0.14/0.15 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.14/0.16 % Command : iproveropt_run.sh %d %s 0.15/0.38 % Computer : n024.cluster.edu 0.15/0.38 % Model : x86_64 x86_64 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.38 % Memory : 8042.1875MB 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.38 % CPULimit : 960 0.15/0.38 % WCLimit : 120 0.15/0.38 % DateTime : Thu Jul 2 07:15:26 EDT 2020 0.15/0.38 % CPUTime : 0.15/0.38 % Running in FOF mode 23.31/3.54 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p 23.31/3.54 23.31/3.54 %---------------- iProver v3.3 (CASC-J10 2020) ----------------% 23.31/3.54 23.31/3.54 ------ iProver source info 23.31/3.54 23.31/3.54 git: date: 2020-06-30 10:37:57 +0100 23.31/3.54 git: sha1: e3013b43002810b07ddde22341e87fe21d0d6388 23.31/3.54 git: non_committed_changes: false 23.31/3.54 git: last_make_outside_of_git: false 23.31/3.54 23.31/3.54 ------ 23.31/3.54 ------ Parsing... 23.31/3.54 ------ Clausification by vclausify_rel & Parsing by iProver... 23.31/3.54 23.31/3.54 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e 23.31/3.54 23.31/3.54 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 23.31/3.54 23.31/3.54 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 23.31/3.54 ------ Proving... 23.31/3.54 ------ Problem Properties 23.31/3.54 23.31/3.54 23.31/3.54 clauses 37 23.31/3.54 conjectures 6 23.31/3.54 EPR 4 23.31/3.54 Horn 27 23.31/3.54 unary 21 23.31/3.54 binary 15 23.31/3.54 lits 54 23.31/3.54 lits eq 18 23.31/3.54 fd_pure 0 23.31/3.54 fd_pseudo 0 23.31/3.54 fd_cond 1 23.31/3.54 fd_pseudo_cond 4 23.31/3.54 AC symbols 0 23.31/3.54 23.31/3.54 ------ Input Options Time Limit: Unbounded 23.31/3.54 23.31/3.54 23.31/3.54 ------ 23.31/3.54 Current options: 23.31/3.54 ------ 23.31/3.54 23.31/3.54 23.31/3.54 23.31/3.54 23.31/3.54 ------ Proving... 23.31/3.54 23.31/3.54 23.31/3.54 % SZS status Theorem for theBenchmark.p 23.31/3.54 23.31/3.54 % SZS output start CNFRefutation for theBenchmark.p 23.31/3.54 23.31/3.54 fof(f12,conjecture,( 23.31/3.54 ? [X6] : (! [X32] : (X6 != X32 | ~r1(X32)) & ! [X13] : (X6 != X13 | ! [X15] : (~r1(X15) | ~r2(X15,X13))))), 23.31/3.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 23.31/3.54 23.31/3.54 fof(f13,negated_conjecture,( 23.31/3.54 ~? [X6] : (! [X32] : (X6 != X32 | ~r1(X32)) & ! [X13] : (X6 != X13 | ! [X15] : (~r1(X15) | ~r2(X15,X13))))), 23.31/3.54 inference(negated_conjecture,[],[f12])). 23.31/3.54 23.31/3.54 fof(f24,plain,( 23.31/3.54 ~? [X0] : (! [X1] : (X0 != X1 | ~r1(X1)) & ! [X2] : (X0 != X2 | ! [X3] : (~r1(X3) | ~r2(X3,X2))))), 23.31/3.54 inference(rectify,[],[f13])). 23.31/3.54 23.31/3.54 fof(f25,plain,( 23.31/3.54 ! [X0] : (? [X1] : (X0 = X1 & r1(X1)) | ? [X2] : (X0 = X2 & ? [X3] : (r1(X3) & r2(X3,X2))))), 23.31/3.54 inference(ennf_transformation,[],[f24])). 23.31/3.54 23.31/3.54 fof(f56,plain,( 23.31/3.54 ( ! [X2] : (! [X0] : (? [X3] : (r1(X3) & r2(X3,X2)) => (r1(sK22(X0)) & r2(sK22(X0),X2)))) )), 23.31/3.54 introduced(choice_axiom,[])). 23.31/3.54 23.31/3.54 fof(f55,plain,( 23.31/3.54 ! [X0] : (? [X2] : (X0 = X2 & ? [X3] : (r1(X3) & r2(X3,X2))) => (sK21(X0) = X0 & ? [X3] : (r1(X3) & r2(X3,sK21(X0)))))), 23.31/3.54 introduced(choice_axiom,[])). 23.31/3.54 23.31/3.54 fof(f54,plain,( 23.31/3.54 ! [X0] : (? [X1] : (X0 = X1 & r1(X1)) => (sK20(X0) = X0 & r1(sK20(X0))))), 23.31/3.54 introduced(choice_axiom,[])). 23.31/3.54 23.31/3.54 fof(f57,plain,( 23.31/3.54 ! [X0] : ((sK20(X0) = X0 & r1(sK20(X0))) | (sK21(X0) = X0 & (r1(sK22(X0)) & r2(sK22(X0),sK21(X0)))))), 23.31/3.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22])],[f25,f56,f55,f54])). 