%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO500^1.006 : 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 : n023.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 : SYO500^1.006 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 00:18:58 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----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.x Bool) % 0.44/0.65 (define @t1 () (_ tptp.f5 tptp.x)) % 0.44/0.65 (define @t2 () (_ tptp.f5 @t1)) % 0.44/0.65 (define @t3 () (_ tptp.f5 @t2)) % 0.44/0.65 (define @t4 () (_ tptp.f4 @t3)) % 0.44/0.65 (define @t5 () (_ tptp.f3 @t4)) % 0.44/0.65 (define @t6 () (_ tptp.f3 @t5)) % 0.44/0.65 (define @t7 () (_ tptp.f3 @t6)) % 0.44/0.65 (define @t8 () (_ tptp.f2 @t7)) % 0.44/0.65 (define @t9 () (_ tptp.f1 @t8)) % 0.44/0.65 (define @t10 () (_ tptp.f1 @t9)) % 0.44/0.65 (define @t11 () (_ tptp.f1 @t10)) % 0.44/0.65 (define @t12 () (_ tptp.f4 @t1)) % 0.44/0.65 (define @t13 () (_ tptp.f4 @t12)) % 0.44/0.65 (define @t14 () (_ tptp.f4 @t13)) % 0.44/0.65 (define @t15 () (_ tptp.f3 @t14)) % 0.44/0.65 (define @t16 () (_ tptp.f2 @t15)) % 0.44/0.65 (define @t17 () (_ tptp.f2 @t16)) % 0.44/0.65 (define @t18 () (_ tptp.f2 @t17)) % 0.44/0.65 (define @t19 () (_ tptp.f1 @t18)) % 0.44/0.65 (define @t20 () (_ tptp.f0 @t19)) % 0.44/0.65 (define @t21 () (_ tptp.f0 @t20)) % 0.44/0.65 (define @t22 () (= (_ tptp.f0 @t21) (_ tptp.f0 @t11))) % 0.44/0.65 (define @t23 () (not @t22)) % 0.44/0.65 (define @t24 () (@purify @t21)) % 0.44/0.65 (define @t25 () (tptp.f0 @t24)) % 0.44/0.65 (define @t26 () (@purify @t11)) % 0.44/0.65 (define @t27 () (tptp.f0 @t26)) % 0.44/0.65 (define @t28 () (_ tptp.f0 @t26)) % 0.44/0.65 (define @t29 () (= @t11 @t26)) % 0.44/0.65 (define @t30 () (_ tptp.f0 @t24)) % 0.44/0.65 (define @t31 () (= @t21 @t24)) % 0.44/0.65 (define @t32 () (@purify @t10)) % 0.44/0.65 (define @t33 () (tptp.f1 @t32)) % 0.44/0.65 (define @t34 () (_ tptp.f1 @t32)) % 0.44/0.65 (define @t35 () (= @t10 @t32)) % 0.44/0.65 (define @t36 () (not @t26)) % 0.44/0.65 (define @t37 () (not @t24)) % 0.44/0.65 (define @t38 () (not @t27)) % 0.44/0.65 (define @t39 () (not @t25)) % 0.44/0.65 (define @t40 () (not @t39)) % 0.44/0.65 (define @t41 () (= false true)) % 0.44/0.65 (define @t42 () (and @t27 @t26 @t24 @t39)) % 0.44/0.65 (define @t43 () (@purify @t20)) % 0.44/0.65 (define @t44 () (tptp.f0 @t43)) % 0.44/0.65 (define @t45 () (_ tptp.f0 @t43)) % 0.44/0.65 (define @t46 () (= @t20 @t43)) % 0.44/0.65 (define @t47 () (not @t43)) % 0.44/0.65 (define @t48 () (not @t44)) % 0.44/0.65 (define @t49 () (not @t48)) % 0.44/0.65 (define @t50 () (and @t27 @t26 @t43 @t48)) % 0.44/0.65 (define @t51 () (@purify @t19)) % 0.44/0.65 (define @t52 () (tptp.f0 @t51)) % 0.44/0.65 (define @t53 () (_ tptp.f0 @t51)) % 0.44/0.65 (define @t54 () (= @t19 @t51)) % 0.44/0.65 (define @t55 () (not @t51)) % 0.44/0.65 (define @t56 () (not @t52)) % 0.44/0.65 (define @t57 () (not @t56)) % 0.44/0.65 (define @t58 () (and @t27 @t26 @t51 @t56)) % 0.44/0.65 (define @t59 () (@purify @t18)) % 0.44/0.65 (define @t60 () (tptp.f1 @t59)) % 0.44/0.65 (define @t61 () (_ tptp.f1 @t59)) % 0.44/0.65 (define @t62 () (= @t18 @t59)) % 0.44/0.65 (define @t63 () (@purify @t9)) % 0.44/0.65 (define @t64 () (tptp.f1 @t63)) % 0.44/0.65 (define @t65 () (_ tptp.f1 @t63)) % 0.44/0.65 (define @t66 () (= @t9 @t63)) % 0.44/0.65 (define @t67 () (not @t32)) % 0.44/0.65 (define @t68 () (not @t59)) % 0.44/0.65 (define @t69 () (not @t33)) % 0.44/0.65 (define @t70 () (not @t60)) % 0.44/0.65 (define @t71 () (not @t70)) % 0.44/0.65 (define @t72 () (and @t33 @t32 @t59 @t70)) % 0.44/0.65 (define @t73 () (@purify @t17)) % 0.44/0.65 (define @t74 () (tptp.f2 @t73)) % 0.44/0.65 (define @t75 () (_ tptp.f2 @t73)) % 0.44/0.65 (define @t76 () (= @t17 @t73)) % 0.44/0.65 (define @t77 () (@purify @t16)) % 0.44/0.65 (define @t78 () (tptp.f2 @t77)) % 0.44/0.65 (define @t79 () (_ tptp.f2 @t77)) % 0.44/0.65 (define @t80 () (= @t16 @t77)) % 0.44/0.65 (define @t81 () (not @t73)) % 0.44/0.65 (define @t82 () (@purify @t7)) % 0.44/0.65 (define @t83 () (tptp.f2 @t82)) % 0.44/0.65 (define @t84 () (not @t83)) % 0.44/0.65 (define @t85 () (not @t82)) % 0.44/0.65 (define @t86 () (not @t74)) % 0.44/0.65 (define @t87 () (not @t86)) % 0.44/0.65 (define @t88 () (= true false)) % 0.44/0.65 (define @t89 () (and @t86 @t73 @t82 @t83)) % 0.44/0.65 (define @t90 () (not @t78)) % 0.44/0.65 (define @t91 () (not @t77)) % 0.44/0.65 (define @t92 () (and @t86 @t73 @t77 @t78)) % 0.44/0.65 (define @t93 () (@purify @t6)) % 0.44/0.65 (define @t94 () (tptp.f3 @t93)) % 0.44/0.65 (define @t95 () (_ tptp.f3 @t93)) % 0.44/0.65 (define @t96 () (= @t6 @t93)) % 0.44/0.65 (define @t97 () (= @t7 @t82)) % 0.44/0.65 (define @t98 () (@purify @t15)) % 0.44/0.65 (define @t99 () (tptp.f2 @t98)) % 0.44/0.65 (define @t100 () (_ tptp.f2 @t98)) % 0.44/0.65 (define @t101 () (= @t15 @t98)) % 0.44/0.65 (define @t102 () (@purify @t5)) % 0.44/0.65 (define @t103 () (tptp.f3 @t102)) % 0.44/0.65 (define @t104 () (_ tptp.f3 @t102)) % 0.44/0.65 (define @t105 () (= @t5 @t102)) % 0.44/0.65 (define @t106 () (not @t93)) % 0.44/0.65 (define @t107 () (@purify @t14)) % 0.44/0.65 (define @t108 () (tptp.f3 @t107)) % 0.44/0.65 (define @t109 () (not @t108)) % 0.44/0.65 (define @t110 () (not @t107)) % 0.44/0.65 (define @t111 () (not @t94)) % 0.44/0.65 (define @t112 () (not @t111)) % 0.44/0.65 (define @t113 () (and @t111 @t93 @t107 @t108)) % 0.44/0.65 (define @t114 () (@purify @t13)) % 0.44/0.65 (define @t115 () (tptp.f4 @t114)) % 0.44/0.65 (define @t116 () (_ tptp.f4 @t114)) % 0.44/0.65 (define @t117 () (= @t13 @t114)) % 0.44/0.65 (define @t118 () (= @t14 @t107)) % 0.44/0.65 (define @t119 () (not @t103)) % 0.44/0.65 (define @t120 () (not @t102)) % 0.44/0.65 (define @t121 () (and @t111 @t93 @t102 @t103)) % 0.44/0.65 (define @t122 () (@purify @t4)) % 0.44/0.65 (define @t123 () (tptp.f3 @t122)) % 0.44/0.65 (define @t124 () (_ tptp.f3 @t122)) % 0.44/0.65 (define @t125 () (= @t4 @t122)) % 0.44/0.65 (define @t126 () (not @t110)) % 0.44/0.65 (define @t127 () (not @t122)) % 0.44/0.65 (define @t128 () (not @t127)) % 0.44/0.65 (define @t129 () (not @t123)) % 0.44/0.65 (define @t130 () (not @t129)) % 0.44/0.65 (define @t131 () (and @t108 @t110 @t127 @t129)) % 0.44/0.65 (define @t132 () (@purify @t3)) % 0.44/0.65 (define @t133 () (tptp.f4 @t132)) % 0.44/0.65 (define @t134 () (_ tptp.f4 @t132)) % 0.44/0.65 (define @t135 () (= @t3 @t132)) % 0.44/0.65 (define @t136 () (@purify @t12)) % 0.44/0.65 (define @t137 () (tptp.f4 @t136)) % 