0.00/0.08 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % 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 0.09/0.29 % Computer : n016.cluster.edu 0.09/0.29 % Model : x86_64 x86_64 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.29 % Memory : 8042.1875MB 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.29 % CPULimit : 960 0.09/0.29 % WCLimit : 120 0.09/0.29 % DateTime : Tue Aug 9 05:19:57 EDT 2022 0.09/0.29 % CPUTime : 8.56/2.18 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p 8.56/2.18 8.56/2.18 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 8.56/2.18 8.56/2.18 ------ iProver source info 8.56/2.18 8.56/2.18 git: date: 2022-07-26 19:47:37 +0300 8.56/2.18 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 8.56/2.18 git: non_committed_changes: false 8.56/2.18 git: last_make_outside_of_git: false 8.56/2.18 8.56/2.18 ------ Parsing... 8.56/2.18 ------ Clausification by vclausify_rel & Parsing by iProver... 8.56/2.18 8.56/2.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e 8.56/2.18 8.56/2.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 8.56/2.18 8.56/2.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 8.56/2.18 ------ Proving... 8.56/2.18 ------ Problem Properties 8.56/2.18 8.56/2.18 8.56/2.18 clauses 15 8.56/2.18 conjectures 1 8.56/2.18 EPR 4 8.56/2.18 Horn 15 8.56/2.18 unary 8 8.56/2.18 binary 5 8.56/2.18 lits 24 8.56/2.18 lits eq 7 8.56/2.18 fd_pure 0 8.56/2.18 fd_pseudo 0 8.56/2.18 fd_cond 0 8.56/2.18 fd_pseudo_cond 1 8.56/2.18 AC symbols 1 8.56/2.18 8.56/2.18 ------ Schedule dynamic 5 is on 8.56/2.18 8.56/2.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10. 8.56/2.18 8.56/2.18 8.56/2.18 ------ 8.56/2.18 Current options: 8.56/2.18 ------ 8.56/2.18 8.56/2.18 8.56/2.18 8.56/2.18 8.56/2.18 ------ Proving... 8.56/2.18 8.56/2.18 8.56/2.18 % SZS status Theorem for theBenchmark.p 8.56/2.18 8.56/2.18 % SZS output start CNFRefutation for theBenchmark.p 8.56/2.18 8.56/2.18 fof(f10,conjecture,( 8.56/2.18 ! [X15] : '+'(X15,X15) = X15), 8.56/2.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14)). 8.56/2.18 8.56/2.18 fof(f11,negated_conjecture,( 8.56/2.18 ~! [X15] : '+'(X15,X15) = X15), 8.56/2.18 inference(negated_conjecture,[],[f10])). 8.56/2.18 8.56/2.18 fof(f20,plain,( 8.56/2.18 ~! [X0] : '+'(X0,X0) = X0), 8.56/2.18 inference(rectify,[],[f11])). 8.56/2.18 8.56/2.18 fof(f27,plain,( 8.56/2.18 ? [X0] : '+'(X0,X0) != X0), 8.56/2.18 inference(ennf_transformation,[],[f20])). 