%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN015-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:18:44 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN015-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:39:12 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.12/0.46 % Refutation found
% 0.12/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.46 fof(f1,negated_conjecture,(
% 0.12/0.46 m != n ),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f2,negated_conjecture,(
% 0.12/0.46 (![Y]: (( Y = j| Y != k| element(Y,j) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f3,negated_conjecture,(
% 0.12/0.46 (![Y]: (( Y = j| Y = k| ~ element(Y,j) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f4,negated_conjecture,(
% 0.12/0.46 (![Y]: (( Y = m| ~ element(Y,m)| f(Y) != m ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f5,negated_conjecture,(
% 0.12/0.46 (![Y]: (( Y = m| ~ element(Y,m)| f(Y) != Y ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f6,negated_conjecture,(
% 0.12/0.46 (![Y]: (( Y = m| ~ element(Y,m)| element(Y,f(Y)) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f7,negated_conjecture,(
% 0.12/0.46 (![Y]: (( Y = m| ~ element(Y,m)| element(f(Y),Y) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f8,negated_conjecture,(
% 0.12/0.46 (![Y,V1]: (( Y = m| element(Y,m)| V1 = m| V1 = Y| ~ element(Y,V1)| ~ element(V1,Y) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f9,negated_conjecture,(
% 0.12/0.46 (![Y]: (( Y = n| element(Y,n)| g(Y) != n ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f10,negated_conjecture,(
% 0.12/0.46 (![Y]: (( Y = n| element(Y,n)| g(Y) != Y ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f11,negated_conjecture,(
% 0.12/0.46 (![Y]: (( Y = n| element(Y,n)| element(Y,g(Y)) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f12,negated_conjecture,(
% 0.12/0.46 (![Y]: (( Y = n| element(Y,n)| element(g(Y),Y) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f13,negated_conjecture,(
% 0.12/0.46 (![Y,V]: (( Y = n| ~ element(Y,n)| V = n| V = Y| ~ element(Y,V)| ~ element(V,Y) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f14,negated_conjecture,(
% 0.12/0.46 (![Y]: (( Y = k| Y != m| element(Y,k) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f15,negated_conjecture,(
% 0.12/0.46 (![Y]: (( Y = k| Y != n| element(Y,k) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f16,negated_conjecture,(
% 0.12/0.46 (![Y]: (( Y = k| Y = m| Y = n| ~ element(Y,k) ) ))),
% 0.12/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f17,plain,(
% 0.12/0.46 ~m=n),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.46 fof(f18,plain,(
% 0.12/0.46 ![X0]: (X0=j|~X0=k|element(X0,j))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.46 fof(f19,plain,(
% 0.12/0.46 ![X0]: (X0=j|X0=k|~element(X0,j))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.46 fof(f20,plain,(
% 0.12/0.46 ![X0]: (X0=m|~element(X0,m)|~f(X0)=m)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.46 fof(f21,plain,(
% 0.12/0.46 ![X0]: (X0=m|~element(X0,m)|~f(X0)=X0)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.46 fof(f22,plain,(
% 0.12/0.46 ![X0]: (X0=m|~element(X0,m)|element(X0,f(X0)))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.46 fof(f23,plain,(
% 0.12/0.46 ![X0]: (X0=m|~element(X0,m)|element(f(X0),X0))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.46 fof(f24,plain,(
% 0.12/0.46 ![X0,X1]: (X0=m|element(X0,m)|X1=m|X1=X0|~element(X0,X1)|~element(X1,X0))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.46 fof(f25,plain,(
% 0.12/0.46 ![X0]: (X0=n|element(X0,n)|~g(X0)=n)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.46 fof(f26,plain,(
% 0.12/0.46 ![X0]: (X0=n|element(X0,n)|~g(X0)=X0)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.46 fof(f27,plain,(
% 0.12/0.46 ![X0]: (X0=n|element(X0,n)|element(X0,g(X0)))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.46 fof(f28,plain,(
% 0.12/0.46 ![X0]: (X0=n|element(X0,n)|element(g(X0),X0))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.46 fof(f29,plain,(
% 0.12/0.46 ![X0,X1]: (X0=n|~element(X0,n)|X1=n|X1=X0|~element(X0,X1)|~element(X1,X0))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.46 fof(f30,plain,(
% 0.12/0.46 ![X0]: (X0=k|~X0=m|element(X0,k))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.46 fof(f31,plain,(
% 0.12/0.46 ![X0]: (X0=k|~X0=n|element(X0,k))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.46 fof(f32,plain,(
% 0.12/0.46 ![X0]: (X0=k|X0=m|X0=n|~element(X0,k))),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.46 fof(f33,plain,(
% 0.12/0.46 k=j|element(k,j)),
% 0.12/0.46 inference(destructive_equality_resolution,[status(thm)],[f18])).
% 0.12/0.46 fof(f34,plain,(
% 0.12/0.46 m=k|element(m,k)),
% 0.12/0.46 inference(destructive_equality_resolution,[status(thm)],[f30])).
% 0.12/0.46 fof(f35,plain,(
% 0.12/0.46 n=k|element(n,k)),
% 0.12/0.46 inference(destructive_equality_resolution,[status(thm)],[f31])).
% 0.12/0.46 fof(f36,plain,(
% 0.12/0.46 k=j|k=k|k=j),
% 0.12/0.46 inference(resolution,[status(thm)],[f19,f33])).
% 0.12/0.46 fof(f37,definition,(
% 0.12/0.46 sQ0_spl <=> (k=j)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f38,plain,(
% 0.12/0.46 k=j|~sQ0_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f37])).
% 0.12/0.46 fof(f40,definition,(
% 0.12/0.46 sQ1_spl <=> (k=k)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f43,plain,(
% 0.12/0.46 sQ0_spl|sQ1_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f36,f37,f40])).
% 0.12/0.46 fof(f44,plain,(
% 0.12/0.46 ![X0]: (X0=j|X0=j|~element(X0,j)|~sQ0_spl)),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f38,f19])).
% 0.12/0.46 fof(f47,plain,(
% 0.12/0.46 n=k|element(n,j)|~sQ0_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f38,f35])).
% 0.12/0.46 fof(f48,plain,(
% 0.12/0.46 m=k|element(m,j)|~sQ0_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f38,f34])).
% 0.12/0.46 fof(f49,plain,(
% 0.12/0.46 ![X0]: (X0=j|~element(X0,j)|~sQ0_spl)),
% 0.12/0.46 inference(duplicate_literals_removal,[status(thm)],[f44])).
% 0.12/0.46 fof(f55,definition,(
% 0.12/0.46 sQ3_spl <=> (n=k)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f56,plain,(
% 0.12/0.46 n=k|~sQ3_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f55])).
% 0.12/0.46 fof(f58,definition,(
% 0.12/0.46 sQ4_spl <=> (element(n,j))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f59,plain,(
% 0.12/0.46 element(n,j)|~sQ4_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f58])).
% 0.12/0.46 fof(f60,plain,(
% 0.12/0.46 ~element(n,j)|sQ4_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f58])).
% 0.12/0.46 fof(f61,plain,(
% 0.12/0.46 sQ3_spl|sQ4_spl|~sQ0_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f47,f55,f58,f37])).
% 0.12/0.46 fof(f62,definition,(
% 0.12/0.46 sQ5_spl <=> (m=k)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f63,plain,(
% 0.12/0.46 m=k|~sQ5_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f62])).
% 0.12/0.46 fof(f64,plain,(
% 0.12/0.46 ~m=k|sQ5_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f62])).
% 0.12/0.46 fof(f65,definition,(
% 0.12/0.46 sQ6_spl <=> (element(m,j))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f66,plain,(
% 0.12/0.46 element(m,j)|~sQ6_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f65])).
% 0.12/0.46 fof(f67,plain,(
% 0.12/0.46 ~element(m,j)|sQ6_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f65])).
% 0.12/0.46 fof(f68,plain,(
% 0.12/0.46 sQ5_spl|sQ6_spl|~sQ0_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f48,f62,f65,f37])).
% 0.12/0.46 fof(f70,plain,(
% 0.12/0.46 n=m|~sQ5_spl|~sQ3_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f63,f56])).
% 0.12/0.46 fof(f72,plain,(
% 0.12/0.46 $false|~sQ5_spl|~sQ3_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f70,f17])).
% 0.12/0.46 fof(f73,plain,(
% 0.12/0.46 ~sQ5_spl|~sQ3_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f72])).
% 0.12/0.46 fof(f74,plain,(
% 0.12/0.46 ~m=j|~sQ0_spl|sQ5_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f38,f64])).
% 0.12/0.46 fof(f76,plain,(
% 0.12/0.46 m=j|~sQ0_spl|~sQ6_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f49,f66])).
% 0.12/0.46 fof(f82,plain,(
% 0.12/0.46 $false|sQ5_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f76,f74])).
% 0.12/0.46 fof(f83,plain,(
% 0.12/0.46 sQ5_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f82])).
% 0.12/0.46 fof(f84,definition,(
% 0.12/0.46 sQ7_spl <=> (element(k,j))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f85,plain,(
% 0.12/0.46 element(k,j)|~sQ7_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f84])).
% 0.12/0.46 fof(f87,plain,(
% 0.12/0.46 sQ0_spl|sQ7_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f33,f37,f84])).
% 0.12/0.46 fof(f88,definition,(
% 0.12/0.46 sQ8_spl <=> (element(n,k))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f89,plain,(
% 0.12/0.46 element(n,k)|~sQ8_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f88])).
% 0.12/0.46 fof(f90,plain,(
% 0.12/0.46 ~element(n,k)|sQ8_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f88])).
% 0.12/0.46 fof(f91,plain,(
% 0.12/0.46 sQ3_spl|sQ8_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f35,f55,f88])).
% 0.12/0.46 fof(f92,definition,(
% 0.12/0.46 sQ9_spl <=> (element(m,k))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f93,plain,(
% 0.12/0.46 element(m,k)|~sQ9_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f92])).
% 0.12/0.46 fof(f95,plain,(
% 0.12/0.46 sQ5_spl|sQ9_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f34,f62,f92])).
% 0.12/0.46 fof(f100,plain,(
% 0.12/0.46 element(n,m)|~sQ5_spl|~sQ8_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f63,f89])).
