0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.14 % 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 0.14/0.38 % Computer : n021.cluster.edu 0.14/0.38 % Model : x86_64 x86_64 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.38 % Memory : 8042.1875MB 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.38 % CPULimit : 960 0.14/0.38 % WCLimit : 120 0.14/0.38 % DateTime : Tue Aug 9 04:54:05 EDT 2022 0.14/0.38 % CPUTime : 356.41/48.11 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p 356.41/48.11 356.41/48.11 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 356.41/48.11 356.41/48.11 ------ iProver source info 356.41/48.11 356.41/48.11 git: date: 2022-07-26 19:47:37 +0300 356.41/48.11 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 356.41/48.11 git: non_committed_changes: false 356.41/48.11 git: last_make_outside_of_git: false 356.41/48.11 356.41/48.11 ------ Parsing... 356.41/48.11 ------ Clausification by vclausify_rel & Parsing by iProver... 356.41/48.11 356.41/48.11 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e 356.41/48.11 356.41/48.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 356.41/48.11 356.41/48.11 ------ Preprocessing... sf_s rm: 0 0s sf_e 356.41/48.11 ------ Proving... 356.41/48.11 ------ Problem Properties 356.41/48.11 356.41/48.11 356.41/48.11 clauses 6 356.41/48.11 conjectures 1 356.41/48.11 EPR 0 356.41/48.11 Horn 6 356.41/48.11 unary 5 356.41/48.11 binary 1 356.41/48.11 lits 7 356.41/48.11 lits eq 7 356.41/48.11 fd_pure 0 356.41/48.11 fd_pseudo 0 356.41/48.11 fd_cond 0 356.41/48.11 fd_pseudo_cond 0 356.41/48.11 AC symbols 0 356.41/48.11 356.41/48.11 ------ Input Options Time Limit: Unbounded 356.41/48.11 356.41/48.11 356.41/48.11 ------ 356.41/48.11 Current options: 356.41/48.11 ------ 356.41/48.11 356.41/48.11 356.41/48.11 356.41/48.11 356.41/48.11 ------ Proving... 356.41/48.11 356.41/48.11 356.41/48.11 % SZS status Theorem for theBenchmark.p 356.41/48.11 356.41/48.11 % SZS output start CNFRefutation for theBenchmark.p 356.41/48.11 356.41/48.11 fof(f6,conjecture,( 356.41/48.11 ! [X3,X4] : (mult(X3,rd(X4,X4)) = X3 & mult(rd(X4,X4),X3) = X3)), 356.41/48.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals)). 356.41/48.11 356.41/48.11 fof(f7,negated_conjecture,( 356.41/48.11 ~! [X3,X4] : (mult(X3,rd(X4,X4)) = X3 & mult(rd(X4,X4),X3) = X3)), 356.41/48.11 inference(negated_conjecture,[],[f6])). 356.41/48.11 356.41/48.11 fof(f9,plain,( 356.41/48.11 ~! [X0,X1] : (mult(X0,rd(X1,X1)) = X0 & mult(rd(X1,X1),X0) = X0)), 356.41/48.11 inference(rectify,[],[f7])). 356.41/48.11 356.41/48.11 fof(f10,plain,( 356.41/48.11 ? [X0,X1] : (mult(X0,rd(X1,X1)) != X0 | mult(rd(X1,X1),X0) != X0)), 356.41/48.11 inference(ennf_transformation,[],[f9])). 356.41/48.11 356.41/48.11 fof(f11,plain,( 356.41/48.11 ? [X0,X1] : (mult(X0,rd(X1,X1)) != X0 | mult(rd(X1,X1),X0) != X0) => (sK0 != mult(sK0,rd(sK1,sK1)) | sK0 != mult(rd(sK1,sK1),sK0))), 356.41/48.11 introduced(choice_axiom,[])). 356.41/48.11 356.41/48.11 fof(f12,plain,( 356.41/48.11 sK0 != mult(sK0,rd(sK1,sK1)) | sK0 != mult(rd(sK1,sK1),sK0)), 356.41/48.11 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f11])). 356.41/48.11 356.41/48.11 fof(f18,plain,( 356.41/48.11 sK0 != mult(sK0,rd(sK1,sK1)) | sK0 != mult(rd(sK1,sK1),sK0)), 356.41/48.11 inference(cnf_transformation,[],[f12])). 356.41/48.11 356.41/48.11 fof(f1,axiom,( 356.41/48.11 ! [X0,X1] : ld(X1,mult(X1,X0)) = X0), 356.41/48.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02)). 356.41/48.11 356.41/48.11 fof(f13,plain,( 356.41/48.11 ( ! [X0,X1] : (ld(X1,mult(X1,X0)) = X0) )), 356.41/48.11 inference(cnf_transformation,[],[f1])). 356.41/48.11 356.41/48.11 fof(f4,axiom,( 356.41/48.11 ! [X0,X1] : mult(X1,ld(X1,X0)) = X0), 356.41/48.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01)). 356.41/48.11 356.41/48.11 fof(f16,plain,( 356.41/48.11 ( ! [X0,X1] : (mult(X1,ld(X1,X0)) = X0) )), 356.41/48.11 inference(cnf_transformation,[],[f4])). 356.41/48.11 356.41/48.11 fof(f2,axiom,( 356.41/48.11 ! [X2,X0,X1] : mult(mult(mult(X1,X0),X2),X0) = mult(X1,mult(X0,mult(X2,X0)))), 356.41/48.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05)). 356.41/48.11 356.41/48.11 fof(f8,plain,( 356.41/48.11 ! [X0,X1,X2] : mult(mult(mult(X2,X1),X0),X1) = mult(X2,mult(X1,mult(X0,X1)))), 356.41/48.11 inference(rectify,[],[f2])). 356.41/48.11 356.41/48.11 fof(f14,plain,( 356.41/48.11 ( ! [X2,X0,X1] : (mult(mult(mult(X2,X1),X0),X1) = mult(X2,mult(X1,mult(X0,X1)))) )), 356.41/48.11 inference(cnf_transformation,[],[f8])). 356.41/48.11 356.41/48.11 fof(f5,axiom,( 356.41/48.11 ! [X0,X1] : rd(mult(X1,X0),X0) = X1), 356.41/48.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04)). 356.41/48.11 356.41/48.11 fof(f17,plain,( 356.41/48.11 ( ! [X0,X1] : (rd(mult(X1,X0),X0) = X1) )), 356.41/48.11 inference(cnf_transformation,[],[f5])). 356.41/48.11 356.41/48.11 fof(f3,axiom,( 356.41/48.11 ! [X0,X1] : mult(rd(X1,X0),X0) = X1), 356.41/48.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03)). 356.41/48.11 356.41/48.11 fof(f15,plain,( 356.41/48.11 ( ! [X0,X1] : (mult(rd(X1,X0),X0) = X1) )), 356.41/48.11 inference(cnf_transformation,[],[f3])). 356.41/48.11 356.41/48.11 cnf(c_54,negated_conjecture, 356.41/48.11 ( mult(rd(sK1,sK1),sK0) != sK0 | mult(sK0,rd(sK1,sK1)) != sK0 ), 356.41/48.11 inference(cnf_transformation,[],[f18]) ). 356.41/48.11 356.41/48.11 cnf(c_49,plain, 356.41/48.11 ( ld(X0,mult(X0,X1)) = X1 ), 356.41/48.11 inference(cnf_transformation,[],[f13]) ). 356.41/48.11 356.41/48.11 cnf(c_52,plain, 356.41/48.11 ( mult(X0,ld(X0,X1)) = X1 ), 356.41/48.11 inference(cnf_transformation,[],[f16]) ). 356.41/48.11 356.41/48.11 cnf(c_50,plain, 356.41/48.11 ( mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(X1,mult(X2,X1))) ), 356.41/48.11 inference(cnf_transformation,[],[f14]) ). 356.41/48.11 356.41/48.11 cnf(c_137,plain, 356.41/48.11 ( mult(X0,mult(X1,mult(ld(mult(X0,X1),X2),X1))) = mult(X2,X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_52,c_50]) ). 356.41/48.11 356.41/48.11 cnf(c_185,plain, 356.41/48.11 ( mult(X0,mult(ld(mult(X1,X0),X2),X0)) = ld(X1,mult(X2,X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_137,c_49]) ). 356.41/48.11 356.41/48.11 cnf(c_325,plain, 356.41/48.11 ( mult(ld(mult(X0,X1),X2),X1) = ld(X1,ld(X0,mult(X2,X1))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_185,c_49]) ). 356.41/48.11 356.41/48.11 cnf(c_575,plain, 356.41/48.11 ( mult(ld(mult(X0,X1),X0),X1) = ld(X1,X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_49,c_325]) ). 