%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW644_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 Jun 3 09:05:24 AM UTC 2026 % Result : Theorem 45.80s 46.07s % Output : Proof 45.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW644_2 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n027.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 22:20:36 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.54 %----Proving TF0_ARI % 45.80/46.07 --- Run --finite-model-find --decision=internal at 45... % 45.80/46.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.80/46.07 % SZS status Theorem % 45.80/46.07 % SZS output start Proof % 45.80/46.07 ( % 45.80/46.07 (declare-sort tptp.sudoku_chunks1 0) % 45.80/46.07 (declare-sort tptp.array_int 0) % 45.80/46.07 (declare-sort tptp.map_int_int 0) % 45.80/46.07 (declare-sort tptp.tuple02 0) % 45.80/46.07 (declare-sort tptp.bool1 0) % 45.80/46.07 (declare-sort tptp.ty 0) % 45.80/46.07 (declare-sort tptp.uni 0) % 45.80/46.07 (declare-const tptp.valid_chunk_up_to1 (-> tptp.map_int_int Int tptp.array_int tptp.array_int Int Bool)) % 45.80/46.07 (declare-const tptp.is_solution_for1 (-> tptp.sudoku_chunks1 tptp.map_int_int tptp.map_int_int Bool)) % 45.80/46.07 (declare-const tptp.included1 (-> tptp.map_int_int tptp.map_int_int Bool)) % 45.80/46.07 (declare-const tptp.full1 (-> tptp.map_int_int Bool)) % 45.80/46.07 (declare-const tptp.valid_square1 (-> tptp.sudoku_chunks1 tptp.map_int_int Int Bool)) % 45.80/46.07 (declare-const tptp.valid_row1 (-> tptp.sudoku_chunks1 tptp.map_int_int Int Bool)) % 45.80/46.07 (declare-const tptp.valid_column1 (-> tptp.sudoku_chunks1 tptp.map_int_int Int Bool)) % 45.80/46.07 (declare-const tptp.valid_chunk1 (-> tptp.map_int_int Int tptp.array_int tptp.array_int Bool)) % 45.80/46.07 (declare-const tptp.disjoint_chunks1 (-> tptp.array_int tptp.array_int Bool)) % 45.80/46.07 (declare-const tptp.chunk_valid_indexes1 (-> tptp.array_int tptp.array_int Bool)) % 45.80/46.07 (declare-const tptp.tb2t2 (-> tptp.uni tptp.array_int)) % 45.80/46.07 (declare-const tptp.t2tb2 (-> tptp.array_int tptp.uni)) % 45.80/46.07 (declare-const tptp.square_offsets1 (-> tptp.sudoku_chunks1 tptp.array_int)) % 45.80/46.07 (declare-const tptp.square_start1 (-> tptp.sudoku_chunks1 tptp.array_int)) % 45.80/46.07 (declare-const tptp.column_start1 (-> tptp.sudoku_chunks1 tptp.array_int)) % 45.80/46.07 (declare-const tptp.valid1 (-> tptp.sudoku_chunks1 tptp.map_int_int Bool)) % 45.80/46.07 (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 45.80/46.07 (declare-const tptp.tuple03 tptp.tuple02) % 45.80/46.07 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 45.80/46.07 (declare-const tptp.make1 (-> tptp.ty Int tptp.uni tptp.uni)) % 45.80/46.07 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 45.80/46.07 (declare-const tptp.valid_up_to1 (-> tptp.sudoku_chunks1 tptp.map_int_int Int Bool)) % 45.80/46.07 (declare-const tptp.set2 (-> tptp.ty tptp.uni Int tptp.uni tptp.uni)) % 45.80/46.07 (declare-const tptp.true1 tptp.bool1) % 45.80/46.07 (declare-const tptp.t2tb (-> tptp.map_int_int tptp.uni)) % 45.80/46.07 (declare-const tptp.column_offsets1 (-> tptp.sudoku_chunks1 tptp.array_int)) % 45.80/46.07 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 45.80/46.07 (declare-const tptp.false1 tptp.bool1) % 45.80/46.07 (declare-const tptp.valid_values1 (-> tptp.map_int_int Bool)) % 45.80/46.07 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 45.80/46.07 (declare-const tptp.array (-> tptp.ty tptp.ty)) % 45.80/46.07 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 45.80/46.07 (declare-const tptp.is_index1 (-> Int Bool)) % 45.80/46.07 (declare-const tptp.mk_sudoku_chunks1 (-> tptp.array_int tptp.array_int tptp.array_int tptp.array_int tptp.array_int tptp.array_int tptp.sudoku_chunks1)) % 45.80/46.07 (declare-const tptp.row_offsets1 (-> tptp.sudoku_chunks1 tptp.array_int)) % 45.80/46.07 (declare-const tptp.tb2t (-> tptp.uni tptp.map_int_int)) % 45.80/46.07 (declare-const tptp.t2tb1 (-> Int tptp.uni)) % 45.80/46.07 (declare-const tptp.mk_array1 (-> tptp.ty Int tptp.uni tptp.uni)) % 45.80/46.07 (declare-const tptp.tb2t1 (-> tptp.uni Int)) % 45.80/46.07 (declare-const tptp.int tptp.ty) % 45.80/46.07 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.80/46.07 (declare-const tptp.grid_eq_sub1 (-> tptp.map_int_int tptp.map_int_int Int Int Bool)) % 45.80/46.07 (declare-const tptp.length1 (-> tptp.ty tptp.uni Int)) % 45.80/46.07 (declare-const tptp.well_formed_sudoku1 (-> tptp.sudoku_chunks1 Bool)) % 45.80/46.07 (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni)) % 45.80/46.07 (declare-const tptp.row_start1 (-> tptp.sudoku_chunks1 tptp.array_int)) % 45.80/46.07 (declare-const tptp.get2 (-> tptp.ty tptp.uni Int tptp.uni)) % 45.80/46.07 (define @t1 () (@var "A" tptp.ty)) % 45.80/46.07 (define @t2 () (@var "X2" tptp.uni)) % 45.80/46.07 (define @t3 () (@var "X1" tptp.uni)) % 45.80/46.07 (define @t4 () (@var "X" tptp.bool1)) % 45.80/46.07 (define @t5 () (@var "Z" tptp.uni)) % 45.80/46.07 (define @t6 () (@var "Z1" tptp.uni)) % 45.80/46.07 (define @t7 () (@list @t1 @t5 @t6)) % 45.80/46.07 (define @t8 () (@var "U" tptp.bool1)) % 45.80/46.07 (define @t9 () (@var "U" tptp.tuple02)) % 45.80/46.07 (define @t10 () (@var "Z" Int)) % 45.80/46.07 (define @t11 () (@var "Y" Int)) % 45.80/46.07 (define @t12 () (@var "X" Int)) % 45.80/46.07 (define @t13 () (@var "X" tptp.uni)) % 45.80/46.07 (define @t14 () (@var "B" tptp.ty)) % 45.80/46.07 (define @t15 () (tptp.map @t1 @t14)) % 45.80/46.07 (define @t16 () (@var "B1" tptp.uni)) % 45.80/46.07 (define @t17 () (@var "A2" tptp.uni)) % 45.80/46.07 (define @t18 () (@var "A1" tptp.uni)) % 45.80/46.07 (define @t19 () (@var "M" tptp.uni)) % 45.80/46.07 (define @t20 () (tptp.get @t14 @t1 (tptp.set @t14 @t1 @t19 @t18 @t16) @t17)) % 45.80/46.07 (define @t21 () (= @t18 @t17)) % 45.80/46.07 (define @t22 () (tptp.sort1 @t14 @t16)) % 45.80/46.07 (define @t23 () (@var "I" Int)) % 45.80/46.07 (define @t24 () (<= 0 @t23)) % 45.80/46.07 (define @t25 () (and @t24 (< @t23 81))) % 45.80/46.07 (define @t26 () (tptp.is_index1 @t23)) % 45.80/46.07 (define @t27 () (= @t26 @t25)) % 45.80/46.07 (define @t28 () (@list @t23)) % 45.80/46.07 (define @t29 () (forall @t28 @t27)) % 45.80/46.07 (define @t30 () (@var "X" tptp.map_int_int)) % 45.80/46.07 (define @t31 () (@var "I" tptp.map_int_int)) % 45.80/46.07 (define @t32 () (@var "J" tptp.uni)) % 45.80/46.07 (define @t33 () (@list @t32)) % 45.80/46.07 (define @t34 () (tptp.t2tb1 @t23)) % 45.80/46.07 (define @t35 () (@var "G" tptp.map_int_int)) % 45.80/46.07 (define @t36 () (tptp.t2tb @t35)) % 45.80/46.07 (define @t37 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t36 @t34))) % 45.80/46.07 (define @t38 () (<= @t37 9)) % 45.80/46.07 (define @t39 () (@list @t35)) % 45.80/46.07 (define @t40 () (@var "J" Int)) % 45.80/46.07 (define @t41 () (tptp.t2tb1 @t40)) % 45.80/46.07 (define @t42 () (@var "G2" tptp.map_int_int)) % 45.80/46.07 (define @t43 () (tptp.t2tb @t42)) % 45.80/46.07 (define @t44 () (@var "G1" tptp.map_int_int)) % 45.80/46.07 (define @t45 () (tptp.t2tb @t44)) % 45.80/46.07 (define @t46 () (@var "B" Int)) % 45.80/46.07 (define @t47 () (@var "A" Int)) % 45.80/46.07 (define @t48 () (@list @t40)) % 45.80/46.07 (define @t49 () (tptp.grid_eq_sub1 @t44 @t42 @t47 @t46)) % 45.80/46.07 (define @t50 () (@list @t44 @t42 @t47 @t46)) % 45.80/46.07 (define @t51 () (tptp.array @t1)) % 45.80/46.07 (define @t52 () (@list @t1 @t12 @t3)) % 45.80/46.07 (define @t53 () (@var "U" Int)) % 45.80/46.07 (define @t54 () (@var "U1" tptp.uni)) % 45.80/46.07 (define @t55 () (tptp.mk_array1 @t1 @t53 @t54)) % 45.80/46.07 (define @t56 () (@list @t1 @t53 @t54)) % 45.80/46.07 (define @t57 () (tptp.map tptp.int @t1)) % 45.80/46.07 (define @t58 () (@var "U" tptp.uni)) % 45.80/46.07 (define @t59 () (@var "X1" Int)) % 45.80/46.07 (define @t60 () (tptp.elts @t1 @t18)) % 45.80/46.07 (define @t61 () (@var "V" tptp.uni)) % 45.80/46.07 (define @t62 () (@var "N" Int)) % 45.80/46.07 (define @t63 () (@var "U" tptp.array_int)) % 45.80/46.07 (define @t64 () (@var "U5" tptp.array_int)) % 45.80/46.07 (define @t65 () (@var "U4" tptp.array_int)) % 45.80/46.07 (define @t66 () (@var "U3" tptp.array_int)) % 45.80/46.07 (define @t67 () (@var "U2" tptp.array_int)) % 45.80/46.07 (define @t68 () (@var "U1" tptp.array_int)) % 45.80/46.07 (define @t69 () (tptp.mk_sudoku_chunks1 @t63 @t68 @t67 @t66 @t65 @t64)) % 45.80/46.07 (define @t70 () (tptp.column_start1 @t69)) % 45.80/46.07 (define @t71 () (@list @t63 @t68 @t67 @t66 @t65 @t64)) % 45.80/46.07 (define @t72 () (forall @t71 (= @t70 @t63))) % 45.80/46.07 (define @t73 () (tptp.column_offsets1 @t69)) % 45.80/46.07 (define @t74 () (forall @t71 (= @t73 @t68))) % 45.80/46.07 (define @t75 () (tptp.row_start1 @t69)) % 45.80/46.07 (define @t76 () (forall @t71 (= @t75 @t67))) % 45.80/46.07 (define @t77 () (tptp.row_offsets1 @t69)) % 45.80/46.07 (define @t78 () (forall @t71 (= @t77 @t66))) % 45.80/46.07 (define @t79 () (tptp.square_start1 @t69)) % 45.80/46.07 (define @t80 () (forall @t71 (= @t79 @t65))) % 45.80/46.07 (define @t81 () (tptp.square_offsets1 @t69)) % 45.80/46.07 (define @t82 () (forall @t71 (= @t81 @t64))) % 45.80/46.07 (define @t83 () (@var "U" tptp.sudoku_chunks1)) % 45.80/46.07 (define @t84 () (@var "X" tptp.array_int)) % 45.80/46.07 (define @t85 () (@var "I" tptp.array_int)) % 45.80/46.07 (define @t86 () (@var "O" Int)) % 45.80/46.07 (define @t87 () (@var "Offsets" tptp.array_int)) % 45.80/46.07 (define @t88 () (tptp.t2tb2 @t87)) % 45.80/46.07 (define @t89 () (tptp.tb2t1 (tptp.get2 tptp.int @t88 @t86))) % 45.80/46.07 (define @t90 () (@var "Start" tptp.array_int)) % 45.80/46.07 (define @t91 () (tptp.t2tb2 @t90)) % 45.80/46.07 (define @t92 () (tptp.tb2t1 (tptp.get2 tptp.int @t91 @t23))) % 45.80/46.07 (define @t93 () (< @t86 9)) % 45.80/46.07 (define @t94 () (<= 0 @t86)) % 45.80/46.07 (define @t95 () (= (tptp.length1 tptp.int @t88) 9)) % 45.80/46.07 (define @t96 () (= (tptp.length1 tptp.int @t91) 81)) % 45.80/46.07 (define @t97 () (@list @t90 @t87)) % 45.80/46.07 (define @t98 () (@var "I2" Int)) % 45.80/46.07 (define @t99 () (tptp.tb2t1 (tptp.get2 tptp.int @t91 @t98))) % 45.80/46.07 (define @t100 () (@var "I1" Int)) % 45.80/46.07 (define @t101 () (@var "S" tptp.sudoku_chunks1)) % 45.80/46.07 (define @t102 () (tptp.square_offsets1 @t101)) % 45.80/46.07 (define @t103 () (tptp.square_start1 @t101)) % 45.80/46.07 (define @t104 () (tptp.row_offsets1 @t101)) % 45.80/46.07 (define @t105 () (tptp.row_start1 @t101)) % 45.80/46.07 (define @t106 () (tptp.column_offsets1 @t101)) % 45.80/46.07 (define @t107 () (tptp.column_start1 @t101)) % 45.80/46.07 (define @t108 () (tptp.well_formed_sudoku1 @t101)) % 45.80/46.07 (define @t109 () (@var "O2" Int)) % 45.80/46.07 (define @t110 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t36 (tptp.t2tb1 (+ @t92 (tptp.tb2t1 (tptp.get2 tptp.int @t88 @t109))))))) % 45.80/46.07 (define @t111 () (@var "O1" Int)) % 45.80/46.07 (define @t112 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t36 (tptp.t2tb1 (+ @t92 (tptp.tb2t1 (tptp.get2 tptp.int @t88 @t111))))))) % 45.80/46.07 (define @t113 () (=> (and (<= 1 @t112) (<= @t112 9) (<= 1 @t110) (<= @t110 9)) (not (= @t112 @t110)))) % 45.80/46.07 (define @t114 () (not (= @t111 @t109))) % 45.80/46.07 (define @t115 () (<= 0 @t109)) % 45.80/46.07 (define @t116 () (<= 0 @t111)) % 45.80/46.07 (define @t117 () (@list @t111 @t109)) % 45.80/46.07 (define @t118 () (tptp.valid_column1 @t101 @t35 @t23)) % 45.80/46.07 (define @t119 () (@list @t101 @t35 @t23)) % 45.80/46.07 (define @t120 () (tptp.valid_row1 @t101 @t35 @t23)) % 45.80/46.07 (define @t121 () (tptp.valid_square1 @t101 @t35 @t23)) % 45.80/46.07 (define @t122 () (and @t118 @t120 @t121)) % 45.80/46.07 (define @t123 () (forall @t28 (=> @t26 @t122))) % 45.80/46.07 (define @t124 () (tptp.valid1 @t101 @t35)) % 45.80/46.07 (define @t125 () (= @t124 @t123)) % 45.80/46.07 (define @t126 () (forall (@list @t101 @t35) @t125)) % 45.80/46.07 (define @t127 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t45 @t34))) % 45.80/46.07 (define @t128 () (@var "O" tptp.array_int)) % 45.80/46.07 (define @t129 () (@var "S" tptp.array_int)) % 45.80/46.07 (define @t130 () (@var "H" tptp.map_int_int)) % 45.80/46.07 (define @t131 () (tptp.included1 @t35 @t130)) % 45.80/46.07 (define @t132 () (@var "Sol" tptp.map_int_int)) % 45.80/46.07 (define @t133 () (@var "Data" tptp.map_int_int)) % 45.80/46.07 (define @t134 () (@var "Off" Int)) % 45.80/46.07 (define @t135 () (and (tptp.valid_column1 @t101 @t35 @t40) (tptp.valid_row1 @t101 @t35 @t40) (tptp.valid_square1 @t101 @t35 @t40))) % 45.80/46.07 (define @t136 () (and (<= 0 @t40) (< @t40 @t23))) % 45.80/46.07 (define @t137 () (=> @t136 @t135)) % 45.80/46.07 (define @t138 () (forall @t48 @t137)) % 45.80/46.07 (define @t139 () (tptp.valid_up_to1 @t101 @t35 @t23)) % 45.80/46.07 (define @t140 () (= @t139 @t138)) % 45.80/46.07 (define @t141 () (forall @t119 @t140)) % 45.80/46.07 (define @t142 () (@var "S11" tptp.map_int_int)) % 45.80/46.07 (define @t143 () (@var "S10" Int)) % 45.80/46.07 (define @t144 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t143 (tptp.t2tb @t142)))) % 45.80/46.07 (define @t145 () (@var "S9" tptp.map_int_int)) % 45.80/46.07 (define @t146 () (@var "S8" Int)) % 45.80/46.07 (define @t147 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t146 (tptp.t2tb @t145)))) % 45.80/46.07 (define @t148 () (@var "S7" tptp.map_int_int)) % 45.80/46.07 (define @t149 () (@var "S6" Int)) % 45.80/46.07 (define @t150 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t149 (tptp.t2tb @t148)))) % 45.80/46.07 (define @t151 () (@var "S5" tptp.map_int_int)) % 45.80/46.07 (define @t152 () (@var "S4" Int)) % 45.80/46.07 (define @t153 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t152 (tptp.t2tb @t151)))) % 45.80/46.07 (define @t154 () (@var "S3" tptp.map_int_int)) % 45.80/46.07 (define @t155 () (@var "S2" Int)) % 45.80/46.07 (define @t156 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t155 (tptp.t2tb @t154)))) % 45.80/46.07 (define @t157 () (@var "S1" tptp.map_int_int)) % 45.80/46.07 (define @t158 () (@var "S" Int)) % 45.80/46.07 (define @t159 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t158 (tptp.t2tb @t157)))) % 45.80/46.07 (define @t160 () (tptp.mk_sudoku_chunks1 @t159 @t156 @t153 @t150 @t147 @t144)) % 45.80/46.07 (define @t161 () (tptp.valid1 @t160 @t44)) % 45.80/46.07 (define @t162 () (+ 80 1)) % 45.80/46.07 (define @t163 () (tptp.valid_up_to1 @t160 @t44 @t162)) % 45.80/46.07 (define @t164 () (=> @t163 @t161)) % 45.80/46.07 (define @t165 () (not @t161)) % 45.80/46.07 (define @t166 () (tptp.valid_chunk1 @t44 @t23 @t159 @t156)) % 45.80/46.07 (define @t167 () (not @t166)) % 45.80/46.07 (define @t168 () (=> @t167 @t165)) % 45.80/46.07 (define @t169 () (tptp.valid_chunk1 @t44 @t23 @t153 @t150)) % 45.80/46.07 (define @t170 () (not @t169)) % 45.80/46.07 (define @t171 () (=> @t170 @t165)) % 45.80/46.07 (define @t172 () (tptp.valid_chunk1 @t44 @t23 @t147 @t144)) % 45.80/46.07 (define @t173 () (not @t172)) % 45.80/46.07 (define @t174 () (=> @t173 @t165)) % 45.80/46.07 (define @t175 () (+ @t23 1)) % 45.80/46.07 (define @t176 () (tptp.valid_up_to1 @t160 @t44 @t175)) % 45.80/46.07 (define @t177 () (=> @t172 @t176)) % 45.80/46.07 (define @t178 () (tptp.chunk_valid_indexes1 @t147 @t144)) % 45.80/46.07 (define @t179 () (tptp.valid_values1 @t44)) % 45.80/46.07 (define @t180 () (@var "G" Int)) % 45.80/46.07 (define @t181 () (= @t180 81)) % 45.80/46.07 (define @t182 () (and @t181 @t179 @t26 @t178 @t177 @t174)) % 45.80/46.07 (define @t183 () (=> @t169 @t182)) % 45.80/46.07 (define @t184 () (tptp.chunk_valid_indexes1 @t153 @t150)) % 45.80/46.07 (define @t185 () (and @t181 @t179 @t26 @t184 @t183 @t171)) % 45.80/46.07 (define @t186 () (=> @t166 @t185)) % 45.80/46.07 (define @t187 () (tptp.chunk_valid_indexes1 @t159 @t156)) % 45.80/46.07 (define @t188 () (and @t181 @t179 @t26 @t187 @t186 @t168)) % 45.80/46.07 (define @t189 () (tptp.valid_up_to1 @t160 @t44 @t23)) % 45.80/46.07 (define @t190 () (=> @t189 @t188)) % 45.80/46.07 (define @t191 () (and @t24 (<= @t23 80))) % 45.80/46.07 (define @t192 () (=> @t191 @t190)) % 45.80/46.07 (define @t193 () (forall @t28 @t192)) % 45.80/46.07 (define @t194 () (tptp.valid_up_to1 @t160 @t44 0)) % 45.80/46.07 (define @t195 () (and @t194 @t193 @t164)) % 45.80/46.07 (define @t196 () (<= 0 80)) % 45.80/46.07 (define @t197 () (=> @t196 @t195)) % 45.80/46.07 (define @t198 () (< 80 0)) % 45.80/46.07 (define @t199 () (=> @t198 @t161)) % 45.80/46.07 (define @t200 () (and @t199 @t197)) % 45.80/46.07 (define @t201 () (tptp.well_formed_sudoku1 @t160)) % 45.80/46.07 (define @t202 () (and (<= 0 @t158) (<= 0 @t155) (<= 0 @t152) (<= 0 @t149) (<= 0 @t146) (<= 0 @t143) (<= 0 @t180) @t201 @t181 @t179)) % 45.80/46.07 (define @t203 () (=> @t202 @t200)) % 45.80/46.07 (define @t204 () (@list @t158 @t157 @t155 @t154 @t152 @t151 @t149 @t148 @t146 @t145 @t143 @t142 @t180 @t44)) % 45.80/46.07 (define @t205 () (forall @t204 @t203)) % 45.80/46.07 (define @t206 () (not @t205)) % 45.80/46.07 (define @t207 () (* -1 @t40)) % 45.80/46.07 (define @t208 () (+ @t23 @t207)) % 45.80/46.07 (define @t209 () (>= @t208 1)) % 45.80/46.07 (define @t210 () (not @t209)) % 45.80/46.07 (define @t211 () (>= @t40 0)) % 45.80/46.07 (define @t212 () (not @t211)) % 45.80/46.07 (define @t213 () (or @t212 @t210 @t135)) % 45.80/46.07 (define @t214 () (and @t211 @t209)) % 45.80/46.07 (define @t215 () (+ @t208 1)) % 45.80/46.07 (define @t216 () (>= @t40 @t23)) % 45.80/46.07 (define @t217 () (tptp.valid_up_to1 @t160 @t44 81)) % 45.80/46.07 (define @t218 () (or (not @t217) @t161)) % 45.80/46.07 (define @t219 () (@var "BOUND_VARIABLE_8536" Int)) % 45.80/46.07 (define @t220 () (tptp.valid_chunk1 @t44 @t219 @t159 @t156)) % 45.80/46.07 (define @t221 () (or @t220 @t165)) % 45.80/46.07 (define @t222 () (tptp.valid_chunk1 @t44 @t219 @t153 @t150)) % 45.80/46.07 (define @t223 () (or @t222 @t165)) % 45.80/46.07 (define @t224 () (tptp.valid_chunk1 @t44 @t219 @t147 @t144)) % 45.80/46.07 (define @t225 () (or @t224 @t165)) % 45.80/46.07 (define @t226 () (or (not @t224) (tptp.valid_up_to1 @t160 @t44 (+ 1 @t219)))) % 45.80/46.07 (define @t227 () (tptp.is_index1 @t219)) % 45.80/46.07 (define @t228 () (and @t179 @t227 @t178 @t226 @t225)) % 