23.31/3.54 23.31/3.54 fof(f98,plain,( 23.31/3.54 ( ! [X0] : (r1(sK20(X0)) | r1(sK22(X0))) )), 23.31/3.54 inference(cnf_transformation,[],[f57])). 23.31/3.54 23.31/3.54 fof(f5,axiom,( 23.31/3.54 ? [X17] : ! [X18] : ((~r1(X18) & X17 != X18) | (X17 = X18 & r1(X18)))), 23.31/3.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 23.31/3.54 23.31/3.54 fof(f17,plain,( 23.31/3.54 ? [X0] : ! [X1] : ((~r1(X1) & X0 != X1) | (X0 = X1 & r1(X1)))), 23.31/3.54 inference(rectify,[],[f5])). 23.31/3.54 23.31/3.54 fof(f38,plain,( 23.31/3.54 ? [X0] : ! [X1] : ((~r1(X1) & X0 != X1) | (X0 = X1 & r1(X1))) => ! [X1] : ((~r1(X1) & sK9 != X1) | (sK9 = X1 & r1(X1)))), 23.31/3.54 introduced(choice_axiom,[])). 23.31/3.54 23.31/3.54 fof(f39,plain,( 23.31/3.54 ! [X1] : ((~r1(X1) & sK9 != X1) | (sK9 = X1 & r1(X1)))), 23.31/3.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f17,f38])). 23.31/3.54 23.31/3.54 fof(f78,plain,( 23.31/3.54 ( ! [X1] : (~r1(X1) | sK9 = X1) )), 23.31/3.54 inference(cnf_transformation,[],[f39])). 23.31/3.54 23.31/3.54 fof(f97,plain,( 23.31/3.54 ( ! [X0] : (r1(sK20(X0)) | r2(sK22(X0),sK21(X0))) )), 23.31/3.54 inference(cnf_transformation,[],[f57])). 23.31/3.54 23.31/3.54 fof(f3,axiom,( 23.31/3.54 ! [X8] : ? [X9] : ! [X10] : ((X9 != X10 & ~r2(X8,X10)) | (r2(X8,X10) & X9 = X10))), 23.31/3.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 23.31/3.54 23.31/3.54 fof(f15,plain,( 23.31/3.54 ! [X0] : ? [X1] : ! [X2] : ((X1 != X2 & ~r2(X0,X2)) | (r2(X0,X2) & X1 = X2))), 23.31/3.54 inference(rectify,[],[f3])). 23.31/3.54 23.31/3.54 fof(f31,plain,( 23.31/3.54 ! [X0] : (? [X1] : ! [X2] : ((X1 != X2 & ~r2(X0,X2)) | (r2(X0,X2) & X1 = X2)) => ! [X2] : ((sK4(X0) != X2 & ~r2(X0,X2)) | (r2(X0,X2) & sK4(X0) = X2)))), 23.31/3.54 introduced(choice_axiom,[])). 23.31/3.54 23.31/3.54 fof(f32,plain,( 23.31/3.54 ! [X0] : ! [X2] : ((sK4(X0) != X2 & ~r2(X0,X2)) | (r2(X0,X2) & sK4(X0) = X2))), 23.31/3.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f15,f31])). 23.31/3.54 23.31/3.54 fof(f66,plain,( 23.31/3.54 ( ! [X2,X0] : (~r2(X0,X2) | sK4(X0) = X2) )), 23.31/3.54 inference(cnf_transformation,[],[f32])). 23.31/3.54 23.31/3.54 fof(f102,plain,( 23.31/3.54 ( ! [X0] : (sK20(X0) = X0 | sK21(X0) = X0) )), 23.31/3.54 inference(cnf_transformation,[],[f57])). 23.31/3.54 23.31/3.54 fof(f69,plain,( 23.31/3.54 ( ! [X2,X0] : (sK4(X0) != X2 | r2(X0,X2)) )), 23.31/3.54 inference(cnf_transformation,[],[f32])). 23.31/3.54 23.31/3.54 fof(f105,plain,( 23.31/3.54 ( ! [X0] : (r2(X0,sK4(X0))) )), 23.31/3.54 inference(equality_resolution,[],[f69])). 23.31/3.54 23.31/3.54 fof(f100,plain,( 23.31/3.54 ( ! [X0] : (sK20(X0) = X0 | r2(sK22(X0),sK21(X0))) )), 23.31/3.54 inference(cnf_transformation,[],[f57])). 23.31/3.54 23.31/3.54 fof(f10,axiom,( 23.31/3.54 ! [X36,X37] : (! [X38] : (! [X39] : (X38 != X39 | ~r2(X36,X39)) | ~r2(X37,X38)) | X36 = X37)), 23.31/3.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 23.31/3.54 23.31/3.54 fof(f22,plain,( 23.31/3.54 ! [X0,X1] : (! [X2] : (! [X3] : (X2 != X3 | ~r2(X0,X3)) | ~r2(X1,X2)) | X0 = X1)), 23.31/3.54 inference(rectify,[],[f10])). 23.31/3.54 23.31/3.54 fof(f93,plain,( 23.31/3.54 ( ! [X2,X0,X3,X1] : (X2 != X3 | ~r2(X0,X3) | ~r2(X1,X2) | X0 = X1) )), 23.31/3.54 inference(cnf_transformation,[],[f22])). 23.31/3.54 23.31/3.54 fof(f112,plain,( 23.31/3.54 ( ! [X0,X3,X1] : (~r2(X0,X3) | ~r2(X1,X3) | X0 = X1) )), 23.31/3.54 inference(equality_resolution,[],[f93])). 23.31/3.54 23.31/3.54 fof(f101,plain,( 23.31/3.54 ( ! [X0] : (sK20(X0) = X0 | r1(sK22(X0))) )), 23.31/3.54 inference(cnf_transformation,[],[f57])). 23.31/3.54 23.31/3.54 fof(f8,axiom,( 23.31/3.54 ! [X27,X28] : (! [X29] : (~r1(X29) | X28 != X29) | ~r2(X27,X28))), 23.31/3.