%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : KRS052+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:01:24 PM UTC 2026
% Result : Satisfiable 0.38s 0.68s
% Output : Saturation 0.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_26ERROR: Could not build tree for root c_0_65ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_24,plain,
( ~ rr_N_times_M_to_1(X1,X2)
| cinfinite(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_25,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| rr_N_times_M_to_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_27,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| cinfinite(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]),
[final] ).
cnf(c_0_28,plain,
( ~ rinvR_N_times_M_to_1(X7,X1)
| ~ rinvR_N_times_M_to_1(X7,X2)
| ~ rinvR_N_times_M_to_1(X7,X3)
| ~ rinvR_N_times_M_to_1(X7,X4)
| ~ rinvR_N_times_M_to_1(X7,X5)
| ~ rinvR_N_times_M_to_1(X7,X6)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X6
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2 ),
inference(csr,[status(thm)],[c_0_26,c_0_27]),
[final] ).
cnf(c_0_29,plain,
( ~ cinfinite(X1)
| rinvR_N_times_M_to_1(X1,esk15_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_30,plain,
( ~ rinvR_N_times_M_to_1(X2,X6)
| ~ rinvR_N_times_M_to_1(X2,X5)
| ~ rinvR_N_times_M_to_1(X2,X4)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X1)
| X6 = X5
| X6 = X4
| X6 = X3
| X6 = X1
| X5 = X4
| X5 = X3
| X5 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| X6 = esk15_1(X2)
| X5 = esk15_1(X2)
| X4 = esk15_1(X2)
| X3 = esk15_1(X2)
| X1 = esk15_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_27]),
[final] ).
cnf(c_0_31,plain,
( ~ cinfinite(X1)
| rinvR_N_times_M_to_1(X1,esk14_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_35,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X5 = esk15_1(X1)
| X4 = esk15_1(X1)
| X3 = esk15_1(X1)
| X2 = esk15_1(X1)
| X5 = esk14_1(X1)
| X4 = esk14_1(X1)
| X3 = esk14_1(X1)
| X2 = esk14_1(X1)
| esk15_1(X1) = esk14_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_27]),
[final] ).
cnf(c_0_36,plain,
( ~ cinfinite(X1)
| rinvR_N_times_M_to_1(X1,esk13_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_38,plain,
( ~ rq_M_to_1(X1,X2)
| ccardinality_N(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]),
[final] ).
cnf(c_0_39,plain,
( ~ rinvQ_1_to_M(X1,X2)
| rq_M_to_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]),
[final] ).
cnf(c_0_40,plain,
( ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| X4 = X3
| X4 = X2
| X3 = X2
| X4 = esk14_1(X1)
| X3 = esk14_1(X1)
| X2 = esk14_1(X1)
| X4 = esk15_1(X1)
| X3 = esk15_1(X1)
| X2 = esk15_1(X1)
| X4 = esk13_1(X1)
| X3 = esk13_1(X1)
| X2 = esk13_1(X1)
| esk15_1(X1) = esk14_1(X1)
| esk14_1(X1) = esk13_1(X1)
| esk15_1(X1) = esk13_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_27]),
[final] ).
cnf(c_0_41,plain,
( ~ cinfinite(X1)
| rinvR_N_times_M_to_1(X1,esk12_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_44,plain,
( ~ rinvQ_1_to_M(X1,X2)
| ccardinality_N(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]),
[final] ).
cnf(c_0_48,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| X2 = X3
| X3 = esk13_1(X1)
| X2 = esk13_1(X1)
| X3 = esk15_1(X1)
| X2 = esk15_1(X1)
| X3 = esk14_1(X1)
| X2 = esk14_1(X1)
| X3 = esk12_1(X1)
| X2 = esk12_1(X1)
| esk15_1(X1) = esk13_1(X1)
| esk14_1(X1) = esk13_1(X1)
| esk15_1(X1) = esk14_1(X1)
| esk13_1(X1) = esk12_1(X1)
| esk15_1(X1) = esk12_1(X1)
| esk14_1(X1) = esk12_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_27]),
[final] ).
cnf(c_0_49,plain,
( ~ cinfinite(X1)
| rinvR_N_times_M_to_1(X1,esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_50,plain,
( ~ rr_N_times_M_to_1(X1,X2)
| rinvR_N_times_M_to_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_51,plain,
( ~ ccardinality_N_times_M(X1)
| rr_N_times_M_to_1(X1,esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]),
[final] ).
cnf(c_0_52,plain,
( ~ rinvQ_1_to_M(X5,X1)
| ~ rinvQ_1_to_M(X5,X2)
| ~ rinvQ_1_to_M(X5,X3)
| ~ rinvQ_1_to_M(X5,X4)
| X3 = X4
| X2 = X4
| X2 = X3
| X1 = X4
| X1 = X3
| X1 = X2 ),
inference(csr,[status(thm)],[c_0_43,c_0_44]),
[final] ).
cnf(c_0_53,plain,
( ~ ccardinality_N(X1)
| rinvQ_1_to_M(X1,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]),
[final] ).
cnf(c_0_55,plain,
( ~ rp_N_to_1(X1,X2)
| cinfinite(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]),
[final] ).
cnf(c_0_56,plain,
( ~ rinvP_1_to_N(X1,X2)
| rp_N_to_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]),
[final] ).
cnf(c_0_65,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| X2 = esk12_1(X1)
| X2 = esk14_1(X1)
| X2 = esk15_1(X1)
| X2 = esk13_1(X1)
| X2 = esk11_1(X1)
| esk14_1(X1) = esk12_1(X1)
| esk15_1(X1) = esk12_1(X1)
| esk13_1(X1) = esk12_1(X1)
| esk15_1(X1) = esk14_1(X1)
| esk14_1(X1) = esk13_1(X1)
| esk15_1(X1) = esk13_1(X1)
| esk12_1(X1) = esk11_1(X1)
| esk14_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk11_1(X1)
| esk13_1(X1) = esk11_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_66,plain,
( ~ ccardinality_N_times_M(X1)
| rinvR_N_times_M_to_1(esk10_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]),
[final] ).
cnf(c_0_67,plain,
( ~ rinvQ_1_to_M(X2,X4)
| ~ rinvQ_1_to_M(X2,X3)
| ~ rinvQ_1_to_M(X2,X1)
| X4 = X3
| X4 = X1
| X3 = X1
| X4 = esk3_1(X2)
| X3 = esk3_1(X2)
| X1 = esk3_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_44]),
[final] ).
cnf(c_0_68,plain,
( ~ ccardinality_N(X1)
| rinvQ_1_to_M(X1,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]),
[final] ).
cnf(c_0_70,plain,
( ~ rinvP_1_to_N(X1,X2)
| cinfinite(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]),
[final] ).
cnf(c_0_71,plain,
( ~ rr_N_times_M_to_1(X1,X3)
| ~ rr_N_times_M_to_1(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_57]),
[final] ).
cnf(c_0_72,plain,
( ~ rr_N_times_M_to_1(X1,X2)
| ccardinality_N_times_M(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]),
[final] ).
cnf(c_0_73,plain,
( ~ rq_M_to_1(X1,X3)
| ~ rq_M_to_1(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_59]),
[final] ).
cnf(c_0_74,plain,
( ~ ccardinality_N_times_M(X1)
| rq_M_to_1(X1,esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]),
[final] ).
cnf(c_0_75,plain,
( ~ rq_M_to_1(X1,X2)
| ccardinality_N_times_M(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]),
[final] ).