356.41/48.11 356.41/48.11 cnf(c_53,plain, 356.41/48.11 ( rd(mult(X0,X1),X1) = X0 ), 356.41/48.11 inference(cnf_transformation,[],[f17]) ). 356.41/48.11 356.41/48.11 cnf(c_889,plain, 356.41/48.11 ( ld(mult(X0,X1),X0) = rd(ld(X1,X1),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_575,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_875,plain, 356.41/48.11 ( mult(ld(X0,X1),ld(X1,X0)) = ld(ld(X1,X0),ld(X1,X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_52,c_575]) ). 356.41/48.11 356.41/48.11 cnf(c_1566,plain, 356.41/48.11 ( mult(ld(X0,X1),mult(ld(X1,X0),ld(X0,X1))) = ld(X0,X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_875,c_52]) ). 356.41/48.11 356.41/48.11 cnf(c_2287,plain, 356.41/48.11 ( mult(rd(ld(X0,X0),X0),mult(ld(X1,mult(X1,X0)),rd(ld(X0,X0),X0))) = rd(ld(X0,X0),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_889,c_1566]) ). 356.41/48.11 356.41/48.11 cnf(c_51,plain, 356.41/48.11 ( mult(rd(X0,X1),X1) = X0 ), 356.41/48.11 inference(cnf_transformation,[],[f15]) ). 356.41/48.11 356.41/48.11 cnf(c_139,plain, 356.41/48.11 ( rd(mult(X0,mult(X1,mult(X2,X1))),X1) = mult(mult(X0,X1),X2) ), 356.41/48.11 inference(superposition,[status(thm)],[c_50,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_199,plain, 356.41/48.11 ( mult(mult(X0,X1),rd(X2,X1)) = rd(mult(X0,mult(X1,X2)),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_51,c_139]) ). 356.41/48.11 356.41/48.11 cnf(c_399,plain, 356.41/48.11 ( mult(mult(X0,X1),rd(ld(X1,X2),X1)) = rd(mult(X0,X2),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_52,c_199]) ). 356.41/48.11 356.41/48.11 cnf(c_690,plain, 356.41/48.11 ( mult(X0,rd(ld(X1,X2),X1)) = rd(mult(rd(X0,X1),X2),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_51,c_399]) ). 356.41/48.11 356.41/48.11 cnf(c_1188,plain, 356.41/48.11 ( mult(X0,rd(ld(X1,X1),X1)) = rd(X0,X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_690,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_891,plain, 356.41/48.11 ( ld(ld(mult(X0,X1),X0),ld(X1,X1)) = X1 ), 356.41/48.11 inference(superposition,[status(thm)],[c_575,c_49]) ). 356.41/48.11 356.41/48.11 cnf(c_1711,plain, 356.41/48.11 ( ld(mult(X0,X1),X0) = ld(mult(X2,X1),X2) ), 356.41/48.11 inference(superposition,[status(thm)],[c_889,c_889]) ). 356.41/48.11 356.41/48.11 cnf(c_1712,plain, 356.41/48.11 ( ld(mult(X0,X1),X0) = sP0_iProver_split(X1) ), 356.41/48.11 inference(splitting, 356.41/48.11 [splitting(split),new_symbols(definition,[sP0_iProver_split])], 356.41/48.11 [c_1711]) ). 356.41/48.11 356.41/48.11 cnf(c_1731,plain, 356.41/48.11 ( ld(sP0_iProver_split(X0),ld(X0,X0)) = X0 ), 356.41/48.11 inference(demodulation,[status(thm)],[c_891,c_1712]) ). 356.41/48.11 356.41/48.11 cnf(c_140,plain, 356.41/48.11 ( rd(X0,ld(X1,X0)) = X1 ), 356.41/48.11 inference(superposition,[status(thm)],[c_52,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_1735,plain, 356.41/48.11 ( rd(ld(X0,X0),X0) = sP0_iProver_split(X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1731,c_140]) ). 356.41/48.11 356.41/48.11 cnf(c_2346,plain, 356.41/48.11 ( mult(sP0_iProver_split(X0),rd(X0,X0)) = sP0_iProver_split(X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2287,c_49,c_1188,c_1735]) ). 356.41/48.11 356.41/48.11 cnf(c_874,plain, 356.41/48.11 ( mult(ld(X0,rd(X0,X1)),X1) = ld(X1,X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_51,c_575]) ). 356.41/48.11 356.41/48.11 cnf(c_1490,plain, 356.41/48.11 ( ld(X0,rd(X0,X1)) = rd(ld(X1,X1),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_874,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_2172,plain, 356.41/48.11 ( ld(X0,rd(X0,X1)) = sP0_iProver_split(X1) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_1490,c_1735]) ). 356.41/48.11 356.41/48.11 cnf(c_2192,plain, 356.41/48.11 ( mult(ld(rd(X0,X1),X0),sP0_iProver_split(X1)) = ld(sP0_iProver_split(X1),sP0_iProver_split(X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_2172,c_875]) ). 356.41/48.11 356.41/48.11 cnf(c_133,plain, 356.41/48.11 ( ld(rd(X0,X1),X0) = X1 ), 356.41/48.11 inference(superposition,[status(thm)],[c_51,c_49]) ). 356.41/48.11 356.41/48.11 cnf(c_132,plain, 356.41/48.11 ( mult(rd(X0,X1),mult(X1,mult(X2,X1))) = mult(mult(X0,X2),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_51,c_50]) ). 356.41/48.11 356.41/48.11 cnf(c_162,plain, 356.41/48.11 ( rd(mult(mult(X0,X1),X2),mult(X2,mult(X1,X2))) = rd(X0,X2) ), 356.41/48.11 inference(superposition,[status(thm)],[c_132,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_269,plain, 356.41/48.11 ( rd(mult(X0,X1),mult(X1,mult(X2,X1))) = rd(rd(X0,X2),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_51,c_162]) ). 356.41/48.11 356.41/48.11 cnf(c_896,plain, 356.41/48.11 ( rd(rd(X0,ld(mult(X1,X2),X1)),X2) = rd(mult(X0,X2),mult(X2,ld(X2,X2))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_575,c_269]) ). 356.41/48.11 356.41/48.11 cnf(c_916,plain, 356.41/48.11 ( rd(rd(X0,ld(mult(X1,X2),X1)),X2) = X0 ), 356.41/48.11 inference(demodulation,[status(thm)],[c_896,c_52,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_1742,plain, 356.41/48.11 ( rd(rd(X0,sP0_iProver_split(X1)),X1) = X0 ), 356.41/48.11 inference(demodulation,[status(thm)],[c_916,c_1712]) ). 356.41/48.11 356.41/48.11 cnf(c_1744,plain, 356.41/48.11 ( mult(X0,sP0_iProver_split(X1)) = rd(X0,X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_53,c_1742]) ). 356.41/48.11 356.41/48.11 cnf(c_2208,plain, 356.41/48.11 ( ld(sP0_iProver_split(X0),sP0_iProver_split(X0)) = rd(X0,X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2192,c_133,c_1744]) ). 356.41/48.11 356.41/48.11 cnf(c_158,plain, 356.41/48.11 ( mult(mult(X0,rd(X1,X2)),X2) = mult(rd(X0,X2),mult(X2,X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_51,c_132]) ). 356.41/48.11 356.41/48.11 cnf(c_241,plain, 356.41/48.11 ( mult(rd(rd(X0,rd(X1,X2)),X2),mult(X2,X1)) = mult(X0,X2) ), 356.41/48.11 inference(superposition,[status(thm)],[c_51,c_158]) ). 356.41/48.11 356.41/48.11 cnf(c_458,plain, 356.41/48.11 ( rd(rd(X0,rd(X1,X2)),X2) = rd(mult(X0,X2),mult(X2,X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_241,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_787,plain, 356.41/48.11 ( mult(rd(mult(X0,X1),mult(X1,X2)),X1) = rd(X0,rd(X2,X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_458,c_51]) ). 356.41/48.11 356.41/48.11 cnf(c_1322,plain, 356.41/48.11 ( mult(rd(mult(X0,X1),X2),X1) = rd(X0,rd(ld(X1,X2),X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_52,c_787]) ). 356.41/48.11 356.41/48.11 cnf(c_2089,plain, 356.41/48.11 ( mult(rd(mult(X0,ld(X1,X2)),ld(X1,X2)),ld(X1,X2)) = rd(X0,rd(mult(ld(X2,X1),ld(X1,X2)),ld(X1,X2))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_875,c_1322]) ). 