%------------------------------------------------------------------------------
% File : E---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 : n005.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 01:00:39 PM UTC 2026
% Result : Satisfiable 0.24s 0.54s
% Output : Saturation 0.24s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_21ERROR: Could not build tree for root c_0_147ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_22,plain,
( ~ cinfinite(X1)
| ~ rinvR_N_times_M_to_1(X1,X7)
| ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| X6 = X7
| X5 = X7
| X5 = X6
| X4 = X7
| X4 = X6
| X4 = X5
| X3 = X7
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X7
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_23,plain,
( ~ cinfinite(X1)
| rinvR_N_times_M_to_1(X1,esk15_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_25,plain,
( ~ cinfinite(X1)
| rinvR_N_times_M_to_1(X1,esk14_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_26,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X1)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X4)
| ~ rinvR_N_times_M_to_1(X2,X5)
| ~ rinvR_N_times_M_to_1(X2,X6)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X1 = X6
| X1 = X5
| X1 = X4
| X1 = X3
| X6 = esk15_1(X2)
| X5 = esk15_1(X2)
| X4 = esk15_1(X2)
| X3 = esk15_1(X2)
| X1 = esk15_1(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]),
[final] ).
cnf(c_0_27,plain,
( ~ cinfinite(X1)
| esk14_1(X1) != esk15_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_32,plain,
( ~ cinfinite(X1)
| rinvR_N_times_M_to_1(X1,esk13_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_33,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X1)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X4)
| ~ rinvR_N_times_M_to_1(X2,X5)
| ~ rinvR_N_times_M_to_1(X2,X6)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X1 = X6
| X1 = X5
| X1 = X4
| X1 = X3
| X6 = esk14_1(X2)
| X5 = esk14_1(X2)
| X4 = esk14_1(X2)
| X3 = esk14_1(X2)
| X1 = esk14_1(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_25]),
[final] ).
cnf(c_0_34,plain,
( ~ cinfinite(X1)
| esk13_1(X1) != esk14_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_35,plain,
( ~ cinfinite(X1)
| esk13_1(X1) != esk15_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_36,plain,
( ~ cinfinite(X2)
| ~ 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)
| X5 = X4
| X5 = X3
| X5 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| X5 = esk15_1(X2)
| X4 = esk15_1(X2)
| X3 = esk15_1(X2)
| X1 = esk15_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_26,c_0_25]),c_0_27]),
[final] ).
cnf(c_0_37,plain,
( ~ ccardinality_N(X1)
| ~ rinvQ_1_to_M(X1,X5)
| ~ rinvQ_1_to_M(X1,X4)
| ~ rinvQ_1_to_M(X1,X3)
| ~ rinvQ_1_to_M(X1,X2)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_38,plain,
( ~ ccardinality_N(X1)
| rinvQ_1_to_M(X1,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_40,plain,
( ~ cinfinite(X1)
| rinvR_N_times_M_to_1(X1,esk12_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_41,plain,
( ~ rr_N_times_M_to_1(X1,X2)
| rinvR_N_times_M_to_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]),
[final] ).
cnf(c_0_42,plain,
( ~ ccardinality_N_times_M(X1)
| rr_N_times_M_to_1(X1,esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]),
[final] ).
cnf(c_0_43,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X1)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X4)
| ~ rinvR_N_times_M_to_1(X2,X5)
| ~ rinvR_N_times_M_to_1(X2,X6)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X1 = X6
| X1 = X5
| X1 = X4
| X1 = X3
| X6 = esk13_1(X2)
| X5 = esk13_1(X2)
| X4 = esk13_1(X2)
| X3 = esk13_1(X2)
| X1 = esk13_1(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_32]),
[final] ).
cnf(c_0_44,plain,
( ~ cinfinite(X1)
| esk12_1(X1) != esk13_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_45,plain,
( ~ cinfinite(X1)
| esk12_1(X1) != esk14_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_46,plain,
( ~ cinfinite(X1)
| esk12_1(X1) != esk15_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_47,plain,
( ~ cinfinite(X2)
| ~ 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)
| X5 = X4
| X5 = X3
| X5 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| X5 = esk14_1(X2)
| X4 = esk14_1(X2)
| X3 = esk14_1(X2)
| X1 = esk14_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_33,c_0_32]),c_0_34]),
[final] ).
cnf(c_0_48,plain,
( ~ cinfinite(X2)
| ~ 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)
| X5 = X4
| X5 = X3
| X5 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| X5 = esk15_1(X2)
| X4 = esk15_1(X2)
| X3 = esk15_1(X2)
| X1 = esk15_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_26,c_0_32]),c_0_35]),
[final] ).
cnf(c_0_49,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X1)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X4)
| X3 = X4
| X1 = X4
| X1 = X3
| X4 = esk14_1(X2)
| X3 = esk14_1(X2)
| X1 = esk14_1(X2)
| X4 = esk15_1(X2)
| X3 = esk15_1(X2)
| X1 = esk15_1(X2)
| X4 = esk13_1(X2)
| X3 = esk13_1(X2)
| X1 = esk13_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_32]),c_0_35]),c_0_34]),
[final] ).
cnf(c_0_52,plain,
( ~ ccardinality_N(X1)
| rinvQ_1_to_M(X1,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_53,plain,
( ~ ccardinality_N(X2)
| ~ rinvQ_1_to_M(X2,X1)
| ~ rinvQ_1_to_M(X2,X3)
| ~ rinvQ_1_to_M(X2,X4)
| X3 = X4
| X1 = X4
| X1 = X3
| X4 = esk3_1(X2)
| X3 = esk3_1(X2)
| X1 = esk3_1(X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]),
[final] ).
cnf(c_0_54,plain,
( ~ ccardinality_N(X1)
| esk2_1(X1) != esk3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_57,plain,
( ~ cinfinite(X1)
| ~ rinvP_1_to_N(X1,X4)
| ~ rinvP_1_to_N(X1,X3)
| ~ rinvP_1_to_N(X1,X2)
| X3 = X4
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_39]),
[final] ).
cnf(c_0_58,plain,
( ~ cinfinite(X1)
| rinvP_1_to_N(X1,esk23_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_39]),
[final] ).
cnf(c_0_65,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X1)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X4)
| ~ rinvR_N_times_M_to_1(X2,X5)
| ~ rinvR_N_times_M_to_1(X2,X6)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X1 = X6
| X1 = X5
| X1 = X4
| X1 = X3
| X6 = esk12_1(X2)
| X5 = esk12_1(X2)
| X4 = esk12_1(X2)
| X3 = esk12_1(X2)
| X1 = esk12_1(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_40]),
[final] ).
cnf(c_0_66,plain,
( ~ cinfinite(X1)
| rinvR_N_times_M_to_1(X1,esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_67,plain,
( ~ cinfinite(X1)
| esk11_1(X1) != esk12_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_68,plain,
( ~ cinfinite(X1)
| esk11_1(X1) != esk13_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_69,plain,
( ~ cinfinite(X1)
| esk11_1(X1) != esk14_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_70,plain,
( ~ cinfinite(X1)
| esk11_1(X1) != esk15_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_71,plain,
( ~ ccardinality_N_times_M(X1)
| rinvR_N_times_M_to_1(esk10_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]),
[final] ).
