0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.11 % Command : python3 prover_driver.py --schedule_mode external --schedule fof_schedule --no_cores 8 --problem_version fof /export/starexec/sandbox2/benchmark/theBenchmark.p 120 --prover /export/starexec/sandbox2/solver/bin/res/iproveropt_no_z3 0.10/0.31 % Computer : n018.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Tue Aug 9 02:14:00 EDT 2022 0.10/0.32 % CPUTime : 4.23/1.77 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p 4.23/1.77 4.23/1.77 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 4.23/1.77 4.23/1.77 ------ iProver source info 4.23/1.77 4.23/1.77 git: date: 2022-07-26 19:47:37 +0300 4.23/1.77 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 4.23/1.77 git: non_committed_changes: false 4.23/1.77 git: last_make_outside_of_git: false 4.23/1.77 4.23/1.77 ------ Parsing... 4.23/1.77 ------ Clausification by vclausify_rel & Parsing by iProver... 4.23/1.77 4.23/1.77 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e 4.23/1.77 4.23/1.77 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 4.23/1.77 4.23/1.77 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 4.23/1.77 ------ Proving... 4.23/1.77 ------ Problem Properties 4.23/1.77 4.23/1.77 4.23/1.77 clauses 12 4.23/1.77 conjectures 6 4.23/1.77 EPR 1 4.23/1.77 Horn 12 4.23/1.77 unary 1 4.23/1.77 binary 7 4.23/1.77 lits 27 4.23/1.77 lits eq 6 4.23/1.77 fd_pure 0 4.23/1.77 fd_pseudo 0 4.23/1.77 fd_cond 0 4.23/1.77 fd_pseudo_cond 0 4.23/1.77 AC symbols 0 4.23/1.77 4.23/1.77 ------ Schedule dynamic 5 is on 4.23/1.77 4.23/1.77 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10. 4.23/1.77 4.23/1.77 4.23/1.77 ------ 4.23/1.77 Current options: 4.23/1.77 ------ 4.23/1.77 4.23/1.77 4.23/1.77 4.23/1.77 4.23/1.77 ------ Proving... 4.23/1.77 4.23/1.77 4.23/1.77 % SZS status Theorem for theBenchmark.p 4.23/1.77 4.23/1.77 % SZS output start CNFRefutation for theBenchmark.p 4.23/1.77 4.23/1.77 fof(f6,axiom,( 4.23/1.77 ~~? [X6] : (! [X7] : (sorti2(X7) => op2(X7,X7) = X6) & sorti2(X6))), 4.23/1.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)). 4.23/1.77 4.23/1.77 fof(f11,plain,( 4.23/1.77 ~~? [X0] : (! [X1] : (sorti2(X1) => op2(X1,X1) = X0) & sorti2(X0))), 4.23/1.77 inference(rectify,[],[f6])). 4.23/1.77 4.23/1.77 fof(f12,plain,( 4.23/1.77 ? [X0] : (! [X1] : (sorti2(X1) => op2(X1,X1) = X0) & sorti2(X0))), 4.23/1.77 inference(flattening,[],[f11])). 4.23/1.77 4.23/1.77 fof(f18,plain,( 4.23/1.77 ? [X0] : (! [X1] : (op2(X1,X1) = X0 | ~sorti2(X1)) & sorti2(X0))), 4.23/1.77 inference(ennf_transformation,[],[f12])). 