%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO500^1.007 : 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 : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:13:00 AM UTC 2026 % Result : Theorem 0.44s 0.65s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO500^1.007 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 00:18:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.50 %----Proving TH0 % 0.44/0.65 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.65 % SZS status Theorem % 0.44/0.65 % SZS output start Proof % 0.44/0.65 ( % 0.44/0.65 (declare-const tptp.f0 (-> Bool Bool)) % 0.44/0.65 (declare-const tptp.f1 (-> Bool Bool)) % 0.44/0.65 (declare-const tptp.f2 (-> Bool Bool)) % 0.44/0.65 (declare-const tptp.f3 (-> Bool Bool)) % 0.44/0.65 (declare-const tptp.f4 (-> Bool Bool)) % 0.44/0.65 (declare-const tptp.f5 (-> Bool Bool)) % 0.44/0.65 (declare-const tptp.f6 (-> Bool Bool)) % 0.44/0.65 (declare-const tptp.x Bool) % 0.44/0.65 (define @t1 () (_ tptp.f6 tptp.x)) % 0.44/0.65 (define @t2 () (_ tptp.f6 @t1)) % 0.44/0.65 (define @t3 () (_ tptp.f6 @t2)) % 0.44/0.65 (define @t4 () (_ tptp.f5 @t3)) % 0.44/0.65 (define @t5 () (_ tptp.f4 @t4)) % 0.44/0.65 (define @t6 () (_ tptp.f4 @t5)) % 0.44/0.65 (define @t7 () (_ tptp.f4 @t6)) % 0.44/0.65 (define @t8 () (_ tptp.f3 @t7)) % 0.44/0.65 (define @t9 () (_ tptp.f2 @t8)) % 0.44/0.65 (define @t10 () (_ tptp.f2 @t9)) % 0.44/0.65 (define @t11 () (_ tptp.f2 @t10)) % 0.44/0.65 (define @t12 () (_ tptp.f1 @t11)) % 0.44/0.65 (define @t13 () (_ tptp.f0 @t12)) % 0.44/0.65 (define @t14 () (_ tptp.f0 @t13)) % 0.44/0.65 (define @t15 () (_ tptp.f5 @t1)) % 0.44/0.65 (define @t16 () (_ tptp.f5 @t15)) % 0.44/0.65 (define @t17 () (_ tptp.f5 @t16)) % 0.44/0.65 (define @t18 () (_ tptp.f4 @t17)) % 0.44/0.65 (define @t19 () (_ tptp.f3 @t18)) % 0.44/0.65 (define @t20 () (_ tptp.f3 @t19)) % 0.44/0.65 (define @t21 () (_ tptp.f3 @t20)) % 0.44/0.65 (define @t22 () (_ tptp.f2 @t21)) % 0.44/0.65 (define @t23 () (_ tptp.f1 @t22)) % 0.44/0.65 (define @t24 () (_ tptp.f1 @t23)) % 0.44/0.65 (define @t25 () (_ tptp.f1 @t24)) % 0.44/0.65 (define @t26 () (= (_ tptp.f0 @t25) (_ tptp.f0 @t14))) % 0.44/0.65 (define @t27 () (not @t26)) % 0.44/0.65 (define @t28 () (@purify @t25)) % 0.44/0.65 (define @t29 () (tptp.f0 @t28)) % 0.44/0.65 (define @t30 () (@purify @t14)) % 0.44/0.65 (define @t31 () (tptp.f0 @t30)) % 0.44/0.65 (define @t32 () (_ tptp.f0 @t30)) % 0.44/0.65 (define @t33 () (= @t14 @t30)) % 0.44/0.65 (define @t34 () (_ tptp.f0 @t28)) % 0.44/0.65 (define @t35 () (= @t25 @t28)) % 0.44/0.65 (define @t36 () (@purify @t13)) % 0.44/0.65 (define @t37 () (tptp.f0 @t36)) % 0.44/0.65 (define @t38 () (_ tptp.f0 @t36)) % 0.44/0.65 (define @t39 () (= @t13 @t36)) % 0.44/0.65 (define @t40 () (not @t30)) % 0.44/0.65 (define @t41 () (not @t28)) % 0.44/0.65 (define @t42 () (not @t31)) % 0.44/0.65 (define @t43 () (not @t29)) % 0.44/0.65 (define @t44 () (not @t43)) % 0.44/0.65 (define @t45 () (= false true)) % 0.44/0.65 (define @t46 () (and @t31 @t30 @t28 @t43)) % 0.44/0.65 (define @t47 () (@purify @t24)) % 0.44/0.65 (define @t48 () (tptp.f1 @t47)) % 0.44/0.65 (define @t49 () (_ tptp.f1 @t47)) % 0.44/0.65 (define @t50 () (= @t24 @t47)) % 0.44/0.65 (define @t51 () (@purify @t23)) % 0.44/0.65 (define @t52 () (tptp.f1 @t51)) % 0.44/0.65 (define @t53 () (_ tptp.f1 @t51)) % 0.44/0.65 (define @t54 () (= @t23 @t51)) % 0.44/0.65 (define @t55 () (not @t47)) % 0.44/0.65 (define @t56 () (@purify @t11)) % 0.44/0.65 (define @t57 () (tptp.f1 @t56)) % 0.44/0.65 (define @t58 () (not @t57)) % 0.44/0.65 (define @t59 () (not @t56)) % 0.44/0.65 (define @t60 () (not @t48)) % 0.44/0.65 (define @t61 () (not @t60)) % 0.44/0.65 (define @t62 () (= true false)) % 0.44/0.65 (define @t63 () (and @t60 @t47 @t56 @t57)) % 0.44/0.65 (define @t64 () (not @t52)) % 0.44/0.65 (define @t65 () (not @t51)) % 0.44/0.65 (define @t66 () (and @t60 @t47 @t51 @t52)) % 0.44/0.65 (define @t67 () (@purify @t10)) % 0.44/0.65 (define @t68 () (tptp.f2 @t67)) % 0.44/0.65 (define @t69 () (_ tptp.f2 @t67)) % 0.44/0.65 (define @t70 () (= @t10 @t67)) % 0.44/0.65 (define @t71 () (= @t11 @t56)) % 0.44/0.65 (define @t72 () (@purify @t22)) % 0.44/0.65 (define @t73 () (tptp.f1 @t72)) % 0.44/0.65 (define @t74 () (_ tptp.f1 @t72)) % 0.44/0.65 (define @t75 () (= @t22 @t72)) % 0.44/0.65 (define @t76 () (@purify @t9)) % 0.44/0.65 (define @t77 () (tptp.f2 @t76)) % 0.44/0.65 (define @t78 () (_ tptp.f2 @t76)) % 0.44/0.65 (define @t79 () (= @t9 @t76)) % 0.44/0.65 (define @t80 () (not @t67)) % 0.44/0.65 (define @t81 () (@purify @t21)) % 0.44/0.65 (define @t82 () (tptp.f2 @t81)) % 0.44/0.65 (define @t83 () (not @t82)) % 0.44/0.65 (define @t84 () (not @t81)) % 0.44/0.65 (define @t85 () (not @t68)) % 0.44/0.65 (define @t86 () (not @t85)) % 0.44/0.65 (define @t87 () (and @t85 @t67 @t81 @t82)) % 0.44/0.65 (define @t88 () (@purify @t20)) % 0.44/0.65 (define @t89 () (tptp.f3 @t88)) % 0.44/0.65 (define @t90 () (_ tptp.f3 @t88)) % 0.44/0.65 (define @t91 () (= @t20 @t88)) % 0.44/0.65 (define @t92 () (= @t21 @t81)) % 0.44/0.65 (define @t93 () (not @t77)) % 0.44/0.65 (define @t94 () (not @t76)) % 0.44/0.65 (define @t95 () (and @t85 @t67 @t76 @t77)) % 0.44/0.65 (define @t96 () (@purify @t8)) % 0.44/0.65 (define @t97 () (tptp.f2 @t96)) % 0.44/0.65 (define @t98 () (_ tptp.f2 @t96)) % 0.44/0.65 (define @t99 () (= @t8 @t96)) % 0.44/0.65 (define @t100 () (not @t96)) % 0.44/0.65 (define @t101 () (not @t100)) % 0.44/0.65 (define @t102 () (not @t97)) % 0.44/0.65 (define @t103 () (not @t102)) % 0.44/0.65 (define @t104 () (not @t84)) % 0.44/0.65 (define @t105 () (and @t82 @t84 @t100 @t102)) % 0.44/0.65 (define @t106 () (@purify @t7)) % 0.44/0.65 (define @t107 () (tptp.f3 @t106)) % 0.44/0.65 (define @t108 () (_ tptp.f3 @t106)) % 0.44/0.65 (define @t109 () (= @t7 @t106)) % 0.44/0.65 (define @t110 () (@purify @t19)) % 0.44/0.65 (define @t111 () (tptp.f3 @t110)) % 0.44/0.65 (define @t112 () (_ tptp.f3 @t110)) % 0.44/0.65 (define @t113 () (= @t19 @t110)) % 0.44/0.65 (define @t114 () (not @t88)) % 0.44/0.65 (define @t115 () (not @t107)) % 0.44/0.65 (define @t116 () (not @t106)) % 0.44/0.65 (define @t117 () (not @t89)) % 0.44/0.65 (define @t118 () (not @t117)) % 0.44/0.65 (define @t119 () (and @t117 @t88 @t106 @t107)) % 0.44/0.65 (define @t120 () (not @t111)) % 0.44/0.65 (define @t121 () (not @t110)) % 0.44/0.65 (define @t122 () (and @t117 @t88 @t110 @t111)) % 0.44/0.65 (define @t123 () (@purify @t6)) % 0.44/0.65 (define @t124 () (tptp.f4 @t123)) % 0.44/0.65 (define @t125 () (_ tptp.f4 @t123)) % 0.44/0.65 (define @t126 () (= @t6 @t123)) % 0.44/0.65 (define @t127 () (@purify @t18)) % 0.44/0.65 (define @t128 () (tptp.f3 @t127)) % 0.44/0.65 (define @t129 () (_ tptp.f3 @t127)) % 0.44/0.65 (define @t130 () (= @t18 @t127)) % 0.44/0.65 (define @t131 () (@purify @t5)) % 0.44/0.65 (define @t132 () (tptp.f4 @t131)) % 0.44/0.65 (define @t133 () (_ tptp.f4 @t131)) % 0.44/0.65 (define @t134 () (= @t5 @t131)) % 0.44/0.65 (define @t135 () (not @t123)) % 0.44/0.65 (define @t136 () (@purify @t17)) % 0.44/0.65 (define @t137 () (tptp.f4 @t136)) % 0.44/0.65 (define @t138 () (not @t137)) % 0.44/0.65 (define @t139 () (not @t136)) % 0.44/0.65 (define @t140 () (not @t124)) % 0.44/0.65 (define @t141 () (not @t140)) % 0.44/0.65 (define @t142 () (and @t140 @t123 @t136 @t137)) % 0.44/0.65 (define @t143 () (@purify @t16)) % 0.44/0.65 (define @t144 () (tptp.f5 @t143)) % 0.44/0.65 (define @t145 () (_ tptp.f5 @t143)) % 0.44/0.65 (define @t146 () (= @t16 @t143)) % 0.44/0.65 (define @t147 () (= @t17 @t136)) % 0.44/0.65 (define @t148 () (not @t132)) % 0.44/0.65 (define @t149 () (not @t131)) % 0.44/0.65 (define @t150 () (and @t140 @t123 @t131 @t132)) % 0.44/0.65 (define @t151 () (@purify @t4)) % 0.44/0.65 (define @t152 () (tptp.f4 @t151)) % 0.44/0.65 (define @t153 () (_ tptp.f4 @t151)) % 0.44/0.65 (define @t154 () (= @t4 @t151)) % 0.44/0.65 (define @t155 () (not @t151)) % 0.44/0.65 (define @t156 () (not @t155)) % 0.44/0.65 (define @t157 () (not @t152)) % 0.44/0.65 (define @t158 () (not @t157)) % 0.44/0.65 (define @t159 () (not @t139)) % 0.44/0.65 (define @t160 () (and @t137 @t139 @t155 @t157)) % 0.44/0.65 (define @t161 () (@purify @t3)) % 0.44/0.65 (define @t162 () (tptp.f5 @t161)) % 0.44/0.65 (define @t163 () (_ tptp.f5 @t161)) % 0.44/0.65 (define @t164 () (= @t3 @t161)) % 0.44/0.65 (define @t165 () (@purify @t15)) % 0.44/0.65 (define @t166 () (tptp.f5 @t165)) % 0.44/0.65 (define @t167 () (_ tptp.f5 @t165)) % 0.44/0.65 (define @t168 () (= @t15 @t165)) % 0.44/0.65 (define @t169 () (not @t143)) % 0.44/0.65 (define @t170 () (not @t162)) % 0.44/0.65 (define @t171 () (not @t161)) % 0.44/0.65 (define @t172 () (not @t144)) % 0.44/0.65 (define @t173 () (not @t172)) % 0.44/0.65 (define @t174 () (and @t172 @t143 @t161 @t162)) % 0.44/0.65 (define @t175 () (not @t166)) % 0.44/0.65 (define @t176 () (not @t165)) % 0.44/0.65 (define @t177 () (and @t172 @t143 @t165 @t166)) % 0.44/0.65 (define @t178 () (@purify @t2)) % 0.44/0.65 (define @t179 () (tptp.f6 @t178)) % 0.44/0.65 (define @t180 () (_ tptp.f6 @t178)) % 0.44/0.65 (define @t181 () (= @t2 @t178)) % 0.44/0.65 (define @t182 () (@purify @t1)) % 0.44/0.65 (define @t183 () (tptp.f5 @t182)) % 0.44/0.65 (define @t184 () (_ tptp.f5 @t182)) % 0.44/0.65 (define @t185 () (= @t1 @t182)) % 0.44/0.65 (define @t186 () (@purify tptp.x)) % 0.44/0.65 (define @t187 () (tptp.f6 @t186)) % 0.44/0.65 (define @t188 () (_ tptp.f6 @t186)) % 0.44/0.65 (define @t189 () (not @t182)) % 0.44/0.65 (define @t190 () (tptp.f6 @t182)) % 0.44/0.65 (define @t191 () (_ tptp.f6 @t182)) % 0.44/0.65 (define @t192 () (not @t178)) % 0.44/0.65 (define @t193 () (not @t190)) % 0.44/0.65 (define @t194 () (not @t179)) % 0.44/0.65 (define @t195 () (not @t194)) % 0.44/0.65 (define @t196 () (and @t182 @t178 @t194)) % 0.44/0.65 (define @t197 () (not @t187)) % 0.44/0.65 (define @t198 () (not @t186)) % 0.44/0.65 (define @t199 () (and @t193 @t182 @t186 @t187)) % 0.44/0.65 (define @t200 () (not @t198)) % 0.44/0.65 (define @t201 () (not @t192)) % 0.44/0.65 (define @t202 () (and @t194 @t192 @t198 @t187)) % 0.44/0.65 (define @t203 () (not @t189)) % 0.44/0.65 (define @t204 () (not @t183)) % 0.44/0.65 (define @t205 () (not @t204)) % 0.44/0.65 (define @t206 () (not @t176)) % 0.44/0.65 (define @t207 () (and @t166 @t176 @t189 @t204)) % 0.44/0.65 (define @t208 () (@list true true true true true false)) % 0.44/0.65 (define @t209 () (not @t175)) % 0.44/0.65 (define @t210 () (and @t162 @t161 @t165 @t175)) % 0.44/0.65 (define @t211 () (and @t162 @t161 @t182 @t204)) % 0.44/0.65 (define @t212 () (not @t197)) % 0.44/0.65 (define @t213 () (and @t179 @t178 @t186 @t197)) % 0.44/0.65 (define @t214 () (and @t190 @t189 @t198 @t197)) % 0.44/0.65 (define @t215 () (and @t179 @t189 @t192)) % 0.44/0.65 (define @t216 () (not @t171)) % 0.44/0.65 (define @t217 () (not @t169)) % 0.44/0.65 (define @t218 () (and @t172 @t169 @t171 @t162)) % 0.44/0.65 (define @t219 () (@list true true true false false true true true true false)) % 0.44/0.65 (define @t220 () (not @t148)) % 0.44/0.65 (define @t221 () (and @t137 @t136 @t131 @t148)) % 0.44/0.65 (define @t222 () (and @t137 @t136 @t151 @t157)) % 0.44/0.65 (define @t223 () (not @t170)) % 0.44/0.65 (define @t224 () (and @t144 @t143 @t161 @t170)) % 0.44/0.65 (define @t225 () (and @t170 @t171 @t189)) % 0.44/0.65 (define @t226 () (and @t144 @t169 @t176 @t175)) % 0.44/0.65 (define @t227 () (and @t170 @t161 @t182 @t183)) % 0.44/0.65 (define @t228 () (not @t135)) % 0.44/0.65 (define @t229 () (and @t140 @t135 @t139 @t137)) % 0.44/0.65 (define @t230 () (@list true true true)) % 0.44/0.65 (define @t231 () (not @t127)) % 0.44/0.65 (define @t232 () (not @t231)) % 0.44/0.65 (define @t233 () (not @t128)) % 0.44/0.65 (define @t234 () (not @t233)) % 0.44/0.65 (define @t235 () (not @t121)) % 0.44/0.65 (define @t236 () (and @t111 @t121 @t231 @t233)) % 0.44/0.65 (define @t237 () (_ tptp.f4 @t136)) % 0.44/0.65 (define @t238 () (@list false true true true true true false)) % 0.44/0.65 (define @t239 () (not @t120)) % 0.44/0.65 (define @t240 () (and @t107 @t106 @t110 @t120)) % 0.44/0.65 (define @t241 () (and @t107 @t106 @t127 @t233)) % 0.44/0.65 (define @t242 () (not @t138)) % 0.44/0.65 (define @t243 () (and @t124 @t123 @t136 @t138)) % 0.44/0.65 (define @t244 () (@list false true true)) % 0.44/0.65 (define @t245 () (and @t138 @t139 @t155 @t152)) % 0.44/0.65 (define @t246 () (not @t149)) % 0.44/0.65 (define @t247 () (and @t138 @t139 @t149 @t132)) % 0.44/0.65 (define @t248 () (@list true true true true true true false)) % 0.44/0.65 (define @t249 () (and @t124 @t135 @t149 @t148)) % 0.44/0.65 (define @t250 () (and @t138 @t136 @t151 @t152)) % 0.44/0.65 (define @t251 () (@list false true false)) % 0.44/0.65 (define @t252 () (@list true false true true false false true true true true true true false)) % 0.44/0.65 (define @t253 () (not @t116)) % 0.44/0.65 (define @t254 () (not @t114)) % 0.44/0.65 (define @t255 () (and @t117 @t114 @t116 @t107)) % 0.44/0.65 (define @t256 () (not @t93)) % 0.44/0.65 (define @t257 () (and @t82 @t81 @t76 @t93)) % 0.44/0.65 (define @t258 () (and @t82 @t81 @t96 @t102)) % 0.44/0.65 (define @t259 () (not @t115)) % 0.44/0.65 (define @t260 () (and @t89 @t88 @t106 @t115)) % 0.44/0.65 (define @t261 () (and @t115 @t116 @t231)) % 0.44/0.65 (define @t262 () (and @t89 @t114 @t121 @t120)) % 0.44/0.65 (define @t263 () (and @t115 @t106 @t127 @t128)) % 0.44/0.65 (define @t264 () (@list true false true true false false true true)) % 0.44/0.65 (define @t265 () (not @t80)) % 0.44/0.65 (define @t266 () (and @t85 @t80 @t84 @t82)) % 0.44/0.65 (define @t267 () (not @t72)) % 0.44/0.65 (define @t268 () (not @t267)) % 0.44/0.65 (define @t269 () (not @t73)) % 0.44/0.65 (define @t270 () (not @t269)) % 0.44/0.65 (define @t271 () (not @t65)) % 0.44/0.65 (define @t272 () (and @t52 @t65 @t267 @t269)) % 0.44/0.65 (define @t273 () (_ tptp.f2 @t81)) % 0.44/0.65 (define @t274 () (not @t64)) % 0.44/0.65 (define @t275 () (and @t57 @t56 @t51 @t64)) % 0.44/0.65 (define @t276 () (and @t57 @t56 @t72 @t269)) % 0.44/0.65 (define @t277 () (not @t83)) % 0.44/0.65 (define @t278 () (and @t68 @t67 @t81 @t83)) % 0.44/0.65 (define @t279 () (and @t83 @t84 @t100 @t97)) % 0.44/0.65 (define @t280 () (not @t94)) % 0.44/0.65 (define @t281 () (and @t83 @t84 @t94 @t77)) % 0.44/0.65 (define @t282 () (and @t68 @t80 @t94 @t93)) % 0.44/0.65 (define @t283 () (and @t83 @t81 @t96 @t97)) % 0.44/0.65 (define @t284 () (not @t59)) % 0.44/0.65 (define @t285 () (not @t55)) % 0.44/0.65 (define @t286 () (and @t60 @t55 @t59 @t57)) % 0.44/0.65 (define @t287 () (@purify @t12)) % 0.44/0.65 (define @t288 () (_ tptp.f1 @t56)) % 0.44/0.65 (define @t289 () (= @t12 @t287)) % 0.44/0.65 (define @t290 () (not @t287)) % 0.44/0.65 (define @t291 () (tptp.f0 @t287)) % 0.44/0.65 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(assume-push @p3149 @t30) % 0.44/0.65 (assume-push @p3150 @t31) % 0.44/0.65 (assume-push @p3151 @t28) % 0.44/0.65 (assume-push @p3152 @t43) % 0.44/0.65 (step @p87 :rule and_intro :premises (@p3150 @p3149 @p3151 @p3152)) % 0.44/0.65 (step-pop @p3153 :rule scope :premises (@p87)) % 0.44/0.65 (step-pop @p3154 :rule scope :premises (@p3153)) % 0.44/0.65 (step-pop @p3155 :rule scope :premises (@p3154)) % 0.44/0.65 (step-pop @p3156 :rule scope :premises (@p3155)) % 0.44/0.65 (step @p88 :rule process_scope :premises (@p3156) :args (@t46)) % 0.44/0.65 (step @p93 :rule implies_elim :premises (@p88)) % 0.44/0.65 (step @p94 :rule resolution :premises (@p93 @p78) :args (true @t46)) % 0.44/0.65 (step @p95 :rule not_and :premises (@p94)) % 0.44/0.65 (step @p96 :rule eq_resolve :premises (@p95 @p62)) % 0.44/0.65 (step @p97 :rule reordering :premises (@p96) :args ((or @t29 @t42 @t40 @t41))) % 0.44/0.65 (step @p98 :rule eq-symm :args (@t48 @t28)) % 0.44/0.65 (step @p99 :rule refl :args (@t28)) % 0.44/0.65 (step @p100 :rule refl :args (@t48)) % 0.44/0.65 (step @p101 :rule refl :args (@t49)) % 0.44/0.65 (step @p102 :rule cong :premises (@p101 @p100) :args ((= @t49 @t48))) % 0.44/0.65 (step @p103 :rule symm :premises (@p102)) % 0.44/0.65 (step @p104 :rule eq_resolve :premises (@p101 @p103)) % 0.44/0.65 (step @p105 :rule eq-refl :args (@t24)) % 0.44/0.65 (step @p106 :rule skolem_intro :args (@t47)) % 0.44/0.65 (step @p107 :rule refl :args (@t24)) % 0.44/0.65 (step @p108 :rule cong :premises (@p107 @p106) :args (@t50)) % 0.44/0.65 (step @p109 :rule trans :premises (@p108 @p105)) % 0.44/0.65 (step @p110 :rule true_elim :premises (@p109)) % 0.44/0.65 (step @p111 :rule refl :args (tptp.f1)) % 0.44/0.65 (step @p112 :rule ho_cong :premises (@p111 @p110)) % 0.44/0.65 (step @p113 :rule trans :premises (@p112 @p104)) % 0.44/0.65 (step @p114 :rule cong :premises (@p113 @p99) :args (@t35)) % 0.44/0.65 (step @p115 :rule trans :premises (@p114 @p98)) % 0.44/0.65 (step @p116 :rule eq-symm :args 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(step @p183 :rule refl :args (@t65)) % 0.44/0.65 (step @p184 :rule nary_cong :premises (@p145 @p183 @p182 @p142) :args ((or @t55 @t65 @t64 @t61))) % 0.44/0.65 (assume-push @p3173 @t60) % 0.44/0.65 (assume-push @p3174 @t47) % 0.44/0.65 (assume-push @p3175 @t51) % 0.44/0.65 (assume-push @p3176 @t52) % 0.44/0.65 (step @p151 :rule evaluate :args (@t62)) % 0.44/0.65 (step @p189 :rule false_intro :premises (@p3173)) % 0.44/0.65 (step @p190 :rule true_intro :premises (@p3174)) % 0.44/0.65 (step @p191 :rule symm :premises (@p190)) % 0.44/0.65 (step @p192 :rule true_intro :premises (@p3175)) % 0.44/0.65 (step @p193 :rule trans :premises (@p192 @p191)) % 0.44/0.65 (step @p194 :rule cong :premises (@p193) :args (@t52)) % 0.44/0.65 (step @p195 :rule true_intro :premises (@p3176)) % 0.44/0.65 (step @p196 :rule symm :premises (@p195)) % 0.44/0.65 (step @p197 :rule trans :premises (@p196 @p194 @p189)) % 0.44/0.65 (step @p198 false :rule eq_resolve :premises (@p197 @p151)) % 0.44/0.65 (step-pop @p3177 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@p2931 @p57) :args (@t40 (@list true false false false true true true true false true false) (@list @t31 @t36 @t291 @t29 @t287 @t57 @t48 @t28 @t29 @t31 @t37))) % 0.44/0.66 (assume-push @p4173 @t28) % 0.44/0.66 (assume-push @p4174 @t29) % 0.44/0.66 (assume-push @p4175 @t287) % 0.44/0.66 (assume-push @p4176 @t29) % 0.44/0.66 (assume-push @p4177 @t28) % 0.44/0.66 (assume-push @p4178 @t287) % 0.44/0.66 (step @p3046 :rule true_intro :premises (@p4174)) % 0.44/0.66 (step @p3047 :rule true_intro :premises (@p4173)) % 0.44/0.66 (step @p3048 :rule symm :premises (@p3047)) % 0.44/0.66 (step @p3049 :rule true_intro :premises (@p4175)) % 0.44/0.66 (step @p3050 :rule trans :premises (@p3049 @p3048)) % 0.44/0.66 (step @p3051 :rule cong :premises (@p3050) :args (@t291)) % 