%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP128-4.003 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 12:35:55 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP128-4.003 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n017.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 20 19:55:56 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.48 % Refutation found
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.48 fof(f2,axiom,(
% 0.17/0.48 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,e_1,Y)| product(X,e_2,Y)| product(X,e_3,Y) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f3,negated_conjecture,(
% 0.17/0.48 (![X,Y,Z1,Z2]: (( product(X,Y,Z1)| ~ product(X,Z1,Z2)| ~ product(Z1,Y,Z2) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f4,negated_conjecture,(
% 0.17/0.48 (![Z1,Y,Z2,X]: (( product(Z1,Y,Z2)| ~ product(X,Z1,Z2)| ~ product(X,Y,Z1) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f5,axiom,(
% 0.17/0.48 group_element(e_1) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f6,axiom,(
% 0.17/0.48 group_element(e_2) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f7,axiom,(
% 0.17/0.48 group_element(e_3) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f8,axiom,(
% 0.17/0.48 ~ equalish(e_1,e_2) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f9,axiom,(
% 0.17/0.48 ~ equalish(e_1,e_3) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f12,axiom,(
% 0.17/0.48 ~ equalish(e_3,e_1) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f14,axiom,(
% 0.17/0.48 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,Y,e_1)| product(X,Y,e_2)| product(X,Y,e_3) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f15,axiom,(
% 0.17/0.48 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f16,axiom,(
% 0.17/0.48 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f17,axiom,(
% 0.17/0.48 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f18,negated_conjecture,(
% 0.17/0.48 (![X,Y,Z1,Z2]: (( ~ product(X,Y,Z1)| ~ product(Z1,Y,Z2)| product(X,Z1,Z2) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f20,plain,(
% 0.17/0.48 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,e_1,X1)|product(X0,e_2,X1)|product(X0,e_3,X1))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.48 fof(f21,plain,(
% 0.17/0.48 ![Y,Z1,Z2]: ((![X]: (product(X,Y,Z1)|~product(X,Z1,Z2)))|~product(Z1,Y,Z2))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f3])).
% 0.17/0.48 fof(f22,plain,(
% 0.17/0.48 ![X0,X1,X2,X3]: (product(X0,X1,X2)|~product(X0,X2,X3)|~product(X2,X1,X3))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f21])).
% 0.17/0.48 fof(f23,plain,(
% 0.17/0.48 ![Z1,Y,X]: ((![Z2]: (product(Z1,Y,Z2)|~product(X,Z1,Z2)))|~product(X,Y,Z1))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f4])).
% 0.17/0.48 fof(f24,plain,(
% 0.17/0.48 ![X0,X1,X2,X3]: (product(X0,X1,X2)|~product(X3,X0,X2)|~product(X3,X1,X0))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f23])).
% 0.17/0.48 fof(f25,plain,(
% 0.17/0.48 group_element(e_1)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/0.48 fof(f26,plain,(
% 0.17/0.48 group_element(e_2)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.17/0.48 fof(f27,plain,(
% 0.17/0.48 group_element(e_3)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.48 fof(f28,plain,(
% 0.17/0.48 ~equalish(e_1,e_2)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f8])).
% 0.17/0.48 fof(f29,plain,(
% 0.17/0.48 ~equalish(e_1,e_3)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f9])).
% 0.17/0.48 fof(f32,plain,(
% 0.17/0.48 ~equalish(e_3,e_1)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f12])).
% 0.17/0.48 fof(f34,plain,(
% 0.17/0.48 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,X1,e_1)|product(X0,X1,e_2)|product(X0,X1,e_3))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f14])).
% 0.17/0.48 fof(f35,plain,(
% 0.17/0.48 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f15])).
% 0.17/0.48 fof(f36,plain,(
% 0.17/0.48 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f35])).
% 0.17/0.48 fof(f37,plain,(
% 0.17/0.48 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f16])).