0.44/0.65 (define @t138 () (_ tptp.f4 @t136)) % 0.44/0.65 (define @t139 () (= @t12 @t136)) % 0.44/0.65 (define @t140 () (not @t114)) % 0.44/0.65 (define @t141 () (not @t133)) % 0.44/0.65 (define @t142 () (not @t132)) % 0.44/0.65 (define @t143 () (not @t115)) % 0.44/0.65 (define @t144 () (not @t143)) % 0.44/0.65 (define @t145 () (and @t143 @t114 @t132 @t133)) % 0.44/0.65 (define @t146 () (not @t137)) % 0.44/0.65 (define @t147 () (not @t136)) % 0.44/0.65 (define @t148 () (and @t143 @t114 @t136 @t137)) % 0.44/0.65 (define @t149 () (@purify @t2)) % 0.44/0.65 (define @t150 () (tptp.f5 @t149)) % 0.44/0.65 (define @t151 () (_ tptp.f5 @t149)) % 0.44/0.65 (define @t152 () (= @t2 @t149)) % 0.44/0.65 (define @t153 () (@purify @t1)) % 0.44/0.65 (define @t154 () (tptp.f4 @t153)) % 0.44/0.65 (define @t155 () (_ tptp.f4 @t153)) % 0.44/0.65 (define @t156 () (= @t1 @t153)) % 0.44/0.65 (define @t157 () (@purify tptp.x)) % 0.44/0.65 (define @t158 () (tptp.f5 @t157)) % 0.44/0.65 (define @t159 () (_ tptp.f5 @t157)) % 0.44/0.65 (define @t160 () (not @t153)) % 0.44/0.65 (define @t161 () (tptp.f5 @t153)) % 0.44/0.65 (define @t162 () (_ tptp.f5 @t153)) % 0.44/0.65 (define @t163 () (not @t149)) % 0.44/0.65 (define @t164 () (not @t161)) % 0.44/0.65 (define @t165 () (not @t150)) % 0.44/0.65 (define @t166 () (not @t165)) % 0.44/0.65 (define @t167 () (and @t149 @t153 @t165)) % 0.44/0.65 (define @t168 () (@list false)) % 0.44/0.65 (define @t169 () (not @t158)) % 0.44/0.65 (define @t170 () (not @t157)) % 0.44/0.65 (define @t171 () (and @t164 @t153 @t157 @t158)) % 0.44/0.65 (define @t172 () (not @t170)) % 0.44/0.65 (define @t173 () (not @t163)) % 0.44/0.65 (define @t174 () (and @t165 @t163 @t170 @t158)) % 0.44/0.65 (define @t175 () (@list true true true false)) % 0.44/0.65 (define @t176 () (not @t160)) % 0.44/0.65 (define @t177 () (not @t154)) % 0.44/0.65 (define @t178 () (not @t177)) % 0.44/0.65 (define @t179 () (not @t147)) % 0.44/0.65 (define @t180 () (and @t137 @t147 @t160 @t177)) % 0.44/0.65 (define @t181 () (@list true true true true true false)) % 0.44/0.65 (define @t182 () (not @t146)) % 0.44/0.65 (define @t183 () (and @t133 @t132 @t136 @t146)) % 0.44/0.65 (define @t184 () (and @t133 @t132 @t153 @t177)) % 0.44/0.65 (define @t185 () (not @t169)) % 0.44/0.65 (define @t186 () (and @t150 @t149 @t157 @t169)) % 0.44/0.65 (define @t187 () (and @t161 @t160 @t170 @t169)) % 0.44/0.65 (define @t188 () (and @t150 @t163 @t160)) % 0.44/0.65 (define @t189 () (not @t140)) % 0.44/0.65 (define @t190 () (not @t142)) % 0.44/0.65 (define @t191 () (and @t143 @t140 @t142 @t133)) % 0.44/0.65 (define @t192 () (not @t119)) % 0.44/0.65 (define @t193 () (and @t108 @t107 @t102 @t119)) % 0.44/0.65 (define @t194 () (and @t108 @t107 @t122 @t129)) % 0.44/0.65 (define @t195 () (not @t141)) % 0.44/0.65 (define @t196 () (and @t115 @t114 @t132 @t141)) % 0.44/0.65 (define @t197 () (and @t141 @t142 @t160)) % 0.44/0.65 (define @t198 () (and @t115 @t140 @t147 @t146)) % 0.44/0.65 (define @t199 () (and @t141 @t132 @t153 @t154)) % 0.44/0.65 (define @t200 () (not @t106)) % 0.44/0.65 (define @t201 () (and @t111 @t106 @t110 @t108)) % 0.44/0.65 (define @t202 () (@list true true true)) % 0.44/0.65 (define @t203 () (not @t98)) % 0.44/0.65 (define @t204 () (not @t203)) % 0.44/0.65 (define @t205 () (not @t99)) % 0.44/0.65 (define @t206 () (not @t205)) % 0.44/0.65 (define @t207 () (not @t91)) % 0.44/0.65 (define @t208 () (and @t78 @t91 @t203 @t205)) % 0.44/0.65 (define @t209 () (_ tptp.f3 @t107)) % 0.44/0.65 (define @t210 () (@list false true true true true true false)) % 0.44/0.65 (define @t211 () (not @t90)) % 0.44/0.65 (define @t212 () (and @t83 @t82 @t77 @t90)) % 0.44/0.65 (define @t213 () (and @t83 @t82 @t98 @t205)) % 0.44/0.65 (define @t214 () (not @t109)) % 0.44/0.65 (define @t215 () (and @t94 @t93 @t107 @t109)) % 0.44/0.65 (define @t216 () (and @t109 @t110 @t127 @t123)) % 0.44/0.65 (define @t217 () (not @t120)) % 0.44/0.65 (define @t218 () (and @t109 @t110 @t120 @t103)) % 0.44/0.65 (define @t219 () (@list true true true true true true false)) % 0.44/0.65 (define @t220 () (and @t94 @t106 @t120 @t119)) % 0.44/0.65 (define @t221 () (and @t109 @t107 @t122 @t123)) % 0.44/0.65 (define @t222 () (@list false true false)) % 0.44/0.65 (define @t223 () (not @t81)) % 0.44/0.65 (define @t224 () (not @t85)) % 0.44/0.65 (define @t225 () (and @t86 @t81 @t85 @t83)) % 0.44/0.65 (define @t226 () (@purify @t8)) % 0.44/0.65 (define @t227 () (_ tptp.f2 @t82)) % 0.44/0.65 (define @t228 () (= @t8 @t226)) % 0.44/0.65 (define @t229 () (not @t226)) % 0.44/0.65 (define @t230 () (tptp.f1 @t226)) % 0.44/0.65 (define @t231 () (not @t230)) % 0.44/0.65 (define @t232 () (not @t68)) % 0.44/0.65 (define @t233 () (not @t229)) % 0.44/0.65 (define @t234 () (and @t70 @t68 @t229 @t230)) % 0.44/0.65 (define @t235 () (_ tptp.f1 @t226)) % 0.44/0.65 (define @t236 () (not @t63)) % 0.44/0.65 (define @t237 () (not @t64)) % 0.44/0.65 (define @t238 () (not @t236)) % 0.44/0.65 (define @t239 () (and @t70 @t68 @t236 @t64)) % 0.44/0.65 (define @t240 () (not @t237)) % 0.44/0.65 (define @t241 () (not @t67)) % 0.44/0.65 (define @t242 () (and @t33 @t67 @t236 @t237)) % 0.44/0.65 (define @t243 () (and @t70 @t59 @t226 @t230)) % 0.44/0.65 (define @t244 () (not @t84)) % 0.44/0.65 (define @t245 () (and @t74 @t73 @t82 @t84)) % 0.44/0.65 (define @t246 () (and @t84 @t85 @t203)) % 0.44/0.65 (define @t247 () (and @t74 @t81 @t91 @t90)) % 0.44/0.65 (define @t248 () (and @t84 @t82 @t98 @t99)) % 0.44/0.65 (define @t249 () (@list true false true true false false true true)) % 0.44/0.65 (define @t250 () (not @t69)) % 0.44/0.65 (define @t251 () (and @t69 @t32 @t59 @t60)) % 0.44/0.65 (define @t252 () (and @t69 @t32 @t63 @t64)) % 0.44/0.65 (define @t253 () (and @t64 @t236 @t229 @t231)) % 0.44/0.65 (define @t254 () (and @t226 @t59 @t60)) % 0.44/0.65 (define @t255 () (and @t60 @t59 @t63 @t237)) % 0.44/0.65 (define @t256 () (and @t69 @t67 @t68 @t60)) % 0.44/0.65 (define @t257 () (not @t55)) % 0.44/0.65 (define @t258 () (not @t36)) % 0.44/0.65 (define @t259 () (and @t27 @t36 @t55 @t56)) % 0.44/0.65 (define @t260 () (and @t39 @t24 @t43 @t44)) % 0.44/0.65 (define @t261 () (@list @t44)) % 0.44/0.65 (define @t262 () (not @t37)) % 0.44/0.65 (define @t263 () (and @t27 @t36 @t37 @t39)) % 0.44/0.65 (define @t264 () (@list true)) % 0.44/0.65 (define @t265 () (not @t38)) % 0.44/0.65 (define @t266 () (and @t38 @t26 @t24 @t25)) % 0.44/0.65 (define @t267 () (not @t47)) % 0.44/0.65 (define @t268 () (and @t25 @t37 @t47 @t48)) % 