0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % 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 0.14/0.35 % Computer : n007.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 960 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Tue Aug 9 04:55:57 EDT 2022 0.14/0.36 % CPUTime : 36.97/6.53 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p 36.97/6.53 36.97/6.53 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 36.97/6.53 36.97/6.53 ------ iProver source info 36.97/6.53 36.97/6.53 git: date: 2022-07-26 19:47:37 +0300 36.97/6.53 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 36.97/6.53 git: non_committed_changes: false 36.97/6.53 git: last_make_outside_of_git: false 36.97/6.53 36.97/6.53 ------ Parsing... 36.97/6.53 ------ Clausification by vclausify_rel & Parsing by iProver... 36.97/6.53 36.97/6.53 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e 36.97/6.53 36.97/6.53 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 36.97/6.53 36.97/6.53 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 36.97/6.53 ------ Proving... 36.97/6.53 ------ Problem Properties 36.97/6.53 36.97/6.53 36.97/6.53 clauses 44 36.97/6.53 conjectures 3 36.97/6.53 EPR 16 36.97/6.53 Horn 28 36.97/6.53 unary 4 36.97/6.53 binary 16 36.97/6.53 lits 132 36.97/6.53 lits eq 12 36.97/6.53 fd_pure 0 36.97/6.53 fd_pseudo 0 36.97/6.53 fd_cond 0 36.97/6.53 fd_pseudo_cond 7 36.97/6.53 AC symbols 0 36.97/6.53 36.97/6.53 ------ Input Options Time Limit: Unbounded 36.97/6.53 36.97/6.53 36.97/6.53 ------ 36.97/6.53 Current options: 36.97/6.53 ------ 36.97/6.53 36.97/6.53 36.97/6.53 36.97/6.53 36.97/6.53 ------ Proving... 36.97/6.53 36.97/6.53 36.97/6.53 % SZS status Theorem for theBenchmark.p 36.97/6.53 36.97/6.53 % SZS output start CNFRefutation for theBenchmark.p 36.97/6.53 36.97/6.53 fof(f1,axiom,( 36.97/6.53 ! [X0,X1] : (! [X2] : (incident_c(X2,X1) => incident_c(X2,X0)) <=> part_of(X1,X0))), 36.97/6.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn)). 36.97/6.53 36.97/6.53 fof(f35,plain,( 36.97/6.53 ! [X0,X1] : (! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) <=> part_of(X1,X0))), 36.97/6.53 inference(ennf_transformation,[],[f1])). 36.97/6.53 36.97/6.53 fof(f55,plain,( 36.97/6.53 ! [X0,X1] : ((! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) | ~part_of(X1,X0)) & (part_of(X1,X0) | ? [X2] : (~incident_c(X2,X0) & incident_c(X2,X1))))), 36.97/6.53 inference(nnf_transformation,[],[f35])). 36.97/6.53 36.97/6.53 fof(f56,plain,( 36.97/6.53 ! [X0,X1] : ((! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) | ~part_of(X1,X0)) & (part_of(X1,X0) | ? [X3] : (~incident_c(X3,X0) & incident_c(X3,X1))))), 36.97/6.53 inference(rectify,[],[f55])). 