0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : python3 prover_driver.py --schedule_mode external --schedule fof_schedule --no_cores 8 --problem_version fof /export/starexec/sandbox/benchmark/theBenchmark.p 120 --prover /export/starexec/sandbox/solver/bin/res/iproveropt_no_z3 0.14/0.35 % Computer : n022.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Aug 9 02:20:02 EDT 2022 0.14/0.36 % CPUTime : 4.27/1.52 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p 4.27/1.52 4.27/1.52 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 4.27/1.52 4.27/1.52 ------ iProver source info 4.27/1.52 4.27/1.52 git: date: 2022-07-26 19:47:37 +0300 4.27/1.52 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 4.27/1.52 git: non_committed_changes: false 4.27/1.52 git: last_make_outside_of_git: false 4.27/1.52 4.27/1.52 ------ Parsing... 4.27/1.52 ------ Clausification by vclausify_rel & Parsing by iProver... 4.27/1.52 4.27/1.52 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e 4.27/1.52 4.27/1.52 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 4.27/1.52 4.27/1.52 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 4.27/1.52 ------ Proving... 4.27/1.52 ------ Problem Properties 4.27/1.52 4.27/1.52 4.27/1.52 clauses 8 4.27/1.52 conjectures 4 4.27/1.52 EPR 3 4.27/1.52 Horn 8 4.27/1.52 unary 5 4.27/1.52 binary 3 4.27/1.52 lits 11 4.27/1.52 lits eq 5 4.27/1.52 fd_pure 0 4.27/1.52 fd_pseudo 0 4.27/1.52 fd_cond 0 4.27/1.52 fd_pseudo_cond 0 4.27/1.52 AC symbols 0 4.27/1.52 4.27/1.52 ------ Schedule dynamic 5 is on 4.27/1.52 4.27/1.52 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10. 4.27/1.52 4.27/1.52 4.27/1.52 ------ 4.27/1.52 Current options: 4.27/1.52 ------ 4.27/1.52 4.27/1.52 4.27/1.52 4.27/1.52 4.27/1.52 ------ Proving... 4.27/1.52 4.27/1.52 4.27/1.52 % SZS status Theorem for theBenchmark.p 4.27/1.52 4.27/1.52 % SZS output start CNFRefutation for theBenchmark.p 4.27/1.52 4.27/1.52 fof(f2,conjecture,( 4.27/1.52 ! [X2,X0,X1] : ((element(X2) & times(X2,X0) = X1 & element(X0)) => element(X1))), 4.27/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture_1)). 4.27/1.52 4.27/1.52 fof(f3,negated_conjecture,( 4.27/1.52 ~! [X2,X0,X1] : ((element(X2) & times(X2,X0) = X1 & element(X0)) => element(X1))), 4.27/1.52 inference(negated_conjecture,[],[f2])). 4.27/1.52 4.27/1.52 fof(f5,plain,( 4.27/1.52 ~! [X0,X1,X2] : ((element(X0) & times(X0,X1) = X2 & element(X1)) => element(X2))), 4.27/1.52 inference(rectify,[],[f3])). 4.27/1.52 4.27/1.52 fof(f7,plain,( 4.27/1.52 ? [X0,X1,X2] : (~element(X2) & (element(X0) & times(X0,X1) = X2 & element(X1)))), 4.27/1.52 inference(ennf_transformation,[],[f5])). 4.27/1.52 4.27/1.52 fof(f8,plain,( 4.27/1.52 ? [X0,X1,X2] : (~element(X2) & element(X0) & times(X0,X1) = X2 & element(X1))), 4.27/1.52 inference(flattening,[],[f7])). 4.27/1.52 4.27/1.52 fof(f13,plain,( 4.27/1.52 ? [X0,X1,X2] : (~element(X2) & element(X0) & times(X0,X1) = X2 & element(X1)) => (~element(sK3) & element(sK1) & sK3 = times(sK1,sK2) & element(sK2))), 4.27/1.52 introduced(choice_axiom,[])). 