0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.14 % 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 0.13/0.35 % Computer : n028.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Aug 9 03:40:35 EDT 2022 0.13/0.35 % CPUTime : 4.36/1.55 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p 4.36/1.55 4.36/1.55 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 4.36/1.55 4.36/1.55 ------ iProver source info 4.36/1.55 4.36/1.55 git: date: 2022-07-26 19:47:37 +0300 4.36/1.55 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 4.36/1.55 git: non_committed_changes: false 4.36/1.55 git: last_make_outside_of_git: false 4.36/1.55 4.36/1.55 ------ Parsing... 4.36/1.55 ------ Clausification by vclausify_rel & Parsing by iProver... 4.36/1.55 ------ Proving... 4.36/1.55 ------ Problem Properties 4.36/1.55 4.36/1.55 4.36/1.55 clauses 43 4.36/1.55 conjectures 1 4.36/1.55 EPR 16 4.36/1.55 Horn 39 4.36/1.55 unary 18 4.36/1.55 binary 13 4.36/1.55 lits 93 4.36/1.55 lits eq 0 4.36/1.55 fd_pure 0 4.36/1.55 fd_pseudo 0 4.36/1.55 fd_cond 0 4.36/1.55 fd_pseudo_cond 0 4.36/1.55 AC symbols 0 4.36/1.55 4.36/1.55 ------ Input Options Time Limit: Unbounded 4.36/1.55 4.36/1.55 4.36/1.55 ------ 4.36/1.55 Current options: 4.36/1.55 ------ 4.36/1.55 4.36/1.55 4.36/1.55 4.36/1.55 4.36/1.55 ------ Proving... 4.36/1.55 4.36/1.55 4.36/1.55 ------ Proving... 4.36/1.55 4.36/1.55 4.36/1.55 ------ Proving... 4.36/1.55 4.36/1.55 4.36/1.55 % SZS status Theorem for theBenchmark.p 4.36/1.55 4.36/1.55 % SZS output start CNFRefutation for theBenchmark.p 4.36/1.55 4.36/1.55 fof(f13,axiom,( 4.36/1.55 ! [X42,X43] : ? [X44] : (? [X46] : (id(X46,X44) & ? [X47] : (r4(X42,X47,X46) & r2(X43,X47))) & ? [X45] : (r4(X42,X43,X45) & r3(X45,X42,X44)))), 4.36/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a)). 4.36/1.55 4.36/1.55 fof(f32,plain,( 4.36/1.55 ! [X0,X1] : ? [X2] : (? [X3] : (id(X3,X2) & ? [X4] : (r4(X0,X4,X3) & r2(X1,X4))) & ? [X5] : (r4(X0,X1,X5) & r3(X5,X0,X2)))), 4.36/1.55 inference(rectify,[],[f13])). 4.36/1.55 4.36/1.55 fof(f62,plain,( 4.36/1.55 ! [X0,X1] : (? [X5] : (r4(X0,X1,X5) & r3(X5,X0,sK13(X0,X1))) => (r4(X0,X1,sK16(X0,X1)) & r3(sK16(X0,X1),X0,sK13(X0,X1))))), 4.36/1.55 introduced(choice_axiom,[])). 4.36/1.55 4.36/1.55 fof(f61,plain,( 4.36/1.55 ! [X0,X1] : (? [X4] : (r4(X0,X4,sK14(X0,X1)) & r2(X1,X4)) => (r4(X0,sK15(X0,X1),sK14(X0,X1)) & r2(X1,sK15(X0,X1))))), 4.36/1.55 introduced(choice_axiom,[])). 4.36/1.55 4.36/1.55 fof(f60,plain,( 4.36/1.55 ! [X0,X1] : (? [X3] : (id(X3,sK13(X0,X1)) & ? [X4] : (r4(X0,X4,X3) & r2(X1,X4))) => (id(sK14(X0,X1),sK13(X0,X1)) & ? [X4] : (r4(X0,X4,sK14(X0,X1)) & r2(X1,X4))))), 4.36/1.55 introduced(choice_axiom,[])). 4.36/1.55 4.36/1.55 fof(f59,plain,( 4.36/1.55 ! [X0,X1] : (? [X2] : (? [X3] : (id(X3,X2) & ? [X4] : (r4(X0,X4,X3) & r2(X1,X4))) & ? [X5] : (r4(X0,X1,X5) & r3(X5,X0,X2))) => (? [X3] : (id(X3,sK13(X0,X1)) & ? [X4] : (r4(X0,X4,X3) & r2(X1,X4))) & ? [X5] : (r4(X0,X1,X5) & r3(X5,X0,sK13(X0,X1)))))), 4.36/1.55 introduced(choice_axiom,[])). 