cnf(c_0_76,plain,
( ~ rp_N_to_1(X1,X3)
| ~ rp_N_to_1(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_62]),
[final] ).
cnf(c_0_77,plain,
( ~ ccardinality_N(X1)
| rp_N_to_1(X1,esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_63]),
[final] ).
cnf(c_0_78,plain,
( ~ rp_N_to_1(X1,X2)
| ccardinality_N(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]),
[final] ).
cnf(c_0_79,plain,
( ~ cinfinite(X1)
| esk14_1(X1) != esk15_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_81,plain,
( ~ ccardinality_N_times_M(X1)
| cinfinite(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]),
[final] ).
cnf(c_0_82,plain,
( ~ rinvR_N_times_M_to_1(X2,X6)
| ~ rinvR_N_times_M_to_1(X2,X5)
| ~ rinvR_N_times_M_to_1(X2,X4)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X1)
| X6 = X5
| X6 = X4
| X6 = X3
| X6 = X1
| X5 = X4
| X5 = X3
| X5 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| X6 = esk14_1(X2)
| X5 = esk14_1(X2)
| X4 = esk14_1(X2)
| X3 = esk14_1(X2)
| X1 = esk14_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_31]),c_0_27]),
[final] ).
cnf(c_0_83,plain,
( ~ rinvQ_1_to_M(X1,X2)
| ~ rinvQ_1_to_M(X1,X3)
| X2 = X3
| X3 = esk3_1(X1)
| X2 = esk3_1(X1)
| X3 = esk2_1(X1)
| X2 = esk2_1(X1)
| esk3_1(X1) = esk2_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_44]),
[final] ).
cnf(c_0_84,plain,
( ~ ccardinality_N(X1)
| rinvQ_1_to_M(X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]),
[final] ).
cnf(c_0_85,plain,
( ~ rq_M_to_1(X1,X2)
| rinvQ_1_to_M(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]),
[final] ).
cnf(c_0_86,plain,
( ~ rinvP_1_to_N(X4,X1)
| ~ rinvP_1_to_N(X4,X2)
| ~ rinvP_1_to_N(X4,X3)
| X2 = X3
| X1 = X3
| X1 = X2 ),
inference(csr,[status(thm)],[c_0_69,c_0_70]),
[final] ).
cnf(c_0_87,plain,
( ~ cinfinite(X1)
| rinvP_1_to_N(X1,esk23_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]),
[final] ).
cnf(c_0_88,plain,
( ~ rr_N_times_M_to_1(X2,X1)
| X1 = esk10_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_51]),c_0_72]),
[final] ).
cnf(c_0_89,plain,
( ~ rq_M_to_1(X2,X1)
| X1 = esk9_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),
[final] ).
cnf(c_0_90,plain,
( ~ rp_N_to_1(X2,X1)
| X1 = esk8_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),
[final] ).
cnf(c_0_91,plain,
( ~ cinfinite(X1)
| esk13_1(X1) != esk15_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_93,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X5 = esk14_1(X1)
| X4 = esk14_1(X1)
| X3 = esk14_1(X1)
| X2 = esk14_1(X1)
| X5 = esk13_1(X1)
| X4 = esk13_1(X1)
| X3 = esk13_1(X1)
| X2 = esk13_1(X1)
| esk14_1(X1) = esk13_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_36]),c_0_27]),
[final] ).
cnf(c_0_94,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X5 = esk15_1(X1)
| X4 = esk15_1(X1)
| X3 = esk15_1(X1)
| X2 = esk15_1(X1)
| X5 = esk13_1(X1)
| X4 = esk13_1(X1)
| X3 = esk13_1(X1)
| X2 = esk13_1(X1)
| esk15_1(X1) = esk13_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_36]),c_0_27]),
[final] ).
cnf(c_0_95,plain,
( ~ rinvR_N_times_M_to_1(X2,X6)
| ~ rinvR_N_times_M_to_1(X2,X5)
| ~ rinvR_N_times_M_to_1(X2,X4)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X1)
| X6 = X5
| X6 = X4
| X6 = X3
| X6 = X1
| X5 = X4
| X5 = X3
| X5 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| X6 = esk13_1(X2)
| X5 = esk13_1(X2)
| X4 = esk13_1(X2)
| X3 = esk13_1(X2)
| X1 = esk13_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_36]),c_0_27]),
[final] ).
cnf(c_0_96,plain,
( ~ rinvQ_1_to_M(X1,X2)
| X2 = esk2_1(X1)
| X2 = esk3_1(X1)
| X2 = esk1_1(X1)
| esk3_1(X1) = esk2_1(X1)
| esk2_1(X1) = esk1_1(X1)
| esk3_1(X1) = esk1_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_44]),
[final] ).
cnf(c_0_97,plain,
( ~ ccardinality_N_times_M(X1)
| rinvQ_1_to_M(esk9_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_74]),
[final] ).
cnf(c_0_98,plain,
( ~ rinvP_1_to_N(X2,X3)
| ~ rinvP_1_to_N(X2,X1)
| X3 = X1
| X3 = esk23_1(X2)
| X1 = esk23_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_70]),
[final] ).
cnf(c_0_99,plain,
( ~ cinfinite(X1)
| rinvP_1_to_N(X1,esk22_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]),
[final] ).
cnf(c_0_100,plain,
( ~ rp_N_to_1(X1,X2)
| rinvP_1_to_N(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]),
[final] ).
cnf(c_0_101,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| X1 = esk10_1(X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_25]),
[final] ).
cnf(c_0_102,plain,
( ~ rinvR_N_times_M_to_1(X2,X1)
| ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_25]),
[final] ).
cnf(c_0_103,plain,
( ~ rinvQ_1_to_M(X1,X2)
| X1 = esk9_1(X2) ),
inference(spm,[status(thm)],[c_0_89,c_0_39]),
[final] ).
cnf(c_0_104,plain,
( ~ rinvQ_1_to_M(X2,X1)
| ccardinality_N_times_M(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_39]),
[final] ).
cnf(c_0_105,plain,
( ~ rinvP_1_to_N(X1,X2)
| X1 = esk8_1(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_56]),
[final] ).
cnf(c_0_106,plain,
( ~ rinvP_1_to_N(X2,X1)
| ccardinality_N(X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_56]),
[final] ).
cnf(c_0_107,plain,
( ~ cinfinite(X1)
| esk12_1(X1) != esk15_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_109,plain,
( ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| X4 = X3
| X4 = X2
| X3 = X2
| X4 = esk13_1(X1)
| X3 = esk13_1(X1)
| X2 = esk13_1(X1)
| X4 = esk14_1(X1)
| X3 = esk14_1(X1)
| X2 = esk14_1(X1)
| X4 = esk12_1(X1)
| X3 = esk12_1(X1)
| X2 = esk12_1(X1)
| esk14_1(X1) = esk13_1(X1)
| esk13_1(X1) = esk12_1(X1)
| esk14_1(X1) = esk12_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_41]),c_0_27]),
[final] ).
cnf(c_0_110,plain,
( ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| X4 = X3
| X4 = X2
| X3 = X2
| X4 = esk13_1(X1)
| X3 = esk13_1(X1)
| X2 = esk13_1(X1)
| X4 = esk15_1(X1)
| X3 = esk15_1(X1)
| X2 = esk15_1(X1)
| X4 = esk12_1(X1)
| X3 = esk12_1(X1)
| X2 = esk12_1(X1)
| esk15_1(X1) = esk13_1(X1)
| esk13_1(X1) = esk12_1(X1)
| esk15_1(X1) = esk12_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_41]),c_0_27]),
[final] ).