36.97/6.53 36.97/6.53 fof(f57,plain,( 36.97/6.53 ! [X0,X1] : (? [X3] : (~incident_c(X3,X0) & incident_c(X3,X1)) => (~incident_c(sK0(X0,X1),X0) & incident_c(sK0(X0,X1),X1)))), 36.97/6.53 introduced(choice_axiom,[])). 36.97/6.53 36.97/6.53 fof(f58,plain,( 36.97/6.53 ! [X0,X1] : ((! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) | ~part_of(X1,X0)) & (part_of(X1,X0) | (~incident_c(sK0(X0,X1),X0) & incident_c(sK0(X0,X1),X1))))), 36.97/6.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f56,f57])). 36.97/6.53 36.97/6.53 fof(f95,plain,( 36.97/6.53 ( ! [X0,X1] : (part_of(X1,X0) | incident_c(sK0(X0,X1),X1)) )), 36.97/6.53 inference(cnf_transformation,[],[f58])). 36.97/6.53 36.97/6.53 fof(f97,plain,( 36.97/6.53 ( ! [X2,X0,X1] : (incident_c(X2,X0) | ~incident_c(X2,X1) | ~part_of(X1,X0)) )), 36.97/6.53 inference(cnf_transformation,[],[f58])). 36.97/6.53 36.97/6.53 fof(f96,plain,( 36.97/6.53 ( ! [X0,X1] : (part_of(X1,X0) | ~incident_c(sK0(X0,X1),X0)) )), 36.97/6.53 inference(cnf_transformation,[],[f58])). 36.97/6.53 36.97/6.53 fof(f16,axiom,( 36.97/6.53 ! [X2,X0] : ((! [X1,X3] : ((part_of(X3,X0) & incident_c(X2,X1) & incident_c(X2,X3) & part_of(X1,X0)) => (part_of(X1,X3) | part_of(X3,X1))) & incident_c(X2,X0)) <=> end_point(X2,X0))), 36.97/6.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn)). 36.97/6.53 36.97/6.53 fof(f31,plain,( 36.97/6.53 ! [X0,X1] : ((! [X2,X3] : ((part_of(X3,X1) & incident_c(X0,X2) & incident_c(X0,X3) & part_of(X2,X1)) => (part_of(X2,X3) | part_of(X3,X2))) & incident_c(X0,X1)) <=> end_point(X0,X1))), 36.97/6.53 inference(rectify,[],[f16])). 36.97/6.53 36.97/6.53 fof(f52,plain,( 36.97/6.53 ! [X0,X1] : ((! [X2,X3] : ((part_of(X2,X3) | part_of(X3,X2)) | (~part_of(X3,X1) | ~incident_c(X0,X2) | ~incident_c(X0,X3) | ~part_of(X2,X1))) & incident_c(X0,X1)) <=> end_point(X0,X1))), 36.97/6.53 inference(ennf_transformation,[],[f31])). 36.97/6.53 36.97/6.53 fof(f53,plain,( 36.97/6.53 ! [X0,X1] : ((! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~part_of(X3,X1) | ~incident_c(X0,X2) | ~incident_c(X0,X3) | ~part_of(X2,X1)) & incident_c(X0,X1)) <=> end_point(X0,X1))), 36.97/6.53 inference(flattening,[],[f52])). 36.97/6.53 36.97/6.53 fof(f87,plain,( 36.97/6.53 ! [X0,X1] : (((! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~part_of(X3,X1) | ~incident_c(X0,X2) | ~incident_c(X0,X3) | ~part_of(X2,X1)) & incident_c(X0,X1)) | ~end_point(X0,X1)) & (end_point(X0,X1) | (? [X2,X3] : (~part_of(X2,X3) & ~part_of(X3,X2) & part_of(X3,X1) & incident_c(X0,X2) & incident_c(X0,X3) & part_of(X2,X1)) | ~incident_c(X0,X1))))), 36.97/6.53 inference(nnf_transformation,[],[f53])). 