%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG042+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 11:49:30 AM UTC 2026
% Result : Theorem 0.13s 0.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG042+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n011.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Mon Sep 21 12:54:27 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.13/0.58 % Drodi V4.1.1
% 0.13/0.62 % Refutation found
% 0.13/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.62 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.62 fof(f1,axiom,(
% 0.13/0.62 ( e10 != e11& e10 != e12& e10 != e13& e11 != e12& e11 != e13& e12 != e13 ) ),
% 0.13/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.62 fof(f2,axiom,(
% 0.13/0.62 ( e20 != e21& e20 != e22& e20 != e23& e21 != e22& e21 != e23& e22 != e23 ) ),
% 0.13/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.62 fof(f4,axiom,(
% 0.13/0.62 ( op1(e10,e10) = e10& op1(e10,e11) = e11& op1(e10,e12) = e12& op1(e10,e13) = e13& op1(e11,e10) = e11& op1(e11,e11) = e10& op1(e11,e12) = e13& op1(e11,e13) = e12& op1(e12,e10) = e12& op1(e12,e11) = e13& op1(e12,e12) = e10& op1(e12,e13) = e11& op1(e13,e10) = e13& op1(e13,e11) = e12& op1(e13,e12) = e11& op1(e13,e13) = e10 ) ),
% 0.13/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.62 fof(f5,axiom,(
% 0.13/0.62 ( op2(e20,e20) = e20& op2(e20,e21) = e21& op2(e20,e22) = e22& op2(e20,e23) = e23& op2(e21,e20) = e21& op2(e21,e21) = e23& op2(e21,e22) = e20& op2(e21,e23) = e22& op2(e22,e20) = e22& op2(e22,e21) = e20& op2(e22,e22) = e23& op2(e22,e23) = e21& op2(e23,e20) = e23& op2(e23,e21) = e22& op2(e23,e22) = e21& op2(e23,e23) = e20 ) ),
% 0.13/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.62 fof(f6,conjecture,(
% 0.13/0.62 ( ( ( h(e10) = e20| h(e10) = e21| h(e10) = e22| h(e10) = e23 )& ( h(e11) = e20| h(e11) = e21| h(e11) = e22| h(e11) = e23 )& ( h(e12) = e20| h(e12) = e21| h(e12) = e22| h(e12) = e23 )& ( h(e13) = e20| h(e13) = e21| h(e13) = e22| h(e13) = e23 )& ( j(e20) = e10| j(e20) = e11| j(e20) = e12| j(e20) = e13 )& ( j(e21) = e10| j(e21) = e11| j(e21) = e12| j(e21) = e13 )& ( j(e22) = e10| j(e22) = e11| j(e22) = e12| j(e22) = e13 )& ( j(e23) = e10| j(e23) = e11| j(e23) = e12| j(e23) = e13 ) )=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))& h(op1(e10,e11)) = op2(h(e10),h(e11))& h(op1(e10,e12)) = op2(h(e10),h(e12))& h(op1(e10,e13)) = op2(h(e10),h(e13))& h(op1(e11,e10)) = op2(h(e11),h(e10))& h(op1(e11,e11)) = op2(h(e11),h(e11))& h(op1(e11,e12)) = op2(h(e11),h(e12))& h(op1(e11,e13)) = op2(h(e11),h(e13))& h(op1(e12,e10)) = op2(h(e12),h(e10))& h(op1(e12,e11)) = op2(h(e12),h(e11))& h(op1(e12,e12)) = op2(h(e12),h(e12))& h(op1(e12,e13)) = op2(h(e12),h(e13))& h(op1(e13,e10)) = op2(h(e13),h(e10))& h(op1(e13,e11)) = op2(h(e13),h(e11))& h(op1(e13,e12)) = op