TSTP Solution File: SWW245+1 by E---3.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW245+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 : Mon Jun 24 18:11:23 EDT 2024
% Result : Theorem 24.62s 3.77s
% Output : CNFRefutation 24.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 64 ( 23 unt; 0 def)
% Number of atoms : 211 ( 184 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 246 ( 99 ~; 100 |; 27 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-4 aty)
% Number of variables : 84 ( 3 sgn 32 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact__096c_A_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096,axiom,
( class_Rings_Oidom(t_a)
=> ( v_c____ = c_Groups_Ozero__class_Ozero(t_a)
=> ? [X5,X6] :
( X6 != c_Groups_Ozero__class_Ozero(t_a)
& ? [X7] :
( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X7))),X5)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X7))),X5)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) )
& ! [X4] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X4),X5)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X6,X7)),X4)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JmbfLCpCCA/E---3.1_8357.p',fact__096c_A_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096) ).
fof(fact__096c_A_126_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096,axiom,
( class_Rings_Oidom(t_a)
=> ( v_c____ != c_Groups_Ozero__class_Ozero(t_a)
=> ? [X5,X6] :
( X6 != c_Groups_Ozero__class_Ozero(t_a)
& ? [X7] :
( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X7))),X5)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X7))),X5)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) )
& ! [X4] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X4),X5)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X6,X7)),X4)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JmbfLCpCCA/E---3.1_8357.p',fact__096c_A_126_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096) ).
fof(fact_Suc__eq__plus1,axiom,
! [X19] : c_Nat_OSuc(X19) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X19,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
file('/export/starexec/sandbox/tmp/tmp.JmbfLCpCCA/E---3.1_8357.p',fact_Suc__eq__plus1) ).
fof(fact_Zero__not__Suc,axiom,
! [X22] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X22),
file('/export/starexec/sandbox/tmp/tmp.JmbfLCpCCA/E---3.1_8357.p',fact_Zero__not__Suc) ).
fof(fact_nat__add__commute,axiom,
! [X19,X22] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X22,X19) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X19,X22),
file('/export/starexec/sandbox/tmp/tmp.JmbfLCpCCA/E---3.1_8357.p',fact_nat__add__commute) ).
fof(fact_nat__add__assoc,axiom,
! [X36,X19,X22] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X22,X19),X36) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X22,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X19,X36)),
file('/export/starexec/sandbox/tmp/tmp.JmbfLCpCCA/E---3.1_8357.p',fact_nat__add__assoc) ).
fof(conj_0,conjecture,
? [X5,X6] :
( X6 != c_Groups_Ozero__class_Ozero(t_a)
& ? [X7] :
( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X7))),X5)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X7))),X5)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) )
& ! [X4] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X4),X5)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X6,X7)),X4)) ) ),
file('/export/starexec/sandbox/tmp/tmp.JmbfLCpCCA/E---3.1_8357.p',conj_0) ).
fof(tfree_0,hypothesis,
class_Rings_Oidom(t_a),
file('/export/starexec/sandbox/tmp/tmp.JmbfLCpCCA/E---3.1_8357.p',tfree_0) ).
fof(fact_nat__add__left__commute,axiom,
! [X35,X34,X11] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X11,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X34,X35)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X34,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X11,X35)),
file('/export/starexec/sandbox/tmp/tmp.JmbfLCpCCA/E---3.1_8357.p',fact_nat__add__left__commute) ).
fof(c_0_9,plain,
( class_Rings_Oidom(t_a)
=> ( v_c____ = c_Groups_Ozero__class_Ozero(t_a)
=> ? [X5,X6] :
( X6 != c_Groups_Ozero__class_Ozero(t_a)
& ? [X7] :
( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X7))),X5)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X7))),X5)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) )
& ! [X4] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X4),X5)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X6,X7)),X4)) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact__096c_A_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096]) ).
fof(c_0_10,plain,
( class_Rings_Oidom(t_a)
=> ( v_c____ != c_Groups_Ozero__class_Ozero(t_a)
=> ? [X5,X6] :
( X6 != c_Groups_Ozero__class_Ozero(t_a)
& ? [X7] :
( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X7))),X5)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X7))),X5)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) )
& ! [X4] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X4),X5)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X6,X7)),X4)) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact__096c_A_126_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096]) ).
