0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.13 % 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 0.12/0.33 % Computer : n022.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 02:11:31 EDT 2022 0.12/0.33 % CPUTime : 33.03/5.82 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p 33.03/5.82 33.03/5.82 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 33.03/5.82 33.03/5.82 ------ iProver source info 33.03/5.82 33.03/5.82 git: date: 2022-07-26 19:47:37 +0300 33.03/5.82 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 33.03/5.82 git: non_committed_changes: false 33.03/5.82 git: last_make_outside_of_git: false 33.03/5.82 33.03/5.82 ------ Parsing... 33.03/5.82 ------ Clausification by vclausify_rel & Parsing by iProver... 33.03/5.82 33.03/5.82 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e 33.03/5.82 33.03/5.82 ------ Preprocessing... 33.03/5.82 33.03/5.82 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 33.03/5.82 ------ Proving... 33.03/5.82 ------ Problem Properties 33.03/5.82 33.03/5.82 33.03/5.82 clauses 59 33.03/5.82 conjectures 1 33.03/5.82 EPR 18 33.03/5.82 Horn 50 33.03/5.82 unary 18 33.03/5.82 binary 16 33.03/5.82 lits 164 33.03/5.82 lits eq 29 33.03/5.82 fd_pure 0 33.03/5.82 fd_pseudo 0 33.03/5.82 fd_cond 0 33.03/5.82 fd_pseudo_cond 1 33.03/5.82 AC symbols 0 33.03/5.82 33.03/5.82 ------ Input Options Time Limit: Unbounded 33.03/5.82 33.03/5.82 33.03/5.82 ------ 33.03/5.82 Current options: 33.03/5.82 ------ 33.03/5.82 33.03/5.82 33.03/5.82 33.03/5.82 33.03/5.82 ------ Proving... 33.03/5.82 33.03/5.82 33.03/5.82 % SZS status Theorem for theBenchmark.p 33.03/5.82 33.03/5.82 % SZS output start CNFRefutation for theBenchmark.p 33.03/5.82 33.03/5.82 fof(f5,axiom,( 33.03/5.82 ! [X11,X0,X9] : ((! [X12] : (element(X12,X9) => ? [X10] : (element(X10,X0) & apply(X11,X10) = X12)) & morphism(X11,X0,X9)) => surjection(X11))), 33.03/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',properties_for_surjection)). 33.03/5.82 33.03/5.82 fof(f38,plain,( 33.03/5.82 ! [X0,X1,X2] : ((! [X3] : (element(X3,X2) => ? [X4] : (element(X4,X1) & apply(X0,X4) = X3)) & morphism(X0,X1,X2)) => surjection(X0))), 33.03/5.82 inference(rectify,[],[f5])). 33.03/5.82 33.03/5.82 fof(f59,plain,( 33.03/5.82 ! [X0,X1,X2] : (surjection(X0) | (? [X3] : (! [X4] : (~element(X4,X1) | apply(X0,X4) != X3) & element(X3,X2)) | ~morphism(X0,X1,X2)))), 33.03/5.82 inference(ennf_transformation,[],[f38])). 33.03/5.82 33.03/5.82 fof(f60,plain,( 33.03/5.82 ! [X0,X1,X2] : (surjection(X0) | ? [X3] : (! [X4] : (~element(X4,X1) | apply(X0,X4) != X3) & element(X3,X2)) | ~morphism(X0,X1,X2))), 33.03/5.82 inference(flattening,[],[f59])). 