0.00/0.08 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.10 % 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 0.09/0.30 % Computer : n010.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Tue Aug 9 05:43:50 EDT 2022 0.09/0.30 % CPUTime : 411.07/54.61 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p 411.07/54.61 411.07/54.61 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 411.07/54.61 411.07/54.61 ------ iProver source info 411.07/54.61 411.07/54.61 git: date: 2022-07-26 19:47:37 +0300 411.07/54.61 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 411.07/54.61 git: non_committed_changes: false 411.07/54.61 git: last_make_outside_of_git: false 411.07/54.61 411.07/54.61 ------ Parsing... 411.07/54.61 ------ Clausification by vclausify_rel & Parsing by iProver... 411.07/54.61 411.07/54.61 ------ Preprocessing... 411.07/54.61 411.07/54.61 ------ Preprocessing... 411.07/54.61 411.07/54.61 ------ Preprocessing... 411.07/54.61 ------ Proving... 411.07/54.61 ------ Problem Properties 411.07/54.61 411.07/54.61 411.07/54.61 clauses 30 411.07/54.61 conjectures 3 411.07/54.61 EPR 5 411.07/54.61 Horn 25 411.07/54.61 unary 7 411.07/54.61 binary 15 411.07/54.61 lits 61 411.07/54.61 lits eq 3 411.07/54.61 fd_pure 0 411.07/54.61 fd_pseudo 0 411.07/54.61 fd_cond 0 411.07/54.61 fd_pseudo_cond 2 411.07/54.61 AC symbols 0 411.07/54.61 411.07/54.61 ------ Input Options Time Limit: Unbounded 411.07/54.61 411.07/54.61 411.07/54.61 ------ 411.07/54.61 Current options: 411.07/54.61 ------ 411.07/54.61 411.07/54.61 411.07/54.61 411.07/54.61 411.07/54.61 ------ Proving... 411.07/54.61 411.07/54.61 411.07/54.61 % SZS status Theorem for theBenchmark.p 411.07/54.61 411.07/54.61 % SZS output start CNFRefutation for theBenchmark.p 411.07/54.61 411.07/54.61 fof(f10,axiom,( 411.07/54.61 ! [X0,X1,X3] : (member(X0,union(X1,X3)) <=> (member(X0,X1) | member(X0,X3)))), 411.07/54.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',union)). 411.07/54.61 411.07/54.61 fof(f18,plain,( 411.07/54.61 ! [X0,X1,X2] : (member(X0,union(X1,X2)) <=> (member(X0,X1) | member(X0,X2)))), 411.07/54.61 inference(rectify,[],[f10])). 411.07/54.61 411.07/54.61 fof(f46,plain,( 411.07/54.61 ! [X0,X1,X2] : ((member(X0,union(X1,X2)) | (~member(X0,X1) & ~member(X0,X2))) & ((member(X0,X1) | member(X0,X2)) | ~member(X0,union(X1,X2))))), 411.07/54.61 inference(nnf_transformation,[],[f18])). 411.07/54.61 411.07/54.61 fof(f47,plain,( 411.07/54.61 ! [X0,X1,X2] : ((member(X0,union(X1,X2)) | (~member(X0,X1) & ~member(X0,X2))) & (member(X0,X1) | member(X0,X2) | ~member(X0,union(X1,X2))))), 411.07/54.61 inference(flattening,[],[f46])). 411.07/54.61 411.07/54.61 fof(f73,plain,( 411.07/54.61 ( ! [X2,X0,X1] : (member(X0,X1) | member(X0,X2) | ~member(X0,union(X1,X2))) )), 411.07/54.61 inference(cnf_transformation,[],[f47])). 411.07/54.61 411.07/54.61 fof(f7,axiom,( 411.07/54.61 ! [X0,X1] : (subset(X0,X1) <=> member(X0,power_set(X1)))), 411.07/54.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_set)). 411.07/54.61 411.07/54.61 fof(f39,plain,( 411.07/54.61 ! [X0,X1] : ((subset(X0,X1) | ~member(X0,power_set(X1))) & (member(X0,power_set(X1)) | ~subset(X0,X1)))), 411.07/54.61 inference(nnf_transformation,[],[f7])). 411.07/54.61 411.07/54.61 fof(f66,plain,( 411.07/54.61 ( ! [X0,X1] : (subset(X0,X1) | ~member(X0,power_set(X1))) )), 411.07/54.61 inference(cnf_transformation,[],[f39])). 