%------------------------------------------------------------------------------
% File : iProver-SAT---3.9.4
% Problem : MSC014-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% Computer : n014.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 : Fri Sep 25 02:14:17 PM UTC 2026
% Result : Satisfiable 3.90s 1.08s
% Output : Saturation 3.90s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f3,axiom,
equalish(n0,n0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n0_and_n1_reflexive_1) ).
fof(f4,axiom,
equalish(n1,n1) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n0_and_n1_reflexive) ).
fof(f5,plain,
true = equalish(n1,n1),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(X3,X2,X1,X0,sK1_exists_f_Z(X3,X2,X1,X0)),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_f) ).
fof(f7,plain,
! [X2,X3,X0,X1] : true = ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(X3,X2,X1,X0,sK1_exists_f_Z(X3,X2,X1,X0)),true),true),true),true),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : ifeq2(f(X0,X1,X2,X3,X4),true,ifeq2(f(X5,X6,X7,X8,X4),true,equalish(X8,X3),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inject_f_3) ).
fof(f9,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq2(f(X0,X1,X2,X3,X4),true,ifeq2(f(X5,X6,X7,X8,X4),true,equalish(X8,X3),true),true),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : ifeq2(f(X0,X1,X2,X3,X4),true,ifeq2(f(X5,X6,X7,X8,X4),true,equalish(X7,X2),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inject_f_2) ).
fof(f11,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq2(f(X0,X1,X2,X3,X4),true,ifeq2(f(X5,X6,X7,X8,X4),true,equalish(X7,X2),true),true),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : ifeq2(f(X0,X1,X2,X3,X4),true,ifeq2(f(X5,X6,X7,X8,X4),true,equalish(X6,X1),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inject_f_1) ).
fof(f13,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq2(f(X0,X1,X2,X3,X4),true,ifeq2(f(X5,X6,X7,X8,X4),true,equalish(X6,X1),true),true),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : ifeq2(f(X0,X1,X2,X3,X4),true,ifeq2(f(X5,X6,X7,X8,X4),true,equalish(X5,X0),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inject_f) ).
fof(f15,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq2(f(X0,X1,X2,X3,X4),true,ifeq2(f(X5,X6,X7,X8,X4),true,equalish(X5,X0),true),true),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
ifeq(equalish(n0,n1),true,a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n0_not_n1_1) ).
fof(f17,plain,
b = ifeq(equalish(n0,n1),true,a,b),
inference(reorient_equations,[],[f16]) ).
fof(f18,axiom,
ifeq(equalish(n1,n0),true,a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n0_not_n1) ).
fof(f19,plain,
b = ifeq(equalish(n1,n0),true,a,b),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_63,plain,
equalish(n0,n0) = true,
inference(cnf_transformation,[],[f3]) ).
tcf(c_64,plain,
equalish(n1,n1) = true,
inference(cnf_transformation,[],[f5]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(equalish(X3,X3),true,f(X3,X2,X1,X0,sK1_exists_f_Z(X3,X2,X1,X0)),true),true),true),true) = true,
inference(cnf_transformation,[],[f7]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : ifeq2(f(X0,X1,X2,X3,X4),true,ifeq2(f(X5,X6,X7,X8,X4),true,equalish(X8,X3),true),true) = true,
inference(cnf_transformation,[],[f9]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : ifeq2(f(X0,X1,X2,X3,X4),true,ifeq2(f(X5,X6,X7,X8,X4),true,equalish(X7,X2),true),true) = true,
inference(cnf_transformation,[],[f11]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : ifeq2(f(X0,X1,X2,X3,X4),true,ifeq2(f(X5,X6,X7,X8,X4),true,equalish(X6,X1),true),true) = true,
inference(cnf_transformation,[],[f13]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : ifeq2(f(X0,X1,X2,X3,X4),true,ifeq2(f(X5,X6,X7,X8,X4),true,equalish(X5,X0),true),true) = true,
inference(cnf_transformation,[],[f15]) ).
tcf(c_70,plain,
ifeq(equalish(n0,n1),true,a,b) = b,
inference(cnf_transformation,[],[f17]) ).
tcf(c_71,plain,
ifeq(equalish(n1,n0),true,a,b) = b,
inference(cnf_transformation,[],[f19]) ).
tcf(c_72,negated_conjecture,
a != b,
inference(cnf_transformation,[],[f20]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ifeq2(f(X0,X1,X2,n0,X3),true,ifeq2(f(X4,X5,X6,n0,X3),true,true,true),true) = true,
inference(superposition,[status(thm)],[c_63,c_66]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ifeq2(f(X0,X1,X2,n1,X3),true,ifeq2(f(X4,X5,X6,n1,X3),true,true,true),true) = true,
inference(superposition,[status(thm)],[c_64,c_66]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ifeq2(f(X0,X1,n0,X2,X3),true,ifeq2(f(X4,X5,n0,X6,X3),true,true,true),true) = true,
inference(superposition,[status(thm)],[c_63,c_67]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ifeq2(f(X0,X1,n1,X2,X3),true,ifeq2(f(X4,X5,n1,X6,X3),true,true,true),true) = true,
inference(superposition,[status(thm)],[c_64,c_67]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ifeq2(f(X0,n0,X1,X2,X3),true,ifeq2(f(X4,n0,X5,X6,X3),true,true,true),true) = true,
inference(superposition,[status(thm)],[c_63,c_68]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ifeq2(f(X0,n1,X1,X2,X3),true,ifeq2(f(X4,n1,X5,X6,X3),true,true,true),true) = true,
inference(superposition,[status(thm)],[c_64,c_68]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ifeq2(f(n0,X0,X1,X2,X3),true,ifeq2(f(n0,X4,X5,X6,X3),true,true,true),true) = true,
inference(superposition,[status(thm)],[c_63,c_69]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ifeq2(f(n1,X0,X1,X2,X3),true,ifeq2(f(n1,X4,X5,X6,X3),true,true,true),true) = true,
inference(superposition,[status(thm)],[c_64,c_69]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(true,true,ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,X0,n0,sK1_exists_f_Z(X2,X1,X0,n0)),true),true),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_65]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(true,true,ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,X0,n1,sK1_exists_f_Z(X2,X1,X0,n1)),true),true),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_65]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,n0,X0,sK1_exists_f_Z(X2,X1,n0,X0)),true),true),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_65]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,n1,X0,sK1_exists_f_Z(X2,X1,n1,X0)),true),true),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_65]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,ifeq2(equalish(X2,X2),true,f(X2,n0,X1,X0,sK1_exists_f_Z(X2,n0,X1,X0)),true),true),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_65]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,ifeq2(equalish(X2,X2),true,f(X2,n1,X1,X0,sK1_exists_f_Z(X2,n1,X1,X0)),true),true),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_65]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(true,true,f(n0,X2,X1,X0,sK1_exists_f_Z(n0,X2,X1,X0)),true),true),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_65]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,ifeq2(true,true,f(n1,X2,X1,X0,sK1_exists_f_Z(n1,X2,X1,X0)),true),true),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_65]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,X0,n0,sK1_exists_f_Z(X2,X1,X0,n0)),true),true),true) = true,
inference(demodulation,[status(thm)],[c_97,c_61]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] : ifeq2(true,true,ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,X0,n0,n0,sK1_exists_f_Z(X1,X0,n0,n0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_113]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] : ifeq2(true,true,ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,X0,n1,n0,sK1_exists_f_Z(X1,X0,n1,n0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_113]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,f(X1,n0,X0,n0,sK1_exists_f_Z(X1,n0,X0,n0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_113]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,f(X1,n1,X0,n0,sK1_exists_f_Z(X1,n1,X0,n0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_113]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n0,X1,X0,n0,sK1_exists_f_Z(n0,X1,X0,n0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_113]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n1,X1,X0,n0,sK1_exists_f_Z(n1,X1,X0,n0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_113]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,X0,n0,n0,sK1_exists_f_Z(X1,X0,n0,n0)),true),true) = true,
inference(demodulation,[status(thm)],[c_114,c_61]) ).
tcf(c_124,plain,
! [X0: $i] : ifeq2(true,true,ifeq2(equalish(X0,X0),true,f(X0,n0,n0,n0,sK1_exists_f_Z(X0,n0,n0,n0)),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_123]) ).
tcf(c_125,plain,
! [X0: $i] : ifeq2(true,true,ifeq2(equalish(X0,X0),true,f(X0,n1,n0,n0,sK1_exists_f_Z(X0,n1,n0,n0)),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_123]) ).
tcf(c_126,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,X0,n0,n0,sK1_exists_f_Z(n0,X0,n0,n0)),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_123]) ).
tcf(c_127,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,X0,n0,n0,sK1_exists_f_Z(n1,X0,n0,n0)),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_123]) ).
tcf(c_132,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(X0,n0,n0,n0,sK1_exists_f_Z(X0,n0,n0,n0)),true) = true,
inference(demodulation,[status(thm)],[c_124,c_61]) ).
tcf(c_133,plain,
ifeq2(true,true,f(n0,n0,n0,n0,sK1_exists_f_Z(n0,n0,n0,n0)),true) = true,
inference(superposition,[status(thm)],[c_63,c_132]) ).
tcf(c_134,plain,
ifeq2(true,true,f(n1,n0,n0,n0,sK1_exists_f_Z(n1,n0,n0,n0)),true) = true,
inference(superposition,[status(thm)],[c_64,c_132]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,X0,n1,sK1_exists_f_Z(X2,X1,X0,n1)),true),true),true) = true,
inference(demodulation,[status(thm)],[c_98,c_61]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i] : ifeq2(true,true,ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,X0,n0,n1,sK1_exists_f_Z(X1,X0,n0,n1)),true),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_140]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] : ifeq2(true,true,ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,X0,n1,n1,sK1_exists_f_Z(X1,X0,n1,n1)),true),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_140]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,f(X1,n0,X0,n1,sK1_exists_f_Z(X1,n0,X0,n1)),true),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_140]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,f(X1,n1,X0,n1,sK1_exists_f_Z(X1,n1,X0,n1)),true),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_140]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n0,X1,X0,n1,sK1_exists_f_Z(n0,X1,X0,n1)),true),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_140]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n1,X1,X0,n1,sK1_exists_f_Z(n1,X1,X0,n1)),true),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_140]) ).
tcf(c_149,plain,
f(n0,n0,n0,n0,sK1_exists_f_Z(n0,n0,n0,n0)) = true,
inference(demodulation,[status(thm)],[c_133,c_61]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X0,n0),true),true) = true,
inference(superposition,[status(thm)],[c_149,c_69]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X1,n0),true),true) = true,
inference(superposition,[status(thm)],[c_149,c_68]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X2,n0),true),true) = true,
inference(superposition,[status(thm)],[c_149,c_67]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X3,n0),true),true) = true,
inference(superposition,[status(thm)],[c_149,c_66]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,ifeq2(true,true,equalish(n0,X0),true),true) = true,
inference(superposition,[status(thm)],[c_149,c_69]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,ifeq2(true,true,equalish(n0,X1),true),true) = true,
inference(superposition,[status(thm)],[c_149,c_68]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,ifeq2(true,true,equalish(n0,X2),true),true) = true,
inference(superposition,[status(thm)],[c_149,c_67]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,ifeq2(true,true,equalish(n0,X3),true),true) = true,
inference(superposition,[status(thm)],[c_149,c_66]) ).