33.03/5.82 33.03/5.82 fof(f80,plain,( 33.03/5.82 ! [X0,X1,X2] : (? [X3] : (! [X4] : (~element(X4,X1) | apply(X0,X4) != X3) & element(X3,X2)) => (! [X4] : (~element(X4,X1) | apply(X0,X4) != sK1(X0,X1,X2)) & element(sK1(X0,X1,X2),X2)))), 33.03/5.82 introduced(choice_axiom,[])). 33.03/5.82 33.03/5.82 fof(f81,plain,( 33.03/5.82 ! [X0,X1,X2] : (surjection(X0) | (! [X4] : (~element(X4,X1) | apply(X0,X4) != sK1(X0,X1,X2)) & element(sK1(X0,X1,X2),X2)) | ~morphism(X0,X1,X2))), 33.03/5.82 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f60,f80])). 33.03/5.82 33.03/5.82 fof(f109,plain,( 33.03/5.82 ( ! [X4,X2,X0,X1] : (surjection(X0) | ~element(X4,X1) | apply(X0,X4) != sK1(X0,X1,X2) | ~morphism(X0,X1,X2)) )), 33.03/5.82 inference(cnf_transformation,[],[f81])). 33.03/5.82 33.03/5.82 fof(f1,axiom,( 33.03/5.82 ! [X0,X1,X2] : ((element(X2,X0) & element(X1,X0)) => element(subtract(X0,X1,X2),X0))), 33.03/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_in_domain)). 33.03/5.82 33.03/5.82 fof(f51,plain,( 33.03/5.82 ! [X0,X1,X2] : (element(subtract(X0,X1,X2),X0) | (~element(X2,X0) | ~element(X1,X0)))), 33.03/5.82 inference(ennf_transformation,[],[f1])). 33.03/5.82 33.03/5.82 fof(f52,plain,( 33.03/5.82 ! [X0,X1,X2] : (element(subtract(X0,X1,X2),X0) | ~element(X2,X0) | ~element(X1,X0))), 33.03/5.82 inference(flattening,[],[f51])). 33.03/5.82 33.03/5.82 fof(f103,plain,( 33.03/5.82 ( ! [X2,X0,X1] : (element(subtract(X0,X1,X2),X0) | ~element(X2,X0) | ~element(X1,X0)) )), 33.03/5.82 inference(cnf_transformation,[],[f52])). 33.03/5.82 33.03/5.82 fof(f16,axiom,( 33.03/5.82 ! [X18] : (element(X18,e) => ? [X20,X21] : (element(X20,b) & apply(g,subtract(b,X20,X21)) = X18 & element(X21,b)))), 33.03/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma12)). 33.03/5.82 33.03/5.82 fof(f48,plain,( 33.03/5.82 ! [X0] : (element(X0,e) => ? [X1,X2] : (element(X1,b) & apply(g,subtract(b,X1,X2)) = X0 & element(X2,b)))), 33.03/5.82 inference(rectify,[],[f16])). 33.03/5.82 33.03/5.82 fof(f76,plain,( 33.03/5.82 ! [X0] : (? [X1,X2] : (element(X1,b) & apply(g,subtract(b,X1,X2)) = X0 & element(X2,b)) | ~element(X0,e))), 33.03/5.82 inference(ennf_transformation,[],[f48])). 33.03/5.82 33.03/5.82 fof(f99,plain,( 33.03/5.82 ! [X0] : (? [X1,X2] : (element(X1,b) & apply(g,subtract(b,X1,X2)) = X0 & element(X2,b)) => (element(sK10(X0),b) & apply(g,subtract(b,sK10(X0),sK11(X0))) = X0 & element(sK11(X0),b)))), 33.03/5.82 introduced(choice_axiom,[])). 33.03/5.82 33.03/5.82 fof(f100,plain,( 33.03/5.82 ! [X0] : ((element(sK10(X0),b) & apply(g,subtract(b,sK10(X0),sK11(X0))) = X0 & element(sK11(X0),b)) | ~element(X0,e))), 33.03/5.82 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f76,f99])). 33.03/5.82 33.03/5.82 fof(f136,plain,( 33.03/5.82 ( ! [X0] : (element(sK11(X0),b) | ~element(X0,e)) )), 33.03/5.82 inference(cnf_transformation,[],[f100])). 