356.41/48.11 356.41/48.11 cnf(c_2161,plain, 356.41/48.11 ( mult(X0,ld(X1,X2)) = rd(X0,ld(X2,X1)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2089,c_51,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_4612,plain, 356.41/48.11 ( mult(X0,rd(X1,X1)) = rd(X0,rd(X1,X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_2208,c_2161]) ). 356.41/48.11 356.41/48.11 cnf(c_582,plain, 356.41/48.11 ( mult(ld(mult(X0,X1),rd(X2,X1)),X1) = ld(X1,ld(X0,X2)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_51,c_325]) ). 356.41/48.11 356.41/48.11 cnf(c_1014,plain, 356.41/48.11 ( ld(mult(X0,X1),rd(X2,X1)) = rd(ld(X1,ld(X0,X2)),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_582,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_1871,plain, 356.41/48.11 ( ld(mult(X0,sP0_iProver_split(X0)),rd(X0,sP0_iProver_split(X0))) = rd(X0,sP0_iProver_split(X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1731,c_1014]) ). 356.41/48.11 356.41/48.11 cnf(c_164,plain, 356.41/48.11 ( ld(rd(X0,X1),mult(mult(X0,X2),X1)) = mult(X1,mult(X2,X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_132,c_49]) ). 356.41/48.11 356.41/48.11 cnf(c_300,plain, 356.41/48.11 ( mult(X0,mult(ld(X1,X2),X0)) = ld(rd(X1,X0),mult(X2,X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_52,c_164]) ). 356.41/48.11 356.41/48.11 cnf(c_1761,plain, 356.41/48.11 ( rd(X0,sP0_iProver_split(X1)) = mult(X0,X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1742,c_51]) ). 356.41/48.11 356.41/48.11 cnf(c_1932,plain, 356.41/48.11 ( mult(X0,mult(ld(X0,X0),X0)) = mult(X0,X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_1871,c_300,c_1744,c_1761]) ). 356.41/48.11 356.41/48.11 cnf(c_3131,plain, 356.41/48.11 ( mult(rd(mult(X0,X1),mult(X1,X1)),X1) = rd(X0,rd(mult(ld(X1,X1),X1),X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1932,c_787]) ). 356.41/48.11 356.41/48.11 cnf(c_3154,plain, 356.41/48.11 ( mult(X0,ld(X1,X1)) = rd(X0,rd(X1,X1)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_3131,c_53,c_787,c_2161]) ). 356.41/48.11 356.41/48.11 cnf(c_4633,plain, 356.41/48.11 ( mult(X0,ld(X1,X1)) = mult(X0,rd(X1,X1)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_4612,c_3154]) ). 356.41/48.11 356.41/48.11 cnf(c_4673,plain, 356.41/48.11 ( mult(sP0_iProver_split(X0),ld(X0,X0)) = sP0_iProver_split(X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2346,c_4633]) ). 356.41/48.11 356.41/48.11 cnf(c_4686,plain, 356.41/48.11 ( ld(sP0_iProver_split(X0),sP0_iProver_split(X0)) = sP0_iProver_split(ld(X0,X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_4673,c_1712]) ). 356.41/48.11 356.41/48.11 cnf(c_2176,plain, 356.41/48.11 ( sP0_iProver_split(ld(X0,X1)) = ld(X1,X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_140,c_2172]) ). 356.41/48.11 356.41/48.11 cnf(c_4745,plain, 356.41/48.11 ( ld(X0,X0) = rd(X0,X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_4686,c_2176,c_2208]) ). 356.41/48.11 356.41/48.11 cnf(c_13907,plain, 356.41/48.11 ( mult(ld(sK1,sK1),sK0) != sK0 | mult(sK0,ld(sK1,sK1)) != sK0 ), 356.41/48.11 inference(demodulation,[status(thm)],[c_54,c_4745]) ). 356.41/48.11 356.41/48.11 cnf(c_1733,plain, 356.41/48.11 ( mult(sP0_iProver_split(X0),X0) = ld(X0,X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1731,c_52]) ). 356.41/48.11 356.41/48.11 cnf(c_2671,plain, 356.41/48.11 ( mult(mult(X0,sP0_iProver_split(X1)),rd(X1,sP0_iProver_split(X1))) = rd(mult(X0,ld(X1,X1)),sP0_iProver_split(X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1733,c_199]) ). 356.41/48.11 356.41/48.11 cnf(c_2680,plain, 356.41/48.11 ( mult(mult(X0,ld(X1,X1)),X1) = mult(rd(X0,X1),mult(X1,X1)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2671,c_1744,c_1761]) ). 356.41/48.11 356.41/48.11 cnf(c_4709,plain, 356.41/48.11 ( rd(mult(X0,ld(X1,X1)),mult(ld(X1,X1),sP0_iProver_split(X1))) = rd(rd(X0,sP0_iProver_split(X1)),ld(X1,X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_4673,c_269]) ). 356.41/48.11 356.41/48.11 cnf(c_4729,plain, 356.41/48.11 ( mult(mult(X0,X1),ld(X1,X1)) = mult(rd(X0,X1),mult(X1,X1)) ), 356.41/48.11 inference(demodulation, 356.41/48.11 [status(thm)], 356.41/48.11 [c_4709,c_1735,c_1744,c_1761,c_2161,c_2680]) ). 356.41/48.11 356.41/48.11 cnf(c_6787,plain, 356.41/48.11 ( mult(mult(X0,ld(X1,X1)),X1) = mult(mult(X0,X1),ld(X1,X1)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2680,c_4729]) ). 356.41/48.11 356.41/48.11 cnf(c_6805,plain, 356.41/48.11 ( mult(mult(sP0_iProver_split(X0),X0),ld(X0,X0)) = mult(sP0_iProver_split(X0),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_4673,c_6787]) ). 356.41/48.11 356.41/48.11 cnf(c_6886,plain, 356.41/48.11 ( mult(ld(X0,X0),ld(X0,X0)) = ld(X0,X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_6805,c_1733]) ). 356.41/48.11 356.41/48.11 cnf(c_520,plain, 356.41/48.11 ( mult(X0,mult(ld(X1,rd(X2,X0)),X0)) = ld(rd(X1,X0),X2) ), 356.41/48.11 inference(superposition,[status(thm)],[c_51,c_300]) ). 356.41/48.11 356.41/48.11 cnf(c_841,plain, 356.41/48.11 ( rd(ld(rd(X0,X1),X2),mult(ld(X0,rd(X2,X1)),X1)) = X1 ), 356.41/48.11 inference(superposition,[status(thm)],[c_520,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_2186,plain, 356.41/48.11 ( sP0_iProver_split(mult(ld(X0,rd(X1,X2)),X2)) = ld(ld(rd(X0,X2),X1),X2) ), 356.41/48.11 inference(superposition,[status(thm)],[c_841,c_2172]) ). 356.41/48.11 356.41/48.11 cnf(c_4071,plain, 356.41/48.11 ( ld(ld(rd(X0,sP0_iProver_split(X1)),X2),sP0_iProver_split(X1)) = sP0_iProver_split(mult(ld(X0,mult(X2,X1)),sP0_iProver_split(X1))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1761,c_2186]) ). 356.41/48.11 356.41/48.11 cnf(c_4082,plain, 356.41/48.11 ( ld(ld(mult(X0,X1),X2),sP0_iProver_split(X1)) = sP0_iProver_split(rd(ld(X0,mult(X2,X1)),X1)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_4071,c_1744,c_1761]) ). 356.41/48.11 356.41/48.11 cnf(c_18699,plain, 356.41/48.11 ( sP0_iProver_split(rd(ld(ld(X0,X0),mult(X1,ld(X0,X0))),ld(X0,X0))) = ld(ld(ld(X0,X0),X1),sP0_iProver_split(ld(X0,X0))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_6886,c_4082]) ). 356.41/48.11 356.41/48.11 cnf(c_2791,plain, 356.41/48.11 ( mult(rd(X0,sP0_iProver_split(X1)),mult(sP0_iProver_split(X1),X2)) = rd(mult(X0,rd(X2,sP0_iProver_split(X1))),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1744,c_158]) ). 356.41/48.11 356.41/48.11 cnf(c_2813,plain, 356.41/48.11 ( mult(mult(X0,X1),mult(sP0_iProver_split(X1),X2)) = rd(mult(X0,mult(X2,X1)),X1) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2791,c_1761]) ). 