45.80/46.07 (define @t229 () (not @t222)) % 45.80/46.07 (define @t230 () (or @t229 @t228)) % 45.80/46.07 (define @t231 () (and @t179 @t227 @t184 @t230 @t223)) % 45.80/46.07 (define @t232 () (not @t220)) % 45.80/46.07 (define @t233 () (or @t232 @t231)) % 45.80/46.07 (define @t234 () (and @t179 @t227 @t187 @t233 @t221)) % 45.80/46.07 (define @t235 () (not (tptp.valid_up_to1 @t160 @t44 @t219))) % 45.80/46.07 (define @t236 () (>= @t219 81)) % 45.80/46.07 (define @t237 () (not (>= @t219 0))) % 45.80/46.07 (define @t238 () (and @t194 (or @t237 @t236 @t235 @t234) @t218)) % 45.80/46.07 (define @t239 () (not @t179)) % 45.80/46.07 (define @t240 () (not @t201)) % 45.80/46.07 (define @t241 () (>= @t143 0)) % 45.80/46.07 (define @t242 () (not @t241)) % 45.80/46.07 (define @t243 () (>= @t146 0)) % 45.80/46.07 (define @t244 () (not @t243)) % 45.80/46.07 (define @t245 () (>= @t149 0)) % 45.80/46.07 (define @t246 () (not @t245)) % 45.80/46.07 (define @t247 () (>= @t152 0)) % 45.80/46.07 (define @t248 () (not @t247)) % 45.80/46.07 (define @t249 () (>= @t155 0)) % 45.80/46.07 (define @t250 () (not @t249)) % 45.80/46.07 (define @t251 () (>= @t158 0)) % 45.80/46.07 (define @t252 () (not @t251)) % 45.80/46.07 (define @t253 () (or @t252 @t250 @t248 @t246 @t244 @t242 @t240 @t239 @t238)) % 45.80/46.07 (define @t254 () (@list @t158 @t157 @t155 @t154 @t152 @t151 @t149 @t148 @t146 @t145 @t143 @t142 @t44 @t219)) % 45.80/46.07 (define @t255 () (forall @t254 @t253)) % 45.80/46.07 (define @t256 () (@quantifiers_skolemize @t255 12)) % 45.80/46.07 (define @t257 () (@quantifiers_skolemize @t255 10)) % 45.80/46.07 (define @t258 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t257 (tptp.t2tb (@quantifiers_skolemize @t255 11))))) % 45.80/46.07 (define @t259 () (@quantifiers_skolemize @t255 8)) % 45.80/46.07 (define @t260 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t259 (tptp.t2tb (@quantifiers_skolemize @t255 9))))) % 45.80/46.07 (define @t261 () (@quantifiers_skolemize @t255 6)) % 45.80/46.07 (define @t262 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t261 (tptp.t2tb (@quantifiers_skolemize @t255 7))))) % 45.80/46.07 (define @t263 () (@quantifiers_skolemize @t255 4)) % 45.80/46.07 (define @t264 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t263 (tptp.t2tb (@quantifiers_skolemize @t255 5))))) % 45.80/46.07 (define @t265 () (@quantifiers_skolemize @t255 2)) % 45.80/46.07 (define @t266 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t265 (tptp.t2tb (@quantifiers_skolemize @t255 3))))) % 45.80/46.07 (define @t267 () (@quantifiers_skolemize @t255 0)) % 45.80/46.07 (define @t268 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t267 (tptp.t2tb (@quantifiers_skolemize @t255 1))))) % 45.80/46.07 (define @t269 () (tptp.mk_sudoku_chunks1 @t268 @t266 @t264 @t262 @t260 @t258)) % 45.80/46.07 (define @t270 () (and (tptp.valid_column1 @t269 @t256 @t40) (tptp.valid_row1 @t269 @t256 @t40) (tptp.valid_square1 @t269 @t256 @t40))) % 45.80/46.07 (define @t271 () (@quantifiers_skolemize @t255 13)) % 45.80/46.07 (define @t272 () (* -1 @t271)) % 45.80/46.07 (define @t273 () (+ @t40 @t272)) % 45.80/46.07 (define @t274 () (>= @t273 1)) % 45.80/46.07 (define @t275 () (+ 1 @t207 @t271)) % 45.80/46.07 (define @t276 () (+ @t273 1)) % 45.80/46.07 (define @t277 () (+ @t271 @t207 1)) % 45.80/46.07 (define @t278 () (+ 1 @t271)) % 45.80/46.07 (define @t279 () (+ @t278 @t207)) % 45.80/46.07 (define @t280 () (>= @t279 1)) % 45.80/46.07 (define @t281 () (not @t280)) % 45.80/46.07 (define @t282 () (or @t212 @t281 @t270)) % 45.80/46.07 (define @t283 () (forall @t48 @t282)) % 45.80/46.07 (define @t284 () (tptp.valid_up_to1 @t269 @t256 @t278)) % 45.80/46.07 (define @t285 () (= @t284 @t283)) % 45.80/46.07 (define @t286 () (forall @t119 (= @t139 (forall @t48 @t213)))) % 45.80/46.07 (define @t287 () (forall @t48 (or @t212 @t274 @t270))) % 45.80/46.07 (define @t288 () (= @t284 @t287)) % 45.80/46.07 (define @t289 () (@list false)) % 45.80/46.07 (define @t290 () (@list @t286)) % 45.80/46.07 (define @t291 () (forall @t28 (or (not @t26) (and (tptp.valid_column1 @t269 @t256 @t23) (tptp.valid_row1 @t269 @t256 @t23) (tptp.valid_square1 @t269 @t256 @t23))))) % 45.80/46.07 (define @t292 () (@list @t271)) % 45.80/46.07 (define @t293 () (tptp.valid_square1 @t269 @t256 @t271)) % 45.80/46.07 (define @t294 () (tptp.valid_row1 @t269 @t256 @t271)) % 45.80/46.07 (define @t295 () (tptp.valid_column1 @t269 @t256 @t271)) % 45.80/46.07 (define @t296 () (and @t295 @t294 @t293)) % 45.80/46.07 (define @t297 () (tptp.is_index1 @t271)) % 45.80/46.07 (define @t298 () (not @t297)) % 45.80/46.07 (define @t299 () (or @t298 @t296)) % 45.80/46.07 (define @t300 () (@quantifiers_skolemize @t287 0)) % 45.80/46.07 (define @t301 () (@list @t300)) % 45.80/46.07 (define @t302 () (tptp.valid_square1 @t269 @t256 @t300)) % 45.80/46.07 (define @t303 () (tptp.valid_row1 @t269 @t256 @t300)) % 45.80/46.07 (define @t304 () (tptp.valid_column1 @t269 @t256 @t300)) % 45.80/46.07 (define @t305 () (and @t304 @t303 @t302)) % 45.80/46.07 (define @t306 () (tptp.is_index1 @t300)) % 45.80/46.07 (define @t307 () (not @t306)) % 45.80/46.07 (define @t308 () (or @t307 @t305)) % 45.80/46.07 (define @t309 () (tptp.valid_up_to1 @t269 @t256 81)) % 45.80/46.07 (define @t310 () (tptp.valid1 @t269 @t256)) % 45.80/46.07 (define @t311 () (not @t309)) % 45.80/46.07 (define @t312 () (or @t311 @t310)) % 45.80/46.07 (define @t313 () (not @t310)) % 45.80/46.07 (define @t314 () (>= @t40 81)) % 45.80/46.07 (define @t315 () (+ 81 @t207)) % 45.80/46.07 (define @t316 () (+ @t40 1)) % 45.80/46.07 (define @t317 () (>= @t315 1)) % 45.80/46.07 (define @t318 () (not @t317)) % 45.80/46.07 (define @t319 () (or @t212 @t318 @t270)) % 45.80/46.07 (define @t320 () (forall @t48 @t319)) % 45.80/46.07 (define @t321 () (= @t309 @t320)) % 45.80/46.07 (define @t322 () (forall @t48 (or @t212 @t314 @t270))) % 45.80/46.07 (define @t323 () (= @t309 @t322)) % 45.80/46.07 (define @t324 () (= @t310 @t291)) % 45.80/46.07 (define @t325 () (not @t324)) % 45.80/46.07 (define @t326 () (not @t291)) % 45.80/46.07 (define @t327 () (@quantifiers_skolemize @t291 0)) % 45.80/46.07 (define @t328 () (@list @t327)) % 45.80/46.07 (define @t329 () (and (tptp.valid_column1 @t269 @t256 @t327) (tptp.valid_row1 @t269 @t256 @t327) (tptp.valid_square1 @t269 @t256 @t327))) % 45.80/46.07 (define @t330 () (>= @t327 81)) % 45.80/46.07 (define @t331 () (>= @t327 0)) % 45.80/46.07 (define @t332 () (not @t331)) % 45.80/46.07 (define @t333 () (or @t332 @t330 @t329)) % 45.80/46.07 (define @t334 () (tptp.is_index1 @t327)) % 45.80/46.07 (define @t335 () (not @t334)) % 45.80/46.07 (define @t336 () (or @t335 @t329)) % 45.80/46.07 (define @t337 () (not @t336)) % 45.80/46.07 (define @t338 () (not @t330)) % 45.80/46.07 (define @t339 () (and @t331 @t338)) % 45.80/46.07 (define @t340 () (= @t334 @t339)) % 45.80/46.07 (define @t341 () (not @t339)) % 45.80/46.07 (define @t342 () (tptp.valid_up_to1 @t269 @t256 0)) % 45.80/46.07 (define @t343 () (+ 0 @t207)) % 45.80/46.07 (define @t344 () (>= @t343 1)) % 45.80/46.07 (define @t345 () (not @t344)) % 45.80/46.07 (define @t346 () (or @t212 @t345 @t270)) % 45.80/46.07 (define @t347 () (forall @t48 @t346)) % 45.80/46.07 (define @t348 () (= @t342 @t347)) % 45.80/46.07 (define @t349 () (= 81 81)) % 45.80/46.07 (define @t350 () (and @t349 @t179 @t227 @t178 @t226 @t225)) % 45.80/46.07 (define @t351 () (or @t229 @t350)) % 45.80/46.07 (define @t352 () (and @t349 @t179 @t227 @t184 @t351 @t223)) % 45.80/46.07 (define @t353 () (or @t232 @t352)) % 45.80/46.07 (define @t354 () (and @t349 @t179 @t227 @t187 @t353 @t221)) % 45.80/46.07 (define @t355 () (or @t237 @t236 @t235 @t354)) % 45.80/46.07 (define @t356 () (and @t194 @t355 @t218)) % 45.80/46.07 (define @t357 () (not @t349)) % 45.80/46.07 (define @t358 () (>= 81 0)) % 45.80/46.07 (define @t359 () (not @t358)) % 45.80/46.07 (define @t360 () (or @t252 @t250 @t248 @t246 @t244 @t242 @t359 @t240 @t357 @t239 @t356)) % 45.80/46.07 (define @t361 () (or @t237 @t236 @t235 (and @t181 @t179 @t227 @t187 (or @t232 (and @t181 @t179 @t227 @t184 (or @t229 (and @t181 @t179 @t227 @t178 @t226 @t225)) @t223)) @t221))) % 45.80/46.07 (define @t362 () (and @t194 @t361 @t218)) % 45.80/46.07 (define @t363 () (not @t181)) % 45.80/46.07 (define @t364 () (>= @t180 0)) % 45.80/46.07 (define @t365 () (not @t364)) % 45.80/46.07 (define @t366 () (or @t363 @t252 @t250 @t248 @t246 @t244 @t242 @t365 @t240 @t363 @t239 @t362)) % 45.80/46.07 (define @t367 () (@list @t180)) % 45.80/46.07 (define @t368 () (or @t252 @t250 @t248 @t246 @t244 @t242 @t365 @t240 @t363 @t239 @t362)) % 45.80/46.07 (define @t369 () (forall @t367 @t368)) % 45.80/46.07 (define @t370 () (forall @t254 @t369)) % 45.80/46.07 (define @t371 () (forall (@list @t158 @t157 @t155 @t154 @t152 @t151 @t149 @t148 @t146 @t145 @t143 @t142 @t44 @t219 @t180) @t368)) % 45.80/46.07 (define @t372 () (forall (@list @t158 @t157 @t155 @t154 @t152 @t151 @t149 @t148 @t146 @t145 @t143 @t142 @t180 @t44 @t219) @t368)) % 45.80/46.07 (define @t373 () (@list @t219)) % 45.80/46.07 (define @t374 () (forall @t373 @t368)) % 45.80/46.07 (define @t375 () (forall @t373 @t218)) % 45.80/46.07 (define @t376 () (forall @t373 @t361)) % 45.80/46.07 (define @t377 () (forall @t373 @t194)) % 45.80/46.07 (define @t378 () (and @t377 @t376 @t375)) % 45.80/46.07 (define @t379 () (forall @t373 @t362)) % 45.80/46.07 (define @t380 () (or @t252 @t250 @t248 @t246 @t244 @t242 @t365 @t240 @t363 @t239 @t379)) % 45.80/46.07 (define @t381 () (+ 1 @t23)) % 45.80/46.07 (define @t382 () (tptp.valid_up_to1 @t160 @t44 @t381)) % 45.80/46.07 (define @t383 () (and @t181 @t179 @t26 @t187 (or @t167 (and @t181 @t179 @t26 @t184 (or @t170 (and @t181 @t179 @t26 @t178 (or @t173 @t382) (or @t172 @t165))) (or @t169 @t165))) (or @t166 @t165))) % 45.80/46.07 (define @t384 () (not @t189)) % 45.80/46.07 (define @t385 () (>= @t23 81)) % 45.80/46.07 (define @t386 () (>= @t23 0)) % 45.80/46.07 (define @t387 () (not @t386)) % 45.80/46.07 (define @t388 () (or @t387 @t385 @t384 @t383)) % 45.80/46.07 (define @t389 () (forall @t28 @t388)) % 45.80/46.07 (define @t390 () (and @t194 @t389 @t218)) % 45.80/46.07 (define @t391 () (or @t252 @t250 @t248 @t246 @t244 @t242 @t365 @t240 @t363 @t239 @t390)) % 45.80/46.07 (define @t392 () (or @t252 @t250 @t248 @t246 @t244 @t242 @t365 @t240 @t363 @t239)) % 45.80/46.07 (define @t393 () (and @t194 @t389 (=> @t217 @t161))) % 45.80/46.07 (define @t394 () (and @t251 @t249 @t247 @t245 @t243 @t241 @t364 @t201 @t181 @t179)) % 45.80/46.07 (define @t395 () (and @t181 @t179 @t26 @t178 (=> @t172 @t382) @t174)) % 45.80/46.07 (define @t396 () (and @t181 @t179 @t26 @t184 (=> @t169 @t395) @t171)) % 45.80/46.07 (define @t397 () (and @t181 @t179 @t26 @t187 (=> @t166 @t396) @t168)) % 45.80/46.07 (define @t398 () (not @t385)) % 45.80/46.07 (define @t399 () (=> @t189 @t397)) % 45.80/46.07 (define @t400 () (and @t386 @t398)) % 45.80/46.07 (define @t401 () (>= @t23 @t162)) % 45.80/46.07 (define @t402 () (tptp.valid_chunk1 @t256 @t271 @t268 @t266)) % 45.80/46.07 (define @t403 () (or @t402 @t313)) % 45.80/46.07 (define @t404 () (tptp.valid_chunk1 @t256 @t271 @t264 @t262)) % 45.80/46.07 (define @t405 () (or @t404 @t313)) % 45.80/46.07 (define @t406 () (tptp.valid_chunk1 @t256 @t271 @t260 @t258)) % 45.80/46.07 (define @t407 () (or @t406 @t313)) % 45.80/46.07 (define @t408 () (not @t406)) % 45.80/46.07 (define @t409 () (or @t408 @t284)) % 45.80/46.07 (define @t410 () (tptp.chunk_valid_indexes1 @t260 @t258)) % 45.80/46.07 (define @t411 () (tptp.valid_values1 @t256)) % 45.80/46.07 (define @t412 () (and @t411 @t297 @t410 @t409 @t407)) % 45.80/46.07 (define @t413 () (not @t404)) % 45.80/46.07 (define @t414 () (or @t413 @t412)) % 45.80/46.07 (define @t415 () (tptp.chunk_valid_indexes1 @t264 @t262)) % 45.80/46.07 (define @t416 () (and @t411 @t297 @t415 @t414 @t405)) % 45.80/46.07 (define @t417 () (not @t402)) % 45.80/46.07 (define @t418 () (or @t417 @t416)) % 45.80/46.07 (define @t419 () (tptp.chunk_valid_indexes1 @t268 @t266)) % 45.80/46.07 (define @t420 () (and @t411 @t297 @t419 @t418 @t403)) % 45.80/46.07 (define @t421 () (tptp.valid_up_to1 @t269 @t256 @t271)) % 45.80/46.07 (define @t422 () (not @t421)) % 45.80/46.07 (define @t423 () (>= @t271 81)) % 45.80/46.07 (define @t424 () (>= @t271 0)) % 45.80/46.07 (define @t425 () (not @t424)) % 45.80/46.07 (define @t426 () (or @t425 @t423 @t422 @t420)) % 45.80/46.07 (define @t427 () (and @t342 @t426 @t312)) % 45.80/46.07 (define @t428 () (not @t411)) % 45.80/46.07 (define @t429 () (tptp.well_formed_sudoku1 @t269)) % 45.80/46.07 (define @t430 () (not @t429)) % 45.80/46.07 (define @t431 () (or (not (>= @t267 0)) (not (>= @t265 0)) (not (>= @t263 0)) (not (>= @t261 0)) (not (>= @t259 0)) (not (>= @t257 0)) @t430 @t428 @t427)) % 45.80/46.07 (define @t432 () (@list true)) % 45.80/46.07 (define @t433 () (@list @t431)) % 45.80/46.07 (define @t434 () (not @t423)) % 45.80/46.07 (define @t435 () (@list @t426)) % 45.80/46.07 (define @t436 () (and @t424 @t434)) % 45.80/46.07 (define @t437 () (@list false true)) % 45.80/46.07 (define @t438 () (= @t297 @t436)) % 45.80/46.07 (define @t439 () (@list false false)) % 45.80/46.07 (define @t440 () (not @t296)) % 45.80/46.07 (define @t441 () (@list @t269 @t256 @t271)) % 45.80/46.07 (define @t442 () (tptp.column_offsets1 @t269)) % 45.80/46.07 (define @t443 () (tptp.column_start1 @t269)) % 45.80/46.07 (define @t444 () (tptp.valid_chunk1 @t256 @t271 @t443 @t442)) % 45.80/46.07 (define @t445 () (= @t295 @t444)) % 45.80/46.07 (define @t446 () (tptp.row_offsets1 @t269)) % 45.80/46.07 (define @t447 () (tptp.row_start1 @t269)) % 45.80/46.07 (define @t448 () (tptp.valid_chunk1 @t256 @t271 @t447 @t446)) % 45.80/46.07 (define @t449 () (= @t294 @t448)) % 45.80/46.07 (define @t450 () (tptp.square_offsets1 @t269)) % 45.80/46.07 (define @t451 () (tptp.square_start1 @t269)) % 45.80/46.07 (define @t452 () (tptp.valid_chunk1 @t256 @t271 @t451 @t450)) % 45.80/46.07 (define @t453 () (= @t293 @t452)) % 45.80/46.07 (define @t454 () (@list @t268 @t266 @t264 @t262 @t260 @t258)) % 45.80/46.07 (define @t455 () (= @t268 @t443)) % 45.80/46.07 (define @t456 () (= @t266 @t442)) % 45.80/46.07 (define @t457 () (and @t455 @t456 @t444)) % 45.80/46.07 (define @t458 () (not @t456)) % 45.80/46.07 (define @t459 () (not @t455)) % 45.80/46.07 (define @t460 () (= @t264 @t447)) % 45.80/46.07 (define @t461 () (= @t262 @t446)) % 45.80/46.07 (define @t462 () (and @t460 @t461 @t448)) % 45.80/46.07 (define @t463 () (not @t461)) % 45.80/46.07 (define @t464 () (not @t460)) % 45.80/46.07 (define @t465 () (= @t260 @t451)) % 45.80/46.07 (define @t466 () (= @t258 @t450)) % 45.80/46.07 (define @t467 () (and @t465 @t466 @t452)) % 45.80/46.07 (define @t468 () (not @t466)) % 45.80/46.07 (define @t469 () (not @t465)) % 45.80/46.07 (define @t470 () (tptp.chunk_valid_indexes1 @t451 @t450)) % 45.80/46.07 (define @t471 () (tptp.chunk_valid_indexes1 @t447 @t446)) % 45.80/46.07 (define @t472 () (tptp.chunk_valid_indexes1 @t443 @t442)) % 45.80/46.07 (define @t473 () (and @t472 @t471 @t470 (tptp.disjoint_chunks1 @t443 @t442) (tptp.disjoint_chunks1 @t447 @t446) (tptp.disjoint_chunks1 @t451 @t450))) % 45.80/46.07 (define @t474 () (= @t429 @t473)) % 45.80/46.07 (define @t475 () (not @t473)) % 45.80/46.07 (define @t476 () (@list @t473)) % 45.80/46.07 (define @t477 () (not @t418)) % 45.80/46.07 (define @t478 () (not @t414)) % 45.80/46.07 (define @t479 () (not @t409)) % 45.80/46.07 (define @t480 () (not @t287)) % 45.80/46.07 (define @t481 () (+ @t271 (* -1 @t300))) % 45.80/46.07 (define @t482 () (>= @t481 0)) % 45.80/46.07 (define @t483 () (not @t482)) % 45.80/46.07 (define @t484 () (>= @t300 0)) % 45.80/46.07 (define @t485 () (not @t484)) % 45.80/46.07 (define @t486 () (or @t485 @t483 @t305)) % 45.80/46.07 (define @t487 () (not @t486)) % 45.80/46.07 (define @t488 () (+ @t272 @t300)) % 45.80/46.07 (define @t489 () (+ @t481 1)) % 45.80/46.07 (define @t490 () (+ @t300 @t272)) % 45.80/46.07 (define @t491 () (>= @t490 1)) % 45.80/46.07 (define @t492 () (or @t485 @t491 @t305)) % 45.80/46.07 (define @t493 () (not @t492)) % 45.80/46.07 (define @t494 () (>= @t273 0)) % 45.80/46.07 (define @t495 () (+ @t207 @t271)) % 45.80/46.07 (define @t496 () (+ @t271 @t207)) % 45.80/46.07 (define @t497 () (>= @t496 1)) % 45.80/46.07 (define @t498 () (not @t497)) % 45.80/46.07 (define @t499 () (or @t212 @t498 @t270)) % 45.80/46.07 (define @t500 () (forall @t48 @t499)) % 45.80/46.07 (define @t501 () (= @t421 @t500)) % 45.80/46.07 (define @t502 () (forall @t48 (or @t212 @t494 @t270))) % 45.80/46.07 (define @t503 () (= @t421 @t502)) % 45.80/46.07 (define @t504 () (>= @t490 0)) % 45.80/46.07 (define @t505 () (or @t485 @t504 @t305)) % 45.80/46.07 (define @t506 () (>= @t481 1)) % 45.80/46.07 (define @t507 () (not @t506)) % 45.80/46.07 (define @t508 () (or @t485 @t507 @t305)) % 45.80/46.07 (define @t509 () (= @t297 @t306)) % 45.80/46.07 (define @t510 () (= @t271 @t300)) % 45.80/46.07 (define @t511 () (not @t510)) % 45.80/46.07 (define @t512 () (= @t481 0)) % 45.80/46.07 (define @t513 () (@list true false)) % 45.80/46.07 (define @t514 () (not @t313)) % 45.80/46.07 (define @t515 () (@list @t310)) % 45.80/46.07 (define @t516 () (@list false true false false false)) % 45.80/46.07 (define @t517 () (@list @t418)) % 45.80/46.07 (define @t518 () (@list @t414)) % 45.80/46.07 (define @t519 () (@list @t409)) % 45.80/46.07 (define @t520 () (@list @t486)) % 45.80/46.07 (define @t521 () (@list @t269 @t256 @t300)) % 45.80/46.07 (define @t522 () (tptp.valid_chunk1 @t256 @t300 @t447 @t446)) % 45.80/46.07 (define @t523 () (and @t404 @t460 @t461 @t510)) % 45.80/46.07 (define @t524 () (@list false false false false)) % 45.80/46.07 (define @t525 () (= @t303 @t522)) % 45.80/46.07 (define @t526 () (tptp.valid_chunk1 @t256 @t300 @t443 @t442)) % 45.80/46.07 (define @t527 () (and @t402 @t455 @t456 @t510)) % 45.80/46.07 (define @t528 () (= @t304 @t526)) % 45.80/46.07 (define @t529 () (tptp.valid_chunk1 @t256 @t300 @t451 @t450)) % 45.80/46.07 (define @t530 () (and @t406 @t465 @t466 @t510)) % 45.80/46.07 (define @t531 () (= @t302 @t529)) % 45.80/46.07 (assume @p1 (forall (@list @t1) (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 45.80/46.07 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t4 @t3 @t2)))) % 45.80/46.07 (assume @p3 (forall @t7 (=> (tptp.sort1 @t1 @t5) (= (tptp.match_bool1 @t1 tptp.true1 @t5 @t6) @t5)))) % 45.80/46.07 (assume @p4 (forall @t7 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.false1 @t5 @t6) @t6)))) % 45.80/46.07 (assume @p5 (not (= tptp.true1 tptp.false1))) % 45.80/46.07 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true1) (= @t8 tptp.false1)))) % 45.80/46.07 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple03))) % 45.80/46.07 (assume @p8 (forall (@list @t12 @t11 @t10) (=> (<= @t12 @t11) (=> (<= 0 @t10) (<= (* @t12 @t10) (* @t11 @t10)))))) % 45.80/46.07 (assume @p9 (forall (@list @t1 @t14 @t13 @t3) (tptp.sort1 @t14 (tptp.get @t14 @t1 @t13 @t3)))) % 45.80/46.07 (assume @p10 (forall (@list @t1 @t14 @t13 @t3 @t2) (tptp.sort1 @t15 (tptp.set @t14 @t1 @t13 @t3 @t2)))) % 45.80/46.07 (assume @p11 (forall (@list @t1 @t14 @t19 @t18 @t17 @t16) (=> @t22 (=> @t21 (= @t20 @t16))))) % 45.80/46.07 (assume @p12 (forall (@list @t1 @t14 @t19 @t18 @t17) (=> (tptp.sort1 @t1 @t18) (=> (tptp.sort1 @t1 @t17) (forall (@list @t16) (=> (not @t21) (= @t20 (tptp.get @t14 @t1 @t19 @t17)))))))) % 45.80/46.07 (assume @p13 (forall (@list @t1 @t14 @t13) (tptp.sort1 @t15 (tptp.const @t14 @t1 @t13)))) % 45.80/46.07 (assume @p14 (forall (@list @t1 @t14 @t16 @t18) (=> @t22 (= (tptp.get @t14 @t1 (tptp.const @t14 @t1 @t16) @t18) @t16)))) % 45.80/46.07 (assume @p15 @t29) % 45.80/46.07 (assume @p16 (forall (@list @t30) (tptp.sort1 (tptp.map tptp.int tptp.int) (tptp.t2tb @t30)))) % 45.80/46.07 (assume @p17 (forall (@list @t31) (= (tptp.tb2t (tptp.t2tb @t31)) @t31))) % 45.80/46.07 (assume @p18 (forall @t33 (= (tptp.t2tb (tptp.tb2t @t32)) @t32))) % 45.80/46.07 (assume @p19 (forall (@list @t12) (tptp.sort1 tptp.int (tptp.t2tb1 @t12)))) % 45.80/46.07 (assume @p20 (forall @t28 (= (tptp.tb2t1 @t34) @t23))) % 45.80/46.07 (assume @p21 (forall @t33 (= (tptp.t2tb1 (tptp.tb2t1 @t32)) @t32))) % 45.80/46.07 (assume @p22 (forall @t39 (= (tptp.valid_values1 @t35) (forall @t28 (=> @t26 (and (<= 0 @t37) @t38)))))) % 45.80/46.07 (assume @p23 (forall @t50 (= @t49 (forall @t48 (=> (and (<= @t47 @t40) (< @t40 @t46)) (= (tptp.tb2t1 (tptp.get tptp.int tptp.int @t45 @t41)) (tptp.tb2t1 (tptp.get tptp.int tptp.int @t43 @t41)))))))) % 45.80/46.07 (assume @p24 (forall @t50 (=> (and (<= 0 @t47) (<= @t47 81) (<= 0 @t46) (<= @t46 81) (tptp.grid_eq_sub1 @t44 @t42 0 81)) @t49))) % 45.80/46.07 (assume @p25 (forall @t52 (tptp.sort1 @t51 (tptp.mk_array1 @t1 @t12 @t3)))) % 45.80/46.07 (assume @p26 (forall @t56 (= (tptp.length1 @t1 @t55) @t53))) % 45.80/46.07 (assume @p27 (forall (@list @t1 @t13) (tptp.sort1 @t57 (tptp.elts @t1 @t13)))) % 45.80/46.07 (assume @p28 (forall @t56 (=> (tptp.sort1 @t57 @t54) (= (tptp.elts @t1 @t55) @t54)))) % 45.80/46.07 (assume @p29 (forall (@list @t1 @t58) (= @t58 (tptp.mk_array1 @t1 (tptp.length1 @t1 @t58) (tptp.elts @t1 @t58))))) % 45.80/46.07 (assume @p30 (forall (@list @t1 @t13 @t59) (tptp.sort1 @t1 (tptp.get2 @t1 @t13 @t59)))) % 45.80/46.07 (assume @p31 (forall (@list @t1 @t18 @t23) (= (tptp.get2 @t1 @t18 @t23) (tptp.get @t1 tptp.int @t60 @t34)))) % 45.80/46.07 (assume @p32 (forall (@list @t1 @t13 @t59 @t2) (tptp.sort1 @t51 (tptp.set2 @t1 @t13 @t59 @t2)))) % 45.80/46.07 (assume @p33 (forall (@list @t1 @t18 @t23 @t61) (= (tptp.set2 @t1 @t18 @t23 @t61) (tptp.mk_array1 @t1 (tptp.length1 @t1 @t18) (tptp.set @t1 tptp.int @t60 @t34 @t61))))) % 45.80/46.07 (assume @p34 (forall @t52 (tptp.sort1 @t51 (tptp.make1 @t1 @t12 @t3)))) % 45.80/46.07 (assume @p35 (forall (@list @t1 @t62 @t61) (= (tptp.make1 @t1 @t62 @t61) (tptp.mk_array1 @t1 @t62 (tptp.const @t1 tptp.int @t61))))) % 45.80/46.07 (assume @p36 @t72) % 45.80/46.07 (assume @p37 @t74) % 45.80/46.07 (assume @p38 @t76) % 45.80/46.07 (assume @p39 @t78) % 45.80/46.07 (assume @p40 @t80) % 45.80/46.07 (assume @p41 @t82) % 45.80/46.07 (assume @p42 (forall (@list @t83) (= @t83 (tptp.mk_sudoku_chunks1 (tptp.column_start1 @t83) (tptp.column_offsets1 @t83) (tptp.row_start1 @t83) (tptp.row_offsets1 @t83) (tptp.square_start1 @t83) (tptp.square_offsets1 @t83))))) % 45.80/46.07 (assume @p43 (forall (@list @t84) (tptp.sort1 (tptp.array tptp.int) (tptp.t2tb2 @t84)))) % 45.80/46.07 (assume @p44 (forall (@list @t85) (= (tptp.tb2t2 (tptp.t2tb2 @t85)) @t85))) % 45.80/46.07 (assume @p45 (forall @t33 (= (tptp.t2tb2 (tptp.tb2t2 @t32)) @t32))) % 45.80/46.07 (assume @p46 (forall @t97 (= (tptp.chunk_valid_indexes1 @t90 @t87) (and @t96 @t95 (forall (@list @t23 @t86) (=> (and @t26 @t94 @t93) (tptp.is_index1 (+ @t92 @t89)))))))) % 45.80/46.07 (assume @p47 (forall @t97 (= (tptp.disjoint_chunks1 @t90 @t87) (and @t96 @t95 (forall (@list @t100 @t98 @t86) (=> (and (tptp.is_index1 @t100) (tptp.is_index1 @t98) @t94 @t93) (=> (not (= (tptp.tb2t1 (tptp.get2 tptp.int @t91 @t100)) @t99)) (not (= @t100 (+ @t99 @t89)))))))))) % 45.80/46.07 (assume @p48 (forall (@list @t101) (= @t108 (and (tptp.chunk_valid_indexes1 @t107 @t106) (tptp.chunk_valid_indexes1 @t105 @t104) (tptp.chunk_valid_indexes1 @t103 @t102) (tptp.disjoint_chunks1 @t107 @t106) (tptp.disjoint_chunks1 @t105 @t104) (tptp.disjoint_chunks1 @t103 @t102))))) % 45.80/46.07 (assume @p49 (forall (@list @t35 @t23 @t90 @t87) (= (tptp.valid_chunk1 @t35 @t23 @t90 @t87) (forall @t117 (=> (and @t116 (< @t111 9) @t115 (< @t109 9) @t114) @t113))))) % 45.80/46.07 (assume @p50 (forall @t119 (= @t118 (tptp.valid_chunk1 @t35 @t23 @t107 @t106)))) % 45.80/46.07 (assume @p51 (forall @t119 (= @t120 (tptp.valid_chunk1 @t35 @t23 @t105 @t104)))) % 45.80/46.07 (assume @p52 (forall @t119 (= @t121 (tptp.valid_chunk1 @t35 @t23 @t103 @t102)))) % 45.80/46.07 (assume @p53 @t126) % 45.80/46.07 (assume @p54 (forall @t39 (= (tptp.full1 @t35) (forall @t28 (=> @t26 (and (<= 1 @t37) @t38)))))) % 45.80/46.07 (assume @p55 (forall (@list @t44 @t42) (= (tptp.included1 @t44 @t42) (forall @t28 (=> (and @t26 (<= 1 @t127) (<= @t127 9)) (= (tptp.tb2t1 (tptp.get tptp.int tptp.int @t43 @t34)) @t127)))))) % 45.80/46.07 (assume @p56 (forall (@list @t35 @t130) (=> @t131 (forall (@list @t23 @t129 @t128) (=> (and @t26 (tptp.chunk_valid_indexes1 @t129 @t128) (tptp.valid_chunk1 @t130 @t23 @t129 @t128)) (tptp.valid_chunk1 @t35 @t23 @t129 @t128)))))) % 45.80/46.07 (assume @p57 (forall (@list @t101 @t35 @t130) (=> (and @t108 @t131 (tptp.valid1 @t101 @t130)) @t124))) % 45.80/46.07 (assume @p58 (forall (@list @t101 @t132 @t133) (= (tptp.is_solution_for1 @t101 @t132 @t133) (and (tptp.included1 @t133 @t132) (tptp.full1 @t132) (tptp.valid1 @t101 @t132))))) % 45.80/46.07 (assume @p59 (forall (@list @t35 @t23 @t90 @t87 @t134) (= (tptp.valid_chunk_up_to1 @t35 @t23 @t90 @t87 @t134) (forall @t117 (=> (and @t116 (< @t111 @t134) @t115 (< @t109 @t134) @t114) @t113))))) % 45.80/46.07 (assume @p60 @t141) % 45.80/46.07 (assume @p61 @t206) % 45.80/46.07 (assume @p62 true) % 45.80/46.07 (step @p63 :rule aci_norm :args ((= (or (or @t212 @t210) @t135) @t213))) % 45.80/46.07 (step @p64 :rule refl :args (@t135)) % 45.80/46.07 (step @p65 :rule bool-and-de-morgan :args (@t211 @t209 true)) % 45.80/46.07 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t214) @t135))) % 45.80/46.07 (step @p67 :rule trans :premises (@p66 @p63)) % 45.80/46.07 (step @p68 :rule bool-impl-elim :args (@t214 @t135)) % 45.80/46.07 (step @p69 :rule trans :premises (@p68 @p67)) % 45.80/46.07 (step @p70 :rule cong :premises (@p69) :args ((forall @t48 (=> @t214 @t135)))) % 45.80/46.07 (step @p71 :rule refl :args (@t135)) % 45.80/46.07 (step @p72 :rule bool-double-not-elim :args (@t209)) % 45.80/46.07 (step @p73 :rule arith_poly_norm :args ((= (* -1 (- 1 @t215)) (* -1 (- @t40 @t23))))) % 45.80/46.07 (step @p74 :rule arith_poly_norm_rel :premises (@p73) :args ((= (>= 1 @t215) @t216))) % 45.80/46.07 (step @p75 :rule arith-geq-tighten :args (@t208 1)) % 45.80/46.07 (step @p76 :rule trans :premises (@p75 @p74)) % 45.80/46.07 (step @p77 :rule symm :premises (@p76)) % 45.80/46.07 (step @p78 :rule cong :premises (@p77) :args ((not @t216))) % 45.80/46.07 (step @p79 :rule trans :premises (@p78 @p72)) % 45.80/46.07 (step @p80 :rule arith-elim-lt :args (@t40 @t23)) % 45.80/46.07 (step @p81 :rule trans :premises (@p80 @p79)) % 45.80/46.08 (step @p82 :rule arith-elim-leq :args (0 @t40)) % 45.80/46.08 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t136)) % 45.80/46.08 (step @p84 :rule cong :premises (@p83 @p71) :args (@t137)) % 45.80/46.08 (step @p85 :rule cong :premises (@p84) :args (@t138)) % 45.80/46.08 (step @p86 :rule trans :premises (@p85 @p70)) % 45.80/46.08 (step @p87 :rule refl :args (@t139)) % 45.80/46.08 (step @p88 :rule cong :premises (@p87 @p86) :args (@t140)) % 45.80/46.08 (step @p89 :rule cong :premises (@p88) :args (@t141)) % 45.80/46.08 (step @p90 :rule eq_resolve :premises (@p60 @p89)) % 45.80/46.08 (step @p91 :rule refl :args (@t270)) % 45.80/46.08 (step @p92 :rule bool-double-not-elim :args (@t274)) % 45.80/46.08 (step @p93 :rule arith_poly_norm :args ((= (* -1 (- 1 @t276)) (* -1 (- @t275 1))))) % 45.80/46.08 (step @p94 :rule arith_poly_norm_rel :premises (@p93) :args ((= (>= 1 @t276) (>= @t275 1)))) % 45.80/46.08 (step @p95 :rule arith-geq-tighten :args (@t273 1)) % 45.80/46.08 (step @p96 :rule trans :premises (@p95 @p94)) % 45.80/46.08 (step @p97 :rule symm :premises (@p96)) % 45.80/46.08 (step @p98 :rule refl :args (1)) % 45.80/46.08 (step @p99 :rule arith_poly_norm :args ((= @t277 @t275))) % 45.80/46.08 (step @p100 :rule arith_poly_norm :args ((= @t279 @t277))) % 45.80/46.08 (step @p101 :rule trans :premises (@p100 @p99)) % 45.80/46.08 (step @p102 :rule cong :premises (@p101 @p98) :args (@t280)) % 45.80/46.08 (step @p103 :rule trans :premises (@p102 @p97)) % 45.80/46.08 (step @p104 :rule cong :premises (@p103) :args (@t281)) % 45.80/46.08 (step @p105 :rule trans :premises (@p104 @p92)) % 45.80/46.08 (step @p106 :rule refl :args (@t212)) % 45.80/46.08 (step @p107 :rule nary_cong :premises (@p106 @p105 @p91) :args (@t282)) % 45.80/46.08 (step @p108 :rule cong :premises (@p107) :args (@t283)) % 45.80/46.08 (step @p109 :rule refl :args (@t284)) % 45.80/46.08 (step @p110 :rule cong :premises (@p109 @p108) :args (@t285)) % 45.80/46.08 (step @p111 :rule refl :args (@t286)) % 45.80/46.08 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t286 @t285))) % 45.80/46.08 (assume-push @p958 @t286) % 45.80/46.08 (step @p114 :rule instantiate :premises (@p90) :args ((@list @t269 @t256 @t278))) % 45.80/46.08 (step-pop @p959 :rule scope :premises (@p114)) % 45.80/46.08 (step @p115 :rule process_scope :premises (@p959) :args (@t285)) % 45.80/46.08 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 45.80/46.08 (step @p118 :rule implies_elim :premises (@p117)) % 45.80/46.08 (step @p119 :rule chain_m_resolution :premises (@p118 @p90) :args (@t288 @t289 @t290)) % 45.80/46.08 (step @p120 :rule bool-impl-elim :args (@t26 @t122)) % 45.80/46.08 (step @p121 :rule cong :premises (@p120) :args (@t123)) % 45.80/46.08 (step @p122 :rule refl :args (@t124)) % 45.80/46.08 (step @p123 :rule cong :premises (@p122 @p121) :args (@t125)) % 45.80/46.08 (step @p124 :rule cong :premises (@p123) :args (@t126)) % 45.80/46.08 (step @p125 :rule eq_resolve :premises (@p53 @p124)) % 45.80/46.08 (step @p126 :rule instantiate :premises (@p125) :args ((@list @t269 @t256))) % 45.80/46.08 (assume-push @p960 @t291) % 45.80/46.08 (step @p128 :rule instantiate :premises (@p960) :args (@t292)) % 45.80/46.08 (step-pop @p961 :rule scope :premises (@p128)) % 45.80/46.08 (step @p129 :rule process_scope :premises (@p961) :args (@t299)) % 45.80/46.08 (step @p131 :rule implies_elim :premises (@p129)) % 45.80/46.08 (assume-push @p962 @t291) % 45.80/46.08 (step @p133 :rule instantiate :premises (@p962) :args (@t301)) % 45.80/46.08 (step-pop @p963 :rule scope :premises (@p133)) % 45.80/46.08 (step @p134 :rule process_scope :premises (@p963) :args (@t308)) % 45.80/46.08 (step @p136 :rule implies_elim :premises (@p134)) % 45.80/46.08 (step @p137 :rule arith-elim-lt :args (@t23 81)) % 45.80/46.08 (step @p138 :rule arith-elim-leq :args (0 @t23)) % 45.80/46.08 (step @p139 :rule nary_cong :premises (@p138 @p137) :args (@t25)) % 45.80/46.08 (step @p140 :rule refl :args (@t26)) % 45.80/46.08 (step @p141 :rule cong :premises (@p140 @p139) :args (@t27)) % 45.80/46.08 (step @p142 :rule cong :premises (@p141) :args (@t29)) % 45.80/46.08 (step @p143 :rule eq_resolve :premises (@p15 @p142)) % 45.80/46.08 (step @p144 :rule instantiate :premises (@p143) :args (@t292)) % 45.80/46.08 (step @p145 :rule bool-double-not-elim :args (@t309)) % 45.80/46.08 (step @p146 :rule refl :args (@t312)) % 45.80/46.08 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t312 (not @t311)))) % 45.80/46.08 (step @p148 :rule cnf_or_neg :args (@t312 0)) % 45.80/46.08 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 45.80/46.08 (step @p150 :rule reordering :premises (@p149) :args ((or @t309 @t312))) % 45.80/46.08 (step @p151 :rule cnf_or_neg :args (@t312 1)) % 45.80/46.08 (step @p152 :rule reordering :premises (@p151) :args ((or @t313 @t312))) % 45.80/46.08 (step @p153 :rule bool-double-not-elim :args (@t314)) % 45.80/46.08 (step @p154 :rule arith_poly_norm :args ((= (* 80 (- 81 @t316)) (* 80 (- @t315 1))))) % 45.80/46.08 (step @p155 :rule arith_poly_norm_rel :premises (@p154) :args ((= (>= 81 @t316) @t317))) % 45.80/46.08 (step @p156 :rule arith-geq-tighten :args (@t40 81)) % 45.80/46.08 (step @p157 :rule trans :premises (@p156 @p155)) % 45.80/46.08 (step @p158 :rule symm :premises (@p157)) % 45.80/46.08 (step @p159 :rule cong :premises (@p158) :args (@t318)) % 45.80/46.08 (step @p160 :rule trans :premises (@p159 @p153)) % 45.80/46.08 (step @p161 :rule nary_cong :premises (@p106 @p160 @p91) :args (@t319)) % 45.80/46.08 (step @p162 :rule cong :premises (@p161) :args (@t320)) % 45.80/46.08 (step @p163 :rule refl :args (@t309)) % 45.80/46.08 (step @p164 :rule cong :premises (@p163 @p162) :args (@t321)) % 45.80/46.08 (step @p165 :rule cong :premises (@p111 @p164) :args ((=> @t286 @t321))) % 45.80/46.08 (assume-push @p964 @t286) % 45.80/46.08 (step @p167 :rule instantiate :premises (@p90) :args ((@list @t269 @t256 81))) % 45.80/46.08 (step-pop @p965 :rule scope :premises (@p167)) % 45.80/46.08 (step @p168 :rule process_scope :premises (@p965) :args (@t321)) % 45.80/46.08 (step @p170 :rule eq_resolve :premises (@p168 @p165)) % 45.80/46.08 (step @p171 :rule implies_elim :premises (@p170)) % 45.80/46.08 (step @p172 :rule chain_m_resolution :premises (@p171 @p90) :args (@t323 @t289 @t290)) % 45.80/46.08 (step @p173 :rule cnf_equiv_pos1 :args (@t323)) % 45.80/46.08 (step @p174 :rule reordering :premises (@p173) :args ((or @t311 @t322 (not @t323)))) % 45.80/46.08 (step @p175 :rule cnf_equiv_pos2 :args (@t324)) % 45.80/46.08 (step @p176 :rule reordering :premises (@p175) :args ((or @t310 @t326 @t325))) % 45.80/46.08 (assume-push @p966 @t322) % 45.80/46.08 (step @p178 :rule instantiate :premises (@p966) :args (@t328)) % 45.80/46.08 (step-pop @p967 :rule scope :premises (@p178)) % 45.80/46.08 (step @p179 :rule process_scope :premises (@p967) :args (@t333)) % 45.80/46.08 (step @p181 :rule implies_elim :premises (@p179)) % 45.80/46.08 (step @p182 :rule refl :args (@t337)) % 45.80/46.08 (step @p183 :rule bool-double-not-elim :args (@t291)) % 45.80/46.08 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or (not @t326) @t337))) % 45.80/46.08 (assume-push @p968 @t326) % 45.80/46.08 (step @p186 :rule skolemize :premises (@p968)) % 45.80/46.08 (step-pop @p969 :rule scope :premises (@p186)) % 45.80/46.08 (step @p187 :rule process_scope :premises (@p969) :args (@t337)) % 45.80/46.08 (step @p189 :rule implies_elim :premises (@p187)) % 45.80/46.08 (step @p190 :rule eq_resolve :premises (@p189 @p184)) % 45.80/46.08 (step @p191 :rule bool-double-not-elim :args (@t334)) % 45.80/46.08 (step @p192 :rule refl :args (@t336)) % 45.80/46.08 (step @p193 :rule nary_cong :premises (@p192 @p191) :args ((or @t336 (not @t335)))) % 45.80/46.08 (step @p194 :rule cnf_or_neg :args (@t336 0)) % 45.80/46.08 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 45.80/46.08 (step @p196 :rule reordering :premises (@p195) :args ((or @t334 @t336))) % 45.80/46.08 (step @p197 :rule cnf_or_neg :args (@t336 1)) % 45.80/46.08 (step @p198 :rule instantiate :premises (@p143) :args (@t328)) % 45.80/46.08 (step @p199 :rule cnf_equiv_pos1 :args (@t340)) % 45.80/46.08 (step @p200 :rule reordering :premises (@p199) :args ((or @t335 @t339 (not @t340)))) % 45.80/46.08 (step @p201 :rule cnf_and_pos :args (@t339 0)) % 45.80/46.08 (step @p202 :rule reordering :premises (@p201) :args ((or @t331 @t341))) % 45.80/46.08 (step @p203 :rule cnf_and_pos :args (@t339 1)) % 45.80/46.08 (step @p204 :rule reordering :premises (@p203) :args ((or @t338 @t341))) % 45.80/46.08 (step @p205 :rule cnf_or_pos :args (@t333)) % 45.80/46.08 (step @p206 :rule reordering :premises (@p205) :args ((or @t329 @t330 @t332 (not @t333)))) % 45.80/46.08 (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p202 @p200 @p198 @p197 @p196 @p190 @p181 @p176 @p126 @p174 @p172 @p152 @p150) :args (@t312 (@list true false false false true false true false true false false false true false) (@list @t330 @t331 @t339 @t340 @t329 @t334 @t336 @t333 @t291 @t324 @t322 @t323 @t310 @t309))) % 45.80/46.08 (step @p208 :rule bool-eq-true :args (@t342)) % 45.80/46.08 (step @p209 :rule quant-unused-vars :args ((= (forall @t48 true) true))) % 45.80/46.08 (step @p210 :rule bool-or-taut2 :args (false @t211 false (or @t270))) % 45.80/46.08 (step @p211 :rule cong :premises (@p210) :args ((forall @t48 (or @t212 @t211 @t270)))) % 45.80/46.08 (step @p212 :rule trans :premises (@p211 @p209)) % 45.80/46.08 (step @p213 :rule bool-double-not-elim :args (@t211)) % 45.80/46.08 (step @p214 :rule arith_poly_norm :args ((= (* -1 (- 0 @t316)) (* -1 (- @t207 1))))) % 45.80/46.08 (step @p215 :rule arith_poly_norm_rel :premises (@p214) :args ((= (>= 0 @t316) (>= @t207 1)))) % 45.80/46.08 (step @p216 :rule arith-geq-tighten :args (@t40 0)) % 45.80/46.08 (step @p217 :rule trans :premises (@p216 @p215)) % 45.80/46.08 (step @p218 :rule symm :premises (@p217)) % 45.80/46.08 (step @p219 :rule arith_poly_norm :args ((= @t343 @t207))) % 45.80/46.08 (step @p220 :rule cong :premises (@p219 @p98) :args (@t344)) % 45.80/46.08 (step @p221 :rule trans :premises (@p220 @p218)) % 45.80/46.08 (step @p222 :rule cong :premises (@p221) :args (@t345)) % 45.80/46.08 (step @p223 :rule trans :premises (@p222 @p213)) % 45.80/46.08 (step @p224 :rule nary_cong :premises (@p106 @p223 @p91) :args (@t346)) % 45.80/46.08 (step @p225 :rule cong :premises (@p224) :args (@t347)) % 45.80/46.08 (step @p226 :rule trans :premises (@p225 @p212)) % 45.80/46.08 (step @p227 :rule refl :args (@t342)) % 45.80/46.08 (step @p228 :rule cong :premises (@p227 @p226) :args (@t348)) % 45.80/46.08 (step @p229 :rule trans :premises (@p228 @p208)) % 45.80/46.08 (step @p230 :rule cong :premises (@p111 @p229) :args ((=> @t286 @t348))) % 45.80/46.08 (assume-push @p970 @t286) % 45.80/46.08 (step @p232 :rule instantiate :premises (@p90) :args ((@list @t269 @t256 0))) % 45.80/46.08 (step-pop @p971 :rule scope :premises (@p232)) % 45.80/46.08 (step @p233 :rule process_scope :premises (@p971) :args (@t348)) % 45.80/46.08 (step @p235 :rule eq_resolve :premises (@p233 @p230)) % 45.80/46.08 (step @p236 :rule implies_elim :premises (@p235)) % 45.80/46.08 (step @p237 :rule chain_m_resolution :premises (@p236 @p90) :args (@t342 @t289 @t290)) % 45.80/46.08 (step @p238 :rule aci_norm :args ((= (or @t252 @t250 @t248 @t246 @t244 @t242 false @t240 false @t239 @t238) @t253))) % 45.80/46.08 (step @p239 :rule refl :args (@t218)) % 45.80/46.08 (step @p240 :rule aci_norm :args ((= (and true @t179 @t227 @t187 @t233 @t221) @t234))) % 45.80/46.08 (step @p241 :rule refl :args (@t221)) % 45.80/46.08 (step @p242 :rule aci_norm :args ((= (and true @t179 @t227 @t184 @t230 @t223) @t231))) % 45.80/46.08 (step @p243 :rule refl :args (@t223)) % 45.80/46.08 (step @p244 :rule aci_norm :args ((= (and true @t179 @t227 @t178 @t226 @t225) @t228))) % 45.80/46.08 (step @p245 :rule refl :args (@t225)) % 45.80/46.08 (step @p246 :rule refl :args (@t226)) % 45.80/46.08 (step @p247 :rule refl :args (@t178)) % 45.80/46.08 (step @p248 :rule refl :args (@t227)) % 45.80/46.08 (step @p249 :rule refl :args (@t179)) % 45.80/46.08 (step @p250 :rule evaluate :args (@t349)) % 45.80/46.08 (step @p251 :rule nary_cong :premises (@p250 @p249 @p248 @p247 @p246 @p245) :args (@t350)) % 45.80/46.08 (step @p252 :rule trans :premises (@p251 @p244)) % 45.80/46.08 (step @p253 :rule refl :args (@t229)) % 45.80/46.08 (step @p254 :rule nary_cong :premises (@p253 @p252) :args (@t351)) % 45.80/46.08 (step @p255 :rule refl :args (@t184)) % 45.80/46.08 (step @p256 :rule nary_cong :premises (@p250 @p249 @p248 @p255 @p254 @p243) :args (@t352)) % 45.80/46.08 (step @p257 :rule trans :premises (@p256 @p242)) % 45.80/46.08 (step @p258 :rule refl :args (@t232)) % 45.80/46.08 (step @p259 :rule nary_cong :premises (@p258 @p257) :args (@t353)) % 45.80/46.08 (step @p260 :rule refl :args (@t187)) % 45.80/46.08 (step @p261 :rule nary_cong :premises (@p250 @p249 @p248 @p260 @p259 @p241) :args (@t354)) % 45.80/46.08 (step @p262 :rule trans :premises (@p261 @p240)) % 45.80/46.08 (step @p263 :rule refl :args (@t235)) % 45.80/46.08 (step @p264 :rule refl :args (@t236)) % 45.80/46.08 (step @p265 :rule refl :args (@t237)) % 45.80/46.08 (step @p266 :rule nary_cong :premises (@p265 @p264 @p263 @p262) :args (@t355)) % 45.80/46.08 (step @p267 :rule refl :args (@t194)) % 45.80/46.08 (step @p268 :rule nary_cong :premises (@p267 @p266 @p239) :args (@t356)) % 45.80/46.08 (step @p269 :rule refl :args (@t239)) % 45.80/46.08 (step @p270 :rule evaluate :args ((not true))) % 45.80/46.08 (step @p271 :rule cong :premises (@p250) :args (@t357)) % 45.80/46.08 (step @p272 :rule trans :premises (@p271 @p270)) % 45.80/46.08 (step @p273 :rule refl :args (@t240)) % 45.80/46.08 (step @p274 :rule evaluate :args (@t358)) % 45.80/46.08 (step @p275 :rule cong :premises (@p274) :args (@t359)) % 45.80/46.08 (step @p276 :rule trans :premises (@p275 @p270)) % 45.80/46.08 (step @p277 :rule refl :args (@t242)) % 45.80/46.08 (step @p278 :rule refl :args (@t244)) % 45.80/46.08 (step @p279 :rule refl :args (@t246)) % 45.80/46.08 (step @p280 :rule refl :args (@t248)) % 45.80/46.08 (step @p281 :rule refl :args (@t250)) % 45.80/46.08 (step @p282 :rule refl :args (@t252)) % 45.80/46.08 (step @p283 :rule nary_cong :premises (@p282 @p281 @p280 @p279 @p278 @p277 @p276 @p273 @p272 @p269 @p268) :args (@t360)) % 45.80/46.08 (step @p284 :rule trans :premises (@p283 @p238)) % 45.80/46.08 (step @p285 :rule cong :premises (@p284) :args ((forall @t254 @t360))) % 45.80/46.08 (step @p286 :rule quant-var-elim-eq :args ((= (forall @t367 @t366) @t360))) % 45.80/46.08 (step @p287 :rule aci_norm :args ((= @t368 @t366))) % 45.80/46.08 (step @p288 :rule cong :premises (@p287) :args (@t369)) % 45.80/46.08 (step @p289 :rule trans :premises (@p288 @p286)) % 45.80/46.08 (step @p290 :rule cong :premises (@p289) :args (@t370)) % 45.80/46.08 (step @p291 :rule quant-merge-prenex :args ((= @t370 @t371))) % 45.80/46.08 (step @p292 :rule symm :premises (@p291)) % 45.80/46.08 (step @p293 :rule quant_var_reordering :args ((= @t372 @t371))) % 45.80/46.08 (step @p294 :rule trans :premises (@p293 @p292 @p290)) % 45.80/46.08 (step @p295 :rule trans :premises (@p294 @p285)) % 45.80/46.08 (step @p296 :rule quant-merge-prenex :args ((= (forall @t204 @t374) @t372))) % 45.80/46.08 (step @p297 :rule quant-unused-vars :args ((= @t375 @t218))) % 45.80/46.08 (step @p298 :rule alpha_equiv :args (@t376 (@list @t219) (@list @t23))) % 45.80/46.08 (step @p299 :rule quant-unused-vars :args ((= @t377 @t194))) % 45.80/46.08 (step @p300 :rule nary_cong :premises (@p299 @p298 @p297) :args (@t378)) % 45.80/46.08 (step @p301 :rule quant-miniscope-and :args ((= @t379 @t378))) % 45.80/46.08 (step @p302 :rule trans :premises (@p301 @p300)) % 45.80/46.08 (step @p303 :rule refl :args (@t239)) % 45.80/46.08 (step @p304 :rule refl :args (@t363)) % 45.80/46.08 (step @p305 :rule refl :args (@t240)) % 45.80/46.08 (step @p306 :rule refl :args (@t365)) % 45.80/46.08 (step @p307 :rule refl :args (@t242)) % 45.80/46.08 (step @p308 :rule refl :args (@t244)) % 45.80/46.08 (step @p309 :rule refl :args (@t246)) % 45.80/46.08 (step @p310 :rule refl :args (@t248)) % 45.80/46.08 (step @p311 :rule refl :args (@t250)) % 45.80/46.08 (step @p312 :rule refl :args (@t252)) % 45.80/46.08 (step @p313 :rule nary_cong :premises (@p312 @p311 @p310 @p309 @p308 @p307 @p306 @p305 @p304 @p303 @p302) :args (@t380)) % 45.80/46.08 (step @p314 :rule quant-miniscope-or :args ((= @t374 @t380))) % 45.80/46.08 (step @p315 :rule trans :premises (@p314 @p313)) % 45.80/46.08 (step @p316 :rule symm :premises (@p315)) % 45.80/46.08 (step @p317 :rule cong :premises (@p316) :args ((forall @t204 @t391))) % 45.80/46.08 (step @p318 :rule trans :premises (@p317 @p296)) % 45.80/46.08 (step @p319 :rule trans :premises (@p318 @p295)) % 45.80/46.08 (step @p320 :rule aci_norm :args ((= (or @t392 @t390) @t391))) % 45.80/46.08 (step @p321 :rule bool-impl-elim :args (@t217 @t161)) % 45.80/46.08 (step @p322 :rule refl :args (@t389)) % 45.80/46.08 (step @p323 :rule refl :args (@t194)) % 45.80/46.08 (step @p324 :rule nary_cong :premises (@p323 @p322 @p321) :args (@t393)) % 45.80/46.08 (step @p325 :rule aci_norm :args ((= (or @t252 (or @t250 (or @t248 (or @t246 (or @t244 (or @t242 (or @t365 (or @t240 (or @t363 @t239))))))))) @t392))) % 45.80/46.08 (step @p326 :rule bool-and-de-morgan :args (@t181 @t179 true)) % 45.80/46.08 (step @p327 :rule nary_cong :premises (@p305 @p326) :args ((or @t240 (not (and @t181 @t179))))) % 45.80/46.08 (step @p328 :rule bool-and-de-morgan :args (@t201 @t181 (and @t179))) % 45.80/46.08 (step @p329 :rule trans :premises (@p328 @p327)) % 45.80/46.08 (step @p330 :rule nary_cong :premises (@p306 @p329) :args ((or @t365 (not (and @t201 @t181 @t179))))) % 45.80/46.08 (step @p331 :rule bool-and-de-morgan :args (@t364 @t201 (and @t181 @t179))) % 45.80/46.08 (step @p332 :rule trans :premises (@p331 @p330)) % 45.80/46.08 (step @p333 :rule nary_cong :premises (@p307 @p332) :args ((or @t242 (not (and 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45.80/46.08 (step @p354 :rule bool-impl-elim :args (@t394 @t393)) % 45.80/46.08 (step @p355 :rule trans :premises (@p354 @p353)) % 45.80/46.08 (step @p356 :rule cong :premises (@p355) :args ((forall @t204 (=> @t394 @t393)))) % 45.80/46.08 (step @p357 :rule trans :premises (@p356 @p319)) % 45.80/46.08 (step @p358 :rule aci_norm :args ((= (and true @t393) @t393))) % 45.80/46.08 (step @p359 :rule bool-impl-true2 :args (@t393)) % 45.80/46.08 (step @p360 :rule refl :args (@t161)) % 45.80/46.08 (step @p361 :rule evaluate :args (@t162)) % 45.80/46.08 (step @p362 :rule refl :args (@t44)) % 45.80/46.08 (step @p363 :rule refl :args (@t160)) % 45.80/46.08 (step @p364 :rule cong :premises (@p363 @p362 @p361) :args (@t163)) % 45.80/46.08 (step @p365 :rule cong :premises (@p364 @p360) :args (@t164)) % 45.80/46.08 (step @p366 :rule aci_norm :args ((= (or (or @t387 @t385) (or @t384 @t383)) @t388))) % 45.80/46.08 (step @p367 :rule refl :args (@t165)) % 45.80/46.08 (step @p368 :rule bool-double-not-elim 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@p397 :rule nary_cong :premises (@p384 @p383 @p382 @p396 @p395 @p371) :args (@t397)) % 45.80/46.08 (step @p398 :rule refl :args (@t384)) % 45.80/46.08 (step @p399 :rule nary_cong :premises (@p398 @p397) :args ((or @t384 @t397))) % 