tcf(c_171,plain,
f(n1,n0,n0,n0,sK1_exists_f_Z(n1,n0,n0,n0)) = true,
inference(demodulation,[status(thm)],[c_134,c_61]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X0,n1),true),true) = true,
inference(superposition,[status(thm)],[c_171,c_69]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X1,n0),true),true) = true,
inference(superposition,[status(thm)],[c_171,c_68]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X2,n0),true),true) = true,
inference(superposition,[status(thm)],[c_171,c_67]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X3,n0),true),true) = true,
inference(superposition,[status(thm)],[c_171,c_66]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,ifeq2(true,true,equalish(n1,X0),true),true) = true,
inference(superposition,[status(thm)],[c_171,c_69]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,ifeq2(true,true,equalish(n0,X1),true),true) = true,
inference(superposition,[status(thm)],[c_171,c_68]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,ifeq2(true,true,equalish(n0,X2),true),true) = true,
inference(superposition,[status(thm)],[c_171,c_67]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,ifeq2(true,true,equalish(n0,X3),true),true) = true,
inference(superposition,[status(thm)],[c_171,c_66]) ).
tcf(c_196,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(X0,n1,n0,n0,sK1_exists_f_Z(X0,n1,n0,n0)),true) = true,
inference(demodulation,[status(thm)],[c_125,c_61]) ).
tcf(c_197,plain,
ifeq2(true,true,f(n0,n1,n0,n0,sK1_exists_f_Z(n0,n1,n0,n0)),true) = true,
inference(superposition,[status(thm)],[c_63,c_196]) ).
tcf(c_198,plain,
ifeq2(true,true,f(n1,n1,n0,n0,sK1_exists_f_Z(n1,n1,n0,n0)),true) = true,
inference(superposition,[status(thm)],[c_64,c_196]) ).
tcf(c_202,plain,
f(n0,n1,n0,n0,sK1_exists_f_Z(n0,n1,n0,n0)) = true,
inference(demodulation,[status(thm)],[c_197,c_61]) ).
tcf(c_204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X0,n0),true),true) = true,
inference(superposition,[status(thm)],[c_202,c_69]) ).
tcf(c_205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X1,n1),true),true) = true,
inference(superposition,[status(thm)],[c_202,c_68]) ).
tcf(c_206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X2,n0),true),true) = true,
inference(superposition,[status(thm)],[c_202,c_67]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X3,n0),true),true) = true,
inference(superposition,[status(thm)],[c_202,c_66]) ).
tcf(c_208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,ifeq2(true,true,equalish(n0,X0),true),true) = true,
inference(superposition,[status(thm)],[c_202,c_69]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,ifeq2(true,true,equalish(n1,X1),true),true) = true,
inference(superposition,[status(thm)],[c_202,c_68]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,ifeq2(true,true,equalish(n0,X2),true),true) = true,
inference(superposition,[status(thm)],[c_202,c_67]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,ifeq2(true,true,equalish(n0,X3),true),true) = true,
inference(superposition,[status(thm)],[c_202,c_66]) ).
tcf(c_226,plain,
f(n1,n1,n0,n0,sK1_exists_f_Z(n1,n1,n0,n0)) = true,
inference(demodulation,[status(thm)],[c_198,c_61]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X0,n1),true),true) = true,
inference(superposition,[status(thm)],[c_226,c_69]) ).
tcf(c_229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X1,n1),true),true) = true,
inference(superposition,[status(thm)],[c_226,c_68]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X2,n0),true),true) = true,
inference(superposition,[status(thm)],[c_226,c_67]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X3,n0),true),true) = true,
inference(superposition,[status(thm)],[c_226,c_66]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,ifeq2(true,true,equalish(n1,X0),true),true) = true,
inference(superposition,[status(thm)],[c_226,c_69]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,ifeq2(true,true,equalish(n1,X1),true),true) = true,
inference(superposition,[status(thm)],[c_226,c_68]) ).
tcf(c_234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,ifeq2(true,true,equalish(n0,X2),true),true) = true,
inference(superposition,[status(thm)],[c_226,c_67]) ).
tcf(c_235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,ifeq2(true,true,equalish(n0,X3),true),true) = true,
inference(superposition,[status(thm)],[c_226,c_66]) ).
tcf(c_323,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,n0,X0,sK1_exists_f_Z(X2,X1,n0,X0)),true),true),true) = true,
inference(demodulation,[status(thm)],[c_99,c_61]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,f(X1,n0,n0,X0,sK1_exists_f_Z(X1,n0,n0,X0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_323]) ).
tcf(c_328,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,f(X1,n1,n0,X0,sK1_exists_f_Z(X1,n1,n0,X0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_323]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n0,X1,n0,X0,sK1_exists_f_Z(n0,X1,n0,X0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_323]) ).
tcf(c_332,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n1,X1,n0,X0,sK1_exists_f_Z(n1,X1,n0,X0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_323]) ).
tcf(c_339,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n0,X0,n0,n0,sK1_exists_f_Z(n0,X0,n0,n0)),true) = true,
inference(demodulation,[status(thm)],[c_126,c_61]) ).
tcf(c_349,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n1,X0,n0,n0,sK1_exists_f_Z(n1,X0,n0,n0)),true) = true,
inference(demodulation,[status(thm)],[c_127,c_61]) ).
tcf(c_359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X0,n0),true) = true,
inference(demodulation,[status(thm)],[c_151,c_61]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X1,n0),true) = true,
inference(demodulation,[status(thm)],[c_152,c_61]) ).
tcf(c_443,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,X1,n1,X0,sK1_exists_f_Z(X2,X1,n1,X0)),true),true),true) = true,
inference(demodulation,[status(thm)],[c_100,c_61]) ).
tcf(c_446,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,f(X1,n0,n1,X0,sK1_exists_f_Z(X1,n0,n1,X0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_443]) ).
tcf(c_447,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,ifeq2(equalish(X1,X1),true,f(X1,n1,n1,X0,sK1_exists_f_Z(X1,n1,n1,X0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_443]) ).
tcf(c_448,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n0,X1,n1,X0,sK1_exists_f_Z(n0,X1,n1,X0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_443]) ).
tcf(c_449,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n1,X1,n1,X0,sK1_exists_f_Z(n1,X1,n1,X0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_443]) ).
tcf(c_451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X2,n0),true) = true,
inference(demodulation,[status(thm)],[c_153,c_61]) ).
tcf(c_458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(X3,n0),true) = true,
inference(demodulation,[status(thm)],[c_154,c_61]) ).
tcf(c_466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(n0,X0),true) = true,
inference(demodulation,[status(thm)],[c_155,c_61]) ).
tcf(c_469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,true,true) = true,
inference(superposition,[status(thm)],[c_466,c_66]) ).
tcf(c_537,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n0,X1,X0,sK1_exists_f_Z(X2,n0,X1,X0)),true),true),true) = true,
inference(demodulation,[status(thm)],[c_101,c_61]) ).
tcf(c_545,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n0,n0,X1,X0,sK1_exists_f_Z(n0,n0,X1,X0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_537]) ).
tcf(c_546,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n1,n0,X1,X0,sK1_exists_f_Z(n1,n0,X1,X0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_537]) ).
tcf(c_550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(n0,X1),true) = true,
inference(demodulation,[status(thm)],[c_156,c_61]) ).
tcf(c_557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(n0,X2),true) = true,
inference(demodulation,[status(thm)],[c_157,c_61]) ).
tcf(c_564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n0)),true,equalish(n0,X3),true) = true,
inference(demodulation,[status(thm)],[c_158,c_61]) ).
tcf(c_572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X0,n1),true) = true,
inference(demodulation,[status(thm)],[c_173,c_61]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(X2,n1,X1,X0,sK1_exists_f_Z(X2,n1,X1,X0)),true),true),true) = true,
inference(demodulation,[status(thm)],[c_102,c_61]) ).
tcf(c_642,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n0,n1,X1,X0,sK1_exists_f_Z(n0,n1,X1,X0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_635]) ).
tcf(c_643,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(true,true,f(n1,n1,X1,X0,sK1_exists_f_Z(n1,n1,X1,X0)),true),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_635]) ).
tcf(c_648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X1,n0),true) = true,
inference(demodulation,[status(thm)],[c_174,c_61]) ).
tcf(c_655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X2,n0),true) = true,
inference(demodulation,[status(thm)],[c_175,c_61]) ).
tcf(c_662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(X3,n0),true) = true,
inference(demodulation,[status(thm)],[c_176,c_61]) ).
tcf(c_670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(n1,X0),true) = true,
inference(demodulation,[status(thm)],[c_177,c_61]) ).
tcf(c_673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,true,true) = true,
inference(superposition,[status(thm)],[c_670,c_66]) ).
tcf(c_753,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n0,X2,X1,X0,sK1_exists_f_Z(n0,X2,X1,X0)),true),true),true) = true,
inference(demodulation,[status(thm)],[c_103,c_61]) ).
tcf(c_767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(n0,X1),true) = true,
inference(demodulation,[status(thm)],[c_178,c_61]) ).
tcf(c_774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(n0,X2),true) = true,
inference(demodulation,[status(thm)],[c_179,c_61]) ).
tcf(c_781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n0)),true,equalish(n0,X3),true) = true,
inference(demodulation,[status(thm)],[c_180,c_61]) ).
tcf(c_789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X0,n0),true) = true,
inference(demodulation,[status(thm)],[c_204,c_61]) ).
tcf(c_801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X1,n1),true) = true,
inference(demodulation,[status(thm)],[c_205,c_61]) ).
tcf(c_808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X2,n0),true) = true,
inference(demodulation,[status(thm)],[c_206,c_61]) ).
tcf(c_815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(X3,n0),true) = true,
inference(demodulation,[status(thm)],[c_207,c_61]) ).
tcf(c_823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(n0,X0),true) = true,
inference(demodulation,[status(thm)],[c_208,c_61]) ).
tcf(c_826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,true,true) = true,
inference(superposition,[status(thm)],[c_823,c_66]) ).
tcf(c_841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(n1,X1),true) = true,
inference(demodulation,[status(thm)],[c_209,c_61]) ).
tcf(c_848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(n0,X2),true) = true,
inference(demodulation,[status(thm)],[c_210,c_61]) ).
tcf(c_855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n0)),true,equalish(n0,X3),true) = true,
inference(demodulation,[status(thm)],[c_211,c_61]) ).
tcf(c_863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X0,n1),true) = true,
inference(demodulation,[status(thm)],[c_228,c_61]) ).