4.27/1.52 4.27/1.52 fof(f14,plain,( 4.27/1.52 ~element(sK3) & element(sK1) & sK3 = times(sK1,sK2) & element(sK2)), 4.27/1.52 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f8,f13])). 4.27/1.52 4.27/1.52 fof(f19,plain,( 4.27/1.52 sK3 = times(sK1,sK2)), 4.27/1.52 inference(cnf_transformation,[],[f14])). 4.27/1.52 4.27/1.52 fof(f18,plain,( 4.27/1.52 element(sK2)), 4.27/1.52 inference(cnf_transformation,[],[f14])). 4.27/1.52 4.27/1.52 fof(f1,axiom,( 4.27/1.52 ! [X0] : (element(X0) <=> ? [X1] : (times(X0,X1) = X0 & times(X0,X0) = X1))), 4.27/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2)). 4.27/1.52 4.27/1.52 fof(f9,plain,( 4.27/1.52 ! [X0] : ((element(X0) | ! [X1] : (times(X0,X1) != X0 | times(X0,X0) != X1)) & (? [X1] : (times(X0,X1) = X0 & times(X0,X0) = X1) | ~element(X0)))), 4.27/1.52 inference(nnf_transformation,[],[f1])). 4.27/1.52 4.27/1.52 fof(f10,plain,( 4.27/1.52 ! [X0] : ((element(X0) | ! [X1] : (times(X0,X1) != X0 | times(X0,X0) != X1)) & (? [X2] : (times(X0,X2) = X0 & times(X0,X0) = X2) | ~element(X0)))), 4.27/1.52 inference(rectify,[],[f9])). 4.27/1.52 4.27/1.52 fof(f11,plain,( 4.27/1.52 ! [X0] : (? [X2] : (times(X0,X2) = X0 & times(X0,X0) = X2) => (times(X0,sK0(X0)) = X0 & times(X0,X0) = sK0(X0)))), 4.27/1.52 introduced(choice_axiom,[])). 4.27/1.52 4.27/1.52 fof(f12,plain,( 4.27/1.52 ! [X0] : ((element(X0) | ! [X1] : (times(X0,X1) != X0 | times(X0,X0) != X1)) & ((times(X0,sK0(X0)) = X0 & times(X0,X0) = sK0(X0)) | ~element(X0)))), 4.27/1.52 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f10,f11])). 4.27/1.52 4.27/1.52 fof(f15,plain,( 4.27/1.52 ( ! [X0] : (times(X0,X0) = sK0(X0) | ~element(X0)) )), 4.27/1.52 inference(cnf_transformation,[],[f12])). 4.27/1.52 4.27/1.52 fof(f4,axiom,( 4.27/1.52 ! [X2,X0,X1] : times(times(X2,X0),X1) = times(X0,times(X1,X2))), 4.27/1.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1)). 4.27/1.52 4.27/1.52 fof(f6,plain,( 4.27/1.52 ! [X0,X1,X2] : times(times(X0,X1),X2) = times(X1,times(X2,X0))), 4.27/1.52 inference(rectify,[],[f4])). 4.27/1.52 4.27/1.52 fof(f22,plain,( 4.27/1.52 ( ! [X2,X0,X1] : (times(times(X0,X1),X2) = times(X1,times(X2,X0))) )), 4.27/1.52 inference(cnf_transformation,[],[f6])). 4.27/1.52 4.27/1.52 fof(f16,plain,( 4.27/1.52 ( ! [X0] : (times(X0,sK0(X0)) = X0 | ~element(X0)) )), 4.27/1.52 inference(cnf_transformation,[],[f12])). 4.27/1.52 4.27/1.52 fof(f20,plain,( 4.27/1.52 element(sK1)), 4.27/1.52 inference(cnf_transformation,[],[f14])). 4.27/1.52 4.27/1.52 fof(f17,plain,( 4.27/1.52 ( ! [X0,X1] : (element(X0) | times(X0,X1) != X0 | times(X0,X0) != X1) )), 4.27/1.52 inference(cnf_transformation,[],[f12])). 4.27/1.52 4.27/1.52 fof(f23,plain,( 4.27/1.52 ( ! [X0] : (element(X0) | times(X0,times(X0,X0)) != X0) )), 4.27/1.52 inference(equality_resolution,[],[f17])). 4.27/1.52 4.27/1.52 fof(f21,plain,( 4.27/1.52 ~element(sK3)), 4.27/1.52 inference(cnf_transformation,[],[f14])). 