cnf(c_0_72,plain,
( ~ ccardinality_N_times_M(X1)
| cinfinite(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]),
[final] ).
cnf(c_0_73,plain,
( ~ cinfinite(X2)
| ~ 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)
| X5 = X4
| X5 = X3
| X5 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| X5 = esk13_1(X2)
| X4 = esk13_1(X2)
| X3 = esk13_1(X2)
| X1 = esk13_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_43,c_0_40]),c_0_44]),
[final] ).
cnf(c_0_74,plain,
( ~ cinfinite(X2)
| ~ 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)
| X5 = X4
| X5 = X3
| X5 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| X5 = esk14_1(X2)
| X4 = esk14_1(X2)
| X3 = esk14_1(X2)
| X1 = esk14_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_33,c_0_40]),c_0_45]),
[final] ).
cnf(c_0_75,plain,
( ~ cinfinite(X2)
| ~ 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)
| X5 = X4
| X5 = X3
| X5 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| X5 = esk15_1(X2)
| X4 = esk15_1(X2)
| X3 = esk15_1(X2)
| X1 = esk15_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_26,c_0_40]),c_0_46]),
[final] ).
cnf(c_0_76,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X1)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X4)
| X3 = X4
| X1 = X4
| X1 = X3
| X4 = esk13_1(X2)
| X3 = esk13_1(X2)
| X1 = esk13_1(X2)
| X4 = esk14_1(X2)
| X3 = esk14_1(X2)
| X1 = esk14_1(X2)
| X4 = esk12_1(X2)
| X3 = esk12_1(X2)
| X1 = esk12_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_40]),c_0_45]),c_0_44]),
[final] ).
cnf(c_0_77,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X1)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X4)
| X3 = X4
| X1 = X4
| X1 = X3
| X4 = esk13_1(X2)
| X3 = esk13_1(X2)
| X1 = esk13_1(X2)
| X4 = esk15_1(X2)
| X3 = esk15_1(X2)
| X1 = esk15_1(X2)
| X4 = esk12_1(X2)
| X3 = esk12_1(X2)
| X1 = esk12_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_40]),c_0_46]),c_0_44]),
[final] ).
cnf(c_0_78,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X1)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X4)
| X3 = X4
| X1 = X4
| X1 = X3
| X4 = esk14_1(X2)
| X3 = esk14_1(X2)
| X1 = esk14_1(X2)
| X4 = esk15_1(X2)
| X3 = esk15_1(X2)
| X1 = esk15_1(X2)
| X4 = esk12_1(X2)
| X3 = esk12_1(X2)
| X1 = esk12_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_40]),c_0_46]),c_0_45]),
[final] ).
cnf(c_0_79,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X1)
| X3 = X1
| X3 = esk13_1(X2)
| X1 = esk13_1(X2)
| X3 = esk15_1(X2)
| X1 = esk15_1(X2)
| X3 = esk14_1(X2)
| X1 = esk14_1(X2)
| X3 = esk12_1(X2)
| X1 = esk12_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_40]),c_0_45]),c_0_46]),c_0_44]),
[final] ).
cnf(c_0_80,plain,
( ~ ccardinality_N(X1)
| rinvQ_1_to_M(X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_81,plain,
( ~ rq_M_to_1(X1,X2)
| rinvQ_1_to_M(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]),
[final] ).
cnf(c_0_82,plain,
( ~ ccardinality_N_times_M(X1)
| rq_M_to_1(X1,esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]),
[final] ).
cnf(c_0_83,plain,
( ~ ccardinality_N(X2)
| ~ rinvQ_1_to_M(X2,X1)
| ~ rinvQ_1_to_M(X2,X3)
| ~ rinvQ_1_to_M(X2,X4)
| X3 = X4
| X1 = X4
| X1 = X3
| X4 = esk2_1(X2)
| X3 = esk2_1(X2)
| X1 = esk2_1(X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_52]),
[final] ).
cnf(c_0_84,plain,
( ~ ccardinality_N(X1)
| esk1_1(X1) != esk2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_85,plain,
( ~ ccardinality_N(X1)
| esk1_1(X1) != esk3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_86,plain,
( ~ ccardinality_N(X2)
| ~ rinvQ_1_to_M(X2,X3)
| ~ rinvQ_1_to_M(X2,X1)
| X3 = X1
| X3 = esk3_1(X2)
| X1 = esk3_1(X2)
| X3 = esk2_1(X2)
| X1 = esk2_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_52]),c_0_54]),
[final] ).
cnf(c_0_87,plain,
( ~ cinfinite(X1)
| rinvP_1_to_N(X1,esk22_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_39]),
[final] ).
cnf(c_0_88,plain,
( ~ rp_N_to_1(X1,X2)
| rinvP_1_to_N(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]),
[final] ).
cnf(c_0_89,plain,
( ~ ccardinality_N(X1)
| rp_N_to_1(X1,esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_56]),
[final] ).
cnf(c_0_90,plain,
( ~ cinfinite(X2)
| ~ rinvP_1_to_N(X2,X1)
| ~ rinvP_1_to_N(X2,X3)
| X1 = X3
| X3 = esk23_1(X2)
| X1 = esk23_1(X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]),
[final] ).
cnf(c_0_91,plain,
( ~ cinfinite(X1)
| esk22_1(X1) != esk23_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]),
[final] ).
cnf(c_0_92,plain,
( ~ rinvR_N_times_M_to_1(X1,X2)
| rr_N_times_M_to_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]),
[final] ).
cnf(c_0_93,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_59]),
[final] ).
cnf(c_0_94,plain,
( ~ rr_N_times_M_to_1(X1,X2)
| ccardinality_N_times_M(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]),
[final] ).
cnf(c_0_95,plain,
( ~ rinvQ_1_to_M(X1,X2)
| rq_M_to_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]),
[final] ).
cnf(c_0_96,plain,
( ~ rq_M_to_1(X1,X3)
| ~ rq_M_to_1(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_61]),
[final] ).
cnf(c_0_97,plain,
( ~ rq_M_to_1(X1,X2)
| ccardinality_N_times_M(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]),
[final] ).
cnf(c_0_98,plain,
( ~ rinvP_1_to_N(X1,X2)
| rp_N_to_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]),
[final] ).
cnf(c_0_99,plain,
( ~ rp_N_to_1(X1,X3)
| ~ rp_N_to_1(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_63]),
[final] ).
cnf(c_0_100,plain,
( ~ rp_N_to_1(X1,X2)
| ccardinality_N(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]),
[final] ).
cnf(c_0_103,plain,
( ~ cinfinite(X2)
| ~ 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)
| X5 = X4
| X5 = X3
| X5 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| X5 = esk12_1(X2)
| X4 = esk12_1(X2)
| X3 = esk12_1(X2)
| X1 = esk12_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_65,c_0_66]),c_0_67]),
[final] ).
cnf(c_0_104,plain,
( ~ cinfinite(X2)
| ~ 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)
| X5 = X4
| X5 = X3
| X5 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| X5 = esk13_1(X2)
| X4 = esk13_1(X2)
| X3 = esk13_1(X2)
| X1 = esk13_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_43,c_0_66]),c_0_68]),
[final] ).