356.41/48.11 356.41/48.11 cnf(c_8045,plain, 356.41/48.11 ( ld(rd(mult(X0,mult(X1,X2)),X2),mult(X0,X2)) = sP0_iProver_split(mult(sP0_iProver_split(X2),X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_2813,c_1712]) ). 356.41/48.11 356.41/48.11 cnf(c_2625,plain, 356.41/48.11 ( ld(rd(mult(rd(X0,X1),X2),X1),X0) = mult(X1,mult(sP0_iProver_split(X2),X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1712,c_520]) ). 356.41/48.11 356.41/48.11 cnf(c_2633,plain, 356.41/48.11 ( mult(X0,mult(sP0_iProver_split(X1),X0)) = sP0_iProver_split(rd(ld(X0,X1),X0)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2625,c_690,c_1712]) ). 356.41/48.11 356.41/48.11 cnf(c_8125,plain, 356.41/48.11 ( sP0_iProver_split(rd(ld(X0,mult(X1,X0)),X0)) = sP0_iProver_split(mult(sP0_iProver_split(X0),X1)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_8045,c_300,c_1712,c_2633]) ). 356.41/48.11 356.41/48.11 cnf(c_18825,plain, 356.41/48.11 ( ld(ld(ld(X0,X0),X1),ld(X0,X0)) = sP0_iProver_split(mult(ld(X0,X0),X1)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_18699,c_2176,c_8125]) ). 356.41/48.11 356.41/48.11 cnf(c_2181,plain, 356.41/48.11 ( ld(X0,mult(rd(mult(X0,X1),X2),X1)) = sP0_iProver_split(rd(ld(X1,X2),X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1322,c_2172]) ). 356.41/48.11 356.41/48.11 cnf(c_1568,plain, 356.41/48.11 ( rd(ld(X0,X1),mult(ld(X1,X0),ld(X0,X1))) = ld(X0,X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_875,c_140]) ). 356.41/48.11 356.41/48.11 cnf(c_2422,plain, 356.41/48.11 ( sP0_iProver_split(mult(ld(X0,X1),ld(X1,X0))) = ld(ld(X1,X0),ld(X1,X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1568,c_2172]) ). 356.41/48.11 356.41/48.11 cnf(c_2453,plain, 356.41/48.11 ( sP0_iProver_split(mult(ld(X0,X1),ld(X1,X0))) = mult(ld(X0,X1),ld(X1,X0)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2422,c_875]) ). 356.41/48.11 356.41/48.11 cnf(c_4851,plain, 356.41/48.11 ( sP0_iProver_split(mult(ld(mult(rd(mult(X0,X1),X2),X1),X0),sP0_iProver_split(rd(ld(X1,X2),X1)))) = mult(ld(mult(rd(mult(X0,X1),X2),X1),X0),sP0_iProver_split(rd(ld(X1,X2),X1))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_2181,c_2453]) ). 356.41/48.11 356.41/48.11 cnf(c_577,plain, 356.41/48.11 ( mult(ld(mult(rd(mult(X0,X1),X2),X1),X0),X1) = ld(X1,X2) ), 356.41/48.11 inference(superposition,[status(thm)],[c_133,c_325]) ). 356.41/48.11 356.41/48.11 cnf(c_954,plain, 356.41/48.11 ( ld(mult(rd(mult(X0,X1),X2),X1),X0) = rd(ld(X1,X2),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_577,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_4870,plain, 356.41/48.11 ( sP0_iProver_split(mult(rd(ld(X0,X1),X1),X0)) = mult(rd(ld(X0,X1),X1),X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_4851,c_51,c_954,c_1322,c_1744]) ). 356.41/48.11 356.41/48.11 cnf(c_14452,plain, 356.41/48.11 ( sP0_iProver_split(mult(rd(X0,X1),rd(X1,X0))) = mult(rd(X0,X1),rd(X1,X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_133,c_4870]) ). 356.41/48.11 356.41/48.11 cnf(c_45650,plain, 356.41/48.11 ( sP0_iProver_split(mult(X0,rd(X1,mult(X0,X1)))) = mult(X0,rd(X1,mult(X0,X1))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_53,c_14452]) ). 356.41/48.11 356.41/48.11 cnf(c_92378,plain, 356.41/48.11 ( sP0_iProver_split(mult(X0,rd(ld(X0,X1),X1))) = mult(X0,rd(ld(X0,X1),X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_52,c_45650]) ). 356.41/48.11 356.41/48.11 cnf(c_132437,plain, 356.41/48.11 ( sP0_iProver_split(mult(ld(ld(X0,X0),X1),rd(sP0_iProver_split(mult(ld(X0,X0),X1)),ld(X0,X0)))) = mult(ld(ld(X0,X0),X1),rd(sP0_iProver_split(mult(ld(X0,X0),X1)),ld(X0,X0))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_18825,c_92378]) ). 356.41/48.11 356.41/48.11 cnf(c_1570,plain, 356.41/48.11 ( mult(mult(X0,ld(X1,X2)),rd(mult(ld(X2,X1),ld(X1,X2)),ld(X1,X2))) = rd(mult(X0,ld(X1,X2)),ld(X1,X2)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_875,c_399]) ). 356.41/48.11 356.41/48.11 cnf(c_1571,plain, 356.41/48.11 ( mult(mult(X0,ld(X1,X2)),ld(X2,X1)) = X0 ), 356.41/48.11 inference(demodulation,[status(thm)],[c_1570,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_2801,plain, 356.41/48.11 ( rd(rd(mult(X0,sP0_iProver_split(X1)),mult(sP0_iProver_split(X1),X2)),X1) = rd(X0,rd(X2,sP0_iProver_split(X1))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1744,c_787]) ). 356.41/48.11 356.41/48.11 cnf(c_483,plain, 356.41/48.11 ( rd(rd(rd(X0,X1),X2),X1) = rd(X0,mult(X1,mult(X2,X1))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_51,c_269]) ). 356.41/48.11 356.41/48.11 cnf(c_2805,plain, 356.41/48.11 ( rd(X0,mult(X1,mult(mult(sP0_iProver_split(X1),X2),X1))) = rd(X0,mult(X2,X1)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2801,c_483,c_1744,c_1761]) ). 356.41/48.11 356.41/48.11 cnf(c_7601,plain, 356.41/48.11 ( rd(X0,rd(mult(mult(sP0_iProver_split(X1),X2),X1),X1)) = mult(rd(mult(X0,X1),mult(X2,X1)),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_2805,c_787]) ). 356.41/48.11 356.41/48.11 cnf(c_7635,plain, 356.41/48.11 ( mult(rd(mult(X0,X1),mult(X2,X1)),X1) = rd(X0,mult(sP0_iProver_split(X1),X2)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_7601,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_21184,plain, 356.41/48.11 ( mult(ld(mult(X0,X1),mult(X0,X1)),X1) = rd(X0,mult(sP0_iProver_split(X1),X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_4745,c_7635]) ). 356.41/48.11 356.41/48.11 cnf(c_323,plain, 356.41/48.11 ( rd(ld(X0,mult(X1,X2)),mult(ld(mult(X0,X2),X1),X2)) = X2 ), 356.41/48.11 inference(superposition,[status(thm)],[c_185,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_2180,plain, 356.41/48.11 ( sP0_iProver_split(mult(ld(mult(X0,X1),X2),X1)) = ld(ld(X0,mult(X2,X1)),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_323,c_2172]) ). 356.41/48.11 356.41/48.11 cnf(c_62589,plain, 356.41/48.11 ( ld(ld(X0,mult(mult(X0,X1),X1)),X1) = sP0_iProver_split(rd(X0,mult(sP0_iProver_split(X1),X0))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_21184,c_2180]) ). 356.41/48.11 356.41/48.11 cnf(c_107576,plain, 356.41/48.11 ( sP0_iProver_split(rd(X0,mult(sP0_iProver_split(ld(X1,X1)),X0))) = ld(ld(X0,X0),ld(X1,X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1571,c_62589]) ). 356.41/48.11 356.41/48.11 cnf(c_107933,plain, 356.41/48.11 ( sP0_iProver_split(rd(X0,mult(ld(X1,X1),X0))) = ld(ld(X0,X0),ld(X1,X1)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_107576,c_2176]) ). 356.41/48.11 356.41/48.11 cnf(c_2799,plain, 356.41/48.11 ( ld(rd(rd(mult(X0,sP0_iProver_split(X1)),X2),X1),X0) = rd(ld(sP0_iProver_split(X1),X2),sP0_iProver_split(X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1744,c_954]) ). 