%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN014-1 : 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 : 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 : Thu Sep 24 03:18:43 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:39:04 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.42 % Refutation found
% 0.09/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.42 fof(f1,negated_conjecture,(
% 0.09/0.42 m != n ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f2,negated_conjecture,(
% 0.09/0.42 ( n = k| m = k ) ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f3,negated_conjecture,(
% 0.09/0.42 (![Y]: (( Y = j| Y != k| element(Y,j) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f4,negated_conjecture,(
% 0.09/0.42 (![Y]: (( Y = j| Y = k| ~ element(Y,j) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f5,negated_conjecture,(
% 0.09/0.42 (![Y]: (( Y = m| ~ element(Y,m)| f(Y) != m ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f6,negated_conjecture,(
% 0.09/0.42 (![Y]: (( Y = m| ~ element(Y,m)| f(Y) != Y ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f7,negated_conjecture,(
% 0.09/0.42 (![Y]: (( Y = m| ~ element(Y,m)| element(Y,f(Y)) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f8,negated_conjecture,(
% 0.09/0.42 (![Y]: (( Y = m| ~ element(Y,m)| element(f(Y),Y) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f9,negated_conjecture,(
% 0.09/0.42 (![Y,V1]: (( Y = m| element(Y,m)| V1 = m| V1 = Y| ~ element(Y,V1)| ~ element(V1,Y) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f10,negated_conjecture,(
% 0.09/0.42 (![Y]: (( Y = n| element(Y,n)| g(Y) != n ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f11,negated_conjecture,(
% 0.09/0.42 (![Y]: (( Y = n| element(Y,n)| g(Y) != Y ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f12,negated_conjecture,(
% 0.09/0.42 (![Y]: (( Y = n| element(Y,n)| element(Y,g(Y)) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f13,negated_conjecture,(
% 0.09/0.42 (![Y]: (( Y = n| element(Y,n)| element(g(Y),Y) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f14,negated_conjecture,(
% 0.09/0.42 (![Y,V]: (( Y = n| ~ element(Y,n)| V = n| V = Y| ~ element(Y,V)| ~ element(V,Y) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f15,negated_conjecture,(
% 0.09/0.42 (![Y]: (( Y = k| Y != m| element(Y,k) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f16,negated_conjecture,(
% 0.09/0.42 (![Y]: (( Y = k| Y != n| element(Y,k) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f17,negated_conjecture,(
% 0.09/0.42 (![Y]: (( Y = k| Y = m| Y = n| ~ element(Y,k) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f18,plain,(
% 0.09/0.42 ~m=n),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.42 fof(f19,plain,(
% 0.09/0.42 n=k|m=k),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.42 fof(f20,plain,(
% 0.09/0.42 ![X0]: (X0=j|~X0=k|element(X0,j))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.42 fof(f21,plain,(
% 0.09/0.42 ![X0]: (X0=j|X0=k|~element(X0,j))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.42 fof(f22,plain,(
% 0.09/0.42 ![X0]: (X0=m|~element(X0,m)|~f(X0)=m)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.42 fof(f23,plain,(
% 0.09/0.42 ![X0]: (X0=m|~element(X0,m)|~f(X0)=X0)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.42 fof(f24,plain,(
% 0.09/0.42 ![X0]: (X0=m|~element(X0,m)|element(X0,f(X0)))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.42 fof(f25,plain,(
% 0.09/0.42 ![X0]: (X0=m|~element(X0,m)|element(f(X0),X0))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.42 fof(f26,plain,(
% 0.09/0.42 ![X0,X1]: (X0=m|element(X0,m)|X1=m|X1=X0|~element(X0,X1)|~element(X1,X0))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.42 fof(f27,plain,(
% 0.09/0.42 ![X0]: (X0=n|element(X0,n)|~g(X0)=n)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.42 fof(f28,plain,(
% 0.09/0.42 ![X0]: (X0=n|element(X0,n)|~g(X0)=X0)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.42 fof(f29,plain,(
% 0.09/0.42 ![X0]: (X0=n|element(X0,n)|element(X0,g(X0)))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.42 fof(f30,plain,(
% 0.09/0.42 ![X0]: (X0=n|element(X0,n)|element(g(X0),X0))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.42 fof(f31,plain,(
% 0.09/0.42 ![X0,X1]: (X0=n|~element(X0,n)|X1=n|X1=X0|~element(X0,X1)|~element(X1,X0))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.42 fof(f32,plain,(
% 0.09/0.42 ![X0]: (X0=k|~X0=m|element(X0,k))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.42 fof(f33,plain,(
% 0.09/0.42 ![X0]: (X0=k|~X0=n|element(X0,k))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.42 fof(f34,plain,(
% 0.09/0.42 ![X0]: (X0=k|X0=m|X0=n|~element(X0,k))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.42 fof(f35,definition,(
% 0.09/0.42 sQ0_spl <=> (n=k)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f36,plain,(
% 0.09/0.42 n=k|~sQ0_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f35])).
