%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MSC014-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 01:28:38 PM UTC 2026
% Result : Satisfiable 0.34s 0.54s
% Output : Saturation 0.34s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_49ERROR: Could not build tree for root c_0_79ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_12,axiom,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,ifeq2(equalish(X4,X4),true,f(X4,X3,X2,X1,sK1_exists_f_Z(X4,X3,X2,X1)),true),true),true),true) = true,
exists_f,
[final] ).
cnf(c_0_13,axiom,
equalish(n0,n0) = true,
n0_and_n1_reflexive_1,
[final] ).
cnf(c_0_14,axiom,
ifeq2(X1,X1,X2,X3) = X2,
ifeq_axiom,
[final] ).
cnf(c_0_15,axiom,
equalish(n1,n1) = true,
n0_and_n1_reflexive,
[final] ).
cnf(c_0_16,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(n0,X3,X2,X1,sK1_exists_f_Z(n0,X3,X2,X1)),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_17,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(n1,X3,X2,X1,sK1_exists_f_Z(n1,X3,X2,X1)),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_18,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n0,n0,X2,X1,sK1_exists_f_Z(n0,n0,X2,X1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_19,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n0,n1,X2,X1,sK1_exists_f_Z(n0,n1,X2,X1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_20,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n1,n0,X2,X1,sK1_exists_f_Z(n1,n0,X2,X1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_21,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n1,n1,X2,X1,sK1_exists_f_Z(n1,n1,X2,X1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_22,plain,
ifeq2(equalish(X1,X1),true,f(n0,n0,n0,X1,sK1_exists_f_Z(n0,n0,n0,X1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_23,plain,
ifeq2(equalish(X1,X1),true,f(n0,n0,n1,X1,sK1_exists_f_Z(n0,n0,n1,X1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_24,plain,
ifeq2(equalish(X1,X1),true,f(n0,n1,n0,X1,sK1_exists_f_Z(n0,n1,n0,X1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_25,plain,
ifeq2(equalish(X1,X1),true,f(n0,n1,n1,X1,sK1_exists_f_Z(n0,n1,n1,X1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_26,plain,
ifeq2(equalish(X1,X1),true,f(n1,n0,n0,X1,sK1_exists_f_Z(n1,n0,n0,X1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_27,plain,
ifeq2(equalish(X1,X1),true,f(n1,n0,n1,X1,sK1_exists_f_Z(n1,n0,n1,X1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_28,plain,
ifeq2(equalish(X1,X1),true,f(n1,n1,n0,X1,sK1_exists_f_Z(n1,n1,n0,X1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_29,plain,
ifeq2(equalish(X1,X1),true,f(n1,n1,n1,X1,sK1_exists_f_Z(n1,n1,n1,X1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_30,axiom,
ifeq2(f(X1,X2,X3,X4,X5),true,ifeq2(f(X6,X7,X8,X9,X5),true,equalish(X9,X4),true),true) = true,
inject_f_3,
[final] ).
