0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.29 % 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 0.29/0.50 % Computer : n021.cluster.edu 0.29/0.50 % Model : x86_64 x86_64 0.29/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.29/0.50 % Memory : 8042.1875MB 0.29/0.50 % OS : Linux 3.10.0-693.el7.x86_64 0.29/0.50 % CPULimit : 960 0.29/0.50 % WCLimit : 120 0.29/0.50 % DateTime : Tue Aug 9 04:29:50 EDT 2022 0.29/0.51 % CPUTime : 55.72/8.79 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p 55.72/8.79 55.72/8.79 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 55.72/8.79 55.72/8.79 ------ iProver source info 55.72/8.79 55.72/8.79 git: date: 2022-07-26 19:47:37 +0300 55.72/8.79 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 55.72/8.79 git: non_committed_changes: false 55.72/8.79 git: last_make_outside_of_git: false 55.72/8.79 55.72/8.79 ------ Parsing... 55.72/8.79 ------ Clausification by vclausify_rel & Parsing by iProver... 55.72/8.79 55.72/8.79 ------ Preprocessing... sup_sim: 907 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e sup_sim: 476 sf_s rm: 59 0s sf_e pe_s pe_e sup_sim: 11 sf_s rm: 59 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 59 0s sf_e pe_s pe_e 55.72/8.79 55.72/8.79 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 55.72/8.79 55.72/8.79 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 55.72/8.79 ------ Proving... 55.72/8.79 ------ Problem Properties 55.72/8.79 55.72/8.79 55.72/8.79 clauses 1376 55.72/8.79 conjectures 0 55.72/8.79 EPR 5 55.72/8.79 Horn 1192 55.72/8.79 unary 403 55.72/8.79 binary 494 55.72/8.79 lits 3029 55.72/8.79 lits eq 715 55.72/8.79 fd_pure 0 55.72/8.79 fd_pseudo 0 55.72/8.79 fd_cond 46 55.72/8.79 fd_pseudo_cond 35 55.72/8.79 AC symbols 0 55.72/8.79 55.72/8.79 ------ Schedule dynamic 5 is on 55.72/8.79 55.72/8.79 ------ no conjectures: strip conj schedule 55.72/8.79 55.72/8.79 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10. 55.72/8.79 55.72/8.79 55.72/8.79 ------ 55.72/8.79 Current options: 55.72/8.79 ------ 55.72/8.79 55.72/8.79 55.72/8.79 55.72/8.79 55.72/8.79 ------ Proving... 55.72/8.79 55.72/8.79 55.72/8.79 % SZS status Theorem for theBenchmark.p 55.72/8.79 55.72/8.79 % SZS output start CNFRefutation for theBenchmark.p 55.72/8.79 55.72/8.79 fof(f473,axiom,( 55.72/8.79 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),t))), 55.72/8.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos)). 55.72/8.79 55.72/8.79 fof(f4344,plain,( 55.72/8.79 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),t))), 55.72/8.79 inference(cnf_transformation,[],[f473])). 55.72/8.79 55.72/8.79 fof(f1063,axiom,( 55.72/8.79 ! [X3,X31,X33,X59,X60,X61] : hAPP(X3,X31,combc(X3,X33,X31,X59,X60),X61) = hAPP(X33,X31,hAPP(X3,fun(X33,X31),X59,X61),X60)), 55.72/8.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_U)). 55.72/8.79 55.72/8.79 fof(f2125,plain,( 55.72/8.79 ! [X0,X1,X2,X3,X4,X5] : hAPP(X0,X1,combc(X0,X2,X1,X3,X4),X5) = hAPP(X2,X1,hAPP(X0,fun(X2,X1),X3,X5),X4)), 55.72/8.79 inference(rectify,[],[f1063])). 55.72/8.79 55.72/8.79 fof(f5163,plain,( 55.72/8.79 ( ! [X4,X2,X0,X5,X3,X1] : (hAPP(X0,X1,combc(X0,X2,X1,X3,X4),X5) = hAPP(X2,X1,hAPP(X0,fun(X2,X1),X3,X5),X4)) )), 55.72/8.79 inference(cnf_transformation,[],[f2125])). 55.72/8.79 55.72/8.79 fof(f900,axiom,( 55.72/8.79 ! [X3] : (order(X3) => ! [X26,X27] : (hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less_eq(X3),X26),X27)) => (ti(X3,X26) != ti(X3,X27) => hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),X26),X27)))))), 55.72/8.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_332_order__le__neq__implies__less)). 