%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW627_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 09:05:22 AM UTC 2026 % Result : Theorem 152.81s 153.18s % Output : Proof 152.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW627_2 : TPTP v9.2.1. Released v6.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n001.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 22:20:20 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.53 %----Proving TF0_ARI % 152.81/153.18 --- Run --finite-model-find --decision=internal at 45... % 152.81/153.18 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 152.81/153.18 --- Run --no-e-matching --full-saturate-quant at 45... % 152.81/153.18 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 152.81/153.18 % SZS status Theorem % 152.81/153.18 % SZS output start Proof % 152.81/153.18 ( % 152.81/153.18 (declare-sort tptp.list_elt 0) % 152.81/153.18 (declare-sort tptp.elt 0) % 152.81/153.18 (declare-sort tptp.tuple0 0) % 152.81/153.18 (declare-sort tptp.bool 0) % 152.81/153.18 (declare-sort tptp.ty 0) % 152.81/153.18 (declare-sort tptp.uni 0) % 152.81/153.18 (declare-const tptp.cons_proj_1 (-> tptp.ty tptp.uni tptp.uni)) % 152.81/153.18 (declare-const tptp.mod (-> Int Int Int)) % 152.81/153.18 (declare-const tptp.nil (-> tptp.ty tptp.uni)) % 152.81/153.18 (declare-const tptp.witness (-> tptp.ty tptp.uni)) % 152.81/153.18 (declare-const tptp.tb2t (-> tptp.uni tptp.list_elt)) % 152.81/153.18 (declare-const tptp.true tptp.bool) % 152.81/153.18 (declare-const tptp.match_bool (-> tptp.ty tptp.bool tptp.uni tptp.uni tptp.uni)) % 152.81/153.18 (declare-const tptp.div (-> Int Int Int)) % 152.81/153.18 (declare-const tptp.sort (-> tptp.ty tptp.uni Bool)) % 152.81/153.18 (declare-const tptp.cons_proj_2 (-> tptp.ty tptp.uni tptp.uni)) % 152.81/153.18 (declare-const tptp.permut (-> tptp.ty tptp.uni tptp.uni Bool)) % 152.81/153.18 (declare-const tptp.le (-> tptp.elt tptp.elt Bool)) % 152.81/153.18 (declare-const tptp.list (-> tptp.ty tptp.ty)) % 152.81/153.18 (declare-const tptp.rev_append (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 152.81/153.18 (declare-const tptp.tuple02 tptp.tuple0) % 152.81/153.18 (declare-const tptp.infix_plpl (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 152.81/153.18 (declare-const tptp.false tptp.bool) % 152.81/153.18 (declare-const tptp.cons (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 152.81/153.18 (declare-const tptp.mem (-> tptp.ty tptp.uni tptp.uni Bool)) % 152.81/153.18 (declare-const tptp.prefix (-> tptp.ty Int tptp.uni tptp.uni)) % 152.81/153.18 (declare-const tptp.num_occ (-> tptp.ty tptp.uni tptp.uni Int)) % 152.81/153.18 (declare-const tptp.t2tb1 (-> tptp.elt tptp.uni)) % 152.81/153.18 (declare-const tptp.reverse (-> tptp.ty tptp.uni tptp.uni)) % 152.81/153.18 (declare-const tptp.t2tb (-> tptp.list_elt tptp.uni)) % 152.81/153.18 (declare-const tptp.elt1 tptp.ty) % 152.81/153.18 (declare-const tptp.match_list (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 152.81/153.18 (declare-const tptp.sorted (-> tptp.list_elt Bool)) % 152.81/153.18 (declare-const tptp.tb2t1 (-> tptp.uni tptp.elt)) % 152.81/153.18 (declare-const tptp.length (-> tptp.ty tptp.uni Int)) % 152.81/153.18 (declare-const tptp.abs (-> Int Int)) % 152.81/153.18 (define @t1 () (@var "A" tptp.ty)) % 152.81/153.18 (define @t2 () (@list @t1)) % 152.81/153.18 (define @t3 () (@var "X2" tptp.uni)) % 152.81/153.18 (define @t4 () (@var "X1" tptp.uni)) % 152.81/153.18 (define @t5 () (@var "X" tptp.bool)) % 152.81/153.18 (define @t6 () (@var "Z" tptp.uni)) % 152.81/153.18 (define @t7 () (@var "Z1" tptp.uni)) % 152.81/153.18 (define @t8 () (@list @t1 @t6 @t7)) % 152.81/153.18 (define @t9 () (@var "U" tptp.bool)) % 152.81/153.18 (define @t10 () (@var "U" tptp.tuple0)) % 152.81/153.18 (define @t11 () (@var "Z" Int)) % 152.81/153.18 (define @t12 () (@var "Y" Int)) % 152.81/153.18 (define @t13 () (@var "X" Int)) % 152.81/153.18 (define @t14 () (<= 0 @t11)) % 152.81/153.18 (define @t15 () (<= @t13 @t12)) % 152.81/153.18 (define @t16 () (@list @t13 @t12 @t11)) % 152.81/153.18 (define @t17 () (tptp.nil @t1)) % 152.81/153.18 (define @t18 () (tptp.list @t1)) % 152.81/153.18 (define @t19 () (@var "X" tptp.uni)) % 152.81/153.18 (define @t20 () (tptp.cons @t1 @t19 @t4)) % 152.81/153.18 (define @t21 () (@list @t1 @t19 @t4)) % 152.81/153.18 (define @t22 () (@var "A1" tptp.ty)) % 152.81/153.18 (define @t23 () (@var "U1" tptp.uni)) % 152.81/153.18 (define @t24 () (@var "U" tptp.uni)) % 152.81/153.18 (define @t25 () (tptp.cons @t1 @t24 @t23)) % 152.81/153.18 (define @t26 () (@var "V1" tptp.uni)) % 152.81/153.18 (define @t27 () (@var "V" tptp.uni)) % 152.81/153.18 (define @t28 () (@list @t1 @t19)) % 152.81/153.18 (define @t29 () (@list @t1 @t24 @t23)) % 152.81/153.18 (define @t30 () (@list @t19 @t4)) % 152.81/153.18 (define @t31 () (@var "L" tptp.uni)) % 152.81/153.18 (define @t32 () (tptp.length @t1 @t31)) % 152.81/153.18 (define @t33 () (@list @t1 @t31)) % 152.81/153.18 (define @t34 () (@var "L2" tptp.uni)) % 152.81/153.18 (define @t35 () (forall @t30 (= (tptp.infix_plpl @t1 @t20 @t34) (tptp.cons @t1 @t19 (tptp.infix_plpl @t1 @t4 @t34))))) % 152.81/153.18 (define @t36 () (tptp.infix_plpl @t1 @t17 @t34)) % 152.81/153.18 (define @t37 () (and (= @t36 @t34) @t35)) % 152.81/153.18 (define @t38 () (@list @t1 @t34)) % 152.81/153.18 (define @t39 () (forall @t38 @t37)) % 152.81/153.18 (define @t40 () (@var "L3" tptp.uni)) % 152.81/153.18 (define @t41 () (@var "L1" tptp.uni)) % 152.81/153.18 (define @t42 () (tptp.infix_plpl @t1 @t41 @t34)) % 152.81/153.18 (define @t43 () (tptp.infix_plpl @t1 @t42 @t40)) % 152.81/153.18 (define @t44 () (tptp.infix_plpl @t1 @t41 (tptp.infix_plpl @t1 @t34 @t40))) % 152.81/153.18 (define @t45 () (@list @t1 @t41 @t34 @t40)) % 152.81/153.18 (define @t46 () (tptp.length @t1 @t34)) % 152.81/153.18 (define @t47 () (tptp.length @t1 @t41)) % 152.81/153.18 (define @t48 () (+ @t47 @t46)) % 152.81/153.18 (define @t49 () (@list @t1 @t41 @t34)) % 152.81/153.18 (define @t50 () (= @t19 @t4)) % 152.81/153.18 (define @t51 () (tptp.cons @t1 @t4 @t3)) % 152.81/153.18 (define @t52 () (tptp.sort @t1 @t4)) % 152.81/153.18 (define @t53 () (@list @t4 @t3)) % 152.81/153.18 (define @t54 () (tptp.sort @t1 @t19)) % 152.81/153.18 (define @t55 () (tptp.mem @t1 @t19 @t34)) % 152.81/153.18 (define @t56 () (tptp.mem @t1 @t19 @t41)) % 152.81/153.18 (define @t57 () (@list @t1 @t19 @t41 @t34)) % 152.81/153.18 (define @t58 () (tptp.cons @t1 @t19 @t34)) % 152.81/153.18 (define @t59 () (tptp.infix_plpl @t1 @t41 @t58)) % 152.81/153.18 (define @t60 () (tptp.mem @t1 @t19 @t31)) % 152.81/153.18 (define @t61 () (@list @t1 @t19 @t31)) % 152.81/153.18 (define @t62 () (tptp.num_occ @t1 @t19 @t3)) % 152.81/153.18 (define @t63 () (tptp.num_occ @t1 @t19 @t51)) % 152.81/153.18 (define @t64 () (tptp.num_occ @t1 @t19 @t31)) % 152.81/153.18 (define @t65 () (tptp.num_occ @t1 @t19 @t34)) % 152.81/153.18 (define @t66 () (tptp.num_occ @t1 @t19 @t41)) % 152.81/153.18 (define @t67 () (tptp.cons @t1 @t19 @t17)) % 152.81/153.18 (define @t68 () (forall @t30 (= (tptp.reverse @t1 @t20) (tptp.infix_plpl @t1 (tptp.reverse @t1 @t4) @t67)))) % 152.81/153.18 (define @t69 () (tptp.reverse @t1 @t17)) % 152.81/153.18 (define @t70 () (and (= @t69 @t17) @t68)) % 152.81/153.18 (define @t71 () (forall @t2 @t70)) % 152.81/153.18 (define @t72 () (tptp.cons @t1 @t19 @t41)) % 152.81/153.18 (define @t73 () (forall (@list @t1 @t41 @t34 @t19) (= (tptp.infix_plpl @t1 (tptp.reverse @t1 @t72) @t34) (tptp.infix_plpl @t1 (tptp.reverse @t1 @t41) @t58)))) % 152.81/153.18 (define @t74 () (tptp.reverse @t1 @t31)) % 152.81/153.18 (define @t75 () (tptp.cons @t1 @t19 @t31)) % 152.81/153.18 (define @t76 () (@list @t1 @t31 @t19)) % 152.81/153.18 (define @t77 () (tptp.permut @t1 @t41 @t34)) % 152.81/153.18 (define @t78 () (= @t66 @t65)) % 152.81/153.18 (define @t79 () (@list @t19)) % 152.81/153.18 (define @t80 () (forall @t79 (=> @t54 @t78))) % 152.81/153.18 (define @t81 () (=> @t80 @t77)) % 152.81/153.18 (define @t82 () (forall @t79 @t78)) % 152.81/153.18 (define @t83 () (=> @t77 @t82)) % 152.81/153.18 (define @t84 () (and @t83 @t81)) % 152.81/153.18 (define @t85 () (forall @t49 @t84)) % 152.81/153.18 (define @t86 () (tptp.permut @t1 @t41 @t40)) % 152.81/153.18 (define @t87 () (tptp.permut @t1 @t34 @t40)) % 152.81/153.18 (define @t88 () (=> @t87 @t86)) % 152.81/153.18 (define @t89 () (forall @t45 (=> @t77 @t88))) % 152.81/153.18 (define @t90 () (@var "Y" tptp.uni)) % 152.81/153.18 (define @t91 () (@var "K2" tptp.uni)) % 152.81/153.18 (define @t92 () (@var "K1" tptp.uni)) % 152.81/153.18 (define @t93 () (@var "X" tptp.elt)) % 152.81/153.18 (define @t94 () (@list @t93)) % 152.81/153.18 (define @t95 () (@var "Z" tptp.elt)) % 152.81/153.18 (define @t96 () (@var "Y" tptp.elt)) % 152.81/153.18 (define @t97 () (tptp.le @t93 @t96)) % 152.81/153.18 (define @t98 () (tptp.le @t96 @t93)) % 152.81/153.18 (define @t99 () (@list @t93 @t96)) % 152.81/153.18 (define @t100 () (@var "X" tptp.list_elt)) % 152.81/153.18 (define @t101 () (@var "I" tptp.list_elt)) % 152.81/153.18 (define @t102 () (@var "J" tptp.uni)) % 152.81/153.18 (define @t103 () (tptp.t2tb (tptp.tb2t @t102))) % 152.81/153.18 (define @t104 () (@list @t102)) % 152.81/153.18 (define @t105 () (forall @t104 (= @t103 @t102))) % 152.81/153.18 (define @t106 () (tptp.nil tptp.elt1)) % 152.81/153.18 (define @t107 () (tptp.tb2t @t106)) % 152.81/153.18 (define @t108 () (tptp.t2tb1 @t93)) % 152.81/153.18 (define @t109 () (@var "I" tptp.elt)) % 152.81/153.18 (define @t110 () (tptp.cons tptp.elt1 @t108 @t106)) % 152.81/153.18 (define @t111 () (tptp.tb2t @t110)) % 152.81/153.18 (define @t112 () (@var "L" tptp.list_elt)) % 152.81/153.18 (define @t113 () (tptp.t2tb @t112)) % 152.81/153.18 (define @t114 () (tptp.t2tb1 @t96)) % 152.81/153.18 (define @t115 () (tptp.cons tptp.elt1 @t114 @t113)) % 152.81/153.18 (define @t116 () (tptp.tb2t (tptp.cons tptp.elt1 @t108 @t115))) % 152.81/153.18 (define @t117 () (tptp.sorted (tptp.tb2t @t115))) % 152.81/153.18 (define @t118 () (@list @t93 @t96 @t112)) % 152.81/153.18 (define @t119 () (@var "Z" tptp.list_elt)) % 152.81/153.18 (define @t120 () (tptp.cons tptp.elt1 @t108 @t113)) % 152.81/153.18 (define @t121 () (tptp.sorted @t112)) % 152.81/153.18 (define @t122 () (tptp.mem tptp.elt1 @t114 @t113)) % 152.81/153.18 (define @t123 () (=> @t122 @t97)) % 152.81/153.18 (define @t124 () (@list @t96)) % 152.81/153.18 (define @t125 () (@list @t93 @t112)) % 152.81/153.18 (define @t126 () (@var "L2" tptp.list_elt)) % 152.81/153.18 (define @t127 () (tptp.t2tb @t126)) % 152.81/153.18 (define @t128 () (@var "L1" tptp.list_elt)) % 152.81/153.18 (define @t129 () (tptp.t2tb @t128)) % 152.81/153.18 (define @t130 () (@var "T" tptp.uni)) % 152.81/153.18 (define @t131 () (@var "R" tptp.uni)) % 152.81/153.18 (define @t132 () (@var "S" tptp.uni)) % 152.81/153.18 (define @t133 () (@list @t1 @t131 @t132 @t130)) % 152.81/153.18 (define @t134 () (@var "Acc" tptp.list_elt)) % 152.81/153.18 (define @t135 () (tptp.t2tb @t134)) % 152.81/153.18 (define @t136 () (@var "X1" tptp.elt)) % 152.81/153.18 (define @t137 () (tptp.mem tptp.elt1 @t108 @t135)) % 152.81/153.18 (define @t138 () (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t135)))) % 152.81/153.18 (define @t139 () (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t120)))) % 152.81/153.18 (define @t140 () (tptp.prefix @t1 0 @t31)) % 152.81/153.18 (define @t141 () (forall @t33 (= @t140 @t17))) % 152.81/153.18 (define @t142 () (@var "N" Int)) % 152.81/153.18 (define @t143 () (- @t142 1)) % 152.81/153.18 (define @t144 () (tptp.prefix @t1 @t143 @t31)) % 152.81/153.18 (define @t145 () (tptp.cons @t1 @t19 @t144)) % 152.81/153.18 (define @t146 () (tptp.prefix @t1 @t142 @t75)) % 152.81/153.18 (define @t147 () (= @t146 @t145)) % 152.81/153.18 (define @t148 () (=> (< 0 @t142) @t147)) % 152.81/153.18 (define @t149 () (@list @t1 @t142 @t19 @t31)) % 152.81/153.18 (define @t150 () (forall @t149 @t148)) % 152.81/153.18 (define @t151 () (tptp.abs @t13)) % 152.81/153.18 (define @t152 () (<= 0 @t13)) % 152.81/153.18 (define @t153 () (@list @t13)) % 152.81/153.18 (define @t154 () (@list @t13 @t12)) % 152.81/153.18 (define @t155 () (tptp.mod @t13 @t12)) % 152.81/153.18 (define @t156 () (tptp.div @t13 @t12)) % 152.81/153.18 (define @t157 () (not (= @t12 0))) % 152.81/153.18 (define @t158 () (<= 0 @t156)) % 152.81/153.18 (define @t159 () (< 0 @t12)) % 152.81/153.18 (define @t160 () (and @t152 @t159)) % 152.81/153.18 (define @t161 () (tptp.abs @t12)) % 152.81/153.18 (define @t162 () (<= @t13 0)) % 152.81/153.18 (define @t163 () (and @t152 (< @t13 @t12))) % 152.81/153.18 (define @t164 () (+ (* @t13 @t12) @t11)) % 152.81/153.18 (define @t165 () (and (< 0 @t13) (<= 0 @t12) @t14)) % 152.81/153.18 (define @t166 () (tptp.prefix tptp.elt1 @t142 @t113)) % 152.81/153.18 (define @t167 () (@var "X2" tptp.elt)) % 152.81/153.18 (define @t168 () (tptp.t2tb1 @t167)) % 152.81/153.18 (define @t169 () (tptp.cons tptp.elt1 @t168 @t110)) % 152.81/153.18 (define @t170 () (@var "X4" tptp.elt)) % 152.81/153.18 (define @t171 () (tptp.t2tb1 @t170)) % 152.81/153.18 (define @t172 () (tptp.permut tptp.elt1 (tptp.cons tptp.elt1 @t171 @t169) @t166)) % 152.81/153.18 (define @t173 () (tptp.le @t167 @t170)) % 152.81/153.18 (define @t174 () (not @t173)) % 152.81/153.18 (define @t175 () (tptp.permut tptp.elt1 (tptp.cons tptp.elt1 @t168 (tptp.cons tptp.elt1 @t171 @t110)) @t166)) % 152.81/153.18 (define @t176 () (and (=> @t173 @t175) (=> @t174 @t172))) % 152.81/153.18 (define @t177 () (tptp.le @t93 @t170)) % 152.81/153.18 (define @t178 () (not @t177)) % 152.81/153.18 (define @t179 () (=> @t178 @t176)) % 152.81/153.18 (define @t180 () (tptp.le @t93 @t167)) % 152.81/153.18 (define @t181 () (not @t180)) % 152.81/153.18 (define @t182 () (=> @t181 @t179)) % 152.81/153.18 (define @t183 () (@var "X5" tptp.list_elt)) % 152.81/153.18 (define @t184 () (@var "X3" tptp.list_elt)) % 152.81/153.18 (define @t185 () (= @t184 (tptp.tb2t (tptp.cons tptp.elt1 @t171 (tptp.t2tb @t183))))) % 152.81/153.18 (define @t186 () (@list @t170 @t183)) % 152.81/153.18 (define @t187 () (forall @t186 (=> @t185 @t182))) % 152.81/153.18 (define @t188 () (@var "X1" tptp.list_elt)) % 152.81/153.18 (define @t189 () (= @t188 (tptp.tb2t (tptp.cons tptp.elt1 @t168 (tptp.t2tb @t184))))) % 152.81/153.18 (define @t190 () (=> @t189 @t187)) % 152.81/153.18 (define @t191 () (@list @t167 @t184)) % 152.81/153.18 (define @t192 () (forall @t191 @t190)) % 152.81/153.18 (define @t193 () (= @t112 (tptp.tb2t (tptp.cons tptp.elt1 @t108 (tptp.t2tb @t188))))) % 152.81/153.18 (define @t194 () (=> @t193 @t192)) % 152.81/153.18 (define @t195 () (@list @t93 @t188)) % 152.81/153.18 (define @t196 () (forall @t195 @t194)) % 152.81/153.18 (define @t197 () (= @t142 3)) % 152.81/153.18 (define @t198 () (=> @t197 @t196)) % 152.81/153.18 (define @t199 () (= @t142 2)) % 152.81/153.18 (define @t200 () (not @t199)) % 152.81/153.18 (define @t201 () (=> @t200 @t198)) % 152.81/153.18 (define @t202 () (tptp.length tptp.elt1 @t113)) % 152.81/153.18 (define @t203 () (and (<= 2 @t142) (<= @t142 @t202))) % 152.81/153.18 (define @t204 () (=> @t203 @t201)) % 152.81/153.18 (define @t205 () (@list @t142 @t112)) % 152.81/153.18 (define @t206 () (forall @t205 @t204)) % 152.81/153.18 (define @t207 () (not @t206)) % 152.81/153.18 (define @t208 () (not @t87)) % 152.81/153.18 (define @t209 () (not @t77)) % 152.81/153.18 (define @t210 () (or @t209 @t208 @t86)) % 152.81/153.18 (define @t211 () (@var "BOUND_VARIABLE_9081" tptp.list_elt)) % 152.81/153.18 (define @t212 () (@var "BOUND_VARIABLE_9079" tptp.elt)) % 152.81/153.18 (define @t213 () (tptp.t2tb1 @t212)) % 152.81/153.18 (define @t214 () (@var "BOUND_VARIABLE_9077" tptp.elt)) % 152.81/153.18 (define @t215 () (tptp.t2tb1 @t214)) % 152.81/153.18 (define @t216 () (@var "BOUND_VARIABLE_9075" tptp.elt)) % 152.81/153.18 (define @t217 () (tptp.t2tb1 @t216)) % 152.81/153.18 (define @t218 () (tptp.tb2t (tptp.cons tptp.elt1 @t217 (tptp.t2tb (tptp.tb2t (tptp.cons tptp.elt1 @t215 (tptp.t2tb (tptp.tb2t (tptp.cons tptp.elt1 @t213 (tptp.t2tb @t211)))))))))) % 152.81/153.18 (define @t219 () (tptp.t2tb @t218)) % 152.81/153.18 (define @t220 () (tptp.prefix tptp.elt1 3 @t219)) % 152.81/153.18 (define @t221 () (tptp.cons tptp.elt1 @t217 @t106)) % 152.81/153.18 (define @t222 () (tptp.cons tptp.elt1 @t213 (tptp.cons tptp.elt1 @t215 @t221))) % 152.81/153.18 (define @t223 () (tptp.le @t214 @t212)) % 152.81/153.18 (define @t224 () (tptp.cons tptp.elt1 @t215 (tptp.cons tptp.elt1 @t213 @t221))) % 152.81/153.18 (define @t225 () (not @t223)) % 152.81/153.18 (define @t226 () (and (or @t225 (tptp.permut tptp.elt1 @t224 @t220)) (or @t223 (tptp.permut tptp.elt1 @t222 @t220)))) % 152.81/153.18 (define @t227 () (tptp.le @t216 @t212)) % 152.81/153.18 (define @t228 () (tptp.le @t216 @t214)) % 152.81/153.18 (define @t229 () (not (>= (tptp.length tptp.elt1 @t219) 3))) % 152.81/153.18 (define @t230 () (or @t229 @t228 @t227 @t226)) % 152.81/153.18 (define @t231 () (@list @t216 @t214 @t212 @t211)) % 152.81/153.18 (define @t232 () (forall @t231 @t230)) % 152.81/153.18 (define @t233 () (@quantifiers_skolemize @t232 0)) % 152.81/153.18 (define @t234 () (tptp.t2tb1 @t233)) % 152.81/153.18 (define @t235 () (tptp.cons tptp.elt1 @t234 @t106)) % 152.81/153.18 (define @t236 () (@quantifiers_skolemize @t232 1)) % 152.81/153.18 (define @t237 () (tptp.t2tb1 @t236)) % 152.81/153.18 (define @t238 () (@quantifiers_skolemize @t232 2)) % 152.81/153.18 (define @t239 () (tptp.t2tb1 @t238)) % 152.81/153.18 (define @t240 () (@var "BOUND_VARIABLE_8486" tptp.uni)) % 152.81/153.18 (define @t241 () (@var "BOUND_VARIABLE_8484" tptp.uni)) % 152.81/153.18 (define @t242 () (@var "BOUND_VARIABLE_8482" tptp.ty)) % 152.81/153.18 (define @t243 () (forall (@list @t242 @t241 @t240) (or (not (forall @t79 (or (not (tptp.sort @t242 @t19)) (= (tptp.num_occ @t242 @t19 @t241) (tptp.num_occ @t242 @t19 @t240))))) (tptp.permut @t242 @t241 @t240)))) % 152.81/153.18 (define @t244 () (@var "BOUND_VARIABLE_8471" tptp.uni)) % 152.81/153.18 (define @t245 () (@var "BOUND_VARIABLE_8501" tptp.uni)) % 152.81/153.18 (define @t246 () (@var "BOUND_VARIABLE_8467" tptp.ty)) % 152.81/153.18 (define @t247 () (@var "BOUND_VARIABLE_8469" tptp.uni)) % 152.81/153.18 (define @t248 () (= (tptp.num_occ @t246 @t245 @t247) (tptp.num_occ @t246 @t245 @t244))) % 152.81/153.18 (define @t249 () (not (tptp.permut @t246 @t247 @t244))) % 152.81/153.18 (define @t250 () (or @t249 @t248)) % 152.81/153.18 (define @t251 () (@list @t245)) % 152.81/153.18 (define @t252 () (forall @t251 @t250)) % 152.81/153.18 (define @t253 () (@list @t246 @t247 @t244)) % 152.81/153.18 (define @t254 () (forall @t251 @t248)) % 152.81/153.18 (define @t255 () (or @t249 @t254)) % 152.81/153.18 (define @t256 () (forall @t253 (or @t249 (forall @t79 (= (tptp.num_occ @t246 @t19 @t247) (tptp.num_occ @t246 @t19 @t244)))))) % 152.81/153.18 (define @t257 () (forall @t79 (or (not @t54) @t78))) % 152.81/153.18 (define @t258 () (or (not @t257) @t77)) % 152.81/153.18 (define @t259 () (forall @t49 @t258)) % 152.81/153.18 (define @t260 () (@list @t1 @t41 @t34)) % 152.81/153.18 (define @t261 () (or @t209 @t82)) % 152.81/153.18 (define @t262 () (forall @t49 @t261)) % 152.81/153.18 (define @t263 () (and @t262 @t259)) % 152.81/153.18 (define @t264 () (and @t83 (=> @t257 @t77))) % 152.81/153.18 (define @t265 () (tptp.t2tb (@quantifiers_skolemize @t232 3))) % 152.81/153.18 (define @t266 () (tptp.cons tptp.elt1 @t239 @t265)) % 152.81/153.18 (define @t267 () (tptp.t2tb (tptp.tb2t @t266))) % 152.81/153.18 (define @t268 () (tptp.cons tptp.elt1 @t237 @t267)) % 152.81/153.18 (define @t269 () (tptp.t2tb (tptp.tb2t @t268))) % 152.81/153.18 (define @t270 () (tptp.cons tptp.elt1 @t234 @t269)) % 152.81/153.18 (define @t271 () (tptp.t2tb (tptp.tb2t @t270))) % 152.81/153.18 (define @t272 () (tptp.prefix tptp.elt1 3 @t271)) % 152.81/153.18 (define @t273 () (tptp.cons tptp.elt1 @t237 (tptp.cons tptp.elt1 @t239 @t235))) % 152.81/153.18 (define @t274 () (forall @t79 (or (not (tptp.sort tptp.elt1 @t19)) (= (tptp.num_occ tptp.elt1 @t19 @t273) (tptp.num_occ tptp.elt1 @t19 @t272))))) % 152.81/153.18 (define @t275 () (@quantifiers_skolemize @t274 0)) % 152.81/153.18 (define @t276 () (>= @t142 1)) % 152.81/153.18 (define @t277 () (+ -1 @t142)) % 152.81/153.18 (define @t278 () (= @t146 (tptp.cons @t1 @t19 (tptp.prefix @t1 @t277 @t31)))) % 152.81/153.18 (define @t279 () (* -1 1)) % 152.81/153.18 (define @t280 () (+ @t142 @t279)) % 152.81/153.18 (define @t281 () (+ @t142 1)) % 152.81/153.18 (define @t282 () (>= 0 @t142)) % 152.81/153.18 (define @t283 () (tptp.prefix tptp.elt1 0 @t265)) % 152.81/153.18 (define @t284 () (tptp.prefix tptp.elt1 1 @t266)) % 152.81/153.18 (define @t285 () (= @t284 (tptp.cons tptp.elt1 @t239 @t283))) % 152.81/153.18 (define @t286 () (+ -1 1)) % 152.81/153.18 (define @t287 () (tptp.prefix tptp.elt1 @t286 @t265)) % 152.81/153.18 (define @t288 () (tptp.cons tptp.elt1 @t239 @t287)) % 152.81/153.18 (define @t289 () (= @t284 @t288)) % 152.81/153.18 (define @t290 () (>= 1 1)) % 152.81/153.18 (define @t291 () (not @t290)) % 152.81/153.18 (define @t292 () (or @t291 @t289)) % 152.81/153.18 (define @t293 () (forall @t149 (or (not @t276) @t278))) % 152.81/153.18 (define @t294 () (@list false)) % 152.81/153.18 (define @t295 () (@list @t293)) % 152.81/153.18 (define @t296 () (@var "BOUND_VARIABLE_8433" tptp.ty)) % 152.81/153.18 (define @t297 () (= (tptp.reverse @t296 (tptp.cons @t296 @t19 @t4)) (tptp.infix_plpl @t296 (tptp.reverse @t296 @t4) (tptp.cons @t296 @t19 (tptp.nil @t296))))) % 152.81/153.18 (define @t298 () (forall (@list @t296) (forall @t30 @t297))) % 152.81/153.18 (define @t299 () (@var "BOUND_VARIABLE_8426" tptp.ty)) % 152.81/153.18 (define @t300 () (tptp.nil @t299)) % 152.81/153.18 (define @t301 () (forall (@list @t299) (= @t300 (tptp.reverse @t299 @t300)))) % 152.81/153.18 (define @t302 () (forall @t2 @t68)) % 152.81/153.18 (define @t303 () (@list @t1)) % 152.81/153.18 (define @t304 () (= @t17 @t69)) % 152.81/153.18 (define @t305 () (forall @t2 @t304)) % 152.81/153.18 (define @t306 () (and @t305 @t302)) % 152.81/153.18 (define @t307 () (tptp.prefix tptp.elt1 1 @t267)) % 152.81/153.18 (define @t308 () (@var "BOUND_VARIABLE_8291" tptp.uni)) % 152.81/153.18 (define @t309 () (@var "BOUND_VARIABLE_8289" tptp.ty)) % 152.81/153.18 (define @t310 () (= (tptp.infix_plpl @t309 (tptp.cons @t309 @t19 @t4) @t308) (tptp.cons @t309 @t19 (tptp.infix_plpl @t309 @t4 @t308)))) % 152.81/153.18 (define @t311 () (forall (@list @t309 @t308) (forall @t30 @t310))) % 152.81/153.18 (define @t312 () (@var "BOUND_VARIABLE_8282" tptp.uni)) % 152.81/153.18 (define @t313 () (@var "BOUND_VARIABLE_8280" tptp.ty)) % 152.81/153.18 (define @t314 () (forall (@list @t313 @t312) (= @t312 (tptp.infix_plpl @t313 (tptp.nil @t313) @t312)))) % 152.81/153.18 (define @t315 () (forall @t38 @t35)) % 152.81/153.18 (define @t316 () (@list @t1 @t34)) % 152.81/153.18 (define @t317 () (= @t34 @t36)) % 152.81/153.18 (define @t318 () (forall @t38 @t317)) % 152.81/153.18 (define @t319 () (and @t318 @t315)) % 152.81/153.18 (define @t320 () (tptp.cons tptp.elt1 @t237 @t106)) % 152.81/153.18 (define @t321 () (tptp.cons tptp.elt1 @t239 @t106)) % 152.81/153.18 (define @t322 () (tptp.cons tptp.elt1 @t237 @t307)) % 152.81/153.18 (define @t323 () (tptp.prefix tptp.elt1 2 @t268)) % 152.81/153.18 (define @t324 () (= @t323 @t322)) % 152.81/153.18 (define @t325 () (+ -1 2)) % 152.81/153.18 (define @t326 () (tptp.prefix tptp.elt1 @t325 @t267)) % 152.81/153.18 (define @t327 () (tptp.cons tptp.elt1 @t237 @t326)) % 152.81/153.18 (define @t328 () (= @t323 @t327)) % 152.81/153.18 (define @t329 () (>= 2 1)) % 152.81/153.18 (define @t330 () (not @t329)) % 152.81/153.18 (define @t331 () (or @t330 @t328)) % 152.81/153.18 (define @t332 () (tptp.cons tptp.elt1 @t237 @t235)) % 152.81/153.18 (define @t333 () (tptp.cons tptp.elt1 @t239 @t332)) % 152.81/153.18 (define @t334 () (tptp.num_occ tptp.elt1 @t275 @t333)) % 152.81/153.18 (define @t335 () (tptp.num_occ tptp.elt1 @t275 @t273)) % 152.81/153.18 (define @t336 () (= @t335 @t334)) % 152.81/153.18 (define @t337 () (tptp.permut tptp.elt1 @t273 @t333)) % 152.81/153.18 (define @t338 () (not @t337)) % 152.81/153.18 (define @t339 () (or @t338 @t336)) % 152.81/153.18 (define @t340 () (@list false false)) % 152.81/153.18 (define @t341 () (@list @t337 @t339)) % 152.81/153.18 (define @t342 () (tptp.reverse tptp.elt1 @t235)) % 152.81/153.18 (define @t343 () (tptp.infix_plpl tptp.elt1 @t342 @t106)) % 152.81/153.18 (define @t344 () (tptp.reverse tptp.elt1 @t106)) % 152.81/153.18 (define @t345 () (tptp.infix_plpl tptp.elt1 @t344 @t235)) % 152.81/153.18 (define @t346 () (= @t343 @t345)) % 152.81/153.18 (define @t347 () (@list tptp.elt1 @t106 @t106 @t234)) % 152.81/153.18 (define @t348 () (= @t345 @t343)) % 152.81/153.18 (define @t349 () (tptp.prefix tptp.elt1 2 @t269)) % 152.81/153.18 (define @t350 () (tptp.cons tptp.elt1 @t234 @t349)) % 152.81/153.18 (define @t351 () (tptp.prefix tptp.elt1 3 @t270)) % 152.81/153.18 (define @t352 () (= @t351 @t350)) % 152.81/153.18 (define @t353 () (+ -1 3)) % 152.81/153.18 (define @t354 () (tptp.prefix tptp.elt1 @t353 @t269)) % 152.81/153.18 (define @t355 () (tptp.cons tptp.elt1 @t234 @t354)) % 152.81/153.18 (define @t356 () (= @t351 @t355)) % 152.81/153.18 (define @t357 () (>= 3 1)) % 152.81/153.18 (define @t358 () (not @t357)) % 152.81/153.18 (define @t359 () (or @t358 @t356)) % 152.81/153.18 (define @t360 () (= @t266 @t267)) % 152.81/153.18 (define @t361 () (= @t268 @t269)) % 152.81/153.18 (define @t362 () (= @t270 @t271)) % 152.81/153.18 (define @t363 () (tptp.t2tb @t107)) % 152.81/153.18 (define @t364 () (= @t106 @t363)) % 152.81/153.18 (define @t365 () (= @t106 @t344)) % 152.81/153.18 (define @t366 () (= @t342 @t345)) % 152.81/153.18 (define @t367 () (= @t235 (tptp.infix_plpl tptp.elt1 @t106 @t235))) % 152.81/153.18 (define @t368 () (tptp.cons tptp.elt1 @t237 @t344)) % 152.81/153.18 (define @t369 () (tptp.infix_plpl tptp.elt1 @t368 @t235)) % 152.81/153.18 (define @t370 () (= @t369 (tptp.cons tptp.elt1 @t237 @t345))) % 152.81/153.18 (define @t371 () (tptp.reverse tptp.elt1 @t349)) % 152.81/153.18 (define @t372 () (tptp.reverse tptp.elt1 @t350)) % 152.81/153.18 (define @t373 () (= @t372 (tptp.infix_plpl tptp.elt1 @t371 @t235))) % 152.81/153.18 (define @t374 () (tptp.reverse tptp.elt1 @t321)) % 152.81/153.18 (define @t375 () (= @t374 (tptp.infix_plpl tptp.elt1 @t344 @t321))) % 152.81/153.18 (define @t376 () (tptp.infix_plpl tptp.elt1 @t106 @t320)) % 152.81/153.18 (define @t377 () (= @t320 @t376)) % 152.81/153.18 (define @t378 () (tptp.infix_plpl tptp.elt1 @t106 @t321)) % 152.81/153.18 (define @t379 () (= @t321 @t378)) % 152.81/153.18 (define @t380 () (tptp.infix_plpl tptp.elt1 @t321 @t320)) % 152.81/153.18 (define @t381 () (= @t380 (tptp.cons tptp.elt1 @t239 @t376))) % 152.81/153.18 (define @t382 () (tptp.cons tptp.elt1 @t239 @t320)) % 152.81/153.18 (define @t383 () (tptp.infix_plpl tptp.elt1 @t382 @t235)) % 152.81/153.18 (define @t384 () (= @t383 (tptp.cons tptp.elt1 @t239 (tptp.infix_plpl tptp.elt1 @t320 @t235)))) % 152.81/153.18 (define @t385 () (tptp.reverse tptp.elt1 @t322)) % 152.81/153.18 (define @t386 () (= @t385 (tptp.infix_plpl tptp.elt1 (tptp.reverse tptp.elt1 @t307) @t320))) % 152.81/153.18 (define @t387 () (= @t106 @t283)) % 152.81/153.18 (define @t388 () (tptp.num_occ tptp.elt1 @t275 (tptp.reverse tptp.elt1 @t272))) % 152.81/153.18 (define @t389 () (tptp.num_occ tptp.elt1 @t275 @t272)) % 152.81/153.18 (define @t390 () (= @t389 @t388)) % 152.81/153.18 (define @t391 () (tptp.infix_plpl tptp.elt1 @t235 @t344)) % 152.81/153.18 (define @t392 () (tptp.infix_plpl tptp.elt1 @t371 @t391)) % 152.81/153.18 (define @t393 () (tptp.cons tptp.elt1 @t239 @t363)) % 152.81/153.18 (define @t394 () (tptp.reverse tptp.elt1 @t393)) % 152.81/153.18 (define @t395 () (tptp.infix_plpl tptp.elt1 @t380 @t342)) % 152.81/153.18 (define @t396 () (= @t335 @t389)) % 152.81/153.18 (define @t397 () (and @t360 @t361 @t362 @t364 @t365 @t366 @t352 @t367 @t370 @t373 @t375 @t348 @t336 @t324 @t377 @t379 @t381 @t384 @t386 @t285 @t387 @t390)) % 152.81/153.18 (define @t398 () (or (not (tptp.sort tptp.elt1 @t275)) @t396)) % 152.81/153.18 (define @t399 () (not @t398)) % 152.81/153.18 (define @t400 () (not @t274)) % 152.81/153.18 (define @t401 () (tptp.permut tptp.elt1 @t273 @t272)) % 152.81/153.18 (define @t402 () (or @t400 @t401)) % 152.81/153.18 (define @t403 () (tptp.le @t236 @t238)) % 152.81/153.18 (define @t404 () (or (not @t403) @t401)) % 152.81/153.18 (define @t405 () (not (= @t218 @t218))) % 152.81/153.18 (define @t406 () (or @t229 @t405 @t228 @t227 @t226)) % 152.81/153.18 (define @t407 () (tptp.prefix tptp.elt1 3 @t113)) % 152.81/153.18 (define @t408 () (and (or @t225 (tptp.permut tptp.elt1 @t224 @t407)) (or @t223 (tptp.permut tptp.elt1 @t222 @t407)))) % 152.81/153.18 (define @t409 () (not (= @t112 @t218))) % 152.81/153.18 (define @t410 () (not (>= @t202 3))) % 152.81/153.18 (define @t411 () (or @t409 @t410 @t409 @t228 @t227 @t408)) % 152.81/153.18 (define @t412 () (@list @t112)) % 152.81/153.18 (define @t413 () (or @t410 @t409 @t228 @t227 @t408)) % 152.81/153.18 (define @t414 () (forall @t412 @t413)) % 152.81/153.18 (define @t415 () (forall @t231 @t414)) % 152.81/153.18 (define @t416 () (forall (@list @t216 @t214 @t212 @t211 @t112) @t413)) % 152.81/153.18 (define @t417 () (@list @t112 @t216 @t214 @t212 @t211)) % 152.81/153.18 (define @t418 () (= 3 3)) % 152.81/153.18 (define @t419 () (not @t418)) % 152.81/153.18 (define @t420 () (= 3 2)) % 152.81/153.18 (define @t421 () (* -1 @t202)) % 152.81/153.18 (define @t422 () (+ 3 @t421)) % 152.81/153.18 (define @t423 () (+ @t202 1)) % 152.81/153.18 (define @t424 () (>= @t422 1)) % 152.81/153.18 (define @t425 () (>= 3 2)) % 152.81/153.18 (define @t426 () (not @t425)) % 152.81/153.18 (define @t427 () (or @t426 @t424 @t420 @t419 @t409 @t228 @t227 @t408)) % 152.81/153.18 (define @t428 () (and (or @t225 (tptp.permut tptp.elt1 @t224 @t166)) (or @t223 (tptp.permut tptp.elt1 @t222 @t166)))) % 152.81/153.18 (define @t429 () (not @t197)) % 152.81/153.18 (define @t430 () (+ @t142 @t421)) % 152.81/153.18 (define @t431 () (>= @t430 1)) % 152.81/153.18 (define @t432 () (>= @t142 2)) % 152.81/153.18 (define @t433 () (not @t432)) % 152.81/153.18 (define @t434 () (or @t429 @t433 @t431 @t199 @t429 @t409 @t228 @t227 @t428)) % 152.81/153.18 (define @t435 () (@list @t142)) % 152.81/153.18 (define @t436 () (or @t433 @t431 @t199 @t429 @t409 @t228 @t227 @t428)) % 152.81/153.18 (define @t437 () (forall @t435 @t436)) % 152.81/153.18 (define @t438 () (forall @t417 @t437)) % 152.81/153.18 (define @t439 () (forall (@list @t112 @t216 @t214 @t212 @t211 @t142) @t436)) % 152.81/153.18 (define @t440 () (@list @t142 @t112 @t216 @t214 @t212 @t211)) % 152.81/153.18 (define @t441 () (or @t409 @t228 @t227 @t428)) % 152.81/153.18 (define @t442 () (or @t433 @t431 @t199 @t429 @t441)) % 152.81/153.18 (define @t443 () (forall @t440 @t442)) % 152.81/153.18 (define @t444 () (forall @t231 @t442)) % 152.81/153.18 (define @t445 () (forall @t231 @t441)) % 152.81/153.18 (define @t446 () (@var "BOUND_VARIABLE_9019" tptp.list_elt)) % 152.81/153.18 (define @t447 () (@var "BOUND_VARIABLE_9017" tptp.elt)) % 152.81/153.18 (define @t448 () (@var "BOUND_VARIABLE_9015" tptp.elt)) % 152.81/153.18 (define @t449 () (or @t433 @t431 @t199 @t429 @t445)) % 152.81/153.18 (define @t450 () (tptp.t2tb1 @t448)) % 152.81/153.18 (define @t451 () (tptp.t2tb1 @t447)) % 152.81/153.18 (define @t452 () (tptp.le @t448 @t447)) % 152.81/153.18 (define @t453 () (and (or (not @t452) (tptp.permut tptp.elt1 (tptp.cons tptp.elt1 @t450 (tptp.cons tptp.elt1 @t451 @t110)) @t166)) (or @t452 (tptp.permut tptp.elt1 (tptp.cons tptp.elt1 @t451 (tptp.cons tptp.elt1 @t450 @t110)) @t166)))) % 152.81/153.18 (define @t454 () (tptp.le @t93 @t447)) % 152.81/153.18 (define @t455 () (tptp.le @t93 @t448)) % 152.81/153.18 (define @t456 () (tptp.tb2t (tptp.cons tptp.elt1 @t450 (tptp.t2tb (tptp.tb2t (tptp.cons tptp.elt1 @t451 (tptp.t2tb @t446))))))) % 152.81/153.18 (define @t457 () (not (= @t112 (tptp.tb2t (tptp.cons tptp.elt1 @t108 (tptp.t2tb @t456)))))) % 152.81/153.18 (define @t458 () (or @t457 @t455 @t454 @t453)) % 152.81/153.18 (define @t459 () (@list @t93 @t448 @t447 @t446)) % 152.81/153.18 (define @t460 () (forall @t459 @t458)) % 152.81/153.18 (define @t461 () (or @t433 @t431 @t199 @t429 @t460)) % 152.81/153.18 (define @t462 () (or @t199 @t429 @t460)) % 152.81/153.18 (define @t463 () (=> @t197 @t460)) % 152.81/153.18 (define @t464 () (not @t431)) % 152.81/153.18 (define @t465 () (=> @t200 @t463)) % 152.81/153.18 (define @t466 () (and @t432 @t464)) % 152.81/153.18 (define @t467 () (not (= @t456 @t456))) % 152.81/153.18 (define @t468 () (or @t457 @t467 @t455 @t454 @t453)) % 152.81/153.18 (define @t469 () (not (= @t188 @t456))) % 152.81/153.18 (define @t470 () (not @t193)) % 152.81/153.18 (define @t471 () (or @t469 @t470 @t469 @t455 @t454 @t453)) % 152.81/153.18 (define @t472 () (@list @t188)) % 152.81/153.18 (define @t473 () (or @t470 @t469 @t455 @t454 @t453)) % 152.81/153.18 (define @t474 () (forall @t472 @t473)) % 152.81/153.18 (define @t475 () (forall @t459 @t474)) % 152.81/153.18 (define @t476 () (forall (@list @t93 @t448 @t447 @t446 @t188) @t473)) % 152.81/153.18 (define @t477 () (@list @t93 @t188 @t448 @t447 @t446)) % 152.81/153.18 (define @t478 () (or @t469 @t455 @t454 @t453)) % 152.81/153.18 (define @t479 () (or @t470 @t478)) % 152.81/153.18 (define @t480 () (forall @t477 @t479)) % 152.81/153.18 (define @t481 () (@list @t448 @t447 @t446)) % 152.81/153.18 (define @t482 () (forall @t481 @t479)) % 152.81/153.18 (define @t483 () (forall @t481 @t478)) % 152.81/153.18 (define @t484 () (@var "BOUND_VARIABLE_8972" tptp.list_elt)) % 152.81/153.18 (define @t485 () (@var "BOUND_VARIABLE_8970" tptp.elt)) % 152.81/153.18 (define @t486 () (or @t470 @t483)) % 152.81/153.18 (define @t487 () (tptp.t2tb1 @t485)) % 152.81/153.18 (define @t488 () (tptp.le @t167 @t485)) % 152.81/153.18 (define @t489 () (and (or (not @t488) (tptp.permut tptp.elt1 (tptp.cons tptp.elt1 @t168 (tptp.cons tptp.elt1 @t487 @t110)) @t166)) (or @t488 (tptp.permut tptp.elt1 (tptp.cons tptp.elt1 @t487 @t169) @t166)))) % 152.81/153.18 (define @t490 () (tptp.le @t93 @t485)) % 152.81/153.18 (define @t491 () (tptp.tb2t (tptp.cons tptp.elt1 @t487 (tptp.t2tb @t484)))) % 152.81/153.18 (define @t492 () (not (= @t188 (tptp.tb2t (tptp.cons tptp.elt1 @t168 (tptp.t2tb @t491)))))) % 152.81/153.18 (define @t493 () (or @t492 @t180 @t490 @t489)) % 152.81/153.18 (define @t494 () (@list @t167 @t485 @t484)) % 152.81/153.18 (define @t495 () (forall @t494 @t493)) % 152.81/153.18 (define @t496 () (not (= @t491 @t491))) % 152.81/153.18 (define @t497 () (or @t492 @t180 @t496 @t490 @t489)) % 152.81/153.18 (define @t498 () (not (= @t184 @t491))) % 152.81/153.18 (define @t499 () (not @t189)) % 152.81/153.18 (define @t500 () (or @t498 @t499 @t180 @t498 @t490 @t489)) % 152.81/153.18 (define @t501 () (@list @t184)) % 152.81/153.18 (define @t502 () (or @t499 @t180 @t498 @t490 @t489)) % 152.81/153.18 (define @t503 () (forall @t501 @t502)) % 152.81/153.18 (define @t504 () (forall @t494 @t503)) % 152.81/153.18 (define @t505 () (forall (@list @t167 @t485 @t484 @t184) @t502)) % 152.81/153.18 (define @t506 () (@list @t167 @t184 @t485 @t484)) % 152.81/153.18 (define @t507 () (or @t498 @t490 @t489)) % 152.81/153.18 (define @t508 () (or @t499 @t180 @t507)) % 152.81/153.18 (define @t509 () (forall @t506 @t508)) % 152.81/153.18 (define @t510 () (@list @t485 @t484)) % 152.81/153.18 (define @t511 () (forall @t510 @t508)) % 152.81/153.18 (define @t512 () (forall @t510 @t507)) % 152.81/153.18 (define @t513 () (or @t499 @t180 @t512)) % 152.81/153.18 (define @t514 () (and (or @t174 @t175) (or @t173 @t172))) % 152.81/153.18 (define @t515 () (not @t185)) % 152.81/153.18 (define @t516 () (or @t515 @t177 @t514)) % 152.81/153.18 (define @t517 () (forall @t186 @t516)) % 152.81/153.18 (define @t518 () (or @t499 @t180 @t517)) % 152.81/153.18 (define @t519 () (or @t180 @t517)) % 152.81/153.18 (define @t520 () (or @t180 @t516)) % 152.81/153.18 (define @t521 () (or @t515 @t180 @t177 @t514)) % 152.81/153.18 (define @t522 () (or @t180 @t177 @t514)) % 152.81/153.18 (define @t523 () (>= @t142 @t423)) % 152.81/153.18 (define @t524 () (tptp.permut tptp.elt1 @t333 @t272)) % 152.81/153.18 (define @t525 () (or @t403 @t524)) % 152.81/153.18 (define @t526 () (and @t404 @t525)) % 152.81/153.18 (define @t527 () (or (not (>= (tptp.length tptp.elt1 @t271) 3)) (tptp.le @t233 @t236) (tptp.le @t233 @t238) @t526)) % 152.81/153.18 (define @t528 () (@list true)) % 152.81/153.18 (define @t529 () (@list true false)) % 152.81/153.18 (define @t530 () (not @t401)) % 152.81/153.18 (define @t531 () (tptp.permut tptp.elt1 @t333 @t273)) % 152.81/153.18 (define @t532 () (not @t531)) % 152.81/153.18 (define @t533 () (or @t532 @t530 @t524)) % 152.81/153.18 (define @t534 () (not @t533)) % 152.81/153.18 (define @t535 () (forall @t45 @t210)) % 152.81/153.18 (assume @p1 (forall @t2 (tptp.sort @t1 (tptp.witness @t1)))) % 152.81/153.18 (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort @t1 (tptp.match_bool @t1 @t5 @t4 @t3)))) % 152.81/153.18 (assume @p3 (forall @t8 (=> (tptp.sort @t1 @t6) (= (tptp.match_bool @t1 tptp.true @t6 @t7) @t6)))) % 152.81/153.18 (assume @p4 (forall @t8 (=> (tptp.sort @t1 @t7) (= (tptp.match_bool @t1 tptp.false @t6 @t7) @t7)))) % 152.81/153.18 (assume @p5 (not (= tptp.true tptp.false))) % 152.81/153.18 (assume @p6 (forall (@list @t9) (or (= @t9 tptp.true) (= @t9 tptp.false)))) % 152.81/153.18 (assume @p7 (forall (@list @t10) (= @t10 tptp.tuple02))) % 152.81/153.18 (assume @p8 (forall @t16 (=> @t15 (=> @t14 (<= (* @t13 @t11) (* @t12 @t11)))))) % 152.81/153.18 (assume @p9 (forall @t2 (tptp.sort @t18 @t17))) % 152.81/153.18 (assume @p10 (forall @t21 (tptp.sort @t18 @t20))) % 152.81/153.18 (assume @p11 (forall (@list @t1 @t22 @t19 @t4 @t3) (tptp.sort @t22 (tptp.match_list @t22 @t1 @t19 @t4 @t3)))) % 152.81/153.18 (assume @p12 (forall (@list @t1 @t22 @t6 @t7) (=> (tptp.sort @t22 @t6) (= (tptp.match_list @t22 @t1 @t17 @t6 @t7) @t6)))) % 152.81/153.18 (assume @p13 (forall (@list @t1 @t22 @t6 @t7 @t24 @t23) (=> (tptp.sort @t22 @t7) (= (tptp.match_list @t22 @t1 @t25 @t6 @t7) @t7)))) % 152.81/153.18 (assume @p14 (forall (@list @t1 @t27 @t26) (not (= @t17 (tptp.cons @t1 @t27 @t26))))) % 152.81/153.18 (assume @p15 (forall @t28 (tptp.sort @t1 (tptp.cons_proj_1 @t1 @t19)))) % 152.81/153.18 (assume @p16 (forall @t29 (=> (tptp.sort @t1 @t24) (= (tptp.cons_proj_1 @t1 @t25) @t24)))) % 152.81/153.18 (assume @p17 (forall @t28 (tptp.sort @t18 (tptp.cons_proj_2 @t1 @t19)))) % 152.81/153.18 (assume @p18 (forall @t29 (= (tptp.cons_proj_2 @t1 @t25) @t23))) % 152.81/153.18 (assume @p19 (forall (@list @t1 @t24) (or (= @t24 @t17) (= @t24 (tptp.cons @t1 (tptp.cons_proj_1 @t1 @t24) (tptp.cons_proj_2 @t1 @t24)))))) % 152.81/153.18 (assume @p20 (forall @t2 (and (= (tptp.length @t1 @t17) 0) (forall @t30 (= (tptp.length @t1 @t20) (+ 1 (tptp.length @t1 @t4))))))) % 152.81/153.18 (assume @p21 (forall @t33 (<= 0 @t32))) % 152.81/153.18 (assume @p22 (forall @t33 (= (= @t32 0) (= @t31 @t17)))) % 152.81/153.18 (assume @p23 (forall @t21 (tptp.sort @t18 (tptp.infix_plpl @t1 @t19 @t4)))) % 152.81/153.18 (assume @p24 @t39) % 152.81/153.18 (assume @p25 (forall @t45 (= @t44 @t43))) % 152.81/153.18 (assume @p26 (forall @t33 (= (tptp.infix_plpl @t1 @t31 @t17) @t31))) % 152.81/153.18 (assume @p27 (forall @t49 (= (tptp.length @t1 @t42) @t48))) % 152.81/153.18 (assume @p28 (forall @t28 (=> @t54 (and (not (tptp.mem @t1 @t19 @t17)) (forall @t53 (=> @t52 (= (tptp.mem @t1 @t19 @t51) (or @t50 (tptp.mem @t1 @t19 @t3))))))))) % 152.81/153.18 (assume @p29 (forall @t57 (= (tptp.mem @t1 @t19 @t42) (or @t56 @t55)))) % 152.81/153.18 (assume @p30 (forall @t61 (=> @t60 (exists (@list @t41 @t34) (and (tptp.sort @t18 @t41) (tptp.sort @t18 @t34) (= @t31 @t59)))))) % 152.81/153.18 (assume @p31 (forall @t28 (=> @t54 (and (= (tptp.num_occ @t1 @t19 @t17) 0) (forall @t53 (=> @t52 (and (=> @t50 (= @t63 (+ 1 @t62))) (=> (not @t50) (= @t63 (+ 0 @t62)))))))))) % 152.81/153.18 (assume @p32 (forall @t61 (= @t60 (< 0 @t64)))) % 152.81/153.18 (assume @p33 (forall @t57 (= (tptp.num_occ @t1 @t19 @t42) (+ @t66 @t65)))) % 152.81/153.18 (assume @p34 (forall @t28 (tptp.sort @t18 (tptp.reverse @t1 @t19)))) % 152.81/153.18 (assume @p35 @t71) % 152.81/153.18 (assume @p36 @t73) % 152.81/153.18 (assume @p37 (forall @t76 (= (tptp.reverse @t1 @t75) (tptp.infix_plpl @t1 @t74 @t67)))) % 152.81/153.18 (assume @p38 (forall @t33 (= (tptp.reverse @t1 @t74) @t31))) % 152.81/153.18 (assume @p39 (forall @t76 (= @t60 (tptp.mem @t1 @t19 @t74)))) % 152.81/153.18 (assume @p40 (forall @t33 (= (tptp.length @t1 @t74) @t32))) % 152.81/153.18 (assume @p41 (forall @t61 (= @t64 (tptp.num_occ @t1 @t19 @t74)))) % 152.81/153.18 (assume @p42 @t85) % 152.81/153.18 (assume @p43 (forall @t33 (tptp.permut @t1 @t31 @t31))) % 152.81/153.18 (assume @p44 (forall @t49 (=> @t77 (tptp.permut @t1 @t34 @t41)))) % 152.81/153.18 (assume @p45 @t89) % 152.81/153.18 (assume @p46 (forall @t57 (=> @t77 (tptp.permut @t1 @t72 @t58)))) % 152.81/153.18 (assume @p47 (forall (@list @t1 @t19 @t90 @t31) (tptp.permut @t1 (tptp.cons @t1 @t19 (tptp.cons @t1 @t90 @t31)) (tptp.cons @t1 @t90 @t75)))) % 152.81/153.18 (assume @p48 (forall @t57 (tptp.permut @t1 (tptp.infix_plpl @t1 @t72 @t34) @t59))) % 152.81/153.18 (assume @p49 (forall @t45 (tptp.permut @t1 @t43 @t44))) % 152.81/153.18 (assume @p50 (forall (@list @t1 @t41 @t34 @t92 @t91) (=> (tptp.permut @t1 @t41 @t92) (=> (tptp.permut @t1 @t34 @t91) (tptp.permut @t1 @t42 (tptp.infix_plpl @t1 @t92 @t91)))))) % 152.81/153.18 (assume @p51 (forall @t49 (tptp.permut @t1 @t42 (tptp.infix_plpl @t1 @t34 @t41)))) % 152.81/153.18 (assume @p52 (forall @t57 (=> @t77 (=> @t56 @t55)))) % 152.81/153.18 (assume @p53 (forall @t49 (=> @t77 (= @t47 @t46)))) % 152.81/153.18 (assume @p54 (forall @t94 (tptp.le @t93 @t93))) % 152.81/153.18 (assume @p55 (forall (@list @t93 @t96 @t95) (=> @t97 (=> (tptp.le @t96 @t95) (tptp.le @t93 @t95))))) % 152.81/153.18 (assume @p56 (forall @t99 (or @t97 @t98))) % 152.81/153.18 (assume @p57 (forall (@list @t100) (tptp.sort (tptp.list tptp.elt1) (tptp.t2tb @t100)))) % 152.81/153.18 (assume @p58 (forall (@list @t101) (= (tptp.tb2t (tptp.t2tb @t101)) @t101))) % 152.81/153.18 (assume @p59 @t105) % 152.81/153.18 (assume @p60 (tptp.sorted @t107)) % 152.81/153.18 (assume @p61 (forall @t94 (tptp.sort tptp.elt1 @t108))) % 152.81/153.18 (assume @p62 (forall (@list @t109) (= (tptp.tb2t1 (tptp.t2tb1 @t109)) @t109))) % 152.81/153.18 (assume @p63 (forall @t104 (=> (tptp.sort tptp.elt1 @t102) (= (tptp.t2tb1 (tptp.tb2t1 @t102)) @t102)))) % 152.81/153.18 (assume @p64 (forall @t94 (tptp.sorted @t111))) % 152.81/153.18 (assume @p65 (forall @t118 (=> @t97 (=> @t117 (tptp.sorted @t116))))) % 152.81/153.18 (assume @p66 (forall (@list @t119) (=> (tptp.sorted @t119) (or (= @t119 @t107) (exists @t94 (= @t119 @t111)) (exists @t118 (and @t97 @t117 (= @t119 @t116))))))) % 152.81/153.18 (assume @p67 (forall @t125 (= (and (forall @t124 @t123) @t121) (tptp.sorted (tptp.tb2t @t120))))) % 152.81/153.18 (assume @p68 (forall (@list @t128 @t126) (= (and (tptp.sorted @t128) (tptp.sorted @t126) (forall @t99 (=> (tptp.mem tptp.elt1 @t108 @t129) (=> (tptp.mem tptp.elt1 @t114 @t127) @t97)))) (tptp.sorted (tptp.tb2t (tptp.infix_plpl tptp.elt1 @t129 @t127)))))) % 152.81/153.18 (assume @p69 (forall @t21 (tptp.sort @t18 (tptp.rev_append @t1 @t19 @t4)))) % 152.81/153.18 (assume @p70 (forall (@list @t1 @t130) (and (= (tptp.rev_append @t1 @t17 @t130) @t130) (forall (@list @t19 @t131) (= (tptp.rev_append @t1 (tptp.cons @t1 @t19 @t131) @t130) (tptp.rev_append @t1 @t131 (tptp.cons @t1 @t19 @t130))))))) % 152.81/153.18 (assume @p71 (forall @t133 (= (tptp.rev_append @t1 (tptp.infix_plpl @t1 @t131 @t132) @t130) (tptp.rev_append @t1 @t132 (tptp.rev_append @t1 @t131 @t130))))) % 152.81/153.18 (assume @p72 (forall @t133 (= (tptp.rev_append @t1 @t131 (tptp.infix_plpl @t1 @t132 @t130)) (tptp.rev_append @t1 (tptp.rev_append @t1 @t132 @t131) @t130)))) % 152.81/153.18 (assume @p73 (forall (@list @t1 @t132 @t130) (= (tptp.length @t1 (tptp.rev_append @t1 @t132 @t130)) (+ (tptp.length @t1 @t132) (tptp.length @t1 @t130))))) % 152.81/153.18 (assume @p74 (forall (@list @t1 @t131 @t132) (= (tptp.rev_append @t1 @t131 @t132) (tptp.infix_plpl @t1 (tptp.reverse @t1 @t131) @t132)))) % 152.81/153.18 (assume @p75 (forall (@list @t134 @t136) (=> @t138 (=> (forall @t94 (=> @t137 (tptp.le @t93 @t136))) (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 (tptp.cons tptp.elt1 (tptp.t2tb1 @t136) @t135)))))))) % 152.81/153.18 (assume @p76 (forall (@list @t134 @t112) (=> @t138 (=> @t121 (=> (forall @t99 (=> @t137 @t123)) (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 (tptp.rev_append tptp.elt1 @t113 @t135))))))))) % 152.81/153.18 (assume @p77 (forall @t125 (=> @t139 (forall @t124 (=> @t122 @t98))))) % 152.81/153.18 (assume @p78 (forall @t125 (=> @t139 (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t113)))))) % 152.81/153.18 (assume @p79 (forall (@list @t1 @t13 @t4) (tptp.sort @t18 (tptp.prefix @t1 @t13 @t4)))) % 152.81/153.18 (assume @p80 @t141) % 152.81/153.18 (assume @p81 @t150) % 152.81/153.18 (assume @p82 (forall (@list @t1 @t142 @t31) (=> (and (<= 0 @t142) (<= @t142 @t32)) (= (tptp.length @t1 (tptp.prefix @t1 @t142 @t31)) @t142)))) % 152.81/153.18 (assume @p83 (forall (@list @t1 @t142 @t41 @t34) (=> (and (<= @t47 @t142) (<= @t142 @t48)) (= (tptp.prefix @t1 @t142 @t42) (tptp.infix_plpl @t1 (tptp.prefix @t1 @t47 @t41) (tptp.prefix @t1 (- @t142 @t47) @t34)))))) % 152.81/153.18 (assume @p84 (forall @t153 (and (=> @t152 (= @t151 @t13)) (=> (not @t152) (= @t151 (- @t13)))))) % 152.81/153.18 (assume @p85 (forall @t154 (= (<= @t151 @t12) (and (<= (- @t12) @t13) @t15)))) % 152.81/153.18 (assume @p86 (forall @t153 (<= 0 @t151))) % 152.81/153.18 (assume @p87 (forall @t154 (=> @t157 (= @t13 (+ (* @t12 @t156) @t155))))) % 152.81/153.18 (assume @p88 (forall @t154 (=> @t160 (and @t158 (<= @t156 @t13))))) % 152.81/153.18 (assume @p89 (forall @t154 (=> @t157 (and (< (- @t161) @t155) (< @t155 @t161))))) % 152.81/153.18 (assume @p90 (forall @t154 (=> @t160 @t158))) % 152.81/153.18 (assume @p91 (forall @t154 (=> (and @t162 @t159) (<= @t156 0)))) % 152.81/153.18 (assume @p92 (forall @t154 (=> (and @t152 @t157) (<= 0 @t155)))) % 152.81/153.18 (assume @p93 (forall @t154 (=> (and @t162 @t157) (<= @t155 0)))) % 152.81/153.18 (assume @p94 (forall @t154 (=> @t157 (<= (tptp.abs (* @t156 @t12)) @t151)))) % 152.81/153.18 (assume @p95 (forall @t153 (= (tptp.div @t13 1) @t13))) % 152.81/153.18 (assume @p96 (forall @t153 (= (tptp.mod @t13 1) 0))) % 152.81/153.18 (assume @p97 (forall @t154 (=> @t163 (= @t156 0)))) % 152.81/153.18 (assume @p98 (forall @t154 (=> @t163 (= @t155 @t13)))) % 152.81/153.18 (assume @p99 (forall @t16 (=> @t165 (= (tptp.div @t164 @t13) (+ @t12 (tptp.div @t11 @t13)))))) % 152.81/153.18 (assume @p100 (forall @t16 (=> @t165 (= (tptp.mod @t164 @t13) (tptp.mod @t11 @t13))))) % 152.81/153.18 (assume @p101 @t207) % 152.81/153.18 (assume @p102 true) % 152.81/153.18 (step @p103 :rule aci_norm :args ((= (or @t209 (or @t208 @t86)) @t210))) % 152.81/153.18 (step @p104 :rule bool-impl-elim :args (@t87 @t86)) % 152.81/153.18 (step @p105 :rule refl :args (@t209)) % 152.81/153.18 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t209 @t88))) % 152.81/153.18 (step @p107 :rule trans :premises (@p106 @p103)) % 152.81/153.18 (step @p108 :rule bool-impl-elim :args (@t77 @t88)) % 152.81/153.18 (step @p109 :rule trans :premises (@p108 @p107)) % 152.81/153.18 (step @p110 :rule cong :premises (@p109) :args (@t89)) % 152.81/153.18 (step @p111 :rule eq_resolve :premises (@p45 @p110)) % 152.81/153.18 (step @p112 :rule instantiate :premises (@p47) :args ((@list tptp.elt1 @t239 @t237 @t235))) % 152.81/153.18 (step @p113 :rule refl :args (@t243)) % 152.81/153.18 (step @p114 :rule quant-merge-prenex :args ((= (forall @t253 @t252) (forall (@list @t246 @t247 @t244 @t245) @t250)))) % 152.81/153.18 (step @p115 :rule alpha_equiv :args (@t254 (@list @t245) (@list @t19))) % 152.81/153.18 (step @p116 :rule refl :args (@t249)) % 152.81/153.18 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t255)) % 152.81/153.18 (step @p118 :rule quant-miniscope-or :args ((= @t252 @t255))) % 152.81/153.18 (step @p119 :rule trans :premises (@p118 @p117)) % 152.81/153.18 (step @p120 :rule symm :premises (@p119)) % 152.81/153.18 (step @p121 :rule cong :premises (@p120) :args (@t256)) % 152.81/153.18 (step @p122 :rule trans :premises (@p121 @p114)) % 152.81/153.18 (step @p123 :rule nary_cong :premises (@p122 @p113) :args ((and @t256 @t243))) % 152.81/153.18 (step @p124 :rule alpha_equiv :args (@t259 @t260 (@list @t242 @t241 @t240))) % 152.81/153.18 (step @p125 :rule alpha_equiv :args (@t262 @t260 (@list @t246 @t247 @t244))) % 152.81/153.18 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t263)) % 152.81/153.18 (step @p127 :rule quant-miniscope-and :args ((= (forall @t49 (and @t261 @t258)) @t263))) % 152.81/153.18 (step @p128 :rule trans :premises (@p127 @p126)) % 152.81/153.18 (step @p129 :rule trans :premises (@p128 @p123)) % 152.81/153.18 (step @p130 :rule bool-impl-elim :args (@t257 @t77)) % 152.81/153.18 (step @p131 :rule bool-impl-elim :args (@t77 @t82)) % 152.81/153.18 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t264)) % 152.81/153.18 (step @p133 :rule cong :premises (@p132) :args ((forall @t49 @t264))) % 152.81/153.18 (step @p134 :rule trans :premises (@p133 @p129)) % 152.81/153.18 (step @p135 :rule refl :args (@t77)) % 152.81/153.18 (step @p136 :rule bool-impl-elim :args (@t54 @t78)) % 152.81/153.18 (step @p137 :rule cong :premises (@p136) :args (@t80)) % 152.81/153.18 (step @p138 :rule cong :premises (@p137 @p135) :args (@t81)) % 152.81/153.18 (step @p139 :rule refl :args (@t83)) % 152.81/153.18 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t84)) % 152.81/153.18 (step @p141 :rule cong :premises (@p140) :args (@t85)) % 152.81/153.18 (step @p142 :rule trans :premises (@p141 @p134)) % 152.81/153.18 (step @p143 :rule eq_resolve :premises (@p42 @p142)) % 152.81/153.18 (step @p144 :rule and_elim :premises (@p143) :args (1)) % 152.81/153.18 (step @p145 :rule instantiate :premises (@p144) :args ((@list tptp.elt1 @t273 @t272))) % 152.81/153.18 (step @p146 :rule instantiate :premises (@p41) :args ((@list tptp.elt1 @t275 @t272))) % 152.81/153.18 (step @p147 :rule eq-symm :args (@t140 @t17)) % 152.81/153.18 (step @p148 :rule cong :premises (@p147) :args (@t141)) % 152.81/153.18 (step @p149 :rule eq_resolve :premises (@p80 @p148)) % 152.81/153.18 (step @p150 :rule instantiate :premises (@p149) :args ((@list tptp.elt1 @t265))) % 152.81/153.18 (step @p151 :rule bool-impl-elim :args (@t276 @t278)) % 152.81/153.18 (step @p152 :rule cong :premises (@p151) :args ((forall @t149 (=> @t276 @t278)))) % 152.81/153.18 (step @p153 :rule refl :args (@t31)) % 152.81/153.18 (step @p154 :rule arith_poly_norm :args ((= (+ @t142 -1) @t277))) % 152.81/153.18 (step @p155 :rule evaluate :args (@t279)) % 152.81/153.18 (step @p156 :rule refl :args (@t142)) % 152.81/153.18 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t280)) % 152.81/153.18 (step @p158 :rule trans :premises (@p157 @p154)) % 152.81/153.18 (step @p159 :rule arith_poly_norm :args ((= @t143 @t280))) % 152.81/153.18 (step @p160 :rule trans :premises (@p159 @p158)) % 152.81/153.18 (step @p161 :rule refl :args (@t1)) % 152.81/153.18 (step @p162 :rule cong :premises (@p161 @p160 @p153) :args (@t144)) % 152.81/153.18 (step @p163 :rule refl :args (@t19)) % 152.81/153.18 (step @p164 :rule cong :premises (@p161 @p163 @p162) :args (@t145)) % 152.81/153.18 (step @p165 :rule refl :args (@t146)) % 152.81/153.18 (step @p166 :rule cong :premises (@p165 @p164) :args (@t147)) % 152.81/153.18 (step @p167 :rule bool-double-not-elim :args (@t276)) % 152.81/153.18 (step @p168 :rule arith_poly_norm :args ((= (* -1 (- 1 @t281)) (* -1 (- 0 @t142))))) % 152.81/153.18 (step @p169 :rule arith_poly_norm_rel :premises (@p168) :args ((= (>= 1 @t281) @t282))) % 152.81/153.18 (step @p170 :rule arith-geq-tighten :args (@t142 1)) % 152.81/153.18 (step @p171 :rule trans :premises (@p170 @p169)) % 152.81/153.18 (step @p172 :rule symm :premises (@p171)) % 152.81/153.18 (step @p173 :rule cong :premises (@p172) :args ((not @t282))) % 152.81/153.18 (step @p174 :rule trans :premises (@p173 @p167)) % 152.81/153.18 (step @p175 :rule arith-elim-lt :args (0 @t142)) % 152.81/153.18 (step @p176 :rule trans :premises (@p175 @p174)) % 152.81/153.18 (step @p177 :rule cong :premises (@p176 @p166) :args (@t148)) % 152.81/153.18 (step @p178 :rule cong :premises (@p177) :args (@t150)) % 152.81/153.18 (step @p179 :rule trans :premises (@p178 @p152)) % 152.81/153.18 (step @p180 :rule eq_resolve :premises (@p81 @p179)) % 152.81/153.18 (step @p181 :rule aci_norm :args ((= (or false @t285) @t285))) % 152.81/153.18 (step @p182 :rule refl :args (@t265)) % 152.81/153.18 (step @p183 :rule evaluate :args (@t286)) % 152.81/153.18 (step @p184 :rule refl :args (tptp.elt1)) % 152.81/153.18 (step @p185 :rule cong :premises (@p184 @p183 @p182) :args (@t287)) % 152.81/153.18 (step @p186 :rule refl :args (@t239)) % 152.81/153.18 (step @p187 :rule cong :premises (@p184 @p186 @p185) :args (@t288)) % 152.81/153.18 (step @p188 :rule refl :args (@t284)) % 152.81/153.18 (step @p189 :rule cong :premises (@p188 @p187) :args (@t289)) % 152.81/153.18 (step @p190 :rule evaluate :args ((not true))) % 152.81/153.18 (step @p191 :rule evaluate :args (@t290)) % 152.81/153.18 (step @p192 :rule cong :premises (@p191) :args (@t291)) % 152.81/153.18 (step @p193 :rule trans :premises (@p192 @p190)) % 152.81/153.18 (step @p194 :rule nary_cong :premises (@p193 @p189) :args (@t292)) % 152.81/153.18 (step @p195 :rule trans :premises (@p194 @p181)) % 152.81/153.18 (step @p196 :rule refl :args (@t293)) % 152.81/153.18 (step @p197 :rule cong :premises (@p196 @p195) :args ((=> @t293 @t292))) % 152.81/153.18 (assume-push @p693 @t293) % 152.81/153.18 (step @p199 :rule instantiate :premises (@p180) :args ((@list tptp.elt1 1 @t239 @t265))) % 152.81/153.18 (step-pop @p694 :rule scope :premises (@p199)) % 152.81/153.18 (step @p200 :rule process_scope :premises (@p694) :args (@t292)) % 152.81/153.18 (step @p202 :rule eq_resolve :premises (@p200 @p197)) % 152.81/153.18 (step @p203 :rule implies_elim :premises (@p202)) % 152.81/153.18 (step @p204 :rule chain_m_resolution :premises (@p203 @p180) :args (@t285 @t294 @t295)) % 152.81/153.18 (step @p205 :rule quant-merge-prenex :args ((= @t298 (forall (@list @t296 @t19 @t4) @t297)))) % 152.81/153.18 (step @p206 :rule refl :args (@t301)) % 152.81/153.18 (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((and @t301 @t298))) % 152.81/153.18 (step @p208 :rule alpha_equiv :args (@t302 @t303 (@list @t296))) % 152.81/153.18 (step @p209 :rule alpha_equiv :args (@t305 @t303 (@list @t299))) % 152.81/153.18 (step @p210 :rule nary_cong :premises (@p209 @p208) :args (@t306)) % 152.81/153.18 (step @p211 :rule quant-miniscope-and :args ((= (forall @t2 (and @t304 @t68)) @t306))) % 152.81/153.18 (step @p212 :rule trans :premises (@p211 @p210)) % 152.81/153.18 (step @p213 :rule trans :premises (@p212 @p207)) % 152.81/153.18 (step @p214 :rule refl :args (@t68)) % 152.81/153.18 (step @p215 :rule eq-symm :args (@t69 @t17)) % 152.81/153.18 (step @p216 :rule nary_cong :premises (@p215 @p214) :args (@t70)) % 152.81/153.18 (step @p217 :rule cong :premises (@p216) :args (@t71)) % 152.81/153.18 (step @p218 :rule trans :premises (@p217 @p213)) % 152.81/153.18 (step @p219 :rule eq_resolve :premises (@p35 @p218)) % 152.81/153.18 (step @p220 :rule and_elim :premises (@p219) :args (1)) % 152.81/153.18 (step @p221 :rule instantiate :premises (@p220) :args ((@list tptp.elt1 @t237 @t307))) % 152.81/153.18 (step @p222 :rule quant-merge-prenex :args ((= @t311 (forall (@list @t309 @t308 @t19 @t4) @t310)))) % 152.81/153.18 (step @p223 :rule refl :args (@t314)) % 152.81/153.18 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((and @t314 @t311))) % 152.81/153.18 (step @p225 :rule alpha_equiv :args (@t315 @t316 (@list @t309 @t308))) % 152.81/153.18 (step @p226 :rule alpha_equiv :args (@t318 @t316 (@list @t313 @t312))) % 152.81/153.18 (step @p227 :rule nary_cong :premises (@p226 @p225) :args (@t319)) % 152.81/153.18 (step @p228 :rule quant-miniscope-and :args ((= (forall @t38 (and @t317 @t35)) @t319))) % 152.81/153.18 (step @p229 :rule trans :premises (@p228 @p227)) % 152.81/153.18 (step @p230 :rule trans :premises (@p229 @p224)) % 152.81/153.18 (step @p231 :rule refl :args (@t35)) % 152.81/153.18 (step @p232 :rule eq-symm :args (@t36 @t34)) % 152.81/153.18 (step @p233 :rule nary_cong :premises (@p232 @p231) :args (@t37)) % 152.81/153.18 (step @p234 :rule cong :premises (@p233) :args (@t39)) % 152.81/153.18 (step @p235 :rule trans :premises (@p234 @p230)) % 152.81/153.18 (step @p236 :rule eq_resolve :premises (@p24 @p235)) % 152.81/153.18 (step @p237 :rule and_elim :premises (@p236) :args (1)) % 152.81/153.18 (step @p238 :rule instantiate :premises (@p237) :args ((@list tptp.elt1 @t235 @t239 @t320))) % 152.81/153.18 (step @p239 :rule instantiate :premises (@p237) :args ((@list tptp.elt1 @t320 @t239 @t106))) % 152.81/153.18 (step @p240 :rule and_elim :premises (@p236) :args (0)) % 152.81/153.18 (step @p241 :rule instantiate :premises (@p240) :args ((@list tptp.elt1 @t321))) % 152.81/153.18 (step @p242 :rule instantiate :premises (@p240) :args ((@list tptp.elt1 @t320))) % 152.81/153.18 (step @p243 :rule aci_norm :args ((= (or false @t324) @t324))) % 152.81/153.18 (step @p244 :rule refl :args (@t267)) % 152.81/153.18 (step @p245 :rule evaluate :args (@t325)) % 152.81/153.18 (step @p246 :rule cong :premises (@p184 @p245 @p244) :args (@t326)) % 152.81/153.18 (step @p247 :rule refl :args (@t237)) % 152.81/153.18 (step @p248 :rule cong :premises (@p184 @p247 @p246) :args (@t327)) % 152.81/153.18 (step @p249 :rule refl :args (@t323)) % 152.81/153.18 (step @p250 :rule cong :premises (@p249 @p248) :args (@t328)) % 152.81/153.18 (step @p251 :rule evaluate :args (@t329)) % 152.81/153.18 (step @p252 :rule cong :premises (@p251) :args (@t330)) % 152.81/153.18 (step @p253 :rule trans :premises (@p252 @p190)) % 152.81/153.18 (step @p254 :rule nary_cong :premises (@p253 @p250) :args (@t331)) % 152.81/153.18 (step @p255 :rule trans :premises (@p254 @p243)) % 152.81/153.18 (step @p256 :rule cong :premises (@p196 @p255) :args ((=> @t293 @t331))) % 152.81/153.18 (assume-push @p695 @t293) % 152.81/153.18 (step @p258 :rule instantiate :premises (@p180) :args ((@list tptp.elt1 2 @t237 @t267))) % 152.81/153.18 (step-pop @p696 :rule scope :premises (@p258)) % 152.81/153.18 (step @p259 :rule process_scope :premises (@p696) :args (@t331)) % 152.81/153.18 (step @p261 :rule eq_resolve :premises (@p259 @p256)) % 152.81/153.18 (step @p262 :rule implies_elim :premises (@p261)) % 152.81/153.18 (step @p263 :rule chain_m_resolution :premises (@p262 @p180) :args (@t324 @t294 @t295)) % 152.81/153.18 (step @p264 :rule and_elim :premises (@p143) :args (0)) % 152.81/153.18 (step @p265 :rule instantiate :premises (@p264) :args ((@list tptp.elt1 @t273 @t333 @t275))) % 152.81/153.18 (step @p266 :rule instantiate :premises (@p47) :args ((@list tptp.elt1 @t237 @t239 @t235))) % 152.81/153.18 (step @p267 :rule cnf_or_pos :args (@t339)) % 152.81/153.18 (step @p268 :rule reordering :premises (@p267) :args ((or @t338 @t336 (not @t339)))) % 152.81/153.18 (step @p269 :rule chain_m_resolution :premises (@p268 @p266 @p265) :args (@t336 @t340 @t341)) % 152.81/153.18 (step @p270 :rule eq-symm :args (@t343 @t345)) % 152.81/153.18 (step @p271 :rule refl :args (@t73)) % 152.81/153.18 (step @p272 :rule cong :premises (@p271 @p270) :args ((=> @t73 @t346))) % 152.81/153.18 (assume-push @p697 @t73) % 152.81/153.18 (step @p274 :rule instantiate :premises (@p36) :args (@t347)) % 152.81/153.18 (step-pop @p698 :rule scope :premises (@p274)) % 152.81/153.18 (step @p275 :rule process_scope :premises (@p698) :args (@t346)) % 152.81/153.18 (step @p277 :rule eq_resolve :premises (@p275 @p272)) % 152.81/153.18 (step @p278 :rule implies_elim :premises (@p277)) % 152.81/153.18 (step @p279 :rule chain_m_resolution :premises (@p278 @p36) :args (@t348 @t294 (@list @t73))) % 152.81/153.18 (step @p280 :rule instantiate :premises (@p220) :args ((@list tptp.elt1 @t239 @t106))) % 152.81/153.18 (step @p281 :rule instantiate :premises (@p220) :args ((@list tptp.elt1 @t234 @t349))) % 152.81/153.18 (step @p282 :rule instantiate :premises (@p237) :args ((@list tptp.elt1 @t235 @t237 @t344))) % 152.81/153.18 (step @p283 :rule instantiate :premises (@p240) :args ((@list tptp.elt1 @t235))) % 152.81/153.18 (step @p284 :rule aci_norm :args ((= (or false @t352) @t352))) % 152.81/153.18 (step @p285 :rule refl :args (@t269)) % 152.81/153.18 (step @p286 :rule evaluate :args (@t353)) % 152.81/153.18 (step @p287 :rule cong :premises (@p184 @p286 @p285) :args (@t354)) % 152.81/153.18 (step @p288 :rule refl :args (@t234)) % 152.81/153.18 (step @p289 :rule cong :premises (@p184 @p288 @p287) :args (@t355)) % 152.81/153.18 (step @p290 :rule refl :args (@t351)) % 152.81/153.18 (step @p291 :rule cong :premises (@p290 @p289) :args (@t356)) % 152.81/153.18 (step @p292 :rule evaluate :args (@t357)) % 152.81/153.18 (step @p293 :rule cong :premises (@p292) :args (@t358)) % 152.81/153.18 (step @p294 :rule trans :premises (@p293 @p190)) % 152.81/153.18 (step @p295 :rule nary_cong :premises (@p294 @p291) :args (@t359)) % 152.81/153.18 (step @p296 :rule trans :premises (@p295 @p284)) % 152.81/153.18 (step @p297 :rule cong :premises (@p196 @p296) :args ((=> @t293 @t359))) % 152.81/153.18 (assume-push @p699 @t293) % 152.81/153.18 (step @p299 :rule instantiate :premises (@p180) :args ((@list tptp.elt1 3 @t234 @t269))) % 152.81/153.18 (step-pop @p700 :rule scope :premises (@p299)) % 152.81/153.18 (step @p300 :rule process_scope :premises (@p700) :args (@t359)) % 152.81/153.18 (step @p302 :rule eq_resolve :premises (@p300 @p297)) % 152.81/153.18 (step @p303 :rule implies_elim :premises (@p302)) % 152.81/153.18 (step @p304 :rule chain_m_resolution :premises (@p303 @p180) :args (@t352 @t294 @t295)) % 152.81/153.18 (step @p305 :rule instantiate :premises (@p220) :args ((@list tptp.elt1 @t234 @t106))) % 152.81/153.18 (step @p306 :rule and_elim :premises (@p219) :args (0)) % 152.81/153.18 (step @p307 :rule instantiate :premises (@p306) :args ((@list tptp.elt1))) % 152.81/153.18 (step @p308 :rule eq-symm :args (@t103 @t102)) % 152.81/153.18 (step @p309 :rule cong :premises (@p308) :args (@t105)) % 152.81/153.18 (step @p310 :rule eq_resolve :premises (@p59 @p309)) % 152.81/153.18 (step @p311 :rule instantiate :premises (@p310) :args ((@list @t106))) % 152.81/153.18 (step @p312 :rule instantiate :premises (@p310) :args ((@list @t270))) % 152.81/153.18 (step @p313 :rule instantiate :premises (@p310) :args ((@list @t268))) % 152.81/153.18 (step @p314 :rule instantiate :premises (@p310) :args ((@list @t266))) % 152.81/153.18 (assume-push @p701 @t360) % 152.81/153.18 (assume-push @p702 @t361) % 152.81/153.18 (assume-push @p703 @t362) % 152.81/153.18 (assume-push @p704 @t364) % 152.81/153.18 (assume-push @p705 @t365) % 152.81/153.18 (assume-push @p706 @t366) % 152.81/153.18 (assume-push @p707 @t352) % 152.81/153.18 (assume-push @p708 @t367) % 152.81/153.18 (assume-push @p709 @t370) % 152.81/153.18 (assume-push @p710 @t373) % 152.81/153.18 (assume-push @p711 @t375) % 152.81/153.18 (assume-push @p712 @t348) % 152.81/153.18 (assume-push @p713 @t336) % 152.81/153.18 (assume-push @p714 @t324) % 152.81/153.18 (assume-push @p715 @t377) % 152.81/153.18 (assume-push @p716 @t379) % 152.81/153.18 (assume-push @p717 @t381) % 152.81/153.18 (assume-push @p718 @t384) % 152.81/153.18 (assume-push @p719 @t386) % 152.81/153.18 (assume-push @p720 @t285) % 152.81/153.18 (assume-push @p721 @t387) % 152.81/153.18 (assume-push @p722 @t390) % 152.81/153.18 (assume-push @p723 @t390) % 152.81/153.18 (assume-push @p724 (= @t335 @t388)) % 152.81/153.18 (step @p339 :rule symm :premises (@p146)) % 152.81/153.18 (step @p340 :rule refl :args (3)) % 152.81/153.18 (step @p341 :rule cong :premises (@p184 @p340 @p312) :args (@t351)) % 152.81/153.18 (step @p342 :rule symm :premises (@p304)) % 152.81/153.18 (step @p343 :rule trans :premises (@p342 @p341)) % 152.81/153.18 (step @p344 :rule cong :premises (@p184 @p343) :args (@t372)) % 152.81/153.18 (step @p345 :rule symm :premises (@p281)) % 152.81/153.18 (step @p346 :rule symm :premises (@p283)) % 152.81/153.18 (step @p347 :rule refl :args (@t235)) % 152.81/153.18 (step @p348 :rule symm :premises (@p307)) % 152.81/153.18 (step @p349 :rule cong :premises (@p184 @p348 @p347) :args (@t345)) % 152.81/153.18 (step @p274 :rule instantiate :premises (@p36) :args (@t347)) % 152.81/153.18 (step @p350 :rule symm :premises (@p305)) % 152.81/153.18 (step @p351 :rule symm :premises (@p349)) % 152.81/153.18 (step @p352 :rule trans :premises (@p283 @p351 @p350)) % 152.81/153.18 (step @p353 :rule cong :premises (@p184 @p352 @p348) :args (@t391)) % 152.81/153.18 (step @p354 :rule trans :premises (@p353 @p274 @p349 @p346)) % 152.81/153.18 (step @p355 :rule refl :args (@t371)) % 152.81/153.18 (step @p356 :rule cong :premises (@p184 @p355 @p354) :args (@t392)) % 152.81/153.18 (step @p357 :rule symm :premises (@p353)) % 152.81/153.18 (step @p358 :rule trans :premises (@p305 @p279 @p357)) % 152.81/153.18 (step @p359 :rule refl :args (2)) % 152.81/153.18 (step @p360 :rule cong :premises (@p184 @p359 @p313) :args (@t323)) % 152.81/153.18 (step @p361 :rule symm :premises (@p263)) % 152.81/153.18 (step @p362 :rule trans :premises (@p361 @p360)) % 152.81/153.18 (step @p363 :rule cong :premises (@p184 @p362) :args (@t385)) % 152.81/153.18 (step @p364 :rule symm :premises (@p221)) % 152.81/153.18 (step @p365 :rule refl :args (@t320)) % 152.81/153.18 (step @p366 :rule refl :args (1)) % 152.81/153.18 (step @p367 :rule cong :premises (@p184 @p366 @p314) :args (@t284)) % 152.81/153.18 (step @p368 :rule symm :premises (@p204)) % 152.81/153.18 (step @p369 :rule cong :premises (@p184 @p186 @p150) :args (@t321)) % 152.81/153.18 (step @p370 :rule symm :premises (@p311)) % 152.81/153.18 (step @p371 :rule cong :premises (@p184 @p186 @p370) :args (@t393)) % 152.81/153.18 (step @p372 :rule trans :premises (@p371 @p369 @p368 @p367)) % 152.81/153.18 (step @p373 :rule cong :premises (@p184 @p372) :args (@t394)) % 152.81/153.18 (step @p374 :rule symm :premises (@p371)) % 152.81/153.18 (step @p375 :rule cong :premises (@p184 @p374) :args (@t374)) % 152.81/153.18 (step @p376 :rule symm :premises (@p280)) % 152.81/153.18 (step @p377 :rule refl :args (@t321)) % 152.81/153.18 (step @p378 :rule cong :premises (@p184 @p307 @p377) :args (@t378)) % 152.81/153.18 (step @p379 :rule trans :premises (@p241 @p378 @p376 @p375 @p373)) % 152.81/153.18 (step @p380 :rule cong :premises (@p184 @p379 @p365) :args (@t380)) % 152.81/153.18 (step @p381 :rule trans :premises (@p380 @p364)) % 152.81/153.18 (step @p382 :rule trans :premises (@p381 @p363)) % 152.81/153.18 (step @p383 :rule cong :premises (@p184 @p382 @p358) :args (@t395)) % 152.81/153.18 (step @p384 :rule symm :premises (@p239)) % 152.81/153.18 (step @p385 :rule cong :premises (@p184 @p186 @p242) :args (@t382)) % 152.81/153.18 (step @p386 :rule trans :premises (@p385 @p384)) % 152.81/153.18 (step @p387 :rule cong :premises (@p184 @p386 @p352) :args (@t383)) % 152.81/153.18 (step @p388 :rule symm :premises (@p238)) % 152.81/153.18 (step @p389 :rule cong :premises (@p184 @p247 @p348) :args (@t368)) % 152.81/153.18 (step @p390 :rule cong :premises (@p184 @p389 @p347) :args (@t369)) % 152.81/153.18 (step @p391 :rule symm :premises (@p282)) % 152.81/153.18 (step @p392 :rule trans :premises (@p283 @p351)) % 152.81/153.18 (step @p393 :rule cong :premises (@p184 @p247 @p392) :args (@t332)) % 152.81/153.18 (step @p394 :rule trans :premises (@p393 @p391 @p390)) % 152.81/153.18 (step @p395 :rule cong :premises (@p184 @p186 @p394) :args (@t333)) % 152.81/153.18 (step @p396 :rule trans :premises (@p395 @p388 @p387 @p383 @p356 @p345 @p344)) % 152.81/153.18 (step @p397 :rule refl :args (@t275)) % 152.81/153.18 (step @p398 :rule cong :premises (@p184 @p397 @p396) :args (@t334)) % 152.81/153.18 (step @p399 :rule chain_m_resolution :premises (@p268 @p266 @p265) :args (@t336 @t340 @t341)) % 152.81/153.18 (step @p400 :rule trans :premises (@p399 @p398)) % 152.81/153.18 (step @p401 :rule trans :premises (@p400 @p339)) % 152.81/153.18 (step-pop @p725 :rule scope :premises (@p401)) % 152.81/153.18 (step-pop @p726 :rule scope :premises (@p725)) % 152.81/153.18 (step @p402 :rule process_scope :premises (@p726) :args (@t396)) % 152.81/153.18 (step @p340 :rule refl :args (3)) % 152.81/153.18 (step @p341 :rule cong :premises (@p184 @p340 @p312) :args (@t351)) % 152.81/153.18 (step @p342 :rule symm :premises (@p304)) % 152.81/153.18 (step @p343 :rule trans :premises (@p342 @p341)) % 152.81/153.18 (step @p344 :rule cong :premises (@p184 @p343) :args (@t372)) % 152.81/153.18 (step @p345 :rule symm :premises (@p281)) % 152.81/153.18 (step @p346 :rule symm :premises (@p283)) % 152.81/153.18 (step @p347 :rule refl :args (@t235)) % 152.81/153.18 (step @p348 :rule symm :premises (@p307)) % 152.81/153.18 (step @p349 :rule cong :premises (@p184 @p348 @p347) :args (@t345)) % 152.81/153.18 (step @p274 :rule instantiate :premises (@p36) :args (@t347)) % 152.81/153.18 (step @p350 :rule symm :premises (@p305)) % 152.81/153.18 (step @p351 :rule symm :premises (@p349)) % 152.81/153.18 (step @p352 :rule trans :premises (@p283 @p351 @p350)) % 152.81/153.18 (step @p353 :rule cong :premises (@p184 @p352 @p348) :args (@t391)) % 152.81/153.18 (step @p354 :rule trans :premises (@p353 @p274 @p349 @p346)) % 152.81/153.18 (step @p355 :rule refl :args (@t371)) % 152.81/153.18 (step @p356 :rule cong :premises (@p184 @p355 @p354) :args (@t392)) % 152.81/153.18 (step @p357 :rule symm :premises (@p353)) % 152.81/153.18 (step @p358 :rule trans :premises (@p305 @p279 @p357)) % 152.81/153.18 (step @p359 :rule refl :args (2)) % 152.81/153.18 (step @p360 :rule cong :premises (@p184 @p359 @p313) :args (@t323)) % 152.81/153.18 (step @p361 :rule symm :premises (@p263)) % 152.81/153.18 (step @p362 :rule trans :premises (@p361 @p360)) % 152.81/153.18 (step @p363 :rule cong :premises (@p184 @p362) :args (@t385)) % 152.81/153.18 (step @p364 :rule symm :premises (@p221)) % 152.81/153.18 (step @p365 :rule refl :args (@t320)) % 152.81/153.18 (step @p366 :rule refl :args (1)) % 152.81/153.18 (step @p367 :rule cong :premises (@p184 @p366 @p314) :args (@t284)) % 152.81/153.18 (step @p368 :rule symm :premises (@p204)) % 152.81/153.18 (step @p369 :rule cong :premises (@p184 @p186 @p150) :args (@t321)) % 152.81/153.18 (step @p370 :rule symm :premises (@p311)) % 152.81/153.18 (step @p371 :rule cong :premises (@p184 @p186 @p370) :args (@t393)) % 152.81/153.18 (step @p372 :rule trans :premises (@p371 @p369 @p368 @p367)) % 152.81/153.18 (step @p373 :rule cong :premises (@p184 @p372) :args (@t394)) % 152.81/153.18 (step @p374 :rule symm :premises (@p371)) % 152.81/153.18 (step @p375 :rule cong :premises (@p184 @p374) :args (@t374)) % 152.81/153.18 (step @p376 :rule symm :premises (@p280)) % 152.81/153.18 (step @p377 :rule refl :args (@t321)) % 152.81/153.18 (step @p378 :rule cong :premises (@p184 @p307 @p377) :args (@t378)) % 152.81/153.18 (step @p379 :rule trans :premises (@p241 @p378 @p376 @p375 @p373)) % 152.81/153.18 (step @p380 :rule cong :premises (@p184 @p379 @p365) :args (@t380)) % 152.81/153.18 (step @p381 :rule trans :premises (@p380 @p364)) % 152.81/153.18 (step @p382 :rule trans :premises (@p381 @p363)) % 152.81/153.18 (step @p383 :rule cong :premises (@p184 @p382 @p358) :args (@t395)) % 152.81/153.18 (step @p384 :rule symm :premises (@p239)) % 152.81/153.18 (step @p385 :rule cong :premises (@p184 @p186 @p242) :args (@t382)) % 152.81/153.18 (step @p386 :rule trans :premises (@p385 @p384)) % 152.81/153.18 (step @p387 :rule cong :premises (@p184 @p386 @p352) :args (@t383)) % 152.81/153.18 (step @p388 :rule symm :premises (@p238)) % 152.81/153.18 (step @p389 :rule cong :premises (@p184 @p247 @p348) :args (@t368)) % 152.81/153.18 (step @p390 :rule cong :premises (@p184 @p389 @p347) :args (@t369)) % 152.81/153.18 (step @p391 :rule symm :premises (@p282)) % 152.81/153.18 (step @p392 :rule trans :premises (@p283 @p351)) % 152.81/153.18 (step @p393 :rule cong :premises (@p184 @p247 @p392) :args (@t332)) % 152.81/153.18 (step @p394 :rule trans :premises (@p393 @p391 @p390)) % 152.81/153.18 (step @p395 :rule cong :premises (@p184 @p186 @p394) :args (@t333)) % 152.81/153.18 (step @p396 :rule trans :premises (@p395 @p388 @p387 @p383 @p356 @p345 @p344)) % 152.81/153.18 (step @p397 :rule refl :args (@t275)) % 152.81/153.18 (step @p398 :rule cong :premises (@p184 @p397 @p396) :args (@t334)) % 152.81/153.18 (step @p405 :rule trans :premises (@p269 @p398)) % 152.81/153.18 (step @p406 :rule and_intro :premises (@p146 @p405)) % 152.81/153.18 (step @p407 :rule modus_ponens :premises (@p406 @p402)) % 152.81/153.18 (step-pop @p727 :rule scope :premises (@p407)) % 152.81/153.18 (step-pop @p728 :rule scope :premises (@p727)) % 152.81/153.18 (step-pop @p729 :rule scope :premises (@p728)) % 152.81/153.18 (step-pop @p730 :rule scope :premises (@p729)) % 152.81/153.18 (step-pop @p731 :rule scope :premises (@p730)) % 152.81/153.18 (step-pop @p732 :rule scope :premises (@p731)) % 152.81/153.18 (step-pop @p733 :rule scope :premises (@p732)) % 152.81/153.18 (step-pop @p734 :rule scope :premises (@p733)) % 152.81/153.18 (step-pop @p735 :rule scope :premises (@p734)) % 152.81/153.18 (step-pop @p736 :rule scope :premises (@p735)) % 152.81/153.18 (step-pop @p737 :rule scope :premises (@p736)) % 152.81/153.18 (step-pop @p738 :rule scope :premises (@p737)) % 152.81/153.18 (step-pop @p739 :rule scope :premises (@p738)) % 152.81/153.18 (step-pop @p740 :rule scope :premises (@p739)) % 152.81/153.18 (step-pop @p741 :rule scope :premises (@p740)) % 152.81/153.18 (step-pop @p742 :rule scope :premises (@p741)) % 152.81/153.18 (step-pop @p743 :rule scope :premises (@p742)) % 152.81/153.18 (step-pop @p744 :rule scope :premises (@p743)) % 152.81/153.18 (step-pop @p745 :rule scope :premises (@p744)) % 152.81/153.18 (step-pop @p746 :rule scope :premises (@p745)) % 152.81/153.18 (step-pop @p747 :rule scope :premises (@p746)) % 152.81/153.18 (step-pop @p748 :rule scope :premises (@p747)) % 152.81/153.18 (step @p408 :rule process_scope :premises (@p748) :args (@t396)) % 152.81/153.18 (step @p431 :rule implies_elim :premises (@p408)) % 152.81/153.18 (step @p432 :rule cnf_and_neg :args (@t397)) % 152.81/153.18 (step @p433 :rule resolution :premises (@p432 @p431) :args (true @t397)) % 152.81/153.18 (step @p434 :rule reordering :premises (@p433) :args ((or (not @t360) (not @t361) (not @t362) (not @t364) (not @t365) (not @t366) (not @t352) @t396 (not @t367) (not @t370) (not @t373) (not @t375) (not @t348) (not @t336) (not @t324) (not @t377) (not @t379) (not @t381) (not @t384) (not @t386) (not @t285) (not @t387) (not @t390)))) % 152.81/153.18 (step @p435 :rule chain_m_resolution :premises (@p434 @p314 @p313 @p312 @p311 @p307 @p305 @p304 @p283 @p282 @p281 @p280 @p279 @p269 @p263 @p242 @p241 @p239 @p238 @p221 @p204 @p150 @p146) :args (@t396 (@list false false false false false false false false false false false false false false false false false false false false false false) (@list @t360 @t361 @t362 @t364 @t365 @t366 @t352 @t367 @t370 @t373 @t375 @t348 @t336 @t324 @t377 @t379 @t381 @t384 @t386 @t285 @t387 @t390))) % 152.81/153.18 (step @p436 :rule cnf_or_neg :args (@t398 1)) % 152.81/153.18 (step @p437 :rule chain_m_resolution :premises (@p436 @p435) :args (@t398 @t294 (@list @t396))) % 152.81/153.18 (step @p438 :rule refl :args (@t399)) % 152.81/153.18 (step @p439 :rule bool-double-not-elim :args (@t274)) % 152.81/153.18 (step @p440 :rule nary_cong :premises (@p439 @p438) :args ((or (not @t400) @t399))) % 152.81/153.18 (assume-push @p749 @t400) % 152.81/153.18 (step @p442 :rule skolemize :premises (@p749)) % 152.81/153.18 (step-pop @p750 :rule scope :premises (@p442)) % 152.81/153.18 (step @p443 :rule process_scope :premises (@p750) :args (@t399)) % 152.81/153.18 (step @p445 :rule implies_elim :premises (@p443)) % 152.81/153.18 (step @p446 :rule eq_resolve :premises (@p445 @p440)) % 152.81/153.18 (step @p447 :rule chain_m_resolution :premises (@p446 @p437) :args (@t274 @t294 (@list @t398))) % 152.81/153.18 (step @p448 :rule cnf_or_pos :args (@t402)) % 152.81/153.18 (step @p449 :rule reordering :premises (@p448) :args ((or @t401 @t400 (not @t402)))) % 152.81/153.18 (step @p450 :rule chain_m_resolution :premises (@p449 @p447 @p145) :args (@t401 @t340 (@list @t274 @t402))) % 152.81/153.18 (step @p451 :rule cnf_or_neg :args (@t404 1)) % 152.81/153.18 (step @p452 :rule chain_m_resolution :premises (@p451 @p450) :args (@t404 @t294 (@list @t401))) % 152.81/153.18 (step @p453 :rule aci_norm :args ((= (or @t229 false @t228 @t227 @t226) @t230))) % 152.81/153.18 (step @p454 :rule refl :args (@t226)) % 152.81/153.18 (step @p455 :rule refl :args (@t227)) % 152.81/153.18 (step @p456 :rule refl :args (@t228)) % 152.81/153.18 (step @p457 :rule eq-refl :args (@t218)) % 152.81/153.18 (step @p458 :rule cong :premises (@p457) :args (@t405)) % 152.81/153.18 (step @p459 :rule trans :premises (@p458 @p190)) % 152.81/153.18 (step @p460 :rule refl :args (@t229)) % 152.81/153.18 (step @p461 :rule nary_cong :premises (@p460 @p459 @p456 @p455 @p454) :args (@t406)) % 152.81/153.18 (step @p462 :rule trans :premises (@p461 @p453)) % 152.81/153.18 (step @p463 :rule cong :premises (@p462) :args ((forall @t231 @t406))) % 152.81/153.18 (step @p464 :rule quant-var-elim-eq :args ((= (forall @t412 @t411) @t406))) % 152.81/153.18 (step @p465 :rule aci_norm :args ((= @t413 @t411))) % 152.81/153.18 (step @p466 :rule cong :premises (@p465) :args (@t414)) % 152.81/153.18 (step @p467 :rule trans :premises (@p466 @p464)) % 152.81/153.18 (step @p468 :rule cong :premises (@p467) :args (@t415)) % 152.81/153.18 (step @p469 :rule quant-merge-prenex :args ((= @t415 @t416))) % 152.81/153.18 (step @p470 :rule symm :premises (@p469)) % 152.81/153.18 (step @p471 :rule quant_var_reordering :args ((= (forall @t417 @t413) @t416))) % 152.81/153.18 (step @p472 :rule trans :premises (@p471 @p470 @p468)) % 152.81/153.18 (step @p473 :rule trans :premises (@p472 @p463)) % 152.81/153.18 (step @p474 :rule aci_norm :args ((= (or false @t410 false false @t409 @t228 @t227 @t408) @t413))) % 152.81/153.18 (step @p475 :rule refl :args (@t408)) % 152.81/153.18 (step @p476 :rule refl :args (@t409)) % 152.81/153.18 (step @p477 :rule evaluate :args (@t418)) % 152.81/153.18 (step @p478 :rule cong :premises (@p477) :args (@t419)) % 152.81/153.18 (step @p479 :rule trans :premises (@p478 @p190)) % 152.81/153.18 (step @p480 :rule evaluate :args (@t420)) % 152.81/153.18 (step @p481 :rule arith_poly_norm :args ((= (* 2 (- 3 @t423)) (* 2 (- @t422 1))))) % 152.81/153.18 (step @p482 :rule arith_poly_norm_rel :premises (@p481) :args ((= (>= 3 @t423) @t424))) % 152.81/153.18 (step @p483 :rule arith-geq-tighten :args (@t202 3)) % 152.81/153.18 (step @p484 :rule trans :premises (@p483 @p482)) % 152.81/153.18 (step @p485 :rule symm :premises (@p484)) % 152.81/153.18 (step @p486 :rule evaluate :args (@t425)) % 152.81/153.18 (step @p487 :rule cong :premises (@p486) :args (@t426)) % 152.81/153.18 (step @p488 :rule trans :premises (@p487 @p190)) % 152.81/153.18 (step @p489 :rule nary_cong :premises (@p488 @p485 @p480 @p479 @p476 @p456 @p455 @p475) :args (@t427)) % 152.81/153.18 (step @p490 :rule trans :premises (@p489 @p474)) % 152.81/153.18 (step @p491 :rule cong :premises (@p490) :args ((forall @t417 @t427))) % 152.81/153.18 (step @p492 :rule trans :premises (@p491 @p473)) % 152.81/153.18 (step @p493 :rule quant-var-elim-eq :args ((= (forall @t435 @t434) @t427))) % 152.81/153.18 (step @p494 :rule aci_norm :args ((= @t436 @t434))) % 152.81/153.18 (step @p495 :rule cong :premises (@p494) :args (@t437)) % 152.81/153.18 (step @p496 :rule trans :premises (@p495 @p493)) % 152.81/153.18 (step @p497 :rule cong :premises (@p496) :args (@t438)) % 152.81/153.18 (step @p498 :rule quant-merge-prenex :args ((= @t438 @t439))) % 152.81/153.18 (step @p499 :rule symm :premises (@p498)) % 152.81/153.18 (step @p500 :rule quant_var_reordering :args ((= (forall @t440 @t436) @t439))) % 152.81/153.18 (step @p501 :rule trans :premises (@p500 @p499 @p497)) % 152.81/153.18 (step @p502 :rule trans :premises (@p501 @p492)) % 152.81/153.18 (step @p503 :rule aci_norm :args ((= @t442 @t436))) % 152.81/153.18 (step @p504 :rule cong :premises (@p503) :args (@t443)) % 152.81/153.18 (step @p505 :rule trans :premises (@p504 @p502)) % 152.81/153.18 (step @p506 :rule quant-merge-prenex :args ((= (forall @t205 @t444) @t443))) % 152.81/153.18 (step @p507 :rule alpha_equiv :args (@t445 (@list @t216 @t214 @t212 @t211) (@list @t93 @t448 @t447 @t446))) % 152.81/153.18 (step @p508 :rule refl :args (@t429)) % 152.81/153.18 (step @p509 :rule refl :args (@t199)) % 152.81/153.18 (step @p510 :rule refl :args (@t431)) % 152.81/153.18 (step @p511 :rule refl :args (@t433)) % 152.81/153.18 (step @p512 :rule nary_cong :premises (@p511 @p510 @p509 @p508 @p507) :args (@t449)) % 152.81/153.18 (step @p513 :rule quant-miniscope-or :args ((= @t444 @t449))) % 152.81/153.18 (step @p514 :rule trans :premises (@p513 @p512)) % 152.81/153.18 (step @p515 :rule symm :premises (@p514)) % 152.81/153.18 (step @p516 :rule cong :premises (@p515) :args ((forall @t205 @t461))) % 152.81/153.18 (step @p517 :rule trans :premises (@p516 @p506)) % 152.81/153.18 (step @p518 :rule trans :premises (@p517 @p505)) % 152.81/153.18 (step @p519 :rule aci_norm :args ((= (or (or @t433 @t431) @t462) @t461))) % 152.81/153.18 (step @p520 :rule aci_norm :args ((= (or @t199 (or @t429 @t460)) @t462))) % 152.81/153.18 (step @p521 :rule bool-impl-elim :args (@t197 @t460)) % 152.81/153.18 (step @p522 :rule nary_cong :premises (@p509 @p521) :args ((or @t199 @t463))) % 152.81/153.18 (step @p523 :rule trans :premises (@p522 @p520)) % 152.81/153.18 (step @p524 :rule refl :args (@t463)) % 152.81/153.18 (step @p525 :rule bool-double-not-elim :args (@t199)) % 152.81/153.18 (step @p526 :rule nary_cong :premises (@p525 @p524) :args ((or (not @t200) @t463))) % 152.81/153.18 (step @p527 :rule bool-impl-elim :args (@t200 @t463)) % 152.81/153.18 (step @p528 :rule trans :premises (@p527 @p526)) % 152.81/153.18 (step @p529 :rule trans :premises (@p528 @p523)) % 152.81/153.18 (step @p530 :rule bool-double-not-elim :args (@t431)) % 152.81/153.18 (step @p531 :rule nary_cong :premises (@p511 @p530) :args ((or @t433 (not @t464)))) % 152.81/153.18 (step @p532 :rule bool-and-de-morgan :args (@t432 @t464 true)) % 152.81/153.18 (step @p533 :rule trans :premises (@p532 @p531)) % 152.81/153.18 (step @p534 :rule nary_cong :premises (@p533 @p529) :args ((or (not @t466) @t465))) % 152.81/153.18 (step @p535 :rule trans :premises (@p534 @p519)) % 152.81/153.18 (step @p536 :rule bool-impl-elim :args (@t466 @t465)) % 152.81/153.18 (step @p537 :rule trans :premises (@p536 @p535)) % 152.81/153.18 (step @p538 :rule cong :premises (@p537) :args ((forall @t205 (=> @t466 @t465)))) % 152.81/153.18 (step @p539 :rule trans :premises (@p538 @p518)) % 152.81/153.18 (step @p540 :rule aci_norm :args ((= (or @t457 false @t455 @t454 @t453) @t458))) % 152.81/153.18 (step @p541 :rule refl :args (@t453)) % 152.81/153.18 (step @p542 :rule refl :args (@t454)) % 152.81/153.18 (step @p543 :rule refl :args (@t455)) % 152.81/153.18 (step @p544 :rule eq-refl :args (@t456)) % 152.81/153.18 (step @p545 :rule cong :premises (@p544) :args (@t467)) % 152.81/153.18 (step @p546 :rule trans :premises (@p545 @p190)) % 152.81/153.18 (step @p547 :rule refl :args (@t457)) % 152.81/153.18 (step @p548 :rule nary_cong :premises (@p547 @p546 @p543 @p542 @p541) :args (@t468)) % 152.81/153.18 (step @p549 :rule trans :premises (@p548 @p540)) % 152.81/153.18 (step @p550 :rule cong :premises (@p549) :args ((forall @t459 @t468))) % 152.81/153.18 (step @p551 :rule quant-var-elim-eq :args ((= (forall @t472 @t471) @t468))) % 152.81/153.18 (step @p552 :rule aci_norm :args ((= @t473 @t471))) % 152.81/153.18 (step @p553 :rule cong :premises (@p552) :args (@t474)) % 152.81/153.18 (step @p554 :rule trans :premises (@p553 @p551)) % 152.81/153.18 (step @p555 :rule cong :premises (@p554) :args (@t475)) % 152.81/153.18 (step @p556 :rule quant-merge-prenex :args ((= @t475 @t476))) % 152.81/153.18 (step @p557 :rule symm :premises (@p556)) % 152.81/153.18 (step @p558 :rule quant_var_reordering :args ((= (forall @t477 @t473) @t476))) % 152.81/153.18 (step @p559 :rule trans :premises (@p558 @p557 @p555)) % 152.81/153.18 (step @p560 :rule trans :premises (@p559 @p550)) % 152.81/153.18 (step @p561 :rule aci_norm :args ((= @t479 @t473))) % 152.81/153.18 (step @p562 :rule cong :premises (@p561) :args (@t480)) % 152.81/153.18 (step @p563 :rule trans :premises (@p562 @p560)) % 152.81/153.18 (step @p564 :rule quant-merge-prenex :args ((= (forall @t195 @t482) @t480))) % 152.81/153.18 (step @p565 :rule alpha_equiv :args (@t483 (@list @t448 @t447 @t446) (@list @t167 @t485 @t484))) % 152.81/153.18 (step @p566 :rule refl :args (@t470)) % 152.81/153.18 (step @p567 :rule nary_cong :premises (@p566 @p565) :args (@t486)) % 152.81/153.18 (step @p568 :rule quant-miniscope-or :args ((= @t482 @t486))) % 152.81/153.18 (step @p569 :rule trans :premises (@p568 @p567)) % 152.81/153.18 (step @p570 :rule symm :premises (@p569)) % 152.81/153.18 (step @p571 :rule cong :premises (@p570) :args ((forall @t195 (or @t470 @t495)))) % 152.81/153.18 (step @p572 :rule trans :premises (@p571 @p564)) % 152.81/153.18 (step @p573 :rule trans :premises (@p572 @p563)) % 152.81/153.18 (step @p574 :rule bool-impl-elim :args (@t193 @t495)) % 152.81/153.18 (step @p575 :rule cong :premises (@p574) :args ((forall @t195 (=> @t193 @t495)))) % 152.81/153.18 (step @p576 :rule trans :premises (@p575 @p573)) % 152.81/153.18 (step @p577 :rule aci_norm :args ((= (or @t492 @t180 false @t490 @t489) @t493))) % 152.81/153.18 (step @p578 :rule refl :args (@t489)) % 152.81/153.18 (step @p579 :rule refl :args (@t490)) % 152.81/153.18 (step @p580 :rule eq-refl :args (@t491)) % 152.81/153.18 (step @p581 :rule cong :premises (@p580) :args (@t496)) % 152.81/153.18 (step @p582 :rule trans :premises (@p581 @p190)) % 152.81/153.18 (step @p583 :rule refl :args (@t180)) % 152.81/153.18 (step @p584 :rule refl :args (@t492)) % 152.81/153.18 (step @p585 :rule nary_cong :premises (@p584 @p583 @p582 @p579 @p578) :args (@t497)) % 152.81/153.18 (step @p586 :rule trans :premises (@p585 @p577)) % 152.81/153.18 (step @p587 :rule cong :premises (@p586) :args ((forall @t494 @t497))) % 152.81/153.18 (step @p588 :rule quant-var-elim-eq :args ((= (forall @t501 @t500) @t497))) % 152.81/153.18 (step @p589 :rule aci_norm :args ((= @t502 @t500))) % 152.81/153.18 (step @p590 :rule cong :premises (@p589) :args (@t503)) % 152.81/153.18 (step @p591 :rule trans :premises (@p590 @p588)) % 152.81/153.18 (step @p592 :rule cong :premises (@p591) :args (@t504)) % 152.81/153.18 (step @p593 :rule quant-merge-prenex :args ((= @t504 @t505))) % 152.81/153.18 (step @p594 :rule symm :premises (@p593)) % 152.81/153.18 (step @p595 :rule quant_var_reordering :args ((= (forall @t506 @t502) @t505))) % 152.81/153.18 (step @p596 :rule trans :premises (@p595 @p594 @p592)) % 152.81/153.18 (step @p597 :rule trans :premises (@p596 @p587)) % 152.81/153.18 (step @p598 :rule aci_norm :args ((= @t508 @t502))) % 152.81/153.18 (step @p599 :rule cong :premises (@p598) :args (@t509)) % 152.81/153.18 (step @p600 :rule trans :premises (@p599 @p597)) % 152.81/153.18 (step @p601 :rule quant-merge-prenex :args ((= (forall @t191 @t511) @t509))) % 152.81/153.18 (step @p602 :rule alpha_equiv :args (@t512 (@list @t485 @t484) (@list @t170 @t183))) % 152.81/153.18 (step @p603 :rule refl :args (@t180)) % 152.81/153.18 (step @p604 :rule refl :args (@t499)) % 152.81/153.18 (step @p605 :rule nary_cong :premises (@p604 @p603 @p602) :args (@t513)) % 152.81/153.18 (step @p606 :rule quant-miniscope-or :args ((= @t511 @t513))) % 152.81/153.18 (step @p607 :rule trans :premises (@p606 @p605)) % 152.81/153.18 (step @p608 :rule symm :premises (@p607)) % 152.81/153.18 (step @p609 :rule cong :premises (@p608) :args ((forall @t191 @t518))) % 152.81/153.18 (step @p610 :rule trans :premises (@p609 @p601)) % 152.81/153.18 (step @p611 :rule trans :premises (@p610 @p600)) % 152.81/153.18 (step @p612 :rule aci_norm :args ((= (or @t499 @t519) @t518))) % 152.81/153.18 (step @p613 :rule bool-impl-elim :args (@t189 @t519)) % 152.81/153.18 (step @p614 :rule trans :premises (@p613 @p612)) % 152.81/153.18 (step @p615 :rule cong :premises (@p614) :args ((forall @t191 (=> @t189 @t519)))) % 152.81/153.18 (step @p616 :rule trans :premises (@p615 @p611)) % 152.81/153.18 (step @p617 :rule quant-miniscope-or :args ((= (forall @t186 @t520) @t519))) % 152.81/153.18 (step @p618 :rule aci_norm :args ((= @t521 @t520))) % 152.81/153.18 (step @p619 :rule cong :premises (@p618) :args ((forall @t186 @t521))) % 152.81/153.18 (step @p620 :rule trans :premises (@p619 @p617)) % 152.81/153.18 (step @p621 :rule aci_norm :args ((= (or @t515 @t522) @t521))) % 152.81/153.18 (step @p622 :rule aci_norm :args ((= (or @t180 (or @t177 @t514)) @t522))) % 152.81/153.18 (step @p623 :rule refl :args (@t172)) % 152.81/153.18 (step @p624 :rule bool-double-not-elim :args (@t173)) % 152.81/153.18 (step @p625 :rule nary_cong :premises (@p624 @p623) :args ((or (not @t174) @t172))) % 152.81/153.18 (step @p626 :rule bool-impl-elim :args (@t174 @t172)) % 152.81/153.18 (step @p627 :rule trans :premises (@p626 @p625)) % 152.81/153.18 (step @p628 :rule bool-impl-elim :args (@t173 @t175)) % 152.81/153.18 (step @p629 :rule nary_cong :premises (@p628 @p627) :args (@t176)) % 152.81/153.18 (step @p630 :rule refl :args (@t177)) % 152.81/153.18 (step @p631 :rule nary_cong :premises (@p630 @p629) :args ((or @t177 @t176))) % 152.81/153.18 (step @p632 :rule refl :args (@t176)) % 152.81/153.18 (step @p633 :rule bool-double-not-elim :args (@t177)) % 152.81/153.18 (step @p634 :rule nary_cong :premises (@p633 @p632) :args ((or (not @t178) @t176))) % 152.81/153.18 (step @p635 :rule bool-impl-elim :args (@t178 @t176)) % 152.81/153.18 (step @p636 :rule trans :premises (@p635 @p634)) % 152.81/153.18 (step @p637 :rule trans :premises (@p636 @p631)) % 152.81/153.18 (step @p638 :rule nary_cong :premises (@p603 @p637) :args ((or @t180 @t179))) % 152.81/153.18 (step @p639 :rule trans :premises (@p638 @p622)) % 152.81/153.18 (step @p640 :rule refl :args (@t179)) % 152.81/153.18 (step @p641 :rule bool-double-not-elim :args (@t180)) % 152.81/153.18 (step @p642 :rule nary_cong :premises (@p641 @p640) :args ((or (not @t181) @t179))) % 152.81/153.18 (step @p643 :rule bool-impl-elim :args (@t181 @t179)) % 152.81/153.18 (step @p644 :rule trans :premises (@p643 @p642)) % 152.81/153.18 (step @p645 :rule trans :premises (@p644 @p639)) % 152.81/153.18 (step @p646 :rule refl :args (@t515)) % 152.81/153.18 (step @p647 :rule nary_cong :premises (@p646 @p645) :args ((or @t515 @t182))) % 152.81/153.18 (step @p648 :rule trans :premises (@p647 @p621)) % 152.81/153.18 (step @p649 :rule bool-impl-elim :args (@t185 @t182)) % 152.81/153.18 (step @p650 :rule trans :premises (@p649 @p648)) % 152.81/153.18 (step @p651 :rule cong :premises (@p650) :args (@t187)) % 152.81/153.18 (step @p652 :rule trans :premises (@p651 @p620)) % 152.81/153.18 (step @p653 :rule refl :args (@t189)) % 152.81/153.18 (step @p654 :rule cong :premises (@p653 @p652) :args (@t190)) % 152.81/153.18 (step @p655 :rule cong :premises (@p654) :args (@t192)) % 152.81/153.18 (step @p656 :rule trans :premises (@p655 @p616)) % 152.81/153.18 (step @p657 :rule refl :args (@t193)) % 152.81/153.18 (step @p658 :rule cong :premises (@p657 @p656) :args (@t194)) % 152.81/153.18 (step @p659 :rule cong :premises (@p658) :args (@t196)) % 152.81/153.18 (step @p660 :rule trans :premises (@p659 @p576)) % 152.81/153.18 (step @p661 :rule refl :args (@t197)) % 152.81/153.18 (step @p662 :rule cong :premises (@p661 @p660) :args (@t198)) % 152.81/153.18 (step @p663 :rule refl :args (@t200)) % 152.81/153.18 (step @p664 :rule cong :premises (@p663 @p662) :args (@t201)) % 152.81/153.18 (step @p665 :rule arith_poly_norm :args ((= (* -1 (- @t142 @t423)) (* -1 (- @t430 1))))) % 152.81/153.18 (step @p666 :rule arith_poly_norm_rel :premises (@p665) :args ((= @t523 @t431))) % 152.81/153.18 (step @p667 :rule cong :premises (@p666) :args ((not @t523))) % 152.81/153.18 (step @p668 :rule arith-leq-norm :args (@t142 @t202)) % 152.81/153.18 (step @p669 :rule trans :premises (@p668 @p667)) % 152.81/153.18 (step @p670 :rule arith-elim-leq :args (2 @t142)) % 152.81/153.18 (step @p671 :rule nary_cong :premises (@p670 @p669) :args (@t203)) % 152.81/153.18 (step @p672 :rule cong :premises (@p671 @p664) :args (@t204)) % 152.81/153.18 (step @p673 :rule cong :premises (@p672) :args (@t206)) % 152.81/153.18 (step @p674 :rule trans :premises (@p673 @p539)) % 152.81/153.18 (step @p675 :rule cong :premises (@p674) :args (@t207)) % 152.81/153.18 (step @p676 :rule eq_resolve :premises (@p101 @p675)) % 152.81/153.18 (step @p677 :rule skolemize :premises (@p676)) % 152.81/153.18 (step @p678 :rule cnf_or_neg :args (@t527 3)) % 152.81/153.18 (step @p679 :rule chain_m_resolution :premises (@p678 @p677) :args ((not @t526) @t528 (@list @t527))) % 152.81/153.18 (step @p680 :rule cnf_and_neg :args (@t526)) % 152.81/153.18 (step @p681 :rule chain_m_resolution :premises (@p680 @p679 @p452) :args ((not @t525) @t529 (@list @t526 @t404))) % 152.81/153.18 (step @p682 :rule cnf_or_neg :args (@t525 1)) % 152.81/153.18 (step @p683 :rule chain_m_resolution :premises (@p682 @p681) :args ((not @t524) @t528 (@list @t525))) % 152.81/153.18 (step @p684 :rule cnf_or_pos :args (@t533)) % 152.81/153.18 (step @p685 :rule reordering :premises (@p684) :args ((or @t524 @t530 @t532 @t534))) % 152.81/153.18 (step @p686 :rule chain_m_resolution :premises (@p685 @p683 @p450 @p112) :args (@t534 (@list true false false) (@list @t524 @t401 @t531))) % 152.81/153.18 (assume-push @p751 @t535) % 152.81/153.18 (step @p688 :rule instantiate :premises (@p111) :args ((@list tptp.elt1 @t333 @t273 @t272))) % 152.81/153.18 (step-pop @p752 :rule scope :premises (@p688)) % 152.81/153.18 (step @p689 :rule process_scope :premises (@p752) :args (@t533)) % 152.81/153.18 (step @p691 :rule implies_elim :premises (@p689)) % 152.81/153.18 (step @p692 false :rule chain_m_resolution :premises (@p691 @p686 @p111) :args (false @t529 (@list @t533 @t535))) % 152.81/153.18 ) % 152.81/153.18 % SZS output end Proof % 152.81/153.19 % cvc5 exiting %------------------------------------------------------------------------------