36.97/6.53 36.97/6.53 fof(f88,plain,( 36.97/6.53 ! [X0,X1] : (((! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~part_of(X3,X1) | ~incident_c(X0,X2) | ~incident_c(X0,X3) | ~part_of(X2,X1)) & incident_c(X0,X1)) | ~end_point(X0,X1)) & (end_point(X0,X1) | ? [X2,X3] : (~part_of(X2,X3) & ~part_of(X3,X2) & part_of(X3,X1) & incident_c(X0,X2) & incident_c(X0,X3) & part_of(X2,X1)) | ~incident_c(X0,X1)))), 36.97/6.53 inference(flattening,[],[f87])). 36.97/6.53 36.97/6.53 fof(f89,plain,( 36.97/6.53 ! [X0,X1] : (((! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~part_of(X3,X1) | ~incident_c(X0,X2) | ~incident_c(X0,X3) | ~part_of(X2,X1)) & incident_c(X0,X1)) | ~end_point(X0,X1)) & (end_point(X0,X1) | ? [X4,X5] : (~part_of(X4,X5) & ~part_of(X5,X4) & part_of(X5,X1) & incident_c(X0,X4) & incident_c(X0,X5) & part_of(X4,X1)) | ~incident_c(X0,X1)))), 36.97/6.53 inference(rectify,[],[f88])). 36.97/6.53 36.97/6.53 fof(f90,plain,( 36.97/6.53 ! [X0,X1] : (? [X4,X5] : (~part_of(X4,X5) & ~part_of(X5,X4) & part_of(X5,X1) & incident_c(X0,X4) & incident_c(X0,X5) & part_of(X4,X1)) => (~part_of(sK11(X0,X1),sK12(X0,X1)) & ~part_of(sK12(X0,X1),sK11(X0,X1)) & part_of(sK12(X0,X1),X1) & incident_c(X0,sK11(X0,X1)) & incident_c(X0,sK12(X0,X1)) & part_of(sK11(X0,X1),X1)))), 36.97/6.53 introduced(choice_axiom,[])). 36.97/6.53 36.97/6.53 fof(f91,plain,( 36.97/6.53 ! [X0,X1] : (((! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~part_of(X3,X1) | ~incident_c(X0,X2) | ~incident_c(X0,X3) | ~part_of(X2,X1)) & incident_c(X0,X1)) | ~end_point(X0,X1)) & (end_point(X0,X1) | (~part_of(sK11(X0,X1),sK12(X0,X1)) & ~part_of(sK12(X0,X1),sK11(X0,X1)) & part_of(sK12(X0,X1),X1) & incident_c(X0,sK11(X0,X1)) & incident_c(X0,sK12(X0,X1)) & part_of(sK11(X0,X1),X1)) | ~incident_c(X0,X1)))), 36.97/6.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f89,f90])). 36.97/6.53 36.97/6.53 fof(f135,plain,( 36.97/6.53 ( ! [X2,X0,X3,X1] : (part_of(X2,X3) | part_of(X3,X2) | ~part_of(X3,X1) | ~incident_c(X0,X2) | ~incident_c(X0,X3) | ~part_of(X2,X1) | ~end_point(X0,X1)) )), 36.97/6.53 inference(cnf_transformation,[],[f91])). 36.97/6.53 36.97/6.53 fof(f129,plain,( 36.97/6.53 ( ! [X0,X1] : (end_point(X0,X1) | incident_c(X0,sK12(X0,X1)) | ~incident_c(X0,X1)) )), 36.97/6.53 inference(cnf_transformation,[],[f91])). 36.97/6.53 36.97/6.53 fof(f130,plain,( 36.97/6.53 ( ! [X0,X1] : (end_point(X0,X1) | incident_c(X0,sK11(X0,X1)) | ~incident_c(X0,X1)) )), 36.97/6.53 inference(cnf_transformation,[],[f91])). 