% 0.12/0.46 fof(f101,plain,(
% 0.12/0.46 ![X0]: (X0=k|X0=m|X0=n|~element(X0,m)|~sQ5_spl)),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f63,f32])).
% 0.12/0.46 fof(f114,plain,(
% 0.12/0.46 ![X0]: (X0=m|X0=m|X0=n|~element(X0,m)|~sQ5_spl)),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f63,f101])).
% 0.12/0.46 fof(f115,plain,(
% 0.12/0.46 ![X0]: (X0=m|X0=n|~element(X0,m)|~sQ5_spl)),
% 0.12/0.46 inference(duplicate_literals_removal,[status(thm)],[f114])).
% 0.12/0.46 fof(f121,plain,(
% 0.12/0.46 n=m|element(f(n),n)|~sQ5_spl|~sQ8_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f100,f23])).
% 0.12/0.46 fof(f122,plain,(
% 0.12/0.46 n=m|element(n,f(n))|~sQ5_spl|~sQ8_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f100,f22])).
% 0.12/0.46 fof(f123,plain,(
% 0.12/0.46 n=m|~f(n)=n|~sQ5_spl|~sQ8_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f100,f21])).
% 0.12/0.46 fof(f124,plain,(
% 0.12/0.46 n=m|~f(n)=m|~sQ5_spl|~sQ8_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f100,f20])).
% 0.12/0.46 fof(f125,plain,(
% 0.12/0.46 m=m|element(m,m)|n=m|n=m|~element(m,n)|~sQ5_spl|~sQ8_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f100,f24])).
% 0.12/0.46 fof(f126,definition,(
% 0.12/0.46 sQ10_spl <=> (n=m)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f127,plain,(
% 0.12/0.46 n=m|~sQ10_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f126])).
% 0.12/0.46 fof(f129,definition,(
% 0.12/0.46 sQ11_spl <=> (element(f(n),n))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f130,plain,(
% 0.12/0.46 element(f(n),n)|~sQ11_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f129])).
% 0.12/0.46 fof(f131,plain,(
% 0.12/0.46 ~element(f(n),n)|sQ11_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f129])).
% 0.12/0.46 fof(f132,plain,(
% 0.12/0.46 sQ10_spl|sQ11_spl|~sQ5_spl|~sQ8_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f121,f126,f129,f62,f88])).
% 0.12/0.46 fof(f133,definition,(
% 0.12/0.46 sQ12_spl <=> (element(n,f(n)))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f134,plain,(
% 0.12/0.46 element(n,f(n))|~sQ12_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f133])).
% 0.12/0.46 fof(f136,plain,(
% 0.12/0.46 sQ10_spl|sQ12_spl|~sQ5_spl|~sQ8_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f122,f126,f133,f62,f88])).
% 0.12/0.46 fof(f137,definition,(
% 0.12/0.46 sQ13_spl <=> (f(n)=n)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f138,plain,(
% 0.12/0.46 f(n)=n|~sQ13_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f137])).
% 0.12/0.46 fof(f139,plain,(
% 0.12/0.46 ~f(n)=n|sQ13_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f137])).
% 0.12/0.46 fof(f140,plain,(
% 0.12/0.46 sQ10_spl|~sQ13_spl|~sQ5_spl|~sQ8_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f123,f126,f137,f62,f88])).
% 0.12/0.46 fof(f141,definition,(
% 0.12/0.46 sQ14_spl <=> (f(n)=m)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f142,plain,(
% 0.12/0.46 f(n)=m|~sQ14_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f141])).
% 0.12/0.46 fof(f144,plain,(
% 0.12/0.46 sQ10_spl|~sQ14_spl|~sQ5_spl|~sQ8_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f124,f126,f141,f62,f88])).
% 0.12/0.46 fof(f145,definition,(
% 0.12/0.46 sQ15_spl <=> (m=m)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f148,definition,(
% 0.12/0.46 sQ16_spl <=> (element(m,m))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f149,plain,(
% 0.12/0.46 element(m,m)|~sQ16_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f148])).
% 0.12/0.46 fof(f151,definition,(
% 0.12/0.46 sQ17_spl <=> (element(m,n))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f152,plain,(
% 0.12/0.46 element(m,n)|~sQ17_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f151])).
% 0.12/0.46 fof(f154,plain,(
% 0.12/0.46 sQ15_spl|sQ16_spl|sQ10_spl|~sQ17_spl|~sQ5_spl|~sQ8_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f125,f145,f148,f126,f151,f62,f88])).
% 0.12/0.46 fof(f155,plain,(
% 0.12/0.46 ![X0]: (n=n|element(n,n)|g(n)=n|X0=n|X0=g(n)|~element(g(n),X0)|~element(X0,g(n)))),
% 0.12/0.46 inference(resolution,[status(thm)],[f28,f29])).
% 0.12/0.46 fof(f156,plain,(
% 0.12/0.46 m=n|element(m,n)|g(m)=m|element(f(g(m)),g(m))),
% 0.12/0.46 inference(resolution,[status(thm)],[f28,f23])).
% 0.12/0.46 fof(f157,plain,(
% 0.12/0.46 m=n|element(m,n)|g(m)=m|element(g(m),f(g(m)))),
% 0.12/0.46 inference(resolution,[status(thm)],[f28,f22])).
% 0.12/0.46 fof(f158,plain,(
% 0.12/0.46 m=n|element(m,n)|g(m)=m|~f(g(m))=g(m)),
% 0.12/0.46 inference(resolution,[status(thm)],[f28,f21])).
% 0.12/0.46 fof(f159,plain,(
% 0.12/0.46 m=n|element(m,n)|g(m)=m|~f(g(m))=m),
% 0.12/0.46 inference(resolution,[status(thm)],[f28,f20])).
% 0.12/0.46 fof(f160,plain,(
% 0.12/0.46 ![X0]: (X0=n|element(X0,n)|X0=m|element(X0,m)|g(X0)=m|g(X0)=X0|~element(X0,g(X0)))),
% 0.12/0.46 inference(resolution,[status(thm)],[f28,f24])).
% 0.12/0.46 fof(f161,definition,(
% 0.12/0.46 sQ18_spl <=> (n=n)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f164,definition,(
% 0.12/0.46 sQ19_spl <=> (element(n,n))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f165,plain,(
% 0.12/0.46 element(n,n)|~sQ19_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f164])).
% 0.12/0.46 fof(f167,definition,(
% 0.12/0.46 sQ20_spl <=> (g(n)=n)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f168,plain,(
% 0.12/0.46 g(n)=n|~sQ20_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f167])).
% 0.12/0.46 fof(f170,definition,(
% 0.12/0.46 ![X0]: (sQ21_spl <=> (X0=n|X0=g(n)|~element(g(n),X0)|~element(X0,g(n))))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f171,plain,(
% 0.12/0.46 ![X0]: (X0=n|X0=g(n)|~element(g(n),X0)|~element(X0,g(n))|~sQ21_spl)),
% 0.12/0.46 inference(component_clause,[status(thm)],[f170])).
% 0.12/0.46 fof(f173,plain,(
% 0.12/0.46 sQ18_spl|sQ19_spl|sQ20_spl|sQ21_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f155,f161,f164,f167,f170])).
% 0.12/0.46 fof(f174,definition,(
% 0.12/0.46 sQ22_spl <=> (g(m)=m)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f175,plain,(
% 0.12/0.46 g(m)=m|~sQ22_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f174])).
% 0.12/0.46 fof(f176,plain,(
% 0.12/0.46 ~g(m)=m|sQ22_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f174])).
% 0.12/0.46 fof(f177,definition,(
% 0.12/0.46 sQ23_spl <=> (element(f(g(m)),g(m)))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f178,plain,(
% 0.12/0.46 element(f(g(m)),g(m))|~sQ23_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f177])).
% 0.12/0.46 fof(f179,plain,(
% 0.12/0.46 ~element(f(g(m)),g(m))|sQ23_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f177])).
% 0.12/0.46 fof(f180,plain,(
% 0.12/0.46 sQ10_spl|sQ17_spl|sQ22_spl|sQ23_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f156,f126,f151,f174,f177])).
% 0.12/0.46 fof(f181,definition,(
% 0.12/0.46 sQ24_spl <=> (element(g(m),f(g(m))))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f182,plain,(
% 0.12/0.46 element(g(m),f(g(m)))|~sQ24_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f181])).
% 0.12/0.46 fof(f184,plain,(
% 0.12/0.46 sQ10_spl|sQ17_spl|sQ22_spl|sQ24_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f157,f126,f151,f174,f181])).
% 0.12/0.46 fof(f185,definition,(
% 0.12/0.46 sQ25_spl <=> (f(g(m))=g(m))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f186,plain,(
% 0.12/0.46 f(g(m))=g(m)|~sQ25_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f185])).
% 0.12/0.46 fof(f187,plain,(
% 0.12/0.46 ~f(g(m))=g(m)|sQ25_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f185])).
% 0.12/0.46 fof(f188,plain,(
% 0.12/0.46 sQ10_spl|sQ17_spl|sQ22_spl|~sQ25_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f158,f126,f151,f174,f185])).
% 0.12/0.46 fof(f189,definition,(
% 0.12/0.46 sQ26_spl <=> (f(g(m))=m)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f190,plain,(
% 0.12/0.46 f(g(m))=m|~sQ26_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f189])).
% 0.12/0.46 fof(f191,plain,(
% 0.12/0.46 ~f(g(m))=m|sQ26_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f189])).
% 0.12/0.46 fof(f192,plain,(
% 0.12/0.46 sQ10_spl|sQ17_spl|sQ22_spl|~sQ26_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f159,f126,f151,f174,f189])).
% 0.12/0.46 fof(f193,plain,(
% 0.12/0.46 ![X0]: (X0=n|element(X0,n)|X0=m|element(X0,m)|g(X0)=m|~element(X0,g(X0)))),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f160,f26])).
% 0.12/0.46 fof(f194,plain,(
% 0.12/0.46 $false|~sQ10_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f127,f17])).
% 0.12/0.46 fof(f195,plain,(
% 0.12/0.46 ~sQ10_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f194])).
