%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX120_1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 09:07:09 AM UTC 2026 % Result : Theorem 242.88s 243.32s % Output : Proof 242.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX120_1 : TPTP v9.2.1. Released v9.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.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 22:57:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_ARI % 242.88/243.32 --- Run --finite-model-find --decision=internal at 45... % 242.88/243.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 242.88/243.32 --- Run --no-e-matching --full-saturate-quant at 45... % 242.88/243.32 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 242.88/243.32 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --no-cegqi --no-sygus-inst at 45... % 242.88/243.32 --- Run --macros-quant --macros-quant-mode=all --nl-ext-tplanes --full-saturate-quant at 60... % 242.88/243.32 % SZS status Theorem % 242.88/243.32 % SZS output start Proof % 242.88/243.32 ( % 242.88/243.32 (declare-sort tptp.symbol 0) % 242.88/243.32 (declare-sort tptp.general 0) % 242.88/243.32 (declare-const tptp.prime (-> tptp.general Bool)) % 242.88/243.32 (declare-const tptp.f__integer__ (-> Int tptp.general)) % 242.88/243.32 (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general)) % 242.88/243.32 (declare-const tptp.c__supremum__ tptp.general) % 242.88/243.32 (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool)) % 242.88/243.32 (declare-const tptp.composite_p (-> tptp.general Bool)) % 242.88/243.32 (declare-const tptp.c__infimum__ tptp.general) % 242.88/243.32 (declare-const tptp.p__is_integer__ (-> tptp.general Bool)) % 242.88/243.32 (declare-const tptp.composite (-> tptp.general Bool)) % 242.88/243.32 (declare-const tptp.n_i Int) % 242.88/243.32 (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool)) % 242.88/243.32 (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool)) % 242.88/243.32 (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool)) % 242.88/243.32 (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool)) % 242.88/243.32 (define @t1 () (@var "N" Int)) % 242.88/243.32 (define @t2 () (tptp.f__integer__ @t1)) % 242.88/243.32 (define @t3 () (@var "X" tptp.general)) % 242.88/243.32 (define @t4 () (@list @t1)) % 242.88/243.32 (define @t5 () (tptp.p__is_integer__ @t3)) % 242.88/243.32 (define @t6 () (@list @t3)) % 242.88/243.32 (define @t7 () (@var "X2" tptp.symbol)) % 242.88/243.32 (define @t8 () (@var "X1" tptp.general)) % 242.88/243.32 (define @t9 () (@var "N2" Int)) % 242.88/243.32 (define @t10 () (@var "N1" Int)) % 242.88/243.32 (define @t11 () (tptp.f__integer__ @t9)) % 242.88/243.32 (define @t12 () (tptp.f__integer__ @t10)) % 242.88/243.32 (define @t13 () (@list @t10 @t9)) % 242.88/243.32 (define @t14 () (forall @t13 (= (= @t12 @t11) (= @t10 @t9)))) % 242.88/243.32 (define @t15 () (@var "S2" tptp.symbol)) % 242.88/243.32 (define @t16 () (@var "S1" tptp.symbol)) % 242.88/243.32 (define @t17 () (tptp.p__less_equal__ @t12 @t11)) % 242.88/243.32 (define @t18 () (= @t17 (<= @t10 @t9))) % 242.88/243.32 (define @t19 () (forall @t13 @t18)) % 242.88/243.32 (define @t20 () (@var "X2" tptp.general)) % 242.88/243.32 (define @t21 () (= @t8 @t20)) % 242.88/243.32 (define @t22 () (tptp.p__less_equal__ @t20 @t8)) % 242.88/243.32 (define @t23 () (tptp.p__less_equal__ @t8 @t20)) % 242.88/243.32 (define @t24 () (and @t23 @t22)) % 242.88/243.32 (define @t25 () (@list @t8 @t20)) % 242.88/243.32 (define @t26 () (forall @t25 (=> @t24 @t21))) % 242.88/243.32 (define @t27 () (@var "X3" tptp.general)) % 242.88/243.32 (define @t28 () (or @t23 @t22)) % 242.88/243.32 (define @t29 () (forall @t25 @t28)) % 242.88/243.32 (define @t30 () (not @t21)) % 242.88/243.32 (define @t31 () (tptp.p__greater_equal__ @t8 @t20)) % 242.88/243.32 (define @t32 () (forall @t25 (= @t31 @t22))) % 242.88/243.32 (define @t33 () (and @t22 @t30)) % 242.88/243.32 (define @t34 () (tptp.p__greater__ @t8 @t20)) % 242.88/243.32 (define @t35 () (= @t34 @t33)) % 242.88/243.32 (define @t36 () (forall @t25 @t35)) % 242.88/243.32 (define @t37 () (@var "S" tptp.symbol)) % 242.88/243.32 (define @t38 () (tptp.f__symbolic__ @t37)) % 242.88/243.32 (define @t39 () (@var "Z1_g" tptp.general)) % 242.88/243.32 (define @t40 () (@var "Z_g" tptp.general)) % 242.88/243.32 (define @t41 () (tptp.p__greater__ @t40 @t39)) % 242.88/243.32 (define @t42 () (tptp.f__integer__ 1)) % 242.88/243.32 (define @t43 () (= @t39 @t42)) % 242.88/243.32 (define @t44 () (@var "J_g" tptp.general)) % 242.88/243.32 (define @t45 () (= @t40 @t44)) % 242.88/243.32 (define @t46 () (and @t45 @t43 @t41)) % 242.88/243.32 (define @t47 () (@list @t40 @t39)) % 242.88/243.32 (define @t48 () (exists @t47 @t46)) % 242.88/243.32 (define @t49 () (@var "I_g" tptp.general)) % 242.88/243.32 (define @t50 () (= @t40 @t49)) % 242.88/243.32 (define @t51 () (and @t50 @t43 @t41)) % 242.88/243.32 (define @t52 () (exists @t47 @t51)) % 242.88/243.32 (define @t53 () (@var "J1_i" Int)) % 242.88/243.32 (define @t54 () (tptp.f__integer__ @t53)) % 242.88/243.32 (define @t55 () (@var "I1_i" Int)) % 242.88/243.32 (define @t56 () (tptp.f__integer__ @t55)) % 242.88/243.32 (define @t57 () (* @t55 @t53)) % 242.88/243.32 (define @t58 () (tptp.f__integer__ @t57)) % 242.88/243.32 (define @t59 () (@var "V1_g" tptp.general)) % 242.88/243.32 (define @t60 () (= @t59 @t58)) % 242.88/243.32 (define @t61 () (and @t60 (= @t56 @t49) (= @t54 @t44))) % 242.88/243.32 (define @t62 () (@list @t55 @t53)) % 242.88/243.32 (define @t63 () (exists @t62 @t61)) % 242.88/243.32 (define @t64 () (and @t63 @t52 @t48)) % 242.88/243.32 (define @t65 () (@list @t49 @t44)) % 242.88/243.32 (define @t66 () (exists @t65 @t64)) % 242.88/243.32 (define @t67 () (tptp.composite @t59)) % 242.88/243.32 (define @t68 () (= @t67 @t66)) % 242.88/243.32 (define @t69 () (@list @t59)) % 242.88/243.32 (define @t70 () (forall @t69 @t68)) % 242.88/243.32 (define @t71 () (= @t40 @t39)) % 242.88/243.32 (define @t72 () (@var "J_i" Int)) % 242.88/243.32 (define @t73 () (@var "K_i" Int)) % 242.88/243.32 (define @t74 () (@var "I_i" Int)) % 242.88/243.32 (define @t75 () (= @t39 (tptp.f__integer__ @t73))) % 242.88/243.32 (define @t76 () (= @t72 tptp.n_i)) % 242.88/243.32 (define @t77 () (= @t74 2)) % 242.88/243.32 (define @t78 () (and @t77 @t76 @t75 (<= @t74 @t73) (<= @t73 @t72))) % 242.88/243.32 (define @t79 () (@list @t74 @t72 @t73)) % 242.88/243.32 (define @t80 () (exists @t79 @t78)) % 242.88/243.32 (define @t81 () (and @t45 @t80 @t71)) % 242.88/243.32 (define @t82 () (exists @t47 @t81)) % 242.88/243.32 (define @t83 () (and @t50 @t80 @t71)) % 242.88/243.32 (define @t84 () (exists @t47 @t83)) % 242.88/243.32 (define @t85 () (and @t63 @t84 @t82)) % 242.88/243.32 (define @t86 () (exists @t65 @t85)) % 242.88/243.32 (define @t87 () (tptp.composite_p @t59)) % 242.88/243.32 (define @t88 () (= @t87 @t86)) % 242.88/243.32 (define @t89 () (forall @t69 @t88)) % 242.88/243.32 (define @t90 () (tptp.composite @t40)) % 242.88/243.32 (define @t91 () (not @t90)) % 242.88/243.32 (define @t92 () (and @t50 @t91)) % 242.88/243.32 (define @t93 () (@list @t40)) % 242.88/243.32 (define @t94 () (exists @t93 @t92)) % 242.88/243.32 (define @t95 () (= @t59 @t49)) % 242.88/243.32 (define @t96 () (and @t95 @t84 @t94)) % 242.88/243.32 (define @t97 () (@list @t49)) % 242.88/243.32 (define @t98 () (exists @t97 @t96)) % 242.88/243.32 (define @t99 () (tptp.prime @t59)) % 242.88/243.32 (define @t100 () (= @t99 @t98)) % 242.88/243.32 (define @t101 () (forall @t69 @t100)) % 242.88/243.32 (define @t102 () (tptp.composite_p @t40)) % 242.88/243.32 (define @t103 () (not @t102)) % 242.88/243.32 (define @t104 () (and @t50 @t103)) % 242.88/243.32 (define @t105 () (exists @t93 @t104)) % 242.88/243.32 (define @t106 () (and @t95 @t84 @t105)) % 242.88/243.32 (define @t107 () (exists @t97 @t106)) % 242.88/243.32 (define @t108 () (= @t99 @t107)) % 242.88/243.32 (define @t109 () (forall @t69 @t108)) % 242.88/243.32 (define @t110 () (not @t109)) % 242.88/243.32 (define @t111 () (tptp.p__greater_equal__ @t11 @t12)) % 242.88/243.32 (define @t112 () (@var "BOUND_VARIABLE_8121" tptp.general)) % 242.88/243.32 (define @t113 () (@var "BOUND_VARIABLE_8122" tptp.general)) % 242.88/243.32 (define @t114 () (lambda (@list @t112 @t113) (tptp.p__greater_equal__ @t113 @t112))) % 242.88/243.32 (define @t115 () (_ @t114 @t12 @t11)) % 242.88/243.32 (define @t116 () (+ @t10 (* -1 @t9))) % 242.88/243.32 (define @t117 () (>= @t116 1)) % 242.88/243.32 (define @t118 () (not @t117)) % 242.88/243.32 (define @t119 () (= @t17 @t118)) % 242.88/243.32 (define @t120 () (+ @t9 1)) % 242.88/243.32 (define @t121 () (>= @t10 @t120)) % 242.88/243.32 (define @t122 () (@var "BOUND_VARIABLE_8025" Int)) % 242.88/243.32 (define @t123 () (not (>= (+ tptp.n_i (* -1 @t122)) 0))) % 242.88/243.32 (define @t124 () (not (>= @t122 2))) % 242.88/243.32 (define @t125 () (tptp.f__integer__ @t122)) % 242.88/243.32 (define @t126 () (not (= @t59 @t125))) % 242.88/243.32 (define @t127 () (or @t126 @t124 @t123)) % 242.88/243.32 (define @t128 () (@list @t122)) % 242.88/243.32 (define @t129 () (forall @t128 @t127)) % 242.88/243.32 (define @t130 () (not @t129)) % 242.88/243.32 (define @t131 () (@var "BOUND_VARIABLE_7908" Int)) % 242.88/243.32 (define @t132 () (not (>= (+ tptp.n_i (* -1 @t131)) 0))) % 242.88/243.32 (define @t133 () (not (>= @t131 2))) % 242.88/243.32 (define @t134 () (tptp.f__integer__ @t131)) % 242.88/243.32 (define @t135 () (@var "BOUND_VARIABLE_7883" Int)) % 242.88/243.32 (define @t136 () (tptp.f__integer__ @t135)) % 242.88/243.32 (define @t137 () (not (= @t136 @t134))) % 242.88/243.32 (define @t138 () (@var "BOUND_VARIABLE_7896" Int)) % 242.88/243.32 (define @t139 () (not (>= (+ tptp.n_i (* -1 @t138)) 0))) % 242.88/243.32 (define @t140 () (not (>= @t138 2))) % 242.88/243.32 (define @t141 () (tptp.f__integer__ @t138)) % 242.88/243.32 (define @t142 () (@var "BOUND_VARIABLE_7881" Int)) % 242.88/243.32 (define @t143 () (tptp.f__integer__ @t142)) % 242.88/243.32 (define @t144 () (not (= @t143 @t141))) % 242.88/243.32 (define @t145 () (tptp.f__integer__ (* @t142 @t135))) % 242.88/243.32 (define @t146 () (not (= @t59 @t145))) % 242.88/243.32 (define @t147 () (or @t146 @t144 @t140 @t139 @t137 @t133 @t132)) % 242.88/243.32 (define @t148 () (@list @t142 @t135 @t138 @t131)) % 242.88/243.32 (define @t149 () (forall @t148 @t147)) % 242.88/243.32 (define @t150 () (and @t149 @t130)) % 242.88/243.32 (define @t151 () (@var "BOUND_VARIABLE_7968" Int)) % 242.88/243.32 (define @t152 () (not (>= (+ tptp.n_i (* -1 @t151)) 0))) % 242.88/243.32 (define @t153 () (not (>= @t151 2))) % 242.88/243.32 (define @t154 () (tptp.f__integer__ @t151)) % 242.88/243.32 (define @t155 () (not (= @t59 @t154))) % 242.88/243.32 (define @t156 () (or @t155 @t153 @t152)) % 242.88/243.32 (define @t157 () (@list @t151)) % 242.88/243.32 (define @t158 () (forall @t157 @t156)) % 242.88/243.32 (define @t159 () (not @t158)) % 242.88/243.32 (define @t160 () (@var "BOUND_VARIABLE_7706" Int)) % 242.88/243.32 (define @t161 () (@var "BOUND_VARIABLE_7704" Int)) % 242.88/243.32 (define @t162 () (tptp.f__integer__ (* @t161 @t160))) % 242.88/243.32 (define @t163 () (not (= @t59 @t162))) % 242.88/243.32 (define @t164 () (tptp.f__integer__ @t160)) % 242.88/243.32 (define @t165 () (= @t42 @t164)) % 242.88/243.32 (define @t166 () (tptp.p__greater_equal__ @t164 @t42)) % 242.88/243.32 (define @t167 () (not @t166)) % 242.88/243.32 (define @t168 () (tptp.f__integer__ @t161)) % 242.88/243.32 (define @t169 () (= @t42 @t168)) % 242.88/243.32 (define @t170 () (tptp.p__greater_equal__ @t168 @t42)) % 242.88/243.32 (define @t171 () (not @t170)) % 242.88/243.32 (define @t172 () (or @t171 @t169 @t167 @t165 @t163)) % 242.88/243.32 (define @t173 () (@list @t161 @t160)) % 242.88/243.32 (define @t174 () (forall @t173 @t172)) % 242.88/243.32 (define @t175 () (and @t174 @t159)) % 242.88/243.32 (define @t176 () (forall @t69 (= @t175 @t150))) % 242.88/243.32 (define @t177 () (@quantifiers_skolemize @t176 0)) % 242.88/243.32 (define @t178 () (forall @t173 (or @t171 @t169 @t167 @t165 (not (= @t162 @t177))))) % 242.88/243.32 (define @t179 () (@quantifiers_skolemize @t178 1)) % 242.88/243.32 (define @t180 () (>= @t179 -1)) % 242.88/243.32 (define @t181 () (not @t180)) % 242.88/243.32 (define @t182 () (>= @t179 2)) % 242.88/243.32 (define @t183 () (>= @t179 0)) % 242.88/243.32 (define @t184 () (ite @t183 @t182 @t181)) % 242.88/243.32 (define @t185 () (not @t183)) % 242.88/243.32 (define @t186 () (not @t182)) % 242.88/243.32 (define @t187 () (forall @t157 (or (not (= @t154 @t177)) @t153 @t152))) % 242.88/243.32 (define @t188 () (not @t187)) % 242.88/243.32 (define @t189 () (and @t178 @t188)) % 242.88/243.32 (define @t190 () (not @t189)) % 242.88/243.32 (define @t191 () (@list @t151)) % 242.88/243.32 (define @t192 () (@list @t122)) % 242.88/243.32 (define @t193 () (@var "BOUND_VARIABLE_8321" tptp.general)) % 242.88/243.32 (define @t194 () (lambda (@list @t193) (and (forall @t173 (or @t171 @t169 @t167 @t165 (not (= @t193 @t162)))) (not (forall @t157 (or (not (= @t193 @t154)) @t153 @t152)))))) % 242.88/243.32 (define @t195 () (_ @t194 @t59)) % 242.88/243.32 (define @t196 () (not @t149)) % 242.88/243.32 (define @t197 () (@var "BOUND_VARIABLE_8292" tptp.general)) % 242.88/243.32 (define @t198 () (lambda (@list @t197) (not (forall @t148 (or (not (= @t197 @t145)) @t144 @t140 @t139 @t137 @t133 @t132))))) % 242.88/243.32 (define @t199 () (_ @t198 @t59)) % 242.88/243.32 (define @t200 () (not @t199)) % 242.88/243.32 (define @t201 () (and @t200 @t130)) % 242.88/243.32 (define @t202 () (forall @t69 (= @t195 @t201))) % 242.88/243.32 (define @t203 () (not (= @t136 @t136))) % 242.88/243.32 (define @t204 () (or @t146 @t203 @t144 @t140 @t139 @t137 @t133 @t132)) % 242.88/243.32 (define @t205 () (not (= @t44 @t134))) % 242.88/243.32 (define @t206 () (not (= @t44 @t136))) % 242.88/243.32 (define @t207 () (or @t206 @t146 @t206 @t144 @t140 @t139 @t205 @t133 @t132)) % 242.88/243.32 (define @t208 () (@list @t44)) % 242.88/243.32 (define @t209 () (or @t146 @t206 @t144 @t140 @t139 @t205 @t133 @t132)) % 242.88/243.32 (define @t210 () (forall @t208 @t209)) % 242.88/243.32 (define @t211 () (forall @t148 @t210)) % 242.88/243.32 (define @t212 () (forall (@list @t142 @t135 @t138 @t131 @t44) @t209)) % 242.88/243.32 (define @t213 () (@list @t44 @t142 @t135 @t138 @t131)) % 242.88/243.32 (define @t214 () (not (= @t143 @t143))) % 242.88/243.32 (define @t215 () (or @t146 @t214 @t206 @t144 @t140 @t139 @t205 @t133 @t132)) % 242.88/243.32 (define @t216 () (not (= @t49 @t141))) % 242.88/243.32 (define @t217 () (not (= @t49 @t143))) % 242.88/243.32 (define @t218 () (or @t217 @t146 @t217 @t206 @t216 @t140 @t139 @t205 @t133 @t132)) % 242.88/243.32 (define @t219 () (or @t146 @t217 @t206 @t216 @t140 @t139 @t205 @t133 @t132)) % 242.88/243.32 (define @t220 () (forall @t97 @t219)) % 242.88/243.32 (define @t221 () (forall @t213 @t220)) % 242.88/243.32 (define @t222 () (forall (@list @t44 @t142 @t135 @t138 @t131 @t49) @t219)) % 242.88/243.32 (define @t223 () (@list @t49 @t44 @t142 @t135 @t138 @t131)) % 242.88/243.32 (define @t224 () (or @t205 @t133 @t132)) % 242.88/243.32 (define @t225 () (or @t216 @t140 @t139)) % 242.88/243.32 (define @t226 () (or @t146 @t217 @t206)) % 242.88/243.32 (define @t227 () (or @t226 @t225 @t224)) % 242.88/243.32 (define @t228 () (forall @t223 @t227)) % 242.88/243.32 (define @t229 () (forall @t148 @t227)) % 242.88/243.32 (define @t230 () (forall (@list @t131) @t224)) % 242.88/243.32 (define @t231 () (@var "BOUND_VARIABLE_7840" Int)) % 242.88/243.32 (define @t232 () (@list @t231)) % 242.88/243.32 (define @t233 () (forall (@list @t138) @t225)) % 242.88/243.32 (define @t234 () (@var "BOUND_VARIABLE_7799" Int)) % 242.88/243.32 (define @t235 () (@list @t234)) % 242.88/243.32 (define @t236 () (forall (@list @t142 @t135) @t226)) % 242.88/243.32 (define @t237 () (@list @t55 @t53)) % 242.88/243.32 (define @t238 () (or @t236 @t233 @t230)) % 242.88/243.32 (define @t239 () (not (>= (+ tptp.n_i (* -1 @t231)) 0))) % 242.88/243.32 (define @t240 () (not (>= @t231 2))) % 242.88/243.32 (define @t241 () (tptp.f__integer__ @t231)) % 242.88/243.32 (define @t242 () (not (= @t44 @t241))) % 242.88/243.32 (define @t243 () (or @t242 @t240 @t239)) % 242.88/243.32 (define @t244 () (@list @t231)) % 242.88/243.32 (define @t245 () (forall @t244 @t243)) % 242.88/243.32 (define @t246 () (not (>= (+ tptp.n_i (* -1 @t234)) 0))) % 242.88/243.32 (define @t247 () (not (>= @t234 2))) % 242.88/243.32 (define @t248 () (tptp.f__integer__ @t234)) % 242.88/243.32 (define @t249 () (not (= @t49 @t248))) % 242.88/243.32 (define @t250 () (or @t249 @t247 @t246)) % 242.88/243.32 (define @t251 () (@list @t234)) % 242.88/243.32 (define @t252 () (forall @t251 @t250)) % 242.88/243.32 (define @t253 () (= @t44 @t54)) % 242.88/243.32 (define @t254 () (not @t253)) % 242.88/243.32 (define @t255 () (= @t49 @t56)) % 242.88/243.32 (define @t256 () (not @t255)) % 242.88/243.32 (define @t257 () (* @t55 @t53)) % 242.88/243.32 (define @t258 () (= @t59 (tptp.f__integer__ @t257))) % 242.88/243.32 (define @t259 () (not @t258)) % 242.88/243.32 (define @t260 () (or @t259 @t256 @t254)) % 242.88/243.32 (define @t261 () (forall @t62 @t260)) % 242.88/243.32 (define @t262 () (not @t245)) % 242.88/243.32 (define @t263 () (not @t262)) % 242.88/243.32 (define @t264 () (not @t252)) % 242.88/243.32 (define @t265 () (not @t264)) % 242.88/243.32 (define @t266 () (not @t261)) % 242.88/243.32 (define @t267 () (not @t266)) % 242.88/243.32 (define @t268 () (or @t267 @t265 @t263)) % 242.88/243.32 (define @t269 () (and @t266 @t264 @t262)) % 242.88/243.32 (define @t270 () (forall @t65 (not @t269))) % 242.88/243.32 (define @t271 () (not @t270)) % 242.88/243.32 (define @t272 () (not (= @t44 @t44))) % 242.88/243.32 (define @t273 () (or @t272 @t242 @t240 @t239)) % 242.88/243.32 (define @t274 () (not (= @t39 @t241))) % 242.88/243.32 (define @t275 () (not (= @t44 @t39))) % 242.88/243.32 (define @t276 () (@list @t39)) % 242.88/243.32 (define @t277 () (or @t275 @t275 @t274 @t240 @t239)) % 242.88/243.32 (define @t278 () (or @t275 @t274 @t240 @t239)) % 242.88/243.32 (define @t279 () (forall @t276 @t278)) % 242.88/243.32 (define @t280 () (forall @t244 @t279)) % 242.88/243.32 (define @t281 () (forall (@list @t231 @t39) @t278)) % 242.88/243.32 (define @t282 () (@list @t39 @t231)) % 242.88/243.32 (define @t283 () (or @t272 @t275 @t274 @t240 @t239)) % 242.88/243.32 (define @t284 () (not @t71)) % 242.88/243.32 (define @t285 () (= @t44 @t40)) % 242.88/243.32 (define @t286 () (not @t285)) % 242.88/243.32 (define @t287 () (not @t45)) % 242.88/243.32 (define @t288 () (or @t286 @t286 @t284 @t274 @t240 @t239)) % 242.88/243.32 (define @t289 () (or @t286 @t284 @t274 @t240 @t239)) % 242.88/243.32 (define @t290 () (forall @t93 @t289)) % 242.88/243.32 (define @t291 () (forall @t282 @t290)) % 242.88/243.32 (define @t292 () (forall (@list @t39 @t231 @t40) @t289)) % 242.88/243.32 (define @t293 () (@list @t40 @t39 @t231)) % 242.88/243.32 (define @t294 () (or @t274 @t240 @t239)) % 242.88/243.32 (define @t295 () (or @t286 @t294 @t284)) % 242.88/243.32 (define @t296 () (forall @t293 @t295)) % 242.88/243.32 (define @t297 () (forall @t244 @t295)) % 242.88/243.32 (define @t298 () (forall @t244 @t294)) % 242.88/243.32 (define @t299 () (@list @t73)) % 242.88/243.32 (define @t300 () (or @t286 @t298 @t284)) % 242.88/243.32 (define @t301 () (* -1 @t73)) % 242.88/243.32 (define @t302 () (not (>= (+ tptp.n_i @t301) 0))) % 242.88/243.32 (define @t303 () (not (>= @t73 2))) % 242.88/243.32 (define @t304 () (not @t75)) % 242.88/243.32 (define @t305 () (or @t304 @t303 @t302)) % 242.88/243.32 (define @t306 () (@list @t73)) % 242.88/243.32 (define @t307 () (forall @t306 @t305)) % 242.88/243.32 (define @t308 () (not @t307)) % 242.88/243.32 (define @t309 () (not @t308)) % 242.88/243.32 (define @t310 () (or @t286 @t309 @t284)) % 242.88/243.32 (define @t311 () (or @t309 @t284)) % 242.88/243.32 (define @t312 () (not (and @t308 @t71))) % 242.88/243.32 (define @t313 () (and @t285 @t308 @t71)) % 242.88/243.32 (define @t314 () (forall @t47 (not @t313))) % 242.88/243.32 (define @t315 () (not @t314)) % 242.88/243.32 (define @t316 () (not (= tptp.n_i tptp.n_i))) % 242.88/243.32 (define @t317 () (or @t316 @t304 @t303 @t302)) % 242.88/243.32 (define @t318 () (+ @t72 @t301)) % 242.88/243.32 (define @t319 () (>= @t318 0)) % 242.88/243.32 (define @t320 () (not @t319)) % 242.88/243.32 (define @t321 () (= tptp.n_i @t72)) % 242.88/243.32 (define @t322 () (not @t321)) % 242.88/243.32 (define @t323 () (@list @t72)) % 242.88/243.32 (define @t324 () (* 1 (- @t72 tptp.n_i))) % 242.88/243.32 (define @t325 () (* -1 (- tptp.n_i @t72))) % 242.88/243.32 (define @t326 () (or @t322 @t322 @t304 @t303 @t320)) % 242.88/243.32 (define @t327 () (or @t322 @t304 @t303 @t320)) % 242.88/243.32 (define @t328 () (forall @t323 @t327)) % 242.88/243.32 (define @t329 () (forall @t306 @t328)) % 242.88/243.32 (define @t330 () (forall (@list @t73 @t72) @t327)) % 242.88/243.32 (define @t331 () (@list @t72 @t73)) % 242.88/243.32 (define @t332 () (+ 2 @t301)) % 242.88/243.32 (define @t333 () (+ @t73 1)) % 242.88/243.32 (define @t334 () (>= @t332 1)) % 242.88/243.32 (define @t335 () (= 2 2)) % 242.88/243.32 (define @t336 () (not @t335)) % 242.88/243.32 (define @t337 () (or @t336 @t322 @t304 @t334 @t320)) % 242.88/243.32 (define @t338 () (+ @t74 @t301)) % 242.88/243.32 (define @t339 () (>= @t338 1)) % 242.88/243.32 (define @t340 () (not @t77)) % 242.88/243.32 (define @t341 () (or @t340 @t340 @t322 @t304 @t339 @t320)) % 242.88/243.32 (define @t342 () (@list @t74)) % 242.88/243.32 (define @t343 () (or @t340 @t322 @t304 @t339 @t320)) % 242.88/243.32 (define @t344 () (forall @t342 @t343)) % 242.88/243.32 (define @t345 () (forall @t331 @t344)) % 242.88/243.32 (define @t346 () (forall (@list @t72 @t73 @t74) @t343)) % 242.88/243.32 (define @t347 () (not @t339)) % 242.88/243.32 (define @t348 () (not @t347)) % 242.88/243.32 (define @t349 () (or @t340 @t322 @t304 @t348 @t320)) % 242.88/243.32 (define @t350 () (and @t77 @t321 @t75 @t347 @t319)) % 242.88/243.32 (define @t351 () (forall @t79 (not @t350))) % 242.88/243.32 (define @t352 () (not @t351)) % 242.88/243.32 (define @t353 () (>= @t74 @t333)) % 242.88/243.32 (define @t354 () (not (= @t49 @t49))) % 242.88/243.32 (define @t355 () (or @t354 @t249 @t247 @t246)) % 242.88/243.32 (define @t356 () (not (= @t39 @t248))) % 242.88/243.32 (define @t357 () (not (= @t49 @t39))) % 242.88/243.32 (define @t358 () (or @t357 @t357 @t356 @t247 @t246)) % 242.88/243.32 (define @t359 () (or @t357 @t356 @t247 @t246)) % 242.88/243.32 (define @t360 () (forall @t276 @t359)) % 242.88/243.32 (define @t361 () (forall @t251 @t360)) % 242.88/243.32 (define @t362 () (forall (@list @t234 @t39) @t359)) % 242.88/243.32 (define @t363 () (@list @t39 @t234)) % 242.88/243.32 (define @t364 () (or @t354 @t357 @t356 @t247 @t246)) % 242.88/243.32 (define @t365 () (= @t49 @t40)) % 242.88/243.32 (define @t366 () (not @t365)) % 242.88/243.32 (define @t367 () (not @t50)) % 242.88/243.32 (define @t368 () (or @t366 @t366 @t284 @t356 @t247 @t246)) % 242.88/243.32 (define @t369 () (or @t366 @t284 @t356 @t247 @t246)) % 242.88/243.32 (define @t370 () (forall @t93 @t369)) % 242.88/243.32 (define @t371 () (forall @t363 @t370)) % 242.88/243.32 (define @t372 () (forall (@list @t39 @t234 @t40) @t369)) % 242.88/243.32 (define @t373 () (@list @t40 @t39 @t234)) % 242.88/243.32 (define @t374 () (or @t356 @t247 @t246)) % 242.88/243.32 (define @t375 () (or @t366 @t374 @t284)) % 242.88/243.32 (define @t376 () (forall @t373 @t375)) % 242.88/243.32 (define @t377 () (forall @t251 @t375)) % 242.88/243.32 (define @t378 () (forall @t251 @t374)) % 242.88/243.32 (define @t379 () (or @t366 @t378 @t284)) % 242.88/243.32 (define @t380 () (or @t366 @t309 @t284)) % 242.88/243.32 (define @t381 () (and @t365 @t308 @t71)) % 242.88/243.32 (define @t382 () (forall @t47 (not @t381))) % 242.88/243.32 (define @t383 () (not @t382)) % 242.88/243.32 (define @t384 () (and @t258 @t255 @t253)) % 242.88/243.32 (define @t385 () (forall @t62 (not @t384))) % 242.88/243.32 (define @t386 () (not @t385)) % 242.88/243.32 (define @t387 () (not @t87)) % 242.88/243.32 (define @t388 () (and @t387 @t130)) % 242.88/243.32 (define @t389 () (not @t174)) % 242.88/243.32 (define @t390 () (@var "BOUND_VARIABLE_8273" tptp.general)) % 242.88/243.32 (define @t391 () (lambda (@list @t390) (not (forall @t173 (or @t171 @t169 @t167 @t165 (not (= @t390 @t162))))))) % 242.88/243.32 (define @t392 () (_ @t391 @t59)) % 242.88/243.32 (define @t393 () (not @t392)) % 242.88/243.32 (define @t394 () (and @t393 @t159)) % 242.88/243.32 (define @t395 () (= @t99 @t394)) % 242.88/243.32 (define @t396 () (not @t165)) % 242.88/243.32 (define @t397 () (not @t169)) % 242.88/243.32 (define @t398 () (or (not (and @t170 @t397)) (not (and @t166 @t396)) @t163)) % 242.88/243.32 (define @t399 () (not (= @t164 @t42))) % 242.88/243.32 (define @t400 () (and @t166 @t399)) % 242.88/243.32 (define @t401 () (@var "BOUND_VARIABLE_8141" tptp.general)) % 242.88/243.32 (define @t402 () (@var "BOUND_VARIABLE_8140" tptp.general)) % 242.88/243.32 (define @t403 () (lambda (@list @t402 @t401) (and (tptp.p__greater_equal__ @t402 @t401) (not (= @t402 @t401))))) % 242.88/243.32 (define @t404 () (_ @t403 @t164 @t42)) % 242.88/243.32 (define @t405 () (not @t404)) % 242.88/243.32 (define @t406 () (not (= @t168 @t42))) % 242.88/243.32 (define @t407 () (and @t170 @t406)) % 242.88/243.32 (define @t408 () (_ @t403 @t168 @t42)) % 242.88/243.32 (define @t409 () (not @t408)) % 242.88/243.32 (define @t410 () (or @t409 @t405 @t163)) % 242.88/243.32 (define @t411 () (forall @t173 @t410)) % 242.88/243.32 (define @t412 () (not @t411)) % 242.88/243.32 (define @t413 () (= @t67 @t412)) % 242.88/243.32 (define @t414 () (_ @t114 @t20 @t8)) % 242.88/243.32 (define @t415 () (and @t414 @t30)) % 242.88/243.32 (define @t416 () (= @t34 @t415)) % 242.88/243.32 (define @t417 () (not (tptp.p__greater__ @t164 @t42))) % 242.88/243.32 (define @t418 () (not (tptp.p__greater__ @t168 @t42))) % 242.88/243.32 (define @t419 () (or @t418 @t417 @t163)) % 242.88/243.32 (define @t420 () (forall @t173 @t419)) % 242.88/243.32 (define @t421 () (not @t420)) % 242.88/243.32 (define @t422 () (= @t67 @t421)) % 242.88/243.32 (define @t423 () (not (= @t164 @t164))) % 242.88/243.32 (define @t424 () (or @t418 @t417 @t163 @t423)) % 242.88/243.32 (define @t425 () (not (= @t44 @t164))) % 242.88/243.32 (define @t426 () (tptp.p__greater__ @t44 @t42)) % 242.88/243.32 (define @t427 () (not @t426)) % 242.88/243.32 (define @t428 () (or @t425 @t418 @t427 @t163 @t425)) % 242.88/243.32 (define @t429 () (or @t418 @t427 @t163 @t425)) % 242.88/243.32 (define @t430 () (forall @t208 @t429)) % 242.88/243.32 (define @t431 () (forall @t173 @t430)) % 242.88/243.32 (define @t432 () (forall (@list @t161 @t160 @t44) @t429)) % 242.88/243.32 (define @t433 () (@list @t44 @t161 @t160)) % 242.88/243.32 (define @t434 () (not (= @t168 @t168))) % 242.88/243.32 (define @t435 () (or @t418 @t427 @t163 @t434 @t425)) % 242.88/243.32 (define @t436 () (not (= @t49 @t168))) % 242.88/243.32 (define @t437 () (tptp.p__greater__ @t49 @t42)) % 242.88/243.32 (define @t438 () (not @t437)) % 242.88/243.32 (define @t439 () (or @t436 @t438 @t427 @t163 @t436 @t425)) % 242.88/243.32 (define @t440 () (or @t438 @t427 @t163 @t436 @t425)) % 242.88/243.32 (define @t441 () (forall @t97 @t440)) % 242.88/243.32 (define @t442 () (forall @t433 @t441)) % 242.88/243.32 (define @t443 () (forall (@list @t44 @t161 @t160 @t49) @t440)) % 242.88/243.32 (define @t444 () (@list @t49 @t44 @t161 @t160)) % 242.88/243.32 (define @t445 () (or @t163 @t436 @t425)) % 242.88/243.32 (define @t446 () (or @t445 @t438 @t427)) % 242.88/243.32 (define @t447 () (forall @t444 @t446)) % 242.88/243.32 (define @t448 () (forall @t173 @t446)) % 242.88/243.32 (define @t449 () (forall @t173 @t445)) % 242.88/243.32 (define @t450 () (or @t449 @t438 @t427)) % 242.88/243.32 (define @t451 () (or @t267 @t438 @t427)) % 242.88/243.32 (define @t452 () (and @t266 @t437 @t426)) % 242.88/243.32 (define @t453 () (forall @t65 (not @t452))) % 242.88/243.32 (define @t454 () (not @t453)) % 242.88/243.32 (define @t455 () (not (= @t42 @t42))) % 242.88/243.32 (define @t456 () (or @t455 @t427)) % 242.88/243.32 (define @t457 () (not (tptp.p__greater__ @t44 @t39))) % 242.88/243.32 (define @t458 () (not @t43)) % 242.88/243.32 (define @t459 () (or @t458 @t458 @t457)) % 242.88/243.32 (define @t460 () (or @t458 @t457)) % 242.88/243.32 (define @t461 () (or @t272 @t458 @t457)) % 242.88/243.32 (define @t462 () (not @t41)) % 242.88/243.32 (define @t463 () (or @t286 @t286 @t458 @t462)) % 242.88/243.32 (define @t464 () (or @t286 @t458 @t462)) % 242.88/243.32 (define @t465 () (forall @t93 @t464)) % 242.88/243.32 (define @t466 () (forall @t276 @t465)) % 242.88/243.32 (define @t467 () (@list @t39 @t40)) % 242.88/243.32 (define @t468 () (forall @t467 @t464)) % 242.88/243.32 (define @t469 () (or @t458 @t462)) % 242.88/243.32 (define @t470 () (not (and @t43 @t41))) % 242.88/243.32 (define @t471 () (and @t285 @t43 @t41)) % 242.88/243.32 (define @t472 () (forall @t47 (not @t471))) % 242.88/243.32 (define @t473 () (not @t472)) % 242.88/243.32 (define @t474 () (or @t455 @t438)) % 242.88/243.32 (define @t475 () (not (tptp.p__greater__ @t49 @t39))) % 242.88/243.32 (define @t476 () (or @t458 @t458 @t475)) % 242.88/243.32 (define @t477 () (or @t458 @t475)) % 242.88/243.32 (define @t478 () (or @t354 @t458 @t475)) % 242.88/243.32 (define @t479 () (or @t366 @t366 @t458 @t462)) % 242.88/243.32 (define @t480 () (or @t366 @t458 @t462)) % 242.88/243.32 (define @t481 () (forall @t93 @t480)) % 242.88/243.32 (define @t482 () (forall @t276 @t481)) % 242.88/243.32 (define @t483 () (forall @t467 @t480)) % 242.88/243.32 (define @t484 () (and @t365 @t43 @t41)) % 242.88/243.32 (define @t485 () (forall @t47 (not @t484))) % 242.88/243.32 (define @t486 () (not @t485)) % 242.88/243.32 (define @t487 () (not @t67)) % 242.88/243.32 (define @t488 () (and @t487 @t159)) % 242.88/243.32 (define @t489 () (= @t99 @t488)) % 242.88/243.32 (define @t490 () (or @t67 @t158)) % 242.88/243.32 (define @t491 () (= @t99 (not @t490))) % 242.88/243.32 (define @t492 () (or @t67 @t156)) % 242.88/243.32 (define @t493 () (or @t67 @t155 @t153 @t152)) % 242.88/243.32 (define @t494 () (not (= @t59 @t59))) % 242.88/243.32 (define @t495 () (or @t494 @t67 @t155 @t153 @t152)) % 242.88/243.32 (define @t496 () (not (= @t49 @t154))) % 242.88/243.32 (define @t497 () (tptp.composite @t49)) % 242.88/243.32 (define @t498 () (not @t95)) % 242.88/243.32 (define @t499 () (not (= @t49 @t59))) % 242.88/243.32 (define @t500 () (or @t498 @t498 @t497 @t496 @t153 @t152)) % 242.88/243.32 (define @t501 () (or @t498 @t497 @t496 @t153 @t152)) % 242.88/243.32 (define @t502 () (forall @t97 @t501)) % 242.88/243.32 (define @t503 () (forall @t157 @t502)) % 242.88/243.32 (define @t504 () (forall (@list @t151 @t49) @t501)) % 242.88/243.32 (define @t505 () (@list @t49 @t151)) % 242.88/243.32 (define @t506 () (or @t496 @t153 @t152)) % 242.88/243.32 (define @t507 () (or @t498 @t506 @t497)) % 242.88/243.32 (define @t508 () (forall @t505 @t507)) % 242.88/243.32 (define @t509 () (forall @t157 @t507)) % 242.88/243.32 (define @t510 () (forall @t157 @t506)) % 242.88/243.32 (define @t511 () (or @t498 @t510 @t497)) % 242.88/243.32 (define @t512 () (not @t497)) % 242.88/243.32 (define @t513 () (not @t512)) % 242.88/243.32 (define @t514 () (or @t498 @t265 @t513)) % 242.88/243.32 (define @t515 () (and @t95 @t264 @t512)) % 242.88/243.32 (define @t516 () (forall @t97 (not @t515))) % 242.88/243.32 (define @t517 () (not @t516)) % 242.88/243.32 (define @t518 () (or @t354 @t497)) % 242.88/243.32 (define @t519 () (or @t366 @t366 @t90)) % 242.88/243.32 (define @t520 () (or @t366 @t90)) % 242.88/243.32 (define @t521 () (and @t365 @t91)) % 242.88/243.32 (define @t522 () (forall @t93 (not @t521))) % 242.88/243.32 (define @t523 () (not @t522)) % 242.88/243.32 (define @t524 () (= @t99 @t388)) % 242.88/243.32 (define @t525 () (forall @t69 @t524)) % 242.88/243.32 (define @t526 () (or @t87 @t129)) % 242.88/243.32 (define @t527 () (= @t99 (not @t526))) % 242.88/243.32 (define @t528 () (or @t87 @t127)) % 242.88/243.32 (define @t529 () (or @t87 @t126 @t124 @t123)) % 242.88/243.32 (define @t530 () (or @t494 @t87 @t126 @t124 @t123)) % 242.88/243.32 (define @t531 () (not (= @t49 @t125))) % 242.88/243.32 (define @t532 () (tptp.composite_p @t49)) % 242.88/243.32 (define @t533 () (or @t498 @t498 @t532 @t531 @t124 @t123)) % 242.88/243.32 (define @t534 () (or @t498 @t532 @t531 @t124 @t123)) % 242.88/243.32 (define @t535 () (forall @t97 @t534)) % 242.88/243.32 (define @t536 () (forall @t128 @t535)) % 242.88/243.32 (define @t537 () (forall (@list @t122 @t49) @t534)) % 242.88/243.32 (define @t538 () (@list @t49 @t122)) % 242.88/243.32 (define @t539 () (or @t531 @t124 @t123)) % 242.88/243.32 (define @t540 () (or @t498 @t539 @t532)) % 242.88/243.32 (define @t541 () (forall @t538 @t540)) % 242.88/243.32 (define @t542 () (forall @t128 @t540)) % 242.88/243.32 (define @t543 () (forall @t128 @t539)) % 242.88/243.32 (define @t544 () (or @t498 @t543 @t532)) % 242.88/243.32 (define @t545 () (not @t532)) % 242.88/243.32 (define @t546 () (not @t545)) % 242.88/243.32 (define @t547 () (or @t498 @t265 @t546)) % 242.88/243.32 (define @t548 () (and @t95 @t264 @t545)) % 242.88/243.32 (define @t549 () (forall @t97 (not @t548))) % 242.88/243.32 (define @t550 () (not @t549)) % 242.88/243.32 (define @t551 () (or @t354 @t532)) % 242.88/243.32 (define @t552 () (or @t366 @t366 @t102)) % 242.88/243.32 (define @t553 () (or @t366 @t102)) % 242.88/243.32 (define @t554 () (and @t365 @t103)) % 242.88/243.32 (define @t555 () (forall @t93 (not @t554))) % 242.88/243.32 (define @t556 () (not @t555)) % 242.88/243.32 (define @t557 () (forall @t128 (or (not (= @t125 @t177)) @t124 @t123))) % 242.88/243.32 (define @t558 () (not @t557)) % 242.88/243.32 (define @t559 () (forall @t148 (or (not (= @t145 @t177)) @t144 @t140 @t139 @t137 @t133 @t132))) % 242.88/243.32 (define @t560 () (and @t559 @t558)) % 242.88/243.32 (define @t561 () (= @t189 @t560)) % 242.88/243.32 (define @t562 () (not @t561)) % 242.88/243.32 (define @t563 () (not @t176)) % 242.88/243.32 (define @t564 () (not (= @t177 @t125))) % 242.88/243.32 (define @t565 () (or @t564 @t124 @t123)) % 242.88/243.32 (define @t566 () (forall @t128 @t565)) % 242.88/243.32 (define @t567 () (not @t566)) % 242.88/243.32 (define @t568 () (not (= @t177 @t145))) % 242.88/243.32 (define @t569 () (or @t568 @t144 @t140 @t139 @t137 @t133 @t132)) % 242.88/243.32 (define @t570 () (forall @t148 @t569)) % 242.88/243.32 (define @t571 () (and @t570 @t567)) % 242.88/243.32 (define @t572 () (not (= @t177 @t154))) % 242.88/243.32 (define @t573 () (or @t572 @t153 @t152)) % 242.88/243.32 (define @t574 () (forall @t157 @t573)) % 242.88/243.32 (define @t575 () (not @t574)) % 242.88/243.32 (define @t576 () (not (= @t177 @t162))) % 242.88/243.32 (define @t577 () (or @t171 @t169 @t167 @t165 @t576)) % 242.88/243.32 (define @t578 () (forall @t173 @t577)) % 242.88/243.32 (define @t579 () (and @t578 @t575)) % 242.88/243.32 (define @t580 () (= @t579 @t571)) % 242.88/243.32 (define @t581 () (not @t580)) % 242.88/243.32 (define @t582 () (@list true)) % 242.88/243.32 (define @t583 () (not @t560)) % 242.88/243.32 (define @t584 () (not @t178)) % 242.88/243.32 (define @t585 () (not @t188)) % 242.88/243.32 (define @t586 () (@quantifiers_skolemize @t559 3)) % 242.88/243.32 (define @t587 () (@quantifiers_skolemize @t559 2)) % 242.88/243.32 (define @t588 () (* @t587 @t586)) % 242.88/243.32 (define @t589 () (tptp.f__integer__ @t588)) % 242.88/243.32 (define @t590 () (* @t586 @t587)) % 242.88/243.32 (define @t591 () (tptp.f__integer__ @t590)) % 242.88/243.32 (define @t592 () (= @t591 @t177)) % 242.88/243.32 (define @t593 () (not @t592)) % 242.88/243.32 (define @t594 () (tptp.f__integer__ @t587)) % 242.88/243.32 (define @t595 () (= @t42 @t594)) % 242.88/243.32 (define @t596 () (tptp.p__greater_equal__ @t594 @t42)) % 242.88/243.32 (define @t597 () (not @t596)) % 242.88/243.32 (define @t598 () (tptp.f__integer__ @t586)) % 242.88/243.32 (define @t599 () (= @t42 @t598)) % 242.88/243.32 (define @t600 () (tptp.p__greater_equal__ @t598 @t42)) % 242.88/243.32 (define @t601 () (not @t600)) % 242.88/243.32 (define @t602 () (or @t601 @t599 @t597 @t595 @t593)) % 242.88/243.32 (define @t603 () (@list @t187)) % 242.88/243.32 (define @t604 () (not @t559)) % 242.88/243.32 (define @t605 () (* -1 @t586)) % 242.88/243.32 (define @t606 () (not (>= (+ tptp.n_i @t605) 0))) % 242.88/243.32 (define @t607 () (>= @t586 2)) % 242.88/243.32 (define @t608 () (not @t607)) % 242.88/243.32 (define @t609 () (@quantifiers_skolemize @t559 1)) % 242.88/243.32 (define @t610 () (= (tptp.f__integer__ @t609) @t598)) % 242.88/243.32 (define @t611 () (not @t610)) % 242.88/243.32 (define @t612 () (* -1 @t587)) % 242.88/243.32 (define @t613 () (not (>= (+ tptp.n_i @t612) 0))) % 242.88/243.32 (define @t614 () (>= @t587 2)) % 242.88/243.32 (define @t615 () (not @t614)) % 242.88/243.32 (define @t616 () (@quantifiers_skolemize @t559 0)) % 242.88/243.32 (define @t617 () (= (tptp.f__integer__ @t616) @t594)) % 242.88/243.32 (define @t618 () (not @t617)) % 242.88/243.32 (define @t619 () (* @t616 @t609)) % 242.88/243.32 (define @t620 () (tptp.f__integer__ @t619)) % 242.88/243.32 (define @t621 () (= @t177 @t620)) % 242.88/243.32 (define @t622 () (not @t621)) % 242.88/243.32 (define @t623 () (or @t622 @t618 @t615 @t613 @t611 @t608 @t606)) % 242.88/243.32 (define @t624 () (not @t623)) % 242.88/243.32 (define @t625 () (not (= @t620 @t177))) % 242.88/243.32 (define @t626 () (or @t625 @t618 @t615 @t613 @t611 @t608 @t606)) % 242.88/243.32 (define @t627 () (not @t626)) % 242.88/243.32 (define @t628 () (= @t616 @t587)) % 242.88/243.32 (define @t629 () (= @t617 @t628)) % 242.88/243.32 (define @t630 () (= @t609 @t586)) % 242.88/243.32 (define @t631 () (= @t610 @t630)) % 242.88/243.32 (define @t632 () (tptp.p__greater_equal__ @t42 @t598)) % 242.88/243.32 (define @t633 () (+ -1 @t586)) % 242.88/243.32 (define @t634 () (* -1 1)) % 242.88/243.32 (define @t635 () (+ @t586 @t634)) % 242.88/243.32 (define @t636 () (>= @t635 1)) % 242.88/243.32 (define @t637 () (not @t636)) % 242.88/243.32 (define @t638 () (forall @t13 (= @t118 @t111))) % 242.88/243.32 (define @t639 () (= @t637 @t632)) % 242.88/243.32 (define @t640 () (@list @t586 1)) % 242.88/243.32 (define @t641 () (= @t608 @t632)) % 242.88/243.32 (define @t642 () (@list false)) % 242.88/243.33 (define @t643 () (@list @t638)) % 242.88/243.33 (define @t644 () (_ @t114 @t8 @t20)) % 242.88/243.33 (define @t645 () (or @t644 @t414)) % 242.88/243.33 (define @t646 () (or @t600 @t632)) % 242.88/243.33 (define @t647 () (@quantifiers_skolemize @t187 0)) % 242.88/243.33 (define @t648 () (* -1 @t647)) % 242.88/243.33 (define @t649 () (+ tptp.n_i @t648)) % 242.88/243.33 (define @t650 () (>= @t649 0)) % 242.88/243.33 (define @t651 () (not @t650)) % 242.88/243.33 (define @t652 () (>= @t647 2)) % 242.88/243.33 (define @t653 () (not @t652)) % 242.88/243.33 (define @t654 () (tptp.f__integer__ @t647)) % 242.88/243.33 (define @t655 () (= @t177 @t654)) % 242.88/243.33 (define @t656 () (not @t655)) % 242.88/243.33 (define @t657 () (or @t656 @t653 @t651)) % 242.88/243.33 (define @t658 () (not @t657)) % 242.88/243.33 (define @t659 () (not (= @t654 @t177))) % 242.88/243.33 (define @t660 () (or @t659 @t653 @t651)) % 242.88/243.33 (define @t661 () (not @t660)) % 242.88/243.33 (define @t662 () (@list @t657)) % 242.88/243.33 (define @t663 () (= @t654 @t620)) % 242.88/243.33 (define @t664 () (and @t655 @t621)) % 242.88/243.33 (define @t665 () (>= @t587 1)) % 242.88/243.33 (define @t666 () (< @t587 1)) % 242.88/243.33 (define @t667 () (>= 0 -1)) % 242.88/243.33 (define @t668 () (+ 1 -2)) % 242.88/243.33 (define @t669 () (* -1 2)) % 242.88/243.33 (define @t670 () (+ 1 @t669)) % 242.88/243.33 (define @t671 () (+ @t587 @t612)) % 242.88/243.33 (define @t672 () (= @t671 0)) % 242.88/243.33 (define @t673 () (>= @t671 @t670)) % 242.88/243.33 (define @t674 () (< -1 0)) % 242.88/243.33 (define @t675 () (= @t587 1)) % 242.88/243.33 (define @t676 () (<= 0 -1)) % 242.88/243.33 (define @t677 () (not @t675)) % 242.88/243.33 (define @t678 () (= @t586 1)) % 242.88/243.33 (define @t679 () (+ @t586 @t605)) % 242.88/243.33 (define @t680 () (not @t678)) % 242.88/243.33 (define @t681 () (= @t647 @t619)) % 242.88/243.33 (define @t682 () (= @t663 @t681)) % 242.88/243.33 (define @t683 () (+ 1 @t612)) % 242.88/243.33 (define @t684 () (+ @t587 1)) % 242.88/243.33 (define @t685 () (>= @t683 1)) % 242.88/243.33 (define @t686 () (not @t685)) % 242.88/243.33 (define @t687 () (= @t686 @t596)) % 242.88/243.33 (define @t688 () (@list 1 @t587)) % 242.88/243.33 (define @t689 () (= @t596 @t665)) % 242.88/243.33 (define @t690 () (= 1 @t587)) % 242.88/243.33 (define @t691 () (= @t595 @t690)) % 242.88/243.33 (define @t692 () (= @t595 @t675)) % 242.88/243.33 (define @t693 () (@list @t14)) % 242.88/243.33 (define @t694 () (= (= @t598 @t42) @t678)) % 242.88/243.33 (define @t695 () (= @t599 @t678)) % 242.88/243.33 (define @t696 () (= @t647 @t588)) % 242.88/243.33 (define @t697 () (= @t177 @t589)) % 242.88/243.33 (define @t698 () (and @t655 @t681 @t628 @t630)) % 242.88/243.33 (define @t699 () (not @t697)) % 242.88/243.33 (define @t700 () (or @t601 @t599 @t597 @t595 @t699)) % 242.88/243.33 (define @t701 () (@quantifiers_skolemize @t178 0)) % 242.88/243.33 (define @t702 () (* @t701 @t179)) % 242.88/243.33 (define @t703 () (tptp.f__integer__ @t702)) % 242.88/243.33 (define @t704 () (= @t177 @t703)) % 242.88/243.33 (define @t705 () (not @t704)) % 242.88/243.33 (define @t706 () (tptp.f__integer__ @t179)) % 242.88/243.33 (define @t707 () (= @t42 @t706)) % 242.88/243.33 (define @t708 () (tptp.p__greater_equal__ @t706 @t42)) % 242.88/243.33 (define @t709 () (not @t708)) % 242.88/243.33 (define @t710 () (tptp.f__integer__ @t701)) % 242.88/243.33 (define @t711 () (= @t42 @t710)) % 242.88/243.33 (define @t712 () (tptp.p__greater_equal__ @t710 @t42)) % 242.88/243.33 (define @t713 () (not @t712)) % 242.88/243.33 (define @t714 () (or @t713 @t711 @t709 @t707 @t705)) % 242.88/243.33 (define @t715 () (not @t714)) % 242.88/243.33 (define @t716 () (not (= @t703 @t177))) % 242.88/243.33 (define @t717 () (or @t713 @t711 @t709 @t707 @t716)) % 242.88/243.33 (define @t718 () (not @t717)) % 242.88/243.33 (define @t719 () (@list @t178)) % 242.88/243.33 (define @t720 () (@list @t714)) % 242.88/243.33 (define @t721 () (>= @t179 1)) % 242.88/243.33 (define @t722 () (not @t721)) % 242.88/243.33 (define @t723 () (= 1 @t179)) % 242.88/243.33 (define @t724 () (and @t186 @t721)) % 242.88/243.33 (define @t725 () (= @t654 @t703)) % 242.88/243.33 (define @t726 () (and @t655 @t704)) % 242.88/243.33 (define @t727 () (@list false false)) % 242.88/243.33 (define @t728 () (= @t647 @t702)) % 242.88/243.33 (define @t729 () (= @t725 @t728)) % 242.88/243.33 (define @t730 () (= @t647 0)) % 242.88/243.33 (define @t731 () (+ 0 @t669)) % 242.88/243.33 (define @t732 () (+ @t647 @t648)) % 242.88/243.33 (define @t733 () (and @t730 @t652)) % 242.88/243.33 (define @t734 () (not @t730)) % 242.88/243.33 (define @t735 () (= @t702 0)) % 242.88/243.33 (define @t736 () (not @t735)) % 242.88/243.33 (define @t737 () (not @t728)) % 242.88/243.33 (define @t738 () (and @t734 @t728)) % 242.88/243.33 (define @t739 () (@list true false)) % 242.88/243.33 (define @t740 () (= @t179 0)) % 242.88/243.33 (define @t741 () (= 0 0)) % 242.88/243.33 (define @t742 () (= (* @t701 0) 0)) % 242.88/243.33 (define @t743 () (not @t740)) % 242.88/243.33 (define @t744 () (@list @t735)) % 242.88/243.33 (define @t745 () (not @t743)) % 242.88/243.33 (define @t746 () (+ 0 1)) % 242.88/243.33 (define @t747 () (>= @t179 @t746)) % 242.88/243.33 (define @t748 () (not @t747)) % 242.88/243.33 (define @t749 () (<= @t179 0)) % 242.88/243.33 (define @t750 () (not @t749)) % 242.88/243.33 (define @t751 () (not (>= 0 @t179))) % 242.88/243.33 (define @t752 () (> @t179 0)) % 242.88/243.33 (define @t753 () (and @t722 @t743 @t183)) % 242.88/243.33 (define @t754 () (>= @t701 1)) % 242.88/243.33 (define @t755 () (* -1 @t701)) % 242.88/243.33 (define @t756 () (+ 1 @t755)) % 242.88/243.33 (define @t757 () (+ @t701 1)) % 242.88/243.33 (define @t758 () (>= @t756 1)) % 242.88/243.33 (define @t759 () (not @t758)) % 242.88/243.33 (define @t760 () (= @t759 @t712)) % 242.88/243.33 (define @t761 () (= @t712 @t754)) % 242.88/243.33 (define @t762 () (>= @t701 0)) % 242.88/243.33 (define @t763 () (>= @t701 @t746)) % 242.88/243.33 (define @t764 () (<= @t701 0)) % 242.88/243.33 (define @t765 () (not @t762)) % 242.88/243.33 (define @t766 () (not @t764)) % 242.88/243.33 (define @t767 () (>= 0 0)) % 242.88/243.33 (define @t768 () (+ 0 0)) % 242.88/243.33 (define @t769 () (* -1 0)) % 242.88/243.33 (define @t770 () (+ @t769 0)) % 242.88/243.33 (define @t771 () (+ @t755 @t701)) % 242.88/243.33 (define @t772 () (= @t771 0)) % 242.88/243.33 (define @t773 () (>= @t771 @t770)) % 242.88/243.33 (define @t774 () (not @t754)) % 242.88/243.33 (define @t775 () (>= @t701 -1)) % 242.88/243.33 (define @t776 () (+ -1 1)) % 242.88/243.33 (define @t777 () (>= @t701 @t776)) % 242.88/243.33 (define @t778 () (<= @t701 -1)) % 242.88/243.33 (define @t779 () (not @t775)) % 242.88/243.33 (define @t780 () (not @t778)) % 242.88/243.33 (define @t781 () (* -1 -1)) % 242.88/243.33 (define @t782 () (+ @t781 -1)) % 242.88/243.33 (define @t783 () (>= @t771 @t782)) % 242.88/243.33 (define @t784 () (+ @t701 @t702)) % 242.88/243.33 (define @t785 () (>= @t784 1)) % 242.88/243.33 (define @t786 () (not @t785)) % 242.88/243.33 (define @t787 () (+ 1 @t781 @t669 0)) % 242.88/243.33 (define @t788 () (* -1 @t702)) % 242.88/243.33 (define @t789 () (+ @t755 @t788 @t702 @t701 @t648 @t647)) % 242.88/243.33 (define @t790 () (+ @t647 @t788)) % 242.88/243.33 (define @t791 () (+ @t784 @t755 @t648 @t790)) % 242.88/243.33 (define @t792 () (>= @t791 @t787)) % 242.88/243.33 (define @t793 () (= (* 1 (- @t790 0)) (* 1 (- @t647 @t702)))) % 242.88/243.33 (define @t794 () (= @t790 0)) % 242.88/243.33 (define @t795 () (= @t794 @t728)) % 242.88/243.33 (define @t796 () (* 1 (- @t701 @t788))) % 242.88/243.33 (define @t797 () (* 1 (- @t784 0))) % 242.88/243.33 (define @t798 () (= @t701 @t788)) % 242.88/243.33 (define @t799 () (= @t784 0)) % 242.88/243.33 (define @t800 () (+ 0 -1)) % 242.88/243.33 (define @t801 () (+ 0 @t634)) % 242.88/243.33 (define @t802 () (* 0 @t701)) % 242.88/243.33 (define @t803 () (= @t802 0)) % 242.88/243.33 (define @t804 () (* 0 @t702)) % 242.88/243.33 (define @t805 () (= @t804 0)) % 242.88/243.33 (define @t806 () (+ @t804 @t802)) % 242.88/243.33 (define @t807 () (+ @t784 (* -1 @t784))) % 242.88/243.33 (define @t808 () (= @t807 @t806)) % 242.88/243.33 (define @t809 () (not @t798)) % 242.88/243.33 (define @t810 () (@list @t785)) % 242.88/243.33 (define @t811 () (= @t702 @t755)) % 242.88/243.33 (define @t812 () (= @t179 -1)) % 242.88/243.33 (define @t813 () (= (* @t701 -1) @t755)) % 242.88/243.33 (define @t814 () (not @t812)) % 242.88/243.33 (define @t815 () (and @t180 @t814)) % 242.88/243.33 (define @t816 () (not @t184)) % 242.88/243.33 (define @t817 () (+ -1 @t701)) % 242.88/243.33 (define @t818 () (>= @t701 2)) % 242.88/243.33 (define @t819 () (+ @t701 @t634)) % 242.88/243.33 (define @t820 () (>= @t819 1)) % 242.88/243.33 (define @t821 () (not @t820)) % 242.88/243.33 (define @t822 () (tptp.p__greater_equal__ @t42 @t710)) % 242.88/243.33 (define @t823 () (= @t821 @t822)) % 242.88/243.33 (define @t824 () (not @t818)) % 242.88/243.33 (define @t825 () (= @t822 @t824)) % 242.88/243.33 (define @t826 () (not @t414)) % 242.88/243.33 (define @t827 () (not @t644)) % 242.88/243.33 (define @t828 () (or @t827 @t826 @t21)) % 242.88/243.33 (define @t829 () (not @t22)) % 242.88/243.33 (define @t830 () (not @t23)) % 242.88/243.33 (define @t831 () (or @t830 @t829 @t21)) % 242.88/243.33 (define @t832 () (not @t822)) % 242.88/243.33 (define @t833 () (or @t713 @t832 @t711)) % 242.88/243.33 (define @t834 () (not @t825)) % 242.88/243.33 (define @t835 () (ite @t762 @t818 @t779)) % 242.88/243.33 (define @t836 () (= @t701 0)) % 242.88/243.33 (define @t837 () (= (* 0 @t179) 0)) % 242.88/243.33 (define @t838 () (not @t836)) % 242.88/243.33 (define @t839 () (not @t835)) % 242.88/243.33 (define @t840 () (and @t835 @t838 @t743)) % 242.88/243.33 (define @t841 () (not @t838)) % 242.88/243.33 (define @t842 () (@list true true false)) % 242.88/243.33 (define @t843 () (+ @t179 @t788)) % 242.88/243.33 (define @t844 () (>= @t843 1)) % 242.88/243.33 (define @t845 () (* -1 @t179)) % 242.88/243.33 (define @t846 () (+ @t845 1)) % 242.88/243.33 (define @t847 () (>= @t788 @t846)) % 242.88/243.33 (define @t848 () (- @t179)) % 242.88/243.33 (define @t849 () (- @t702)) % 242.88/243.33 (define @t850 () (<= @t849 @t848)) % 242.88/243.33 (define @t851 () (+ @t179 @t702)) % 242.88/243.33 (define @t852 () (>= @t851 0)) % 242.88/243.33 (define @t853 () (<= @t849 @t179)) % 242.88/243.33 (define @t854 () (ite @t183 (> @t849 @t179) (> @t849 @t848))) % 242.88/243.33 (define @t855 () (>= @t851 1)) % 242.88/243.33 (define @t856 () (>= @t702 @t846)) % 242.88/243.33 (define @t857 () (<= @t702 @t848)) % 242.88/243.33 (define @t858 () (>= @t843 0)) % 242.88/243.33 (define @t859 () (>= @t179 @t702)) % 242.88/243.33 (define @t860 () (ite @t183 (> @t702 @t179) (> @t702 @t848))) % 242.88/243.33 (define @t861 () (>= @t702 0)) % 242.88/243.33 (define @t862 () (ite @t861 @t860 @t854)) % 242.88/243.33 (define @t863 () (- 1)) % 242.88/243.33 (define @t864 () (- @t701)) % 242.88/243.33 (define @t865 () (<= @t864 @t863)) % 242.88/243.33 (define @t866 () (<= @t864 1)) % 242.88/243.33 (define @t867 () (>= 1 0)) % 242.88/243.33 (define @t868 () (ite @t867 (> @t864 1) (> @t864 @t863))) % 242.88/243.33 (define @t869 () (<= @t701 @t863)) % 242.88/243.33 (define @t870 () (+ 1 1)) % 242.88/243.33 (define @t871 () (>= @t701 @t870)) % 242.88/243.33 (define @t872 () (ite @t867 (> @t701 1) (> @t701 @t863))) % 242.88/243.33 (define @t873 () (ite @t762 @t872 @t868)) % 242.88/243.33 (define @t874 () (and @t873 @t838 @t743)) % 242.88/243.33 (define @t875 () (abs @t702)) % 242.88/243.33 (define @t876 () (* -1 @t875)) % 242.88/243.33 (define @t877 () (abs @t179)) % 242.88/243.33 (define @t878 () (+ @t877 @t876)) % 242.88/243.33 (define @t879 () (>= @t877 @t875)) % 242.88/243.33 (define @t880 () (* 1 @t179)) % 242.88/243.33 (define @t881 () (abs @t880)) % 242.88/243.33 (define @t882 () (<= @t875 @t881)) % 242.88/243.33 (define @t883 () (not @t858)) % 242.88/243.33 (define @t884 () (ite @t183 @t883 @t855)) % 242.88/243.33 (define @t885 () (ite @t861 @t884 (ite @t183 (not @t852) @t844))) % 242.88/243.33 (define @t886 () (and @t184 @t838 @t743)) % 242.88/243.33 (define @t887 () (+ @t701 @t788)) % 242.88/243.33 (define @t888 () (>= @t887 1)) % 242.88/243.33 (define @t889 () (+ @t755 1)) % 242.88/243.33 (define @t890 () (>= @t788 @t889)) % 242.88/243.33 (define @t891 () (<= @t849 @t864)) % 242.88/243.33 (define @t892 () (>= @t784 0)) % 242.88/243.33 (define @t893 () (<= @t849 @t701)) % 242.88/243.33 (define @t894 () (ite @t762 (> @t849 @t701) (> @t849 @t864))) % 242.88/243.33 (define @t895 () (>= @t702 @t889)) % 242.88/243.33 (define @t896 () (<= @t702 @t864)) % 242.88/243.33 (define @t897 () (>= @t887 0)) % 242.88/243.33 (define @t898 () (>= @t701 @t702)) % 242.88/243.33 (define @t899 () (ite @t762 (> @t702 @t701) (> @t702 @t864))) % 242.88/243.33 (define @t900 () (ite @t861 @t899 @t894)) % 242.88/243.33 (define @t901 () (<= @t848 @t863)) % 242.88/243.33 (define @t902 () (<= @t848 1)) % 242.88/243.33 (define @t903 () (ite @t867 (> @t848 1) (> @t848 @t863))) % 242.88/243.33 (define @t904 () (>= @t179 @t776)) % 242.88/243.33 (define @t905 () (<= @t179 @t863)) % 242.88/243.33 (define @t906 () (>= @t179 @t870)) % 242.88/243.33 (define @t907 () (ite @t867 (> @t179 1) (> @t179 @t863))) % 242.88/243.33 (define @t908 () (ite @t183 @t907 @t903)) % 242.88/243.33 (define @t909 () (and @t908 @t838 @t743)) % 242.88/243.33 (define @t910 () (abs @t701)) % 242.88/243.33 (define @t911 () (+ @t910 @t876)) % 242.88/243.33 (define @t912 () (>= @t910 @t875)) % 242.88/243.33 (define @t913 () (* 1 @t701)) % 242.88/243.33 (define @t914 () (abs @t913)) % 242.88/243.33 (define @t915 () (* @t179 @t701)) % 242.88/243.33 (define @t916 () (abs @t915)) % 242.88/243.33 (define @t917 () (<= @t916 @t914)) % 242.88/243.33 (define @t918 () (not @t892)) % 242.88/243.33 (define @t919 () (ite @t762 @t918 @t888)) % 242.88/243.33 (define @t920 () (not @t897)) % 242.88/243.33 (define @t921 () (ite @t762 @t920 @t785)) % 242.88/243.33 (define @t922 () (ite @t861 @t921 @t919)) % 242.88/243.33 (define @t923 () (< @t784 0)) % 242.88/243.33 (define @t924 () (>= @t807 @t801)) % 242.88/243.33 (define @t925 () (not @t919)) % 242.88/243.33 (define @t926 () (not @t922)) % 242.88/243.33 (define @t927 () (@list @t919 @t922)) % 242.88/243.33 (define @t928 () (+ tptp.n_i @t755)) % 242.88/243.33 (define @t929 () (>= @t928 0)) % 242.88/243.33 (define @t930 () (not @t929)) % 242.88/243.33 (define @t931 () (+ 0 -1 @t769 @t769)) % 242.88/243.33 (define @t932 () (* 0 tptp.n_i)) % 242.88/243.33 (define @t933 () (= @t932 0)) % 242.88/243.33 (define @t934 () (+ @t755 @t804 @t701 @t647 @t648 @t932)) % 242.88/243.33 (define @t935 () (* -1 @t649)) % 242.88/243.33 (define @t936 () (* -1 @t790)) % 242.88/243.33 (define @t937 () (+ @t928 @t887 @t936 @t935)) % 242.88/243.33 (define @t938 () (>= @t937 @t931)) % 242.88/243.33 (define @t939 () (+ tptp.n_i @t845)) % 242.88/243.33 (define @t940 () (>= @t939 0)) % 242.88/243.33 (define @t941 () (not @t940)) % 242.88/243.33 (define @t942 () (or @t705 @t824 @t930 @t186 @t941)) % 242.88/243.33 (define @t943 () (not (= @t706 @t706))) % 242.88/243.33 (define @t944 () (not (= @t710 @t710))) % 242.88/243.33 (define @t945 () (or @t716 @t944 @t824 @t930 @t943 @t186 @t941)) % 242.88/243.33 (define @t946 () (+ 0 @t769 @t769 -1)) % 242.88/243.33 (define @t947 () (+ @t845 @t804 @t179 @t647 @t648 @t932)) % 242.88/243.33 (define @t948 () (+ @t939 @t935 @t936 @t843)) % 242.88/243.33 (define @t949 () (>= @t948 @t946)) % 242.88/243.33 (define @t950 () (+ @t845 @t179)) % 242.88/243.33 (define @t951 () (>= @t950 @t770)) % 242.88/243.33 (define @t952 () (= @t708 @t721)) % 242.88/243.33 (define @t953 () (not @t952)) % 242.88/243.33 (define @t954 () (+ 1 @t845)) % 242.88/243.33 (define @t955 () (+ @t179 1)) % 242.88/243.33 (define @t956 () (>= @t954 1)) % 242.88/243.33 (define @t957 () (not @t956)) % 242.88/243.33 (define @t958 () (= @t957 @t708)) % 242.88/243.33 (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2))))) % 242.88/243.33 (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7)))))) % 242.88/243.33 (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__)))) % 242.88/243.33 (assume @p4 @t14) % 242.88/243.33 (assume @p5 (forall (@list @t16 @t15) (= (= (tptp.f__symbolic__ @t16) (tptp.f__symbolic__ @t15)) (= @t16 @t15)))) % 242.88/243.33 (assume @p6 @t19) % 242.88/243.33 (assume @p7 @t26) % 242.88/243.33 (assume @p8 (forall (@list @t8 @t20 @t27) (=> (and @t23 (tptp.p__less_equal__ @t20 @t27)) (tptp.p__less_equal__ @t8 @t27)))) % 242.88/243.33 (assume @p9 @t29) % 242.88/243.33 (assume @p10 (forall @t25 (= (tptp.p__less__ @t8 @t20) (and @t23 @t30)))) % 242.88/243.33 (assume @p11 @t32) % 242.88/243.33 (assume @p12 @t36) % 242.88/243.33 (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2))) % 242.88/243.33 (assume @p14 (forall (@list @t1 @t37) (tptp.p__less__ @t2 @t38))) % 242.88/243.33 (assume @p15 (forall (@list @t37) (tptp.p__less__ @t38 tptp.c__supremum__))) % 242.88/243.33 (assume @p16 @t70) % 242.88/243.33 (assume @p17 @t89) % 242.88/243.33 (assume @p18 @t101) % 242.88/243.33 (assume @p19 @t110) % 242.88/243.33 (assume @p20 true) % 242.88/243.33 (step @p21 :rule beta-reduce :args ((= @t115 @t111))) % 242.88/243.33 (step @p22 :rule refl :args (@t118)) % 242.88/243.33 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t118 @t115))) % 242.88/243.33 (step @p24 :rule eq-symm :args (@t115 @t118)) % 242.88/243.33 (step @p25 :rule trans :premises (@p24 @p23)) % 242.88/243.33 (step @p26 :rule cong :premises (@p25) :args ((forall @t13 (= @t115 @t118)))) % 242.88/243.33 (step @p27 :rule refl :args (@t11)) % 242.88/243.33 (step @p28 :rule refl :args (@t12)) % 242.88/243.33 ; WARNING: add trust step for TRUST % 242.88/243.33 ; trust TRUST SUBS_EQ % 242.88/243.33 (step @p29 :rule trust :premises () :args ((= (forall @t25 (= @t22 @t31)) (= tptp.p__less_equal__ @t114)))) % 242.88/243.33 (step @p30 :rule eq-symm :args (@t31 @t22)) % 242.88/243.33 (step @p31 :rule cong :premises (@p30) :args (@t32)) % 242.88/243.33 (step @p32 :rule eq_resolve :premises (@p11 @p31)) % 242.88/243.33 (step @p33 :rule eq_resolve :premises (@p32 @p29)) % 242.88/243.33 (step @p34 :rule ho_cong :premises (@p33 @p28 @p27)) % 242.88/243.33 (step @p35 :rule cong :premises (@p34 @p22) :args (@t119)) % 242.88/243.33 (step @p36 :rule cong :premises (@p35) :args ((forall @t13 @t119))) % 242.88/243.33 (step @p37 :rule trans :premises (@p36 @p26)) % 242.88/243.33 (step @p38 :rule arith_poly_norm :args ((= (* -1 (- @t10 @t120)) (* -1 (- @t116 1))))) % 242.88/243.33 (step @p39 :rule arith_poly_norm_rel :premises (@p38) :args ((= @t121 @t117))) % 242.88/243.33 (step @p40 :rule cong :premises (@p39) :args ((not @t121))) % 242.88/243.33 (step @p41 :rule arith-leq-norm :args (@t10 @t9)) % 242.88/243.33 (step @p42 :rule trans :premises (@p41 @p40)) % 242.88/243.33 (step @p43 :rule refl :args (@t17)) % 242.88/243.33 (step @p44 :rule cong :premises (@p43 @p42) :args (@t18)) % 242.88/243.33 (step @p45 :rule cong :premises (@p44) :args (@t19)) % 242.88/243.33 (step @p46 :rule trans :premises (@p45 @p37)) % 242.88/243.33 (step @p47 :rule eq_resolve :premises (@p6 @p46)) % 242.88/243.33 (step @p48 :rule cnf_ite_neg1 :args (@t184)) % 242.88/243.33 (step @p49 :rule reordering :premises (@p48) :args ((or @t186 @t185 @t184))) % 242.88/243.33 (step @p50 :rule cnf_and_pos :args (@t189 1)) % 242.88/243.33 (step @p51 :rule reordering :premises (@p50) :args ((or @t188 @t190))) % 242.88/243.33 (step @p52 :rule alpha_equiv :args (@t187 @t191 @t192)) % 242.88/243.33 (step @p53 :rule equiv_elim1 :premises (@p52)) % 242.88/243.33 (step @p54 :rule eq-symm :args (@t150 @t175)) % 242.88/243.33 (step @p55 :rule beta-reduce :args ((= @t195 @t175))) % 242.88/243.33 (step @p56 :rule refl :args (@t130)) % 242.88/243.33 (step @p57 :rule bool-double-not-elim :args (@t149)) % 242.88/243.33 (step @p58 :rule beta-reduce :args ((= @t199 @t196))) % 242.88/243.33 (step @p59 :rule cong :premises (@p58) :args (@t200)) % 242.88/243.33 (step @p60 :rule trans :premises (@p59 @p57)) % 242.88/243.33 (step @p61 :rule nary_cong :premises (@p60 @p56) :args (@t201)) % 242.88/243.33 (step @p62 :rule cong :premises (@p61 @p55) :args ((= @t201 @t195))) % 242.88/243.33 (step @p63 :rule trans :premises (@p62 @p54)) % 242.88/243.33 (step @p64 :rule eq-symm :args (@t195 @t201)) % 242.88/243.33 (step @p65 :rule trans :premises (@p64 @p63)) % 242.88/243.33 (step @p66 :rule cong :premises (@p65) :args (@t202)) % 242.88/243.33 (step @p67 :rule cong :premises (@p66) :args ((not @t202))) % 242.88/243.33 (step @p68 :rule refl :args (@t59)) % 242.88/243.33 ; trust TRUST SUBS_EQ % 242.88/243.33 (step @p69 :rule trust :premises () :args ((= (forall @t69 (= @t87 @t196)) (= tptp.composite_p @t198)))) % 242.88/243.33 (step @p70 :rule aci_norm :args ((= (or @t146 false @t144 @t140 @t139 @t137 @t133 @t132) @t147))) % 242.88/243.33 (step @p71 :rule refl :args (@t132)) % 242.88/243.33 (step @p72 :rule refl :args (@t133)) % 242.88/243.33 (step @p73 :rule refl :args (@t137)) % 242.88/243.33 (step @p74 :rule refl :args (@t139)) % 242.88/243.33 (step @p75 :rule refl :args (@t140)) % 242.88/243.33 (step @p76 :rule refl :args (@t144)) % 242.88/243.33 (step @p77 :rule evaluate :args ((not true))) % 242.88/243.33 (step @p78 :rule eq-refl :args (@t136)) % 242.88/243.33 (step @p79 :rule cong :premises (@p78) :args (@t203)) % 242.88/243.33 (step @p80 :rule trans :premises (@p79 @p77)) % 242.88/243.33 (step @p81 :rule refl :args (@t146)) % 242.88/243.33 (step @p82 :rule nary_cong :premises (@p81 @p80 @p76 @p75 @p74 @p73 @p72 @p71) :args (@t204)) % 242.88/243.33 (step @p83 :rule trans :premises (@p82 @p70)) % 242.88/243.33 (step @p84 :rule cong :premises (@p83) :args ((forall @t148 @t204))) % 242.88/243.33 (step @p85 :rule quant-var-elim-eq :args ((= (forall @t208 @t207) @t204))) % 242.88/243.33 (step @p86 :rule aci_norm :args ((= @t209 @t207))) % 242.88/243.33 (step @p87 :rule cong :premises (@p86) :args (@t210)) % 242.88/243.33 (step @p88 :rule trans :premises (@p87 @p85)) % 242.88/243.33 (step @p89 :rule cong :premises (@p88) :args (@t211)) % 242.88/243.33 (step @p90 :rule quant-merge-prenex :args ((= @t211 @t212))) % 242.88/243.33 (step @p91 :rule symm :premises (@p90)) % 242.88/243.33 (step @p92 :rule quant_var_reordering :args ((= (forall @t213 @t209) @t212))) % 242.88/243.33 (step @p93 :rule trans :premises (@p92 @p91 @p89)) % 242.88/243.33 (step @p94 :rule trans :premises (@p93 @p84)) % 242.88/243.33 (step @p95 :rule aci_norm :args ((= (or @t146 false @t206 @t144 @t140 @t139 @t205 @t133 @t132) @t209))) % 242.88/243.33 (step @p96 :rule refl :args (@t205)) % 242.88/243.33 (step @p97 :rule refl :args (@t206)) % 242.88/243.33 (step @p98 :rule eq-refl :args (@t143)) % 242.88/243.33 (step @p99 :rule cong :premises (@p98) :args (@t214)) % 242.88/243.33 (step @p100 :rule trans :premises (@p99 @p77)) % 242.88/243.33 (step @p101 :rule nary_cong :premises (@p81 @p100 @p97 @p76 @p75 @p74 @p96 @p72 @p71) :args (@t215)) % 242.88/243.33 (step @p102 :rule trans :premises (@p101 @p95)) % 242.88/243.33 (step @p103 :rule cong :premises (@p102) :args ((forall @t213 @t215))) % 242.88/243.33 (step @p104 :rule trans :premises (@p103 @p94)) % 242.88/243.33 (step @p105 :rule quant-var-elim-eq :args ((= (forall @t97 @t218) @t215))) % 242.88/243.33 (step @p106 :rule aci_norm :args ((= @t219 @t218))) % 242.88/243.33 (step @p107 :rule cong :premises (@p106) :args (@t220)) % 242.88/243.33 (step @p108 :rule trans :premises (@p107 @p105)) % 242.88/243.33 (step @p109 :rule cong :premises (@p108) :args (@t221)) % 242.88/243.33 (step @p110 :rule quant-merge-prenex :args ((= @t221 @t222))) % 242.88/243.33 (step @p111 :rule symm :premises (@p110)) % 242.88/243.33 (step @p112 :rule quant_var_reordering :args ((= (forall @t223 @t219) @t222))) % 242.88/243.33 (step @p113 :rule trans :premises (@p112 @p111 @p109)) % 242.88/243.33 (step @p114 :rule trans :premises (@p113 @p104)) % 242.88/243.33 (step @p115 :rule aci_norm :args ((= @t227 @t219))) % 242.88/243.33 (step @p116 :rule cong :premises (@p115) :args (@t228)) % 242.88/243.33 (step @p117 :rule trans :premises (@p116 @p114)) % 242.88/243.33 (step @p118 :rule quant-merge-prenex :args ((= (forall @t65 @t229) @t228))) % 242.88/243.33 (step @p119 :rule alpha_equiv :args (@t230 (@list @t131) @t232)) % 242.88/243.33 (step @p120 :rule alpha_equiv :args (@t233 (@list @t138) @t235)) % 242.88/243.33 (step @p121 :rule alpha_equiv :args (@t236 (@list @t142 @t135) @t237)) % 242.88/243.33 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t238)) % 242.88/243.33 (step @p123 :rule quant-miniscope-or :args ((= @t229 @t238))) % 242.88/243.33 (step @p124 :rule trans :premises (@p123 @p122)) % 242.88/243.33 (step @p125 :rule symm :premises (@p124)) % 242.88/243.33 (step @p126 :rule cong :premises (@p125) :args ((forall @t65 (or @t261 @t252 @t245)))) % 242.88/243.33 (step @p127 :rule trans :premises (@p126 @p118)) % 242.88/243.33 (step @p128 :rule trans :premises (@p127 @p117)) % 242.88/243.33 (step @p129 :rule bool-double-not-elim :args (@t245)) % 242.88/243.33 (step @p130 :rule bool-double-not-elim :args (@t252)) % 242.88/243.33 (step @p131 :rule bool-double-not-elim :args (@t261)) % 242.88/243.33 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129) :args (@t268)) % 242.88/243.33 (step @p133 :rule aci_norm :args ((= (or @t267 (or @t265 @t263)) @t268))) % 242.88/243.33 (step @p134 :rule trans :premises (@p133 @p132)) % 242.88/243.33 (step @p135 :rule bool-and-de-morgan :args (@t264 @t262 true)) % 242.88/243.33 (step @p136 :rule refl :args (@t267)) % 242.88/243.33 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or @t267 (not (and @t264 @t262))))) % 242.88/243.33 (step @p138 :rule bool-and-de-morgan :args (@t266 @t264 (and @t262))) % 242.88/243.33 (step @p139 :rule trans :premises (@p138 @p137)) % 242.88/243.33 (step @p140 :rule trans :premises (@p139 @p134)) % 242.88/243.33 (step @p141 :rule cong :premises (@p140) :args (@t270)) % 242.88/243.33 (step @p142 :rule trans :premises (@p141 @p128)) % 242.88/243.33 (step @p143 :rule cong :premises (@p142) :args (@t271)) % 242.88/243.33 (step @p144 :rule exists-elim :args ((= (exists @t65 @t269) @t271))) % 242.88/243.33 (step @p145 :rule trans :premises (@p144 @p143)) % 242.88/243.33 (step @p146 :rule aci_norm :args ((= (or false @t242 @t240 @t239) @t243))) % 242.88/243.33 (step @p147 :rule refl :args (@t239)) % 242.88/243.33 (step @p148 :rule refl :args (@t240)) % 242.88/243.33 (step @p149 :rule refl :args (@t242)) % 242.88/243.33 (step @p150 :rule eq-refl :args (@t44)) % 242.88/243.33 (step @p151 :rule cong :premises (@p150) :args (@t272)) % 242.88/243.33 (step @p152 :rule trans :premises (@p151 @p77)) % 242.88/243.33 (step @p153 :rule nary_cong :premises (@p152 @p149 @p148 @p147) :args (@t273)) % 242.88/243.33 (step @p154 :rule trans :premises (@p153 @p146)) % 242.88/243.33 (step @p155 :rule cong :premises (@p154) :args ((forall @t244 @t273))) % 242.88/243.33 (step @p156 :rule quant-var-elim-eq :args ((= (forall @t276 (or (not (= @t39 @t44)) @t275 @t274 @t240 @t239)) @t273))) % 242.88/243.33 (step @p157 :rule refl :args (@t239)) % 242.88/243.33 (step @p158 :rule refl :args (@t240)) % 242.88/243.33 (step @p159 :rule refl :args (@t274)) % 242.88/243.33 (step @p160 :rule refl :args (@t275)) % 242.88/243.33 (step @p161 :rule eq-symm :args (@t44 @t39)) % 242.88/243.33 (step @p162 :rule cong :premises (@p161) :args (@t275)) % 242.88/243.33 (step @p163 :rule nary_cong :premises (@p162 @p160 @p159 @p158 @p157) :args (@t277)) % 242.88/243.33 (step @p164 :rule aci_norm :args ((= @t278 @t277))) % 242.88/243.33 (step @p165 :rule trans :premises (@p164 @p163)) % 242.88/243.33 (step @p166 :rule cong :premises (@p165) :args (@t279)) % 242.88/243.33 (step @p167 :rule trans :premises (@p166 @p156)) % 242.88/243.33 (step @p168 :rule cong :premises (@p167) :args (@t280)) % 242.88/243.33 (step @p169 :rule quant-merge-prenex :args ((= @t280 @t281))) % 242.88/243.33 (step @p170 :rule symm :premises (@p169)) % 242.88/243.33 (step @p171 :rule quant_var_reordering :args ((= (forall @t282 @t278) @t281))) % 242.88/243.33 (step @p172 :rule trans :premises (@p171 @p170 @p168)) % 242.88/243.33 (step @p173 :rule trans :premises (@p172 @p155)) % 242.88/243.33 (step @p174 :rule aci_norm :args ((= (or false @t275 @t274 @t240 @t239) @t278))) % 242.88/243.33 (step @p175 :rule refl :args (@t274)) % 242.88/243.33 (step @p176 :rule refl :args (@t275)) % 242.88/243.33 (step @p177 :rule nary_cong :premises (@p152 @p176 @p175 @p148 @p147) :args (@t283)) % 242.88/243.33 (step @p178 :rule trans :premises (@p177 @p174)) % 242.88/243.33 (step @p179 :rule cong :premises (@p178) :args ((forall @t282 @t283))) % 242.88/243.33 (step @p180 :rule trans :premises (@p179 @p173)) % 242.88/243.33 (step @p181 :rule quant-var-elim-eq :args ((= (forall @t93 (or @t287 @t286 @t284 @t274 @t240 @t239)) @t283))) % 242.88/243.33 (step @p182 :rule refl :args (@t284)) % 242.88/243.33 (step @p183 :rule refl :args (@t286)) % 242.88/243.33 (step @p184 :rule eq-symm :args (@t44 @t40)) % 242.88/243.33 (step @p185 :rule cong :premises (@p184) :args (@t286)) % 242.88/243.33 (step @p186 :rule nary_cong :premises (@p185 @p183 @p182 @p159 @p158 @p157) :args (@t288)) % 242.88/243.33 (step @p187 :rule aci_norm :args ((= @t289 @t288))) % 242.88/243.33 (step @p188 :rule trans :premises (@p187 @p186)) % 242.88/243.33 (step @p189 :rule cong :premises (@p188) :args (@t290)) % 242.88/243.33 (step @p190 :rule trans :premises (@p189 @p181)) % 242.88/243.33 (step @p191 :rule cong :premises (@p190) :args (@t291)) % 242.88/243.33 (step @p192 :rule quant-merge-prenex :args ((= @t291 @t292))) % 242.88/243.33 (step @p193 :rule symm :premises (@p192)) % 242.88/243.33 (step @p194 :rule quant_var_reordering :args ((= (forall @t293 @t289) @t292))) % 242.88/243.33 (step @p195 :rule trans :premises (@p194 @p193 @p191)) % 242.88/243.33 (step @p196 :rule trans :premises (@p195 @p180)) % 242.88/243.33 (step @p197 :rule aci_norm :args ((= @t295 @t289))) % 242.88/243.33 (step @p198 :rule cong :premises (@p197) :args (@t296)) % 242.88/243.33 (step @p199 :rule trans :premises (@p198 @p196)) % 242.88/243.33 (step @p200 :rule quant-merge-prenex :args ((= (forall @t47 @t297) @t296))) % 242.88/243.33 (step @p201 :rule alpha_equiv :args (@t298 @t232 @t299)) % 242.88/243.33 (step @p202 :rule nary_cong :premises (@p183 @p201 @p182) :args (@t300)) % 242.88/243.33 (step @p203 :rule quant-miniscope-or :args ((= @t297 @t300))) % 242.88/243.33 (step @p204 :rule trans :premises (@p203 @p202)) % 242.88/243.33 (step @p205 :rule symm :premises (@p204)) % 242.88/243.33 (step @p206 :rule cong :premises (@p205) :args ((forall @t47 (or @t286 @t307 @t284)))) % 242.88/243.33 (step @p207 :rule trans :premises (@p206 @p200)) % 242.88/243.33 (step @p208 :rule trans :premises (@p207 @p199)) % 242.88/243.33 (step @p209 :rule bool-double-not-elim :args (@t307)) % 242.88/243.33 (step @p210 :rule nary_cong :premises (@p183 @p209 @p182) :args (@t310)) % 242.88/243.33 (step @p211 :rule aci_norm :args ((= (or @t286 @t311) @t310))) % 242.88/243.33 (step @p212 :rule trans :premises (@p211 @p210)) % 242.88/243.33 (step @p213 :rule bool-and-de-morgan :args (@t308 @t71 true)) % 242.88/243.33 (step @p214 :rule nary_cong :premises (@p183 @p213) :args ((or @t286 @t312))) % 242.88/243.33 (step @p215 :rule bool-and-de-morgan :args (@t285 @t308 (and @t71))) % 242.88/243.33 (step @p216 :rule trans :premises (@p215 @p214)) % 242.88/243.33 (step @p217 :rule trans :premises (@p216 @p212)) % 242.88/243.33 (step @p218 :rule cong :premises (@p217) :args (@t314)) % 242.88/243.33 (step @p219 :rule trans :premises (@p218 @p208)) % 242.88/243.33 (step @p220 :rule cong :premises (@p219) :args (@t315)) % 242.88/243.33 (step @p221 :rule exists-elim :args ((= (exists @t47 @t313) @t315))) % 242.88/243.33 (step @p222 :rule trans :premises (@p221 @p220)) % 242.88/243.33 (step @p223 :rule refl :args (@t71)) % 242.88/243.33 (step @p224 :rule aci_norm :args ((= (or false @t304 @t303 @t302) @t305))) % 242.88/243.33 (step @p225 :rule refl :args (@t302)) % 242.88/243.33 (step @p226 :rule refl :args (@t303)) % 242.88/243.33 (step @p227 :rule refl :args (@t304)) % 242.88/243.33 (step @p228 :rule eq-refl :args (tptp.n_i)) % 242.88/243.33 (step @p229 :rule cong :premises (@p228) :args (@t316)) % 242.88/243.33 (step @p230 :rule trans :premises (@p229 @p77)) % 242.88/243.33 (step @p231 :rule nary_cong :premises (@p230 @p227 @p226 @p225) :args (@t317)) % 242.88/243.33 (step @p232 :rule trans :premises (@p231 @p224)) % 242.88/243.33 (step @p233 :rule cong :premises (@p232) :args ((forall @t306 @t317))) % 242.88/243.33 (step @p234 :rule quant-var-elim-eq :args ((= (forall @t323 (or (not @t76) @t322 @t304 @t303 @t320)) @t317))) % 242.88/243.33 (step @p235 :rule refl :args (@t320)) % 242.88/243.33 (step @p236 :rule refl :args (@t303)) % 242.88/243.33 (step @p237 :rule refl :args (@t304)) % 242.88/243.33 (step @p238 :rule refl :args (@t322)) % 242.88/243.33 (step @p239 :rule arith_poly_norm :args ((= @t325 @t324))) % 242.88/243.33 (step @p240 :rule arith_poly_norm_rel :premises (@p239) :args ((= @t321 @t76))) % 242.88/243.33 (step @p241 :rule cong :premises (@p240) :args (@t322)) % 242.88/243.33 (step @p242 :rule nary_cong :premises (@p241 @p238 @p237 @p236 @p235) :args (@t326)) % 242.88/243.33 (step @p243 :rule aci_norm :args ((= @t327 @t326))) % 242.88/243.33 (step @p244 :rule trans :premises (@p243 @p242)) % 242.88/243.33 (step @p245 :rule cong :premises (@p244) :args (@t328)) % 242.88/243.33 (step @p246 :rule trans :premises (@p245 @p234)) % 242.88/243.33 (step @p247 :rule cong :premises (@p246) :args (@t329)) % 242.88/243.33 (step @p248 :rule quant-merge-prenex :args ((= @t329 @t330))) % 242.88/243.33 (step @p249 :rule symm :premises (@p248)) % 242.88/243.33 (step @p250 :rule quant_var_reordering :args ((= (forall @t331 @t327) @t330))) % 242.88/243.33 (step @p251 :rule trans :premises (@p250 @p249 @p247)) % 242.88/243.33 (step @p252 :rule trans :premises (@p251 @p233)) % 242.88/243.33 (step @p253 :rule aci_norm :args ((= (or false @t322 @t304 @t303 @t320) @t327))) % 242.88/243.33 (step @p254 :rule refl :args (@t320)) % 242.88/243.33 (step @p255 :rule arith_poly_norm :args ((= (* 1 (- 2 @t333)) (* 1 (- @t332 1))))) % 242.88/243.33 (step @p256 :rule arith_poly_norm_rel :premises (@p255) :args ((= (>= 2 @t333) @t334))) % 242.88/243.33 (step @p257 :rule arith-geq-tighten :args (@t73 2)) % 242.88/243.33 (step @p258 :rule trans :premises (@p257 @p256)) % 242.88/243.33 (step @p259 :rule symm :premises (@p258)) % 242.88/243.33 (step @p260 :rule refl :args (@t322)) % 242.88/243.33 (step @p261 :rule evaluate :args (@t335)) % 242.88/243.33 (step @p262 :rule cong :premises (@p261) :args (@t336)) % 242.88/243.33 (step @p263 :rule trans :premises (@p262 @p77)) % 242.88/243.33 (step @p264 :rule nary_cong :premises (@p263 @p260 @p227 @p259 @p254) :args (@t337)) % 242.88/243.33 (step @p265 :rule trans :premises (@p264 @p253)) % 242.88/243.33 (step @p266 :rule cong :premises (@p265) :args ((forall @t331 @t337))) % 242.88/243.33 (step @p267 :rule trans :premises (@p266 @p252)) % 242.88/243.33 (step @p268 :rule quant-var-elim-eq :args ((= (forall @t342 @t341) @t337))) % 242.88/243.33 (step @p269 :rule aci_norm :args ((= @t343 @t341))) % 242.88/243.33 (step @p270 :rule cong :premises (@p269) :args (@t344)) % 242.88/243.33 (step @p271 :rule trans :premises (@p270 @p268)) % 242.88/243.33 (step @p272 :rule cong :premises (@p271) :args (@t345)) % 242.88/243.33 (step @p273 :rule quant-merge-prenex :args ((= @t345 @t346))) % 242.88/243.33 (step @p274 :rule symm :premises (@p273)) % 242.88/243.33 (step @p275 :rule quant_var_reordering :args ((= (forall @t79 @t343) @t346))) % 242.88/243.33 (step @p276 :rule trans :premises (@p275 @p274 @p272)) % 242.88/243.33 (step @p277 :rule trans :premises (@p276 @p267)) % 242.88/243.33 (step @p278 :rule bool-double-not-elim :args (@t339)) % 242.88/243.33 (step @p279 :rule refl :args (@t340)) % 242.88/243.33 (step @p280 :rule nary_cong :premises (@p279 @p238 @p237 @p278 @p235) :args (@t349)) % 242.88/243.33 (step @p281 :rule aci_norm :args ((= (or @t340 (or @t322 (or @t304 (or @t348 @t320)))) @t349))) % 242.88/243.33 (step @p282 :rule trans :premises (@p281 @p280)) % 242.88/243.33 (step @p283 :rule bool-and-de-morgan :args (@t347 @t319 true)) % 242.88/243.33 (step @p284 :rule nary_cong :premises (@p237 @p283) :args ((or @t304 (not (and @t347 @t319))))) % 242.88/243.33 (step @p285 :rule bool-and-de-morgan :args (@t75 @t347 (and @t319))) % 242.88/243.33 (step @p286 :rule trans :premises (@p285 @p284)) % 242.88/243.33 (step @p287 :rule nary_cong :premises (@p238 @p286) :args ((or @t322 (not (and @t75 @t347 @t319))))) % 242.88/243.33 (step @p288 :rule bool-and-de-morgan :args (@t321 @t75 (and @t347 @t319))) % 242.88/243.33 (step @p289 :rule trans :premises (@p288 @p287)) % 242.88/243.33 (step @p290 :rule nary_cong :premises (@p279 @p289) :args ((or @t340 (not (and @t321 @t75 @t347 @t319))))) % 242.88/243.33 (step @p291 :rule bool-and-de-morgan :args (@t77 @t321 (and @t75 @t347 @t319))) % 242.88/243.33 (step @p292 :rule trans :premises (@p291 @p290)) % 242.88/243.33 (step @p293 :rule trans :premises (@p292 @p282)) % 242.88/243.33 (step @p294 :rule cong :premises (@p293) :args (@t351)) % 242.88/243.33 (step @p295 :rule trans :premises (@p294 @p277)) % 242.88/243.33 (step @p296 :rule cong :premises (@p295) :args (@t352)) % 242.88/243.33 (step @p297 :rule exists-elim :args ((= (exists @t79 @t350) @t352))) % 242.88/243.33 (step @p298 :rule trans :premises (@p297 @p296)) % 242.88/243.33 (step @p299 :rule arith_poly_norm :args ((= (* 1 (- @t72 @t73)) (* 1 (- @t318 0))))) % 242.88/243.33 (step @p300 :rule arith_poly_norm_rel :premises (@p299) :args ((= (>= @t72 @t73) @t319))) % 242.88/243.33 (step @p301 :rule arith-elim-leq :args (@t73 @t72)) % 242.88/243.33 (step @p302 :rule trans :premises (@p301 @p300)) % 242.88/243.33 (step @p303 :rule arith_poly_norm :args ((= (* -1 (- @t74 @t333)) (* -1 (- @t338 1))))) % 242.88/243.33 (step @p304 :rule arith_poly_norm_rel :premises (@p303) :args ((= @t353 @t339))) % 242.88/243.33 (step @p305 :rule cong :premises (@p304) :args ((not @t353))) % 242.88/243.33 (step @p306 :rule arith-leq-norm :args (@t74 @t73)) % 242.88/243.33 (step @p307 :rule trans :premises (@p306 @p305)) % 242.88/243.33 (step @p308 :rule refl :args (@t75)) % 242.88/243.33 (step @p309 :rule arith_poly_norm :args ((= @t324 @t325))) % 242.88/243.33 (step @p310 :rule arith_poly_norm_rel :premises (@p309) :args ((= @t76 @t321))) % 242.88/243.33 (step @p311 :rule refl :args (@t77)) % 242.88/243.33 (step @p312 :rule nary_cong :premises (@p311 @p310 @p308 @p307 @p302) :args (@t78)) % 242.88/243.33 (step @p313 :rule cong :premises (@p312) :args (@t80)) % 242.88/243.33 (step @p314 :rule trans :premises (@p313 @p298)) % 242.88/243.33 (step @p315 :rule eq-symm :args (@t40 @t44)) % 242.88/243.33 (step @p316 :rule nary_cong :premises (@p315 @p314 @p223) :args (@t81)) % 242.88/243.33 (step @p317 :rule cong :premises (@p316) :args (@t82)) % 242.88/243.33 (step @p318 :rule trans :premises (@p317 @p222)) % 242.88/243.33 (step @p319 :rule aci_norm :args ((= (or false @t249 @t247 @t246) @t250))) % 242.88/243.33 (step @p320 :rule refl :args (@t246)) % 242.88/243.33 (step @p321 :rule refl :args (@t247)) % 242.88/243.33 (step @p322 :rule refl :args (@t249)) % 242.88/243.33 (step @p323 :rule eq-refl :args (@t49)) % 242.88/243.33 (step @p324 :rule cong :premises (@p323) :args (@t354)) % 242.88/243.33 (step @p325 :rule trans :premises (@p324 @p77)) % 242.88/243.33 (step @p326 :rule nary_cong :premises (@p325 @p322 @p321 @p320) :args (@t355)) % 242.88/243.33 (step @p327 :rule trans :premises (@p326 @p319)) % 242.88/243.33 (step @p328 :rule cong :premises (@p327) :args ((forall @t251 @t355))) % 242.88/243.33 (step @p329 :rule quant-var-elim-eq :args ((= (forall @t276 (or (not (= @t39 @t49)) @t357 @t356 @t247 @t246)) @t355))) % 242.88/243.33 (step @p330 :rule refl :args (@t246)) % 242.88/243.33 (step @p331 :rule refl :args (@t247)) % 242.88/243.33 (step @p332 :rule refl :args (@t356)) % 242.88/243.33 (step @p333 :rule refl :args (@t357)) % 242.88/243.33 (step @p334 :rule eq-symm :args (@t49 @t39)) % 242.88/243.33 (step @p335 :rule cong :premises (@p334) :args (@t357)) % 242.88/243.33 (step @p336 :rule nary_cong :premises (@p335 @p333 @p332 @p331 @p330) :args (@t358)) % 242.88/243.33 (step @p337 :rule aci_norm :args ((= @t359 @t358))) % 242.88/243.33 (step @p338 :rule trans :premises (@p337 @p336)) % 242.88/243.33 (step @p339 :rule cong :premises (@p338) :args (@t360)) % 242.88/243.33 (step @p340 :rule trans :premises (@p339 @p329)) % 242.88/243.33 (step @p341 :rule cong :premises (@p340) :args (@t361)) % 242.88/243.33 (step @p342 :rule quant-merge-prenex :args ((= @t361 @t362))) % 242.88/243.33 (step @p343 :rule symm :premises (@p342)) % 242.88/243.33 (step @p344 :rule quant_var_reordering :args ((= (forall @t363 @t359) @t362))) % 242.88/243.33 (step @p345 :rule trans :premises (@p344 @p343 @p341)) % 242.88/243.33 (step @p346 :rule trans :premises (@p345 @p328)) % 242.88/243.33 (step @p347 :rule aci_norm :args ((= (or false @t357 @t356 @t247 @t246) @t359))) % 242.88/243.33 (step @p348 :rule refl :args (@t356)) % 242.88/243.33 (step @p349 :rule refl :args (@t357)) % 242.88/243.33 (step @p350 :rule nary_cong :premises (@p325 @p349 @p348 @p321 @p320) :args (@t364)) % 242.88/243.33 (step @p351 :rule trans :premises (@p350 @p347)) % 242.88/243.33 (step @p352 :rule cong :premises (@p351) :args ((forall @t363 @t364))) % 242.88/243.33 (step @p353 :rule trans :premises (@p352 @p346)) % 242.88/243.33 (step @p354 :rule quant-var-elim-eq :args ((= (forall @t93 (or @t367 @t366 @t284 @t356 @t247 @t246)) @t364))) % 242.88/243.33 (step @p355 :rule refl :args (@t366)) % 242.88/243.33 (step @p356 :rule eq-symm :args (@t49 @t40)) % 242.88/243.33 (step @p357 :rule cong :premises (@p356) :args (@t366)) % 242.88/243.33 (step @p358 :rule nary_cong :premises (@p357 @p355 @p182 @p332 @p331 @p330) :args (@t368)) % 242.88/243.33 (step @p359 :rule aci_norm :args ((= @t369 @t368))) % 242.88/243.33 (step @p360 :rule trans :premises (@p359 @p358)) % 242.88/243.33 (step @p361 :rule cong :premises (@p360) :args (@t370)) % 242.88/243.33 (step @p362 :rule trans :premises (@p361 @p354)) % 242.88/243.33 (step @p363 :rule cong :premises (@p362) :args (@t371)) % 242.88/243.33 (step @p364 :rule quant-merge-prenex :args ((= @t371 @t372))) % 242.88/243.33 (step @p365 :rule symm :premises (@p364)) % 242.88/243.33 (step @p366 :rule quant_var_reordering :args ((= (forall @t373 @t369) @t372))) % 242.88/243.33 (step @p367 :rule trans :premises (@p366 @p365 @p363)) % 242.88/243.33 (step @p368 :rule trans :premises (@p367 @p353)) % 242.88/243.33 (step @p369 :rule aci_norm :args ((= @t375 @t369))) % 242.88/243.33 (step @p370 :rule cong :premises (@p369) :args (@t376)) % 242.88/243.33 (step @p371 :rule trans :premises (@p370 @p368)) % 242.88/243.33 (step @p372 :rule quant-merge-prenex :args ((= (forall @t47 @t377) @t376))) % 242.88/243.33 (step @p373 :rule alpha_equiv :args (@t378 @t235 @t299)) % 242.88/243.33 (step @p374 :rule nary_cong :premises (@p355 @p373 @p182) :args (@t379)) % 242.88/243.33 (step @p375 :rule quant-miniscope-or :args ((= @t377 @t379))) % 242.88/243.33 (step @p376 :rule trans :premises (@p375 @p374)) % 242.88/243.33 (step @p377 :rule symm :premises (@p376)) % 242.88/243.33 (step @p378 :rule cong :premises (@p377) :args ((forall @t47 (or @t366 @t307 @t284)))) % 242.88/243.33 (step @p379 :rule trans :premises (@p378 @p372)) % 242.88/243.33 (step @p380 :rule trans :premises (@p379 @p371)) % 242.88/243.33 (step @p381 :rule nary_cong :premises (@p355 @p209 @p182) :args (@t380)) % 242.88/243.33 (step @p382 :rule aci_norm :args ((= (or @t366 @t311) @t380))) % 242.88/243.33 (step @p383 :rule trans :premises (@p382 @p381)) % 242.88/243.33 (step @p384 :rule nary_cong :premises (@p355 @p213) :args ((or @t366 @t312))) % 242.88/243.33 (step @p385 :rule bool-and-de-morgan :args (@t365 @t308 (and @t71))) % 242.88/243.33 (step @p386 :rule trans :premises (@p385 @p384)) % 242.88/243.33 (step @p387 :rule trans :premises (@p386 @p383)) % 242.88/243.33 (step @p388 :rule cong :premises (@p387) :args (@t382)) % 242.88/243.33 (step @p389 :rule trans :premises (@p388 @p380)) % 242.88/243.33 (step @p390 :rule cong :premises (@p389) :args (@t383)) % 242.88/243.33 (step @p391 :rule exists-elim :args ((= (exists @t47 @t381) @t383))) % 242.88/243.33 (step @p392 :rule trans :premises (@p391 @p390)) % 242.88/243.33 (step @p393 :rule eq-symm :args (@t40 @t49)) % 242.88/243.33 (step @p394 :rule nary_cong :premises (@p393 @p314 @p223) :args (@t83)) % 242.88/243.33 (step @p395 :rule cong :premises (@p394) :args (@t84)) % 242.88/243.33 (step @p396 :rule trans :premises (@p395 @p392)) % 242.88/243.33 (step @p397 :rule aci_norm :args ((= (or @t259 (or @t256 @t254)) @t260))) % 242.88/243.33 (step @p398 :rule bool-and-de-morgan :args (@t255 @t253 true)) % 242.88/243.33 (step @p399 :rule refl :args (@t259)) % 242.88/243.33 (step @p400 :rule nary_cong :premises (@p399 @p398) :args ((or @t259 (not (and @t255 @t253))))) % 242.88/243.33 (step @p401 :rule bool-and-de-morgan :args (@t258 @t255 (and @t253))) % 242.88/243.33 (step @p402 :rule trans :premises (@p401 @p400)) % 242.88/243.33 (step @p403 :rule trans :premises (@p402 @p397)) % 242.88/243.33 (step @p404 :rule cong :premises (@p403) :args (@t385)) % 242.88/243.33 (step @p405 :rule cong :premises (@p404) :args (@t386)) % 242.88/243.33 (step @p406 :rule exists-elim :args ((= (exists @t62 @t384) @t386))) % 242.88/243.33 (step @p407 :rule trans :premises (@p406 @p405)) % 242.88/243.33 (step @p408 :rule eq-symm :args (@t54 @t44)) % 242.88/243.33 (step @p409 :rule eq-symm :args (@t56 @t49)) % 242.88/243.33 (step @p410 :rule arith_poly_norm :args ((= @t57 @t257))) % 242.88/243.33 (step @p411 :rule cong :premises (@p410) :args (@t58)) % 242.88/243.33 (step @p412 :rule cong :premises (@p68 @p411) :args (@t60)) % 242.88/243.33 (step @p413 :rule nary_cong :premises (@p412 @p409 @p408) :args (@t61)) % 242.88/243.33 (step @p414 :rule cong :premises (@p413) :args (@t63)) % 242.88/243.33 (step @p415 :rule trans :premises (@p414 @p407)) % 242.88/243.33 (step @p416 :rule nary_cong :premises (@p415 @p396 @p318) :args (@t85)) % 242.88/243.33 (step @p417 :rule cong :premises (@p416) :args (@t86)) % 242.88/243.33 (step @p418 :rule trans :premises (@p417 @p145)) % 242.88/243.33 (step @p419 :rule refl :args (@t87)) % 242.88/243.33 (step @p420 :rule cong :premises (@p419 @p418) :args (@t88)) % 242.88/243.33 (step @p421 :rule cong :premises (@p420) :args (@t89)) % 242.88/243.33 (step @p422 :rule eq_resolve :premises (@p17 @p421)) % 242.88/243.33 (step @p423 :rule eq_resolve :premises (@p422 @p69)) % 242.88/243.33 (step @p424 :rule ho_cong :premises (@p423 @p68)) % 242.88/243.33 (step @p425 :rule cong :premises (@p424) :args (@t387)) % 242.88/243.33 (step @p426 :rule nary_cong :premises (@p425 @p56) :args (@t388)) % 242.88/243.33 ; trust TRUST SUBS_EQ % 242.88/243.33 (step @p427 :rule trust :premises () :args ((= (forall @t69 (= @t99 @t175)) (= tptp.prime @t194)))) % 242.88/243.33 (step @p428 :rule refl :args (@t159)) % 242.88/243.33 (step @p429 :rule bool-double-not-elim :args (@t174)) % 242.88/243.33 (step @p430 :rule beta-reduce :args ((= @t392 @t389))) % 242.88/243.33 (step @p431 :rule cong :premises (@p430) :args (@t393)) % 242.88/243.33 (step @p432 :rule trans :premises (@p431 @p429)) % 242.88/243.33 (step @p433 :rule nary_cong :premises (@p432 @p428) :args (@t394)) % 242.88/243.33 (step @p434 :rule refl :args (@t99)) % 242.88/243.33 (step @p435 :rule cong :premises (@p434 @p433) :args (@t395)) % 242.88/243.33 (step @p436 :rule cong :premises (@p435) :args ((forall @t69 @t395))) % 242.88/243.33 ; trust TRUST SUBS_EQ % 242.88/243.33 (step @p437 :rule trust :premises () :args ((= (forall @t69 (= @t67 @t389)) (= tptp.composite @t391)))) % 242.88/243.33 (step @p438 :rule aci_norm :args ((= (or (or @t171 @t169) (or @t167 @t165) @t163) @t172))) % 242.88/243.33 (step @p439 :rule refl :args (@t163)) % 242.88/243.33 (step @p440 :rule bool-double-not-elim :args (@t165)) % 242.88/243.33 (step @p441 :rule refl :args (@t167)) % 242.88/243.33 (step @p442 :rule nary_cong :premises (@p441 @p440) :args ((or @t167 (not @t396)))) % 242.88/243.33 (step @p443 :rule bool-and-de-morgan :args (@t166 @t396 true)) % 242.88/243.33 (step @p444 :rule trans :premises (@p443 @p442)) % 242.88/243.33 (step @p445 :rule bool-double-not-elim :args (@t169)) % 242.88/243.33 (step @p446 :rule refl :args (@t171)) % 242.88/243.33 (step @p447 :rule nary_cong :premises (@p446 @p445) :args ((or @t171 (not @t397)))) % 242.88/243.33 (step @p448 :rule bool-and-de-morgan :args (@t170 @t397 true)) % 242.88/243.33 (step @p449 :rule trans :premises (@p448 @p447)) % 242.88/243.33 (step @p450 :rule nary_cong :premises (@p449 @p444 @p439) :args (@t398)) % 242.88/243.33 (step @p451 :rule trans :premises (@p450 @p438)) % 242.88/243.33 (step @p452 :rule cong :premises (@p451) :args ((forall @t173 @t398))) % 242.88/243.33 (step @p453 :rule refl :args (@t163)) % 242.88/243.33 (step @p454 :rule eq-symm :args (@t164 @t42)) % 242.88/243.33 (step @p455 :rule cong :premises (@p454) :args (@t399)) % 242.88/243.33 (step @p456 :rule refl :args (@t166)) % 242.88/243.33 (step @p457 :rule nary_cong :premises (@p456 @p455) :args (@t400)) % 242.88/243.33 (step @p458 :rule beta-reduce :args ((= @t404 @t400))) % 242.88/243.33 (step @p459 :rule trans :premises (@p458 @p457)) % 242.88/243.33 (step @p460 :rule cong :premises (@p459) :args (@t405)) % 242.88/243.33 (step @p461 :rule eq-symm :args (@t168 @t42)) % 242.88/243.33 (step @p462 :rule cong :premises (@p461) :args (@t406)) % 242.88/243.33 (step @p463 :rule refl :args (@t170)) % 242.88/243.33 (step @p464 :rule nary_cong :premises (@p463 @p462) :args (@t407)) % 242.88/243.33 (step @p465 :rule beta-reduce :args ((= @t408 @t407))) % 242.88/243.33 (step @p466 :rule trans :premises (@p465 @p464)) % 242.88/243.33 (step @p467 :rule cong :premises (@p466) :args (@t409)) % 242.88/243.33 (step @p468 :rule nary_cong :premises (@p467 @p460 @p453) :args (@t410)) % 242.88/243.33 (step @p469 :rule cong :premises (@p468) :args (@t411)) % 242.88/243.33 (step @p470 :rule trans :premises (@p469 @p452)) % 242.88/243.33 (step @p471 :rule cong :premises (@p470) :args (@t412)) % 242.88/243.33 (step @p472 :rule refl :args (@t67)) % 242.88/243.33 (step @p473 :rule cong :premises (@p472 @p471) :args (@t413)) % 242.88/243.33 (step @p474 :rule cong :premises (@p473) :args ((forall @t69 @t413))) % 242.88/243.33 (step @p475 :rule refl :args (@t42)) % 242.88/243.33 (step @p476 :rule refl :args (@t164)) % 242.88/243.33 ; trust TRUST SUBS_EQ % 242.88/243.33 (step @p477 :rule trust :premises () :args ((= (forall @t25 (= @t34 (and @t31 @t30))) (= tptp.p__greater__ @t403)))) % 242.88/243.33 (step @p478 :rule refl :args (@t30)) % 242.88/243.33 (step @p479 :rule beta-reduce :args ((= @t414 @t31))) % 242.88/243.33 (step @p480 :rule nary_cong :premises (@p479 @p478) :args (@t415)) % 242.88/243.33 (step @p481 :rule refl :args (@t34)) % 242.88/243.33 (step @p482 :rule cong :premises (@p481 @p480) :args (@t416)) % 242.88/243.33 (step @p483 :rule cong :premises (@p482) :args ((forall @t25 @t416))) % 242.88/243.33 (step @p484 :rule refl :args (@t8)) % 242.88/243.33 (step @p485 :rule refl :args (@t20)) % 242.88/243.33 (step @p486 :rule ho_cong :premises (@p33 @p485 @p484)) % 242.88/243.33 (step @p487 :rule nary_cong :premises (@p486 @p478) :args (@t33)) % 242.88/243.33 (step @p488 :rule cong :premises (@p481 @p487) :args (@t35)) % 242.88/243.33 (step @p489 :rule cong :premises (@p488) :args (@t36)) % 242.88/243.33 (step @p490 :rule trans :premises (@p489 @p483)) % 242.88/243.33 (step @p491 :rule eq_resolve :premises (@p12 @p490)) % 242.88/243.33 (step @p492 :rule eq_resolve :premises (@p491 @p477)) % 242.88/243.33 (step @p493 :rule ho_cong :premises (@p492 @p476 @p475)) % 242.88/243.33 (step @p494 :rule cong :premises (@p493) :args (@t417)) % 242.88/243.33 (step @p495 :rule refl :args (@t168)) % 242.88/243.33 (step @p496 :rule ho_cong :premises (@p492 @p495 @p475)) % 242.88/243.33 (step @p497 :rule cong :premises (@p496) :args (@t418)) % 242.88/243.33 (step @p498 :rule nary_cong :premises (@p497 @p494 @p453) :args (@t419)) % 242.88/243.33 (step @p499 :rule cong :premises (@p498) :args (@t420)) % 242.88/243.33 (step @p500 :rule cong :premises (@p499) :args (@t421)) % 242.88/243.33 (step @p501 :rule cong :premises (@p472 @p500) :args (@t422)) % 242.88/243.33 (step @p502 :rule cong :premises (@p501) :args ((forall @t69 @t422))) % 242.88/243.33 (step @p503 :rule trans :premises (@p502 @p474)) % 242.88/243.33 (step @p504 :rule aci_norm :args ((= (or @t418 @t417 @t163 false) @t419))) % 242.88/243.33 (step @p505 :rule eq-refl :args (@t164)) % 242.88/243.33 (step @p506 :rule cong :premises (@p505) :args (@t423)) % 242.88/243.33 (step @p507 :rule trans :premises (@p506 @p77)) % 242.88/243.33 (step @p508 :rule refl :args (@t417)) % 242.88/243.33 (step @p509 :rule refl :args (@t418)) % 242.88/243.33 (step @p510 :rule nary_cong :premises (@p509 @p508 @p453 @p507) :args (@t424)) % 242.88/243.33 (step @p511 :rule trans :premises (@p510 @p504)) % 242.88/243.33 (step @p512 :rule cong :premises (@p511) :args ((forall @t173 @t424))) % 242.88/243.33 (step @p513 :rule quant-var-elim-eq :args ((= (forall @t208 @t428) @t424))) % 242.88/243.33 (step @p514 :rule aci_norm :args ((= @t429 @t428))) % 242.88/243.33 (step @p515 :rule cong :premises (@p514) :args (@t430)) % 242.88/243.33 (step @p516 :rule trans :premises (@p515 @p513)) % 242.88/243.33 (step @p517 :rule cong :premises (@p516) :args (@t431)) % 242.88/243.33 (step @p518 :rule quant-merge-prenex :args ((= @t431 @t432))) % 242.88/243.33 (step @p519 :rule symm :premises (@p518)) % 242.88/243.33 (step @p520 :rule quant_var_reordering :args ((= (forall @t433 @t429) @t432))) % 242.88/243.33 (step @p521 :rule trans :premises (@p520 @p519 @p517)) % 242.88/243.33 (step @p522 :rule trans :premises (@p521 @p512)) % 242.88/243.33 (step @p523 :rule aci_norm :args ((= (or @t418 @t427 @t163 false @t425) @t429))) % 242.88/243.33 (step @p524 :rule refl :args (@t425)) % 242.88/243.33 (step @p525 :rule eq-refl :args (@t168)) % 242.88/243.33 (step @p526 :rule cong :premises (@p525) :args (@t434)) % 242.88/243.33 (step @p527 :rule trans :premises (@p526 @p77)) % 242.88/243.33 (step @p528 :rule refl :args (@t427)) % 242.88/243.33 (step @p529 :rule nary_cong :premises (@p509 @p528 @p453 @p527 @p524) :args (@t435)) % 242.88/243.33 (step @p530 :rule trans :premises (@p529 @p523)) % 242.88/243.33 (step @p531 :rule cong :premises (@p530) :args ((forall @t433 @t435))) % 242.88/243.33 (step @p532 :rule trans :premises (@p531 @p522)) % 242.88/243.33 (step @p533 :rule quant-var-elim-eq :args ((= (forall @t97 @t439) @t435))) % 242.88/243.33 (step @p534 :rule aci_norm :args ((= @t440 @t439))) % 242.88/243.33 (step @p535 :rule cong :premises (@p534) :args (@t441)) % 242.88/243.33 (step @p536 :rule trans :premises (@p535 @p533)) % 242.88/243.33 (step @p537 :rule cong :premises (@p536) :args (@t442)) % 242.88/243.33 (step @p538 :rule quant-merge-prenex :args ((= @t442 @t443))) % 242.88/243.33 (step @p539 :rule symm :premises (@p538)) % 242.88/243.33 (step @p540 :rule quant_var_reordering :args ((= (forall @t444 @t440) @t443))) % 242.88/243.33 (step @p541 :rule trans :premises (@p540 @p539 @p537)) % 242.88/243.33 (step @p542 :rule trans :premises (@p541 @p532)) % 242.88/243.33 (step @p543 :rule aci_norm :args ((= @t446 @t440))) % 242.88/243.33 (step @p544 :rule cong :premises (@p543) :args (@t447)) % 242.88/243.33 (step @p545 :rule trans :premises (@p544 @p542)) % 242.88/243.33 (step @p546 :rule quant-merge-prenex :args ((= (forall @t65 @t448) @t447))) % 242.88/243.33 (step @p547 :rule refl :args (@t427)) % 242.88/243.33 (step @p548 :rule refl :args (@t438)) % 242.88/243.33 (step @p549 :rule alpha_equiv :args (@t449 (@list @t161 @t160) @t237)) % 242.88/243.33 (step @p550 :rule nary_cong :premises (@p549 @p548 @p547) :args (@t450)) % 242.88/243.33 (step @p551 :rule quant-miniscope-or :args ((= @t448 @t450))) % 242.88/243.33 (step @p552 :rule trans :premises (@p551 @p550)) % 242.88/243.33 (step @p553 :rule symm :premises (@p552)) % 242.88/243.33 (step @p554 :rule cong :premises (@p553) :args ((forall @t65 (or @t261 @t438 @t427)))) % 242.88/243.33 (step @p555 :rule trans :premises (@p554 @p546)) % 242.88/243.33 (step @p556 :rule trans :premises (@p555 @p545)) % 242.88/243.33 (step @p557 :rule nary_cong :premises (@p131 @p548 @p547) :args (@t451)) % 242.88/243.33 (step @p558 :rule aci_norm :args ((= (or @t267 (or @t438 @t427)) @t451))) % 242.88/243.33 (step @p559 :rule trans :premises (@p558 @p557)) % 242.88/243.33 (step @p560 :rule bool-and-de-morgan :args (@t437 @t426 true)) % 242.88/243.33 (step @p561 :rule nary_cong :premises (@p136 @p560) :args ((or @t267 (not (and @t437 @t426))))) % 242.88/243.33 (step @p562 :rule bool-and-de-morgan :args (@t266 @t437 (and @t426))) % 242.88/243.33 (step @p563 :rule trans :premises (@p562 @p561)) % 242.88/243.33 (step @p564 :rule trans :premises (@p563 @p559)) % 242.88/243.33 (step @p565 :rule cong :premises (@p564) :args (@t453)) % 242.88/243.33 (step @p566 :rule trans :premises (@p565 @p556)) % 242.88/243.33 (step @p567 :rule cong :premises (@p566) :args (@t454)) % 242.88/243.33 (step @p568 :rule exists-elim :args ((= (exists @t65 @t452) @t454))) % 242.88/243.33 (step @p569 :rule trans :premises (@p568 @p567)) % 242.88/243.33 (step @p570 :rule bool-double-not-elim :args (@t426)) % 242.88/243.33 (step @p571 :rule aci_norm :args ((= (or false @t427) @t427))) % 242.88/243.33 (step @p572 :rule eq-refl :args (@t42)) % 242.88/243.33 (step @p573 :rule cong :premises (@p572) :args (@t455)) % 242.88/243.33 (step @p574 :rule trans :premises (@p573 @p77)) % 242.88/243.33 (step @p575 :rule nary_cong :premises (@p574 @p528) :args (@t456)) % 242.88/243.33 (step @p576 :rule trans :premises (@p575 @p571)) % 242.88/243.33 (step @p577 :rule quant-var-elim-eq :args ((= (forall @t276 @t459) @t456))) % 242.88/243.33 (step @p578 :rule aci_norm :args ((= @t460 @t459))) % 242.88/243.33 (step @p579 :rule cong :premises (@p578) :args ((forall @t276 @t460))) % 242.88/243.33 (step @p580 :rule trans :premises (@p579 @p577)) % 242.88/243.33 (step @p581 :rule trans :premises (@p580 @p576)) % 242.88/243.33 (step @p582 :rule aci_norm :args ((= (or false @t458 @t457) @t460))) % 242.88/243.33 (step @p583 :rule refl :args (@t457)) % 242.88/243.33 (step @p584 :rule refl :args (@t458)) % 242.88/243.33 (step @p585 :rule nary_cong :premises (@p152 @p584 @p583) :args (@t461)) % 242.88/243.33 (step @p586 :rule trans :premises (@p585 @p582)) % 242.88/243.33 (step @p587 :rule cong :premises (@p586) :args ((forall @t276 @t461))) % 242.88/243.33 (step @p588 :rule trans :premises (@p587 @p581)) % 242.88/243.33 (step @p589 :rule quant-var-elim-eq :args ((= (forall @t93 (or @t287 @t286 @t458 @t462)) @t461))) % 242.88/243.33 (step @p590 :rule refl :args (@t462)) % 242.88/243.33 (step @p591 :rule refl :args (@t458)) % 242.88/243.33 (step @p592 :rule nary_cong :premises (@p185 @p183 @p591 @p590) :args (@t463)) % 242.88/243.33 (step @p593 :rule aci_norm :args ((= @t464 @t463))) % 242.88/243.33 (step @p594 :rule trans :premises (@p593 @p592)) % 242.88/243.33 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@p2284 :rule int_tight_ub :premises (@p2283)) % 242.88/243.33 (step @p2206 :rule arith_mult_neg :args (-1 @t794)) % 242.88/243.33 (step @p1607 :rule arith_poly_norm :args (@t793)) % 242.88/243.33 (step @p1608 :rule arith_poly_norm_rel :premises (@p1607) :args (@t795)) % 242.88/243.33 (step @p1609 :rule symm :premises (@p1608)) % 242.88/243.33 (step @p2285 :rule eq_resolve :premises (@p2542 @p1609)) % 242.88/243.33 (step @p1106 :rule evaluate :args (@t674)) % 242.88/243.33 (step @p1107 :rule true_elim :premises (@p1106)) % 242.88/243.33 (step @p2286 :rule and_intro :premises (@p1107 @p2285)) % 242.88/243.33 (step @p2287 :rule modus_ponens :premises (@p2286 @p2206)) % 242.88/243.33 (step @p2203 :rule arith_mult_neg :args (-1 @t650)) % 242.88/243.33 (step @p2204 :rule and_intro :premises (@p1107 @p2178)) % 242.88/243.33 (step @p2205 :rule modus_ponens :premises (@p2204 @p2203)) % 242.88/243.33 (step @p2288 :rule arith-elim-lt :args (@t939 0)) % 242.88/243.33 (step @p2289 :rule symm :premises (@p2288)) % 242.88/243.33 (step @p2290 :rule eq_resolve :premises (@p2544 @p2289)) % 242.88/243.33 (step @p2291 :rule arith_sum_ub :premises (@p2290 @p2205 @p2287 @p2284)) % 242.88/243.33 (step @p2292 false :rule eq_resolve :premises (@p2291 @p2280)) % 242.88/243.33 (step-pop @p2545 :rule scope :premises (@p2292)) % 242.88/243.33 (step-pop @p2546 :rule scope :premises (@p2545)) % 242.88/243.33 (step-pop @p2547 :rule scope :premises (@p2546)) % 242.88/243.33 (step-pop @p2548 :rule scope :premises (@p2547)) % 242.88/243.33 (step @p2293 :rule process_scope :premises (@p2548) :args (false)) % 242.88/243.33 (step @p2298 :rule not_and :premises (@p2293)) % 242.88/243.33 (step @p2299 :rule eq_resolve :premises (@p2298 @p2261)) % 242.88/243.33 (step @p2300 :rule chain_m_resolution :premises (@p2299 @p1324 @p2178 @p2258 @p2256 @p1763 @p2227 @p1304 @p2166 @p2164 @p1710 @p1708) :args (@t185 (@list false false true false false false false true false false false) (@list @t728 @t650 @t940 @t942 @t818 @t929 @t704 @t858 @t884 @t182 @t184))) % 242.88/243.33 (step @p1413 :rule cong :premises (@p1412 @p1411) :args (@t747)) % 242.88/243.33 (step @p1414 :rule cong :premises (@p1413) :args (@t748)) % 242.88/243.33 (step @p1415 :rule arith-leq-norm :args (@t179 0)) % 242.88/243.33 (step @p1416 :rule trans :premises (@p1415 @p1414)) % 242.88/243.33 (step @p2301 :rule nary_cong :premises (@p1416 @p1679) :args ((or @t749 @t183))) % 242.88/243.33 (step @p2302 :rule symm :premises (@p2301)) % 242.88/243.33 (step @p2303 :rule bool-double-not-elim :args (@t749)) % 242.88/243.33 (step @p2304 :rule trans :premises (@p2303 @p1416)) % 242.88/243.33 (step @p2305 :rule nary_cong :premises (@p2304 @p2052) :args ((or (not @t750) (not @t185)))) % 242.88/243.33 (step @p2306 :rule trans :premises (@p2305 @p2302)) % 242.88/243.33 (assume-push @p2549 @t750) % 242.88/243.33 (assume-push @p2550 @t185) % 242.88/243.33 (step @p1497 :rule evaluate :args (@t767)) % 242.88/243.33 (step @p1498 :rule evaluate :args (@t768)) % 242.88/243.33 (step @p1336 :rule refl :args (0)) % 242.88/243.33 (step @p1499 :rule evaluate :args (@t769)) % 242.88/243.33 (step @p1500 :rule nary_cong :premises (@p1499 @p1336) :args (@t770)) % 242.88/243.33 (step @p1501 :rule trans :premises (@p1500 @p1498)) % 242.88/243.33 (step @p2309 :rule arith_poly_norm :args ((= @t950 0))) % 242.88/243.33 (step @p2310 :rule cong :premises (@p2309 @p1501) :args (@t951)) % 242.88/243.33 (step @p2311 :rule trans :premises (@p2310 @p1497)) % 242.88/243.33 (step @p2312 :rule cong :premises (@p2311) :args ((not @t951))) % 242.88/243.33 (step @p2313 :rule trans :premises (@p2312 @p77)) % 242.88/243.33 (step @p2314 :rule arith-elim-lt :args (@t950 @t770)) % 242.88/243.33 (step @p2315 :rule trans :premises (@p2314 @p2313)) % 242.88/243.33 (step @p2316 :rule arith-elim-lt :args (@t179 0)) % 242.88/243.33 (step @p2317 :rule symm :premises (@p2316)) % 242.88/243.33 (step @p2318 :rule eq_resolve :premises (@p2550 @p2317)) % 242.88/243.33 (step @p2319 :rule arith_mult_neg :args (-1 @t752)) % 242.88/243.33 (step @p1417 :rule cong :premises (@p1416) :args (@t750)) % 242.88/243.33 (step @p1418 :rule trans :premises (@p1417 @p1404)) % 242.88/243.33 (step @p1419 :rule arith-elim-leq :args (@t179 0)) % 242.88/243.33 (step @p1420 :rule symm :premises (@p1419)) % 242.88/243.33 (step @p1421 :rule cong :premises (@p1420) :args (@t751)) % 242.88/243.33 (step @p1422 :rule arith-elim-gt :args (@t179 0)) % 242.88/243.33 (step @p1423 :rule trans :premises (@p1422 @p1421)) % 242.88/243.33 (step @p1424 :rule trans :premises (@p1423 @p1418)) % 242.88/243.33 (step @p2320 :rule symm :premises (@p1424)) % 242.88/243.33 (step @p2321 :rule trans :premises (@p1418 @p2320)) % 242.88/243.33 (step @p2322 :rule eq_resolve :premises (@p2549 @p2321)) % 242.88/243.33 (step @p1106 :rule evaluate :args (@t674)) % 242.88/243.33 (step @p1107 :rule true_elim :premises (@p1106)) % 242.88/243.33 (step @p2323 :rule and_intro :premises (@p1107 @p2322)) % 242.88/243.33 (step @p2324 :rule modus_ponens :premises (@p2323 @p2319)) % 242.88/243.33 (step @p2325 :rule arith_sum_ub :premises (@p2324 @p2318)) % 242.88/243.33 (step @p2326 false :rule eq_resolve :premises (@p2325 @p2315)) % 242.88/243.33 (step-pop @p2551 :rule scope :premises (@p2326)) % 242.88/243.33 (step-pop @p2552 :rule scope :premises (@p2551)) % 242.88/243.33 (step @p2327 :rule process_scope :premises (@p2552) :args (false)) % 242.88/243.33 (step @p2330 :rule not_and :premises (@p2327)) % 242.88/243.33 (step @p2331 :rule eq_resolve :premises (@p2330 @p2306)) % 242.88/243.33 (step @p2332 :rule eq_resolve :premises (@p2331 @p2301)) % 242.88/243.33 (step @p2333 :rule reordering :premises (@p2332) :args ((or @t183 @t722))) % 242.88/243.33 (step @p2334 :rule chain_m_resolution :premises (@p2333 @p2300) :args (@t722 @t582 (@list @t183))) % 242.88/243.33 (step @p2335 :rule bool-double-not-elim :args (@t708)) % 242.88/243.33 (step @p2336 :rule nary_cong :premises (@p1299 @p2335) :args ((or @t714 (not @t709)))) % 242.88/243.33 (step @p2337 :rule cnf_or_neg :args (@t714 2)) % 242.88/243.33 (step @p2338 :rule eq_resolve :premises (@p2337 @p2336)) % 242.88/243.33 (step @p2339 :rule reordering :premises (@p2338) :args ((or @t708 @t714))) % 242.88/243.33 (step @p2340 :rule chain_m_resolution :premises (@p2339 @p1263) :args (@t708 @t582 @t720)) % 242.88/243.33 (step @p2341 :rule cnf_equiv_pos1 :args (@t952)) % 242.88/243.33 (step @p2342 :rule reordering :premises (@p2341) :args ((or @t709 @t721 @t953))) % 242.88/243.33 (step @p2343 :rule chain_m_resolution :premises (@p2342 @p2340 @p2334) :args (@t953 (@list false true) (@list @t708 @t721))) % 242.88/243.33 (step @p2344 :rule arith_poly_norm :args ((= (* -1 (- 1 @t955)) (* -1 (- @t954 1))))) % 242.88/243.33 (step @p2345 :rule arith_poly_norm_rel :premises (@p2344) :args ((= (>= 1 @t955) @t956))) % 242.88/243.33 (step @p2346 :rule arith-geq-tighten :args (@t179 1)) % 242.88/243.33 (step @p2347 :rule trans :premises (@p2346 @p2345)) % 242.88/243.33 (step @p2348 :rule symm :premises (@p2347)) % 242.88/243.33 (step @p2349 :rule cong :premises (@p2348) :args (@t957)) % 242.88/243.33 (step @p2350 :rule trans :premises (@p2349 @p1404)) % 242.88/243.33 (step @p2351 :rule refl :args (@t708)) % 242.88/243.33 (step @p2352 :rule cong :premises (@p2351 @p2350) :args ((= @t708 @t957))) % 242.88/243.33 (step @p2353 :rule eq-symm :args (@t957 @t708)) % 242.88/243.33 (step @p2354 :rule trans :premises (@p2353 @p2352)) % 242.88/243.33 (step @p2355 :rule cong :premises (@p1022 @p2354) :args ((=> @t638 @t958))) % 242.88/243.33 (assume-push @p2553 @t638) % 242.88/243.33 (step @p2357 :rule instantiate :premises (@p47) :args ((@list 1 @t179))) % 242.88/243.33 (step-pop @p2554 :rule scope :premises (@p2357)) % 242.88/243.33 (step @p2358 :rule process_scope :premises (@p2554) :args (@t958)) % 242.88/243.33 (step @p2360 :rule eq_resolve :premises (@p2358 @p2355)) % 242.88/243.33 (step @p2361 :rule implies_elim :premises (@p2360)) % 242.88/243.33 (step @p2362 false :rule chain_m_resolution :premises (@p2361 @p2343 @p47) :args (false @t739 (@list @t952 @t638))) % 242.88/243.33 ) % 242.88/243.33 % SZS output end Proof % 242.88/243.33 % cvc5 exiting %------------------------------------------------------------------------------