411.07/54.61 411.07/54.61 fof(f3,axiom,( 411.07/54.61 ! [X1,X3] : ((subset(X3,X1) & subset(X1,X3)) <=> equal_set(X1,X3))), 411.07/54.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set)). 411.07/54.61 411.07/54.61 fof(f14,plain,( 411.07/54.61 ! [X0,X1] : ((subset(X1,X0) & subset(X0,X1)) <=> equal_set(X0,X1))), 411.07/54.61 inference(rectify,[],[f3])). 411.07/54.61 411.07/54.61 fof(f21,plain,( 411.07/54.61 ! [X0,X1] : ((subset(X1,X0) & subset(X0,X1)) => equal_set(X0,X1))), 411.07/54.61 inference(unused_predicate_definition_removal,[],[f14])). 411.07/54.61 411.07/54.61 fof(f23,plain,( 411.07/54.61 ! [X0,X1] : (equal_set(X0,X1) | (~subset(X1,X0) | ~subset(X0,X1)))), 411.07/54.61 inference(ennf_transformation,[],[f21])). 411.07/54.61 411.07/54.61 fof(f24,plain,( 411.07/54.61 ! [X0,X1] : (equal_set(X0,X1) | ~subset(X1,X0) | ~subset(X0,X1))), 411.07/54.61 inference(flattening,[],[f23])). 411.07/54.61 411.07/54.61 fof(f57,plain,( 411.07/54.61 ( ! [X0,X1] : (equal_set(X0,X1) | ~subset(X1,X0) | ~subset(X0,X1)) )), 411.07/54.61 inference(cnf_transformation,[],[f24])). 411.07/54.61 411.07/54.61 fof(f12,conjecture,( 411.07/54.61 ! [X1,X3,X4] : ((subset(X3,X4) & subset(X1,X4)) => equal_set(difference(X4,union(X1,X3)),intersection(difference(X4,X1),difference(X4,X3))))), 411.07/54.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI26)). 411.07/54.61 411.07/54.61 fof(f13,negated_conjecture,( 411.07/54.61 ~! [X1,X3,X4] : ((subset(X3,X4) & subset(X1,X4)) => equal_set(difference(X4,union(X1,X3)),intersection(difference(X4,X1),difference(X4,X3))))), 411.07/54.61 inference(negated_conjecture,[],[f12])). 411.07/54.61 411.07/54.61 fof(f20,plain,( 411.07/54.61 ~! [X0,X1,X2] : ((subset(X1,X2) & subset(X0,X2)) => equal_set(difference(X2,union(X0,X1)),intersection(difference(X2,X0),difference(X2,X1))))), 411.07/54.61 inference(rectify,[],[f13])). 411.07/54.61 411.07/54.61 fof(f26,plain,( 411.07/54.61 ? [X0,X1,X2] : (~equal_set(difference(X2,union(X0,X1)),intersection(difference(X2,X0),difference(X2,X1))) & (subset(X1,X2) & subset(X0,X2)))), 411.07/54.61 inference(ennf_transformation,[],[f20])). 411.07/54.61 411.07/54.61 fof(f27,plain,( 411.07/54.61 ? [X0,X1,X2] : (~equal_set(difference(X2,union(X0,X1)),intersection(difference(X2,X0),difference(X2,X1))) & subset(X1,X2) & subset(X0,X2))), 411.07/54.61 inference(flattening,[],[f26])). 411.07/54.61 411.07/54.61 fof(f50,plain,( 411.07/54.61 ? [X0,X1,X2] : (~equal_set(difference(X2,union(X0,X1)),intersection(difference(X2,X0),difference(X2,X1))) & subset(X1,X2) & subset(X0,X2)) => (~equal_set(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) & subset(sK4,sK5) & subset(sK3,sK5))), 411.07/54.61 introduced(choice_axiom,[])). 411.07/54.61 411.07/54.61 fof(f51,plain,( 411.07/54.61 ~equal_set(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) & subset(sK4,sK5) & subset(sK3,sK5)), 411.07/54.61 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f27,f50])). 411.07/54.61 411.07/54.61 fof(f81,plain,( 411.07/54.61 ~equal_set(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4)))), 411.07/54.61 inference(cnf_transformation,[],[f51])). 411.07/54.61 411.07/54.61 fof(f8,axiom,( 411.07/54.61 ! [X1,X3] : (subset(X1,X3) <=> ! [X0] : (member(X0,X1) => member(X0,X3)))), 411.07/54.