TSTP Solution File: SWV864-1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWV864-1 : 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 : n021.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 : Mon Mar 25 14:39:39 EDT 2024
% Result : Unsatisfiable 2.59s 2.83s
% Output : Proof 2.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV864-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Mar 21 08:00:48 EDT 2024
% 0.12/0.34 % CPUTime :
% 2.59/2.83 % SZS status Unsatisfiable for theBenchmark
% 2.59/2.83 % SZS output start Proof for theBenchmark
% 2.59/2.83
% 2.59/2.83 % Problem matrix:
% 2.59/2.83 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 2.59/2.83 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 2.59/2.83 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 2.59/2.83 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)) )).
% 2.59/2.83 cnf(matrix-4, 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)) )).
% 2.59/2.83 cnf(matrix-5, 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)) )).
% 2.59/2.83 cnf(matrix-6, 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)) )).
% 2.59/2.83 cnf(matrix-7, 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)) )).
% 2.59/2.83 cnf(matrix-8, 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)) )).
% 2.59/2.83 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(__eqx_0) = v_sko__Hoare__Mirabelle__Xsingle__stateE__1(__eqy_0)) )).
% 2.59/2.83 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( v_xb(__eqx_0) = v_xb(__eqy_0)) )).
% 2.59/2.83 cnf(matrix-11, 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) )).
% 2.59/2.83 cnf(matrix-12, 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) )).
% 2.59/2.83 cnf(matrix-13, plain, ( ( c_Fun_Oid(V_x, T_a) = V_x) )).
% 2.59/2.83 cnf(matrix-14, plain, ( ( V_t = V_s) | ~c_Natural_Oevaln(c_Com_Ocom_OSKIP, V_s, V_n, V_t) )).
% 2.59/2.83 cnf(matrix-15, 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) )).
% 2.59/2.83 cnf(matrix-16, 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) )).
% 2.59/2.83 cnf(matrix-17, 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) )).
% 2.59/2.83 cnf(matrix-18, 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) )).
% 2.59/2.83 cnf(matrix-19, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) | ( V_com2 = V_com2_H) )).
% 2.59/2.83 cnf(matrix-20, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) | ( V_com1 = V_com1_H) )).
% 2.59/2.83 cnf(matrix-21, 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) )).
% 2.59/2.83 cnf(matrix-22, 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) )).
% 2.59/2.83 cnf(matrix-23, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, V_s, V_n, V_s) )).
% 2.59/2.83 cnf(matrix-24, plain, ( ( c_Com_Ocom_OSemi(V_com1_H, V_com2_H) != c_Com_Ocom_OSKIP) )).
% 2.59/2.83 cnf(matrix-25, 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) )).
% 2.59/2.83 cnf(matrix-26, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) )).
% 2.59/2.83 cnf(matrix-27, plain, ( ( V_u = V_t) | ~c_Natural_Oevalc(V_c, V_s, V_u) | ~c_Natural_Oevalc(V_c, V_s, V_t) )).
% 2.59/2.83 cnf(matrix-28, plain, ( c_Natural_Oevalc(c_Com_Ocom_OSKIP, V_s, V_s) )).
% 2.59/2.83 cnf(matrix-29, plain, ( ( c_Fun_Oid(v_x, t_a) = v_x) )).
% 2.59/2.83 cnf(matrix-30, plain, ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2) | ~c_Hoare__Mirabelle_Ostate__not__singleton )).
% 2.59/2.83 cnf(matrix-31, plain, ( c_Hoare__Mirabelle_Ostate__not__singleton | ( V_x = V_xa) )).
% 2.59/2.83 cnf(matrix-32, plain, ( ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(V_t) != V_t) | ~c_Hoare__Mirabelle_Ostate__not__singleton )).
% 2.59/2.83 cnf(matrix-33, 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) )).
% 2.59/2.83 cnf(matrix-34, plain, ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2) | ~c_Hoare__Mirabelle_Ostate__not__singleton )).
% 2.59/2.83 cnf(matrix-35, plain, ( ( V_t = V_s) | ~c_Natural_Oevalc(c_Com_Ocom_OSKIP, V_s, V_t) )).
% 2.59/2.83 cnf(matrix-36, plain, ( c_Natural_Oevalc(V_c, V_s, V_t) | ~c_Natural_Oevaln(V_c, V_s, V_n, V_t) )).
% 2.59/2.83 cnf(matrix-37, plain, ( c_Natural_Oevalc(V_c, V_s, V_t) | ~c_Natural_Oevaln(V_c, V_s, V_x, V_t) )).
% 2.59/2.83 cnf(matrix-38, plain, ( c_Hoare__Mirabelle_Ostate__not__singleton )).
% 2.59/2.83 cnf(matrix-39, plain, ( ~c_Natural_Oevalc(v_c, v_x, v_xa) )).
% 2.59/2.83 cnf(matrix-40, plain, ( ( V_Z_H = v_xa) | c_Natural_Oevalc(v_c, v_x, v_xb(V_Z_H)) )).
% 2.59/2.83 cnf(matrix-41, plain, ( ( V_Z_H != v_xb(V_Z_H)) | ( V_Z_H = v_xa) )).
% 2.59/2.83
% 2.59/2.83 % Proof stack:
% 2.59/2.83 cnf(proof-stack, plain,
% 2.59/2.83 proof_stack(
% 2.59/2.83 start(39),
% 2.59/2.83 left_branch(0, 12, 4, 2),
% 2.59/2.83 left_branch(0, 35, 0, 3),
% 2.59/2.83 left_branch(0, 37, 0, 4),
% 2.59/2.83 left_branch(0, 23, 0, 5),
% 2.59/2.83 right_branch(5),
% 2.59/2.83 right_branch(4),
% 2.59/2.83 right_branch(3),
% 2.59/2.83 left_branch(0, 40, 1, 4),
% 2.59/2.83 left_branch(0, 32, 0, 5),
% 2.59/2.83 left_branch(0, 38, 0, 6),
% 2.59/2.83 right_branch(6),
% 2.59/2.83 right_branch(5),
% 2.59/2.83 right_branch(4),
% 2.59/2.83 left_branch(0, 41, 1, 5),
% 2.59/2.83 left_branch(0, 27, 0, 6),
% 2.59/2.83 left_branch(0, 40, 1, 7),
% 2.59/2.83 reduction(0, 1),
% 2.59/2.83 right_branch(7),
% 2.59/2.83 lemmata(0, 1),
% 2.59/2.83 right_branch(6),
% 2.59/2.83 right_branch(5),
% 2.59/2.83 left_branch(0, 35, 0, 6),
% 2.59/2.83 left_branch(0, 37, 0, 7),
% 2.59/2.83 left_branch(0, 23, 0, 8),
% 2.59/2.83 right_branch(8),
% 2.59/2.83 right_branch(7),
% 2.59/2.83 right_branch(6),
% 2.59/2.83 right_branch(2)
% 2.59/2.83 )).
% 2.59/2.83 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------