4.23/1.77 4.23/1.77 fof(f22,plain,( 4.23/1.77 ? [X0] : (! [X1] : (op2(X1,X1) = X0 | ~sorti2(X1)) & sorti2(X0)) => (! [X1] : (op2(X1,X1) = sK1 | ~sorti2(X1)) & sorti2(sK1))), 4.23/1.77 introduced(choice_axiom,[])). 4.23/1.77 4.23/1.77 fof(f23,plain,( 4.23/1.77 ! [X1] : (op2(X1,X1) = sK1 | ~sorti2(X1)) & sorti2(sK1)), 4.23/1.77 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f18,f22])). 4.23/1.77 4.23/1.77 fof(f34,plain,( 4.23/1.77 sorti2(sK1)), 4.23/1.77 inference(cnf_transformation,[],[f23])). 4.23/1.77 4.23/1.77 fof(f1,conjecture,( 4.23/1.77 (! [X7] : (sorti2(X7) => sorti1(j(X7))) & ! [X6] : (sorti1(X6) => sorti2(h(X6)))) => ~(! [X5] : (sorti2(X5) => h(j(X5)) = X5) & ! [X4] : (sorti1(X4) => j(h(X4)) = X4) & ! [X2] : (sorti2(X2) => ! [X3] : (sorti2(X3) => op1(j(X2),j(X3)) = j(op2(X2,X3)))) & ! [X0] : (sorti1(X0) => ! [X1] : (sorti1(X1) => op2(h(X0),h(X1)) = h(op1(X0,X1)))))), 4.23/1.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)). 4.23/1.77 4.23/1.77 fof(f2,negated_conjecture,( 4.23/1.77 ~((! [X7] : (sorti2(X7) => sorti1(j(X7))) & ! [X6] : (sorti1(X6) => sorti2(h(X6)))) => ~(! [X5] : (sorti2(X5) => h(j(X5)) = X5) & ! [X4] : (sorti1(X4) => j(h(X4)) = X4) & ! [X2] : (sorti2(X2) => ! [X3] : (sorti2(X3) => op1(j(X2),j(X3)) = j(op2(X2,X3)))) & ! [X0] : (sorti1(X0) => ! [X1] : (sorti1(X1) => op2(h(X0),h(X1)) = h(op1(X0,X1))))))), 4.23/1.77 inference(negated_conjecture,[],[f1])). 4.23/1.77 4.23/1.77 fof(f7,plain,( 4.23/1.77 ~((! [X0] : (sorti2(X0) => sorti1(j(X0))) & ! [X1] : (sorti1(X1) => sorti2(h(X1)))) => ~(! [X2] : (sorti2(X2) => h(j(X2)) = X2) & ! [X3] : (sorti1(X3) => j(h(X3)) = X3) & ! [X4] : (sorti2(X4) => ! [X5] : (sorti2(X5) => op1(j(X4),j(X5)) = j(op2(X4,X5)))) & ! [X6] : (sorti1(X6) => ! [X7] : (sorti1(X7) => op2(h(X6),h(X7)) = h(op1(X6,X7))))))), 4.23/1.77 inference(rectify,[],[f2])). 4.23/1.77 4.23/1.77 fof(f13,plain,( 4.23/1.77 (! [X2] : (h(j(X2)) = X2 | ~sorti2(X2)) & ! [X3] : (j(h(X3)) = X3 | ~sorti1(X3)) & ! [X4] : (! [X5] : (op1(j(X4),j(X5)) = j(op2(X4,X5)) | ~sorti2(X5)) | ~sorti2(X4)) & ! [X6] : (! [X7] : (op2(h(X6),h(X7)) = h(op1(X6,X7)) | ~sorti1(X7)) | ~sorti1(X6))) & (! [X0] : (sorti1(j(X0)) | ~sorti2(X0)) & ! [X1] : (sorti2(h(X1)) | ~sorti1(X1)))), 4.23/1.77 inference(ennf_transformation,[],[f7])). 4.23/1.77 4.23/1.77 fof(f14,plain,( 4.23/1.77 ! [X2] : (h(j(X2)) = X2 | ~sorti2(X2)) & ! [X3] : (j(h(X3)) = X3 | ~sorti1(X3)) & ! [X4] : (! [X5] : (op1(j(X4),j(X5)) = j(op2(X4,X5)) | ~sorti2(X5)) | ~sorti2(X4)) & ! [X6] : (! [X7] : (op2(h(X6),h(X7)) = h(op1(X6,X7)) | ~sorti1(X7)) | ~sorti1(X6)) & ! [X0] : (sorti1(j(X0)) | ~sorti2(X0)) & ! [X1] : (sorti2(h(X1)) | ~sorti1(X1))), 4.23/1.77 inference(flattening,[],[f13])). 