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 23.31/3.54 23.31/3.54 fof(f20,plain,( 23.31/3.54 ! [X0,X1] : (! [X2] : (~r1(X2) | X1 != X2) | ~r2(X0,X1))), 23.31/3.54 inference(rectify,[],[f8])). 23.31/3.54 23.31/3.54 fof(f87,plain,( 23.31/3.54 ( ! [X2,X0,X1] : (~r1(X2) | X1 != X2 | ~r2(X0,X1)) )), 23.31/3.54 inference(cnf_transformation,[],[f20])). 23.31/3.54 23.31/3.54 fof(f111,plain,( 23.31/3.54 ( ! [X2,X0] : (~r1(X2) | ~r2(X0,X2)) )), 23.31/3.54 inference(equality_resolution,[],[f87])). 23.31/3.54 23.31/3.54 fof(f99,plain,( 23.31/3.54 ( ! [X0] : (r1(sK20(X0)) | sK21(X0) = X0) )), 23.31/3.54 inference(cnf_transformation,[],[f57])). 23.31/3.54 23.31/3.54 fof(f75,plain,( 23.31/3.54 ( ! [X1] : (sK9 != X1 | r1(X1)) )), 23.31/3.54 inference(cnf_transformation,[],[f39])). 23.31/3.54 23.31/3.54 fof(f108,plain,( 23.31/3.54 r1(sK9)), 23.31/3.54 inference(equality_resolution,[],[f75])). 23.31/3.54 23.31/3.54 fof(f76,plain,( 23.31/3.54 ( ! [X1] : (sK9 != X1 | sK9 = X1) )), 23.31/3.54 inference(cnf_transformation,[],[f39])). 23.31/3.54 23.31/3.54 fof(f107,plain,( 23.31/3.54 sK9 = sK9), 23.31/3.54 inference(equality_resolution,[],[f76])). 23.31/3.54 23.31/3.54 cnf(c_43,negated_conjecture, 23.31/3.54 ( r1(sK22(X0)) | r1(sK20(X0)) ), 23.31/3.54 inference(cnf_transformation,[],[f98]) ). 23.31/3.54 23.31/3.54 cnf(c_964,plain, 23.31/3.54 ( r1(sK22(X0)) = iProver_top | r1(sK20(X0)) = iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_43]) ). 23.31/3.54 23.31/3.54 cnf(c_17,plain, 23.31/3.54 ( ~ r1(X0) | sK9 = X0 ), 23.31/3.54 inference(cnf_transformation,[],[f78]) ). 23.31/3.54 23.31/3.54 cnf(c_982,plain, 23.31/3.54 ( sK9 = X0 | r1(X0) != iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_17]) ). 23.31/3.54 23.31/3.54 cnf(c_3001,plain, 23.31/3.54 ( sK22(X0) = sK9 | r1(sK20(X0)) = iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_964,c_982]) ). 23.31/3.54 23.31/3.54 cnf(c_3161,plain, 23.31/3.54 ( sK22(X0) = sK9 | sK20(X0) = sK9 ), 23.31/3.54 inference(superposition,[status(thm)],[c_3001,c_982]) ). 23.31/3.54 23.31/3.54 cnf(c_44,negated_conjecture, 23.31/3.54 ( r2(sK22(X0),sK21(X0)) | r1(sK20(X0)) ), 23.31/3.54 inference(cnf_transformation,[],[f97]) ). 23.31/3.54 23.31/3.54 cnf(c_963,plain, 23.31/3.54 ( r2(sK22(X0),sK21(X0)) = iProver_top 23.31/3.54 | r1(sK20(X0)) = iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_44]) ). 23.31/3.54 23.31/3.54 cnf(c_11,plain, 23.31/3.54 ( ~ r2(X0,X1) | sK4(X0) = X1 ), 23.31/3.54 inference(cnf_transformation,[],[f66]) ). 23.31/3.54 23.31/3.54 cnf(c_987,plain, 23.31/3.54 ( sK4(X0) = X1 | r2(X0,X1) != iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_11]) ). 23.31/3.54 23.31/3.54 cnf(c_5266,plain, 23.31/3.54 ( sK4(sK22(X0)) = sK21(X0) | r1(sK20(X0)) = iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_963,c_987]) ). 23.31/3.54 23.31/3.54 cnf(c_6087,plain, 23.31/3.54 ( sK20(X0) = sK9 | sK4(sK22(X0)) = sK21(X0) ), 23.31/3.54 inference(superposition,[status(thm)],[c_5266,c_982]) ). 23.31/3.54 23.31/3.54 cnf(c_39,negated_conjecture, 23.31/3.54 ( sK21(X0) = X0 | sK20(X0) = X0 ), 23.31/3.54 inference(cnf_transformation,[],[f102]) ). 23.31/3.54 23.31/3.54 cnf(c_8,plain, 23.31/3.54 ( r2(X0,sK4(X0)) ), 23.31/3.54 inference(cnf_transformation,[],[f105]) ). 23.31/3.54 23.31/3.54 cnf(c_988,plain, 23.31/3.54 ( r2(X0,sK4(X0)) = iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_8]) ). 23.31/3.54 23.31/3.54 cnf(c_41,negated_conjecture, 23.31/3.54 ( r2(sK22(X0),sK21(X0)) | sK20(X0) = X0 ), 23.31/3.54 inference(cnf_transformation,[],[f100]) ). 