TSTP Solution File: ITP012+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP012+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nYxJez9JmK true
% Computer : n022.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 05:21:06 EDT 2023
% Result : Theorem 56.98s 8.72s
% Output : Refutation 56.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of formulae : 26 ( 7 unt; 11 typ; 0 def)
% Number of atoms : 23 ( 14 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 372 ( 8 ~; 4 |; 1 &; 356 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(s_type,type,
s: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__type,type,
sk_: $i ).
thf(c_2Einteger_2Eint__neg_2E1_type,type,
c_2Einteger_2Eint__neg_2E1: $i > $i ).
thf(c_2Einteger_2Eint__divides_2E2_type,type,
c_2Einteger_2Eint__divides_2E2: $i > $i > $i ).
thf(c_2Einteger_2Eint__add_2E2_type,type,
c_2Einteger_2Eint__add_2E2: $i > $i > $i ).
thf(tyop_2Emin_2Ebool_type,type,
tyop_2Emin_2Ebool: $i ).
thf(c_2Einteger_2Eint__sub_2E2_type,type,
c_2Einteger_2Eint__sub_2E2: $i > $i > $i ).
thf(p_type,type,
p: $i > $o ).
thf(tyop_2Einteger_2Eint_type,type,
tyop_2Einteger_2Eint: $i ).
thf(thm_2Einteger_2Eint__sub,axiom,
! [V0x_2E0: $i,V1y_2E0: $i] :
( ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__sub_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0x_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ V1y_2E0 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__add_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0x_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ V1y_2E0 ) ) ) ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__sub_2E2 @ ( s @ tyop_2Einteger_2Eint @ X0 ) @ ( s @ tyop_2Einteger_2Eint @ X1 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__add_2E2 @ ( s @ tyop_2Einteger_2Eint @ X0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ X1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[thm_2Einteger_2Eint__sub]) ).
thf(thm_2Einteger_2EINT__DIVIDES__RADD,axiom,
! [V0p_2E0: $i,V1q_2E0: $i,V2r_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0p_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ V1q_2E0 ) ) ) )
=> ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0p_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__add_2E2 @ ( s @ tyop_2Einteger_2Eint @ V2r_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ V1q_2E0 ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0p_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ V2r_2E0 ) ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ X0 ) @ ( s @ tyop_2Einteger_2Eint @ X1 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ X0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__add_2E2 @ ( s @ tyop_2Einteger_2Eint @ X2 ) @ ( s @ tyop_2Einteger_2Eint @ X1 ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ X0 ) @ ( s @ tyop_2Einteger_2Eint @ X2 ) ) ) ) ),
inference(cnf,[status(esa)],[thm_2Einteger_2EINT__DIVIDES__RADD]) ).
thf(zip_derived_cl784,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ X2 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__sub_2E2 @ ( s @ tyop_2Einteger_2Eint @ X1 ) @ ( s @ tyop_2Einteger_2Eint @ X0 ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ X2 ) @ ( s @ tyop_2Einteger_2Eint @ X1 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ X2 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ X0 ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl21]) ).
thf(thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
! [V0p_2E0: $i,V1q_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ V0p_2E0 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ V1q_2E0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0p_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ V1q_2E0 ) ) ) )
& ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0p_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ V1q_2E0 ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0p_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ V1q_2E0 ) ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ X0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ X1 ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ X0 ) @ ( s @ tyop_2Einteger_2Eint @ X1 ) ) ) ),
inference(cnf,[status(esa)],[thm_2Einteger_2EINT__DIVIDES__NEG]) ).
thf(zip_derived_cl73224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ X2 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__sub_2E2 @ ( s @ tyop_2Einteger_2Eint @ X1 ) @ ( s @ tyop_2Einteger_2Eint @ X0 ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ X2 ) @ ( s @ tyop_2Einteger_2Eint @ X1 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ X2 ) @ ( s @ tyop_2Einteger_2Eint @ X0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl784,zip_derived_cl22]) ).
thf(thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
! [V0p_2E0: $i,V1q_2E0: $i,V2r_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0p_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ V1q_2E0 ) ) ) )
=> ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0p_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__sub_2E2 @ ( s @ tyop_2Einteger_2Eint @ V2r_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ V1q_2E0 ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0p_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ V2r_2E0 ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [V0p_2E0: $i,V1q_2E0: $i,V2r_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0p_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ V1q_2E0 ) ) ) )
=> ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0p_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__sub_2E2 @ ( s @ tyop_2Einteger_2Eint @ V2r_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ V1q_2E0 ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0p_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ V2r_2E0 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[thm_2Einteger_2EINT__DIVIDES__RSUB]) ).
thf(zip_derived_cl134,plain,
( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ sk_ ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__sub_2E2 @ ( s @ tyop_2Einteger_2Eint @ sk__2 ) @ ( s @ tyop_2Einteger_2Eint @ sk__1 ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ sk_ ) @ ( s @ tyop_2Einteger_2Eint @ sk__2 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73630,plain,
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ sk_ ) @ ( s @ tyop_2Einteger_2Eint @ sk__2 ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ sk_ ) @ ( s @ tyop_2Einteger_2Eint @ sk__2 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ sk_ ) @ ( s @ tyop_2Einteger_2Eint @ sk__1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl73224,zip_derived_cl134]) ).
thf(zip_derived_cl135,plain,
p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ sk_ ) @ ( s @ tyop_2Einteger_2Eint @ sk__1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73645,plain,
( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ sk_ ) @ ( s @ tyop_2Einteger_2Eint @ sk__2 ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__divides_2E2 @ ( s @ tyop_2Einteger_2Eint @ sk_ ) @ ( s @ tyop_2Einteger_2Eint @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl73630,zip_derived_cl135]) ).
thf(zip_derived_cl73646,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl73645]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP012+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nYxJez9JmK true
% 0.17/0.35 % Computer : n022.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sun Aug 27 10:43:10 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.35 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.28/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.28/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.28/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.28/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.28/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 56.98/8.72 % Solved by fo/fo4.sh.
% 56.98/8.72 % done 5661 iterations in 7.924s
% 56.98/8.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 56.98/8.72 % SZS output start Refutation
% See solution above
% 56.98/8.72
% 56.98/8.72
% 56.98/8.72 % Terminating...
% 57.03/8.80 % Runner terminated.
% 57.03/8.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------