%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO500^1.008 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 09:13:00 AM UTC 2026 % Result : Theorem 0.44s 0.64s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO500^1.008 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 : Wed Jun 3 00:18:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.44/0.64 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.64 % SZS status Theorem % 0.44/0.64 % SZS output start Proof % 0.44/0.64 ( % 0.44/0.64 (declare-const tptp.f0 (-> Bool Bool)) % 0.44/0.64 (declare-const tptp.f1 (-> Bool Bool)) % 0.44/0.64 (declare-const tptp.f2 (-> Bool Bool)) % 0.44/0.64 (declare-const tptp.f3 (-> Bool Bool)) % 0.44/0.64 (declare-const tptp.f4 (-> Bool Bool)) % 0.44/0.64 (declare-const tptp.f5 (-> Bool Bool)) % 0.44/0.64 (declare-const tptp.f6 (-> Bool Bool)) % 0.44/0.64 (declare-const tptp.f7 (-> Bool Bool)) % 0.44/0.64 (declare-const tptp.x Bool) % 0.44/0.64 (define @t1 () (_ tptp.f7 tptp.x)) % 0.44/0.64 (define @t2 () (_ tptp.f7 @t1)) % 0.44/0.64 (define @t3 () (_ tptp.f7 @t2)) % 0.44/0.64 (define @t4 () (_ tptp.f6 @t3)) % 0.44/0.64 (define @t5 () (_ tptp.f5 @t4)) % 0.44/0.64 (define @t6 () (_ tptp.f5 @t5)) % 0.44/0.64 (define @t7 () (_ tptp.f5 @t6)) % 0.44/0.64 (define @t8 () (_ tptp.f4 @t7)) % 0.44/0.64 (define @t9 () (_ tptp.f3 @t8)) % 0.44/0.64 (define @t10 () (_ tptp.f3 @t9)) % 0.44/0.64 (define @t11 () (_ tptp.f3 @t10)) % 0.44/0.64 (define @t12 () (_ tptp.f2 @t11)) % 0.44/0.64 (define @t13 () (_ tptp.f1 @t12)) % 0.44/0.64 (define @t14 () (_ tptp.f1 @t13)) % 0.44/0.64 (define @t15 () (_ tptp.f1 @t14)) % 0.44/0.64 (define @t16 () (_ tptp.f6 @t1)) % 0.44/0.64 (define @t17 () (_ tptp.f6 @t16)) % 0.44/0.64 (define @t18 () (_ tptp.f6 @t17)) % 0.44/0.64 (define @t19 () (_ tptp.f5 @t18)) % 0.44/0.64 (define @t20 () (_ tptp.f4 @t19)) % 0.44/0.64 (define @t21 () (_ tptp.f4 @t20)) % 0.44/0.64 (define @t22 () (_ tptp.f4 @t21)) % 0.44/0.64 (define @t23 () (_ tptp.f3 @t22)) % 0.44/0.64 (define @t24 () (_ tptp.f2 @t23)) % 0.44/0.64 (define @t25 () (_ tptp.f2 @t24)) % 0.44/0.64 (define @t26 () (_ tptp.f2 @t25)) % 0.44/0.64 (define @t27 () (_ tptp.f1 @t26)) % 0.44/0.64 (define @t28 () (_ tptp.f0 @t27)) % 0.44/0.64 (define @t29 () (_ tptp.f0 @t28)) % 0.44/0.64 (define @t30 () (= (_ tptp.f0 @t29) (_ tptp.f0 @t15))) % 0.44/0.64 (define @t31 () (not @t30)) % 0.44/0.64 (define @t32 () (@purify @t29)) % 0.44/0.64 (define @t33 () (tptp.f0 @t32)) % 0.44/0.64 (define @t34 () (@purify @t15)) % 0.44/0.64 (define @t35 () (tptp.f0 @t34)) % 0.44/0.64 (define @t36 () (_ tptp.f0 @t34)) % 0.44/0.64 (define @t37 () (= @t15 @t34)) % 0.44/0.64 (define @t38 () (_ tptp.f0 @t32)) % 0.44/0.64 (define @t39 () (= @t29 @t32)) % 0.44/0.64 (define @t40 () (@purify @t14)) % 0.44/0.64 (define @t41 () (tptp.f1 @t40)) % 0.44/0.64 (define @t42 () (_ tptp.f1 @t40)) % 0.44/0.64 (define @t43 () (= @t14 @t40)) % 0.44/0.64 (define @t44 () (not @t34)) % 0.44/0.64 (define @t45 () (not @t32)) % 0.44/0.64 (define @t46 () (not @t35)) % 0.44/0.64 (define @t47 () (not @t33)) % 0.44/0.64 (define @t48 () (not @t47)) % 0.44/0.64 (define @t49 () (= false true)) % 0.44/0.64 (define @t50 () (and @t35 @t34 @t32 @t47)) % 0.44/0.64 (define @t51 () (@purify @t28)) % 0.44/0.64 (define @t52 () (tptp.f0 @t51)) % 