% 0.12/0.46 fof(f206,definition,(
% 0.12/0.46 sQ27_spl <=> (element(k,m))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f207,plain,(
% 0.12/0.46 element(k,m)|~sQ27_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f206])).
% 0.12/0.46 fof(f210,plain,(
% 0.12/0.46 g(j)=j|g(j)=k|j=n|element(j,n)),
% 0.12/0.46 inference(resolution,[status(thm)],[f19,f28])).
% 0.12/0.46 fof(f211,definition,(
% 0.12/0.46 sQ28_spl <=> (g(j)=j)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f212,plain,(
% 0.12/0.46 g(j)=j|~sQ28_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f211])).
% 0.12/0.46 fof(f213,plain,(
% 0.12/0.46 ~g(j)=j|sQ28_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f211])).
% 0.12/0.46 fof(f214,definition,(
% 0.12/0.46 sQ29_spl <=> (g(j)=k)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f215,plain,(
% 0.12/0.46 g(j)=k|~sQ29_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f214])).
% 0.12/0.46 fof(f217,definition,(
% 0.12/0.46 sQ30_spl <=> (j=n)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f218,plain,(
% 0.12/0.46 j=n|~sQ30_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f217])).
% 0.12/0.46 fof(f220,definition,(
% 0.12/0.46 sQ31_spl <=> (element(j,n))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f221,plain,(
% 0.12/0.46 element(j,n)|~sQ31_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f220])).
% 0.12/0.46 fof(f222,plain,(
% 0.12/0.46 ~element(j,n)|sQ31_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f220])).
% 0.12/0.46 fof(f223,plain,(
% 0.12/0.46 sQ28_spl|sQ29_spl|sQ30_spl|sQ31_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f210,f211,f214,f217,f220])).
% 0.12/0.46 fof(f245,plain,(
% 0.12/0.46 element(n,j)|~sQ3_spl|~sQ7_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f56,f85])).
% 0.12/0.46 fof(f255,plain,(
% 0.12/0.46 m=k|m=m|m=n|~sQ9_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f32,f93])).
% 0.12/0.46 fof(f256,plain,(
% 0.12/0.46 g(k)=k|g(k)=m|g(k)=n|k=n|element(k,n)),
% 0.12/0.46 inference(resolution,[status(thm)],[f32,f28])).
% 0.12/0.46 fof(f257,plain,(
% 0.12/0.46 sQ5_spl|sQ15_spl|sQ10_spl|~sQ9_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f255,f62,f145,f126,f92])).
% 0.12/0.46 fof(f258,definition,(
% 0.12/0.46 sQ32_spl <=> (g(k)=k)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f259,plain,(
% 0.12/0.46 g(k)=k|~sQ32_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f258])).
% 0.12/0.46 fof(f260,plain,(
% 0.12/0.46 ~g(k)=k|sQ32_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f258])).
% 0.12/0.46 fof(f261,definition,(
% 0.12/0.46 sQ33_spl <=> (g(k)=m)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f262,plain,(
% 0.12/0.46 g(k)=m|~sQ33_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f261])).
% 0.12/0.46 fof(f263,plain,(
% 0.12/0.46 ~g(k)=m|sQ33_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f261])).
% 0.12/0.46 fof(f264,definition,(
% 0.12/0.46 sQ34_spl <=> (g(k)=n)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f265,plain,(
% 0.12/0.46 g(k)=n|~sQ34_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f264])).
% 0.12/0.46 fof(f266,plain,(
% 0.12/0.46 ~g(k)=n|sQ34_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f264])).
% 0.12/0.46 fof(f267,definition,(
% 0.12/0.46 sQ35_spl <=> (element(k,n))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f268,plain,(
% 0.12/0.46 element(k,n)|~sQ35_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f267])).
% 0.12/0.46 fof(f269,plain,(
% 0.12/0.46 ~element(k,n)|sQ35_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f267])).
% 0.12/0.46 fof(f270,plain,(
% 0.12/0.46 sQ32_spl|sQ33_spl|sQ34_spl|sQ3_spl|sQ35_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f256,f258,f261,f264,f55,f267])).
% 0.12/0.46 fof(f271,plain,(
% 0.12/0.46 m=n|~sQ33_spl|~sQ34_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f262,f265])).
% 0.12/0.46 fof(f272,plain,(
% 0.12/0.46 m=k|~sQ33_spl|~sQ32_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f262,f259])).
% 0.12/0.46 fof(f273,plain,(
% 0.12/0.46 $false|sQ5_spl|~sQ33_spl|~sQ32_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f272,f64])).
% 0.12/0.46 fof(f274,plain,(
% 0.12/0.46 sQ5_spl|~sQ33_spl|~sQ32_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f273])).
% 0.12/0.46 fof(f279,plain,(
% 0.12/0.46 sQ10_spl|~sQ33_spl|~sQ34_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f271,f126,f261,f264])).
% 0.12/0.46 fof(f284,plain,(
% 0.12/0.46 m=n|element(m,n)|~sQ22_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f175,f26])).
% 0.12/0.46 fof(f289,plain,(
% 0.12/0.46 sQ10_spl|sQ17_spl|~sQ22_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f284,f126,f151,f174])).
% 0.12/0.46 fof(f294,plain,(
% 0.12/0.46 n=k|n=m|n=n|~sQ8_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f89,f32])).
% 0.12/0.46 fof(f295,plain,(
% 0.12/0.46 k=m|element(k,m)|n=m|n=k|~element(k,n)|~sQ8_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f89,f24])).
% 0.12/0.46 fof(f296,plain,(
% 0.12/0.46 sQ3_spl|sQ10_spl|sQ18_spl|~sQ8_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f294,f55,f126,f161,f88])).
% 0.12/0.46 fof(f297,plain,(
% 0.12/0.46 sQ5_spl|sQ27_spl|sQ10_spl|sQ3_spl|~sQ35_spl|~sQ8_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f295,f62,f206,f126,f55,f267,f88])).
% 0.12/0.46 fof(f315,plain,(
% 0.12/0.46 ![X0]: (X0=n|element(X0,n)|X0=m|element(X0,m)|g(X0)=m)),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f193,f27])).
% 0.12/0.46 fof(f320,definition,(
% 0.12/0.46 sQ36_spl <=> (j=m)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f321,plain,(
% 0.12/0.46 j=m|~sQ36_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f320])).
% 0.12/0.46 fof(f328,plain,(
% 0.12/0.46 element(k,m)|~sQ36_spl|~sQ7_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f321,f85])).
% 0.12/0.46 fof(f329,plain,(
% 0.12/0.46 ![X0]: (X0=j|X0=k|~element(X0,m)|~sQ36_spl)),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f321,f19])).
% 0.12/0.46 fof(f331,plain,(
% 0.12/0.46 ~element(n,m)|~sQ36_spl|sQ4_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f321,f60])).
% 0.12/0.46 fof(f332,plain,(
% 0.12/0.46 m=n|~sQ36_spl|~sQ30_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f321,f218])).
% 0.12/0.46 fof(f333,plain,(
% 0.12/0.46 $false|~sQ36_spl|~sQ30_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f332,f17])).
% 0.12/0.46 fof(f334,plain,(
% 0.12/0.46 ~sQ36_spl|~sQ30_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f333])).
% 0.12/0.46 fof(f343,plain,(
% 0.12/0.46 ![X0]: (X0=m|X0=k|~element(X0,m)|~sQ36_spl)),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f321,f329])).
% 0.12/0.46 fof(f350,plain,(
% 0.12/0.46 g(m)=j|~sQ36_spl|~sQ28_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f321,f212])).
% 0.12/0.46 fof(f364,definition,(
% 0.12/0.46 sQ38_spl <=> (g(m)=k)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f365,plain,(
% 0.12/0.46 g(m)=k|~sQ38_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f364])).
% 0.12/0.46 fof(f368,plain,(
% 0.12/0.46 m=k|~sQ22_spl|~sQ38_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f175,f365])).
% 0.12/0.46 fof(f369,plain,(
% 0.12/0.46 $false|sQ5_spl|~sQ22_spl|~sQ38_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f368,f64])).
% 0.12/0.46 fof(f370,plain,(
% 0.12/0.46 sQ5_spl|~sQ22_spl|~sQ38_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f369])).
% 0.12/0.46 fof(f406,plain,(
% 0.12/0.46 n=n|element(n,n)|~sQ20_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f168,f25])).
% 0.12/0.46 fof(f412,plain,(
% 0.12/0.46 sQ18_spl|sQ19_spl|~sQ20_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f406,f161,f164,f167])).
% 0.12/0.46 fof(f418,plain,(
% 0.12/0.46 n=j|n=k|~sQ4_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f19,f59])).
% 0.12/0.46 fof(f420,plain,(
% 0.12/0.46 sQ30_spl|sQ3_spl|~sQ4_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f418,f217,f55,f58])).
% 0.12/0.46 fof(f442,definition,(
% 0.12/0.46 ![X0]: (sQ40_spl <=> (X0=n|X0=k|~element(k,X0)|~element(X0,k)))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f443,plain,(
% 0.12/0.46 ![X0]: (X0=n|X0=k|~element(k,X0)|~element(X0,k)|~sQ40_spl)),
% 0.12/0.46 inference(component_clause,[status(thm)],[f442])).
% 0.12/0.46 fof(f446,definition,(
% 0.12/0.46 sQ41_spl <=> (element(n,m))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f447,plain,(
% 0.12/0.46 element(n,m)|~sQ41_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f446])).
% 0.12/0.46 fof(f448,plain,(
% 0.12/0.46 ~element(n,m)|sQ41_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f446])).
% 0.12/0.46 fof(f461,definition,(
% 0.12/0.46 sQ42_spl <=> (element(j,k))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f462,plain,(
% 0.12/0.46 element(j,k)|~sQ42_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f461])).
% 0.12/0.46 fof(f463,plain,(
% 0.12/0.46 ~element(j,k)|sQ42_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f461])).
% 0.12/0.46 fof(f498,definition,(
% 0.12/0.46 ![X0]: (sQ43_spl <=> (X0=n|X0=n|~element(n,X0)|~element(X0,n)))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f499,plain,(
% 0.12/0.46 ![X0]: (X0=n|X0=n|~element(n,X0)|~element(X0,n)|~sQ43_spl)),
% 0.12/0.46 inference(component_clause,[status(thm)],[f498])).
