TSTP Solution File: SWW186+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW186+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Rcm9w9VMTd true
% Computer : n012.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 01:41:06 EDT 2023
% Result : Theorem 5.92s 1.56s
% Output : Refutation 5.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 24
% Syntax : Number of formulae : 74 ( 28 unt; 13 typ; 0 def)
% Number of atoms : 102 ( 67 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 391 ( 32 ~; 28 |; 3 &; 318 @)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 44 ( 0 ^; 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_h_type,type,
v_h: $i ).
thf(v_a_type,type,
v_a: $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_Polynomial_Osmult_type,type,
c_Polynomial_Osmult: $i > $i > $i > $i ).
thf(class_Groups_Ocomm__monoid__add_type,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
thf(class_Groups_Ozero_type,type,
class_Groups_Ozero: $i > $o ).
thf(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly_type,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly: $i > $i > $i > $i ).
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).
thf(v_p_type,type,
v_p: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(c_Polynomial_OpCons_type,type,
c_Polynomial_OpCons: $i > $i > $i > $i ).
thf(tc_Polynomial_Opoly_type,type,
tc_Polynomial_Opoly: $i > $i ).
thf(clrel_Rings_Ocomm__semiring__0__Groups_Ocomm__monoid__add,axiom,
! [T: $i] :
( ( class_Rings_Ocomm__semiring__0 @ T )
=> ( class_Groups_Ocomm__monoid__add @ T ) ) ).
thf(zip_derived_cl1374,plain,
! [X0: $i] :
( ( class_Groups_Ocomm__monoid__add @ X0 )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[clrel_Rings_Ocomm__semiring__0__Groups_Ocomm__monoid__add]) ).
thf(conj_0,axiom,
( ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ t_a @ v_p @ v_h )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) )
=> ( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ) ).
thf(zip_derived_cl1556,plain,
( ( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) )
| ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ t_a @ v_p @ v_h )
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(conj_1,axiom,
( ( c_Groups_Oplus__class_Oplus @ ( tc_Polynomial_Opoly @ t_a ) @ ( c_Polynomial_Osmult @ t_a @ v_h @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ t_a @ v_p @ v_h ) ) @ ( c_Polynomial_OpCons @ t_a @ v_a @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ t_a @ v_p @ v_h ) ) )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ).
thf(zip_derived_cl1557,plain,
( ( c_Groups_Oplus__class_Oplus @ ( tc_Polynomial_Opoly @ t_a ) @ ( c_Polynomial_Osmult @ t_a @ v_h @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ t_a @ v_p @ v_h ) ) @ ( c_Polynomial_OpCons @ t_a @ v_a @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ t_a @ v_p @ v_h ) ) )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(fact_offset__poly__eq__0__lemma,axiom,
! [V_a: $i,V_p: $i,V_c: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__0 @ T_a )
=> ( ( ( c_Groups_Oplus__class_Oplus @ ( tc_Polynomial_Opoly @ T_a ) @ ( c_Polynomial_Osmult @ T_a @ V_c @ V_p ) @ ( c_Polynomial_OpCons @ T_a @ V_a @ V_p ) )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) )
=> ( V_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ ( tc_Polynomial_Opoly @ X0 ) @ ( c_Polynomial_Osmult @ X0 @ X1 @ X2 ) @ ( c_Polynomial_OpCons @ X0 @ X3 @ X2 ) )
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
| ( X2
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_offset__poly__eq__0__lemma]) ).
thf(zip_derived_cl5906,plain,
( ( ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) )
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) )
| ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ t_a @ v_p @ v_h )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) )
| ~ ( class_Rings_Ocomm__semiring__0 @ t_a ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1557,zip_derived_cl4]) ).
thf(tfree_0,axiom,
class_Rings_Ocomm__semiring__0 @ t_a ).
thf(zip_derived_cl1559,plain,
class_Rings_Ocomm__semiring__0 @ t_a,
inference(cnf,[status(esa)],[tfree_0]) ).