0.44/0.64 (define @t53 () (_ tptp.f0 @t51)) % 0.44/0.64 (define @t54 () (= @t28 @t51)) % 0.44/0.64 (define @t55 () (not @t51)) % 0.44/0.64 (define @t56 () (not @t52)) % 0.44/0.64 (define @t57 () (not @t56)) % 0.44/0.64 (define @t58 () (and @t35 @t34 @t51 @t56)) % 0.44/0.64 (define @t59 () (@purify @t27)) % 0.44/0.64 (define @t60 () (tptp.f0 @t59)) % 0.44/0.64 (define @t61 () (_ tptp.f0 @t59)) % 0.44/0.64 (define @t62 () (= @t27 @t59)) % 0.44/0.64 (define @t63 () (not @t59)) % 0.44/0.64 (define @t64 () (not @t60)) % 0.44/0.64 (define @t65 () (not @t64)) % 0.44/0.64 (define @t66 () (and @t35 @t34 @t59 @t64)) % 0.44/0.64 (define @t67 () (@purify @t26)) % 0.44/0.64 (define @t68 () (tptp.f1 @t67)) % 0.44/0.64 (define @t69 () (_ tptp.f1 @t67)) % 0.44/0.64 (define @t70 () (= @t26 @t67)) % 0.44/0.64 (define @t71 () (@purify @t13)) % 0.44/0.64 (define @t72 () (tptp.f1 @t71)) % 0.44/0.64 (define @t73 () (_ tptp.f1 @t71)) % 0.44/0.64 (define @t74 () (= @t13 @t71)) % 0.44/0.64 (define @t75 () (not @t40)) % 0.44/0.64 (define @t76 () (not @t67)) % 0.44/0.64 (define @t77 () (not @t41)) % 0.44/0.64 (define @t78 () (not @t68)) % 0.44/0.64 (define @t79 () (not @t78)) % 0.44/0.64 (define @t80 () (and @t41 @t40 @t67 @t78)) % 0.44/0.64 (define @t81 () (@purify @t25)) % 0.44/0.64 (define @t82 () (tptp.f2 @t81)) % 0.44/0.64 (define @t83 () (_ tptp.f2 @t81)) % 0.44/0.64 (define @t84 () (= @t25 @t81)) % 0.44/0.64 (define @t85 () (@purify @t24)) % 0.44/0.64 (define @t86 () (tptp.f2 @t85)) % 0.44/0.64 (define @t87 () (_ tptp.f2 @t85)) % 0.44/0.64 (define @t88 () (= @t24 @t85)) % 0.44/0.64 (define @t89 () (not @t81)) % 0.44/0.64 (define @t90 () (@purify @t11)) % 0.44/0.64 (define @t91 () (tptp.f2 @t90)) % 0.44/0.64 (define @t92 () (not @t91)) % 0.44/0.64 (define @t93 () (not @t90)) % 0.44/0.64 (define @t94 () (not @t82)) % 0.44/0.64 (define @t95 () (not @t94)) % 0.44/0.64 (define @t96 () (= true false)) % 0.44/0.64 (define @t97 () (and @t94 @t81 @t90 @t91)) % 0.44/0.64 (define @t98 () (not @t86)) % 0.44/0.64 (define @t99 () (not @t85)) % 0.44/0.64 (define @t100 () (and @t94 @t81 @t85 @t86)) % 0.44/0.64 (define @t101 () (@purify @t10)) % 0.44/0.64 (define @t102 () (tptp.f3 @t101)) % 0.44/0.64 (define @t103 () (_ tptp.f3 @t101)) % 0.44/0.64 (define @t104 () (= @t10 @t101)) % 0.44/0.64 (define @t105 () (= @t11 @t90)) % 0.44/0.64 (define @t106 () (@purify @t23)) % 0.44/0.64 (define @t107 () (tptp.f2 @t106)) % 0.44/0.64 (define @t108 () (_ tptp.f2 @t106)) % 0.44/0.64 (define @t109 () (= @t23 @t106)) % 0.44/0.64 (define @t110 () (@purify @t9)) % 0.44/0.64 (define @t111 () (tptp.f3 @t110)) % 0.44/0.64 (define @t112 () (_ tptp.f3 @t110)) % 0.44/0.64 (define @t113 () (= @t9 @t110)) % 0.44/0.64 (define @t114 () (not @t101)) % 0.44/0.64 (define @t115 () (@purify @t22)) % 0.44/0.64 (define @t116 () (tptp.f3 @t115)) % 0.44/0.64 (define @t117 () (not @t116)) % 0.44/0.64 (define @t118 () (not @t115)) % 0.44/0.64 (define @t119 () (not @t102)) % 0.44/0.64 (define @t120 () (not @t119)) % 0.44/0.64 (define @t121 () (and @t119 @t101 @t115 @t116)) % 0.44/0.64 (define @t122 () (@purify @t21)) % 0.44/0.64 (define @t123 () (tptp.f4 @t122)) % 0.44/0.64 (define @t124 () (_ tptp.f4 @t122)) % 0.44/0.64 (define @t125 () (= @t21 @t122)) % 0.44/0.64 (define @t126 () (= @t22 @t115)) % 