tcf(c_871,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,ifeq2(equalish(X2,X2),true,f(n1,X2,X1,X0,sK1_exists_f_Z(n1,X2,X1,X0)),true),true),true) = true,
inference(demodulation,[status(thm)],[c_104,c_61]) ).
tcf(c_883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X1,n1),true) = true,
inference(demodulation,[status(thm)],[c_229,c_61]) ).
tcf(c_891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X2,n0),true) = true,
inference(demodulation,[status(thm)],[c_230,c_61]) ).
tcf(c_898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(X3,n0),true) = true,
inference(demodulation,[status(thm)],[c_231,c_61]) ).
tcf(c_906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(n1,X0),true) = true,
inference(demodulation,[status(thm)],[c_232,c_61]) ).
tcf(c_909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,true,true) = true,
inference(superposition,[status(thm)],[c_906,c_66]) ).
tcf(c_923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(n1,X1),true) = true,
inference(demodulation,[status(thm)],[c_233,c_61]) ).
tcf(c_931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(n0,X2),true) = true,
inference(demodulation,[status(thm)],[c_234,c_61]) ).
tcf(c_938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n0)),true,equalish(n0,X3),true) = true,
inference(demodulation,[status(thm)],[c_235,c_61]) ).
tcf(c_946,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,X0,n1,n0,sK1_exists_f_Z(X1,X0,n1,n0)),true),true) = true,
inference(demodulation,[status(thm)],[c_115,c_61]) ).
tcf(c_947,plain,
! [X0: $i] : ifeq2(true,true,ifeq2(equalish(X0,X0),true,f(X0,n0,n1,n0,sK1_exists_f_Z(X0,n0,n1,n0)),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_946]) ).
tcf(c_948,plain,
! [X0: $i] : ifeq2(true,true,ifeq2(equalish(X0,X0),true,f(X0,n1,n1,n0,sK1_exists_f_Z(X0,n1,n1,n0)),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_946]) ).
tcf(c_949,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,X0,n1,n0,sK1_exists_f_Z(n0,X0,n1,n0)),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_946]) ).
tcf(c_950,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,X0,n1,n0,sK1_exists_f_Z(n1,X0,n1,n0)),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_946]) ).
tcf(c_957,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(X0,n0,n1,n0,sK1_exists_f_Z(X0,n0,n1,n0)),true) = true,
inference(demodulation,[status(thm)],[c_947,c_61]) ).
tcf(c_958,plain,
ifeq2(true,true,f(n0,n0,n1,n0,sK1_exists_f_Z(n0,n0,n1,n0)),true) = true,
inference(superposition,[status(thm)],[c_63,c_957]) ).
tcf(c_959,plain,
ifeq2(true,true,f(n1,n0,n1,n0,sK1_exists_f_Z(n1,n0,n1,n0)),true) = true,
inference(superposition,[status(thm)],[c_64,c_957]) ).
tcf(c_966,plain,
f(n0,n0,n1,n0,sK1_exists_f_Z(n0,n0,n1,n0)) = true,
inference(demodulation,[status(thm)],[c_958,c_61]) ).
tcf(c_968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X0,n0),true),true) = true,
inference(superposition,[status(thm)],[c_966,c_69]) ).
tcf(c_969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X1,n0),true),true) = true,
inference(superposition,[status(thm)],[c_966,c_68]) ).
tcf(c_970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X2,n1),true),true) = true,
inference(superposition,[status(thm)],[c_966,c_67]) ).
tcf(c_971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X3,n0),true),true) = true,
inference(superposition,[status(thm)],[c_966,c_66]) ).
tcf(c_972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,ifeq2(true,true,equalish(n0,X0),true),true) = true,
inference(superposition,[status(thm)],[c_966,c_69]) ).
tcf(c_973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,ifeq2(true,true,equalish(n0,X1),true),true) = true,
inference(superposition,[status(thm)],[c_966,c_68]) ).
tcf(c_974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,ifeq2(true,true,equalish(n1,X2),true),true) = true,
inference(superposition,[status(thm)],[c_966,c_67]) ).
tcf(c_975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,ifeq2(true,true,equalish(n0,X3),true),true) = true,
inference(superposition,[status(thm)],[c_966,c_66]) ).
tcf(c_992,plain,
f(n1,n0,n1,n0,sK1_exists_f_Z(n1,n0,n1,n0)) = true,
inference(demodulation,[status(thm)],[c_959,c_61]) ).
tcf(c_994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X0,n1),true),true) = true,
inference(superposition,[status(thm)],[c_992,c_69]) ).
tcf(c_995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X1,n0),true),true) = true,
inference(superposition,[status(thm)],[c_992,c_68]) ).
tcf(c_996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X2,n1),true),true) = true,
inference(superposition,[status(thm)],[c_992,c_67]) ).
tcf(c_997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X3,n0),true),true) = true,
inference(superposition,[status(thm)],[c_992,c_66]) ).
tcf(c_998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,ifeq2(true,true,equalish(n1,X0),true),true) = true,
inference(superposition,[status(thm)],[c_992,c_69]) ).
tcf(c_999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,ifeq2(true,true,equalish(n0,X1),true),true) = true,
inference(superposition,[status(thm)],[c_992,c_68]) ).
tcf(c_1000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,ifeq2(true,true,equalish(n1,X2),true),true) = true,
inference(superposition,[status(thm)],[c_992,c_67]) ).
tcf(c_1001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,ifeq2(true,true,equalish(n0,X3),true),true) = true,
inference(superposition,[status(thm)],[c_992,c_66]) ).
tcf(c_1059,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,n0,X0,n0,sK1_exists_f_Z(X1,n0,X0,n0)),true),true) = true,
inference(demodulation,[status(thm)],[c_116,c_61]) ).
tcf(c_1065,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,n0,X0,n0,sK1_exists_f_Z(n0,n0,X0,n0)),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_1059]) ).
tcf(c_1066,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,n0,X0,n0,sK1_exists_f_Z(n1,n0,X0,n0)),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_1059]) ).
tcf(c_1077,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(X0,n1,n1,n0,sK1_exists_f_Z(X0,n1,n1,n0)),true) = true,
inference(demodulation,[status(thm)],[c_948,c_61]) ).
tcf(c_1078,plain,
ifeq2(true,true,f(n0,n1,n1,n0,sK1_exists_f_Z(n0,n1,n1,n0)),true) = true,
inference(superposition,[status(thm)],[c_63,c_1077]) ).
tcf(c_1079,plain,
ifeq2(true,true,f(n1,n1,n1,n0,sK1_exists_f_Z(n1,n1,n1,n0)),true) = true,
inference(superposition,[status(thm)],[c_64,c_1077]) ).
tcf(c_1086,plain,
f(n0,n1,n1,n0,sK1_exists_f_Z(n0,n1,n1,n0)) = true,
inference(demodulation,[status(thm)],[c_1078,c_61]) ).
tcf(c_1088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X0,n0),true),true) = true,
inference(superposition,[status(thm)],[c_1086,c_69]) ).
tcf(c_1089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X1,n1),true),true) = true,
inference(superposition,[status(thm)],[c_1086,c_68]) ).
tcf(c_1090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X2,n1),true),true) = true,
inference(superposition,[status(thm)],[c_1086,c_67]) ).
tcf(c_1091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X3,n0),true),true) = true,
inference(superposition,[status(thm)],[c_1086,c_66]) ).
tcf(c_1092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,ifeq2(true,true,equalish(n0,X0),true),true) = true,
inference(superposition,[status(thm)],[c_1086,c_69]) ).
tcf(c_1093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,ifeq2(true,true,equalish(n1,X1),true),true) = true,
inference(superposition,[status(thm)],[c_1086,c_68]) ).
tcf(c_1094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,ifeq2(true,true,equalish(n1,X2),true),true) = true,
inference(superposition,[status(thm)],[c_1086,c_67]) ).
tcf(c_1095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,ifeq2(true,true,equalish(n0,X3),true),true) = true,
inference(superposition,[status(thm)],[c_1086,c_66]) ).
tcf(c_1116,plain,
f(n1,n1,n1,n0,sK1_exists_f_Z(n1,n1,n1,n0)) = true,
inference(demodulation,[status(thm)],[c_1079,c_61]) ).
tcf(c_1118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X0,n1),true),true) = true,
inference(superposition,[status(thm)],[c_1116,c_69]) ).
tcf(c_1119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X1,n1),true),true) = true,
inference(superposition,[status(thm)],[c_1116,c_68]) ).
tcf(c_1120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X2,n1),true),true) = true,
inference(superposition,[status(thm)],[c_1116,c_67]) ).
tcf(c_1121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X3,n0),true),true) = true,
inference(superposition,[status(thm)],[c_1116,c_66]) ).
tcf(c_1122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,ifeq2(true,true,equalish(n1,X0),true),true) = true,
inference(superposition,[status(thm)],[c_1116,c_69]) ).
tcf(c_1123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,ifeq2(true,true,equalish(n1,X1),true),true) = true,
inference(superposition,[status(thm)],[c_1116,c_68]) ).
tcf(c_1124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,ifeq2(true,true,equalish(n1,X2),true),true) = true,
inference(superposition,[status(thm)],[c_1116,c_67]) ).
tcf(c_1125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,ifeq2(true,true,equalish(n0,X3),true),true) = true,
inference(superposition,[status(thm)],[c_1116,c_66]) ).
tcf(c_1159,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n0,X0,n1,n0,sK1_exists_f_Z(n0,X0,n1,n0)),true) = true,
inference(demodulation,[status(thm)],[c_949,c_61]) ).
tcf(c_1225,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,n1,X0,n0,sK1_exists_f_Z(X1,n1,X0,n0)),true),true) = true,
inference(demodulation,[status(thm)],[c_117,c_61]) ).
tcf(c_1231,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,n1,X0,n0,sK1_exists_f_Z(n0,n1,X0,n0)),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_1225]) ).
tcf(c_1232,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,n1,X0,n0,sK1_exists_f_Z(n1,n1,X0,n0)),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_1225]) ).
tcf(c_1243,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n1,X0,n1,n0,sK1_exists_f_Z(n1,X0,n1,n0)),true) = true,
inference(demodulation,[status(thm)],[c_950,c_61]) ).
tcf(c_1256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X0,n0),true) = true,
inference(demodulation,[status(thm)],[c_968,c_61]) ).
tcf(c_1263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X1,n0),true) = true,
inference(demodulation,[status(thm)],[c_969,c_61]) ).
tcf(c_1271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X2,n1),true) = true,
inference(demodulation,[status(thm)],[c_970,c_61]) ).
tcf(c_1345,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n0,X1,X0,n0,sK1_exists_f_Z(n0,X1,X0,n0)),true),true) = true,
inference(demodulation,[status(thm)],[c_118,c_61]) ).
tcf(c_1365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(X3,n0),true) = true,
inference(demodulation,[status(thm)],[c_971,c_61]) ).