2(h(e13),h(e12))& h(op1(e13,e13)) = op2(h(e13),h(e13))& j(op2(e20,e20)) = op1(j(e20),j(e20))& j(op2(e20,e21)) = op1(j(e20),j(e21))& j(op2(e20,e22)) = op1(j(e20),j(e22))& j(op2(e20,e23)) = op1(j(e20),j(e23))& j(op2(e21,e20)) = op1(j(e21),j(e20))& j(op2(e21,e21)) = op1(j(e21),j(e21))& j(op2(e21,e22)) = op1(j(e21),j(e22))& j(op2(e21,e23)) = op1(j(e21),j(e23))& j(op2(e22,e20)) = op1(j(e22),j(e20))& j(op2(e22,e21)) = op1(j(e22),j(e21))& j(op2(e22,e22)) = op1(j(e22),j(e22))& j(op2(e22,e23)) = op1(j(e22),j(e23))& j(op2(e23,e20)) = op1(j(e23),j(e20))& j(op2(e23,e21)) = op1(j(e23),j(e21))& j(op2(e23,e22)) = op1(j(e23),j(e22))& j(op2(e23,e23)) = op1(j(e23),j(e23))& h(j(e20)) = e20& h(j(e21)) = e21& h(j(e22)) = e22& h(j(e23)) = e23& j(h(e10)) = e10& j(h(e11)) = e11& j(h(e12)) = e12& j(h(e13)) = e13 ) ) ),
% 0.13/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.62 fof(f7,negated_conjecture,(
% 0.13/0.62 ~(( ( ( h(e10) = e20| h(e10) = e21| h(e10) = e22| h(e10) = e23 )& ( h(e11) = e20| h(e11) = e21| h(e11) = e22| h(e11) = e23 )& ( h(e12) = e20| h(e12) = e21| h(e12) = e22| h(e12) = e23 )& ( h(e13) = e20| h(e13) = e21| h(e13) = e22| h(e13) = e23 )& ( j(e20) = e10| j(e20) = e11| j(e20) = e12| j(e20) = e13 )& ( j(e21) = e10| j(e21) = e11| j(e21) = e12| j(e21) = e13 )& ( j(e22) = e10| j(e22) = e11| j(e22) = e12| j(e22) = e13 )& ( j(e23) = e10| j(e23) = e11| j(e23) = e12| j(e23) = e13 ) )=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))& h(op1(e10,e11)) = op2(h(e10),h(e11))& h(op1(e10,e12)) = op2(h(e10),h(e12))& h(op1(e10,e13)) = op2(h(e10),h(e13))& h(op1(e11,e10)) = op2(h(e11),h(e10))& h(op1(e11,e11)) = op2(h(e11),h(e11))& h(op1(e11,e12)) = op2(h(e11),h(e12))& h(op1(e11,e13)) = op2(h(e11),h(e13))& h(op1(e12,e10)) = op2(h(e12),h(e10))& h(op1(e12,e11)) = op2(h(e12),h(e11))& h(op1(e12,e12)) = op2(h(e12),h(e12))& h(op1(e12,e13)) = op2(h(e12),h(e13))& h(op1(e13,e10)) = op2(h(e13),h(e10))& h(op1(e13,e11)) = op2(h(e13),h(e11))& h(op1(e13,e12)) = op2(h(e13),h(e12))& h(op1(e13,e13)) = op2(h(e13),h(e13))& j(op2(e20,e20)) = op1(j(e20),j(e20))& j(op2(e20,e21)) = op1(j(e20),j(e21))& j(op2(e20,e22)) = op1(j(e20),j(e22))& j(op2(e20,e23)) = op1(j(e20),j(e23))& j(op2(e21,e20)) = op1(j(e21),j(e20))& j(op2(e21,e21)) = op1(j(e21),j(e21))& j(op2(e21,e22)) = op1(j(e21),j(e22))& j(op2(e21,e23)) = op1(j(e21),j(e23))& j(op2(e22,e20)) = op1(j(e22),j(e20))& j(op2(e22,e21)) = op1(j(e22),j(e21))& j(op2(e22,e22)) = op1(j(e22),j(e22))& j(op2(e22,e23)) = op1(j(e22),j(e23))& j(op2(e23,e20)) = op1(j(e23),j(e20))& j(op2(e23,e21)) = op1(j(e23),j(e21))& j(op2(e23,e22)) = op1(j(e23),j(e22))& j(op2(e23,e23)) = op1(j(e23),j(e23))& h(j(e20)) = e20& h(j(e21)) = e21& h(j(e22)) = e22& h(j(e23)) = e23& j(h(e10)) = e10& j(h(e11)) = e11& j(h(e12)) = e12& j(h(e13)) = e13 ) ) )),
% 0.13/0.62 inference(negated_conjecture,[status(cth)],[f6])).
