%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN013-1 : 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 : n002.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 0.13s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.54 % Computer : n002.cluster.edu
% 0.09/0.54 % Model : x86_64 x86_64
% 0.09/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.54 % Memory : 8046.5625MB
% 0.09/0.54 % OS : Linux 6.8.0-71-generic
% 0.09/0.54 % CPULimit : 300
% 0.09/0.54 % WCLimit : 300
% 0.09/0.54 % DateTime : Mon Sep 21 10:41:49 UTC 2026
% 0.09/0.54 % CPUTime :
% 0.09/0.55 % Drodi V4.1.1
% 0.13/0.57 % Refutation found
% 0.13/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.57 fof(f1,negated_conjecture,(
% 0.13/0.57 m != n ),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f2,negated_conjecture,(
% 0.13/0.57 n != k ),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f3,negated_conjecture,(
% 0.13/0.57 k != m ),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f4,negated_conjecture,(
% 0.13/0.57 (![Y]: (( Y = m| ~ element(Y,m)| f(Y) != m ) ))),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f5,negated_conjecture,(
% 0.13/0.57 (![Y]: (( Y = m| ~ element(Y,m)| f(Y) != Y ) ))),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f6,negated_conjecture,(
% 0.13/0.57 (![Y]: (( Y = m| ~ element(Y,m)| element(Y,f(Y)) ) ))),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f7,negated_conjecture,(
% 0.13/0.57 (![Y]: (( Y = m| ~ element(Y,m)| element(f(Y),Y) ) ))),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f8,negated_conjecture,(
% 0.13/0.57 (![Y,V]: (( Y = m| element(Y,m)| V = m| V = Y| ~ element(Y,V)| ~ element(V,Y) ) ))),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f9,negated_conjecture,(
% 0.13/0.57 (![Y]: (( Y = n| element(Y,n)| g(Y) != n ) ))),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f10,negated_conjecture,(
% 0.13/0.57 (![Y]: (( Y = n| element(Y,n)| g(Y) != Y ) ))),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f11,negated_conjecture,(
% 0.13/0.57 (![Y]: (( Y = n| element(Y,n)| element(Y,g(Y)) ) ))),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f12,negated_conjecture,(
% 0.13/0.57 (![Y]: (( Y = n| element(Y,n)| element(g(Y),Y) ) ))),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f13,negated_conjecture,(
% 0.13/0.57 (![Y,V]: (( Y = n| ~ element(Y,n)| V = n| V = Y| ~ element(Y,V)| ~ element(V,Y) ) ))),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f14,negated_conjecture,(
% 0.13/0.57 (![Y]: (( Y = k| Y != m| element(Y,k) ) ))),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f15,negated_conjecture,(
% 0.13/0.57 (![Y]: (( Y = k| Y != n| element(Y,k) ) ))),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f16,negated_conjecture,(
% 0.13/0.57 (![Y]: (( Y = k| Y = m| Y = n| ~ element(Y,k) ) ))),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f17,plain,(
% 0.13/0.57 ~m=n),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.57 fof(f18,plain,(
% 0.13/0.57 ~n=k),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.57 fof(f19,plain,(
% 0.13/0.57 ~k=m),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.57 fof(f20,plain,(
% 0.13/0.57 ![X0]: (X0=m|~element(X0,m)|~f(X0)=m)),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.57 fof(f21,plain,(
% 0.13/0.57 ![X0]: (X0=m|~element(X0,m)|~f(X0)=X0)),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.57 fof(f22,plain,(
% 0.13/0.57 ![X0]: (X0=m|~element(X0,m)|element(X0,f(X0)))),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.57 fof(f23,plain,(
% 0.13/0.57 ![X0]: (X0=m|~element(X0,m)|element(f(X0),X0))),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.57 fof(f24,plain,(
% 0.13/0.57 ![X0,X1]: (X0=m|element(X0,m)|X1=m|X1=X0|~element(X0,X1)|~element(X1,X0))),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.57 fof(f25,plain,(
% 0.13/0.57 ![X0]: (X0=n|element(X0,n)|~g(X0)=n)),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.57 fof(f26,plain,(
% 0.13/0.57 ![X0]: (X0=n|element(X0,n)|~g(X0)=X0)),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.57 fof(f27,plain,(
% 0.13/0.57 ![X0]: (X0=n|element(X0,n)|element(X0,g(X0)))),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.57 fof(f28,plain,(
% 0.13/0.57 ![X0]: (X0=n|element(X0,n)|element(g(X0),X0))),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.57 fof(f29,plain,(
% 0.13/0.57 ![X0,X1]: (X0=n|~element(X0,n)|X1=n|X1=X0|~element(X0,X1)|~element(X1,X0))),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.57 fof(f30,plain,(
% 0.13/0.57 ![X0]: (X0=k|~X0=m|element(X0,k))),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.57 fof(f31,plain,(
% 0.13/0.57 ![X0]: (X0=k|~X0=n|element(X0,k))),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.57 fof(f32,plain,(
% 0.13/0.57 ![X0]: (X0=k|X0=m|X0=n|~element(X0,k))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.58 fof(f33,plain,(
% 0.13/0.58 m=k|element(m,k)),
% 0.13/0.58 inference(destructive_equality_resolution,[status(thm)],[f30])).
