0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 % Command : drodi -timeout(180) /export/starexec/sandbox2/benchmark/theBenchmark.p 0.09/0.37 % Computer : n007.cluster.edu 0.09/0.37 % Model : x86_64 x86_64 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.37 % Memory : 8046.5625MB 0.09/0.37 % OS : Linux 6.8.0-71-generic 0.09/0.37 % CPULimit : 1440 0.09/0.37 % WCLimit : 180 0.09/0.37 % DateTime : Mon Jul 27 08:54:48 UTC 2026 0.09/0.38 % CPUTime : 0.09/0.38 % Drodi V4.1.1 876.49/110.83 % Refutation found 876.49/110.83 % SZS status Theorem for theBenchmark: Theorem is valid 876.49/110.83 % SZS output start CNFRefutation for theBenchmark 876.49/110.83 fof(f1,axiom,( 876.49/110.83 (! [A] :( ( transitive_reflexive_rewrite(c,A)& transitive_reflexive_rewrite(b,A) )=> goal ) )), 876.49/110.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 876.49/110.83 fof(f2,conjecture,( 876.49/110.83 goal ), 876.49/110.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 876.49/110.83 fof(f3,negated_conjecture,( 876.49/110.83 ~(goal )), 876.49/110.83 inference(negated_conjecture,[status(cth)],[f2])). 876.49/110.83 fof(f4,axiom,( 876.49/110.83 (! [A,B] :( equalish(B,A)<= equalish(A,B) ) )), 876.49/110.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 876.49/110.83 fof(f5,axiom,( 876.49/110.83 (! [A,B,C] :( ( rewrite(A,C)& rewrite(A,B) )=> (? [D] :( transitive_reflexive_rewrite(B,D)& transitive_reflexive_rewrite(C,D) ) )) )), 876.49/110.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 876.49/110.83 fof(f6,axiom,( 876.49/110.83 (! [A,B] :( transitive_reflexive_rewrite(A,B)=> ( (? [C] :( rewrite(A,C)& transitive_reflexive_rewrite(C,B) ))| equalish(A,B) ) ) )), 876.49/110.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 876.49/110.83 fof(f7,axiom,( 876.49/110.83 (! [A,B,C] :( ( transitive_reflexive_rewrite(B,C)& transitive_reflexive_rewrite(A,B) )=> transitive_reflexive_rewrite(A,C) ) )), 876.49/110.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 876.49/110.83 fof(f9,axiom,( 876.49/110.83 (! [A,B,C] :( (? [D] :( transitive_reflexive_rewrite(C,D)& transitive_reflexive_rewrite(B,D) ))<= ( rewrite(a,A)& transitive_reflexive_rewrite(A,C)& transitive_reflexive_rewrite(A,B) ) ) )), 876.49/110.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 876.49/110.83 fof(f10,axiom,( 876.49/110.83 ( transitive_reflexive_rewrite(a,c)& transitive_reflexive_rewrite(a,b) ) ), 876.49/110.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 876.49/110.83 fof(f11,axiom,( 876.49/110.83 (! [A,B] :( transitive_reflexive_rewrite(A,B)<= equalish(A,B) ) )), 876.49/110.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 876.49/110.83 fof(f12,axiom,( 876.49/110.83 (! [A] : equalish(A,A) )), 876.49/110.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 876.49/110.83 fof(f13,plain,( 876.49/110.83 ![A]: ((~transitive_reflexive_rewrite(c,A)|~transitive_reflexive_rewrite(b,A))|goal)), 876.49/110.83 inference(pre_NNF_transformation,[status(thm)],[f1])). 876.49/110.83 fof(f14,plain,( 876.49/110.83 (![A]: (~transitive_reflexive_rewrite(c,A)|~transitive_reflexive_rewrite(b,A)))|goal), 876.49/110.83 inference(miniscoping,[status(thm)],[f13])). 