TSTP Solution File: SWV888-1 by ConnectPP---0.2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SWV888-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Mar 6 09:25:20 EST 2024
% Result : Unsatisfiable 0.46s 0.61s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV888-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Mar 4 10:16:52 EST 2024
% 0.13/0.33 % CPUTime :
% 0.46/0.61 % SZS status Unsatisfiable for theBenchmark
% 0.46/0.61 % SZS output start Proof for theBenchmark
% 0.46/0.61
% 0.46/0.61 % Problem matrix:
% 0.46/0.61 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.46/0.61 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.46/0.61 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.46/0.61 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Fun_Oid(__eqx_0, __eqx_1) = c_Fun_Oid(__eqy_0, __eqy_1)) )).
% 0.46/0.61 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(__eqx_0, __eqx_1) = c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(__eqy_0, __eqy_1)) )).
% 0.46/0.61 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Ooption_OSome(__eqx_0, __eqx_1) = c_Option_Ooption_OSome(__eqy_0, __eqy_1)) )).
% 0.46/0.61 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_ONone(__eqx_0) = c_Option_Ooption_ONone(__eqy_0)) )).
% 0.46/0.61 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.46/0.61 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( c_Suc(__eqx_0) = c_Suc(__eqy_0)) )).
% 0.46/0.61 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ocom_OBODY(__eqx_0) = c_Com_Ocom_OBODY(__eqy_0)) )).
% 0.46/0.61 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.46/0.61 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Com_Ocom_OSemi(__eqx_0, __eqx_1) = c_Com_Ocom_OSemi(__eqy_0, __eqy_1)) )).
% 0.46/0.61 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Natural_Osko__Natural__Xeval__eq__1__1(__eqx_0, __eqx_1, __eqx_2) = c_Natural_Osko__Natural__Xeval__eq__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.46/0.61 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(__eqx_0, __eqx_1) = c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(__eqy_0, __eqy_1)) )).
% 0.46/0.61 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 0.46/0.61 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(__eqx_0, __eqx_1) = c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(__eqy_0, __eqy_1)) )).
% 0.46/0.61 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Natural_Osko__Natural__Xevalc__evaln__1__1(__eqx_0, __eqx_1, __eqx_2) = c_Natural_Osko__Natural__Xevalc__evaln__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.46/0.61 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Obody(__eqx_0) = c_Com_Obody(__eqy_0)) )).
% 0.46/0.61 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(__eqx_0, __eqx_1) = c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(__eqy_0, __eqy_1)) )).
% 0.46/0.61 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Othe(__eqx_0, __eqx_1) = c_Option_Othe(__eqy_0, __eqy_1)) )).
% 0.46/0.61 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Osko__Com__XWTs__elim__cases__7__1(__eqx_0) = c_Com_Osko__Com__XWTs__elim__cases__7__1(__eqy_0)) )).
% 0.46/0.61 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Natural_Oevaln(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Natural_Oevaln(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 0.46/0.61 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Natural_Oevalc(__eqx_0, __eqx_1, __eqx_2) | c_Natural_Oevalc(__eqy_0, __eqy_1, __eqy_2) )).
% 0.46/0.61 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ~c_Com_OWT(__eqx_0) | c_Com_OWT(__eqy_0) )).
% 0.46/0.61 cnf(matrix-24, plain, ( ( c_Fun_Oid(V_x, T_a) = V_x) )).
% 0.46/0.61 cnf(matrix-25, plain, ( ( V_t = V_s) | ~c_Natural_Oevaln(c_Com_Ocom_OSKIP, V_s, V_n, V_t) )).
% 0.46/0.61 cnf(matrix-26, plain, ( ( V_v = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(V_v, T_a), T_a)) | ( V_v = c_Option_Ooption_ONone(T_a)) )).
% 0.46/0.61 cnf(matrix-27, plain, ( ( V_n = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P, V_n, V_s, V_s1))) | ~c_Natural_Oevaln(c_Com_Ocom_OBODY(V_P), V_s, V_n, V_s1) )).
% 0.46/0.61 cnf(matrix-28, plain, ( c_Natural_Oevalc(V_c2, c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(V_c1, V_c2, V_s, V_t), V_t) | ~c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1, V_c2), V_s, V_t) )).
% 0.46/0.61 cnf(matrix-29, plain, ( c_Natural_Oevalc(V_c1, V_s, c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(V_c1, V_c2, V_s, V_t)) | ~c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1, V_c2), V_s, V_t) )).
% 0.46/0.61 cnf(matrix-30, plain, ( c_Com_OWT(c_Com_Ocom_OSKIP) )).