% 0.13/0.58 fof(f34,plain,(
% 0.13/0.58 element(m,k)),
% 0.13/0.58 inference(forward_subsumption_resolution,[status(thm)],[f33,f19])).
% 0.13/0.58 fof(f35,plain,(
% 0.13/0.58 n=k|element(n,k)),
% 0.13/0.58 inference(destructive_equality_resolution,[status(thm)],[f31])).
% 0.13/0.58 fof(f36,plain,(
% 0.13/0.58 element(n,k)),
% 0.13/0.58 inference(forward_subsumption_resolution,[status(thm)],[f35,f18])).
% 0.13/0.58 fof(f37,plain,(
% 0.13/0.58 k=m|element(k,m)|n=m|n=k|~element(k,n)),
% 0.13/0.58 inference(resolution,[status(thm)],[f24,f36])).
% 0.13/0.58 fof(f40,definition,(
% 0.13/0.58 sQ0_spl <=> (k=m)),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f41,plain,(
% 0.13/0.58 k=m|~sQ0_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f40])).
% 0.13/0.58 fof(f43,definition,(
% 0.13/0.58 sQ1_spl <=> (element(k,m))),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f44,plain,(
% 0.13/0.58 element(k,m)|~sQ1_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f43])).
% 0.13/0.58 fof(f46,definition,(
% 0.13/0.58 sQ2_spl <=> (n=m)),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f47,plain,(
% 0.13/0.58 n=m|~sQ2_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f46])).
% 0.13/0.58 fof(f49,definition,(
% 0.13/0.58 sQ3_spl <=> (n=k)),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f50,plain,(
% 0.13/0.58 n=k|~sQ3_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f49])).
% 0.13/0.58 fof(f52,definition,(
% 0.13/0.58 sQ4_spl <=> (element(k,n))),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f53,plain,(
% 0.13/0.58 element(k,n)|~sQ4_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f52])).
% 0.13/0.58 fof(f55,plain,(
% 0.13/0.58 sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl|~sQ4_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f37,f40,f43,f46,f49,f52])).
% 0.13/0.58 fof(f56,definition,(
% 0.13/0.58 sQ5_spl <=> (m=m)),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f89,plain,(
% 0.13/0.58 $false|~sQ2_spl),
% 0.13/0.58 inference(forward_subsumption_resolution,[status(thm)],[f47,f17])).
% 0.13/0.58 fof(f90,plain,(
% 0.13/0.58 ~sQ2_spl),
% 0.13/0.58 inference(contradiction_clause,[status(thm)],[f89])).
% 0.13/0.58 fof(f105,definition,(
% 0.13/0.58 sQ14_spl <=> (n=n)),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f116,plain,(
% 0.13/0.58 g(k)=k|g(k)=m|g(k)=n|k=n|element(k,n)),
% 0.13/0.58 inference(resolution,[status(thm)],[f32,f28])).
% 0.13/0.58 fof(f117,plain,(
% 0.13/0.58 n=k|n=m|n=n),
% 0.13/0.58 inference(resolution,[status(thm)],[f32,f36])).
% 0.13/0.58 fof(f118,plain,(
% 0.13/0.58 m=k|m=m|m=n),
% 0.13/0.58 inference(resolution,[status(thm)],[f32,f34])).
% 0.13/0.58 fof(f119,definition,(
% 0.13/0.58 sQ16_spl <=> (g(k)=k)),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f120,plain,(
% 0.13/0.58 g(k)=k|~sQ16_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f119])).
% 0.13/0.58 fof(f122,definition,(
% 0.13/0.58 sQ17_spl <=> (g(k)=m)),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f123,plain,(
% 0.13/0.58 g(k)=m|~sQ17_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f122])).
% 0.13/0.58 fof(f125,definition,(
% 0.13/0.58 sQ18_spl <=> (g(k)=n)),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f126,plain,(
% 0.13/0.58 g(k)=n|~sQ18_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f125])).