cnf(c_0_111,plain,
( ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| X4 = X3
| X4 = X2
| X3 = X2
| X4 = esk14_1(X1)
| X3 = esk14_1(X1)
| X2 = esk14_1(X1)
| X4 = esk15_1(X1)
| X3 = esk15_1(X1)
| X2 = esk15_1(X1)
| X4 = esk12_1(X1)
| X3 = esk12_1(X1)
| X2 = esk12_1(X1)
| esk15_1(X1) = esk14_1(X1)
| esk14_1(X1) = esk12_1(X1)
| esk15_1(X1) = esk12_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_41]),c_0_27]),
[final] ).
cnf(c_0_112,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X5 = esk13_1(X1)
| X4 = esk13_1(X1)
| X3 = esk13_1(X1)
| X2 = esk13_1(X1)
| X5 = esk12_1(X1)
| X4 = esk12_1(X1)
| X3 = esk12_1(X1)
| X2 = esk12_1(X1)
| esk13_1(X1) = esk12_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_41]),c_0_27]),
[final] ).
cnf(c_0_113,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X5 = esk14_1(X1)
| X4 = esk14_1(X1)
| X3 = esk14_1(X1)
| X2 = esk14_1(X1)
| X5 = esk12_1(X1)
| X4 = esk12_1(X1)
| X3 = esk12_1(X1)
| X2 = esk12_1(X1)
| esk14_1(X1) = esk12_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_41]),c_0_27]),
[final] ).
cnf(c_0_114,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X5 = esk15_1(X1)
| X4 = esk15_1(X1)
| X3 = esk15_1(X1)
| X2 = esk15_1(X1)
| X5 = esk12_1(X1)
| X4 = esk12_1(X1)
| X3 = esk12_1(X1)
| X2 = esk12_1(X1)
| esk15_1(X1) = esk12_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_41]),c_0_27]),
[final] ).
cnf(c_0_115,plain,
( ~ rinvR_N_times_M_to_1(X2,X6)
| ~ rinvR_N_times_M_to_1(X2,X5)
| ~ rinvR_N_times_M_to_1(X2,X4)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X1)
| X6 = X5
| X6 = X4
| X6 = X3
| X6 = X1
| X5 = X4
| X5 = X3
| X5 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| X6 = esk12_1(X2)
| X5 = esk12_1(X2)
| X4 = esk12_1(X2)
| X3 = esk12_1(X2)
| X1 = esk12_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_41]),c_0_27]),
[final] ).
cnf(c_0_116,plain,
( ~ ccardinality_N(X1)
| esk2_1(X1) != esk3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]),
[final] ).
cnf(c_0_118,plain,
( ~ ccardinality_N_times_M(X1)
| ccardinality_N(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]),
[final] ).
cnf(c_0_119,plain,
( ~ rinvQ_1_to_M(X2,X4)
| ~ rinvQ_1_to_M(X2,X3)
| ~ rinvQ_1_to_M(X2,X1)
| X4 = X3
| X4 = X1
| X3 = X1
| X4 = esk2_1(X2)
| X3 = esk2_1(X2)
| X1 = esk2_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_68]),c_0_44]),
[final] ).
cnf(c_0_120,plain,
( ~ rinvP_1_to_N(X1,X2)
| X2 = esk23_1(X1)
| X2 = esk22_1(X1)
| esk23_1(X1) = esk22_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_70]),
[final] ).
cnf(c_0_121,plain,
( ~ ccardinality_N(X1)
| rinvP_1_to_N(esk8_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_77]),
[final] ).
cnf(c_0_122,plain,
( ~ cinfinite(X1)
| esk10_1(esk11_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_101,c_0_49]),
[final] ).
cnf(c_0_123,plain,
( ~ cinfinite(X1)
| ccardinality_N_times_M(esk11_1(X1)) ),
inference(spm,[status(thm)],[c_0_102,c_0_49]),
[final] ).
cnf(c_0_124,plain,
( ~ cinfinite(X1)
| esk10_1(esk12_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_101,c_0_41]),
[final] ).
cnf(c_0_125,plain,
( ~ cinfinite(X1)
| ccardinality_N_times_M(esk12_1(X1)) ),
inference(spm,[status(thm)],[c_0_102,c_0_41]),
[final] ).
cnf(c_0_126,plain,
( ~ cinfinite(X1)
| esk10_1(esk13_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_101,c_0_36]),
[final] ).
cnf(c_0_127,plain,
( ~ cinfinite(X1)
| ccardinality_N_times_M(esk13_1(X1)) ),
inference(spm,[status(thm)],[c_0_102,c_0_36]),
[final] ).
cnf(c_0_128,plain,
( ~ cinfinite(X1)
| esk10_1(esk14_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_101,c_0_31]),
[final] ).
cnf(c_0_129,plain,
( ~ cinfinite(X1)
| ccardinality_N_times_M(esk14_1(X1)) ),
inference(spm,[status(thm)],[c_0_102,c_0_31]),
[final] ).
cnf(c_0_130,plain,
( ~ cinfinite(X1)
| esk10_1(esk15_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_101,c_0_29]),
[final] ).
cnf(c_0_131,plain,
( ~ cinfinite(X1)
| ccardinality_N_times_M(esk15_1(X1)) ),
inference(spm,[status(thm)],[c_0_102,c_0_29]),
[final] ).
cnf(c_0_132,plain,
( ~ ccardinality_N(X1)
| esk9_1(esk1_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_103,c_0_84]),
[final] ).
cnf(c_0_133,plain,
( ~ ccardinality_N(X1)
| ccardinality_N_times_M(esk1_1(X1)) ),
inference(spm,[status(thm)],[c_0_104,c_0_84]),
[final] ).
cnf(c_0_134,plain,
( ~ ccardinality_N(X1)
| esk9_1(esk2_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_103,c_0_68]),
[final] ).
cnf(c_0_135,plain,
( ~ ccardinality_N(X1)
| ccardinality_N_times_M(esk2_1(X1)) ),
inference(spm,[status(thm)],[c_0_104,c_0_68]),
[final] ).
cnf(c_0_136,plain,
( ~ ccardinality_N(X1)
| esk9_1(esk3_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_103,c_0_53]),
[final] ).
cnf(c_0_137,plain,
( ~ ccardinality_N(X1)
| ccardinality_N_times_M(esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_104,c_0_53]),
[final] ).
cnf(c_0_138,plain,
( ~ cinfinite(X1)
| esk8_1(esk22_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_105,c_0_99]),
[final] ).
cnf(c_0_139,plain,
( ~ cinfinite(X1)
| ccardinality_N(esk22_1(X1)) ),
inference(spm,[status(thm)],[c_0_106,c_0_99]),
[final] ).
cnf(c_0_140,plain,
( ~ cinfinite(X1)
| esk8_1(esk23_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_105,c_0_87]),
[final] ).
cnf(c_0_141,plain,
( ~ cinfinite(X1)
| ccardinality_N(esk23_1(X1)) ),
inference(spm,[status(thm)],[c_0_106,c_0_87]),
[final] ).