4.27/1.52 4.27/1.52 cnf(c_54,negated_conjecture, 4.27/1.52 ( times(sK1,sK2) = sK3 ), 4.27/1.52 inference(cnf_transformation,[],[f19]) ). 4.27/1.52 4.27/1.52 cnf(c_55,negated_conjecture, 4.27/1.52 ( element(sK2) ), 4.27/1.52 inference(cnf_transformation,[],[f18]) ). 4.27/1.52 4.27/1.52 cnf(c_51,plain, 4.27/1.52 ( ~ element(X0) | times(X0,X0) = sK0(X0) ), 4.27/1.52 inference(cnf_transformation,[],[f15]) ). 4.27/1.52 4.27/1.52 cnf(c_262,plain, 4.27/1.52 ( times(sK2,sK2) = sK0(sK2) ), 4.27/1.52 inference(superposition,[status(thm)],[c_55,c_51]) ). 4.27/1.52 4.27/1.52 cnf(c_56,plain, 4.27/1.52 ( times(times(X0,X1),X2) = times(X1,times(X2,X0)) ), 4.27/1.52 inference(cnf_transformation,[],[f22]) ). 4.27/1.52 4.27/1.52 cnf(c_288,plain, 4.27/1.52 ( times(sK2,times(X0,sK2)) = times(sK0(sK2),X0) ), 4.27/1.52 inference(superposition,[status(thm)],[c_262,c_56]) ). 4.27/1.52 4.27/1.52 cnf(c_376,plain, 4.27/1.52 ( times(sK0(sK2),sK1) = times(sK2,sK3) ), 4.27/1.52 inference(superposition,[status(thm)],[c_54,c_288]) ). 4.27/1.52 4.27/1.52 cnf(c_268,plain, 4.27/1.52 ( times(sK2,times(X0,sK1)) = times(sK3,X0) ), 4.27/1.52 inference(superposition,[status(thm)],[c_54,c_56]) ). 4.27/1.52 4.27/1.52 cnf(c_397,plain, 4.27/1.52 ( times(sK2,times(sK2,sK3)) = times(sK3,sK0(sK2)) ), 4.27/1.52 inference(superposition,[status(thm)],[c_376,c_268]) ). 4.27/1.52 4.27/1.52 cnf(c_275,plain, 4.27/1.52 ( times(times(X0,times(X1,X2)),X3) = times(X1,times(X3,times(X2,X0))) ), 4.27/1.52 inference(superposition,[status(thm)],[c_56,c_56]) ). 4.27/1.52 4.27/1.52 cnf(c_409,plain, 4.27/1.52 ( times(X0,times(X1,times(X2,X3))) = times(X2,times(X3,times(X0,X1))) ), 4.27/1.52 inference(demodulation,[status(thm)],[c_275,c_56]) ). 4.27/1.52 4.27/1.52 cnf(c_449,plain, 4.27/1.52 ( times(sK1,times(sK2,times(X0,X1))) = times(X0,times(X1,sK3)) ), 4.27/1.52 inference(superposition,[status(thm)],[c_54,c_409]) ). 4.27/1.52 4.27/1.52 cnf(c_690,plain, 4.27/1.52 ( times(sK1,times(sK2,sK0(sK2))) = times(sK2,times(sK2,sK3)) ), 4.27/1.52 inference(superposition,[status(thm)],[c_262,c_449]) ). 4.27/1.52 4.27/1.52 cnf(c_50,plain, 4.27/1.52 ( ~ element(X0) | times(X0,sK0(X0)) = X0 ), 4.27/1.52 inference(cnf_transformation,[],[f16]) ). 4.27/1.52 4.27/1.52 cnf(c_256,plain, 4.27/1.52 ( times(sK2,sK0(sK2)) = sK2 ), 4.27/1.52 inference(superposition,[status(thm)],[c_55,c_50]) ). 4.27/1.52 4.27/1.52 cnf(c_728,plain, 4.27/1.52 ( times(sK3,sK0(sK2)) = sK3 ), 4.27/1.52 inference(light_normalisation, 4.27/1.52 [status(thm)], 4.27/1.52 [c_690,c_54,c_256,c_397]) ). 4.27/1.52 4.27/1.52 cnf(c_845,plain, 4.27/1.52 ( times(sK2,times(sK2,sK3)) = sK3 ), 4.27/1.52 inference(light_normalisation,[status(thm)],[c_397,c_728]) ). 4.27/1.52 4.27/1.52 cnf(c_852,plain, 4.27/1.52 ( times(sK2,times(sK3,sK3)) = times(sK1,sK3) ), 4.27/1.52 inference(superposition,[status(thm)],[c_845,c_449]) ). 4.27/1.52 4.27/1.52 cnf(c_868,plain, 4.27/1.52 ( times(sK3,times(sK3,sK3)) = times(sK1,times(sK1,sK3)) ), 4.27/1.52 inference(superposition,[status(thm)],[c_852,c_449]) ). 