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset)). 411.07/54.61 411.07/54.61 fof(f16,plain,( 411.07/54.61 ! [X0,X1] : (subset(X0,X1) <=> ! [X2] : (member(X2,X0) => member(X2,X1)))), 411.07/54.61 inference(rectify,[],[f8])). 411.07/54.61 411.07/54.61 fof(f25,plain,( 411.07/54.61 ! [X0,X1] : (subset(X0,X1) <=> ! [X2] : (member(X2,X1) | ~member(X2,X0)))), 411.07/54.61 inference(ennf_transformation,[],[f16])). 411.07/54.61 411.07/54.61 fof(f40,plain,( 411.07/54.61 ! [X0,X1] : ((subset(X0,X1) | ? [X2] : (~member(X2,X1) & member(X2,X0))) & (! [X2] : (member(X2,X1) | ~member(X2,X0)) | ~subset(X0,X1)))), 411.07/54.61 inference(nnf_transformation,[],[f25])). 411.07/54.61 411.07/54.61 fof(f41,plain,( 411.07/54.61 ! [X0,X1] : ((subset(X0,X1) | ? [X2] : (~member(X2,X1) & member(X2,X0))) & (! [X3] : (member(X3,X1) | ~member(X3,X0)) | ~subset(X0,X1)))), 411.07/54.61 inference(rectify,[],[f40])). 411.07/54.61 411.07/54.61 fof(f42,plain,( 411.07/54.61 ! [X0,X1] : (? [X2] : (~member(X2,X1) & member(X2,X0)) => (~member(sK2(X0,X1),X1) & member(sK2(X0,X1),X0)))), 411.07/54.61 introduced(choice_axiom,[])). 411.07/54.61 411.07/54.61 fof(f43,plain,( 411.07/54.61 ! [X0,X1] : ((subset(X0,X1) | (~member(sK2(X0,X1),X1) & member(sK2(X0,X1),X0))) & (! [X3] : (member(X3,X1) | ~member(X3,X0)) | ~subset(X0,X1)))), 411.07/54.61 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f41,f42])). 411.07/54.61 411.07/54.61 fof(f68,plain,( 411.07/54.61 ( ! [X0,X1] : (subset(X0,X1) | member(sK2(X0,X1),X0)) )), 411.07/54.61 inference(cnf_transformation,[],[f43])). 411.07/54.61 411.07/54.61 fof(f9,axiom,( 411.07/54.61 ! [X0,X1,X3] : ((member(X0,X1) & member(X0,X3)) <=> member(X0,intersection(X1,X3)))), 411.07/54.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection)). 411.07/54.61 411.07/54.61 fof(f17,plain,( 411.07/54.61 ! [X0,X1,X2] : ((member(X0,X1) & member(X0,X2)) <=> member(X0,intersection(X1,X2)))), 411.07/54.61 inference(rectify,[],[f9])). 411.07/54.61 411.07/54.61 fof(f44,plain,( 411.07/54.61 ! [X0,X1,X2] : (((member(X0,X1) & member(X0,X2)) | ~member(X0,intersection(X1,X2))) & (member(X0,intersection(X1,X2)) | (~member(X0,X1) | ~member(X0,X2))))), 411.07/54.61 inference(nnf_transformation,[],[f17])). 411.07/54.61 411.07/54.61 fof(f45,plain,( 411.07/54.61 ! [X0,X1,X2] : (((member(X0,X1) & member(X0,X2)) | ~member(X0,intersection(X1,X2))) & (member(X0,intersection(X1,X2)) | ~member(X0,X1) | ~member(X0,X2)))), 411.07/54.61 inference(flattening,[],[f44])). 411.07/54.61 411.07/54.61 fof(f72,plain,( 411.07/54.61 ( ! [X2,X0,X1] : (member(X0,X1) | ~member(X0,intersection(X1,X2))) )), 411.07/54.61 inference(cnf_transformation,[],[f45])). 411.07/54.61 411.07/54.61 fof(f11,axiom,( 411.07/54.61 ! [X3,X1,X4] : ((member(X3,X4) & ~member(X3,X1)) <=> member(X3,difference(X4,X1)))), 411.07/54.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference)). 411.07/54.61 411.07/54.61 fof(f19,plain,( 411.07/54.61 ! [X0,X1,X2] : ((member(X0,X2) & ~member(X0,X1)) <=> member(X0,difference(X2,X1)))), 411.07/54.61 inference(rectify,[],[f11])). 411.07/54.61 411.07/54.61 fof(f48,plain,( 411.07/54.61 ! [X0,X1,X2] : (((member(X0,X2) & ~member(X0,X1)) | ~member(X0,difference(X2,X1))) & (member(X0,difference(X2,X1)) | (~member(X0,X2) | member(X0,X1))))), 411.07/54.61 inference(nnf_transformation,[],[f19])). 