cnf(c_0_31,plain,
f(n0,n0,n0,n0,sK1_exists_f_Z(n0,n0,n0,n0)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_32,plain,
f(n0,n0,n0,n1,sK1_exists_f_Z(n0,n0,n0,n1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_33,plain,
f(n0,n0,n1,n0,sK1_exists_f_Z(n0,n0,n1,n0)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_34,plain,
f(n0,n0,n1,n1,sK1_exists_f_Z(n0,n0,n1,n1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_35,plain,
f(n0,n1,n0,n0,sK1_exists_f_Z(n0,n1,n0,n0)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_36,plain,
f(n0,n1,n0,n1,sK1_exists_f_Z(n0,n1,n0,n1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_37,plain,
f(n0,n1,n1,n0,sK1_exists_f_Z(n0,n1,n1,n0)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_38,plain,
f(n0,n1,n1,n1,sK1_exists_f_Z(n0,n1,n1,n1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_39,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(X3,n0,X2,X1,sK1_exists_f_Z(X3,n0,X2,X1)),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_40,plain,
f(n1,n0,n0,n0,sK1_exists_f_Z(n1,n0,n0,n0)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_41,plain,
f(n1,n0,n0,n1,sK1_exists_f_Z(n1,n0,n0,n1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_42,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(X3,n1,X2,X1,sK1_exists_f_Z(X3,n1,X2,X1)),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_43,plain,
f(n1,n0,n1,n0,sK1_exists_f_Z(n1,n0,n1,n0)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_44,plain,
f(n1,n0,n1,n1,sK1_exists_f_Z(n1,n0,n1,n1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_45,plain,
f(n1,n1,n0,n0,sK1_exists_f_Z(n1,n1,n0,n0)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_46,plain,
f(n1,n1,n0,n1,sK1_exists_f_Z(n1,n1,n0,n1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_47,plain,
f(n1,n1,n1,n0,sK1_exists_f_Z(n1,n1,n1,n0)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_48,plain,
f(n1,n1,n1,n1,sK1_exists_f_Z(n1,n1,n1,n1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_50,axiom,
ifeq2(f(X1,X2,X3,X4,X5),true,ifeq2(f(X6,X7,X8,X9,X5),true,equalish(X6,X1),true),true) = true,
inject_f,
[final] ).
cnf(c_0_51,axiom,
ifeq2(f(X1,X2,X3,X4,X5),true,ifeq2(f(X6,X7,X8,X9,X5),true,equalish(X7,X2),true),true) = true,
inject_f_1,
[final] ).
cnf(c_0_52,axiom,
ifeq2(f(X1,X2,X3,X4,X5),true,ifeq2(f(X6,X7,X8,X9,X5),true,equalish(X8,X3),true),true) = true,
inject_f_2,
[final] ).
cnf(c_0_53,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(n0,X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_14]),
[final] ).
cnf(c_0_54,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(n1,X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_32]),c_0_14]),
[final] ).
cnf(c_0_55,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(n0,X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_33]),c_0_14]),
[final] ).
cnf(c_0_56,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(n1,X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_34]),c_0_14]),
[final] ).
cnf(c_0_57,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(n0,X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_35]),c_0_14]),
[final] ).
cnf(c_0_58,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(n1,X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_36]),c_0_14]),
[final] ).
cnf(c_0_59,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(n0,X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_37]),c_0_14]),
[final] ).
cnf(c_0_60,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(n1,X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_38]),c_0_14]),
[final] ).
cnf(c_0_61,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n0,n0,X1,sK1_exists_f_Z(X2,n0,n0,X1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_62,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n0,n1,X1,sK1_exists_f_Z(X2,n0,n1,X1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_63,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(n0,X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_40]),c_0_14]),
[final] ).
cnf(c_0_64,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(n1,X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_41]),c_0_14]),
[final] ).
cnf(c_0_65,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n1,n0,X1,sK1_exists_f_Z(X2,n1,n0,X1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_66,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n1,n1,X1,sK1_exists_f_Z(X2,n1,n1,X1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_67,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(n0,X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_43]),c_0_14]),
[final] ).
cnf(c_0_68,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(n1,X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_44]),c_0_14]),
[final] ).
cnf(c_0_69,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n0,X2,n0,X1,sK1_exists_f_Z(n0,X2,n0,X1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_70,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n0,X2,n1,X1,sK1_exists_f_Z(n0,X2,n1,X1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_71,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(X3,X2,n0,X1,sK1_exists_f_Z(X3,X2,n0,X1)),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_72,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(X3,X2,n1,X1,sK1_exists_f_Z(X3,X2,n1,X1)),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_73,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n1,X2,n0,X1,sK1_exists_f_Z(n1,X2,n0,X1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_74,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n1,X2,n1,X1,sK1_exists_f_Z(n1,X2,n1,X1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_75,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(n0,X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_45]),c_0_14]),
[final] ).
cnf(c_0_76,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(n1,X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_46]),c_0_14]),
[final] ).
cnf(c_0_77,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(n0,X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_47]),c_0_14]),
[final] ).
