TSTP Solution File: SWW272+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW272+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4kSfQTjiJd true
% Computer : n002.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 : Fri Sep 1 01:41:23 EDT 2023
% Result : Theorem 5.85s 1.42s
% Output : Refutation 5.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 27
% Syntax : Number of formulae : 56 ( 26 unt; 18 typ; 0 def)
% Number of atoms : 50 ( 31 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 302 ( 12 ~; 8 |; 0 &; 278 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_a_____type,type,
v_a____: $i ).
thf(v_pa_____type,type,
v_pa____: $i ).
thf(v_s_____type,type,
v_s____: $i ).
thf(c_Polynomial_Osmult_type,type,
c_Polynomial_Osmult: $i > $i > $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
thf(c_Polynomial_Oorder_type,type,
c_Polynomial_Oorder: $i > $i > $i > $i ).
thf(tc_Nat_Onat_type,type,
tc_Nat_Onat: $i ).
thf(c_Groups_Oone__class_Oone_type,type,
c_Groups_Oone__class_Oone: $i > $i ).
thf(class_Groups_Ozero_type,type,
class_Groups_Ozero: $i > $o ).
thf(c_Polynomial_OpCons_type,type,
c_Polynomial_OpCons: $i > $i > $i > $i ).
thf(c_Power_Opower__class_Opower_type,type,
c_Power_Opower__class_Opower: $i > $i ).
thf(c_Groups_Ouminus__class_Ouminus_type,type,
c_Groups_Ouminus__class_Ouminus: $i > $i > $i ).
thf(tc_Polynomial_Opoly_type,type,
tc_Polynomial_Opoly: $i > $i ).
thf(c_Polynomial_Omonom_type,type,
c_Polynomial_Omonom: $i > $i > $i > $i ).
thf(class_Rings_Ocomm__semiring__0_type,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
thf(c_Groups_Ozero__class_Ozero_type,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
thf(c_Groups_Otimes__class_Otimes_type,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
thf(fact_s,axiom,
( v_pa____
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_a____ ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ) ) @ ( c_Polynomial_Oorder @ tc_Complex_Ocomplex @ v_a____ @ v_pa____ ) ) ) @ v_s____ ) ) ).
thf(zip_derived_cl64,plain,
( v_pa____
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_a____ ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ) ) @ ( c_Polynomial_Oorder @ tc_Complex_Ocomplex @ v_a____ @ v_pa____ ) ) ) @ v_s____ ) ),
inference(cnf,[status(esa)],[fact_s]) ).
thf(conj_0,conjecture,
( v_s____
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( v_s____
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl686,plain,
( v_s____
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl686_001,plain,
( v_s____
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_monom__0,axiom,
! [V_a: $i,T_a: $i] :
( ( class_Groups_Ozero @ T_a )
=> ( ( c_Polynomial_Omonom @ T_a @ V_a @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
= ( c_Polynomial_OpCons @ T_a @ V_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ( ( c_Polynomial_Omonom @ X0 @ X1 @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
= ( c_Polynomial_OpCons @ X0 @ X1 @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) ) )
| ~ ( class_Groups_Ozero @ X0 ) ),
inference(cnf,[status(esa)],[fact_monom__0]) ).
thf(zip_derived_cl3343,plain,
! [X0: $i] :
( ( ( c_Polynomial_Omonom @ tc_Complex_Ocomplex @ X0 @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
= ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ X0 @ v_s____ ) )
| ~ ( class_Groups_Ozero @ tc_Complex_Ocomplex ) ),
inference('sup+',[status(thm)],[zip_derived_cl686,zip_derived_cl29]) ).
thf(arity_Complex__Ocomplex__Groups_Ozero,axiom,
class_Groups_Ozero @ tc_Complex_Ocomplex ).
thf(zip_derived_cl676,plain,
class_Groups_Ozero @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Groups_Ozero]) ).
thf(zip_derived_cl3344,plain,
! [X0: $i] :
( ( c_Polynomial_Omonom @ tc_Complex_Ocomplex @ X0 @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
= ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ X0 @ v_s____ ) ),
inference(demod,[status(thm)],[zip_derived_cl3343,zip_derived_cl676]) ).
thf(zip_derived_cl4456,plain,
( v_pa____
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_a____ ) @ ( c_Polynomial_Omonom @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ) @ ( c_Polynomial_Oorder @ tc_Complex_Ocomplex @ v_a____ @ v_pa____ ) ) ) @ v_s____ ) ),
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl686,zip_derived_cl3344]) ).