cnf(c_0_105,plain,
( ~ cinfinite(X2)
| ~ 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)
| X5 = X4
| X5 = X3
| X5 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| X5 = esk14_1(X2)
| X4 = esk14_1(X2)
| X3 = esk14_1(X2)
| X1 = esk14_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_33,c_0_66]),c_0_69]),
[final] ).
cnf(c_0_106,plain,
( ~ cinfinite(X2)
| ~ 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)
| X5 = X4
| X5 = X3
| X5 = X1
| X4 = X3
| X4 = X1
| X3 = X1
| X5 = esk15_1(X2)
| X4 = esk15_1(X2)
| X3 = esk15_1(X2)
| X1 = esk15_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_26,c_0_66]),c_0_70]),
[final] ).
cnf(c_0_107,plain,
( ~ ccardinality_N_times_M(X6)
| ~ rinvR_N_times_M_to_1(esk10_1(X6),X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X6),X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X6),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X6),X4)
| ~ rinvR_N_times_M_to_1(esk10_1(X6),X5)
| 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)],[inference(spm,[status(thm)],[c_0_22,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_108,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X1)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X4)
| X3 = X4
| X1 = X4
| X1 = X3
| X4 = esk12_1(X2)
| X3 = esk12_1(X2)
| X1 = esk12_1(X2)
| X4 = esk13_1(X2)
| X3 = esk13_1(X2)
| X1 = esk13_1(X2)
| X4 = esk11_1(X2)
| X3 = esk11_1(X2)
| X1 = esk11_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_66]),c_0_68]),c_0_67]),
[final] ).
cnf(c_0_109,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X1)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X4)
| X3 = X4
| X1 = X4
| X1 = X3
| X4 = esk12_1(X2)
| X3 = esk12_1(X2)
| X1 = esk12_1(X2)
| X4 = esk14_1(X2)
| X3 = esk14_1(X2)
| X1 = esk14_1(X2)
| X4 = esk11_1(X2)
| X3 = esk11_1(X2)
| X1 = esk11_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_66]),c_0_69]),c_0_67]),
[final] ).
cnf(c_0_110,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X1)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X4)
| X3 = X4
| X1 = X4
| X1 = X3
| X4 = esk13_1(X2)
| X3 = esk13_1(X2)
| X1 = esk13_1(X2)
| X4 = esk14_1(X2)
| X3 = esk14_1(X2)
| X1 = esk14_1(X2)
| X4 = esk11_1(X2)
| X3 = esk11_1(X2)
| X1 = esk11_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_66]),c_0_69]),c_0_68]),
[final] ).
cnf(c_0_111,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X1)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X4)
| X3 = X4
| X1 = X4
| X1 = X3
| X4 = esk12_1(X2)
| X3 = esk12_1(X2)
| X1 = esk12_1(X2)
| X4 = esk15_1(X2)
| X3 = esk15_1(X2)
| X1 = esk15_1(X2)
| X4 = esk11_1(X2)
| X3 = esk11_1(X2)
| X1 = esk11_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_66]),c_0_70]),c_0_67]),
[final] ).
cnf(c_0_112,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X1)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X4)
| X3 = X4
| X1 = X4
| X1 = X3
| X4 = esk13_1(X2)
| X3 = esk13_1(X2)
| X1 = esk13_1(X2)
| X4 = esk15_1(X2)
| X3 = esk15_1(X2)
| X1 = esk15_1(X2)
| X4 = esk11_1(X2)
| X3 = esk11_1(X2)
| X1 = esk11_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_66]),c_0_70]),c_0_68]),
[final] ).
cnf(c_0_113,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X1)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X4)
| X3 = X4
| X1 = X4
| X1 = X3
| X4 = esk14_1(X2)
| X3 = esk14_1(X2)
| X1 = esk14_1(X2)
| X4 = esk15_1(X2)
| X3 = esk15_1(X2)
| X1 = esk15_1(X2)
| X4 = esk11_1(X2)
| X3 = esk11_1(X2)
| X1 = esk11_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_66]),c_0_70]),c_0_69]),
[final] ).
cnf(c_0_114,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X1)
| X3 = X1
| X3 = esk12_1(X2)
| X1 = esk12_1(X2)
| X3 = esk14_1(X2)
| X1 = esk14_1(X2)
| X3 = esk13_1(X2)
| X1 = esk13_1(X2)
| X3 = esk11_1(X2)
| X1 = esk11_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_66]),c_0_68]),c_0_69]),c_0_67]),
[final] ).
cnf(c_0_115,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X1)
| X3 = X1
| X3 = esk12_1(X2)
| X1 = esk12_1(X2)
| X3 = esk15_1(X2)
| X1 = esk15_1(X2)
| X3 = esk13_1(X2)
| X1 = esk13_1(X2)
| X3 = esk11_1(X2)
| X1 = esk11_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_66]),c_0_68]),c_0_70]),c_0_67]),
[final] ).
cnf(c_0_116,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X1)
| X3 = X1
| X3 = esk12_1(X2)
| X1 = esk12_1(X2)
| X3 = esk15_1(X2)
| X1 = esk15_1(X2)
| X3 = esk14_1(X2)
| X1 = esk14_1(X2)
| X3 = esk11_1(X2)
| X1 = esk11_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_66]),c_0_69]),c_0_70]),c_0_67]),
[final] ).
cnf(c_0_117,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X1)
| X3 = X1
| X3 = esk13_1(X2)
| X1 = esk13_1(X2)
| X3 = esk15_1(X2)
| X1 = esk15_1(X2)
| X3 = esk14_1(X2)
| X1 = esk14_1(X2)
| X3 = esk11_1(X2)
| X1 = esk11_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_66]),c_0_69]),c_0_70]),c_0_68]),
[final] ).
cnf(c_0_118,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X1)
| X1 = esk12_1(X2)
| X1 = esk14_1(X2)
| X1 = esk15_1(X2)
| X1 = esk13_1(X2)
| X1 = esk11_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_66]),c_0_68]),c_0_70]),c_0_69]),c_0_67]),
[final] ).
cnf(c_0_119,plain,
( ~ ccardinality_N(X2)
| ~ rinvQ_1_to_M(X2,X1)
| ~ rinvQ_1_to_M(X2,X3)
| ~ rinvQ_1_to_M(X2,X4)
| X3 = X4
| X1 = X4
| X1 = X3
| X4 = esk1_1(X2)
| X3 = esk1_1(X2)
| X1 = esk1_1(X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_80]),
[final] ).
cnf(c_0_120,plain,
( ~ ccardinality_N_times_M(X1)
| rinvQ_1_to_M(esk9_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]),
[final] ).
cnf(c_0_121,plain,
( ~ ccardinality_N_times_M(X1)
| ccardinality_N(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]),
[final] ).
cnf(c_0_122,plain,
( ~ ccardinality_N(X2)
| ~ rinvQ_1_to_M(X2,X3)
| ~ rinvQ_1_to_M(X2,X1)
| X3 = X1
| X3 = esk2_1(X2)
| X1 = esk2_1(X2)
| X3 = esk1_1(X2)
| X1 = esk1_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_80]),c_0_84]),
[final] ).