% 0.17/0.48 fof(f38,plain,(
% 0.17/0.48 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f37])).
% 0.17/0.48 fof(f39,plain,(
% 0.17/0.48 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f17])).
% 0.17/0.48 fof(f40,plain,(
% 0.17/0.48 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f39])).
% 0.17/0.48 fof(f41,plain,(
% 0.17/0.48 ![X,Z1,Z2]: ((![Y]: (~product(X,Y,Z1)|~product(Z1,Y,Z2)))|product(X,Z1,Z2))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f18])).
% 0.17/0.48 fof(f42,plain,(
% 0.17/0.48 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X2,X1,X3)|product(X0,X2,X3))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f41])).
% 0.17/0.48 fof(f48,plain,(
% 0.17/0.48 ![X0]: (~group_element(X0)|product(X0,e_1,e_1)|product(X0,e_2,e_1)|product(X0,e_3,e_1))),
% 0.17/0.48 inference(resolution,[status(thm)],[f20,f25])).
% 0.17/0.48 fof(f50,plain,(
% 0.17/0.48 ![X0]: (~group_element(X0)|product(X0,e_2,e_1)|product(X0,e_2,e_2)|product(X0,e_2,e_3))),
% 0.17/0.48 inference(resolution,[status(thm)],[f34,f26])).
% 0.17/0.48 fof(f51,plain,(
% 0.17/0.48 ![X0]: (~group_element(X0)|product(X0,e_1,e_1)|product(X0,e_1,e_2)|product(X0,e_1,e_3))),
% 0.17/0.48 inference(resolution,[status(thm)],[f34,f25])).
% 0.17/0.48 fof(f61,definition,(
% 0.17/0.48 sQ2_spl <=> (product(e_3,e_3,e_1))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f62,plain,(
% 0.17/0.48 product(e_3,e_3,e_1)|~sQ2_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f61])).
% 0.17/0.48 fof(f65,definition,(
% 0.17/0.48 sQ3_spl <=> (product(e_1,e_2,e_1))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f66,plain,(
% 0.17/0.48 product(e_1,e_2,e_1)|~sQ3_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f65])).
% 0.17/0.48 fof(f71,definition,(
% 0.17/0.48 sQ5_spl <=> (product(e_3,e_2,e_1))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f72,plain,(
% 0.17/0.48 product(e_3,e_2,e_1)|~sQ5_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f71])).
% 0.17/0.48 fof(f75,definition,(
% 0.17/0.48 sQ6_spl <=> (product(e_1,e_1,e_1))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f76,plain,(
% 0.17/0.48 product(e_1,e_1,e_1)|~sQ6_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f75])).
% 0.17/0.48 fof(f81,definition,(
% 0.17/0.48 sQ8_spl <=> (product(e_3,e_1,e_1))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f82,plain,(
% 0.17/0.48 product(e_3,e_1,e_1)|~sQ8_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f81])).
% 0.17/0.48 fof(f89,plain,(
% 0.17/0.48 ![X0]: (product(e_1,e_1,X0)|~product(e_3,e_1,X0)|~sQ8_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f82,f24])).
% 0.17/0.48 fof(f112,definition,(
% 0.17/0.48 sQ12_spl <=> (product(e_1,e_2,e_2))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f113,plain,(
% 0.17/0.48 product(e_1,e_2,e_2)|~sQ12_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f112])).
% 0.17/0.48 fof(f122,definition,(
% 0.17/0.48 sQ15_spl <=> (product(e_1,e_1,e_2))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f123,plain,(
% 0.17/0.48 product(e_1,e_1,e_2)|~sQ15_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f122])).
% 0.17/0.48 fof(f128,definition,(
% 0.17/0.48 sQ17_spl <=> (product(e_3,e_1,e_2))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f129,plain,(
% 0.17/0.48 product(e_3,e_1,e_2)|~sQ17_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f128])).