cnf(c_0_78,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(n1,X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_48]),c_0_14]),
[final] ).
cnf(c_0_79,negated_conjecture,
a != b,
c_0_49,
[final] ).
cnf(c_0_80,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(n0,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_31]),c_0_14]),
[final] ).
cnf(c_0_81,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(n0,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_31]),c_0_14]),
[final] ).
cnf(c_0_82,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(n0,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_31]),c_0_14]),
[final] ).
cnf(c_0_83,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_53]),
[final] ).
cnf(c_0_84,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X1,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_31]),c_0_14]),
[final] ).
cnf(c_0_85,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X2,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_31]),c_0_14]),
[final] ).
cnf(c_0_86,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X3,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_31]),c_0_14]),
[final] ).
cnf(c_0_87,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X4,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_14]),
[final] ).
cnf(c_0_88,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(n0,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_32]),c_0_14]),
[final] ).
cnf(c_0_89,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(n0,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_32]),c_0_14]),
[final] ).
cnf(c_0_90,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(n0,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_32]),c_0_14]),
[final] ).
cnf(c_0_91,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_54]),
[final] ).
cnf(c_0_92,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X1,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_32]),c_0_14]),
[final] ).
cnf(c_0_93,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X2,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_32]),c_0_14]),
[final] ).
cnf(c_0_94,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X3,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_32]),c_0_14]),
[final] ).
cnf(c_0_95,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X4,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_32]),c_0_14]),
[final] ).
cnf(c_0_96,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(n0,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_33]),c_0_14]),
[final] ).
cnf(c_0_97,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(n0,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_33]),c_0_14]),
[final] ).
cnf(c_0_98,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(n1,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_33]),c_0_14]),
[final] ).
cnf(c_0_99,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_55]),
[final] ).
cnf(c_0_100,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X1,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_33]),c_0_14]),
[final] ).
cnf(c_0_101,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X2,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_33]),c_0_14]),
[final] ).
cnf(c_0_102,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X3,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_33]),c_0_14]),
[final] ).
cnf(c_0_103,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X4,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_33]),c_0_14]),
[final] ).
cnf(c_0_104,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(n0,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_34]),c_0_14]),
[final] ).
cnf(c_0_105,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(n0,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_34]),c_0_14]),
[final] ).
cnf(c_0_106,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(n1,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_34]),c_0_14]),
[final] ).
cnf(c_0_107,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_56]),
[final] ).
cnf(c_0_108,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X1,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_34]),c_0_14]),
[final] ).
cnf(c_0_109,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X2,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_34]),c_0_14]),
[final] ).
cnf(c_0_110,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X3,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_34]),c_0_14]),
[final] ).
cnf(c_0_111,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X4,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_34]),c_0_14]),
[final] ).
cnf(c_0_112,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(n0,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_35]),c_0_14]),
[final] ).
cnf(c_0_113,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(n1,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_35]),c_0_14]),
[final] ).
cnf(c_0_114,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_57]),
[final] ).
cnf(c_0_115,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(n0,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_35]),c_0_14]),
[final] ).
cnf(c_0_116,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X1,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_35]),c_0_14]),
[final] ).
cnf(c_0_117,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X2,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_35]),c_0_14]),
[final] ).
cnf(c_0_118,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X3,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_35]),c_0_14]),
[final] ).
cnf(c_0_119,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X4,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_35]),c_0_14]),
[final] ).
cnf(c_0_120,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(n0,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_36]),c_0_14]),
[final] ).
cnf(c_0_121,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(n1,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_36]),c_0_14]),
[final] ).
cnf(c_0_122,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(n0,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_36]),c_0_14]),
[final] ).
cnf(c_0_123,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_58]),
[final] ).
cnf(c_0_124,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X1,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_36]),c_0_14]),
[final] ).
cnf(c_0_125,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X2,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_36]),c_0_14]),
[final] ).
cnf(c_0_126,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X3,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_36]),c_0_14]),
[final] ).
cnf(c_0_127,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X4,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_36]),c_0_14]),
[final] ).