36.97/6.53 36.97/6.53 fof(f132,plain,( 36.97/6.53 ( ! [X0,X1] : (end_point(X0,X1) | ~part_of(sK12(X0,X1),sK11(X0,X1)) | ~incident_c(X0,X1)) )), 36.97/6.53 inference(cnf_transformation,[],[f91])). 36.97/6.53 36.97/6.53 fof(f133,plain,( 36.97/6.53 ( ! [X0,X1] : (end_point(X0,X1) | ~part_of(sK11(X0,X1),sK12(X0,X1)) | ~incident_c(X0,X1)) )), 36.97/6.53 inference(cnf_transformation,[],[f91])). 36.97/6.53 36.97/6.53 fof(f128,plain,( 36.97/6.53 ( ! [X0,X1] : (end_point(X0,X1) | part_of(sK11(X0,X1),X1) | ~incident_c(X0,X1)) )), 36.97/6.53 inference(cnf_transformation,[],[f91])). 36.97/6.53 36.97/6.53 fof(f131,plain,( 36.97/6.53 ( ! [X0,X1] : (end_point(X0,X1) | part_of(sK12(X0,X1),X1) | ~incident_c(X0,X1)) )), 36.97/6.53 inference(cnf_transformation,[],[f91])). 36.97/6.53 36.97/6.53 fof(f3,axiom,( 36.97/6.53 ! [X2,X0] : (inner_point(X2,X0) <=> (incident_c(X2,X0) & ~end_point(X2,X0)))), 36.97/6.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn)). 36.97/6.53 36.97/6.53 fof(f20,plain,( 36.97/6.53 ! [X0,X1] : (inner_point(X0,X1) <=> (incident_c(X0,X1) & ~end_point(X0,X1)))), 36.97/6.53 inference(rectify,[],[f3])). 36.97/6.53 36.97/6.53 fof(f62,plain,( 36.97/6.53 ! [X0,X1] : ((inner_point(X0,X1) | (~incident_c(X0,X1) | end_point(X0,X1))) & ((incident_c(X0,X1) & ~end_point(X0,X1)) | ~inner_point(X0,X1)))), 36.97/6.53 inference(nnf_transformation,[],[f20])). 36.97/6.53 36.97/6.53 fof(f63,plain,( 36.97/6.53 ! [X0,X1] : ((inner_point(X0,X1) | ~incident_c(X0,X1) | end_point(X0,X1)) & ((incident_c(X0,X1) & ~end_point(X0,X1)) | ~inner_point(X0,X1)))), 36.97/6.53 inference(flattening,[],[f62])). 36.97/6.53 36.97/6.53 fof(f100,plain,( 36.97/6.53 ( ! [X0,X1] : (incident_c(X0,X1) | ~inner_point(X0,X1)) )), 36.97/6.53 inference(cnf_transformation,[],[f63])). 36.97/6.53 36.97/6.53 fof(f17,conjecture,( 36.97/6.53 ! [X0,X2] : (? [X7] : (part_of(X7,X0) & inner_point(X2,X7)) => inner_point(X2,X0))), 36.97/6.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_11)). 36.97/6.53 36.97/6.53 fof(f18,negated_conjecture,( 36.97/6.53 ~! [X0,X2] : (? [X7] : (part_of(X7,X0) & inner_point(X2,X7)) => inner_point(X2,X0))), 36.97/6.53 inference(negated_conjecture,[],[f17])). 36.97/6.53 36.97/6.53 fof(f32,plain,( 36.97/6.53 ~! [X0,X1] : (? [X2] : (part_of(X2,X0) & inner_point(X1,X2)) => inner_point(X1,X0))), 36.97/6.53 inference(rectify,[],[f18])). 36.97/6.53 36.97/6.53 fof(f54,plain,( 36.97/6.53 ? [X0,X1] : (~inner_point(X1,X0) & ? [X2] : (part_of(X2,X0) & inner_point(X1,X2)))), 36.97/6.53 inference(ennf_transformation,[],[f32])). 36.97/6.53 36.97/6.53 fof(f93,plain,( 36.97/6.53 ? [X2] : (part_of(X2,sK13) & inner_point(sK14,X2)) => (part_of(sK15,sK13) & inner_point(sK14,sK15))), 36.97/6.53 introduced(choice_axiom,[])). 