fof(c_0_11,plain,
! [X102] :
( ( esk8_0 != c_Groups_Ozero__class_Ozero(t_a)
| v_c____ != c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) )
& ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk9_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,esk9_0))),esk7_0)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| v_c____ != c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) )
& ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk9_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,esk9_0))),esk7_0)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| v_c____ != c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) )
& ( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X102) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X102),esk7_0)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,esk8_0,esk9_0)),X102))
| v_c____ != c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])]) ).
fof(c_0_12,plain,
! [X614] : c_Nat_OSuc(X614) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X614,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1]) ).
fof(c_0_13,plain,
! [X22] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X22),
inference(fof_simplification,[status(thm)],[fact_Zero__not__Suc]) ).
fof(c_0_14,plain,
! [X98] :
( ( esk5_0 != c_Groups_Ozero__class_Ozero(t_a)
| v_c____ = c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) )
& ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk6_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,esk6_0))),esk4_0)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| v_c____ = c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) )
& ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk6_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,esk6_0))),esk4_0)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| v_c____ = c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) )
& ( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X98) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X98),esk4_0)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,esk5_0,esk6_0)),X98))
| v_c____ = c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])]) ).
cnf(c_0_15,plain,
( c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk9_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,esk9_0))),esk7_0)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| v_c____ != c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
c_Nat_OSuc(X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_17,plain,
! [X299,X300] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X300,X299) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X299,X300),
inference(variable_rename,[status(thm)],[fact_nat__add__commute]) ).
fof(c_0_18,plain,
! [X304,X305,X306] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X306,X305),X304) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X306,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X305,X304)),
inference(variable_rename,[status(thm)],[fact_nat__add__assoc]) ).
fof(c_0_19,plain,
! [X366] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X366),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_13])]) ).
fof(c_0_20,negated_conjecture,
~ ? [X5,X6] :
( X6 != c_Groups_Ozero__class_Ozero(t_a)
& ? [X7] :
( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X7))),X5)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X7))),X5)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) )
& ! [X4] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X4),X5)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X6,X7)),X4)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_21,plain,
( c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk6_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,esk6_0))),esk4_0)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| v_c____ = c_Groups_Ozero__class_Ozero(t_a)
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Rings_Oidom(t_a) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk9_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,esk9_0),c_Groups_Oone__class_Oone(tc_Nat_Onat))),esk7_0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| v_c____ != c_Groups_Ozero__class_Ozero(t_a)
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Rings_Oidom(t_a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16]) ).
cnf(c_0_23,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,hypothesis,
class_Rings_Oidom(t_a),
inference(split_conjunct,[status(thm)],[tfree_0]) ).
fof(c_0_26,plain,
! [X301,X302,X303] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X303,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X302,X301)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X302,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X303,X301)),
inference(variable_rename,[status(thm)],[fact_nat__add__left__commute]) ).
cnf(c_0_27,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_28,negated_conjecture,
! [X3062,X3063,X3064] :
( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),esk32_3(X3062,X3063,X3064)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk32_3(X3062,X3063,X3064)),X3062)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X3063,X3064)),esk32_3(X3062,X3063,X3064)))
| X3063 = c_Groups_Ozero__class_Ozero(t_a) )
& ( c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X3064,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X3064))),X3062)) != c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),esk32_3(X3062,X3063,X3064)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk32_3(X3062,X3063,X3064)),X3062)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X3063,X3064)),esk32_3(X3062,X3063,X3064)))
| X3063 = c_Groups_Ozero__class_Ozero(t_a) )
& ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X3064,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X3064))),X3062)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),esk32_3(X3062,X3063,X3064)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk32_3(X3062,X3063,X3064)),X3062)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X3063,X3064)),esk32_3(X3062,X3063,X3064)))
| X3063 = c_Groups_Ozero__class_Ozero(t_a) )
& ( c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X3064,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X3064))),X3062)) != c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X3064,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X3064))),X3062)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),esk32_3(X3062,X3063,X3064)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk32_3(X3062,X3063,X3064)),X3062)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X3063,X3064)),esk32_3(X3062,X3063,X3064)))
| X3063 = c_Groups_Ozero__class_Ozero(t_a) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])])]) ).