356.41/48.11 356.41/48.11 cnf(c_2806,plain, 356.41/48.11 ( mult(ld(sP0_iProver_split(X0),X1),X0) = mult(X0,mult(X1,X0)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2799,c_133,c_483,c_1744,c_1761]) ). 356.41/48.11 356.41/48.11 cnf(c_7776,plain, 356.41/48.11 ( mult(sP0_iProver_split(X0),mult(X1,sP0_iProver_split(X0))) = rd(ld(sP0_iProver_split(sP0_iProver_split(X0)),X1),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_2806,c_1744]) ). 356.41/48.11 356.41/48.11 cnf(c_2755,plain, 356.41/48.11 ( ld(rd(X0,X1),X0) = sP0_iProver_split(sP0_iProver_split(X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1744,c_1712]) ). 356.41/48.11 356.41/48.11 cnf(c_2836,plain, 356.41/48.11 ( sP0_iProver_split(sP0_iProver_split(X0)) = X0 ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2755,c_133]) ). 356.41/48.11 356.41/48.11 cnf(c_7781,plain, 356.41/48.11 ( mult(sP0_iProver_split(X0),rd(X1,X0)) = rd(ld(X0,X1),X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_7776,c_1744,c_2836]) ). 356.41/48.11 356.41/48.11 cnf(c_1922,plain, 356.41/48.11 ( rd(ld(mult(X0,sP0_iProver_split(X1)),rd(X2,sP0_iProver_split(X1))),X1) = ld(sP0_iProver_split(X1),ld(X0,X2)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1014,c_1742]) ). 356.41/48.11 356.41/48.11 cnf(c_1923,plain, 356.41/48.11 ( rd(mult(X0,mult(ld(X1,X2),X0)),X0) = ld(sP0_iProver_split(X0),ld(X1,X2)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_1922,c_300,c_1744,c_1761]) ). 356.41/48.11 356.41/48.11 cnf(c_3033,plain, 356.41/48.11 ( rd(mult(X0,mult(sP0_iProver_split(X1),X0)),X0) = ld(sP0_iProver_split(X0),sP0_iProver_split(X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_2172,c_1923]) ). 356.41/48.11 356.41/48.11 cnf(c_3086,plain, 356.41/48.11 ( rd(sP0_iProver_split(rd(ld(X0,X1),X0)),X0) = ld(sP0_iProver_split(X0),sP0_iProver_split(X1)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_3033,c_2633]) ). 356.41/48.11 356.41/48.11 cnf(c_129,plain, 356.41/48.11 ( ld(mult(mult(X0,X1),X2),mult(X0,mult(X1,mult(X2,X1)))) = X1 ), 356.41/48.11 inference(superposition,[status(thm)],[c_50,c_49]) ). 356.41/48.11 356.41/48.11 cnf(c_151,plain, 356.41/48.11 ( ld(mult(mult(X0,X1),rd(X2,X1)),mult(X0,mult(X1,X2))) = X1 ), 356.41/48.11 inference(superposition,[status(thm)],[c_51,c_129]) ). 356.41/48.11 356.41/48.11 cnf(c_2764,plain, 356.41/48.11 ( ld(mult(rd(X0,X1),rd(X2,sP0_iProver_split(X1))),mult(X0,mult(sP0_iProver_split(X1),X2))) = sP0_iProver_split(X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1744,c_151]) ). 356.41/48.11 356.41/48.11 cnf(c_2828,plain, 356.41/48.11 ( ld(mult(rd(X0,X1),mult(X2,X1)),mult(X0,mult(sP0_iProver_split(X1),X2))) = sP0_iProver_split(X1) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2764,c_1761]) ). 356.41/48.11 356.41/48.11 cnf(c_8348,plain, 356.41/48.11 ( rd(mult(X0,mult(sP0_iProver_split(X1),X0)),X0) = ld(sP0_iProver_split(X0),sP0_iProver_split(X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_2828,c_1923]) ). 356.41/48.11 356.41/48.11 cnf(c_8017,plain, 356.41/48.11 ( mult(mult(X0,X1),rd(sP0_iProver_split(X1),X2)) = rd(mult(X0,mult(sP0_iProver_split(X2),X1)),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1744,c_2813]) ). 356.41/48.11 356.41/48.11 cnf(c_8360,plain, 356.41/48.11 ( mult(mult(X0,X0),rd(sP0_iProver_split(X0),X1)) = ld(sP0_iProver_split(X0),sP0_iProver_split(X1)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_8348,c_8017]) ). 356.41/48.11 356.41/48.11 cnf(c_24250,plain, 356.41/48.11 ( mult(rd(mult(X0,X0),X1),mult(X1,sP0_iProver_split(X0))) = mult(ld(sP0_iProver_split(X0),sP0_iProver_split(X1)),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_8360,c_158]) ). 356.41/48.11 356.41/48.11 cnf(c_24255,plain, 356.41/48.11 ( mult(rd(mult(X0,X0),X1),rd(X1,X0)) = mult(ld(sP0_iProver_split(X0),sP0_iProver_split(X1)),X1) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_24250,c_1744]) ). 356.41/48.11 356.41/48.11 cnf(c_71747,plain, 356.41/48.11 ( mult(ld(sP0_iProver_split(X0),sP0_iProver_split(sP0_iProver_split(rd(ld(X0,X1),X0)))),sP0_iProver_split(rd(ld(X0,X1),X0))) = mult(rd(mult(X0,X0),sP0_iProver_split(rd(ld(X0,X1),X0))),ld(sP0_iProver_split(X0),sP0_iProver_split(X1))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_3086,c_24255]) ). 356.41/48.11 356.41/48.11 cnf(c_2911,plain, 356.41/48.11 ( ld(mult(mult(mult(X0,X1),X2),X1),X0) = rd(ld(X1,sP0_iProver_split(X2)),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1761,c_954]) ). 356.41/48.11 356.41/48.11 cnf(c_2915,plain, 356.41/48.11 ( rd(ld(X0,sP0_iProver_split(X1)),X0) = sP0_iProver_split(mult(X0,mult(X1,X0))) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2911,c_50,c_1712]) ). 356.41/48.11 356.41/48.11 cnf(c_72062,plain, 356.41/48.11 ( mult(rd(mult(X0,X1),X0),ld(sP0_iProver_split(X0),sP0_iProver_split(X1))) = mult(ld(X1,X1),X0) ), 356.41/48.11 inference(demodulation, 356.41/48.11 [status(thm)], 356.41/48.11 [c_71747,c_51,c_52,c_399,c_1322,c_1744,c_1761,c_2633,c_2806, 356.41/48.11 c_2836,c_2915,c_4745]) ). 356.41/48.11 356.41/48.11 cnf(c_122092,plain, 356.41/48.11 ( mult(rd(rd(ld(X0,X1),X0),sP0_iProver_split(X0)),ld(sP0_iProver_split(sP0_iProver_split(X0)),sP0_iProver_split(rd(X1,X0)))) = mult(ld(rd(X1,X0),rd(X1,X0)),sP0_iProver_split(X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_7781,c_72062]) ). 356.41/48.11 356.41/48.11 cnf(c_843,plain, 356.41/48.11 ( mult(ld(X0,rd(X1,X2)),X2) = ld(X2,ld(rd(X0,X2),X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_520,c_49]) ). 356.41/48.11 356.41/48.11 cnf(c_2205,plain, 356.41/48.11 ( mult(ld(X0,rd(rd(rd(X0,X1),X2),X1)),X1) = ld(X1,sP0_iProver_split(X2)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_2172,c_843]) ). 356.41/48.11 356.41/48.11 cnf(c_2206,plain, 356.41/48.11 ( mult(sP0_iProver_split(mult(X0,mult(X1,X0))),X0) = ld(X0,sP0_iProver_split(X1)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2205,c_483,c_2172]) ). 356.41/48.11 356.41/48.11 cnf(c_4511,plain, 356.41/48.11 ( mult(sP0_iProver_split(mult(X0,X1)),X0) = ld(X0,sP0_iProver_split(rd(X1,X0))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_51,c_2206]) ). 356.41/48.11 356.41/48.11 cnf(c_13976,plain, 356.41/48.11 ( rd(ld(rd(X0,X1),rd(X0,X1)),X1) = rd(X0,mult(X1,mult(rd(X0,X1),X1))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_4745,c_483]) ). 356.41/48.11 356.41/48.11 cnf(c_14029,plain, 356.41/48.11 ( rd(ld(rd(X0,X1),rd(X0,X1)),X1) = rd(X0,mult(X1,X0)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_13976,c_51]) ). 