4.23/1.77 4.23/1.77 fof(f19,plain,( 4.23/1.77 ! [X0] : (h(j(X0)) = X0 | ~sorti2(X0)) & ! [X1] : (j(h(X1)) = X1 | ~sorti1(X1)) & ! [X2] : (! [X3] : (op1(j(X2),j(X3)) = j(op2(X2,X3)) | ~sorti2(X3)) | ~sorti2(X2)) & ! [X4] : (! [X5] : (op2(h(X4),h(X5)) = h(op1(X4,X5)) | ~sorti1(X5)) | ~sorti1(X4)) & ! [X6] : (sorti1(j(X6)) | ~sorti2(X6)) & ! [X7] : (sorti2(h(X7)) | ~sorti1(X7))), 4.23/1.77 inference(rectify,[],[f14])). 4.23/1.77 4.23/1.77 fof(f25,plain,( 4.23/1.77 ( ! [X6] : (sorti1(j(X6)) | ~sorti2(X6)) )), 4.23/1.77 inference(cnf_transformation,[],[f19])). 4.23/1.77 4.23/1.77 fof(f5,axiom,( 4.23/1.77 ~? [X6] : (! [X7] : (sorti1(X7) => op1(X7,X7) = X6) & sorti1(X6))), 4.23/1.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)). 4.23/1.77 4.23/1.77 fof(f10,plain,( 4.23/1.77 ~? [X0] : (! [X1] : (sorti1(X1) => op1(X1,X1) = X0) & sorti1(X0))), 4.23/1.77 inference(rectify,[],[f5])). 4.23/1.77 4.23/1.77 fof(f17,plain,( 4.23/1.77 ! [X0] : (? [X1] : (op1(X1,X1) != X0 & sorti1(X1)) | ~sorti1(X0))), 4.23/1.77 inference(ennf_transformation,[],[f10])). 4.23/1.77 4.23/1.77 fof(f20,plain,( 4.23/1.77 ! [X0] : (? [X1] : (op1(X1,X1) != X0 & sorti1(X1)) => (op1(sK0(X0),sK0(X0)) != X0 & sorti1(sK0(X0))))), 4.23/1.77 introduced(choice_axiom,[])). 4.23/1.77 4.23/1.77 fof(f21,plain,( 4.23/1.77 ! [X0] : ((op1(sK0(X0),sK0(X0)) != X0 & sorti1(sK0(X0))) | ~sorti1(X0))), 4.23/1.77 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f17,f20])). 4.23/1.77 4.23/1.77 fof(f32,plain,( 4.23/1.77 ( ! [X0] : (sorti1(sK0(X0)) | ~sorti1(X0)) )), 4.23/1.77 inference(cnf_transformation,[],[f21])). 4.23/1.77 4.23/1.77 fof(f28,plain,( 4.23/1.77 ( ! [X1] : (j(h(X1)) = X1 | ~sorti1(X1)) )), 4.23/1.77 inference(cnf_transformation,[],[f19])). 4.23/1.77 4.23/1.77 fof(f3,axiom,( 4.23/1.77 ! [X6] : (sorti1(X6) => ! [X7] : (sorti1(X7) => sorti1(op1(X6,X7))))), 4.23/1.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)). 4.23/1.77 4.23/1.77 fof(f8,plain,( 4.23/1.77 ! [X0] : (sorti1(X0) => ! [X1] : (sorti1(X1) => sorti1(op1(X0,X1))))), 4.23/1.77 inference(rectify,[],[f3])). 4.23/1.77 4.23/1.77 fof(f15,plain,( 4.23/1.77 ! [X0] : (! [X1] : (sorti1(op1(X0,X1)) | ~sorti1(X1)) | ~sorti1(X0))), 4.23/1.77 inference(ennf_transformation,[],[f8])). 4.23/1.77 4.23/1.77 fof(f30,plain,( 4.23/1.77 ( ! [X0,X1] : (sorti1(op1(X0,X1)) | ~sorti1(X1) | ~sorti1(X0)) )), 4.23/1.77 inference(cnf_transformation,[],[f15])). 4.23/1.77 4.23/1.77 fof(f26,plain,( 4.23/1.77 ( ! [X4,X5] : (op2(h(X4),h(X5)) = h(op1(X4,X5)) | ~sorti1(X5) | ~sorti1(X4)) )), 4.23/1.77 inference(cnf_transformation,[],[f19])). 