TSTP Solution File: SWW245+1 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SWW245+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% 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 : 600s
% DateTime : Thu Jul 21 01:23:04 EDT 2022
% Result : Theorem 3.98s 0.90s
% Output : Proof 3.98s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
( ~ sPE(hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),sK31(sK3,sK4,sK5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),sK31(sK3,sK4,sK5)),sK3)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,sK4,sK5)),sK31(sK3,sK4,sK5))))
| sPE(sK4,c_Groups_Ozero__class_Ozero(t_a))
| sPE(c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| sP20(sK3,sK5) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)]) ).
cnf(g1,plain,
( ~ class_Rings_Oidom(t_a)
| sPE(hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),sK31(sK3,sK4,sK5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),sK31(sK3,sK4,sK5)),sK3)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,sK4,sK5)),sK31(sK3,sK4,sK5))))
| sPE(v_c____,c_Groups_Ozero__class_Ozero(t_a)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.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)]) ).
cnf(g2,plain,
( ~ sPE(hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),sK31(sK6,sK7,sK8)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),sK31(sK6,sK7,sK8)),sK6)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,sK7,sK8)),sK31(sK6,sK7,sK8))))
| sPE(sK7,c_Groups_Ozero__class_Ozero(t_a))
| sPE(c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| sP20(sK6,sK8) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)]) ).
cnf(g3,plain,
( ~ sPE(v_c____,c_Groups_Ozero__class_Ozero(t_a))
| ~ class_Rings_Oidom(t_a)
| sPE(hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),sK31(sK6,sK7,sK8)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),sK31(sK6,sK7,sK8)),sK6)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,sK7,sK8)),sK31(sK6,sK7,sK8)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.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)]) ).
cnf(g4,plain,
( ~ sPE(v_c____,c_Groups_Ozero__class_Ozero(t_a))
| ~ class_Rings_Oidom(t_a)
| sPE(c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| sPE(c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK8,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,sK8))),sK6)),c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.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)]) ).
cnf(g5,plain,
( ~ sPE(hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),sK31(sK3,sK4,sK5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),sK31(sK3,sK4,sK5)),sK3)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,sK4,sK5)),sK31(sK3,sK4,sK5))))
| ~ sPE(c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK5,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,sK5))),sK3)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| sPE(sK4,c_Groups_Ozero__class_Ozero(t_a))
| sP20(sK3,sK5) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)]) ).
cnf(g6,plain,
( ~ sPE(hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),sK31(sK6,sK7,sK8)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),sK31(sK6,sK7,sK8)),sK6)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,sK7,sK8)),sK31(sK6,sK7,sK8))))
| ~ sPE(c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK8,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,sK8))),sK6)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| sPE(sK7,c_Groups_Ozero__class_Ozero(t_a))
| sP20(sK6,sK8) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)]) ).
cnf(g7,plain,
( ~ sPE(sK4,c_Groups_Ozero__class_Ozero(t_a))
| ~ class_Rings_Oidom(t_a)
| sPE(v_c____,c_Groups_Ozero__class_Ozero(t_a)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.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)]) ).
cnf(g8,plain,
( ~ class_Rings_Oidom(t_a)
| sPE(c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| sPE(v_c____,c_Groups_Ozero__class_Ozero(t_a))
| sPE(c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK5,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,sK5))),sK3)),c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.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)]) ).
cnf(g9,plain,
( ~ sPE(c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK5,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,sK5))),sK3)),c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))))
| ~ sP20(sK3,sK5) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)]) ).
cnf(g10,plain,
( ~ sPE(c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK8,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,sK8))),sK6)),c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))))
| ~ sP20(sK6,sK8) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)]) ).
cnf(g11,plain,
class_Rings_Oidom(t_a),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0)]) ).
cnf(g12,plain,
( ~ sPE(c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| ~ sP20(sK6,sK8) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)]) ).
cnf(g13,plain,
( ~ sPE(c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| ~ class_Rings_Oidom(t_a)
| sPE(v_c____,c_Groups_Ozero__class_Ozero(t_a))
| sPE(c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK5,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,sK5))),sK3)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.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)]) ).
cnf(g14,plain,
( ~ sPE(v_c____,c_Groups_Ozero__class_Ozero(t_a))
| ~ sPE(sK7,c_Groups_Ozero__class_Ozero(t_a))
| ~ class_Rings_Oidom(t_a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.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)]) ).
cnf(g15,plain,
( ~ sPE(c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| ~ sP20(sK3,sK5) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)]) ).
cnf(g16,plain,
( ~ sPE(c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
| ~ sPE(v_c____,c_Groups_Ozero__class_Ozero(t_a))
| ~ class_Rings_Oidom(t_a)
| sPE(c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK8,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,sK8))),sK6)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.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)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW245+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 6 06:32:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.98/0.90 % symbols: 168
% 3.98/0.90 % clauses: 1701
% 3.98/0.90 % start clauses: 2
% 3.98/0.90 % iterative deepening steps: 338
% 3.98/0.90 % maximum path limit: 2
% 3.98/0.90 % literal attempts: 274728
% 3.98/0.90 % depth failures: 255022
% 3.98/0.90 % regularity failures: 3505
% 3.98/0.90 % tautology failures: 939
% 3.98/0.90 % reductions: 7640
% 3.98/0.90 % extensions: 266986
% 3.98/0.90 % SAT variables: 142788
% 3.98/0.90 % SAT clauses: 126184
% 3.98/0.90 % WalkSAT solutions: 126177
% 3.98/0.90 % CDCL solutions: 1
% 3.98/0.90 % SZS status Theorem for theBenchmark
% 3.98/0.90 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------