% 0.12/0.46 fof(f503,plain,(
% 0.12/0.46 g(m)=m|g(m)=n|m=n|element(m,n)|~sQ5_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f115,f28])).
% 0.12/0.46 fof(f504,definition,(
% 0.12/0.46 sQ44_spl <=> (g(m)=n)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f505,plain,(
% 0.12/0.46 g(m)=n|~sQ44_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f504])).
% 0.12/0.46 fof(f506,plain,(
% 0.12/0.46 ~g(m)=n|sQ44_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f504])).
% 0.12/0.46 fof(f507,plain,(
% 0.12/0.46 sQ22_spl|sQ44_spl|sQ10_spl|sQ17_spl|~sQ5_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f503,f174,f504,f126,f151,f62])).
% 0.12/0.46 fof(f508,plain,(
% 0.12/0.46 ![X0]: (X0=n|~element(n,X0)|~element(X0,n)|~sQ43_spl)),
% 0.12/0.46 inference(duplicate_literals_removal,[status(thm)],[f499])).
% 0.12/0.46 fof(f509,plain,(
% 0.12/0.46 ~f(n)=m|~sQ44_spl|sQ26_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f505,f191])).
% 0.12/0.46 fof(f510,plain,(
% 0.12/0.46 ~f(n)=g(m)|~sQ44_spl|sQ25_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f505,f187])).
% 0.12/0.46 fof(f511,plain,(
% 0.12/0.46 ~f(n)=n|~sQ44_spl|sQ25_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f505,f510])).
% 0.12/0.46 fof(f517,plain,(
% 0.12/0.46 $false|~sQ41_spl|~sQ36_spl|sQ4_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f331,f447])).
% 0.12/0.46 fof(f518,plain,(
% 0.12/0.46 ~sQ41_spl|~sQ36_spl|sQ4_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f517])).
% 0.12/0.46 fof(f537,plain,(
% 0.12/0.46 ![X0]: (m=n|X0=n|X0=m|~element(m,X0)|~element(X0,m)|~sQ17_spl)),
% 0.12/0.46 inference(resolution,[status(thm)],[f152,f29])).
% 0.12/0.46 fof(f539,definition,(
% 0.12/0.46 ![X0]: (sQ45_spl <=> (X0=n|X0=m|~element(m,X0)|~element(X0,m)))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f540,plain,(
% 0.12/0.46 ![X0]: (X0=n|X0=m|~element(m,X0)|~element(X0,m)|~sQ45_spl)),
% 0.12/0.46 inference(component_clause,[status(thm)],[f539])).
% 0.12/0.46 fof(f542,plain,(
% 0.12/0.46 sQ10_spl|sQ45_spl|~sQ17_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f537,f126,f539,f151])).
% 0.12/0.46 fof(f544,plain,(
% 0.12/0.46 ![X0]: (f(n)=n|X0=n|X0=f(n)|~element(f(n),X0)|~element(X0,f(n))|~sQ11_spl)),
% 0.12/0.46 inference(resolution,[status(thm)],[f130,f29])).
% 0.12/0.46 fof(f545,plain,(
% 0.12/0.46 n=m|element(n,m)|f(n)=m|f(n)=n|~element(n,f(n))|~sQ11_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f130,f24])).
% 0.12/0.46 fof(f546,definition,(
% 0.12/0.46 ![X0]: (sQ46_spl <=> (X0=n|X0=f(n)|~element(f(n),X0)|~element(X0,f(n))))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f549,plain,(
% 0.12/0.46 sQ13_spl|sQ46_spl|~sQ11_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f544,f137,f546,f129])).
% 0.12/0.46 fof(f550,plain,(
% 0.12/0.46 sQ10_spl|sQ41_spl|sQ14_spl|sQ13_spl|~sQ12_spl|~sQ11_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f545,f126,f446,f141,f137,f133,f129])).
% 0.12/0.46 fof(f552,plain,(
% 0.12/0.46 ~sQ13_spl|~sQ44_spl|sQ25_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f511,f137,f504,f185])).
% 0.12/0.46 fof(f556,plain,(
% 0.12/0.46 ~sQ14_spl|~sQ44_spl|sQ26_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f509,f141,f504,f189])).
% 0.12/0.46 fof(f557,plain,(
% 0.12/0.46 m=n|~sQ14_spl|~sQ13_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f142,f138])).
% 0.12/0.46 fof(f561,plain,(
% 0.12/0.46 sQ10_spl|~sQ14_spl|~sQ13_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f557,f126,f141,f137])).
% 0.12/0.46 fof(f564,plain,(
% 0.12/0.46 m=g(m)|~sQ26_spl|~sQ25_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f190,f186])).
% 0.12/0.46 fof(f565,plain,(
% 0.12/0.46 $false|sQ22_spl|~sQ26_spl|~sQ25_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f564,f176])).
% 0.12/0.46 fof(f566,plain,(
% 0.12/0.46 sQ22_spl|~sQ26_spl|~sQ25_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f565])).
% 0.12/0.46 fof(f580,definition,(
% 0.12/0.46 sQ49_spl <=> (f(j)=j)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f582,plain,(
% 0.12/0.46 ~f(j)=j|sQ49_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f580])).
% 0.12/0.46 fof(f589,plain,(
% 0.12/0.46 m=j|m=k|~sQ6_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f66,f19])).
% 0.12/0.46 fof(f591,plain,(
% 0.12/0.46 sQ36_spl|sQ5_spl|~sQ6_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f589,f320,f62,f65])).
% 0.12/0.46 fof(f604,plain,(
% 0.12/0.46 ~element(m,k)|~sQ36_spl|sQ42_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f321,f463])).
% 0.12/0.46 fof(f605,plain,(
% 0.12/0.46 g(m)=m|~sQ36_spl|~sQ28_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f321,f350])).
% 0.12/0.46 fof(f606,plain,(
% 0.12/0.46 $false|sQ22_spl|~sQ36_spl|~sQ28_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f605,f176])).
% 0.12/0.46 fof(f607,plain,(
% 0.12/0.46 sQ22_spl|~sQ36_spl|~sQ28_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f606])).
% 0.12/0.46 fof(f626,plain,(
% 0.12/0.46 k=m|element(f(k),k)|~sQ27_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f207,f23])).
% 0.12/0.46 fof(f627,plain,(
% 0.12/0.46 k=m|element(k,f(k))|~sQ27_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f207,f22])).
% 0.12/0.46 fof(f628,plain,(
% 0.12/0.46 k=m|~f(k)=k|~sQ27_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f207,f21])).
% 0.12/0.46 fof(f629,plain,(
% 0.12/0.46 k=m|~f(k)=m|~sQ27_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f207,f20])).
% 0.12/0.46 fof(f631,definition,(
% 0.12/0.46 sQ51_spl <=> (element(f(k),k))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f632,plain,(
% 0.12/0.46 element(f(k),k)|~sQ51_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f631])).
% 0.12/0.46 fof(f634,plain,(
% 0.12/0.46 sQ5_spl|sQ51_spl|~sQ27_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f626,f62,f631,f206])).
% 0.12/0.46 fof(f635,definition,(
% 0.12/0.46 sQ52_spl <=> (element(k,f(k)))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f636,plain,(
% 0.12/0.46 element(k,f(k))|~sQ52_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f635])).
% 0.12/0.46 fof(f638,plain,(
% 0.12/0.46 sQ5_spl|sQ52_spl|~sQ27_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f627,f62,f635,f206])).
% 0.12/0.46 fof(f639,definition,(
% 0.12/0.46 sQ53_spl <=> (f(k)=k)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f642,plain,(
% 0.12/0.46 sQ5_spl|~sQ53_spl|~sQ27_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f628,f62,f639,f206])).
% 0.12/0.46 fof(f643,definition,(
% 0.12/0.46 sQ54_spl <=> (f(k)=m)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f645,plain,(
% 0.12/0.46 ~f(k)=m|sQ54_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f643])).
% 0.12/0.46 fof(f646,plain,(
% 0.12/0.46 sQ5_spl|~sQ54_spl|~sQ27_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f629,f62,f643,f206])).
% 0.12/0.46 fof(f651,plain,(
% 0.12/0.46 element(m,n)|~sQ3_spl|~sQ9_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f56,f93])).
% 0.12/0.46 fof(f653,plain,(
% 0.12/0.46 ![X0]: (X0=k|X0=m|X0=n|~element(X0,n)|~sQ3_spl)),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f56,f32])).
% 0.12/0.46 fof(f655,plain,(
% 0.12/0.46 element(f(k),n)|~sQ3_spl|~sQ51_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f56,f632])).
% 0.12/0.46 fof(f656,plain,(
% 0.12/0.46 element(k,f(n))|~sQ3_spl|~sQ52_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f56,f636])).
% 0.12/0.46 fof(f659,plain,(
% 0.12/0.46 g(j)=n|~sQ3_spl|~sQ29_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f56,f215])).
% 0.12/0.46 fof(f660,plain,(
% 0.12/0.46 ~element(j,n)|~sQ3_spl|sQ42_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f56,f463])).
% 0.12/0.46 fof(f662,plain,(
% 0.12/0.46 ~element(n,n)|~sQ3_spl|sQ8_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f56,f90])).
% 0.12/0.46 fof(f667,plain,(
% 0.12/0.46 sQ27_spl|~sQ36_spl|~sQ7_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f328,f206,f320,f84])).
% 0.12/0.46 fof(f671,plain,(
% 0.12/0.46 ~element(m,n)|~sQ3_spl|~sQ36_spl|sQ42_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f56,f604])).
% 0.12/0.46 fof(f672,plain,(
% 0.12/0.46 $false|~sQ17_spl|~sQ3_spl|~sQ36_spl|sQ42_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f671,f152])).
% 0.12/0.46 fof(f673,plain,(
% 0.12/0.46 ~sQ17_spl|~sQ3_spl|~sQ36_spl|sQ42_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f672])).
% 0.12/0.46 fof(f695,plain,(
% 0.12/0.46 sQ17_spl|~sQ3_spl|~sQ9_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f651,f151,f55,f92])).
% 0.12/0.46 fof(f696,plain,(
% 0.12/0.46 ![X0]: (X0=n|X0=m|X0=n|~element(X0,n)|~sQ3_spl)),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f56,f653])).
