%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX110_1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 09:07:08 AM UTC 2026 % Result : Theorem 0.44s 0.64s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX110_1 : TPTP v9.2.1. Released v9.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 22:57:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_ARI % 0.44/0.64 --- Run --finite-model-find --decision=internal at 45... % 0.44/0.64 % SZS status Theorem % 0.44/0.64 % SZS output start Proof % 0.44/0.64 ( % 0.44/0.64 (declare-sort tptp.symbol 0) % 0.44/0.64 (declare-sort tptp.general 0) % 0.44/0.64 (declare-const tptp.hprime (-> tptp.general Bool)) % 0.44/0.64 (declare-const tptp.f__integer__ (-> Int tptp.general)) % 0.44/0.64 (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general)) % 0.44/0.64 (declare-const tptp.c__supremum__ tptp.general) % 0.44/0.64 (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool)) % 0.44/0.64 (declare-const tptp.tcomposite (-> tptp.general Bool)) % 0.44/0.64 (declare-const tptp.c__infimum__ tptp.general) % 0.44/0.64 (declare-const tptp.p__is_integer__ (-> tptp.general Bool)) % 0.44/0.64 (declare-const tptp.hcomposite (-> tptp.general Bool)) % 0.44/0.64 (declare-const tptp.tprime (-> tptp.general Bool)) % 0.44/0.64 (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool)) % 0.44/0.64 (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool)) % 0.44/0.64 (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool)) % 0.44/0.64 (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool)) % 0.44/0.64 (define @t1 () (@var "N" Int)) % 0.44/0.64 (define @t2 () (tptp.f__integer__ @t1)) % 0.44/0.64 (define @t3 () (@var "X" tptp.general)) % 0.44/0.64 (define @t4 () (@list @t1)) % 0.44/0.64 (define @t5 () (tptp.p__is_integer__ @t3)) % 0.44/0.64 (define @t6 () (@list @t3)) % 0.44/0.64 (define @t7 () (@var "X2" tptp.symbol)) % 0.44/0.64 (define @t8 () (@var "X1" tptp.general)) % 0.44/0.64 (define @t9 () (@var "N2" Int)) % 0.44/0.64 (define @t10 () (@var "N1" Int)) % 0.44/0.64 (define @t11 () (tptp.f__integer__ @t9)) % 0.44/0.64 (define @t12 () (tptp.f__integer__ @t10)) % 0.44/0.64 (define @t13 () (@list @t10 @t9)) % 0.44/0.64 (define @t14 () (@var "S2" tptp.symbol)) % 0.44/0.64 (define @t15 () (@var "S1" tptp.symbol)) % 0.44/0.64 (define @t16 () (@var "X2" tptp.general)) % 0.44/0.64 (define @t17 () (= @t8 @t16)) % 0.44/0.64 (define @t18 () (tptp.p__less_equal__ @t16 @t8)) % 0.44/0.64 (define @t19 () (tptp.p__less_equal__ @t8 @t16)) % 0.44/0.64 (define @t20 () (@list @t8 @t16)) % 0.44/0.64 (define @t21 () (@var "X3" tptp.general)) % 0.44/0.64 (define @t22 () (not @t17)) % 0.44/0.64 (define @t23 () (@var "S" tptp.symbol)) % 0.44/0.64 (define @t24 () (tptp.f__symbolic__ @t23)) % 0.44/0.64 (define @t25 () (@var "X1_g" tptp.general)) % 0.44/0.64 (define @t26 () (@list @t25)) % 0.44/0.64 (define @t27 () (@var "V1_g" tptp.general)) % 0.44/0.64 (define @t28 () (tptp.tcomposite @t27)) % 0.44/0.64 (define @t29 () (@var "Z1_g" tptp.general)) % 0.44/0.64 (define @t30 () (@var "Z_g" tptp.general)) % 0.44/0.64 (define @t31 () (= @t30 @t29)) % 0.44/0.64 (define @t32 () (@var "N_g" tptp.general)) % 0.44/0.64 (define @t33 () (= @t29 @t32)) % 0.44/0.64 (define @t34 () (@var "J_i" Int)) % 0.44/0.64 (define @t35 () (= @t34 0)) % 0.44/0.64 (define @t36 () (@var "I_i" Int)) % 0.44/0.64 (define @t37 () (tptp.f__integer__ @t36)) % 0.44/0.64 (define @t38 () (= @t30 (tptp.f__integer__ (+ @t36 @t34)))) % 0.44/0.64 (define @t39 () (and @t38 (= @t37 @t32) @t35)) % 0.44/0.64 (define @t40 () (@list @t36 @t34)) % 0.44/0.64 (define @t41 () (exists @t40 @t39)) % 0.44/0.64 (define @t42 () (and @t41 @t33 @t31)) % 0.44/0.64 (define @t43 () (@list @t30 @t29)) % 0.44/0.64 (define @t44 () (exists @t43 @t42)) % 0.44/0.64 (define @t45 () (tptp.p__greater__ @t30 @t29)) % 0.44/0.64 (define @t46 () (tptp.f__integer__ 2)) % 0.44/0.64 (define @t47 () (= @t29 @t46)) % 0.44/0.64 (define @t48 () (= @t30 @t32)) % 0.44/0.64 (define @t49 () (and @t48 @t47 @t45)) % 0.44/0.64 (define @t50 () (exists @t43 @t49)) % 0.44/0.64 (define @t51 () (@var "K_i" Int)) % 0.44/0.64 (define @t52 () (= @t29 (tptp.f__integer__ @t51))) % 0.44/0.64 (define @t53 () (tptp.f__integer__ @t34)) % 0.44/0.64 (define @t54 () (= @t36 2)) % 0.44/0.64 (define @t55 () (and @t54 (= @t53 @t32) @t52 (<= @t36 @t51) (<= @t51 @t34))) % 0.44/0.64 (define @t56 () (@list @t36 @t34 @t51)) % 0.44/0.64 (define @t57 () (exists @t56 @t55)) % 0.44/0.64 (define @t58 () (@var "J_g" tptp.general)) % 0.44/0.64 (define @t59 () (= @t30 @t58)) % 0.44/0.64 (define @t60 () (and @t59 @t57 @t31)) % 0.44/0.64 (define @t61 () (exists @t43 @t60)) % 0.44/0.64 (define @t62 () (@var "I_g" tptp.general)) % 0.44/0.64 (define @t63 () (= @t30 @t62)) % 0.44/0.64 (define @t64 () (and @t63 @t57 @t31)) % 0.44/0.64 (define @t65 () (exists @t43 @t64)) % 0.44/0.64 (define @t66 () (@var "J1_i" Int)) % 0.44/0.64 (define @t67 () (tptp.f__integer__ @t66)) % 0.44/0.64 (define @t68 () (@var "I1_i" Int)) % 0.44/0.64 (define @t69 () (tptp.f__integer__ @t68)) % 0.44/0.64 (define @t70 () (= @t69 @t62)) % 0.44/0.64 (define @t71 () (* @t68 @t66)) % 0.44/0.64 (define @t72 () (tptp.f__integer__ @t71)) % 0.44/0.64 (define @t73 () (= @t27 @t72)) % 0.44/0.64 (define @t74 () (and @t73 @t70 (= @t67 @t58))) % 0.44/0.64 (define @t75 () (@list @t68 @t66)) % 0.44/0.64 (define @t76 () (exists @t75 @t74)) % 0.44/0.64 (define @t77 () (and @t76 @t65 @t61 @t50 @t44)) % 0.44/0.64 (define @t78 () (=> @t77 @t28)) % 0.44/0.64 (define @t79 () (tptp.hcomposite @t27)) % 0.44/0.64 (define @t80 () (=> @t77 @t79)) % 0.44/0.64 (define @t81 () (and @t80 @t78)) % 0.44/0.64 (define @t82 () (@list @t62 @t58 @t32 @t27)) % 0.44/0.64 (define @t83 () (forall @t82 @t81)) % 0.44/0.64 (define @t84 () (tptp.tcomposite @t30)) % 0.44/0.64 (define @t85 () (tptp.f__integer__ 4)) % 0.44/0.64 (define @t86 () (= @t30 @t85)) % 0.44/0.64 (define @t87 () (@list @t30)) % 0.44/0.64 (define @t88 () (= @t27 @t85)) % 0.44/0.64 (define @t89 () (= @t29 @t62)) % 0.44/0.64 (define @t90 () (and (= @t27 @t62) (exists @t43 (and (exists (@list @t68 @t34) (and (= @t30 (tptp.f__integer__ (+ @t68 @t34))) @t70 @t35)) @t89 @t31)) (exists @t87 (and @t63 (not @t84))))) % 0.44/0.64 (define @t91 () (not @t83)) % 0.44/0.64 (define @t92 () (@var "BOUND_VARIABLE_8207" Int)) % 0.44/0.64 (define @t93 () (@var "BOUND_VARIABLE_8205" Int)) % 0.44/0.64 (define @t94 () (not (>= (+ @t93 (* -1 @t92)) 0))) % 0.44/0.64 (define @t95 () (not (>= @t92 2))) % 0.44/0.64 (define @t96 () (tptp.f__integer__ @t92)) % 0.44/0.64 (define @t97 () (@var "BOUND_VARIABLE_8175" Int)) % 0.44/0.64 (define @t98 () (tptp.f__integer__ @t97)) % 0.44/0.64 (define @t99 () (not (= @t98 @t96))) % 0.44/0.64 (define @t100 () (@var "BOUND_VARIABLE_8222" Int)) % 0.44/0.64 (define @t101 () (tptp.f__integer__ @t100)) % 0.44/0.64 (define @t102 () (tptp.f__integer__ @t93)) % 0.44/0.64 (define @t103 () (not (= @t102 @t101))) % 0.44/0.64 (define @t104 () (@var "BOUND_VARIABLE_8190" Int)) % 0.44/0.64 (define @t105 () (@var "BOUND_VARIABLE_8188" Int)) % 0.44/0.64 (define @t106 () (not (>= (+ @t105 (* -1 @t104)) 0))) % 0.44/0.64 (define @t107 () (not (>= @t104 2))) % 0.44/0.64 (define @t108 () (tptp.f__integer__ @t104)) % 0.44/0.64 (define @t109 () (@var "BOUND_VARIABLE_8173" Int)) % 0.44/0.64 (define @t110 () (tptp.f__integer__ @t109)) % 0.44/0.64 (define @t111 () (not (= @t110 @t108))) % 0.44/0.64 (define @t112 () (tptp.f__integer__ @t105)) % 0.44/0.64 (define @t113 () (not (= @t112 @t101))) % 0.44/0.64 (define @t114 () (tptp.f__integer__ (* @t109 @t97))) % 0.44/0.64 (define @t115 () (tptp.tcomposite @t114)) % 0.44/0.64 (define @t116 () (not (tptp.p__greater__ @t101 @t46))) % 0.44/0.64 (define @t117 () (not (= @t98 @t98))) % 0.44/0.64 (define @t118 () (or @t116 @t115 @t117 @t113 @t111 @t107 @t106 @t103 @t99 @t95 @t94)) % 0.44/0.64 (define @t119 () (@list @t109 @t97 @t105 @t104 @t93 @t92 @t100)) % 0.44/0.64 (define @t120 () (@var "BOUND_VARIABLE_7964" tptp.general)) % 0.44/0.64 (define @t121 () (not (= @t120 @t96))) % 0.44/0.64 (define @t122 () (not (= @t120 @t98))) % 0.44/0.64 (define @t123 () (or @t122 @t116 @t115 @t122 @t113 @t111 @t107 @t106 @t103 @t121 @t95 @t94)) % 0.44/0.64 (define @t124 () (@list @t120)) % 0.44/0.64 (define @t125 () (or @t116 @t115 @t122 @t113 @t111 @t107 @t106 @t103 @t121 @t95 @t94)) % 0.44/0.64 (define @t126 () (forall @t124 @t125)) % 0.44/0.64 (define @t127 () (forall @t119 @t126)) % 0.44/0.64 (define @t128 () (forall (@list @t109 @t97 @t105 @t104 @t93 @t92 @t100 @t120) @t125)) % 0.44/0.64 (define @t129 () (@list @t120 @t109 @t97 @t105 @t104 @t93 @t92 @t100)) % 0.44/0.64 (define @t130 () (not (= @t110 @t110))) % 0.44/0.64 (define @t131 () (or @t116 @t115 @t130 @t122 @t113 @t111 @t107 @t106 @t103 @t121 @t95 @t94)) % 0.44/0.64 (define @t132 () (@var "BOUND_VARIABLE_7962" tptp.general)) % 0.44/0.64 (define @t133 () (not (= @t132 @t108))) % 0.44/0.64 (define @t134 () (not (= @t132 @t110))) % 0.44/0.64 (define @t135 () (or @t134 @t116 @t115 @t134 @t122 @t113 @t133 @t107 @t106 @t103 @t121 @t95 @t94)) % 0.44/0.64 (define @t136 () (@list @t132)) % 0.44/0.64 (define @t137 () (or @t116 @t115 @t134 @t122 @t113 @t133 @t107 @t106 @t103 @t121 @t95 @t94)) % 0.44/0.64 (define @t138 () (forall @t136 @t137)) % 0.44/0.64 (define @t139 () (forall @t129 @t138)) % 0.44/0.64 (define @t140 () (forall (@list @t120 @t109 @t97 @t105 @t104 @t93 @t92 @t100 @t132) @t137)) % 0.44/0.64 (define @t141 () (@list @t132 @t120 @t109 @t97 @t105 @t104 @t93 @t92 @t100)) % 0.44/0.64 (define @t142 () (not (= @t114 @t114))) % 0.44/0.64 (define @t143 () (or @t116 @t115 @t142 @t134 @t122 @t113 @t133 @t107 @t106 @t103 @t121 @t95 @t94)) % 0.44/0.64 (define @t144 () (@var "BOUND_VARIABLE_7968" tptp.general)) % 0.44/0.64 (define @t145 () (not (= @t144 @t114))) % 0.44/0.64 (define @t146 () (tptp.tcomposite @t144)) % 0.44/0.64 (define @t147 () (or @t145 @t116 @t146 @t145 @t134 @t122 @t113 @t133 @t107 @t106 @t103 @t121 @t95 @t94)) % 0.44/0.64 (define @t148 () (@list @t144)) % 0.44/0.64 (define @t149 () (or @t116 @t146 @t145 @t134 @t122 @t113 @t133 @t107 @t106 @t103 @t121 @t95 @t94)) % 0.44/0.64 (define @t150 () (forall @t148 @t149)) % 0.44/0.64 (define @t151 () (forall @t141 @t150)) % 0.44/0.64 (define @t152 () (forall (@list @t132 @t120 @t109 @t97 @t105 @t104 @t93 @t92 @t100 @t144) @t149)) % 0.44/0.64 (define @t153 () (@list @t132 @t120 @t144 @t109 @t97 @t105 @t104 @t93 @t92 @t100)) % 0.44/0.64 (define @t154 () (not (= @t101 @t102))) % 0.44/0.64 (define @t155 () (not (= @t101 @t112))) % 0.44/0.64 (define @t156 () (not (= @t101 @t101))) % 0.44/0.64 (define @t157 () (or @t116 @t156 @t146 @t145 @t134 @t122 @t155 @t133 @t107 @t106 @t154 @t121 @t95 @t94)) % 0.44/0.64 (define @t158 () (@var "BOUND_VARIABLE_7966" tptp.general)) % 0.44/0.64 (define @t159 () (not (= @t158 @t102))) % 0.44/0.64 (define @t160 () (not (= @t158 @t112))) % 0.44/0.64 (define @t161 () (not (= @t158 @t101))) % 0.44/0.64 (define @t162 () (not (tptp.p__greater__ @t158 @t46))) % 0.44/0.64 (define @t163 () (or @t161 @t162 @t161 @t146 @t145 @t134 @t122 @t160 @t133 @t107 @t106 @t159 @t121 @t95 @t94)) % 0.44/0.64 (define @t164 () (@list @t158)) % 0.44/0.64 (define @t165 () (or @t162 @t161 @t146 @t145 @t134 @t122 @t160 @t133 @t107 @t106 @t159 @t121 @t95 @t94)) % 0.44/0.64 (define @t166 () (forall @t164 @t165)) % 0.44/0.64 (define @t167 () (forall @t153 @t166)) % 0.44/0.64 (define @t168 () (forall (@list @t132 @t120 @t144 @t109 @t97 @t105 @t104 @t93 @t92 @t100 @t158) @t165)) % 0.44/0.64 (define @t169 () (@list @t132 @t120 @t158 @t144 @t109 @t97 @t105 @t104 @t93 @t92 @t100)) % 0.44/0.64 (define @t170 () (not (= @t96 @t120))) % 0.44/0.64 (define @t171 () (not (= @t102 @t158))) % 0.44/0.64 (define @t172 () (not (= @t108 @t132))) % 0.44/0.64 (define @t173 () (not (= @t112 @t158))) % 0.44/0.64 (define @t174 () (not (= @t98 @t120))) % 0.44/0.64 (define @t175 () (not (= @t110 @t132))) % 0.44/0.64 (define @t176 () (not (= @t114 @t144))) % 0.44/0.64 (define @t177 () (not (= @t101 @t158))) % 0.44/0.64 (define @t178 () (or @t162 @t177 @t146 @t176 @t175 @t174 @t173 @t172 @t107 @t106 @t171 @t170 @t95 @t94)) % 0.44/0.64 (define @t179 () (or @t171 @t170 @t95 @t94)) % 0.44/0.64 (define @t180 () (or @t173 @t172 @t107 @t106)) % 0.44/0.64 (define @t181 () (or @t176 @t175 @t174)) % 0.44/0.64 (define @t182 () (or @t181 @t180 @t179 @t162 @t177 @t146)) % 0.44/0.64 (define @t183 () (forall @t169 @t182)) % 0.44/0.64 (define @t184 () (forall @t119 @t182)) % 0.44/0.64 (define @t185 () (@list @t132 @t120 @t158 @t144)) % 0.44/0.64 (define @t186 () (forall (@list @t100) @t177)) % 0.44/0.64 (define @t187 () (@var "BOUND_VARIABLE_7888" Int)) % 0.44/0.64 (define @t188 () (@list @t187)) % 0.44/0.64 (define @t189 () (forall (@list @t93 @t92) @t179)) % 0.44/0.64 (define @t190 () (@var "BOUND_VARIABLE_7786" Int)) % 0.44/0.64 (define @t191 () (@var "BOUND_VARIABLE_7784" Int)) % 0.44/0.64 (define @t192 () (@list @t191 @t190)) % 0.44/0.64 (define @t193 () (forall (@list @t105 @t104) @t180)) % 0.44/0.64 (define @t194 () (@var "BOUND_VARIABLE_7736" Int)) % 0.44/0.64 (define @t195 () (@var "BOUND_VARIABLE_7734" Int)) % 0.44/0.64 (define @t196 () (@list @t195 @t194)) % 0.44/0.64 (define @t197 () (forall (@list @t109 @t97) @t181)) % 0.44/0.64 (define @t198 () (@list @t68 @t66)) % 0.44/0.64 (define @t199 () (or @t197 @t193 @t189 @t162 @t186 @t146)) % 0.44/0.64 (define @t200 () (tptp.f__integer__ @t187)) % 0.44/0.64 (define @t201 () (@list @t187)) % 0.44/0.64 (define @t202 () (not (>= (+ @t191 (* -1 @t190)) 0))) % 0.44/0.64 (define @t203 () (not (>= @t190 2))) % 0.44/0.64 (define @t204 () (tptp.f__integer__ @t190)) % 0.44/0.64 (define @t205 () (tptp.f__integer__ @t191)) % 0.44/0.64 (define @t206 () (@list @t191 @t190)) % 0.44/0.64 (define @t207 () (not (>= (+ @t195 (* -1 @t194)) 0))) % 0.44/0.64 (define @t208 () (not (>= @t194 2))) % 0.44/0.64 (define @t209 () (tptp.f__integer__ @t194)) % 0.44/0.64 (define @t210 () (tptp.f__integer__ @t195)) % 0.44/0.64 (define @t211 () (@list @t195 @t194)) % 0.44/0.64 (define @t212 () (* @t68 @t66)) % 0.44/0.64 (define @t213 () (tptp.f__integer__ @t212)) % 0.44/0.64 (define @t214 () (not (= @t158 @t200))) % 0.44/0.64 (define @t215 () (forall @t201 @t214)) % 0.44/0.64 (define @t216 () (not (= @t120 @t204))) % 0.44/0.64 (define @t217 () (not (= @t158 @t205))) % 0.44/0.64 (define @t218 () (or @t217 @t216 @t203 @t202)) % 0.44/0.64 (define @t219 () (forall @t206 @t218)) % 0.44/0.64 (define @t220 () (not (= @t132 @t209))) % 0.44/0.64 (define @t221 () (not (= @t158 @t210))) % 0.44/0.64 (define @t222 () (or @t221 @t220 @t208 @t207)) % 0.44/0.64 (define @t223 () (forall @t211 @t222)) % 0.44/0.64 (define @t224 () (not (= @t120 @t67))) % 0.44/0.64 (define @t225 () (not (= @t132 @t69))) % 0.44/0.64 (define @t226 () (not (= @t144 @t213))) % 0.44/0.64 (define @t227 () (or @t226 @t225 @t224)) % 0.44/0.64 (define @t228 () (forall @t75 @t227)) % 0.44/0.64 (define @t229 () (or @t228 @t223 @t219 @t162 @t215 @t146)) % 0.44/0.64 (define @t230 () (forall @t185 @t229)) % 0.44/0.64 (define @t231 () (@var "BOUND_VARIABLE_8059" Int)) % 0.44/0.64 (define @t232 () (@var "BOUND_VARIABLE_8057" Int)) % 0.44/0.64 (define @t233 () (not (>= (+ @t232 (* -1 @t231)) 0))) % 0.44/0.64 (define @t234 () (not (>= @t231 2))) % 0.44/0.64 (define @t235 () (tptp.f__integer__ @t231)) % 0.44/0.64 (define @t236 () (@var "BOUND_VARIABLE_8027" Int)) % 0.44/0.64 (define @t237 () (tptp.f__integer__ @t236)) % 0.44/0.64 (define @t238 () (not (= @t237 @t235))) % 0.44/0.64 (define @t239 () (@var "BOUND_VARIABLE_8074" Int)) % 0.44/0.64 (define @t240 () (tptp.f__integer__ @t239)) % 0.44/0.64 (define @t241 () (tptp.f__integer__ @t232)) % 0.44/0.64 (define @t242 () (not (= @t241 @t240))) % 0.44/0.64 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(define @t259 () (@var "BOUND_VARIABLE_7927" tptp.general)) % 0.44/0.64 (define @t260 () (not (= @t259 @t235))) % 0.44/0.64 (define @t261 () (not (= @t259 @t237))) % 0.44/0.64 (define @t262 () (or @t261 @t255 @t254 @t261 @t252 @t250 @t246 @t245 @t242 @t260 @t234 @t233)) % 0.44/0.64 (define @t263 () (@list @t259)) % 0.44/0.64 (define @t264 () (or @t255 @t254 @t261 @t252 @t250 @t246 @t245 @t242 @t260 @t234 @t233)) % 0.44/0.64 (define @t265 () (forall @t263 @t264)) % 0.44/0.64 (define @t266 () (forall @t258 @t265)) % 0.44/0.64 (define @t267 () (forall (@list @t248 @t236 @t244 @t243 @t232 @t231 @t239 @t259) @t264)) % 0.44/0.64 (define @t268 () (@list @t259 @t248 @t236 @t244 @t243 @t232 @t231 @t239)) % 0.44/0.64 (define @t269 () (not (= @t249 @t249))) % 0.44/0.64 (define @t270 () (or @t255 @t254 @t269 @t261 @t252 @t250 @t246 @t245 @t242 @t260 @t234 @t233)) % 0.44/0.64 (define @t271 () (@var "BOUND_VARIABLE_7925" tptp.general)) % 0.44/0.64 (define @t272 () (not (= @t271 @t247))) % 0.44/0.64 (define @t273 () (not (= @t271 @t249))) % 0.44/0.64 (define @t274 () (or @t273 @t255 @t254 @t273 @t261 @t252 @t272 @t246 @t245 @t242 @t260 @t234 @t233)) % 0.44/0.64 (define @t275 () (@list @t271)) % 0.44/0.64 (define @t276 () (or @t255 @t254 @t273 @t261 @t252 @t272 @t246 @t245 @t242 @t260 @t234 @t233)) % 0.44/0.64 (define @t277 () (forall @t275 @t276)) % 0.44/0.64 (define @t278 () (forall @t268 @t277)) % 0.44/0.64 (define @t279 () (forall (@list @t259 @t248 @t236 @t244 @t243 @t232 @t231 @t239 @t271) @t276)) % 0.44/0.64 (define @t280 () (@list @t271 @t259 @t248 @t236 @t244 @t243 @t232 @t231 @t239)) % 0.44/0.64 (define @t281 () (not (= @t253 @t253))) % 0.44/0.64 (define @t282 () (or @t255 @t254 @t281 @t273 @t261 @t252 @t272 @t246 @t245 @t242 @t260 @t234 @t233)) % 0.44/0.64 (define @t283 () (@var "BOUND_VARIABLE_7931" tptp.general)) % 0.44/0.64 (define @t284 () (not (= @t283 @t253))) % 0.44/0.64 (define @t285 () (tptp.hcomposite @t283)) % 0.44/0.64 (define @t286 () (or @t284 @t255 @t285 @t284 @t273 @t261 @t252 @t272 @t246 @t245 @t242 @t260 @t234 @t233)) % 0.44/0.64 (define @t287 () (@list @t283)) % 0.44/0.64 (define @t288 () (or @t255 @t285 @t284 @t273 @t261 @t252 @t272 @t246 @t245 @t242 @t260 @t234 @t233)) % 0.44/0.64 (define @t289 () (forall @t287 @t288)) % 0.44/0.64 (define @t290 () (forall @t280 @t289)) % 0.44/0.64 (define @t291 () (forall (@list @t271 @t259 @t248 @t236 @t244 @t243 @t232 @t231 @t239 @t283) @t288)) % 0.44/0.64 (define @t292 () (@list @t271 @t259 @t283 @t248 @t236 @t244 @t243 @t232 @t231 @t239)) % 0.44/0.64 (define @t293 () (not (= @t240 @t241))) % 0.44/0.64 (define @t294 () (not (= @t240 @t251))) % 0.44/0.64 (define @t295 () (not (= @t240 @t240))) % 0.44/0.64 (define @t296 () (or @t255 @t295 @t285 @t284 @t273 @t261 @t294 @t272 @t246 @t245 @t293 @t260 @t234 @t233)) % 0.44/0.64 (define @t297 () (@var "BOUND_VARIABLE_7929" tptp.general)) % 0.44/0.64 (define @t298 () (not (= @t297 @t241))) % 0.44/0.64 (define @t299 () (not (= @t297 @t251))) % 0.44/0.64 (define @t300 () (not (= @t297 @t240))) % 0.44/0.64 (define @t301 () (not (tptp.p__greater__ @t297 @t46))) % 0.44/0.64 (define @t302 () (or @t300 @t301 @t300 @t285 @t284 @t273 @t261 @t299 @t272 @t246 @t245 @t298 @t260 @t234 @t233)) % 0.44/0.64 (define @t303 () (@list @t297)) % 0.44/0.64 (define @t304 () (or @t301 @t300 @t285 @t284 @t273 @t261 @t299 @t272 @t246 @t245 @t298 @t260 @t234 @t233)) % 0.44/0.64 (define @t305 () (forall @t303 @t304)) % 0.44/0.64 (define @t306 () (forall @t292 @t305)) % 0.44/0.64 (define @t307 () (forall (@list @t271 @t259 @t283 @t248 @t236 @t244 @t243 @t232 @t231 @t239 @t297) @t304)) % 0.44/0.64 (define @t308 () (@list @t271 @t259 @t297 @t283 @t248 @t236 @t244 @t243 @t232 @t231 @t239)) % 0.44/0.64 (define @t309 () (not (= @t235 @t259))) % 0.44/0.64 (define @t310 () (not (= @t241 @t297))) % 0.44/0.64 (define @t311 () (not (= @t247 @t271))) % 0.44/0.64 (define @t312 () (not (= @t251 @t297))) % 0.44/0.64 (define @t313 () (not (= @t237 @t259))) % 0.44/0.64 (define @t314 () (not (= @t249 @t271))) % 0.44/0.64 (define @t315 () (not (= @t253 @t283))) % 0.44/0.64 (define @t316 () (not (= @t240 @t297))) % 0.44/0.64 (define @t317 () (or @t301 @t316 @t285 @t315 @t314 @t313 @t312 @t311 @t246 @t245 @t310 @t309 @t234 @t233)) % 0.44/0.64 (define @t318 () (or @t310 @t309 @t234 @t233)) % 0.44/0.64 (define @t319 () (or @t312 @t311 @t246 @t245)) % 0.44/0.64 (define @t320 () (or @t315 @t314 @t313)) % 0.44/0.64 (define @t321 () (or @t320 @t319 @t318 @t301 @t316 @t285)) % 0.44/0.64 (define @t322 () (forall @t308 @t321)) % 0.44/0.64 (define @t323 () (forall @t258 @t321)) % 0.44/0.64 (define @t324 () (@list @t271 @t259 @t297 @t283)) % 0.44/0.64 (define @t325 () (forall (@list @t239) @t316)) % 0.44/0.64 (define @t326 () (forall (@list @t232 @t231) @t318)) % 0.44/0.64 (define @t327 () (forall (@list @t244 @t243) @t319)) % 0.44/0.64 (define @t328 () (forall (@list @t248 @t236) @t320)) % 0.44/0.64 (define @t329 () (or @t328 @t327 @t326 @t301 @t325 @t285)) % 0.44/0.64 (define @t330 () (not (= @t297 @t200))) % 0.44/0.64 (define @t331 () (forall @t201 @t330)) % 0.44/0.64 (define @t332 () (not (= @t259 @t204))) % 0.44/0.64 (define @t333 () (not (= @t297 @t205))) % 0.44/0.64 (define @t334 () (or @t333 @t332 @t203 @t202)) % 0.44/0.64 (define @t335 () (forall @t206 @t334)) % 0.44/0.64 (define @t336 () (not (= @t271 @t209))) % 0.44/0.64 (define @t337 () (not (= @t297 @t210))) % 0.44/0.64 (define @t338 () (or @t337 @t336 @t208 @t207)) % 0.44/0.64 (define @t339 () (forall @t211 @t338)) % 0.44/0.64 (define @t340 () (not (= @t259 @t67))) % 0.44/0.64 (define @t341 () (not (= @t271 @t69))) % 0.44/0.64 (define @t342 () (not (= @t283 @t213))) % 0.44/0.64 (define @t343 () (or @t342 @t341 @t340)) % 0.44/0.64 (define @t344 () (forall @t75 @t343)) % 0.44/0.64 (define @t345 () (or @t344 @t339 @t335 @t301 @t331 @t285)) % 0.44/0.64 (define @t346 () (forall @t324 @t345)) % 0.44/0.64 (define @t347 () (not (= @t32 @t200))) % 0.44/0.64 (define @t348 () (forall @t201 @t347)) % 0.44/0.64 (define @t349 () (tptp.p__greater__ @t32 @t46)) % 0.44/0.64 (define @t350 () (not @t349)) % 0.44/0.64 (define @t351 () (not (= @t58 @t204))) % 0.44/0.64 (define @t352 () (not (= @t32 @t205))) % 0.44/0.64 (define @t353 () (or @t352 @t351 @t203 @t202)) % 0.44/0.64 (define @t354 () (forall @t206 @t353)) % 0.44/0.64 (define @t355 () (not (= @t62 @t209))) % 0.44/0.64 (define @t356 () (not (= @t32 @t210))) % 0.44/0.64 (define @t357 () (or @t356 @t355 @t208 @t207)) % 0.44/0.64 (define @t358 () (forall @t211 @t357)) % 0.44/0.64 (define @t359 () (= @t58 @t67)) % 0.44/0.64 (define @t360 () (not @t359)) % 0.44/0.64 (define @t361 () (= @t62 @t69)) % 0.44/0.64 (define @t362 () (not @t361)) % 0.44/0.64 (define @t363 () (= @t27 @t213)) % 0.44/0.64 (define @t364 () (not @t363)) % 0.44/0.64 (define @t365 () (or @t364 @t362 @t360)) % 0.44/0.64 (define @t366 () (forall @t75 @t365)) % 0.44/0.64 (define @t367 () (or @t366 @t358 @t354 @t350 @t348 @t28)) % 0.44/0.64 (define @t368 () (forall @t82 @t367)) % 0.44/0.64 (define @t369 () (@list @t62 @t58 @t32 @t27)) % 0.44/0.64 (define @t370 () (or @t366 @t358 @t354 @t350 @t348 @t79)) % 0.44/0.64 (define @t371 () (forall @t82 @t370)) % 0.44/0.64 (define @t372 () (and @t371 @t368)) % 0.44/0.64 (define @t373 () (or @t366 @t358 @t354 @t350 @t348)) % 0.44/0.64 (define @t374 () (not @t348)) % 0.44/0.64 (define @t375 () (not @t374)) % 0.44/0.64 (define @t376 () (not @t354)) % 0.44/0.64 (define @t377 () (not @t376)) % 0.44/0.64 (define @t378 () (not @t358)) % 0.44/0.64 (define @t379 () (not @t378)) % 0.44/0.64 (define @t380 () (not @t366)) % 0.44/0.64 (define @t381 () (not @t380)) % 0.44/0.64 (define @t382 () (or @t381 @t379 @t377 @t350 @t375)) % 0.44/0.64 (define @t383 () (and @t380 @t378 @t376 @t349 @t374)) % 0.44/0.64 (define @t384 () (not @t383)) % 0.44/0.64 (define @t385 () (and (=> @t383 @t79) (=> @t383 @t28))) % 0.44/0.64 (define @t386 () (not (= @t32 @t32))) % 0.44/0.64 (define @t387 () (or @t386 @t347 @t347)) % 0.44/0.64 (define @t388 () (not (= @t30 @t200))) % 0.44/0.64 (define @t389 () (= @t32 @t30)) % 0.44/0.64 (define @t390 () (not @t389)) % 0.44/0.64 (define @t391 () (not @t48)) % 0.44/0.64 (define @t392 () (or @t390 @t390 @t388 @t347)) % 0.44/0.64 (define @t393 () (or @t390 @t388 @t347)) % 0.44/0.64 (define @t394 () (forall @t87 @t393)) % 0.44/0.64 (define @t395 () (forall @t201 @t394)) % 0.44/0.64 (define @t396 () (forall (@list @t187 @t30) @t393)) % 0.44/0.64 (define @t397 () (@list @t30 @t187)) % 0.44/0.64 (define @t398 () (or @t386 @t391 @t388 @t347)) % 0.44/0.64 (define @t399 () (not @t31)) % 0.44/0.64 (define @t400 () (= @t32 @t29)) % 0.44/0.64 (define @t401 () (not @t400)) % 0.44/0.64 (define @t402 () (@list @t29)) % 0.44/0.64 (define @t403 () (or @t401 @t401 @t399 @t388 @t347)) % 0.44/0.64 (define @t404 () (or @t401 @t399 @t388 @t347)) % 0.44/0.64 (define @t405 () (forall @t402 @t404)) % 0.44/0.64 (define @t406 () (forall @t397 @t405)) % 0.44/0.64 (define @t407 () (forall (@list @t30 @t187 @t29) @t404)) % 0.44/0.64 (define @t408 () (@list @t30 @t29 @t187)) % 0.44/0.64 (define @t409 () (or @t388 @t347)) % 0.44/0.64 (define @t410 () (or @t409 @t401 @t399)) % 0.44/0.64 (define @t411 () (forall @t408 @t410)) % 0.44/0.64 (define @t412 () (forall @t201 @t410)) % 0.44/0.64 (define @t413 () (forall @t201 @t409)) % 0.44/0.64 (define @t414 () (or @t413 @t401 @t399)) % 0.44/0.64 (define @t415 () (= @t32 @t37)) % 0.44/0.64 (define @t416 () (not @t415)) % 0.44/0.64 (define @t417 () (not (= @t30 @t37))) % 0.44/0.64 (define @t418 () (or @t417 @t416)) % 0.44/0.64 (define @t419 () (@list @t36)) % 0.44/0.64 (define @t420 () (forall @t419 @t418)) % 0.44/0.64 (define @t421 () (not @t420)) % 0.44/0.64 (define @t422 () (not @t421)) % 0.44/0.64 (define @t423 () (or @t422 @t401 @t399)) % 0.44/0.64 (define @t424 () (and @t421 @t400 @t31)) % 0.44/0.64 (define @t425 () (forall @t43 (not @t424))) % 0.44/0.64 (define @t426 () (not @t425)) % 0.44/0.64 (define @t427 () (= 0 0)) % 0.44/0.64 (define @t428 () (not @t427)) % 0.44/0.64 (define @t429 () (+ @t36 0)) % 0.44/0.64 (define @t430 () (tptp.f__integer__ @t429)) % 0.44/0.64 (define @t431 () (= @t30 @t430)) % 0.44/0.64 (define @t432 () (not @t431)) % 0.44/0.64 (define @t433 () (or @t432 @t416 @t428)) % 0.44/0.64 (define @t434 () (not @t35)) % 0.44/0.64 (define @t435 () (not @t38)) % 0.44/0.64 (define @t436 () (or @t434 @t435 @t416 @t434)) % 0.44/0.64 (define @t437 () (@list @t34)) % 0.44/0.64 (define @t438 () (or @t435 @t416 @t434)) % 0.44/0.64 (define @t439 () (forall @t437 @t438)) % 0.44/0.64 (define @t440 () (forall @t419 @t439)) % 0.44/0.64 (define @t441 () (and @t38 @t415 @t35)) % 0.44/0.64 (define @t442 () (forall @t40 (not @t441))) % 0.44/0.64 (define @t443 () (not @t442)) % 0.44/0.64 (define @t444 () (not (= @t46 @t46))) % 0.44/0.64 (define @t445 () (or @t444 @t350)) % 0.44/0.64 (define @t446 () (not (tptp.p__greater__ @t32 @t29))) % 0.44/0.64 (define @t447 () (not @t47)) % 0.44/0.64 (define @t448 () (or @t447 @t447 @t446)) % 0.44/0.64 (define @t449 () (or @t447 @t446)) % 0.44/0.64 (define @t450 () (or @t386 @t447 @t446)) % 0.44/0.64 (define @t451 () (not @t45)) % 0.44/0.64 (define @t452 () (or @t390 @t390 @t447 @t451)) % 0.44/0.64 (define @t453 () (or @t390 @t447 @t451)) % 0.44/0.64 (define @t454 () (forall @t87 @t453)) % 0.44/0.64 (define @t455 () (forall @t402 @t454)) % 0.44/0.64 (define @t456 () (forall (@list @t29 @t30) @t453)) % 0.44/0.64 (define @t457 () (and @t389 @t47 @t45)) % 0.44/0.64 (define @t458 () (forall @t43 (not @t457))) % 0.44/0.64 (define @t459 () (not @t458)) % 0.44/0.64 (define @t460 () (not (= @t58 @t58))) % 0.44/0.64 (define @t461 () (or @t460 @t352 @t351 @t203 @t202)) % 0.44/0.64 (define @t462 () (not (= @t29 @t204))) % 0.44/0.64 (define @t463 () (not (= @t58 @t29))) % 0.44/0.64 (define @t464 () (or @t463 @t463 @t352 @t462 @t203 @t202)) % 0.44/0.64 (define @t465 () (or @t463 @t352 @t462 @t203 @t202)) % 0.44/0.64 (define @t466 () (forall @t402 @t465)) % 0.44/0.64 (define @t467 () (forall @t206 @t466)) % 0.44/0.64 (define @t468 () (forall (@list @t191 @t190 @t29) @t465)) % 0.44/0.64 (define @t469 () (@list @t29 @t191 @t190)) % 0.44/0.64 (define @t470 () (or @t460 @t463 @t352 @t462 @t203 @t202)) % 0.44/0.64 (define @t471 () (= @t58 @t30)) % 0.44/0.64 (define @t472 () (not @t471)) % 0.44/0.64 (define @t473 () (or @t472 @t472 @t399 @t352 @t462 @t203 @t202)) % 0.44/0.64 (define @t474 () (or @t472 @t399 @t352 @t462 @t203 @t202)) % 0.44/0.64 (define @t475 () (forall @t87 @t474)) % 0.44/0.64 (define @t476 () (forall @t469 @t475)) % 0.44/0.64 (define @t477 () (forall (@list @t29 @t191 @t190 @t30) @t474)) % 0.44/0.64 (define @t478 () (@list @t30 @t29 @t191 @t190)) % 0.44/0.64 (define @t479 () (or @t352 @t462 @t203 @t202)) % 0.44/0.64 (define @t480 () (or @t472 @t479 @t399)) % 0.44/0.64 (define @t481 () (forall @t478 @t480)) % 0.44/0.64 (define @t482 () (forall @t206 @t480)) % 0.44/0.64 (define @t483 () (forall @t206 @t479)) % 0.44/0.64 (define @t484 () (@list @t34 @t51)) % 0.44/0.64 (define @t485 () (or @t472 @t483 @t399)) % 0.44/0.64 (define @t486 () (* -1 @t51)) % 0.44/0.64 (define @t487 () (+ @t34 @t486)) % 0.44/0.64 (define @t488 () (>= @t487 0)) % 0.44/0.64 (define @t489 () (not @t488)) % 0.44/0.64 (define @t490 () (not (>= @t51 2))) % 0.44/0.64 (define @t491 () (not @t52)) % 0.44/0.64 (define @t492 () (= @t32 @t53)) % 0.44/0.64 (define @t493 () (not @t492)) % 0.44/0.64 (define @t494 () (or @t493 @t491 @t490 @t489)) % 0.44/0.64 (define @t495 () (@list @t34 @t51)) % 0.44/0.64 (define @t496 () (forall @t495 @t494)) % 0.44/0.64 (define @t497 () (not @t496)) % 0.44/0.64 (define @t498 () (not @t497)) % 0.44/0.64 (define @t499 () (or @t472 @t498 @t399)) % 0.44/0.64 (define @t500 () (or @t498 @t399)) % 0.44/0.64 (define @t501 () (not (and @t497 @t31))) % 0.44/0.64 (define @t502 () (and @t471 @t497 @t31)) % 0.44/0.64 (define @t503 () (forall @t43 (not @t502))) % 0.44/0.64 (define @t504 () (not @t503)) % 0.44/0.64 (define @t505 () (+ 2 @t486)) % 0.44/0.64 (define @t506 () (+ @t51 1)) % 0.44/0.64 (define @t507 () (>= @t505 1)) % 0.44/0.64 (define @t508 () (= 2 2)) % 0.44/0.64 (define @t509 () (not @t508)) % 0.44/0.64 (define @t510 () (or @t509 @t493 @t491 @t507 @t489)) % 0.44/0.64 (define @t511 () (+ @t36 @t486)) % 0.44/0.64 (define @t512 () (>= @t511 1)) % 0.44/0.64 (define @t513 () (not @t54)) % 0.44/0.64 (define @t514 () (or @t513 @t513 @t493 @t491 @t512 @t489)) % 0.44/0.64 (define @t515 () (or @t513 @t493 @t491 @t512 @t489)) % 0.44/0.64 (define @t516 () (forall @t419 @t515)) % 0.44/0.64 (define @t517 () (forall @t495 @t516)) % 0.44/0.64 (define @t518 () (forall (@list @t34 @t51 @t36) @t515)) % 0.44/0.64 (define @t519 () (not @t512)) % 0.44/0.64 (define @t520 () (not @t519)) % 0.44/0.64 (define @t521 () (or @t513 @t493 @t491 @t520 @t489)) % 0.44/0.64 (define @t522 () (and @t54 @t492 @t52 @t519 @t488)) % 0.44/0.64 (define @t523 () (forall @t56 (not @t522))) % 0.44/0.64 (define @t524 () (not @t523)) % 0.44/0.64 (define @t525 () (>= @t36 @t506)) % 0.44/0.64 (define @t526 () (not (= @t62 @t62))) % 0.44/0.64 (define @t527 () (or @t526 @t356 @t355 @t208 @t207)) % 0.44/0.64 (define @t528 () (not (= @t29 @t209))) % 0.44/0.64 (define @t529 () (not (= @t62 @t29))) % 0.44/0.64 (define @t530 () (or @t529 @t529 @t356 @t528 @t208 @t207)) % 0.44/0.64 (define @t531 () (or @t529 @t356 @t528 @t208 @t207)) % 0.44/0.64 (define @t532 () (forall @t402 @t531)) % 0.44/0.64 (define @t533 () (forall @t211 @t532)) % 0.44/0.64 (define @t534 () (forall (@list @t195 @t194 @t29) @t531)) % 0.44/0.64 (define @t535 () (@list @t29 @t195 @t194)) % 0.44/0.64 (define @t536 () (or @t526 @t529 @t356 @t528 @t208 @t207)) % 0.44/0.64 (define @t537 () (= @t62 @t30)) % 0.44/0.64 (define @t538 () (not @t537)) % 0.44/0.64 (define @t539 () (or @t538 @t538 @t399 @t356 @t528 @t208 @t207)) % 0.44/0.64 (define @t540 () (or @t538 @t399 @t356 @t528 @t208 @t207)) % 0.44/0.64 (define @t541 () (forall @t87 @t540)) % 0.44/0.64 (define @t542 () (forall @t535 @t541)) % 0.44/0.64 (define @t543 () (forall (@list @t29 @t195 @t194 @t30) @t540)) % 0.44/0.64 (define @t544 () (@list @t30 @t29 @t195 @t194)) % 0.44/0.64 (define @t545 () (or @t356 @t528 @t208 @t207)) % 0.44/0.64 (define @t546 () (or @t538 @t545 @t399)) % 0.44/0.64 (define @t547 () (forall @t544 @t546)) % 0.44/0.64 (define @t548 () (forall @t211 @t546)) % 0.44/0.64 (define @t549 () (forall @t211 @t545)) % 0.44/0.64 (define @t550 () (or @t538 @t549 @t399)) % 0.44/0.64 (define @t551 () (or @t538 @t498 @t399)) % 0.44/0.64 (define @t552 () (and @t537 @t497 @t31)) % 0.44/0.64 (define @t553 () (forall @t43 (not @t552))) % 0.44/0.64 (define @t554 () (not @t553)) % 0.44/0.64 (define @t555 () (and @t363 @t361 @t359)) % 0.44/0.64 (define @t556 () (forall @t75 (not @t555))) % 0.44/0.64 (define @t557 () (not @t556)) % 0.44/0.64 (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2))))) % 0.44/0.64 (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7)))))) % 0.44/0.64 (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__)))) % 0.44/0.64 (assume @p4 (forall @t13 (= (= @t12 @t11) (= @t10 @t9)))) % 0.44/0.64 (assume @p5 (forall (@list @t15 @t14) (= (= (tptp.f__symbolic__ @t15) (tptp.f__symbolic__ @t14)) (= @t15 @t14)))) % 0.44/0.64 (assume @p6 (forall @t13 (= (tptp.p__less_equal__ @t12 @t11) (<= @t10 @t9)))) % 0.44/0.64 (assume @p7 (forall @t20 (=> (and @t19 @t18) @t17))) % 0.44/0.64 (assume @p8 (forall (@list @t8 @t16 @t21) (=> (and @t19 (tptp.p__less_equal__ @t16 @t21)) (tptp.p__less_equal__ @t8 @t21)))) % 0.44/0.64 (assume @p9 (forall @t20 (or @t19 @t18))) % 0.44/0.64 (assume @p10 (forall @t20 (= (tptp.p__less__ @t8 @t16) (and @t19 @t22)))) % 0.44/0.64 (assume @p11 (forall @t20 (= (tptp.p__greater_equal__ @t8 @t16) @t18))) % 0.44/0.64 (assume @p12 (forall @t20 (= (tptp.p__greater__ @t8 @t16) (and @t18 @t22)))) % 0.44/0.64 (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2))) % 0.44/0.64 (assume @p14 (forall (@list @t1 @t23) (tptp.p__less__ @t2 @t24))) % 0.44/0.64 (assume @p15 (forall (@list @t23) (tptp.p__less__ @t24 tptp.c__supremum__))) % 0.44/0.64 (assume @p16 (forall @t26 (=> (tptp.hcomposite @t25) (tptp.tcomposite @t25)))) % 0.44/0.64 (assume @p17 (forall @t26 (=> (tptp.hprime @t25) (tptp.tprime @t25)))) % 0.44/0.64 (assume @p18 @t83) % 0.44/0.64 (assume @p19 (forall (@list @t27) (and (=> (and @t88 (exists @t87 (and @t86 (tptp.hcomposite @t30)))) @t79) (=> (and @t88 (exists @t87 (and @t86 @t84))) @t28)))) % 0.44/0.64 (assume @p20 (forall (@list @t62 @t27) (and (=> @t90 (tptp.hprime @t27)) (=> @t90 (tptp.tprime @t27))))) % 0.44/0.64 (assume @p21 @t91) % 0.44/0.64 (assume @p22 true) % 0.44/0.64 (step @p23 :rule aci_norm :args ((= (or @t116 @t115 false @t113 @t111 @t107 @t106 @t103 @t99 @t95 @t94) (or @t116 @t115 @t113 @t111 @t107 @t106 @t103 @t99 @t95 @t94)))) % 0.44/0.64 (step @p24 :rule refl :args (@t94)) % 0.44/0.64 (step @p25 :rule refl :args (@t95)) % 0.44/0.64 (step @p26 :rule refl :args (@t99)) % 0.44/0.64 (step @p27 :rule refl :args (@t103)) % 0.44/0.64 (step @p28 :rule refl :args (@t106)) % 0.44/0.64 (step @p29 :rule refl :args (@t107)) % 0.44/0.64 (step @p30 :rule refl :args (@t111)) % 0.44/0.64 (step @p31 :rule refl :args (@t113)) % 0.44/0.64 (step @p32 :rule evaluate :args ((not true))) % 0.44/0.64 (step @p33 :rule eq-refl :args (@t98)) % 0.44/0.64 (step @p34 :rule cong :premises (@p33) :args (@t117)) % 0.44/0.64 (step @p35 :rule trans :premises (@p34 @p32)) % 0.44/0.64 (step @p36 :rule refl :args (@t115)) % 0.44/0.64 (step @p37 :rule refl :args (@t116)) % 0.44/0.64 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24) :args (@t118)) % 0.44/0.64 (step @p39 :rule trans :premises (@p38 @p23)) % 0.44/0.64 (step @p40 :rule cong :premises (@p39) :args ((forall @t119 @t118))) % 0.44/0.64 (step @p41 :rule quant-var-elim-eq :args ((= (forall @t124 @t123) @t118))) % 0.44/0.64 (step @p42 :rule aci_norm :args ((= @t125 @t123))) % 0.44/0.64 (step @p43 :rule cong :premises (@p42) :args (@t126)) % 0.44/0.64 (step @p44 :rule trans :premises (@p43 @p41)) % 0.44/0.64 (step @p45 :rule cong :premises (@p44) :args (@t127)) % 0.44/0.64 (step @p46 :rule quant-merge-prenex :args ((= @t127 @t128))) % 0.44/0.64 (step @p47 :rule symm :premises (@p46)) % 0.44/0.64 (step @p48 :rule quant_var_reordering :args ((= (forall @t129 @t125) @t128))) % 0.44/0.64 (step @p49 :rule trans :premises (@p48 @p47 @p45)) % 0.44/0.64 (step @p50 :rule trans :premises (@p49 @p40)) % 0.44/0.64 (step @p51 :rule aci_norm :args ((= (or @t116 @t115 false @t122 @t113 @t111 @t107 @t106 @t103 @t121 @t95 @t94) @t125))) % 0.44/0.64 (step @p52 :rule refl :args (@t121)) % 0.44/0.64 (step @p53 :rule refl :args (@t122)) % 0.44/0.64 (step @p54 :rule eq-refl :args (@t110)) % 0.44/0.64 (step @p55 :rule cong :premises (@p54) :args (@t130)) % 0.44/0.64 (step @p56 :rule trans :premises (@p55 @p32)) % 0.44/0.64 (step @p57 :rule nary_cong :premises (@p37 @p36 @p56 @p53 @p31 @p30 @p29 @p28 @p27 @p52 @p25 @p24) :args (@t131)) % 0.44/0.64 (step @p58 :rule trans :premises (@p57 @p51)) % 0.44/0.64 (step @p59 :rule cong :premises (@p58) :args ((forall @t129 @t131))) % 0.44/0.64 (step @p60 :rule trans :premises (@p59 @p50)) % 0.44/0.64 (step @p61 :rule quant-var-elim-eq :args ((= (forall @t136 @t135) @t131))) % 0.44/0.64 (step @p62 :rule aci_norm :args ((= @t137 @t135))) % 0.44/0.64 (step @p63 :rule cong :premises (@p62) :args (@t138)) % 0.44/0.64 (step @p64 :rule trans :premises (@p63 @p61)) % 0.44/0.64 (step @p65 :rule cong :premises (@p64) :args (@t139)) % 0.44/0.64 (step @p66 :rule quant-merge-prenex :args ((= @t139 @t140))) % 0.44/0.64 (step @p67 :rule symm :premises (@p66)) % 0.44/0.64 (step @p68 :rule quant_var_reordering :args ((= (forall @t141 @t137) @t140))) % 0.44/0.64 (step @p69 :rule trans :premises (@p68 @p67 @p65)) % 0.44/0.64 (step @p70 :rule trans :premises (@p69 @p60)) % 0.44/0.64 (step @p71 :rule aci_norm :args ((= (or @t116 @t115 false @t134 @t122 @t113 @t133 @t107 @t106 @t103 @t121 @t95 @t94) @t137))) % 0.44/0.64 (step @p72 :rule refl :args (@t133)) % 0.44/0.64 (step @p73 :rule refl :args (@t134)) % 0.44/0.64 (step @p74 :rule eq-refl :args (@t114)) % 0.44/0.64 (step @p75 :rule cong :premises (@p74) :args (@t142)) % 0.44/0.64 (step @p76 :rule trans :premises (@p75 @p32)) % 0.44/0.64 (step @p77 :rule nary_cong :premises (@p37 @p36 @p76 @p73 @p53 @p31 @p72 @p29 @p28 @p27 @p52 @p25 @p24) :args (@t143)) % 0.44/0.64 (step @p78 :rule trans :premises (@p77 @p71)) % 0.44/0.64 (step @p79 :rule cong :premises (@p78) :args ((forall @t141 @t143))) % 0.44/0.64 (step @p80 :rule trans :premises (@p79 @p70)) % 0.44/0.64 (step @p81 :rule quant-var-elim-eq :args ((= (forall @t148 @t147) @t143))) % 0.44/0.64 (step @p82 :rule aci_norm :args ((= @t149 @t147))) % 0.44/0.64 (step @p83 :rule cong :premises (@p82) :args (@t150)) % 0.44/0.64 (step @p84 :rule trans :premises (@p83 @p81)) % 0.44/0.64 (step @p85 :rule cong :premises (@p84) :args (@t151)) % 0.44/0.64 (step @p86 :rule quant-merge-prenex :args ((= @t151 @t152))) % 0.44/0.64 (step @p87 :rule symm :premises (@p86)) % 0.44/0.64 (step @p88 :rule quant_var_reordering :args ((= (forall @t153 @t149) @t152))) % 0.44/0.64 (step @p89 :rule trans :premises (@p88 @p87 @p85)) % 0.44/0.64 (step @p90 :rule trans :premises (@p89 @p80)) % 0.44/0.64 (step @p91 :rule aci_norm :args ((= (or @t116 false @t146 @t145 @t134 @t122 @t113 @t133 @t107 @t106 @t103 @t121 @t95 @t94) @t149))) % 0.44/0.64 (step @p92 :rule eq-symm :args (@t101 @t102)) % 0.44/0.64 (step @p93 :rule cong :premises (@p92) :args (@t154)) % 0.44/0.64 (step @p94 :rule eq-symm :args (@t101 @t112)) % 0.44/0.64 (step @p95 :rule cong :premises (@p94) :args (@t155)) % 0.44/0.64 (step @p96 :rule refl :args (@t145)) % 0.44/0.64 (step @p97 :rule refl :args (@t146)) % 0.44/0.64 (step @p98 :rule eq-refl :args (@t101)) % 0.44/0.64 (step @p99 :rule cong :premises (@p98) :args (@t156)) % 0.44/0.64 (step @p100 :rule trans :premises (@p99 @p32)) % 0.44/0.64 (step @p101 :rule nary_cong :premises (@p37 @p100 @p97 @p96 @p73 @p53 @p95 @p72 @p29 @p28 @p93 @p52 @p25 @p24) :args (@t157)) % 0.44/0.64 (step @p102 :rule trans :premises (@p101 @p91)) % 0.44/0.64 (step @p103 :rule cong :premises (@p102) :args ((forall @t153 @t157))) % 0.44/0.64 (step @p104 :rule trans :premises (@p103 @p90)) % 0.44/0.64 (step @p105 :rule quant-var-elim-eq :args ((= (forall @t164 @t163) @t157))) % 0.44/0.64 (step @p106 :rule aci_norm :args ((= @t165 @t163))) % 0.44/0.64 (step @p107 :rule cong :premises (@p106) :args (@t166)) % 0.44/0.64 (step @p108 :rule trans :premises (@p107 @p105)) % 0.44/0.64 (step @p109 :rule cong :premises (@p108) :args (@t167)) % 0.44/0.64 (step @p110 :rule quant-merge-prenex :args ((= @t167 @t168))) % 0.44/0.64 (step @p111 :rule symm :premises (@p110)) % 0.44/0.64 (step @p112 :rule quant_var_reordering :args ((= (forall @t169 @t165) @t168))) % 0.44/0.64 (step @p113 :rule trans :premises (@p112 @p111 @p109)) % 0.44/0.64 (step @p114 :rule trans :premises (@p113 @p104)) % 0.44/0.64 (step @p115 :rule eq-symm :args (@t96 @t120)) % 0.44/0.64 (step @p116 :rule cong :premises (@p115) :args (@t170)) % 0.44/0.64 (step @p117 :rule eq-symm :args (@t102 @t158)) % 0.44/0.64 (step @p118 :rule cong :premises (@p117) :args (@t171)) % 0.44/0.64 (step @p119 :rule eq-symm :args (@t108 @t132)) % 0.44/0.64 (step @p120 :rule cong :premises (@p119) :args (@t172)) % 0.44/0.64 (step @p121 :rule eq-symm :args (@t112 @t158)) % 0.44/0.64 (step @p122 :rule cong :premises (@p121) :args (@t173)) % 0.44/0.64 (step @p123 :rule eq-symm :args (@t98 @t120)) % 0.44/0.64 (step @p124 :rule cong :premises (@p123) :args (@t174)) % 0.44/0.64 (step @p125 :rule eq-symm :args (@t110 @t132)) % 0.44/0.64 (step @p126 :rule cong :premises (@p125) :args (@t175)) % 0.44/0.64 (step @p127 :rule eq-symm :args (@t114 @t144)) % 0.44/0.64 (step @p128 :rule cong :premises (@p127) :args (@t176)) % 0.44/0.64 (step @p129 :rule eq-symm :args (@t101 @t158)) % 0.44/0.64 (step @p130 :rule cong :premises (@p129) :args (@t177)) % 0.44/0.64 (step @p131 :rule refl :args (@t162)) % 0.44/0.64 (step @p132 :rule nary_cong :premises (@p131 @p130 @p97 @p128 @p126 @p124 @p122 @p120 @p29 @p28 @p118 @p116 @p25 @p24) :args (@t178)) % 0.44/0.64 (step @p133 :rule aci_norm :args ((= @t182 @t178))) % 0.44/0.64 (step @p134 :rule trans :premises (@p133 @p132)) % 0.44/0.64 (step @p135 :rule cong :premises (@p134) :args (@t183)) % 0.44/0.64 (step @p136 :rule trans :premises (@p135 @p114)) % 0.44/0.64 (step @p137 :rule quant-merge-prenex :args ((= (forall @t185 @t184) @t183))) % 0.44/0.64 (step @p138 :rule refl :args (@t146)) % 0.44/0.64 (step @p139 :rule alpha_equiv :args (@t186 (@list @t100) @t188)) % 0.44/0.64 (step @p140 :rule refl :args (@t162)) % 0.44/0.64 (step @p141 :rule alpha_equiv :args (@t189 (@list @t93 @t92) @t192)) % 0.44/0.64 (step @p142 :rule alpha_equiv :args (@t193 (@list 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(@p619 @p618)) % 0.44/0.65 (step @p621 :rule trans :premises (@p620 @p616)) % 0.44/0.65 (step @p622 :rule cong :premises (@p621) :args (@t503)) % 0.44/0.65 (step @p623 :rule trans :premises (@p622 @p612)) % 0.44/0.65 (step @p624 :rule cong :premises (@p623) :args (@t504)) % 0.44/0.65 (step @p625 :rule exists-elim :args ((= (exists @t43 @t502) @t504))) % 0.44/0.65 (step @p626 :rule trans :premises (@p625 @p624)) % 0.44/0.65 (step @p627 :rule aci_norm :args ((= (or false @t493 @t491 @t490 @t489) @t494))) % 0.44/0.65 (step @p628 :rule refl :args (@t489)) % 0.44/0.65 (step @p629 :rule arith_poly_norm :args ((= (* 1 (- 2 @t506)) (* 1 (- @t505 1))))) % 0.44/0.65 (step @p630 :rule arith_poly_norm_rel :premises (@p629) :args ((= (>= 2 @t506) @t507))) % 0.44/0.65 (step @p631 :rule arith-geq-tighten :args (@t51 2)) % 0.44/0.65 (step @p632 :rule trans :premises (@p631 @p630)) % 0.44/0.65 (step @p633 :rule symm :premises (@p632)) % 0.44/0.65 (step @p634 :rule refl :args (@t491)) % 0.44/0.65 (step @p635 :rule refl :args (@t493)) % 0.44/0.65 (step @p636 :rule evaluate :args (@t508)) % 0.44/0.65 (step @p637 :rule cong :premises (@p636) :args (@t509)) % 0.44/0.65 (step @p638 :rule trans :premises (@p637 @p32)) % 0.44/0.65 (step @p639 :rule nary_cong :premises (@p638 @p635 @p634 @p633 @p628) :args (@t510)) % 0.44/0.65 (step @p640 :rule trans :premises (@p639 @p627)) % 0.44/0.65 (step @p641 :rule cong :premises (@p640) :args ((forall @t495 @t510))) % 0.44/0.65 (step @p642 :rule quant-var-elim-eq :args ((= (forall @t419 @t514) @t510))) % 0.44/0.65 (step @p643 :rule aci_norm :args ((= @t515 @t514))) % 0.44/0.65 (step @p644 :rule cong :premises (@p643) :args (@t516)) % 0.44/0.65 (step @p645 :rule trans :premises (@p644 @p642)) % 0.44/0.65 (step @p646 :rule cong :premises (@p645) :args (@t517)) % 0.44/0.65 (step @p647 :rule quant-merge-prenex :args ((= @t517 @t518))) % 0.44/0.65 (step @p648 :rule symm :premises (@p647)) % 0.44/0.65 (step @p649 :rule quant_var_reordering :args ((= (forall @t56 @t515) @t518))) % 0.44/0.65 (step @p650 :rule trans :premises (@p649 @p648 @p646)) % 0.44/0.65 (step @p651 :rule trans :premises (@p650 @p641)) % 0.44/0.65 (step @p652 :rule refl :args (@t489)) % 0.44/0.65 (step @p653 :rule bool-double-not-elim :args (@t512)) % 0.44/0.65 (step @p654 :rule refl :args (@t491)) % 0.44/0.65 (step @p655 :rule refl :args (@t493)) % 0.44/0.65 (step @p656 :rule refl :args (@t513)) % 0.44/0.65 (step @p657 :rule nary_cong :premises (@p656 @p655 @p654 @p653 @p652) :args (@t521)) % 0.44/0.65 (step @p658 :rule aci_norm :args ((= (or @t513 (or @t493 (or @t491 (or @t520 @t489)))) @t521))) % 0.44/0.65 (step @p659 :rule trans :premises (@p658 @p657)) % 0.44/0.65 (step @p660 :rule bool-and-de-morgan :args (@t519 @t488 true)) % 0.44/0.65 (step @p661 :rule nary_cong :premises (@p654 @p660) :args ((or @t491 (not (and @t519 @t488))))) % 0.44/0.65 (step @p662 :rule bool-and-de-morgan :args (@t52 @t519 (and @t488))) % 0.44/0.65 (step @p663 :rule trans :premises (@p662 @p661)) % 0.44/0.65 (step @p664 :rule nary_cong :premises (@p655 @p663) :args ((or @t493 (not (and @t52 @t519 @t488))))) % 0.44/0.65 (step @p665 :rule bool-and-de-morgan :args (@t492 @t52 (and @t519 @t488))) % 0.44/0.65 (step @p666 :rule trans :premises (@p665 @p664)) % 0.44/0.65 (step @p667 :rule nary_cong :premises (@p656 @p666) :args ((or @t513 (not (and @t492 @t52 @t519 @t488))))) % 0.44/0.65 (step @p668 :rule bool-and-de-morgan :args (@t54 @t492 (and @t52 @t519 @t488))) % 0.44/0.65 (step @p669 :rule trans :premises (@p668 @p667)) % 0.44/0.65 (step @p670 :rule trans :premises (@p669 @p659)) % 0.44/0.65 (step @p671 :rule cong :premises (@p670) :args (@t523)) % 0.44/0.65 (step @p672 :rule trans :premises (@p671 @p651)) % 0.44/0.65 (step @p673 :rule cong :premises (@p672) :args (@t524)) % 0.44/0.65 (step @p674 :rule exists-elim :args ((= (exists @t56 @t522) @t524))) % 0.44/0.65 (step @p675 :rule trans :premises (@p674 @p673)) % 0.44/0.65 (step @p676 :rule arith_poly_norm :args ((= (* 1 (- @t34 @t51)) (* 1 (- @t487 0))))) % 0.44/0.65 (step @p677 :rule arith_poly_norm_rel :premises (@p676) :args ((= (>= @t34 @t51) @t488))) % 0.44/0.65 (step @p678 :rule arith-elim-leq :args (@t51 @t34)) % 0.44/0.65 (step @p679 :rule trans :premises (@p678 @p677)) % 0.44/0.65 (step @p680 :rule arith_poly_norm :args ((= (* -1 (- @t36 @t506)) (* -1 (- @t511 1))))) % 0.44/0.65 (step @p681 :rule arith_poly_norm_rel :premises (@p680) :args ((= @t525 @t512))) % 0.44/0.65 (step @p682 :rule cong :premises (@p681) :args ((not @t525))) % 0.44/0.65 (step @p683 :rule arith-leq-norm :args (@t36 @t51)) % 0.44/0.65 (step @p684 :rule trans :premises (@p683 @p682)) % 0.44/0.65 (step @p685 :rule refl :args (@t52)) % 0.44/0.65 (step @p686 :rule eq-symm :args (@t53 @t32)) % 0.44/0.65 (step @p687 :rule refl :args (@t54)) % 0.44/0.65 (step @p688 :rule nary_cong :premises (@p687 @p686 @p685 @p684 @p679) :args (@t55)) % 0.44/0.65 (step @p689 :rule cong :premises (@p688) :args (@t57)) % 0.44/0.65 (step @p690 :rule trans :premises (@p689 @p675)) % 0.44/0.65 (step @p691 :rule eq-symm :args (@t30 @t58)) % 0.44/0.65 (step @p692 :rule nary_cong :premises (@p691 @p690 @p455) :args (@t60)) % 0.44/0.65 (step @p693 :rule cong :premises (@p692) :args (@t61)) % 0.44/0.65 (step @p694 :rule trans :premises (@p693 @p626)) % 0.44/0.65 (step @p695 :rule aci_norm :args ((= (or false @t356 @t355 @t208 @t207) @t357))) % 0.44/0.65 (step @p696 :rule refl :args (@t355)) % 0.44/0.65 (step @p697 :rule refl :args (@t356)) % 0.44/0.65 (step @p698 :rule eq-refl :args (@t62)) % 0.44/0.65 (step @p699 :rule cong :premises (@p698) :args (@t526)) % 0.44/0.65 (step @p700 :rule trans :premises (@p699 @p32)) % 0.44/0.65 (step @p701 :rule nary_cong :premises (@p700 @p697 @p696 @p163 @p162) :args (@t527)) % 0.44/0.65 (step @p702 :rule trans :premises (@p701 @p695)) % 0.44/0.65 (step @p703 :rule cong :premises (@p702) :args ((forall @t211 @t527))) % 0.44/0.65 (step @p704 :rule quant-var-elim-eq :args ((= (forall @t402 (or (not @t89) @t529 @t356 @t528 @t208 @t207)) @t527))) % 0.44/0.65 (step @p705 :rule refl :args (@t207)) % 0.44/0.65 (step @p706 :rule refl :args (@t208)) % 0.44/0.65 (step @p707 :rule refl :args (@t528)) % 0.44/0.65 (step @p708 :rule refl :args (@t356)) % 0.44/0.65 (step @p709 :rule refl :args (@t529)) % 0.44/0.65 (step @p710 :rule eq-symm :args (@t62 @t29)) % 0.44/0.65 (step @p711 :rule cong :premises (@p710) :args (@t529)) % 0.44/0.65 (step @p712 :rule nary_cong :premises (@p711 @p709 @p708 @p707 @p706 @p705) :args (@t530)) % 0.44/0.65 (step @p713 :rule aci_norm :args ((= @t531 @t530))) % 0.44/0.65 (step @p714 :rule trans :premises (@p713 @p712)) % 0.44/0.65 (step @p715 :rule cong :premises (@p714) :args (@t532)) % 0.44/0.65 (step @p716 :rule trans :premises (@p715 @p704)) % 0.44/0.65 (step @p717 :rule cong :premises (@p716) :args (@t533)) % 0.44/0.65 (step @p718 :rule quant-merge-prenex :args ((= @t533 @t534))) % 0.44/0.65 (step @p719 :rule symm :premises (@p718)) % 0.44/0.65 (step @p720 :rule quant_var_reordering :args ((= (forall @t535 @t531) @t534))) % 0.44/0.65 (step @p721 :rule trans :premises (@p720 @p719 @p717)) % 0.44/0.65 (step @p722 :rule trans :premises (@p721 @p703)) % 0.44/0.65 (step @p723 :rule aci_norm :args ((= (or false @t529 @t356 @t528 @t208 @t207) @t531))) % 0.44/0.65 (step @p724 :rule refl :args (@t528)) % 0.44/0.65 (step @p725 :rule refl :args (@t529)) % 0.44/0.65 (step @p726 :rule nary_cong :premises (@p700 @p725 @p697 @p724 @p163 @p162) :args (@t536)) % 0.44/0.65 (step @p727 :rule trans :premises (@p726 @p723)) % 0.44/0.65 (step @p728 :rule cong :premises (@p727) :args ((forall @t535 @t536))) % 0.44/0.65 (step @p729 :rule trans :premises (@p728 @p722)) % 0.44/0.65 (step @p730 :rule quant-var-elim-eq :args ((= (forall @t87 (or (not @t63) @t538 @t399 @t356 @t528 @t208 @t207)) @t536))) % 0.44/0.65 (step @p731 :rule refl :args (@t538)) % 0.44/0.65 (step @p732 :rule eq-symm :args (@t62 @t30)) % 0.44/0.65 (step @p733 :rule cong :premises (@p732) :args (@t538)) % 0.44/0.65 (step @p734 :rule nary_cong :premises (@p733 @p731 @p413 @p708 @p707 @p706 @p705) :args (@t539)) % 0.44/0.65 (step @p735 :rule aci_norm :args ((= @t540 @t539))) % 0.44/0.65 (step @p736 :rule trans :premises (@p735 @p734)) % 0.44/0.65 (step @p737 :rule cong :premises (@p736) :args (@t541)) % 0.44/0.65 (step @p738 :rule trans :premises (@p737 @p730)) % 0.44/0.65 (step @p739 :rule cong :premises (@p738) :args (@t542)) % 0.44/0.65 (step @p740 :rule quant-merge-prenex :args ((= @t542 @t543))) % 0.44/0.65 (step @p741 :rule symm :premises (@p740)) % 0.44/0.65 (step @p742 :rule quant_var_reordering :args ((= (forall @t544 @t540) @t543))) % 0.44/0.65 (step @p743 :rule trans :premises (@p742 @p741 @p739)) % 0.44/0.65 (step @p744 :rule trans :premises (@p743 @p729)) % 0.44/0.65 (step @p745 :rule aci_norm :args ((= @t546 @t540))) % 0.44/0.65 (step @p746 :rule cong :premises (@p745) :args (@t547)) % 0.44/0.65 (step @p747 :rule trans :premises (@p746 @p744)) % 0.44/0.65 (step @p748 :rule quant-merge-prenex :args ((= (forall @t43 @t548) @t547))) % 0.44/0.65 (step @p749 :rule alpha_equiv :args (@t549 @t196 @t484)) % 0.44/0.65 (step @p750 :rule nary_cong :premises (@p731 @p749 @p413) :args (@t550)) % 0.44/0.65 (step @p751 :rule quant-miniscope-or :args ((= @t548 @t550))) % 0.44/0.65 (step @p752 :rule trans :premises (@p751 @p750)) % 0.44/0.65 (step @p753 :rule symm :premises (@p752)) % 0.44/0.65 (step @p754 :rule cong :premises (@p753) :args ((forall @t43 (or @t538 @t496 @t399)))) % 0.44/0.65 (step @p755 :rule trans :premises (@p754 @p748)) % 0.44/0.65 (step @p756 :rule trans :premises (@p755 @p747)) % 0.44/0.65 (step @p757 :rule nary_cong :premises (@p731 @p613 @p413) :args (@t551)) % 0.44/0.65 (step @p758 :rule aci_norm :args ((= (or @t538 @t500) @t551))) % 0.44/0.65 (step @p759 :rule trans :premises (@p758 @p757)) % 0.44/0.65 (step @p760 :rule nary_cong :premises (@p731 @p617) :args ((or @t538 @t501))) % 0.44/0.65 (step @p761 :rule bool-and-de-morgan :args (@t537 @t497 (and @t31))) % 0.44/0.65 (step @p762 :rule trans :premises (@p761 @p760)) % 0.44/0.65 (step @p763 :rule trans :premises (@p762 @p759)) % 0.44/0.65 (step @p764 :rule cong :premises (@p763) :args (@t553)) % 0.44/0.65 (step @p765 :rule trans :premises (@p764 @p756)) % 0.44/0.65 (step @p766 :rule cong :premises (@p765) :args (@t554)) % 0.44/0.65 (step @p767 :rule exists-elim :args ((= (exists @t43 @t552) @t554))) % 0.44/0.65 (step @p768 :rule trans :premises (@p767 @p766)) % 0.44/0.65 (step @p769 :rule eq-symm :args (@t30 @t62)) % 0.44/0.65 (step @p770 :rule nary_cong :premises (@p769 @p690 @p455) :args (@t64)) % 0.44/0.65 (step @p771 :rule cong :premises (@p770) :args (@t65)) % 0.44/0.65 (step @p772 :rule trans :premises (@p771 @p768)) % 0.44/0.65 (step @p773 :rule aci_norm :args ((= (or @t364 (or @t362 @t360)) @t365))) % 0.44/0.65 (step @p774 :rule bool-and-de-morgan :args (@t361 @t359 true)) % 0.44/0.65 (step @p775 :rule refl :args (@t364)) % 0.44/0.65 (step @p776 :rule nary_cong :premises (@p775 @p774) :args ((or @t364 (not (and @t361 @t359))))) % 0.44/0.65 (step @p777 :rule bool-and-de-morgan :args (@t363 @t361 (and @t359))) % 0.44/0.65 (step @p778 :rule trans :premises (@p777 @p776)) % 0.44/0.65 (step @p779 :rule trans :premises (@p778 @p773)) % 0.44/0.65 (step @p780 :rule cong :premises (@p779) :args (@t556)) % 0.44/0.65 (step @p781 :rule cong :premises (@p780) :args (@t557)) % 0.44/0.65 (step @p782 :rule exists-elim :args ((= (exists @t75 @t555) @t557))) % 0.44/0.65 (step @p783 :rule trans :premises (@p782 @p781)) % 0.44/0.65 (step @p784 :rule eq-symm :args (@t67 @t58)) % 0.44/0.65 (step @p785 :rule eq-symm :args (@t69 @t62)) % 0.44/0.65 (step @p786 :rule arith_poly_norm :args ((= @t71 @t212))) % 0.44/0.65 (step @p787 :rule cong :premises (@p786) :args (@t72)) % 0.44/0.65 (step @p788 :rule refl :args (@t27)) % 0.44/0.65 (step @p789 :rule cong :premises (@p788 @p787) :args (@t73)) % 0.44/0.65 (step @p790 :rule nary_cong :premises (@p789 @p785 @p784) :args (@t74)) % 0.44/0.65 (step @p791 :rule cong :premises (@p790) :args (@t76)) % 0.44/0.65 (step @p792 :rule trans :premises (@p791 @p783)) % 0.44/0.65 (step @p793 :rule nary_cong :premises (@p792 @p772 @p694 @p550 @p499) :args (@t77)) % 0.44/0.65 (step @p794 :rule cong :premises (@p793 @p378) :args (@t78)) % 0.44/0.65 (step @p795 :rule refl :args (@t79)) % 0.44/0.65 (step @p796 :rule cong :premises (@p793 @p795) :args (@t80)) % 0.44/0.65 (step @p797 :rule nary_cong :premises (@p796 @p794) :args (@t81)) % 0.44/0.65 (step @p798 :rule cong :premises (@p797) :args (@t83)) % 0.44/0.65 (step @p799 :rule trans :premises (@p798 @p377)) % 0.44/0.65 (step @p800 :rule cong :premises (@p799) :args (@t91)) % 0.44/0.65 (step @p801 :rule eq_resolve :premises (@p21 @p800)) % 0.44/0.65 (step @p802 :rule eq_resolve :premises (@p18 @p799)) % 0.44/0.65 (step @p803 false :rule contra :premises (@p802 @p801)) % 0.44/0.65 ) % 0.44/0.65 % SZS output end Proof % 0.44/0.65 % cvc5 exiting %------------------------------------------------------------------------------