% 0.09/0.42 fof(f38,definition,(
% 0.09/0.42 sQ1_spl <=> (m=k)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f39,plain,(
% 0.09/0.42 m=k|~sQ1_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f38])).
% 0.09/0.42 fof(f41,plain,(
% 0.09/0.42 sQ0_spl|sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f19,f35,f38])).
% 0.09/0.42 fof(f42,plain,(
% 0.09/0.42 k=j|element(k,j)),
% 0.09/0.42 inference(destructive_equality_resolution,[status(thm)],[f20])).
% 0.09/0.42 fof(f43,plain,(
% 0.09/0.42 m=k|element(m,k)),
% 0.09/0.42 inference(destructive_equality_resolution,[status(thm)],[f32])).
% 0.09/0.42 fof(f44,plain,(
% 0.09/0.42 n=k|element(n,k)),
% 0.09/0.42 inference(destructive_equality_resolution,[status(thm)],[f33])).
% 0.09/0.42 fof(f45,plain,(
% 0.09/0.42 ![X0]: (X0=k|X0=m|X0=n|~element(X0,n)|~sQ0_spl)),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f36,f34])).
% 0.09/0.42 fof(f47,plain,(
% 0.09/0.42 m=k|element(m,n)|~sQ0_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f36,f43])).
% 0.09/0.42 fof(f48,plain,(
% 0.09/0.42 ![X0]: (X0=j|X0=n|~element(X0,j)|~sQ0_spl)),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f36,f21])).
% 0.09/0.42 fof(f49,plain,(
% 0.09/0.42 k=j|element(n,j)|~sQ0_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f36,f42])).
% 0.09/0.42 fof(f50,plain,(
% 0.09/0.42 ![X0]: (X0=n|X0=m|X0=n|~element(X0,n)|~sQ0_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f36,f45])).
% 0.09/0.42 fof(f51,plain,(
% 0.09/0.42 ![X0]: (X0=n|X0=m|~element(X0,n)|~sQ0_spl)),
% 0.09/0.42 inference(duplicate_literals_removal,[status(thm)],[f50])).
% 0.09/0.42 fof(f52,definition,(
% 0.09/0.42 sQ2_spl <=> (element(n,n))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f53,plain,(
% 0.09/0.42 element(n,n)|~sQ2_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f52])).
% 0.09/0.42 fof(f56,definition,(
% 0.09/0.42 sQ3_spl <=> (element(m,n))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f57,plain,(
% 0.09/0.42 element(m,n)|~sQ3_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f56])).
% 0.09/0.42 fof(f59,plain,(
% 0.09/0.42 sQ1_spl|sQ3_spl|~sQ0_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f47,f38,f56,f35])).
% 0.09/0.42 fof(f60,definition,(
% 0.09/0.42 sQ4_spl <=> (k=j)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f61,plain,(
% 0.09/0.42 k=j|~sQ4_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f60])).
% 0.09/0.42 fof(f62,plain,(
% 0.09/0.42 ~k=j|sQ4_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f60])).
% 0.09/0.42 fof(f63,definition,(
% 0.09/0.42 sQ5_spl <=> (element(n,j))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f64,plain,(
% 0.09/0.42 element(n,j)|~sQ5_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f63])).
% 0.09/0.42 fof(f66,plain,(
% 0.09/0.42 sQ4_spl|sQ5_spl|~sQ0_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f49,f60,f63,f35])).
% 0.09/0.42 fof(f67,plain,(
% 0.09/0.42 ![X0]: (X0=m|X0=m|X0=n|~element(X0,k)|~sQ1_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f39,f34])).
% 0.09/0.42 fof(f68,plain,(
% 0.09/0.42 ![X0]: (X0=m|X0=m|X0=n|~element(X0,m)|~sQ1_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f39,f67])).
% 0.09/0.42 fof(f69,plain,(
% 0.09/0.42 ![X0]: (X0=m|X0=n|~element(X0,m)|~sQ1_spl)),
% 0.09/0.42 inference(duplicate_literals_removal,[status(thm)],[f68])).