tcf(c_1373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(n0,X0),true) = true,
inference(demodulation,[status(thm)],[c_972,c_61]) ).
tcf(c_1376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,true,true) = true,
inference(superposition,[status(thm)],[c_1373,c_66]) ).
tcf(c_1390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(n0,X1),true) = true,
inference(demodulation,[status(thm)],[c_973,c_61]) ).
tcf(c_1473,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n1,X1,X0,n0,sK1_exists_f_Z(n1,X1,X0,n0)),true),true) = true,
inference(demodulation,[status(thm)],[c_119,c_61]) ).
tcf(c_1494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(n1,X2),true) = true,
inference(demodulation,[status(thm)],[c_974,c_61]) ).
tcf(c_1501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n0)),true,equalish(n0,X3),true) = true,
inference(demodulation,[status(thm)],[c_975,c_61]) ).
tcf(c_1509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X0,n1),true) = true,
inference(demodulation,[status(thm)],[c_994,c_61]) ).
tcf(c_1517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X1,n0),true) = true,
inference(demodulation,[status(thm)],[c_995,c_61]) ).
tcf(c_1593,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,X0,n0,n1,sK1_exists_f_Z(X1,X0,n0,n1)),true),true) = true,
inference(demodulation,[status(thm)],[c_141,c_61]) ).
tcf(c_1594,plain,
! [X0: $i] : ifeq2(true,true,ifeq2(equalish(X0,X0),true,f(X0,n0,n0,n1,sK1_exists_f_Z(X0,n0,n0,n1)),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_1593]) ).
tcf(c_1595,plain,
! [X0: $i] : ifeq2(true,true,ifeq2(equalish(X0,X0),true,f(X0,n1,n0,n1,sK1_exists_f_Z(X0,n1,n0,n1)),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_1593]) ).
tcf(c_1596,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,X0,n0,n1,sK1_exists_f_Z(n0,X0,n0,n1)),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_1593]) ).
tcf(c_1597,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,X0,n0,n1,sK1_exists_f_Z(n1,X0,n0,n1)),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_1593]) ).
tcf(c_1603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X2,n1),true) = true,
inference(demodulation,[status(thm)],[c_996,c_61]) ).
tcf(c_1610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(X3,n0),true) = true,
inference(demodulation,[status(thm)],[c_997,c_61]) ).
tcf(c_1618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(n1,X0),true) = true,
inference(demodulation,[status(thm)],[c_998,c_61]) ).
tcf(c_1621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,true,true) = true,
inference(superposition,[status(thm)],[c_1618,c_66]) ).
tcf(c_1654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(n0,X1),true) = true,
inference(demodulation,[status(thm)],[c_999,c_61]) ).
tcf(c_1661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(n1,X2),true) = true,
inference(demodulation,[status(thm)],[c_1000,c_61]) ).
tcf(c_1668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n0)),true,equalish(n0,X3),true) = true,
inference(demodulation,[status(thm)],[c_1001,c_61]) ).
tcf(c_1676,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n0,n0,X0,n0,sK1_exists_f_Z(n0,n0,X0,n0)),true) = true,
inference(demodulation,[status(thm)],[c_1065,c_61]) ).
tcf(c_1690,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,X0,n1,n1,sK1_exists_f_Z(X1,X0,n1,n1)),true),true) = true,
inference(demodulation,[status(thm)],[c_142,c_61]) ).
tcf(c_1691,plain,
! [X0: $i] : ifeq2(true,true,ifeq2(equalish(X0,X0),true,f(X0,n0,n1,n1,sK1_exists_f_Z(X0,n0,n1,n1)),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_1690]) ).
tcf(c_1692,plain,
! [X0: $i] : ifeq2(true,true,ifeq2(equalish(X0,X0),true,f(X0,n1,n1,n1,sK1_exists_f_Z(X0,n1,n1,n1)),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_1690]) ).
tcf(c_1693,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,X0,n1,n1,sK1_exists_f_Z(n0,X0,n1,n1)),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_1690]) ).
tcf(c_1694,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,X0,n1,n1,sK1_exists_f_Z(n1,X0,n1,n1)),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_1690]) ).
tcf(c_1701,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n1,n0,X0,n0,sK1_exists_f_Z(n1,n0,X0,n0)),true) = true,
inference(demodulation,[status(thm)],[c_1066,c_61]) ).
tcf(c_1715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X0,n0),true) = true,
inference(demodulation,[status(thm)],[c_1088,c_61]) ).
tcf(c_1723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X1,n1),true) = true,
inference(demodulation,[status(thm)],[c_1089,c_61]) ).
tcf(c_1730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X2,n1),true) = true,
inference(demodulation,[status(thm)],[c_1090,c_61]) ).
tcf(c_1737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(X3,n0),true) = true,
inference(demodulation,[status(thm)],[c_1091,c_61]) ).
tcf(c_1745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(n0,X0),true) = true,
inference(demodulation,[status(thm)],[c_1092,c_61]) ).
tcf(c_1748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,true,true) = true,
inference(superposition,[status(thm)],[c_1745,c_66]) ).
tcf(c_1763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(n1,X1),true) = true,
inference(demodulation,[status(thm)],[c_1093,c_61]) ).
tcf(c_1770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(n1,X2),true) = true,
inference(demodulation,[status(thm)],[c_1094,c_61]) ).
tcf(c_1777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n0)),true,equalish(n0,X3),true) = true,
inference(demodulation,[status(thm)],[c_1095,c_61]) ).
tcf(c_1785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X0,n1),true) = true,
inference(demodulation,[status(thm)],[c_1118,c_61]) ).
tcf(c_1792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X1,n1),true) = true,
inference(demodulation,[status(thm)],[c_1119,c_61]) ).
tcf(c_1799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X2,n1),true) = true,
inference(demodulation,[status(thm)],[c_1120,c_61]) ).
tcf(c_1807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(X3,n0),true) = true,
inference(demodulation,[status(thm)],[c_1121,c_61]) ).
tcf(c_1815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(n1,X0),true) = true,
inference(demodulation,[status(thm)],[c_1122,c_61]) ).
tcf(c_1818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,true,true) = true,
inference(superposition,[status(thm)],[c_1815,c_66]) ).
tcf(c_1833,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,n0,X0,n1,sK1_exists_f_Z(X1,n0,X0,n1)),true),true) = true,
inference(demodulation,[status(thm)],[c_143,c_61]) ).
tcf(c_1836,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,n0,X0,n1,sK1_exists_f_Z(n0,n0,X0,n1)),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_1833]) ).
tcf(c_1837,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,n0,X0,n1,sK1_exists_f_Z(n1,n0,X0,n1)),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_1833]) ).
tcf(c_1843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(n1,X1),true) = true,
inference(demodulation,[status(thm)],[c_1123,c_61]) ).
tcf(c_1850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(n1,X2),true) = true,
inference(demodulation,[status(thm)],[c_1124,c_61]) ).
tcf(c_1858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n0)),true,equalish(n0,X3),true) = true,
inference(demodulation,[status(thm)],[c_1125,c_61]) ).
tcf(c_1866,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n0,n1,X0,n0,sK1_exists_f_Z(n0,n1,X0,n0)),true) = true,
inference(demodulation,[status(thm)],[c_1231,c_61]) ).
tcf(c_1880,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n1,n1,X0,n0,sK1_exists_f_Z(n1,n1,X0,n0)),true) = true,
inference(demodulation,[status(thm)],[c_1232,c_61]) ).
tcf(c_1894,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(X0,n0,n0,n1,sK1_exists_f_Z(X0,n0,n0,n1)),true) = true,
inference(demodulation,[status(thm)],[c_1594,c_61]) ).
tcf(c_1895,plain,
ifeq2(true,true,f(n0,n0,n0,n1,sK1_exists_f_Z(n0,n0,n0,n1)),true) = true,
inference(superposition,[status(thm)],[c_63,c_1894]) ).
tcf(c_1896,plain,
ifeq2(true,true,f(n1,n0,n0,n1,sK1_exists_f_Z(n1,n0,n0,n1)),true) = true,
inference(superposition,[status(thm)],[c_64,c_1894]) ).
tcf(c_1904,plain,
f(n0,n0,n0,n1,sK1_exists_f_Z(n0,n0,n0,n1)) = true,
inference(demodulation,[status(thm)],[c_1895,c_61]) ).
tcf(c_1906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X0,n0),true),true) = true,
inference(superposition,[status(thm)],[c_1904,c_69]) ).
tcf(c_1907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X1,n0),true),true) = true,
inference(superposition,[status(thm)],[c_1904,c_68]) ).
tcf(c_1908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X2,n0),true),true) = true,
inference(superposition,[status(thm)],[c_1904,c_67]) ).
tcf(c_1909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X3,n1),true),true) = true,
inference(superposition,[status(thm)],[c_1904,c_66]) ).
tcf(c_1910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,ifeq2(true,true,equalish(n0,X0),true),true) = true,
inference(superposition,[status(thm)],[c_1904,c_69]) ).
tcf(c_1911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,ifeq2(true,true,equalish(n0,X1),true),true) = true,
inference(superposition,[status(thm)],[c_1904,c_68]) ).
tcf(c_1912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,ifeq2(true,true,equalish(n0,X2),true),true) = true,
inference(superposition,[status(thm)],[c_1904,c_67]) ).
tcf(c_1913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,ifeq2(true,true,equalish(n1,X3),true),true) = true,
inference(superposition,[status(thm)],[c_1904,c_66]) ).
tcf(c_1930,plain,
f(n1,n0,n0,n1,sK1_exists_f_Z(n1,n0,n0,n1)) = true,
inference(demodulation,[status(thm)],[c_1896,c_61]) ).
tcf(c_1932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X0,n1),true),true) = true,
inference(superposition,[status(thm)],[c_1930,c_69]) ).
tcf(c_1933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X1,n0),true),true) = true,
inference(superposition,[status(thm)],[c_1930,c_68]) ).
tcf(c_1934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X2,n0),true),true) = true,
inference(superposition,[status(thm)],[c_1930,c_67]) ).
tcf(c_1935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X3,n1),true),true) = true,
inference(superposition,[status(thm)],[c_1930,c_66]) ).
tcf(c_1936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,ifeq2(true,true,equalish(n1,X0),true),true) = true,
inference(superposition,[status(thm)],[c_1930,c_69]) ).
tcf(c_1937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,ifeq2(true,true,equalish(n0,X1),true),true) = true,
inference(superposition,[status(thm)],[c_1930,c_68]) ).
tcf(c_1938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,ifeq2(true,true,equalish(n0,X2),true),true) = true,
inference(superposition,[status(thm)],[c_1930,c_67]) ).
tcf(c_1939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,ifeq2(true,true,equalish(n1,X3),true),true) = true,
inference(superposition,[status(thm)],[c_1930,c_66]) ).