4.36/1.55 4.36/1.55 fof(f63,plain,( 4.36/1.55 ! [X0,X1] : ((id(sK14(X0,X1),sK13(X0,X1)) & (r4(X0,sK15(X0,X1),sK14(X0,X1)) & r2(X1,sK15(X0,X1)))) & (r4(X0,X1,sK16(X0,X1)) & r3(sK16(X0,X1),X0,sK13(X0,X1))))), 4.36/1.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f32,f62,f61,f60,f59])). 4.36/1.55 4.36/1.55 fof(f105,plain,( 4.36/1.55 ( ! [X0,X1] : (r4(X0,X1,sK16(X0,X1))) )), 4.36/1.55 inference(cnf_transformation,[],[f63])). 4.36/1.55 4.36/1.55 fof(f4,axiom,( 4.36/1.55 ! [X7,X8] : ? [X9] : ! [X10] : ((~r4(X7,X8,X10) & ~id(X10,X9)) | (r4(X7,X8,X10) & id(X10,X9)))), 4.36/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4)). 4.36/1.55 4.36/1.55 fof(f23,plain,( 4.36/1.55 ! [X0,X1] : ? [X2] : ! [X3] : ((~r4(X0,X1,X3) & ~id(X3,X2)) | (r4(X0,X1,X3) & id(X3,X2)))), 4.36/1.55 inference(rectify,[],[f4])). 4.36/1.55 4.36/1.55 fof(f44,plain,( 4.36/1.55 ! [X0,X1] : (? [X2] : ! [X3] : ((~r4(X0,X1,X3) & ~id(X3,X2)) | (r4(X0,X1,X3) & id(X3,X2))) => ! [X3] : ((~r4(X0,X1,X3) & ~id(X3,sK2(X0,X1))) | (r4(X0,X1,X3) & id(X3,sK2(X0,X1)))))), 4.36/1.55 introduced(choice_axiom,[])). 4.36/1.55 4.36/1.55 fof(f45,plain,( 4.36/1.55 ! [X0,X1] : ! [X3] : ((~r4(X0,X1,X3) & ~id(X3,sK2(X0,X1))) | (r4(X0,X1,X3) & id(X3,sK2(X0,X1))))), 4.36/1.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f23,f44])). 4.36/1.55 4.36/1.55 fof(f79,plain,( 4.36/1.55 ( ! [X0,X3,X1] : (~r4(X0,X1,X3) | id(X3,sK2(X0,X1))) )), 4.36/1.55 inference(cnf_transformation,[],[f45])). 4.36/1.55 4.36/1.55 fof(f3,axiom,( 4.36/1.55 ? [X5] : ! [X6] : ((id(X6,X5) & r1(X6)) | (~r1(X6) & ~id(X6,X5)))), 4.36/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1)). 4.36/1.55 4.36/1.55 fof(f22,plain,( 4.36/1.55 ? [X0] : ! [X1] : ((id(X1,X0) & r1(X1)) | (~r1(X1) & ~id(X1,X0)))), 4.36/1.55 inference(rectify,[],[f3])). 4.36/1.55 4.36/1.55 fof(f42,plain,( 4.36/1.55 ? [X0] : ! [X1] : ((id(X1,X0) & r1(X1)) | (~r1(X1) & ~id(X1,X0))) => ! [X1] : ((id(X1,sK1) & r1(X1)) | (~r1(X1) & ~id(X1,sK1)))), 4.36/1.55 introduced(choice_axiom,[])). 4.36/1.55 4.36/1.55 fof(f43,plain,( 4.36/1.55 ! [X1] : ((id(X1,sK1) & r1(X1)) | (~r1(X1) & ~id(X1,sK1)))), 4.36/1.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f22,f42])). 4.36/1.55 4.36/1.55 fof(f76,plain,( 4.36/1.55 ( ! [X1] : (id(X1,sK1) | ~r1(X1)) )), 4.36/1.55 inference(cnf_transformation,[],[f43])). 4.36/1.55 4.36/1.55 fof(f15,axiom,( 4.36/1.55 ! [X52,X53,X54] : (id(X52,X54) | ~id(X53,X54) | ~id(X52,X53))), 4.36/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7)). 4.36/1.55 4.36/1.55 fof(f34,plain,( 4.36/1.55 ! [X0,X1,X2] : (id(X0,X2) | ~id(X1,X2) | ~id(X0,X1))), 4.36/1.55 inference(rectify,[],[f15])). 4.36/1.55 4.36/1.55 fof(f113,plain,( 4.36/1.55 ( ! [X2,X0,X1] : (id(X0,X2) | ~id(X1,X2) | ~id(X0,X1)) )), 4.36/1.55 inference(cnf_transformation,[],[f34])). 4.36/1.55 4.36/1.55 fof(f108,plain,( 4.36/1.55 ( ! [X0,X1] : (id(sK14(X0,X1),sK13(X0,X1))) )), 4.36/1.55 inference(cnf_transformation,[],[f63])). 4.36/1.55 4.36/1.55 fof(f1,axiom,( 4.36/1.55 ! [X0,X1] : (id(X1,X0) | ~id(X0,X1))), 4.36/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6)). 