% 0.17/0.48 fof(f145,definition,(
% 0.17/0.48 sQ21_spl <=> (product(e_1,e_2,e_3))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f146,plain,(
% 0.17/0.48 product(e_1,e_2,e_3)|~sQ21_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f145])).
% 0.17/0.48 fof(f155,definition,(
% 0.17/0.48 sQ24_spl <=> (product(e_1,e_1,e_3))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f156,plain,(
% 0.17/0.48 product(e_1,e_1,e_3)|~sQ24_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f155])).
% 0.17/0.48 fof(f171,plain,(
% 0.17/0.48 product(e_1,e_1,e_1)|~sQ8_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f89,f82])).
% 0.17/0.48 fof(f172,plain,(
% 0.17/0.48 ![X0]: (~product(X0,e_1,e_1)|equalish(X0,e_1)|~sQ8_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f171,f40])).
% 0.17/0.48 fof(f183,plain,(
% 0.17/0.48 equalish(e_3,e_1)|~sQ8_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f172,f82])).
% 0.17/0.48 fof(f198,plain,(
% 0.17/0.48 ![X0]: (~product(X0,e_2,e_3)|product(X0,e_3,e_1)|~sQ5_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f72,f42])).
% 0.17/0.48 fof(f221,plain,(
% 0.17/0.48 ![X0]: (~product(X0,e_2,e_1)|product(X0,e_1,e_1)|~sQ3_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f66,f42])).
% 0.17/0.48 fof(f231,plain,(
% 0.17/0.48 product(e_3,e_3,e_3)|~sQ2_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f62,f22])).
% 0.17/0.48 fof(f240,plain,(
% 0.17/0.48 ![X0]: (product(e_2,e_1,X0)|~product(e_3,e_2,X0)|~sQ17_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f129,f24])).
% 0.17/0.48 fof(f257,plain,(
% 0.17/0.48 product(e_1,e_1,e_1)|~sQ15_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f123,f22])).
% 0.17/0.48 fof(f278,plain,(
% 0.17/0.48 ![X0]: (~product(X0,e_2,e_1)|product(X0,e_1,e_2)|~sQ12_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f113,f42])).
% 0.17/0.48 fof(f282,plain,(
% 0.17/0.48 product(e_3,e_1,e_1)|product(e_3,e_2,e_1)|product(e_3,e_3,e_1)),
% 0.17/0.48 inference(resolution,[status(thm)],[f48,f27])).
% 0.17/0.48 fof(f285,plain,(
% 0.17/0.48 sQ8_spl|sQ5_spl|sQ2_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f282,f81,f71,f61])).
% 0.17/0.48 fof(f296,plain,(
% 0.17/0.48 product(e_1,e_2,e_1)|product(e_1,e_2,e_2)|product(e_1,e_2,e_3)),
% 0.17/0.48 inference(resolution,[status(thm)],[f50,f25])).
% 0.17/0.48 fof(f299,plain,(
% 0.17/0.48 sQ3_spl|sQ12_spl|sQ21_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f296,f65,f112,f145])).
% 0.17/0.48 fof(f314,plain,(
% 0.17/0.48 ![X0]: (~product(e_3,e_3,X0)|equalish(X0,e_3)|~sQ2_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f231,f36])).
% 0.17/0.48 fof(f329,plain,(
% 0.17/0.48 product(e_3,e_1,e_1)|~sQ3_spl|~sQ5_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f221,f72])).
% 0.17/0.48 fof(f331,plain,(
% 0.17/0.48 sQ8_spl|~sQ3_spl|~sQ5_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f329,f81,f65,f71])).
% 0.17/0.48 fof(f362,plain,(
% 0.17/0.48 product(e_1,e_1,e_1)|~sQ24_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f156,f22])).
% 0.17/0.48 fof(f365,plain,(
% 0.17/0.48 product(e_1,e_3,e_1)|~sQ21_spl|~sQ5_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f146,f198])).