cnf(c_0_123,plain,
( ~ ccardinality_N(X2)
| ~ rinvQ_1_to_M(X2,X3)
| ~ rinvQ_1_to_M(X2,X1)
| X3 = X1
| X3 = esk3_1(X2)
| X1 = esk3_1(X2)
| X3 = esk1_1(X2)
| X1 = esk1_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_80]),c_0_85]),
[final] ).
cnf(c_0_124,plain,
( ~ ccardinality_N(X2)
| ~ rinvQ_1_to_M(X2,X1)
| X1 = esk2_1(X2)
| X1 = esk3_1(X2)
| X1 = esk1_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_80]),c_0_85]),c_0_84]),
[final] ).
cnf(c_0_125,plain,
( ~ cinfinite(X2)
| ~ rinvP_1_to_N(X2,X1)
| ~ rinvP_1_to_N(X2,X3)
| X1 = X3
| X3 = esk22_1(X2)
| X1 = esk22_1(X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_87]),
[final] ).
cnf(c_0_126,plain,
( ~ ccardinality_N(X1)
| rinvP_1_to_N(esk8_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]),
[final] ).
cnf(c_0_127,plain,
( ~ ccardinality_N(X1)
| cinfinite(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_56]),
[final] ).
cnf(c_0_128,plain,
( ~ cinfinite(X2)
| ~ rinvP_1_to_N(X2,X1)
| X1 = esk23_1(X2)
| X1 = esk22_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_87]),c_0_91]),
[final] ).
cnf(c_0_129,plain,
( ~ cinfinite(X1)
| rr_N_times_M_to_1(esk15_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_23]),
[final] ).
cnf(c_0_130,plain,
( ~ rr_N_times_M_to_1(X2,X1)
| X1 = esk10_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_42]),c_0_94]),
[final] ).
cnf(c_0_131,plain,
( ~ cinfinite(X1)
| rr_N_times_M_to_1(esk14_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_25]),
[final] ).
cnf(c_0_132,plain,
( ~ cinfinite(X1)
| rr_N_times_M_to_1(esk13_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_32]),
[final] ).
cnf(c_0_133,plain,
( ~ cinfinite(X1)
| rr_N_times_M_to_1(esk12_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_40]),
[final] ).
cnf(c_0_134,plain,
( ~ cinfinite(X1)
| rr_N_times_M_to_1(esk11_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_66]),
[final] ).
cnf(c_0_135,plain,
( ~ ccardinality_N(X1)
| rq_M_to_1(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_38]),
[final] ).
cnf(c_0_136,plain,
( ~ rq_M_to_1(X2,X1)
| X1 = esk9_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_82]),c_0_97]),
[final] ).
cnf(c_0_137,plain,
( ~ ccardinality_N(X1)
| rq_M_to_1(esk2_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_52]),
[final] ).
cnf(c_0_138,plain,
( ~ ccardinality_N(X1)
| rq_M_to_1(esk1_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_80]),
[final] ).
cnf(c_0_139,plain,
( ~ cinfinite(X1)
| rp_N_to_1(esk23_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_58]),
[final] ).
cnf(c_0_140,plain,
( ~ rp_N_to_1(X2,X1)
| X1 = esk8_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_89]),c_0_100]),
[final] ).
cnf(c_0_141,plain,
( ~ cinfinite(X1)
| rp_N_to_1(esk22_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_87]),
[final] ).
cnf(c_0_147,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)
| X4 = X2
| X3 = X2
| X3 = X4
| X1 = X2
| X1 = X4
| X1 = X3
| esk11_1(esk10_1(X2)) = X2
| X4 = esk11_1(esk10_1(X2))
| X3 = esk11_1(esk10_1(X2))
| X1 = esk11_1(esk10_1(X2))
| esk12_1(esk10_1(X2)) = 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_103,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_148,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)
| X4 = X2
| X3 = X2
| X3 = X4
| X1 = X2
| X1 = X4
| X1 = X3
| esk11_1(esk10_1(X2)) = X2
| X4 = esk11_1(esk10_1(X2))
| X3 = esk11_1(esk10_1(X2))
| X1 = esk11_1(esk10_1(X2))
| esk13_1(esk10_1(X2)) = 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_104,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_149,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)
| X4 = X2
| X3 = X2
| X3 = X4
| X1 = X2
| X1 = X4
| X1 = X3
| esk12_1(esk10_1(X2)) = X2
| X4 = esk12_1(esk10_1(X2))
| X3 = esk12_1(esk10_1(X2))
| X1 = esk12_1(esk10_1(X2))
| esk13_1(esk10_1(X2)) = 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_73,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_150,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)
| X4 = X2
| X3 = X2
| X3 = X4
| X1 = X2
| X1 = X4
| X1 = X3
| esk11_1(esk10_1(X2)) = X2
| X4 = esk11_1(esk10_1(X2))
| X3 = esk11_1(esk10_1(X2))
| X1 = esk11_1(esk10_1(X2))
| esk14_1(esk10_1(X2)) = 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_105,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_151,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)
| X4 = X2
| X3 = X2
| X3 = X4
| X1 = X2
| X1 = X4
| X1 = X3
| esk12_1(esk10_1(X2)) = X2
| X4 = esk12_1(esk10_1(X2))
| X3 = esk12_1(esk10_1(X2))
| X1 = esk12_1(esk10_1(X2))
| esk14_1(esk10_1(X2)) = 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_74,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_152,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)
| X4 = X2
| X3 = X2
| X3 = X4
| X1 = X2
| X1 = X4
| X1 = X3
| esk13_1(esk10_1(X2)) = X2
| X4 = esk13_1(esk10_1(X2))
| X3 = esk13_1(esk10_1(X2))
| X1 = esk13_1(esk10_1(X2))
| esk14_1(esk10_1(X2)) = 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_47,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_153,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)
| X4 = X2
| X3 = X2
| X3 = X4
| X1 = X2
| X1 = X4
| X1 = X3
| esk11_1(esk10_1(X2)) = X2
| X4 = esk11_1(esk10_1(X2))
| X3 = esk11_1(esk10_1(X2))
| X1 = esk11_1(esk10_1(X2))
| esk15_1(esk10_1(X2)) = 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_106,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_154,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)
| X4 = X2
| X3 = X2
| X3 = X4
| X1 = X2
| X1 = X4
| X1 = X3
| esk12_1(esk10_1(X2)) = X2
| X4 = esk12_1(esk10_1(X2))
| X3 = esk12_1(esk10_1(X2))
| X1 = esk12_1(esk10_1(X2))
| esk15_1(esk10_1(X2)) = 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_75,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_155,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)
| X4 = X2
| X3 = X2
| X3 = X4
| X1 = X2
| X1 = X4
| X1 = X3
| esk13_1(esk10_1(X2)) = X2
| X4 = esk13_1(esk10_1(X2))
| X3 = esk13_1(esk10_1(X2))
| X1 = esk13_1(esk10_1(X2))
| esk15_1(esk10_1(X2)) = 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_48,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_156,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)
| X4 = X2
| X3 = X2
| X3 = X4
| X1 = X2
| X1 = X4
| X1 = X3
| esk14_1(esk10_1(X2)) = X2
| X4 = esk14_1(esk10_1(X2))
| X3 = esk14_1(esk10_1(X2))
| X1 = esk14_1(esk10_1(X2))
| esk15_1(esk10_1(X2)) = 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_36,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_157,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X5)
| ~ 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)
| X5 = X4
| X5 = X3
| X5 = X2
| X5 = X1
| X4 = X3
| X4 = X2
| X4 = X1
| X3 = X2
| X3 = X1
| X2 = X1
| X5 = esk11_1(esk10_1(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 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_66]),c_0_72]),
[final] ).
