%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MSC014-10 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:48:57 PM UTC 2026
% Result : Satisfiable 1.19s 1.65s
% Output : Saturation 1.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(exists_f,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,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exists_f) ).
cnf(n0_and_n1_reflexive_1,axiom,
equalish(n0,n0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n0_and_n1_reflexive_1) ).
cnf(ifeq_axiom,axiom,
ifeq2(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(n0_and_n1_reflexive,axiom,
equalish(n1,n1) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n0_and_n1_reflexive) ).
cnf(inject_f_3,axiom,
ifeq2(f(X1,X2,X3,X4,X5),true,ifeq2(f(X6,X7,X8,X9,X5),true,equalish(X9,X4),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inject_f_3) ).
cnf(inject_f,axiom,
ifeq2(f(X1,X2,X3,X4,X5),true,ifeq2(f(X6,X7,X8,X9,X5),true,equalish(X6,X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inject_f) ).
cnf(inject_f_1,axiom,
ifeq2(f(X1,X2,X3,X4,X5),true,ifeq2(f(X6,X7,X8,X9,X5),true,equalish(X7,X2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inject_f_1) ).
cnf(inject_f_2,axiom,
ifeq2(f(X1,X2,X3,X4,X5),true,ifeq2(f(X6,X7,X8,X9,X5),true,equalish(X8,X3),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inject_f_2) ).
cnf(goal,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(ifeq_axiom_001,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
cnf(n0_not_n1,axiom,
ifeq(equalish(n1,n0),true,a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n0_not_n1) ).
cnf(n0_not_n1_1,axiom,
ifeq(equalish(n0,n1),true,a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n0_not_n1_1) ).
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,
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_39,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_40,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_41,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_42,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_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_49,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_50,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_51,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_52,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_53,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_54,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_55,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_56,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_57,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_58,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_59,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_38,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_60,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_38,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_61,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_39]),c_0_14]),
[final] ).
cnf(c_0_62,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_40,c_0_13]),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_41]),c_0_14]),
[final] ).
cnf(c_0_64,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_40,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_65,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_66,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_42]),c_0_14]),
[final] ).
cnf(c_0_67,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_68,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_69,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_70,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_71,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_72,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_73,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_74,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_75,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_76,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_77,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_78,negated_conjecture,
a != b,
goal,
[final] ).
cnf(c_0_79,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_49,c_0_31]),c_0_14]),
[final] ).
cnf(c_0_80,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_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,X3),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,true,true) = true,
inference(spm,[status(thm)],[c_0_51,c_0_52]),
[final] ).
cnf(c_0_83,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_49,c_0_31]),c_0_14]),
[final] ).
cnf(c_0_84,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_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(X3,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(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_87,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_49,c_0_32]),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,X2),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,X3),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,true,true) = true,
inference(spm,[status(thm)],[c_0_51,c_0_53]),
[final] ).
cnf(c_0_91,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_49,c_0_32]),c_0_14]),
[final] ).
cnf(c_0_92,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_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(X3,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(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_95,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_49,c_0_33]),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,X2),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(n1,X3),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,true,true) = true,
inference(spm,[status(thm)],[c_0_51,c_0_54]),
[final] ).
cnf(c_0_99,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_49,c_0_33]),c_0_14]),
[final] ).
cnf(c_0_100,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_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(X3,n1),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(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_103,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_49,c_0_34]),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,X2),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(n1,X3),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,true,true) = true,
inference(spm,[status(thm)],[c_0_51,c_0_55]),
[final] ).
cnf(c_0_107,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_49,c_0_34]),c_0_14]),
[final] ).
cnf(c_0_108,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_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(X3,n1),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(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_111,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_49,c_0_35]),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(n1,X2),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(n0,X3),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_51,c_0_56]),
[final] ).
cnf(c_0_115,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_49,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(X2,n1),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(X3,n0),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(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_119,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_49,c_0_36]),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(n1,X2),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(n0,X3),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,true,true) = true,
inference(spm,[status(thm)],[c_0_51,c_0_57]),
[final] ).
cnf(c_0_123,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_49,c_0_36]),c_0_14]),
[final] ).
cnf(c_0_124,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_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(X3,n0),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(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_127,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_49,c_0_37]),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(n1,X2),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,X3),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,true,true) = true,
inference(spm,[status(thm)],[c_0_51,c_0_58]),
[final] ).
cnf(c_0_131,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_49,c_0_37]),c_0_14]),
[final] ).
cnf(c_0_132,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_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(X3,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(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_135,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_49,c_0_39]),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(n1,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_39]),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,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_39]),c_0_14]),
[final] ).
cnf(c_0_138,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_59,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_139,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_59,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_140,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_60,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_141,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_60,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_142,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_51,c_0_61]),
[final] ).
cnf(c_0_143,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_49,c_0_39]),c_0_14]),
[final] ).
cnf(c_0_144,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_50,c_0_39]),c_0_14]),
[final] ).
cnf(c_0_145,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_51,c_0_39]),c_0_14]),
[final] ).
cnf(c_0_146,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_39]),c_0_14]),
[final] ).
