TSTP Solution File: SWW240+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW240+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.W43fFL2GnN true
% Computer : n003.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 01:41:17 EDT 2023
% Result : Theorem 1.64s 1.13s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 21
% Syntax : Number of formulae : 40 ( 13 unt; 14 typ; 0 def)
% Number of atoms : 39 ( 15 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 414 ( 16 ~; 8 |; 0 &; 385 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Polynomial_Omonom_type,type,
c_Polynomial_Omonom: $i > $i > $i > $i ).
thf(c_Groups_Otimes__class_Otimes_type,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
thf(c_Polynomial_Opoly_type,type,
c_Polynomial_Opoly: $i > $i > $i ).
thf(v_p_type,type,
v_p: $i ).
thf(class_Rings_Ocomm__semiring__0_type,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
thf(v_n_type,type,
v_n: $i ).
thf(v_x_type,type,
v_x: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_Groups_Oone__class_Oone_type,type,
c_Groups_Oone__class_Oone: $i > $i ).
thf(t_a_type,type,
t_a: $i ).
thf(tc_Polynomial_Opoly_type,type,
tc_Polynomial_Opoly: $i > $i ).
thf(class_Rings_Ocomm__ring__1_type,type,
class_Rings_Ocomm__ring__1: $i > $o ).
thf(class_Rings_Ocomm__semiring__1_type,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
thf(c_Power_Opower__class_Opower_type,type,
c_Power_Opower__class_Opower: $i > $i ).
thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
! [V_a: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ ( c_Groups_Oone__class_Oone @ T_a ) ) @ V_a )
= V_a ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X1 ) @ ( c_Groups_Oone__class_Oone @ X1 ) ) @ X0 )
= X0 )
| ~ ( class_Rings_Ocomm__semiring__1 @ X1 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J]) ).
thf(fact_poly__monom,axiom,
! [V_x: $i,V_n: $i,V_a: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( hAPP @ ( c_Polynomial_Opoly @ T_a @ ( c_Polynomial_Omonom @ T_a @ V_a @ V_n ) ) @ V_x )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_a ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ T_a ) @ V_x ) @ V_n ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ X0 @ ( c_Polynomial_Omonom @ X0 @ X1 @ X3 ) ) @ X2 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X1 ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ X0 ) @ X2 ) @ X3 ) ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_poly__monom]) ).
thf(fact_poly__mult,axiom,
! [V_x: $i,V_q: $i,V_p: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__0 @ T_a )
=> ( ( hAPP @ ( c_Polynomial_Opoly @ T_a @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ T_a ) ) @ V_p ) @ V_q ) ) @ V_x )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ ( hAPP @ ( c_Polynomial_Opoly @ T_a @ V_p ) @ V_x ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ T_a @ V_q ) @ V_x ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( hAPP @ ( c_Polynomial_Opoly @ X0 @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ X0 ) ) @ X1 ) @ X3 ) ) @ X2 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ ( hAPP @ ( c_Polynomial_Opoly @ X0 @ X1 ) @ X2 ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ X0 @ X3 ) @ X2 ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_poly__mult]) ).
thf(conj_0,conjecture,
( ( hAPP @ ( c_Polynomial_Opoly @ t_a @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ t_a ) ) @ ( c_Polynomial_Omonom @ t_a @ ( c_Groups_Oone__class_Oone @ t_a ) @ v_n ) ) @ v_p ) ) @ v_x )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ t_a ) @ v_x ) @ v_n ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ v_x ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( hAPP @ ( c_Polynomial_Opoly @ t_a @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ t_a ) ) @ ( c_Polynomial_Omonom @ t_a @ ( c_Groups_Oone__class_Oone @ t_a ) @ v_n ) ) @ v_p ) ) @ v_x )
!= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ t_a ) @ v_x ) @ v_n ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ v_x ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl930,plain,
( ( hAPP @ ( c_Polynomial_Opoly @ t_a @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ t_a ) ) @ ( c_Polynomial_Omonom @ t_a @ ( c_Groups_Oone__class_Oone @ t_a ) @ v_n ) ) @ v_p ) ) @ v_x )
!= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ t_a ) @ v_x ) @ v_n ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ v_x ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4801,plain,
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ ( c_Polynomial_Omonom @ t_a @ ( c_Groups_Oone__class_Oone @ t_a ) @ v_n ) ) @ v_x ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ v_x ) )
!= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ t_a ) @ v_x ) @ v_n ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ v_x ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ t_a ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl930]) ).