0.44/0.65 (define @t269 () (and @t38 @t26 @t51 @t52)) % 0.44/0.65 (define @t270 () (and @t38 @t36 @t55)) % 0.44/0.65 (define @t271 () (and @t38 @t36 @t47)) % 0.44/0.65 (assume @p1 @t23) % 0.44/0.65 (assume @p2 true) % 0.44/0.65 (step @p3 :rule eq-symm :args (@t25 @t27)) % 0.44/0.65 (step @p4 :rule refl :args (@t27)) % 0.44/0.65 (step @p5 :rule refl :args (@t28)) % 0.44/0.65 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t28 @t27))) % 0.44/0.65 (step @p7 :rule symm :premises (@p6)) % 0.44/0.65 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.44/0.65 (step @p9 :rule eq-refl :args (@t11)) % 0.44/0.65 (step @p10 :rule skolem_intro :args (@t26)) % 0.44/0.65 (step @p11 :rule refl :args (@t11)) % 0.44/0.65 (step @p12 :rule cong :premises (@p11 @p10) :args (@t29)) % 0.44/0.65 (step @p13 :rule trans :premises (@p12 @p9)) % 0.44/0.65 (step @p14 :rule true_elim :premises (@p13)) % 0.44/0.65 (step @p15 :rule refl :args (tptp.f0)) % 0.44/0.65 (step @p16 :rule ho_cong :premises (@p15 @p14)) % 0.44/0.65 (step @p17 :rule trans :premises (@p16 @p8)) % 0.44/0.65 (step @p18 :rule refl :args (@t25)) % 0.44/0.65 (step @p19 :rule refl :args (@t30)) % 0.44/0.65 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t30 @t25))) % 0.44/0.65 (step @p21 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:args ((or @t36 @t38 @t47 @t49))) % 0.44/0.65 (assume-push @p2696 @t27) % 0.44/0.65 (assume-push @p2697 @t26) % 0.44/0.65 (assume-push @p2698 @t43) % 0.44/0.65 (assume-push @p2699 @t48) % 0.44/0.65 (step @p68 :rule evaluate :args (@t41)) % 0.44/0.65 (step @p127 :rule true_intro :premises (@p2696)) % 0.44/0.65 (step @p128 :rule true_intro :premises (@p2697)) % 0.44/0.65 (step @p129 :rule symm :premises (@p128)) % 0.44/0.65 (step @p130 :rule true_intro :premises (@p2698)) % 0.44/0.65 (step @p131 :rule trans :premises (@p130 @p129)) % 0.44/0.65 (step @p132 :rule cong :premises (@p131) :args (@t44)) % 0.44/0.65 (step @p133 :rule false_intro :premises (@p2699)) % 0.44/0.65 (step @p134 :rule symm :premises (@p133)) % 0.44/0.65 (step @p135 :rule trans :premises (@p134 @p132 @p127)) % 0.44/0.65 (step @p136 false :rule eq_resolve :premises (@p135 @p68)) % 0.44/0.65 (step-pop @p2700 :rule scope :premises (@p136)) % 0.44/0.65 (step-pop @p2701 :rule scope :premises (@p2700)) % 0.44/0.65 (step-pop 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(assume-push @p3510 @t37) % 0.44/0.66 (assume-push @p3511 @t39) % 0.44/0.66 (step @p68 :rule evaluate :args (@t41)) % 0.44/0.66 (step @p2467 :rule true_intro :premises (@p3508)) % 0.44/0.66 (step @p2468 :rule false_intro :premises (@p3509)) % 0.44/0.66 (step @p2469 :rule symm :premises (@p2468)) % 0.44/0.66 (step @p2470 :rule false_intro :premises (@p3510)) % 0.44/0.66 (step @p2471 :rule trans :premises (@p2470 @p2469)) % 0.44/0.66 (step @p2472 :rule cong :premises (@p2471) :args (@t25)) % 0.44/0.66 (step @p2473 :rule false_intro :premises (@p3511)) % 0.44/0.66 (step @p2474 :rule symm :premises (@p2473)) % 0.44/0.66 (step @p2475 :rule trans :premises (@p2474 @p2472 @p2467)) % 0.44/0.66 (step @p2476 false :rule eq_resolve :premises (@p2475 @p68)) % 0.44/0.66 (step-pop @p3512 :rule scope :premises (@p2476)) % 0.44/0.66 (step-pop @p3513 :rule scope :premises (@p3512)) % 0.44/0.66 (step-pop @p3514 :rule scope :premises (@p3513)) % 0.44/0.66 (step-pop @p3515 :rule scope :premises (@p3514)) % 0.44/0.66 (step @p2477 :rule process_scope :premises (@p3515) :args (false)) % 0.44/0.66 (assume-push @p3516 @t27) % 0.44/0.66 (assume-push @p3517 @t39) % 0.44/0.66 (assume-push @p3518 @t36) % 0.44/0.66 (assume-push @p3519 @t37) % 0.44/0.66 (step @p2486 :rule and_intro :premises (@p3516 @p3518 @p3519 @p3517)) % 0.44/0.66 (step-pop @p3520 :rule scope :premises (@p2486)) % 0.44/0.66 (step-pop @p3521 :rule scope :premises (@p3520)) % 0.44/0.66 (step-pop @p3522 :rule scope :premises (@p3521)) % 0.44/0.66 (step-pop @p3523 :rule scope :premises (@p3522)) % 0.44/0.66 (step @p2487 :rule process_scope :premises (@p3523) :args (@t263)) % 0.44/0.66 (step @p2492 :rule implies_elim :premises (@p2487)) % 0.44/0.66 (step @p2493 :rule resolution :premises (@p2492 @p2477) :args (true @t263)) % 0.44/0.66 (step @p2494 :rule not_and :premises (@p2493)) % 0.44/0.66 (step @p2495 :rule eq_resolve :premises (@p2494 @p2462)) % 0.44/0.66 (step @p2496 :rule reordering :premises (@p2495) :args ((or @t26 @t24 @t25 @t38))) % 0.44/0.66 (step @p2497 :rule chain_m_resolution :premises (@p2496 @p2460 @p177 @p2421 @p2384 @p2382 @p2171 @p2170 @p35) :args (@t38 (@list true false false true true true true true) (@list @t24 @t43 @t52 @t51 @t60 @t33 @t26 @t25))) % 0.44/0.66 (step @p2498 :rule not_equiv_elim1 :premises (@p34)) % 0.44/0.66 (step @p2499 :rule chain_m_resolution :premises (@p2498 @p2497) :args (@t25 @t264 (@list @t27))) % 0.44/0.66 (step @p2500 :rule bool-double-not-elim :args (@t27)) % 0.44/0.66 (step @p2501 :rule refl :args (@t39)) % 0.44/0.66 (step @p2502 :rule nary_cong :premises (@p62 @p60 @p2501 @p2500) :args ((or @t36 @t37 @t39 @t265))) % 0.44/0.66 (assume-push @p3524 @t38) % 0.44/0.66 (assume-push @p3525 @t26) % 0.44/0.66 (assume-push @p3526 @t24) % 0.44/0.66 (assume-push @p3527 @t25) % 0.44/0.66 (step @p350 :rule evaluate :args (@t88)) % 0.44/0.66 (step @p2507 :rule false_intro :premises (@p3524)) % 0.44/0.66 (step @p2508 :rule true_intro :premises (@p3525)) % 0.44/0.66 (step @p2509 :rule symm :premises (@p2508)) % 0.44/0.66 (step @p2510 :rule true_intro :premises (@p3526)) % 0.44/0.66 (step @p2511 :rule trans :premises (@p2510 @p2509)) % 0.44/0.66 (step @p2512 :rule cong :premises (@p2511) :args (@t25)) % 0.44/0.66 (step @p2513 :rule true_intro :premises (@p3527)) % 0.44/0.66 (step @p2514 :rule symm :premises (@p2513)) % 0.44/0.66 (step @p2515 :rule trans :premises (@p2514 @p2512 @p2507)) % 0.44/0.66 (step @p2516 false :rule eq_resolve :premises (@p2515 @p350)) % 0.44/0.66 (step-pop @p3528 :rule scope :premises (@p2516)) % 0.44/0.66 (step-pop @p3529 :rule scope :premises (@p3528)) % 0.44/0.66 (step-pop @p3530 :rule scope :premises (@p3529)) % 0.44/0.66 (step-pop @p3531 :rule scope :premises (@p3530)) % 0.44/0.66 (step @p2517 :rule process_scope :premises (@p3531) :args (false)) % 0.44/0.66 (assume-push @p3532 @t26) % 0.44/0.66 (assume-push @p3533 @t24) % 0.44/0.66 (assume-push @p3534 @t25) % 0.44/0.66 (assume-push @p3535 @t38) % 0.44/0.66 (step @p2526 :rule and_intro :premises (@p3535 @p3532 @p3533 @p3534)) % 0.44/0.66 (step-pop @p3536 :rule scope :premises (@p2526)) % 0.44/0.66 (step-pop @p3537 :rule scope :premises (@p3536)) % 0.44/0.66 (step-pop @p3538 :rule scope :premises (@p3537)) % 0.44/0.66 (step-pop @p3539 :rule scope :premises (@p3538)) % 0.44/0.66 (step @p2527 :rule process_scope :premises (@p3539) :args (@t266)) % 0.44/0.66 (step @p2532 :rule implies_elim :premises (@p2527)) % 0.44/0.66 (step @p2533 :rule resolution :premises (@p2532 @p2517) :args (true @t266)) % 0.44/0.66 (step @p2534 :rule not_and :premises (@p2533)) % 0.44/0.66 (step @p2535 :rule eq_resolve :premises (@p2534 @p2502)) % 0.44/0.66 (step @p2536 :rule reordering :premises (@p2535) :args ((or @t27 @t39 @t36 @t37))) % 0.44/0.66 (step @p2537 :rule bool-double-not-elim :args (@t43)) % 0.44/0.66 (step @p2538 :rule nary_cong :premises (@p2501 @p2461 @p120 @p2537) :args ((or @t39 @t262 @t49 @t267))) % 0.44/0.66 (assume-push @p3540 @t25) % 0.44/0.66 (assume-push @p3541 @t37) % 0.44/0.66 (assume-push @p3542 @t47) % 0.44/0.66 (assume-push @p3543 @t48) % 0.44/0.66 (step @p68 :rule evaluate :args (@t41)) % 0.44/0.66 (step @p2543 :rule true_intro :premises (@p3540)) % 0.44/0.66 (step @p2544 :rule false_intro :premises (@p3541)) % 0.44/0.66 (step @p2545 :rule symm :premises (@p2544)) % 0.44/0.66 (step @p2546 :rule false_intro :premises (@p3542)) % 0.44/0.66 (step @p2547 :rule trans :premises (@p2546 @p2545)) % 0.44/0.66 (step @p2548 :rule cong :premises (@p2547) :args (@t44)) % 0.44/0.66 (step @p2549 :rule false_intro :premises (@p3543)) % 0.44/0.66 (step @p2550 :rule symm :premises (@p2549)) % 0.44/0.66 (step @p2551 :rule trans :premises (@p2550 @p2548 @p2543)) % 0.44/0.66 (step @p2552 false :rule eq_resolve :premises (@p2551 @p68)) % 0.44/0.66 (step-pop @p3544 :rule scope :premises (@p2552)) % 0.44/0.66 (step-pop @p3545 :rule scope :premises (@p3544)) % 0.44/0.66 (step-pop @p3546 :rule scope :premises (@p3545)) % 0.44/0.66 (step-pop @p3547 :rule scope :premises (@p3546)) % 0.44/0.66 (step @p2553 :rule process_scope :premises (@p3547) :args (false)) % 0.44/0.66 (assume-push @p3548 @t25) % 0.44/0.66 (assume-push @p3549 @t37) % 0.44/0.66 (assume-push @p3550 @t48) % 0.44/0.66 (assume-push @p3551 @t47) % 0.44/0.66 (step @p2562 :rule and_intro :premises (@p3548 @p3549 @p3551 @p3550)) % 0.44/0.66 (step-pop @p3552 :rule scope :premises (@p2562)) % 0.44/0.66 (step-pop @p3553 :rule scope :premises (@p3552)) % 0.44/0.66 (step-pop @p3554 :rule scope :premises (@p3553)) % 0.44/0.66 (step-pop @p3555 :rule scope :premises (@p3554)) % 0.44/0.66 (step @p2563 :rule process_scope :premises (@p3555) :args (@t268)) % 0.44/0.66 (step @p2568 :rule implies_elim :premises (@p2563)) % 0.44/0.66 (step @p2569 :rule resolution :premises (@p2568 @p2553) :args (true @t268)) % 0.44/0.66 (step @p2570 :rule not_and :premises (@p2569)) % 0.44/0.66 (step @p2571 :rule eq_resolve :premises (@p2570 @p2538)) % 0.44/0.66 (step @p2572 :rule reordering :premises (@p2571) :args ((or @t24 @t43 @t44 @t39))) % 0.44/0.66 (step @p2573 :rule equiv_elim1 :premises (@p176)) % 0.44/0.66 (step @p2574 :rule reordering :premises (@p2573) :args ((or @t52 @t47))) % 0.44/0.66 (step @p2575 :rule refl :args (@t56)) % 0.44/0.66 (step @p2576 :rule nary_cong :premises (@p62 @p179 @p2575 @p2500) :args ((or @t36 @t55 @t56 @t265))) % 0.44/0.66 (assume-push @p3556 @t38) % 