33.03/5.82 33.03/5.82 fof(f138,plain,( 33.03/5.82 ( ! [X0] : (element(sK10(X0),b) | ~element(X0,e)) )), 33.03/5.82 inference(cnf_transformation,[],[f100])). 33.03/5.82 33.03/5.82 fof(f137,plain,( 33.03/5.82 ( ! [X0] : (apply(g,subtract(b,sK10(X0),sK11(X0))) = X0 | ~element(X0,e)) )), 33.03/5.82 inference(cnf_transformation,[],[f100])). 33.03/5.82 33.03/5.82 fof(f108,plain,( 33.03/5.82 ( ! [X2,X0,X1] : (surjection(X0) | element(sK1(X0,X1,X2),X2) | ~morphism(X0,X1,X2)) )), 33.03/5.82 inference(cnf_transformation,[],[f81])). 33.03/5.82 33.03/5.82 fof(f17,axiom,( 33.03/5.82 morphism(g,b,e)), 33.03/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',g_morphism)). 33.03/5.82 33.03/5.82 fof(f139,plain,( 33.03/5.82 morphism(g,b,e)), 33.03/5.82 inference(cnf_transformation,[],[f17])). 33.03/5.82 33.03/5.82 fof(f19,conjecture,( 33.03/5.82 surjection(g)), 33.03/5.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',g_surjection)). 33.03/5.82 33.03/5.82 fof(f20,negated_conjecture,( 33.03/5.82 ~surjection(g)), 33.03/5.82 inference(negated_conjecture,[],[f19])). 33.03/5.82 33.03/5.82 fof(f49,plain,( 33.03/5.82 ~surjection(g)), 33.03/5.82 inference(flattening,[],[f20])). 33.03/5.82 33.03/5.82 fof(f141,plain,( 33.03/5.82 ~surjection(g)), 33.03/5.82 inference(cnf_transformation,[],[f49])). 33.03/5.82 33.03/5.82 cnf(c_54,plain, 33.03/5.82 ( sK1(X0,X1,X2) != apply(X0,X3) 33.03/5.82 | ~ morphism(X0,X1,X2) 33.03/5.82 | ~ element(X3,X1) 33.03/5.82 | surjection(X0) ), 33.03/5.82 inference(cnf_transformation,[],[f109]) ). 33.03/5.82 33.03/5.82 cnf(c_52796,plain, 33.03/5.82 ( sK1(g,b,e) != apply(g,subtract(b,sK10(sK1(g,b,e)),sK11(sK1(g,b,e)))) 33.03/5.82 | ~ element(subtract(b,sK10(sK1(g,b,e)),sK11(sK1(g,b,e))),b) 33.03/5.82 | ~ morphism(g,b,e) 33.03/5.82 | surjection(g) ), 33.03/5.82 inference(instantiation,[status(thm)],[c_54]) ). 33.03/5.82 33.03/5.82 cnf(c_177,plain,( X0 != X1 | X2 != X1 | X2 = X0 ),theory(equality) ). 33.03/5.82 33.03/5.82 cnf(c_42771,plain, 33.03/5.82 ( sK1(g,b,e) != X0 | X1 != X0 | sK1(g,b,e) = X1 ), 33.03/5.82 inference(instantiation,[status(thm)],[c_177]) ). 33.03/5.82 33.03/5.82 cnf(c_43678,plain, 33.03/5.82 ( sK1(g,b,e) != sK1(g,b,e) | X0 != sK1(g,b,e) | sK1(g,b,e) = X0 ), 33.03/5.82 inference(instantiation,[status(thm)],[c_42771]) ). 33.03/5.82 33.03/5.82 cnf(c_46394,plain, 33.03/5.82 ( apply(g,subtract(b,sK10(sK1(g,b,e)),sK11(sK1(g,b,e)))) != sK1(g,b,e) 33.03/5.82 | sK1(g,b,e) != sK1(g,b,e) 33.03/5.82 | sK1(g,b,e) = apply(g,subtract(b,sK10(sK1(g,b,e)),sK11(sK1(g,b,e)))) ), 33.03/5.82 inference(instantiation,[status(thm)],[c_43678]) ). 33.03/5.82 33.03/5.82 cnf(c_49,plain, 33.03/5.82 ( ~ element(X0,X1) 33.03/5.82 | ~ element(X2,X1) 33.03/5.82 | element(subtract(X1,X0,X2),X1) ), 33.03/5.82 inference(cnf_transformation,[],[f103]) ). 