23.31/3.54 23.31/3.54 cnf(c_966,plain, 23.31/3.54 ( sK20(X0) = X0 | r2(sK22(X0),sK21(X0)) = iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_41]) ). 23.31/3.54 23.31/3.54 cnf(c_1296,plain, 23.31/3.54 ( sK20(X0) = X0 | r2(sK22(X0),X0) = iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_39,c_966]) ). 23.31/3.54 23.31/3.54 cnf(c_35,plain, 23.31/3.54 ( ~ r2(X0,X1) | ~ r2(X2,X1) | X2 = X0 ), 23.31/3.54 inference(cnf_transformation,[],[f112]) ). 23.31/3.54 23.31/3.54 cnf(c_970,plain, 23.31/3.54 ( X0 = X1 | r2(X1,X2) != iProver_top | r2(X0,X2) != iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_35]) ). 23.31/3.54 23.31/3.54 cnf(c_7406,plain, 23.31/3.54 ( sK22(X0) = X1 | sK20(X0) = X0 | r2(X1,X0) != iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_1296,c_970]) ). 23.31/3.54 23.31/3.54 cnf(c_7917,plain, 23.31/3.54 ( sK22(sK4(X0)) = X0 | sK20(sK4(X0)) = sK4(X0) ), 23.31/3.54 inference(superposition,[status(thm)],[c_988,c_7406]) ). 23.31/3.54 23.31/3.54 cnf(c_40,negated_conjecture, 23.31/3.54 ( r1(sK22(X0)) | sK20(X0) = X0 ), 23.31/3.54 inference(cnf_transformation,[],[f101]) ). 23.31/3.54 23.31/3.54 cnf(c_967,plain, 23.31/3.54 ( sK20(X0) = X0 | r1(sK22(X0)) = iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_40]) ). 23.31/3.54 23.31/3.54 cnf(c_13777,plain, 23.31/3.54 ( sK20(sK4(X0)) = sK4(X0) | r1(X0) = iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_7917,c_967]) ). 23.31/3.54 23.31/3.54 cnf(c_3002,plain, 23.31/3.54 ( sK22(X0) = sK9 | sK20(X0) = X0 ), 23.31/3.54 inference(superposition,[status(thm)],[c_967,c_982]) ). 23.31/3.54 23.31/3.54 cnf(c_3033,plain, 23.31/3.54 ( sK20(X0) = X0 | r2(sK9,sK21(X0)) = iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_3002,c_966]) ). 23.31/3.54 23.31/3.54 cnf(c_29,plain, 23.31/3.54 ( ~ r2(X0,X1) | ~ r1(X1) ), 23.31/3.54 inference(cnf_transformation,[],[f111]) ). 23.31/3.54 23.31/3.54 cnf(c_975,plain, 23.31/3.54 ( r2(X0,X1) != iProver_top | r1(X1) != iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_29]) ). 23.31/3.54 23.31/3.54 cnf(c_3698,plain, 23.31/3.54 ( sK20(X0) = X0 | r1(sK21(X0)) != iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_3033,c_975]) ). 23.31/3.54 23.31/3.54 cnf(c_13940,plain, 23.31/3.54 ( sK20(X0) = X0 | sK20(sK4(sK21(X0))) = sK4(sK21(X0)) ), 23.31/3.54 inference(superposition,[status(thm)],[c_13777,c_3698]) ). 23.31/3.54 23.31/3.54 cnf(c_39804,plain, 23.31/3.54 ( sK20(X0) = X0 | sK20(sK4(X0)) = sK4(sK21(X0)) ), 23.31/3.54 inference(superposition,[status(thm)],[c_39,c_13940]) ). 23.31/3.54 23.31/3.54 cnf(c_3696,plain, 23.31/3.54 ( sK20(X0) = X0 | r1(X0) != iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_1296,c_975]) ). 23.31/3.54 23.31/3.54 cnf(c_13937,plain, 23.31/3.54 ( sK20(X0) = X0 | sK20(sK4(X0)) = sK4(X0) ), 23.31/3.54 inference(superposition,[status(thm)],[c_13777,c_3696]) ). 23.31/3.54 23.31/3.54 cnf(c_39994,plain, 23.31/3.54 ( sK20(X0) = X0 | sK4(sK21(X0)) = sK4(X0) ), 23.31/3.54 inference(superposition,[status(thm)],[c_39804,c_13937]) ). 23.31/3.54 23.31/3.54 cnf(c_42,negated_conjecture, 23.31/3.54 ( r1(sK20(X0)) | sK21(X0) = X0 ), 23.31/3.54 inference(cnf_transformation,[],[f99]) ). 23.31/3.54 23.31/3.54 cnf(c_965,plain, 23.31/3.54 ( sK21(X0) = X0 | r1(sK20(X0)) = iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_42]) ). 23.31/3.54 23.31/3.54 cnf(c_39829,plain, 23.31/3.54 ( sK21(sK4(sK21(X0))) = sK4(sK21(X0)) 23.31/3.54 | sK20(X0) = X0 23.31/3.54 | r1(sK4(sK21(X0))) = iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_13940,c_965]) ). 23.31/3.54 23.31/3.54 cnf(c_3689,plain, 23.31/3.54 ( r1(sK4(X0)) != iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_988,c_975]) ). 