%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV006^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:55:18 AM UTC 2026 % Result : Theorem 0.45s 0.69s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV006^5 : TPTP v9.2.1. Released v4.0.0. % 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 : n019.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 18:07:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.49 %----Proving TH0 % 0.45/0.69 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.69 % SZS status Theorem % 0.45/0.69 % SZS output start Proof % 0.45/0.69 ( % 0.45/0.69 (declare-sort tptp.a 0) % 0.45/0.69 (define @t1 () (@var "Xc" tptp.a)) % 0.45/0.69 (define @t2 () (@var "Xy" tptp.a)) % 0.45/0.69 (define @t3 () (@var "JOIN" (-> tptp.a tptp.a tptp.a))) % 0.45/0.69 (define @t4 () (_ (_ @t3 @t1) @t2)) % 0.45/0.69 (define @t5 () (@var "MEET" (-> tptp.a tptp.a tptp.a))) % 0.45/0.69 (define @t6 () (_ (_ @t5 @t1) @t2)) % 0.45/0.69 (define @t7 () (@var "Xb" tptp.a)) % 0.45/0.69 (define @t8 () (_ @t3 @t7)) % 0.45/0.69 (define @t9 () (_ @t8 @t2)) % 0.45/0.69 (define @t10 () (_ @t5 @t7)) % 0.45/0.69 (define @t11 () (_ @t10 @t2)) % 0.45/0.69 (define @t12 () (@var "Xx" tptp.a)) % 0.45/0.69 (define @t13 () (_ @t8 @t1)) % 0.45/0.69 (define @t14 () (_ @t10 @t1)) % 0.45/0.69 (define @t15 () (@var "Xa" tptp.a)) % 0.45/0.69 (define @t16 () (_ @t3 @t15)) % 0.45/0.69 (define @t17 () (_ @t16 @t2)) % 0.45/0.69 (define @t18 () (_ @t5 @t15)) % 0.45/0.69 (define @t19 () (_ @t18 @t2)) % 0.45/0.69 (define @t20 () (_ @t16 @t1)) % 0.45/0.69 (define @t21 () (_ @t18 @t1)) % 0.45/0.69 (define @t22 () (_ @t16 @t7)) % 0.45/0.69 (define @t23 () (_ @t18 @t7)) % 0.45/0.69 (define @t24 () (_ @t3 @t12)) % 0.45/0.69 (define @t25 () (_ @t24 @t1)) % 0.45/0.69 (define @t26 () (_ @t5 @t12)) % 0.45/0.69 (define @t27 () (_ @t26 @t1)) % 0.45/0.69 (define @t28 () (_ @t24 @t7)) % 0.45/0.69 (define @t29 () (_ @t26 @t7)) % 0.45/0.69 (define @t30 () (_ @t24 @t15)) % 0.45/0.69 (define @t31 () (_ @t26 @t15)) % 0.45/0.69 (define @t32 () (_ @t24 @t2)) % 0.45/0.69 (define @t33 () (_ @t26 @t2)) % 0.45/0.69 (define @t34 () (and (= @t33 @t2) (= @t32 @t12) (= @t31 @t15) (= @t30 @t12) (= @t29 @t7) (= @t28 @t12) (= @t27 @t1) (= @t25 @t12) (= @t23 @t2) (= @t22 @t12) (= @t21 @t15) (= @t20 @t1) (= @t19 @t2) (= @t17 @t15) (= @t14 @t2) (= @t13 @t12) (= @t11 @t2) (= @t9 @t7) (= @t6 @t2) (= @t4 @t1))) % 0.45/0.69 (define @t35 () (@list @t12 @t2 @t15 @t7 @t1)) % 0.45/0.69 (define @t36 () (exists @t35 @t34)) % 0.45/0.69 (define @t37 () (@var "Xz" tptp.a)) % 0.45/0.69 (define @t38 () (_ @t24 @t37)) % 0.45/0.69 (define @t39 () (_ @t5 @t32)) % 0.45/0.69 (define @t40 () (_ @t39 @t38)) % 0.45/0.69 (define @t41 () (_ @t5 @t2)) % 0.45/0.69 (define @t42 () (_ @t41 @t38)) % 0.45/0.69 (define @t43 () (_ @t24 @t42)) % 0.45/0.69 (define @t44 () (= @t43 @t40)) % 0.45/0.69 (define @t45 () (@list @t12 @t2 @t37)) % 0.45/0.69 (define @t46 () (forall @t45 @t44)) % 0.45/0.69 (define @t47 () (not @t46)) % 0.45/0.69 (define @t48 () (= @t12 @t2)) % 0.45/0.69 (define @t49 () (not @t48)) % 0.45/0.69 (define @t50 () (not (= @t1 @t2))) % 0.45/0.69 (define @t51 () (not (= @t1 @t12))) % 0.45/0.69 (define @t52 () (not (= @t7 @t2))) % 0.45/0.69 (define @t53 () (not (= @t7 @t12))) % 0.45/0.69 (define @t54 () (= @t7 @t1)) % 0.45/0.69 (define @t55 () (not @t54)) % 0.45/0.69 (define @t56 () (not (= @t15 @t2))) % 0.45/0.69 (define @t57 () (not (= @t15 @t12))) % 0.45/0.69 (define @t58 () (= @t15 @t1)) % 0.45/0.69 (define @t59 () (not @t58)) % 0.45/0.69 (define @t60 () (= @t15 @t7)) % 0.45/0.69 (define @t61 () (not @t60)) % 0.45/0.69 (define @t62 () (and @t61 @t59 @t57 @t56 @t55 @t53 @t52 @t51 @t50 @t49)) % 0.45/0.69 (define @t63 () (exists @t35 @t62)) % 0.45/0.69 (define @t64 () (_ @t39 @t2)) % 0.45/0.69 (define @t65 () (@list @t12 @t2)) % 0.45/0.69 (define @t66 () (forall @t65 (= @t64 @t2))) % 0.45/0.69 (define @t67 () (_ (_ @t3 @t33) @t2)) % 0.45/0.69 (define @t68 () (forall @t65 (= @t67 @t2))) % 0.45/0.69 (define @t69 () (_ @t41 @t12)) % 0.45/0.69 (define @t70 () (= @t33 @t69)) % 0.45/0.69 (define @t71 () (forall @t65 @t70)) % 0.45/0.69 (define @t72 () (_ @t3 @t2)) % 0.45/0.69 (define @t73 () (_ @t72 @t12)) % 0.45/0.69 (define @t74 () (= @t32 @t73)) % 0.45/0.69 (define @t75 () (forall @t65 @t74)) % 0.45/0.69 (define @t76 () (_ @t41 @t37)) % 0.45/0.69 (define @t77 () (_ @t26 @t76)) % 0.45/0.69 (define @t78 () (_ (_ @t5 @t33) @t37)) % 0.45/0.69 (define @t79 () (= @t78 @t77)) % 0.45/0.69 (define @t80 () (forall @t45 @t79)) % 0.45/0.69 (define @t81 () (_ @t72 @t37)) % 0.45/0.69 (define @t82 () (_ @t24 @t81)) % 0.45/0.69 (define @t83 () (_ (_ @t3 @t32) @t37)) % 0.45/0.69 (define @t84 () (= @t83 @t82)) % 0.45/0.69 (define @t85 () (forall @t45 @t84)) % 0.45/0.69 (define @t86 () (_ @t26 @t12)) % 0.45/0.69 (define @t87 () (@list @t12)) % 0.45/0.69 (define @t88 () (forall @t87 (= @t86 @t12))) % 0.45/0.69 (define @t89 () (_ @t24 @t12)) % 0.45/0.69 (define @t90 () (forall @t87 (= @t89 @t12))) % 0.45/0.69 (define @t91 () (and @t90 @t88 @t85 @t80 @t75 @t71 @t68 @t66 @t63 @t47)) % 0.45/0.69 (define @t92 () (=> @t91 @t36)) % 0.45/0.69 (define @t93 () (@list @t3 @t5)) % 0.45/0.69 (define @t94 () (forall @t93 @t92)) % 0.45/0.69 (define @t95 () (not @t94)) % 0.45/0.69 (define @t96 () (_ @t5 @t15 @t7)) % 0.45/0.69 (define @t97 () (not (= @t1 (_ @t3 @t1 @t96)))) % 0.45/0.69 (define @t98 () (not (= @t96 (_ @t5 @t1 @t96)))) % 0.45/0.69 (define @t99 () (not (= @t7 (_ @t3 @t7 @t96)))) % 0.45/0.69 (define @t100 () (not (= @t96 (_ @t5 @t7 @t96)))) % 0.45/0.69 (define @t101 () (_ @t3 @t7 @t1)) % 0.45/0.69 (define @t102 () (_ @t3 @t15 @t7)) % 0.45/0.69 (define @t103 () (not (= @t102 @t101))) % 0.45/0.69 (define @t104 () (_ @t5 @t7 @t1)) % 0.45/0.69 (define @t105 () (not (= @t96 @t104))) % 0.45/0.69 (define @t106 () (not (= @t15 (_ @t3 @t15 @t96)))) % 0.45/0.69 (define @t107 () (not (= @t96 (_ @t5 @t15 @t96)))) % 0.45/0.69 (define @t108 () (_ @t3 @t15 @t1)) % 0.45/0.69 (define @t109 () (not (= @t1 @t108))) % 0.45/0.69 (define @t110 () (_ @t5 @t15 @t1)) % 0.45/0.69 (define @t111 () (not (= @t15 @t110))) % 0.45/0.69 (define @t112 () (not (= @t102 (_ @t3 @t102 @t1)))) % 0.45/0.69 (define @t113 () (not (= @t1 (_ @t5 @t102 @t1)))) % 0.45/0.69 (define @t114 () (not (= @t102 (_ @t3 @t102 @t7)))) % 0.45/0.69 (define @t115 () (not (= @t7 (_ @t5 @t102 @t7)))) % 0.45/0.69 (define @t116 () (not (= @t102 (_ @t3 @t102 @t15)))) % 0.45/0.69 (define @t117 () (not (= @t15 (_ @t5 @t102 @t15)))) % 0.45/0.69 (define @t118 () (not (= @t102 (_ @t3 @t102 @t96)))) % 0.45/0.69 (define @t119 () (not (= @t96 (_ @t5 @t102 @t96)))) % 0.45/0.69 (define @t120 () (or @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t109 @t107 @t106 @t105 @t103 @t100 @t99 @t98 @t97)) % 0.45/0.69 (define @t121 () (@list @t15 @t7 @t1)) % 0.45/0.69 (define @t122 () (not (forall @t121 @t120))) % 0.45/0.69 (define @t123 () (@var "BOUND_VARIABLE_7815" tptp.a)) % 0.45/0.69 (define @t124 () (@var "BOUND_VARIABLE_7811" tptp.a)) % 0.45/0.69 (define @t125 () (_ @t3 @t124 @t123)) % 0.45/0.69 (define @t126 () (@var "BOUND_VARIABLE_7813" tptp.a)) % 0.45/0.69 (define @t127 () (= (_ @t3 @t124 (_ @t5 @t126 @t125)) (_ @t5 (_ @t3 @t124 @t126) @t125))) % 0.45/0.69 (define @t128 () (_ @t3 @t12 @t2)) % 0.45/0.69 (define @t129 () (_ @t5 @t128 @t2)) % 0.45/0.69 (define @t130 () (forall @t65 (= @t2 @t129))) % 0.45/0.69 (define @t131 () (not @t130)) % 0.45/0.69 (define @t132 () (_ @t5 @t12 @t2)) % 0.45/0.69 (define @t133 () (_ @t3 @t132 @t2)) % 0.45/0.69 (define @t134 () (forall @t65 (= @t2 @t133))) % 0.45/0.69 (define @t135 () (not @t134)) % 0.45/0.69 (define @t136 () (_ @t5 @t2 @t12)) % 0.45/0.69 (define @t137 () (forall @t65 (= @t132 @t136))) % 0.45/0.69 (define @t138 () (not @t137)) % 0.45/0.69 (define @t139 () (_ @t5 @t2 @t37)) % 0.45/0.69 (define @t140 () (_ @t5 @t12 @t139)) % 0.45/0.69 (define @t141 () (_ @t5 @t132 @t37)) % 0.45/0.69 (define @t142 () (forall @t45 (= @t141 @t140))) % 0.45/0.69 (define @t143 () (not @t142)) % 0.45/0.69 (define @t144 () (_ @t5 @t12 @t12)) % 0.45/0.69 (define @t145 () (forall @t87 (= @t12 @t144))) % 0.45/0.69 (define @t146 () (not @t145)) % 0.45/0.69 (define @t147 () (_ @t3 @t2 @t12)) % 0.45/0.69 (define @t148 () (forall @t65 (= @t128 @t147))) % 0.45/0.69 (define @t149 () (not @t148)) % 0.45/0.69 (define @t150 () (_ @t3 @t2 @t37)) % 0.45/0.69 (define @t151 () (_ @t3 @t12 @t150)) % 0.45/0.69 (define @t152 () (_ @t3 @t128 @t37)) % 0.45/0.69 (define @t153 () (forall @t45 (= @t152 @t151))) % 0.45/0.69 (define @t154 () (not @t153)) % 0.45/0.69 (define @t155 () (_ @t3 @t12 @t12)) % 0.45/0.69 (define @t156 () (forall @t87 (= @t12 @t155))) % 0.45/0.69 (define @t157 () (not @t156)) % 0.45/0.69 (define @t158 () (or @t157 @t154 @t149 @t146 @t143 @t138 @t135 @t131 @t127 @t122)) % 0.45/0.69 (define @t159 () (forall (@list @t3 @t5 @t124 @t126 @t123) @t158)) % 0.45/0.69 (define @t160 () (@list @t124 @t126 @t123)) % 0.45/0.69 (define @t161 () (forall @t160 @t158)) % 0.45/0.69 (define @t162 () (forall @t160 @t127)) % 0.45/0.69 (define @t163 () (or @t157 @t154 @t149 @t146 @t143 @t138 @t135 @t131 @t162 @t122)) % 0.45/0.69 (define @t164 () (_ @t3 @t12 @t37)) % 0.45/0.69 (define @t165 () (_ @t5 @t128 @t164)) % 0.45/0.69 (define @t166 () (_ @t5 @t2 @t164)) % 0.45/0.69 (define @t167 () (_ @t3 @t12 @t166)) % 0.45/0.69 (define @t168 () (forall @t45 (= @t167 @t165))) % 0.45/0.69 (define @t169 () (or @t157 @t154 @t149 @t146 @t143 @t138 @t135 @t131 @t168 @t122)) % 0.45/0.69 (define @t170 () (forall @t93 @t169)) % 0.45/0.69 (define @t171 () (= @t2 @t1)) % 0.45/0.69 (define @t172 () (= @t12 @t1)) % 0.45/0.69 (define @t173 () (= @t2 @t7)) % 0.45/0.69 (define @t174 () (= @t12 @t7)) % 0.45/0.69 (define @t175 () (= @t2 @t15)) % 0.45/0.69 (define @t176 () (= @t12 @t15)) % 0.45/0.69 (define @t177 () (forall @t35 (or @t60 @t58 @t176 @t175 @t54 @t174 @t173 @t172 @t171 @t48))) % 0.45/0.69 (define @t178 () (or @t177 @t170)) % 0.45/0.69 (define @t179 () (or @t177 @t169)) % 0.45/0.69 (define @t180 () (or @t157 @t146 @t154 @t143 @t149 @t138 @t135 @t131 @t177 @t168 @t122)) % 0.45/0.69 (define @t181 () (not @t168)) % 0.45/0.69 (define @t182 () (not @t181)) % 0.45/0.69 (define @t183 () (not @t177)) % 0.45/0.69 (define @t184 () (not @t183)) % 0.45/0.69 (define @t185 () (or @t157 @t146 @t154 @t143 @t149 @t138 @t135 @t131 @t184 @t182)) % 0.45/0.69 (define @t186 () (and @t156 @t145 @t153 @t142 @t148 @t137 @t134 @t130 @t183 @t181)) % 0.45/0.69 (define @t187 () (not (= @t102 @t102))) % 0.45/0.69 (define @t188 () (or @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t187 @t111 @t109 @t107 @t106 @t105 @t103 @t100 @t99 @t98 @t97)) % 0.45/0.69 (define @t189 () (not (= @t12 @t101))) % 0.45/0.69 (define @t190 () (not (= @t12 @t102))) % 0.45/0.69 (define @t191 () (_ @t3 @t12 @t1)) % 0.45/0.69 (define @t192 () (not (= @t12 @t191))) % 0.45/0.69 (define @t193 () (_ @t5 @t12 @t1)) % 0.45/0.69 (define @t194 () (not (= @t1 @t193))) % 0.45/0.69 (define @t195 () (_ @t3 @t12 @t7)) % 0.45/0.69 (define @t196 () (not (= @t12 @t195))) % 0.45/0.69 (define @t197 () (_ @t5 @t12 @t7)) % 0.45/0.69 (define @t198 () (not (= @t7 @t197))) % 0.45/0.69 (define @t199 () (_ @t3 @t12 @t15)) % 0.45/0.69 (define @t200 () (not (= @t12 @t199))) % 0.45/0.69 (define @t201 () (_ @t5 @t12 @t15)) % 0.45/0.69 (define @t202 () (not (= @t15 @t201))) % 0.45/0.69 (define @t203 () (not (= @t12 (_ @t3 @t12 @t96)))) % 0.45/0.69 (define @t204 () (not (= @t96 (_ @t5 @t12 @t96)))) % 0.45/0.69 (define @t205 () (or @t190 @t204 @t203 @t202 @t200 @t198 @t196 @t194 @t192 @t190 @t111 @t109 @t107 @t106 @t105 @t189 @t100 @t99 @t98 @t97)) % 0.45/0.69 (define @t206 () (or @t204 @t203 @t202 @t200 @t198 @t196 @t194 @t192 @t190 @t111 @t109 @t107 @t106 @t105 @t189 @t100 @t99 @t98 @t97)) % 0.45/0.69 (define @t207 () (forall @t87 @t206)) % 0.45/0.69 (define @t208 () (forall @t121 @t207)) % 0.45/0.69 (define @t209 () (forall (@list @t15 @t7 @t1 @t12) @t206)) % 0.45/0.69 (define @t210 () (@list @t12 @t15 @t7 @t1)) % 0.45/0.69 (define @t211 () (not (= @t96 @t96))) % 0.45/0.69 (define @t212 () (or @t204 @t203 @t202 @t200 @t198 @t196 @t194 @t192 @t211 @t190 @t111 @t109 @t107 @t106 @t105 @t189 @t100 @t99 @t98 @t97)) % 0.45/0.69 (define @t213 () (_ @t3 @t1 @t2)) % 0.45/0.69 (define @t214 () (not (= @t1 @t213))) % 0.45/0.69 (define @t215 () (_ @t5 @t1 @t2)) % 0.45/0.69 (define @t216 () (not (= @t2 @t215))) % 0.45/0.69 (define @t217 () (_ @t3 @t7 @t2)) % 0.45/0.69 (define @t218 () (not (= @t7 @t217))) % 0.45/0.69 (define @t219 () (_ @t5 @t7 @t2)) % 0.45/0.69 (define @t220 () (not (= @t2 @t219))) % 0.45/0.69 (define @t221 () (not (= @t2 @t104))) % 0.45/0.69 (define @t222 () (_ @t3 @t15 @t2)) % 0.45/0.69 (define @t223 () (not (= @t15 @t222))) % 0.45/0.69 (define @t224 () (_ @t5 @t15 @t2)) % 0.45/0.69 (define @t225 () (not (= @t2 @t224))) % 0.45/0.69 (define @t226 () (not (= @t2 @t96))) % 0.45/0.69 (define @t227 () (not (= @t12 @t128))) % 0.45/0.69 (define @t228 () (not (= @t2 @t132))) % 0.45/0.69 (define @t229 () (or @t226 @t228 @t227 @t202 @t200 @t198 @t196 @t194 @t192 @t226 @t190 @t111 @t109 @t225 @t223 @t221 @t189 @t220 @t218 @t216 @t214)) % 0.45/0.69 (define @t230 () (@list @t2)) % 0.45/0.69 (define @t231 () (or @t228 @t227 @t202 @t200 @t198 @t196 @t194 @t192 @t226 @t190 @t111 @t109 @t225 @t223 @t221 @t189 @t220 @t218 @t216 @t214)) % 0.45/0.69 (define @t232 () (forall @t230 @t231)) % 0.45/0.69 (define @t233 () (forall @t210 @t232)) % 0.45/0.69 (define @t234 () (forall (@list @t12 @t15 @t7 @t1 @t2) @t231)) % 0.45/0.69 (define @t235 () (= @t1 @t4)) % 0.45/0.69 (define @t236 () (not @t235)) % 0.45/0.69 (define @t237 () (= @t2 @t6)) % 0.45/0.69 (define @t238 () (not @t237)) % 0.45/0.69 (define @t239 () (= @t7 @t9)) % 0.45/0.69 (define @t240 () (not @t239)) % 0.45/0.69 (define @t241 () (= @t2 @t11)) % 0.45/0.69 (define @t242 () (not @t241)) % 0.45/0.69 (define @t243 () (= @t12 @t13)) % 0.45/0.69 (define @t244 () (not @t243)) % 0.45/0.69 (define @t245 () (= @t2 @t14)) % 0.45/0.69 (define @t246 () (not @t245)) % 0.45/0.69 (define @t247 () (= @t15 @t17)) % 0.45/0.69 (define @t248 () (not @t247)) % 0.45/0.69 (define @t249 () (= @t2 @t19)) % 0.45/0.69 (define @t250 () (not @t249)) % 0.45/0.69 (define @t251 () (= @t1 @t20)) % 0.45/0.69 (define @t252 () (not @t251)) % 0.45/0.69 (define @t253 () (= @t15 @t21)) % 0.45/0.69 (define @t254 () (not @t253)) % 0.45/0.69 (define @t255 () (= @t12 @t22)) % 0.45/0.69 (define @t256 () (not @t255)) % 0.45/0.69 (define @t257 () (= @t2 @t23)) % 0.45/0.69 (define @t258 () (not @t257)) % 0.45/0.69 (define @t259 () (= @t12 @t25)) % 0.45/0.69 (define @t260 () (not @t259)) % 0.45/0.69 (define @t261 () (= @t1 @t27)) % 0.45/0.69 (define @t262 () (not @t261)) % 0.45/0.69 (define @t263 () (= @t12 @t28)) % 0.45/0.69 (define @t264 () (not @t263)) % 0.45/0.69 (define @t265 () (= @t7 @t29)) % 0.45/0.69 (define @t266 () (not @t265)) % 0.45/0.69 (define @t267 () (= @t12 @t30)) % 0.45/0.69 (define @t268 () (not @t267)) % 0.45/0.69 (define @t269 () (= @t15 @t31)) % 0.45/0.69 (define @t270 () (not @t269)) % 0.45/0.69 (define @t271 () (= @t12 @t32)) % 0.45/0.69 (define @t272 () (not @t271)) % 0.45/0.69 (define @t273 () (= @t2 @t33)) % 0.45/0.69 (define @t274 () (not @t273)) % 0.45/0.69 (define @t275 () (or @t274 @t272 @t270 @t268 @t266 @t264 @t262 @t260 @t258 @t256 @t254 @t252 @t250 @t248 @t246 @t244 @t242 @t240 @t238 @t236)) % 0.45/0.69 (define @t276 () (and @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235)) % 0.45/0.69 (define @t277 () (forall @t35 (not @t276))) % 0.45/0.69 (define @t278 () (not @t277)) % 0.45/0.69 (define @t279 () (_ @t5 @t128)) % 0.45/0.69 (define @t280 () (not @t49)) % 0.45/0.69 (define @t281 () (not @t171)) % 0.45/0.69 (define @t282 () (not @t281)) % 0.45/0.69 (define @t283 () (not @t172)) % 0.45/0.69 (define @t284 () (not @t283)) % 0.45/0.69 (define @t285 () (not @t173)) % 0.45/0.69 (define @t286 () (not @t285)) % 0.45/0.69 (define @t287 () (not @t174)) % 0.45/0.69 (define @t288 () (not @t287)) % 0.45/0.69 (define @t289 () (not @t55)) % 0.45/0.69 (define @t290 () (not @t175)) % 0.45/0.69 (define @t291 () (not @t290)) % 0.45/0.69 (define @t292 () (not @t176)) % 0.45/0.70 (define @t293 () (not @t292)) % 0.45/0.70 (define @t294 () (not @t59)) % 0.45/0.70 (define @t295 () (not @t61)) % 0.45/0.70 (define @t296 () (or @t295 @t294 @t293 @t291 @t289 @t288 @t286 @t284 @t282 @t280)) % 0.45/0.70 (define @t297 () (and @t61 @t59 @t292 @t290 @t55 @t287 @t285 @t283 @t281 @t49)) % 0.45/0.70 (define @t298 () (forall @t35 (not @t297))) % 0.45/0.70 (define @t299 () (not @t298)) % 0.45/0.70 (define @t300 () (= @t2 @t64)) % 0.45/0.70 (define @t301 () (= @t2 @t67)) % 0.45/0.70 (define @t302 () (= @t12 @t86)) % 0.45/0.70 (define @t303 () (= @t12 @t89)) % 0.45/0.70 (define @t304 () (@quantifiers_skolemize @t159 0)) % 0.45/0.70 (define @t305 () (_ @t304 @t12 @t2)) % 0.45/0.70 (define @t306 () (forall @t65 (= @t305 (_ @t304 @t2 @t12)))) % 0.45/0.70 (define @t307 () (@quantifiers_skolemize @t159 1)) % 0.45/0.70 (define @t308 () (_ @t307 @t15 @t7)) % 0.45/0.70 (define @t309 () (_ @t304 @t15 @t7)) % 0.45/0.70 (define @t310 () (forall @t121 (or (not (= @t308 (_ @t307 @t309 @t308))) (not (= @t309 (_ @t304 @t309 @t308))) (not (= @t15 (_ @t307 @t309 @t15))) (not (= @t309 (_ @t304 @t309 @t15))) (not (= @t7 (_ @t307 @t309 @t7))) (not (= @t309 (_ @t304 @t309 @t7))) (not (= @t1 (_ @t307 @t309 @t1))) (not (= @t309 (_ @t304 @t309 @t1))) (not (= @t15 (_ @t307 @t15 @t1))) (not (= @t1 (_ @t304 @t15 @t1))) (not (= @t308 (_ @t307 @t15 @t308))) (not (= @t15 (_ @t304 @t15 @t308))) (not (= @t308 (_ @t307 @t7 @t1))) (not (= @t309 (_ @t304 @t7 @t1))) (not (= @t308 (_ @t307 @t7 @t308))) (not (= @t7 (_ @t304 @t7 @t308))) (not (= @t308 (_ @t307 @t1 @t308))) (not (= @t1 (_ @t304 @t1 @t308)))))) % 0.45/0.70 (define @t311 () (not @t310)) % 0.45/0.70 (define @t312 () (@quantifiers_skolemize @t159 4)) % 0.45/0.70 (define @t313 () (@quantifiers_skolemize @t159 2)) % 0.45/0.70 (define @t314 () (_ @t304 @t313 @t312)) % 0.45/0.70 (define @t315 () (@quantifiers_skolemize @t159 3)) % 0.45/0.70 (define @t316 () (_ @t307 @t315 @t314)) % 0.45/0.70 (define @t317 () (forall @t65 (= @t2 (_ @t307 @t305 @t2)))) % 0.45/0.70 (define @t318 () (not @t317)) % 0.45/0.70 (define @t319 () (_ @t307 @t12 @t2)) % 0.45/0.70 (define @t320 () (forall @t65 (= @t2 (_ @t304 @t319 @t2)))) % 0.45/0.70 (define @t321 () (not @t320)) % 0.45/0.70 (define @t322 () (forall @t65 (= @t319 (_ @t307 @t2 @t12)))) % 0.45/0.70 (define @t323 () (not @t322)) % 0.45/0.70 (define @t324 () (not @t306)) % 0.45/0.70 (define @t325 () (forall @t45 (= (_ @t304 @t305 @t37) (_ @t304 @t12 (_ @t304 @t2 @t37))))) % 0.45/0.70 (define @t326 () (not @t325)) % 0.45/0.70 (define @t327 () (forall @t87 (= @t12 (_ @t304 @t12 @t12)))) % 0.45/0.70 (define @t328 () (not @t327)) % 0.45/0.70 (define @t329 () (or @t328 @t326 @t324 (not (forall @t87 (= @t12 (_ @t307 @t12 @t12)))) (not (forall @t45 (= (_ @t307 @t319 @t37) (_ @t307 @t12 (_ @t307 @t2 @t37))))) @t323 @t321 @t318 (= (_ @t304 @t313 @t316) (_ @t307 (_ @t304 @t313 @t315) @t314)) @t311)) % 0.45/0.70 (define @t330 () (@list true)) % 0.45/0.70 (define @t331 () (@list @t329)) % 0.45/0.70 (define @t332 () (@list @t313 @t312)) % 0.45/0.70 (define @t333 () (_ @t304 @t316 @t313)) % 0.45/0.70 (define @t334 () (_ @t304 @t333 @t312)) % 0.45/0.70 (define @t335 () (_ @t304 @t316 @t314)) % 0.45/0.70 (define @t336 () (= @t334 @t335)) % 0.45/0.70 (define @t337 () (@list @t316 @t313 @t312)) % 0.45/0.70 (define @t338 () (= @t335 @t334)) % 0.45/0.70 (define @t339 () (@list @t314 @t312)) % 0.45/0.70 (define @t340 () (_ @t307 @t314 @t312)) % 0.45/0.70 (define @t341 () (_ @t304 @t340 @t312)) % 0.45/0.70 (define @t342 () (_ @t304 @t312 @t340)) % 0.45/0.70 (define @t343 () (_ @t304 @t314 @t312)) % 0.45/0.70 (define @t344 () (_ @t304 @t334 @t312)) % 0.45/0.70 (define @t345 () (_ @t304 @t314 @t314)) % 0.45/0.70 (define @t346 () (_ @t307 @t314 @t314)) % 0.45/0.70 (define @t347 () (_ @t304 @t343 @t312)) % 0.45/0.70 (define @t348 () (_ @t307 @t343 @t312)) % 0.45/0.70 (define @t349 () (= @t314 (_ @t304 @t314 @t340))) % 0.45/0.70 (define @t350 () (not @t349)) % 0.45/0.70 (define @t351 () (= @t340 (_ @t307 @t314 @t340))) % 0.45/0.70 (define @t352 () (not @t351)) % 0.45/0.70 (define @t353 () (= @t312 @t342)) % 0.45/0.70 (define @t354 () (not @t353)) % 0.45/0.70 (define @t355 () (= @t340 (_ @t307 @t312 @t340))) % 0.45/0.70 (define @t356 () (not @t355)) % 0.45/0.70 (define @t357 () (= @t343 (_ @t304 @t312 @t314))) % 0.45/0.70 (define @t358 () (not @t357)) % 0.45/0.70 (define @t359 () (= @t340 (_ @t307 @t312 @t314))) % 0.45/0.70 (define @t360 () (not @t359)) % 0.45/0.70 (define @t361 () (= @t314 @t345)) % 0.45/0.70 (define @t362 () (not @t361)) % 0.45/0.70 (define @t363 () (= @t314 @t346)) % 0.45/0.70 (define @t364 () (not @t363)) % 0.45/0.70 (define @t365 () (= @t343 (_ @t304 @t343 @t314))) % 0.45/0.70 (define @t366 () (not @t365)) % 0.45/0.70 (define @t367 () (= @t314 (_ @t307 @t343 @t314))) % 0.45/0.70 (define @t368 () (not @t367)) % 0.45/0.70 (define @t369 () (= @t343 @t347)) % 0.45/0.70 (define @t370 () (not @t369)) % 0.45/0.70 (define @t371 () (= @t312 @t348)) % 0.45/0.70 (define @t372 () (not @t371)) % 0.45/0.70 (define @t373 () (= @t343 (_ @t304 @t343 @t340))) % 0.45/0.70 (define @t374 () (not @t373)) % 0.45/0.70 (define @t375 () (= @t340 (_ @t307 @t343 @t340))) % 0.45/0.70 (define @t376 () (not @t375)) % 0.45/0.70 (define @t377 () (or @t376 @t374 @t368 @t366 @t372 @t370 @t368 @t366 @t364 @t362 @t352 @t350 @t360 @t358 @t356 @t354 @t352 @t350)) % 0.45/0.70 (define @t378 () (_ @t304 @t340 @t313)) % 0.45/0.70 (define @t379 () (_ @t304 @t312 @t378)) % 0.45/0.70 (define @t380 () (_ @t304 @t342 @t313)) % 0.45/0.70 (define @t381 () (= @t380 @t379)) % 0.45/0.70 (define @t382 () (not @t381)) % 0.45/0.70 (define @t383 () (= @t344 (_ @t304 @t333 (_ @t304 @t312 @t312)))) % 0.45/0.70 (define @t384 () (not @t383)) % 0.45/0.70 (define @t385 () (= @t312 @t341)) % 0.45/0.70 (define @t386 () (not @t385)) % 0.45/0.70 (define @t387 () (not @t338)) % 0.45/0.70 (define @t388 () (= @t312 @t340)) % 0.45/0.70 (define @t389 () (not @t388)) % 0.45/0.70 (define @t390 () (= @t314 @t335)) % 0.45/0.70 (define @t391 () (not @t390)) % 0.45/0.70 (define @t392 () (= @t314 (_ @t304 @t312 @t313))) % 0.45/0.70 (define @t393 () (not @t392)) % 0.45/0.70 (define @t394 () (and @t381 @t382)) % 0.45/0.70 (assume @p1 @t95) % 0.45/0.70 (assume @p2 true) % 0.45/0.70 (step @p3 :rule quant-merge-prenex :args ((= (forall @t93 @t161) @t159))) % 