876.49/110.83 fof(f15,plain,( 876.49/110.83 ![X0]: (~transitive_reflexive_rewrite(c,X0)|~transitive_reflexive_rewrite(b,X0)|goal)), 876.49/110.83 inference(cnf_transformation,[status(thm)],[f14])). 876.49/110.83 fof(f16,plain,( 876.49/110.83 ~goal), 876.49/110.83 inference(cnf_transformation,[status(thm)],[f3])). 876.49/110.83 fof(f17,plain,( 876.49/110.83 ![A,B]: (equalish(B,A)|~equalish(A,B))), 876.49/110.83 inference(pre_NNF_transformation,[status(thm)],[f4])). 876.49/110.83 fof(f18,plain,( 876.49/110.83 ![X0,X1]: (~equalish(X0,X1)|equalish(X1,X0))), 876.49/110.83 inference(cnf_transformation,[status(thm)],[f17])). 876.49/110.83 fof(f19,plain,( 876.49/110.83 ![A,B,C]: ((~rewrite(A,C)|~rewrite(A,B))|(?[D]: (transitive_reflexive_rewrite(B,D)&transitive_reflexive_rewrite(C,D))))), 876.49/110.83 inference(pre_NNF_transformation,[status(thm)],[f5])). 876.49/110.83 fof(f20,plain,( 876.49/110.83 ![B,C]: ((![A]: (~rewrite(A,C)|~rewrite(A,B)))|(?[D]: (transitive_reflexive_rewrite(B,D)&transitive_reflexive_rewrite(C,D))))), 876.49/110.83 inference(miniscoping,[status(thm)],[f19])). 876.49/110.83 fof(f21,plain,( 876.49/110.83 ![B,C]: ((![A]: (~rewrite(A,C)|~rewrite(A,B)))|(transitive_reflexive_rewrite(B,sK0_skl(C,B))&transitive_reflexive_rewrite(C,sK0_skl(C,B))))), 876.49/110.83 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f20])). 876.49/110.83 fof(f22,plain,( 876.49/110.83 ![X0,X1,X2]: (transitive_reflexive_rewrite(X0,sK0_skl(X1,X0))|~rewrite(X2,X1)|~rewrite(X2,X0))), 876.49/110.83 inference(cnf_transformation,[status(thm)],[f21])). 876.49/110.83 fof(f23,plain,( 876.49/110.83 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|transitive_reflexive_rewrite(X1,sK0_skl(X1,X2)))), 876.49/110.83 inference(cnf_transformation,[status(thm)],[f21])). 876.49/110.83 fof(f24,plain,( 876.49/110.83 ![A,B]: (~transitive_reflexive_rewrite(A,B)|((?[C]: (rewrite(A,C)&transitive_reflexive_rewrite(C,B)))|equalish(A,B)))), 876.49/110.83 inference(pre_NNF_transformation,[status(thm)],[f6])). 876.49/110.83 fof(f25,plain,( 876.49/110.83 ![A,B]: (~transitive_reflexive_rewrite(A,B)|((rewrite(A,sK1_skl(B,A))&transitive_reflexive_rewrite(sK1_skl(B,A),B))|equalish(A,B)))), 876.49/110.83 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f24])). 876.49/110.83 fof(f26,plain,( 876.49/110.83 ![X0,X1]: (rewrite(X0,sK1_skl(X1,X0))|equalish(X0,X1)|~transitive_reflexive_rewrite(X0,X1))), 876.49/110.83 inference(cnf_transformation,[status(thm)],[f25])). 876.49/110.83 fof(f27,plain,( 876.49/110.83 ![X0,X1]: (equalish(X0,X1)|~transitive_reflexive_rewrite(X0,X1)|transitive_reflexive_rewrite(sK1_skl(X1,X0),X1))), 876.49/110.83 inference(cnf_transformation,[status(thm)],[f25])). 876.49/110.83 fof(f28,plain,( 876.49/110.83 ![A,B,C]: ((~transitive_reflexive_rewrite(B,C)|~transitive_reflexive_rewrite(A,B))|transitive_reflexive_rewrite(A,C))), 876.49/110.83 inference(pre_NNF_transformation,[status(thm)],[f7])). 