tcf(c_2026,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,n1,X0,n1,sK1_exists_f_Z(X1,n1,X0,n1)),true),true) = true,
inference(demodulation,[status(thm)],[c_144,c_61]) ).
tcf(c_2029,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,n1,X0,n1,sK1_exists_f_Z(n0,n1,X0,n1)),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_2026]) ).
tcf(c_2030,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,n1,X0,n1,sK1_exists_f_Z(n1,n1,X0,n1)),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_2026]) ).
tcf(c_2037,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(X0,n1,n0,n1,sK1_exists_f_Z(X0,n1,n0,n1)),true) = true,
inference(demodulation,[status(thm)],[c_1595,c_61]) ).
tcf(c_2038,plain,
ifeq2(true,true,f(n0,n1,n0,n1,sK1_exists_f_Z(n0,n1,n0,n1)),true) = true,
inference(superposition,[status(thm)],[c_63,c_2037]) ).
tcf(c_2039,plain,
ifeq2(true,true,f(n1,n1,n0,n1,sK1_exists_f_Z(n1,n1,n0,n1)),true) = true,
inference(superposition,[status(thm)],[c_64,c_2037]) ).
tcf(c_2047,plain,
f(n0,n1,n0,n1,sK1_exists_f_Z(n0,n1,n0,n1)) = true,
inference(demodulation,[status(thm)],[c_2038,c_61]) ).
tcf(c_2049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X0,n0),true),true) = true,
inference(superposition,[status(thm)],[c_2047,c_69]) ).
tcf(c_2050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X1,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2047,c_68]) ).
tcf(c_2051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X2,n0),true),true) = true,
inference(superposition,[status(thm)],[c_2047,c_67]) ).
tcf(c_2052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X3,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2047,c_66]) ).
tcf(c_2053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,ifeq2(true,true,equalish(n0,X0),true),true) = true,
inference(superposition,[status(thm)],[c_2047,c_69]) ).
tcf(c_2054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,ifeq2(true,true,equalish(n1,X1),true),true) = true,
inference(superposition,[status(thm)],[c_2047,c_68]) ).
tcf(c_2055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,ifeq2(true,true,equalish(n0,X2),true),true) = true,
inference(superposition,[status(thm)],[c_2047,c_67]) ).
tcf(c_2056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,ifeq2(true,true,equalish(n1,X3),true),true) = true,
inference(superposition,[status(thm)],[c_2047,c_66]) ).
tcf(c_2073,plain,
f(n1,n1,n0,n1,sK1_exists_f_Z(n1,n1,n0,n1)) = true,
inference(demodulation,[status(thm)],[c_2039,c_61]) ).
tcf(c_2075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X0,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2073,c_69]) ).
tcf(c_2076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X1,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2073,c_68]) ).
tcf(c_2077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X2,n0),true),true) = true,
inference(superposition,[status(thm)],[c_2073,c_67]) ).
tcf(c_2078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X3,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2073,c_66]) ).
tcf(c_2079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,ifeq2(true,true,equalish(n1,X0),true),true) = true,
inference(superposition,[status(thm)],[c_2073,c_69]) ).
tcf(c_2080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,ifeq2(true,true,equalish(n1,X1),true),true) = true,
inference(superposition,[status(thm)],[c_2073,c_68]) ).
tcf(c_2081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,ifeq2(true,true,equalish(n0,X2),true),true) = true,
inference(superposition,[status(thm)],[c_2073,c_67]) ).
tcf(c_2082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,ifeq2(true,true,equalish(n1,X3),true),true) = true,
inference(superposition,[status(thm)],[c_2073,c_66]) ).
tcf(c_2103,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n0,X0,n0,n1,sK1_exists_f_Z(n0,X0,n0,n1)),true) = true,
inference(demodulation,[status(thm)],[c_1596,c_61]) ).
tcf(c_2170,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n0,X1,X0,n1,sK1_exists_f_Z(n0,X1,X0,n1)),true),true) = true,
inference(demodulation,[status(thm)],[c_145,c_61]) ).
tcf(c_2186,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n1,X0,n0,n1,sK1_exists_f_Z(n1,X0,n0,n1)),true) = true,
inference(demodulation,[status(thm)],[c_1597,c_61]) ).
tcf(c_2199,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(X0,n0,n1,n1,sK1_exists_f_Z(X0,n0,n1,n1)),true) = true,
inference(demodulation,[status(thm)],[c_1691,c_61]) ).
tcf(c_2200,plain,
ifeq2(true,true,f(n0,n0,n1,n1,sK1_exists_f_Z(n0,n0,n1,n1)),true) = true,
inference(superposition,[status(thm)],[c_63,c_2199]) ).
tcf(c_2201,plain,
ifeq2(true,true,f(n1,n0,n1,n1,sK1_exists_f_Z(n1,n0,n1,n1)),true) = true,
inference(superposition,[status(thm)],[c_64,c_2199]) ).
tcf(c_2210,plain,
f(n0,n0,n1,n1,sK1_exists_f_Z(n0,n0,n1,n1)) = true,
inference(demodulation,[status(thm)],[c_2200,c_61]) ).
tcf(c_2212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X0,n0),true),true) = true,
inference(superposition,[status(thm)],[c_2210,c_69]) ).
tcf(c_2213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X1,n0),true),true) = true,
inference(superposition,[status(thm)],[c_2210,c_68]) ).
tcf(c_2214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X2,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2210,c_67]) ).
tcf(c_2215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X3,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2210,c_66]) ).
tcf(c_2216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,ifeq2(true,true,equalish(n0,X0),true),true) = true,
inference(superposition,[status(thm)],[c_2210,c_69]) ).
tcf(c_2217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,ifeq2(true,true,equalish(n0,X1),true),true) = true,
inference(superposition,[status(thm)],[c_2210,c_68]) ).
tcf(c_2218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,ifeq2(true,true,equalish(n1,X2),true),true) = true,
inference(superposition,[status(thm)],[c_2210,c_67]) ).
tcf(c_2219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,ifeq2(true,true,equalish(n1,X3),true),true) = true,
inference(superposition,[status(thm)],[c_2210,c_66]) ).
tcf(c_2240,plain,
f(n1,n0,n1,n1,sK1_exists_f_Z(n1,n0,n1,n1)) = true,
inference(demodulation,[status(thm)],[c_2201,c_61]) ).
tcf(c_2242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X0,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2240,c_69]) ).
tcf(c_2243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X1,n0),true),true) = true,
inference(superposition,[status(thm)],[c_2240,c_68]) ).
tcf(c_2244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X2,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2240,c_67]) ).
tcf(c_2245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X3,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2240,c_66]) ).
tcf(c_2246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,ifeq2(true,true,equalish(n1,X0),true),true) = true,
inference(superposition,[status(thm)],[c_2240,c_69]) ).
tcf(c_2247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,ifeq2(true,true,equalish(n0,X1),true),true) = true,
inference(superposition,[status(thm)],[c_2240,c_68]) ).
tcf(c_2248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,ifeq2(true,true,equalish(n1,X2),true),true) = true,
inference(superposition,[status(thm)],[c_2240,c_67]) ).
tcf(c_2249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,ifeq2(true,true,equalish(n1,X3),true),true) = true,
inference(superposition,[status(thm)],[c_2240,c_66]) ).
tcf(c_2330,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n1,X1,X0,n1,sK1_exists_f_Z(n1,X1,X0,n1)),true),true) = true,
inference(demodulation,[status(thm)],[c_146,c_61]) ).
tcf(c_2347,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(X0,n1,n1,n1,sK1_exists_f_Z(X0,n1,n1,n1)),true) = true,
inference(demodulation,[status(thm)],[c_1692,c_61]) ).
tcf(c_2348,plain,
ifeq2(true,true,f(n0,n1,n1,n1,sK1_exists_f_Z(n0,n1,n1,n1)),true) = true,
inference(superposition,[status(thm)],[c_63,c_2347]) ).
tcf(c_2349,plain,
ifeq2(true,true,f(n1,n1,n1,n1,sK1_exists_f_Z(n1,n1,n1,n1)),true) = true,
inference(superposition,[status(thm)],[c_64,c_2347]) ).
tcf(c_2364,plain,
f(n0,n1,n1,n1,sK1_exists_f_Z(n0,n1,n1,n1)) = true,
inference(demodulation,[status(thm)],[c_2348,c_61]) ).
tcf(c_2366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X0,n0),true),true) = true,
inference(superposition,[status(thm)],[c_2364,c_69]) ).
tcf(c_2367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X1,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2364,c_68]) ).
tcf(c_2368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X2,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2364,c_67]) ).
tcf(c_2369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X3,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2364,c_66]) ).
tcf(c_2370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,ifeq2(true,true,equalish(n0,X0),true),true) = true,
inference(superposition,[status(thm)],[c_2364,c_69]) ).
tcf(c_2371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,ifeq2(true,true,equalish(n1,X1),true),true) = true,
inference(superposition,[status(thm)],[c_2364,c_68]) ).
tcf(c_2372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,ifeq2(true,true,equalish(n1,X2),true),true) = true,
inference(superposition,[status(thm)],[c_2364,c_67]) ).
tcf(c_2373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,ifeq2(true,true,equalish(n1,X3),true),true) = true,
inference(superposition,[status(thm)],[c_2364,c_66]) ).
tcf(c_2391,plain,
f(n1,n1,n1,n1,sK1_exists_f_Z(n1,n1,n1,n1)) = true,
inference(demodulation,[status(thm)],[c_2349,c_61]) ).
tcf(c_2393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X0,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2391,c_69]) ).
tcf(c_2394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X1,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2391,c_68]) ).
tcf(c_2395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X2,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2391,c_67]) ).
tcf(c_2396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(true,true,ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X3,n1),true),true) = true,
inference(superposition,[status(thm)],[c_2391,c_66]) ).
tcf(c_2397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,ifeq2(true,true,equalish(n1,X0),true),true) = true,
inference(superposition,[status(thm)],[c_2391,c_69]) ).
tcf(c_2398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,ifeq2(true,true,equalish(n1,X1),true),true) = true,
inference(superposition,[status(thm)],[c_2391,c_68]) ).
tcf(c_2399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,ifeq2(true,true,equalish(n1,X2),true),true) = true,
inference(superposition,[status(thm)],[c_2391,c_67]) ).
tcf(c_2400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,ifeq2(true,true,equalish(n1,X3),true),true) = true,
inference(superposition,[status(thm)],[c_2391,c_66]) ).
tcf(c_2425,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n0,X0,n1,n1,sK1_exists_f_Z(n0,X0,n1,n1)),true) = true,
inference(demodulation,[status(thm)],[c_1693,c_61]) ).
tcf(c_2498,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,n0,n0,X0,sK1_exists_f_Z(X1,n0,n0,X0)),true),true) = true,
inference(demodulation,[status(thm)],[c_327,c_61]) ).
tcf(c_2506,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,n0,n0,X0,sK1_exists_f_Z(n0,n0,n0,X0)),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_2498]) ).