55.72/8.79 55.72/8.79 fof(f1994,plain,( 55.72/8.79 ! [X0] : (order(X0) => ! [X1,X2] : (hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) => (ti(X0,X1) != ti(X0,X2) => hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less(X0),X1),X2)))))), 55.72/8.79 inference(rectify,[],[f900])). 55.72/8.79 55.72/8.79 fof(f3029,plain,( 55.72/8.79 ! [X0] : (! [X1,X2] : ((hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less(X0),X1),X2)) | ti(X0,X1) = ti(X0,X2)) | ~hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))) | ~order(X0))), 55.72/8.79 inference(ennf_transformation,[],[f1994])). 55.72/8.79 55.72/8.79 fof(f3030,plain,( 55.72/8.79 ! [X0] : (! [X1,X2] : (hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less(X0),X1),X2)) | ti(X0,X1) = ti(X0,X2) | ~hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))) | ~order(X0))), 55.72/8.79 inference(flattening,[],[f3029])). 55.72/8.79 55.72/8.79 fof(f4928,plain,( 55.72/8.79 ( ! [X2,X0,X1] : (hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less(X0),X1),X2)) | ti(X0,X1) = ti(X0,X2) | ~hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) | ~order(X0)) )), 55.72/8.79 inference(cnf_transformation,[],[f3030])). 55.72/8.79 55.72/8.79 fof(f1160,axiom,( 55.72/8.79 ! [X3] : (power(X3) => ! [X15,X25] : ((zero_zero(nat) = X25 => one_one(X3) = hAPP(nat,X3,power_power(X3,X15),X25)) & (zero_zero(nat) != X25 => hAPP(X3,X3,times_times(X3,X15),hAPP(nat,X3,power_power(X3,X15),hAPP(nat,nat,minus_minus(nat,X25),one_one(nat)))) = hAPP(nat,X3,power_power(X3,X15),X25))))), 55.72/8.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_722_realpow__num__eq__if)). 55.72/8.79 55.72/8.79 fof(f2206,plain,( 55.72/8.79 ! [X0] : (power(X0) => ! [X1,X2] : ((zero_zero(nat) = X2 => one_one(X0) = hAPP(nat,X0,power_power(X0,X1),X2)) & (zero_zero(nat) != X2 => hAPP(nat,X0,power_power(X0,X1),X2) = hAPP(X0,X0,times_times(X0,X1),hAPP(nat,X0,power_power(X0,X1),hAPP(nat,nat,minus_minus(nat,X2),one_one(nat)))))))), 55.72/8.79 inference(rectify,[],[f1160])). 55.72/8.79 55.72/8.79 fof(f3228,plain,( 55.72/8.79 ! [X0] : (! [X1,X2] : ((one_one(X0) = hAPP(nat,X0,power_power(X0,X1),X2) | zero_zero(nat) != X2) & (hAPP(nat,X0,power_power(X0,X1),X2) = hAPP(X0,X0,times_times(X0,X1),hAPP(nat,X0,power_power(X0,X1),hAPP(nat,nat,minus_minus(nat,X2),one_one(nat)))) | zero_zero(nat) = X2)) | ~power(X0))), 55.72/8.79 inference(ennf_transformation,[],[f2206])). 55.72/8.79 55.72/8.79 fof(f5294,plain,( 55.72/8.79 ( ! [X2,X0,X1] : (one_one(X0) = hAPP(nat,X0,power_power(X0,X1),X2) | zero_zero(nat) != X2 | ~power(X0)) )), 55.72/8.79 inference(cnf_transformation,[],[f3228])). 55.72/8.79 55.72/8.79 fof(f5783,plain,( 55.72/8.79 ( ! [X0,X1] : (one_one(X0) = hAPP(nat,X0,power_power(X0,X1),zero_zero(nat)) | ~power(X0)) )), 55.72/8.79 inference(equality_resolution,[],[f5294])). 55.72/8.79 55.72/8.79 fof(f1008,axiom,( 55.72/8.79 power(int)), 55.72/8.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Power_Opower)). 55.72/8.79 55.72/8.79 fof(f5089,plain,( 55.72/8.79 power(int)), 55.72/8.79 inference(cnf_transformation,[],[f1008])). 55.72/8.79 55.72/8.79 fof(f467,axiom,( 55.72/8.79 ! [X31,X3,X30,X32] : hAPP(X3,X31,X30,X32) = ti(X31,hAPP(X3,X31,X30,X32))), 55.72/8.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_hAPP_res)). 55.72/8.79 55.72/8.79 fof(f1633,plain,( 55.72/8.79 ! [X0,X1,X2,X3] : hAPP(X1,X0,X2,X3) = ti(X0,hAPP(X1,X0,X2,X3))), 55.72/8.79 inference(rectify,[],[f467])). 55.72/8.79 55.72/8.79 fof(f4336,plain,( 55.72/8.79 ( ! [X2,X0,X3,X1] : (hAPP(X1,X0,X2,X3) = ti(X0,hAPP(X1,X0,X2,X3))) )), 55.72/8.79 inference(cnf_transformation,[],[f1633])). 