% 0.13/0.58 fof(f128,plain,(
% 0.13/0.58 sQ16_spl|sQ17_spl|sQ18_spl|sQ3_spl|sQ4_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f116,f119,f122,f125,f49,f52])).
% 0.13/0.58 fof(f129,plain,(
% 0.13/0.58 sQ3_spl|sQ2_spl|sQ14_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f117,f49,f46,f105])).
% 0.13/0.58 fof(f130,plain,(
% 0.13/0.58 sQ0_spl|sQ5_spl|sQ2_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f118,f40,f56,f46])).
% 0.13/0.58 fof(f131,plain,(
% 0.13/0.58 $false|~sQ3_spl),
% 0.13/0.58 inference(forward_subsumption_resolution,[status(thm)],[f50,f18])).
% 0.13/0.58 fof(f132,plain,(
% 0.13/0.58 ~sQ3_spl),
% 0.13/0.58 inference(contradiction_clause,[status(thm)],[f131])).
% 0.13/0.58 fof(f133,plain,(
% 0.13/0.58 $false|~sQ0_spl),
% 0.13/0.58 inference(forward_subsumption_resolution,[status(thm)],[f41,f19])).
% 0.13/0.58 fof(f134,plain,(
% 0.13/0.58 ~sQ0_spl),
% 0.13/0.58 inference(contradiction_clause,[status(thm)],[f133])).
% 0.13/0.58 fof(f162,plain,(
% 0.13/0.58 k=n|element(k,n)|~sQ18_spl),
% 0.13/0.58 inference(resolution,[status(thm)],[f126,f25])).
% 0.13/0.58 fof(f167,plain,(
% 0.13/0.58 sQ3_spl|sQ4_spl|~sQ18_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f162,f49,f52,f125])).
% 0.13/0.58 fof(f168,definition,(
% 0.13/0.58 sQ22_spl <=> (element(n,k))),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f170,plain,(
% 0.13/0.58 ~element(n,k)|sQ22_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f168])).
% 0.13/0.58 fof(f175,plain,(
% 0.13/0.58 k=m|element(f(k),k)|~sQ1_spl),
% 0.13/0.58 inference(resolution,[status(thm)],[f44,f23])).
% 0.13/0.58 fof(f176,plain,(
% 0.13/0.58 k=m|element(k,f(k))|~sQ1_spl),
% 0.13/0.58 inference(resolution,[status(thm)],[f44,f22])).
% 0.13/0.58 fof(f177,plain,(
% 0.13/0.58 k=m|~f(k)=k|~sQ1_spl),
% 0.13/0.58 inference(resolution,[status(thm)],[f44,f21])).
% 0.13/0.58 fof(f178,plain,(
% 0.13/0.58 k=m|~f(k)=m|~sQ1_spl),
% 0.13/0.58 inference(resolution,[status(thm)],[f44,f20])).
% 0.13/0.58 fof(f180,definition,(
% 0.13/0.58 sQ23_spl <=> (element(f(k),k))),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f181,plain,(
% 0.13/0.58 element(f(k),k)|~sQ23_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f180])).
% 0.13/0.58 fof(f183,plain,(
% 0.13/0.58 sQ0_spl|sQ23_spl|~sQ1_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f175,f40,f180,f43])).
% 0.13/0.58 fof(f184,definition,(
% 0.13/0.58 sQ24_spl <=> (element(k,f(k)))),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f185,plain,(
% 0.13/0.58 element(k,f(k))|~sQ24_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f184])).
% 0.13/0.58 fof(f187,plain,(
% 0.13/0.58 sQ0_spl|sQ24_spl|~sQ1_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f176,f40,f184,f43])).
% 0.13/0.58 fof(f188,definition,(
% 0.13/0.58 sQ25_spl <=> (f(k)=k)),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f191,plain,(
% 0.13/0.58 sQ0_spl|~sQ25_spl|~sQ1_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f177,f40,f188,f43])).
% 0.13/0.58 fof(f192,definition,(
% 0.13/0.58 sQ26_spl <=> (f(k)=m)),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f195,plain,(
% 0.13/0.58 sQ0_spl|~sQ26_spl|~sQ1_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f178,f40,f192,f43])).
% 0.13/0.58 fof(f196,definition,(
% 0.13/0.58 sQ27_spl <=> (element(m,k))),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f198,plain,(
% 0.13/0.58 ~element(m,k)|sQ27_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f196])).