356.41/48.11 356.41/48.11 cnf(c_122640,plain, 356.41/48.11 ( mult(ld(X0,X1),mult(sP0_iProver_split(mult(X0,X1)),X0)) = rd(X1,mult(X0,X1)) ), 356.41/48.11 inference(demodulation, 356.41/48.11 [status(thm)], 356.41/48.11 [c_122092,c_51,c_1744,c_1761,c_2836,c_4511,c_14029]) ). 356.41/48.11 356.41/48.11 cnf(c_132810,plain, 356.41/48.11 ( ld(ld(X0,X0),ld(X1,X1)) = rd(X0,mult(ld(X1,X1),X0)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_132437,c_2161,c_107933,c_122640]) ). 356.41/48.11 356.41/48.11 cnf(c_195,plain, 356.41/48.11 ( mult(mult(rd(X0,mult(X1,mult(X2,X1))),X1),X2) = rd(X0,X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_51,c_139]) ). 356.41/48.11 356.41/48.11 cnf(c_354,plain, 356.41/48.11 ( mult(mult(rd(X0,mult(X1,X2)),X1),rd(X2,X1)) = rd(X0,X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_51,c_195]) ). 356.41/48.11 356.41/48.11 cnf(c_619,plain, 356.41/48.11 ( mult(rd(X0,mult(X1,X2)),X1) = rd(rd(X0,X1),rd(X2,X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_354,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_13998,plain, 356.41/48.11 ( mult(rd(X0,mult(X1,X0)),X1) = ld(rd(X0,X1),rd(X0,X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_4745,c_619]) ). 356.41/48.11 356.41/48.11 cnf(c_1016,plain, 356.41/48.11 ( ld(ld(mult(X0,X1),rd(X2,X1)),ld(X1,ld(X0,X2))) = X1 ), 356.41/48.11 inference(superposition,[status(thm)],[c_582,c_49]) ). 356.41/48.11 356.41/48.11 cnf(c_3042,plain, 356.41/48.11 ( rd(mult(X0,mult(X1,X0)),X0) = ld(sP0_iProver_split(X0),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1016,c_1923]) ). 356.41/48.11 356.41/48.11 cnf(c_9081,plain, 356.41/48.11 ( rd(mult(ld(X0,X1),X1),ld(X0,X1)) = ld(sP0_iProver_split(ld(X0,X1)),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_52,c_3042]) ). 356.41/48.11 356.41/48.11 cnf(c_9198,plain, 356.41/48.11 ( mult(mult(ld(X0,X1),X1),ld(X1,X0)) = ld(ld(X1,X0),X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_9081,c_2161,c_2176]) ). 356.41/48.11 356.41/48.11 cnf(c_44550,plain, 356.41/48.11 ( mult(mult(mult(rd(X0,mult(X1,X0)),X1),rd(X0,X1)),mult(rd(X0,mult(X1,X0)),X1)) = ld(mult(rd(X0,mult(X1,X0)),X1),rd(X0,X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_13998,c_9198]) ). 356.41/48.11 356.41/48.11 cnf(c_621,plain, 356.41/48.11 ( ld(mult(rd(X0,mult(X1,X2)),X1),rd(X0,X1)) = rd(X2,X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_354,c_49]) ). 356.41/48.11 356.41/48.11 cnf(c_1092,plain, 356.41/48.11 ( ld(mult(rd(X0,X1),X2),rd(X0,X2)) = rd(ld(X2,X1),X2) ), 356.41/48.11 inference(superposition,[status(thm)],[c_52,c_621]) ). 356.41/48.11 356.41/48.11 cnf(c_44673,plain, 356.41/48.11 ( mult(rd(X0,X1),mult(rd(X0,mult(X1,X0)),X1)) = rd(X0,X1) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_44550,c_49,c_354,c_1092]) ). 356.41/48.11 356.41/48.11 cnf(c_160643,plain, 356.41/48.11 ( mult(rd(X0,ld(X1,X1)),mult(ld(ld(X0,X0),ld(X1,X1)),ld(X1,X1))) = rd(X0,ld(X1,X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_132810,c_44673]) ). 356.41/48.11 356.41/48.11 cnf(c_145511,plain, 356.41/48.11 ( ld(ld(X0,X0),ld(X1,X1)) = ld(ld(X1,X1),ld(X0,X0)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_107933,c_2176,c_132810]) ). 356.41/48.11 356.41/48.11 cnf(c_1888,plain, 356.41/48.11 ( ld(mult(sP0_iProver_split(X0),X1),rd(ld(X0,X0),X1)) = rd(ld(X1,X0),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1731,c_1014]) ). 356.41/48.11 356.41/48.11 cnf(c_8409,plain, 356.41/48.11 ( ld(mult(X0,X1),rd(ld(sP0_iProver_split(X0),sP0_iProver_split(X0)),X1)) = rd(ld(X1,sP0_iProver_split(X0)),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_2836,c_1888]) ). 356.41/48.11 356.41/48.11 cnf(c_4699,plain, 356.41/48.11 ( ld(sP0_iProver_split(X0),sP0_iProver_split(X0)) = ld(X0,X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_4673,c_49]) ). 356.41/48.11 356.41/48.11 cnf(c_8416,plain, 356.41/48.11 ( ld(mult(X0,X1),rd(ld(X0,X0),X1)) = sP0_iProver_split(mult(X1,mult(X0,X1))) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_8409,c_2915,c_4699]) ). 356.41/48.11 356.41/48.11 cnf(c_24537,plain, 356.41/48.11 ( ld(X0,rd(ld(X1,X1),ld(X1,X0))) = sP0_iProver_split(mult(ld(X1,X0),X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_52,c_8416]) ). 356.41/48.11 356.41/48.11 cnf(c_24695,plain, 356.41/48.11 ( ld(X0,mult(ld(X1,X1),ld(X0,X1))) = sP0_iProver_split(mult(ld(X1,X0),X0)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_24537,c_2161]) ). 356.41/48.11 356.41/48.11 cnf(c_72614,plain, 356.41/48.11 ( ld(mult(ld(X0,X0),ld(X1,X0)),X1) = sP0_iProver_split(sP0_iProver_split(mult(ld(X0,X1),X1))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_24695,c_2176]) ). 356.41/48.11 356.41/48.11 cnf(c_72718,plain, 356.41/48.11 ( ld(mult(ld(X0,X0),ld(X1,X0)),X1) = mult(ld(X0,X1),X1) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_72614,c_2836]) ). 356.41/48.11 356.41/48.11 cnf(c_145737,plain, 356.41/48.11 ( ld(mult(ld(ld(X0,X0),ld(X0,X0)),ld(ld(X0,X0),ld(X1,X1))),ld(X1,X1)) = mult(ld(ld(X0,X0),ld(X1,X1)),ld(X1,X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_145511,c_72718]) ). 356.41/48.11 356.41/48.11 cnf(c_3112,plain, 356.41/48.11 ( mult(ld(X0,X0),X0) = ld(X0,mult(X0,X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1932,c_49]) ). 356.41/48.11 356.41/48.11 cnf(c_3161,plain, 356.41/48.11 ( mult(ld(X0,X0),X0) = X0 ), 356.41/48.11 inference(demodulation,[status(thm)],[c_3112,c_49]) ). 356.41/48.11 356.41/48.11 cnf(c_10091,plain, 356.41/48.11 ( mult(ld(X0,X1),ld(X1,X0)) = ld(ld(X0,X1),ld(X0,X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_3161,c_1571]) ). 356.41/48.11 356.41/48.11 cnf(c_145838,plain, 356.41/48.11 ( mult(ld(ld(X0,X0),ld(X1,X1)),ld(X1,X1)) = ld(X1,X1) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_145737,c_52,c_6886,c_10091]) ). 356.41/48.11 356.41/48.11 cnf(c_160672,plain, 356.41/48.11 ( mult(X0,ld(X1,X1)) = X0 ), 356.41/48.11 inference(demodulation,[status(thm)],[c_160643,c_1571,c_2161,c_145838]) ). 356.41/48.11 356.41/48.11 cnf(c_160544,plain, 356.41/48.11 ( mult(ld(ld(mult(X0,ld(X1,X1)),mult(X0,ld(X1,X1))),ld(X1,X1)),ld(X1,X1)) = rd(X0,rd(mult(X0,ld(X1,X1)),ld(X1,X1))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_132810,c_787]) ). 356.41/48.11 356.41/48.11 cnf(c_160746,plain, 356.41/48.11 ( ld(X0,X0) = ld(X1,X1) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_160544,c_53,c_4745,c_145838]) ). 356.41/48.11 356.41/48.11 cnf(c_160747,plain, 356.41/48.11 ( ld(X0,X0) = sP1_iProver_split ), 356.41/48.11 inference(splitting, 356.41/48.11 [splitting(split),new_symbols(definition,[sP1_iProver_split])], 356.41/48.11 [c_160746]) ). 356.41/48.11 356.41/48.11 cnf(c_2630,plain, 356.41/48.11 ( rd(ld(rd(mult(rd(X0,X1),X2),X1),X0),mult(sP0_iProver_split(X2),X1)) = X1 ), 356.41/48.11 inference(superposition,[status(thm)],[c_1712,c_841]) ). 