36.97/6.53 36.97/6.53 fof(f92,plain,( 36.97/6.53 ? [X0,X1] : (~inner_point(X1,X0) & ? [X2] : (part_of(X2,X0) & inner_point(X1,X2))) => (~inner_point(sK14,sK13) & ? [X2] : (part_of(X2,sK13) & inner_point(sK14,X2)))), 36.97/6.53 introduced(choice_axiom,[])). 36.97/6.53 36.97/6.53 fof(f94,plain,( 36.97/6.53 ~inner_point(sK14,sK13) & (part_of(sK15,sK13) & inner_point(sK14,sK15))), 36.97/6.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f54,f93,f92])). 36.97/6.53 36.97/6.53 fof(f136,plain,( 36.97/6.53 inner_point(sK14,sK15)), 36.97/6.53 inference(cnf_transformation,[],[f94])). 36.97/6.53 36.97/6.53 fof(f99,plain,( 36.97/6.53 ( ! [X0,X1] : (~end_point(X0,X1) | ~inner_point(X0,X1)) )), 36.97/6.53 inference(cnf_transformation,[],[f63])). 36.97/6.53 36.97/6.53 fof(f101,plain,( 36.97/6.53 ( ! [X0,X1] : (inner_point(X0,X1) | ~incident_c(X0,X1) | end_point(X0,X1)) )), 36.97/6.53 inference(cnf_transformation,[],[f63])). 36.97/6.53 36.97/6.53 fof(f138,plain,( 36.97/6.53 ~inner_point(sK14,sK13)), 36.97/6.53 inference(cnf_transformation,[],[f94])). 36.97/6.53 36.97/6.53 fof(f137,plain,( 36.97/6.53 part_of(sK15,sK13)), 36.97/6.53 inference(cnf_transformation,[],[f94])). 36.97/6.53 36.97/6.53 cnf(c_51,plain, 36.97/6.53 ( incident_c(sK0(X0,X1),X1) | part_of(X1,X0) ), 36.97/6.53 inference(cnf_transformation,[],[f95]) ). 36.97/6.53 36.97/6.53 cnf(c_49,plain, 36.97/6.53 ( ~ incident_c(X0,X1) | ~ part_of(X1,X2) | incident_c(X0,X2) ), 36.97/6.53 inference(cnf_transformation,[],[f97]) ). 36.97/6.53 36.97/6.53 cnf(c_2081,plain, 36.97/6.53 ( ~ part_of(X0,X1) | incident_c(sK0(X2,X0),X1) | part_of(X0,X2) ), 36.97/6.53 inference(superposition,[status(thm)],[c_51,c_49]) ). 36.97/6.53 36.97/6.53 cnf(c_2458,plain, 36.97/6.53 ( ~ part_of(X0,X1) 36.97/6.53 | ~ part_of(X1,X2) 36.97/6.53 | incident_c(sK0(X3,X0),X2) 36.97/6.53 | part_of(X0,X3) ), 36.97/6.53 inference(superposition,[status(thm)],[c_2081,c_49]) ). 36.97/6.53 36.97/6.53 cnf(c_22003,plain, 36.97/6.53 ( ~ part_of(sK11(sK14,sK15),X0) 36.97/6.53 | ~ part_of(X0,X1) 36.97/6.53 | incident_c(sK0(X2,sK11(sK14,sK15)),X1) 36.97/6.53 | part_of(sK11(sK14,sK15),X2) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_2458]) ). 36.97/6.53 36.97/6.53 cnf(c_23643,plain, 36.97/6.53 ( ~ part_of(sK11(sK14,sK15),sK15) 36.97/6.53 | ~ part_of(sK15,X0) 36.97/6.53 | incident_c(sK0(X1,sK11(sK14,sK15)),X0) 36.97/6.53 | part_of(sK11(sK14,sK15),X1) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_22003]) ). 36.97/6.53 36.97/6.53 cnf(c_23644,plain, 36.97/6.53 ( ~ part_of(sK11(sK14,sK15),sK15) 36.97/6.53 | ~ part_of(sK15,sK13) 36.97/6.53 | incident_c(sK0(sK13,sK11(sK14,sK15)),sK13) 36.97/6.53 | part_of(sK11(sK14,sK15),sK13) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_23643]) ). 