23.31/3.54 23.31/3.54 cnf(c_44600,plain, 23.31/3.54 ( sK21(sK4(sK21(X0))) = sK4(sK21(X0)) | sK20(X0) = X0 ), 23.31/3.54 inference(forward_subsumption_resolution, 23.31/3.54 [status(thm)], 23.31/3.54 [c_39829,c_3689]) ). 23.31/3.54 23.31/3.54 cnf(c_44609,plain, 23.31/3.54 ( sK21(sK4(X0)) = sK4(sK21(X0)) | sK20(X0) = X0 ), 23.31/3.54 inference(superposition,[status(thm)],[c_39,c_44600]) ). 23.31/3.54 23.31/3.54 cnf(c_45094,plain, 23.31/3.54 ( sK20(X0) = X0 23.31/3.54 | sK20(sK21(X0)) = sK21(X0) 23.31/3.54 | sK4(sK21(sK21(X0))) = sK21(sK4(X0)) ), 23.31/3.54 inference(superposition,[status(thm)],[c_39994,c_44609]) ). 23.31/3.54 23.31/3.54 cnf(c_85,plain, 23.31/3.54 ( ~ r2(sK9,sK9) | ~ r1(sK9) ), 23.31/3.54 inference(instantiation,[status(thm)],[c_29]) ). 23.31/3.54 23.31/3.54 cnf(c_20,plain,( r1(sK9) ),inference(cnf_transformation,[],[f108]) ). 23.31/3.54 23.31/3.54 cnf(c_19,plain,( sK9 = sK9 ),inference(cnf_transformation,[],[f107]) ). 23.31/3.54 23.31/3.54 cnf(c_127,plain, 23.31/3.54 ( r2(sK9,sK4(sK9)) ), 23.31/3.54 inference(instantiation,[status(thm)],[c_8]) ). 23.31/3.54 23.31/3.54 cnf(c_478,plain, 23.31/3.54 ( ~ r2(X0,X1) | r2(X2,X3) | X2 != X0 | X3 != X1 ), 23.31/3.54 theory(equality) ). 23.31/3.54 23.31/3.54 cnf(c_1313,plain, 23.31/3.54 ( r2(X0,X1) | ~ r2(X2,sK4(X2)) | X0 != X2 | X1 != sK4(X2) ), 23.31/3.54 inference(instantiation,[status(thm)],[c_478]) ). 23.31/3.54 23.31/3.54 cnf(c_1315,plain, 23.31/3.54 ( ~ r2(sK9,sK4(sK9)) | r2(sK9,sK9) | sK9 != sK4(sK9) | sK9 != sK9 ), 23.31/3.54 inference(instantiation,[status(thm)],[c_1313]) ). 23.31/3.54 23.31/3.54 cnf(c_1509,plain, 23.31/3.54 ( ~ r2(X0,X1) | ~ r2(sK4(X2),X1) | X0 = sK4(X2) ), 23.31/3.54 inference(instantiation,[status(thm)],[c_35]) ). 23.31/3.54 23.31/3.54 cnf(c_1729,plain, 23.31/3.54 ( ~ r2(X0,sK4(sK4(X1))) 23.31/3.54 | ~ r2(sK4(X1),sK4(sK4(X1))) 23.31/3.54 | X0 = sK4(X1) ), 23.31/3.54 inference(instantiation,[status(thm)],[c_1509]) ). 23.31/3.54 23.31/3.54 cnf(c_1731,plain, 23.31/3.54 ( X0 = sK4(X1) 23.31/3.54 | r2(X0,sK4(sK4(X1))) != iProver_top 23.31/3.54 | r2(sK4(X1),sK4(sK4(X1))) != iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_1729]) ). 23.31/3.54 23.31/3.54 cnf(c_1733,plain, 23.31/3.54 ( sK9 = sK4(sK9) 23.31/3.54 | r2(sK4(sK9),sK4(sK4(sK9))) != iProver_top 23.31/3.54 | r2(sK9,sK4(sK4(sK9))) != iProver_top ), 23.31/3.54 inference(instantiation,[status(thm)],[c_1731]) ). 23.31/3.54 23.31/3.54 cnf(c_1730,plain, 23.31/3.54 ( r2(sK4(X0),sK4(sK4(X0))) ), 23.31/3.54 inference(instantiation,[status(thm)],[c_8]) ). 23.31/3.54 23.31/3.54 cnf(c_1735,plain, 23.31/3.54 ( r2(sK4(X0),sK4(sK4(X0))) = iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_1730]) ). 23.31/3.54 23.31/3.54 cnf(c_1737,plain, 23.31/3.54 ( r2(sK4(sK9),sK4(sK4(sK9))) = iProver_top ), 23.31/3.54 inference(instantiation,[status(thm)],[c_1735]) ). 23.31/3.54 23.31/3.54 cnf(c_5272,plain, 23.31/3.54 ( sK21(X0) = sK4(sK9) | sK20(X0) = X0 ), 23.31/3.54 inference(superposition,[status(thm)],[c_3033,c_987]) ). 23.31/3.54 23.31/3.54 cnf(c_3003,plain, 23.31/3.54 ( sK21(X0) = X0 | sK20(X0) = sK9 ), 23.31/3.54 inference(superposition,[status(thm)],[c_965,c_982]) ). 23.31/3.54 23.31/3.54 cnf(c_3146,plain, 23.31/3.54 ( sK20(X0) = sK9 23.31/3.54 | r2(sK22(X0),X0) = iProver_top 23.31/3.54 | r1(sK20(X0)) = iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_3003,c_963]) ). 23.31/3.54 23.31/3.54 cnf(c_3695,plain, 23.31/3.54 ( sK20(X0) = sK9 23.31/3.54 | r1(X0) != iProver_top 23.31/3.54 | r1(sK20(X0)) = iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_3146,c_975]) ). 23.31/3.54 23.31/3.54 cnf(c_479,plain,( ~ r1(X0) | r1(X1) | X1 != X0 ),theory(equality) ). 