0.45/0.70 (step @p4 :rule refl :args (@t122)) % 0.45/0.70 (step @p5 :rule alpha_equiv :args (@t162 (@list @t124 @t126 @t123) (@list @t12 @t2 @t37))) % 0.45/0.70 (step @p6 :rule refl :args (@t131)) % 0.45/0.70 (step @p7 :rule refl :args (@t135)) % 0.45/0.70 (step @p8 :rule refl :args (@t138)) % 0.45/0.70 (step @p9 :rule refl :args (@t143)) % 0.45/0.70 (step @p10 :rule refl :args (@t146)) % 0.45/0.70 (step @p11 :rule refl :args (@t149)) % 0.45/0.70 (step @p12 :rule refl :args (@t154)) % 0.45/0.70 (step @p13 :rule refl :args (@t157)) % 0.45/0.70 (step @p14 :rule nary_cong :premises (@p13 @p12 @p11 @p10 @p9 @p8 @p7 @p6 @p5 @p4) :args (@t163)) % 0.45/0.70 (step @p15 :rule quant-miniscope-or :args ((= @t161 @t163))) % 0.45/0.70 (step @p16 :rule trans :premises (@p15 @p14)) % 0.45/0.70 (step @p17 :rule symm :premises (@p16)) % 0.45/0.70 (step @p18 :rule cong :premises (@p17) :args (@t170)) % 0.45/0.70 (step @p19 :rule trans :premises (@p18 @p3)) % 0.45/0.70 (step @p20 :rule refl :args (@t177)) % 0.45/0.70 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t178)) % 0.45/0.70 (step @p22 :rule quant-miniscope-or :args ((= (forall @t93 @t179) @t178))) % 0.45/0.70 (step @p23 :rule aci_norm :args ((= @t180 @t179))) % 0.45/0.70 (step @p24 :rule cong :premises (@p23) :args ((forall @t93 @t180))) % 0.45/0.70 (step @p25 :rule trans :premises (@p24 @p22)) % 0.45/0.70 (step @p26 :rule trans :premises (@p25 @p21)) % 0.45/0.70 (step @p27 :rule aci_norm :args ((= (or (or @t157 @t146 @t154 @t143 @t149 @t138 @t135 @t131 @t177 @t168) @t122) @t180))) % 0.45/0.70 (step @p28 :rule bool-double-not-elim :args (@t168)) % 0.45/0.70 (step @p29 :rule bool-double-not-elim :args (@t177)) % 0.45/0.70 (step @p30 :rule nary_cong :premises (@p13 @p10 @p12 @p9 @p11 @p8 @p7 @p6 @p29 @p28) :args (@t185)) % 0.45/0.70 (step @p31 :rule aci_norm :args ((= (or @t157 (or @t146 (or @t154 (or @t143 (or @t149 (or @t138 (or @t135 (or @t131 (or @t184 @t182))))))))) @t185))) % 0.45/0.70 (step @p32 :rule trans :premises (@p31 @p30)) % 0.45/0.70 (step @p33 :rule bool-and-de-morgan :args (@t183 @t181 true)) % 0.45/0.70 (step @p34 :rule nary_cong :premises (@p6 @p33) :args ((or @t131 (not (and @t183 @t181))))) % 0.45/0.70 (step @p35 :rule bool-and-de-morgan :args (@t130 @t183 (and @t181))) % 0.45/0.70 (step @p36 :rule trans :premises (@p35 @p34)) % 0.45/0.70 (step @p37 :rule nary_cong :premises (@p7 @p36) :args ((or @t135 (not (and @t130 @t183 @t181))))) % 0.45/0.70 (step @p38 :rule bool-and-de-morgan :args (@t134 @t130 (and @t183 @t181))) % 0.45/0.70 (step @p39 :rule trans :premises (@p38 @p37)) % 0.45/0.70 (step @p40 :rule nary_cong :premises (@p8 @p39) :args ((or @t138 (not (and @t134 @t130 @t183 @t181))))) % 0.45/0.70 (step @p41 :rule bool-and-de-morgan :args (@t137 @t134 (and @t130 @t183 @t181))) % 0.45/0.70 (step @p42 :rule trans :premises (@p41 @p40)) % 0.45/0.70 (step @p43 :rule nary_cong :premises (@p11 @p42) :args ((or @t149 (not (and @t137 @t134 @t130 @t183 @t181))))) % 0.45/0.70 (step @p44 :rule bool-and-de-morgan :args (@t148 @t137 (and @t134 @t130 @t183 @t181))) % 0.45/0.70 (step @p45 :rule trans :premises (@p44 @p43)) % 0.45/0.70 (step @p46 :rule nary_cong :premises (@p9 @p45) :args ((or @t143 (not (and @t148 @t137 @t134 @t130 @t183 @t181))))) % 0.45/0.70 (step @p47 :rule bool-and-de-morgan :args (@t142 @t148 (and @t137 @t134 @t130 @t183 @t181))) % 0.45/0.70 (step @p48 :rule trans :premises (@p47 @p46)) % 0.45/0.70 (step @p49 :rule nary_cong :premises (@p12 @p48) :args ((or @t154 (not (and @t142 @t148 @t137 @t134 @t130 @t183 @t181))))) % 0.45/0.70 (step @p50 :rule bool-and-de-morgan :args (@t153 @t142 (and @t148 @t137 @t134 @t130 @t183 @t181))) % 0.45/0.70 (step @p51 :rule trans :premises (@p50 @p49)) % 0.45/0.70 (step @p52 :rule nary_cong :premises (@p10 @p51) :args ((or @t146 (not (and @t153 @t142 @t148 @t137 @t134 @t130 @t183 @t181))))) % 0.45/0.70 (step @p53 :rule bool-and-de-morgan :args (@t145 @t153 (and @t142 @t148 @t137 @t134 @t130 @t183 @t181))) % 0.45/0.70 (step @p54 :rule trans :premises (@p53 @p52)) % 0.45/0.70 (step @p55 :rule nary_cong :premises (@p13 @p54) :args ((or @t157 (not (and @t145 @t153 @t142 @t148 @t137 @t134 @t130 @t183 @t181))))) % 0.45/0.70 (step @p56 :rule bool-and-de-morgan :args (@t156 @t145 (and @t153 @t142 @t148 @t137 @t134 @t130 @t183 @t181))) % 0.45/0.70 (step @p57 :rule trans :premises (@p56 @p55)) % 0.45/0.70 (step @p58 :rule trans :premises (@p57 @p32)) % 0.45/0.70 (step @p59 :rule nary_cong :premises (@p58 @p4) :args ((or (not @t186) @t122))) % 0.45/0.70 (step @p60 :rule trans :premises (@p59 @p27)) % 0.45/0.70 (step @p61 :rule bool-impl-elim :args (@t186 @t122)) % 0.45/0.70 (step @p62 :rule trans :premises (@p61 @p60)) % 0.45/0.70 (step @p63 :rule cong :premises (@p62) :args ((forall @t93 (=> @t186 @t122)))) % 0.45/0.70 (step @p64 :rule trans :premises (@p63 @p26)) % 0.45/0.70 (step @p65 :rule aci_norm :args ((= (or @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 false @t111 @t109 @t107 @t106 @t105 @t103 @t100 @t99 @t98 @t97) @t120))) % 0.45/0.70 (step @p66 :rule refl :args (@t97)) % 0.45/0.70 (step @p67 :rule refl :args (@t98)) % 0.45/0.70 (step @p68 :rule refl :args (@t99)) % 0.45/0.70 (step @p69 :rule refl :args (@t100)) % 0.45/0.70 (step @p70 :rule refl :args (@t103)) % 0.45/0.70 (step @p71 :rule refl :args (@t105)) % 0.45/0.70 (step @p72 :rule refl :args (@t106)) % 0.45/0.70 (step @p73 :rule refl :args (@t107)) % 0.45/0.70 (step @p74 :rule refl :args (@t109)) % 0.45/0.70 (step @p75 :rule refl :args (@t111)) % 0.45/0.70 (step @p76 :rule evaluate :args ((not true))) % 0.45/0.70 (step @p77 :rule eq-refl :args (@t102)) % 