36.97/6.53 36.97/6.53 cnf(c_19418,plain, 36.97/6.53 ( ~ part_of(sK12(sK14,sK15),X0) 36.97/6.53 | ~ part_of(X0,X1) 36.97/6.53 | incident_c(sK0(X2,sK12(sK14,sK15)),X1) 36.97/6.53 | part_of(sK12(sK14,sK15),X2) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_2458]) ). 36.97/6.53 36.97/6.53 cnf(c_19616,plain, 36.97/6.53 ( ~ part_of(sK12(sK14,sK15),sK15) 36.97/6.53 | ~ part_of(sK15,X0) 36.97/6.53 | incident_c(sK0(X1,sK12(sK14,sK15)),X0) 36.97/6.53 | part_of(sK12(sK14,sK15),X1) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_19418]) ). 36.97/6.53 36.97/6.53 cnf(c_19617,plain, 36.97/6.53 ( ~ part_of(sK12(sK14,sK15),sK15) 36.97/6.53 | ~ part_of(sK15,sK13) 36.97/6.53 | incident_c(sK0(sK13,sK12(sK14,sK15)),sK13) 36.97/6.53 | part_of(sK12(sK14,sK15),sK13) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_19616]) ). 36.97/6.53 36.97/6.53 cnf(c_50,plain, 36.97/6.53 ( ~ incident_c(sK0(X0,X1),X0) | part_of(X1,X0) ), 36.97/6.53 inference(cnf_transformation,[],[f96]) ). 36.97/6.53 36.97/6.53 cnf(c_4366,plain, 36.97/6.53 ( ~ incident_c(sK0(sK13,sK11(sK14,sK15)),sK13) 36.97/6.53 | part_of(sK11(sK14,sK15),sK13) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_50]) ). 36.97/6.53 36.97/6.53 cnf(c_4206,plain, 36.97/6.53 ( ~ incident_c(sK0(sK13,sK12(sK14,sK15)),sK13) 36.97/6.53 | part_of(sK12(sK14,sK15),sK13) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_50]) ). 36.97/6.53 36.97/6.53 cnf(c_82,plain, 36.97/6.53 ( ~ incident_c(X0,X1) 36.97/6.53 | ~ incident_c(X0,X2) 36.97/6.53 | ~ part_of(X1,X3) 36.97/6.53 | ~ part_of(X2,X3) 36.97/6.53 | ~ end_point(X0,X3) 36.97/6.53 | part_of(X1,X2) 36.97/6.53 | part_of(X2,X1) ), 36.97/6.53 inference(cnf_transformation,[],[f135]) ). 36.97/6.53 36.97/6.53 cnf(c_4038,plain, 36.97/6.53 ( ~ incident_c(sK14,X0) 36.97/6.53 | ~ incident_c(sK14,X1) 36.97/6.53 | ~ part_of(X0,sK13) 36.97/6.53 | ~ part_of(X1,sK13) 36.97/6.53 | ~ end_point(sK14,sK13) 36.97/6.53 | part_of(X0,X1) 36.97/6.53 | part_of(X1,X0) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_82]) ). 36.97/6.53 36.97/6.53 cnf(c_4066,plain, 36.97/6.53 ( ~ incident_c(sK14,sK11(sK14,sK15)) 36.97/6.53 | ~ incident_c(sK14,sK12(sK14,sK15)) 36.97/6.53 | ~ part_of(sK11(sK14,sK15),sK13) 36.97/6.53 | ~ part_of(sK12(sK14,sK15),sK13) 36.97/6.53 | ~ end_point(sK14,sK13) 36.97/6.53 | part_of(sK11(sK14,sK15),sK12(sK14,sK15)) 36.97/6.53 | part_of(sK12(sK14,sK15),sK11(sK14,sK15)) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_4038]) ). 