% 0.46/0.61 cnf(matrix-31, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0, V_c1), V_s0, V_n, V_s2) | ~c_Natural_Oevaln(V_c1, V_s1, V_n, V_s2) | ~c_Natural_Oevaln(V_c0, V_s0, V_n, V_s1) )).
% 0.46/0.61 cnf(matrix-32, plain, ( ( c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_a_H, T_a)) )).
% 0.46/0.61 cnf(matrix-33, plain, ( ( c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_y, T_a)) )).
% 0.46/0.61 cnf(matrix-34, plain, ( c_Natural_Oevaln(V_c, V_s, c_Natural_Osko__Natural__Xeval__eq__1__1(V_c, V_s, V_t), V_t) | ~c_Natural_Oevalc(V_c, V_s, V_t) )).
% 0.46/0.61 cnf(matrix-35, plain, ( ( V_x = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(V_x, T_a), T_a)) | ( V_x = c_Option_Ooption_ONone(T_a)) )).
% 0.46/0.61 cnf(matrix-36, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) | ( V_com2 = V_com2_H) )).
% 0.46/0.61 cnf(matrix-37, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) | ( V_com1 = V_com1_H) )).
% 0.46/0.61 cnf(matrix-38, plain, ( ( c_Option_Ooption_OSome(V_a_H, T_a) != c_Option_Ooption_ONone(T_a)) )).
% 0.46/0.61 cnf(matrix-39, plain, ( ( c_Option_Ooption_OSome(V_xa, T_a) != c_Option_Ooption_ONone(T_a)) )).
% 0.46/0.61 cnf(matrix-40, plain, ( ( c_Option_Ooption_OSome(V_a, T_a) != c_Option_Ooption_OSome(V_a_H, T_a)) | ( V_a = V_a_H) )).
% 0.46/0.61 cnf(matrix-41, plain, ( ( c_Suc(V_x) != c_Suc(V_y)) | ( V_x = V_y) )).
% 0.46/0.61 cnf(matrix-42, plain, ( ( c_Suc(V_nat) != c_Suc(V_nat_H)) | ( V_nat = V_nat_H) )).
% 0.46/0.61 cnf(matrix-43, plain, ( c_Natural_Oevaln(V_c2, c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(V_c1, V_c2, V_n, V_s, V_t), V_n, V_t) | ~c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1, V_c2), V_s, V_n, V_t) )).
% 0.46/0.61 cnf(matrix-44, plain, ( c_Natural_Oevaln(V_c1, V_s, V_n, c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(V_c1, V_c2, V_n, V_s, V_t)) | ~c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1, V_c2), V_s, V_n, V_t) )).
% 0.46/0.61 cnf(matrix-45, plain, ( c_Natural_Oevaln(V_c, V_s, c_Suc(V_n), V_s_H) | ~c_Natural_Oevaln(V_c, V_s, V_n, V_s_H) )).
% 0.46/0.61 cnf(matrix-46, plain, ( ( V_x = c_Option_Ooption_ONone(T_a)) | ( V_x = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(V_x, T_a), T_a)) )).
% 0.46/0.61 cnf(matrix-47, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, V_s, V_n, V_s) )).
% 0.46/0.61 cnf(matrix-48, plain, ( c_Com_OWT(V_c2) | ~c_Com_OWT(c_Com_Ocom_OSemi(V_c1, V_c2)) )).
% 0.46/0.61 cnf(matrix-49, plain, ( c_Com_OWT(V_c1) | ~c_Com_OWT(c_Com_Ocom_OSemi(V_c1, V_c2)) )).
% 0.46/0.61 cnf(matrix-50, plain, ( ( c_Com_Ocom_OSemi(V_com1_H, V_com2_H) != c_Com_Ocom_OSKIP) )).
% 0.46/0.61 cnf(matrix-51, plain, ( c_Natural_Oevaln(V_c, V_s, c_Natural_Osko__Natural__Xevalc__evaln__1__1(V_c, V_s, V_t), V_t) | ~c_Natural_Oevalc(V_c, V_s, V_t) )).
% 0.46/0.61 cnf(matrix-52, plain, ( c_Com_OWT(c_Com_Ocom_OSemi(V_c0, V_c1)) | ~c_Com_OWT(V_c1) | ~c_Com_OWT(V_c0) )).
% 0.46/0.61 cnf(matrix-53, plain, ( ( c_Com_Obody(V_pn) != c_Option_Ooption_OSome(V_b, tc_Com_Ocom)) | ~c_Com_OWT__bodies | c_Com_OWT(V_b) )).
% 0.46/0.61 cnf(matrix-54, plain, ( ( c_Suc(V_n) != V_n) )).
% 0.46/0.61 cnf(matrix-55, plain, ( ( V_n != c_Suc(V_n)) )).