411.07/54.61 411.07/54.61 fof(f49,plain,( 411.07/54.61 ! [X0,X1,X2] : (((member(X0,X2) & ~member(X0,X1)) | ~member(X0,difference(X2,X1))) & (member(X0,difference(X2,X1)) | ~member(X0,X2) | member(X0,X1)))), 411.07/54.61 inference(flattening,[],[f48])). 411.07/54.61 411.07/54.61 fof(f77,plain,( 411.07/54.61 ( ! [X2,X0,X1] : (~member(X0,X1) | ~member(X0,difference(X2,X1))) )), 411.07/54.61 inference(cnf_transformation,[],[f49])). 411.07/54.61 411.07/54.61 fof(f1,axiom,( 411.07/54.61 ! [X0,X1] : (! [X2] : (member(X2,X1) => member(X0,X2)) <=> member(X0,product(X1)))), 411.07/54.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',product)). 411.07/54.61 411.07/54.61 fof(f22,plain,( 411.07/54.61 ! [X0,X1] : (! [X2] : (member(X0,X2) | ~member(X2,X1)) <=> member(X0,product(X1)))), 411.07/54.61 inference(ennf_transformation,[],[f1])). 411.07/54.61 411.07/54.61 fof(f28,plain,( 411.07/54.61 ! [X0,X1] : ((! [X2] : (member(X0,X2) | ~member(X2,X1)) | ~member(X0,product(X1))) & (member(X0,product(X1)) | ? [X2] : (~member(X0,X2) & member(X2,X1))))), 411.07/54.61 inference(nnf_transformation,[],[f22])). 411.07/54.61 411.07/54.61 fof(f29,plain,( 411.07/54.61 ! [X0,X1] : ((! [X2] : (member(X0,X2) | ~member(X2,X1)) | ~member(X0,product(X1))) & (member(X0,product(X1)) | ? [X3] : (~member(X0,X3) & member(X3,X1))))), 411.07/54.61 inference(rectify,[],[f28])). 411.07/54.61 411.07/54.61 fof(f30,plain,( 411.07/54.61 ! [X0,X1] : (? [X3] : (~member(X0,X3) & member(X3,X1)) => (~member(X0,sK0(X0,X1)) & member(sK0(X0,X1),X1)))), 411.07/54.61 introduced(choice_axiom,[])). 411.07/54.61 411.07/54.61 fof(f31,plain,( 411.07/54.61 ! [X0,X1] : ((! [X2] : (member(X0,X2) | ~member(X2,X1)) | ~member(X0,product(X1))) & (member(X0,product(X1)) | (~member(X0,sK0(X0,X1)) & member(sK0(X0,X1),X1))))), 411.07/54.61 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f29,f30])). 411.07/54.61 411.07/54.61 fof(f54,plain,( 411.07/54.61 ( ! [X2,X0,X1] : (member(X0,X2) | ~member(X2,X1) | ~member(X0,product(X1))) )), 411.07/54.61 inference(cnf_transformation,[],[f31])). 411.07/54.61 411.07/54.61 fof(f69,plain,( 411.07/54.61 ( ! [X0,X1] : (subset(X0,X1) | ~member(sK2(X0,X1),X1)) )), 411.07/54.61 inference(cnf_transformation,[],[f43])). 411.07/54.61 411.07/54.61 fof(f70,plain,( 411.07/54.61 ( ! [X2,X0,X1] : (member(X0,intersection(X1,X2)) | ~member(X0,X1) | ~member(X0,X2)) )), 411.07/54.61 inference(cnf_transformation,[],[f45])). 411.07/54.61 411.07/54.61 fof(f65,plain,( 411.07/54.61 ( ! [X0,X1] : (member(X0,power_set(X1)) | ~subset(X0,X1)) )), 411.07/54.61 inference(cnf_transformation,[],[f39])). 411.07/54.61 411.07/54.61 fof(f74,plain,( 411.07/54.61 ( ! [X2,X0,X1] : (member(X0,union(X1,X2)) | ~member(X0,X2)) )), 411.07/54.61 inference(cnf_transformation,[],[f47])). 411.07/54.61 411.07/54.61 fof(f75,plain,( 411.07/54.61 ( ! [X2,X0,X1] : (member(X0,union(X1,X2)) | ~member(X0,X1)) )), 411.07/54.61 inference(cnf_transformation,[],[f47])). 411.07/54.61 411.07/54.61 fof(f76,plain,( 411.07/54.61 ( ! [X2,X0,X1] : (member(X0,difference(X2,X1)) | ~member(X0,X2) | member(X0,X1)) )), 411.07/54.61 inference(cnf_transformation,[],[f49])). 411.07/54.61 411.07/54.61 fof(f78,plain,( 411.07/54.61 ( ! [X2,X0,X1] : (member(X0,X2) | ~member(X0,difference(X2,X1))) )), 411.07/54.61 inference(cnf_transformation,[],[f49])). 