cnf(c_0_128,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(n0,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_37]),c_0_14]),
[final] ).
cnf(c_0_129,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(n1,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_37]),c_0_14]),
[final] ).
cnf(c_0_130,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(n1,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_37]),c_0_14]),
[final] ).
cnf(c_0_131,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_59]),
[final] ).
cnf(c_0_132,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X1,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_37]),c_0_14]),
[final] ).
cnf(c_0_133,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X2,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_37]),c_0_14]),
[final] ).
cnf(c_0_134,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X3,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_37]),c_0_14]),
[final] ).
cnf(c_0_135,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X4,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_37]),c_0_14]),
[final] ).
cnf(c_0_136,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(n0,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_38]),c_0_14]),
[final] ).
cnf(c_0_137,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(n1,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_38]),c_0_14]),
[final] ).
cnf(c_0_138,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(n1,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_38]),c_0_14]),
[final] ).
cnf(c_0_139,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_60]),
[final] ).
cnf(c_0_140,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X1,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_38]),c_0_14]),
[final] ).
cnf(c_0_141,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X2,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_38]),c_0_14]),
[final] ).
cnf(c_0_142,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X3,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_38]),c_0_14]),
[final] ).
cnf(c_0_143,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X4,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_38]),c_0_14]),
[final] ).
cnf(c_0_144,plain,
ifeq2(equalish(X1,X1),true,f(X1,n0,n0,n0,sK1_exists_f_Z(X1,n0,n0,n0)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_145,plain,
ifeq2(equalish(X1,X1),true,f(X1,n0,n0,n1,sK1_exists_f_Z(X1,n0,n0,n1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_146,plain,
ifeq2(equalish(X1,X1),true,f(X1,n0,n1,n0,sK1_exists_f_Z(X1,n0,n1,n0)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_147,plain,
ifeq2(equalish(X1,X1),true,f(X1,n0,n1,n1,sK1_exists_f_Z(X1,n0,n1,n1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_148,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(n1,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_40]),c_0_14]),
[final] ).
cnf(c_0_149,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(n0,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_40]),c_0_14]),
[final] ).
cnf(c_0_150,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(n0,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_40]),c_0_14]),
[final] ).
cnf(c_0_151,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_63]),
[final] ).
cnf(c_0_152,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X1,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_40]),c_0_14]),
[final] ).
cnf(c_0_153,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X2,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_40]),c_0_14]),
[final] ).
cnf(c_0_154,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X3,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_40]),c_0_14]),
[final] ).
cnf(c_0_155,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X4,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_40]),c_0_14]),
[final] ).
cnf(c_0_156,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(n1,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_41]),c_0_14]),
[final] ).
cnf(c_0_157,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(n0,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_41]),c_0_14]),
[final] ).
cnf(c_0_158,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(n0,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_41]),c_0_14]),
[final] ).
cnf(c_0_159,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_64]),
[final] ).
cnf(c_0_160,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X1,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_41]),c_0_14]),
[final] ).
cnf(c_0_161,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X2,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_41]),c_0_14]),
[final] ).
cnf(c_0_162,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X3,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_41]),c_0_14]),
[final] ).
cnf(c_0_163,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X4,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_41]),c_0_14]),
[final] ).
cnf(c_0_164,plain,
ifeq2(equalish(X1,X1),true,f(X1,n1,n0,n0,sK1_exists_f_Z(X1,n1,n0,n0)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_165,plain,
ifeq2(equalish(X1,X1),true,f(X1,n1,n0,n1,sK1_exists_f_Z(X1,n1,n0,n1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_166,plain,
ifeq2(equalish(X1,X1),true,f(X1,n1,n1,n0,sK1_exists_f_Z(X1,n1,n1,n0)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_167,plain,
ifeq2(equalish(X1,X1),true,f(X1,n1,n1,n1,sK1_exists_f_Z(X1,n1,n1,n1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_168,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(n1,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_43]),c_0_14]),
[final] ).