% 0.12/0.46 fof(f698,plain,(
% 0.12/0.46 ![X0]: (X0=n|X0=m|~element(X0,n)|~sQ3_spl)),
% 0.12/0.46 inference(duplicate_literals_removal,[status(thm)],[f696])).
% 0.12/0.46 fof(f700,plain,(
% 0.12/0.46 element(f(n),n)|~sQ3_spl|~sQ51_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f56,f655])).
% 0.12/0.46 fof(f701,plain,(
% 0.12/0.46 element(n,f(n))|~sQ3_spl|~sQ52_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f56,f656])).
% 0.12/0.46 fof(f703,plain,(
% 0.12/0.46 g(m)=n|~sQ36_spl|~sQ3_spl|~sQ29_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f321,f659])).
% 0.12/0.46 fof(f710,plain,(
% 0.12/0.46 ~n=n|~sQ36_spl|~sQ3_spl|~sQ29_spl|sQ44_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f703,f506])).
% 0.12/0.46 fof(f711,plain,(
% 0.12/0.46 $false|~sQ36_spl|~sQ3_spl|~sQ29_spl|sQ44_spl),
% 0.12/0.46 inference(trivial_equality_resolution,[status(thm)],[f710])).
% 0.12/0.46 fof(f712,plain,(
% 0.12/0.46 ~sQ36_spl|~sQ3_spl|~sQ29_spl|sQ44_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f711])).
% 0.12/0.46 fof(f717,plain,(
% 0.12/0.46 ~element(m,n)|~sQ30_spl|sQ6_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f218,f67])).
% 0.12/0.46 fof(f718,plain,(
% 0.12/0.46 $false|~sQ17_spl|~sQ30_spl|sQ6_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f717,f152])).
% 0.12/0.46 fof(f719,plain,(
% 0.12/0.46 ~sQ17_spl|~sQ30_spl|sQ6_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f718])).
% 0.12/0.46 fof(f758,plain,(
% 0.12/0.46 n=m|element(f(n),n)|~sQ41_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f447,f23])).
% 0.12/0.46 fof(f759,plain,(
% 0.12/0.46 n=m|element(n,f(n))|~sQ41_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f447,f22])).
% 0.12/0.46 fof(f760,plain,(
% 0.12/0.46 n=m|~f(n)=n|~sQ41_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f447,f21])).
% 0.12/0.46 fof(f761,plain,(
% 0.12/0.46 n=m|~f(n)=m|~sQ41_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f447,f20])).
% 0.12/0.46 fof(f763,plain,(
% 0.12/0.46 sQ10_spl|sQ11_spl|~sQ41_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f758,f126,f129,f446])).
% 0.12/0.46 fof(f764,plain,(
% 0.12/0.46 sQ10_spl|sQ12_spl|~sQ41_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f759,f126,f133,f446])).
% 0.12/0.46 fof(f765,plain,(
% 0.12/0.46 sQ10_spl|~sQ13_spl|~sQ41_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f760,f126,f137,f446])).
% 0.12/0.46 fof(f766,plain,(
% 0.12/0.46 sQ10_spl|~sQ14_spl|~sQ41_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f761,f126,f141,f446])).
% 0.12/0.46 fof(f781,plain,(
% 0.12/0.46 ![X0]: (X0=n|X0=m|element(X0,m)|g(X0)=m|n=m|element(n,m)|X0=m|X0=n|~element(n,X0))),
% 0.12/0.46 inference(resolution,[status(thm)],[f315,f24])).
% 0.12/0.46 fof(f785,definition,(
% 0.12/0.46 ![X0]: (sQ55_spl <=> (X0=n|X0=m|element(X0,m)|g(X0)=m|X0=m|X0=n|~element(n,X0)))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f788,plain,(
% 0.12/0.46 sQ55_spl|sQ10_spl|sQ41_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f781,f785,f126,f446])).
% 0.12/0.46 fof(f802,plain,(
% 0.12/0.46 f(g(m))=m|element(f(g(m)),m)|g(m)=m|g(m)=f(g(m))|~element(f(g(m)),g(m))|~sQ24_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f182,f24])).
% 0.12/0.46 fof(f803,definition,(
% 0.12/0.46 sQ57_spl <=> (element(f(g(m)),m))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f804,plain,(
% 0.12/0.46 element(f(g(m)),m)|~sQ57_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f803])).
% 0.12/0.46 fof(f806,plain,(
% 0.12/0.46 sQ26_spl|sQ57_spl|sQ22_spl|sQ25_spl|~sQ23_spl|~sQ24_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f802,f189,f803,f174,f185,f177,f181])).
% 0.12/0.46 fof(f807,plain,(
% 0.12/0.46 m=n|m=k|~element(m,k)|~sQ40_spl|~sQ27_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f443,f207])).
% 0.12/0.46 fof(f811,plain,(
% 0.12/0.46 sQ10_spl|sQ5_spl|~sQ9_spl|~sQ40_spl|~sQ27_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f807,f126,f62,f92,f442,f206])).
% 0.12/0.46 fof(f832,definition,(
% 0.12/0.46 sQ59_spl <=> (element(f(m),m))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f833,plain,(
% 0.12/0.46 element(f(m),m)|~sQ59_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f832])).
% 0.12/0.46 fof(f840,definition,(
% 0.12/0.46 sQ61_spl <=> (f(m)=m)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f841,plain,(
% 0.12/0.46 f(m)=m|~sQ61_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f840])).
% 0.12/0.46 fof(f842,plain,(
% 0.12/0.46 ~f(m)=m|sQ61_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f840])).
% 0.12/0.46 fof(f850,definition,(
% 0.12/0.46 sQ62_spl <=> (g(n)=m)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f851,plain,(
% 0.12/0.46 g(n)=m|~sQ62_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f850])).
% 0.12/0.46 fof(f854,definition,(
% 0.12/0.46 sQ63_spl <=> (element(g(n),n))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f856,plain,(
% 0.12/0.46 ~element(g(n),n)|sQ63_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f854])).
% 0.12/0.46 fof(f858,plain,(
% 0.12/0.46 ~element(m,n)|~sQ62_spl|sQ63_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f851,f856])).
% 0.12/0.46 fof(f864,plain,(
% 0.12/0.46 ~sQ17_spl|~sQ62_spl|sQ63_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f858,f151,f850,f854])).
% 0.12/0.46 fof(f867,plain,(
% 0.12/0.46 f(n)=m|element(f(n),m)|n=m|n=f(n)|~element(f(n),n)|~sQ12_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f134,f24])).
% 0.12/0.46 fof(f868,definition,(
% 0.12/0.46 sQ64_spl <=> (element(f(n),m))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f869,plain,(
% 0.12/0.46 element(f(n),m)|~sQ64_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f868])).
% 0.12/0.46 fof(f871,plain,(
% 0.12/0.46 sQ14_spl|sQ64_spl|sQ10_spl|sQ13_spl|~sQ11_spl|~sQ12_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f867,f141,f868,f126,f137,f129,f133])).
% 0.12/0.46 fof(f887,definition,(
% 0.12/0.46 sQ65_spl <=> (g(f(n))=m)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f888,plain,(
% 0.12/0.46 g(f(n))=m|~sQ65_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f887])).
% 0.12/0.46 fof(f893,plain,(
% 0.12/0.46 g(n)=m|~sQ13_spl|~sQ65_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f138,f888])).
% 0.12/0.46 fof(f894,plain,(
% 0.12/0.46 element(n,m)|~sQ13_spl|~sQ64_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f138,f869])).
% 0.12/0.46 fof(f896,plain,(
% 0.12/0.46 sQ62_spl|~sQ13_spl|~sQ65_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f893,f850,f137,f887])).
% 0.12/0.46 fof(f897,plain,(
% 0.12/0.46 sQ41_spl|~sQ13_spl|~sQ64_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f894,f446,f137,f868])).
% 0.12/0.46 fof(f902,plain,(
% 0.12/0.46 j=n|element(j,n)|~k=n|~sQ29_spl),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f215,f25])).
% 0.12/0.46 fof(f904,plain,(
% 0.12/0.46 j=n|element(j,n)|element(j,k)|~sQ29_spl),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f215,f27])).
% 0.12/0.46 fof(f910,plain,(
% 0.12/0.46 sQ30_spl|sQ31_spl|~sQ3_spl|~sQ29_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f902,f217,f220,f55,f214])).
% 0.12/0.46 fof(f912,plain,(
% 0.12/0.46 sQ30_spl|sQ31_spl|sQ42_spl|~sQ29_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f904,f217,f220,f461,f214])).
% 0.12/0.46 fof(f915,plain,(
% 0.12/0.46 k=n|element(k,n)|~sQ32_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f259,f26])).
% 0.12/0.46 fof(f921,plain,(
% 0.12/0.46 sQ3_spl|sQ35_spl|~sQ32_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f915,f55,f267,f258])).
% 0.12/0.46 fof(f931,plain,(
% 0.12/0.46 n=n|n=g(n)|~element(n,g(n))|n=n|element(n,n)|~sQ21_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f171,f28])).
% 0.12/0.46 fof(f934,definition,(
% 0.12/0.46 sQ68_spl <=> (element(m,g(n)))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f936,plain,(
% 0.12/0.46 ~element(m,g(n))|sQ68_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f934])).
% 0.12/0.46 fof(f938,definition,(
% 0.12/0.46 sQ69_spl <=> (element(n,g(n)))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f940,plain,(
% 0.12/0.46 ~element(n,g(n))|sQ69_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f938])).
% 0.12/0.46 fof(f941,plain,(
% 0.12/0.46 sQ18_spl|sQ20_spl|~sQ69_spl|sQ19_spl|~sQ21_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f931,f161,f167,f938,f164,f170])).
% 0.12/0.46 fof(f942,definition,(
% 0.12/0.46 sQ70_spl <=> (element(g(n),m))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f943,plain,(
% 0.12/0.46 element(g(n),m)|~sQ70_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f942])).
% 0.12/0.46 fof(f945,definition,(
% 0.12/0.46 sQ71_spl <=> (g(g(n))=m)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f946,plain,(
% 0.12/0.46 g(g(n))=m|~sQ71_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f945])).