8.56/2.18 8.56/2.18 fof(f32,plain,( 8.56/2.18 ? [X0] : '+'(X0,X0) != X0 => sK0 != '+'(sK0,sK0)), 8.56/2.18 introduced(choice_axiom,[])). 8.56/2.18 8.56/2.18 fof(f33,plain,( 8.56/2.18 sK0 != '+'(sK0,sK0)), 8.56/2.18 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f27,f32])). 8.56/2.18 8.56/2.18 fof(f44,plain,( 8.56/2.18 sK0 != '+'(sK0,sK0)), 8.56/2.18 inference(cnf_transformation,[],[f33])). 8.56/2.18 8.56/2.18 fof(f13,axiom,( 8.56/2.18 ! [X0] : '+'(X0,'0') = X0), 8.56/2.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03)). 8.56/2.18 8.56/2.18 fof(f46,plain,( 8.56/2.18 ( ! [X0] : ('+'(X0,'0') = X0) )), 8.56/2.18 inference(cnf_transformation,[],[f13])). 8.56/2.18 8.56/2.18 fof(f7,axiom,( 8.56/2.18 ! [X0] : '0' = '==>'('==>'('==>'(X0,'1'),X0),X0)), 8.56/2.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13)). 8.56/2.18 8.56/2.18 fof(f40,plain,( 8.56/2.18 ( ! [X0] : ('0' = '==>'('==>'('==>'(X0,'1'),X0),X0)) )), 8.56/2.18 inference(cnf_transformation,[],[f7])). 8.56/2.18 8.56/2.18 fof(f9,axiom,( 8.56/2.18 ! [X12,X13,X14] : ('>='(X13,'==>'(X12,X14)) <=> '>='('+'(X12,X13),X14))), 8.56/2.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07)). 8.56/2.18 8.56/2.18 fof(f19,plain,( 8.56/2.18 ! [X0,X1,X2] : ('>='(X1,'==>'(X0,X2)) <=> '>='('+'(X0,X1),X2))), 8.56/2.18 inference(rectify,[],[f9])). 8.56/2.18 8.56/2.18 fof(f31,plain,( 8.56/2.18 ! [X0,X1,X2] : (('>='(X1,'==>'(X0,X2)) | ~'>='('+'(X0,X1),X2)) & ('>='('+'(X0,X1),X2) | ~'>='(X1,'==>'(X0,X2))))), 8.56/2.18 inference(nnf_transformation,[],[f19])). 8.56/2.18 8.56/2.18 fof(f42,plain,( 8.56/2.18 ( ! [X2,X0,X1] : ('>='('+'(X0,X1),X2) | ~'>='(X1,'==>'(X0,X2))) )), 8.56/2.18 inference(cnf_transformation,[],[f31])). 8.56/2.18 8.56/2.18 fof(f15,axiom,( 8.56/2.18 ! [X0] : '>='(X0,'0')), 8.56/2.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08)). 8.56/2.18 8.56/2.18 fof(f48,plain,( 8.56/2.18 ( ! [X0] : ('>='(X0,'0')) )), 8.56/2.18 inference(cnf_transformation,[],[f15])). 8.56/2.18 8.56/2.18 fof(f14,axiom,( 8.56/2.18 ! [X19,X20] : (('>='(X20,X19) & '>='(X19,X20)) => X19 = X20)), 8.56/2.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06)). 8.56/2.18 8.56/2.18 fof(f22,plain,( 8.56/2.18 ! [X0,X1] : (('>='(X1,X0) & '>='(X0,X1)) => X0 = X1)), 8.56/2.18 inference(rectify,[],[f14])). 8.56/2.18 8.56/2.18 fof(f29,plain,( 8.56/2.18 ! [X0,X1] : (X0 = X1 | (~'>='(X1,X0) | ~'>='(X0,X1)))), 8.56/2.18 inference(ennf_transformation,[],[f22])). 