4.36/1.55 4.36/1.55 fof(f68,plain,( 4.36/1.55 ( ! [X0,X1] : (id(X1,X0) | ~id(X0,X1)) )), 4.36/1.55 inference(cnf_transformation,[],[f1])). 4.36/1.55 4.36/1.55 fof(f104,plain,( 4.36/1.55 ( ! [X0,X1] : (r3(sK16(X0,X1),X0,sK13(X0,X1))) )), 4.36/1.55 inference(cnf_transformation,[],[f63])). 4.36/1.55 4.36/1.55 fof(f12,axiom,( 4.36/1.55 ! [X36,X37,X38,X39,X40,X41] : (~id(X36,X39) | ~id(X37,X40) | ~id(X38,X41) | (r3(X36,X37,X38) & r3(X39,X40,X41)) | (~r3(X36,X37,X38) & ~r3(X39,X40,X41)))), 4.36/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10)). 4.36/1.55 4.36/1.55 fof(f31,plain,( 4.36/1.55 ! [X0,X1,X2,X3,X4,X5] : (~id(X0,X3) | ~id(X1,X4) | ~id(X2,X5) | (r3(X0,X1,X2) & r3(X3,X4,X5)) | (~r3(X0,X1,X2) & ~r3(X3,X4,X5)))), 4.36/1.55 inference(rectify,[],[f12])). 4.36/1.55 4.36/1.55 fof(f101,plain,( 4.36/1.55 ( ! [X4,X2,X0,X5,X3,X1] : (~id(X0,X3) | ~id(X1,X4) | ~id(X2,X5) | r3(X3,X4,X5) | ~r3(X0,X1,X2)) )), 4.36/1.55 inference(cnf_transformation,[],[f31])). 4.36/1.55 4.36/1.55 fof(f8,axiom,( 4.36/1.55 ! [X23] : ? [X24] : (id(X24,X23) & ? [X25] : (r1(X25) & r3(X23,X25,X24)))), 4.36/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a)). 4.36/1.55 4.36/1.55 fof(f27,plain,( 4.36/1.55 ! [X0] : ? [X1] : (id(X1,X0) & ? [X2] : (r1(X2) & r3(X0,X2,X1)))), 4.36/1.55 inference(rectify,[],[f8])). 4.36/1.55 4.36/1.55 fof(f52,plain,( 4.36/1.55 ! [X0] : (? [X2] : (r1(X2) & r3(X0,X2,sK7(X0))) => (r1(sK8(X0)) & r3(X0,sK8(X0),sK7(X0))))), 4.36/1.55 introduced(choice_axiom,[])). 4.36/1.55 4.36/1.55 fof(f51,plain,( 4.36/1.55 ! [X0] : (? [X1] : (id(X1,X0) & ? [X2] : (r1(X2) & r3(X0,X2,X1))) => (id(sK7(X0),X0) & ? [X2] : (r1(X2) & r3(X0,X2,sK7(X0)))))), 4.36/1.55 introduced(choice_axiom,[])). 4.36/1.55 4.36/1.55 fof(f53,plain,( 4.36/1.55 ! [X0] : (id(sK7(X0),X0) & (r1(sK8(X0)) & r3(X0,sK8(X0),sK7(X0))))), 4.36/1.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f27,f52,f51])). 4.36/1.55 4.36/1.55 fof(f90,plain,( 4.36/1.55 ( ! [X0] : (r3(X0,sK8(X0),sK7(X0))) )), 4.36/1.55 inference(cnf_transformation,[],[f53])). 4.36/1.55 4.36/1.55 fof(f14,axiom,( 4.36/1.55 ! [X48] : ? [X49] : (? [X51] : (r1(X51) & id(X49,X51)) & ? [X50] : (r4(X48,X50,X49) & r1(X50)))), 4.36/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a)). 4.36/1.55 4.36/1.55 fof(f33,plain,( 4.36/1.55 ! [X0] : ? [X1] : (? [X2] : (r1(X2) & id(X1,X2)) & ? [X3] : (r4(X0,X3,X1) & r1(X3)))), 4.36/1.55 inference(rectify,[],[f14])). 4.36/1.55 4.36/1.55 fof(f66,plain,( 4.36/1.55 ! [X0] : (? [X3] : (r4(X0,X3,sK17(X0)) & r1(X3)) => (r4(X0,sK19(X0),sK17(X0)) & r1(sK19(X0))))), 4.36/1.55 introduced(choice_axiom,[])). 4.36/1.55 4.36/1.55 fof(f65,plain,( 4.36/1.55 ! [X0] : (? [X2] : (r1(X2) & id(sK17(X0),X2)) => (r1(sK18(X0)) & id(sK17(X0),sK18(X0))))), 4.36/1.55 introduced(choice_axiom,[])). 4.36/1.55 4.36/1.55 fof(f64,plain,( 4.36/1.55 ! [X0] : (? [X1] : (? [X2] : (r1(X2) & id(X1,X2)) & ? [X3] : (r4(X0,X3,X1) & r1(X3))) => (? [X2] : (r1(X2) & id(sK17(X0),X2)) & ? [X3] : (r4(X0,X3,sK17(X0)) & r1(X3))))), 4.36/1.55 introduced(choice_axiom,[])). 