% 0.09/0.42 fof(f70,definition,(
% 0.09/0.42 sQ6_spl <=> (element(n,k))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f71,plain,(
% 0.09/0.42 element(n,k)|~sQ6_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f70])).
% 0.09/0.42 fof(f73,plain,(
% 0.09/0.42 sQ0_spl|sQ6_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f44,f35,f70])).
% 0.09/0.42 fof(f74,definition,(
% 0.09/0.42 sQ7_spl <=> (element(m,k))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f75,plain,(
% 0.09/0.42 element(m,k)|~sQ7_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f74])).
% 0.09/0.42 fof(f77,plain,(
% 0.09/0.42 sQ1_spl|sQ7_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f43,f38,f74])).
% 0.09/0.42 fof(f79,definition,(
% 0.09/0.42 sQ8_spl <=> (element(k,j))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f80,plain,(
% 0.09/0.42 element(k,j)|~sQ8_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f79])).
% 0.09/0.42 fof(f82,plain,(
% 0.09/0.42 sQ4_spl|sQ8_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f42,f60,f79])).
% 0.09/0.42 fof(f85,plain,(
% 0.09/0.42 element(n,m)|~sQ1_spl|~sQ6_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f39,f71])).
% 0.09/0.42 fof(f89,plain,(
% 0.09/0.42 ![X0]: (g(n)=n|X0=n|X0=g(n)|~element(g(n),X0)|~element(X0,g(n))|n=n|element(n,n))),
% 0.09/0.42 inference(resolution,[status(thm)],[f31,f30])).
% 0.09/0.42 fof(f90,definition,(
% 0.09/0.42 sQ9_spl <=> (g(n)=n)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f91,plain,(
% 0.09/0.42 g(n)=n|~sQ9_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f90])).
% 0.09/0.42 fof(f93,definition,(
% 0.09/0.42 ![X0]: (sQ10_spl <=> (X0=n|X0=g(n)|~element(g(n),X0)|~element(X0,g(n))))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f94,plain,(
% 0.09/0.42 ![X0]: (X0=n|X0=g(n)|~element(g(n),X0)|~element(X0,g(n))|~sQ10_spl)),
% 0.09/0.42 inference(component_clause,[status(thm)],[f93])).
% 0.09/0.42 fof(f96,definition,(
% 0.09/0.42 sQ11_spl <=> (n=n)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f99,plain,(
% 0.09/0.42 sQ9_spl|sQ10_spl|sQ11_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f89,f90,f93,f96,f52])).
% 0.09/0.42 fof(f101,definition,(
% 0.09/0.42 ![X0]: (sQ12_spl <=> (X0=n|X0=n|~element(n,X0)|~element(X0,n)))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f102,plain,(
% 0.09/0.42 ![X0]: (X0=n|X0=n|~element(n,X0)|~element(X0,n)|~sQ12_spl)),
% 0.09/0.42 inference(component_clause,[status(thm)],[f101])).
% 0.09/0.42 fof(f115,plain,(
% 0.09/0.42 element(m,n)|~sQ0_spl|~sQ7_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f36,f75])).
% 0.09/0.42 fof(f116,plain,(
% 0.09/0.42 ![X0]: (X0=k|X0=n|~element(X0,j)|~sQ4_spl|~sQ0_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f61,f48])).
% 0.09/0.42 fof(f117,plain,(
% 0.09/0.42 ![X0]: (X0=n|X0=n|~element(X0,j)|~sQ4_spl|~sQ0_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f36,f116])).
% 0.09/0.42 fof(f118,plain,(
% 0.09/0.42 ![X0]: (X0=n|X0=n|~element(X0,k)|~sQ4_spl|~sQ0_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f61,f117])).
% 0.09/0.42 fof(f119,plain,(
% 0.09/0.42 ![X0]: (X0=n|X0=n|~element(X0,n)|~sQ4_spl|~sQ0_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f36,f118])).
% 0.09/0.42 fof(f124,plain,(
% 0.09/0.42 ![X0]: (X0=n|~element(X0,n)|~sQ4_spl|~sQ0_spl)),
% 0.09/0.42 inference(duplicate_literals_removal,[status(thm)],[f119])).
% 0.09/0.42 fof(f127,definition,(
% 0.09/0.42 sQ13_spl <=> (n=m)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f128,plain,(
% 0.09/0.42 n=m|~sQ13_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f127])).