4.27/1.52 4.27/1.52 cnf(c_53,negated_conjecture, 4.27/1.52 ( element(sK1) ), 4.27/1.52 inference(cnf_transformation,[],[f20]) ). 4.27/1.52 4.27/1.52 cnf(c_261,plain, 4.27/1.52 ( times(sK1,sK1) = sK0(sK1) ), 4.27/1.52 inference(superposition,[status(thm)],[c_53,c_51]) ). 4.27/1.52 4.27/1.52 cnf(c_688,plain, 4.27/1.52 ( times(sK1,times(sK2,sK0(sK1))) = times(sK1,times(sK1,sK3)) ), 4.27/1.52 inference(superposition,[status(thm)],[c_261,c_449]) ). 4.27/1.52 4.27/1.52 cnf(c_291,plain, 4.27/1.52 ( times(sK2,sK0(sK1)) = times(sK3,sK1) ), 4.27/1.52 inference(superposition,[status(thm)],[c_261,c_268]) ). 4.27/1.52 4.27/1.52 cnf(c_270,plain, 4.27/1.52 ( times(sK1,times(X0,sK1)) = times(sK0(sK1),X0) ), 4.27/1.52 inference(superposition,[status(thm)],[c_261,c_56]) ). 4.27/1.52 4.27/1.52 cnf(c_301,plain, 4.27/1.52 ( times(sK0(sK1),sK1) = times(sK1,sK0(sK1)) ), 4.27/1.52 inference(superposition,[status(thm)],[c_261,c_270]) ). 4.27/1.52 4.27/1.52 cnf(c_255,plain, 4.27/1.52 ( times(sK1,sK0(sK1)) = sK1 ), 4.27/1.52 inference(superposition,[status(thm)],[c_53,c_50]) ). 4.27/1.52 4.27/1.52 cnf(c_304,plain, 4.27/1.52 ( times(sK0(sK1),sK1) = sK1 ), 4.27/1.52 inference(light_normalisation,[status(thm)],[c_301,c_255]) ). 4.27/1.52 4.27/1.52 cnf(c_315,plain, 4.27/1.52 ( times(sK1,times(X0,sK0(sK1))) = times(sK1,X0) ), 4.27/1.52 inference(superposition,[status(thm)],[c_304,c_56]) ). 4.27/1.52 4.27/1.52 cnf(c_659,plain, 4.27/1.52 ( times(sK1,times(sK3,sK1)) = times(sK1,sK2) ), 4.27/1.52 inference(superposition,[status(thm)],[c_291,c_315]) ). 4.27/1.52 4.27/1.52 cnf(c_666,plain, 4.27/1.52 ( times(sK1,times(sK3,sK1)) = sK3 ), 4.27/1.52 inference(light_normalisation,[status(thm)],[c_659,c_54]) ). 4.27/1.52 4.27/1.52 cnf(c_730,plain, 4.27/1.52 ( times(sK1,times(sK1,sK3)) = sK3 ), 4.27/1.52 inference(light_normalisation,[status(thm)],[c_688,c_291,c_666]) ). 4.27/1.52 4.27/1.52 cnf(c_869,plain, 4.27/1.52 ( times(sK3,times(sK3,sK3)) = sK3 ), 4.27/1.52 inference(light_normalisation,[status(thm)],[c_868,c_730]) ). 4.27/1.52 4.27/1.52 cnf(c_49,plain, 4.27/1.52 ( times(X0,times(X0,X0)) != X0 | element(X0) ), 4.27/1.52 inference(cnf_transformation,[],[f23]) ). 4.27/1.52 4.27/1.52 cnf(c_52,negated_conjecture, 4.27/1.52 ( ~ element(sK3) ), 4.27/1.52 inference(cnf_transformation,[],[f21]) ). 4.27/1.52 4.27/1.52 cnf(c_115,plain, 4.27/1.52 ( times(X0,times(X0,X0)) != X0 | X0 != sK3 ), 4.27/1.52 inference(resolution_lifted,[status(thm)],[c_49,c_52]) ). 4.27/1.52 4.27/1.52 cnf(c_116,plain, 4.27/1.52 ( times(sK3,times(sK3,sK3)) != sK3 ), 4.27/1.52 inference(unflattening,[status(thm)],[c_115]) ). 4.27/1.52 4.27/1.52 cnf(contradiction,plain, 4.27/1.52 ( $false ), 4.27/1.52 inference(minisat,[status(thm)],[c_869,c_116]) ). 4.27/1.52 4.27/1.52 4.27/1.52 % SZS output end CNFRefutation for theBenchmark.p 4.27/1.52 4.27/1.52 ------ Statistics 4.27/1.52 4.27/1.52 ------ Selected 4.27/1.52 4.27/1.52 total_time: 0.072 4.27/1.52 4.27/1.54 EOF