tcf(c_2507,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,n0,n0,X0,sK1_exists_f_Z(n1,n0,n0,X0)),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_2498]) ).
tcf(c_2518,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n1,X0,n1,n1,sK1_exists_f_Z(n1,X0,n1,n1)),true) = true,
inference(demodulation,[status(thm)],[c_1694,c_61]) ).
tcf(c_2532,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n0,n0,X0,n1,sK1_exists_f_Z(n0,n0,X0,n1)),true) = true,
inference(demodulation,[status(thm)],[c_1836,c_61]) ).
tcf(c_2547,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n1,n0,X0,n1,sK1_exists_f_Z(n1,n0,X0,n1)),true) = true,
inference(demodulation,[status(thm)],[c_1837,c_61]) ).
tcf(c_2561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X0,n0),true) = true,
inference(demodulation,[status(thm)],[c_1906,c_61]) ).
tcf(c_2643,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,n1,n0,X0,sK1_exists_f_Z(X1,n1,n0,X0)),true),true) = true,
inference(demodulation,[status(thm)],[c_328,c_61]) ).
tcf(c_2651,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,n1,n0,X0,sK1_exists_f_Z(n0,n1,n0,X0)),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_2643]) ).
tcf(c_2652,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,n1,n0,X0,sK1_exists_f_Z(n1,n1,n0,X0)),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_2643]) ).
tcf(c_2662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X1,n0),true) = true,
inference(demodulation,[status(thm)],[c_1907,c_61]) ).
tcf(c_2669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X2,n0),true) = true,
inference(demodulation,[status(thm)],[c_1908,c_61]) ).
tcf(c_2677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(X3,n1),true) = true,
inference(demodulation,[status(thm)],[c_1909,c_61]) ).
tcf(c_2685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(n0,X0),true) = true,
inference(demodulation,[status(thm)],[c_1910,c_61]) ).
tcf(c_2688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,true,true) = true,
inference(superposition,[status(thm)],[c_2685,c_66]) ).
tcf(c_2770,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n0,X1,n0,X0,sK1_exists_f_Z(n0,X1,n0,X0)),true),true) = true,
inference(demodulation,[status(thm)],[c_331,c_61]) ).
tcf(c_2790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(n0,X1),true) = true,
inference(demodulation,[status(thm)],[c_1911,c_61]) ).
tcf(c_2797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(n0,X2),true) = true,
inference(demodulation,[status(thm)],[c_1912,c_61]) ).
tcf(c_2805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n0,n1)),true,equalish(n1,X3),true) = true,
inference(demodulation,[status(thm)],[c_1913,c_61]) ).
tcf(c_2813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X0,n1),true) = true,
inference(demodulation,[status(thm)],[c_1932,c_61]) ).
tcf(c_2875,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n1,X1,n0,X0,sK1_exists_f_Z(n1,X1,n0,X0)),true),true) = true,
inference(demodulation,[status(thm)],[c_332,c_61]) ).
tcf(c_2896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X1,n0),true) = true,
inference(demodulation,[status(thm)],[c_1933,c_61]) ).
tcf(c_2903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X2,n0),true) = true,
inference(demodulation,[status(thm)],[c_1934,c_61]) ).
tcf(c_2910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(X3,n1),true) = true,
inference(demodulation,[status(thm)],[c_1935,c_61]) ).
tcf(c_2918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(n1,X0),true) = true,
inference(demodulation,[status(thm)],[c_1936,c_61]) ).
tcf(c_2921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,true,true) = true,
inference(superposition,[status(thm)],[c_2918,c_66]) ).
tcf(c_2979,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,n0,n1,X0,sK1_exists_f_Z(X1,n0,n1,X0)),true),true) = true,
inference(demodulation,[status(thm)],[c_446,c_61]) ).
tcf(c_2988,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,n0,n1,X0,sK1_exists_f_Z(n0,n0,n1,X0)),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_2979]) ).
tcf(c_2989,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,n0,n1,X0,sK1_exists_f_Z(n1,n0,n1,X0)),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_2979]) ).
tcf(c_3000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(n0,X1),true) = true,
inference(demodulation,[status(thm)],[c_1937,c_61]) ).
tcf(c_3007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(n0,X2),true) = true,
inference(demodulation,[status(thm)],[c_1938,c_61]) ).
tcf(c_3014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n0,n1)),true,equalish(n1,X3),true) = true,
inference(demodulation,[status(thm)],[c_1939,c_61]) ).
tcf(c_3022,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n0,n1,X0,n1,sK1_exists_f_Z(n0,n1,X0,n1)),true) = true,
inference(demodulation,[status(thm)],[c_2029,c_61]) ).
tcf(c_3112,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(X1,n1,n1,X0,sK1_exists_f_Z(X1,n1,n1,X0)),true),true) = true,
inference(demodulation,[status(thm)],[c_447,c_61]) ).
tcf(c_3120,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n0,n1,n1,X0,sK1_exists_f_Z(n0,n1,n1,X0)),true),true) = true,
inference(superposition,[status(thm)],[c_63,c_3112]) ).
tcf(c_3121,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,ifeq2(true,true,f(n1,n1,n1,X0,sK1_exists_f_Z(n1,n1,n1,X0)),true),true) = true,
inference(superposition,[status(thm)],[c_64,c_3112]) ).
tcf(c_3132,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n1,n1,X0,n1,sK1_exists_f_Z(n1,n1,X0,n1)),true) = true,
inference(demodulation,[status(thm)],[c_2030,c_61]) ).
tcf(c_3147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X0,n0),true) = true,
inference(demodulation,[status(thm)],[c_2049,c_61]) ).
tcf(c_3155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X1,n1),true) = true,
inference(demodulation,[status(thm)],[c_2050,c_61]) ).
tcf(c_3162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X2,n0),true) = true,
inference(demodulation,[status(thm)],[c_2051,c_61]) ).
tcf(c_3244,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n0,X1,n1,X0,sK1_exists_f_Z(n0,X1,n1,X0)),true),true) = true,
inference(demodulation,[status(thm)],[c_448,c_61]) ).
tcf(c_3264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(X3,n1),true) = true,
inference(demodulation,[status(thm)],[c_2052,c_61]) ).
tcf(c_3272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(n0,X0),true) = true,
inference(demodulation,[status(thm)],[c_2053,c_61]) ).
tcf(c_3275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,true,true) = true,
inference(superposition,[status(thm)],[c_3272,c_66]) ).
tcf(c_3290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(n1,X1),true) = true,
inference(demodulation,[status(thm)],[c_2054,c_61]) ).
tcf(c_3306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(n0,X2),true) = true,
inference(demodulation,[status(thm)],[c_2055,c_61]) ).
tcf(c_3313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n0,n1)),true,equalish(n1,X3),true) = true,
inference(demodulation,[status(thm)],[c_2056,c_61]) ).
tcf(c_3321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X0,n1),true) = true,
inference(demodulation,[status(thm)],[c_2075,c_61]) ).
tcf(c_3328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X1,n1),true) = true,
inference(demodulation,[status(thm)],[c_2076,c_61]) ).
tcf(c_3336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X2,n0),true) = true,
inference(demodulation,[status(thm)],[c_2077,c_61]) ).
tcf(c_3343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(X3,n1),true) = true,
inference(demodulation,[status(thm)],[c_2078,c_61]) ).
tcf(c_3351,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n1,X1,n1,X0,sK1_exists_f_Z(n1,X1,n1,X0)),true),true) = true,
inference(demodulation,[status(thm)],[c_449,c_61]) ).
tcf(c_3372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(n1,X0),true) = true,
inference(demodulation,[status(thm)],[c_2079,c_61]) ).
tcf(c_3375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,true,true) = true,
inference(superposition,[status(thm)],[c_3372,c_66]) ).
tcf(c_3389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(n1,X1),true) = true,
inference(demodulation,[status(thm)],[c_2080,c_61]) ).
tcf(c_3397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(n0,X2),true) = true,
inference(demodulation,[status(thm)],[c_2081,c_61]) ).
tcf(c_3404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n0,n1)),true,equalish(n1,X3),true) = true,
inference(demodulation,[status(thm)],[c_2082,c_61]) ).
tcf(c_3414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X0,n0),true) = true,
inference(demodulation,[status(thm)],[c_2212,c_61]) ).
tcf(c_3421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X1,n0),true) = true,
inference(demodulation,[status(thm)],[c_2213,c_61]) ).
tcf(c_3429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X2,n1),true) = true,
inference(demodulation,[status(thm)],[c_2214,c_61]) ).
tcf(c_3436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(X3,n1),true) = true,
inference(demodulation,[status(thm)],[c_2215,c_61]) ).
tcf(c_3444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(n0,X0),true) = true,
inference(demodulation,[status(thm)],[c_2216,c_61]) ).
tcf(c_3447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,true,true) = true,
inference(superposition,[status(thm)],[c_3444,c_66]) ).
tcf(c_3461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(n0,X1),true) = true,
inference(demodulation,[status(thm)],[c_2217,c_61]) ).
tcf(c_3469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(n1,X2),true) = true,
inference(demodulation,[status(thm)],[c_2218,c_61]) ).
tcf(c_3476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n0,n1,n1)),true,equalish(n1,X3),true) = true,
inference(demodulation,[status(thm)],[c_2219,c_61]) ).
tcf(c_3484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X0,n1),true) = true,
inference(demodulation,[status(thm)],[c_2242,c_61]) ).
tcf(c_3494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X1,n0),true) = true,
inference(demodulation,[status(thm)],[c_2243,c_61]) ).
tcf(c_3501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X2,n1),true) = true,
inference(demodulation,[status(thm)],[c_2244,c_61]) ).
tcf(c_3508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(X3,n1),true) = true,
inference(demodulation,[status(thm)],[c_2245,c_61]) ).
tcf(c_3516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(n1,X0),true) = true,
inference(demodulation,[status(thm)],[c_2246,c_61]) ).
tcf(c_3519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,true,true) = true,
inference(superposition,[status(thm)],[c_3516,c_66]) ).
tcf(c_3534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(n0,X1),true) = true,
inference(demodulation,[status(thm)],[c_2247,c_61]) ).
tcf(c_3541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(n1,X2),true) = true,
inference(demodulation,[status(thm)],[c_2248,c_61]) ).
tcf(c_3548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n0,n1,n1)),true,equalish(n1,X3),true) = true,
inference(demodulation,[status(thm)],[c_2249,c_61]) ).
tcf(c_3558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X0,n0),true) = true,
inference(demodulation,[status(thm)],[c_2366,c_61]) ).
tcf(c_3566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X1,n1),true) = true,
inference(demodulation,[status(thm)],[c_2367,c_61]) ).
tcf(c_3573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X2,n1),true) = true,
inference(demodulation,[status(thm)],[c_2368,c_61]) ).