4.23/1.77 4.23/1.77 fof(f24,plain,( 4.23/1.77 ( ! [X7] : (sorti2(h(X7)) | ~sorti1(X7)) )), 4.23/1.77 inference(cnf_transformation,[],[f19])). 4.23/1.77 4.23/1.77 fof(f35,plain,( 4.23/1.77 ( ! [X1] : (op2(X1,X1) = sK1 | ~sorti2(X1)) )), 4.23/1.77 inference(cnf_transformation,[],[f23])). 4.23/1.77 4.23/1.77 fof(f33,plain,( 4.23/1.77 ( ! [X0] : (op1(sK0(X0),sK0(X0)) != X0 | ~sorti1(X0)) )), 4.23/1.77 inference(cnf_transformation,[],[f21])). 4.23/1.77 4.23/1.77 cnf(c_60,plain,( sorti2(sK1) ),inference(cnf_transformation,[],[f34]) ). 4.23/1.77 4.23/1.77 cnf(c_53,negated_conjecture, 4.23/1.77 ( ~ sorti2(X0) | sorti1(j(X0)) ), 4.23/1.77 inference(cnf_transformation,[],[f25]) ). 4.23/1.77 4.23/1.77 cnf(c_58,plain, 4.23/1.77 ( ~ sorti1(X0) | sorti1(sK0(X0)) ), 4.23/1.77 inference(cnf_transformation,[],[f32]) ). 4.23/1.77 4.23/1.77 cnf(c_50,negated_conjecture, 4.23/1.77 ( ~ sorti1(X0) | j(h(X0)) = X0 ), 4.23/1.77 inference(cnf_transformation,[],[f28]) ). 4.23/1.77 4.23/1.77 cnf(c_470,plain, 4.23/1.77 ( ~ sorti1(X0) | j(h(sK0(X0))) = sK0(X0) ), 4.23/1.77 inference(superposition,[status(thm)],[c_58,c_50]) ). 4.23/1.77 4.23/1.77 cnf(c_553,plain, 4.23/1.77 ( ~ sorti2(X0) | j(h(sK0(j(X0)))) = sK0(j(X0)) ), 4.23/1.77 inference(superposition,[status(thm)],[c_53,c_470]) ). 4.23/1.77 4.23/1.77 cnf(c_617,plain, 4.23/1.77 ( j(h(sK0(j(sK1)))) = sK0(j(sK1)) ), 4.23/1.77 inference(superposition,[status(thm)],[c_60,c_553]) ). 4.23/1.77 4.23/1.77 cnf(c_740,plain, 4.23/1.77 ( ~ sorti2(h(sK0(j(sK1)))) | sorti1(sK0(j(sK1))) ), 4.23/1.77 inference(superposition,[status(thm)],[c_617,c_53]) ). 4.23/1.77 4.23/1.77 cnf(c_62,plain, 4.23/1.77 ( ~ sorti2(sK1) | sorti1(j(sK1)) ), 4.23/1.77 inference(instantiation,[status(thm)],[c_53]) ). 4.23/1.77 4.23/1.77 cnf(c_569,plain, 4.23/1.77 ( ~ sorti1(j(X0)) | sorti1(sK0(j(X0))) ), 4.23/1.77 inference(instantiation,[status(thm)],[c_58]) ). 4.23/1.77 4.23/1.77 cnf(c_570,plain, 4.23/1.77 ( ~ sorti1(j(sK1)) | sorti1(sK0(j(sK1))) ), 4.23/1.77 inference(instantiation,[status(thm)],[c_569]) ). 4.23/1.77 4.23/1.77 cnf(c_743,plain, 4.23/1.77 ( sorti1(sK0(j(sK1))) ), 4.23/1.77 inference(global_propositional_subsumption, 4.23/1.77 [status(thm)], 4.23/1.77 [c_740,c_62,c_60,c_570]) ). 4.23/1.77 4.23/1.77 cnf(c_55,plain, 4.23/1.77 ( ~ sorti1(X0) | ~ sorti1(X1) | sorti1(op1(X0,X1)) ), 4.23/1.77 inference(cnf_transformation,[],[f30]) ). 4.23/1.77 4.23/1.77 cnf(c_498,plain, 4.23/1.77 ( ~ sorti1(X0) | ~ sorti1(X1) | j(h(op1(X0,X1))) = op1(X0,X1) ), 4.23/1.77 inference(superposition,[status(thm)],[c_55,c_50]) ). 4.23/1.77 4.23/1.77 cnf(c_928,plain, 4.23/1.77 ( ~ sorti1(X0) | j(h(op1(X0,sK0(j(sK1))))) = op1(X0,sK0(j(sK1))) ), 4.23/1.77 inference(superposition,[status(thm)],[c_743,c_498]) ). 