% 0.12/0.46 fof(f949,definition,(
% 0.12/0.46 sQ72_spl <=> (g(g(n))=n)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f950,plain,(
% 0.12/0.46 g(g(n))=n|~sQ72_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f949])).
% 0.12/0.46 fof(f952,definition,(
% 0.12/0.46 sQ73_spl <=> (g(g(n))=g(n))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f953,plain,(
% 0.12/0.46 g(g(n))=g(n)|~sQ73_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f952])).
% 0.12/0.46 fof(f955,definition,(
% 0.12/0.46 sQ74_spl <=> (element(g(g(n)),g(n)))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f957,plain,(
% 0.12/0.46 ~element(g(g(n)),g(n))|sQ74_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f955])).
% 0.12/0.46 fof(f960,plain,(
% 0.12/0.46 n=g(n)|~sQ72_spl|~sQ73_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f950,f953])).
% 0.12/0.46 fof(f961,plain,(
% 0.12/0.46 m=n|~sQ71_spl|~sQ72_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f946,f950])).
% 0.12/0.46 fof(f962,plain,(
% 0.12/0.46 sQ20_spl|~sQ72_spl|~sQ73_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f960,f167,f949,f952])).
% 0.12/0.46 fof(f963,plain,(
% 0.12/0.46 sQ10_spl|~sQ71_spl|~sQ72_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f961,f126,f945,f949])).
% 0.12/0.46 fof(f966,plain,(
% 0.12/0.46 ![X0]: (j=n|X0=n|X0=j|~element(j,X0)|~element(X0,j)|~sQ31_spl)),
% 0.12/0.46 inference(resolution,[status(thm)],[f221,f29])).
% 0.12/0.46 fof(f968,definition,(
% 0.12/0.46 ![X0]: (sQ75_spl <=> (X0=n|X0=j|~element(j,X0)|~element(X0,j)))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f971,plain,(
% 0.12/0.46 sQ30_spl|sQ75_spl|~sQ31_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f966,f217,f968,f220])).
% 0.12/0.46 fof(f977,plain,(
% 0.12/0.46 j=k|j=m|j=n|~sQ42_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f462,f32])).
% 0.12/0.46 fof(f978,plain,(
% 0.12/0.46 k=m|element(k,m)|j=m|j=k|~element(k,j)|~sQ42_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f462,f24])).
% 0.12/0.46 fof(f979,plain,(
% 0.12/0.46 sQ0_spl|sQ36_spl|sQ30_spl|~sQ42_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f977,f37,f320,f217,f461])).
% 0.12/0.46 fof(f980,plain,(
% 0.12/0.46 sQ5_spl|sQ27_spl|sQ36_spl|sQ0_spl|~sQ7_spl|~sQ42_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f978,f62,f206,f320,f37,f84,f461])).
% 0.12/0.46 fof(f993,plain,(
% 0.12/0.46 g(m)=k|~sQ36_spl|~sQ29_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f321,f215])).
% 0.12/0.46 fof(f994,plain,(
% 0.12/0.46 ~element(m,n)|~sQ36_spl|sQ31_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f321,f222])).
% 0.12/0.46 fof(f1005,plain,(
% 0.12/0.46 sQ38_spl|~sQ36_spl|~sQ29_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f993,f364,f320,f214])).
% 0.12/0.46 fof(f1006,plain,(
% 0.12/0.46 ~sQ17_spl|~sQ36_spl|sQ31_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f994,f151,f320,f220])).
% 0.12/0.46 fof(f1023,plain,(
% 0.12/0.46 ![X0]: (k=n|X0=n|X0=k|~element(k,X0)|~element(X0,k)|~sQ35_spl)),
% 0.12/0.46 inference(resolution,[status(thm)],[f268,f29])).
% 0.12/0.46 fof(f1025,plain,(
% 0.12/0.46 sQ3_spl|sQ40_spl|~sQ35_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1023,f55,f442,f267])).
% 0.12/0.46 fof(f1038,plain,(
% 0.12/0.46 ![X0]: (X0=n|X0=m|element(X0,m)|g(X0)=m|~sQ3_spl)),
% 0.12/0.46 inference(backward_subsumption_resolution,[status(thm)],[f315,f698])).
% 0.12/0.46 fof(f1043,plain,(
% 0.12/0.46 ~sQ31_spl|~sQ3_spl|sQ42_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f660,f220,f55,f461])).
% 0.12/0.46 fof(f1047,plain,(
% 0.12/0.46 ~g(n)=k|~sQ3_spl|sQ32_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f56,f260])).
% 0.12/0.46 fof(f1048,plain,(
% 0.12/0.46 ~g(n)=n|~sQ3_spl|sQ32_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f56,f1047])).
% 0.12/0.46 fof(f1060,plain,(
% 0.12/0.46 ~sQ19_spl|~sQ3_spl|sQ8_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f662,f164,f55,f88])).
% 0.12/0.46 fof(f1062,plain,(
% 0.12/0.46 $false|~sQ3_spl|sQ32_spl|~sQ20_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f168,f1048])).
% 0.12/0.46 fof(f1063,plain,(
% 0.12/0.46 ~sQ3_spl|sQ32_spl|~sQ20_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f1062])).
% 0.12/0.46 fof(f1064,plain,(
% 0.12/0.46 $false|~sQ3_spl|~sQ51_spl|sQ11_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f131,f700])).
% 0.12/0.46 fof(f1065,plain,(
% 0.12/0.46 ~sQ3_spl|~sQ51_spl|sQ11_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f1064])).
% 0.12/0.46 fof(f1067,plain,(
% 0.12/0.46 element(n,m)|~sQ3_spl|~sQ27_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f56,f207])).
% 0.12/0.46 fof(f1068,plain,(
% 0.12/0.46 $false|~sQ3_spl|~sQ27_spl|sQ41_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f448,f1067])).
% 0.12/0.46 fof(f1069,plain,(
% 0.12/0.46 ~sQ3_spl|~sQ27_spl|sQ41_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f1068])).
% 0.12/0.46 fof(f1070,plain,(
% 0.12/0.46 ![X0]: (X0=n|X0=m|g(X0)=m|~sQ36_spl|~sQ3_spl)),
% 0.12/0.46 inference(backward_subsumption_resolution,[status(thm)],[f1038,f1071])).
% 0.12/0.46 fof(f1071,plain,(
% 0.12/0.46 ![X0]: (X0=m|X0=n|~element(X0,m)|~sQ3_spl|~sQ36_spl)),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f56,f343])).
% 0.12/0.46 fof(f1095,plain,(
% 0.12/0.46 m=n|m=m|~sQ3_spl|~sQ17_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f698,f152])).
% 0.12/0.46 fof(f1097,plain,(
% 0.12/0.46 sQ10_spl|sQ15_spl|~sQ3_spl|~sQ17_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1095,f126,f145,f55,f151])).
% 0.12/0.46 fof(f1100,plain,(
% 0.12/0.46 ~element(g(g(n)),m)|~sQ62_spl|sQ74_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f851,f957])).
% 0.12/0.46 fof(f1102,plain,(
% 0.12/0.46 ~element(m,m)|~sQ62_spl|sQ68_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f851,f936])).
% 0.12/0.46 fof(f1103,plain,(
% 0.12/0.46 element(m,m)|~sQ62_spl|~sQ70_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f851,f943])).
% 0.12/0.46 fof(f1112,plain,(
% 0.12/0.46 ~element(g(m),m)|~sQ62_spl|sQ74_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f851,f1100])).
% 0.12/0.46 fof(f1113,plain,(
% 0.12/0.46 $false|sQ68_spl|~sQ62_spl|~sQ70_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1103,f1102])).
% 0.12/0.46 fof(f1114,plain,(
% 0.12/0.46 sQ68_spl|~sQ62_spl|~sQ70_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f1113])).
% 0.12/0.46 fof(f1153,plain,(
% 0.12/0.46 g(m)=m|element(g(m),m)|f(g(m))=m|f(g(m))=g(m)|~element(g(m),f(g(m)))|~sQ23_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f178,f24])).
% 0.12/0.46 fof(f1154,definition,(
% 0.12/0.46 sQ76_spl <=> (element(g(m),m))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f1155,plain,(
% 0.12/0.46 element(g(m),m)|~sQ76_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f1154])).
% 0.12/0.46 fof(f1157,plain,(
% 0.12/0.46 sQ22_spl|sQ76_spl|sQ26_spl|sQ25_spl|~sQ24_spl|~sQ23_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1153,f174,f1154,f189,f185,f181,f177])).
% 0.12/0.46 fof(f1171,plain,(
% 0.12/0.46 $false|~sQ76_spl|~sQ62_spl|sQ74_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1112,f1155])).
% 0.12/0.46 fof(f1172,plain,(
% 0.12/0.46 ~sQ76_spl|~sQ62_spl|sQ74_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f1171])).
% 0.12/0.46 fof(f1175,plain,(
% 0.12/0.46 k=n|k=m|element(k,m)|g(k)=m|sQ35_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f269,f315])).
% 0.12/0.46 fof(f1176,plain,(
% 0.12/0.46 sQ3_spl|sQ5_spl|sQ27_spl|sQ33_spl|sQ35_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1175,f55,f62,f206,f261,f267])).
% 0.12/0.46 fof(f1196,plain,(
% 0.12/0.46 k=n|element(k,n)|~sQ34_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f265,f25])).
% 0.12/0.46 fof(f1202,plain,(
% 0.12/0.46 sQ3_spl|sQ35_spl|~sQ34_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1196,f55,f267,f264])).
% 0.12/0.46 fof(f1212,plain,(
% 0.12/0.46 ~f(n)=m|~sQ3_spl|sQ54_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f56,f645])).
% 0.12/0.46 fof(f1272,plain,(
% 0.12/0.46 ~sQ14_spl|~sQ3_spl|sQ54_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1212,f141,f55,f643])).
% 0.12/0.46 fof(f1274,plain,(
% 0.12/0.46 element(n,m)|~sQ14_spl|~sQ3_spl|~sQ52_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f142,f701])).
% 0.12/0.46 fof(f1280,plain,(
% 0.12/0.46 sQ41_spl|~sQ14_spl|~sQ3_spl|~sQ52_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1274,f446,f141,f55,f635])).