36.97/6.53 36.97/6.53 cnf(c_88,plain, 36.97/6.53 ( ~ incident_c(X0,X1) 36.97/6.53 | incident_c(X0,sK12(X0,X1)) 36.97/6.53 | end_point(X0,X1) ), 36.97/6.53 inference(cnf_transformation,[],[f129]) ). 36.97/6.53 36.97/6.53 cnf(c_1243,plain, 36.97/6.53 ( ~ incident_c(sK14,sK15) 36.97/6.53 | incident_c(sK14,sK12(sK14,sK15)) 36.97/6.53 | end_point(sK14,sK15) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_88]) ). 36.97/6.53 36.97/6.53 cnf(c_87,plain, 36.97/6.53 ( ~ incident_c(X0,X1) 36.97/6.53 | incident_c(X0,sK11(X0,X1)) 36.97/6.53 | end_point(X0,X1) ), 36.97/6.53 inference(cnf_transformation,[],[f130]) ). 36.97/6.53 36.97/6.53 cnf(c_1244,plain, 36.97/6.53 ( ~ incident_c(sK14,sK15) 36.97/6.53 | incident_c(sK14,sK11(sK14,sK15)) 36.97/6.53 | end_point(sK14,sK15) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_87]) ). 36.97/6.53 36.97/6.53 cnf(c_85,plain, 36.97/6.53 ( ~ part_of(sK12(X0,X1),sK11(X0,X1)) 36.97/6.53 | ~ incident_c(X0,X1) 36.97/6.53 | end_point(X0,X1) ), 36.97/6.53 inference(cnf_transformation,[],[f132]) ). 36.97/6.53 36.97/6.53 cnf(c_1224,plain, 36.97/6.53 ( ~ part_of(sK12(sK14,sK15),sK11(sK14,sK15)) 36.97/6.53 | ~ incident_c(sK14,sK15) 36.97/6.53 | end_point(sK14,sK15) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_85]) ). 36.97/6.53 36.97/6.53 cnf(c_84,plain, 36.97/6.53 ( ~ part_of(sK11(X0,X1),sK12(X0,X1)) 36.97/6.53 | ~ incident_c(X0,X1) 36.97/6.53 | end_point(X0,X1) ), 36.97/6.53 inference(cnf_transformation,[],[f133]) ). 36.97/6.53 36.97/6.53 cnf(c_1225,plain, 36.97/6.53 ( ~ part_of(sK11(sK14,sK15),sK12(sK14,sK15)) 36.97/6.53 | ~ incident_c(sK14,sK15) 36.97/6.53 | end_point(sK14,sK15) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_84]) ). 36.97/6.53 36.97/6.53 cnf(c_89,plain, 36.97/6.53 ( ~ incident_c(X0,X1) 36.97/6.53 | part_of(sK11(X0,X1),X1) 36.97/6.53 | end_point(X0,X1) ), 36.97/6.53 inference(cnf_transformation,[],[f128]) ). 36.97/6.53 36.97/6.53 cnf(c_1226,plain, 36.97/6.53 ( ~ incident_c(sK14,sK15) 36.97/6.53 | part_of(sK11(sK14,sK15),sK15) 36.97/6.53 | end_point(sK14,sK15) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_89]) ). 36.97/6.53 36.97/6.53 cnf(c_86,plain, 36.97/6.53 ( ~ incident_c(X0,X1) 36.97/6.53 | part_of(sK12(X0,X1),X1) 36.97/6.53 | end_point(X0,X1) ), 36.97/6.53 inference(cnf_transformation,[],[f131]) ). 36.97/6.53 36.97/6.53 cnf(c_1227,plain, 36.97/6.53 ( ~ incident_c(sK14,sK15) 36.97/6.53 | part_of(sK12(sK14,sK15),sK15) 36.97/6.53 | end_point(sK14,sK15) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_86]) ). 36.97/6.53 36.97/6.53 cnf(c_1229,plain, 36.97/6.53 ( ~ part_of(sK15,X0) 36.97/6.53 | ~ incident_c(sK14,sK15) 36.97/6.53 | incident_c(sK14,X0) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_49]) ). 