0.44/0.66 (step @p3052 :rule trans :premises (@p3051 @p3046)) % 0.44/0.66 (step @p3053 :rule true_elim :premises (@p3052)) % 0.44/0.66 (step-pop @p4179 :rule scope :premises (@p3053)) % 0.44/0.66 (step-pop @p4180 :rule scope :premises (@p4179)) % 0.44/0.66 (step-pop @p4181 :rule scope :premises (@p4180)) % 0.44/0.66 (step @p3054 :rule process_scope :premises (@p4181) :args (@t291)) % 0.44/0.66 (step @p3058 :rule and_intro :premises (@p4174 @p4173 @p4175)) % 0.44/0.66 (step @p3059 :rule modus_ponens :premises (@p3058 @p3054)) % 0.44/0.66 (step-pop @p4182 :rule scope :premises (@p3059)) % 0.44/0.66 (step-pop @p4183 :rule scope :premises (@p4182)) % 0.44/0.66 (step-pop @p4184 :rule scope :premises (@p4183)) % 0.44/0.66 (step @p3060 :rule process_scope :premises (@p4184) :args (@t291)) % 0.44/0.66 (step @p3064 :rule implies_elim :premises (@p3060)) % 0.44/0.66 (step @p3065 :rule cnf_and_neg :args (@t315)) % 0.44/0.66 (step @p3066 :rule resolution :premises (@p3065 @p3064) :args (true @t315)) % 0.44/0.66 (step @p3067 :rule reordering :premises (@p3066) :args ((or @t291 @t43 @t41 @t290))) % 0.44/0.66 (step @p3068 :rule chain_m_resolution :premises (@p2709 @p3039) :args (@t298 @t310 (@list @t30))) % 0.44/0.66 (step @p3069 :rule nary_cong :premises (@p59 @p2935 @p3003 @p2710) :args ((or @t41 @t43 @t297 @t301))) % 0.44/0.66 (assume-push @p4185 @t29) % 0.44/0.66 (assume-push @p4186 @t28) % 0.44/0.66 (assume-push @p4187 @t36) % 0.44/0.66 (assume-push @p4188 @t298) % 0.44/0.66 (step @p67 :rule evaluate :args (@t45)) % 0.44/0.66 (step @p3074 :rule true_intro :premises (@p4185)) % 0.44/0.66 (step @p3075 :rule true_intro :premises (@p4186)) % 0.44/0.66 (step @p3076 :rule symm :premises (@p3075)) % 0.44/0.66 (step @p3077 :rule true_intro :premises (@p4187)) % 0.44/0.66 (step @p3078 :rule trans :premises (@p3077 @p3076)) % 0.44/0.66 (step @p3079 :rule cong :premises (@p3078) :args (@t37)) % 0.44/0.66 (step @p3080 :rule false_intro :premises (@p4188)) % 0.44/0.66 (step @p3081 :rule symm :premises (@p3080)) % 0.44/0.66 (step @p3082 :rule trans :premises (@p3081 @p3079 @p3074)) % 0.44/0.66 (step @p3083 false :rule eq_resolve :premises (@p3082 @p67)) % 0.44/0.66 (step-pop @p4189 :rule scope :premises (@p3083)) % 0.44/0.66 (step-pop @p4190 :rule scope :premises (@p4189)) % 0.44/0.66 (step-pop @p4191 :rule scope :premises (@p4190)) % 0.44/0.66 (step-pop @p4192 :rule scope :premises (@p4191)) % 0.44/0.66 (step @p3084 :rule process_scope :premises (@p4192) :args (false)) % 0.44/0.66 (assume-push @p4193 @t28) % 0.44/0.66 (assume-push @p4194 @t29) % 0.44/0.66 (assume-push @p4195 @t36) % 0.44/0.66 (assume-push @p4196 @t298) % 0.44/0.66 (step @p3093 :rule and_intro :premises (@p4194 @p4193 @p4195 @p4196)) % 0.44/0.66 (step-pop @p4197 :rule scope :premises (@p3093)) % 0.44/0.66 (step-pop @p4198 :rule scope :premises (@p4197)) % 0.44/0.66 (step-pop @p4199 :rule scope :premises (@p4198)) % 0.44/0.66 (step-pop @p4200 :rule scope :premises (@p4199)) % 0.44/0.66 (step @p3094 :rule process_scope :premises (@p4200) :args (@t316)) % 0.44/0.66 (step @p3099 :rule implies_elim :premises (@p3094)) % 0.44/0.66 (step @p3100 :rule resolution :premises (@p3099 @p3084) :args (true @t316)) % 0.44/0.66 (step @p3101 :rule not_and :premises (@p3100)) % 0.44/0.66 (step @p3102 :rule eq_resolve :premises (@p3101 @p3069)) % 0.44/0.66 (step @p3103 :rule reordering :premises (@p3102) :args ((or @t37 @t43 @t41 @t297))) % 0.44/0.66 (step @p3104 :rule chain_m_resolution :premises (@p3103 @p3068 @p2933 @p3002 @p3067 @p2933 @p2929 @p2928 @p2748) :args (@t41 (@list true false false false false false false false) (@list @t37 @t29 @t36 @t291 @t29 @t287 @t57 @t48))) % 0.44/0.66 (step @p3105 :rule nary_cong :premises (@p2935 @p2934 @p2711 @p2613) :args ((or @t43 @t311 @t302 @t294))) % 0.44/0.66 (assume-push @p4201 @t42) % 0.44/0.66 (assume-push @p4202 @t40) % 0.44/0.66 (assume-push @p4203 @t41) % 0.44/0.66 (assume-push @p4204 @t29) % 0.44/0.66 (step @p151 :rule evaluate :args (@t62)) % 0.44/0.66 (step @p3110 :rule false_intro :premises (@p4201)) % 0.44/0.66 (step @p3111 :rule false_intro :premises (@p4202)) % 0.44/0.66 (step @p3112 :rule symm :premises (@p3111)) % 0.44/0.66 (step @p3113 :rule false_intro :premises (@p4203)) % 0.44/0.66 (step @p3114 :rule trans :premises (@p3113 @p3112)) % 0.44/0.66 (step @p3115 :rule cong :premises (@p3114) :args (@t29)) % 0.44/0.66 (step @p3116 :rule true_intro :premises (@p4204)) % 0.44/0.66 (step @p3117 :rule symm :premises (@p3116)) % 0.44/0.66 (step @p3118 :rule trans :premises (@p3117 @p3115 @p3110)) % 0.44/0.66 (step @p3119 false :rule eq_resolve :premises (@p3118 @p151)) % 0.44/0.66 (step-pop @p4205 :rule scope :premises (@p3119)) % 0.44/0.66 (step-pop @p4206 :rule scope :premises (@p4205)) % 0.44/0.66 (step-pop @p4207 :rule scope :premises (@p4206)) % 0.44/0.66 (step-pop @p4208 :rule scope :premises (@p4207)) % 0.44/0.66 (step @p3120 :rule process_scope :premises (@p4208) :args (false)) % 0.44/0.66 (assume-push @p4209 @t29) % 0.44/0.66 (assume-push @p4210 @t42) % 0.44/0.66 (assume-push @p4211 @t40) % 0.44/0.66 (assume-push @p4212 @t41) % 0.44/0.66 (step @p3129 :rule and_intro :premises (@p4210 @p4211 @p4212 @p4209)) % 0.44/0.66 (step-pop @p4213 :rule scope :premises (@p3129)) % 0.44/0.66 (step-pop @p4214 :rule scope :premises (@p4213)) % 0.44/0.66 (step-pop @p4215 :rule scope :premises (@p4214)) % 0.44/0.66 (step-pop @p4216 :rule scope :premises (@p4215)) % 0.44/0.66 (step @p3130 :rule process_scope :premises (@p4216) :args (@t317)) % 0.44/0.66 (step @p3135 :rule implies_elim :premises (@p3130)) % 0.44/0.66 (step @p3136 :rule resolution :premises (@p3135 @p3120) :args (true @t317)) % 0.44/0.66 (step @p3137 :rule not_and :premises (@p3136)) % 0.44/0.66 (step @p3138 :rule eq_resolve :premises (@p3137 @p3105)) % 0.44/0.66 (step @p3139 :rule reordering :premises (@p3138) :args ((or @t30 @t31 @t28 @t43))) % 0.44/0.66 (step @p3140 false :rule chain_m_resolution :premises (@p3139 @p3104 @p3039 @p2933 @p2931) :args (false (@list true true false true) (@list @t28 @t30 @t29 @t31))) % 0.44/0.66 ) % 0.44/0.66 % SZS output end Proof % 0.44/0.66 % cvc5 exiting %------------------------------------------------------------------------------