cnf(c_0_144,plain,
( ~ cinfinite(X1)
| esk11_1(X1) != esk15_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_146,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| X2 = X3
| X3 = esk12_1(X1)
| X2 = esk12_1(X1)
| X3 = esk14_1(X1)
| X2 = esk14_1(X1)
| X3 = esk13_1(X1)
| X2 = esk13_1(X1)
| X3 = esk11_1(X1)
| X2 = esk11_1(X1)
| esk14_1(X1) = esk12_1(X1)
| esk13_1(X1) = esk12_1(X1)
| esk14_1(X1) = esk13_1(X1)
| esk12_1(X1) = esk11_1(X1)
| esk14_1(X1) = esk11_1(X1)
| esk13_1(X1) = esk11_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_147,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| X2 = X3
| X3 = esk12_1(X1)
| X2 = esk12_1(X1)
| X3 = esk15_1(X1)
| X2 = esk15_1(X1)
| X3 = esk13_1(X1)
| X2 = esk13_1(X1)
| X3 = esk11_1(X1)
| X2 = esk11_1(X1)
| esk15_1(X1) = esk12_1(X1)
| esk13_1(X1) = esk12_1(X1)
| esk15_1(X1) = esk13_1(X1)
| esk12_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk11_1(X1)
| esk13_1(X1) = esk11_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_148,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| X2 = X3
| X3 = esk12_1(X1)
| X2 = esk12_1(X1)
| X3 = esk15_1(X1)
| X2 = esk15_1(X1)
| X3 = esk14_1(X1)
| X2 = esk14_1(X1)
| X3 = esk11_1(X1)
| X2 = esk11_1(X1)
| esk15_1(X1) = esk12_1(X1)
| esk14_1(X1) = esk12_1(X1)
| esk15_1(X1) = esk14_1(X1)
| esk12_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk11_1(X1)
| esk14_1(X1) = esk11_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_149,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| X2 = X3
| X3 = esk13_1(X1)
| X2 = esk13_1(X1)
| X3 = esk15_1(X1)
| X2 = esk15_1(X1)
| X3 = esk14_1(X1)
| X2 = esk14_1(X1)
| X3 = esk11_1(X1)
| X2 = esk11_1(X1)
| esk15_1(X1) = esk13_1(X1)
| esk14_1(X1) = esk13_1(X1)
| esk15_1(X1) = esk14_1(X1)
| esk13_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk11_1(X1)
| esk14_1(X1) = esk11_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_150,plain,
( ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| X4 = X3
| X4 = X2
| X3 = X2
| X4 = esk12_1(X1)
| X3 = esk12_1(X1)
| X2 = esk12_1(X1)
| X4 = esk13_1(X1)
| X3 = esk13_1(X1)
| X2 = esk13_1(X1)
| X4 = esk11_1(X1)
| X3 = esk11_1(X1)
| X2 = esk11_1(X1)
| esk13_1(X1) = esk12_1(X1)
| esk12_1(X1) = esk11_1(X1)
| esk13_1(X1) = esk11_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_151,plain,
( ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| X4 = X3
| X4 = X2
| X3 = X2
| X4 = esk12_1(X1)
| X3 = esk12_1(X1)
| X2 = esk12_1(X1)
| X4 = esk14_1(X1)
| X3 = esk14_1(X1)
| X2 = esk14_1(X1)
| X4 = esk11_1(X1)
| X3 = esk11_1(X1)
| X2 = esk11_1(X1)
| esk14_1(X1) = esk12_1(X1)
| esk12_1(X1) = esk11_1(X1)
| esk14_1(X1) = esk11_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_152,plain,
( ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| X4 = X3
| X4 = X2
| X3 = X2
| X4 = esk13_1(X1)
| X3 = esk13_1(X1)
| X2 = esk13_1(X1)
| X4 = esk14_1(X1)
| X3 = esk14_1(X1)
| X2 = esk14_1(X1)
| X4 = esk11_1(X1)
| X3 = esk11_1(X1)
| X2 = esk11_1(X1)
| esk14_1(X1) = esk13_1(X1)
| esk13_1(X1) = esk11_1(X1)
| esk14_1(X1) = esk11_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_153,plain,
( ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| X4 = X3
| X4 = X2
| X3 = X2
| X4 = esk12_1(X1)
| X3 = esk12_1(X1)
| X2 = esk12_1(X1)
| X4 = esk15_1(X1)
| X3 = esk15_1(X1)
| X2 = esk15_1(X1)
| X4 = esk11_1(X1)
| X3 = esk11_1(X1)
| X2 = esk11_1(X1)
| esk15_1(X1) = esk12_1(X1)
| esk12_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk11_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_154,plain,
( ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| X4 = X3
| X4 = X2
| X3 = X2
| X4 = esk13_1(X1)
| X3 = esk13_1(X1)
| X2 = esk13_1(X1)
| X4 = esk15_1(X1)
| X3 = esk15_1(X1)
| X2 = esk15_1(X1)
| X4 = esk11_1(X1)
| X3 = esk11_1(X1)
| X2 = esk11_1(X1)
| esk15_1(X1) = esk13_1(X1)
| esk13_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk11_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_155,plain,
( ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| X4 = X3
| X4 = X2
| X3 = X2
| X4 = esk14_1(X1)
| X3 = esk14_1(X1)
| X2 = esk14_1(X1)
| X4 = esk15_1(X1)
| X3 = esk15_1(X1)
| X2 = esk15_1(X1)
| X4 = esk11_1(X1)
| X3 = esk11_1(X1)
| X2 = esk11_1(X1)
| esk15_1(X1) = esk14_1(X1)
| esk14_1(X1) = esk11_1(X1)
| esk15_1(X1) = esk11_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_156,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X5 = esk12_1(X1)
| X4 = esk12_1(X1)
| X3 = esk12_1(X1)
| X2 = esk12_1(X1)
| X5 = esk11_1(X1)
| X4 = esk11_1(X1)
| X3 = esk11_1(X1)
| X2 = esk11_1(X1)
| esk12_1(X1) = esk11_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_157,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X5 = esk13_1(X1)
| X4 = esk13_1(X1)
| X3 = esk13_1(X1)
| X2 = esk13_1(X1)
| X5 = esk11_1(X1)
| X4 = esk11_1(X1)
| X3 = esk11_1(X1)
| X2 = esk11_1(X1)
| esk13_1(X1) = esk11_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_158,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X5 = esk14_1(X1)
| X4 = esk14_1(X1)
| X3 = esk14_1(X1)
| X2 = esk14_1(X1)
| X5 = esk11_1(X1)
| X4 = esk11_1(X1)
| X3 = esk11_1(X1)
| X2 = esk11_1(X1)
| esk14_1(X1) = esk11_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_159,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X5)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X5 = esk15_1(X1)
| X4 = esk15_1(X1)
| X3 = esk15_1(X1)
| X2 = esk15_1(X1)
| X5 = esk11_1(X1)
| X4 = esk11_1(X1)
| X3 = esk11_1(X1)
| X2 = esk11_1(X1)
| esk15_1(X1) = esk11_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_160,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X6)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X5)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X1)
| X6 = X5
| X6 = X4
| X6 = X3
| X6 = X1
| X6 = X2
| X5 = X4
| X5 = X3
| X5 = X1
| X5 = X2
| X4 = X3
| X4 = X1
| X4 = X2
| X3 = X1
| X3 = X2
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_28,c_0_66]),
[final] ).
cnf(c_0_161,plain,
( ~ ccardinality_N(X1)
| esk1_1(X1) != esk3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]),
[final] ).
cnf(c_0_163,plain,
( ~ rinvQ_1_to_M(X1,X2)
| ~ rinvQ_1_to_M(X1,X3)
| X2 = X3
| X3 = esk2_1(X1)
| X2 = esk2_1(X1)
| X3 = esk1_1(X1)
| X2 = esk1_1(X1)
| esk2_1(X1) = esk1_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_84]),c_0_44]),
[final] ).