36.97/6.53 36.97/6.53 cnf(c_1230,plain, 36.97/6.53 ( ~ incident_c(sK14,sK15) 36.97/6.53 | ~ part_of(sK15,sK13) 36.97/6.53 | incident_c(sK14,sK13) ), 36.97/6.53 inference(instantiation,[status(thm)],[c_1229]) ). 36.97/6.53 36.97/6.53 cnf(c_54,plain, 36.97/6.53 ( ~ inner_point(X0,X1) | incident_c(X0,X1) ), 36.97/6.53 inference(cnf_transformation,[],[f100]) ). 36.97/6.53 36.97/6.53 cnf(c_92,negated_conjecture, 36.97/6.53 ( inner_point(sK14,sK15) ), 36.97/6.53 inference(cnf_transformation,[],[f136]) ). 36.97/6.53 36.97/6.53 cnf(c_507,plain, 36.97/6.53 ( X0 != sK14 | X1 != sK15 | incident_c(X0,X1) ), 36.97/6.53 inference(resolution_lifted,[status(thm)],[c_54,c_92]) ). 36.97/6.53 36.97/6.53 cnf(c_508,plain, 36.97/6.53 ( incident_c(sK14,sK15) ), 36.97/6.53 inference(unflattening,[status(thm)],[c_507]) ). 36.97/6.53 36.97/6.53 cnf(c_55,plain, 36.97/6.53 ( ~ inner_point(X0,X1) | ~ end_point(X0,X1) ), 36.97/6.53 inference(cnf_transformation,[],[f99]) ). 36.97/6.53 36.97/6.53 cnf(c_502,plain, 36.97/6.53 ( X0 != sK14 | X1 != sK15 | ~ end_point(X0,X1) ), 36.97/6.53 inference(resolution_lifted,[status(thm)],[c_55,c_92]) ). 36.97/6.53 36.97/6.53 cnf(c_503,plain, 36.97/6.53 ( ~ end_point(sK14,sK15) ), 36.97/6.53 inference(unflattening,[status(thm)],[c_502]) ). 36.97/6.53 36.97/6.53 cnf(c_53,plain, 36.97/6.53 ( ~ incident_c(X0,X1) | inner_point(X0,X1) | end_point(X0,X1) ), 36.97/6.53 inference(cnf_transformation,[],[f101]) ). 36.97/6.53 36.97/6.53 cnf(c_90,negated_conjecture, 36.97/6.53 ( ~ inner_point(sK14,sK13) ), 36.97/6.53 inference(cnf_transformation,[],[f138]) ). 36.97/6.53 36.97/6.53 cnf(c_484,plain, 36.97/6.53 ( X0 != sK14 36.97/6.53 | X1 != sK13 36.97/6.53 | ~ incident_c(X0,X1) 36.97/6.53 | end_point(X0,X1) ), 36.97/6.53 inference(resolution_lifted,[status(thm)],[c_53,c_90]) ). 36.97/6.53 36.97/6.53 cnf(c_485,plain, 36.97/6.53 ( ~ incident_c(sK14,sK13) | end_point(sK14,sK13) ), 36.97/6.53 inference(unflattening,[status(thm)],[c_484]) ). 36.97/6.53 36.97/6.53 cnf(c_91,negated_conjecture, 36.97/6.53 ( part_of(sK15,sK13) ), 36.97/6.53 inference(cnf_transformation,[],[f137]) ). 36.97/6.53 36.97/6.53 cnf(contradiction,plain, 36.97/6.53 ( $false ), 36.97/6.53 inference(minisat, 36.97/6.53 [status(thm)], 36.97/6.53 [c_23644,c_19617,c_4366,c_4206,c_4066,c_1243,c_1244, 36.97/6.53 c_1224,c_1225,c_1226,c_1227,c_1230,c_508,c_503,c_485, 36.97/6.53 c_91]) ). 36.97/6.53 36.97/6.53 36.97/6.53 % SZS output end CNFRefutation for theBenchmark.p 36.97/6.53 36.97/6.53 ------ Statistics 36.97/6.53 36.97/6.53 ------ Selected 36.97/6.53 36.97/6.53 total_time: 0.675 36.97/6.53 36.97/6.55 EOF