55.72/8.79 55.72/8.79 fof(f1055,axiom,( 55.72/8.79 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t)) => ? [X37,X76] : hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X37),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X76),number_number_of(nat,bit0(bit1(pls)))))), 55.72/8.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06)). 55.72/8.79 55.72/8.79 fof(f2120,plain,( 55.72/8.79 hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t)) => ? [X0,X1] : hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,bit0(bit1(pls)))))), 55.72/8.79 inference(rectify,[],[f1055])). 55.72/8.79 55.72/8.79 fof(f3154,plain,( 55.72/8.79 ? [X0,X1] : hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,bit0(bit1(pls))))) | ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))), 55.72/8.79 inference(ennf_transformation,[],[f2120])). 55.72/8.79 55.72/8.79 fof(f3656,plain,( 55.72/8.79 ? [X0,X1] : hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,bit0(bit1(pls))))) => hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK42),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,sK43),number_number_of(nat,bit0(bit1(pls)))))), 55.72/8.79 introduced(choice_axiom,[])). 55.72/8.79 55.72/8.79 fof(f3657,plain,( 55.72/8.79 hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK42),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,sK43),number_number_of(nat,bit0(bit1(pls))))) | ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))), 55.72/8.79 inference(skolemisation,[status(esa),new_symbols(skolem,[sK42,sK43])],[f3154,f3656])). 55.72/8.79 55.72/8.79 fof(f5152,plain,( 55.72/8.79 hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK42),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,sK43),number_number_of(nat,bit0(bit1(pls))))) | ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))), 55.72/8.79 inference(cnf_transformation,[],[f3657])). 55.72/8.79 55.72/8.79 fof(f996,axiom,( 55.72/8.79 ! [X14] : bit0(X14) = hAPP(int,int,plus_plus(int,X14),X14)), 55.72/8.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_128_Bit0__def)). 55.72/8.79 55.72/8.79 fof(f2072,plain,( 55.72/8.79 ! [X0] : bit0(X0) = hAPP(int,int,plus_plus(int,X0),X0)), 55.72/8.79 inference(rectify,[],[f996])). 55.72/8.79 55.72/8.79 fof(f5073,plain,( 55.72/8.79 ( ! [X0] : (bit0(X0) = hAPP(int,int,plus_plus(int,X0),X0)) )), 55.72/8.79 inference(cnf_transformation,[],[f2072])). 55.72/8.79 55.72/8.79 fof(f977,axiom,( 55.72/8.79 ! [X14] : bit1(X14) = hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),X14)),X14)), 55.72/8.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_153_Bit1__def)). 55.72/8.79 55.72/8.79 fof(f2055,plain,( 55.72/8.79 ! [X0] : bit1(X0) = hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),X0)),X0)), 55.72/8.79 inference(rectify,[],[f977])). 55.72/8.79 55.72/8.79 fof(f5048,plain,( 55.72/8.79 ( ! [X0] : (bit1(X0) = hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),X0)),X0)) )), 55.72/8.79 inference(cnf_transformation,[],[f2055])). 55.72/8.79 55.72/8.79 fof(f5641,plain,( 55.72/8.79 hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK42),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),hAPP(nat,int,power_power(int,sK43),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))) | ~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))), 55.72/8.79 inference(definition_unfolding,[],[f5152,f5073,f5073,f5048,f5073,f5048,f5073,f5048])). 55.72/8.79 55.72/8.79 fof(f796,conjecture,( 55.72/8.79 ? [X37,X76] : hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X37),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X76),number_number_of(nat,bit0(bit1(pls)))))), 55.72/8.