tcf(c_3580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(X3,n1),true) = true,
inference(demodulation,[status(thm)],[c_2369,c_61]) ).
tcf(c_3588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(n0,X0),true) = true,
inference(demodulation,[status(thm)],[c_2370,c_61]) ).
tcf(c_3591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,true,true) = true,
inference(superposition,[status(thm)],[c_3588,c_66]) ).
tcf(c_3606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(n1,X1),true) = true,
inference(demodulation,[status(thm)],[c_2371,c_61]) ).
tcf(c_3615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(n1,X2),true) = true,
inference(demodulation,[status(thm)],[c_2372,c_61]) ).
tcf(c_3622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n0,n1,n1,n1)),true,equalish(n1,X3),true) = true,
inference(demodulation,[status(thm)],[c_2373,c_61]) ).
tcf(c_3630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X0,n1),true) = true,
inference(demodulation,[status(thm)],[c_2393,c_61]) ).
tcf(c_3637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X1,n1),true) = true,
inference(demodulation,[status(thm)],[c_2394,c_61]) ).
tcf(c_3644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X2,n1),true) = true,
inference(demodulation,[status(thm)],[c_2395,c_61]) ).
tcf(c_3651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(X3,n1),true) = true,
inference(demodulation,[status(thm)],[c_2396,c_61]) ).
tcf(c_3659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(n1,X0),true) = true,
inference(demodulation,[status(thm)],[c_2397,c_61]) ).
tcf(c_3662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,true,true) = true,
inference(superposition,[status(thm)],[c_3659,c_66]) ).
tcf(c_3676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(n1,X1),true) = true,
inference(demodulation,[status(thm)],[c_2398,c_61]) ).
tcf(c_3683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(n1,X2),true) = true,
inference(demodulation,[status(thm)],[c_2399,c_61]) ).
tcf(c_3690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(f(X0,X1,X2,X3,sK1_exists_f_Z(n1,n1,n1,n1)),true,equalish(n1,X3),true) = true,
inference(demodulation,[status(thm)],[c_2400,c_61]) ).
tcf(c_3698,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n0,n0,n0,X0,sK1_exists_f_Z(n0,n0,n0,X0)),true) = true,
inference(demodulation,[status(thm)],[c_2506,c_61]) ).
tcf(c_3714,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n1,n0,n0,X0,sK1_exists_f_Z(n1,n0,n0,X0)),true) = true,
inference(demodulation,[status(thm)],[c_2507,c_61]) ).
tcf(c_3730,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n0,n1,n0,X0,sK1_exists_f_Z(n0,n1,n0,X0)),true) = true,
inference(demodulation,[status(thm)],[c_2651,c_61]) ).
tcf(c_3746,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n1,n1,n0,X0,sK1_exists_f_Z(n1,n1,n0,X0)),true) = true,
inference(demodulation,[status(thm)],[c_2652,c_61]) ).
tcf(c_3762,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n0,n0,n1,X0,sK1_exists_f_Z(n0,n0,n1,X0)),true) = true,
inference(demodulation,[status(thm)],[c_2988,c_61]) ).
tcf(c_3778,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n0,n0,X1,X0,sK1_exists_f_Z(n0,n0,X1,X0)),true),true) = true,
inference(demodulation,[status(thm)],[c_545,c_61]) ).
tcf(c_3803,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n1,n0,n1,X0,sK1_exists_f_Z(n1,n0,n1,X0)),true) = true,
inference(demodulation,[status(thm)],[c_2989,c_61]) ).
tcf(c_3819,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n0,n1,n1,X0,sK1_exists_f_Z(n0,n1,n1,X0)),true) = true,
inference(demodulation,[status(thm)],[c_3120,c_61]) ).
tcf(c_3835,plain,
! [X0: $i] : ifeq2(equalish(X0,X0),true,f(n1,n1,n1,X0,sK1_exists_f_Z(n1,n1,n1,X0)),true) = true,
inference(demodulation,[status(thm)],[c_3121,c_61]) ).
tcf(c_3851,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n1,n0,X1,X0,sK1_exists_f_Z(n1,n0,X1,X0)),true),true) = true,
inference(demodulation,[status(thm)],[c_546,c_61]) ).
tcf(c_3880,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n0,n1,X1,X0,sK1_exists_f_Z(n0,n1,X1,X0)),true),true) = true,
inference(demodulation,[status(thm)],[c_642,c_61]) ).
tcf(c_3905,plain,
! [X0: $i,X1: $i] : ifeq2(equalish(X0,X0),true,ifeq2(equalish(X1,X1),true,f(n1,n1,X1,X0,sK1_exists_f_Z(n1,n1,X1,X0)),true),true) = true,
inference(demodulation,[status(thm)],[c_643,c_61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC014-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% 0.12/0.37 % Computer : n014.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 : Thu Sep 24 01:28:33 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% 0.12/0.40 Running model finding
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 3.90/1.08 % SZS status Started for theBenchmark.p
% 3.90/1.08 % SZS status Satisfiable for theBenchmark.p
% 3.90/1.08
% 3.90/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.90/1.08
% 3.90/1.08 ------ iProver source info
% 3.90/1.08
% 3.90/1.08 git: date: 2026-07-19 20:42:38 +0200
% 3.90/1.08 git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.90/1.08 git: non_committed_changes: false
% 3.90/1.08
% 3.90/1.08 ------ Parsing...successful
% 3.90/1.08
% 3.90/1.08
% 3.90/1.08 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_UEQ
% 3.90/1.08
% 3.90/1.08 ------ Proving...
% 3.90/1.08 ------ Problem Properties
% 3.90/1.08
% 3.90/1.08
% 3.90/1.08 clauses 12
% 3.90/1.08 conjectures 1
% 3.90/1.08 EPR 1
% 3.90/1.08 Horn 12
% 3.90/1.08 unary 12
% 3.90/1.08 binary 0
% 3.90/1.08 lits 12
% 3.90/1.08 lits eq 12
% 3.90/1.08 fd_pure 0
% 3.90/1.08 fd_pseudo 0
% 3.90/1.08 fd_cond 0
% 3.90/1.08 fd_pseudo_cond 0
% 3.90/1.08 AC symbols 0
% 3.90/1.08
% 3.90/1.08 ------ Schedule UEQ
% 3.90/1.08
% 3.90/1.08 ------ Option_UEQ Time Limit: 10.
% 3.90/1.08
% 3.90/1.08
% 3.90/1.08 ------
% 3.90/1.08 Current options:
% 3.90/1.08 ------
% 3.90/1.08
% 3.90/1.08 ------ Input Options
% 3.90/1.08
% 3.90/1.08 --out_options all
% 3.90/1.08 --tptp_safe_out true
% 3.90/1.08 --problem_path ""
% 3.90/1.08 --include_path ""
% 3.90/1.08 --clausifier res/vclausify_rel
% 3.90/1.08 --clausifier_options --mode clausify -t 101.67 -updr off
% 3.90/1.08 --stdin false
% 3.90/1.08 --proof_out true
% 3.90/1.08 --proof_dot_file ""
% 3.90/1.08 --proof_reduce_dot []
% 3.90/1.08 --suppress_sat_res false
% 3.90/1.08 --suppress_unsat_res true
% 3.90/1.08 --stats_out none
% 3.90/1.08 --stats_mem false
% 3.90/1.08 --theory_stats_out false
% 3.90/1.08
% 3.90/1.08 ------ General Options
% 3.90/1.08
% 3.90/1.08 --fof false
% 3.90/1.08 --time_out_real 305.
% 3.90/1.08 --time_out_virtual -1.
% 3.90/1.08 --rnd_seed 13
% 3.90/1.08 --symbol_type_check false
% 3.90/1.08 --clausify_out false
% 3.90/1.08 --sig_cnt_out false
% 3.90/1.08 --trig_cnt_out false
% 3.90/1.08 --trig_cnt_out_tolerance 1.
% 3.90/1.08 --trig_cnt_out_sk_spl false
% 3.90/1.08 --abstr_cl_out false
% 3.90/1.08
% 3.90/1.08 ------ Interactive Mode
% 3.90/1.08
% 3.90/1.08 --interactive_mode false
% 3.90/1.08 --external_ip_address ""
% 3.90/1.08 --external_port 0
% 3.90/1.08
% 3.90/1.08 ------ Global Options
% 3.90/1.08
% 3.90/1.08 --schedule default
% 3.90/1.08 --add_important_lit false
% 3.90/1.08 --prop_solver_per_cl 500
% 3.90/1.08 --subs_bck_mult 8
% 3.90/1.08 --min_unsat_core false
% 3.90/1.08 --soft_assumptions false
% 3.90/1.08 --soft_lemma_size 3
% 3.90/1.08 --prop_impl_unit_size 0
% 3.90/1.08 --prop_impl_unit []
% 3.90/1.08 --share_sel_clauses true
% 3.90/1.08 --reset_solvers false
% 3.90/1.08 --bc_imp_inh [conj_cone]
% 3.90/1.08 --conj_cone_tolerance 3.