0.45/0.70 (step @p78 :rule cong :premises (@p77) :args (@t187)) % 0.45/0.70 (step @p79 :rule trans :premises (@p78 @p76)) % 0.45/0.70 (step @p80 :rule refl :args (@t112)) % 0.45/0.70 (step @p81 :rule refl :args (@t113)) % 0.45/0.70 (step @p82 :rule refl :args (@t114)) % 0.45/0.70 (step @p83 :rule refl :args (@t115)) % 0.45/0.70 (step @p84 :rule refl :args (@t116)) % 0.45/0.70 (step @p85 :rule refl :args (@t117)) % 0.45/0.70 (step @p86 :rule refl :args (@t118)) % 0.45/0.70 (step @p87 :rule refl :args (@t119)) % 0.45/0.70 (step @p88 :rule nary_cong :premises (@p87 @p86 @p85 @p84 @p83 @p82 @p81 @p80 @p79 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66) :args (@t188)) % 0.45/0.70 (step @p89 :rule trans :premises (@p88 @p65)) % 0.45/0.70 (step @p90 :rule cong :premises (@p89) :args ((forall @t121 @t188))) % 0.45/0.70 (step @p91 :rule quant-var-elim-eq :args ((= (forall @t87 @t205) @t188))) % 0.45/0.70 (step @p92 :rule aci_norm :args ((= @t206 @t205))) % 0.45/0.70 (step @p93 :rule cong :premises (@p92) :args (@t207)) % 0.45/0.70 (step @p94 :rule trans :premises (@p93 @p91)) % 0.45/0.70 (step @p95 :rule cong :premises (@p94) :args (@t208)) % 0.45/0.70 (step @p96 :rule quant-merge-prenex :args ((= @t208 @t209))) % 0.45/0.70 (step @p97 :rule symm :premises (@p96)) % 0.45/0.70 (step @p98 :rule quant_var_reordering :args ((= (forall @t210 @t206) @t209))) % 0.45/0.70 (step @p99 :rule trans :premises (@p98 @p97 @p95)) % 0.45/0.70 (step @p100 :rule trans :premises (@p99 @p90)) % 0.45/0.70 (step @p101 :rule aci_norm :args ((= (or @t204 @t203 @t202 @t200 @t198 @t196 @t194 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% 0.45/0.70 (step @p326 :rule trans :premises (@p325 @p324)) % 0.45/0.70 (step @p327 :rule refl :args (@t264)) % 0.45/0.70 (step @p328 :rule nary_cong :premises (@p327 @p326) :args ((or @t264 (not (and @t261 @t259 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235))))) % 0.45/0.70 (step @p329 :rule bool-and-de-morgan :args (@t263 @t261 (and @t259 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235))) % 0.45/0.70 (step @p330 :rule trans :premises (@p329 @p328)) % 0.45/0.70 (step @p331 :rule refl :args (@t266)) % 0.45/0.70 (step @p332 :rule nary_cong :premises (@p331 @p330) :args ((or @t266 (not (and @t263 @t261 @t259 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235))))) % 0.45/0.70 (step @p333 :rule bool-and-de-morgan :args (@t265 @t263 (and @t261 @t259 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235))) % 0.45/0.70 (step @p334 :rule trans :premises (@p333 @p332)) % 0.45/0.70 (step @p335 :rule refl :args (@t268)) % 0.45/0.70 (step @p336 :rule nary_cong :premises (@p335 @p334) :args ((or @t268 (not (and @t265 @t263 @t261 @t259 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235))))) % 0.45/0.70 (step @p337 :rule bool-and-de-morgan :args (@t267 @t265 (and @t263 @t261 @t259 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235))) % 0.45/0.70 (step @p338 :rule trans :premises (@p337 @p336)) % 0.45/0.70 (step @p339 :rule refl :args (@t270)) % 0.45/0.70 (step @p340 :rule nary_cong :premises (@p339 @p338) :args ((or @t270 (not (and @t267 @t265 @t263 @t261 @t259 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235))))) % 0.45/0.70 (step @p341 :rule bool-and-de-morgan :args (@t269 @t267 (and @t265 @t263 @t261 @t259 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235))) % 0.45/0.70 (step @p342 :rule trans :premises (@p341 @p340)) % 0.45/0.70 (step @p343 :rule refl :args (@t272)) % 0.45/0.70 (step @p344 :rule nary_cong :premises (@p343 @p342) :args ((or @t272 (not (and @t269 @t267 @t265 @t263 @t261 @t259 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235))))) % 0.45/0.70 (step @p345 :rule bool-and-de-morgan :args (@t271 @t269 (and @t267 @t265 @t263 @t261 @t259 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235))) % 0.45/0.70 (step @p346 :rule trans :premises (@p345 @p344)) % 0.45/0.70 (step @p347 :rule refl :args (@t274)) % 0.45/0.70 (step @p348 :rule nary_cong :premises (@p347 @p346) :args ((or @t274 (not (and @t271 @t269 @t267 @t265 @t263 @t261 @t259 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235))))) % 0.45/0.70 (step @p349 :rule bool-and-de-morgan :args (@t273 @t271 (and @t269 @t267 @t265 @t263 @t261 @t259 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235))) % 0.45/0.70 (step @p350 :rule trans :premises (@p349 @p348)) % 0.45/0.70 (step @p351 :rule trans :premises (@p350 @p277)) % 0.45/0.70 (step @p352 :rule cong :premises (@p351) :args (@t277)) % 0.45/0.70 (step @p353 :rule trans :premises (@p352 @p276)) % 0.45/0.70 (step @p354 :rule cong :premises (@p353) :args (@t278)) % 0.45/0.70 (step @p355 :rule exists-elim :args ((= (exists @t35 @t276) @t278))) % 0.45/0.70 (step @p356 :rule trans :premises (@p355 @p354)) % 0.45/0.70 (step @p357 :rule eq-symm :args (@t4 @t1)) % 0.45/0.70 (step @p358 :rule eq-symm :args (@t6 @t2)) % 0.45/0.70 (step @p359 :rule eq-symm :args (@t9 @t7)) % 0.45/0.70 (step @p360 :rule eq-symm :args (@t11 @t2)) % 0.45/0.70 (step @p361 :rule eq-symm :args (@t13 @t12)) % 0.45/0.70 (step @p362 :rule eq-symm :args (@t14 @t2)) % 0.45/0.70 (step @p363 :rule eq-symm :args (@t17 @t15)) % 0.45/0.70 (step @p364 :rule eq-symm :args (@t19 @t2)) % 0.45/0.70 (step @p365 :rule eq-symm :args (@t20 @t1)) % 0.45/0.70 (step @p366 :rule eq-symm :args (@t21 @t15)) % 0.45/0.70 (step @p367 :rule eq-symm :args (@t22 @t12)) % 0.45/0.70 (step @p368 :rule eq-symm :args (@t23 @t2)) % 0.45/0.70 (step @p369 :rule eq-symm :args (@t25 @t12)) % 0.45/0.70 (step @p370 :rule eq-symm :args (@t27 @t1)) % 0.45/0.70 (step @p371 :rule eq-symm :args (@t28 @t12)) % 