cnf(c_0_158,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X5)
| ~ 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)
| X5 = X4
| X5 = X3
| X5 = X2
| X5 = X1
| X4 = X3
| X4 = X2
| X4 = X1
| X3 = X2
| X3 = X1
| X2 = X1
| X5 = esk12_1(esk10_1(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 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_40]),c_0_72]),
[final] ).
cnf(c_0_159,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X3 = X2
| X3 = X1
| X2 = X1
| X3 = esk11_1(esk10_1(X1))
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X3 = esk13_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X3 = esk12_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_160,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X3 = X2
| X3 = X1
| X2 = X1
| X3 = esk11_1(esk10_1(X1))
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X3 = esk14_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X3 = esk12_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_161,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X5)
| ~ 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)
| X5 = X4
| X5 = X3
| X5 = X2
| X5 = X1
| X4 = X3
| X4 = X2
| X4 = X1
| X3 = X2
| X3 = X1
| X2 = X1
| X5 = esk13_1(esk10_1(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 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_32]),c_0_72]),
[final] ).
cnf(c_0_162,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X3 = X2
| X3 = X1
| X2 = X1
| X3 = esk11_1(esk10_1(X1))
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X3 = esk14_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X3 = esk13_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_163,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X5)
| ~ 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)
| X5 = X4
| X5 = X3
| X5 = X2
| X5 = X1
| X4 = X3
| X4 = X2
| X4 = X1
| X3 = X2
| X3 = X1
| X2 = X1
| X5 = esk14_1(esk10_1(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 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_25]),c_0_72]),
[final] ).
cnf(c_0_164,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X3 = X2
| X3 = X1
| X2 = X1
| X3 = esk12_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X3 = esk14_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1
| X3 = esk13_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_165,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X3 = X2
| X3 = X1
| X2 = X1
| X3 = esk11_1(esk10_1(X1))
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X3 = esk15_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X3 = esk12_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_166,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X3 = X2
| X3 = X1
| X2 = X1
| X3 = esk11_1(esk10_1(X1))
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X3 = esk15_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X3 = esk13_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_167,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X3 = X2
| X3 = X1
| X2 = X1
| X3 = esk12_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X3 = esk15_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X3 = esk13_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_168,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X3 = X2
| X3 = X1
| X2 = X1
| X3 = esk11_1(esk10_1(X1))
| X2 = esk11_1(esk10_1(X1))
| esk11_1(esk10_1(X1)) = X1
| X3 = esk15_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X3 = esk14_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_169,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X1)
| X1 = X2
| esk11_1(esk10_1(X2)) = X2
| X1 = esk11_1(esk10_1(X2))
| esk13_1(esk10_1(X2)) = X2
| X1 = esk13_1(esk10_1(X2))
| esk14_1(esk10_1(X2)) = X2
| X1 = esk14_1(esk10_1(X2))
| esk12_1(esk10_1(X2)) = X2
| X1 = esk12_1(esk10_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_170,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X3 = X2
| X3 = X1
| X2 = X1
| X3 = esk12_1(esk10_1(X1))
| X2 = esk12_1(esk10_1(X1))
| esk12_1(esk10_1(X1)) = X1
| X3 = esk15_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X3 = esk14_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_171,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X3)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X2)
| X3 = X2
| X3 = X1
| X2 = X1
| X3 = esk13_1(esk10_1(X1))
| X2 = esk13_1(esk10_1(X1))
| esk13_1(esk10_1(X1)) = X1
| X3 = esk15_1(esk10_1(X1))
| X2 = esk15_1(esk10_1(X1))
| esk15_1(esk10_1(X1)) = X1
| X3 = esk14_1(esk10_1(X1))
| X2 = esk14_1(esk10_1(X1))
| esk14_1(esk10_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_172,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X1)
| X1 = X2
| esk11_1(esk10_1(X2)) = X2
| X1 = esk11_1(esk10_1(X2))
| esk13_1(esk10_1(X2)) = X2
| X1 = esk13_1(esk10_1(X2))
| esk15_1(esk10_1(X2)) = X2
| X1 = esk15_1(esk10_1(X2))
| esk12_1(esk10_1(X2)) = X2
| X1 = esk12_1(esk10_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_173,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X1)
| X1 = X2
| esk11_1(esk10_1(X2)) = X2
| X1 = esk11_1(esk10_1(X2))
| esk14_1(esk10_1(X2)) = X2
| X1 = esk14_1(esk10_1(X2))
| esk15_1(esk10_1(X2)) = X2
| X1 = esk15_1(esk10_1(X2))
| esk12_1(esk10_1(X2)) = X2
| X1 = esk12_1(esk10_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_174,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X1)
| X1 = X2
| esk11_1(esk10_1(X2)) = X2
| X1 = esk11_1(esk10_1(X2))
| esk14_1(esk10_1(X2)) = X2
| X1 = esk14_1(esk10_1(X2))
| esk15_1(esk10_1(X2)) = X2
| X1 = esk15_1(esk10_1(X2))
| esk13_1(esk10_1(X2)) = X2
| X1 = esk13_1(esk10_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_175,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvR_N_times_M_to_1(esk10_1(X2),X1)
| X1 = X2
| esk12_1(esk10_1(X2)) = X2
| X1 = esk12_1(esk10_1(X2))
| esk14_1(esk10_1(X2)) = X2
| X1 = esk14_1(esk10_1(X2))
| esk15_1(esk10_1(X2)) = X2
| X1 = esk15_1(esk10_1(X2))
| esk13_1(esk10_1(X2)) = X2
| X1 = esk13_1(esk10_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_176,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 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_177,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvR_N_times_M_to_1(esk10_1(X1),X5)
| ~ 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)
| X5 = X4
| X5 = X3
| X5 = X2
| X5 = X1
| X4 = X3
| X4 = X2
| X4 = X1
| X3 = X2
| X3 = X1
| X2 = X1
| X5 = esk15_1(esk10_1(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 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_71]),c_0_72]),
[final] ).
cnf(c_0_178,plain,
( ~ cinfinite(X2)
| ~ rinvR_N_times_M_to_1(X2,X1)
| ~ rinvR_N_times_M_to_1(X2,X3)
| ~ rinvR_N_times_M_to_1(X2,X4)
| ~ rinvR_N_times_M_to_1(X2,X5)
| ~ rinvR_N_times_M_to_1(X2,X6)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X1 = X6
| X1 = X5
| X1 = X4
| X1 = X3
| X6 = esk11_1(X2)
| X5 = esk11_1(X2)
| X4 = esk11_1(X2)
| X3 = esk11_1(X2)
| X1 = esk11_1(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_66]),
[final] ).
cnf(c_0_179,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvQ_1_to_M(esk9_1(X1),X3)
| ~ rinvQ_1_to_M(esk9_1(X1),X2)
| X3 = X2
| X3 = X1
| X2 = X1
| X3 = esk1_1(esk9_1(X1))
| X2 = esk1_1(esk9_1(X1))
| esk1_1(esk9_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),
[final] ).