8.56/2.18 8.56/2.18 fof(f30,plain,( 8.56/2.18 ! [X0,X1] : (X0 = X1 | ~'>='(X1,X0) | ~'>='(X0,X1))), 8.56/2.18 inference(flattening,[],[f29])). 8.56/2.18 8.56/2.18 fof(f47,plain,( 8.56/2.18 ( ! [X0,X1] : (X0 = X1 | ~'>='(X1,X0) | ~'>='(X0,X1)) )), 8.56/2.18 inference(cnf_transformation,[],[f30])). 8.56/2.18 8.56/2.18 fof(f6,axiom,( 8.56/2.18 ! [X0,X1] : '+'(X0,X1) = '+'(X1,X0)), 8.56/2.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02)). 8.56/2.18 8.56/2.18 fof(f39,plain,( 8.56/2.18 ( ! [X0,X1] : ('+'(X0,X1) = '+'(X1,X0)) )), 8.56/2.18 inference(cnf_transformation,[],[f6])). 8.56/2.18 8.56/2.18 fof(f5,axiom,( 8.56/2.18 ! [X6,X7,X8] : ('>='(X6,X7) => '>='('+'(X6,X8),'+'(X7,X8)))), 8.56/2.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09)). 8.56/2.18 8.56/2.18 fof(f17,plain,( 8.56/2.18 ! [X0,X1,X2] : ('>='(X0,X1) => '>='('+'(X0,X2),'+'(X1,X2)))), 8.56/2.18 inference(rectify,[],[f5])). 8.56/2.18 8.56/2.18 fof(f25,plain,( 8.56/2.18 ! [X0,X1,X2] : ('>='('+'(X0,X2),'+'(X1,X2)) | ~'>='(X0,X1))), 8.56/2.18 inference(ennf_transformation,[],[f17])). 8.56/2.18 8.56/2.18 fof(f38,plain,( 8.56/2.18 ( ! [X2,X0,X1] : ('>='('+'(X0,X2),'+'(X1,X2)) | ~'>='(X0,X1)) )), 8.56/2.18 inference(cnf_transformation,[],[f25])). 8.56/2.18 8.56/2.18 fof(f43,plain,( 8.56/2.18 ( ! [X2,X0,X1] : ('>='(X1,'==>'(X0,X2)) | ~'>='('+'(X0,X1),X2)) )), 8.56/2.18 inference(cnf_transformation,[],[f31])). 8.56/2.18 8.56/2.18 fof(f2,axiom,( 8.56/2.18 ! [X0] : '>='(X0,X0)), 8.56/2.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04)). 8.56/2.18 8.56/2.18 fof(f35,plain,( 8.56/2.18 ( ! [X0] : ('>='(X0,X0)) )), 8.56/2.18 inference(cnf_transformation,[],[f2])). 8.56/2.18 8.56/2.18 fof(f4,axiom,( 8.56/2.18 ! [X0] : '1' = '+'(X0,'1')), 8.56/2.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12)). 8.56/2.18 8.56/2.18 fof(f37,plain,( 8.56/2.18 ( ! [X0] : ('1' = '+'(X0,'1')) )), 8.56/2.18 inference(cnf_transformation,[],[f4])). 8.56/2.18 8.56/2.18 fof(f12,axiom,( 8.56/2.18 ! [X16,X17,X18] : ('>='(X16,X17) => '>='('==>'(X18,X16),'==>'(X18,X17)))), 8.56/2.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11)). 8.56/2.18 8.56/2.18 fof(f21,plain,( 8.56/2.18 ! [X0,X1,X2] : ('>='(X0,X1) => '>='('==>'(X2,X0),'==>'(X2,X1)))), 8.56/2.18 inference(rectify,[],[f12])). 8.56/2.18 8.56/2.18 fof(f28,plain,( 8.56/2.18 ! [X0,X1,X2] : ('>='('==>'(X2,X0),'==>'(X2,X1)) | ~'>='(X0,X1))), 8.56/2.18 inference(ennf_transformation,[],[f21])). 8.56/2.18 8.56/2.18 fof(f45,plain,( 8.56/2.18 ( ! [X2,X0,X1] : ('>='('==>'(X2,X0),'==>'(X2,X1)) | ~'>='(X0,X1)) )), 8.56/2.18 inference(cnf_transformation,[],[f28])). 