411.07/54.61 411.07/54.61 fof(f71,plain,( 411.07/54.61 ( ! [X2,X0,X1] : (member(X0,X2) | ~member(X0,intersection(X1,X2))) )), 411.07/54.61 inference(cnf_transformation,[],[f45])). 411.07/54.61 411.07/54.61 cnf(c_72,plain, 411.07/54.61 ( ~ member(X0,union(X1,X2)) | member(X0,X1) | member(X0,X2) ), 411.07/54.61 inference(cnf_transformation,[],[f73]) ). 411.07/54.61 411.07/54.61 cnf(c_73825,plain, 411.07/54.61 ( ~ member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),union(sK3,X0)) 411.07/54.61 | member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),X0) 411.07/54.61 | member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK3) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_72]) ). 411.07/54.61 411.07/54.61 cnf(c_62,plain, 411.07/54.61 ( ~ member(X0,power_set(X1)) | subset(X0,X1) ), 411.07/54.61 inference(cnf_transformation,[],[f66]) ). 411.07/54.61 411.07/54.61 cnf(c_540,plain, 411.07/54.61 ( ~ member(difference(sK5,union(sK3,sK4)),power_set(intersection(difference(sK5,sK3),difference(sK5,sK4)))) 411.07/54.61 | subset(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_62]) ). 411.07/54.61 411.07/54.61 cnf(c_54,plain, 411.07/54.61 ( ~ subset(X0,X1) | ~ subset(X1,X0) | equal_set(X0,X1) ), 411.07/54.61 inference(cnf_transformation,[],[f57]) ). 411.07/54.61 411.07/54.61 cnf(c_1231,plain, 411.07/54.61 ( ~ subset(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))) 411.07/54.61 | ~ subset(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) 411.07/54.61 | equal_set(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_54]) ). 411.07/54.61 411.07/54.61 cnf(c_76,negated_conjecture, 411.07/54.61 ( ~ equal_set(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) ), 411.07/54.61 inference(cnf_transformation,[],[f81]) ). 411.07/54.61 411.07/54.61 cnf(c_414,plain, 411.07/54.61 ( ~ subset(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))) 411.07/54.61 | ~ subset(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) 411.07/54.61 | equal_set(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_54]) ). 411.07/54.61 411.07/54.61 cnf(c_1232,plain, 411.07/54.61 ( ~ subset(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) 411.07/54.61 | ~ subset(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))) ), 411.07/54.61 inference(global_propositional_subsumption, 411.07/54.61 [status(thm)], 411.07/54.61 [c_1231,c_76,c_414]) ). 411.07/54.61 411.07/54.61 cnf(c_1233,plain, 411.07/54.61 ( ~ subset(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))) 411.07/54.61 | ~ subset(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) ), 411.07/54.61 inference(renaming,[status(thm)],[c_1232]) ). 411.07/54.61 411.07/54.61 cnf(c_65,plain, 411.07/54.61 ( member(sK2(X0,X1),X0) | subset(X0,X1) ), 411.07/54.61 inference(cnf_transformation,[],[f68]) ). 411.07/54.61 411.07/54.61 cnf(c_67,plain, 411.07/54.61 ( ~ member(X0,intersection(X1,X2)) | member(X0,X1) ), 411.07/54.61 inference(cnf_transformation,[],[f72]) ). 411.07/54.61 411.07/54.61 cnf(c_440,plain, 411.07/54.61 ( member(sK2(intersection(X0,X1),X2),X0) 411.07/54.61 | subset(intersection(X0,X1),X2) ), 411.07/54.61 inference(superposition,[status(thm)],[c_65,c_67]) ). 411.07/54.61 411.07/54.61 cnf(c_74,plain, 411.07/54.61 ( ~ member(X0,difference(X1,X2)) | ~ member(X0,X2) ), 411.07/54.61 inference(cnf_transformation,[],[f77]) ). 