cnf(c_0_164,plain,
( ~ rinvQ_1_to_M(X1,X2)
| ~ rinvQ_1_to_M(X1,X3)
| X2 = X3
| X3 = esk3_1(X1)
| X2 = esk3_1(X1)
| X3 = esk1_1(X1)
| X2 = esk1_1(X1)
| esk3_1(X1) = esk1_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_84]),c_0_44]),
[final] ).
cnf(c_0_165,plain,
( ~ rinvQ_1_to_M(X2,X4)
| ~ rinvQ_1_to_M(X2,X3)
| ~ rinvQ_1_to_M(X2,X1)
| X4 = X3
| X4 = X1
| X3 = X1
| X4 = esk1_1(X2)
| X3 = esk1_1(X2)
| X1 = esk1_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_84]),c_0_44]),
[final] ).
cnf(c_0_166,plain,
( ~ rinvP_1_to_N(X2,X3)
| ~ rinvP_1_to_N(X2,X1)
| X3 = X1
| X3 = esk22_1(X2)
| X1 = esk22_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_99]),c_0_70]),
[final] ).
cnf(c_0_167,plain,
( ~ cinfinite(X1)
| esk22_1(X1) != esk23_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]),
[final] ).
cnf(c_0_169,plain,
( ~ ccardinality_N(X1)
| cinfinite(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_63]),
[final] ).
cnf(c_0_170,plain,
( ~ cinfinite(X1)
| rr_N_times_M_to_1(esk11_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_122]),c_0_123]),
[final] ).
cnf(c_0_171,plain,
( ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rr_N_times_M_to_1(X3,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_71,c_0_25]),
[final] ).
cnf(c_0_172,plain,
( ~ cinfinite(X1)
| rr_N_times_M_to_1(esk12_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_124]),c_0_125]),
[final] ).
cnf(c_0_173,plain,
( ~ cinfinite(X1)
| rr_N_times_M_to_1(esk13_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_126]),c_0_127]),
[final] ).
cnf(c_0_174,plain,
( ~ cinfinite(X1)
| rr_N_times_M_to_1(esk14_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_128]),c_0_129]),
[final] ).
cnf(c_0_175,plain,
( ~ cinfinite(X1)
| rr_N_times_M_to_1(esk15_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_130]),c_0_131]),
[final] ).
cnf(c_0_176,plain,
( ~ ccardinality_N(X1)
| rq_M_to_1(esk1_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_132]),c_0_133]),
[final] ).
cnf(c_0_177,plain,
( ~ rinvQ_1_to_M(X2,X3)
| ~ rq_M_to_1(X3,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_73,c_0_39]),
[final] ).
cnf(c_0_178,plain,
( ~ ccardinality_N(X1)
| rq_M_to_1(esk2_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_134]),c_0_135]),
[final] ).
cnf(c_0_179,plain,
( ~ ccardinality_N(X1)
| rq_M_to_1(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_136]),c_0_137]),
[final] ).
cnf(c_0_180,plain,
( ~ cinfinite(X1)
| rp_N_to_1(esk22_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_138]),c_0_139]),
[final] ).
cnf(c_0_181,plain,
( ~ rinvP_1_to_N(X2,X3)
| ~ rp_N_to_1(X3,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_76,c_0_56]),
[final] ).
cnf(c_0_182,plain,
( ~ cinfinite(X1)
| rp_N_to_1(esk23_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_140]),c_0_141]),
[final] ).
cnf(c_0_185,plain,
( ~ ccardinality_N_times_M(X1)
| esk11_1(esk10_1(X1)) = X1
| esk13_1(esk10_1(X1)) = X1
| esk15_1(esk10_1(X1)) = X1
| esk14_1(esk10_1(X1)) = X1
| esk12_1(esk10_1(X1)) = X1
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_81]),
[final] ).
cnf(c_0_186,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X2 = X1
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_146,c_0_66]),
[final] ).
cnf(c_0_187,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X2 = X1
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_147,c_0_66]),
[final] ).
cnf(c_0_188,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X2 = X1
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_148,c_0_66]),
[final] ).
cnf(c_0_189,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X2 = X1
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk13_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_149,c_0_66]),
[final] ).
cnf(c_0_190,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X2 = X1
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk13_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_48,c_0_66]),
[final] ).
cnf(c_0_191,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| X3 = X1
| X2 = X1
| X2 = X3
| esk11_1(esk10_1(X1)) = X1
| X3 = esk11_1(esk10_1(X1))
| X2 = esk11_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X3 = esk13_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X3 = esk12_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_150,c_0_66]),
[final] ).
cnf(c_0_192,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| X3 = X1
| X2 = X1
| X2 = X3
| esk11_1(esk10_1(X1)) = X1
| X3 = esk11_1(esk10_1(X1))
| X2 = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X3 = esk14_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X3 = esk12_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_151,c_0_66]),
[final] ).
cnf(c_0_193,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| X3 = X1
| X2 = X1
| X2 = X3
| esk11_1(esk10_1(X1)) = X1
| X3 = esk11_1(esk10_1(X1))
| X2 = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X3 = esk14_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X3 = esk13_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_152,c_0_66]),
[final] ).
cnf(c_0_194,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| X3 = X1
| X2 = X1
| X2 = X3
| esk12_1(esk10_1(X1)) = X1
| X3 = esk12_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X3 = esk14_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X3 = esk13_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_109,c_0_66]),
[final] ).
cnf(c_0_195,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| X3 = X1
| X2 = X1
| X2 = X3
| esk11_1(esk10_1(X1)) = X1
| X3 = esk11_1(esk10_1(X1))
| X2 = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X3 = esk15_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X3 = esk12_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_153,c_0_66]),
[final] ).
cnf(c_0_196,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| X3 = X1
| X2 = X1
| X2 = X3
| esk11_1(esk10_1(X1)) = X1
| X3 = esk11_1(esk10_1(X1))
| X2 = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X3 = esk15_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X3 = esk13_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk13_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_154,c_0_66]),
[final] ).
cnf(c_0_197,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| X3 = X1
| X2 = X1
| X2 = X3
| esk12_1(esk10_1(X1)) = X1
| X3 = esk12_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X3 = esk15_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X3 = esk13_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk13_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_110,c_0_66]),
[final] ).
cnf(c_0_198,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| X3 = X1
| X2 = X1
| X2 = X3
| esk11_1(esk10_1(X1)) = X1
| X3 = esk11_1(esk10_1(X1))
| X2 = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X3 = esk15_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X3 = esk14_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk14_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_155,c_0_66]),
[final] ).
cnf(c_0_199,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| X3 = X1
| X2 = X1
| X2 = X3
| esk12_1(esk10_1(X1)) = X1
| X3 = esk12_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X3 = esk15_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X3 = esk14_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk14_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_111,c_0_66]),
[final] ).
cnf(c_0_200,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| X3 = X1
| X2 = X1
| X2 = X3
| esk13_1(esk10_1(X1)) = X1
| X3 = esk13_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X3 = esk15_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X3 = esk14_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = esk14_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_66]),
[final] ).
cnf(c_0_201,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X4 = X3
| X4 = X2
| X4 = X1
| X3 = X2
| X3 = X1
| X2 = X1
| X4 = esk11_1(esk10_1(X1))
| X3 = esk11_1(esk10_1(X1))
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X4 = esk12_1(esk10_1(X1))
| X3 = esk12_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| esk12_1(esk10_1(X1)) = esk11_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_156,c_0_66]),
[final] ).