% 0.09/0.42 fof(f130,definition,(
% 0.09/0.42 sQ14_spl <=> (element(n,m))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f133,definition,(
% 0.09/0.42 sQ15_spl <=> (m=m)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f137,plain,(
% 0.09/0.42 m=n|~sQ4_spl|~sQ0_spl|~sQ3_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f124,f57])).
% 0.09/0.42 fof(f138,plain,(
% 0.09/0.42 $false|~sQ4_spl|~sQ0_spl|~sQ3_spl),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f137,f18])).
% 0.09/0.42 fof(f139,plain,(
% 0.09/0.42 ~sQ4_spl|~sQ0_spl|~sQ3_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f138])).
% 0.09/0.42 fof(f141,plain,(
% 0.09/0.42 n=m|~sQ1_spl|~sQ0_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f39,f36])).
% 0.09/0.42 fof(f146,plain,(
% 0.09/0.42 ~n=j|~sQ0_spl|sQ4_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f36,f62])).
% 0.09/0.42 fof(f147,plain,(
% 0.09/0.42 $false|~sQ1_spl|~sQ0_spl),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f141,f18])).
% 0.09/0.42 fof(f148,plain,(
% 0.09/0.42 ~sQ1_spl|~sQ0_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f147])).
% 0.09/0.42 fof(f158,definition,(
% 0.09/0.42 sQ16_spl <=> (j=m)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f159,plain,(
% 0.09/0.42 j=m|~sQ16_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f158])).
% 0.09/0.42 fof(f168,plain,(
% 0.09/0.42 element(n,j)|~sQ0_spl|~sQ8_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f36,f80])).
% 0.09/0.42 fof(f178,plain,(
% 0.09/0.42 ![X0]: (X0=n|element(X0,n)|X0=m|element(X0,m)|g(X0)=m|g(X0)=X0|~element(X0,g(X0)))),
% 0.09/0.42 inference(resolution,[status(thm)],[f30,f26])).
% 0.09/0.42 fof(f180,definition,(
% 0.09/0.42 sQ18_spl <=> (g(m)=m)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f181,plain,(
% 0.09/0.42 g(m)=m|~sQ18_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f180])).
% 0.09/0.42 fof(f200,plain,(
% 0.09/0.42 $false|~sQ13_spl),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f128,f18])).
% 0.09/0.42 fof(f201,plain,(
% 0.09/0.42 ~sQ13_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f200])).
% 0.09/0.42 fof(f205,definition,(
% 0.09/0.42 sQ23_spl <=> (n=j)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f206,plain,(
% 0.09/0.42 n=j|~sQ23_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f205])).
% 0.09/0.42 fof(f208,definition,(
% 0.09/0.42 sQ24_spl <=> (element(j,n))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f209,plain,(
% 0.09/0.42 element(j,n)|~sQ24_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f208])).
% 0.09/0.42 fof(f214,definition,(
% 0.09/0.42 ![X0]: (sQ25_spl <=> (X0=n|X0=m|~element(m,X0)|~element(X0,m)))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f215,plain,(
% 0.09/0.42 ![X0]: (X0=n|X0=m|~element(m,X0)|~element(X0,m)|~sQ25_spl)),
% 0.09/0.42 inference(component_clause,[status(thm)],[f214])).
% 0.09/0.42 fof(f219,plain,(
% 0.09/0.42 m=n|m=m|~sQ0_spl|~sQ7_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f51,f115])).
% 0.09/0.42 fof(f220,plain,(
% 0.09/0.42 g(n)=n|g(n)=m|n=n|element(n,n)|~sQ0_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f51,f30])).
% 0.09/0.42 fof(f221,plain,(
% 0.09/0.42 sQ13_spl|sQ15_spl|~sQ0_spl|~sQ7_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f219,f127,f133,f35,f74])).
% 0.09/0.42 fof(f222,definition,(
% 0.09/0.42 sQ26_spl <=> (g(n)=m)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f223,plain,(
% 0.09/0.42 g(n)=m|~sQ26_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f222])).
% 0.09/0.42 fof(f225,plain,(
% 0.09/0.42 sQ9_spl|sQ26_spl|sQ11_spl|sQ2_spl|~sQ0_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f220,f90,f222,f96,f52,f35])).
% 0.09/0.42 fof(f226,plain,(
% 0.09/0.42 m=n|~sQ26_spl|~sQ9_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f223,f91])).