411.07/54.61 411.07/54.61 cnf(c_1104,plain, 411.07/54.61 ( ~ member(sK2(intersection(difference(X0,X1),X2),X3),X1) 411.07/54.61 | subset(intersection(difference(X0,X1),X2),X3) ), 411.07/54.61 inference(superposition,[status(thm)],[c_440,c_74]) ). 411.07/54.61 411.07/54.61 cnf(c_13929,plain, 411.07/54.61 ( ~ member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK3) 411.07/54.61 | subset(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_1104]) ). 411.07/54.61 411.07/54.61 cnf(c_49,plain, 411.07/54.61 ( ~ member(X0,product(X1)) | ~ member(X2,X1) | member(X0,X2) ), 411.07/54.61 inference(cnf_transformation,[],[f54]) ). 411.07/54.61 411.07/54.61 cnf(c_34156,plain, 411.07/54.61 ( ~ member(power_set(intersection(difference(sK5,sK3),difference(sK5,sK4))),X0) 411.07/54.61 | ~ member(difference(sK5,union(sK3,sK4)),product(X0)) 411.07/54.61 | member(difference(sK5,union(sK3,sK4)),power_set(intersection(difference(sK5,sK3),difference(sK5,sK4)))) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_49]) ). 411.07/54.61 411.07/54.61 cnf(c_42009,plain, 411.07/54.61 ( ~ member(power_set(intersection(difference(sK5,sK3),difference(sK5,sK4))),product(X0)) 411.07/54.61 | ~ member(difference(sK5,union(sK3,sK4)),product(product(X0))) 411.07/54.61 | member(difference(sK5,union(sK3,sK4)),power_set(intersection(difference(sK5,sK3),difference(sK5,sK4)))) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_34156]) ). 411.07/54.61 411.07/54.61 cnf(c_64,plain, 411.07/54.61 ( ~ member(sK2(X0,X1),X1) | subset(X0,X1) ), 411.07/54.61 inference(cnf_transformation,[],[f69]) ). 411.07/54.61 411.07/54.61 cnf(c_539,plain, 411.07/54.61 ( ~ member(sK2(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),intersection(difference(sK5,sK3),difference(sK5,sK4))) 411.07/54.61 | subset(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_64]) ). 411.07/54.61 411.07/54.61 cnf(c_69,plain, 411.07/54.61 ( ~ member(X0,X1) 411.07/54.61 | ~ member(X0,X2) 411.07/54.61 | member(X0,intersection(X2,X1)) ), 411.07/54.61 inference(cnf_transformation,[],[f70]) ). 411.07/54.61 411.07/54.61 cnf(c_639,plain, 411.07/54.61 ( ~ member(sK2(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),difference(sK5,sK3)) 411.07/54.61 | ~ member(sK2(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),difference(sK5,sK4)) 411.07/54.61 | member(sK2(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),intersection(difference(sK5,sK3),difference(sK5,sK4))) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_69]) ). 411.07/54.61 411.07/54.61 cnf(c_63,plain, 411.07/54.61 ( ~ subset(X0,X1) | member(X0,power_set(X1)) ), 411.07/54.61 inference(cnf_transformation,[],[f65]) ). 411.07/54.61 411.07/54.61 cnf(c_654,plain, 411.07/54.61 ( ~ subset(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) 411.07/54.61 | member(difference(sK5,union(sK3,sK4)),power_set(intersection(difference(sK5,sK3),difference(sK5,sK4)))) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_63]) ). 411.07/54.61 411.07/54.61 cnf(c_506,plain, 411.07/54.61 ( ~ member(sK2(difference(X0,X1),X2),X1) 411.07/54.61 | subset(difference(X0,X1),X2) ), 411.07/54.61 inference(superposition,[status(thm)],[c_65,c_74]) ). 411.07/54.61 411.07/54.61 cnf(c_840,plain, 411.07/54.61 ( ~ member(sK2(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),union(sK3,sK4)) 411.07/54.61 | subset(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_506]) ). 