cnf(c_0_169,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(n0,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_43]),c_0_14]),
[final] ).
cnf(c_0_170,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(n1,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_43]),c_0_14]),
[final] ).
cnf(c_0_171,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_67]),
[final] ).
cnf(c_0_172,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X1,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_43]),c_0_14]),
[final] ).
cnf(c_0_173,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X2,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_43]),c_0_14]),
[final] ).
cnf(c_0_174,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X3,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_43]),c_0_14]),
[final] ).
cnf(c_0_175,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X4,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_43]),c_0_14]),
[final] ).
cnf(c_0_176,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(n1,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_44]),c_0_14]),
[final] ).
cnf(c_0_177,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(n0,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_44]),c_0_14]),
[final] ).
cnf(c_0_178,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(n1,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_44]),c_0_14]),
[final] ).
cnf(c_0_179,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_68]),
[final] ).
cnf(c_0_180,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X1,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_44]),c_0_14]),
[final] ).
cnf(c_0_181,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X2,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_44]),c_0_14]),
[final] ).
cnf(c_0_182,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X3,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_44]),c_0_14]),
[final] ).
cnf(c_0_183,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X4,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_44]),c_0_14]),
[final] ).
cnf(c_0_184,plain,
ifeq2(equalish(X1,X1),true,f(n0,X1,n0,n0,sK1_exists_f_Z(n0,X1,n0,n0)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_185,plain,
ifeq2(equalish(X1,X1),true,f(n0,X1,n0,n1,sK1_exists_f_Z(n0,X1,n0,n1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_186,plain,
ifeq2(equalish(X1,X1),true,f(n0,X1,n1,n0,sK1_exists_f_Z(n0,X1,n1,n0)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_187,plain,
ifeq2(equalish(X1,X1),true,f(n0,X1,n1,n1,sK1_exists_f_Z(n0,X1,n1,n1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_188,plain,
ifeq2(equalish(X1,X1),true,f(n0,n0,X1,n0,sK1_exists_f_Z(n0,n0,X1,n0)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_189,plain,
ifeq2(equalish(X1,X1),true,f(n0,n0,X1,n1,sK1_exists_f_Z(n0,n0,X1,n1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_190,plain,
ifeq2(equalish(X1,X1),true,f(n0,n1,X1,n0,sK1_exists_f_Z(n0,n1,X1,n0)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_191,plain,
ifeq2(equalish(X1,X1),true,f(n0,n1,X1,n1,sK1_exists_f_Z(n0,n1,X1,n1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_192,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,n0,n0,sK1_exists_f_Z(X2,X1,n0,n0)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_193,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,n0,n1,sK1_exists_f_Z(X2,X1,n0,n1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_194,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,n1,n0,sK1_exists_f_Z(X2,X1,n1,n0)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_195,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,n1,n1,sK1_exists_f_Z(X2,X1,n1,n1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_196,plain,
ifeq2(equalish(X1,X1),true,f(n1,X1,n0,n0,sK1_exists_f_Z(n1,X1,n0,n0)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_197,plain,
ifeq2(equalish(X1,X1),true,f(n1,X1,n0,n1,sK1_exists_f_Z(n1,X1,n0,n1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_198,plain,
ifeq2(equalish(X1,X1),true,f(n1,X1,n1,n0,sK1_exists_f_Z(n1,X1,n1,n0)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_199,plain,
ifeq2(equalish(X1,X1),true,f(n1,X1,n1,n1,sK1_exists_f_Z(n1,X1,n1,n1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_200,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(n1,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_45]),c_0_14]),
[final] ).
cnf(c_0_201,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(n1,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_45]),c_0_14]),
[final] ).
cnf(c_0_202,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(n0,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_45]),c_0_14]),
[final] ).
cnf(c_0_203,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_75]),
[final] ).
cnf(c_0_204,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X1,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_45]),c_0_14]),
[final] ).
cnf(c_0_205,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X2,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_45]),c_0_14]),
[final] ).
cnf(c_0_206,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X3,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_45]),c_0_14]),
[final] ).