23.31/3.54 23.31/3.54 cnf(c_2863,plain, 23.31/3.54 ( ~ r1(X0) | r1(sK21(X0)) | r1(sK20(X0)) ), 23.31/3.54 inference(resolution,[status(thm)],[c_479,c_42]) ). 23.31/3.54 23.31/3.54 cnf(c_1640,plain, 23.31/3.54 ( ~ r1(sK21(X0)) | r1(sK20(X0)) ), 23.31/3.54 inference(resolution,[status(thm)],[c_29,c_44]) ). 23.31/3.54 23.31/3.54 cnf(c_3051,plain, 23.31/3.54 ( ~ r1(X0) | r1(sK20(X0)) ), 23.31/3.54 inference(global_propositional_subsumption, 23.31/3.54 [status(thm)], 23.31/3.54 [c_2863,c_1640]) ). 23.31/3.54 23.31/3.54 cnf(c_3053,plain, 23.31/3.54 ( r1(X0) != iProver_top | r1(sK20(X0)) = iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_3051]) ). 23.31/3.54 23.31/3.54 cnf(c_17370,plain, 23.31/3.54 ( r1(X0) != iProver_top | r1(sK20(X0)) = iProver_top ), 23.31/3.54 inference(global_propositional_subsumption, 23.31/3.54 [status(thm)], 23.31/3.54 [c_3695,c_3053]) ). 23.31/3.54 23.31/3.54 cnf(c_17390,plain, 23.31/3.54 ( sK20(X0) = sK9 | r1(X0) != iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_17370,c_982]) ). 23.31/3.54 23.31/3.54 cnf(c_30877,plain, 23.31/3.54 ( sK22(X0) = sK9 | sK20(sK20(X0)) = sK9 ), 23.31/3.54 inference(superposition,[status(thm)],[c_3001,c_17390]) ). 23.31/3.54 23.31/3.54 cnf(c_39969,plain, 23.31/3.54 ( sK22(sK4(X0)) = sK9 | sK20(X0) = X0 | sK20(sK4(sK21(X0))) = sK9 ), 23.31/3.54 inference(superposition,[status(thm)],[c_39804,c_30877]) ). 23.31/3.54 23.31/3.54 cnf(c_126,plain, 23.31/3.54 ( r2(X0,sK4(X0)) = iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_8]) ). 23.31/3.54 23.31/3.54 cnf(c_1219,plain, 23.31/3.54 ( ~ r2(X0,sK4(X0)) | ~ r1(sK4(X0)) ), 23.31/3.54 inference(instantiation,[status(thm)],[c_29]) ). 23.31/3.54 23.31/3.54 cnf(c_1220,plain, 23.31/3.54 ( r2(X0,sK4(X0)) != iProver_top | r1(sK4(X0)) != iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_1219]) ). 23.31/3.54 23.31/3.54 cnf(c_16734,plain, 23.31/3.54 ( sK22(sK4(X0)) = sK9 | sK20(X0) = X0 | r1(sK4(X0)) = iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_13937,c_3001]) ). 23.31/3.54 23.31/3.54 cnf(c_41054,plain, 23.31/3.54 ( sK20(X0) = X0 | sK22(sK4(X0)) = sK9 ), 23.31/3.54 inference(global_propositional_subsumption, 23.31/3.54 [status(thm)], 23.31/3.54 [c_39969,c_126,c_1220,c_16734]) ). 23.31/3.54 23.31/3.54 cnf(c_41055,plain, 23.31/3.54 ( sK22(sK4(X0)) = sK9 | sK20(X0) = X0 ), 23.31/3.54 inference(renaming,[status(thm)],[c_41054]) ). 23.31/3.54 23.31/3.54 cnf(c_41091,plain, 23.31/3.54 ( sK20(X0) = X0 23.31/3.54 | r2(sK9,sK21(sK4(X0))) = iProver_top 23.31/3.54 | r1(sK20(sK4(X0))) = iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_41055,c_963]) ). 23.31/3.54 23.31/3.54 cnf(c_45119,plain, 23.31/3.54 ( sK20(X0) = X0 23.31/3.54 | r2(sK9,sK4(sK21(X0))) = iProver_top 23.31/3.54 | r1(sK20(sK4(X0))) = iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_44609,c_41091]) ). 23.31/3.54 23.31/3.54 cnf(c_46719,plain, 23.31/3.54 ( sK20(X0) = X0 23.31/3.54 | r2(sK9,sK4(sK4(sK9))) = iProver_top 23.31/3.54 | r1(sK20(sK4(X0))) = iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_5272,c_45119]) ). 23.31/3.54 23.31/3.54 cnf(c_40899,plain, 23.31/3.54 ( sK20(X0) = X0 23.31/3.54 | sK20(sK21(X0)) = sK21(X0) 23.31/3.54 | sK4(sK21(sK21(X0))) = sK20(sK4(X0)) ), 23.31/3.54 inference(superposition,[status(thm)],[c_39994,c_39804]) ). 23.31/3.54 23.31/3.54 cnf(c_51000,plain, 23.31/3.54 ( sK20(X0) = X0 23.31/3.54 | sK20(sK21(X0)) = sK21(X0) 23.31/3.54 | r1(sK20(sK4(X0))) != iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_40899,c_3689]) ). 23.31/3.54 23.31/3.54 cnf(c_52342,plain, 23.31/3.54 ( sK20(sK21(X0)) = sK21(X0) | sK20(X0) = X0 ), 23.31/3.54 inference(global_propositional_subsumption, 23.31/3.54 [status(thm)], 23.31/3.54 [c_45094,c_85,c_20,c_19,c_127,c_1315,c_1733,c_1737, 23.31/3.54 c_46719,c_51000]) ). 