411.07/54.61 411.07/54.61 cnf(c_71,plain, 411.07/54.61 ( ~ member(X0,X1) | member(X0,union(X2,X1)) ), 411.07/54.61 inference(cnf_transformation,[],[f74]) ). 411.07/54.61 411.07/54.61 cnf(c_1351,plain, 411.07/54.61 ( ~ member(sK2(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),sK4) 411.07/54.61 | member(sK2(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),union(sK3,sK4)) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_71]) ). 411.07/54.61 411.07/54.61 cnf(c_70,plain, 411.07/54.61 ( ~ member(X0,X1) | member(X0,union(X1,X2)) ), 411.07/54.61 inference(cnf_transformation,[],[f75]) ). 411.07/54.61 411.07/54.61 cnf(c_1352,plain, 411.07/54.61 ( ~ member(sK2(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),sK3) 411.07/54.61 | member(sK2(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),union(sK3,sK4)) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_70]) ). 411.07/54.61 411.07/54.61 cnf(c_75,plain, 411.07/54.61 ( ~ member(X0,X1) | member(X0,difference(X1,X2)) | member(X0,X2) ), 411.07/54.61 inference(cnf_transformation,[],[f76]) ). 411.07/54.61 411.07/54.61 cnf(c_7619,plain, 411.07/54.61 ( ~ member(sK2(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),sK5) 411.07/54.61 | member(sK2(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),difference(sK5,sK4)) 411.07/54.61 | member(sK2(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),sK4) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_75]) ). 411.07/54.61 411.07/54.61 cnf(c_73,plain, 411.07/54.61 ( ~ member(X0,difference(X1,X2)) | member(X0,X1) ), 411.07/54.61 inference(cnf_transformation,[],[f78]) ). 411.07/54.61 411.07/54.61 cnf(c_467,plain, 411.07/54.61 ( member(sK2(difference(X0,X1),X2),X0) 411.07/54.61 | subset(difference(X0,X1),X2) ), 411.07/54.61 inference(superposition,[status(thm)],[c_65,c_73]) ). 411.07/54.61 411.07/54.61 cnf(c_40122,plain, 411.07/54.61 ( member(sK2(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),sK5) 411.07/54.61 | subset(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_467]) ). 411.07/54.61 411.07/54.61 cnf(c_41996,plain, 411.07/54.61 ( ~ member(sK2(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),sK5) 411.07/54.61 | member(sK2(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),difference(sK5,sK3)) 411.07/54.61 | member(sK2(difference(sK5,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),sK3) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_75]) ). 411.07/54.61 411.07/54.61 cnf(c_42011,plain, 411.07/54.61 ( member(difference(sK5,union(sK3,sK4)),power_set(intersection(difference(sK5,sK3),difference(sK5,sK4)))) ), 411.07/54.61 inference(global_propositional_subsumption, 411.07/54.61 [status(thm)], 411.07/54.61 [c_42009,c_539,c_639,c_654,c_840,c_1351,c_1352,c_7619, 411.07/54.61 c_40122,c_41996]) ). 411.07/54.61 411.07/54.61 cnf(c_73836,plain, 411.07/54.61 ( member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),X0) 411.07/54.61 | ~ member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),union(sK3,X0)) ), 411.07/54.61 inference(global_propositional_subsumption, 411.07/54.61 [status(thm)], 411.07/54.61 [c_73825,c_76,c_414,c_539,c_639,c_840,c_1351,c_1352, 411.07/54.61 c_7619,c_13929,c_40122,c_41996]) ). 