% 0.09/0.42 fof(f227,plain,(
% 0.09/0.42 sQ13_spl|~sQ26_spl|~sQ9_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f226,f127,f222,f90])).
% 0.09/0.42 fof(f228,plain,(
% 0.09/0.42 n=j|n=n|~sQ0_spl|~sQ5_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f48,f64])).
% 0.09/0.42 fof(f229,plain,(
% 0.09/0.42 g(j)=j|g(j)=n|j=n|element(j,n)|~sQ0_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f48,f30])).
% 0.09/0.42 fof(f230,plain,(
% 0.09/0.42 sQ23_spl|sQ11_spl|~sQ0_spl|~sQ5_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f228,f205,f96,f35,f63])).
% 0.09/0.42 fof(f231,definition,(
% 0.09/0.42 sQ27_spl <=> (g(j)=j)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f232,plain,(
% 0.09/0.42 g(j)=j|~sQ27_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f231])).
% 0.09/0.42 fof(f234,definition,(
% 0.09/0.42 sQ28_spl <=> (g(j)=n)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f235,plain,(
% 0.09/0.42 g(j)=n|~sQ28_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f234])).
% 0.09/0.42 fof(f237,plain,(
% 0.09/0.42 sQ27_spl|sQ28_spl|sQ23_spl|sQ24_spl|~sQ0_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f229,f231,f234,f205,f208,f35])).
% 0.09/0.42 fof(f238,plain,(
% 0.09/0.42 $false|~sQ0_spl|sQ4_spl|~sQ23_spl),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f206,f146])).
% 0.09/0.42 fof(f239,plain,(
% 0.09/0.42 ~sQ0_spl|sQ4_spl|~sQ23_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f238])).
% 0.09/0.42 fof(f247,plain,(
% 0.09/0.42 m=n|element(m,n)|~sQ18_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f181,f28])).
% 0.09/0.42 fof(f253,plain,(
% 0.09/0.42 sQ13_spl|sQ3_spl|~sQ18_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f247,f127,f56,f180])).
% 0.09/0.42 fof(f263,plain,(
% 0.09/0.42 ![X0]: (X0=n|element(X0,n)|X0=m|element(X0,m)|g(X0)=m|~element(X0,g(X0)))),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f178,f28])).
% 0.09/0.42 fof(f274,plain,(
% 0.09/0.42 ![X0]: (m=n|X0=n|X0=m|~element(m,X0)|~element(X0,m)|~sQ3_spl)),
% 0.09/0.42 inference(resolution,[status(thm)],[f57,f31])).
% 0.09/0.42 fof(f276,plain,(
% 0.09/0.42 sQ13_spl|sQ25_spl|~sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f274,f127,f214,f56])).
% 0.09/0.42 fof(f283,plain,(
% 0.09/0.42 g(m)=m|g(m)=n|m=n|element(m,n)|~sQ1_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f69,f30])).
% 0.09/0.42 fof(f284,definition,(
% 0.09/0.42 sQ31_spl <=> (g(m)=n)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f285,plain,(
% 0.09/0.42 g(m)=n|~sQ31_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f284])).
% 0.09/0.42 fof(f287,plain,(
% 0.09/0.42 sQ18_spl|sQ31_spl|sQ13_spl|sQ3_spl|~sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f283,f180,f284,f127,f56,f38])).
% 0.09/0.42 fof(f288,plain,(
% 0.09/0.42 n=m|n=n|~sQ6_spl|~sQ1_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f85,f69])).
% 0.09/0.42 fof(f289,plain,(
% 0.09/0.42 n=m|~f(n)=m|~sQ1_spl|~sQ6_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f85,f22])).
% 0.09/0.42 fof(f290,plain,(
% 0.09/0.42 n=m|~f(n)=n|~sQ1_spl|~sQ6_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f85,f23])).
% 0.09/0.42 fof(f291,plain,(
% 0.09/0.42 n=m|element(n,f(n))|~sQ1_spl|~sQ6_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f85,f24])).
% 0.09/0.42 fof(f292,plain,(
% 0.09/0.42 n=m|element(f(n),n)|~sQ1_spl|~sQ6_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f85,f25])).
% 0.09/0.42 fof(f294,plain,(
% 0.09/0.42 sQ13_spl|sQ11_spl|~sQ6_spl|~sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f288,f127,f96,f70,f38])).