356.41/48.11 356.41/48.11 cnf(c_2632,plain, 356.41/48.11 ( rd(sP0_iProver_split(rd(ld(X0,X1),X0)),mult(sP0_iProver_split(X1),X0)) = X0 ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2630,c_690,c_1712]) ). 356.41/48.11 356.41/48.11 cnf(c_5221,plain, 356.41/48.11 ( rd(sP0_iProver_split(rd(ld(sP0_iProver_split(X0),X1),sP0_iProver_split(X0))),rd(sP0_iProver_split(X1),X0)) = sP0_iProver_split(X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1744,c_2632]) ). 356.41/48.11 356.41/48.11 cnf(c_5294,plain, 356.41/48.11 ( rd(sP0_iProver_split(mult(X0,mult(X1,X0))),rd(sP0_iProver_split(X1),X0)) = sP0_iProver_split(X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_5221,c_1761,c_2806]) ). 356.41/48.11 356.41/48.11 cnf(c_15485,plain, 356.41/48.11 ( rd(mult(sP0_iProver_split(mult(X0,mult(X1,X0))),X0),mult(X0,sP0_iProver_split(X1))) = rd(sP0_iProver_split(X0),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_5294,c_458]) ). 356.41/48.11 356.41/48.11 cnf(c_884,plain, 356.41/48.11 ( mult(ld(ld(X0,X0),ld(mult(X1,X0),X1)),X0) = ld(X0,X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_575,c_575]) ). 356.41/48.11 356.41/48.11 cnf(c_1845,plain, 356.41/48.11 ( ld(mult(rd(ld(X0,X0),X1),X0),ld(ld(X0,X0),ld(mult(X2,X0),X2))) = rd(ld(X0,X1),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_884,c_954]) ). 356.41/48.11 356.41/48.11 cnf(c_1609,plain, 356.41/48.11 ( ld(ld(X0,X0),ld(mult(X1,X0),X1)) = rd(ld(X0,X0),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_884,c_53]) ). 356.41/48.11 356.41/48.11 cnf(c_1858,plain, 356.41/48.11 ( ld(mult(rd(ld(X0,X0),X1),X0),sP0_iProver_split(X0)) = rd(ld(X0,X1),X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_1845,c_1609,c_1735]) ). 356.41/48.11 356.41/48.11 cnf(c_2947,plain, 356.41/48.11 ( ld(mult(mult(ld(X0,X0),X1),X0),sP0_iProver_split(X0)) = rd(ld(X0,sP0_iProver_split(X1)),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1761,c_1858]) ). 356.41/48.11 356.41/48.11 cnf(c_2968,plain, 356.41/48.11 ( ld(mult(mult(ld(X0,X0),X1),X0),sP0_iProver_split(X0)) = sP0_iProver_split(mult(X0,mult(X1,X0))) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2947,c_2915]) ). 356.41/48.11 356.41/48.11 cnf(c_9004,plain, 356.41/48.11 ( sP0_iProver_split(mult(X0,mult(mult(ld(X0,X0),ld(X0,X0)),X0))) = ld(mult(ld(X0,X0),X0),sP0_iProver_split(X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1566,c_2968]) ). 356.41/48.11 356.41/48.11 cnf(c_9058,plain, 356.41/48.11 ( ld(X0,sP0_iProver_split(X0)) = sP0_iProver_split(mult(X0,X0)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_9004,c_52,c_3161,c_6787]) ). 356.41/48.11 356.41/48.11 cnf(c_8994,plain, 356.41/48.11 ( ld(mult(mult(ld(X0,X0),X0),ld(X0,X0)),sP0_iProver_split(X0)) = sP0_iProver_split(mult(X0,mult(ld(X0,X0),X0))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_6787,c_2968]) ). 356.41/48.11 356.41/48.11 cnf(c_3368,plain, 356.41/48.11 ( ld(mult(mult(ld(X0,X0),ld(X1,X2)),X0),sP0_iProver_split(X0)) = rd(ld(X0,ld(X2,X1)),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_2161,c_1858]) ). 356.41/48.11 356.41/48.11 cnf(c_3373,plain, 356.41/48.11 ( sP0_iProver_split(mult(X0,mult(ld(X1,X2),X0))) = ld(mult(X2,X0),rd(X1,X0)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_3368,c_1014,c_2968]) ). 356.41/48.11 356.41/48.11 cnf(c_712,plain, 356.41/48.11 ( ld(mult(X0,X1),rd(mult(X0,X2),X1)) = rd(ld(X1,X2),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_399,c_49]) ). 356.41/48.11 356.41/48.11 cnf(c_2646,plain, 356.41/48.11 ( ld(ld(X0,X0),rd(mult(sP0_iProver_split(X0),X1),X0)) = rd(ld(X0,X1),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1733,c_712]) ). 356.41/48.11 356.41/48.11 cnf(c_5644,plain, 356.41/48.11 ( ld(ld(X0,X0),rd(sP0_iProver_split(X0),X0)) = rd(ld(X0,ld(X0,X0)),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_4673,c_2646]) ). 356.41/48.11 356.41/48.11 cnf(c_3097,plain, 356.41/48.11 ( mult(sP0_iProver_split(X0),rd(ld(sP0_iProver_split(X0),sP0_iProver_split(X0)),X0)) = mult(sP0_iProver_split(X0),sP0_iProver_split(X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1744,c_1932]) ). 356.41/48.11 356.41/48.11 cnf(c_2769,plain, 356.41/48.11 ( mult(sP0_iProver_split(X0),mult(ld(X1,X2),sP0_iProver_split(X0))) = ld(rd(X1,sP0_iProver_split(X0)),rd(X2,X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1744,c_300]) ). 356.41/48.11 356.41/48.11 cnf(c_2825,plain, 356.41/48.11 ( mult(sP0_iProver_split(X0),rd(ld(X1,X2),X0)) = ld(mult(X1,X0),rd(X2,X0)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_2769,c_1744,c_1761]) ). 356.41/48.11 356.41/48.11 cnf(c_3163,plain, 356.41/48.11 ( ld(ld(X0,X0),rd(sP0_iProver_split(X0),X0)) = rd(sP0_iProver_split(X0),X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_3097,c_1733,c_1744,c_2825]) ). 356.41/48.11 356.41/48.11 cnf(c_5681,plain, 356.41/48.11 ( ld(mult(X0,X0),ld(X0,X0)) = rd(sP0_iProver_split(X0),X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_5644,c_1014,c_3163,c_4745]) ). 356.41/48.11 356.41/48.11 cnf(c_9062,plain, 356.41/48.11 ( ld(X0,sP0_iProver_split(X0)) = rd(sP0_iProver_split(X0),X0) ), 356.41/48.11 inference(demodulation, 356.41/48.11 [status(thm)], 356.41/48.11 [c_8994,c_52,c_3161,c_3373,c_4745,c_5681]) ). 356.41/48.11 356.41/48.11 cnf(c_15537,plain, 356.41/48.11 ( rd(ld(X0,sP0_iProver_split(X1)),rd(X0,X1)) = sP0_iProver_split(mult(X0,X0)) ), 356.41/48.11 inference(demodulation, 356.41/48.11 [status(thm)], 356.41/48.11 [c_15485,c_1744,c_2206,c_9058,c_9062]) ). 356.41/48.11 356.41/48.11 cnf(c_46901,plain, 356.41/48.11 ( rd(mult(ld(X0,sP0_iProver_split(X1)),X1),mult(X1,X0)) = rd(sP0_iProver_split(mult(X0,X0)),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_15537,c_458]) ). 356.41/48.11 356.41/48.11 cnf(c_4509,plain, 356.41/48.11 ( mult(sP0_iProver_split(mult(X0,X0)),X0) = ld(X0,sP0_iProver_split(ld(X0,X0))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1932,c_2206]) ). 356.41/48.11 356.41/48.11 cnf(c_4596,plain, 356.41/48.11 ( mult(sP0_iProver_split(mult(X0,X0)),X0) = ld(X0,ld(X0,X0)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_4509,c_2176]) ). 356.41/48.11 356.41/48.11 cnf(c_5208,plain, 356.41/48.11 ( rd(sP0_iProver_split(rd(X0,sP0_iProver_split(X0))),mult(sP0_iProver_split(ld(X0,X0)),sP0_iProver_split(X0))) = sP0_iProver_split(X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1731,c_2632]) ). 356.41/48.11 356.41/48.11 cnf(c_5301,plain, 356.41/48.11 ( ld(X0,ld(X0,X0)) = sP0_iProver_split(X0) ), 356.41/48.11 inference(demodulation, 356.41/48.11 [status(thm)], 356.41/48.11 [c_5208,c_1735,c_1744,c_1761,c_2176,c_4596]) ). 