cnf(c_0_29,plain,
( v_c____ = c_Groups_Ozero__class_Ozero(t_a)
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk6_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,esk6_0),c_Groups_Oone__class_Oone(tc_Nat_Onat))),esk4_0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Rings_Oidom(t_a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_16]),c_0_16]) ).
cnf(c_0_30,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk9_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk9_0))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),esk7_0)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| v_c____ != c_Groups_Ozero__class_Ozero(t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_23]),c_0_25])]) ).
cnf(c_0_31,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(rw,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_33,negated_conjecture,
( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| X3 = c_Groups_Ozero__class_Ozero(t_a)
| c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X1))),X2)) != c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),esk32_3(X2,X3,X1)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk32_3(X2,X3,X1)),X2)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X3,X1)),esk32_3(X2,X3,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk6_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk6_0))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),esk4_0)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| v_c____ = c_Groups_Ozero__class_Ozero(t_a)
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_23]),c_0_24]),c_0_23]),c_0_25])]) ).
cnf(c_0_35,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk9_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk9_0))),esk7_0)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| v_c____ != c_Groups_Ozero__class_Ozero(t_a) ),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(spm,[status(thm)],[c_0_32,c_0_23]) ).
cnf(c_0_37,negated_conjecture,
( X3 = c_Groups_Ozero__class_Ozero(t_a)
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),esk32_3(X2,X3,X1)) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk32_3(X2,X3,X1)),X2)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X3,X1)),esk32_3(X2,X3,X1)))
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_38,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk6_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk6_0))),esk4_0)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| v_c____ = c_Groups_Ozero__class_Ozero(t_a)
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(rw,[status(thm)],[c_0_34,c_0_31]) ).
cnf(c_0_39,plain,
( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| v_c____ != c_Groups_Ozero__class_Ozero(t_a) ),
inference(sr,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| X1 = c_Groups_Ozero__class_Ozero(t_a)
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,X2))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk32_3(X3,X1,X2)),X3)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X1,X2)),esk32_3(X3,X1,X2))) != hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),esk32_3(X3,X1,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_23]),c_0_24]),c_0_23]) ).
cnf(c_0_41,plain,
c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_38,c_0_36]),c_0_39]) ).
cnf(c_0_42,plain,
( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk6_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,esk6_0))),esk4_0)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| v_c____ = c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_43,plain,
( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk9_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,esk9_0))),esk7_0)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| v_c____ != c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_44,negated_conjecture,
( X1 = c_Groups_Ozero__class_Ozero(t_a)
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,X2))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk32_3(X3,X1,X2)),X3)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X1,X2)),esk32_3(X3,X1,X2))) != hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),esk32_3(X3,X1,X2)) ),
inference(sr,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_46,plain,
( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X1),esk4_0)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,esk5_0,esk6_0)),X1))
| v_c____ = c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_47,plain,
( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X1),esk7_0)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,esk8_0,esk9_0)),X1))
| v_c____ != c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_48,plain,
( v_c____ = c_Groups_Ozero__class_Ozero(t_a)
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk6_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,esk6_0),c_Groups_Oone__class_Oone(tc_Nat_Onat))),esk4_0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
| ~ class_Rings_Oidom(t_a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_49,plain,
( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk9_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,esk9_0),c_Groups_Oone__class_Oone(tc_Nat_Onat))),esk7_0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
| v_c____ != c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_50,negated_conjecture,
( X1 = c_Groups_Ozero__class_Ozero(t_a)
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,X2))),X3)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),esk32_3(X3,X1,X2)),X3)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X1,X2)),esk32_3(X3,X1,X2))) != hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),esk32_3(X3,X1,X2)) ),
inference(rw,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X1),esk4_0)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,esk5_0,esk6_0)),X1)) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X1)
| v_c____ = c_Groups_Ozero__class_Ozero(t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_25])]) ).
cnf(c_0_52,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X1),esk7_0)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,esk8_0,esk9_0)),X1)) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X1)
| v_c____ != c_Groups_Ozero__class_Ozero(t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_25])]) ).
cnf(c_0_53,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk6_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk6_0))),esk4_0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| v_c____ = c_Groups_Ozero__class_Ozero(t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_23]),c_0_24]),c_0_23]),c_0_31]),c_0_23]),c_0_25])]) ).