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 55.72/8.79 55.72/8.79 fof(f797,negated_conjecture,( 55.72/8.79 ~? [X37,X76] : hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X37),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X76),number_number_of(nat,bit0(bit1(pls)))))), 55.72/8.79 inference(negated_conjecture,[],[f796])). 55.72/8.79 55.72/8.79 fof(f1904,plain,( 55.72/8.79 ~? [X0,X1] : hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,bit0(bit1(pls)))))), 55.72/8.79 inference(rectify,[],[f797])). 55.72/8.79 55.72/8.79 fof(f2934,plain,( 55.72/8.79 ! [X0,X1] : hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) != hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,bit0(bit1(pls)))))), 55.72/8.79 inference(ennf_transformation,[],[f1904])). 55.72/8.79 55.72/8.79 fof(f4785,plain,( 55.72/8.79 ( ! [X0,X1] : (hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) != hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,bit0(bit1(pls)))))) )), 55.72/8.79 inference(cnf_transformation,[],[f2934])). 55.72/8.79 55.72/8.79 fof(f5594,plain,( 55.72/8.79 ( ! [X0,X1] : (hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int)) != hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))) )), 55.72/8.79 inference(definition_unfolding,[],[f4785,f5073,f5073,f5048,f5073,f5048,f5073,f5048])). 55.72/8.79 55.72/8.79 fof(f635,axiom,( 55.72/8.79 order(int)), 55.72/8.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Orderings_Oorder)). 55.72/8.79 55.72/8.79 fof(f4577,plain,( 55.72/8.79 order(int)), 55.72/8.79 inference(cnf_transformation,[],[f635])). 55.72/8.79 55.72/8.79 fof(f528,axiom,( 55.72/8.79 ! [X14] : ti(int,X14) = number_number_of(int,X14)), 55.72/8.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_number__of__is__id)). 55.72/8.79 55.72/8.79 fof(f1683,plain,( 55.72/8.79 ! [X0] : ti(int,X0) = number_number_of(int,X0)), 55.72/8.79 inference(rectify,[],[f528])). 55.72/8.79 55.72/8.79 fof(f4424,plain,( 55.72/8.79 ( ! [X0] : (ti(int,X0) = number_number_of(int,X0)) )), 55.72/8.79 inference(cnf_transformation,[],[f1683])). 55.72/8.79 55.72/8.79 fof(f382,axiom,( 55.72/8.79 t = ti(int,t)), 55.72/8.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_v_t_____res)). 55.72/8.79 55.72/8.79 fof(f4220,plain,( 55.72/8.79 t = ti(int,t)), 55.72/8.79 inference(cnf_transformation,[],[f382])). 55.72/8.79 55.72/8.79 fof(f280,axiom,( 55.72/8.79 one_one(int) = t => ? [X37,X76] : hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X37),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X76),number_number_of(nat,bit0(bit1(pls)))))), 55.72/8.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06)). 55.72/8.79 55.72/8.79 fof(f1481,plain,( 55.72/8.79 one_one(int) = t => ? [X0,X1] : hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,bit0(bit1(pls)))))), 55.72/8.79 inference(rectify,[],[f280])). 55.72/8.79 55.72/8.79 fof(f2526,plain,( 55.72/8.79 ? [X0,X1] : hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,bit0(bit1(pls))))) | one_one(int) != t), 55.72/8.79 inference(ennf_transformation,[],[f1481])). 55.72/8.79 55.72/8.79 fof(f3385,plain,( 55.72/8.79 ? [X0,X1] : hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,bit0(bit1(pls))))) => hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK12),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,sK13),number_number_of(nat,bit0(bit1(pls)))))), 55.72/8.79 introduced(choice_axiom,[])). 55.72/8.79 55.72/8.79 fof(f3386,plain,( 55.72/8.79 hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK12),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,sK13),number_number_of(nat,bit0(bit1(pls))))) | one_one(int) != t), 55.72/8.79 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f2526,f3385])). 