876.49/110.83 fof(f29,plain,( 876.49/110.83 ![A,C]: ((![B]: (~transitive_reflexive_rewrite(B,C)|~transitive_reflexive_rewrite(A,B)))|transitive_reflexive_rewrite(A,C))), 876.49/110.83 inference(miniscoping,[status(thm)],[f28])). 876.49/110.83 fof(f30,plain,( 876.49/110.83 ![X0,X1,X2]: (transitive_reflexive_rewrite(X0,X1)|~transitive_reflexive_rewrite(X0,X2)|~transitive_reflexive_rewrite(X2,X1))), 876.49/110.83 inference(cnf_transformation,[status(thm)],[f29])). 876.49/110.83 fof(f33,plain,( 876.49/110.83 ![A,B,C]: ((?[D]: (transitive_reflexive_rewrite(C,D)&transitive_reflexive_rewrite(B,D)))|((~rewrite(a,A)|~transitive_reflexive_rewrite(A,C))|~transitive_reflexive_rewrite(A,B)))), 876.49/110.83 inference(pre_NNF_transformation,[status(thm)],[f9])). 876.49/110.83 fof(f34,plain,( 876.49/110.83 ![B,C]: ((?[D]: (transitive_reflexive_rewrite(C,D)&transitive_reflexive_rewrite(B,D)))|(![A]: ((~rewrite(a,A)|~transitive_reflexive_rewrite(A,C))|~transitive_reflexive_rewrite(A,B))))), 876.49/110.83 inference(miniscoping,[status(thm)],[f33])). 876.49/110.83 fof(f35,plain,( 876.49/110.83 ![B,C]: ((transitive_reflexive_rewrite(C,sK2_skl(C,B))&transitive_reflexive_rewrite(B,sK2_skl(C,B)))|(![A]: ((~rewrite(a,A)|~transitive_reflexive_rewrite(A,C))|~transitive_reflexive_rewrite(A,B))))), 876.49/110.83 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(D,sK2_skl(C,B))],[f34])). 876.49/110.83 fof(f36,plain,( 876.49/110.83 ![X0,X1,X2]: (~transitive_reflexive_rewrite(X0,X1)|~rewrite(a,X0)|~transitive_reflexive_rewrite(X0,X2)|transitive_reflexive_rewrite(X1,sK2_skl(X1,X2)))), 876.49/110.83 inference(cnf_transformation,[status(thm)],[f35])). 876.49/110.83 fof(f37,plain,( 876.49/110.83 ![X0,X1,X2]: (~transitive_reflexive_rewrite(X0,X1)|transitive_reflexive_rewrite(X1,sK2_skl(X2,X1))|~transitive_reflexive_rewrite(X0,X2)|~rewrite(a,X0))), 876.49/110.83 inference(cnf_transformation,[status(thm)],[f35])). 876.49/110.83 fof(f38,plain,( 876.49/110.83 transitive_reflexive_rewrite(a,c)), 876.49/110.83 inference(cnf_transformation,[status(thm)],[f10])). 876.49/110.83 fof(f39,plain,( 876.49/110.83 transitive_reflexive_rewrite(a,b)), 876.49/110.83 inference(cnf_transformation,[status(thm)],[f10])). 876.49/110.83 fof(f40,plain,( 876.49/110.83 ![A,B]: (transitive_reflexive_rewrite(A,B)|~equalish(A,B))), 876.49/110.83 inference(pre_NNF_transformation,[status(thm)],[f11])). 876.49/110.83 fof(f41,plain,( 876.49/110.83 ![X0,X1]: (~equalish(X0,X1)|transitive_reflexive_rewrite(X0,X1))), 876.49/110.83 inference(cnf_transformation,[status(thm)],[f40])). 876.49/110.83 fof(f42,plain,( 876.49/110.83 ![X0]: (equalish(X0,X0))), 876.49/110.83 inference(cnf_transformation,[status(thm)],[f12])). 876.49/110.83 fof(f43,definition,( 876.49/110.83 ![X0]: (sQ0_spl <=> (~transitive_reflexive_rewrite(c,X0)|~transitive_reflexive_rewrite(b,X0)))), 876.49/110.83 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])). 876.49/110.83 fof(f44,plain,( 876.49/110.83 ![X0]: (~transitive_reflexive_rewrite(b,X0)|~transitive_reflexive_rewrite(c,X0)|~sQ0_spl)), 876.49/110.83 inference(component_clause,[status(thm)],[f43])). 