411.07/54.61 411.07/54.61 cnf(c_73837,plain, 411.07/54.61 ( ~ member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),union(sK3,X0)) 411.07/54.61 | member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),X0) ), 411.07/54.61 inference(renaming,[status(thm)],[c_73836]) ). 411.07/54.61 411.07/54.61 cnf(c_78233,plain, 411.07/54.61 ( ~ member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),union(sK3,sK4)) 411.07/54.61 | member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK4) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_73837]) ). 411.07/54.61 411.07/54.61 cnf(c_73178,plain, 411.07/54.61 ( ~ member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),difference(X0,X1)) 411.07/54.61 | ~ member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),X1) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_74]) ). 411.07/54.61 411.07/54.61 cnf(c_76333,plain, 411.07/54.61 ( ~ member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),difference(sK5,sK4)) 411.07/54.61 | ~ member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK4) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_73178]) ). 411.07/54.61 411.07/54.61 cnf(c_73485,plain, 411.07/54.61 ( ~ member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK5) 411.07/54.61 | member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),difference(sK5,union(sK3,sK4))) 411.07/54.61 | member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),union(sK3,sK4)) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_75]) ). 411.07/54.61 411.07/54.61 cnf(c_68,plain, 411.07/54.61 ( ~ member(X0,intersection(X1,X2)) | member(X0,X2) ), 411.07/54.61 inference(cnf_transformation,[],[f71]) ). 411.07/54.61 411.07/54.61 cnf(c_452,plain, 411.07/54.61 ( member(sK2(intersection(X0,X1),X2),X1) 411.07/54.61 | subset(intersection(X0,X1),X2) ), 411.07/54.61 inference(superposition,[status(thm)],[c_65,c_68]) ). 411.07/54.61 411.07/54.61 cnf(c_43293,plain, 411.07/54.61 ( member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),difference(sK5,sK4)) 411.07/54.61 | subset(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_452]) ). 411.07/54.61 411.07/54.61 cnf(c_1105,plain, 411.07/54.61 ( member(sK2(intersection(difference(X0,X1),X2),X3),X0) 411.07/54.61 | subset(intersection(difference(X0,X1),X2),X3) ), 411.07/54.61 inference(superposition,[status(thm)],[c_440,c_73]) ). 411.07/54.61 411.07/54.61 cnf(c_13930,plain, 411.07/54.61 ( member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),sK5) 411.07/54.61 | subset(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_1105]) ). 411.07/54.61 411.07/54.61 cnf(c_13927,plain, 411.07/54.61 ( ~ member(sK2(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))),difference(sK5,union(sK3,sK4))) 411.07/54.61 | subset(intersection(difference(sK5,sK3),difference(sK5,sK4)),difference(sK5,union(sK3,sK4))) ), 411.07/54.61 inference(instantiation,[status(thm)],[c_64]) ). 411.07/54.61 411.07/54.61 cnf(contradiction,plain, 411.07/54.61 ( $false ), 411.07/54.61 inference(minisat, 411.07/54.61 [status(thm)], 411.07/54.61 [c_78233,c_76333,c_73485,c_43293,c_42011,c_13930,c_13927, 411.07/54.61 c_1233,c_540]) ). 411.07/54.61 411.07/54.61 411.07/54.61 % SZS output end CNFRefutation for theBenchmark.p 411.07/54.61 411.07/54.61 ------ Statistics 411.07/54.61 411.07/54.61 ------ Selected 411.07/54.61 411.07/54.61 total_time: 2.638 411.07/54.61 411.07/54.64 EOF