23.31/3.54 23.31/3.54 cnf(c_52343,plain, 23.31/3.54 ( sK20(X0) = X0 | sK20(sK21(X0)) = sK21(X0) ), 23.31/3.54 inference(renaming,[status(thm)],[c_52342]) ). 23.31/3.54 23.31/3.54 cnf(c_52352,plain, 23.31/3.54 ( sK21(X0) = sK20(X0) | sK20(X0) = X0 ), 23.31/3.54 inference(superposition,[status(thm)],[c_39,c_52343]) ). 23.31/3.54 23.31/3.54 cnf(c_52506,plain, 23.31/3.54 ( sK20(X0) = X0 ), 23.31/3.54 inference(superposition,[status(thm)],[c_52352,c_39]) ). 23.31/3.54 23.31/3.54 cnf(c_5268,plain, 23.31/3.54 ( sK20(X0) = sK9 23.31/3.54 | sK4(sK22(X0)) = X0 23.31/3.54 | r1(sK20(X0)) = iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_3146,c_987]) ). 23.31/3.54 23.31/3.54 cnf(c_25442,plain, 23.31/3.54 ( sK20(X0) = sK9 | sK4(sK22(X0)) = X0 ), 23.31/3.54 inference(superposition,[status(thm)],[c_5268,c_982]) ). 23.31/3.54 23.31/3.54 cnf(c_32241,plain, 23.31/3.54 ( sK20(X0) = sK9 | r2(sK22(X0),X0) = iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_25442,c_988]) ). 23.31/3.54 23.31/3.54 cnf(c_54063,plain, 23.31/3.54 ( sK9 = X0 | r2(sK22(X0),X0) = iProver_top ), 23.31/3.54 inference(demodulation,[status(thm)],[c_52506,c_32241]) ). 23.31/3.54 23.31/3.54 cnf(c_57240,plain, 23.31/3.54 ( sK20(X0) = sK9 | sK9 = X0 | r2(sK9,X0) = iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_3161,c_54063]) ). 23.31/3.54 23.31/3.54 cnf(c_57266,plain, 23.31/3.54 ( sK9 = X0 | r2(sK9,X0) = iProver_top ), 23.31/3.54 inference(demodulation,[status(thm)],[c_57240,c_52506]) ). 23.31/3.54 23.31/3.54 cnf(c_57274,plain, 23.31/3.54 ( sK4(sK9) = X0 | sK9 = X0 ), 23.31/3.54 inference(superposition,[status(thm)],[c_57266,c_987]) ). 23.31/3.54 23.31/3.54 cnf(c_13939,plain, 23.31/3.54 ( sK20(sK4(sK4(X0))) = sK4(sK4(X0)) ), 23.31/3.54 inference(superposition,[status(thm)],[c_13777,c_3689]) ). 23.31/3.54 23.31/3.54 cnf(c_58879,plain, 23.31/3.54 ( sK4(sK4(X0)) = sK20(sK4(sK9)) | sK4(sK4(X0)) = sK9 ), 23.31/3.54 inference(superposition,[status(thm)],[c_57274,c_13939]) ). 23.31/3.54 23.31/3.54 cnf(c_59197,plain, 23.31/3.54 ( sK4(sK4(X0)) = sK4(sK9) | sK4(sK4(X0)) = sK9 ), 23.31/3.54 inference(demodulation,[status(thm)],[c_58879,c_52506]) ). 23.31/3.54 23.31/3.54 cnf(c_61037,plain, 23.31/3.54 ( sK20(X0) = sK9 23.31/3.54 | sK4(sK21(X0)) = sK4(sK9) 23.31/3.54 | sK4(sK4(sK22(X0))) = sK9 ), 23.31/3.54 inference(superposition,[status(thm)],[c_6087,c_59197]) ). 23.31/3.54 23.31/3.54 cnf(c_61166,plain, 23.31/3.54 ( sK4(sK21(X0)) = sK4(sK9) | sK4(sK4(sK22(X0))) = sK9 | sK9 = X0 ), 23.31/3.54 inference(demodulation,[status(thm)],[c_61037,c_52506]) ). 23.31/3.54 23.31/3.54 cnf(c_64992,plain, 23.31/3.54 ( sK20(X0) = sK9 23.31/3.54 | sK4(sK21(X0)) = sK4(sK9) 23.31/3.54 | sK4(sK4(sK9)) = sK9 23.31/3.54 | sK9 = X0 ), 23.31/3.54 inference(superposition,[status(thm)],[c_3161,c_61166]) ). 23.31/3.54 23.31/3.54 cnf(c_65142,plain, 23.31/3.54 ( sK4(sK21(X0)) = sK4(sK9) | sK4(sK4(sK9)) = sK9 | sK9 = X0 ), 23.31/3.54 inference(demodulation,[status(thm)],[c_64992,c_52506]) ). 23.31/3.54 23.31/3.54 cnf(c_128,plain, 23.31/3.54 ( r2(sK9,sK4(sK9)) = iProver_top ), 23.31/3.54 inference(instantiation,[status(thm)],[c_126]) ). 23.31/3.54 23.31/3.54 cnf(c_1532,plain, 23.31/3.54 ( r2(X0,sK21(sK4(X1))) 23.31/3.54 | ~ r2(X1,sK4(X1)) 23.31/3.54 | X0 != X1 23.31/3.54 | sK21(sK4(X1)) != sK4(X1) ), 23.31/3.54 inference(instantiation,[status(thm)],[c_1313]) ). 23.31/3.54 23.31/3.54 cnf(c_1535,plain, 23.31/3.54 ( X0 != X1 23.31/3.54 | sK21(sK4(X1)) != sK4(X1) 23.31/3.54 | r2(X0,sK21(sK4(X1))) = iProver_top 23.31/3.54 | r2(X1,sK4(X1)) != iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_1532]) ). 