0.44/0.64 (define @t127 () (not @t111)) % 0.44/0.64 (define @t128 () (not @t110)) % 0.44/0.64 (define @t129 () (and @t119 @t101 @t110 @t111)) % 0.44/0.64 (define @t130 () (@purify @t8)) % 0.44/0.64 (define @t131 () (tptp.f3 @t130)) % 0.44/0.64 (define @t132 () (_ tptp.f3 @t130)) % 0.44/0.64 (define @t133 () (= @t8 @t130)) % 0.44/0.64 (define @t134 () (not @t118)) % 0.44/0.64 (define @t135 () (not @t130)) % 0.44/0.64 (define @t136 () (not @t135)) % 0.44/0.64 (define @t137 () (not @t131)) % 0.44/0.64 (define @t138 () (not @t137)) % 0.44/0.64 (define @t139 () (and @t116 @t118 @t135 @t137)) % 0.44/0.64 (define @t140 () (@purify @t7)) % 0.44/0.64 (define @t141 () (tptp.f4 @t140)) % 0.44/0.64 (define @t142 () (_ tptp.f4 @t140)) % 0.44/0.64 (define @t143 () (= @t7 @t140)) % 0.44/0.64 (define @t144 () (@purify @t20)) % 0.44/0.64 (define @t145 () (tptp.f4 @t144)) % 0.44/0.64 (define @t146 () (_ tptp.f4 @t144)) % 0.44/0.64 (define @t147 () (= @t20 @t144)) % 0.44/0.64 (define @t148 () (not @t122)) % 0.44/0.64 (define @t149 () (not @t141)) % 0.44/0.64 (define @t150 () (not @t140)) % 0.44/0.64 (define @t151 () (not @t123)) % 0.44/0.64 (define @t152 () (not @t151)) % 0.44/0.64 (define @t153 () (and @t151 @t122 @t140 @t141)) % 0.44/0.64 (define @t154 () (not @t145)) % 0.44/0.64 (define @t155 () (not @t144)) % 0.44/0.64 (define @t156 () (and @t151 @t122 @t144 @t145)) % 0.44/0.64 (define @t157 () (@purify @t6)) % 0.44/0.64 (define @t158 () (tptp.f5 @t157)) % 0.44/0.64 (define @t159 () (_ tptp.f5 @t157)) % 0.44/0.64 (define @t160 () (= @t6 @t157)) % 0.44/0.64 (define @t161 () (@purify @t19)) % 0.44/0.64 (define @t162 () (tptp.f4 @t161)) % 0.44/0.64 (define @t163 () (_ tptp.f4 @t161)) % 0.44/0.64 (define @t164 () (= @t19 @t161)) % 0.44/0.64 (define @t165 () (@purify @t5)) % 0.44/0.64 (define @t166 () (tptp.f5 @t165)) % 0.44/0.64 (define @t167 () (_ tptp.f5 @t165)) % 0.44/0.64 (define @t168 () (= @t5 @t165)) % 0.44/0.64 (define @t169 () (not @t157)) % 0.44/0.64 (define @t170 () (@purify @t18)) % 0.44/0.64 (define @t171 () (tptp.f5 @t170)) % 0.44/0.64 (define @t172 () (not @t171)) % 0.44/0.64 (define @t173 () (not @t170)) % 0.44/0.64 (define @t174 () (not @t158)) % 0.44/0.64 (define @t175 () (not @t174)) % 0.44/0.64 (define @t176 () (and @t174 @t157 @t170 @t171)) % 0.44/0.64 (define @t177 () (@purify @t17)) % 0.44/0.64 (define @t178 () (tptp.f6 @t177)) % 0.44/0.64 (define @t179 () (_ tptp.f6 @t177)) % 0.44/0.64 (define @t180 () (= @t17 @t177)) % 0.44/0.64 (define @t181 () (= @t18 @t170)) % 0.44/0.64 (define @t182 () (not @t166)) % 0.44/0.64 (define @t183 () (not @t165)) % 0.44/0.64 (define @t184 () (and @t174 @t157 @t165 @t166)) % 0.44/0.64 (define @t185 () (@purify @t4)) % 0.44/0.64 (define @t186 () (tptp.f5 @t185)) % 0.44/0.64 (define @t187 () (_ tptp.f5 @t185)) % 0.44/0.64 (define @t188 () (= @t4 @t185)) % 0.44/0.64 (define @t189 () (not @t173)) % 0.44/0.64 (define @t190 () (not @t185)) % 0.44/0.64 (define @t191 () (not @t190)) % 0.44/0.64 (define @t192 () (not @t186)) % 0.44/0.64 (define @t193 () (not @t192)) % 0.44/0.64 (define @t194 () (and @t171 @t173 @t190 @t192)) % 0.44/0.64 (define @t195 () (@purify @t3)) % 0.44/0.64 (define @t196 () (tptp.f6 @t195)) % 0.44/0.64 (define @t197 () (_ tptp.f6 @t195)) % 0.44/0.64 (define @t198 () (= @t3 @t195)) % 0.44/0.64 (define @t199 () (@purify @t16)) % 0.44/0.64 (define @t200 () (tptp.f6 @t199)) % 0.44/0.64 (define @t201 () (_ tptp.f6 @t199)) % 0.44/0.64 (define @t202 () (= @t16 @t199)) % 0.44/0.64 (define @t203 () (not @t177)) % 0.44/0.64 (define @t204 () (not @t196)) % 0.44/0.64 (define @t205 () (not @t195)) % 0.44/0.64 (define @t206 () (not @t178)) % 0.44/0.64 (define @t207 () (not @t206)) % 0.44/0.64 (define @t208 () (and @t206 @t177 @t195 @t196)) % 0.44/0.64 (define @t209 () (not @t200)) % 0.44/0.64 (define @t210 () (not @t199)) % 0.44/0.64 (define @t211 () (and @t206 @t177 @t199 @t200)) % 0.44/0.64 (define @t212 () (@purify @t2)) % 0.44/0.64 (define @t213 () (tptp.f7 @t212)) % 0.44/0.64 (define @t214 () (_ tptp.f7 @t212)) % 0.44/0.64 (define @t215 () (= @t2 @t212)) % 0.44/0.64 (define @t216 () (@purify @t1)) % 0.44/0.64 (define @t217 () (tptp.f6 @t216)) % 0.44/0.64 (define @t218 () (_ tptp.f6 @t216)) % 0.44/0.64 (define @t219 () (= @t1 @t216)) % 0.44/0.64 (define @t220 () (@purify tptp.x)) % 0.44/0.64 (define @t221 () (tptp.f7 @t220)) % 0.44/0.64 (define @t222 () (_ tptp.f7 @t220)) % 0.44/0.64 (define @t223 () (not @t216)) % 0.44/0.64 (define @t224 () (tptp.f7 @t216)) % 0.44/0.64 (define @t225 () (_ tptp.f7 @t216)) % 0.44/0.64 (define @t226 () (not @t212)) % 0.44/0.64 (define @t227 () (not @t224)) % 0.44/0.64 (define @t228 () (not @t213)) % 0.44/0.64 (define @t229 () (not @t228)) % 0.44/0.64 (define @t230 () (and @t212 @t216 @t228)) % 0.44/0.64 (define @t231 () (@list false)) % 0.44/0.64 (define @t232 () (not @t221)) % 0.44/0.64 (define @t233 () (not @t220)) % 0.44/0.64 (define @t234 () (and @t227 @t216 @t220 @t221)) % 0.44/0.64 (define @t235 () (not @t233)) % 0.44/0.64 (define @t236 () (not @t226)) % 0.44/0.64 (define @t237 () (and @t228 @t226 @t233 @t221)) % 0.44/0.64 (define @t238 () (@list true true true false)) % 0.44/0.64 (define @t239 () (not @t223)) % 0.44/0.64 (define @t240 () (not @t217)) % 0.44/0.64 (define @t241 () (not @t240)) % 0.44/0.64 (define @t242 () (not @t210)) % 0.44/0.64 (define @t243 () (and @t200 @t210 @t223 @t240)) % 0.44/0.64 (define @t244 () (@list true true true true true false)) % 0.44/0.64 (define @t245 () (not @t209)) % 0.44/0.64 (define @t246 () (and @t196 @t195 @t199 @t209)) % 0.44/0.64 (define @t247 () (and @t196 @t195 @t216 @t240)) % 0.44/0.64 (define @t248 () (not @t232)) % 0.44/0.64 (define @t249 () (and @t213 @t212 @t220 @t232)) % 0.44/0.64 (define @t250 () (and @t224 @t223 @t233 @t232)) % 0.44/0.64 (define @t251 () (and @t213 @t226 @t223)) % 0.44/0.64 (define @t252 () (not @t203)) % 0.44/0.64 (define @t253 () (not @t205)) % 0.44/0.64 (define @t254 () (and @t206 @t203 @t205 @t196)) % 0.44/0.64 (define @t255 () (@list true true true false false true true true true false)) % 0.44/0.64 (define @t256 () (not @t182)) % 0.44/0.64 (define @t257 () (and @t171 @t170 @t165 @t182)) % 0.44/0.64 (define @t258 () (and @t171 @t170 @t185 @t192)) % 0.44/0.64 (define @t259 () (not @t204)) % 0.44/0.64 (define @t260 () (and @t178 @t177 @t195 @t204)) % 0.44/0.64 (define @t261 () (and @t204 @t205 @t223)) % 0.44/0.64 (define @t262 () (and @t178 @t203 @t210 @t209)) % 0.44/0.64 (define @t263 () (and @t204 @t195 @t216 @t217)) % 0.44/0.64 (define @t264 () (not @t169)) % 0.44/0.64 (define @t265 () (and @t174 @t169 @t173 @t171)) % 0.44/0.64 (define @t266 () (@list true true true)) % 0.44/0.64 (define @t267 () (not @t161)) % 0.44/0.64 (define @t268 () (not @t267)) % 0.44/0.64 (define @t269 () (not @t162)) % 0.44/0.64 (define @t270 () (not @t269)) % 0.44/0.64 (define @t271 () (not @t155)) % 0.44/0.64 (define @t272 () (and @t145 @t155 @t267 @t269)) % 0.44/0.64 (define @t273 () (_ tptp.f5 @t170)) % 0.44/0.64 (define @t274 () (@list false true true true true true false)) % 0.44/0.64 (define @t275 () (not @t154)) % 0.44/0.64 (define @t276 () (and @t141 @t140 @t144 @t154)) % 0.44/0.64 (define @t277 () (and @t141 @t140 @t161 @t269)) % 0.44/0.64 (define @t278 () (not @t172)) % 0.44/0.64 (define @t279 () (and @t158 @t157 @t170 @t172)) % 0.44/0.64 (define @t280 () (@list false true true)) % 0.44/0.64 (define @t281 () (and @t172 @t173 @t190 @t186)) % 0.44/0.64 (define @t282 () (not @t183)) % 0.44/0.64 (define @t283 () (and @t172 @t173 @t183 @t166)) % 0.44/0.64 (define @t284 () (@list true true true true true true false)) % 0.44/0.64 (define @t285 () (and @t158 @t169 @t183 @t182)) % 0.44/0.64 (define @t286 () (and @t172 @t170 @t185 @t186)) % 0.44/0.64 (define @t287 () (@list false true false)) % 0.44/0.64 (define @t288 () (@list true false true true false false true true true true true true false)) % 0.44/0.64 (define @t289 () (not @t148)) % 0.44/0.64 (define @t290 () (not @t150)) % 0.44/0.64 (define @t291 () (and @t151 @t148 @t150 @t141)) % 0.44/0.64 (define @t292 () (not @t127)) % 0.44/0.64 (define @t293 () (and @t116 @t115 @t110 @t127)) % 0.44/0.64 (define @t294 () (and @t116 @t115 @t130 @t137)) % 0.44/0.64 (define @t295 () (not @t149)) % 0.44/0.64 (define @t296 () (and @t123 @t122 @t140 @t149)) % 0.44/0.64 (define @t297 () (and @t149 @t150 @t267)) % 0.44/0.64 (define @t298 () (and @t123 @t148 @t155 @t154)) % 0.44/0.64 (define @t299 () (and @t149 @t140 @t161 @t162)) % 0.44/0.64 (define @t300 () (@list true false true true false false true true)) % 0.44/0.64 (define @t301 () (not @t114)) % 0.44/0.64 (define @t302 () (and @t119 @t114 @t118 @t116)) % 0.44/0.64 (define @t303 () (not @t106)) % 0.44/0.64 (define @t304 () (not @t303)) % 0.44/0.64 (define @t305 () (not @t107)) % 0.44/0.64 (define @t306 () (not @t305)) % 0.44/0.64 (define @t307 () (not @t99)) % 0.44/0.64 (define @t308 () (and @t86 @t99 @t303 @t305)) % 0.44/0.64 (define @t309 () (_ tptp.f3 @t115)) % 0.44/0.64 (define @t310 () (not @t98)) % 0.44/0.64 (define @t311 () (and @t91 @t90 @t85 @t98)) % 0.44/0.64 (define @t312 () (and @t91 @t90 @t106 @t305)) % 0.44/0.64 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(step @p76 :rule symm :premises (@p75)) % 0.44/0.64 (step @p77 :rule trans :premises (@p76 @p74 @p69)) % 0.44/0.64 (step @p78 false :rule eq_resolve :premises (@p77 @p68)) % 0.44/0.64 (step-pop @p3644 :rule scope :premises (@p78)) % 0.44/0.64 (step-pop @p3645 :rule scope :premises (@p3644)) % 0.44/0.64 (step-pop @p3646 :rule scope :premises (@p3645)) % 0.44/0.64 (step-pop @p3647 :rule scope :premises (@p3646)) % 0.44/0.64 (step @p79 :rule process_scope :premises (@p3647) :args (false)) % 0.44/0.64 (assume-push @p3648 @t34) % 0.44/0.64 (assume-push @p3649 @t35) % 0.44/0.64 (assume-push @p3650 @t32) % 0.44/0.64 (assume-push @p3651 @t47) % 0.44/0.64 (step @p88 :rule and_intro :premises (@p3649 @p3648 @p3650 @p3651)) % 0.44/0.64 (step-pop @p3652 :rule scope :premises (@p88)) % 0.44/0.64 (step-pop @p3653 :rule scope :premises (@p3652)) % 0.44/0.64 (step-pop @p3654 :rule scope :premises (@p3653)) % 0.44/0.64 (step-pop @p3655 :rule scope :premises (@p3654)) % 0.44/0.64 (step @p89 :rule 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0.44/0.65 (step @p3505 :rule symm :premises (@p3504)) % 0.44/0.65 (step @p3506 :rule false_intro :premises (@p4834)) % 0.44/0.65 (step @p3507 :rule trans :premises (@p3506 @p3505)) % 0.44/0.65 (step @p3508 :rule cong :premises (@p3507) :args (@t52)) % 0.44/0.65 (step @p3509 :rule false_intro :premises (@p4835)) % 0.44/0.65 (step @p3510 :rule symm :premises (@p3509)) % 0.44/0.65 (step @p3511 :rule trans :premises (@p3510 @p3508 @p3503)) % 0.44/0.65 (step @p3512 false :rule eq_resolve :premises (@p3511 @p68)) % 0.44/0.65 (step-pop @p4836 :rule scope :premises (@p3512)) % 0.44/0.65 (step-pop @p4837 :rule scope :premises (@p4836)) % 0.44/0.65 (step-pop @p4838 :rule scope :premises (@p4837)) % 0.44/0.65 (step-pop @p4839 :rule scope :premises (@p4838)) % 0.44/0.65 (step @p3513 :rule process_scope :premises (@p4839) :args (false)) % 0.44/0.65 (assume-push @p4840 @t33) % 0.44/0.65 (assume-push @p4841 @t45) % 0.44/0.65 (assume-push @p4842 @t56) % 0.44/0.65 (assume-push @p4843 @t55) % 0.44/0.65 (step @p3522 :rule and_intro :premises (@p4840 @p4841 @p4843 @p4842)) % 0.44/0.65 (step-pop @p4844 :rule scope :premises (@p3522)) % 0.44/0.65 (step-pop @p4845 :rule scope :premises (@p4844)) % 0.44/0.65 (step-pop @p4846 :rule scope :premises (@p4845)) % 0.44/0.65 (step-pop @p4847 :rule scope :premises (@p4846)) % 0.44/0.65 (step @p3523 :rule process_scope :premises (@p4847) :args (@t364)) % 0.44/0.65 (step @p3528 :rule implies_elim :premises (@p3523)) % 0.44/0.65 (step @p3529 :rule resolution :premises (@p3528 @p3513) :args (true @t364)) % 0.44/0.65 (step @p3530 :rule not_and :premises (@p3529)) % 0.44/0.65 (step @p3531 :rule eq_resolve :premises (@p3530 @p3498)) % 0.44/0.65 (step @p3532 :rule reordering :premises (@p3531) :args ((or @t32 @t51 @t52 @t47))) % 0.44/0.65 (step @p3533 :rule equiv_elim1 :premises (@p176)) % 0.44/0.65 (step @p3534 :rule reordering :premises (@p3533) :args ((or @t60 @t55))) % 0.44/0.65 (step @p3535 :rule refl :args (@t64)) % 0.44/0.65 (step @p3536 :rule nary_cong :premises (@p62 @p179 @p3535 @p3460) :args ((or @t44 @t63 @t64 @t361))) % 0.44/0.65 (assume-push @p4848 @t46) % 0.44/0.65 (assume-push @p4849 @t34) % 0.44/0.65 (assume-push @p4850 @t59) % 0.44/0.65 (assume-push @p4851 @t60) % 0.44/0.65 (step @p350 :rule evaluate :args (@t96)) % 0.44/0.65 (step @p3541 :rule false_intro :premises (@p4848)) % 0.44/0.65 (step @p3542 :rule true_intro :premises (@p4849)) % 0.44/0.65 (step @p3543 :rule symm :premises (@p3542)) % 0.44/0.65 (step @p3544 :rule true_intro :premises (@p4850)) % 0.44/0.65 (step @p3545 :rule trans :premises (@p3544 @p3543)) % 0.44/0.65 (step @p3546 :rule cong :premises (@p3545) :args (@t60)) % 0.44/0.65 (step @p3547 :rule true_intro :premises (@p4851)) % 0.44/0.65 (step @p3548 :rule symm :premises (@p3547)) % 0.44/0.65 (step @p3549 :rule trans :premises (@p3548 @p3546 @p3541)) % 0.44/0.65 (step @p3550 false :rule eq_resolve :premises (@p3549 @p350)) % 