% 0.09/0.42 fof(f295,definition,(
% 0.09/0.42 sQ32_spl <=> (f(n)=m)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f298,plain,(
% 0.09/0.42 sQ13_spl|~sQ32_spl|~sQ1_spl|~sQ6_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f289,f127,f295,f38,f70])).
% 0.09/0.42 fof(f299,definition,(
% 0.09/0.42 sQ33_spl <=> (f(n)=n)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f301,plain,(
% 0.09/0.42 ~f(n)=n|sQ33_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f299])).
% 0.09/0.42 fof(f302,plain,(
% 0.09/0.42 sQ13_spl|~sQ33_spl|~sQ1_spl|~sQ6_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f290,f127,f299,f38,f70])).
% 0.09/0.42 fof(f303,definition,(
% 0.09/0.42 sQ34_spl <=> (element(n,f(n)))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f304,plain,(
% 0.09/0.42 element(n,f(n))|~sQ34_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f303])).
% 0.09/0.42 fof(f306,plain,(
% 0.09/0.42 sQ13_spl|sQ34_spl|~sQ1_spl|~sQ6_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f291,f127,f303,f38,f70])).
% 0.09/0.42 fof(f307,definition,(
% 0.09/0.42 sQ35_spl <=> (element(f(n),n))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f310,plain,(
% 0.09/0.42 sQ13_spl|sQ35_spl|~sQ1_spl|~sQ6_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f292,f127,f307,f38,f70])).
% 0.09/0.42 fof(f344,plain,(
% 0.09/0.42 ![X0]: (X0=n|~element(n,X0)|~element(X0,n)|~sQ12_spl)),
% 0.09/0.42 inference(duplicate_literals_removal,[status(thm)],[f102])).
% 0.09/0.42 fof(f351,plain,(
% 0.09/0.42 m=n|element(m,n)|~sQ31_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f285,f27])).
% 0.09/0.42 fof(f356,plain,(
% 0.09/0.42 sQ13_spl|sQ3_spl|~sQ31_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f351,f127,f56,f284])).
% 0.09/0.42 fof(f365,plain,(
% 0.09/0.42 f(n)=m|element(f(n),m)|n=m|n=f(n)|~element(f(n),n)|~sQ34_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f304,f26])).
% 0.09/0.42 fof(f366,definition,(
% 0.09/0.42 sQ38_spl <=> (element(f(n),m))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f367,plain,(
% 0.09/0.42 element(f(n),m)|~sQ38_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f366])).
% 0.09/0.42 fof(f369,plain,(
% 0.09/0.42 sQ32_spl|sQ38_spl|sQ13_spl|sQ33_spl|~sQ35_spl|~sQ34_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f365,f295,f366,f127,f299,f307,f303])).
% 0.09/0.42 fof(f386,plain,(
% 0.09/0.42 m=n|~element(m,n)|~sQ12_spl|~sQ1_spl|~sQ6_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f344,f85])).
% 0.09/0.42 fof(f387,plain,(
% 0.09/0.42 g(n)=n|~element(g(n),n)|n=n|element(n,n)|~sQ12_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f344,f29])).
% 0.09/0.42 fof(f389,plain,(
% 0.09/0.42 sQ13_spl|~sQ3_spl|~sQ12_spl|~sQ1_spl|~sQ6_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f386,f127,f56,f101,f38,f70])).
% 0.09/0.42 fof(f390,definition,(
% 0.09/0.42 sQ40_spl <=> (element(g(n),n))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f393,plain,(
% 0.09/0.42 sQ9_spl|~sQ40_spl|sQ11_spl|sQ2_spl|~sQ12_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f387,f90,f390,f96,f52,f101])).
% 0.09/0.42 fof(f415,plain,(
% 0.09/0.42 n=n|n=g(n)|~element(n,g(n))|n=n|element(n,n)|~sQ10_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f94,f30])).
% 0.09/0.42 fof(f416,plain,(
% 0.09/0.42 g(g(n))=n|g(g(n))=g(n)|~element(g(g(n)),g(n))|g(n)=n|element(g(n),n)|~sQ10_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f94,f29])).
% 0.09/0.42 fof(f417,definition,(
% 0.09/0.42 sQ44_spl <=> (element(n,g(n)))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f420,plain,(
% 0.09/0.42 sQ11_spl|sQ9_spl|~sQ44_spl|sQ2_spl|~sQ10_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f415,f96,f90,f417,f52,f93])).
% 0.09/0.42 fof(f421,definition,(
% 0.09/0.42 sQ45_spl <=> (g(g(n))=n)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f422,plain,(
% 0.09/0.42 g(g(n))=n|~sQ45_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f421])).
