%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW646_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 : n004.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 196.91s 197.19s % Output : Proof 197.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW646_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 % 0.18/0.34 % Computer : n004.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 22:21:22 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.52 %----Proving TF0_ARI % 196.91/197.19 --- Run --finite-model-find --decision=internal at 45... % 196.91/197.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 196.91/197.19 --- Run --no-e-matching --full-saturate-quant at 45... % 196.91/197.19 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 196.91/197.19 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --no-cegqi --no-sygus-inst at 45... % 196.91/197.19 % SZS status Theorem % 196.91/197.19 % SZS output start Proof % 196.91/197.19 ( % 196.91/197.19 (declare-sort tptp.sudoku_chunks1 0) % 196.91/197.19 (declare-sort tptp.array_int 0) % 196.91/197.19 (declare-sort tptp.map_int_int 0) % 196.91/197.19 (declare-sort tptp.tuple02 0) % 196.91/197.19 (declare-sort tptp.bool1 0) % 196.91/197.19 (declare-sort tptp.ty 0) % 196.91/197.19 (declare-sort tptp.uni 0) % 196.91/197.19 (declare-const tptp.valid_chunk_up_to1 (-> tptp.map_int_int Int tptp.array_int tptp.array_int Int Bool)) % 196.91/197.19 (declare-const tptp.is_solution_for1 (-> tptp.sudoku_chunks1 tptp.map_int_int tptp.map_int_int Bool)) % 196.91/197.19 (declare-const tptp.included1 (-> tptp.map_int_int tptp.map_int_int Bool)) % 196.91/197.19 (declare-const tptp.full1 (-> tptp.map_int_int Bool)) % 196.91/197.19 (declare-const tptp.valid_square1 (-> tptp.sudoku_chunks1 tptp.map_int_int Int Bool)) % 196.91/197.19 (declare-const tptp.valid_row1 (-> tptp.sudoku_chunks1 tptp.map_int_int Int Bool)) % 196.91/197.19 (declare-const tptp.valid_column1 (-> tptp.sudoku_chunks1 tptp.map_int_int Int Bool)) % 196.91/197.19 (declare-const tptp.valid_chunk1 (-> tptp.map_int_int Int tptp.array_int tptp.array_int Bool)) % 196.91/197.19 (declare-const tptp.disjoint_chunks1 (-> tptp.array_int tptp.array_int Bool)) % 196.91/197.19 (declare-const tptp.chunk_valid_indexes1 (-> tptp.array_int tptp.array_int Bool)) % 196.91/197.19 (declare-const tptp.tb2t2 (-> tptp.uni tptp.array_int)) % 196.91/197.19 (declare-const tptp.t2tb2 (-> tptp.array_int tptp.uni)) % 196.91/197.19 (declare-const tptp.square_offsets1 (-> tptp.sudoku_chunks1 tptp.array_int)) % 196.91/197.19 (declare-const tptp.square_start1 (-> tptp.sudoku_chunks1 tptp.array_int)) % 196.91/197.19 (declare-const tptp.valid1 (-> tptp.sudoku_chunks1 tptp.map_int_int Bool)) % 196.91/197.19 (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 196.91/197.19 (declare-const tptp.full_up_to1 (-> tptp.map_int_int Int Bool)) % 196.91/197.19 (declare-const tptp.tuple03 tptp.tuple02) % 196.91/197.19 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 196.91/197.19 (declare-const tptp.make1 (-> tptp.ty Int tptp.uni tptp.uni)) % 196.91/197.19 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 196.91/197.19 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 196.91/197.19 (declare-const tptp.valid_up_to1 (-> tptp.sudoku_chunks1 tptp.map_int_int Int Bool)) % 196.91/197.19 (declare-const tptp.set2 (-> tptp.ty tptp.uni Int tptp.uni tptp.uni)) % 196.91/197.19 (declare-const tptp.true1 tptp.bool1) % 196.91/197.19 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 196.91/197.19 (declare-const tptp.t2tb (-> tptp.map_int_int tptp.uni)) % 196.91/197.19 (declare-const tptp.column_offsets1 (-> tptp.sudoku_chunks1 tptp.array_int)) % 196.91/197.19 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 196.91/197.19 (declare-const tptp.false1 tptp.bool1) % 196.91/197.19 (declare-const tptp.valid_values1 (-> tptp.map_int_int Bool)) % 196.91/197.19 (declare-const tptp.array (-> tptp.ty tptp.ty)) % 196.91/197.19 (declare-const tptp.column_start1 (-> tptp.sudoku_chunks1 tptp.array_int)) % 196.91/197.19 (declare-const tptp.row_offsets1 (-> tptp.sudoku_chunks1 tptp.array_int)) % 196.91/197.19 (declare-const tptp.tb2t (-> tptp.uni tptp.map_int_int)) % 196.91/197.19 (declare-const tptp.t2tb1 (-> Int tptp.uni)) % 196.91/197.19 (declare-const tptp.mk_array1 (-> tptp.ty Int tptp.uni tptp.uni)) % 196.91/197.19 (declare-const tptp.tb2t1 (-> tptp.uni Int)) % 196.91/197.19 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 196.91/197.19 (declare-const tptp.int tptp.ty) % 196.91/197.19 (declare-const tptp.grid_eq_sub1 (-> tptp.map_int_int tptp.map_int_int Int Int Bool)) % 196.91/197.19 (declare-const tptp.length1 (-> tptp.ty tptp.uni Int)) % 196.91/197.19 (declare-const tptp.well_formed_sudoku1 (-> tptp.sudoku_chunks1 Bool)) % 196.91/197.19 (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni)) % 196.91/197.19 (declare-const tptp.row_start1 (-> tptp.sudoku_chunks1 tptp.array_int)) % 196.91/197.19 (declare-const tptp.get2 (-> tptp.ty tptp.uni Int tptp.uni)) % 196.91/197.19 (declare-const tptp.is_index1 (-> Int Bool)) % 196.91/197.19 (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)) % 196.91/197.19 (define @t1 () (@var "A" tptp.ty)) % 196.91/197.19 (define @t2 () (@var "X2" tptp.uni)) % 196.91/197.19 (define @t3 () (@var "X1" tptp.uni)) % 196.91/197.19 (define @t4 () (@var "X" tptp.bool1)) % 196.91/197.19 (define @t5 () (@var "Z" tptp.uni)) % 196.91/197.19 (define @t6 () (@var "Z1" tptp.uni)) % 196.91/197.19 (define @t7 () (@list @t1 @t5 @t6)) % 196.91/197.19 (define @t8 () (@var "U" tptp.bool1)) % 196.91/197.19 (define @t9 () (@var "U" tptp.tuple02)) % 196.91/197.19 (define @t10 () (@var "Z" Int)) % 196.91/197.19 (define @t11 () (@var "Y" Int)) % 196.91/197.19 (define @t12 () (@var "X" Int)) % 196.91/197.19 (define @t13 () (@var "X" tptp.uni)) % 196.91/197.19 (define @t14 () (@var "B" tptp.ty)) % 196.91/197.19 (define @t15 () (tptp.map @t1 @t14)) % 196.91/197.19 (define @t16 () (@var "B1" tptp.uni)) % 196.91/197.19 (define @t17 () (@var "A2" tptp.uni)) % 196.91/197.19 (define @t18 () (@var "A1" tptp.uni)) % 196.91/197.19 (define @t19 () (@var "M" tptp.uni)) % 196.91/197.19 (define @t20 () (tptp.get @t14 @t1 (tptp.set @t14 @t1 @t19 @t18 @t16) @t17)) % 196.91/197.19 (define @t21 () (= @t18 @t17)) % 196.91/197.19 (define @t22 () (=> @t21 (= @t20 @t16))) % 196.91/197.19 (define @t23 () (tptp.sort1 @t14 @t16)) % 196.91/197.19 (define @t24 () (=> @t23 @t22)) % 196.91/197.19 (define @t25 () (@list @t1 @t14 @t19 @t18 @t17 @t16)) % 196.91/197.19 (define @t26 () (forall @t25 @t24)) % 196.91/197.19 (define @t27 () (tptp.get @t14 @t1 @t19 @t17)) % 196.91/197.19 (define @t28 () (= @t20 @t27)) % 196.91/197.19 (define @t29 () (not @t21)) % 196.91/197.19 (define @t30 () (@list @t16)) % 196.91/197.19 (define @t31 () (forall @t30 (=> @t29 @t28))) % 196.91/197.19 (define @t32 () (tptp.sort1 @t1 @t17)) % 196.91/197.19 (define @t33 () (=> @t32 @t31)) % 196.91/197.19 (define @t34 () (tptp.sort1 @t1 @t18)) % 196.91/197.19 (define @t35 () (=> @t34 @t33)) % 196.91/197.19 (define @t36 () (@list @t1 @t14 @t19 @t18 @t17)) % 196.91/197.19 (define @t37 () (forall @t36 @t35)) % 196.91/197.19 (define @t38 () (@var "I" Int)) % 196.91/197.19 (define @t39 () (<= 0 @t38)) % 196.91/197.19 (define @t40 () (and @t39 (< @t38 81))) % 196.91/197.19 (define @t41 () (tptp.is_index1 @t38)) % 196.91/197.19 (define @t42 () (= @t41 @t40)) % 196.91/197.19 (define @t43 () (@list @t38)) % 196.91/197.19 (define @t44 () (forall @t43 @t42)) % 196.91/197.19 (define @t45 () (@var "X" tptp.map_int_int)) % 196.91/197.19 (define @t46 () (@var "I" tptp.map_int_int)) % 196.91/197.19 (define @t47 () (@var "J" tptp.uni)) % 196.91/197.19 (define @t48 () (tptp.t2tb (tptp.tb2t @t47))) % 196.91/197.19 (define @t49 () (@list @t47)) % 196.91/197.19 (define @t50 () (forall @t49 (= @t48 @t47))) % 196.91/197.19 (define @t51 () (tptp.t2tb1 @t12)) % 196.91/197.19 (define @t52 () (tptp.t2tb1 @t38)) % 196.91/197.19 (define @t53 () (tptp.tb2t1 @t52)) % 196.91/197.19 (define @t54 () (= @t53 @t38)) % 196.91/197.19 (define @t55 () (forall @t43 @t54)) % 196.91/197.19 (define @t56 () (tptp.t2tb1 (tptp.tb2t1 @t47))) % 196.91/197.19 (define @t57 () (forall @t49 (= @t56 @t47))) % 196.91/197.19 (define @t58 () (@var "G" tptp.map_int_int)) % 196.91/197.19 (define @t59 () (tptp.t2tb @t58)) % 196.91/197.19 (define @t60 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t59 @t52))) % 196.91/197.19 (define @t61 () (<= @t60 9)) % 196.91/197.19 (define @t62 () (@list @t58)) % 196.91/197.19 (define @t63 () (@var "J" Int)) % 196.91/197.19 (define @t64 () (tptp.t2tb1 @t63)) % 196.91/197.19 (define @t65 () (@var "G2" tptp.map_int_int)) % 196.91/197.19 (define @t66 () (tptp.t2tb @t65)) % 196.91/197.19 (define @t67 () (@var "G1" tptp.map_int_int)) % 196.91/197.19 (define @t68 () (tptp.t2tb @t67)) % 196.91/197.19 (define @t69 () (= (tptp.tb2t1 (tptp.get tptp.int tptp.int @t68 @t64)) (tptp.tb2t1 (tptp.get tptp.int tptp.int @t66 @t64)))) % 196.91/197.19 (define @t70 () (@var "B" Int)) % 196.91/197.19 (define @t71 () (@var "A" Int)) % 196.91/197.19 (define @t72 () (and (<= @t71 @t63) (< @t63 @t70))) % 196.91/197.19 (define @t73 () (=> @t72 @t69)) % 196.91/197.19 (define @t74 () (@list @t63)) % 196.91/197.19 (define @t75 () (forall @t74 @t73)) % 196.91/197.19 (define @t76 () (tptp.grid_eq_sub1 @t67 @t65 @t71 @t70)) % 196.91/197.19 (define @t77 () (= @t76 @t75)) % 196.91/197.19 (define @t78 () (@list @t67 @t65 @t71 @t70)) % 196.91/197.19 (define @t79 () (forall @t78 @t77)) % 196.91/197.19 (define @t80 () (tptp.grid_eq_sub1 @t67 @t65 0 81)) % 196.91/197.19 (define @t81 () (tptp.array @t1)) % 196.91/197.19 (define @t82 () (@list @t1 @t12 @t3)) % 196.91/197.19 (define @t83 () (@var "U" Int)) % 196.91/197.19 (define @t84 () (@var "U1" tptp.uni)) % 196.91/197.19 (define @t85 () (tptp.mk_array1 @t1 @t83 @t84)) % 196.91/197.19 (define @t86 () (@list @t1 @t83 @t84)) % 196.91/197.19 (define @t87 () (tptp.map tptp.int @t1)) % 196.91/197.19 (define @t88 () (@var "U" tptp.uni)) % 196.91/197.19 (define @t89 () (@var "X1" Int)) % 196.91/197.19 (define @t90 () (tptp.elts @t1 @t18)) % 196.91/197.19 (define @t91 () (@var "V" tptp.uni)) % 196.91/197.19 (define @t92 () (@var "N" Int)) % 196.91/197.19 (define @t93 () (@var "U" tptp.array_int)) % 196.91/197.19 (define @t94 () (@var "U5" tptp.array_int)) % 196.91/197.19 (define @t95 () (@var "U4" tptp.array_int)) % 196.91/197.19 (define @t96 () (@var "U3" tptp.array_int)) % 196.91/197.19 (define @t97 () (@var "U2" tptp.array_int)) % 196.91/197.19 (define @t98 () (@var "U1" tptp.array_int)) % 196.91/197.19 (define @t99 () (tptp.mk_sudoku_chunks1 @t93 @t98 @t97 @t96 @t95 @t94)) % 196.91/197.19 (define @t100 () (tptp.column_start1 @t99)) % 196.91/197.19 (define @t101 () (@list @t93 @t98 @t97 @t96 @t95 @t94)) % 196.91/197.19 (define @t102 () (forall @t101 (= @t100 @t93))) % 196.91/197.19 (define @t103 () (tptp.column_offsets1 @t99)) % 196.91/197.19 (define @t104 () (forall @t101 (= @t103 @t98))) % 196.91/197.19 (define @t105 () (@var "U" tptp.sudoku_chunks1)) % 196.91/197.19 (define @t106 () (@var "X" tptp.array_int)) % 196.91/197.19 (define @t107 () (@var "I" tptp.array_int)) % 196.91/197.19 (define @t108 () (@var "O" Int)) % 196.91/197.19 (define @t109 () (@var "Offsets" tptp.array_int)) % 196.91/197.19 (define @t110 () (tptp.t2tb2 @t109)) % 196.91/197.19 (define @t111 () (tptp.tb2t1 (tptp.get2 tptp.int @t110 @t108))) % 196.91/197.19 (define @t112 () (@var "Start" tptp.array_int)) % 196.91/197.19 (define @t113 () (tptp.t2tb2 @t112)) % 196.91/197.19 (define @t114 () (tptp.tb2t1 (tptp.get2 tptp.int @t113 @t38))) % 196.91/197.19 (define @t115 () (< @t108 9)) % 196.91/197.19 (define @t116 () (<= 0 @t108)) % 196.91/197.19 (define @t117 () (= (tptp.length1 tptp.int @t110) 9)) % 196.91/197.19 (define @t118 () (= (tptp.length1 tptp.int @t113) 81)) % 196.91/197.19 (define @t119 () (@list @t112 @t109)) % 196.91/197.19 (define @t120 () (@var "I2" Int)) % 196.91/197.19 (define @t121 () (tptp.tb2t1 (tptp.get2 tptp.int @t113 @t120))) % 196.91/197.19 (define @t122 () (@var "I1" Int)) % 196.91/197.19 (define @t123 () (= (tptp.tb2t1 (tptp.get2 tptp.int @t113 @t122)) @t121)) % 196.91/197.19 (define @t124 () (not @t123)) % 196.91/197.19 (define @t125 () (tptp.is_index1 @t120)) % 196.91/197.19 (define @t126 () (tptp.is_index1 @t122)) % 196.91/197.19 (define @t127 () (tptp.disjoint_chunks1 @t112 @t109)) % 196.91/197.19 (define @t128 () (@var "S" tptp.sudoku_chunks1)) % 196.91/197.19 (define @t129 () (tptp.square_offsets1 @t128)) % 196.91/197.19 (define @t130 () (tptp.square_start1 @t128)) % 196.91/197.19 (define @t131 () (tptp.row_offsets1 @t128)) % 196.91/197.19 (define @t132 () (tptp.row_start1 @t128)) % 196.91/197.19 (define @t133 () (tptp.column_offsets1 @t128)) % 196.91/197.19 (define @t134 () (tptp.column_start1 @t128)) % 196.91/197.19 (define @t135 () (tptp.well_formed_sudoku1 @t128)) % 196.91/197.19 (define @t136 () (@var "O2" Int)) % 196.91/197.19 (define @t137 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t59 (tptp.t2tb1 (+ @t114 (tptp.tb2t1 (tptp.get2 tptp.int @t110 @t136))))))) % 196.91/197.19 (define @t138 () (@var "O1" Int)) % 196.91/197.19 (define @t139 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t59 (tptp.t2tb1 (+ @t114 (tptp.tb2t1 (tptp.get2 tptp.int @t110 @t138))))))) % 196.91/197.19 (define @t140 () (=> (and (<= 1 @t139) (<= @t139 9) (<= 1 @t137) (<= @t137 9)) (not (= @t139 @t137)))) % 196.91/197.19 (define @t141 () (not (= @t138 @t136))) % 196.91/197.19 (define @t142 () (<= 0 @t136)) % 196.91/197.19 (define @t143 () (<= 0 @t138)) % 196.91/197.19 (define @t144 () (@list @t138 @t136)) % 196.91/197.19 (define @t145 () (tptp.valid_column1 @t128 @t58 @t38)) % 196.91/197.19 (define @t146 () (@list @t128 @t58 @t38)) % 196.91/197.19 (define @t147 () (tptp.valid_row1 @t128 @t58 @t38)) % 196.91/197.19 (define @t148 () (tptp.valid_square1 @t128 @t58 @t38)) % 196.91/197.19 (define @t149 () (and @t145 @t147 @t148)) % 196.91/197.19 (define @t150 () (forall @t43 (=> @t41 @t149))) % 196.91/197.19 (define @t151 () (tptp.valid1 @t128 @t58)) % 196.91/197.19 (define @t152 () (= @t151 @t150)) % 196.91/197.19 (define @t153 () (forall (@list @t128 @t58) @t152)) % 196.91/197.19 (define @t154 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t68 @t52))) % 196.91/197.19 (define @t155 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t66 @t52))) % 196.91/197.19 (define @t156 () (= @t155 @t154)) % 196.91/197.19 (define @t157 () (and @t41 (<= 1 @t154) (<= @t154 9))) % 196.91/197.19 (define @t158 () (=> @t157 @t156)) % 196.91/197.19 (define @t159 () (forall @t43 @t158)) % 196.91/197.19 (define @t160 () (tptp.included1 @t67 @t65)) % 196.91/197.19 (define @t161 () (= @t160 @t159)) % 196.91/197.19 (define @t162 () (forall (@list @t67 @t65) @t161)) % 196.91/197.19 (define @t163 () (@var "O" tptp.array_int)) % 196.91/197.19 (define @t164 () (@var "S" tptp.array_int)) % 196.91/197.19 (define @t165 () (tptp.valid_chunk1 @t58 @t38 @t164 @t163)) % 196.91/197.19 (define @t166 () (@var "H" tptp.map_int_int)) % 196.91/197.19 (define @t167 () (tptp.valid_chunk1 @t166 @t38 @t164 @t163)) % 196.91/197.19 (define @t168 () (tptp.chunk_valid_indexes1 @t164 @t163)) % 196.91/197.19 (define @t169 () (and @t41 @t168 @t167)) % 196.91/197.19 (define @t170 () (@list @t38 @t164 @t163)) % 196.91/197.19 (define @t171 () (forall @t170 (=> @t169 @t165))) % 196.91/197.19 (define @t172 () (tptp.included1 @t58 @t166)) % 196.91/197.19 (define @t173 () (=> @t172 @t171)) % 196.91/197.19 (define @t174 () (@list @t58 @t166)) % 196.91/197.19 (define @t175 () (forall @t174 @t173)) % 196.91/197.19 (define @t176 () (@var "Sol" tptp.map_int_int)) % 196.91/197.19 (define @t177 () (@var "Data" tptp.map_int_int)) % 196.91/197.19 (define @t178 () (@var "Off" Int)) % 196.91/197.19 (define @t179 () (and (<= 0 @t63) (< @t63 @t38))) % 196.91/197.19 (define @t180 () (tptp.valid_up_to1 @t128 @t58 @t38)) % 196.91/197.19 (define @t181 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t59 @t64))) % 196.91/197.19 (define @t182 () (tptp.full_up_to1 @t58 @t38)) % 196.91/197.19 (define @t183 () (+ @t38 1)) % 196.91/197.19 (define @t184 () (tptp.tb2t (tptp.set tptp.int tptp.int @t59 @t52 @t51))) % 196.91/197.19 (define @t185 () (<= @t12 9)) % 196.91/197.19 (define @t186 () (<= 1 @t12)) % 196.91/197.19 (define @t187 () (tptp.full_up_to1 @t65 @t38)) % 196.91/197.19 (define @t188 () (tptp.full_up_to1 @t67 @t38)) % 196.91/197.19 (define @t189 () (<= @t38 81)) % 196.91/197.19 (define @t190 () (@list @t67 @t65 @t38)) % 196.91/197.19 (define @t191 () (@var "K" Int)) % 196.91/197.19 (define @t192 () (tptp.t2tb1 @t191)) % 196.91/197.19 (define @t193 () (tptp.tb2t (tptp.set tptp.int tptp.int @t59 (tptp.t2tb1 @t122) @t192))) % 196.91/197.19 (define @t194 () (tptp.valid_chunk1 @t193 @t120 @t112 @t109)) % 196.91/197.19 (define @t195 () (<= @t191 9)) % 196.91/197.19 (define @t196 () (<= 1 @t191)) % 196.91/197.19 (define @t197 () (and @t126 @t125 @t196 @t195)) % 196.91/197.19 (define @t198 () (@list @t58 @t122 @t120 @t191 @t112 @t109)) % 196.91/197.19 (define @t199 () (@var "S11" tptp.map_int_int)) % 196.91/197.19 (define @t200 () (@var "S10" Int)) % 196.91/197.19 (define @t201 () (@var "S9" tptp.map_int_int)) % 196.91/197.19 (define @t202 () (@var "S8" Int)) % 196.91/197.19 (define @t203 () (@var "S7" tptp.map_int_int)) % 196.91/197.19 (define @t204 () (@var "S6" Int)) % 196.91/197.19 (define @t205 () (@var "S5" tptp.map_int_int)) % 196.91/197.19 (define @t206 () (@var "S4" Int)) % 196.91/197.19 (define @t207 () (@var "S3" tptp.map_int_int)) % 196.91/197.19 (define @t208 () (@var "S2" Int)) % 196.91/197.19 (define @t209 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t208 (tptp.t2tb @t207)))) % 196.91/197.19 (define @t210 () (@var "S1" tptp.map_int_int)) % 196.91/197.19 (define @t211 () (@var "S" Int)) % 196.91/197.19 (define @t212 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t211 (tptp.t2tb @t210)))) % 196.91/197.19 (define @t213 () (tptp.mk_sudoku_chunks1 @t212 @t209 (tptp.tb2t2 (tptp.mk_array1 tptp.int @t206 (tptp.t2tb @t205))) (tptp.tb2t2 (tptp.mk_array1 tptp.int @t204 (tptp.t2tb @t203))) (tptp.tb2t2 (tptp.mk_array1 tptp.int @t202 (tptp.t2tb @t201))) (tptp.tb2t2 (tptp.mk_array1 tptp.int @t200 (tptp.t2tb @t199))))) % 196.91/197.19 (define @t214 () (not (tptp.valid1 @t213 (tptp.tb2t (tptp.set tptp.int tptp.int @t68 @t52 @t192))))) % 196.91/197.19 (define @t215 () (@var "G3" tptp.map_int_int)) % 196.91/197.19 (define @t216 () (tptp.valid_chunk1 @t215 @t38 @t212 @t209)) % 196.91/197.19 (define @t217 () (not @t216)) % 196.91/197.19 (define @t218 () (=> @t217 @t214)) % 196.91/197.19 (define @t219 () (tptp.chunk_valid_indexes1 @t212 @t209)) % 196.91/197.19 (define @t220 () (tptp.valid_values1 @t215)) % 196.91/197.19 (define @t221 () (@var "G" Int)) % 196.91/197.19 (define @t222 () (= @t221 81)) % 196.91/197.19 (define @t223 () (and @t222 @t220 @t41 @t219)) % 196.91/197.19 (define @t224 () (=> @t223 @t218)) % 196.91/197.19 (define @t225 () (tptp.tb2t (tptp.set tptp.int tptp.int @t66 @t52 @t192))) % 196.91/197.19 (define @t226 () (= @t215 @t225)) % 196.91/197.19 (define @t227 () (<= 0 @t221)) % 196.91/197.19 (define @t228 () (and @t227 @t226)) % 196.91/197.19 (define @t229 () (=> @t228 @t224)) % 196.91/197.19 (define @t230 () (@list @t215)) % 196.91/197.19 (define @t231 () (forall @t230 @t229)) % 196.91/197.19 (define @t232 () (< @t38 @t221)) % 196.91/197.19 (define @t233 () (and @t227 @t39 @t232)) % 196.91/197.19 (define @t234 () (=> @t233 @t231)) % 196.91/197.19 (define @t235 () (not (tptp.valid1 @t213 @t166))) % 196.91/197.19 (define @t236 () (tptp.full1 @t166)) % 196.91/197.19 (define @t237 () (@var "Kqt" Int)) % 196.91/197.19 (define @t238 () (tptp.t2tb1 @t237)) % 196.91/197.19 (define @t239 () (tptp.tb2t (tptp.set tptp.int tptp.int @t68 @t52 @t238))) % 196.91/197.19 (define @t240 () (tptp.included1 @t239 @t166)) % 196.91/197.19 (define @t241 () (and @t240 @t236)) % 196.91/197.19 (define @t242 () (@list @t166)) % 196.91/197.19 (define @t243 () (forall @t242 (=> @t241 @t235))) % 196.91/197.19 (define @t244 () (and (<= 1 @t237) (< @t237 @t191))) % 196.91/197.19 (define @t245 () (=> @t244 @t243)) % 196.91/197.19 (define @t246 () (@list @t237)) % 196.91/197.19 (define @t247 () (forall @t246 @t245)) % 196.91/197.19 (define @t248 () (tptp.t2tb1 0)) % 196.91/197.19 (define @t249 () (tptp.grid_eq_sub1 @t67 (tptp.tb2t (tptp.set tptp.int tptp.int @t66 @t52 @t248)) 0 81)) % 196.91/197.19 (define @t250 () (and @t249 @t187 @t247)) % 196.91/197.19 (define @t251 () (=> @t250 @t234)) % 196.91/197.19 (define @t252 () (and @t196 @t195)) % 196.91/197.19 (define @t253 () (=> @t252 @t251)) % 196.91/197.19 (define @t254 () (@list @t65 @t191)) % 196.91/197.19 (define @t255 () (forall @t254 @t253)) % 196.91/197.19 (define @t256 () (<= 1 9)) % 196.91/197.19 (define @t257 () (=> @t256 @t255)) % 196.91/197.19 (define @t258 () (= @t154 0)) % 196.91/197.19 (define @t259 () (not @t258)) % 196.91/197.19 (define @t260 () (=> (not @t259) @t257)) % 196.91/197.19 (define @t261 () (and @t39 @t232)) % 196.91/197.19 (define @t262 () (=> @t261 @t260)) % 196.91/197.19 (define @t263 () (= @t38 81)) % 196.91/197.19 (define @t264 () (not @t263)) % 196.91/197.19 (define @t265 () (=> @t264 @t262)) % 196.91/197.19 (define @t266 () (tptp.valid_up_to1 @t213 @t67 @t38)) % 196.91/197.19 (define @t267 () (tptp.valid_values1 @t67)) % 196.91/197.19 (define @t268 () (tptp.well_formed_sudoku1 @t213)) % 196.91/197.19 (define @t269 () (and (<= 0 @t211) (<= 0 @t208) (<= 0 @t206) (<= 0 @t204) (<= 0 @t202) (<= 0 @t200) @t227 @t268 @t222 @t267 @t39 @t189 @t266 @t188)) % 196.91/197.19 (define @t270 () (=> @t269 @t265)) % 196.91/197.19 (define @t271 () (@list @t211 @t210 @t208 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t221 @t67 @t38)) % 196.91/197.19 (define @t272 () (forall @t271 @t270)) % 196.91/197.19 (define @t273 () (not @t272)) % 196.91/197.19 (define @t274 () (@var "BOUND_VARIABLE_8789" Int)) % 196.91/197.19 (define @t275 () (tptp.t2tb1 @t274)) % 196.91/197.19 (define @t276 () (@var "BOUND_VARIABLE_8787" tptp.map_int_int)) % 196.91/197.19 (define @t277 () (tptp.t2tb @t276)) % 196.91/197.19 (define @t278 () (tptp.tb2t (tptp.set tptp.int tptp.int @t277 @t52 @t275))) % 196.91/197.19 (define @t279 () (tptp.valid_chunk1 @t278 @t38 @t212 @t209)) % 196.91/197.19 (define @t280 () (not (tptp.valid_values1 @t278))) % 196.91/197.19 (define @t281 () (not (tptp.valid1 @t213 (tptp.tb2t (tptp.set tptp.int tptp.int @t68 @t52 @t275))))) % 196.91/197.19 (define @t282 () (@var "BOUND_VARIABLE_8697" tptp.map_int_int)) % 196.91/197.19 (define @t283 () (not (tptp.valid1 @t213 @t282))) % 196.91/197.19 (define @t284 () (not (tptp.full1 @t282))) % 196.91/197.19 (define @t285 () (not (tptp.included1 @t239 @t282))) % 196.91/197.19 (define @t286 () (+ @t237 (* -1 @t274))) % 196.91/197.19 (define @t287 () (>= @t286 0)) % 196.91/197.19 (define @t288 () (>= @t237 1)) % 196.91/197.19 (define @t289 () (not @t288)) % 196.91/197.19 (define @t290 () (@list @t237 @t282)) % 196.91/197.19 (define @t291 () (not (forall @t290 (or @t289 @t287 @t285 @t284 @t283)))) % 196.91/197.19 (define @t292 () (>= @t274 10)) % 196.91/197.19 (define @t293 () (not (>= @t274 1))) % 196.91/197.19 (define @t294 () (not (tptp.full_up_to1 @t276 @t38))) % 196.91/197.19 (define @t295 () (not (tptp.grid_eq_sub1 @t67 (tptp.tb2t (tptp.set tptp.int tptp.int @t277 @t52 @t248)) 0 81))) % 196.91/197.19 (define @t296 () (not @t219)) % 196.91/197.19 (define @t297 () (not @t41)) % 196.91/197.19 (define @t298 () (>= @t38 81)) % 196.91/197.19 (define @t299 () (not @t188)) % 196.91/197.19 (define @t300 () (not @t266)) % 196.91/197.19 (define @t301 () (>= @t38 82)) % 196.91/197.19 (define @t302 () (>= @t38 0)) % 196.91/197.19 (define @t303 () (not @t302)) % 196.91/197.19 (define @t304 () (not @t267)) % 196.91/197.19 (define @t305 () (not @t268)) % 196.91/197.19 (define @t306 () (>= @t200 0)) % 196.91/197.19 (define @t307 () (not @t306)) % 196.91/197.19 (define @t308 () (>= @t202 0)) % 196.91/197.19 (define @t309 () (not @t308)) % 196.91/197.19 (define @t310 () (>= @t204 0)) % 196.91/197.19 (define @t311 () (not @t310)) % 196.91/197.19 (define @t312 () (>= @t206 0)) % 196.91/197.19 (define @t313 () (not @t312)) % 196.91/197.19 (define @t314 () (>= @t208 0)) % 196.91/197.19 (define @t315 () (not @t314)) % 196.91/197.19 (define @t316 () (>= @t211 0)) % 196.91/197.19 (define @t317 () (not @t316)) % 196.91/197.19 (define @t318 () (or @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t304 @t303 @t301 @t300 @t299 @t263 @t298 @t259 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t281 @t280 @t279)) % 196.91/197.19 (define @t319 () (@list @t211 @t210 @t208 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t67 @t38 @t276 @t274)) % 196.91/197.19 (define @t320 () (forall @t319 @t318)) % 196.91/197.19 (define @t321 () (@quantifiers_skolemize @t320 13)) % 196.91/197.19 (define @t322 () (tptp.t2tb1 @t321)) % 196.91/197.19 (define @t323 () (@quantifiers_skolemize @t320 14)) % 196.91/197.19 (define @t324 () (tptp.t2tb @t323)) % 196.91/197.19 (define @t325 () (tptp.set tptp.int tptp.int @t324 @t322 @t248)) % 196.91/197.19 (define @t326 () (@quantifiers_skolemize @t320 15)) % 196.91/197.19 (define @t327 () (tptp.t2tb1 @t326)) % 196.91/197.19 (define @t328 () (@quantifiers_skolemize @t320 12)) % 196.91/197.19 (define @t329 () (tptp.t2tb @t328)) % 196.91/197.19 (define @t330 () (tptp.set tptp.int tptp.int @t329 @t322 @t327)) % 196.91/197.19 (define @t331 () (tptp.set tptp.int tptp.int @t324 @t322 @t327)) % 196.91/197.19 (define @t332 () (= @t154 @t155)) % 196.91/197.19 (define @t333 () (>= @t154 10)) % 196.91/197.19 (define @t334 () (>= @t154 1)) % 196.91/197.19 (define @t335 () (not @t334)) % 196.91/197.19 (define @t336 () (not @t333)) % 196.91/197.19 (define @t337 () (not @t336)) % 196.91/197.19 (define @t338 () (or @t297 @t335 @t337)) % 196.91/197.19 (define @t339 () (and @t41 @t334 @t336)) % 196.91/197.19 (define @t340 () (+ 9 1)) % 196.91/197.19 (define @t341 () (>= @t154 @t340)) % 196.91/197.19 (define @t342 () (tptp.tb2t @t330)) % 196.91/197.19 (define @t343 () (tptp.tb2t @t331)) % 196.91/197.19 (define @t344 () (@var "BOUND_VARIABLE_8497" tptp.array_int)) % 196.91/197.19 (define @t345 () (@var "BOUND_VARIABLE_8495" tptp.array_int)) % 196.91/197.19 (define @t346 () (@var "BOUND_VARIABLE_8493" Int)) % 196.91/197.19 (define @t347 () (tptp.valid_chunk1 @t58 @t346 @t345 @t344)) % 196.91/197.19 (define @t348 () (not (tptp.valid_chunk1 @t166 @t346 @t345 @t344))) % 196.91/197.19 (define @t349 () (not (tptp.chunk_valid_indexes1 @t345 @t344))) % 196.91/197.19 (define @t350 () (not (tptp.is_index1 @t346))) % 196.91/197.19 (define @t351 () (not @t172)) % 196.91/197.19 (define @t352 () (or @t350 @t349 @t348 @t347)) % 196.91/197.19 (define @t353 () (or @t351 @t352)) % 196.91/197.19 (define @t354 () (forall (@list @t58 @t166 @t346 @t345 @t344) @t353)) % 196.91/197.19 (define @t355 () (@list @t346 @t345 @t344)) % 196.91/197.19 (define @t356 () (forall @t355 @t353)) % 196.91/197.19 (define @t357 () (forall @t355 @t352)) % 196.91/197.19 (define @t358 () (or @t351 @t357)) % 196.91/197.19 (define @t359 () (not @t167)) % 196.91/197.19 (define @t360 () (not @t168)) % 196.91/197.19 (define @t361 () (or @t297 @t360 @t359 @t165)) % 196.91/197.19 (define @t362 () (forall @t170 @t361)) % 196.91/197.19 (define @t363 () (or @t297 @t360 @t359)) % 196.91/197.19 (define @t364 () (@quantifiers_skolemize @t320 2)) % 196.91/197.19 (define @t365 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t364 (tptp.t2tb (@quantifiers_skolemize @t320 3))))) % 196.91/197.19 (define @t366 () (@quantifiers_skolemize @t320 0)) % 196.91/197.19 (define @t367 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t366 (tptp.t2tb (@quantifiers_skolemize @t320 1))))) % 196.91/197.19 (define @t368 () (@quantifiers_skolemize @t320 10)) % 196.91/197.19 (define @t369 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t368 (tptp.t2tb (@quantifiers_skolemize @t320 11))))) % 196.91/197.19 (define @t370 () (@quantifiers_skolemize @t320 8)) % 196.91/197.19 (define @t371 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t370 (tptp.t2tb (@quantifiers_skolemize @t320 9))))) % 196.91/197.19 (define @t372 () (@quantifiers_skolemize @t320 6)) % 196.91/197.19 (define @t373 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t372 (tptp.t2tb (@quantifiers_skolemize @t320 7))))) % 196.91/197.19 (define @t374 () (@quantifiers_skolemize @t320 4)) % 196.91/197.19 (define @t375 () (tptp.tb2t2 (tptp.mk_array1 tptp.int @t374 (tptp.t2tb (@quantifiers_skolemize @t320 5))))) % 196.91/197.19 (define @t376 () (tptp.mk_sudoku_chunks1 @t367 @t365 @t375 @t373 @t371 @t369)) % 196.91/197.19 (define @t377 () (+ -81 @t38)) % 196.91/197.19 (define @t378 () (* -1 81)) % 196.91/197.19 (define @t379 () (+ @t38 @t378)) % 196.91/197.19 (define @t380 () (>= @t379 0)) % 196.91/197.19 (define @t381 () (= 81 81)) % 196.91/197.19 (define @t382 () (not @t381)) % 196.91/197.19 (define @t383 () (>= 81 0)) % 196.91/197.19 (define @t384 () (not @t383)) % 196.91/197.19 (define @t385 () (or @t317 @t315 @t313 @t311 @t309 @t307 @t384 @t305 @t382 @t304 @t303 @t301 @t300 @t299 @t263 @t380 @t259 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t281 @t280 @t279)) % 196.91/197.19 (define @t386 () (+ @t38 (* -1 @t221))) % 196.91/197.19 (define @t387 () (>= @t386 0)) % 196.91/197.19 (define @t388 () (not @t222)) % 196.91/197.19 (define @t389 () (>= @t221 0)) % 196.91/197.19 (define @t390 () (not @t389)) % 196.91/197.19 (define @t391 () (or @t388 @t317 @t315 @t313 @t311 @t309 @t307 @t390 @t305 @t388 @t304 @t303 @t301 @t300 @t299 @t263 @t387 @t259 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t281 @t280 @t279)) % 196.91/197.19 (define @t392 () (@list @t221)) % 196.91/197.19 (define @t393 () (or @t317 @t315 @t313 @t311 @t309 @t307 @t390 @t305 @t388 @t304 @t303 @t301 @t300 @t299 @t263 @t387 @t259 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t281 @t280 @t279)) % 196.91/197.19 (define @t394 () (forall @t392 @t393)) % 196.91/197.19 (define @t395 () (forall @t319 @t394)) % 196.91/197.19 (define @t396 () (forall (@list @t211 @t210 @t208 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t67 @t38 @t276 @t274 @t221) @t393)) % 196.91/197.19 (define @t397 () (@list @t211 @t210 @t208 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t221 @t67 @t38 @t276 @t274)) % 196.91/197.19 (define @t398 () (* -1 @t237)) % 196.91/197.19 (define @t399 () (+ @t398 @t274)) % 196.91/197.19 (define @t400 () (+ @t286 1)) % 196.91/197.19 (define @t401 () (+ @t274 @t398)) % 196.91/197.19 (define @t402 () (>= @t401 1)) % 196.91/197.19 (define @t403 () (not @t402)) % 196.91/197.19 (define @t404 () (or @t289 @t403 @t285 @t284 @t283)) % 196.91/197.19 (define @t405 () (forall @t290 @t404)) % 196.91/197.19 (define @t406 () (not @t405)) % 196.91/197.19 (define @t407 () (or @t317 @t315 @t313 @t311 @t309 @t307 @t390 @t305 @t388 @t304 @t303 @t301 @t300 @t299 @t263 @t387 @t259 @t297 @t296 @t295 @t294 @t293 @t292 @t406 @t281 @t280 @t279)) % 196.91/197.19 (define @t408 () (or @t295 @t294 @t293 @t292 @t406 @t281 @t280 @t279)) % 196.91/197.19 (define @t409 () (or @t317 @t315 @t313 @t311 @t309 @t307 @t390 @t305 @t388 @t304 @t303 @t301 @t300 @t299 @t263 @t387 @t259 @t297 @t296 @t408)) % 196.91/197.19 (define @t410 () (forall @t397 @t409)) % 196.91/197.19 (define @t411 () (@list @t276 @t274)) % 196.91/197.19 (define @t412 () (forall @t411 @t409)) % 196.91/197.19 (define @t413 () (forall @t411 @t408)) % 196.91/197.19 (define @t414 () (or @t317 @t315 @t313 @t311 @t309 @t307 @t390 @t305 @t388 @t304 @t303 @t301 @t300 @t299 @t263 @t387 @t259 @t297 @t296 @t413)) % 196.91/197.19 (define @t415 () (tptp.valid_chunk1 @t225 @t38 @t212 @t209)) % 196.91/197.19 (define @t416 () (not (tptp.valid_values1 @t225))) % 196.91/197.19 (define @t417 () (+ @t191 @t398)) % 196.91/197.19 (define @t418 () (>= @t417 1)) % 196.91/197.19 (define @t419 () (not @t418)) % 196.91/197.19 (define @t420 () (or @t289 @t419 @t285 @t284 @t283)) % 196.91/197.19 (define @t421 () (forall @t290 @t420)) % 196.91/197.19 (define @t422 () (not @t421)) % 196.91/197.19 (define @t423 () (>= @t191 10)) % 196.91/197.19 (define @t424 () (>= @t191 1)) % 196.91/197.19 (define @t425 () (not @t424)) % 196.91/197.19 (define @t426 () (not @t187)) % 196.91/197.19 (define @t427 () (not @t249)) % 196.91/197.19 (define @t428 () (or @t427 @t426 @t425 @t423 @t422 @t214 @t416 @t415)) % 196.91/197.19 (define @t429 () (forall @t254 @t428)) % 196.91/197.19 (define @t430 () (or @t317 @t315 @t313 @t311 @t309 @t307 @t390 @t305 @t388 @t304 @t303 @t301 @t300 @t299 @t263 @t387 @t259 @t297 @t296 @t429)) % 196.91/197.19 (define @t431 () (or @t263 @t303 @t387 @t259 @t390 @t388 @t297 @t296 @t429)) % 196.91/197.19 (define @t432 () (or @t303 @t387 @t259 @t390 @t388 @t297 @t296 @t429)) % 196.91/197.19 (define @t433 () (or @t259 @t390 @t303 @t387 @t388 @t297 @t296 @t429)) % 196.91/197.19 (define @t434 () (or @t390 @t303 @t387 @t388 @t297 @t296 @t429)) % 196.91/197.19 (define @t435 () (not @t387)) % 196.91/197.19 (define @t436 () (not @t435)) % 196.91/197.19 (define @t437 () (or @t303 @t436)) % 196.91/197.19 (define @t438 () (=> @t258 @t434)) % 196.91/197.19 (define @t439 () (and @t302 @t435)) % 196.91/197.19 (define @t440 () (not @t439)) % 196.91/197.19 (define @t441 () (=> @t439 @t438)) % 196.91/197.19 (define @t442 () (not @t301)) % 196.91/197.19 (define @t443 () (not @t442)) % 196.91/197.19 (define @t444 () (or @t317 @t315 @t313 @t311 @t309 @t307 @t390 @t305 @t388 @t304 @t303 @t443 @t300 @t299)) % 196.91/197.19 (define @t445 () (=> @t264 @t441)) % 196.91/197.19 (define @t446 () (and @t316 @t314 @t312 @t310 @t308 @t306 @t389 @t268 @t222 @t267 @t302 @t442 @t266 @t188)) % 196.91/197.19 (define @t447 () (or @t390 @t303 @t387 @t388 @t297 @t296 @t428)) % 196.91/197.19 (define @t448 () (or @t425 @t423 @t427 @t426 @t422 @t390 @t303 @t387 @t388 @t297 @t296 @t214 @t416 @t415)) % 196.91/197.19 (define @t449 () (or @t427 @t426 @t422 @t390 @t303 @t387 @t388 @t297 @t296 @t214 @t416 @t415)) % 196.91/197.19 (define @t450 () (or @t390 @t303 @t387 @t388 @t297 @t296 @t214 @t416 @t415)) % 196.91/197.19 (define @t451 () (or @t427 @t426 @t422)) % 196.91/197.19 (define @t452 () (or @t390 @t388 @t297 @t296 @t214 @t416 @t415)) % 196.91/197.19 (define @t453 () (or @t390 @t303 @t436)) % 196.91/197.19 (define @t454 () (and @t389 @t302 @t435)) % 196.91/197.19 (define @t455 () (=> @t454 @t452)) % 196.91/197.19 (define @t456 () (and @t249 @t187 @t421)) % 196.91/197.19 (define @t457 () (not @t423)) % 196.91/197.19 (define @t458 () (=> @t456 @t455)) % 196.91/197.19 (define @t459 () (and @t424 @t457)) % 196.91/197.19 (define @t460 () (or @t416 @t415)) % 196.91/197.19 (define @t461 () (not (= @t225 @t225))) % 196.91/197.19 (define @t462 () (or @t461 @t416 @t415)) % 196.91/197.19 (define @t463 () (not @t220)) % 196.91/197.19 (define @t464 () (not @t226)) % 196.91/197.19 (define @t465 () (or @t464 @t464 @t463 @t216)) % 196.91/197.19 (define @t466 () (or @t464 @t463 @t216)) % 196.91/197.19 (define @t467 () (forall @t230 @t466)) % 196.91/197.19 (define @t468 () (or @t390 @t388 @t297 @t296 @t214 @t467)) % 196.91/197.19 (define @t469 () (or @t390 @t388 @t297 @t296 @t214 @t466)) % 196.91/197.19 (define @t470 () (or @t390 @t464 @t388 @t463 @t297 @t296 @t216 @t214)) % 196.91/197.19 (define @t471 () (or @t388 @t463 @t297 @t296 @t216 @t214)) % 196.91/197.19 (define @t472 () (or @t388 @t463 @t297 @t296)) % 196.91/197.19 (define @t473 () (and @t389 @t226)) % 196.91/197.19 (define @t474 () (>= @t38 @t221)) % 196.91/197.19 (define @t475 () (or @t285 @t284 @t283)) % 196.91/197.19 (define @t476 () (or @t289 @t419 @t475)) % 196.91/197.19 (define @t477 () (forall @t290 @t476)) % 196.91/197.19 (define @t478 () (@list @t282)) % 196.91/197.19 (define @t479 () (forall @t478 @t476)) % 196.91/197.19 (define @t480 () (forall @t478 @t475)) % 196.91/197.19 (define @t481 () (or @t289 @t419 @t480)) % 196.91/197.19 (define @t482 () (not @t236)) % 196.91/197.19 (define @t483 () (not @t240)) % 196.91/197.19 (define @t484 () (or @t483 @t482 @t235)) % 196.91/197.19 (define @t485 () (forall @t242 @t484)) % 196.91/197.19 (define @t486 () (or @t289 @t419 @t485)) % 196.91/197.19 (define @t487 () (and @t288 @t418)) % 196.91/197.19 (define @t488 () (+ @t417 1)) % 196.91/197.19 (define @t489 () (>= @t237 @t191)) % 196.91/197.19 (define @t490 () (>= @t191 @t340)) % 196.91/197.19 (define @t491 () (+ 81 1)) % 196.91/197.19 (define @t492 () (>= @t38 @t491)) % 196.91/197.19 (define @t493 () (tptp.valid1 @t376 @t342)) % 196.91/197.19 (define @t494 () (tptp.valid_chunk1 @t343 @t321 @t367 @t365)) % 196.91/197.19 (define @t495 () (not @t493)) % 196.91/197.19 (define @t496 () (tptp.tb2t @t325)) % 196.91/197.19 (define @t497 () (tptp.grid_eq_sub1 @t328 @t496 0 81)) % 196.91/197.19 (define @t498 () (not @t497)) % 196.91/197.19 (define @t499 () (tptp.chunk_valid_indexes1 @t367 @t365)) % 196.91/197.19 (define @t500 () (not @t499)) % 196.91/197.19 (define @t501 () (tptp.is_index1 @t321)) % 196.91/197.19 (define @t502 () (not @t501)) % 196.91/197.19 (define @t503 () (or (not (>= @t366 0)) (not (>= @t364 0)) (not (>= @t374 0)) (not (>= @t372 0)) (not (>= @t370 0)) (not (>= @t368 0)) (not (tptp.well_formed_sudoku1 @t376)) (not (tptp.valid_values1 @t328)) (not (>= @t321 0)) (>= @t321 82) (not (tptp.valid_up_to1 @t376 @t328 @t321)) (not (tptp.full_up_to1 @t328 @t321)) (= @t321 81) (>= @t321 81) (not (= (tptp.tb2t1 (tptp.get tptp.int tptp.int @t329 @t322)) 0)) @t502 @t500 @t498 (not (tptp.full_up_to1 @t323 @t321)) (not (>= @t326 1)) (>= @t326 10) (not (forall @t290 (or @t289 (>= (+ @t237 (* -1 @t326)) 0) (not (tptp.included1 (tptp.tb2t (tptp.set tptp.int tptp.int @t329 @t322 @t238)) @t282)) @t284 (not (tptp.valid1 @t376 @t282))))) @t495 (not (tptp.valid_values1 @t343)) @t494)) % 196.91/197.19 (define @t504 () (@list true)) % 196.91/197.19 (define @t505 () (@list @t503)) % 196.91/197.19 (define @t506 () (forall @t43 (or @t297 (and (tptp.valid_column1 @t376 @t342 @t38) (tptp.valid_row1 @t376 @t342 @t38) (tptp.valid_square1 @t376 @t342 @t38))))) % 196.91/197.19 (define @t507 () (= @t493 @t506)) % 196.91/197.19 (define @t508 () (@list false false)) % 196.91/197.19 (define @t509 () (@list @t321)) % 196.91/197.19 (define @t510 () (tptp.valid_column1 @t376 @t342 @t321)) % 196.91/197.19 (define @t511 () (and @t510 (tptp.valid_row1 @t376 @t342 @t321) (tptp.valid_square1 @t376 @t342 @t321))) % 196.91/197.19 (define @t512 () (or @t502 @t511)) % 196.91/197.19 (define @t513 () (@list false)) % 196.91/197.19 (define @t514 () (tptp.valid_chunk1 @t342 @t321 (tptp.column_start1 @t376) (tptp.column_offsets1 @t376))) % 196.91/197.19 (define @t515 () (= @t510 @t514)) % 196.91/197.19 (define @t516 () (@list @t367 @t365 @t375 @t373 @t371 @t369)) % 196.91/197.19 (define @t517 () (tptp.valid_chunk1 @t342 @t321 @t367 @t365)) % 196.91/197.19 (define @t518 () (not @t517)) % 196.91/197.19 (define @t519 () (tptp.included1 @t343 @t342)) % 196.91/197.19 (define @t520 () (not @t519)) % 196.91/197.19 (define @t521 () (or @t520 @t502 @t500 @t518 @t494)) % 196.91/197.19 (define @t522 () (tptp.t2tb @t342)) % 196.91/197.19 (define @t523 () (tptp.t2tb @t343)) % 196.91/197.19 (define @t524 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t523 @t52))) % 196.91/197.19 (define @t525 () (forall @t43 (or @t297 (not (>= @t524 1)) (>= @t524 10) (= @t524 (tptp.tb2t1 (tptp.get tptp.int tptp.int @t522 @t52)))))) % 196.91/197.19 (define @t526 () (= @t519 @t525)) % 196.91/197.19 (define @t527 () (not @t525)) % 196.91/197.19 (define @t528 () (@quantifiers_skolemize @t525 0)) % 196.91/197.19 (define @t529 () (tptp.t2tb1 @t528)) % 196.91/197.19 (define @t530 () (tptp.get tptp.int tptp.int @t522 @t529)) % 196.91/197.19 (define @t531 () (tptp.tb2t1 @t530)) % 196.91/197.19 (define @t532 () (tptp.get tptp.int tptp.int @t523 @t529)) % 196.91/197.19 (define @t533 () (tptp.tb2t1 @t532)) % 196.91/197.19 (define @t534 () (= @t533 @t531)) % 196.91/197.19 (define @t535 () (tptp.is_index1 @t528)) % 196.91/197.19 (define @t536 () (not @t535)) % 196.91/197.19 (define @t537 () (or @t536 (not (>= @t533 1)) (>= @t533 10) @t534)) % 196.91/197.19 (define @t538 () (not @t534)) % 196.91/197.19 (define @t539 () (@list @t537)) % 196.91/197.19 (define @t540 () (* -1 @t63)) % 196.91/197.19 (define @t541 () (+ @t70 @t540)) % 196.91/197.19 (define @t542 () (>= @t541 1)) % 196.91/197.19 (define @t543 () (not @t542)) % 196.91/197.19 (define @t544 () (+ @t71 @t540)) % 196.91/197.19 (define @t545 () (>= @t544 1)) % 196.91/197.19 (define @t546 () (or @t545 @t543 @t69)) % 196.91/197.19 (define @t547 () (not @t545)) % 196.91/197.19 (define @t548 () (and @t547 @t542)) % 196.91/197.19 (define @t549 () (+ @t541 1)) % 196.91/197.19 (define @t550 () (>= @t63 @t70)) % 196.91/197.19 (define @t551 () (+ @t63 1)) % 196.91/197.19 (define @t552 () (>= @t71 @t551)) % 196.91/197.19 (define @t553 () (tptp.t2tb @t496)) % 196.91/197.19 (define @t554 () (= (tptp.tb2t1 (tptp.get tptp.int tptp.int @t329 @t64)) (tptp.tb2t1 (tptp.get tptp.int tptp.int @t553 @t64)))) % 196.91/197.19 (define @t555 () (>= @t63 81)) % 196.91/197.19 (define @t556 () (+ 81 @t540)) % 196.91/197.19 (define @t557 () (>= @t556 1)) % 196.91/197.19 (define @t558 () (not @t557)) % 196.91/197.19 (define @t559 () (+ 0 @t540)) % 196.91/197.19 (define @t560 () (>= @t559 1)) % 196.91/197.19 (define @t561 () (or @t560 @t558 @t554)) % 196.91/197.19 (define @t562 () (forall @t74 @t561)) % 196.91/197.19 (define @t563 () (= @t497 @t562)) % 196.91/197.19 (define @t564 () (forall @t78 (= @t76 (forall @t74 @t546)))) % 196.91/197.19 (define @t565 () (forall @t74 (or (not (>= @t63 0)) @t555 @t554))) % 196.91/197.19 (define @t566 () (= @t497 @t565)) % 196.91/197.19 (define @t567 () (@list @t528)) % 196.91/197.19 (define @t568 () (>= @t528 81)) % 196.91/197.19 (define @t569 () (not @t568)) % 196.91/197.19 (define @t570 () (>= @t528 0)) % 196.91/197.19 (define @t571 () (and @t570 @t569)) % 196.91/197.19 (define @t572 () (= @t535 @t571)) % 196.91/197.19 (define @t573 () (not @t571)) % 196.91/197.19 (define @t574 () (@list @t571)) % 196.91/197.19 (define @t575 () (tptp.get tptp.int tptp.int @t553 @t529)) % 196.91/197.19 (define @t576 () (tptp.tb2t1 @t575)) % 196.91/197.19 (define @t577 () (tptp.get tptp.int tptp.int @t329 @t529)) % 196.91/197.19 (define @t578 () (tptp.tb2t1 @t577)) % 196.91/197.19 (define @t579 () (= @t578 @t576)) % 196.91/197.19 (define @t580 () (not @t570)) % 196.91/197.19 (define @t581 () (or @t580 @t568 @t579)) % 196.91/197.19 (define @t582 () (@var "BOUND_VARIABLE_8237" tptp.uni)) % 196.91/197.19 (define @t583 () (tptp.get @t14 @t1 (tptp.set @t14 @t1 @t19 @t18 @t582) @t17)) % 196.91/197.19 (define @t584 () (not @t32)) % 196.91/197.19 (define @t585 () (not @t34)) % 196.91/197.19 (define @t586 () (= @t583 @t27)) % 196.91/197.19 (define @t587 () (or @t585 @t584 @t21 @t586)) % 196.91/197.19 (define @t588 () (forall (@list @t1 @t14 @t19 @t18 @t17 @t582) @t587)) % 196.91/197.19 (define @t589 () (@list @t582)) % 196.91/197.19 (define @t590 () (forall @t589 @t587)) % 196.91/197.19 (define @t591 () (forall @t589 @t586)) % 196.91/197.19 (define @t592 () (or @t585 @t584 @t21 @t591)) % 196.91/197.19 (define @t593 () (forall @t30 @t28)) % 196.91/197.19 (define @t594 () (or @t585 @t584 @t21 @t593)) % 196.91/197.19 (define @t595 () (or @t584 @t21 @t593)) % 196.91/197.19 (define @t596 () (or @t21 @t593)) % 196.91/197.19 (define @t597 () (=> @t32 @t596)) % 196.91/197.19 (define @t598 () (@list @t326)) % 196.91/197.19 (define @t599 () (= @t16 (tptp.get @t14 @t1 (tptp.set @t14 @t1 @t19 @t17 @t16) @t17))) % 196.91/197.19 (define @t600 () (not @t23)) % 196.91/197.19 (define @t601 () (not (= @t17 @t17))) % 196.91/197.19 (define @t602 () (or @t600 @t601 @t599)) % 196.91/197.19 (define @t603 () (@list @t1 @t14 @t19 @t17 @t16)) % 196.91/197.19 (define @t604 () (= @t16 @t20)) % 196.91/197.19 (define @t605 () (or @t29 @t600 @t29 @t604)) % 196.91/197.19 (define @t606 () (@list @t18)) % 196.91/197.19 (define @t607 () (or @t600 @t29 @t604)) % 196.91/197.19 (define @t608 () (forall @t606 @t607)) % 196.91/197.19 (define @t609 () (forall @t603 @t608)) % 196.91/197.19 (define @t610 () (forall (@list @t1 @t14 @t19 @t17 @t16 @t18) @t607)) % 196.91/197.19 (define @t611 () (=> @t21 @t604)) % 196.91/197.19 (define @t612 () (tptp.get tptp.int tptp.int @t331 @t322)) % 196.91/197.19 (define @t613 () (= @t327 @t612)) % 196.91/197.19 (define @t614 () (tptp.sort1 tptp.int @t327)) % 196.91/197.19 (define @t615 () (not @t614)) % 196.91/197.19 (define @t616 () (or @t615 @t613)) % 196.91/197.19 (define @t617 () (tptp.get tptp.int tptp.int @t330 @t322)) % 196.91/197.19 (define @t618 () (= @t327 @t617)) % 196.91/197.19 (define @t619 () (or @t615 @t618)) % 196.91/197.19 (define @t620 () (= @t322 @t529)) % 196.91/197.19 (define @t621 () (not @t620)) % 196.91/197.19 (define @t622 () (tptp.tb2t1 @t327)) % 196.91/197.19 (define @t623 () (= @t326 @t622)) % 196.91/197.19 (define @t624 () (not @t623)) % 196.91/197.19 (define @t625 () (= @t331 @t523)) % 196.91/197.19 (define @t626 () (not @t625)) % 196.91/197.19 (define @t627 () (= @t330 @t522)) % 196.91/197.19 (define @t628 () (not @t627)) % 196.91/197.19 (define @t629 () (not @t613)) % 196.91/197.19 (define @t630 () (not @t618)) % 196.91/197.19 (define @t631 () (not @t538)) % 196.91/197.19 (define @t632 () (= @t326 @t533)) % 196.91/197.19 (define @t633 () (= @t326 @t531)) % 196.91/197.19 (define @t634 () (= false true)) % 196.91/197.19 (define @t635 () (tptp.get tptp.int tptp.int @t330 @t529)) % 196.91/197.19 (define @t636 () (tptp.get tptp.int tptp.int @t331 @t529)) % 196.91/197.19 (define @t637 () (and @t623 @t632 @t633 @t538)) % 196.91/197.19 (define @t638 () (tptp.get tptp.int tptp.int @t324 @t529)) % 196.91/197.19 (define @t639 () (= @t638 @t636)) % 196.91/197.19 (define @t640 () (tptp.sort1 tptp.int @t529)) % 196.91/197.19 (define @t641 () (not @t640)) % 196.91/197.19 (define @t642 () (tptp.sort1 tptp.int @t322)) % 196.91/197.19 (define @t643 () (not @t642)) % 196.91/197.19 (define @t644 () (or @t643 @t641 @t620 @t639)) % 196.91/197.19 (define @t645 () (@list false false true false)) % 196.91/197.19 (define @t646 () (= @t577 @t635)) % 196.91/197.19 (define @t647 () (or @t643 @t641 @t620 @t646)) % 196.91/197.19 (define @t648 () (tptp.get tptp.int tptp.int @t325 @t529)) % 196.91/197.19 (define @t649 () (= @t638 @t648)) % 196.91/197.19 (define @t650 () (or @t643 @t641 @t620 @t649)) % 196.91/197.19 (define @t651 () (not @t649)) % 196.91/197.19 (define @t652 () (tptp.t2tb1 @t576)) % 196.91/197.19 (define @t653 () (= @t575 @t652)) % 196.91/197.19 (define @t654 () (not @t653)) % 196.91/197.19 (define @t655 () (not @t579)) % 196.91/197.19 (define @t656 () (not @t646)) % 196.91/197.19 (define @t657 () (not @t639)) % 196.91/197.19 (define @t658 () (= @t530 (tptp.t2tb1 @t531))) % 196.91/197.19 (define @t659 () (not @t658)) % 196.91/197.19 (define @t660 () (= @t325 @t553)) % 196.91/197.19 (define @t661 () (not @t660)) % 196.91/197.19 (define @t662 () (= @t533 @t578)) % 196.91/197.19 (define @t663 () (= @t531 @t578)) % 196.91/197.19 (define @t664 () (and @t579 @t662 @t663 @t538)) % 196.91/197.19 (assume @p1 (forall (@list @t1) (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 196.91/197.19 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t4 @t3 @t2)))) % 196.91/197.19 (assume @p3 (forall @t7 (=> (tptp.sort1 @t1 @t5) (= (tptp.match_bool1 @t1 tptp.true1 @t5 @t6) @t5)))) % 196.91/197.19 (assume @p4 (forall @t7 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.false1 @t5 @t6) @t6)))) % 196.91/197.19 (assume @p5 (not (= tptp.true1 tptp.false1))) % 196.91/197.19 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true1) (= @t8 tptp.false1)))) % 196.91/197.19 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple03))) % 196.91/197.19 (assume @p8 (forall (@list @t12 @t11 @t10) (=> (<= @t12 @t11) (=> (<= 0 @t10) (<= (* @t12 @t10) (* @t11 @t10)))))) % 196.91/197.19 (assume @p9 (forall (@list @t1 @t14 @t13 @t3) (tptp.sort1 @t14 (tptp.get @t14 @t1 @t13 @t3)))) % 196.91/197.19 (assume @p10 (forall (@list @t1 @t14 @t13 @t3 @t2) (tptp.sort1 @t15 (tptp.set @t14 @t1 @t13 @t3 @t2)))) % 196.91/197.19 (assume @p11 @t26) % 196.91/197.19 (assume @p12 @t37) % 196.91/197.19 (assume @p13 (forall (@list @t1 @t14 @t13) (tptp.sort1 @t15 (tptp.const @t14 @t1 @t13)))) % 196.91/197.19 (assume @p14 (forall (@list @t1 @t14 @t16 @t18) (=> @t23 (= (tptp.get @t14 @t1 (tptp.const @t14 @t1 @t16) @t18) @t16)))) % 196.91/197.19 (assume @p15 @t44) % 196.91/197.19 (assume @p16 (forall (@list @t45) (tptp.sort1 (tptp.map tptp.int tptp.int) (tptp.t2tb @t45)))) % 196.91/197.19 (assume @p17 (forall (@list @t46) (= (tptp.tb2t (tptp.t2tb @t46)) @t46))) % 196.91/197.19 (assume @p18 @t50) % 196.91/197.19 (assume @p19 (forall (@list @t12) (tptp.sort1 tptp.int @t51))) % 196.91/197.19 (assume @p20 @t55) % 196.91/197.19 (assume @p21 @t57) % 196.91/197.19 (assume @p22 (forall @t62 (= (tptp.valid_values1 @t58) (forall @t43 (=> @t41 (and (<= 0 @t60) @t61)))))) % 196.91/197.19 (assume @p23 @t79) % 196.91/197.19 (assume @p24 (forall @t78 (=> (and (<= 0 @t71) (<= @t71 81) (<= 0 @t70) (<= @t70 81) @t80) @t76))) % 196.91/197.19 (assume @p25 (forall @t82 (tptp.sort1 @t81 (tptp.mk_array1 @t1 @t12 @t3)))) % 196.91/197.19 (assume @p26 (forall @t86 (= (tptp.length1 @t1 @t85) @t83))) % 196.91/197.19 (assume @p27 (forall (@list @t1 @t13) (tptp.sort1 @t87 (tptp.elts @t1 @t13)))) % 196.91/197.19 (assume @p28 (forall @t86 (=> (tptp.sort1 @t87 @t84) (= (tptp.elts @t1 @t85) @t84)))) % 196.91/197.19 (assume @p29 (forall (@list @t1 @t88) (= @t88 (tptp.mk_array1 @t1 (tptp.length1 @t1 @t88) (tptp.elts @t1 @t88))))) % 196.91/197.19 (assume @p30 (forall (@list @t1 @t13 @t89) (tptp.sort1 @t1 (tptp.get2 @t1 @t13 @t89)))) % 196.91/197.19 (assume @p31 (forall (@list @t1 @t18 @t38) (= (tptp.get2 @t1 @t18 @t38) (tptp.get @t1 tptp.int @t90 @t52)))) % 196.91/197.19 (assume @p32 (forall (@list @t1 @t13 @t89 @t2) (tptp.sort1 @t81 (tptp.set2 @t1 @t13 @t89 @t2)))) % 196.91/197.19 (assume @p33 (forall (@list @t1 @t18 @t38 @t91) (= (tptp.set2 @t1 @t18 @t38 @t91) (tptp.mk_array1 @t1 (tptp.length1 @t1 @t18) (tptp.set @t1 tptp.int @t90 @t52 @t91))))) % 196.91/197.19 (assume @p34 (forall @t82 (tptp.sort1 @t81 (tptp.make1 @t1 @t12 @t3)))) % 196.91/197.19 (assume @p35 (forall (@list @t1 @t92 @t91) (= (tptp.make1 @t1 @t92 @t91) (tptp.mk_array1 @t1 @t92 (tptp.const @t1 tptp.int @t91))))) % 196.91/197.19 (assume @p36 @t102) % 196.91/197.19 (assume @p37 @t104) % 196.91/197.19 (assume @p38 (forall @t101 (= (tptp.row_start1 @t99) @t97))) % 196.91/197.19 (assume @p39 (forall @t101 (= (tptp.row_offsets1 @t99) @t96))) % 196.91/197.19 (assume @p40 (forall @t101 (= (tptp.square_start1 @t99) @t95))) % 196.91/197.19 (assume @p41 (forall @t101 (= (tptp.square_offsets1 @t99) @t94))) % 196.91/197.19 (assume @p42 (forall (@list @t105) (= @t105 (tptp.mk_sudoku_chunks1 (tptp.column_start1 @t105) (tptp.column_offsets1 @t105) (tptp.row_start1 @t105) (tptp.row_offsets1 @t105) (tptp.square_start1 @t105) (tptp.square_offsets1 @t105))))) % 196.91/197.19 (assume @p43 (forall (@list @t106) (tptp.sort1 (tptp.array tptp.int) (tptp.t2tb2 @t106)))) % 196.91/197.19 (assume @p44 (forall (@list @t107) (= (tptp.tb2t2 (tptp.t2tb2 @t107)) @t107))) % 196.91/197.19 (assume @p45 (forall @t49 (= (tptp.t2tb2 (tptp.tb2t2 @t47)) @t47))) % 196.91/197.19 (assume @p46 (forall @t119 (= (tptp.chunk_valid_indexes1 @t112 @t109) (and @t118 @t117 (forall (@list @t38 @t108) (=> (and @t41 @t116 @t115) (tptp.is_index1 (+ @t114 @t111)))))))) % 196.91/197.19 (assume @p47 (forall @t119 (= @t127 (and @t118 @t117 (forall (@list @t122 @t120 @t108) (=> (and @t126 @t125 @t116 @t115) (=> @t124 (not (= @t122 (+ @t121 @t111)))))))))) % 196.91/197.19 (assume @p48 (forall (@list @t128) (= @t135 (and (tptp.chunk_valid_indexes1 @t134 @t133) (tptp.chunk_valid_indexes1 @t132 @t131) (tptp.chunk_valid_indexes1 @t130 @t129) (tptp.disjoint_chunks1 @t134 @t133) (tptp.disjoint_chunks1 @t132 @t131) (tptp.disjoint_chunks1 @t130 @t129))))) % 196.91/197.19 (assume @p49 (forall (@list @t58 @t38 @t112 @t109) (= (tptp.valid_chunk1 @t58 @t38 @t112 @t109) (forall @t144 (=> (and @t143 (< @t138 9) @t142 (< @t136 9) @t141) @t140))))) % 196.91/197.19 (assume @p50 (forall @t146 (= @t145 (tptp.valid_chunk1 @t58 @t38 @t134 @t133)))) % 196.91/197.19 (assume @p51 (forall @t146 (= @t147 (tptp.valid_chunk1 @t58 @t38 @t132 @t131)))) % 196.91/197.19 (assume @p52 (forall @t146 (= @t148 (tptp.valid_chunk1 @t58 @t38 @t130 @t129)))) % 196.91/197.19 (assume @p53 @t153) % 196.91/197.19 (assume @p54 (forall @t62 (= (tptp.full1 @t58) (forall @t43 (=> @t41 (and (<= 1 @t60) @t61)))))) % 196.91/197.19 (assume @p55 @t162) % 196.91/197.19 (assume @p56 @t175) % 196.91/197.19 (assume @p57 (forall (@list @t128 @t58 @t166) (=> (and @t135 @t172 (tptp.valid1 @t128 @t166)) @t151))) % 196.91/197.19 (assume @p58 (forall (@list @t128 @t176 @t177) (= (tptp.is_solution_for1 @t128 @t176 @t177) (and (tptp.included1 @t177 @t176) (tptp.full1 @t176) (tptp.valid1 @t128 @t176))))) % 196.91/197.19 (assume @p59 (forall (@list @t58 @t38 @t112 @t109 @t178) (= (tptp.valid_chunk_up_to1 @t58 @t38 @t112 @t109 @t178) (forall @t144 (=> (and @t143 (< @t138 @t178) @t142 (< @t136 @t178) @t141) @t140))))) % 196.91/197.19 (assume @p60 (forall @t146 (= @t180 (forall @t74 (=> @t179 (and (tptp.valid_column1 @t128 @t58 @t63) (tptp.valid_row1 @t128 @t58 @t63) (tptp.valid_square1 @t128 @t58 @t63))))))) % 196.91/197.19 (assume @p61 (forall (@list @t58 @t38) (= @t182 (forall @t74 (=> @t179 (and (<= 1 @t181) (<= @t181 9))))))) % 196.91/197.19 (assume @p62 (forall (@list @t58 @t38 @t12) (=> (and @t41 @t182) (=> (and @t186 @t185) (tptp.full_up_to1 @t184 @t183))))) % 196.91/197.19 (assume @p63 (forall @t190 (=> (and @t39 @t189 (tptp.grid_eq_sub1 @t67 @t65 0 @t38) @t188) @t187))) % 196.91/197.19 (assume @p64 (forall @t190 (=> (and @t39 @t189 @t80 @t188) @t187))) % 196.91/197.19 (assume @p65 (forall @t198 (=> @t127 (=> @t197 (=> (and @t124 (tptp.valid_chunk1 @t58 @t120 @t112 @t109)) @t194))))) % 196.91/197.19 (assume @p66 (forall @t198 (=> @t197 (=> (and @t123 (tptp.valid_chunk1 @t193 @t122 @t112 @t109)) @t194)))) % 196.91/197.19 (assume @p67 (forall (@list @t128 @t58 @t38 @t12) (=> (and @t135 @t41 @t180 @t186 @t185 (tptp.valid_column1 @t128 @t184 @t38) (tptp.valid_row1 @t128 @t184 @t38) (tptp.valid_square1 @t128 @t184 @t38)) (tptp.valid_up_to1 @t128 @t184 @t183)))) % 196.91/197.19 (assume @p68 @t273) % 196.91/197.19 (assume @p69 true) % 196.91/197.19 (step @p70 :rule eq-symm :args (@t48 @t47)) % 196.91/197.19 (step @p71 :rule cong :premises (@p70) :args (@t50)) % 196.91/197.19 (step @p72 :rule eq_resolve :premises (@p18 @p71)) % 196.91/197.19 (step @p73 :rule instantiate :premises (@p72) :args ((@list @t325))) % 196.91/197.19 (step @p74 :rule instantiate :premises (@p72) :args ((@list @t330))) % 196.91/197.19 (step @p75 :rule instantiate :premises (@p72) :args ((@list @t331))) % 196.91/197.19 (step @p76 :rule aci_norm :args ((= (or (or @t297 @t335 @t333) @t332) (or @t297 @t335 @t333 @t332)))) % 196.91/197.19 (step @p77 :rule refl :args (@t332)) % 196.91/197.19 (step @p78 :rule bool-double-not-elim :args (@t333)) % 196.91/197.19 (step @p79 :rule refl :args (@t335)) % 196.91/197.19 (step @p80 :rule refl :args (@t297)) % 196.91/197.19 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args (@t338)) % 196.91/197.19 (step @p82 :rule aci_norm :args ((= (or @t297 (or @t335 @t337)) @t338))) % 196.91/197.19 (step @p83 :rule trans :premises (@p82 @p81)) % 196.91/197.19 (step @p84 :rule bool-and-de-morgan :args (@t334 @t336 true)) % 196.91/197.19 (step @p85 :rule nary_cong :premises (@p80 @p84) :args ((or @t297 (not (and @t334 @t336))))) % 196.91/197.19 (step @p86 :rule bool-and-de-morgan :args (@t41 @t334 (and @t336))) % 196.91/197.19 (step @p87 :rule trans :premises (@p86 @p85)) % 196.91/197.19 (step @p88 :rule trans :premises (@p87 @p83)) % 196.91/197.19 (step @p89 :rule nary_cong :premises (@p88 @p77) :args ((or (not @t339) @t332))) % 196.91/197.19 (step @p90 :rule trans :premises (@p89 @p76)) % 196.91/197.19 (step @p91 :rule bool-impl-elim :args (@t339 @t332)) % 196.91/197.19 (step @p92 :rule trans :premises (@p91 @p90)) % 196.91/197.19 (step @p93 :rule cong :premises (@p92) :args ((forall @t43 (=> @t339 @t332)))) % 196.91/197.19 (step @p94 :rule arith_poly_norm :args ((= (* 1 (- @t155 @t154)) (* -1 (- @t154 @t155))))) % 196.91/197.19 (step @p95 :rule arith_poly_norm_rel :premises (@p94) :args ((= @t156 @t332))) % 196.91/197.19 (step @p96 :rule evaluate :args (@t340)) % 196.91/197.19 (step @p97 :rule refl :args (@t154)) % 196.91/197.19 (step @p98 :rule cong :premises (@p97 @p96) :args (@t341)) % 196.91/197.19 (step @p99 :rule cong :premises (@p98) :args ((not @t341))) % 196.91/197.19 (step @p100 :rule arith-leq-norm :args (@t154 9)) % 196.91/197.19 (step @p101 :rule trans :premises (@p100 @p99)) % 196.91/197.19 (step @p102 :rule arith-elim-leq :args (1 @t154)) % 196.91/197.19 (step @p103 :rule refl :args (@t41)) % 196.91/197.19 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t157)) % 196.91/197.19 (step @p105 :rule cong :premises (@p104 @p95) :args (@t158)) % 196.91/197.19 (step @p106 :rule cong :premises (@p105) :args (@t159)) % 196.91/197.19 (step @p107 :rule trans :premises (@p106 @p93)) % 196.91/197.19 (step @p108 :rule refl :args (@t160)) % 196.91/197.19 (step @p109 :rule cong :premises (@p108 @p107) :args (@t161)) % 196.91/197.19 (step @p110 :rule cong :premises (@p109) :args (@t162)) % 196.91/197.19 (step @p111 :rule eq_resolve :premises (@p55 @p110)) % 196.91/197.19 (step @p112 :rule instantiate :premises (@p111) :args ((@list @t343 @t342))) % 196.91/197.19 (step @p113 :rule aci_norm :args ((= @t353 (or @t351 @t350 @t349 @t348 @t347)))) % 196.91/197.19 (step @p114 :rule cong :premises (@p113) :args (@t354)) % 196.91/197.19 (step @p115 :rule quant-merge-prenex :args ((= (forall @t174 @t356) @t354))) % 196.91/197.19 (step @p116 :rule alpha_equiv :args (@t357 (@list @t346 @t345 @t344) (@list @t38 @t164 @t163))) % 196.91/197.19 (step @p117 :rule refl :args (@t351)) % 196.91/197.19 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t358)) % 196.91/197.19 (step @p119 :rule quant-miniscope-or :args ((= @t356 @t358))) % 196.91/197.19 (step @p120 :rule trans :premises (@p119 @p118)) % 196.91/197.19 (step @p121 :rule symm :premises (@p120)) % 196.91/197.19 (step @p122 :rule cong :premises (@p121) :args ((forall @t174 (or @t351 @t362)))) % 196.91/197.19 (step @p123 :rule trans :premises (@p122 @p115)) % 196.91/197.19 (step @p124 :rule trans :premises (@p123 @p114)) % 196.91/197.19 (step @p125 :rule bool-impl-elim :args (@t172 @t362)) % 196.91/197.19 (step @p126 :rule cong :premises (@p125) :args ((forall @t174 (=> @t172 @t362)))) % 196.91/197.19 (step @p127 :rule trans :premises (@p126 @p124)) % 196.91/197.19 (step @p128 :rule aci_norm :args ((= (or @t363 @t165) @t361))) % 196.91/197.19 (step @p129 :rule refl :args (@t165)) % 196.91/197.19 (step @p130 :rule aci_norm :args ((= (or @t297 (or @t360 @t359)) @t363))) % 196.91/197.19 (step @p131 :rule bool-and-de-morgan :args (@t168 @t167 true)) % 196.91/197.19 (step @p132 :rule nary_cong :premises (@p80 @p131) :args ((or @t297 (not (and @t168 @t167))))) % 196.91/197.19 (step @p133 :rule bool-and-de-morgan :args (@t41 @t168 (and @t167))) % 196.91/197.19 (step @p134 :rule trans :premises (@p133 @p132)) % 196.91/197.19 (step @p135 :rule trans :premises (@p134 @p130)) % 196.91/197.19 (step @p136 :rule nary_cong :premises (@p135 @p129) :args ((or (not @t169) @t165))) % 196.91/197.19 (step @p137 :rule trans :premises (@p136 @p128)) % 196.91/197.19 (step @p138 :rule bool-impl-elim :args (@t169 @t165)) % 196.91/197.19 (step @p139 :rule trans :premises (@p138 @p137)) % 196.91/197.19 (step @p140 :rule cong :premises (@p139) :args (@t171)) % 196.91/197.19 (step @p141 :rule refl :args (@t172)) % 196.91/197.19 (step @p142 :rule cong :premises (@p141 @p140) :args (@t173)) % 196.91/197.19 (step @p143 :rule cong :premises (@p142) :args (@t175)) % 196.91/197.19 (step @p144 :rule trans :premises (@p143 @p127)) % 196.91/197.19 (step @p145 :rule eq_resolve :premises (@p56 @p144)) % 196.91/197.19 (step @p146 :rule instantiate :premises (@p145) :args ((@list @t343 @t342 @t321 @t367 @t365))) % 196.91/197.19 (step @p147 :rule instantiate :premises (@p50) :args ((@list @t376 @t342 @t321))) % 196.91/197.19 (step @p148 :rule bool-impl-elim :args (@t41 @t149)) % 196.91/197.19 (step @p149 :rule cong :premises (@p148) :args (@t150)) % 196.91/197.19 (step @p150 :rule refl :args (@t151)) % 196.91/197.19 (step @p151 :rule cong :premises (@p150 @p149) :args (@t152)) % 196.91/197.19 (step @p152 :rule cong :premises (@p151) :args (@t153)) % 196.91/197.19 (step @p153 :rule eq_resolve :premises (@p53 @p152)) % 196.91/197.19 (step @p154 :rule instantiate :premises (@p153) :args ((@list @t376 @t342))) % 196.91/197.19 (step @p155 :rule aci_norm :args ((= (or @t317 @t315 @t313 @t311 @t309 @t307 false @t305 false @t304 @t303 @t301 @t300 @t299 @t263 @t298 @t259 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t281 @t280 @t279) @t318))) % 196.91/197.19 (step @p156 :rule refl :args (@t279)) % 196.91/197.19 (step @p157 :rule refl :args (@t280)) % 196.91/197.19 (step @p158 :rule refl :args (@t281)) % 196.91/197.19 (step @p159 :rule refl :args (@t291)) % 196.91/197.19 (step @p160 :rule refl :args (@t292)) % 196.91/197.19 (step @p161 :rule refl :args (@t293)) % 196.91/197.19 (step @p162 :rule refl :args (@t294)) % 196.91/197.19 (step @p163 :rule refl :args (@t295)) % 196.91/197.19 (step @p164 :rule refl :args (@t296)) % 196.91/197.19 (step @p165 :rule refl :args (@t297)) % 196.91/197.19 (step @p166 :rule refl :args (@t259)) % 196.91/197.19 (step @p167 :rule arith_poly_norm :args ((= (* -81 (- @t377 0)) (* -81 (- @t38 81))))) % 196.91/197.19 (step @p168 :rule arith_poly_norm_rel :premises (@p167) :args ((= (>= @t377 0) @t298))) % 196.91/197.19 (step @p169 :rule refl :args (0)) % 196.91/197.19 (step @p170 :rule arith_poly_norm :args ((= (+ @t38 -81) @t377))) % 196.91/197.19 (step @p171 :rule evaluate :args (@t378)) % 196.91/197.19 (step @p172 :rule refl :args (@t38)) % 196.91/197.19 (step @p173 :rule nary_cong :premises (@p172 @p171) :args (@t379)) % 196.91/197.19 (step @p174 :rule trans :premises (@p173 @p170)) % 196.91/197.19 (step @p175 :rule cong :premises (@p174 @p169) :args (@t380)) % 196.91/197.19 (step @p176 :rule trans :premises (@p175 @p168)) % 196.91/197.19 (step @p177 :rule refl :args (@t263)) % 196.91/197.19 (step @p178 :rule refl :args (@t299)) % 196.91/197.19 (step @p179 :rule refl :args (@t300)) % 196.91/197.19 (step @p180 :rule refl :args (@t301)) % 196.91/197.19 (step @p181 :rule refl :args (@t303)) % 196.91/197.19 (step @p182 :rule refl :args (@t304)) % 196.91/197.19 (step @p183 :rule evaluate :args ((not true))) % 196.91/197.19 (step @p184 :rule evaluate :args (@t381)) % 196.91/197.19 (step @p185 :rule cong :premises (@p184) :args (@t382)) % 196.91/197.19 (step @p186 :rule trans :premises (@p185 @p183)) % 196.91/197.19 (step @p187 :rule refl :args (@t305)) % 196.91/197.19 (step @p188 :rule evaluate :args (@t383)) % 196.91/197.19 (step @p189 :rule cong :premises (@p188) :args (@t384)) % 196.91/197.19 (step @p190 :rule trans :premises (@p189 @p183)) % 196.91/197.19 (step @p191 :rule refl :args (@t307)) % 196.91/197.19 (step @p192 :rule refl :args (@t309)) % 196.91/197.19 (step @p193 :rule refl :args (@t311)) % 196.91/197.19 (step @p194 :rule refl :args (@t313)) % 196.91/197.19 (step @p195 :rule refl :args (@t315)) % 196.91/197.19 (step @p196 :rule refl :args (@t317)) % 196.91/197.19 (step @p197 :rule nary_cong :premises (@p196 @p195 @p194 @p193 @p192 @p191 @p190 @p187 @p186 @p182 @p181 @p180 @p179 @p178 @p177 @p176 @p166 @p165 @p164 @p163 @p162 @p161 @p160 @p159 @p158 @p157 @p156) :args (@t385)) % 196.91/197.19 (step @p198 :rule trans :premises (@p197 @p155)) % 196.91/197.19 (step @p199 :rule cong :premises (@p198) :args ((forall @t319 @t385))) % 196.91/197.19 (step @p200 :rule quant-var-elim-eq :args ((= (forall @t392 @t391) @t385))) % 196.91/197.19 (step @p201 :rule aci_norm :args ((= @t393 @t391))) % 196.91/197.19 (step @p202 :rule cong :premises (@p201) :args (@t394)) % 196.91/197.19 (step @p203 :rule trans :premises (@p202 @p200)) % 196.91/197.19 (step @p204 :rule cong :premises (@p203) :args (@t395)) % 196.91/197.19 (step @p205 :rule quant-merge-prenex :args ((= @t395 @t396))) % 196.91/197.19 (step @p206 :rule symm :premises (@p205)) % 196.91/197.19 (step @p207 :rule quant_var_reordering :args ((= (forall @t397 @t393) @t396))) % 196.91/197.19 (step @p208 :rule trans :premises (@p207 @p206 @p204)) % 196.91/197.19 (step @p209 :rule trans :premises (@p208 @p199)) % 196.91/197.19 (step @p210 :rule refl :args (@t283)) % 196.91/197.19 (step @p211 :rule refl :args (@t284)) % 196.91/197.19 (step @p212 :rule refl :args (@t285)) % 196.91/197.19 (step @p213 :rule bool-double-not-elim :args (@t287)) % 196.91/197.19 (step @p214 :rule arith_poly_norm :args ((= (* -1 (- 0 @t400)) (* -1 (- @t399 1))))) % 196.91/197.19 (step @p215 :rule arith_poly_norm_rel :premises (@p214) :args ((= (>= 0 @t400) (>= @t399 1)))) % 196.91/197.19 (step @p216 :rule arith-geq-tighten :args (@t286 0)) % 196.91/197.19 (step @p217 :rule trans :premises (@p216 @p215)) % 196.91/197.19 (step @p218 :rule symm :premises (@p217)) % 196.91/197.19 (step @p219 :rule refl :args (1)) % 196.91/197.19 (step @p220 :rule arith_poly_norm :args ((= @t401 @t399))) % 196.91/197.19 (step @p221 :rule cong :premises (@p220 @p219) :args (@t402)) % 196.91/197.19 (step @p222 :rule trans :premises (@p221 @p218)) % 196.91/197.20 (step @p223 :rule cong :premises (@p222) :args (@t403)) % 196.91/197.20 (step @p224 :rule trans :premises (@p223 @p213)) % 196.91/197.20 (step @p225 :rule refl :args (@t289)) % 196.91/197.20 (step @p226 :rule nary_cong :premises (@p225 @p224 @p212 @p211 @p210) :args (@t404)) % 196.91/197.20 (step @p227 :rule cong :premises (@p226) :args (@t405)) % 196.91/197.20 (step @p228 :rule cong :premises (@p227) :args (@t406)) % 196.91/197.20 (step @p229 :rule refl :args (@t387)) % 196.91/197.20 (step @p230 :rule refl :args (@t388)) % 196.91/197.20 (step @p231 :rule refl :args (@t390)) % 196.91/197.20 (step @p232 :rule nary_cong :premises (@p196 @p195 @p194 @p193 @p192 @p191 @p231 @p187 @p230 @p182 @p181 @p180 @p179 @p178 @p177 @p229 @p166 @p165 @p164 @p163 @p162 @p161 @p160 @p228 @p158 @p157 @p156) :args (@t407)) % 196.91/197.20 (step @p233 :rule aci_norm :args ((= @t409 @t407))) % 196.91/197.20 (step @p234 :rule trans :premises (@p233 @p232)) % 196.91/197.20 (step @p235 :rule cong :premises (@p234) :args (@t410)) % 196.91/197.20 (step @p236 :rule trans :premises (@p235 @p209)) % 196.91/197.20 (step @p237 :rule quant-merge-prenex :args ((= (forall @t271 @t412) @t410))) % 196.91/197.20 (step @p238 :rule alpha_equiv :args (@t413 (@list @t276 @t274) (@list @t65 @t191))) % 196.91/197.20 (step @p239 :rule refl :args (@t296)) % 196.91/197.20 (step @p240 :rule refl :args (@t259)) % 196.91/197.20 (step @p241 :rule refl :args (@t387)) % 196.91/197.20 (step @p242 :rule refl :args (@t263)) % 196.91/197.20 (step @p243 :rule refl :args (@t299)) % 196.91/197.20 (step @p244 :rule refl :args (@t300)) % 196.91/197.20 (step @p245 :rule refl :args (@t301)) % 196.91/197.20 (step @p246 :rule refl :args (@t303)) % 196.91/197.20 (step @p247 :rule refl :args (@t304)) % 196.91/197.20 (step @p248 :rule refl :args (@t388)) % 196.91/197.20 (step @p249 :rule refl :args (@t305)) % 196.91/197.20 (step @p250 :rule refl :args (@t390)) % 196.91/197.20 (step @p251 :rule refl :args (@t307)) % 196.91/197.20 (step @p252 :rule refl :args (@t309)) % 196.91/197.20 (step @p253 :rule refl :args (@t311)) % 196.91/197.20 (step @p254 :rule refl :args (@t313)) % 196.91/197.20 (step @p255 :rule refl :args (@t315)) % 196.91/197.20 (step @p256 :rule refl :args (@t317)) % 196.91/197.20 (step @p257 :rule nary_cong :premises (@p256 @p255 @p254 @p253 @p252 @p251 @p250 @p249 @p248 @p247 @p246 @p245 @p244 @p243 @p242 @p241 @p240 @p80 @p239 @p238) :args (@t414)) % 196.91/197.20 (step @p258 :rule quant-miniscope-or :args ((= @t412 @t414))) % 196.91/197.20 (step @p259 :rule trans :premises (@p258 @p257)) % 196.91/197.20 (step @p260 :rule symm :premises (@p259)) % 196.91/197.20 (step @p261 :rule cong :premises (@p260) :args ((forall @t271 @t430))) % 196.91/197.20 (step @p262 :rule trans :premises (@p261 @p237)) % 196.91/197.20 (step @p263 :rule trans :premises (@p262 @p236)) % 196.91/197.20 (step @p264 :rule aci_norm :args ((= (or (or @t317 @t315 @t313 @t311 @t309 @t307 @t390 @t305 @t388 @t304 @t303 @t301 @t300 @t299) @t431) @t430))) % 196.91/197.20 (step @p265 :rule aci_norm :args ((= (or @t263 @t432) @t431))) % 196.91/197.20 (step @p266 :rule aci_norm :args ((= (or (or @t303 @t387) @t433) @t432))) % 196.91/197.20 (step @p267 :rule aci_norm :args ((= (or @t259 @t434) @t433))) % 196.91/197.20 (step @p268 :rule bool-impl-elim :args (@t258 @t434)) % 196.91/197.20 (step @p269 :rule trans :premises (@p268 @p267)) % 196.91/197.20 (step @p270 :rule bool-double-not-elim :args (@t387)) % 196.91/197.20 (step @p271 :rule nary_cong :premises (@p246 @p270) :args (@t437)) % 196.91/197.20 (step @p272 :rule bool-and-de-morgan :args (@t302 @t435 true)) % 196.91/197.20 (step @p273 :rule trans :premises (@p272 @p271)) % 196.91/197.20 (step @p274 :rule nary_cong :premises (@p273 @p269) :args ((or @t440 @t438))) % 196.91/197.20 (step @p275 :rule trans :premises (@p274 @p266)) % 196.91/197.20 (step @p276 :rule bool-impl-elim :args (@t439 @t438)) % 196.91/197.20 (step @p277 :rule trans :premises (@p276 @p275)) % 196.91/197.20 (step @p278 :rule nary_cong :premises (@p242 @p277) :args ((or @t263 @t441))) % 196.91/197.20 (step @p279 :rule trans :premises (@p278 @p265)) % 196.91/197.20 (step @p280 :rule refl :args (@t441)) % 196.91/197.20 (step @p281 :rule bool-double-not-elim :args (@t263)) % 196.91/197.20 (step @p282 :rule nary_cong :premises (@p281 @p280) :args ((or (not @t264) @t441))) % 196.91/197.20 (step @p283 :rule bool-impl-elim :args (@t264 @t441)) % 196.91/197.20 (step @p284 :rule trans :premises (@p283 @p282)) % 196.91/197.20 (step @p285 :rule trans :premises (@p284 @p279)) % 196.91/197.20 (step @p286 :rule bool-double-not-elim :args (@t301)) % 196.91/197.20 (step @p287 :rule nary_cong :premises (@p256 @p255 @p254 @p253 @p252 @p251 @p250 @p249 @p248 @p247 @p246 @p286 @p244 @p243) :args (@t444)) % 196.91/197.20 (step @p288 :rule aci_norm :args ((= (or @t317 (or @t315 (or @t313 (or @t311 (or @t309 (or @t307 (or @t390 (or @t305 (or @t388 (or @t304 (or @t303 (or @t443 (or @t300 @t299))))))))))))) @t444))) % 196.91/197.20 (step @p289 :rule trans :premises (@p288 @p287)) % 196.91/197.20 (step @p290 :rule bool-and-de-morgan :args (@t266 @t188 true)) % 196.91/197.20 (step @p291 :rule refl :args (@t443)) % 196.91/197.20 (step @p292 :rule nary_cong :premises (@p291 @p290) :args ((or @t443 (not (and @t266 @t188))))) % 196.91/197.20 (step @p293 :rule bool-and-de-morgan :args (@t442 @t266 (and @t188))) % 196.91/197.20 (step @p294 :rule trans :premises (@p293 @p292)) % 196.91/197.20 (step @p295 :rule nary_cong :premises (@p246 @p294) :args ((or @t303 (not (and @t442 @t266 @t188))))) % 196.91/197.20 (step @p296 :rule bool-and-de-morgan :args (@t302 @t442 (and @t266 @t188))) % 196.91/197.20 (step @p297 :rule trans :premises (@p296 @p295)) % 196.91/197.20 (step @p298 :rule nary_cong :premises (@p247 @p297) :args ((or @t304 (not (and @t302 @t442 @t266 @t188))))) % 196.91/197.20 (step @p299 :rule bool-and-de-morgan :args (@t267 @t302 (and @t442 @t266 @t188))) % 196.91/197.20 (step @p300 :rule trans :premises (@p299 @p298)) % 196.91/197.20 (step @p301 :rule nary_cong :premises (@p248 @p300) :args ((or @t388 (not (and @t267 @t302 @t442 @t266 @t188))))) % 196.91/197.20 (step @p302 :rule bool-and-de-morgan :args (@t222 @t267 (and @t302 @t442 @t266 @t188))) % 196.91/197.20 (step @p303 :rule trans :premises (@p302 @p301)) % 196.91/197.20 (step @p304 :rule nary_cong :premises (@p249 @p303) :args ((or @t305 (not (and @t222 @t267 @t302 @t442 @t266 @t188))))) % 196.91/197.20 (step @p305 :rule bool-and-de-morgan :args (@t268 @t222 (and @t267 @t302 @t442 @t266 @t188))) % 196.91/197.20 (step @p306 :rule trans :premises (@p305 @p304)) % 196.91/197.20 (step @p307 :rule nary_cong :premises (@p250 @p306) :args ((or @t390 (not (and @t268 @t222 @t267 @t302 @t442 @t266 @t188))))) % 196.91/197.20 (step @p308 :rule bool-and-de-morgan :args (@t389 @t268 (and @t222 @t267 @t302 @t442 @t266 @t188))) % 196.91/197.20 (step @p309 :rule trans :premises (@p308 @p307)) % 196.91/197.20 (step @p310 :rule nary_cong :premises (@p251 @p309) :args ((or @t307 (not (and @t389 @t268 @t222 @t267 @t302 @t442 @t266 @t188))))) % 196.91/197.20 (step @p311 :rule bool-and-de-morgan :args (@t306 @t389 (and @t268 @t222 @t267 @t302 @t442 @t266 @t188))) % 196.91/197.20 (step @p312 :rule trans :premises (@p311 @p310)) % 196.91/197.20 (step @p313 :rule nary_cong :premises (@p252 @p312) :args ((or @t309 (not (and @t306 @t389 @t268 @t222 @t267 @t302 @t442 @t266 @t188))))) % 196.91/197.20 (step @p314 :rule bool-and-de-morgan :args (@t308 @t306 (and @t389 @t268 @t222 @t267 @t302 @t442 @t266 @t188))) % 196.91/197.20 (step @p315 :rule trans :premises (@p314 @p313)) % 196.91/197.20 (step @p316 :rule nary_cong :premises (@p253 @p315) :args ((or @t311 (not (and @t308 @t306 @t389 @t268 @t222 @t267 @t302 @t442 @t266 @t188))))) % 196.91/197.20 (step @p317 :rule bool-and-de-morgan :args (@t310 @t308 (and @t306 @t389 @t268 @t222 @t267 @t302 @t442 @t266 @t188))) % 196.91/197.20 (step @p318 :rule trans :premises (@p317 @p316)) % 196.91/197.20 (step @p319 :rule nary_cong :premises (@p254 @p318) :args ((or @t313 (not (and @t310 @t308 @t306 @t389 @t268 @t222 @t267 @t302 @t442 @t266 @t188))))) % 196.91/197.20 (step @p320 :rule bool-and-de-morgan :args (@t312 @t310 (and @t308 @t306 @t389 @t268 @t222 @t267 @t302 @t442 @t266 @t188))) % 196.91/197.20 (step @p321 :rule trans :premises (@p320 @p319)) % 196.91/197.20 (step @p322 :rule nary_cong :premises (@p255 @p321) :args ((or @t315 (not (and @t312 @t310 @t308 @t306 @t389 @t268 @t222 @t267 @t302 @t442 @t266 @t188))))) % 196.91/197.20 (step @p323 :rule bool-and-de-morgan :args (@t314 @t312 (and @t310 @t308 @t306 @t389 @t268 @t222 @t267 @t302 @t442 @t266 @t188))) % 196.91/197.20 (step @p324 :rule trans :premises (@p323 @p322)) % 196.91/197.20 (step @p325 :rule nary_cong :premises (@p256 @p324) :args ((or @t317 (not (and @t314 @t312 @t310 @t308 @t306 @t389 @t268 @t222 @t267 @t302 @t442 @t266 @t188))))) % 196.91/197.20 (step @p326 :rule bool-and-de-morgan :args (@t316 @t314 (and @t312 @t310 @t308 @t306 @t389 @t268 @t222 @t267 @t302 @t442 @t266 @t188))) % 196.91/197.20 (step @p327 :rule trans :premises (@p326 @p325)) % 196.91/197.20 (step @p328 :rule trans :premises (@p327 @p289)) % 196.91/197.20 (step @p329 :rule nary_cong :premises (@p328 @p285) :args ((or (not @t446) @t445))) % 196.91/197.20 (step @p330 :rule trans :premises (@p329 @p264)) % 196.91/197.20 (step @p331 :rule bool-impl-elim :args (@t446 @t445)) % 196.91/197.20 (step @p332 :rule trans :premises (@p331 @p330)) % 196.91/197.20 (step @p333 :rule cong :premises (@p332) :args ((forall @t271 (=> @t446 @t445)))) % 196.91/197.20 (step @p334 :rule trans :premises (@p333 @p263)) % 196.91/197.20 (step @p335 :rule bool-impl-true2 :args (@t434)) % 196.91/197.20 (step @p336 :rule quant-miniscope-or :args ((= (forall @t254 @t447) @t434))) % 196.91/197.20 (step @p337 :rule aci_norm :args ((= @t448 @t447))) % 196.91/197.20 (step @p338 :rule cong :premises (@p337) :args ((forall @t254 @t448))) % 196.91/197.20 (step @p339 :rule trans :premises (@p338 @p336)) % 196.91/197.20 (step @p340 :rule aci_norm :args ((= (or (or @t425 @t423) @t449) @t448))) % 196.91/197.20 (step @p341 :rule aci_norm :args ((= (or @t451 @t450) @t449))) % 196.91/197.20 (step @p342 :rule aci_norm :args ((= (or (or @t390 @t303 @t387) @t452) @t450))) % 196.91/197.20 (step @p343 :rule refl :args (@t452)) % 196.91/197.20 (step @p344 :rule nary_cong :premises (@p250 @p246 @p270) :args (@t453)) % 196.91/197.20 (step @p345 :rule aci_norm :args ((= (or @t390 @t437) @t453))) % 196.91/197.20 (step @p346 :rule trans :premises (@p345 @p344)) % 196.91/197.20 (step @p347 :rule nary_cong :premises (@p250 @p272) :args ((or @t390 @t440))) % 196.91/197.20 (step @p348 :rule bool-and-de-morgan :args (@t389 @t302 (and @t435))) % 196.91/197.20 (step @p349 :rule trans :premises (@p348 @p347)) % 196.91/197.20 (step @p350 :rule trans :premises (@p349 @p346)) % 196.91/197.20 (step @p351 :rule nary_cong :premises (@p350 @p343) :args ((or (not @t454) @t452))) % 196.91/197.20 (step @p352 :rule trans :premises (@p351 @p342)) % 196.91/197.20 (step @p353 :rule bool-impl-elim :args (@t454 @t452)) % 196.91/197.20 (step @p354 :rule trans :premises (@p353 @p352)) % 196.91/197.20 (step @p355 :rule aci_norm :args ((= (or @t427 (or @t426 @t422)) @t451))) % 196.91/197.20 (step @p356 :rule bool-and-de-morgan :args (@t187 @t421 true)) % 196.91/197.20 (step @p357 :rule refl :args (@t427)) % 196.91/197.20 (step @p358 :rule nary_cong :premises (@p357 @p356) :args ((or @t427 (not (and @t187 @t421))))) % 196.91/197.20 (step @p359 :rule bool-and-de-morgan :args (@t249 @t187 (and @t421))) % 196.91/197.20 (step @p360 :rule trans :premises (@p359 @p358)) % 196.91/197.20 (step @p361 :rule trans :premises (@p360 @p355)) % 196.91/197.20 (step 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(step @p441 :rule cong :premises (@p440 @p433) :args (@t234)) % 196.91/197.20 (step @p442 :rule aci_norm :args ((= @t476 @t420))) % 196.91/197.20 (step @p443 :rule cong :premises (@p442) :args (@t477)) % 196.91/197.20 (step @p444 :rule quant-merge-prenex :args ((= (forall @t246 @t479) @t477))) % 196.91/197.20 (step @p445 :rule alpha_equiv :args (@t480 (@list @t282) (@list @t166))) % 196.91/197.20 (step @p446 :rule refl :args (@t419)) % 196.91/197.20 (step @p447 :rule refl :args (@t289)) % 196.91/197.20 (step @p448 :rule nary_cong :premises (@p447 @p446 @p445) :args (@t481)) % 196.91/197.20 (step @p449 :rule quant-miniscope-or :args ((= @t479 @t481))) % 196.91/197.20 (step @p450 :rule trans :premises (@p449 @p448)) % 196.91/197.20 (step @p451 :rule symm :premises (@p450)) % 196.91/197.20 (step @p452 :rule cong :premises (@p451) :args ((forall @t246 @t486))) % 196.91/197.20 (step @p453 :rule trans :premises (@p452 @p444)) % 196.91/197.20 (step @p454 :rule trans :premises (@p453 @p443)) % 196.91/197.20 (step @p455 :rule aci_norm :args ((= (or (or @t289 @t419) @t485) @t486))) % 196.91/197.20 (step @p456 :rule refl :args (@t485)) % 196.91/197.20 (step @p457 :rule bool-and-de-morgan :args (@t288 @t418 true)) % 196.91/197.20 (step @p458 :rule nary_cong :premises (@p457 @p456) :args ((or (not @t487) @t485))) % 196.91/197.20 (step @p459 :rule trans :premises (@p458 @p455)) % 196.91/197.20 (step @p460 :rule bool-impl-elim :args (@t487 @t485)) % 196.91/197.20 (step @p461 :rule trans :premises (@p460 @p459)) % 196.91/197.20 (step @p462 :rule cong :premises (@p461) :args ((forall @t246 (=> @t487 @t485)))) % 196.91/197.20 (step @p463 :rule trans :premises (@p462 @p454)) % 196.91/197.20 (step @p464 :rule aci_norm :args ((= (or (or @t483 @t482) @t235) @t484))) % 196.91/197.20 (step @p465 :rule refl :args (@t235)) % 196.91/197.20 (step @p466 :rule bool-and-de-morgan :args (@t240 @t236 true)) % 196.91/197.20 (step @p467 :rule nary_cong :premises (@p466 @p465) :args ((or (not @t241) 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:rule trans :premises (@p809 @p807)) % 197.03/197.20 (step @p811 false :rule eq_resolve :premises (@p810 @p801)) % 197.03/197.20 (step-pop @p995 :rule scope :premises (@p811)) % 197.03/197.20 (step-pop @p996 :rule scope :premises (@p995)) % 197.03/197.20 (step-pop @p997 :rule scope :premises (@p996)) % 197.03/197.20 (step-pop @p998 :rule scope :premises (@p997)) % 197.03/197.20 (step @p812 :rule process_scope :premises (@p998) :args (false)) % 197.03/197.20 (assume-push @p999 @t618) % 197.03/197.20 (assume-push @p1000 @t613) % 197.03/197.20 (assume-push @p1001 @t627) % 197.03/197.20 (assume-push @p1002 @t625) % 197.03/197.20 (assume-push @p1003 @t623) % 197.03/197.20 (assume-push @p1004 @t538) % 197.03/197.20 (assume-push @p1005 @t620) % 197.03/197.20 (assume-push @p1006 @t627) % 197.03/197.20 (assume-push @p1007 @t620) % 197.03/197.20 (assume-push @p1008 @t618) % 197.03/197.20 (assume-push @p1009 @t623) % 197.03/197.20 (step @p828 :rule refl :args (@t529)) % 197.03/197.20 (step @p829 :rule refl :args (tptp.int)) % 197.03/197.20 (step @p830 :rule cong :premises (@p829 @p829 @p74 @p828) :args (@t635)) % 197.03/197.20 (step @p831 :rule symm :premises (@p74)) % 197.03/197.20 (step @p832 :rule cong :premises (@p829 @p829 @p831 @p1005) :args ((tptp.get tptp.int tptp.int @t522 @t322))) % 197.03/197.20 (step @p833 :rule refl :args (@t322)) % 197.03/197.20 (step @p834 :rule cong :premises (@p829 @p829 @p74 @p833) :args (@t617)) % 197.03/197.20 (step @p835 :rule trans :premises (@p788 @p834 @p832 @p830)) % 197.03/197.20 (step @p836 :rule cong :premises (@p835) :args (@t622)) % 197.03/197.20 (step @p837 :rule trans :premises (@p744 @p836)) % 197.03/197.20 (step-pop @p1010 :rule scope :premises (@p837)) % 197.03/197.20 (step-pop @p1011 :rule scope :premises (@p1010)) % 197.03/197.20 (step-pop @p1012 :rule scope :premises (@p1011)) % 197.03/197.20 (step-pop @p1013 :rule scope :premises (@p1012)) % 197.03/197.20 (step @p838 :rule process_scope :premises (@p1013) :args (@t633)) % 197.03/197.20 (step @p843 :rule and_intro :premises (@p74 @p1005 @p788 @p744)) % 197.03/197.20 (step @p844 :rule modus_ponens :premises (@p843 @p838)) % 197.03/197.20 (assume-push @p1014 @t625) % 197.03/197.20 (assume-push @p1015 @t620) % 197.03/197.20 (assume-push @p1016 @t613) % 197.03/197.20 (assume-push @p1017 @t623) % 197.03/197.20 (step @p828 :rule refl :args (@t529)) % 197.03/197.20 (step @p829 :rule refl :args (tptp.int)) % 197.03/197.20 (step @p849 :rule cong :premises (@p829 @p829 @p75 @p828) :args (@t636)) % 197.03/197.20 (step @p850 :rule symm :premises (@p75)) % 197.03/197.20 (step @p851 :rule cong :premises (@p829 @p829 @p850 @p1005) :args ((tptp.get tptp.int tptp.int @t523 @t322))) % 197.03/197.20 (step @p833 :rule refl :args (@t322)) % 197.03/197.20 (step @p852 :rule cong :premises (@p829 @p829 @p75 @p833) :args (@t612)) % 197.03/197.20 (step @p853 :rule trans :premises (@p784 @p852 @p851 @p849)) % 197.03/197.20 (step @p854 :rule cong :premises (@p853) :args (@t622)) % 197.03/197.20 (step @p855 :rule trans :premises (@p744 @p854)) % 197.03/197.20 (step-pop @p1018 :rule scope :premises (@p855)) % 197.03/197.20 (step-pop @p1019 :rule scope :premises (@p1018)) % 197.03/197.20 (step-pop @p1020 :rule scope :premises (@p1019)) % 197.03/197.20 (step-pop @p1021 :rule scope :premises (@p1020)) % 197.03/197.20 (step @p856 :rule process_scope :premises (@p1021) :args (@t632)) % 197.03/197.20 (step @p861 :rule and_intro :premises (@p75 @p1005 @p784 @p744)) % 197.03/197.20 (step @p862 :rule modus_ponens :premises (@p861 @p856)) % 197.03/197.20 (step @p863 :rule and_intro :premises (@p744 @p862 @p844 @p590)) % 197.03/197.20 (step-pop @p1022 :rule scope :premises (@p863)) % 197.03/197.20 (step-pop @p1023 :rule scope :premises (@p1022)) % 197.03/197.20 (step-pop @p1024 :rule scope :premises (@p1023)) % 197.03/197.20 (step-pop @p1025 :rule scope :premises (@p1024)) % 197.03/197.20 (step-pop @p1026 :rule scope :premises (@p1025)) % 197.03/197.20 (step-pop @p1027 :rule scope :premises (@p1026)) % 197.03/197.20 (step-pop @p1028 :rule scope :premises (@p1027)) % 197.03/197.20 (step @p864 :rule process_scope :premises (@p1028) :args (@t637)) % 197.03/197.20 (step @p872 :rule implies_elim :premises (@p864)) % 197.03/197.20 (step @p873 :rule resolution :premises (@p872 @p812) :args (true @t637)) % 197.03/197.20 (step @p874 :rule not_and :premises (@p873)) % 197.03/197.20 (step @p875 :rule eq_resolve :premises (@p874 @p796)) % 197.03/197.20 (step @p876 :rule chain_m_resolution :premises (@p875 @p788 @p784 @p74 @p75 @p744 @p590) :args (@t621 (@list false false false false false true) (@list @t618 @t613 @t627 @t625 @t623 @t534))) % 197.03/197.20 (step @p877 :rule instantiate :premises (@p19) :args (@t567)) % 197.03/197.20 (step @p878 :rule instantiate :premises (@p19) :args (@t509)) % 197.03/197.20 (step @p879 :rule cnf_or_pos :args (@t644)) % 197.03/197.20 (step @p880 :rule reordering :premises (@p879) :args ((or @t643 @t641 @t620 @t639 (not @t644)))) % 197.03/197.20 (step @p881 :rule chain_m_resolution :premises (@p880 @p878 @p877 @p876 @p739) :args (@t639 @t645 (@list @t642 @t640 @t620 @t644))) % 197.03/197.20 (step @p882 :rule instantiate :premises (@p738) :args ((@list tptp.int tptp.int @t329 @t322 @t529 @t327))) % 197.03/197.20 (step @p883 :rule cnf_or_pos :args (@t647)) % 197.03/197.20 (step @p884 :rule reordering :premises (@p883) :args ((or @t643 @t641 @t620 @t646 (not @t647)))) % 197.03/197.20 (step @p885 :rule chain_m_resolution :premises (@p884 @p878 @p877 @p876 @p882) :args (@t646 @t645 (@list @t642 @t640 @t620 @t647))) % 197.03/197.20 (step @p886 :rule instantiate :premises (@p593) :args ((@list @t575))) % 197.03/197.20 (step @p887 :rule instantiate :premises (@p738) :args ((@list tptp.int tptp.int @t324 @t322 @t529 @t248))) % 197.03/197.20 (step @p888 :rule cnf_or_pos :args (@t650)) % 197.03/197.20 (step @p889 :rule reordering :premises (@p888) :args ((or @t643 @t641 @t620 @t649 (not @t650)))) % 197.03/197.20 (step @p890 :rule chain_m_resolution :premises (@p889 @p878 @p877 @p876 @p887) :args (@t649 @t645 (@list @t642 @t640 @t620 @t650))) % 197.03/197.20 (step @p891 :rule refl :args (@t651)) % 197.03/197.20 (step @p892 :rule refl :args (@t654)) % 197.03/197.20 (step @p893 :rule refl :args (@t655)) % 197.03/197.20 (step @p894 :rule refl :args (@t656)) % 197.03/197.20 (step @p895 :rule refl :args (@t657)) % 197.03/197.20 (step @p896 :rule refl :args (@t659)) % 197.03/197.20 (step @p897 :rule refl :args (@t661)) % 197.03/197.20 (step @p898 :rule nary_cong :premises (@p897 @p793 @p792 @p790 @p896 @p895 @p894 @p893 @p892 @p891) :args ((or @t661 @t628 @t626 @t631 @t659 @t657 @t656 @t655 @t654 @t651))) % 197.03/197.20 (assume-push @p1029 @t579) % 197.03/197.20 (assume-push @p1030 @t662) % 197.03/197.20 (assume-push @p1031 @t663) % 197.03/197.20 (assume-push @p1032 @t538) % 197.03/197.20 (step @p801 :rule evaluate :args (@t634)) % 197.03/197.20 (step @p903 :rule trans :premises (@p1031 @p695)) % 197.03/197.20 (step @p904 :rule symm :premises (@p903)) % 197.03/197.20 (step @p905 :rule trans :premises (@p1030 @p695 @p904)) % 197.03/197.20 (step @p906 :rule true_intro :premises (@p905)) % 197.03/197.20 (step @p808 :rule false_intro :premises (@p590)) % 197.03/197.20 (step @p809 :rule symm :premises (@p808)) % 197.03/197.20 (step @p907 :rule trans :premises (@p809 @p906)) % 197.03/197.20 (step @p908 false :rule eq_resolve :premises (@p907 @p801)) % 197.03/197.20 (step-pop @p1033 :rule scope :premises (@p908)) % 197.03/197.20 (step-pop @p1034 :rule scope :premises (@p1033)) % 197.03/197.20 (step-pop @p1035 :rule scope :premises (@p1034)) % 197.03/197.20 (step-pop @p1036 :rule scope :premises (@p1035)) % 197.03/197.20 (step @p909 :rule process_scope :premises (@p1036) :args (false)) % 197.03/197.20 (assume-push @p1037 @t660) % 197.03/197.20 (assume-push @p1038 @t627) % 197.03/197.20 (assume-push @p1039 @t625) % 197.03/197.20 (assume-push @p1040 @t538) % 197.03/197.20 (assume-push @p1041 @t658) % 197.03/197.20 (assume-push @p1042 @t639) % 197.03/197.20 (assume-push @p1043 @t646) % 197.03/197.20 (assume-push @p1044 @t579) % 197.03/197.20 (assume-push @p1045 @t653) % 197.03/197.20 (assume-push @p1046 @t649) % 197.03/197.20 (assume-push @p1047 @t646) % 197.03/197.20 (assume-push @p1048 @t627) % 197.03/197.20 (step @p926 :rule symm :premises (@p1043)) % 197.03/197.20 (step @p828 :rule refl :args (@t529)) % 197.03/197.20 (step @p831 :rule symm :premises (@p74)) % 197.03/197.20 (step @p829 :rule refl :args (tptp.int)) % 197.03/197.20 (step @p927 :rule cong :premises (@p829 @p829 @p831 @p828) :args (@t530)) % 197.03/197.20 (step @p928 :rule trans :premises (@p927 @p926)) % 197.03/197.20 (step @p929 :rule cong :premises (@p928) :args (@t531)) % 197.03/197.20 (step-pop @p1049 :rule scope :premises (@p929)) % 197.03/197.20 (step-pop @p1050 :rule scope :premises (@p1049)) % 197.03/197.20 (step @p930 :rule process_scope :premises (@p1050) :args (@t663)) % 197.03/197.20 (step @p933 :rule and_intro :premises (@p1043 @p74)) % 197.03/197.20 (step @p934 :rule modus_ponens :premises (@p933 @p930)) % 197.03/197.20 (assume-push @p1051 @t646) % 197.03/197.20 (assume-push @p1052 @t627) % 197.03/197.20 (assume-push @p1053 @t658) % 197.03/197.20 (assume-push @p1054 @t579) % 197.03/197.20 (assume-push @p1055 @t653) % 197.03/197.20 (assume-push @p1056 @t660) % 197.03/197.20 (assume-push @p1057 @t649) % 197.03/197.20 (assume-push @p1058 @t639) % 197.03/197.20 (assume-push @p1059 @t625) % 197.03/197.20 (step @p944 :rule symm :premises (@p1043)) % 197.03/197.20 (step @p828 :rule refl :args (@t529)) % 197.03/197.20 (step @p831 :rule symm :premises (@p74)) % 197.03/197.20 (step @p829 :rule refl :args (tptp.int)) % 197.03/197.20 (step @p927 :rule cong :premises (@p829 @p829 @p831 @p828) :args (@t530)) % 197.03/197.20 (step @p945 :rule trans :premises (@p927 @p944)) % 197.03/197.20 (step @p946 :rule cong :premises (@p945) :args (@t531)) % 197.03/197.20 (step @p947 :rule symm :premises (@p594)) % 197.03/197.20 (step @p948 :rule symm :premises (@p946)) % 197.03/197.20 (step @p949 :rule symm :premises (@p695)) % 197.03/197.20 (step @p950 :rule trans :premises (@p949 @p948)) % 197.03/197.20 (step @p951 :rule cong :premises (@p950) :args (@t652)) % 197.03/197.20 (step @p952 :rule cong :premises (@p829 @p829 @p73 @p828) :args (@t648)) % 197.03/197.20 (step @p953 :rule trans :premises (@p1046 @p952 @p886 @p951 @p947)) % 197.03/197.20 (step @p954 :rule cong :premises (@p953) :args ((tptp.tb2t1 @t638))) % 197.03/197.20 (step @p955 :rule symm :premises (@p1042)) % 197.03/197.20 (step @p850 :rule symm :premises (@p75)) % 197.03/197.20 (step @p956 :rule cong :premises (@p829 @p829 @p850 @p828) :args (@t532)) % 197.03/197.20 (step @p957 :rule trans :premises (@p956 @p955)) % 197.03/197.20 (step @p958 :rule cong :premises (@p957) :args (@t533)) % 197.03/197.20 (step @p959 :rule trans :premises (@p958 @p954 @p946)) % 197.03/197.20 (step-pop @p1060 :rule scope :premises (@p959)) % 197.03/197.20 (step-pop @p1061 :rule scope :premises (@p1060)) % 197.03/197.20 (step-pop @p1062 :rule scope :premises (@p1061)) % 197.03/197.20 (step-pop @p1063 :rule scope :premises (@p1062)) % 197.03/197.20 (step-pop @p1064 :rule scope :premises (@p1063)) % 197.03/197.20 (step-pop @p1065 :rule scope :premises (@p1064)) % 197.03/197.20 (step-pop @p1066 :rule scope :premises (@p1065)) % 197.03/197.20 (step-pop @p1067 :rule scope :premises (@p1066)) % 197.03/197.20 (step-pop @p1068 :rule scope :premises (@p1067)) % 197.03/197.20 (step @p960 :rule process_scope :premises (@p1068) :args (@t662)) % 197.03/197.20 (step @p970 :rule and_intro :premises (@p1043 @p74 @p594 @p695 @p886 @p73 @p1046 @p1042 @p75)) % 197.03/197.20 (step @p971 :rule modus_ponens :premises (@p970 @p960)) % 197.03/197.20 (step @p972 :rule and_intro :premises (@p695 @p971 @p934 @p590)) % 197.03/197.20 (step-pop @p1069 :rule scope :premises (@p972)) % 197.03/197.20 (step-pop @p1070 :rule scope :premises (@p1069)) % 197.03/197.20 (step-pop @p1071 :rule scope :premises (@p1070)) % 197.03/197.20 (step-pop @p1072 :rule scope :premises (@p1071)) % 197.03/197.20 (step-pop @p1073 :rule scope :premises (@p1072)) % 197.03/197.20 (step-pop @p1074 :rule scope :premises (@p1073)) % 197.03/197.20 (step-pop @p1075 :rule scope :premises (@p1074)) % 197.03/197.20 (step-pop @p1076 :rule scope :premises (@p1075)) % 197.03/197.20 (step-pop @p1077 :rule scope :premises (@p1076)) % 197.03/197.20 (step-pop @p1078 :rule scope :premises (@p1077)) % 197.03/197.20 (step @p973 :rule process_scope :premises (@p1078) :args (@t664)) % 197.03/197.20 (step @p984 :rule implies_elim :premises (@p973)) % 197.03/197.20 (step @p985 :rule resolution :premises (@p984 @p909) :args (true @t664)) % 197.03/197.20 (step @p986 :rule not_and :premises (@p985)) % 197.03/197.20 (step @p987 :rule eq_resolve :premises (@p986 @p898)) % 197.03/197.20 (step @p988 false :rule chain_m_resolution :premises (@p987 @p890 @p886 @p885 @p881 @p695 @p594 @p590 @p75 @p74 @p73) :args (false (@list false false false false false false true false false false) (@list @t649 @t653 @t646 @t639 @t579 @t658 @t534 @t625 @t627 @t660))) % 197.03/197.20 ) % 197.03/197.20 % SZS output end Proof % 197.03/197.20 % cvc5 exiting %------------------------------------------------------------------------------