876.49/110.83 fof(f46,definition,( 876.49/110.83 sQ1_spl <=> (goal)), 876.49/110.83 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])). 876.49/110.83 fof(f47,plain,( 876.49/110.83 goal|~sQ1_spl), 876.49/110.83 inference(component_clause,[status(thm)],[f46])). 876.49/110.83 fof(f49,plain,( 876.49/110.83 sQ0_spl|sQ1_spl), 876.49/110.83 inference(split_clause,[status(thm)],[f15,f43,f46])). 876.49/110.83 fof(f51,plain,( 876.49/110.83 ![X0]: (transitive_reflexive_rewrite(X0,X0))), 876.49/110.83 inference(resolution,[status(thm)],[f42,f41])). 876.49/110.83 fof(f52,plain,( 876.49/110.83 rewrite(a,sK1_skl(b,a))|equalish(a,b)), 876.49/110.83 inference(resolution,[status(thm)],[f39,f26])). 876.49/110.83 fof(f53,plain,( 876.49/110.83 equalish(a,b)|transitive_reflexive_rewrite(sK1_skl(b,a),b)), 876.49/110.83 inference(resolution,[status(thm)],[f39,f27])). 876.49/110.83 fof(f54,definition,( 876.49/110.83 sQ2_spl <=> (equalish(a,b))), 876.49/110.83 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])). 876.49/110.83 fof(f55,plain,( 876.49/110.83 equalish(a,b)|~sQ2_spl), 876.49/110.83 inference(component_clause,[status(thm)],[f54])). 876.49/110.83 fof(f57,definition,( 876.49/110.83 sQ3_spl <=> (transitive_reflexive_rewrite(sK1_skl(b,a),b))), 876.49/110.83 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])). 876.49/110.83 fof(f58,plain,( 876.49/110.83 transitive_reflexive_rewrite(sK1_skl(b,a),b)|~sQ3_spl), 876.49/110.83 inference(component_clause,[status(thm)],[f57])). 876.49/110.83 fof(f60,plain,( 876.49/110.83 sQ2_spl|sQ3_spl), 876.49/110.83 inference(split_clause,[status(thm)],[f53,f54,f57])). 876.49/110.83 fof(f61,definition,( 876.49/110.83 sQ4_spl <=> (rewrite(a,sK1_skl(b,a)))), 876.49/110.83 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])). 876.49/110.83 fof(f62,plain,( 876.49/110.83 rewrite(a,sK1_skl(b,a))|~sQ4_spl), 876.49/110.83 inference(component_clause,[status(thm)],[f61])). 876.49/110.83 fof(f64,plain,( 876.49/110.83 sQ4_spl|sQ2_spl), 876.49/110.83 inference(split_clause,[status(thm)],[f52,f61,f54])). 876.49/110.83 fof(f66,plain,( 876.49/110.83 ![X0]: (transitive_reflexive_rewrite(X0,b)|~transitive_reflexive_rewrite(X0,a))), 876.49/110.83 inference(resolution,[status(thm)],[f30,f39])). 876.49/110.83 fof(f68,plain,( 876.49/110.83 ~transitive_reflexive_rewrite(c,b)|~sQ0_spl), 876.49/110.83 inference(resolution,[status(thm)],[f51,f44])). 876.49/110.83 fof(f75,plain,( 876.49/110.83 ![X0]: (transitive_reflexive_rewrite(X0,c)|~transitive_reflexive_rewrite(X0,a))), 876.49/110.83 inference(resolution,[status(thm)],[f38,f30])). 876.49/110.83 fof(f77,plain,( 876.49/110.83 rewrite(a,sK1_skl(c,a))|equalish(a,c)), 876.49/110.83 inference(resolution,[status(thm)],[f38,f26])). 876.49/110.83 fof(f78,plain,( 876.49/110.83 equalish(a,c)|transitive_reflexive_rewrite(sK1_skl(c,a),c)), 876.49/110.83 inference(resolution,[status(thm)],[f38,f27])). 876.49/110.83 fof(f79,definition,( 876.49/110.83 sQ5_spl <=> (rewrite(a,sK1_skl(c,a)))), 876.49/110.83 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])). 