33.03/5.82 33.03/5.82 cnf(c_1197,plain, 33.03/5.82 ( ~ element(sK11(sK1(g,b,e)),b) 33.03/5.82 | ~ element(X0,b) 33.03/5.82 | element(subtract(b,X0,sK11(sK1(g,b,e))),b) ), 33.03/5.82 inference(instantiation,[status(thm)],[c_49]) ). 33.03/5.82 33.03/5.82 cnf(c_2923,plain, 33.03/5.82 ( ~ element(sK10(sK1(g,b,e)),b) 33.03/5.82 | ~ element(sK11(sK1(g,b,e)),b) 33.03/5.82 | element(subtract(b,sK10(sK1(g,b,e)),sK11(sK1(g,b,e))),b) ), 33.03/5.82 inference(instantiation,[status(thm)],[c_1197]) ). 33.03/5.82 33.03/5.82 cnf(c_175,plain,( X0 = X0 ),theory(equality) ). 33.03/5.82 33.03/5.82 cnf(c_1809,plain, 33.03/5.82 ( sK1(g,b,e) = sK1(g,b,e) ), 33.03/5.82 inference(instantiation,[status(thm)],[c_175]) ). 33.03/5.82 33.03/5.82 cnf(c_84,plain, 33.03/5.82 ( ~ element(X0,e) | element(sK11(X0),b) ), 33.03/5.82 inference(cnf_transformation,[],[f136]) ). 33.03/5.82 33.03/5.82 cnf(c_493,plain, 33.03/5.82 ( ~ element(sK1(g,b,e),e) | element(sK11(sK1(g,b,e)),b) ), 33.03/5.82 inference(instantiation,[status(thm)],[c_84]) ). 33.03/5.82 33.03/5.82 cnf(c_82,plain, 33.03/5.82 ( ~ element(X0,e) | element(sK10(X0),b) ), 33.03/5.82 inference(cnf_transformation,[],[f138]) ). 33.03/5.82 33.03/5.82 cnf(c_494,plain, 33.03/5.82 ( ~ element(sK1(g,b,e),e) | element(sK10(sK1(g,b,e)),b) ), 33.03/5.82 inference(instantiation,[status(thm)],[c_82]) ). 33.03/5.82 33.03/5.82 cnf(c_83,plain, 33.03/5.82 ( ~ element(X0,e) | apply(g,subtract(b,sK10(X0),sK11(X0))) = X0 ), 33.03/5.82 inference(cnf_transformation,[],[f137]) ). 33.03/5.82 33.03/5.82 cnf(c_498,plain, 33.03/5.82 ( ~ element(sK1(g,b,e),e) 33.03/5.82 | apply(g,subtract(b,sK10(sK1(g,b,e)),sK11(sK1(g,b,e)))) = sK1(g,b,e) ), 33.03/5.82 inference(instantiation,[status(thm)],[c_83]) ). 33.03/5.82 33.03/5.82 cnf(c_55,plain, 33.03/5.82 ( ~ morphism(X0,X1,X2) 33.03/5.82 | element(sK1(X0,X1,X2),X2) 33.03/5.82 | surjection(X0) ), 33.03/5.82 inference(cnf_transformation,[],[f108]) ). 33.03/5.82 33.03/5.82 cnf(c_230,plain, 33.03/5.82 ( ~ morphism(g,b,e) | element(sK1(g,b,e),e) | surjection(g) ), 33.03/5.82 inference(instantiation,[status(thm)],[c_55]) ). 33.03/5.82 33.03/5.82 cnf(c_85,plain, 33.03/5.82 ( morphism(g,b,e) ), 33.03/5.82 inference(cnf_transformation,[],[f139]) ). 33.03/5.82 33.03/5.82 cnf(c_87,negated_conjecture, 33.03/5.82 ( ~ surjection(g) ), 33.03/5.82 inference(cnf_transformation,[],[f141]) ). 33.03/5.82 33.03/5.82 cnf(contradiction,plain, 33.03/5.82 ( $false ), 33.03/5.82 inference(minisat, 33.03/5.82 [status(thm)], 33.03/5.82 [c_52796,c_46394,c_2923,c_1809,c_493,c_494,c_498,c_230, 33.03/5.82 c_85,c_87]) ). 33.03/5.82 33.03/5.82 33.03/5.82 % SZS output end CNFRefutation for theBenchmark.p 33.03/5.82 33.03/5.82 ------ Statistics 33.03/5.82 33.03/5.82 ------ Selected 33.03/5.82 33.03/5.82 total_time: 2.694 33.03/5.82 33.03/5.85 EOF