% 0.13/0.58 fof(f200,plain,(
% 0.13/0.58 ![X0]: (k=n|X0=n|X0=k|~element(k,X0)|~element(X0,k)|~sQ4_spl)),
% 0.13/0.58 inference(resolution,[status(thm)],[f53,f29])).
% 0.13/0.58 fof(f202,definition,(
% 0.13/0.58 ![X0]: (sQ28_spl <=> (X0=n|X0=k|~element(k,X0)|~element(X0,k)))),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f203,plain,(
% 0.13/0.58 ![X0]: (X0=n|X0=k|~element(k,X0)|~element(X0,k)|~sQ28_spl)),
% 0.13/0.58 inference(component_clause,[status(thm)],[f202])).
% 0.13/0.58 fof(f205,plain,(
% 0.13/0.58 sQ3_spl|sQ28_spl|~sQ4_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f200,f49,f202,f52])).
% 0.13/0.58 fof(f242,plain,(
% 0.13/0.58 $false|sQ22_spl),
% 0.13/0.58 inference(forward_subsumption_resolution,[status(thm)],[f170,f36])).
% 0.13/0.58 fof(f243,plain,(
% 0.13/0.58 sQ22_spl),
% 0.13/0.58 inference(contradiction_clause,[status(thm)],[f242])).
% 0.13/0.58 fof(f254,plain,(
% 0.13/0.58 k=n|element(k,n)|~sQ16_spl),
% 0.13/0.58 inference(resolution,[status(thm)],[f120,f26])).
% 0.13/0.58 fof(f260,plain,(
% 0.13/0.58 sQ3_spl|sQ4_spl|~sQ16_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f254,f49,f52,f119])).
% 0.13/0.58 fof(f278,plain,(
% 0.13/0.58 k=n|element(k,n)|element(k,m)|~sQ17_spl),
% 0.13/0.58 inference(paramodulation,[status(thm)],[f123,f27])).
% 0.13/0.58 fof(f283,plain,(
% 0.13/0.58 sQ3_spl|sQ4_spl|sQ1_spl|~sQ17_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f278,f49,f52,f43,f122])).
% 0.13/0.58 fof(f286,plain,(
% 0.13/0.58 f(k)=k|f(k)=m|f(k)=n|~sQ23_spl),
% 0.13/0.58 inference(resolution,[status(thm)],[f181,f32])).
% 0.13/0.58 fof(f288,definition,(
% 0.13/0.58 sQ36_spl <=> (f(k)=n)),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f289,plain,(
% 0.13/0.58 f(k)=n|~sQ36_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f288])).
% 0.13/0.58 fof(f291,plain,(
% 0.13/0.58 sQ25_spl|sQ26_spl|sQ36_spl|~sQ23_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f286,f188,f192,f288,f180])).
% 0.13/0.58 fof(f296,plain,(
% 0.13/0.58 element(k,n)|~sQ36_spl|~sQ24_spl),
% 0.13/0.58 inference(backward_demodulation,[status(thm)],[f289,f185])).
% 0.13/0.58 fof(f297,plain,(
% 0.13/0.58 sQ4_spl|~sQ36_spl|~sQ24_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f296,f52,f288,f184])).
% 0.13/0.58 fof(f350,plain,(
% 0.13/0.58 m=n|m=k|~element(m,k)|~sQ28_spl|~sQ1_spl),
% 0.13/0.58 inference(resolution,[status(thm)],[f203,f44])).
% 0.13/0.58 fof(f354,plain,(
% 0.13/0.58 sQ2_spl|sQ0_spl|~sQ27_spl|~sQ28_spl|~sQ1_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f350,f46,f40,f196,f202,f43])).
% 0.13/0.58 fof(f360,plain,(
% 0.13/0.58 $false|sQ27_spl),
% 0.13/0.58 inference(forward_subsumption_resolution,[status(thm)],[f198,f34])).
% 0.13/0.58 fof(f361,plain,(
% 0.13/0.58 sQ27_spl),
% 0.13/0.58 inference(contradiction_clause,[status(thm)],[f360])).
% 0.13/0.58 fof(f362,plain,(
% 0.13/0.58 $false),
% 0.13/0.58 inference(sat_refutation,[status(thm)],[f55,f90,f128,f129,f130,f132,f134,f167,f183,f187,f191,f195,f205,f243,f260,f283,f291,f297,f354,f361])).
% 0.13/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.60 % Elapsed time: 0.049496 seconds
% 0.13/0.60 % CPU time: 0.168425 seconds
% 0.13/0.60 % Total memory used: 73.296 MB
% 0.13/0.60 % Net memory used: 72.913 MB
%------------------------------------------------------------------------------