4.36/1.55 4.36/1.55 fof(f67,plain,( 4.36/1.55 ! [X0] : ((r1(sK18(X0)) & id(sK17(X0),sK18(X0))) & (r4(X0,sK19(X0),sK17(X0)) & r1(sK19(X0))))), 4.36/1.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f33,f66,f65,f64])). 4.36/1.55 4.36/1.55 fof(f110,plain,( 4.36/1.55 ( ! [X0] : (r4(X0,sK19(X0),sK17(X0))) )), 4.36/1.55 inference(cnf_transformation,[],[f67])). 4.36/1.55 4.36/1.55 fof(f17,axiom,( 4.36/1.55 ! [X57,X58,X59,X60,X61,X62] : (~id(X58,X61) | (~r4(X57,X58,X59) & ~r4(X60,X61,X62)) | (r4(X60,X61,X62) & r4(X57,X58,X59)) | ~id(X59,X62) | ~id(X57,X60))), 4.36/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11)). 4.36/1.55 4.36/1.55 fof(f36,plain,( 4.36/1.55 ! [X0,X1,X2,X3,X4,X5] : (~id(X1,X4) | (~r4(X0,X1,X2) & ~r4(X3,X4,X5)) | (r4(X3,X4,X5) & r4(X0,X1,X2)) | ~id(X2,X5) | ~id(X0,X3))), 4.36/1.55 inference(rectify,[],[f17])). 4.36/1.55 4.36/1.55 fof(f118,plain,( 4.36/1.55 ( ! [X4,X2,X0,X5,X3,X1] : (~id(X1,X4) | ~r4(X3,X4,X5) | r4(X0,X1,X2) | ~id(X2,X5) | ~id(X0,X3)) )), 4.36/1.55 inference(cnf_transformation,[],[f36])). 4.36/1.55 4.36/1.55 fof(f7,axiom,( 4.36/1.55 ! [X19,X20] : ? [X21] : ! [X22] : ((r3(X19,X20,X22) & id(X22,X21)) | (~id(X22,X21) & ~r3(X19,X20,X22)))), 4.36/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3)). 4.36/1.55 4.36/1.55 fof(f26,plain,( 4.36/1.55 ! [X0,X1] : ? [X2] : ! [X3] : ((r3(X0,X1,X3) & id(X3,X2)) | (~id(X3,X2) & ~r3(X0,X1,X3)))), 4.36/1.55 inference(rectify,[],[f7])). 4.36/1.55 4.36/1.55 fof(f49,plain,( 4.36/1.55 ! [X0,X1] : (? [X2] : ! [X3] : ((r3(X0,X1,X3) & id(X3,X2)) | (~id(X3,X2) & ~r3(X0,X1,X3))) => ! [X3] : ((r3(X0,X1,X3) & id(X3,sK6(X0,X1))) | (~id(X3,sK6(X0,X1)) & ~r3(X0,X1,X3))))), 4.36/1.55 introduced(choice_axiom,[])). 4.36/1.55 4.36/1.55 fof(f50,plain,( 4.36/1.55 ! [X0,X1] : ! [X3] : ((r3(X0,X1,X3) & id(X3,sK6(X0,X1))) | (~id(X3,sK6(X0,X1)) & ~r3(X0,X1,X3)))), 4.36/1.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f26,f49])). 4.36/1.55 4.36/1.55 fof(f86,plain,( 4.36/1.55 ( ! [X0,X3,X1] : (id(X3,sK6(X0,X1)) | ~r3(X0,X1,X3)) )), 4.36/1.55 inference(cnf_transformation,[],[f50])). 4.36/1.55 4.36/1.55 fof(f107,plain,( 4.36/1.55 ( ! [X0,X1] : (r4(X0,sK15(X0,X1),sK14(X0,X1))) )), 4.36/1.55 inference(cnf_transformation,[],[f63])). 4.36/1.55 4.36/1.55 fof(f19,conjecture,( 4.36/1.55 ? [X17,X44] : (? [X46] : (? [X32] : (r2(X32,X46) & r1(X32)) & r4(X17,X46,X44)) & ? [X33] : (id(X44,X33) & r1(X33)))), 4.36/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xtimesoneidzero)). 4.36/1.55 4.36/1.55 fof(f20,negated_conjecture,( 4.36/1.55 ~? [X17,X44] : (? [X46] : (? [X32] : (r2(X32,X46) & r1(X32)) & r4(X17,X46,X44)) & ? [X33] : (id(X44,X33) & r1(X33)))), 4.36/1.55 inference(negated_conjecture,[],[f19])). 4.36/1.55 4.36/1.55 fof(f38,plain,( 4.36/1.55 ~? [X0,X1] : (? [X2] : (? [X3] : (r2(X3,X2) & r1(X3)) & r4(X0,X2,X1)) & ? [X4] : (id(X1,X4) & r1(X4)))), 4.36/1.55 inference(rectify,[],[f20])). 4.36/1.55 4.36/1.55 fof(f39,plain,( 4.36/1.55 ! [X0,X1] : (! [X2] : (! [X3] : (~r2(X3,X2) | ~r1(X3)) | ~r4(X0,X2,X1)) | ! [X4] : (~id(X1,X4) | ~r1(X4)))), 4.36/1.55 inference(ennf_transformation,[],[f38])). 