8.56/2.18 8.56/2.18 fof(f8,axiom,( 8.56/2.18 ! [X9,X10,X11] : ('>='(X9,X10) => '>='('==>'(X10,X11),'==>'(X9,X11)))), 8.56/2.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10)). 8.56/2.18 8.56/2.18 fof(f18,plain,( 8.56/2.18 ! [X0,X1,X2] : ('>='(X0,X1) => '>='('==>'(X1,X2),'==>'(X0,X2)))), 8.56/2.18 inference(rectify,[],[f8])). 8.56/2.18 8.56/2.18 fof(f26,plain,( 8.56/2.18 ! [X0,X1,X2] : ('>='('==>'(X1,X2),'==>'(X0,X2)) | ~'>='(X0,X1))), 8.56/2.18 inference(ennf_transformation,[],[f18])). 8.56/2.18 8.56/2.18 fof(f41,plain,( 8.56/2.18 ( ! [X2,X0,X1] : ('>='('==>'(X1,X2),'==>'(X0,X2)) | ~'>='(X0,X1)) )), 8.56/2.18 inference(cnf_transformation,[],[f26])). 8.56/2.18 8.56/2.18 fof(f1,axiom,( 8.56/2.18 ! [X0,X1,X2] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2))), 8.56/2.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01)). 8.56/2.18 8.56/2.18 fof(f34,plain,( 8.56/2.18 ( ! [X2,X0,X1] : ('+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2))) )), 8.56/2.18 inference(cnf_transformation,[],[f1])). 8.56/2.18 8.56/2.18 cnf(c_59,negated_conjecture, 8.56/2.18 ( '+'(sK0,sK0) != sK0 ), 8.56/2.18 inference(cnf_transformation,[],[f44]) ). 8.56/2.18 8.56/2.18 cnf(c_61,plain,( '+'(X0,'0') = X0 ),inference(cnf_transformation,[],[f46]) ). 8.56/2.18 8.56/2.18 cnf(c_55,plain, 8.56/2.18 ( '==>'('==>'('==>'(X0,'1'),X0),X0) = '0' ), 8.56/2.18 inference(cnf_transformation,[],[f40]) ). 8.56/2.18 8.56/2.18 cnf(c_58,plain, 8.56/2.18 ( ~ '>='(X0,'==>'(X1,X2)) | '>='('+'(X1,X0),X2) ), 8.56/2.18 inference(cnf_transformation,[],[f42]) ). 8.56/2.18 8.56/2.18 cnf(c_626,plain, 8.56/2.18 ( ~ '>='(X0,'0') | '>='('+'('==>'('==>'(X1,'1'),X1),X0),X1) ), 8.56/2.18 inference(superposition,[status(thm)],[c_55,c_58]) ). 8.56/2.18 8.56/2.18 cnf(c_63,plain,( '>='(X0,'0') ),inference(cnf_transformation,[],[f48]) ). 8.56/2.18 8.56/2.18 cnf(c_627,plain, 8.56/2.18 ( '>='('+'('==>'('==>'(X0,'1'),X0),X1),X0) ), 8.56/2.18 inference(forward_subsumption_resolution,[status(thm)],[c_626,c_63]) ). 8.56/2.18 8.56/2.18 cnf(c_2044,plain, 8.56/2.18 ( '>='('==>'('==>'(X0,'1'),X0),X0) ), 8.56/2.18 inference(superposition,[status(thm)],[c_61,c_627]) ). 8.56/2.18 8.56/2.18 cnf(c_62,plain, 8.56/2.18 ( ~ '>='(X0,X1) | ~ '>='(X1,X0) | X0 = X1 ), 8.56/2.18 inference(cnf_transformation,[],[f47]) ). 8.56/2.18 8.56/2.18 cnf(c_2100,plain, 8.56/2.18 ( ~ '>='(X0,'==>'('==>'(X0,'1'),X0)) | '==>'('==>'(X0,'1'),X0) = X0 ), 8.56/2.18 inference(superposition,[status(thm)],[c_2044,c_62]) ). 