876.49/110.83 fof(f80,plain,( 876.49/110.83 rewrite(a,sK1_skl(c,a))|~sQ5_spl), 876.49/110.83 inference(component_clause,[status(thm)],[f79])). 876.49/110.83 fof(f82,definition,( 876.49/110.83 sQ6_spl <=> (equalish(a,c))), 876.49/110.83 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])). 876.49/110.83 fof(f83,plain,( 876.49/110.83 equalish(a,c)|~sQ6_spl), 876.49/110.83 inference(component_clause,[status(thm)],[f82])). 876.49/110.83 fof(f85,plain,( 876.49/110.83 sQ5_spl|sQ6_spl), 876.49/110.83 inference(split_clause,[status(thm)],[f77,f79,f82])). 876.49/110.83 fof(f86,definition,( 876.49/110.83 sQ7_spl <=> (transitive_reflexive_rewrite(sK1_skl(c,a),c))), 876.49/110.83 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])). 876.49/110.83 fof(f87,plain,( 876.49/110.83 transitive_reflexive_rewrite(sK1_skl(c,a),c)|~sQ7_spl), 876.49/110.83 inference(component_clause,[status(thm)],[f86])). 876.49/110.83 fof(f89,plain,( 876.49/110.83 sQ6_spl|sQ7_spl), 876.49/110.83 inference(split_clause,[status(thm)],[f78,f82,f86])). 876.49/110.83 fof(f90,plain,( 876.49/110.83 equalish(b,a)|~sQ2_spl), 876.49/110.83 inference(resolution,[status(thm)],[f55,f18])). 876.49/110.83 fof(f96,plain,( 876.49/110.83 equalish(c,a)|~sQ6_spl), 876.49/110.83 inference(resolution,[status(thm)],[f83,f18])). 876.49/110.83 fof(f101,plain,( 876.49/110.83 transitive_reflexive_rewrite(c,a)|~sQ6_spl), 876.49/110.83 inference(resolution,[status(thm)],[f96,f41])). 876.49/110.83 fof(f110,definition,( 876.49/110.83 sQ8_spl <=> (equalish(b,a))), 876.49/110.83 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])). 876.49/110.83 fof(f111,plain,( 876.49/110.83 equalish(b,a)|~sQ8_spl), 876.49/110.83 inference(component_clause,[status(thm)],[f110])). 876.49/110.83 fof(f121,plain,( 876.49/110.83 ![X0,X1]: (~transitive_reflexive_rewrite(sK1_skl(b,a),X0)|~transitive_reflexive_rewrite(sK1_skl(b,a),X1)|transitive_reflexive_rewrite(X1,sK2_skl(X1,X0))|~sQ4_spl)), 876.49/110.83 inference(resolution,[status(thm)],[f62,f36])). 876.49/110.83 fof(f122,plain,( 876.49/110.83 ![X0,X1]: (~transitive_reflexive_rewrite(sK1_skl(b,a),X0)|~transitive_reflexive_rewrite(sK1_skl(b,a),X1)|transitive_reflexive_rewrite(X0,sK2_skl(X1,X0))|~sQ4_spl)), 876.49/110.83 inference(resolution,[status(thm)],[f62,f37])). 876.49/110.83 fof(f123,plain,( 876.49/110.83 ![X0]: (transitive_reflexive_rewrite(X0,sK0_skl(sK1_skl(b,a),X0))|~rewrite(a,X0)|~sQ4_spl)), 876.49/110.83 inference(resolution,[status(thm)],[f62,f22])). 876.49/110.83 fof(f142,plain,( 876.49/110.83 ![X0]: (~transitive_reflexive_rewrite(sK1_skl(b,a),X0)|transitive_reflexive_rewrite(X0,sK2_skl(b,X0))|~sQ4_spl|~sQ3_spl)), 876.49/110.83 inference(resolution,[status(thm)],[f122,f58])). 876.49/110.83 fof(f144,plain,( 876.49/110.83 ![X0]: (transitive_reflexive_rewrite(b,sK2_skl(b,X0))|~transitive_reflexive_rewrite(sK1_skl(b,a),X0)|~sQ4_spl|~sQ3_spl)), 876.49/110.83 inference(resolution,[status(thm)],[f121,f58])). 876.49/110.83 fof(f149,plain,( 876.49/110.83 transitive_reflexive_rewrite(c,b)|~sQ6_spl), 876.49/110.83 inference(resolution,[status(thm)],[f101,f66])). 