cnf(c_0_202,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X4 = X3
| X4 = X2
| X4 = X1
| X3 = X2
| X3 = X1
| X2 = X1
| X4 = esk11_1(esk10_1(X1))
| X3 = esk11_1(esk10_1(X1))
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X4 = esk13_1(esk10_1(X1))
| X3 = esk13_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| esk13_1(esk10_1(X1)) = esk11_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_157,c_0_66]),
[final] ).
cnf(c_0_203,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X4 = X3
| X4 = X2
| X4 = X1
| X3 = X2
| X3 = X1
| X2 = X1
| X4 = esk12_1(esk10_1(X1))
| X3 = esk12_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X4 = esk13_1(esk10_1(X1))
| X3 = esk13_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| esk13_1(esk10_1(X1)) = esk12_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_112,c_0_66]),
[final] ).
cnf(c_0_204,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X4 = X3
| X4 = X2
| X4 = X1
| X3 = X2
| X3 = X1
| X2 = X1
| X4 = esk11_1(esk10_1(X1))
| X3 = esk11_1(esk10_1(X1))
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X4 = esk14_1(esk10_1(X1))
| X3 = esk14_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| esk14_1(esk10_1(X1)) = esk11_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_158,c_0_66]),
[final] ).
cnf(c_0_205,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X4 = X3
| X4 = X2
| X4 = X1
| X3 = X2
| X3 = X1
| X2 = X1
| X4 = esk12_1(esk10_1(X1))
| X3 = esk12_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X4 = esk14_1(esk10_1(X1))
| X3 = esk14_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| esk14_1(esk10_1(X1)) = esk12_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_113,c_0_66]),
[final] ).
cnf(c_0_206,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X4 = X3
| X4 = X2
| X4 = X1
| X3 = X2
| X3 = X1
| X2 = X1
| X4 = esk13_1(esk10_1(X1))
| X3 = esk13_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X4 = esk14_1(esk10_1(X1))
| X3 = esk14_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| esk14_1(esk10_1(X1)) = esk13_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_93,c_0_66]),
[final] ).
cnf(c_0_207,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X4 = X3
| X4 = X2
| X4 = X1
| X3 = X2
| X3 = X1
| X2 = X1
| X4 = esk11_1(esk10_1(X1))
| X3 = esk11_1(esk10_1(X1))
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X4 = esk15_1(esk10_1(X1))
| X3 = esk15_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| esk15_1(esk10_1(X1)) = esk11_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_159,c_0_66]),
[final] ).
cnf(c_0_208,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X4 = X3
| X4 = X2
| X4 = X1
| X3 = X2
| X3 = X1
| X2 = X1
| X4 = esk12_1(esk10_1(X1))
| X3 = esk12_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X4 = esk15_1(esk10_1(X1))
| X3 = esk15_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| esk15_1(esk10_1(X1)) = esk12_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_114,c_0_66]),
[final] ).
cnf(c_0_209,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X4 = X3
| X4 = X2
| X4 = X1
| X3 = X2
| X3 = X1
| X2 = X1
| X4 = esk13_1(esk10_1(X1))
| X3 = esk13_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X4 = esk15_1(esk10_1(X1))
| X3 = esk15_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| esk15_1(esk10_1(X1)) = esk13_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_94,c_0_66]),
[final] ).
cnf(c_0_210,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X4 = X3
| X4 = X2
| X4 = X1
| X3 = X2
| X3 = X1
| X2 = X1
| X4 = esk14_1(esk10_1(X1))
| X3 = esk14_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X4 = esk15_1(esk10_1(X1))
| X3 = esk15_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| esk15_1(esk10_1(X1)) = esk14_1(esk10_1(X1)) ),
inference(spm,[status(thm)],[c_0_35,c_0_66]),
[final] ).
cnf(c_0_211,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X5)
| X5 = X2
| X4 = X2
| X4 = X5
| X3 = X2
| X3 = X5
| X3 = X4
| X1 = X2
| X1 = X5
| X1 = X4
| X1 = X3
| esk11_1(esk10_1(X2)) = X2
| X5 = esk11_1(esk10_1(X2))
| X4 = esk11_1(esk10_1(X2))
| X3 = esk11_1(esk10_1(X2))
| X1 = esk11_1(esk10_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_212,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X5)
| X5 = X2
| X4 = X2
| X4 = X5
| X3 = X2
| X3 = X5
| X3 = X4
| X1 = X2
| X1 = X5
| X1 = X4
| X1 = X3
| esk12_1(esk10_1(X2)) = X2
| X5 = esk12_1(esk10_1(X2))
| X4 = esk12_1(esk10_1(X2))
| X3 = esk12_1(esk10_1(X2))
| X1 = esk12_1(esk10_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_41]),c_0_27]),
[final] ).
cnf(c_0_213,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X5)
| X5 = X2
| X4 = X2
| X4 = X5
| X3 = X2
| X3 = X5
| X3 = X4
| X1 = X2
| X1 = X5
| X1 = X4
| X1 = X3
| esk13_1(esk10_1(X2)) = X2
| X5 = esk13_1(esk10_1(X2))
| X4 = esk13_1(esk10_1(X2))
| X3 = esk13_1(esk10_1(X2))
| X1 = esk13_1(esk10_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_36]),c_0_27]),
[final] ).
cnf(c_0_214,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X5)
| X5 = X2
| X4 = X2
| X4 = X5
| X3 = X2
| X3 = X5
| X3 = X4
| X1 = X2
| X1 = X5
| X1 = X4
| X1 = X3
| esk14_1(esk10_1(X2)) = X2
| X5 = esk14_1(esk10_1(X2))
| X4 = esk14_1(esk10_1(X2))
| X3 = esk14_1(esk10_1(X2))
| X1 = esk14_1(esk10_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_31]),c_0_27]),
[final] ).
cnf(c_0_215,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X5)
| X5 = X2
| X4 = X2
| X4 = X5
| X3 = X2
| X3 = X5
| X3 = X4
| X1 = X2
| X1 = X5
| X1 = X4
| X1 = X3
| esk15_1(esk10_1(X2)) = X2
| X5 = esk15_1(esk10_1(X2))
| X4 = esk15_1(esk10_1(X2))
| X3 = esk15_1(esk10_1(X2))
| X1 = esk15_1(esk10_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_29]),c_0_27]),
[final] ).
cnf(c_0_216,plain,
( ~ rinvR_N_times_M_to_1(X2,X6)
| ~ rinvR_N_times_M_to_1(X2,X5)
| ~ rinvR_N_times_M_to_1(X2,X4)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X1)
| X6 = X5
| X6 = X4
| X6 = X3
| X6 = X1
| X5 = X4
| X5 = X3
| X5 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| X6 = esk11_1(X2)
| X5 = esk11_1(X2)
| X4 = esk11_1(X2)
| X3 = esk11_1(X2)
| X1 = esk11_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_49]),c_0_27]),
[final] ).
cnf(c_0_217,plain,
( ~ ccardinality_N_times_M(X1)
| esk1_1(esk9_1(X1)) = X1
| esk3_1(esk9_1(X1)) = X1
| esk2_1(esk9_1(X1)) = X1
| esk2_1(esk9_1(X1)) = esk1_1(esk9_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_118]),
[final] ).
cnf(c_0_218,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvQ_1_to_M(esk9_1(X1),X2)
| X2 = X1
| X2 = esk1_1(esk9_1(X1))
| esk1_1(esk9_1(X1)) = X1
| X2 = esk2_1(esk9_1(X1))
| esk2_1(esk9_1(X1)) = X1
| esk2_1(esk9_1(X1)) = esk1_1(esk9_1(X1)) ),
inference(spm,[status(thm)],[c_0_163,c_0_97]),
[final] ).