% 0.13/0.62 fof(f9,plain,(
% 0.13/0.62 ~e10=e12),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.62 fof(f16,plain,(
% 0.13/0.62 ~e20=e23),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.62 fof(f36,plain,(
% 0.13/0.62 op1(e10,e10)=e10),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.62 fof(f41,plain,(
% 0.13/0.62 op1(e11,e11)=e10),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.62 fof(f46,plain,(
% 0.13/0.62 op1(e12,e12)=e10),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.62 fof(f51,plain,(
% 0.13/0.62 op1(e13,e13)=e10),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.62 fof(f52,plain,(
% 0.13/0.62 op2(e20,e20)=e20),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.62 fof(f57,plain,(
% 0.13/0.62 op2(e21,e21)=e23),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.62 fof(f67,plain,(
% 0.13/0.62 op2(e23,e23)=e20),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.62 fof(f68,plain,(
% 0.13/0.62 (((((((((((h(e10)=e20|h(e10)=e21)|h(e10)=e22)|h(e10)=e23)&(((h(e11)=e20|h(e11)=e21)|h(e11)=e22)|h(e11)=e23))&(((h(e12)=e20|h(e12)=e21)|h(e12)=e22)|h(e12)=e23))&(((h(e13)=e20|h(e13)=e21)|h(e13)=e22)|h(e13)=e23))&(((j(e20)=e10|j(e20)=e11)|j(e20)=e12)|j(e20)=e13))&(((j(e21)=e10|j(e21)=e11)|j(e21)=e12)|j(e21)=e13))&(((j(e22)=e10|j(e22)=e11)|j(e22)=e12)|j(e22)=e13))&(((j(e23)=e10|j(e23)=e11)|j(e23)=e12)|j(e23)=e13))&(((((((((((((((((((((((((((((((((((((((h(op1(e10,e10))=op2(h(e10),h(e10))&h(op1(e10,e11))=op2(h(e10),h(e11)))&h(op1(e10,e12))=op2(h(e10),h(e12)))&h(op1(e10,e13))=op2(h(e10),h(e13)))&h(op1(e11,e10))=op2(h(e11),h(e10)))&h(op1(e11,e11))=op2(h(e11),h(e11)))&h(op1(e11,e12))=op2(h(e11),h(e12)))&h(op1(e11,e13))=op2(h(e11),h(e13)))&h(op1(e12,e10))=op2(h(e12),h(e10)))&h(op1(e12,e11))=op2(h(e12),h(e11)))&h(op1(e12,e12))=op2(h(e12),h(e12)))&h(op1(e12,e13))=op2(h(e12),h(e13)))&h(op1(e13,e10))=op2(h(e13),h(e10)))&h(op1(e13,e11))=op2(h(e13),h(e11)))&h(op1(e13,e12))=op2(h(e13),h(e12)))&h(op1(e13,e13))=op2(h(e13),h(e13)))&j(op2(e20,e20))=op1(j(e20),j(e20)))&j(op2(e20,e21))=op1(j(e20),j(e21)))&j(op2(e20,e22))=op1(j(e20),j(e22)))&j(op2(e20,e23))=op1(j(e20),j(e23)))&j(op2(e21,e20))=op1(j(e21),j(e20)))&j(op2(e21,e21))=op1(j(e21),j(e21)))&j(op2(e21,e22))=op1(j(e21),j(e22)))&j(op2(e21,e23))=op1(j(e21),j(e23)))&j(op2(e22,e20))=op1(j(e22),j(e20)))&j(op2(e22,e21))=op1(j(e22),j(e21)))&j(op2(e22,e22))=op1(j(e22),j(e22)))&j(op2(e22,e23))=op1(j(e22),j(e23)))&j(op2(e23,e20))=op1(j(e23),j(e20)))&j(op2(e23,e21))=op1(j(e23),j(e21)))&j(op2(e23,e22))=op1(j(e23),j(e22)))&j(op2(e23,e23))=op1(j(e23),j(e23)))&h(j(e20))=e20)&h(j(e21))=e21)&h(j(e22))=e22)&h(j(e23))=e23)&j(h(e10))=e10)&j(h(e11))=e11)&j(h(e12))=e12)&j(h(e13))=e13))),
% 0.13/0.62 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.13/0.62 fof(f74,plain,(
% 0.13/0.62 j(e21)=e10|j(e21)=e11|j(e21)=e12|j(e21)=e13),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.62 fof(f77,plain,(
% 0.13/0.62 h(op1(e10,e10))=op2(h(e10),h(e10))),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.62 fof(f92,plain,(