4.36/1.55 4.36/1.55 fof(f126,plain,( 4.36/1.55 ( ! [X4,X2,X0,X3,X1] : (~r2(X3,X2) | ~r1(X3) | ~r4(X0,X2,X1) | ~id(X1,X4) | ~r1(X4)) )), 4.36/1.55 inference(cnf_transformation,[],[f39])). 4.36/1.55 4.36/1.55 fof(f111,plain,( 4.36/1.55 ( ! [X0] : (id(sK17(X0),sK18(X0))) )), 4.36/1.55 inference(cnf_transformation,[],[f67])). 4.36/1.55 4.36/1.55 fof(f16,axiom,( 4.36/1.55 ! [X55,X56] : ((r1(X55) & r1(X56)) | (~r1(X56) & ~r1(X55)) | ~id(X55,X56))), 4.36/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8)). 4.36/1.55 4.36/1.55 fof(f35,plain,( 4.36/1.55 ! [X0,X1] : ((r1(X0) & r1(X1)) | (~r1(X1) & ~r1(X0)) | ~id(X0,X1))), 4.36/1.55 inference(rectify,[],[f16])). 4.36/1.55 4.36/1.55 fof(f114,plain,( 4.36/1.55 ( ! [X0,X1] : (r1(X1) | ~r1(X0) | ~id(X0,X1)) )), 4.36/1.55 inference(cnf_transformation,[],[f35])). 4.36/1.55 4.36/1.55 fof(f117,plain,( 4.36/1.55 ( ! [X0,X1] : (r1(X0) | ~r1(X1) | ~id(X0,X1)) )), 4.36/1.55 inference(cnf_transformation,[],[f35])). 4.36/1.55 4.36/1.55 fof(f73,plain,( 4.36/1.55 ( ! [X1] : (r1(X1) | ~id(X1,sK1)) )), 4.36/1.55 inference(cnf_transformation,[],[f43])). 4.36/1.55 4.36/1.55 fof(f92,plain,( 4.36/1.55 ( ! [X0] : (id(sK7(X0),X0)) )), 4.36/1.55 inference(cnf_transformation,[],[f53])). 4.36/1.55 4.36/1.55 fof(f91,plain,( 4.36/1.55 ( ! [X0] : (r1(sK8(X0))) )), 4.36/1.55 inference(cnf_transformation,[],[f53])). 4.36/1.55 4.36/1.55 fof(f9,axiom,( 4.36/1.55 ! [X26] : id(X26,X26)), 4.36/1.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5)). 4.36/1.55 4.36/1.55 fof(f28,plain,( 4.36/1.55 ! [X0] : id(X0,X0)), 4.36/1.55 inference(rectify,[],[f9])). 4.36/1.55 4.36/1.55 fof(f93,plain,( 4.36/1.55 ( ! [X0] : (id(X0,X0)) )), 4.36/1.55 inference(cnf_transformation,[],[f28])). 4.36/1.55 4.36/1.55 fof(f106,plain,( 4.36/1.55 ( ! [X0,X1] : (r2(X1,sK15(X0,X1))) )), 4.36/1.55 inference(cnf_transformation,[],[f63])). 4.36/1.55 4.36/1.55 fof(f112,plain,( 4.36/1.55 ( ! [X0] : (r1(sK18(X0))) )), 4.36/1.55 inference(cnf_transformation,[],[f67])). 4.36/1.55 4.36/1.55 fof(f109,plain,( 4.36/1.55 ( ! [X0] : (r1(sK19(X0))) )), 4.36/1.55 inference(cnf_transformation,[],[f67])). 4.36/1.55 4.36/1.55 cnf(c_78,plain, 4.36/1.55 ( r4(X0,X1,sK16(X0,X1)) ), 4.36/1.55 inference(cnf_transformation,[],[f105]) ). 4.36/1.55 4.36/1.55 cnf(c_54,plain, 4.36/1.55 ( ~ r4(X0,X1,X2) | id(X2,sK2(X0,X1)) ), 4.36/1.55 inference(cnf_transformation,[],[f79]) ). 4.36/1.55 4.36/1.55 cnf(c_52,plain, 4.36/1.55 ( ~ r1(X0) | id(X0,sK1) ), 4.36/1.55 inference(cnf_transformation,[],[f76]) ). 4.36/1.55 4.36/1.55 cnf(c_84,plain, 4.36/1.55 ( ~ id(X0,X1) | ~ id(X2,X0) | id(X2,X1) ), 4.36/1.55 inference(cnf_transformation,[],[f113]) ). 4.36/1.55 4.36/1.55 cnf(c_485,plain, 4.36/1.55 ( ~ id(X0,X1) | ~ r1(X1) | id(X0,sK1) ), 4.36/1.55 inference(superposition,[status(thm)],[c_52,c_84]) ). 4.36/1.55 4.36/1.55 cnf(c_1275,plain, 4.36/1.55 ( ~ r4(X0,X1,X2) | ~ r1(sK2(X0,X1)) | id(X2,sK1) ), 4.36/1.55 inference(superposition,[status(thm)],[c_54,c_485]) ). 