cnf(c_0_219,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvQ_1_to_M(esk9_1(X1),X2)
| X2 = X1
| X2 = esk1_1(esk9_1(X1))
| esk1_1(esk9_1(X1)) = X1
| X2 = esk3_1(esk9_1(X1))
| esk3_1(esk9_1(X1)) = X1
| esk3_1(esk9_1(X1)) = esk1_1(esk9_1(X1)) ),
inference(spm,[status(thm)],[c_0_164,c_0_97]),
[final] ).
cnf(c_0_220,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvQ_1_to_M(esk9_1(X1),X2)
| X2 = X1
| X2 = esk2_1(esk9_1(X1))
| esk2_1(esk9_1(X1)) = X1
| X2 = esk3_1(esk9_1(X1))
| esk3_1(esk9_1(X1)) = X1
| esk3_1(esk9_1(X1)) = esk2_1(esk9_1(X1)) ),
inference(spm,[status(thm)],[c_0_83,c_0_97]),
[final] ).
cnf(c_0_221,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvQ_1_to_M(esk9_1(X2),X1)
| ~ rinvQ_1_to_M(esk9_1(X2),X3)
| X3 = X2
| X1 = X2
| X1 = X3
| esk1_1(esk9_1(X2)) = X2
| X3 = esk1_1(esk9_1(X2))
| X1 = esk1_1(esk9_1(X2)) ),
inference(spm,[status(thm)],[c_0_165,c_0_97]),
[final] ).
cnf(c_0_222,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvQ_1_to_M(esk9_1(X2),X1)
| ~ rinvQ_1_to_M(esk9_1(X2),X3)
| X3 = X2
| X1 = X2
| X1 = X3
| esk2_1(esk9_1(X2)) = X2
| X3 = esk2_1(esk9_1(X2))
| X1 = esk2_1(esk9_1(X2)) ),
inference(spm,[status(thm)],[c_0_119,c_0_97]),
[final] ).
cnf(c_0_223,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvQ_1_to_M(esk9_1(X2),X1)
| ~ rinvQ_1_to_M(esk9_1(X2),X3)
| X3 = X2
| X1 = X2
| X1 = X3
| esk3_1(esk9_1(X2)) = X2
| X3 = esk3_1(esk9_1(X2))
| X1 = esk3_1(esk9_1(X2)) ),
inference(spm,[status(thm)],[c_0_67,c_0_97]),
[final] ).
cnf(c_0_224,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvQ_1_to_M(esk9_1(X2),X4)
| ~ rinvQ_1_to_M(esk9_1(X2),X3)
| ~ rinvQ_1_to_M(esk9_1(X2),X1)
| X4 = X3
| X4 = X1
| X4 = X2
| X3 = X1
| X3 = X2
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_52,c_0_97]),
[final] ).
cnf(c_0_225,plain,
( ~ ccardinality_N(X2)
| ~ rinvP_1_to_N(esk8_1(X2),X1)
| X1 = X2
| esk22_1(esk8_1(X2)) = X2
| X1 = esk22_1(esk8_1(X2)) ),
inference(spm,[status(thm)],[c_0_166,c_0_121]),
[final] ).
cnf(c_0_226,plain,
( ~ ccardinality_N(X1)
| esk23_1(esk8_1(X1)) = X1
| esk22_1(esk8_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]),
[final] ).
cnf(c_0_227,plain,
( ~ ccardinality_N(X2)
| ~ rinvP_1_to_N(esk8_1(X2),X1)
| X1 = X2
| esk23_1(esk8_1(X2)) = X2
| X1 = esk23_1(esk8_1(X2)) ),
inference(spm,[status(thm)],[c_0_98,c_0_121]),
[final] ).
cnf(c_0_228,plain,
( ~ ccardinality_N(X2)
| ~ rinvP_1_to_N(esk8_1(X2),X3)
| ~ rinvP_1_to_N(esk8_1(X2),X1)
| X3 = X1
| X3 = X2
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_86,c_0_121]),
[final] ).
cnf(c_0_229,plain,
( ~ cinfinite(X2)
| ~ rr_N_times_M_to_1(esk11_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_71,c_0_170]),
[final] ).
cnf(c_0_230,plain,
( ~ cinfinite(X1)
| ~ rinvR_N_times_M_to_1(X2,esk11_1(X1))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_171,c_0_170]),
[final] ).
cnf(c_0_231,plain,
( ~ cinfinite(X2)
| ~ rr_N_times_M_to_1(esk12_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_71,c_0_172]),
[final] ).
cnf(c_0_232,plain,
( ~ cinfinite(X1)
| ~ rinvR_N_times_M_to_1(X2,esk12_1(X1))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_171,c_0_172]),
[final] ).
cnf(c_0_233,plain,
( ~ cinfinite(X2)
| ~ rr_N_times_M_to_1(esk13_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_71,c_0_173]),
[final] ).
cnf(c_0_234,plain,
( ~ cinfinite(X1)
| ~ rinvR_N_times_M_to_1(X2,esk13_1(X1))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_171,c_0_173]),
[final] ).
cnf(c_0_235,plain,
( ~ cinfinite(X2)
| ~ rr_N_times_M_to_1(esk14_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_71,c_0_174]),
[final] ).
cnf(c_0_236,plain,
( ~ cinfinite(X1)
| ~ rinvR_N_times_M_to_1(X2,esk14_1(X1))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_171,c_0_174]),
[final] ).
cnf(c_0_237,plain,
( ~ cinfinite(X2)
| ~ rr_N_times_M_to_1(esk15_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_71,c_0_175]),
[final] ).
cnf(c_0_238,plain,
( ~ cinfinite(X1)
| ~ rinvR_N_times_M_to_1(X2,esk15_1(X1))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_171,c_0_175]),
[final] ).
cnf(c_0_239,plain,
( ~ ccardinality_N(X2)
| ~ rq_M_to_1(esk1_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_73,c_0_176]),
[final] ).
cnf(c_0_240,plain,
( ~ ccardinality_N(X1)
| ~ rinvQ_1_to_M(X2,esk1_1(X1))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_177,c_0_176]),
[final] ).
cnf(c_0_241,plain,
( ~ ccardinality_N(X2)
| ~ rq_M_to_1(esk2_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_73,c_0_178]),
[final] ).
cnf(c_0_242,plain,
( ~ ccardinality_N(X1)
| ~ rinvQ_1_to_M(X2,esk2_1(X1))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_177,c_0_178]),
[final] ).
cnf(c_0_243,plain,
( ~ ccardinality_N(X2)
| ~ rq_M_to_1(esk3_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_73,c_0_179]),
[final] ).
cnf(c_0_244,plain,
( ~ ccardinality_N(X1)
| ~ rinvQ_1_to_M(X2,esk3_1(X1))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_177,c_0_179]),
[final] ).
cnf(c_0_245,plain,
( ~ cinfinite(X2)
| ~ rp_N_to_1(esk22_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_76,c_0_180]),
[final] ).
cnf(c_0_246,plain,
( ~ cinfinite(X1)
| ~ rinvP_1_to_N(X2,esk22_1(X1))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_181,c_0_180]),
[final] ).
cnf(c_0_247,plain,
( ~ cinfinite(X2)
| ~ rp_N_to_1(esk23_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_76,c_0_182]),
[final] ).