0.45/0.70 (step @p372 :rule eq-symm :args (@t29 @t7)) % 0.45/0.70 (step @p373 :rule eq-symm :args (@t30 @t12)) % 0.45/0.70 (step @p374 :rule eq-symm :args (@t31 @t15)) % 0.45/0.70 (step @p375 :rule eq-symm :args (@t32 @t12)) % 0.45/0.70 (step @p376 :rule eq-symm :args (@t33 @t2)) % 0.45/0.70 (step @p377 :rule nary_cong :premises (@p376 @p375 @p374 @p373 @p372 @p371 @p370 @p369 @p368 @p367 @p366 @p365 @p364 @p363 @p362 @p361 @p360 @p359 @p358 @p357) :args (@t34)) % 0.45/0.70 (step @p378 :rule cong :premises (@p377) :args (@t36)) % 0.45/0.70 (step @p379 :rule trans :premises (@p378 @p356)) % 0.45/0.70 (step @p380 :rule refl :args ((_ @t5 @t32 @t38))) % 0.45/0.70 (step @p381 :rule refl :args (@t164)) % 0.45/0.70 (step @p382 :rule cong :premises (@p260 @p381) :args (@t165)) % 0.45/0.70 (step @p383 :rule trans :premises (@p382 @p380)) % 0.45/0.70 (step @p384 :rule refl :args (@t5)) % 0.45/0.70 (step @p385 :rule ho_cong :premises (@p384 @p260)) % 0.45/0.70 (step @p386 :rule ho_cong :premises (@p385 @p381)) % 0.45/0.70 (step @p387 :rule cong :premises (@p386 @p383) :args ((= (_ @t279 @t164) @t165))) % 0.45/0.70 (step @p388 :rule symm :premises (@p387)) % 0.45/0.70 (step @p389 :rule refl :args (@t40)) % 0.45/0.70 (step @p390 :rule eq_resolve :premises (@p389 @p388)) % 0.45/0.70 (step @p391 :rule refl :args (@t38)) % 0.45/0.70 (step @p392 :rule cong :premises (@p391 @p381) :args ((= @t38 @t164))) % 0.45/0.70 (step @p393 :rule symm :premises (@p392)) % 0.45/0.70 (step @p394 :rule eq_resolve :premises (@p391 @p393)) % 0.45/0.70 (step @p395 :rule ho_cong :premises (@p384 @p264)) % 0.45/0.70 (step @p396 :rule ho_cong :premises (@p395 @p394)) % 0.45/0.70 (step @p397 :rule trans :premises (@p396 @p390)) % 0.45/0.70 (step @p398 :rule refl :args ((_ @t3 @t12 @t42))) % 0.45/0.70 (step @p399 :rule refl :args ((_ 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eq_resolve :premises (@p414 @p413)) % 0.45/0.70 (step @p416 :rule ho_cong :premises (@p410 @p394)) % 0.45/0.70 (step @p417 :rule trans :premises (@p416 @p415)) % 0.45/0.70 (step @p418 :rule ho_cong :premises (@p404 @p417)) % 0.45/0.70 (step @p419 :rule trans :premises (@p418 @p409)) % 0.45/0.70 (step @p420 :rule cong :premises (@p419 @p397) :args (@t44)) % 0.45/0.70 (step @p421 :rule cong :premises (@p420) :args (@t46)) % 0.45/0.70 (step @p422 :rule cong :premises (@p421) :args (@t47)) % 0.45/0.70 (step @p423 :rule bool-double-not-elim :args (@t48)) % 0.45/0.70 (step @p424 :rule bool-double-not-elim :args (@t171)) % 0.45/0.70 (step @p425 :rule bool-double-not-elim :args (@t172)) % 0.45/0.70 (step @p426 :rule bool-double-not-elim :args (@t173)) % 0.45/0.70 (step @p427 :rule bool-double-not-elim :args (@t174)) % 0.45/0.70 (step @p428 :rule bool-double-not-elim :args (@t54)) % 0.45/0.70 (step @p429 :rule bool-double-not-elim :args (@t175)) % 0.45/0.70 (step @p430 :rule bool-double-not-elim :args (@t176)) % 0.45/0.70 (step @p431 :rule bool-double-not-elim :args (@t58)) % 0.45/0.70 (step @p432 :rule bool-double-not-elim :args (@t60)) % 0.45/0.70 (step @p433 :rule nary_cong :premises (@p432 @p431 @p430 @p429 @p428 @p427 @p426 @p425 @p424 @p423) :args (@t296)) % 0.45/0.70 (step @p434 :rule aci_norm :args ((= (or @t295 (or @t294 (or @t293 (or @t291 (or @t289 (or @t288 (or @t286 (or @t284 (or @t282 @t280))))))))) @t296))) % 0.45/0.70 (step @p435 :rule trans :premises (@p434 @p433)) % 0.45/0.70 (step @p436 :rule bool-and-de-morgan :args (@t281 @t49 true)) % 0.45/0.70 (step @p437 :rule refl :args (@t284)) % 0.45/0.70 (step @p438 :rule nary_cong :premises (@p437 @p436) :args ((or @t284 (not (and @t281 @t49))))) % 0.45/0.70 (step @p439 :rule bool-and-de-morgan :args (@t283 @t281 (and @t49))) % 0.45/0.70 (step @p440 :rule trans :premises (@p439 @p438)) % 0.45/0.70 (step @p441 :rule refl :args (@t286)) % 0.45/0.70 (step @p442 :rule nary_cong :premises (@p441 @p440) :args ((or @t286 (not (and @t283 @t281 @t49))))) % 0.45/0.70 (step @p443 :rule bool-and-de-morgan :args (@t285 @t283 (and @t281 @t49))) % 0.45/0.70 (step @p444 :rule trans :premises (@p443 @p442)) % 0.45/0.70 (step @p445 :rule refl :args (@t288)) % 0.45/0.70 (step @p446 :rule nary_cong :premises (@p445 @p444) :args ((or @t288 (not (and @t285 @t283 @t281 @t49))))) % 0.45/0.70 (step @p447 :rule bool-and-de-morgan :args (@t287 @t285 (and @t283 @t281 @t49))) % 0.45/0.70 (step @p448 :rule trans :premises (@p447 @p446)) % 0.45/0.70 (step @p449 :rule refl :args (@t289)) % 0.45/0.70 (step @p450 :rule nary_cong :premises (@p449 @p448) :args ((or @t289 (not (and @t287 @t285 @t283 @t281 @t49))))) % 0.45/0.70 (step @p451 :rule bool-and-de-morgan :args (@t55 @t287 (and @t285 @t283 @t281 @t49))) % 0.45/0.70 (step @p452 :rule trans :premises (@p451 @p450)) % 0.45/0.70 (step @p453 :rule refl :args (@t291)) % 0.45/0.70 (step @p454 :rule nary_cong :premises (@p453 @p452) :args ((or @t291 (not (and @t55 @t287 @t285 @t283 @t281 @t49))))) % 0.45/0.70 (step @p455 :rule bool-and-de-morgan :args (@t290 @t55 (and @t287 @t285 @t283 @t281 @t49))) % 0.45/0.70 (step @p456 :rule trans :premises (@p455 @p454)) % 0.45/0.70 (step @p457 :rule refl :args (@t293)) % 0.45/0.70 (step @p458 :rule nary_cong :premises (@p457 @p456) :args ((or @t293 (not (and @t290 @t55 @t287 @t285 @t283 @t281 @t49))))) % 0.45/0.70 (step @p459 :rule bool-and-de-morgan :args (@t292 @t290 (and @t55 @t287 @t285 @t283 @t281 @t49))) % 0.45/0.70 (step @p460 :rule trans :premises (@p459 @p458)) % 0.45/0.70 (step @p461 :rule refl :args (@t294)) % 0.45/0.70 (step @p462 :rule nary_cong :premises (@p461 @p460) :args ((or @t294 (not (and @t292 @t290 @t55 @t287 @t285 @t283 @t281 @t49))))) % 0.45/0.70 (step @p463 :rule bool-and-de-morgan :args (@t59 @t292 (and @t290 @t55 @t287 @t285 @t283 @t281 @t49))) % 0.45/0.70 (step @p464 :rule trans :premises (@p463 @p462)) % 0.45/0.70 (step @p465 :rule refl :args (@t295)) % 0.45/0.70 (step @p466 :rule nary_cong :premises (@p465 @p464) :args ((or @t295 (not (and @t59 @t292 @t290 @t55 @t287 @t285 @t283 @t281 @t49))))) % 0.45/0.70 (step @p467 :rule bool-and-de-morgan :args (@t61 @t59 (and @t292 @t290 @t55 @t287 @t285 @t283 @t281 @t49))) % 0.45/0.70 (step @p468 :rule trans :premises (@p467 @p466)) % 0.45/0.70 (step @p469 :rule trans :premises (@p468 @p435)) % 0.45/0.70 (step @p470 :rule cong :premises (@p469) :args (@t298)) % 0.45/0.70 (step @p471 :rule cong :premises (@p470) :args (@t299)) % 0.45/0.70 (step @p472 :rule exists-elim :args ((= (exists @t35 @t297) @t299))) % 0.45/0.70 (step @p473 :rule trans :premises (@p472 @p471)) % 0.45/0.70 (step @p474 :rule refl :args (@t49)) % 0.45/0.70 (step @p475 :rule eq-symm :args (@t1 @t2)) % 0.45/0.70 (step @p476 :rule cong :premises (@p475) :args (@t50)) % 0.45/0.70 (step @p477 :rule eq-symm :args (@t1 @t12)) % 0.45/0.70 (step @p478 :rule cong :premises (@p477) :args (@t51)) % 0.45/0.70 (step @p479 :rule eq-symm :args (@t7 @t2)) % 0.45/0.70 (step @p480 :rule cong :premises (@p479) :args (@t52)) % 0.45/0.70 (step @p481 :rule eq-symm :args (@t7 @t12)) % 0.45/0.70 (step @p482 :rule cong :premises (@p481) :args (@t53)) % 0.45/0.70 (step @p483 :rule refl :args (@t55)) % 0.45/0.70 (step @p484 :rule eq-symm :args (@t15 @t2)) % 0.45/0.70 (step @p485 :rule cong :premises (@p484) :args (@t56)) % 0.53/0.70 (step @p486 :rule eq-symm :args (@t15 @t12)) % 0.53/0.70 (step @p487 :rule cong :premises (@p486) :args (@t57)) % 0.53/0.70 (step @p488 :rule refl :args (@t59)) % 0.53/0.70 (step @p489 :rule refl :args (@t61)) % 0.53/0.70 (step @p490 :rule nary_cong :premises (@p489 @p488 @p487 @p485 @p483 @p482 @p480 @p478 @p476 @p474) :args (@t62)) % 0.53/0.70 (step @p491 :rule cong :premises (@p490) :args (@t63)) % 0.53/0.70 (step @p492 :rule trans :premises (@p491 @p473)) % 0.53/0.70 (step @p493 :rule refl :args ((_ @t5 @t32 @t2))) % 0.53/0.70 (step @p494 :rule cong :premises (@p260 @p142) :args (@t129)) % 0.53/0.70 (step 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:rule refl :args (@t313)) % 0.53/0.70 (step @p753 :rule cong :premises (@p675 @p752) :args (@t378)) % 0.53/0.70 (step @p754 :rule trans :premises (@p753 @p751)) % 0.53/0.70 (step @p755 :rule cong :premises (@p694 @p754) :args (@t379)) % 0.53/0.70 (step @p756 :rule cong :premises (@p681 @p752) :args (@t380)) % 0.53/0.70 (step @p757 :rule trans :premises (@p756 @p751 @p642 @p665 @p702 @p698 @p697)) % 0.53/0.70 (step @p758 :rule cong :premises (@p757 @p755) :args (@t381)) % 0.53/0.70 (step @p759 :rule trans :premises (@p758 @p750)) % 0.53/0.70 (step @p760 :rule symm :premises (@p759)) % 0.53/0.70 (step @p761 :rule trans :premises (@p760 @p749)) % 0.53/0.70 (step @p762 false :rule eq_resolve :premises (@p761 @p748)) % 0.53/0.70 (step-pop @p796 :rule scope :premises (@p762)) % 0.53/0.70 (step-pop @p797 :rule scope :premises (@p796)) % 0.53/0.70 (step @p763 :rule process_scope :premises (@p797) :args (false)) % 0.53/0.70 (assume-push @p798 @t392) % 0.53/0.70 (assume-push @p799 @t390) % 0.53/0.70 (assume-push @p800 @t388) % 0.53/0.70 (assume-push @p801 @t338) % 0.53/0.70 (assume-push @p802 @t385) % 0.53/0.70 (assume-push @p803 @t358) % 0.53/0.70 (assume-push @p804 @t383) % 0.53/0.70 (assume-push @p805 @t381) % 0.53/0.70 (step @p750 :rule false_intro :premises (@p735)) % 0.53/0.70 (step @p751 :rule symm :premises (@p635)) % 0.53/0.70 (step @p752 :rule refl :args (@t313)) % 0.53/0.70 (step @p753 :rule cong :premises (@p675 @p752) :args (@t378)) % 0.53/0.70 (step @p754 :rule trans :premises (@p753 @p751)) % 0.53/0.70 (step @p755 :rule cong :premises (@p694 @p754) :args (@t379)) % 0.53/0.70 (step @p756 :rule cong :premises (@p681 @p752) :args (@t380)) % 0.53/0.70 (step @p757 :rule trans :premises (@p756 @p751 @p642 @p665 @p702 @p698 @p697)) % 0.53/0.70 (step @p758 :rule cong :premises (@p757 @p755) :args (@t381)) % 0.53/0.70 (step @p774 :rule trans :premises (@p758 @p750)) % 0.53/0.70 (step @p775 :rule false_elim :premises (@p774)) % 0.53/0.70 (step @p776 :rule and_intro :premises (@p736 @p775)) % 0.53/0.70 (step-pop @p806 :rule scope :premises (@p776)) % 0.53/0.70 (step-pop @p807 :rule scope :premises (@p806)) % 0.53/0.70 (step-pop @p808 :rule scope :premises (@p807)) % 0.53/0.70 (step-pop @p809 :rule scope :premises (@p808)) % 0.53/0.70 (step-pop @p810 :rule scope :premises (@p809)) % 0.53/0.70 (step-pop @p811 :rule scope :premises (@p810)) % 0.53/0.70 (step-pop @p812 :rule scope :premises (@p811)) % 0.53/0.70 (step-pop @p813 :rule scope :premises (@p812)) % 0.53/0.70 (step @p777 :rule process_scope :premises (@p813) :args (@t394)) % 0.53/0.70 (step @p786 :rule implies_elim :premises (@p777)) % 0.53/0.70 (step @p787 :rule resolution :premises (@p786 @p763) :args (true @t394)) % 0.53/0.70 (step @p788 :rule not_and :premises (@p787)) % 0.53/0.70 (step @p789 :rule eq_resolve :premises (@p788 @p745)) % 0.53/0.70 (step @p790 :rule reordering :premises (@p789) :args ((or @t393 @t391 @t389 @t357 @t387 @t386 @t384 @t382))) % 0.53/0.70 (step @p791 false :rule chain_m_resolution :premises (@p790 @p736 @p735 @p667 @p666 @p665 @p649 @p642 @p635) :args (false (@list false true false false false false false false) (@list @t381 @t357 @t383 @t385 @t338 @t388 @t390 @t392))) % 0.53/0.70 ) % 0.53/0.70 % SZS output end Proof % 0.53/0.70 % cvc5 exiting %------------------------------------------------------------------------------