thf(zip_derived_cl5908,plain,
( ( ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) )
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) )
| ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ t_a @ v_p @ v_h )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5906,zip_derived_cl1559]) ).
thf(zip_derived_cl5909,plain,
( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ t_a @ v_p @ v_h )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5908]) ).
thf(zip_derived_cl5954,plain,
( ( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) )
| ( ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) )
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1556,zip_derived_cl5909]) ).
thf(zip_derived_cl5955,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5954]) ).
thf(fact_add__poly__code_I1_J,axiom,
! [V_q: $i,T_a: $i] :
( ( class_Groups_Ocomm__monoid__add @ T_a )
=> ( ( c_Groups_Oplus__class_Oplus @ ( tc_Polynomial_Opoly @ T_a ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) @ V_q )
= V_q ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ ( tc_Polynomial_Opoly @ X1 ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X1 ) ) @ X0 )
= X0 )
| ~ ( class_Groups_Ocomm__monoid__add @ X1 ) ),
inference(cnf,[status(esa)],[fact_add__poly__code_I1_J]) ).
thf(zip_derived_cl5988,plain,
! [X0: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ ( tc_Polynomial_Opoly @ t_a ) @ v_p @ X0 )
= X0 )
| ~ ( class_Groups_Ocomm__monoid__add @ t_a ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5955,zip_derived_cl17]) ).
thf(zip_derived_cl6861,plain,
! [X0: $i] :
( ~ ( class_Rings_Ocomm__semiring__0 @ t_a )
| ( ( c_Groups_Oplus__class_Oplus @ ( tc_Polynomial_Opoly @ t_a ) @ v_p @ X0 )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1374,zip_derived_cl5988]) ).
thf(zip_derived_cl1559_001,plain,
class_Rings_Ocomm__semiring__0 @ t_a,
inference(cnf,[status(esa)],[tfree_0]) ).
thf(zip_derived_cl6862,plain,
! [X0: $i] :
( ( c_Groups_Oplus__class_Oplus @ ( tc_Polynomial_Opoly @ t_a ) @ v_p @ X0 )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl6861,zip_derived_cl1559]) ).
thf(zip_derived_cl1557_002,plain,
( ( c_Groups_Oplus__class_Oplus @ ( tc_Polynomial_Opoly @ t_a ) @ ( c_Polynomial_Osmult @ t_a @ v_h @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ t_a @ v_p @ v_h ) ) @ ( c_Polynomial_OpCons @ t_a @ v_a @ ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ t_a @ v_p @ v_h ) ) )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(zip_derived_cl5909_003,plain,
( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ t_a @ v_p @ v_h )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5908]) ).
thf(zip_derived_cl5909_004,plain,
( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @ t_a @ v_p @ v_h )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5908]) ).
thf(zip_derived_cl5956,plain,
( ( c_Groups_Oplus__class_Oplus @ ( tc_Polynomial_Opoly @ t_a ) @ ( c_Polynomial_Osmult @ t_a @ v_h @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) @ ( c_Polynomial_OpCons @ t_a @ v_a @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1557,zip_derived_cl5909,zip_derived_cl5909]) ).
thf(zip_derived_cl5955_005,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5954]) ).
thf(zip_derived_cl5955_006,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5954]) ).
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_cl19,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_cl5983,plain,
! [X0: $i] :
( ( ( c_Polynomial_Osmult @ t_a @ X0 @ v_p )
= v_p )
| ~ ( class_Rings_Ocomm__semiring__0 @ t_a ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5955,zip_derived_cl19]) ).
thf(zip_derived_cl1559_007,plain,
class_Rings_Ocomm__semiring__0 @ t_a,
inference(cnf,[status(esa)],[tfree_0]) ).
thf(zip_derived_cl5994,plain,
! [X0: $i] :
( ( c_Polynomial_Osmult @ t_a @ X0 @ v_p )
= v_p ),
inference(demod,[status(thm)],[zip_derived_cl5983,zip_derived_cl1559]) ).