thf(fact_mult__smult__right,axiom,
! [V_q: $i,V_a: $i,V_p: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__0 @ T_a )
=> ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ T_a ) ) @ V_p ) @ ( c_Polynomial_Osmult @ T_a @ V_a @ V_q ) )
= ( c_Polynomial_Osmult @ T_a @ V_a @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ T_a ) ) @ V_p ) @ V_q ) ) ) ) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ X0 ) ) @ X2 ) @ ( c_Polynomial_Osmult @ X0 @ X1 @ X3 ) )
= ( c_Polynomial_Osmult @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ X0 ) ) @ X2 ) @ X3 ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_mult__smult__right]) ).
thf(zip_derived_cl7160,plain,
! [X0: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_a____ ) @ ( c_Polynomial_Omonom @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ) @ ( c_Polynomial_Oorder @ tc_Complex_Ocomplex @ v_a____ @ v_pa____ ) ) ) @ ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ X0 @ v_s____ ) )
= ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ X0 @ v_pa____ ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ) ),
inference('sup+',[status(thm)],[zip_derived_cl4456,zip_derived_cl110]) ).
thf(zip_derived_cl686_002,plain,
( v_s____
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_smult__0__right,axiom,
! [V_a: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__0 @ T_a )
=> ( ( c_Polynomial_Osmult @ T_a @ V_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( ( c_Polynomial_Osmult @ X0 @ X1 @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_smult__0__right]) ).
thf(zip_derived_cl3205,plain,
! [X0: $i] :
( ( ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ X0 @ v_s____ )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ) ),
inference('sup+',[status(thm)],[zip_derived_cl686,zip_derived_cl23]) ).
thf(zip_derived_cl686_003,plain,
( v_s____
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ).
thf(zip_derived_cl672,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(zip_derived_cl3206,plain,
! [X0: $i] :
( ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ X0 @ v_s____ )
= v_s____ ),
inference(demod,[status(thm)],[zip_derived_cl3205,zip_derived_cl686,zip_derived_cl672]) ).
thf(zip_derived_cl4456_004,plain,
( v_pa____
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_a____ ) @ ( c_Polynomial_Omonom @ tc_Complex_Ocomplex @ ( c_Groups_Oone__class_Oone @ tc_Complex_Ocomplex ) @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ) @ ( c_Polynomial_Oorder @ tc_Complex_Ocomplex @ v_a____ @ v_pa____ ) ) ) @ v_s____ ) ),
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl686,zip_derived_cl3344]) ).
thf(zip_derived_cl672_005,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(zip_derived_cl7164,plain,
! [X0: $i] :
( v_pa____
= ( c_Polynomial_Osmult @ tc_Complex_Ocomplex @ X0 @ v_pa____ ) ),
inference(demod,[status(thm)],[zip_derived_cl7160,zip_derived_cl3206,zip_derived_cl4456,zip_derived_cl672]) ).
thf(fact_smult__0__left,axiom,
! [V_p: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__0 @ T_a )
=> ( ( c_Polynomial_Osmult @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) @ V_p )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( ( c_Polynomial_Osmult @ X0 @ ( c_Groups_Ozero__class_Ozero @ X0 ) @ X1 )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_smult__0__left]) ).
thf(zip_derived_cl7177,plain,
( ( v_pa____
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex ) ),
inference('sup+',[status(thm)],[zip_derived_cl7164,zip_derived_cl9]) ).
thf(zip_derived_cl686_006,plain,
( v_s____
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl672_007,plain,
class_Rings_Ocomm__semiring__0 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
thf(zip_derived_cl7191,plain,
v_pa____ = v_s____,
inference(demod,[status(thm)],[zip_derived_cl7177,zip_derived_cl686,zip_derived_cl672]) ).
thf(fact_pne,axiom,
( v_pa____
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ) ).
thf(zip_derived_cl1,plain,
( v_pa____
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(cnf,[status(esa)],[fact_pne]) ).
thf(zip_derived_cl686_008,plain,
( v_s____
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2969,plain,
v_pa____ != v_s____,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl686]) ).
thf(zip_derived_cl7192,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7191,zip_derived_cl2969]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW272+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4kSfQTjiJd true
% 0.14/0.35 % Computer : n002.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 : Sun Aug 27 22:57:34 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.20/0.36 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.79/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.79/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 5.85/1.42 % Solved by fo/fo3_bce.sh.
% 5.85/1.42 % BCE start: 687
% 5.85/1.42 % BCE eliminated: 44
% 5.85/1.42 % PE start: 643
% 5.85/1.42 logic: eq
% 5.85/1.42 % PE eliminated: 6
% 5.85/1.42 % done 787 iterations in 0.670s
% 5.85/1.42 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.85/1.42 % SZS output start Refutation
% See solution above
% 5.85/1.42
% 5.85/1.42
% 5.85/1.42 % Terminating...
% 5.85/1.46 % Runner terminated.
% 5.85/1.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------