876.49/110.83 fof(f161,plain,( 876.49/110.83 $false|~sQ0_spl|~sQ6_spl), 876.49/110.83 inference(forward_subsumption_resolution,[status(thm)],[f149,f68])). 876.49/110.83 fof(f162,plain,( 876.49/110.83 ~sQ0_spl|~sQ6_spl), 876.49/110.83 inference(contradiction_clause,[status(thm)],[f161])). 876.49/110.83 fof(f163,plain,( 876.49/110.83 $false|~sQ1_spl), 876.49/110.83 inference(forward_subsumption_resolution,[status(thm)],[f47,f16])). 876.49/110.83 fof(f164,plain,( 876.49/110.83 ~sQ1_spl), 876.49/110.83 inference(contradiction_clause,[status(thm)],[f163])). 876.49/110.83 fof(f167,plain,( 876.49/110.83 transitive_reflexive_rewrite(b,a)|~sQ8_spl), 876.49/110.83 inference(resolution,[status(thm)],[f111,f41])). 876.49/110.83 fof(f188,plain,( 876.49/110.83 transitive_reflexive_rewrite(sK1_skl(c,a),sK0_skl(sK1_skl(b,a),sK1_skl(c,a)))|~sQ5_spl|~sQ4_spl), 876.49/110.83 inference(resolution,[status(thm)],[f80,f123])). 876.49/110.83 fof(f190,plain,( 876.49/110.83 ![X0,X1]: (transitive_reflexive_rewrite(X0,sK2_skl(X0,X1))|~transitive_reflexive_rewrite(sK1_skl(c,a),X0)|~transitive_reflexive_rewrite(sK1_skl(c,a),X1)|~sQ5_spl)), 876.49/110.83 inference(resolution,[status(thm)],[f80,f36])). 876.49/110.83 fof(f191,plain,( 876.49/110.83 ![X0,X1]: (~transitive_reflexive_rewrite(sK1_skl(c,a),X0)|transitive_reflexive_rewrite(X0,sK2_skl(X1,X0))|~transitive_reflexive_rewrite(sK1_skl(c,a),X1)|~sQ5_spl)), 876.49/110.83 inference(resolution,[status(thm)],[f80,f37])). 876.49/110.83 fof(f193,plain,( 876.49/110.83 ![X0]: (~rewrite(a,X0)|transitive_reflexive_rewrite(X0,sK0_skl(X0,sK1_skl(c,a)))|~sQ5_spl)), 876.49/110.83 inference(resolution,[status(thm)],[f80,f23])). 876.49/110.83 fof(f238,plain,( 876.49/110.83 transitive_reflexive_rewrite(sK1_skl(b,a),sK0_skl(sK1_skl(b,a),sK1_skl(c,a)))|~sQ5_spl|~sQ4_spl), 876.49/110.83 inference(resolution,[status(thm)],[f193,f62])). 876.49/110.83 fof(f242,plain,( 876.49/110.83 ![X0]: (transitive_reflexive_rewrite(X0,sK2_skl(X0,c))|~transitive_reflexive_rewrite(sK1_skl(c,a),X0)|~sQ5_spl|~sQ7_spl)), 876.49/110.83 inference(resolution,[status(thm)],[f190,f87])). 876.49/110.83 fof(f268,plain,( 876.49/110.83 transitive_reflexive_rewrite(b,c)|~sQ8_spl), 876.49/110.83 inference(resolution,[status(thm)],[f167,f75])). 876.49/110.83 fof(f307,plain,( 876.49/110.83 ![X0]: (~transitive_reflexive_rewrite(sK1_skl(c,a),X0)|transitive_reflexive_rewrite(X0,sK2_skl(sK0_skl(sK1_skl(b,a),sK1_skl(c,a)),X0))|~sQ4_spl|~sQ5_spl)), 876.49/110.83 inference(resolution,[status(thm)],[f188,f191])). 876.49/110.83 fof(f395,plain,( 876.49/110.83 ![X0]: (transitive_reflexive_rewrite(sK1_skl(b,a),X0)|~transitive_reflexive_rewrite(sK0_skl(sK1_skl(b,a),sK1_skl(c,a)),X0)|~sQ5_spl|~sQ4_spl)), 876.49/110.83 inference(resolution,[status(thm)],[f238,f30])). 876.49/110.83 fof(f414,plain,( 876.49/110.83 transitive_reflexive_rewrite(sK0_skl(sK1_skl(b,a),sK1_skl(c,a)),sK2_skl(sK0_skl(sK1_skl(b,a),sK1_skl(c,a)),c))|~sQ7_spl|~sQ5_spl|~sQ4_spl), 876.49/110.83 inference(resolution,[status(thm)],[f242,f188])). 876.49/110.83 fof(f631,plain,( 876.49/110.83 ~transitive_reflexive_rewrite(c,c)|~sQ8_spl|~sQ0_spl), 876.49/110.83 inference(resolution,[status(thm)],[f268,f44])). 