cnf(c_0_54,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk9_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk9_0))),esk7_0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| v_c____ != c_Groups_Ozero__class_Ozero(t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_23]),c_0_24]),c_0_23]),c_0_31]),c_0_23]),c_0_25])]) ).
cnf(c_0_55,plain,
( v_c____ = c_Groups_Ozero__class_Ozero(t_a)
| esk5_0 != c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_56,plain,
( esk8_0 != c_Groups_Ozero__class_Ozero(t_a)
| v_c____ != c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_57,negated_conjecture,
( esk5_0 = c_Groups_Ozero__class_Ozero(t_a)
| v_c____ = c_Groups_Ozero__class_Ozero(t_a)
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk6_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk6_0))),esk4_0)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
( esk8_0 = c_Groups_Ozero__class_Ozero(t_a)
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk9_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk9_0))),esk7_0)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| v_c____ != c_Groups_Ozero__class_Ozero(t_a) ),
inference(spm,[status(thm)],[c_0_50,c_0_52]) ).
cnf(c_0_59,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk6_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk6_0))),esk4_0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| v_c____ = c_Groups_Ozero__class_Ozero(t_a) ),
inference(sr,[status(thm)],[c_0_53,c_0_41]) ).
cnf(c_0_60,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(esk9_0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,esk9_0))),esk7_0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))
| v_c____ != c_Groups_Ozero__class_Ozero(t_a) ),
inference(sr,[status(thm)],[c_0_54,c_0_41]) ).
cnf(c_0_61,plain,
( v_c____ = c_Groups_Ozero__class_Ozero(t_a)
| esk5_0 != c_Groups_Ozero__class_Ozero(t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_25])]) ).
cnf(c_0_62,plain,
( v_c____ != c_Groups_Ozero__class_Ozero(t_a)
| esk8_0 != c_Groups_Ozero__class_Ozero(t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_25])]) ).
cnf(c_0_63,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_57,c_0_58,c_0_59,c_0_60,c_0_61,c_0_62]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW245+1 : TPTP v8.2.0. Released v5.2.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jun 19 09:25:53 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.41/0.60 Running first-order theorem proving
% 0.41/0.60 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.JmbfLCpCCA/E---3.1_8357.p
% 24.62/3.77 # Version: 3.2.0
% 24.62/3.77 # Preprocessing class: FMLMSMSMSSSNFFN.
% 24.62/3.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.62/3.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 24.62/3.77 # Starting new_bool_3 with 300s (1) cores
% 24.62/3.77 # Starting new_bool_1 with 300s (1) cores
% 24.62/3.77 # Starting sh5l with 300s (1) cores
% 24.62/3.77 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 8436 completed with status 0
% 24.62/3.77 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 24.62/3.77 # Preprocessing class: FMLMSMSMSSSNFFN.
% 24.62/3.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.62/3.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 24.62/3.77 # No SInE strategy applied
% 24.62/3.77 # Search class: FGHSM-SSLM32-DFFFFFNN
% 24.62/3.77 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 24.62/3.77 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 24.62/3.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 24.62/3.77 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 24.62/3.77 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 24.62/3.77 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 113s (1) cores
% 24.62/3.77 # G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 8447 completed with status 0
% 24.62/3.77 # Result found by G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 24.62/3.77 # Preprocessing class: FMLMSMSMSSSNFFN.
% 24.62/3.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.62/3.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 24.62/3.77 # No SInE strategy applied
% 24.62/3.77 # Search class: FGHSM-SSLM32-DFFFFFNN
% 24.62/3.77 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 24.62/3.77 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 24.62/3.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 24.62/3.77 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 24.62/3.77 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 24.62/3.77 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 113s (1) cores
% 24.62/3.77 # Preprocessing time : 0.019 s
% 24.62/3.77 # Presaturation interreduction done
% 24.62/3.77 # SatCheck found unsatisfiable ground set
% 24.62/3.77
% 24.62/3.77 # Proof found!