% 0.17/0.48 fof(f400,plain,(
% 0.17/0.48 product(e_1,e_1,e_1)|product(e_1,e_1,e_2)|product(e_1,e_1,e_3)),
% 0.17/0.48 inference(resolution,[status(thm)],[f51,f25])).
% 0.17/0.48 fof(f403,plain,(
% 0.17/0.48 sQ6_spl|sQ15_spl|sQ24_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f400,f75,f122,f155])).
% 0.17/0.48 fof(f418,plain,(
% 0.17/0.48 ![X0]: (~product(e_1,X0,e_1)|equalish(X0,e_3)|~sQ21_spl|~sQ5_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f365,f38])).
% 0.17/0.48 fof(f436,plain,(
% 0.17/0.48 equalish(e_1,e_3)|~sQ21_spl|~sQ5_spl|~sQ6_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f418,f76])).
% 0.17/0.48 fof(f437,plain,(
% 0.17/0.48 $false|~sQ21_spl|~sQ5_spl|~sQ6_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f436,f29])).
% 0.17/0.48 fof(f438,plain,(
% 0.17/0.48 ~sQ21_spl|~sQ5_spl|~sQ6_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f437])).
% 0.17/0.48 fof(f463,plain,(
% 0.17/0.48 $false|~sQ8_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f183,f32])).
% 0.17/0.48 fof(f464,plain,(
% 0.17/0.48 ~sQ8_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f463])).
% 0.17/0.48 fof(f510,plain,(
% 0.17/0.48 product(e_2,e_1,e_1)|~sQ5_spl|~sQ17_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f72,f240])).
% 0.17/0.48 fof(f525,plain,(
% 0.17/0.48 ![X0]: (~product(X0,e_1,e_1)|equalish(X0,e_2)|~sQ5_spl|~sQ17_spl)),
% 0.17/0.48 inference(resolution,[status(thm)],[f510,f40])).
% 0.17/0.48 fof(f588,plain,(
% 0.17/0.48 product(e_3,e_1,e_2)|~sQ5_spl|~sQ12_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f72,f278])).
% 0.17/0.48 fof(f624,plain,(
% 0.17/0.48 equalish(e_1,e_2)|~sQ5_spl|~sQ17_spl|~sQ6_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f525,f76])).
% 0.17/0.48 fof(f625,plain,(
% 0.17/0.48 $false|~sQ5_spl|~sQ17_spl|~sQ6_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f624,f28])).
% 0.17/0.48 fof(f626,plain,(
% 0.17/0.48 ~sQ5_spl|~sQ17_spl|~sQ6_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f625])).
% 0.17/0.48 fof(f627,plain,(
% 0.17/0.48 sQ6_spl|~sQ24_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f362,f75,f155])).
% 0.17/0.48 fof(f629,plain,(
% 0.17/0.48 sQ6_spl|~sQ15_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f257,f75,f122])).
% 0.17/0.48 fof(f632,plain,(
% 0.17/0.48 sQ17_spl|~sQ5_spl|~sQ12_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f588,f128,f71,f112])).
% 0.17/0.48 fof(f754,plain,(
% 0.17/0.48 equalish(e_1,e_3)|~sQ2_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f314,f62])).
% 0.17/0.48 fof(f756,plain,(
% 0.17/0.48 $false|~sQ2_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f754,f29])).
% 0.17/0.48 fof(f757,plain,(
% 0.17/0.48 ~sQ2_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f756])).
% 0.17/0.48 fof(f758,plain,(
% 0.17/0.48 $false),
% 0.17/0.48 inference(sat_refutation,[status(thm)],[f285,f299,f331,f403,f438,f464,f626,f627,f629,f632,f757])).
% 0.17/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.51 % Elapsed time: 0.067959 seconds
% 0.23/0.51 % CPU time: 0.212040 seconds
% 0.23/0.51 % Total memory used: 18.172 MB
% 0.23/0.51 % Net memory used: 17.777 MB
%------------------------------------------------------------------------------