% 0.12/0.46 fof(f1289,plain,(
% 0.12/0.46 element(n,m)|~sQ36_spl|~sQ3_spl|~sQ7_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f321,f245])).
% 0.12/0.46 fof(f1291,plain,(
% 0.12/0.46 ~g(j)=m|~sQ36_spl|sQ28_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f321,f213])).
% 0.12/0.46 fof(f1299,plain,(
% 0.12/0.46 ~g(m)=m|~sQ36_spl|sQ28_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f321,f1291])).
% 0.12/0.46 fof(f1306,plain,(
% 0.12/0.46 n=n|n=m|~sQ19_spl|~sQ3_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f165,f698])).
% 0.12/0.46 fof(f1308,plain,(
% 0.12/0.46 n=m|element(n,m)|n=m|n=n|~element(n,n)|~sQ19_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f165,f24])).
% 0.12/0.46 fof(f1309,plain,(
% 0.12/0.46 sQ18_spl|sQ10_spl|~sQ19_spl|~sQ3_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1306,f161,f126,f164,f55])).
% 0.12/0.46 fof(f1311,plain,(
% 0.12/0.46 sQ10_spl|sQ41_spl|sQ18_spl|~sQ19_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1308,f126,f446,f161,f164])).
% 0.12/0.46 fof(f1373,plain,(
% 0.12/0.46 k=n|element(k,n)|element(k,m)|~sQ33_spl),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f262,f27])).
% 0.12/0.46 fof(f1378,plain,(
% 0.12/0.46 sQ3_spl|sQ35_spl|sQ27_spl|~sQ33_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1373,f55,f267,f206,f261])).
% 0.12/0.46 fof(f1404,plain,(
% 0.12/0.46 ~g(n)=m|~sQ3_spl|sQ33_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f56,f263])).
% 0.12/0.46 fof(f1422,plain,(
% 0.12/0.46 n=m|~f(n)=n|~sQ36_spl|~sQ3_spl|~sQ7_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f1289,f21])).
% 0.12/0.46 fof(f1428,plain,(
% 0.12/0.46 sQ10_spl|~sQ13_spl|~sQ36_spl|~sQ3_spl|~sQ7_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1422,f126,f137,f320,f55,f84])).
% 0.12/0.46 fof(f1451,definition,(
% 0.12/0.46 sQ77_spl <=> (g(j)=n)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f1452,plain,(
% 0.12/0.46 g(j)=n|~sQ77_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f1451])).
% 0.12/0.46 fof(f1455,plain,(
% 0.12/0.46 n=j|~sQ77_spl|~sQ28_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f1452,f212])).
% 0.12/0.46 fof(f1456,plain,(
% 0.12/0.46 sQ30_spl|~sQ77_spl|~sQ28_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1455,f217,f1451,f211])).
% 0.12/0.46 fof(f1469,definition,(
% 0.12/0.46 ![X0]: (sQ78_spl <=> (X0=n|X0=m|g(X0)=m|X0=m|X0=m|~element(m,X0)))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f1470,plain,(
% 0.12/0.46 ![X0]: (X0=n|X0=m|g(X0)=m|X0=m|X0=m|~element(m,X0)|~sQ78_spl)),
% 0.12/0.46 inference(component_clause,[status(thm)],[f1469])).
% 0.12/0.46 fof(f1473,plain,(
% 0.12/0.46 ![X0]: (X0=n|X0=m|g(X0)=m|~element(m,X0)|~sQ78_spl)),
% 0.12/0.46 inference(duplicate_literals_removal,[status(thm)],[f1470])).
% 0.12/0.46 fof(f1489,plain,(
% 0.12/0.46 ~sQ62_spl|~sQ3_spl|sQ33_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1404,f850,f55,f261])).
% 0.12/0.46 fof(f1500,plain,(
% 0.12/0.46 f(m)=m|~sQ22_spl|~sQ26_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f175,f190])).
% 0.12/0.46 fof(f1501,plain,(
% 0.12/0.46 $false|sQ61_spl|~sQ22_spl|~sQ26_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1500,f842])).
% 0.12/0.46 fof(f1502,plain,(
% 0.12/0.46 sQ61_spl|~sQ22_spl|~sQ26_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f1501])).
% 0.12/0.46 fof(f1503,plain,(
% 0.12/0.46 ~element(f(m),g(m))|~sQ22_spl|sQ23_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f175,f179])).
% 0.12/0.46 fof(f1504,plain,(
% 0.12/0.46 ~element(f(m),m)|~sQ22_spl|sQ23_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f175,f1503])).
% 0.12/0.46 fof(f1505,plain,(
% 0.12/0.46 $false|~sQ59_spl|~sQ22_spl|sQ23_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1504,f833])).
% 0.12/0.46 fof(f1506,plain,(
% 0.12/0.46 ~sQ59_spl|~sQ22_spl|sQ23_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f1505])).
% 0.12/0.46 fof(f1508,plain,(
% 0.12/0.46 ~g(n)=k|~sQ3_spl|sQ32_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f56,f260])).
% 0.12/0.46 fof(f1509,plain,(
% 0.12/0.46 ~g(n)=n|~sQ3_spl|sQ32_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f56,f1508])).
% 0.12/0.46 fof(f1534,plain,(
% 0.12/0.46 j=n|element(j,n)|~sQ28_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f212,f26])).
% 0.12/0.46 fof(f1540,plain,(
% 0.12/0.46 sQ30_spl|sQ31_spl|~sQ28_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1534,f217,f220,f211])).
% 0.12/0.46 fof(f1552,plain,(
% 0.12/0.46 ~f(j)=m|~sQ36_spl|sQ49_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f321,f582])).
% 0.12/0.46 fof(f1565,plain,(
% 0.12/0.46 ~sQ22_spl|~sQ36_spl|sQ28_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1299,f174,f320,f211])).
% 0.12/0.46 fof(f1582,plain,(
% 0.12/0.46 ~f(m)=m|~sQ36_spl|sQ49_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f321,f1552])).
% 0.12/0.46 fof(f1607,plain,(
% 0.12/0.46 ![X0]: (X0=n|element(X0,n)|element(X0,m)|X0=n|X0=m|~sQ36_spl|~sQ3_spl)),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f1070,f27])).
% 0.12/0.46 fof(f1615,plain,(
% 0.12/0.46 ![X0]: (X0=n|element(X0,n)|element(X0,m)|X0=m|~sQ36_spl|~sQ3_spl)),
% 0.12/0.46 inference(duplicate_literals_removal,[status(thm)],[f1607])).
% 0.12/0.46 fof(f1616,plain,(
% 0.12/0.46 ![X0]: (X0=m|X0=n|~sQ3_spl|~sQ36_spl)),
% 0.12/0.46 inference(backward_subsumption_resolution,[status(thm)],[f1071,f1617])).
% 0.12/0.46 fof(f1617,plain,(
% 0.12/0.46 ![X0]: (X0=n|element(X0,m)|X0=m|~sQ36_spl|~sQ3_spl)),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1615,f698])).
% 0.12/0.46 fof(f1621,plain,(
% 0.12/0.46 f(n)=m|~sQ3_spl|~sQ36_spl|sQ13_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f1616,f139])).
% 0.12/0.46 fof(f1622,plain,(
% 0.12/0.46 g(n)=m|~sQ36_spl|~sQ3_spl|sQ32_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f1616,f1509])).
% 0.12/0.46 fof(f1638,plain,(
% 0.12/0.46 sQ14_spl|~sQ3_spl|~sQ36_spl|sQ13_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1621,f141,f55,f320,f137])).
% 0.12/0.46 fof(f1639,plain,(
% 0.12/0.46 sQ62_spl|~sQ36_spl|~sQ3_spl|sQ32_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1622,f850,f320,f55,f258])).
% 0.12/0.46 fof(f1651,plain,(
% 0.12/0.46 ~g(m)=n|~sQ5_spl|sQ34_spl),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f63,f266])).
% 0.12/0.46 fof(f1653,plain,(
% 0.12/0.46 ![X0]: (X0=k|X0=m|X0=n|~element(X0,m)|~sQ5_spl)),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f63,f32])).
% 0.12/0.46 fof(f1697,plain,(
% 0.12/0.46 ![X0]: (X0=m|X0=m|X0=n|~element(X0,m)|~sQ5_spl)),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f63,f1653])).
% 0.12/0.46 fof(f1698,plain,(
% 0.12/0.46 ![X0]: (X0=m|X0=n|~element(X0,m)|~sQ5_spl)),
% 0.12/0.46 inference(duplicate_literals_removal,[status(thm)],[f1697])).
% 0.12/0.46 fof(f1837,plain,(
% 0.12/0.46 n=n|element(n,n)|sQ69_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f940,f27])).
% 0.12/0.46 fof(f1838,plain,(
% 0.12/0.46 sQ18_spl|sQ19_spl|sQ69_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1837,f161,f164,f938])).
% 0.12/0.46 fof(f1843,plain,(
% 0.12/0.46 f(g(m))=m|~f(f(g(m)))=m|~sQ57_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f804,f20])).
% 0.12/0.46 fof(f1844,plain,(
% 0.12/0.46 f(g(m))=m|~f(f(g(m)))=f(g(m))|~sQ57_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f804,f21])).
% 0.12/0.46 fof(f1845,plain,(
% 0.12/0.46 f(g(m))=m|element(f(g(m)),f(f(g(m))))|~sQ57_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f804,f22])).
% 0.12/0.46 fof(f1846,plain,(
% 0.12/0.46 f(g(m))=m|element(f(f(g(m))),f(g(m)))|~sQ57_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f804,f23])).
% 0.12/0.46 fof(f1848,definition,(
% 0.12/0.46 sQ91_spl <=> (f(f(g(m)))=m)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f1851,plain,(
% 0.12/0.46 sQ26_spl|~sQ91_spl|~sQ57_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1843,f189,f1848,f803])).
% 0.12/0.46 fof(f1852,definition,(
% 0.12/0.46 sQ92_spl <=> (f(f(g(m)))=f(g(m)))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f1855,plain,(
% 0.12/0.46 sQ26_spl|~sQ92_spl|~sQ57_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1844,f189,f1852,f803])).