cnf(c_0_207,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X4,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_45]),c_0_14]),
[final] ).
cnf(c_0_208,plain,
ifeq2(equalish(X1,X1),true,f(n1,n0,X1,n0,sK1_exists_f_Z(n1,n0,X1,n0)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_209,plain,
ifeq2(equalish(X1,X1),true,f(n1,n0,X1,n1,sK1_exists_f_Z(n1,n0,X1,n1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_210,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n0,X1,n0,sK1_exists_f_Z(X2,n0,X1,n0)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_211,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n0,X1,n1,sK1_exists_f_Z(X2,n0,X1,n1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_212,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n1,X1,n0,sK1_exists_f_Z(X2,n1,X1,n0)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_213,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n1,X1,n1,sK1_exists_f_Z(X2,n1,X1,n1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_214,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n0,X2,X1,n0,sK1_exists_f_Z(n0,X2,X1,n0)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_215,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(n1,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_46]),c_0_14]),
[final] ).
cnf(c_0_216,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(n1,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_46]),c_0_14]),
[final] ).
cnf(c_0_217,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(n0,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_46]),c_0_14]),
[final] ).
cnf(c_0_218,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_76]),
[final] ).
cnf(c_0_219,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X1,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_46]),c_0_14]),
[final] ).
cnf(c_0_220,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X2,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_46]),c_0_14]),
[final] ).
cnf(c_0_221,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X3,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_46]),c_0_14]),
[final] ).
cnf(c_0_222,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n0,X2,X1,n1,sK1_exists_f_Z(n0,X2,X1,n1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_223,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X4,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_46]),c_0_14]),
[final] ).
cnf(c_0_224,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(n1,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_14]),
[final] ).
cnf(c_0_225,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(n1,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_47]),c_0_14]),
[final] ).
cnf(c_0_226,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(n1,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_47]),c_0_14]),
[final] ).
cnf(c_0_227,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_77]),
[final] ).
cnf(c_0_228,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X1,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_14]),
[final] ).
cnf(c_0_229,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X2,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_47]),c_0_14]),
[final] ).
cnf(c_0_230,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X3,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_47]),c_0_14]),
[final] ).
cnf(c_0_231,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X4,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_47]),c_0_14]),
[final] ).
cnf(c_0_232,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(n1,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_48]),c_0_14]),
[final] ).
cnf(c_0_233,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(n1,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_48]),c_0_14]),
[final] ).
cnf(c_0_234,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(n1,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_48]),c_0_14]),
[final] ).
cnf(c_0_235,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_78]),
[final] ).
cnf(c_0_236,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X1,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_48]),c_0_14]),
[final] ).
cnf(c_0_237,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X2,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_48]),c_0_14]),
[final] ).
cnf(c_0_238,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X3,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_48]),c_0_14]),
[final] ).
cnf(c_0_239,plain,
ifeq2(f(X1,X2,X3,X4,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X4,n1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_48]),c_0_14]),
[final] ).
cnf(c_0_240,plain,
ifeq2(equalish(X1,X1),true,f(n1,n1,X1,n0,sK1_exists_f_Z(n1,n1,X1,n0)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_241,plain,
ifeq2(equalish(X1,X1),true,f(n1,n1,X1,n1,sK1_exists_f_Z(n1,n1,X1,n1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_242,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n1,X2,X1,n0,sK1_exists_f_Z(n1,X2,X1,n0)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_243,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n1,X2,X1,n1,sK1_exists_f_Z(n1,X2,X1,n1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_244,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(X3,X2,X1,n0,sK1_exists_f_Z(X3,X2,X1,n0)),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_245,plain,
ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(X3,X2,X1,n1,sK1_exists_f_Z(X3,X2,X1,n1)),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_246,plain,
ifeq2(f(n0,X1,X2,X3,X4),true,ifeq2(f(n0,X5,X6,X7,X4),true,true,true),true) = true,
inference(spm,[status(thm)],[c_0_50,c_0_13]),
[final] ).