thf(clrel_Rings_Ocomm__ring__1__Rings_Ocomm__semiring__0,axiom,
! [T: $i] :
( ( class_Rings_Ocomm__ring__1 @ T )
=> ( class_Rings_Ocomm__semiring__0 @ T ) ) ).
thf(zip_derived_cl883,plain,
! [X0: $i] :
( ( class_Rings_Ocomm__semiring__0 @ X0 )
| ~ ( class_Rings_Ocomm__ring__1 @ X0 ) ),
inference(cnf,[status(esa)],[clrel_Rings_Ocomm__ring__1__Rings_Ocomm__semiring__0]) ).
thf(tfree_0,axiom,
class_Rings_Ocomm__ring__1 @ t_a ).
thf(zip_derived_cl929,plain,
class_Rings_Ocomm__ring__1 @ t_a,
inference(cnf,[status(esa)],[tfree_0]) ).
thf(zip_derived_cl4812,plain,
class_Rings_Ocomm__semiring__0 @ t_a,
inference('sup+',[status(thm)],[zip_derived_cl883,zip_derived_cl929]) ).
thf(zip_derived_cl4845,plain,
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ ( c_Polynomial_Omonom @ t_a @ ( c_Groups_Oone__class_Oone @ t_a ) @ v_n ) ) @ v_x ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ v_x ) )
!= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ t_a ) @ v_x ) @ v_n ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ v_x ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4801,zip_derived_cl4812]) ).
thf(zip_derived_cl4846,plain,
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( c_Groups_Oone__class_Oone @ t_a ) ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ t_a ) @ v_x ) @ v_n ) ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ v_x ) )
!= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ t_a ) @ v_x ) @ v_n ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ v_x ) ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ t_a ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl4845]) ).
thf(clrel_Rings_Ocomm__ring__1__Rings_Ocomm__semiring__1,axiom,
! [T: $i] :
( ( class_Rings_Ocomm__ring__1 @ T )
=> ( class_Rings_Ocomm__semiring__1 @ T ) ) ).
thf(zip_derived_cl882,plain,
! [X0: $i] :
( ( class_Rings_Ocomm__semiring__1 @ X0 )
| ~ ( class_Rings_Ocomm__ring__1 @ X0 ) ),
inference(cnf,[status(esa)],[clrel_Rings_Ocomm__ring__1__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl929_001,plain,
class_Rings_Ocomm__ring__1 @ t_a,
inference(cnf,[status(esa)],[tfree_0]) ).
thf(zip_derived_cl4796,plain,
class_Rings_Ocomm__semiring__1 @ t_a,
inference('sup+',[status(thm)],[zip_derived_cl882,zip_derived_cl929]) ).
thf(zip_derived_cl4847,plain,
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( c_Groups_Oone__class_Oone @ t_a ) ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ t_a ) @ v_x ) @ v_n ) ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ v_x ) )
!= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ t_a ) @ v_x ) @ v_n ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ v_x ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4846,zip_derived_cl4796]) ).
thf(zip_derived_cl4889,plain,
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ t_a ) @ v_x ) @ v_n ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ v_x ) )
!= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ t_a ) @ v_x ) @ v_n ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ v_x ) ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ t_a ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl4847]) ).
thf(zip_derived_cl4796_002,plain,
class_Rings_Ocomm__semiring__1 @ t_a,
inference('sup+',[status(thm)],[zip_derived_cl882,zip_derived_cl929]) ).
thf(zip_derived_cl4892,plain,
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ t_a ) @ v_x ) @ v_n ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ v_x ) )
!= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ t_a ) @ v_x ) @ v_n ) ) @ ( hAPP @ ( c_Polynomial_Opoly @ t_a @ v_p ) @ v_x ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4889,zip_derived_cl4796]) ).
thf(zip_derived_cl4893,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl4892]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW240+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.W43fFL2GnN true
% 0.13/0.35 % Computer : n003.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 : Sun Aug 27 17:53:40 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.64/1.13 % Solved by fo/fo3_bce.sh.
% 1.64/1.13 % BCE start: 931
% 1.64/1.13 % BCE eliminated: 28
% 1.64/1.13 % PE start: 903
% 1.64/1.13 logic: eq
% 1.64/1.13 % PE eliminated: 4
% 1.64/1.13 % done 71 iterations in 0.346s
% 1.64/1.13 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.64/1.13 % SZS output start Refutation
% See solution above
% 1.64/1.13
% 1.64/1.13
% 1.64/1.13 % Terminating...
% 1.73/1.17 % Runner terminated.
% 1.73/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------