% 24.62/3.77 # SZS status Theorem
% 24.62/3.77 # SZS output start CNFRefutation
% See solution above
% 24.62/3.77 # Parsed axioms : 1161
% 24.62/3.77 # Removed by relevancy pruning/SinE : 0
% 24.62/3.77 # Initial clauses : 1591
% 24.62/3.77 # Removed in clause preprocessing : 77
% 24.62/3.77 # Initial clauses in saturation : 1514
% 24.62/3.77 # Processed clauses : 18136
% 24.62/3.77 # ...of these trivial : 159
% 24.62/3.77 # ...subsumed : 12977
% 24.62/3.77 # ...remaining for further processing : 5000
% 24.62/3.77 # Other redundant clauses eliminated : 2074
% 24.62/3.77 # Clauses deleted for lack of memory : 0
% 24.62/3.77 # Backward-subsumed : 188
% 24.62/3.77 # Backward-rewritten : 63
% 24.62/3.77 # Generated clauses : 108503
% 24.62/3.77 # ...of the previous two non-redundant : 97687
% 24.62/3.77 # ...aggressively subsumed : 0
% 24.62/3.77 # Contextual simplify-reflections : 14
% 24.62/3.77 # Paramodulations : 106401
% 24.62/3.77 # Factorizations : 6
% 24.62/3.77 # NegExts : 0
% 24.62/3.77 # Equation resolutions : 2128
% 24.62/3.77 # Disequality decompositions : 0
% 24.62/3.77 # Total rewrite steps : 55783
% 24.62/3.77 # ...of those cached : 46365
% 24.62/3.77 # Propositional unsat checks : 1
% 24.62/3.77 # Propositional check models : 0
% 24.62/3.77 # Propositional check unsatisfiable : 1
% 24.62/3.77 # Propositional clauses : 85206
% 24.62/3.77 # Propositional clauses after purity: 14578
% 24.62/3.77 # Propositional unsat core size : 6
% 24.62/3.77 # Propositional preprocessing time : 0.000
% 24.62/3.77 # Propositional encoding time : 0.191
% 24.62/3.77 # Propositional solver time : 0.076
% 24.62/3.77 # Success case prop preproc time : 0.000
% 24.62/3.77 # Success case prop encoding time : 0.191
% 24.62/3.77 # Success case prop solver time : 0.076
% 24.62/3.77 # Current number of processed clauses : 3329
% 24.62/3.77 # Positive orientable unit clauses : 562
% 24.62/3.77 # Positive unorientable unit clauses: 36
% 24.62/3.77 # Negative unit clauses : 377
% 24.62/3.77 # Non-unit-clauses : 2354
% 24.62/3.77 # Current number of unprocessed clauses: 81877
% 24.62/3.77 # ...number of literals in the above : 190701
% 24.62/3.77 # Current number of archived formulas : 0
% 24.62/3.77 # Current number of archived clauses : 1510
% 24.62/3.77 # Clause-clause subsumption calls (NU) : 590876
% 24.62/3.77 # Rec. Clause-clause subsumption calls : 337706
% 24.62/3.77 # Non-unit clause-clause subsumptions : 5592
% 24.62/3.77 # Unit Clause-clause subsumption calls : 19997
% 24.62/3.77 # Rewrite failures with RHS unbound : 0
% 24.62/3.77 # BW rewrite match attempts : 7904
% 24.62/3.77 # BW rewrite match successes : 606
% 24.62/3.77 # Condensation attempts : 0
% 24.62/3.77 # Condensation successes : 0
% 24.62/3.77 # Termbank termtop insertions : 3272547
% 24.62/3.77 # Search garbage collected termcells : 20473
% 24.62/3.77
% 24.62/3.77 # -------------------------------------------------
% 24.62/3.77 # User time : 2.937 s
% 24.62/3.77 # System time : 0.092 s
% 24.62/3.77 # Total time : 3.029 s
% 24.62/3.77 # Maximum resident set size: 8444 pages
% 24.62/3.77
% 24.62/3.77 # -------------------------------------------------
% 24.62/3.77 # User time : 14.541 s
% 24.62/3.77 # System time : 0.504 s
% 24.62/3.77 # Total time : 15.045 s
% 24.62/3.77 # Maximum resident set size: 3100 pages
% 24.62/3.77 % E---3.1 exiting
% 24.62/3.77 % E exiting
%------------------------------------------------------------------------------