55.72/8.79 55.72/8.79 fof(f4089,plain,( 55.72/8.79 hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK12),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,sK13),number_number_of(nat,bit0(bit1(pls))))) | one_one(int) != t), 55.72/8.79 inference(cnf_transformation,[],[f3386])). 55.72/8.79 55.72/8.79 fof(f5485,plain,( 55.72/8.79 hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK12),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),hAPP(nat,int,power_power(int,sK13),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))) | one_one(int) != t), 55.72/8.79 inference(definition_unfolding,[],[f4089,f5073,f5073,f5048,f5073,f5048,f5073,f5048])). 55.72/8.79 55.72/8.79 cnf(c_638,plain, 55.72/8.79 ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),t)) ), 55.72/8.79 inference(cnf_transformation,[],[f4344]) ). 55.72/8.79 55.72/8.79 cnf(c_1422,plain, 55.72/8.79 ( hAPP(X0,X1,hAPP(X2,fun(X0,X1),X3,X4),X5) = hAPP(X2,X1,combc(X2,X0,X1,X3,X5),X4) ), 55.72/8.79 inference(cnf_transformation,[],[f5163]) ). 55.72/8.79 55.72/8.79 cnf(c_13448,plain, 55.72/8.79 ( hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less_eq(int),t),one_one(int))) ), 55.72/8.79 inference(demodulation,[status(thm)],[c_638,c_1422]) ). 55.72/8.79 55.72/8.79 cnf(c_1198,plain, 55.72/8.79 ( ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) 55.72/8.79 | ~ order(X0) 55.72/8.79 | ti(X0,X1) = ti(X0,X2) 55.72/8.79 | hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less(X0),X1),X2)) ), 55.72/8.79 inference(cnf_transformation,[],[f4928]) ). 55.72/8.79 55.72/8.79 cnf(c_15476,plain, 55.72/8.79 ( ~ hBOOL(hAPP(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),X1),X2)) 55.72/8.79 | ~ order(X0) 55.72/8.79 | ti(X0,X1) = ti(X0,X2) 55.72/8.79 | hBOOL(hAPP(X0,bool,combc(X0,X0,bool,ord_less(X0),X1),X2)) ), 55.72/8.79 inference(demodulation,[status(thm)],[c_1198,c_1422]) ). 55.72/8.79 55.72/8.79 cnf(c_154176,plain, 55.72/8.79 ( ~ order(int) 55.72/8.79 | ti(int,one_one(int)) = ti(int,t) 55.72/8.79 | hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less(int),t),one_one(int))) ), 55.72/8.79 inference(superposition,[status(thm)],[c_13448,c_15476]) ). 55.72/8.79 55.72/8.79 cnf(c_1547,plain, 55.72/8.79 ( ~ power(X0) 55.72/8.79 | hAPP(nat,X0,power_power(X0,X1),zero_zero(nat)) = one_one(X0) ), 55.72/8.79 inference(cnf_transformation,[],[f5783]) ). 55.72/8.79 55.72/8.79 cnf(c_3413,plain, 55.72/8.79 ( ~ power(X0) 55.72/8.79 | hAPP(nat,X0,power_power(X0,X1),zero_zero(nat)) = one_one(X0) ), 55.72/8.79 inference(prop_impl,[status(thm)],[c_1547]) ). 55.72/8.79 55.72/8.79 cnf(c_1351,plain,( power(int) ),inference(cnf_transformation,[],[f5089]) ). 55.72/8.79 55.72/8.79 cnf(c_24832,plain, 55.72/8.79 ( X0 != int 55.72/8.79 | hAPP(nat,X0,power_power(X0,X1),zero_zero(nat)) = one_one(X0) ), 55.72/8.79 inference(resolution_lifted,[status(thm)],[c_3413,c_1351]) ). 55.72/8.79 55.72/8.79 cnf(c_24833,plain, 55.72/8.79 ( hAPP(nat,int,power_power(int,X0),zero_zero(nat)) = one_one(int) ), 55.72/8.79 inference(unflattening,[status(thm)],[c_24832]) ). 55.72/8.79 55.72/8.79 cnf(c_630,plain, 55.72/8.79 ( ti(X0,hAPP(X1,X0,X2,X3)) = hAPP(X1,X0,X2,X3) ), 55.72/8.79 inference(cnf_transformation,[],[f4336]) ). 55.72/8.79 55.72/8.79 cnf(c_99810,plain, 55.72/8.79 ( ti(int,one_one(int)) = one_one(int) ), 55.72/8.79 inference(superposition,[status(thm)],[c_24833,c_630]) ). 55.72/8.79 55.72/8.79 cnf(c_154557,plain, 55.72/8.79 ( ~ order(int) 55.72/8.79 | ti(int,t) = one_one(int) 55.72/8.79 | hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less(int),t),one_one(int))) ), 55.72/8.79 inference(light_normalisation,[status(thm)],[c_154176,c_99810]) ). 