cnf(c_0_248,plain,
( ~ cinfinite(X1)
| ~ rinvP_1_to_N(X2,esk23_1(X1))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_181,c_0_182]),
[final] ).
cnf(c_0_249,plain,
( ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X2,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_171,c_0_25]),
[final] ).
cnf(c_0_250,plain,
( ~ rinvQ_1_to_M(X1,X3)
| ~ rinvQ_1_to_M(X2,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_177,c_0_39]),
[final] ).
cnf(c_0_251,plain,
( ~ rinvP_1_to_N(X1,X3)
| ~ rinvP_1_to_N(X2,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_181,c_0_56]),
[final] ).
cnf(c_0_252,plain,
( ~ cinfinite(X1)
| esk13_1(X1) != esk14_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_253,plain,
( ~ cinfinite(X1)
| esk12_1(X1) != esk14_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_254,plain,
( ~ cinfinite(X1)
| esk11_1(X1) != esk14_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_255,plain,
( ~ cinfinite(X1)
| esk12_1(X1) != esk13_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_256,plain,
( ~ cinfinite(X1)
| esk11_1(X1) != esk13_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_257,plain,
( ~ cinfinite(X1)
| esk11_1(X1) != esk12_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]),
[final] ).
cnf(c_0_258,plain,
( ~ ccardinality_N(X1)
| esk1_1(X1) != esk2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]),
[final] ).
cnf(c_0_259,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_183]),
[final] ).
cnf(c_0_260,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_183]),
[final] ).
cnf(c_0_261,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_184]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS052+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.47 % Computer : n013.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Sun Sep 20 22:51:35 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.55 Running first-order theorem proving
% 0.24/0.55 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/benchmark/theBenchmark.p
% 0.38/0.68 % Version: 3.5.1
% 0.38/0.68 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.68 % Starting new_bool_3 with 300s (1) cores
% 0.38/0.68 % Starting new_bool_1 with 300s (1) cores
% 0.38/0.68 % Starting sh5l with 300s (1) cores
% 0.38/0.68 % new_bool_1 with pid 3580498 completed with status 9
% 0.38/0.68 % new_bool_3 with pid 3580497 completed with status 9
% 0.38/0.68 % sh5l with pid 3580499 completed with status 9
% 0.38/0.68 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3580496 completed with status 1
% 0.38/0.68 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.38/0.68 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.38/0.68 % No SInE strategy applied
% 0.38/0.68 % Search class: FGHSF-FSLF11-SFFFFFNN
% 0.38/0.68 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.38/0.68 % Starting SubtermCWHack with 136s (1) cores
% 0.38/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.38/0.68 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.38/0.68 % Starting new_bool_3 with 136s (1) cores
% 0.38/0.68 % Starting new_bool_1 with 136s (1) cores
% 0.38/0.68 % SubtermCWHack with pid 3580503 completed with status 1
% 0.38/0.68 % Result found by SubtermCWHack
% 0.38/0.68 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.38/0.68 % No SInE strategy applied
% 0.38/0.68 % Search class: FGHSF-FSLF11-SFFFFFNN
% 0.38/0.68 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.38/0.68 % Starting SubtermCWHack with 136s (1) cores
% 0.38/0.68 % Preprocessing time : 0.002 s
% 0.38/0.68
% 0.38/0.68 % No proof found!
% 0.38/0.68 % SZS status Satisfiable
% 0.38/0.68 % SZS output start Saturation
% See solution above
% 0.38/0.68 % Parsed axioms : 39
% 0.38/0.68 % Removed by relevancy pruning/SinE : 0
% 0.38/0.68 % Initial clauses : 111
% 0.38/0.68 % Removed in clause preprocessing : 20
% 0.38/0.68 % Initial clauses in saturation : 91
% 0.38/0.68 % Processed clauses : 605
% 0.38/0.68 % ...of these trivial : 0
% 0.38/0.68 % ...subsumed : 391
% 0.38/0.68 % ...remaining for further processing : 214
% 0.38/0.68 % Other redundant clauses eliminated : 0
% 0.38/0.68 % Clauses deleted for lack of memory : 0
% 0.38/0.68 % Backward-subsumed : 7
% 0.38/0.68 % Backward-rewritten : 0
% 0.38/0.68 % Generated clauses : 634
% 0.38/0.68 % ...of the previous two non-redundant : 566
% 0.38/0.68 % ...aggressively subsumed : 0
% 0.38/0.68 % Contextual simplify-reflections : 69
% 0.38/0.68 % Paramodulations : 620
% 0.38/0.68 % Factorizations : 14
% 0.38/0.68 % NegExts : 0
% 0.38/0.68 % Equation resolutions : 0
% 0.38/0.68 % Disequality decompositions : 0
% 0.38/0.68 % Total rewrite steps : 0
% 0.38/0.68 % ...of those cached : 0
% 0.38/0.68 % Propositional unsat checks : 0
% 0.38/0.68 % Propositional check models : 0
% 0.38/0.68 % Propositional check unsatisfiable : 0
% 0.38/0.68 % Propositional clauses : 0
% 0.38/0.68 % Propositional clauses after purity: 0
% 0.38/0.68 % Propositional unsat core size : 0
% 0.38/0.68 % Propositional preprocessing time : 0.000
% 0.38/0.68 % Propositional encoding time : 0.000
% 0.38/0.68 % Propositional solver time : 0.000
% 0.38/0.68 % Success case prop preproc time : 0.000
% 0.38/0.68 % Success case prop encoding time : 0.000
% 0.38/0.68 % Success case prop solver time : 0.000
% 0.38/0.68 % Current number of processed clauses : 207
% 0.38/0.68 % Positive orientable unit clauses : 0
% 0.38/0.68 % Positive unorientable unit clauses: 0
% 0.38/0.68 % Negative unit clauses : 1
% 0.38/0.68 % Non-unit-clauses : 206
% 0.38/0.68 % Current number of unprocessed clauses: 0
% 0.38/0.68 % ...number of literals in the above : 0
% 0.38/0.68 % Current number of archived formulas : 0
% 0.38/0.68 % Current number of archived clauses : 8
% 0.38/0.68 % Clause-clause subsumption calls (NU) : 16901
% 0.38/0.68 % Rec. Clause-clause subsumption calls : 3759
% 0.38/0.68 % Non-unit clause-clause subsumptions : 467
% 0.38/0.68 % Unit Clause-clause subsumption calls : 0
% 0.38/0.68 % Rewrite failures with RHS unbound : 0
% 0.38/0.68 % BW rewrite match attempts : 0
% 0.38/0.68 % BW rewrite match successes : 0
% 0.38/0.68 % Condensation attempts : 0
% 0.38/0.68 % Condensation successes : 0
% 0.38/0.68 % Termbank termtop insertions : 36225
% 0.38/0.68 % Search garbage collected termcells : 1908
% 0.38/0.68
% 0.38/0.68 % -------------------------------------------------
% 0.38/0.68 % User time : 0.095 s
% 0.38/0.68 % System time : 0.005 s
% 0.38/0.68 % Total time : 0.101 s
% 0.38/0.68 % Maximum resident set size: 3940 pages
% 0.38/0.68
% 0.38/0.68 % -------------------------------------------------
% 0.38/0.68 % User time : 0.432 s
% 0.38/0.68 % System time : 0.092 s
% 0.38/0.68 % Total time : 0.524 s
% 0.38/0.68 % Maximum resident set size: 4864 pages
% 0.38/0.68 % E exiting
%------------------------------------------------------------------------------