thf(zip_derived_cl5955_008,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5954]) ).
thf(zip_derived_cl5955_009,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5954]) ).
thf(zip_derived_cl6690,plain,
( ( c_Groups_Oplus__class_Oplus @ ( tc_Polynomial_Opoly @ t_a ) @ v_p @ ( c_Polynomial_OpCons @ t_a @ v_a @ v_p ) )
= v_p ),
inference(demod,[status(thm)],[zip_derived_cl5956,zip_derived_cl5955,zip_derived_cl5994,zip_derived_cl5955,zip_derived_cl5955]) ).
thf(zip_derived_cl6878,plain,
( ( c_Polynomial_OpCons @ t_a @ v_a @ v_p )
= v_p ),
inference('s_sup+',[status(thm)],[zip_derived_cl6862,zip_derived_cl6690]) ).
thf(clrel_Rings_Ocomm__semiring__0__Groups_Ozero,axiom,
! [T: $i] :
( ( class_Rings_Ocomm__semiring__0 @ T )
=> ( class_Groups_Ozero @ T ) ) ).
thf(zip_derived_cl1380,plain,
! [X0: $i] :
( ( class_Groups_Ozero @ X0 )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[clrel_Rings_Ocomm__semiring__0__Groups_Ozero]) ).
thf(zip_derived_cl1380_010,plain,
! [X0: $i] :
( ( class_Groups_Ozero @ X0 )
| ~ ( class_Rings_Ocomm__semiring__0 @ X0 ) ),
inference(cnf,[status(esa)],[clrel_Rings_Ocomm__semiring__0__Groups_Ozero]) ).
thf(zip_derived_cl5955_011,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5954]) ).
thf(fact_pCons__0__0,axiom,
! [T_a: $i] :
( ( class_Groups_Ozero @ T_a )
=> ( ( c_Polynomial_OpCons @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ T_a ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( ( c_Polynomial_OpCons @ X0 @ ( c_Groups_Ozero__class_Ozero @ X0 ) @ ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ X0 ) ) )
| ~ ( class_Groups_Ozero @ X0 ) ),
inference(cnf,[status(esa)],[fact_pCons__0__0]) ).
thf(zip_derived_cl5982,plain,
( ( ( c_Polynomial_OpCons @ t_a @ ( c_Groups_Ozero__class_Ozero @ t_a ) @ v_p )
= v_p )
| ~ ( class_Groups_Ozero @ t_a ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5955,zip_derived_cl12]) ).
thf(zip_derived_cl6080,plain,
( ~ ( class_Rings_Ocomm__semiring__0 @ t_a )
| ( ( c_Polynomial_OpCons @ t_a @ ( c_Groups_Ozero__class_Ozero @ t_a ) @ v_p )
= v_p ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1380,zip_derived_cl5982]) ).
thf(zip_derived_cl1559_012,plain,
class_Rings_Ocomm__semiring__0 @ t_a,
inference(cnf,[status(esa)],[tfree_0]) ).
thf(zip_derived_cl6081,plain,
( ( c_Polynomial_OpCons @ t_a @ ( c_Groups_Ozero__class_Ozero @ t_a ) @ v_p )
= v_p ),
inference(demod,[status(thm)],[zip_derived_cl6080,zip_derived_cl1559]) ).
thf(fact_pCons__eq__iff,axiom,
! [V_q_2: $i,V_b_2: $i,V_pa_2: $i,V_a_2: $i,T_b: $i] :
( ( class_Groups_Ozero @ T_b )
=> ( ( ( c_Polynomial_OpCons @ T_b @ V_a_2 @ V_pa_2 )
= ( c_Polynomial_OpCons @ T_b @ V_b_2 @ V_q_2 ) )
<=> ( ( V_a_2 = V_b_2 )
& ( V_pa_2 = V_q_2 ) ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( c_Polynomial_OpCons @ X0 @ X3 @ X4 )
!= ( c_Polynomial_OpCons @ X0 @ X1 @ X2 ) )
| ( X3 = X1 )
| ~ ( class_Groups_Ozero @ X0 ) ),
inference(cnf,[status(esa)],[fact_pCons__eq__iff]) ).