% 0.12/0.46 fof(f1856,definition,(
% 0.12/0.46 sQ93_spl <=> (element(f(g(m)),f(f(g(m)))))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f1859,plain,(
% 0.12/0.46 sQ26_spl|sQ93_spl|~sQ57_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1845,f189,f1856,f803])).
% 0.12/0.46 fof(f1860,definition,(
% 0.12/0.46 sQ94_spl <=> (element(f(f(g(m))),f(g(m))))),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f1863,plain,(
% 0.12/0.46 sQ26_spl|sQ94_spl|~sQ57_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1846,f189,f1860,f803])).
% 0.12/0.46 fof(f1875,plain,(
% 0.12/0.46 k=n|k=m|g(k)=m|~sQ78_spl|~sQ9_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f1473,f93])).
% 0.12/0.46 fof(f1886,plain,(
% 0.12/0.46 sQ3_spl|sQ5_spl|sQ33_spl|~sQ78_spl|~sQ9_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1875,f55,f62,f261,f1469,f92])).
% 0.12/0.46 fof(f1887,definition,(
% 0.12/0.46 sQ98_spl <=> (g(g(m))=m)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f1888,plain,(
% 0.12/0.46 g(g(m))=m|~sQ98_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f1887])).
% 0.12/0.46 fof(f1953,plain,(
% 0.12/0.46 n=n|n=m|~element(n,m)|~sQ45_spl|~sQ17_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f540,f152])).
% 0.12/0.46 fof(f1954,plain,(
% 0.12/0.46 m=n|m=m|~element(m,m)|~sQ45_spl|~sQ16_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f540,f149])).
% 0.12/0.46 fof(f1955,plain,(
% 0.12/0.46 k=n|k=m|~element(k,m)|~sQ45_spl|~sQ9_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f540,f93])).
% 0.12/0.46 fof(f1957,plain,(
% 0.12/0.46 g(m)=n|g(m)=m|~element(g(m),m)|m=n|element(m,n)|~sQ45_spl),
% 0.12/0.46 inference(resolution,[status(thm)],[f540,f27])).
% 0.12/0.46 fof(f1958,plain,(
% 0.12/0.46 sQ18_spl|sQ10_spl|~sQ41_spl|~sQ45_spl|~sQ17_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1953,f161,f126,f446,f539,f151])).
% 0.12/0.46 fof(f1959,plain,(
% 0.12/0.46 sQ10_spl|sQ15_spl|~sQ16_spl|~sQ45_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1954,f126,f145,f148,f539])).
% 0.12/0.46 fof(f1960,plain,(
% 0.12/0.46 sQ3_spl|sQ5_spl|~sQ27_spl|~sQ45_spl|~sQ9_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1955,f55,f62,f206,f539,f92])).
% 0.12/0.46 fof(f1962,plain,(
% 0.12/0.46 sQ44_spl|sQ22_spl|~sQ76_spl|sQ10_spl|sQ17_spl|~sQ45_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1957,f504,f174,f1154,f126,f151,f539])).
% 0.12/0.46 fof(f1963,plain,(
% 0.12/0.46 ~sQ44_spl|~sQ5_spl|sQ34_spl),
% 0.12/0.46 inference(split_clause,[status(thm)],[f1651,f504,f62,f264])).
% 0.12/0.46 fof(f2068,plain,(
% 0.12/0.46 $false|~sQ36_spl|sQ49_spl|~sQ61_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f841,f1582])).
% 0.12/0.46 fof(f2069,plain,(
% 0.12/0.46 ~sQ36_spl|sQ49_spl|~sQ61_spl),
% 0.12/0.46 inference(contradiction_clause,[status(thm)],[f2068])).
% 0.12/0.46 fof(f2131,definition,(
% 0.12/0.46 sQ102_spl <=> (f(k)=n)),
% 0.12/0.46 introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 0.12/0.46 fof(f2132,plain,(
% 0.12/0.46 f(k)=n|~sQ102_spl),
% 0.12/0.46 inference(component_clause,[status(thm)],[f2131])).
% 0.12/0.46 fof(f2150,plain,(
% 0.12/0.46 element(k,n)|~sQ102_spl|~sQ52_spl),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f2132,f636])).
% 0.12/0.46 fof(f2151,plain,(
% 0.12/0.46 $false|sQ35_spl|~sQ102_spl|~sQ52_spl),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f2150,f269])).
% 0.12/0.46 fof(f2152,plain,(
% 0.12/0.46 sQ35_spl|~sQ102_spl|~sQ52_spl),
% 0.12/0.47 inference(contradiction_clause,[status(thm)],[f2151])).
% 0.12/0.47 fof(f2239,plain,(
% 0.12/0.47 f(n)=n|~element(f(n),n)|~sQ12_spl|~sQ43_spl),
% 0.12/0.47 inference(resolution,[status(thm)],[f134,f508])).
% 0.12/0.47 fof(f2241,plain,(
% 0.12/0.47 sQ13_spl|~sQ11_spl|~sQ12_spl|~sQ43_spl),
% 0.12/0.47 inference(split_clause,[status(thm)],[f2239,f137,f129,f133,f498])).
% 0.12/0.47 fof(f2362,plain,(
% 0.12/0.47 g(m)=n|element(g(m),n)|~m=g(m)|~sQ98_spl),
% 0.12/0.47 inference(paramodulation,[status(thm)],[f1888,f26])).
% 0.12/0.47 fof(f2363,plain,(
% 0.12/0.47 g(m)=n|element(g(m),n)|element(g(m),m)|~sQ98_spl),
% 0.12/0.47 inference(paramodulation,[status(thm)],[f1888,f27])).
% 0.12/0.47 fof(f2364,plain,(
% 0.12/0.47 g(m)=n|element(g(m),n)|element(m,g(m))|~sQ98_spl),
% 0.12/0.47 inference(paramodulation,[status(thm)],[f1888,f28])).
% 0.12/0.47 fof(f2365,definition,(
% 0.12/0.47 sQ108_spl <=> (element(g(m),n))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f2366,plain,(
% 0.12/0.47 element(g(m),n)|~sQ108_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f2365])).
% 0.12/0.47 fof(f2369,plain,(
% 0.12/0.47 sQ44_spl|sQ108_spl|~sQ22_spl|~sQ98_spl),
% 0.12/0.47 inference(split_clause,[status(thm)],[f2362,f504,f2365,f174,f1887])).
% 0.12/0.47 fof(f2370,plain,(
% 0.12/0.47 sQ44_spl|sQ108_spl|sQ76_spl|~sQ98_spl),
% 0.12/0.47 inference(split_clause,[status(thm)],[f2363,f504,f2365,f1154,f1887])).
% 0.12/0.47 fof(f2371,definition,(
% 0.12/0.47 sQ109_spl <=> (element(m,g(m)))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f2374,plain,(
% 0.12/0.47 sQ44_spl|sQ108_spl|sQ109_spl|~sQ98_spl),
% 0.12/0.47 inference(split_clause,[status(thm)],[f2364,f504,f2365,f2371,f1887])).
% 0.12/0.47 fof(f2379,plain,(
% 0.12/0.47 f(n)=m|f(n)=n|~sQ64_spl|~sQ5_spl),
% 0.12/0.47 inference(resolution,[status(thm)],[f869,f1698])).
% 0.12/0.47 fof(f2385,plain,(
% 0.12/0.47 sQ14_spl|sQ13_spl|~sQ64_spl|~sQ5_spl),
% 0.12/0.47 inference(split_clause,[status(thm)],[f2379,f141,f137,f868,f62])).
% 0.12/0.47 fof(f2565,plain,(
% 0.12/0.47 ![X0]: (g(m)=n|X0=n|X0=g(m)|~element(g(m),X0)|~element(X0,g(m))|~sQ108_spl)),
% 0.12/0.47 inference(resolution,[status(thm)],[f2366,f29])).
% 0.12/0.47 fof(f2568,definition,(
% 0.12/0.47 ![X0]: (sQ115_spl <=> (X0=n|X0=g(m)|~element(g(m),X0)|~element(X0,g(m))))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f2571,plain,(
% 0.12/0.47 sQ44_spl|sQ115_spl|~sQ108_spl),
% 0.12/0.47 inference(split_clause,[status(thm)],[f2565,f504,f2568,f2365])).
% 0.12/0.47 fof(f2593,plain,(
% 0.12/0.47 f(k)=k|f(k)=m|f(k)=n|~sQ51_spl),
% 0.12/0.47 inference(resolution,[status(thm)],[f632,f32])).
% 0.12/0.47 fof(f2596,plain,(
% 0.12/0.47 sQ53_spl|sQ54_spl|sQ102_spl|~sQ51_spl),
% 0.12/0.47 inference(split_clause,[status(thm)],[f2593,f639,f643,f2131,f631])).
% 0.12/0.47 fof(f2599,plain,(
% 0.12/0.47 $false),
% 0.12/0.47 inference(sat_refutation,[status(thm)],[f43,f61,f68,f73,f83,f87,f91,f95,f132,f136,f140,f144,f154,f173,f180,f184,f188,f192,f195,f223,f257,f270,f274,f279,f289,f296,f297,f334,f370,f412,f420,f507,f518,f542,f549,f550,f552,f556,f561,f566,f591,f607,f634,f638,f642,f646,f667,f673,f695,f712,f719,f763,f764,f765,f766,f788,f806,f811,f864,f871,f896,f897,f910,f912,f921,f941,f962,f963,f971,f979,f980,f1005,f1006,f1025,f1043,f1060,f1063,f1065,f1069,f1097,f1114,f1157,f1172,f1176,f1202,f1272,f1280,f1309,f1311,f1378,f1428,f1456,f1489,f1502,f1506,f1540,f1565,f1638,f1639,f1838,f1851,f1855,f1859,f1863,f1886,f1958,f1959,f1960,f1962,f1963,f2069,f2152,f2241,f2369,f2370,f2374,f2385,f2571,f2596])).
% 0.12/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.48 % Elapsed time: 0.119249 seconds
% 0.12/0.48 % CPU time: 0.685581 seconds
% 0.12/0.48 % Total memory used: 91.330 MB
% 0.12/0.48 % Net memory used: 87.907 MB
%------------------------------------------------------------------------------