8.56/2.18 8.56/2.18 cnf(c_54,plain, 8.56/2.18 ( '+'(X0,X1) = '+'(X1,X0) ), 8.56/2.18 inference(cnf_transformation,[],[f39]) ). 8.56/2.18 8.56/2.18 cnf(c_332,plain, 8.56/2.18 ( '+'('0',X0) = X0 ), 8.56/2.18 inference(superposition,[status(thm)],[c_54,c_61]) ). 8.56/2.18 8.56/2.18 cnf(c_53,plain, 8.56/2.18 ( ~ '>='(X0,X1) | '>='('+'(X0,X2),'+'(X1,X2)) ), 8.56/2.18 inference(cnf_transformation,[],[f38]) ). 8.56/2.18 8.56/2.18 cnf(c_390,plain, 8.56/2.18 ( ~ '>='(X0,'0') | '>='('+'(X0,X1),X1) ), 8.56/2.18 inference(superposition,[status(thm)],[c_332,c_53]) ). 8.56/2.18 8.56/2.18 cnf(c_398,plain, 8.56/2.18 ( '>='('+'(X0,X1),X1) ), 8.56/2.18 inference(forward_subsumption_resolution,[status(thm)],[c_390,c_63]) ). 8.56/2.18 8.56/2.18 cnf(c_57,plain, 8.56/2.18 ( ~ '>='('+'(X0,X1),X2) | '>='(X1,'==>'(X0,X2)) ), 8.56/2.18 inference(cnf_transformation,[],[f43]) ). 8.56/2.18 8.56/2.18 cnf(c_566,plain, 8.56/2.18 ( '>='(X0,'==>'(X1,X0)) ), 8.56/2.18 inference(superposition,[status(thm)],[c_398,c_57]) ). 8.56/2.18 8.56/2.18 cnf(c_2106,plain, 8.56/2.18 ( '==>'('==>'(X0,'1'),X0) = X0 ), 8.56/2.18 inference(forward_subsumption_resolution,[status(thm)],[c_2100,c_566]) ). 8.56/2.18 8.56/2.18 cnf(c_50,plain,( '>='(X0,X0) ),inference(cnf_transformation,[],[f35]) ). 8.56/2.18 8.56/2.18 cnf(c_619,plain, 8.56/2.18 ( '>='('+'(X0,'==>'(X0,X1)),X1) ), 8.56/2.18 inference(superposition,[status(thm)],[c_50,c_58]) ). 8.56/2.18 8.56/2.18 cnf(c_52,plain, 8.56/2.18 ( '+'(X0,'1') = '1' ), 8.56/2.18 inference(cnf_transformation,[],[f37]) ). 8.56/2.18 8.56/2.18 cnf(c_331,plain, 8.56/2.18 ( '+'('1',X0) = '1' ), 8.56/2.18 inference(superposition,[status(thm)],[c_54,c_52]) ). 8.56/2.18 8.56/2.18 cnf(c_443,plain, 8.56/2.18 ( '>='('1',X0) ), 8.56/2.18 inference(superposition,[status(thm)],[c_331,c_398]) ). 8.56/2.18 8.56/2.18 cnf(c_1027,plain, 8.56/2.18 ( ~ '>='(X0,'1') | X0 = '1' ), 8.56/2.18 inference(superposition,[status(thm)],[c_443,c_62]) ). 8.56/2.18 8.56/2.18 cnf(c_1406,plain, 8.56/2.18 ( '+'(X0,'==>'(X0,'1')) = '1' ), 8.56/2.18 inference(superposition,[status(thm)],[c_619,c_1027]) ). 8.56/2.18 8.56/2.18 cnf(c_1563,plain, 8.56/2.18 ( ~ '>='('1',X0) | '>='('==>'(X1,'1'),'==>'(X1,X0)) ), 8.56/2.18 inference(superposition,[status(thm)],[c_1406,c_57]) ). 8.56/2.18 8.56/2.18 cnf(c_1588,plain, 8.56/2.18 ( '>='('==>'(X0,'1'),'==>'(X0,X1)) ), 8.56/2.18 inference(forward_subsumption_resolution,[status(thm)],[c_1563,c_443]) ). 