cnf(c_0_147,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_49,c_0_41]),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(n0,X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_41]),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,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_41]),c_0_14]),
[final] ).
cnf(c_0_150,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_62,c_0_13]),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_51,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_49,c_0_41]),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_50,c_0_41]),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_51,c_0_41]),c_0_14]),
[final] ).
cnf(c_0_155,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_62,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_156,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_64,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_157,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_64,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_158,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_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,equalish(n1,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_42]),c_0_14]),
[final] ).
cnf(c_0_160,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_50,c_0_42]),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(n0,X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_42]),c_0_14]),
[final] ).
cnf(c_0_162,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_65,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_163,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_51,c_0_66]),
[final] ).
cnf(c_0_164,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_65,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_165,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_67,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_166,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_67,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_167,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_49,c_0_42]),c_0_14]),
[final] ).
cnf(c_0_168,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_50,c_0_42]),c_0_14]),
[final] ).
cnf(c_0_169,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_51,c_0_42]),c_0_14]),
[final] ).
cnf(c_0_170,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_42]),c_0_14]),
[final] ).
cnf(c_0_171,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_49,c_0_43]),c_0_14]),
[final] ).
cnf(c_0_172,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_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(n1,X3),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,true,true) = true,
inference(spm,[status(thm)],[c_0_51,c_0_68]),
[final] ).
cnf(c_0_175,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_49,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,n0)),true,equalish(X2,n0),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_43]),c_0_14]),
[final] ).
cnf(c_0_177,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_51,c_0_43]),c_0_14]),
[final] ).
cnf(c_0_178,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_179,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_49,c_0_44]),c_0_14]),
[final] ).
cnf(c_0_180,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_181,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_182,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_50,c_0_44]),c_0_14]),
[final] ).
cnf(c_0_183,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_184,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_185,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_51,c_0_44]),c_0_14]),
[final] ).
cnf(c_0_186,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_69,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_187,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_69,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_188,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_70,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_189,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_70,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_190,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_51,c_0_71]),
[final] ).
cnf(c_0_191,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_38,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_192,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_72,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_193,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_72,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_194,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_49,c_0_44]),c_0_14]),
[final] ).
cnf(c_0_195,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_50,c_0_44]),c_0_14]),
[final] ).
cnf(c_0_196,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_51,c_0_44]),c_0_14]),
[final] ).
cnf(c_0_197,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_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_73,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_199,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_38,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_200,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_73,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_201,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_202,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_203,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_40,c_0_13]),c_0_14]),
[final] ).
cnf(c_0_204,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_40,c_0_15]),c_0_14]),
[final] ).
cnf(c_0_205,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_206,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_207,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_49,c_0_45]),c_0_14]),
[final] ).
cnf(c_0_208,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_50,c_0_45]),c_0_14]),
[final] ).
cnf(c_0_209,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_51,c_0_45]),c_0_14]),
[final] ).
cnf(c_0_210,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_51,c_0_74]),
[final] ).
cnf(c_0_211,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_49,c_0_45]),c_0_14]),
[final] ).
cnf(c_0_212,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_50,c_0_45]),c_0_14]),
[final] ).
cnf(c_0_213,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_51,c_0_45]),c_0_14]),
[final] ).
cnf(c_0_214,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_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_49,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_50,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_51,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_51,c_0_75]),
[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_49,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_50,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_51,c_0_46]),c_0_14]),
[final] ).
cnf(c_0_222,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_223,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_49,c_0_47]),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,X2),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,X3),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,true,true) = true,
inference(spm,[status(thm)],[c_0_51,c_0_76]),
[final] ).
cnf(c_0_227,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_49,c_0_47]),c_0_14]),
[final] ).
cnf(c_0_228,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_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(X3,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(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_231,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_49,c_0_48]),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,X2),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,X3),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,true,true) = true,
inference(spm,[status(thm)],[c_0_51,c_0_77]),
[final] ).
cnf(c_0_235,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_49,c_0_48]),c_0_14]),
[final] ).
cnf(c_0_236,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_50,c_0_48]),c_0_14]),
[final] ).
cnf(c_0_237,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_238,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_239,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_240,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_241,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_51,c_0_48]),c_0_14]),
[final] ).
cnf(c_0_242,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_243,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_244,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_245,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_49,c_0_13]),
[final] ).
cnf(c_0_246,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_49,c_0_15]),
[final] ).
cnf(c_0_247,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_50,c_0_13]),
[final] ).
cnf(c_0_248,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_50,c_0_15]),
[final] ).
cnf(c_0_249,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_51,c_0_13]),
[final] ).
cnf(c_0_250,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_51,c_0_15]),
[final] ).
cnf(c_0_251,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_252,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_253,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom_001,
[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] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : MSC014-10 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.07/0.24 % Computer : n012.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Mon May 4 23:36:01 EDT 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.19/1.65 % Version : CSE_E---1.7
% 1.19/1.65 % Problem : theBenchmark.p
% 1.19/1.65 % SZS status Satisfiable for theBenchmark.p
% 1.19/1.65 % SZS output start Saturation
% See solution above
% 1.19/1.65 % Total time : 1.361s
%------------------------------------------------------------------------------