876.49/110.83 fof(f645,plain,( 876.49/110.83 $false|~sQ8_spl|~sQ0_spl), 876.49/110.83 inference(forward_subsumption_resolution,[status(thm)],[f631,f51])). 876.49/110.83 fof(f646,plain,( 876.49/110.83 ~sQ8_spl|~sQ0_spl), 876.49/110.83 inference(contradiction_clause,[status(thm)],[f645])). 876.49/110.83 fof(f746,plain,( 876.49/110.83 transitive_reflexive_rewrite(c,sK2_skl(sK0_skl(sK1_skl(b,a),sK1_skl(c,a)),c))|~sQ4_spl|~sQ5_spl|~sQ7_spl), 876.49/110.83 inference(resolution,[status(thm)],[f307,f87])). 876.49/110.83 fof(f1444,plain,( 876.49/110.83 transitive_reflexive_rewrite(sK1_skl(b,a),sK2_skl(sK0_skl(sK1_skl(b,a),sK1_skl(c,a)),c))|~sQ7_spl|~sQ5_spl|~sQ4_spl), 876.49/110.83 inference(resolution,[status(thm)],[f414,f395])). 876.49/110.83 fof(f3251,plain,( 876.49/110.83 ![X0]: (~transitive_reflexive_rewrite(sK2_skl(sK0_skl(sK1_skl(b,a),sK1_skl(c,a)),c),X0)|transitive_reflexive_rewrite(c,X0)|~sQ4_spl|~sQ5_spl|~sQ7_spl)), 876.49/110.83 inference(resolution,[status(thm)],[f746,f30])). 876.49/110.83 fof(f6744,plain,( 876.49/110.83 transitive_reflexive_rewrite(b,sK2_skl(b,sK2_skl(sK0_skl(sK1_skl(b,a),sK1_skl(c,a)),c)))|~sQ7_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl), 876.49/110.83 inference(resolution,[status(thm)],[f1444,f144])). 876.49/110.83 fof(f6746,plain,( 876.49/110.83 transitive_reflexive_rewrite(sK2_skl(sK0_skl(sK1_skl(b,a),sK1_skl(c,a)),c),sK2_skl(b,sK2_skl(sK0_skl(sK1_skl(b,a),sK1_skl(c,a)),c)))|~sQ7_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl), 876.49/110.83 inference(resolution,[status(thm)],[f1444,f142])). 876.49/110.83 fof(f49930,plain,( 876.49/110.83 ~transitive_reflexive_rewrite(c,sK2_skl(b,sK2_skl(sK0_skl(sK1_skl(b,a),sK1_skl(c,a)),c)))|~sQ7_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl), 876.49/110.83 inference(resolution,[status(thm)],[f6744,f44])). 876.49/110.83 fof(f50126,plain,( 876.49/110.83 transitive_reflexive_rewrite(c,sK2_skl(b,sK2_skl(sK0_skl(sK1_skl(b,a),sK1_skl(c,a)),c)))|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ7_spl), 876.49/110.87 inference(resolution,[status(thm)],[f6746,f3251])). 876.49/110.87 fof(f50143,plain,( 876.49/110.87 $false|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ7_spl), 876.49/110.87 inference(forward_subsumption_resolution,[status(thm)],[f50126,f49930])). 876.49/110.87 fof(f50144,plain,( 876.49/110.87 ~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ7_spl), 876.49/110.87 inference(contradiction_clause,[status(thm)],[f50143])). 876.49/110.87 fof(f50145,plain,( 876.49/110.87 sQ8_spl|~sQ2_spl), 876.49/110.87 inference(split_clause,[status(thm)],[f90,f110,f54])). 876.49/110.87 fof(f50148,plain,( 876.49/110.87 $false), 876.49/110.87 inference(sat_refutation,[status(thm)],[f49,f60,f64,f85,f89,f162,f164,f646,f50144,f50145])). 876.49/110.87 % SZS output end CNFRefutation for theBenchmark.p 705.10/112.12 % Elapsed time: 111.521673 seconds 705.10/112.12 % CPU time: 852.471397 seconds 705.10/112.12 % Total memory used: 739.868 MB 705.10/112.12 % Net memory used: 652.253 MB 705.10/112.13 EOF