cnf(c_0_180,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvQ_1_to_M(esk9_1(X1),X3)
| ~ rinvQ_1_to_M(esk9_1(X1),X2)
| X3 = X2
| X3 = X1
| X2 = X1
| X3 = esk2_1(esk9_1(X1))
| X2 = esk2_1(esk9_1(X1))
| esk2_1(esk9_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_120]),c_0_121]),
[final] ).
cnf(c_0_181,plain,
( ~ ccardinality_N_times_M(X1)
| ~ rinvQ_1_to_M(esk9_1(X1),X3)
| ~ rinvQ_1_to_M(esk9_1(X1),X2)
| X3 = X2
| X3 = X1
| X2 = X1
| X3 = esk3_1(esk9_1(X1))
| X2 = esk3_1(esk9_1(X1))
| esk3_1(esk9_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_120]),c_0_121]),
[final] ).
cnf(c_0_182,plain,
( ~ ccardinality_N_times_M(X4)
| ~ rinvQ_1_to_M(esk9_1(X4),X1)
| ~ rinvQ_1_to_M(esk9_1(X4),X2)
| ~ rinvQ_1_to_M(esk9_1(X4),X3)
| X3 = X4
| X2 = X4
| X2 = X3
| X1 = X4
| X1 = X3
| X1 = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_120]),c_0_121]),
[final] ).
cnf(c_0_183,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvQ_1_to_M(esk9_1(X2),X1)
| X1 = X2
| esk1_1(esk9_1(X2)) = X2
| X1 = esk1_1(esk9_1(X2))
| esk2_1(esk9_1(X2)) = X2
| X1 = esk2_1(esk9_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_120]),c_0_121]),
[final] ).
cnf(c_0_184,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvQ_1_to_M(esk9_1(X2),X1)
| X1 = X2
| esk1_1(esk9_1(X2)) = X2
| X1 = esk1_1(esk9_1(X2))
| esk3_1(esk9_1(X2)) = X2
| X1 = esk3_1(esk9_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_120]),c_0_121]),
[final] ).
cnf(c_0_185,plain,
( ~ ccardinality_N_times_M(X2)
| ~ rinvQ_1_to_M(esk9_1(X2),X1)
| X1 = X2
| esk2_1(esk9_1(X2)) = X2
| X1 = esk2_1(esk9_1(X2))
| esk3_1(esk9_1(X2)) = X2
| X1 = esk3_1(esk9_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_120]),c_0_121]),
[final] ).
cnf(c_0_186,plain,
( ~ ccardinality_N_times_M(X1)
| esk1_1(esk9_1(X1)) = X1
| esk3_1(esk9_1(X1)) = X1
| esk2_1(esk9_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_120]),c_0_121]),
[final] ).
cnf(c_0_187,plain,
( ~ ccardinality_N(X1)
| ~ rinvP_1_to_N(esk8_1(X1),X2)
| X2 = X1
| X2 = esk22_1(esk8_1(X1))
| esk22_1(esk8_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]),
[final] ).
cnf(c_0_188,plain,
( ~ ccardinality_N(X1)
| ~ rinvP_1_to_N(esk8_1(X1),X2)
| X2 = X1
| X2 = esk23_1(esk8_1(X1))
| esk23_1(esk8_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_126]),c_0_127]),
[final] ).
cnf(c_0_189,plain,
( ~ ccardinality_N(X3)
| ~ rinvP_1_to_N(esk8_1(X3),X1)
| ~ rinvP_1_to_N(esk8_1(X3),X2)
| X2 = X3
| X1 = X3
| X1 = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_126]),c_0_127]),
[final] ).
cnf(c_0_190,plain,
( ~ ccardinality_N(X1)
| esk22_1(esk8_1(X1)) = X1
| esk23_1(esk8_1(X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_126]),c_0_127]),
[final] ).
cnf(c_0_191,plain,
( ~ cinfinite(X2)
| ~ rr_N_times_M_to_1(esk15_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_93,c_0_129]),
[final] ).
cnf(c_0_192,plain,
( ~ cinfinite(X1)
| esk10_1(esk15_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_130,c_0_129]),
[final] ).
cnf(c_0_193,plain,
( ~ cinfinite(X1)
| ccardinality_N_times_M(esk15_1(X1)) ),
inference(spm,[status(thm)],[c_0_94,c_0_129]),
[final] ).
cnf(c_0_194,plain,
( ~ cinfinite(X1)
| esk10_1(esk14_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_130,c_0_131]),
[final] ).
cnf(c_0_195,plain,
( ~ cinfinite(X1)
| esk10_1(esk13_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_130,c_0_132]),
[final] ).
cnf(c_0_196,plain,
( ~ cinfinite(X2)
| ~ rr_N_times_M_to_1(esk14_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_93,c_0_131]),
[final] ).
cnf(c_0_197,plain,
( ~ cinfinite(X2)
| ~ rr_N_times_M_to_1(esk13_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_93,c_0_132]),
[final] ).
cnf(c_0_198,plain,
( ~ cinfinite(X1)
| ccardinality_N_times_M(esk14_1(X1)) ),
inference(spm,[status(thm)],[c_0_94,c_0_131]),
[final] ).
cnf(c_0_199,plain,
( ~ cinfinite(X1)
| ccardinality_N_times_M(esk13_1(X1)) ),
inference(spm,[status(thm)],[c_0_94,c_0_132]),
[final] ).
cnf(c_0_200,plain,
( ~ cinfinite(X2)
| ~ rr_N_times_M_to_1(esk12_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_93,c_0_133]),
[final] ).
cnf(c_0_201,plain,
( ~ cinfinite(X1)
| esk10_1(esk12_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_130,c_0_133]),
[final] ).
cnf(c_0_202,plain,
( ~ cinfinite(X1)
| ccardinality_N_times_M(esk12_1(X1)) ),
inference(spm,[status(thm)],[c_0_94,c_0_133]),
[final] ).
cnf(c_0_203,plain,
( ~ cinfinite(X1)
| esk10_1(esk11_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_130,c_0_134]),
[final] ).
cnf(c_0_204,plain,
( ~ cinfinite(X2)
| ~ rr_N_times_M_to_1(esk11_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_93,c_0_134]),
[final] ).
cnf(c_0_205,plain,
( ~ ccardinality_N(X2)
| ~ rq_M_to_1(esk3_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_96,c_0_135]),
[final] ).
cnf(c_0_206,plain,
( ~ cinfinite(X1)
| ccardinality_N_times_M(esk11_1(X1)) ),
inference(spm,[status(thm)],[c_0_94,c_0_134]),
[final] ).
cnf(c_0_207,plain,
( ~ ccardinality_N(X1)
| ccardinality_N_times_M(esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_97,c_0_135]),
[final] ).
cnf(c_0_208,plain,
( ~ ccardinality_N(X1)
| esk9_1(esk3_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_136,c_0_135]),
[final] ).
cnf(c_0_209,plain,
( ~ ccardinality_N(X2)
| ~ rq_M_to_1(esk2_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_96,c_0_137]),
[final] ).
cnf(c_0_210,plain,
( ~ ccardinality_N(X1)
| ccardinality_N_times_M(esk2_1(X1)) ),
inference(spm,[status(thm)],[c_0_97,c_0_137]),
[final] ).