% 0.13/0.62 h(op1(e13,e13))=op2(h(e13),h(e13))),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.62 fof(f93,plain,(
% 0.13/0.62 j(op2(e20,e20))=op1(j(e20),j(e20))),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.62 fof(f98,plain,(
% 0.13/0.62 j(op2(e21,e21))=op1(j(e21),j(e21))),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.62 fof(f110,plain,(
% 0.13/0.62 h(j(e21))=e21),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.62 fof(f112,plain,(
% 0.13/0.62 h(j(e23))=e23),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.62 fof(f113,plain,(
% 0.13/0.62 j(h(e10))=e10),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.62 fof(f115,plain,(
% 0.13/0.62 j(h(e12))=e12),
% 0.13/0.62 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.62 fof(f126,definition,(
% 0.13/0.62 sQ3_spl <=> (h(e10)=e23)),
% 0.13/0.62 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.62 fof(f127,plain,(
% 0.13/0.62 h(e10)=e23|~sQ3_spl),
% 0.13/0.62 inference(component_clause,[status(thm)],[f126])).
% 0.13/0.62 fof(f128,plain,(
% 0.13/0.62 ~h(e10)=e23|sQ3_spl),
% 0.13/0.62 inference(component_clause,[status(thm)],[f126])).
% 0.13/0.62 fof(f143,definition,(
% 0.13/0.62 sQ8_spl <=> (h(e12)=e20)),
% 0.13/0.62 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.62 fof(f144,plain,(
% 0.13/0.62 h(e12)=e20|~sQ8_spl),
% 0.13/0.62 inference(component_clause,[status(thm)],[f143])).
% 0.13/0.62 fof(f159,definition,(
% 0.13/0.62 sQ13_spl <=> (h(e13)=e21)),
% 0.13/0.62 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.62 fof(f160,plain,(
% 0.13/0.62 h(e13)=e21|~sQ13_spl),
% 0.13/0.62 inference(component_clause,[status(thm)],[f159])).
% 0.13/0.62 fof(f182,definition,(
% 0.13/0.62 sQ20_spl <=> (j(e21)=e10)),
% 0.13/0.62 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.62 fof(f183,plain,(
% 0.13/0.62 j(e21)=e10|~sQ20_spl),
% 0.13/0.62 inference(component_clause,[status(thm)],[f182])).
% 0.13/0.62 fof(f185,definition,(
% 0.13/0.62 sQ21_spl <=> (j(e21)=e11)),
% 0.13/0.62 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.62 fof(f186,plain,(
% 0.13/0.62 j(e21)=e11|~sQ21_spl),
% 0.13/0.62 inference(component_clause,[status(thm)],[f185])).
% 0.13/0.62 fof(f188,definition,(
% 0.13/0.62 sQ22_spl <=> (j(e21)=e12)),
% 0.13/0.62 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.62 fof(f189,plain,(
% 0.13/0.62 j(e21)=e12|~sQ22_spl),
% 0.13/0.62 inference(component_clause,[status(thm)],[f188])).
% 0.13/0.62 fof(f191,definition,(
% 0.13/0.62 sQ23_spl <=> (j(e21)=e13)),
% 0.13/0.62 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.62 fof(f192,plain,(
% 0.13/0.62 j(e21)=e13|~sQ23_spl),
% 0.13/0.62 inference(component_clause,[status(thm)],[f191])).
% 0.13/0.62 fof(f194,plain,(
% 0.13/0.62 sQ20_spl|sQ21_spl|sQ22_spl|sQ23_spl),
% 0.13/0.62 inference(split_clause,[status(thm)],[f74,f182,f185,f188,f191])).
% 0.13/0.62 fof(f208,definition,(
% 0.13/0.62 sQ28_spl <=> (j(e23)=e10)),
% 0.13/0.62 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/0.62 fof(f209,plain,(
% 0.13/0.62 j(e23)=e10|~sQ28_spl),
% 0.13/0.62 inference(component_clause,[status(thm)],[f208])).