4.36/1.55 4.36/1.55 cnf(c_5112,plain, 4.36/1.55 ( ~ r1(sK2(X0,X1)) | id(sK16(X0,X1),sK1) ), 4.36/1.55 inference(superposition,[status(thm)],[c_78,c_1275]) ). 4.36/1.55 4.36/1.55 cnf(c_5118,plain, 4.36/1.55 ( ~ r1(sK2(sK1,sK1)) | id(sK16(sK1,sK1),sK1) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_5112]) ). 4.36/1.55 4.36/1.55 cnf(c_75,plain, 4.36/1.55 ( id(sK14(X0,X1),sK13(X0,X1)) ), 4.36/1.55 inference(cnf_transformation,[],[f108]) ). 4.36/1.55 4.36/1.55 cnf(c_49,plain, 4.36/1.55 ( ~ id(X0,X1) | id(X1,X0) ), 4.36/1.55 inference(cnf_transformation,[],[f68]) ). 4.36/1.55 4.36/1.55 cnf(c_370,plain, 4.36/1.55 ( id(sK13(X0,X1),sK14(X0,X1)) ), 4.36/1.55 inference(superposition,[status(thm)],[c_75,c_49]) ). 4.36/1.55 4.36/1.55 cnf(c_79,plain, 4.36/1.55 ( r3(sK16(X0,X1),X0,sK13(X0,X1)) ), 4.36/1.55 inference(cnf_transformation,[],[f104]) ). 4.36/1.55 4.36/1.55 cnf(c_74,plain, 4.36/1.55 ( ~ r3(X0,X1,X2) 4.36/1.55 | ~ id(X0,X4) 4.36/1.55 | ~ id(X1,X3) 4.36/1.55 | ~ id(X2,X5) 4.36/1.55 | r3(X4,X3,X5) ), 4.36/1.55 inference(cnf_transformation,[],[f101]) ). 4.36/1.55 4.36/1.55 cnf(c_743,plain, 4.36/1.55 ( ~ id(sK13(X0,X1),X2) 4.36/1.55 | ~ id(sK16(X0,X1),X3) 4.36/1.55 | ~ id(X0,X4) 4.36/1.55 | r3(X3,X4,X2) ), 4.36/1.55 inference(superposition,[status(thm)],[c_79,c_74]) ). 4.36/1.55 4.36/1.55 cnf(c_2711,plain, 4.36/1.55 ( ~ id(sK16(X0,X1),X2) | ~ id(X0,X3) | r3(X2,X3,sK14(X0,X1)) ), 4.36/1.55 inference(superposition,[status(thm)],[c_370,c_743]) ). 4.36/1.55 4.36/1.55 cnf(c_2723,plain, 4.36/1.55 ( ~ id(sK16(sK1,sK1),sK1) 4.36/1.55 | ~ id(sK1,sK1) 4.36/1.55 | r3(sK1,sK1,sK14(sK1,sK1)) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_2711]) ). 4.36/1.55 4.36/1.55 cnf(c_65,plain, 4.36/1.55 ( r3(X0,sK8(X0),sK7(X0)) ), 4.36/1.55 inference(cnf_transformation,[],[f90]) ). 4.36/1.55 4.36/1.55 cnf(c_740,plain, 4.36/1.55 ( ~ id(sK7(X0),X1) 4.36/1.55 | ~ id(sK8(X0),X2) 4.36/1.55 | ~ id(X0,X3) 4.36/1.55 | r3(X3,X2,X1) ), 4.36/1.55 inference(superposition,[status(thm)],[c_65,c_74]) ). 4.36/1.55 4.36/1.55 cnf(c_2594,plain, 4.36/1.55 ( ~ id(sK7(X0),X1) | ~ id(X0,X2) | ~ r1(sK8(X0)) | r3(X2,sK1,X1) ), 4.36/1.55 inference(superposition,[status(thm)],[c_52,c_740]) ). 4.36/1.55 4.36/1.55 cnf(c_2606,plain, 4.36/1.55 ( ~ id(sK7(sK1),sK1) 4.36/1.55 | ~ id(sK1,sK1) 4.36/1.55 | ~ r1(sK8(sK1)) 4.36/1.55 | r3(sK1,sK1,sK1) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_2594]) ). 4.36/1.55 4.36/1.55 cnf(c_365,plain, 4.36/1.55 ( ~ r1(X0) | id(sK1,X0) ), 4.36/1.55 inference(superposition,[status(thm)],[c_52,c_49]) ). 4.36/1.55 4.36/1.55 cnf(c_82,plain, 4.36/1.55 ( r4(X0,sK19(X0),sK17(X0)) ), 4.36/1.55 inference(cnf_transformation,[],[f110]) ). 4.36/1.55 4.36/1.55 cnf(c_88,plain, 4.36/1.55 ( ~ r4(X0,X1,X2) 4.36/1.55 | ~ id(X3,X1) 4.36/1.55 | ~ id(X4,X0) 4.36/1.55 | ~ id(X5,X2) 4.36/1.55 | r4(X4,X3,X5) ), 4.36/1.55 inference(cnf_transformation,[],[f118]) ). 4.36/1.55 4.36/1.55 cnf(c_699,plain, 4.36/1.55 ( ~ id(X0,sK19(X1)) 4.36/1.55 | ~ id(X2,sK17(X1)) 4.36/1.55 | ~ id(X3,X1) 4.36/1.55 | r4(X3,X0,X2) ), 4.36/1.55 inference(superposition,[status(thm)],[c_82,c_88]) ). 