cnf(c_0_247,plain,
ifeq2(f(n1,X1,X2,X3,X4),true,ifeq2(f(n1,X5,X6,X7,X4),true,true,true),true) = true,
inference(spm,[status(thm)],[c_0_50,c_0_15]),
[final] ).
cnf(c_0_248,plain,
ifeq2(f(X1,n0,X2,X3,X4),true,ifeq2(f(X5,n0,X6,X7,X4),true,true,true),true) = true,
inference(spm,[status(thm)],[c_0_51,c_0_13]),
[final] ).
cnf(c_0_249,plain,
ifeq2(f(X1,n1,X2,X3,X4),true,ifeq2(f(X5,n1,X6,X7,X4),true,true,true),true) = true,
inference(spm,[status(thm)],[c_0_51,c_0_15]),
[final] ).
cnf(c_0_250,plain,
ifeq2(f(X1,X2,n0,X3,X4),true,ifeq2(f(X5,X6,n0,X7,X4),true,true,true),true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_13]),
[final] ).
cnf(c_0_251,plain,
ifeq2(f(X1,X2,n1,X3,X4),true,ifeq2(f(X5,X6,n1,X7,X4),true,true,true),true) = true,
inference(spm,[status(thm)],[c_0_52,c_0_15]),
[final] ).
cnf(c_0_252,plain,
ifeq2(f(X1,X2,X3,n0,X4),true,ifeq2(f(X5,X6,X7,n0,X4),true,true,true),true) = true,
inference(spm,[status(thm)],[c_0_30,c_0_13]),
[final] ).
cnf(c_0_253,plain,
ifeq2(f(X1,X2,X3,n1,X4),true,ifeq2(f(X5,X6,X7,n1,X4),true,true,true),true) = true,
inference(spm,[status(thm)],[c_0_30,c_0_15]),
[final] ).
cnf(c_0_254,axiom,
ifeq(equalish(n1,n0),true,a,b) = b,
n0_not_n1,
[final] ).
cnf(c_0_255,axiom,
ifeq(equalish(n0,n1),true,a,b) = b,
n0_not_n1_1,
[final] ).
cnf(c_0_256,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom_001,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC014-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 01:28:32 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.34/0.54 % Version: 3.5.1
% 0.34/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.34/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.34/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.34/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.34/0.54 % Starting sh5l with 300s (1) cores
% 0.34/0.54 % new_bool_3 with pid 1702795 completed with status 9
% 0.34/0.54 % new_bool_1 with pid 1702796 completed with status 9
% 0.34/0.54 % sh5l with pid 1702797 completed with status 1
% 0.34/0.54 % Result found by sh5l
% 0.34/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.34/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.34/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.34/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.34/0.54 % Starting sh5l with 300s (1) cores
% 0.34/0.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.34/0.54 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.34/0.54 % Search class: FUUPM-FFSS33-DFFFFFNN
% 0.34/0.54 % partial match(1): FUUPM-FFMS33-DFFFFFNN
% 0.34/0.54 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.34/0.54 % Starting SubtermCWHack with 31s (1) cores
% 0.34/0.54 % SubtermCWHack with pid 1702806 completed with status 1
% 0.34/0.54 % Result found by SubtermCWHack
% 0.34/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.34/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.34/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.34/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.34/0.54 % Starting sh5l with 300s (1) cores
% 0.34/0.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.34/0.54 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.34/0.54 % Search class: FUUPM-FFSS33-DFFFFFNN
% 0.34/0.54 % partial match(1): FUUPM-FFMS33-DFFFFFNN
% 0.34/0.54 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.34/0.54 % Starting SubtermCWHack with 31s (1) cores
% 0.34/0.54 % Preprocessing time : 0.002 s
% 0.34/0.54
% 0.34/0.54 % No proof found!