% 0.09/0.42 fof(f423,plain,(
% 0.09/0.42 ~g(g(n))=n|sQ45_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f421])).
% 0.09/0.42 fof(f424,definition,(
% 0.09/0.42 sQ46_spl <=> (g(g(n))=g(n))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f425,plain,(
% 0.09/0.42 g(g(n))=g(n)|~sQ46_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f424])).
% 0.09/0.42 fof(f427,definition,(
% 0.09/0.42 sQ47_spl <=> (element(g(g(n)),g(n)))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f430,plain,(
% 0.09/0.42 sQ45_spl|sQ46_spl|~sQ47_spl|sQ9_spl|sQ40_spl|~sQ10_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f416,f421,f424,f427,f90,f390,f93])).
% 0.09/0.42 fof(f432,plain,(
% 0.09/0.42 n=g(n)|~sQ45_spl|~sQ46_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f422,f425])).
% 0.09/0.42 fof(f433,plain,(
% 0.09/0.42 sQ9_spl|~sQ45_spl|~sQ46_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f432,f90,f421,f424])).
% 0.09/0.42 fof(f481,plain,(
% 0.09/0.42 f(n)=m|f(n)=n|~sQ38_spl|~sQ1_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f367,f69])).
% 0.09/0.42 fof(f487,plain,(
% 0.09/0.42 sQ32_spl|sQ33_spl|~sQ38_spl|~sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f481,f295,f299,f366,f38])).
% 0.09/0.42 fof(f508,plain,(
% 0.09/0.42 ![X0]: (X0=n|element(X0,n)|X0=m|element(X0,m)|g(X0)=m)),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f263,f29])).
% 0.09/0.42 fof(f516,plain,(
% 0.09/0.42 ![X0]: (X0=n|X0=m|element(X0,m)|g(X0)=m|~sQ0_spl)),
% 0.09/0.42 inference(backward_subsumption_resolution,[status(thm)],[f508,f51])).
% 0.09/0.42 fof(f552,plain,(
% 0.09/0.42 n=n|n=m|~element(n,m)|~sQ25_spl|~sQ3_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f215,f57])).
% 0.09/0.42 fof(f554,plain,(
% 0.09/0.42 sQ11_spl|sQ13_spl|~sQ14_spl|~sQ25_spl|~sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f552,f96,f127,f130,f214,f56])).
% 0.09/0.42 fof(f559,plain,(
% 0.09/0.42 j=n|element(j,n)|~sQ27_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f232,f28])).
% 0.09/0.42 fof(f564,plain,(
% 0.09/0.42 sQ23_spl|sQ24_spl|~sQ27_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f559,f205,f208,f231])).
% 0.09/0.42 fof(f609,plain,(
% 0.09/0.42 j=n|element(j,n)|~sQ28_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f235,f27])).
% 0.09/0.42 fof(f615,plain,(
% 0.09/0.42 sQ23_spl|sQ24_spl|~sQ28_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f609,f205,f208,f234])).
% 0.09/0.42 fof(f621,plain,(
% 0.09/0.42 element(n,m)|~sQ16_spl|~sQ0_spl|~sQ8_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f159,f168])).
% 0.09/0.42 fof(f622,plain,(
% 0.09/0.42 ![X0]: (X0=j|X0=n|~element(X0,m)|~sQ16_spl|~sQ0_spl)),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f159,f48])).
% 0.09/0.42 fof(f630,plain,(
% 0.09/0.42 ![X0]: (X0=n|X0=m|g(X0)=m|~sQ16_spl|~sQ0_spl)),
% 0.09/0.42 inference(backward_subsumption_resolution,[status(thm)],[f516,f631])).
% 0.09/0.42 fof(f631,plain,(
% 0.09/0.42 ![X0]: (X0=m|X0=n|~element(X0,m)|~sQ16_spl|~sQ0_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f159,f622])).
% 0.09/0.42 fof(f635,plain,(
% 0.09/0.42 n=m|~f(n)=m|~sQ16_spl|~sQ0_spl|~sQ8_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f621,f22])).
% 0.09/0.42 fof(f636,plain,(
% 0.09/0.42 n=m|~f(n)=n|~sQ16_spl|~sQ0_spl|~sQ8_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f621,f23])).
% 0.09/0.42 fof(f640,plain,(
% 0.09/0.42 sQ13_spl|~sQ32_spl|~sQ16_spl|~sQ0_spl|~sQ8_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f635,f127,f295,f158,f35,f79])).