4.36/1.55 4.36/1.55 cnf(c_2445,plain, 4.36/1.55 ( ~ id(X0,sK17(X1)) 4.36/1.55 | ~ id(X2,X1) 4.36/1.55 | ~ r1(sK19(X1)) 4.36/1.55 | r4(X2,sK1,X0) ), 4.36/1.55 inference(superposition,[status(thm)],[c_365,c_699]) ). 4.36/1.55 4.36/1.55 cnf(c_2453,plain, 4.36/1.55 ( ~ id(sK1,sK17(sK1)) 4.36/1.55 | ~ id(sK1,sK1) 4.36/1.55 | ~ r1(sK19(sK1)) 4.36/1.55 | r4(sK1,sK1,sK1) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_2445]) ). 4.36/1.55 4.36/1.55 cnf(c_62,plain, 4.36/1.55 ( ~ r3(X0,X1,X2) | id(X2,sK6(X0,X1)) ), 4.36/1.55 inference(cnf_transformation,[],[f86]) ). 4.36/1.55 4.36/1.55 cnf(c_76,plain, 4.36/1.55 ( r4(X0,sK15(X0,X1),sK14(X0,X1)) ), 4.36/1.55 inference(cnf_transformation,[],[f107]) ). 4.36/1.55 4.36/1.55 cnf(c_91,negated_conjecture, 4.36/1.55 ( ~ r4(X0,X1,X2) 4.36/1.55 | ~ id(X2,X3) 4.36/1.55 | ~ r2(X4,X1) 4.36/1.55 | ~ r1(X3) 4.36/1.55 | ~ r1(X4) ), 4.36/1.55 inference(cnf_transformation,[],[f126]) ). 4.36/1.55 4.36/1.55 cnf(c_682,plain, 4.36/1.55 ( ~ id(sK14(X0,X1),X2) 4.36/1.55 | ~ r2(X3,sK15(X0,X1)) 4.36/1.55 | ~ r1(X2) 4.36/1.55 | ~ r1(X3) ), 4.36/1.55 inference(superposition,[status(thm)],[c_76,c_91]) ). 4.36/1.55 4.36/1.55 cnf(c_2296,plain, 4.36/1.55 ( ~ r3(X0,X1,sK14(X2,X3)) 4.36/1.55 | ~ r2(X4,sK15(X2,X3)) 4.36/1.55 | ~ r1(sK6(X0,X1)) 4.36/1.55 | ~ r1(X4) ), 4.36/1.55 inference(superposition,[status(thm)],[c_62,c_682]) ). 4.36/1.55 4.36/1.55 cnf(c_2307,plain, 4.36/1.55 ( ~ r3(sK1,sK1,sK14(sK1,sK1)) 4.36/1.55 | ~ r2(sK1,sK15(sK1,sK1)) 4.36/1.55 | ~ r1(sK6(sK1,sK1)) 4.36/1.55 | ~ r1(sK1) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_2296]) ). 4.36/1.55 4.36/1.55 cnf(c_81,plain, 4.36/1.55 ( id(sK17(X0),sK18(X0)) ), 4.36/1.55 inference(cnf_transformation,[],[f111]) ). 4.36/1.55 4.36/1.55 cnf(c_494,plain, 4.36/1.55 ( ~ id(X0,sK17(X1)) | id(X0,sK18(X1)) ), 4.36/1.55 inference(superposition,[status(thm)],[c_81,c_84]) ). 4.36/1.55 4.36/1.55 cnf(c_1541,plain, 4.36/1.55 ( ~ r1(sK17(X0)) | id(sK1,sK18(X0)) ), 4.36/1.55 inference(superposition,[status(thm)],[c_365,c_494]) ). 4.36/1.55 4.36/1.55 cnf(c_1549,plain, 4.36/1.55 ( ~ r1(sK17(sK1)) | id(sK1,sK18(sK1)) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_1541]) ). 4.36/1.55 4.36/1.55 cnf(c_371,plain, 4.36/1.55 ( id(sK18(X0),sK17(X0)) ), 4.36/1.55 inference(superposition,[status(thm)],[c_81,c_49]) ). 4.36/1.55 4.36/1.55 cnf(c_893,plain, 4.36/1.55 ( ~ id(X0,sK18(X1)) | id(X0,sK17(X1)) ), 4.36/1.55 inference(superposition,[status(thm)],[c_371,c_84]) ). 4.36/1.55 4.36/1.55 cnf(c_898,plain, 4.36/1.55 ( ~ id(sK1,sK18(sK1)) | id(sK1,sK17(sK1)) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_893]) ). 4.36/1.55 4.36/1.55 cnf(c_86,plain, 4.36/1.55 ( ~ id(X0,X1) | ~ r1(X0) | r1(X1) ), 4.36/1.55 inference(cnf_transformation,[],[f114]) ). 4.36/1.55 4.36/1.55 cnf(c_473,plain, 4.36/1.55 ( ~ r4(X0,X1,X2) | ~ r1(X2) | r1(sK2(X0,X1)) ), 4.36/1.55 inference(superposition,[status(thm)],[c_54,c_86]) ). 