% 0.34/0.54 % SZS status Satisfiable
% 0.34/0.54 % SZS output start Saturation
% See solution above
% 0.34/0.54 % Parsed axioms : 12
% 0.34/0.54 % Removed by relevancy pruning/SinE : 0
% 0.34/0.54 % Initial clauses : 12
% 0.34/0.54 % Removed in clause preprocessing : 0
% 0.34/0.54 % Initial clauses in saturation : 12
% 0.34/0.54 % Processed clauses : 866
% 0.34/0.54 % ...of these trivial : 494
% 0.34/0.54 % ...subsumed : 0
% 0.34/0.54 % ...remaining for further processing : 372
% 0.34/0.54 % Other redundant clauses eliminated : 0
% 0.34/0.54 % Clauses deleted for lack of memory : 0
% 0.34/0.54 % Backward-subsumed : 0
% 0.34/0.54 % Backward-rewritten : 128
% 0.34/0.54 % Generated clauses : 3072
% 0.34/0.54 % ...of the previous two non-redundant : 854
% 0.34/0.54 % ...aggressively subsumed : 0
% 0.34/0.54 % Contextual simplify-reflections : 0
% 0.34/0.54 % Paramodulations : 3072
% 0.34/0.54 % Factorizations : 0
% 0.34/0.54 % NegExts : 0
% 0.34/0.54 % Equation resolutions : 0
% 0.34/0.54 % Disequality decompositions : 0
% 0.34/0.54 % Total rewrite steps : 5136
% 0.34/0.54 % ...of those cached : 4545
% 0.34/0.54 % Propositional unsat checks : 0
% 0.34/0.54 % Propositional check models : 0
% 0.34/0.54 % Propositional check unsatisfiable : 0
% 0.34/0.54 % Propositional clauses : 0
% 0.34/0.54 % Propositional clauses after purity: 0
% 0.34/0.54 % Propositional unsat core size : 0
% 0.34/0.54 % Propositional preprocessing time : 0.000
% 0.34/0.54 % Propositional encoding time : 0.000
% 0.34/0.54 % Propositional solver time : 0.000
% 0.34/0.54 % Success case prop preproc time : 0.000
% 0.34/0.54 % Success case prop encoding time : 0.000
% 0.34/0.54 % Success case prop solver time : 0.000
% 0.34/0.54 % Current number of processed clauses : 244
% 0.34/0.54 % Positive orientable unit clauses : 243
% 0.34/0.54 % Positive unorientable unit clauses: 0
% 0.34/0.54 % Negative unit clauses : 1
% 0.34/0.54 % Non-unit-clauses : 0
% 0.34/0.54 % Current number of unprocessed clauses: 0
% 0.34/0.54 % ...number of literals in the above : 0
% 0.34/0.54 % Current number of archived formulas : 0
% 0.34/0.54 % Current number of archived clauses : 128
% 0.34/0.54 % Clause-clause subsumption calls (NU) : 0
% 0.34/0.54 % Rec. Clause-clause subsumption calls : 0
% 0.34/0.54 % Non-unit clause-clause subsumptions : 0
% 0.34/0.54 % Unit Clause-clause subsumption calls : 0
% 0.34/0.54 % Rewrite failures with RHS unbound : 0
% 0.34/0.54 % BW rewrite match attempts : 29848
% 0.34/0.54 % BW rewrite match successes : 128
% 0.34/0.54 % Condensation attempts : 0
% 0.34/0.54 % Condensation successes : 0
% 0.34/0.54 % Termbank termtop insertions : 47506
% 0.34/0.54 % Search garbage collected termcells : 2
% 0.34/0.54
% 0.34/0.54 % -------------------------------------------------
% 0.34/0.54 % User time : 0.089 s
% 0.34/0.54 % System time : 0.007 s
% 0.34/0.54 % Total time : 0.096 s
% 0.34/0.54 % Maximum resident set size: 3640 pages
% 0.34/0.54
% 0.34/0.54 % -------------------------------------------------
% 0.34/0.54 % User time : 0.129 s
% 0.34/0.54 % System time : 0.039 s
% 0.34/0.54 % Total time : 0.169 s
% 0.34/0.54 % Maximum resident set size: 4608 pages
% 0.34/0.54 % E exiting
%------------------------------------------------------------------------------