356.41/48.11 356.41/48.11 cnf(c_13190,plain, 356.41/48.11 ( mult(sP0_iProver_split(mult(X0,X0)),X0) = sP0_iProver_split(X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_4596,c_5301]) ). 356.41/48.11 356.41/48.11 cnf(c_13224,plain, 356.41/48.11 ( rd(rd(sP0_iProver_split(mult(X0,X0)),X1),X0) = rd(sP0_iProver_split(X0),mult(X0,mult(X1,X0))) ), 356.41/48.11 inference(superposition,[status(thm)],[c_13190,c_269]) ). 356.41/48.11 356.41/48.11 cnf(c_22251,plain, 356.41/48.11 ( mult(sP0_iProver_split(X0),sP0_iProver_split(mult(X0,mult(X1,X0)))) = rd(ld(X0,ld(X0,sP0_iProver_split(X1))),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_2915,c_7781]) ). 356.41/48.11 356.41/48.11 cnf(c_22445,plain, 356.41/48.11 ( ld(mult(X0,X0),rd(sP0_iProver_split(X1),X0)) = rd(sP0_iProver_split(X0),mult(X0,mult(X1,X0))) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_22251,c_1014,c_1744]) ). 356.41/48.11 356.41/48.11 cnf(c_37718,plain, 356.41/48.11 ( ld(mult(X0,X0),rd(sP0_iProver_split(X1),X0)) = rd(rd(sP0_iProver_split(mult(X0,X0)),X1),X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_13224,c_22445]) ). 356.41/48.11 356.41/48.11 cnf(c_37781,plain, 356.41/48.11 ( mult(ld(mult(X0,X0),rd(sP0_iProver_split(X1),X0)),X0) = rd(sP0_iProver_split(mult(X0,X0)),X1) ), 356.41/48.11 inference(superposition,[status(thm)],[c_37718,c_51]) ). 356.41/48.11 356.41/48.11 cnf(c_37895,plain, 356.41/48.11 ( ld(X0,ld(X0,sP0_iProver_split(X1))) = rd(sP0_iProver_split(mult(X0,X0)),X1) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_37781,c_582]) ). 356.41/48.11 356.41/48.11 cnf(c_46973,plain, 356.41/48.11 ( rd(mult(ld(X0,sP0_iProver_split(X1)),X1),mult(X1,X0)) = ld(X0,ld(X0,sP0_iProver_split(X1))) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_46901,c_37895]) ). 356.41/48.11 356.41/48.11 cnf(c_94155,plain, 356.41/48.11 ( rd(mult(X0,X1),mult(X1,rd(sP0_iProver_split(X1),X0))) = ld(rd(sP0_iProver_split(X1),X0),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_133,c_46973]) ). 356.41/48.11 356.41/48.11 cnf(c_132996,plain, 356.41/48.11 ( rd(mult(mult(sP0_iProver_split(X0),X1),rd(ld(X1,X0),X1)),mult(rd(ld(X1,X0),X1),X1)) = ld(X1,mult(sP0_iProver_split(X0),X1)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_2632,c_94155]) ). 356.41/48.11 356.41/48.11 cnf(c_7692,plain, 356.41/48.11 ( mult(X0,mult(rd(sP0_iProver_split(X0),X1),X0)) = mult(sP0_iProver_split(X1),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_2172,c_2806]) ). 356.41/48.11 356.41/48.11 cnf(c_21769,plain, 356.41/48.11 ( mult(rd(sP0_iProver_split(X0),X1),X0) = ld(X0,mult(sP0_iProver_split(X1),X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_7692,c_49]) ). 356.41/48.11 356.41/48.11 cnf(c_133283,plain, 356.41/48.11 ( mult(rd(ld(X0,X0),X1),ld(X0,X1)) = mult(rd(sP0_iProver_split(X1),X0),X1) ), 356.41/48.11 inference(demodulation, 356.41/48.11 [status(thm)], 356.41/48.11 [c_132996,c_51,c_399,c_1733,c_2161,c_21769]) ). 356.41/48.11 356.41/48.11 cnf(c_133208,plain, 356.41/48.11 ( ld(mult(ld(rd(sP0_iProver_split(X0),X1),X1),X0),X1) = rd(ld(X0,mult(X0,rd(sP0_iProver_split(X0),X1))),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_94155,c_954]) ). 356.41/48.11 356.41/48.11 cnf(c_133219,plain, 356.41/48.11 ( ld(mult(ld(rd(sP0_iProver_split(X0),X1),X1),X0),X1) = rd(rd(sP0_iProver_split(X0),X1),X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_133208,c_49]) ). 356.41/48.11 356.41/48.11 cnf(c_161411,plain, 356.41/48.11 ( ld(mult(ld(ld(ld(sP0_iProver_split(X0),sP0_iProver_split(X0)),ld(X1,X1)),mult(ld(X1,X1),sP0_iProver_split(X0))),X0),mult(ld(X1,X1),sP0_iProver_split(X0))) = rd(ld(ld(sP0_iProver_split(X0),sP0_iProver_split(X0)),ld(X1,X1)),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_132810,c_133219]) ). 356.41/48.11 356.41/48.11 cnf(c_161706,plain, 356.41/48.11 ( rd(sP1_iProver_split,X0) = sP0_iProver_split(X0) ), 356.41/48.11 inference(demodulation, 356.41/48.11 [status(thm)], 356.41/48.11 [c_161411,c_1733,c_1744,c_2172,c_4699,c_160747]) ). 356.41/48.11 356.41/48.11 cnf(c_162205,plain, 356.41/48.11 ( mult(rd(sP0_iProver_split(X0),X1),X0) = mult(sP0_iProver_split(X0),ld(X1,X0)) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_133283,c_160747,c_161706]) ). 356.41/48.11 356.41/48.11 cnf(c_162263,plain, 356.41/48.11 ( mult(ld(ld(sP0_iProver_split(X0),sP0_iProver_split(X0)),ld(X1,X1)),X0) = mult(sP0_iProver_split(X0),ld(mult(ld(X1,X1),sP0_iProver_split(X0)),X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_132810,c_162205]) ). 356.41/48.11 356.41/48.11 cnf(c_2653,plain, 356.41/48.11 ( mult(sP0_iProver_split(X0),mult(X0,mult(X1,X0))) = mult(mult(ld(X0,X0),X1),X0) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1733,c_50]) ). 356.41/48.11 356.41/48.11 cnf(c_6167,plain, 356.41/48.11 ( mult(mult(ld(X0,X0),ld(X0,X0)),X0) = mult(sP0_iProver_split(X0),mult(X0,X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1932,c_2653]) ). 356.41/48.11 356.41/48.11 cnf(c_6290,plain, 356.41/48.11 ( mult(sP0_iProver_split(X0),mult(X0,X0)) = X0 ), 356.41/48.11 inference(demodulation,[status(thm)],[c_6167,c_52,c_2680,c_3161,c_4729]) ). 356.41/48.11 356.41/48.11 cnf(c_2656,plain, 356.41/48.11 ( mult(X0,mult(ld(ld(X0,X0),X1),X0)) = ld(sP0_iProver_split(X0),mult(X1,X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_1733,c_185]) ). 356.41/48.11 356.41/48.11 cnf(c_6421,plain, 356.41/48.11 ( mult(X0,mult(mult(ld(X0,X0),ld(X0,X0)),X0)) = ld(sP0_iProver_split(X0),mult(ld(X0,X0),X0)) ), 356.41/48.11 inference(superposition,[status(thm)],[c_875,c_2656]) ). 356.41/48.11 356.41/48.11 cnf(c_6535,plain, 356.41/48.11 ( ld(sP0_iProver_split(X0),X0) = mult(X0,X0) ), 356.41/48.11 inference(demodulation,[status(thm)],[c_6421,c_52,c_2680,c_3161,c_4729]) ). 356.41/48.11 356.41/48.11 cnf(c_162723,plain, 356.41/48.11 ( mult(sP1_iProver_split,X0) = X0 ), 356.41/48.11 inference(demodulation, 356.41/48.11 [status(thm)], 356.41/48.11 [c_162263,c_1744,c_4699,c_6290,c_6535,c_160747,c_161706]) ). 356.41/48.11 356.41/48.11 cnf(c_176151,plain, 356.41/48.11 ( sK0 != sK0 ), 356.41/48.11 inference(demodulation, 356.41/48.11 [status(thm)], 356.41/48.11 [c_13907,c_160672,c_160747,c_162723]) ). 356.41/48.11 356.41/48.11 cnf(c_176152,plain, 356.41/48.11 ( $false ), 356.41/48.11 inference(equality_resolution_simp,[status(thm)],[c_176151]) ). 356.41/48.11 356.41/48.11 356.41/48.11 % SZS output end CNFRefutation for theBenchmark.p 356.41/48.11 356.41/48.11 ------ Statistics 356.41/48.11 356.41/48.11 ------ Selected 356.41/48.11 356.41/48.11 total_time: 8.899 356.41/48.11 356.41/48.14 EOF