cnf(c_0_211,plain,
( ~ ccardinality_N(X1)
| esk9_1(esk2_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_136,c_0_137]),
[final] ).
cnf(c_0_212,plain,
( ~ ccardinality_N(X2)
| ~ rq_M_to_1(esk1_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_96,c_0_138]),
[final] ).
cnf(c_0_213,plain,
( ~ cinfinite(X2)
| ~ rp_N_to_1(esk23_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_99,c_0_139]),
[final] ).
cnf(c_0_214,plain,
( ~ ccardinality_N(X1)
| ccardinality_N_times_M(esk1_1(X1)) ),
inference(spm,[status(thm)],[c_0_97,c_0_138]),
[final] ).
cnf(c_0_215,plain,
( ~ ccardinality_N(X1)
| esk9_1(esk1_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_136,c_0_138]),
[final] ).
cnf(c_0_216,plain,
( ~ cinfinite(X1)
| esk8_1(esk23_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_140,c_0_139]),
[final] ).
cnf(c_0_217,plain,
( ~ cinfinite(X1)
| ccardinality_N(esk23_1(X1)) ),
inference(spm,[status(thm)],[c_0_100,c_0_139]),
[final] ).
cnf(c_0_218,plain,
( ~ cinfinite(X1)
| esk8_1(esk22_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_140,c_0_141]),
[final] ).
cnf(c_0_219,plain,
( ~ cinfinite(X2)
| ~ rp_N_to_1(esk22_1(X2),X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_99,c_0_141]),
[final] ).
cnf(c_0_220,plain,
( ~ cinfinite(X1)
| ccardinality_N(esk22_1(X1)) ),
inference(spm,[status(thm)],[c_0_100,c_0_141]),
[final] ).
cnf(c_0_221,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3
| rinvR_N_times_M_to_1(X1,esk21_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_222,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3
| rinvR_N_times_M_to_1(X1,esk20_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_223,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3
| rinvR_N_times_M_to_1(X1,esk19_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_224,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3
| rinvR_N_times_M_to_1(X1,esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_225,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3
| rinvR_N_times_M_to_1(X1,esk17_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_226,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3
| rinvR_N_times_M_to_1(X1,esk16_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_227,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| esk20_1(X1) != esk21_1(X1)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_228,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| esk19_1(X1) != esk21_1(X1)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_229,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| esk18_1(X1) != esk21_1(X1)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_230,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| esk17_1(X1) != esk21_1(X1)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_231,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| esk16_1(X1) != esk21_1(X1)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_232,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| esk19_1(X1) != esk20_1(X1)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_233,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| esk18_1(X1) != esk20_1(X1)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_234,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| esk17_1(X1) != esk20_1(X1)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_235,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| esk16_1(X1) != esk20_1(X1)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_236,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| esk18_1(X1) != esk19_1(X1)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_237,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| esk17_1(X1) != esk19_1(X1)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_238,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| esk16_1(X1) != esk19_1(X1)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_239,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| esk17_1(X1) != esk18_1(X1)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_240,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| esk16_1(X1) != esk18_1(X1)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_241,plain,
( ~ rinvR_N_times_M_to_1(X1,X6)
| ~ rinvR_N_times_M_to_1(X1,X5)
| ~ rinvR_N_times_M_to_1(X1,X4)
| ~ rinvR_N_times_M_to_1(X1,X3)
| ~ rinvR_N_times_M_to_1(X1,X2)
| esk16_1(X1) != esk17_1(X1)
| cinfinite(X1)
| X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_242,plain,
( ~ rinvQ_1_to_M(X1,X4)
| ~ rinvQ_1_to_M(X1,X3)
| ~ rinvQ_1_to_M(X1,X2)
| ccardinality_N(X1)
| X3 = X4
| X2 = X4
| X2 = X3
| rinvQ_1_to_M(X1,esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_243,plain,
( ~ rinvQ_1_to_M(X1,X4)
| ~ rinvQ_1_to_M(X1,X3)
| ~ rinvQ_1_to_M(X1,X2)
| ccardinality_N(X1)
| X3 = X4
| X2 = X4
| X2 = X3
| rinvQ_1_to_M(X1,esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_244,plain,
( ~ rinvQ_1_to_M(X1,X4)
| ~ rinvQ_1_to_M(X1,X3)
| ~ rinvQ_1_to_M(X1,X2)
| ccardinality_N(X1)
| X3 = X4
| X2 = X4
| X2 = X3
| rinvQ_1_to_M(X1,esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_245,plain,
( ~ rinvQ_1_to_M(X1,X4)
| ~ rinvQ_1_to_M(X1,X3)
| ~ rinvQ_1_to_M(X1,X2)
| ccardinality_N(X1)
| X3 = X4
| X2 = X4
| X2 = X3
| rinvQ_1_to_M(X1,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_246,plain,
( ~ rinvQ_1_to_M(X1,X4)
| ~ rinvQ_1_to_M(X1,X3)
| ~ rinvQ_1_to_M(X1,X2)
| esk6_1(X1) != esk7_1(X1)
| ccardinality_N(X1)
| X3 = X4
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_247,plain,
( ~ rinvQ_1_to_M(X1,X4)
| ~ rinvQ_1_to_M(X1,X3)
| ~ rinvQ_1_to_M(X1,X2)
| esk5_1(X1) != esk7_1(X1)
| ccardinality_N(X1)
| X3 = X4
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_248,plain,
( ~ rinvQ_1_to_M(X1,X4)
| ~ rinvQ_1_to_M(X1,X3)
| ~ rinvQ_1_to_M(X1,X2)
| esk4_1(X1) != esk7_1(X1)
| ccardinality_N(X1)
| X3 = X4
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_249,plain,
( ~ rinvQ_1_to_M(X1,X4)
| ~ rinvQ_1_to_M(X1,X3)
| ~ rinvQ_1_to_M(X1,X2)
| esk5_1(X1) != esk6_1(X1)
| ccardinality_N(X1)
| X3 = X4
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_250,plain,
( ~ rinvQ_1_to_M(X1,X4)
| ~ rinvQ_1_to_M(X1,X3)
| ~ rinvQ_1_to_M(X1,X2)
| esk4_1(X1) != esk6_1(X1)
| ccardinality_N(X1)
| X3 = X4
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_251,plain,
( ~ rinvQ_1_to_M(X1,X4)
| ~ rinvQ_1_to_M(X1,X3)
| ~ rinvQ_1_to_M(X1,X2)
| esk4_1(X1) != esk5_1(X1)
| ccardinality_N(X1)
| X3 = X4
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_28]),
[final] ).
cnf(c_0_252,plain,
( ~ rinvP_1_to_N(X1,X3)
| ~ rinvP_1_to_N(X1,X2)
| cinfinite(X1)
| X2 = X3
| rinvP_1_to_N(X1,esk26_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_39]),
[final] ).
cnf(c_0_253,plain,
( ~ rinvP_1_to_N(X1,X3)
| ~ rinvP_1_to_N(X1,X2)
| cinfinite(X1)
| X2 = X3
| rinvP_1_to_N(X1,esk25_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_39]),
[final] ).