% 0.13/0.62 fof(f210,plain,(
% 0.13/0.62 ~j(e23)=e10|sQ28_spl),
% 0.13/0.62 inference(component_clause,[status(thm)],[f208])).
% 0.13/0.62 fof(f297,plain,(
% 0.13/0.62 j(e23)=e10|~sQ3_spl),
% 0.13/0.62 inference(backward_demodulation,[status(thm)],[f127,f113])).
% 0.13/0.62 fof(f299,plain,(
% 0.13/0.62 sQ28_spl|~sQ3_spl),
% 0.13/0.62 inference(split_clause,[status(thm)],[f297,f208,f126])).
% 0.13/0.62 fof(f310,plain,(
% 0.13/0.62 j(op2(e21,e21))=op1(j(e21),e11)|~sQ21_spl),
% 0.13/0.62 inference(backward_demodulation,[status(thm)],[f186,f98])).
% 0.13/0.62 fof(f311,plain,(
% 0.13/0.62 j(op2(e21,e21))=op1(e11,e11)|~sQ21_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f186,f310])).
% 0.13/0.62 fof(f377,plain,(
% 0.13/0.62 h(e10)=op2(h(e10),h(e10))),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f36,f77])).
% 0.13/0.62 fof(f403,plain,(
% 0.13/0.62 j(e20)=e12|~sQ8_spl),
% 0.13/0.62 inference(backward_demodulation,[status(thm)],[f144,f115])).
% 0.13/0.62 fof(f467,plain,(
% 0.13/0.62 j(op2(e21,e21))=e10|~sQ21_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f41,f311])).
% 0.13/0.62 fof(f510,plain,(
% 0.13/0.62 h(e10)=op2(h(e10),e23)|~sQ28_spl),
% 0.13/0.62 inference(backward_demodulation,[status(thm)],[f511,f377])).
% 0.13/0.62 fof(f511,plain,(
% 0.13/0.62 h(e10)=e23|~sQ28_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f209,f112])).
% 0.13/0.62 fof(f512,plain,(
% 0.13/0.62 e23=op2(h(e10),e23)|~sQ28_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f511,f510])).
% 0.13/0.62 fof(f513,plain,(
% 0.13/0.62 e23=op2(e23,e23)|~sQ28_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f511,f512])).
% 0.13/0.62 fof(f538,plain,(
% 0.13/0.62 j(op2(e21,e21))=op1(j(e21),e10)|~sQ20_spl),
% 0.13/0.62 inference(backward_demodulation,[status(thm)],[f183,f98])).
% 0.13/0.62 fof(f542,plain,(
% 0.13/0.62 j(op2(e21,e21))=op1(e10,e10)|~sQ20_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f183,f538])).
% 0.13/0.62 fof(f543,plain,(
% 0.13/0.62 j(op2(e21,e21))=e10|~sQ20_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f36,f542])).
% 0.13/0.62 fof(f638,plain,(
% 0.13/0.62 h(e10)=op2(h(e13),h(e13))),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f51,f92])).
% 0.13/0.62 fof(f690,plain,(
% 0.13/0.62 j(e20)=op1(j(e20),j(e20))),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f52,f93])).
% 0.13/0.62 fof(f692,plain,(
% 0.13/0.62 j(e23)=op1(j(e21),j(e21))),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f57,f98])).
% 0.13/0.62 fof(f774,plain,(
% 0.13/0.62 h(e13)=e21|~sQ23_spl),
% 0.13/0.62 inference(backward_demodulation,[status(thm)],[f192,f110])).
% 0.13/0.62 fof(f775,plain,(
% 0.13/0.62 sQ13_spl|~sQ23_spl),
% 0.13/0.62 inference(split_clause,[status(thm)],[f774,f159,f191])).
% 0.13/0.62 fof(f878,plain,(
% 0.13/0.62 j(e23)=op1(e12,j(e21))|~sQ22_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f189,f692])).
% 0.13/0.62 fof(f879,plain,(
% 0.13/0.62 j(e23)=op1(e12,e12)|~sQ22_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f189,f878])).
% 0.13/0.62 fof(f880,plain,(
% 0.13/0.62 j(e23)=e10|~sQ22_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f46,f879])).
% 0.13/0.62 fof(f994,plain,(
% 0.13/0.62 j(e23)=e10|~sQ20_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f57,f543])).