4.36/1.55 4.36/1.55 cnf(c_476,plain, 4.36/1.55 ( ~ r4(sK1,sK1,sK1) | ~ r1(sK1) | r1(sK2(sK1,sK1)) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_473]) ). 4.36/1.55 4.36/1.55 cnf(c_447,plain, 4.36/1.55 ( ~ r3(X0,X1,X2) | ~ r1(X2) | r1(sK6(X0,X1)) ), 4.36/1.55 inference(superposition,[status(thm)],[c_62,c_86]) ). 4.36/1.55 4.36/1.55 cnf(c_449,plain, 4.36/1.55 ( ~ r3(sK1,sK1,sK1) | ~ r1(sK1) | r1(sK6(sK1,sK1)) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_447]) ). 4.36/1.55 4.36/1.55 cnf(c_85,plain, 4.36/1.55 ( ~ id(X0,X1) | ~ r1(X1) | r1(X0) ), 4.36/1.55 inference(cnf_transformation,[],[f117]) ). 4.36/1.55 4.36/1.55 cnf(c_434,plain, 4.36/1.55 ( ~ r1(sK18(X0)) | r1(sK17(X0)) ), 4.36/1.55 inference(superposition,[status(thm)],[c_81,c_85]) ). 4.36/1.55 4.36/1.55 cnf(c_437,plain, 4.36/1.55 ( ~ r1(sK18(sK1)) | r1(sK17(sK1)) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_434]) ). 4.36/1.55 4.36/1.55 cnf(c_53,plain, 4.36/1.55 ( ~ id(X0,sK1) | r1(X0) ), 4.36/1.55 inference(cnf_transformation,[],[f73]) ). 4.36/1.55 4.36/1.55 cnf(c_120,plain, 4.36/1.55 ( ~ id(sK1,sK1) | r1(sK1) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_53]) ). 4.36/1.55 4.36/1.55 cnf(c_63,plain, 4.36/1.55 ( id(sK7(X0),X0) ), 4.36/1.55 inference(cnf_transformation,[],[f92]) ). 4.36/1.55 4.36/1.55 cnf(c_111,plain, 4.36/1.55 ( id(sK7(sK1),sK1) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_63]) ). 4.36/1.55 4.36/1.55 cnf(c_64,plain, 4.36/1.55 ( r1(sK8(X0)) ), 4.36/1.55 inference(cnf_transformation,[],[f91]) ). 4.36/1.55 4.36/1.55 cnf(c_110,plain, 4.36/1.55 ( r1(sK8(sK1)) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_64]) ). 4.36/1.55 4.36/1.55 cnf(c_66,plain,( id(X0,X0) ),inference(cnf_transformation,[],[f93]) ). 4.36/1.55 4.36/1.55 cnf(c_108,plain, 4.36/1.55 ( id(sK1,sK1) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_66]) ). 4.36/1.55 4.36/1.55 cnf(c_77,plain, 4.36/1.55 ( r2(X0,sK15(X1,X0)) ), 4.36/1.55 inference(cnf_transformation,[],[f106]) ). 4.36/1.55 4.36/1.55 cnf(c_99,plain, 4.36/1.55 ( r2(sK1,sK15(sK1,sK1)) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_77]) ). 4.36/1.55 4.36/1.55 cnf(c_80,plain, 4.36/1.55 ( r1(sK18(X0)) ), 4.36/1.55 inference(cnf_transformation,[],[f112]) ). 4.36/1.55 4.36/1.55 cnf(c_96,plain, 4.36/1.55 ( r1(sK18(sK1)) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_80]) ). 4.36/1.55 4.36/1.55 cnf(c_83,plain, 4.36/1.55 ( r1(sK19(X0)) ), 4.36/1.55 inference(cnf_transformation,[],[f109]) ). 4.36/1.55 4.36/1.55 cnf(c_93,plain, 4.36/1.55 ( r1(sK19(sK1)) ), 4.36/1.55 inference(instantiation,[status(thm)],[c_83]) ). 4.36/1.55 4.36/1.55 cnf(contradiction,plain, 4.36/1.55 ( $false ), 4.36/1.55 inference(minisat, 4.36/1.55 [status(thm)], 4.36/1.55 [c_5118,c_2723,c_2606,c_2453,c_2307,c_1549,c_898,c_476, 4.36/1.55 c_449,c_437,c_120,c_111,c_110,c_108,c_99,c_96,c_93]) ). 4.36/1.55 4.36/1.55 4.36/1.55 % SZS output end CNFRefutation for theBenchmark.p 4.36/1.55 4.36/1.55 ------ Statistics 4.36/1.55 4.36/1.55 ------ Selected 4.36/1.55 4.36/1.55 total_time: 0.178 4.36/1.55 4.36/1.57 EOF