thf(zip_derived_cl6141,plain,
! [X0: $i,X1: $i] :
( ( ( c_Polynomial_OpCons @ t_a @ X1 @ X0 )
!= v_p )
| ( X1
= ( c_Groups_Ozero__class_Ozero @ t_a ) )
| ~ ( class_Groups_Ozero @ t_a ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6081,zip_derived_cl33]) ).
thf(zip_derived_cl6772,plain,
! [X0: $i,X1: $i] :
( ~ ( class_Rings_Ocomm__semiring__0 @ t_a )
| ( ( c_Polynomial_OpCons @ t_a @ X1 @ X0 )
!= v_p )
| ( X1
= ( c_Groups_Ozero__class_Ozero @ t_a ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1380,zip_derived_cl6141]) ).
thf(zip_derived_cl1559_013,plain,
class_Rings_Ocomm__semiring__0 @ t_a,
inference(cnf,[status(esa)],[tfree_0]) ).
thf(zip_derived_cl6773,plain,
! [X0: $i,X1: $i] :
( ( ( c_Polynomial_OpCons @ t_a @ X1 @ X0 )
!= v_p )
| ( X1
= ( c_Groups_Ozero__class_Ozero @ t_a ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6772,zip_derived_cl1559]) ).
thf(zip_derived_cl6905,plain,
( ( v_p != v_p )
| ( v_a
= ( c_Groups_Ozero__class_Ozero @ t_a ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6878,zip_derived_cl6773]) ).
thf(zip_derived_cl6922,plain,
( v_a
= ( c_Groups_Ozero__class_Ozero @ t_a ) ),
inference(simplify,[status(thm)],[zip_derived_cl6905]) ).
thf(conj_2,conjecture,
( ( v_a
= ( c_Groups_Ozero__class_Ozero @ t_a ) )
& ( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( v_a
= ( c_Groups_Ozero__class_Ozero @ t_a ) )
& ( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_2]) ).
thf(zip_derived_cl1558,plain,
( ( v_a
!= ( c_Groups_Ozero__class_Ozero @ t_a ) )
| ( v_p
!= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5955_014,plain,
( v_p
= ( c_Groups_Ozero__class_Ozero @ ( tc_Polynomial_Opoly @ t_a ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5954]) ).
thf(zip_derived_cl5961,plain,
( ( v_a
!= ( c_Groups_Ozero__class_Ozero @ t_a ) )
| ( v_p != v_p ) ),
inference(demod,[status(thm)],[zip_derived_cl1558,zip_derived_cl5955]) ).
thf(zip_derived_cl5962,plain,
( v_a
!= ( c_Groups_Ozero__class_Ozero @ t_a ) ),
inference(simplify,[status(thm)],[zip_derived_cl5961]) ).
thf(zip_derived_cl6923,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6922,zip_derived_cl5962]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW186+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Rcm9w9VMTd true
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 21:01:55 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.07/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.92/1.56 % Solved by fo/fo6_bce.sh.
% 5.92/1.56 % BCE start: 1560
% 5.92/1.56 % BCE eliminated: 189
% 5.92/1.56 % PE start: 1371
% 5.92/1.56 logic: eq
% 5.92/1.56 % PE eliminated: 18
% 5.92/1.56 % done 268 iterations in 0.815s
% 5.92/1.56 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.92/1.56 % SZS output start Refutation
% See solution above
% 5.92/1.56
% 5.92/1.56
% 5.92/1.56 % Terminating...
% 7.32/1.69 % Runner terminated.
% 7.32/1.70 % Zipperpin 1.5 exiting
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