55.72/8.79 55.72/8.79 cnf(c_1411,plain, 55.72/8.79 ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t)) 55.72/8.79 | hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK42),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),hAPP(nat,int,power_power(int,sK43),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int)) ), 55.72/8.79 inference(cnf_transformation,[],[f5641]) ). 55.72/8.79 55.72/8.79 cnf(c_3689,plain, 55.72/8.79 ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t)) 55.72/8.79 | hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK42),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),hAPP(nat,int,power_power(int,sK43),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int)) ), 55.72/8.79 inference(prop_impl,[status(thm)],[c_1411]) ). 55.72/8.79 55.72/8.79 cnf(c_1065,negated_conjecture, 55.72/8.79 ( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))) != hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int)) ), 55.72/8.79 inference(cnf_transformation,[],[f5594]) ). 55.72/8.79 55.72/8.79 cnf(c_6978,plain, 55.72/8.79 ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t)) ), 55.72/8.79 inference(backward_subsumption_resolution,[status(thm)],[c_3689,c_1065]) ). 55.72/8.79 55.72/8.79 cnf(c_13458,plain, 55.72/8.79 ( ~ hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less(int),t),one_one(int))) ), 55.72/8.79 inference(demodulation,[status(thm)],[c_6978,c_1422]) ). 55.72/8.79 55.72/8.79 cnf(c_865,plain,( order(int) ),inference(cnf_transformation,[],[f4577]) ). 55.72/8.79 55.72/8.79 cnf(c_154558,plain, 55.72/8.79 ( ti(int,t) = one_one(int) ), 55.72/8.79 inference(forward_subsumption_resolution, 55.72/8.79 [status(thm)], 55.72/8.79 [c_154557,c_13458,c_865]) ). 55.72/8.79 55.72/8.79 cnf(c_715,plain, 55.72/8.79 ( ti(int,X0) = number_number_of(int,X0) ), 55.72/8.79 inference(cnf_transformation,[],[f4424]) ). 55.72/8.79 55.72/8.79 cnf(c_517,plain,( ti(int,t) = t ),inference(cnf_transformation,[],[f4220]) ). 55.72/8.79 55.72/8.79 cnf(c_12728,plain, 55.72/8.79 ( number_number_of(int,t) = t ), 55.72/8.79 inference(demodulation,[status(thm)],[c_517,c_715]) ). 55.72/8.79 55.72/8.79 cnf(c_155308,plain, 55.72/8.79 ( one_one(int) = t ), 55.72/8.79 inference(demodulation,[status(thm)],[c_154558,c_715,c_12728]) ). 55.72/8.79 55.72/8.79 cnf(c_391,plain, 55.72/8.79 ( one_one(int) != t 55.72/8.79 | hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK12),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),hAPP(nat,int,power_power(int,sK13),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int)) ), 55.72/8.79 inference(cnf_transformation,[],[f5485]) ). 55.72/8.79 55.72/8.79 cnf(c_3447,plain, 55.72/8.79 ( one_one(int) != t 55.72/8.79 | hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK12),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),hAPP(nat,int,power_power(int,sK13),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),m)),one_one(int)) ), 55.72/8.79 inference(prop_impl,[status(thm)],[c_391]) ). 55.72/8.79 55.72/8.79 cnf(c_6979,plain, 55.72/8.79 ( one_one(int) != t ), 55.72/8.79 inference(backward_subsumption_resolution,[status(thm)],[c_3447,c_1065]) ). 55.72/8.79 55.72/8.79 cnf(c_155309,plain, 55.72/8.79 ( $false ), 55.72/8.79 inference(forward_subsumption_resolution,[status(thm)],[c_155308,c_6979]) ). 55.72/8.79 55.72/8.79 55.72/8.79 % SZS output end CNFRefutation for theBenchmark.p 55.72/8.79 55.72/8.79 ------ Statistics 55.72/8.79 55.72/8.79 ------ Selected 55.72/8.79 55.72/8.79 total_time: 7.119 55.72/8.79 55.72/8.81 EOF