4.23/1.77 4.23/1.77 cnf(c_2169,plain, 4.23/1.77 ( j(h(op1(sK0(j(sK1)),sK0(j(sK1))))) = op1(sK0(j(sK1)),sK0(j(sK1))) ), 4.23/1.77 inference(superposition,[status(thm)],[c_743,c_928]) ). 4.23/1.77 4.23/1.77 cnf(c_52,negated_conjecture, 4.23/1.77 ( ~ sorti1(X0) | ~ sorti1(X1) | op2(h(X0),h(X1)) = h(op1(X0,X1)) ), 4.23/1.77 inference(cnf_transformation,[],[f26]) ). 4.23/1.77 4.23/1.77 cnf(c_745,plain, 4.23/1.77 ( ~ sorti1(X0) | op2(h(X0),h(sK0(j(sK1)))) = h(op1(X0,sK0(j(sK1)))) ), 4.23/1.77 inference(superposition,[status(thm)],[c_743,c_52]) ). 4.23/1.77 4.23/1.77 cnf(c_2336,plain, 4.23/1.77 ( op2(h(sK0(j(sK1))),h(sK0(j(sK1)))) = h(op1(sK0(j(sK1)),sK0(j(sK1)))) ), 4.23/1.77 inference(superposition,[status(thm)],[c_743,c_745]) ). 4.23/1.77 4.23/1.77 cnf(c_54,negated_conjecture, 4.23/1.77 ( ~ sorti1(X0) | sorti2(h(X0)) ), 4.23/1.77 inference(cnf_transformation,[],[f24]) ). 4.23/1.77 4.23/1.77 cnf(c_59,plain, 4.23/1.77 ( ~ sorti2(X0) | op2(X0,X0) = sK1 ), 4.23/1.77 inference(cnf_transformation,[],[f35]) ). 4.23/1.77 4.23/1.77 cnf(c_485,plain, 4.23/1.77 ( ~ sorti1(X0) | op2(h(X0),h(X0)) = sK1 ), 4.23/1.77 inference(superposition,[status(thm)],[c_54,c_59]) ). 4.23/1.77 4.23/1.77 cnf(c_748,plain, 4.23/1.77 ( op2(h(sK0(j(sK1))),h(sK0(j(sK1)))) = sK1 ), 4.23/1.77 inference(superposition,[status(thm)],[c_743,c_485]) ). 4.23/1.77 4.23/1.77 cnf(c_2343,plain, 4.23/1.77 ( h(op1(sK0(j(sK1)),sK0(j(sK1)))) = sK1 ), 4.23/1.77 inference(light_normalisation,[status(thm)],[c_2336,c_748]) ). 4.23/1.77 4.23/1.77 cnf(c_6036,plain, 4.23/1.77 ( op1(sK0(j(sK1)),sK0(j(sK1))) = j(sK1) ), 4.23/1.77 inference(light_normalisation,[status(thm)],[c_2169,c_2343]) ). 4.23/1.77 4.23/1.77 cnf(c_6038,plain, 4.23/1.77 ( ~ sorti1(sK0(j(sK1))) | sorti1(j(sK1)) ), 4.23/1.77 inference(superposition,[status(thm)],[c_6036,c_55]) ). 4.23/1.77 4.23/1.77 cnf(c_57,plain, 4.23/1.77 ( op1(sK0(X0),sK0(X0)) != X0 | ~ sorti1(X0) ), 4.23/1.77 inference(cnf_transformation,[],[f33]) ). 4.23/1.77 4.23/1.77 cnf(c_6039,plain, 4.23/1.77 ( ~ sorti1(j(sK1)) ), 4.23/1.77 inference(superposition,[status(thm)],[c_6036,c_57]) ). 4.23/1.77 4.23/1.77 cnf(c_6040,plain, 4.23/1.77 ( ~ sorti1(sK0(j(sK1))) ), 4.23/1.77 inference(forward_subsumption_resolution,[status(thm)],[c_6038,c_6039]) ). 4.23/1.77 4.23/1.77 cnf(c_6041,plain, 4.23/1.77 ( $false ), 4.23/1.77 inference(forward_subsumption_resolution,[status(thm)],[c_6040,c_743]) ). 4.23/1.77 4.23/1.77 4.23/1.77 % SZS output end CNFRefutation for theBenchmark.p 4.23/1.77 4.23/1.77 ------ Statistics 4.23/1.77 4.23/1.77 ------ Selected 4.23/1.77 4.23/1.77 total_time: 0.234 4.23/1.77 4.23/1.79 EOF