% 0.09/0.42 fof(f641,plain,(
% 0.09/0.42 sQ13_spl|~sQ33_spl|~sQ16_spl|~sQ0_spl|~sQ8_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f636,f127,f299,f158,f35,f79])).
% 0.09/0.42 fof(f658,plain,(
% 0.09/0.42 ![X0]: (X0=n|element(X0,n)|element(X0,m)|X0=n|X0=m|~sQ16_spl|~sQ0_spl)),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f630,f29])).
% 0.09/0.42 fof(f671,plain,(
% 0.09/0.42 ![X0]: (X0=n|element(X0,n)|element(X0,m)|X0=m|~sQ16_spl|~sQ0_spl)),
% 0.09/0.42 inference(duplicate_literals_removal,[status(thm)],[f658])).
% 0.09/0.42 fof(f672,plain,(
% 0.09/0.43 ![X0]: (X0=m|X0=n|~sQ16_spl|~sQ0_spl)),
% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f631,f673])).
% 0.09/0.43 fof(f673,plain,(
% 0.09/0.43 ![X0]: (X0=n|element(X0,m)|X0=m|~sQ16_spl|~sQ0_spl)),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f671,f51])).
% 0.09/0.43 fof(f678,plain,(
% 0.09/0.43 f(n)=m|~sQ16_spl|~sQ0_spl|sQ33_spl),
% 0.09/0.43 inference(resolution,[status(thm)],[f672,f301])).
% 0.09/0.43 fof(f695,plain,(
% 0.09/0.43 sQ32_spl|~sQ16_spl|~sQ0_spl|sQ33_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f678,f295,f158,f35,f299])).
% 0.09/0.43 fof(f731,plain,(
% 0.09/0.43 ~g(m)=n|~sQ26_spl|sQ45_spl),
% 0.09/0.43 inference(backward_demodulation,[status(thm)],[f223,f423])).
% 0.09/0.43 fof(f749,plain,(
% 0.09/0.43 ~n=n|~sQ31_spl|~sQ26_spl|sQ45_spl),
% 0.09/0.43 inference(forward_demodulation,[status(thm)],[f285,f731])).
% 0.09/0.43 fof(f750,plain,(
% 0.09/0.43 $false|~sQ31_spl|~sQ26_spl|sQ45_spl),
% 0.09/0.43 inference(trivial_equality_resolution,[status(thm)],[f749])).
% 0.09/0.43 fof(f751,plain,(
% 0.09/0.43 ~sQ31_spl|~sQ26_spl|sQ45_spl),
% 0.09/0.43 inference(contradiction_clause,[status(thm)],[f750])).
% 0.09/0.43 fof(f786,plain,(
% 0.09/0.43 n=m|element(n,m)|n=m|n=n|~element(n,n)|~sQ2_spl),
% 0.09/0.43 inference(resolution,[status(thm)],[f26,f53])).
% 0.09/0.43 fof(f791,plain,(
% 0.09/0.43 sQ13_spl|sQ14_spl|sQ11_spl|~sQ2_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f786,f127,f130,f96,f52])).
% 0.09/0.43 fof(f820,plain,(
% 0.09/0.43 j=n|j=m|~sQ24_spl|~sQ0_spl),
% 0.09/0.43 inference(resolution,[status(thm)],[f209,f51])).
% 0.09/0.43 fof(f823,plain,(
% 0.09/0.43 sQ23_spl|sQ16_spl|~sQ24_spl|~sQ0_spl),
% 0.09/0.43 inference(split_clause,[status(thm)],[f820,f205,f158,f208,f35])).
% 0.09/0.43 fof(f826,plain,(
% 0.09/0.43 $false),
% 0.09/0.43 inference(sat_refutation,[status(thm)],[f41,f59,f66,f73,f77,f82,f99,f139,f148,f201,f221,f225,f227,f230,f237,f239,f253,f276,f287,f294,f298,f302,f306,f310,f356,f369,f389,f393,f420,f430,f433,f487,f554,f564,f615,f640,f641,f695,f751,f791,f823])).
% 0.09/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.44 % Elapsed time: 0.072740 seconds
% 0.09/0.44 % CPU time: 0.283027 seconds
% 0.09/0.44 % Total memory used: 83.421 MB
% 0.09/0.44 % Net memory used: 82.339 MB
%------------------------------------------------------------------------------