).
thf(zip_derived_cl703,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( i @ ( mult @ X1 @ X1 ) ) @ ( mult @ X1 @ ( mult @ X1 @ X0 ) ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl687,zip_derived_cl1]) ).
thf(zip_derived_cl844,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( i @ ( mult @ X1 @ X1 ) ) @ ( mult @ X1 @ ( mult @ X1 @ X0 ) ) )
= ( mult @ ( i @ X1 ) @ ( mult @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl150,zip_derived_cl703]) ).
thf(zip_derived_cl703_008,plain,
! [X0: $i,X1: $i] :
( ( mult @ ( i @ ( mult @ X1 @ X1 ) ) @ ( mult @ X1 @ ( mult @ X1 @ X0 ) ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl687,zip_derived_cl1]) ).
thf(zip_derived_cl872,plain,
! [X0: $i,X1: $i] :
( X0
= ( mult @ ( i @ X1 ) @ ( mult @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl844,zip_derived_cl703]) ).
thf(zip_derived_cl92_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( mult @ X0 @ ( mult @ X1 @ ( mult @ X1 @ X2 ) ) )
= ( mult @ ( mult @ X0 @ ( mult @ X1 @ X1 ) ) @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl26]) ).
thf(zip_derived_cl872_010,plain,
! [X0: $i,X1: $i] :
( X0
= ( mult @ ( i @ X1 ) @ ( mult @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl844,zip_derived_cl703]) ).
thf(zip_derived_cl26_011,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( mult @ X0 @ X0 ) )
= ( mult @ ( mult @ X1 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).
thf(zip_derived_cl22_012,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( mult @ ( i @ X1 ) @ ( mult @ ( i @ X1 ) @ X0 ) ) )
= ( mult @ ( i @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl1]) ).
thf(goals,conjecture,
( ! [X0: $i,X1: $i] :
? [X2: $i] :
( ( mult @ X0 @ X2 )
= X1 )
& ! [X3: $i,X4: $i] :
? [X5: $i] :
( ( mult @ X5 @ X4 )
= X3 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [X0: $i,X1: $i] :
? [X2: $i] :
( ( mult @ X0 @ X2 )
= X1 )
& ! [X3: $i,X4: $i] :
? [X5: $i] :
( ( mult @ X5 @ X4 )
= X3 ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( ( mult @ sk_ @ X0 )
!= sk__1 )
| ( ( mult @ X1 @ sk__3 )
!= sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126,plain,
! [X0: $i,X1: $i] :
( ( ( mult @ ( i @ sk_ ) @ X0 )
!= sk__1 )
| ( ( mult @ X1 @ sk__3 )
!= sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl5]) ).
thf(zip_derived_cl142,plain,
! [X0: $i,X1: $i] :
( ( ( mult @ ( i @ sk_ ) @ X1 )
!= sk__1 )
| ( ( mult @ X0 @ ( mult @ sk__3 @ sk__3 ) )
!= sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl126]) ).
thf(zip_derived_cl904,plain,
! [X0: $i,X1: $i] :
( ( X0 != sk__1 )
| ( ( mult @ X1 @ ( mult @ sk__3 @ sk__3 ) )
!= sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl872,zip_derived_cl142]) ).
thf(zip_derived_cl937,plain,
! [X0: $i] :
( ( mult @ X0 @ ( mult @ sk__3 @ sk__3 ) )
!= sk__2 ),
inference(eq_res,[status(thm)],[zip_derived_cl904]) ).
thf(zip_derived_cl942,plain,
! [X0: $i,X1: $i] :
( ( mult @ X1 @ ( mult @ X0 @ ( mult @ X0 @ ( mult @ sk__3 @ sk__3 ) ) ) )
!= sk__2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl937]) ).
thf(zip_derived_cl1140,plain,
! [X0: $i] :
( ( mult @ X0 @ ( mult @ ( i @ sk__3 ) @ sk__3 ) )
!= sk__2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl872,zip_derived_cl942]) ).
thf(zip_derived_cl4_013,plain,
! [X0: $i] :
( ( mult @ ( i @ X0 ) @ X0 )
= unit ),
inference(cnf,[status(esa)],[f05]) ).
thf(zip_derived_cl0_014,plain,
! [X0: $i] :
( ( mult @ X0 @ unit )
= X0 ),
inference(cnf,[status(esa)],[f01]) ).
thf(zip_derived_cl1154,plain,
! [X0: $i] : ( X0 != sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl1140,zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl1155,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl1154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP710+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.erMXSFJJ44 true
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 22:48:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.63 % Total configuration time : 435
% 0.22/0.63 % Estimated wc time : 1092
% 0.22/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.88 % Solved by fo/fo6_bce.sh.
% 1.34/0.88 % BCE start: 6
% 1.34/0.88 % BCE eliminated: 0
% 1.34/0.88 % PE start: 6
% 1.34/0.88 logic: eq
% 1.34/0.88 % PE eliminated: 0
% 1.34/0.88 % done 211 iterations in 0.160s
% 1.34/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.34/0.88 % SZS output start Refutation
% See solution above
% 1.34/0.88
% 1.34/0.88
% 1.34/0.88 % Terminating...
% 1.56/0.96 % Runner terminated.
% 1.56/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------