8.56/2.18 8.56/2.18 cnf(c_2149,plain, 8.56/2.18 ( '>='('==>'('==>'(X0,'1'),'1'),X0) ), 8.56/2.18 inference(superposition,[status(thm)],[c_2106,c_1588]) ). 8.56/2.18 8.56/2.18 cnf(c_2210,plain, 8.56/2.18 ( ~ '>='(X0,'==>'('==>'(X0,'1'),'1')) | '==>'('==>'(X0,'1'),'1') = X0 ), 8.56/2.18 inference(superposition,[status(thm)],[c_2149,c_62]) ). 8.56/2.18 8.56/2.18 cnf(c_562,plain, 8.56/2.18 ( '>='(X0,'==>'(X1,'+'(X1,X0))) ), 8.56/2.18 inference(superposition,[status(thm)],[c_50,c_57]) ). 8.56/2.18 8.56/2.18 cnf(c_828,plain, 8.56/2.18 ( '>='(X0,'==>'(X1,'+'(X0,X1))) ), 8.56/2.18 inference(superposition,[status(thm)],[c_54,c_562]) ). 8.56/2.18 8.56/2.18 cnf(c_1559,plain, 8.56/2.18 ( '>='(X0,'==>'('==>'(X0,'1'),'1')) ), 8.56/2.18 inference(superposition,[status(thm)],[c_1406,c_828]) ). 8.56/2.18 8.56/2.18 cnf(c_2216,plain, 8.56/2.18 ( '==>'('==>'(X0,'1'),'1') = X0 ), 8.56/2.18 inference(forward_subsumption_resolution,[status(thm)],[c_2210,c_1559]) ). 8.56/2.18 8.56/2.18 cnf(c_60,plain, 8.56/2.18 ( ~ '>='(X0,X1) | '>='('==>'(X2,X0),'==>'(X2,X1)) ), 8.56/2.18 inference(cnf_transformation,[],[f45]) ). 8.56/2.18 8.56/2.18 cnf(c_2236,plain, 8.56/2.18 ( ~ '>='('1',X0) | '>='(X1,'==>'('==>'(X1,'1'),X0)) ), 8.56/2.18 inference(superposition,[status(thm)],[c_2216,c_60]) ). 8.56/2.18 8.56/2.18 cnf(c_2254,plain, 8.56/2.18 ( '>='(X0,'==>'('==>'(X0,'1'),X1)) ), 8.56/2.18 inference(forward_subsumption_resolution,[status(thm)],[c_2236,c_443]) ). 8.56/2.18 8.56/2.18 cnf(c_56,plain, 8.56/2.18 ( ~ '>='(X0,X1) | '>='('==>'(X1,X2),'==>'(X0,X2)) ), 8.56/2.18 inference(cnf_transformation,[],[f41]) ). 8.56/2.18 8.56/2.18 cnf(c_2139,plain, 8.56/2.18 ( ~ '>='('==>'(X0,'1'),X1) | '>='('==>'(X1,X0),X0) ), 8.56/2.18 inference(superposition,[status(thm)],[c_2106,c_56]) ). 8.56/2.18 8.56/2.18 cnf(c_21269,plain, 8.56/2.18 ( '>='('==>'('==>'('==>'('==>'(X0,'1'),'1'),X1),X0),X0) ), 8.56/2.18 inference(superposition,[status(thm)],[c_2254,c_2139]) ). 8.56/2.18 8.56/2.18 cnf(c_21320,plain, 8.56/2.18 ( '>='('==>'('==>'(X0,X1),X0),X0) ), 8.56/2.18 inference(light_normalisation,[status(thm)],[c_21269,c_2216]) ). 8.56/2.18 8.56/2.18 cnf(c_21512,plain, 8.56/2.18 ( ~ '>='(X0,'==>'('==>'(X0,X1),X0)) | '==>'('==>'(X0,X1),X0) = X0 ), 8.56/2.18 inference(superposition,[status(thm)],[c_21320,c_62]) ). 8.56/2.18 8.56/2.18 cnf(c_21538,plain, 8.56/2.18 ( '==>'('==>'(X0,X1),X0) = X0 ), 8.56/2.18 inference(forward_subsumption_resolution,[status(thm)],[c_21512,c_566]) ). 