45.80/46.08 (step @p400 :rule bool-impl-elim :args (@t189 @t397)) % 45.80/46.08 (step @p401 :rule trans :premises (@p400 @p399)) % 45.80/46.08 (step @p402 :rule bool-double-not-elim :args (@t385)) % 45.80/46.08 (step @p403 :rule refl :args (@t387)) % 45.80/46.08 (step @p404 :rule nary_cong :premises (@p403 @p402) :args ((or @t387 (not @t398)))) % 45.80/46.08 (step @p405 :rule bool-and-de-morgan :args (@t386 @t398 true)) % 45.80/46.08 (step @p406 :rule trans :premises (@p405 @p404)) % 45.80/46.08 (step @p407 :rule nary_cong :premises (@p406 @p401) :args ((or (not @t400) @t399))) % 45.80/46.08 (step @p408 :rule trans :premises (@p407 @p366)) % 45.80/46.08 (step @p409 :rule bool-impl-elim :args (@t400 @t399)) % 45.80/46.08 (step @p410 :rule trans :premises (@p409 @p408)) % 45.80/46.08 (step @p411 :rule cong :premises (@p410) :args ((forall @t28 (=> @t400 @t399)))) % 45.80/46.08 (step @p412 :rule refl :args (@t168)) % 45.80/46.08 (step @p413 :rule refl :args (@t171)) % 45.80/46.08 (step @p414 :rule refl :args (@t174)) % 45.80/46.08 (step @p415 :rule arith_poly_norm :args ((= @t175 @t381))) % 45.80/46.08 (step @p416 :rule cong :premises (@p363 @p362 @p415) :args (@t176)) % 45.80/46.08 (step @p417 :rule refl :args (@t172)) % 45.80/46.08 (step @p418 :rule cong :premises (@p417 @p416) :args (@t177)) % 45.80/46.08 (step @p419 :rule refl :args (@t181)) % 45.80/46.08 (step @p420 :rule nary_cong :premises (@p419 @p249 @p140 @p247 @p418 @p414) :args (@t182)) % 45.80/46.08 (step @p421 :rule refl :args (@t169)) % 45.80/46.08 (step @p422 :rule cong :premises (@p421 @p420) :args (@t183)) % 45.80/46.08 (step @p423 :rule nary_cong :premises (@p419 @p249 @p140 @p255 @p422 @p413) :args (@t185)) % 45.80/46.08 (step @p424 :rule refl :args (@t166)) % 45.80/46.08 (step @p425 :rule cong :premises (@p424 @p423) :args (@t186)) % 45.80/46.08 (step @p426 :rule nary_cong :premises (@p419 @p249 @p140 @p260 @p425 @p412) :args (@t188)) % 45.80/46.08 (step @p427 :rule refl :args (@t189)) % 45.80/46.08 (step @p428 :rule cong :premises (@p427 @p426) :args (@t190)) % 45.80/46.08 (step @p429 :rule evaluate :args (@t162)) % 45.80/46.08 (step @p430 :rule refl :args (@t23)) % 45.80/46.08 (step @p431 :rule cong :premises (@p430 @p429) :args (@t401)) % 45.80/46.08 (step @p432 :rule cong :premises (@p431) :args ((not @t401))) % 45.80/46.08 (step @p433 :rule arith-leq-norm :args (@t23 80)) % 45.80/46.08 (step @p434 :rule trans :premises (@p433 @p432)) % 45.80/46.08 (step @p435 :rule nary_cong :premises (@p138 @p434) :args (@t191)) % 45.80/46.08 (step @p436 :rule cong :premises (@p435 @p428) :args (@t192)) % 45.80/46.08 (step @p437 :rule cong :premises (@p436) :args (@t193)) % 45.80/46.08 (step @p438 :rule trans :premises (@p437 @p411)) % 45.80/46.08 (step @p439 :rule nary_cong :premises (@p267 @p438 @p365) :args (@t195)) % 45.80/46.08 (step @p440 :rule evaluate :args (@t196)) % 45.80/46.08 (step @p441 :rule cong :premises (@p440 @p439) :args (@t197)) % 45.80/46.08 (step @p442 :rule trans :premises (@p441 @p359)) % 45.80/46.08 (step @p443 :rule bool-impl-false2 :args (@t161)) % 45.80/46.08 (step @p444 :rule evaluate :args (@t198)) % 45.80/46.08 (step @p445 :rule cong :premises (@p444 @p360) :args (@t199)) % 45.80/46.08 (step @p446 :rule trans :premises (@p445 @p443)) % 45.80/46.08 (step @p447 :rule nary_cong :premises (@p446 @p442) :args (@t200)) % 45.80/46.08 (step @p448 :rule trans :premises (@p447 @p358)) % 45.80/46.08 (step @p449 :rule refl :args (@t201)) % 45.80/46.08 (step @p450 :rule arith-elim-leq :args (0 @t180)) % 45.80/46.08 (step @p451 :rule arith-elim-leq :args (0 @t143)) % 45.80/46.08 (step @p452 :rule arith-elim-leq :args (0 @t146)) % 45.80/46.08 (step @p453 :rule arith-elim-leq :args (0 @t149)) % 45.80/46.08 (step @p454 :rule arith-elim-leq :args (0 @t152)) % 45.80/46.08 (step @p455 :rule arith-elim-leq :args (0 @t155)) % 45.80/46.08 (step @p456 :rule arith-elim-leq :args (0 @t158)) % 45.80/46.08 (step @p457 :rule nary_cong :premises (@p456 @p455 @p454 @p453 @p452 @p451 @p450 @p449 @p419 @p249) :args (@t202)) % 45.80/46.08 (step @p458 :rule cong :premises (@p457 @p448) :args (@t203)) % 45.80/46.08 (step @p459 :rule cong :premises (@p458) :args (@t205)) % 45.80/46.08 (step @p460 :rule trans :premises (@p459 @p357)) % 45.80/46.08 (step @p461 :rule cong :premises (@p460) :args (@t206)) % 45.80/46.08 (step @p462 :rule eq_resolve :premises (@p61 @p461)) % 45.80/46.08 (step @p463 :rule skolemize :premises (@p462)) % 45.80/46.08 (step @p464 :rule cnf_or_neg :args (@t431 8)) % 45.80/46.08 (step @p465 :rule chain_m_resolution :premises (@p464 @p463) :args ((not @t427) @t432 @t433)) % 45.80/46.08 (step @p466 :rule cnf_and_neg :args (@t427)) % 45.80/46.08 (step @p467 :rule chain_m_resolution :premises (@p466 @p465 @p237 @p207) :args ((not @t426) (@list true false false) (@list @t427 @t342 @t312))) % 45.80/46.08 (step @p468 :rule cnf_or_neg :args (@t426 1)) % 45.80/46.08 (step @p469 :rule chain_m_resolution :premises (@p468 @p467) :args (@t434 @t432 @t435)) % 45.80/46.08 (step @p470 :rule bool-double-not-elim :args (@t424)) % 45.80/46.08 (step @p471 :rule refl :args (@t426)) % 45.80/46.08 (step @p472 :rule nary_cong :premises (@p471 @p470) :args ((or @t426 (not @t425)))) % 45.80/46.08 (step @p473 :rule cnf_or_neg :args (@t426 0)) % 45.80/46.08 (step @p474 :rule eq_resolve :premises (@p473 @p472)) % 45.80/46.08 (step @p475 :rule reordering :premises (@p474) :args ((or @t424 @t426))) % 45.80/46.08 (step @p476 :rule chain_m_resolution :premises (@p475 @p467) :args (@t424 @t432 @t435)) % 45.80/46.08 (step @p477 :rule bool-double-not-elim :args (@t423)) % 45.80/46.08 (step @p478 :rule refl :args (@t425)) % 45.80/46.08 (step @p479 :rule refl :args (@t436)) % 45.80/46.08 (step @p480 :rule 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45.80/46.08 (step @p914 :rule cnf_or_neg :args (@t409 0)) % 45.80/46.08 (step @p915 :rule eq_resolve :premises (@p914 @p913)) % 45.80/46.08 (step @p916 :rule reordering :premises (@p915) :args ((or @t406 @t409))) % 45.80/46.08 (step @p917 :rule chain_m_resolution :premises (@p916 @p809) :args (@t406 @t432 @t519)) % 45.80/46.08 (assume-push @p1054 @t406) % 45.80/46.08 (assume-push @p1055 @t465) % 45.80/46.08 (assume-push @p1056 @t466) % 45.80/46.08 (assume-push @p1057 @t510) % 45.80/46.08 (assume-push @p1058 @t406) % 45.80/46.08 (assume-push @p1059 @t465) % 45.80/46.08 (assume-push @p1060 @t466) % 45.80/46.08 (assume-push @p1061 @t510) % 45.80/46.08 (step @p926 :rule true_intro :premises (@p1054)) % 45.80/46.08 (step @p927 :rule symm :premises (@p578)) % 45.80/46.08 (step @p928 :rule symm :premises (@p574)) % 45.80/46.08 (step @p520 :rule refl :args (@t271)) % 45.80/46.08 (step @p521 :rule refl :args (@t256)) % 45.80/46.08 (step @p929 :rule cong :premises (@p521 @p520 @p928 @p927) :args (@t452)) % 45.80/46.08 (step @p930 :rule refl :args (@t450)) % 45.80/46.08 (step @p931 :rule refl :args (@t451)) % 45.80/46.08 (step @p932 :rule symm :premises (@p1057)) % 45.80/46.08 (step @p933 :rule cong :premises (@p521 @p932 @p931 @p930) :args (@t529)) % 45.80/46.08 (step @p934 :rule trans :premises (@p933 @p929 @p926)) % 45.80/46.08 (step @p935 :rule true_elim :premises (@p934)) % 45.80/46.08 (step-pop @p1062 :rule scope :premises (@p935)) % 45.80/46.08 (step-pop @p1063 :rule scope :premises (@p1062)) % 45.80/46.08 (step-pop @p1064 :rule scope :premises (@p1063)) % 45.80/46.08 (step-pop @p1065 :rule scope :premises (@p1064)) % 45.80/46.08 (step @p936 :rule process_scope :premises (@p1065) :args (@t529)) % 45.80/46.08 (step @p941 :rule and_intro :premises (@p1054 @p574 @p578 @p1057)) % 45.80/46.08 (step @p942 :rule modus_ponens :premises (@p941 @p936)) % 45.80/46.08 (step-pop @p1066 :rule scope :premises (@p942)) % 45.80/46.08 (step-pop @p1067 :rule scope :premises (@p1066)) % 45.80/46.08 (step-pop @p1068 :rule scope :premises (@p1067)) % 45.80/46.08 (step-pop @p1069 :rule scope :premises (@p1068)) % 45.80/46.08 (step @p943 :rule process_scope :premises (@p1069) :args (@t529)) % 45.80/46.08 (step @p948 :rule implies_elim :premises (@p943)) % 45.80/46.08 (step @p949 :rule cnf_and_neg :args (@t530)) % 45.80/46.08 (step @p950 :rule resolution :premises (@p949 @p948) :args (true @t530)) % 45.80/46.08 (step @p951 :rule reordering :premises (@p950) :args ((or @t408 @t469 @t468 @t529 @t511))) % 45.80/46.08 (step @p952 :rule chain_m_resolution :premises (@p951 @p917 @p574 @p578 @p818) :args (@t529 @t524 (@list @t406 @t465 @t466 @t510))) % 45.80/46.08 (step @p953 :rule cnf_equiv_pos2 :args (@t531)) % 45.80/46.08 (step @p954 :rule reordering :premises (@p953) :args ((or @t302 (not @t529) (not @t531)))) % 45.80/46.08 (step @p955 :rule chain_m_resolution :premises (@p954 @p952 @p910) :args (@t302 @t439 (@list @t529 @t531))) % 45.80/46.08 (step @p956 :rule cnf_and_neg :args (@t305)) % 45.80/46.08 (step @p957 false :rule chain_m_resolution :premises (@p956 @p955 @p909 @p863 @p813) :args (false (@list false false false true) (@list @t302 @t304 @t303 @t305))) % 45.80/46.08 ) % 45.80/46.08 % SZS output end Proof % 45.80/46.08 % cvc5 exiting %------------------------------------------------------------------------------