23.31/3.54 23.31/3.54 cnf(c_1537,plain, 23.31/3.54 ( sK21(sK4(sK9)) != sK4(sK9) 23.31/3.54 | sK9 != sK9 23.31/3.54 | r2(sK9,sK21(sK4(sK9))) = iProver_top 23.31/3.54 | r2(sK9,sK4(sK9)) != iProver_top ), 23.31/3.54 inference(instantiation,[status(thm)],[c_1535]) ). 23.31/3.54 23.31/3.54 cnf(c_1579,plain, 23.31/3.54 ( r2(X0,X1) 23.31/3.54 | ~ r2(X2,sK21(sK4(X3))) 23.31/3.54 | X0 != X2 23.31/3.54 | X1 != sK21(sK4(X3)) ), 23.31/3.54 inference(instantiation,[status(thm)],[c_478]) ). 23.31/3.54 23.31/3.54 cnf(c_2616,plain, 23.31/3.54 ( ~ r2(X0,sK21(sK4(X1))) 23.31/3.54 | r2(X2,sK4(X3)) 23.31/3.54 | X2 != X0 23.31/3.54 | sK4(X3) != sK21(sK4(X1)) ), 23.31/3.54 inference(instantiation,[status(thm)],[c_1579]) ). 23.31/3.54 23.31/3.54 cnf(c_7097,plain, 23.31/3.54 ( ~ r2(X0,sK21(sK4(X1))) 23.31/3.54 | r2(X2,sK4(sK4(X3))) 23.31/3.54 | X2 != X0 23.31/3.54 | sK4(sK4(X3)) != sK21(sK4(X1)) ), 23.31/3.54 inference(instantiation,[status(thm)],[c_2616]) ). 23.31/3.54 23.31/3.54 cnf(c_7098,plain, 23.31/3.54 ( X0 != X1 23.31/3.54 | sK4(sK4(X2)) != sK21(sK4(X3)) 23.31/3.54 | r2(X1,sK21(sK4(X3))) != iProver_top 23.31/3.54 | r2(X0,sK4(sK4(X2))) = iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_7097]) ). 23.31/3.54 23.31/3.54 cnf(c_7100,plain, 23.31/3.54 ( sK4(sK4(sK9)) != sK21(sK4(sK9)) 23.31/3.54 | sK9 != sK9 23.31/3.54 | r2(sK9,sK21(sK4(sK9))) != iProver_top 23.31/3.54 | r2(sK9,sK4(sK4(sK9))) = iProver_top ), 23.31/3.54 inference(instantiation,[status(thm)],[c_7098]) ). 23.31/3.54 23.31/3.54 cnf(c_54107,plain, 23.31/3.54 ( sK21(X0) = X0 | r1(X0) = iProver_top ), 23.31/3.54 inference(demodulation,[status(thm)],[c_52506,c_965]) ). 23.31/3.54 23.31/3.54 cnf(c_56248,plain, 23.31/3.54 ( sK21(sK4(X0)) = sK4(X0) ), 23.31/3.54 inference(superposition,[status(thm)],[c_54107,c_3689]) ). 23.31/3.54 23.31/3.54 cnf(c_56273,plain, 23.31/3.54 ( sK21(sK4(sK9)) = sK4(sK9) ), 23.31/3.54 inference(instantiation,[status(thm)],[c_56248]) ). 23.31/3.54 23.31/3.54 cnf(c_14304,plain, 23.31/3.54 ( sK21(sK4(sK4(X0))) = sK4(sK4(X0)) 23.31/3.54 | r1(sK4(sK4(X0))) = iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_13939,c_965]) ). 23.31/3.54 23.31/3.54 cnf(c_15209,plain, 23.31/3.54 ( sK21(sK4(sK4(X0))) = sK4(sK4(X0)) ), 23.31/3.54 inference(forward_subsumption_resolution, 23.31/3.54 [status(thm)], 23.31/3.54 [c_14304,c_3689]) ). 23.31/3.54 23.31/3.54 cnf(c_58878,plain, 23.31/3.54 ( sK4(sK4(X0)) = sK21(sK4(sK9)) | sK4(sK4(X0)) = sK9 ), 23.31/3.54 inference(superposition,[status(thm)],[c_57274,c_15209]) ). 23.31/3.54 23.31/3.54 cnf(c_59328,plain, 23.31/3.54 ( sK4(sK4(sK9)) = sK21(sK4(sK9)) | sK4(sK4(sK9)) = sK9 ), 23.31/3.54 inference(instantiation,[status(thm)],[c_58878]) ). 23.31/3.54 23.31/3.54 cnf(c_65155,plain, 23.31/3.54 ( sK4(sK4(sK9)) = sK9 ), 23.31/3.54 inference(global_propositional_subsumption, 23.31/3.54 [status(thm)], 23.31/3.54 [c_65142,c_85,c_20,c_19,c_127,c_128,c_1315,c_1537,c_1733, 23.31/3.54 c_1737,c_7100,c_56273,c_59328]) ). 23.31/3.54 23.31/3.54 cnf(c_65175,plain, 23.31/3.54 ( r1(sK9) != iProver_top ), 23.31/3.54 inference(superposition,[status(thm)],[c_65155,c_3689]) ). 23.31/3.54 23.31/3.54 cnf(c_105,plain, 23.31/3.54 ( r1(sK9) = iProver_top ), 23.31/3.54 inference(predicate_to_equality,[status(thm)],[c_20]) ). 23.31/3.54 23.31/3.54 cnf(contradiction,plain, 23.31/3.54 ( $false ), 23.31/3.54 inference(minisat,[status(thm)],[c_65175,c_105]) ). 23.31/3.54 23.31/3.54 23.31/3.54 % SZS output end CNFRefutation for theBenchmark.p 23.31/3.54 23.31/3.54 ------ Statistics 23.31/3.54 23.31/3.54 ------ Selected 23.31/3.54 23.31/3.54 total_time: 2.807 23.31/3.54 23.31/3.55 EOF