8.56/2.18 8.56/2.18 cnf(c_21716,plain, 8.56/2.18 ( '==>'(X0,'==>'(X0,X1)) = '==>'(X0,X1) ), 8.56/2.18 inference(superposition,[status(thm)],[c_21538,c_21538]) ). 8.56/2.18 8.56/2.18 cnf(c_49,plain, 8.56/2.18 ( '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)) ), 8.56/2.18 inference(cnf_transformation,[],[f34]) ). 8.56/2.18 8.56/2.18 cnf(c_441,plain, 8.56/2.18 ( '>='('+'(X0,X1),X0) ), 8.56/2.18 inference(superposition,[status(thm)],[c_54,c_398]) ). 8.56/2.18 8.56/2.18 cnf(c_696,plain, 8.56/2.18 ( '>='('+'(X0,'+'(X1,X2)),'+'(X0,X1)) ), 8.56/2.18 inference(superposition,[status(thm)],[c_49,c_441]) ). 8.56/2.18 8.56/2.18 cnf(c_2338,plain, 8.56/2.18 ( '>='('+'(X0,'+'(X1,X2)),'+'(X1,X0)) ), 8.56/2.18 inference(superposition,[status(thm)],[c_54,c_696]) ). 8.56/2.18 8.56/2.18 cnf(c_3457,plain, 8.56/2.18 ( '>='('+'(X0,X1),'==>'(X2,'+'(X0,X2))) ), 8.56/2.18 inference(superposition,[status(thm)],[c_2338,c_57]) ). 8.56/2.18 8.56/2.18 cnf(c_4464,plain, 8.56/2.18 ( '>='(X0,'==>'(X1,'==>'(X2,'+'(X1,X2)))) ), 8.56/2.18 inference(superposition,[status(thm)],[c_3457,c_57]) ). 8.56/2.18 8.56/2.18 cnf(c_1026,plain, 8.56/2.18 ( ~ '>='('0',X0) | X0 = '0' ), 8.56/2.18 inference(superposition,[status(thm)],[c_63,c_62]) ). 8.56/2.18 8.56/2.18 cnf(c_5234,plain, 8.56/2.18 ( '==>'(X0,'==>'(X1,'+'(X0,X1))) = '0' ), 8.56/2.18 inference(superposition,[status(thm)],[c_4464,c_1026]) ). 8.56/2.18 8.56/2.18 cnf(c_33847,plain, 8.56/2.18 ( '==>'(X0,'+'(X0,X0)) = '0' ), 8.56/2.18 inference(superposition,[status(thm)],[c_21716,c_5234]) ). 8.56/2.18 8.56/2.18 cnf(c_34716,plain, 8.56/2.18 ( '>='('+'(X0,'0'),'+'(X0,X0)) ), 8.56/2.18 inference(superposition,[status(thm)],[c_33847,c_619]) ). 8.56/2.18 8.56/2.18 cnf(c_34802,plain, 8.56/2.18 ( '>='(X0,'+'(X0,X0)) ), 8.56/2.18 inference(light_normalisation,[status(thm)],[c_34716,c_61]) ). 8.56/2.18 8.56/2.18 cnf(c_35081,plain, 8.56/2.18 ( ~ '>='('+'(X0,X0),X0) | '+'(X0,X0) = X0 ), 8.56/2.18 inference(superposition,[status(thm)],[c_34802,c_62]) ). 8.56/2.18 8.56/2.18 cnf(c_35112,plain, 8.56/2.18 ( '+'(X0,X0) = X0 ), 8.56/2.18 inference(forward_subsumption_resolution,[status(thm)],[c_35081,c_441]) ). 8.56/2.18 8.56/2.18 cnf(c_35115,plain, 8.56/2.18 ( $false ), 8.56/2.18 inference(backward_subsumption_resolution,[status(thm)],[c_59,c_35112]) ). 8.56/2.18 8.56/2.18 8.56/2.18 % SZS output end CNFRefutation for theBenchmark.p 8.56/2.18 8.56/2.18 ------ Statistics 8.56/2.18 8.56/2.18 ------ Selected 8.56/2.18 8.56/2.18 total_time: 0.879 8.56/2.18 8.56/2.20 EOF