0.44/0.65 (step-pop @p4852 :rule scope :premises (@p3550)) % 0.44/0.65 (step-pop @p4853 :rule scope :premises (@p4852)) % 0.44/0.65 (step-pop @p4854 :rule scope :premises (@p4853)) % 0.44/0.65 (step-pop @p4855 :rule scope :premises (@p4854)) % 0.44/0.65 (step @p3551 :rule process_scope :premises (@p4855) :args (false)) % 0.44/0.65 (assume-push @p4856 @t34) % 0.44/0.65 (assume-push @p4857 @t59) % 0.44/0.65 (assume-push @p4858 @t60) % 0.44/0.65 (assume-push @p4859 @t46) % 0.44/0.65 (step @p3560 :rule and_intro :premises (@p4859 @p4856 @p4857 @p4858)) % 0.44/0.65 (step-pop @p4860 :rule scope :premises (@p3560)) % 0.44/0.65 (step-pop @p4861 :rule scope :premises (@p4860)) % 0.44/0.65 (step-pop @p4862 :rule scope :premises (@p4861)) % 0.44/0.65 (step-pop @p4863 :rule scope :premises (@p4862)) % 0.44/0.65 (step @p3561 :rule process_scope :premises (@p4863) :args (@t365)) % 0.44/0.65 (step @p3566 :rule implies_elim :premises (@p3561)) % 0.44/0.65 (step @p3567 :rule resolution :premises (@p3566 @p3551) :args (true @t365)) % 0.44/0.65 (step @p3568 :rule not_and :premises (@p3567)) % 0.44/0.65 (step @p3569 :rule eq_resolve :premises (@p3568 @p3536)) % 0.44/0.65 (step @p3570 :rule reordering :premises (@p3569) :args ((or @t35 @t44 @t64 @t63))) % 0.44/0.65 (step @p3571 :rule chain_m_resolution :premises (@p2810 @p2788 @p2848 @p318 @p3129 @p2869 @p2945 @p2908 @p2907 @p235 @p3570 @p3457 @p3534 @p3532 @p3459 @p119 @p3496 @p3459 @p3457 @p58) :args (@t44 (@list true false true true false false true true true true true false false false true true false true false) (@list @t91 @t323 @t82 @t67 @t327 @t71 @t72 @t40 @t68 @t59 @t35 @t60 @t51 @t33 @t52 @t32 @t33 @t35 @t41))) % 0.44/0.65 (step @p3572 :rule chain_m_resolution :premises (@p3131 @p3571) :args (@t77 @t360 (@list @t34))) % 0.44/0.65 (step @p3573 :rule chain_m_resolution :premises (@p3342 @p3572) :args (@t78 @t360 (@list @t41))) % 0.44/0.65 (step @p3574 :rule chain_m_resolution :premises (@p3344 @p3573) :args (@t63 @t360 (@list @t68))) % 0.44/0.65 (step @p3575 :rule nary_cong :premises (@p3460 @p3346 @p3345 @p3535) :args ((or @t361 @t354 @t353 @t64))) % 0.44/0.65 (assume-push @p4864 @t46) % 0.44/0.65 (assume-push @p4865 @t44) % 0.44/0.65 (assume-push @p4866 @t63) % 0.44/0.65 (assume-push @p4867 @t46) % 0.44/0.65 (assume-push @p4868 @t44) % 0.44/0.65 (assume-push @p4869 @t63) % 0.44/0.65 (step @p3582 :rule false_intro :premises (@p4864)) % 0.44/0.65 (step @p3583 :rule false_intro :premises (@p4865)) % 0.44/0.65 (step @p3584 :rule symm :premises (@p3583)) % 0.44/0.65 (step @p3585 :rule false_intro :premises (@p4866)) % 0.44/0.65 (step @p3586 :rule trans :premises (@p3585 @p3584)) % 0.44/0.65 (step @p3587 :rule cong :premises (@p3586) :args (@t60)) % 0.44/0.65 (step @p3588 :rule trans :premises (@p3587 @p3582)) % 0.44/0.65 (step @p3589 :rule false_elim :premises (@p3588)) % 0.44/0.65 (step-pop @p4870 :rule scope :premises (@p3589)) % 0.44/0.65 (step-pop @p4871 :rule scope :premises (@p4870)) % 0.44/0.65 (step-pop @p4872 :rule scope :premises (@p4871)) % 0.44/0.65 (step @p3590 :rule process_scope :premises (@p4872) :args (@t64)) % 0.44/0.65 (step @p3594 :rule and_intro :premises (@p4864 @p4865 @p4866)) % 0.44/0.65 (step @p3595 :rule modus_ponens :premises (@p3594 @p3590)) % 0.44/0.65 (step-pop @p4873 :rule scope :premises (@p3595)) % 0.44/0.65 (step-pop @p4874 :rule scope :premises (@p4873)) % 0.44/0.65 (step-pop @p4875 :rule scope :premises (@p4874)) % 0.44/0.65 (step @p3596 :rule process_scope :premises (@p4875) :args (@t64)) % 0.44/0.65 (step @p3600 :rule implies_elim :premises (@p3596)) % 0.44/0.65 (step @p3601 :rule cnf_and_neg :args (@t366)) % 0.44/0.65 (step @p3602 :rule resolution :premises (@p3601 @p3600) :args (true @t366)) % 0.44/0.65 (step @p3603 :rule eq_resolve :premises (@p3602 @p3575)) % 0.44/0.65 (step @p3604 :rule reordering :premises (@p3603) :args ((or @t34 @t35 @t59 @t64))) % 0.44/0.65 (step @p3605 :rule chain_m_resolution :premises (@p3604 @p3571 @p3457 @p3574) :args (@t64 @t266 (@list @t34 @t35 @t59))) % 0.44/0.65 (step @p3606 :rule chain_m_resolution :premises (@p3534 @p3605) :args (@t55 @t360 (@list @t60))) % 0.44/0.65 (step @p3607 :rule nary_cong :premises (@p3460 @p3346 @p3497 @p3384) :args ((or @t361 @t354 @t363 @t56))) % 0.44/0.65 (assume-push @p4876 @t46) % 0.44/0.65 (assume-push @p4877 @t44) % 0.44/0.65 (assume-push @p4878 @t55) % 0.44/0.65 (assume-push @p4879 @t46) % 0.44/0.65 (assume-push @p4880 @t44) % 0.44/0.65 (assume-push @p4881 @t55) % 0.44/0.65 (step @p3614 :rule false_intro :premises (@p4876)) % 0.44/0.65 (step @p3615 :rule false_intro :premises (@p4877)) % 0.44/0.65 (step @p3616 :rule symm :premises (@p3615)) % 0.44/0.65 (step @p3617 :rule false_intro :premises (@p4878)) % 0.44/0.65 (step @p3618 :rule trans :premises (@p3617 @p3616)) % 0.44/0.65 (step @p3619 :rule cong :premises (@p3618) :args (@t52)) % 0.44/0.65 (step @p3620 :rule trans :premises (@p3619 @p3614)) % 0.44/0.65 (step @p3621 :rule false_elim :premises (@p3620)) % 0.44/0.65 (step-pop @p4882 :rule scope :premises (@p3621)) % 0.44/0.65 (step-pop @p4883 :rule scope :premises (@p4882)) % 0.44/0.65 (step-pop @p4884 :rule scope :premises (@p4883)) % 0.44/0.65 (step @p3622 :rule process_scope :premises (@p4884) :args (@t56)) % 0.44/0.65 (step @p3626 :rule and_intro :premises (@p4876 @p4877 @p4878)) % 0.44/0.65 (step @p3627 :rule modus_ponens :premises (@p3626 @p3622)) % 0.44/0.65 (step-pop @p4885 :rule scope :premises (@p3627)) % 0.44/0.65 (step-pop @p4886 :rule scope :premises (@p4885)) % 0.44/0.65 (step-pop @p4887 :rule scope :premises (@p4886)) % 0.44/0.65 (step @p3628 :rule process_scope :premises (@p4887) :args (@t56)) % 0.44/0.65 (step @p3632 :rule implies_elim :premises (@p3628)) % 0.44/0.65 (step @p3633 :rule cnf_and_neg :args (@t367)) % 0.44/0.65 (step @p3634 :rule resolution :premises (@p3633 @p3632) :args (true @t367)) % 0.44/0.65 (step @p3635 :rule eq_resolve :premises (@p3634 @p3607)) % 0.44/0.65 (step @p3636 :rule reordering :premises (@p3635) :args ((or @t34 @t35 @t51 @t56))) % 0.44/0.65 (step @p3637 :rule chain_m_resolution :premises (@p3636 @p3571 @p3457 @p3606) :args (@t56 @t266 (@list @t34 @t35 @t51))) % 0.44/0.65 (step @p3638 :rule chain_m_resolution :premises (@p3383 @p3637) :args (@t45 @t360 @t357)) % 0.44/0.65 (step @p3639 false :rule chain_m_resolution :premises (@p3532 @p3638 @p3637 @p3606 @p3459) :args (false @t238 (@list @t32 @t52 @t51 @t33))) % 0.44/0.65 ) % 0.44/0.65 % SZS output end Proof % 0.44/0.65 % cvc5 exiting %------------------------------------------------------------------------------