0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.04 % Command : nanocop_casc.sh %s %d 0.03/0.24 % Computer : n146.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 05:45:10 CDT 2018 0.03/0.24 % CPUTime : 45.16/45.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 45.16/45.18 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 45.16/45.18 45.16/45.18 - the following list represents a non-clausal connection proof 45.16/45.18 (a tree in which each node is labelled with a nested clause) 45.16/45.18 - I^V is a skolem term f_I(V) for variable list V 45.16/45.18 - (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which 45.16/45.18 I is the unique index of C, K distinguishes different copies 45.16/45.18 of C, and V is the list of (instantiated) variables in C 45.16/45.18 45.16/45.18 [(51527 ^ 0) ^ [] : [51528 ^ 0 : [(51544 ^ 0) ^ [] : [-(c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), 51539 ^ [], v_n, 51542 ^ []))], (51546 ^ 0) ^ [] : [v_Q(51538 ^ [], 51542 ^ [])], (51529 ^ 0) ^ [51539 ^ [], 51538 ^ []] : [v_P(51538 ^ [], 51539 ^ []), 51532 ^ 0 : [(51533 ^ 0) ^ [51542 ^ []] : [c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn), 51539 ^ [], hAPP(c_Nat_OSuc, v_n), 51542 ^ []), -(v_Q(51538 ^ [], 51542 ^ []))]]], (51541 ^ 0) ^ [] : [-(v_P(51538 ^ [], 51539 ^ []))]], 51547 ^ 0 : [(51563 ^ 0) ^ [] : [-(c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn), 51558 ^ [], hAPP(c_Nat_OSuc, v_n), 51561 ^ []))], (51565 ^ 0) ^ [] : [v_Q(51557 ^ [], 51561 ^ [])], (51548 ^ 0) ^ [51558 ^ [], 51557 ^ []] : [v_P(51557 ^ [], 51558 ^ []), 51551 ^ 0 : [(51552 ^ 0) ^ [51561 ^ []] : [c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), 51558 ^ [], v_n, 51561 ^ []), -(v_Q(51557 ^ [], 51561 ^ []))]]], (51560 ^ 0) ^ [] : [-(v_P(51557 ^ [], 51558 ^ []))]]], [(51541 ^ 3) ^ [] : [-(v_P(51538 ^ [], 51539 ^ []))]], [(8291 ^ 5) ^ [v_pn, 51539 ^ [], v_n, 51542 ^ []] : [-(c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn), 51539 ^ [], hAPP(c_Nat_OSuc, v_n), 51542 ^ [])), c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), 51539 ^ [], v_n, 51542 ^ [])], [(51544 ^ 6) ^ [] : [-(c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), 51539 ^ [], v_n, 51542 ^ []))]]], [(51546 ^ 5) ^ [] : [v_Q(51538 ^ [], 51542 ^ [])]], [(51560 ^ 3) ^ [] : [-(v_P(51557 ^ [], 51558 ^ []))]], [(8285 ^ 5) ^ [v_pn, 51558 ^ [], v_n, 51561 ^ []] : [-(c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn)), 51558 ^ [], v_n, 51561 ^ [])), c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn), 51558 ^ [], hAPP(c_Nat_OSuc, v_n), 51561 ^ [])], [(51563 ^ 6) ^ [] : [-(c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn), 51558 ^ [], hAPP(c_Nat_OSuc, v_n), 51561 ^ []))]]], [(51565 ^ 5) ^ [] : [v_Q(51557 ^ [], 51561 ^ [])]]] 45.16/45.18 45.16/45.18 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 45.16/45.19 EOF