% 3.90/1.08 --extra_neg_conj none
% 3.90/1.08 --large_theory_mode true
% 3.90/1.08 --prolific_symb_bound 200
% 3.90/1.08 --lt_threshold 2000
% 3.90/1.08 --clause_weak_htbl true
% 3.90/1.08 --gc_record_bc_elim false
% 3.90/1.08
% 3.90/1.08 ------ Preprocessing Options
% 3.90/1.08
% 3.90/1.08 --preprocessing_flag false
% 3.90/1.08 --time_out_prep_mult 0.1
% 3.90/1.08 --splitting_mode input
% 3.90/1.08 --splitting_grd true
% 3.90/1.08 --splitting_cvd false
% 3.90/1.08 --splitting_cvd_svl false
% 3.90/1.08 --splitting_nvd 32
% 3.90/1.08 --sub_typing false
% 3.90/1.08 --prep_eq_flat_conj true
% 3.90/1.08 --prep_ineq_split false
% 3.90/1.08 --prep_eq_flat_all_gr false
% 3.90/1.08 --prep_gs_sim true
% 3.90/1.08 --prep_unflatten true
% 3.90/1.08 --prep_res_sim true
% 3.90/1.08 --prep_sup_sim_all true
% 3.90/1.08 --prep_sup_sim_sup false
% 3.90/1.08 --prep_upred true
% 3.90/1.08 --prep_well_definedness true
% 3.90/1.08 --prep_sem_filter exhaustive
% 3.90/1.08 --prep_sem_filter_out false
% 3.90/1.08 --pred_elim true
% 3.90/1.08 --res_sim_input true
% 3.90/1.08 --eq_ax_congr_red true
% 3.90/1.08 --pure_diseq_elim true
% 3.90/1.08 --brand_transform false
% 3.90/1.08 --non_eq_to_eq false
% 3.90/1.08 --prep_eq_proxy false
% 3.90/1.08 --prep_def_merge true
% 3.90/1.08 --prep_def_merge_prop_impl false
% 3.90/1.08 --prep_def_merge_mbd true
% 3.90/1.08 --prep_def_merge_tr_red false
% 3.90/1.08 --prep_def_merge_tr_cl false
% 3.90/1.08 --smt_preprocessing false
% 3.90/1.08 --smt_ac_axioms fast
% 3.90/1.08 --preprocessed_out false
% 3.90/1.08 --preprocessed_stats false
% 3.90/1.08
% 3.90/1.08 ------ Abstraction refinement Options
% 3.90/1.08
% 3.90/1.08 --abstr_ref []
% 3.90/1.08 --abstr_ref_prep false
% 3.90/1.08 --abstr_ref_until_sat false
% 3.90/1.08 --abstr_ref_sig_restrict funpre
% 3.90/1.08 --abstr_ref_af_restrict_to_split_sk false
% 3.90/1.08 --abstr_ref_under []
% 3.90/1.08
% 3.90/1.08 ------ SAT Options
% 3.90/1.08
% 3.90/1.08 --sat_mode false
% 3.90/1.08 --sat_fm_restart_options ""
% 3.90/1.08 --sat_gr_def false
% 3.90/1.08 --sat_epr_types true
% 3.90/1.08 --sat_non_cyclic_types false
% 3.90/1.08 --sat_finite_models false
% 3.90/1.08 --sat_fm_lemmas false
% 3.90/1.08 --sat_fm_prep false
% 3.90/1.08 --sat_fm_uc_incr true
% 3.90/1.08 --sat_out_model pos
% 3.90/1.08 --sat_out_clauses false
% 3.90/1.08
% 3.90/1.08 ------ QBF Options
% 3.90/1.08
% 3.90/1.08 --qbf_mode false
% 3.90/1.08 --qbf_elim_univ false
% 3.90/1.08 --qbf_dom_inst none
% 3.90/1.08 --qbf_dom_pre_inst false
% 3.90/1.08 --qbf_sk_in false
% 3.90/1.08 --qbf_pred_elim true
% 3.90/1.08 --qbf_split 512
% 3.90/1.08
% 3.90/1.08 ------ BMC1 Options
% 3.90/1.08
% 3.90/1.08 --bmc1_incremental false
% 3.90/1.08 --bmc1_axioms reachable_all
% 3.90/1.08 --bmc1_min_bound 0
% 3.90/1.08 --bmc1_max_bound -1
% 3.90/1.08 --bmc1_max_bound_default -1
% 3.90/1.08 --bmc1_symbol_reachability true
% 3.90/1.08 --bmc1_property_lemmas false
% 3.90/1.08 --bmc1_k_induction false
% 3.90/1.08 --bmc1_non_equiv_states false
% 3.90/1.08 --bmc1_deadlock false
% 3.90/1.08 --bmc1_ucm false
% 3.90/1.08 --bmc1_add_unsat_core none
% 3.90/1.08 --bmc1_unsat_core_children false
% 3.90/1.08 --bmc1_unsat_core_extrapolate_axioms false
% 3.90/1.08 --bmc1_out_stat full
% 3.90/1.08 --bmc1_ground_init false
% 3.90/1.08 --bmc1_pre_inst_next_state false
% 3.90/1.08 --bmc1_pre_inst_state false
% 3.90/1.08 --bmc1_pre_inst_reach_state false
% 3.90/1.08 --bmc1_out_unsat_core false
% 3.90/1.08 --bmc1_aig_witness_out false
% 3.90/1.08 --bmc1_verbose false
% 3.90/1.08 --bmc1_dump_clauses_tptp false
% 3.90/1.08 --bmc1_dump_unsat_core_tptp false
% 3.90/1.08 --bmc1_dump_file -
% 3.90/1.08 --bmc1_ucm_expand_uc_limit 128
% 3.90/1.08 --bmc1_ucm_n_expand_iterations 6
% 3.90/1.08 --bmc1_ucm_extend_mode 1
% 3.90/1.08 --bmc1_ucm_init_mode 2
% 3.90/1.08 --bmc1_ucm_cone_mode none
% 3.90/1.08 --bmc1_ucm_reduced_relation_type 0
% 3.90/1.08 --bmc1_ucm_relax_model 4
% 3.90/1.08 --bmc1_ucm_full_tr_after_sat true
% 3.90/1.08 --bmc1_ucm_expand_neg_assumptions false
% 3.90/1.08 --bmc1_ucm_layered_model none
% 3.90/1.08 --bmc1_ucm_max_lemma_size 10
% 3.90/1.08
% 3.90/1.08 ------ AIG Options
% 3.90/1.08
% 3.90/1.08 --aig_mode false
% 3.90/1.08
% 3.90/1.08 ------ Instantiation Options
% 3.90/1.08
% 3.90/1.08 --instantiation_flag true
% 3.90/1.08 --inst_sos_flag false
% 3.90/1.08 --inst_sos_phase true
% 3.90/1.08 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 3.90/1.08 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 3.90/1.08 --inst_lit_sel_side num_symb
% 3.90/1.08 --inst_solver_per_active 1400
% 3.90/1.08 --inst_solver_calls_frac 1.
% 3.90/1.08 --inst_to_smt_solver true
% 3.90/1.08 --inst_passive_queue_type priority_queues
% 3.90/1.08 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.90/1.08 --inst_passive_queues_freq [25;2]
% 3.90/1.08 --inst_dismatching true
% 3.90/1.08 --inst_eager_unprocessed_to_passive true
% 3.90/1.08 --inst_unprocessed_bound 1000
% 3.90/1.08 --inst_prop_sim_given true
% 3.90/1.08 --inst_prop_sim_new false
% 3.90/1.08 --inst_subs_new false
% 3.90/1.08 --inst_eq_res_simp false
% 3.90/1.08 --inst_subs_given false
% 3.90/1.08 --inst_orphan_elimination true
% 3.90/1.08 --inst_learning_loop_flag true
% 3.90/1.08 --inst_learning_start 3000
% 3.90/1.08 --inst_learning_factor 2
% 3.90/1.08 --inst_start_prop_sim_after_learn 3
% 3.90/1.08 --inst_sel_renew solver
% 3.90/1.08 --inst_lit_activity_flag true
% 3.90/1.08 --inst_restr_to_given false
% 3.90/1.08 --inst_activity_threshold 500
% 3.90/1.08
% 3.90/1.08 ------ Resolution Options
% 3.90/1.08
% 3.90/1.08 --resolution_flag false
% 3.90/1.08 --res_lit_sel adaptive
% 3.90/1.08 --res_lit_sel_side none
% 3.90/1.08 --res_ordering kbo
% 3.90/1.08 --res_to_prop_solver active
% 3.90/1.08 --res_prop_simpl_new false
% 3.90/1.08 --res_prop_simpl_given true
% 3.90/1.08 --res_to_smt_solver true
% 3.90/1.08 --res_passive_queue_type priority_queues
% 3.90/1.08 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.90/1.08 --res_passive_queues_freq [15;5]
% 3.90/1.08 --res_forward_subs full
% 3.90/1.08 --res_backward_subs full
% 3.90/1.08 --res_forward_subs_resolution true
% 3.90/1.08 --res_backward_subs_resolution true
% 3.90/1.08 --res_orphan_elimination true
% 3.90/1.08 --res_time_limit 300.
% 3.90/1.08
% 3.90/1.08 ------ Superposition Options
% 3.90/1.08
% 3.90/1.08 --superposition_flag true
% 3.90/1.08 --sup_passive_queue_type priority_queues
% 3.90/1.08 --sup_passive_queues [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]]
% 3.90/1.08 --sup_passive_queues_freq [8;1;4;4]
% 3.90/1.08 --twee_lhs_weight 4
% 3.90/1.08 --sup_set_join false
% 3.90/1.08 --sup_set_join_goals true
% 3.90/1.08 --sup_set_join_limit 1000
% 3.90/1.08 --demod_completeness_check fast
% 3.90/1.08 --demod_use_ground true
% 3.90/1.08 --sup_unprocessed_bound 0
% 3.90/1.08 --sup_to_prop_solver none
% 3.90/1.08 --sup_prop_simpl_new false
% 3.90/1.08 --sup_prop_simpl_given true
% 3.90/1.08 --sup_fun_splitting false
% 3.90/1.08 --sup_iter_deepening 0
% 3.90/1.08 --sup_restarts_mult 12
% 3.90/1.08 --sup_score sim_d_gen
% 3.90/1.08 --sup_share_score_frac 0.2
% 3.90/1.08 --sup_share_max_num_cl 500
% 3.90/1.08 --sup_ordering kbo
% 3.90/1.08 --sup_symb_ordering invfreq
% 3.90/1.08 --sup_term_weight default
% 3.90/1.08
% 3.90/1.08 ------ Superposition Simplification Setup
% 3.90/1.08
% 3.90/1.08 --sup_indices_passive [LightNormIndex;FwDemodIndex]
% 3.90/1.08 --sup_full_triv [SMTSimplify;PropSubs]
% 3.90/1.08 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 3.90/1.08 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.90/1.08 --sup_immed_triv []
% 3.90/1.08 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 3.90/1.08 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes]
% 3.90/1.08 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod]
% 3.90/1.08 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.90/1.08 --sup_input_triv [Unflattening;SMTSimplify]
% 3.90/1.08 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 3.90/1.08 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.90/1.08 --sup_full_fixpoint true
% 3.90/1.08 --sup_main_fixpoint true
% 3.90/1.08 --sup_immed_fixpoint false
% 3.90/1.08 --sup_input_fixpoint true
% 3.90/1.08 --sup_cache_sim none
% 3.90/1.08 --sup_smt_interval 500
% 3.90/1.08 --sup_bw_gjoin_interval 0
% 3.90/1.08
% 3.90/1.08 ------ Combination Options
% 3.90/1.08
% 3.90/1.08 --comb_mode clause_based
% 3.90/1.08 --comb_inst_mult 1
% 3.90/1.08 --comb_res_mult 0
% 3.90/1.08 --comb_sup_mult 8
% 3.90/1.08 --comb_sup_deep_mult 0
% 3.90/1.08
% 3.90/1.08 ------ Debug Options
% 3.90/1.08
% 3.90/1.08 --dbg_backtrace false
% 3.90/1.08 --dbg_dump_prop_clauses false
% 3.90/1.08 --dbg_dump_prop_clauses_file -
% 3.90/1.08 --dbg_out_stat false
% 3.90/1.08 --dbg_just_parse false
% 3.90/1.08
% 3.90/1.08
% 3.90/1.08
% 3.90/1.08
% 3.90/1.08 ------ Proving...
% 3.90/1.08
% 3.90/1.08
% 3.90/1.08 % SZS status Satisfiable for theBenchmark.p
% 3.90/1.08
% 3.90/1.08 % SZS output start Saturation for theBenchmark.p
% See solution above
% 3.90/1.08
% 3.90/1.08
%------------------------------------------------------------------------------