cnf(c_0_254,plain,
( ~ rinvP_1_to_N(X1,X3)
| ~ rinvP_1_to_N(X1,X2)
| cinfinite(X1)
| X2 = X3
| rinvP_1_to_N(X1,esk24_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_39]),
[final] ).
cnf(c_0_255,plain,
( ~ rinvP_1_to_N(X1,X3)
| ~ rinvP_1_to_N(X1,X2)
| esk25_1(X1) != esk26_1(X1)
| cinfinite(X1)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_39]),
[final] ).
cnf(c_0_256,plain,
( ~ rinvP_1_to_N(X1,X3)
| ~ rinvP_1_to_N(X1,X2)
| esk24_1(X1) != esk26_1(X1)
| cinfinite(X1)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_39]),
[final] ).
cnf(c_0_257,plain,
( ~ rinvP_1_to_N(X1,X3)
| ~ rinvP_1_to_N(X1,X2)
| esk24_1(X1) != esk25_1(X1)
| cinfinite(X1)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_39]),
[final] ).
cnf(c_0_258,plain,
( ~ rr_N_times_M_to_1(X1,X2)
| cinfinite(X2) ),
inference(split_conjunct,[status(thm)],[c_0_142]),
[final] ).
cnf(c_0_259,plain,
( ~ rp_N_to_1(X1,X2)
| cinfinite(X2) ),
inference(split_conjunct,[status(thm)],[c_0_143]),
[final] ).
cnf(c_0_260,plain,
( ~ rq_M_to_1(X1,X2)
| ccardinality_N(X2) ),
inference(split_conjunct,[status(thm)],[c_0_144]),
[final] ).
cnf(c_0_261,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_145]),
[final] ).
cnf(c_0_262,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_145]),
[final] ).
cnf(c_0_263,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_146]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS052+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 20 22:52:03 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.24/0.54 % Version: 3.5.1
% 0.24/0.54 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.54 % Starting sh5l with 300s (1) cores
% 0.24/0.54 % sh5l with pid 1933463 completed with status 9
% 0.24/0.54 % new_bool_3 with pid 1933461 completed with status 9
% 0.24/0.54 % new_bool_1 with pid 1933462 completed with status 9
% 0.24/0.54 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1933460 completed with status 1
% 0.24/0.54 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.24/0.54 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.54 % No SInE strategy applied
% 0.24/0.54 % Search class: FGHSF-FSLF11-SFFFFFNN
% 0.24/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.24/0.54 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.24/0.54 % Starting new_bool_3 with 136s (1) cores
% 0.24/0.54 % Starting new_bool_1 with 136s (1) cores
% 0.24/0.54 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1933473 completed with status 1
% 0.24/0.54 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.24/0.54 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.24/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.24/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.54 % No SInE strategy applied
% 0.24/0.54 % Search class: FGHSF-FSLF11-SFFFFFNN
% 0.24/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.24/0.54 % Preprocessing time : 0.003 s
% 0.24/0.54 % Presaturation interreduction done
% 0.24/0.54
% 0.24/0.54 % No proof found!
% 0.24/0.54 % SZS status Satisfiable
% 0.24/0.54 % SZS output start Saturation
% See solution above
% 0.24/0.54 % Parsed axioms : 39
% 0.24/0.54 % Removed by relevancy pruning/SinE : 0
% 0.24/0.54 % Initial clauses : 111
% 0.24/0.54 % Removed in clause preprocessing : 20
% 0.24/0.54 % Initial clauses in saturation : 91
% 0.24/0.54 % Processed clauses : 655
% 0.24/0.54 % ...of these trivial : 30
% 0.24/0.54 % ...subsumed : 318
% 0.24/0.54 % ...remaining for further processing : 307
% 0.24/0.54 % Other redundant clauses eliminated : 0
% 0.24/0.54 % Clauses deleted for lack of memory : 0
% 0.24/0.54 % Backward-subsumed : 0
% 0.24/0.54 % Backward-rewritten : 0
% 0.24/0.54 % Generated clauses : 528
% 0.24/0.54 % ...of the previous two non-redundant : 476
% 0.24/0.54 % ...aggressively subsumed : 0
% 0.24/0.54 % Contextual simplify-reflections : 102
% 0.24/0.54 % Paramodulations : 528
% 0.24/0.54 % Factorizations : 0
% 0.24/0.54 % NegExts : 0
% 0.24/0.54 % Equation resolutions : 0
% 0.24/0.54 % Disequality decompositions : 0
% 0.24/0.54 % Total rewrite steps : 0
% 0.24/0.54 % ...of those cached : 0
% 0.24/0.54 % Propositional unsat checks : 0
% 0.24/0.54 % Propositional check models : 0
% 0.24/0.54 % Propositional check unsatisfiable : 0
% 0.24/0.54 % Propositional clauses : 0
% 0.24/0.54 % Propositional clauses after purity: 0
% 0.24/0.54 % Propositional unsat core size : 0
% 0.24/0.54 % Propositional preprocessing time : 0.000
% 0.24/0.54 % Propositional encoding time : 0.000
% 0.24/0.54 % Propositional solver time : 0.000
% 0.24/0.54 % Success case prop preproc time : 0.000
% 0.24/0.54 % Success case prop encoding time : 0.000
% 0.24/0.54 % Success case prop solver time : 0.000
% 0.24/0.54 % Current number of processed clauses : 219
% 0.24/0.54 % Positive orientable unit clauses : 0
% 0.24/0.54 % Positive unorientable unit clauses: 0
% 0.24/0.54 % Negative unit clauses : 1
% 0.24/0.54 % Non-unit-clauses : 218
% 0.24/0.54 % Current number of unprocessed clauses: 0
% 0.24/0.54 % ...number of literals in the above : 0
% 0.24/0.54 % Current number of archived formulas : 0
% 0.24/0.54 % Current number of archived clauses : 89
% 0.24/0.54 % Clause-clause subsumption calls (NU) : 23100
% 0.24/0.54 % Rec. Clause-clause subsumption calls : 1681
% 0.24/0.54 % Non-unit clause-clause subsumptions : 420
% 0.24/0.54 % Unit Clause-clause subsumption calls : 0
% 0.24/0.54 % Rewrite failures with RHS unbound : 0
% 0.24/0.54 % BW rewrite match attempts : 0
% 0.24/0.54 % BW rewrite match successes : 0
% 0.24/0.54 % Condensation attempts : 0
% 0.24/0.54 % Condensation successes : 0
% 0.24/0.54 % Termbank termtop insertions : 29821
% 0.24/0.54 % Search garbage collected termcells : 1908
% 0.24/0.54
% 0.24/0.54 % -------------------------------------------------
% 0.24/0.54 % User time : 0.098 s
% 0.24/0.54 % System time : 0.005 s
% 0.24/0.54 % Total time : 0.103 s
% 0.24/0.54 % Maximum resident set size: 3940 pages
% 0.24/0.54
% 0.24/0.54 % -------------------------------------------------
% 0.24/0.54 % User time : 0.363 s
% 0.24/0.54 % System time : 0.053 s
% 0.24/0.54 % Total time : 0.415 s
% 0.24/0.54 % Maximum resident set size: 4608 pages
% 0.24/0.54 % E exiting
%------------------------------------------------------------------------------