% 0.13/0.62 fof(f1028,plain,(
% 0.13/0.62 e23=e20|~sQ28_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f67,f513])).
% 0.13/0.62 fof(f1029,plain,(
% 0.13/0.62 $false|~sQ28_spl),
% 0.13/0.62 inference(forward_subsumption_resolution,[status(thm)],[f1028,f16])).
% 0.13/0.62 fof(f1030,plain,(
% 0.13/0.62 ~sQ28_spl),
% 0.13/0.62 inference(contradiction_clause,[status(thm)],[f1029])).
% 0.13/0.62 fof(f1105,plain,(
% 0.13/0.62 sQ28_spl|~sQ22_spl),
% 0.13/0.62 inference(split_clause,[status(thm)],[f880,f208,f188])).
% 0.13/0.62 fof(f1108,plain,(
% 0.13/0.62 sQ28_spl|~sQ20_spl),
% 0.13/0.62 inference(split_clause,[status(thm)],[f994,f208,f182])).
% 0.13/0.62 fof(f1114,plain,(
% 0.13/0.62 j(e23)=e10|~sQ21_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f57,f467])).
% 0.13/0.62 fof(f1216,plain,(
% 0.13/0.62 $false|sQ28_spl|~sQ21_spl),
% 0.13/0.62 inference(forward_subsumption_resolution,[status(thm)],[f1114,f210])).
% 0.13/0.62 fof(f1217,plain,(
% 0.13/0.62 sQ28_spl|~sQ21_spl),
% 0.13/0.62 inference(contradiction_clause,[status(thm)],[f1216])).
% 0.13/0.62 fof(f1265,plain,(
% 0.13/0.62 j(e20)=op1(j(e20),e12)|~sQ8_spl),
% 0.13/0.62 inference(backward_demodulation,[status(thm)],[f403,f690])).
% 0.13/0.62 fof(f1270,plain,(
% 0.13/0.62 e12=op1(j(e20),e12)|~sQ8_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f403,f1265])).
% 0.13/0.62 fof(f1271,plain,(
% 0.13/0.62 e12=op1(e12,e12)|~sQ8_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f403,f1270])).
% 0.13/0.62 fof(f1272,plain,(
% 0.13/0.62 e12=e10|~sQ8_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f46,f1271])).
% 0.13/0.62 fof(f1273,plain,(
% 0.13/0.62 $false|~sQ8_spl),
% 0.13/0.62 inference(forward_subsumption_resolution,[status(thm)],[f1272,f9])).
% 0.13/0.62 fof(f1274,plain,(
% 0.13/0.62 ~sQ8_spl),
% 0.13/0.62 inference(contradiction_clause,[status(thm)],[f1273])).
% 0.13/0.62 fof(f1285,plain,(
% 0.13/0.62 h(e10)=op2(h(e13),e21)|~sQ13_spl),
% 0.13/0.62 inference(backward_demodulation,[status(thm)],[f160,f638])).
% 0.13/0.62 fof(f1289,plain,(
% 0.13/0.62 h(e10)=op2(e21,e21)|~sQ13_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f160,f1285])).
% 0.13/0.62 fof(f1290,plain,(
% 0.13/0.62 h(e10)=e23|~sQ13_spl),
% 0.13/0.62 inference(forward_demodulation,[status(thm)],[f57,f1289])).
% 0.13/0.62 fof(f1291,plain,(
% 0.13/0.62 $false|sQ3_spl|~sQ13_spl),
% 0.13/0.62 inference(forward_subsumption_resolution,[status(thm)],[f1290,f128])).
% 0.13/0.62 fof(f1292,plain,(
% 0.13/0.62 sQ3_spl|~sQ13_spl),
% 0.13/0.62 inference(contradiction_clause,[status(thm)],[f1291])).
% 0.13/0.62 fof(f1293,plain,(
% 0.13/0.62 $false),
% 0.13/0.62 inference(sat_refutation,[status(thm)],[f194,f299,f775,f1030,f1105,f1108,f1217,f1274,f1292])).
% 0.13/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.64 % Elapsed time: 0.065241 seconds
% 0.13/0.64 % CPU time: 0.227022 seconds
% 0.13/0.64 % Total memory used: 107.762 MB
% 0.13/0.64 % Net memory used: 107.700 MB
%------------------------------------------------------------------------------