% 0.46/0.61 cnf(matrix-56, plain, ( ( V_y = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(V_y, T_a), T_a)) | ( V_y = c_Option_Ooption_ONone(T_a)) )).
% 0.46/0.61 cnf(matrix-57, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) )).
% 0.46/0.61 cnf(matrix-58, plain, ( ( c_Option_Othe(c_Option_Ooption_OSome(V_x, T_a), T_a) = V_x) )).
% 0.46/0.61 cnf(matrix-59, plain, ( c_Com_OWT(c_Com_Ocom_OBODY(V_pn)) | ( c_Com_Obody(V_pn) = c_Option_Ooption_ONone(tc_Com_Ocom)) )).
% 0.46/0.61 cnf(matrix-60, plain, ( ( c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSKIP) )).
% 0.46/0.61 cnf(matrix-61, plain, ( c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn), V_s0, V_s1) | ~c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn), tc_Com_Ocom), V_s0, V_s1) )).
% 0.46/0.61 cnf(matrix-62, plain, ( c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_P), tc_Com_Ocom), V_s, V_s1) | ~c_Natural_Oevalc(c_Com_Ocom_OBODY(V_P), V_s, V_s1) )).
% 0.46/0.61 cnf(matrix-63, plain, ( ( V_u = V_t) | ~c_Natural_Oevalc(V_c, V_s, V_u) | ~c_Natural_Oevalc(V_c, V_s, V_t) )).
% 0.46/0.61 cnf(matrix-64, plain, ( c_Natural_Oevalc(c_Com_Ocom_OSKIP, V_s, V_s) )).
% 0.46/0.61 cnf(matrix-65, plain, ( ( c_Fun_Oid(v_x, t_a) = v_x) )).
% 0.46/0.61 cnf(matrix-66, plain, ( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(V_P), tc_Com_Ocom), V_s, c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P, V_n, V_s, V_s1), V_s1) | ~c_Natural_Oevaln(c_Com_Ocom_OBODY(V_P), V_s, V_n, V_s1) )).
% 0.46/0.61 cnf(matrix-67, plain, ( ( c_Com_Obody(V_P) = c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(V_P), tc_Com_Ocom)) | ~c_Com_OWT(c_Com_Ocom_OBODY(V_P)) )).
% 0.46/0.61 cnf(matrix-68, plain, ( ( c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSemi(V_com1, V_com2)) )).
% 0.46/0.61 cnf(matrix-69, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OBODY(V_pname_H)) )).
% 0.46/0.61 cnf(matrix-70, plain, ( c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0, V_c1), V_s0, V_s2) | ~c_Natural_Oevalc(V_c1, V_s1, V_s2) | ~c_Natural_Oevalc(V_c0, V_s0, V_s1) )).
% 0.46/0.61 cnf(matrix-71, plain, ( c_Natural_Oevaln(c_Com_Ocom_OBODY(V_pn), V_s0, c_Suc(V_n), V_s1) | ~c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(V_pn), tc_Com_Ocom), V_s0, V_n, V_s1) )).
% 0.46/0.61 cnf(matrix-72, plain, ( ( c_Com_Ocom_OBODY(V_pname) != c_Com_Ocom_OBODY(V_pname_H)) | ( V_pname = V_pname_H) )).
% 0.46/0.61 cnf(matrix-73, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(V_pname_H)) )).
% 0.46/0.61 cnf(matrix-74, plain, ( ( V_t = V_s) | ~c_Natural_Oevalc(c_Com_Ocom_OSKIP, V_s, V_t) )).
% 0.46/0.61 cnf(matrix-75, plain, ( c_Natural_Oevalc(V_c, V_s, V_t) | ~c_Natural_Oevaln(V_c, V_s, V_n, V_t) )).
% 0.46/0.61 cnf(matrix-76, plain, ( c_Natural_Oevalc(V_c, V_s, V_t) | ~c_Natural_Oevaln(V_c, V_s, V_x, V_t) )).
% 0.46/0.61 cnf(matrix-77, plain, ( c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn), tc_Com_Ocom), v_x, v_xa) )).
% 0.46/0.61 cnf(matrix-78, plain, ( ~c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn), v_x, v_xa) )).
% 0.46/0.61
% 0.46/0.61 % Proof stack:
% 0.46/0.61 cnf(proof-stack, plain,
% 0.46/0.61 proof_stack(
% 0.46/0.61 start(78),
% 0.46/0.61 left_branch(0, 61, 0, 2),
% 0.46/0.61 left_branch(0, 77, 0, 3),
% 0.46/0.61 right_branch(3),
% 0.46/0.61 right_branch(2)
% 0.46/0.61 )).
% 0.46/0.61 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------