%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW277+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jMk2NyD9kF 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 : Thu Oct 2 05:02:32 PM UTC 2025
% Result : Theorem 111.88s 16.60s
% Output : Refutation 111.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 11 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 246 ( 9 ~; 5 |; 0 &; 228 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 6 con; 0-3 aty)
% Number of variables : 12 ( 0 ^; 11 !; 1 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_a_____type,type,
v_a____: $i ).
thf(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
thf(v_x_____type,type,
v_x____: $i ).
thf(c_Divides_Odiv__class_Odiv_type,type,
c_Divides_Odiv__class_Odiv: $i > $i > $i > $i ).
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(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(tc_Polynomial_Opoly_type,type,
tc_Polynomial_Opoly: $i > $i ).
thf(c_Polynomial_OpCons_type,type,
c_Polynomial_OpCons: $i > $i > $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(c_Groups_Ouminus__class_Ouminus_type,type,
c_Groups_Ouminus__class_Ouminus: $i > $i > $i ).
thf(c_Groups_Oone__class_Oone_type,type,
c_Groups_Oone__class_Oone: $i > $i ).
thf(v_thesis_____type,type,
v_thesis____: $o ).
thf(class_Fields_Ofield_type,type,
class_Fields_Ofield: $i > $o ).
thf(v_s_____type,type,
v_s____: $i ).
thf(class_Divides_Osemiring__div_type,type,
class_Divides_Osemiring__div: $i > $o ).
thf(c_Rings_Odvd__class_Odvd_type,type,
c_Rings_Odvd__class_Odvd: $i > $i ).
thf(fact__096_091_058_N_Aa_M_A1_058_093_Advd_As_096,axiom,
hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( 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 ) ) ) ) ) @ v_s____ ) ).
thf(zip_derived_cl4,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( 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 ) ) ) ) ) @ v_s____ ),
inference(cnf,[status(esa)],[fact__096_091_058_N_Aa_M_A1_058_093_Advd_As_096]) ).
thf(fact_xa,axiom,
v_x____ = v_a____ ).
thf(zip_derived_cl1,plain,
v_x____ = v_a____,
inference(cnf,[status(esa)],[fact_xa]) ).
thf(zip_derived_cl6457,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_x____ ) @ ( 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 ) ) ) ) ) @ v_s____ ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(fact_dvd__mult__div__cancel,axiom,
! [V_b: $i,V_a: $i,T_a: $i] :
( ( class_Divides_Osemiring__div @ T_a )
=> ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ T_a ) @ V_a ) @ V_b ) )
=> ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_a ) @ ( c_Divides_Odiv__class_Odiv @ T_a @ V_b @ V_a ) )
= V_b ) ) ) ).
thf(zip_derived_cl1290,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Rings_Odvd__class_Odvd @ X0 ) @ X1 ) @ X2 ) )
| ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X1 ) @ ( c_Divides_Odiv__class_Odiv @ X0 @ X2 @ X1 ) )
= X2 )
| ~ ( class_Divides_Osemiring__div @ X0 ) ),
inference(cnf,[status(esa)],[fact_dvd__mult__div__cancel]) ).
thf(zip_derived_cl78001,plain,
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_x____ ) @ ( 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_Divides_Odiv__class_Odiv @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) @ v_s____ @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_x____ ) @ ( 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 ) ) ) ) ) )
= v_s____ )
| ~ ( class_Divides_Osemiring__div @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6457,zip_derived_cl1290]) ).
thf(arity_Complex__Ocomplex__Fields_Ofield,axiom,
class_Fields_Ofield @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1598,plain,
class_Fields_Ofield @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Fields_Ofield]) ).
thf(arity_Polynomial__Opoly__Divides_Osemiring__div,axiom,
! [T_1: $i] :
( ( class_Fields_Ofield @ T_1 )
=> ( class_Divides_Osemiring__div @ ( tc_Polynomial_Opoly @ T_1 ) ) ) ).
thf(zip_derived_cl1635,plain,
! [X0: $i] :
( ( class_Divides_Osemiring__div @ ( tc_Polynomial_Opoly @ X0 ) )
| ~ ( class_Fields_Ofield @ X0 ) ),
inference(cnf,[status(esa)],[arity_Polynomial__Opoly__Divides_Osemiring__div]) ).
thf(zip_derived_cl6345,plain,
class_Divides_Osemiring__div @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1598,zip_derived_cl1635]) ).
thf(zip_derived_cl78034,plain,
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_x____ ) @ ( 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_Divides_Odiv__class_Odiv @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) @ v_s____ @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_x____ ) @ ( 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 ) ) ) ) ) )
= v_s____ ),
inference(demod,[status(thm)],[zip_derived_cl78001,zip_derived_cl6345]) ).
thf(conj_0,axiom,
( ? [B_u: $i] :
( v_s____
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( 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 ) ) ) ) ) @ B_u ) )
=> v_thesis____ ) ).
thf(zip_derived_cl1666,plain,
! [X0: $i] :
( v_thesis____
| ( v_s____
!= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( 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 ) ) ) ) ) @ X0 ) ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(conj_1,conjecture,
v_thesis____ ).
thf(zf_stmt_0,negated_conjecture,
~ v_thesis____,
inference('cnf.neg',[status(esa)],[conj_1]) ).
thf(zip_derived_cl1667,plain,
~ v_thesis____,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5046,plain,
! [X0: $i] :
( v_s____
!= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( 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 ) ) ) ) ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1666,zip_derived_cl1667]) ).
thf(zip_derived_cl1_001,plain,
v_x____ = v_a____,
inference(cnf,[status(esa)],[fact_xa]) ).
thf(zip_derived_cl54923,plain,
! [X0: $i] :
( v_s____
!= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ ( tc_Polynomial_Opoly @ tc_Complex_Ocomplex ) ) @ ( c_Polynomial_OpCons @ tc_Complex_Ocomplex @ ( c_Groups_Ouminus__class_Ouminus @ tc_Complex_Ocomplex @ v_x____ ) @ ( 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 ) ) ) ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5046,zip_derived_cl1]) ).
thf(zip_derived_cl78035,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl78034,zip_derived_cl54923]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW277+1 : TPTP v9.2.0. Released v5.2.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jMk2NyD9kF true
% 0.12/0.32 % Computer : n003.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Oct 1 12:02:08 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Running portfolio for 300 s
% 0.12/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 111.88/16.60 % Solved by fo/fo6_bce.sh.
% 111.88/16.60 % BCE start: 1668
% 111.88/16.60 % BCE eliminated: 27
% 111.88/16.60 % PE start: 1641
% 111.88/16.60 logic: eq
% 111.88/16.60 % PE eliminated: 33
% 111.88/16.60 % done 3447 iterations in 15.869s
% 111.88/16.60 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 111.88/16.60 % SZS output start Refutation
% See solution above
% 111.88/16.60
% 111.88/16.60
% 111.88/16.60 % Terminating...
% 112.48/16.68 % Runner terminated.
% 112.48/16.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------