0.44/0.66 (assume-push @p3557 @t26) % 0.44/0.66 (assume-push @p3558 @t51) % 0.44/0.66 (assume-push @p3559 @t52) % 0.44/0.66 (step @p350 :rule evaluate :args (@t88)) % 0.44/0.66 (step @p2581 :rule false_intro :premises (@p3556)) % 0.44/0.66 (step @p2582 :rule true_intro :premises (@p3557)) % 0.44/0.66 (step @p2583 :rule symm :premises (@p2582)) % 0.44/0.66 (step @p2584 :rule true_intro :premises (@p3558)) % 0.44/0.66 (step @p2585 :rule trans :premises (@p2584 @p2583)) % 0.44/0.66 (step @p2586 :rule cong :premises (@p2585) :args (@t52)) % 0.44/0.66 (step @p2587 :rule true_intro :premises (@p3559)) % 0.44/0.66 (step @p2588 :rule symm :premises (@p2587)) % 0.44/0.66 (step @p2589 :rule trans :premises (@p2588 @p2586 @p2581)) % 0.44/0.66 (step @p2590 false :rule eq_resolve :premises (@p2589 @p350)) % 0.44/0.66 (step-pop @p3560 :rule scope :premises (@p2590)) % 0.44/0.66 (step-pop @p3561 :rule scope :premises (@p3560)) % 0.44/0.66 (step-pop @p3562 :rule scope :premises (@p3561)) % 0.44/0.66 (step-pop @p3563 :rule scope :premises (@p3562)) % 0.44/0.66 (step @p2591 :rule process_scope :premises (@p3563) :args (false)) % 0.44/0.66 (assume-push @p3564 @t26) % 0.44/0.66 (assume-push @p3565 @t51) % 0.44/0.66 (assume-push @p3566 @t52) % 0.44/0.66 (assume-push @p3567 @t38) % 0.44/0.66 (step @p2600 :rule and_intro :premises (@p3567 @p3564 @p3565 @p3566)) % 0.44/0.66 (step-pop @p3568 :rule scope :premises (@p2600)) % 0.44/0.66 (step-pop @p3569 :rule scope :premises (@p3568)) % 0.44/0.66 (step-pop @p3570 :rule scope :premises (@p3569)) % 0.44/0.66 (step-pop @p3571 :rule scope :premises (@p3570)) % 0.44/0.66 (step @p2601 :rule process_scope :premises (@p3571) :args (@t269)) % 0.44/0.66 (step @p2606 :rule implies_elim :premises (@p2601)) % 0.44/0.66 (step @p2607 :rule resolution :premises (@p2606 @p2591) :args (true @t269)) % 0.44/0.66 (step @p2608 :rule not_and :premises (@p2607)) % 0.44/0.66 (step @p2609 :rule eq_resolve :premises (@p2608 @p2576)) % 0.44/0.66 (step @p2610 :rule reordering :premises (@p2609) :args ((or @t27 @t36 @t56 @t55))) % 0.44/0.66 (step @p2611 :rule chain_m_resolution :premises (@p1850 @p1828 @p1888 @p318 @p2169 @p1909 @p1985 @p1948 @p1947 @p235 @p2610 @p2497 @p2574 @p2572 @p2499 @p119 @p2536 @p2499 @p2497 @p58) :args (@t36 (@list true false true true false false true true true true true false false false true true false true false) (@list @t83 @t226 @t74 @t59 @t230 @t63 @t64 @t32 @t60 @t51 @t27 @t52 @t43 @t25 @t44 @t24 @t25 @t27 @t33))) % 0.44/0.66 (step @p2612 :rule chain_m_resolution :premises (@p2171 @p2611) :args (@t69 @t264 (@list @t26))) % 0.44/0.66 (step @p2613 :rule chain_m_resolution :premises (@p2382 @p2612) :args (@t70 @t264 (@list @t33))) % 0.44/0.66 (step @p2614 :rule chain_m_resolution :premises (@p2384 @p2613) :args (@t55 @t264 (@list @t60))) % 0.44/0.66 (step @p2615 :rule nary_cong :premises (@p2500 @p2386 @p2385 @p2575) :args ((or @t265 @t258 @t257 @t56))) % 0.44/0.66 (assume-push @p3572 @t38) % 0.44/0.66 (assume-push @p3573 @t36) % 0.44/0.66 (assume-push @p3574 @t55) % 0.44/0.66 (assume-push @p3575 @t38) % 0.44/0.66 (assume-push @p3576 @t36) % 0.44/0.66 (assume-push @p3577 @t55) % 0.44/0.66 (step @p2622 :rule false_intro :premises (@p3572)) % 0.44/0.66 (step @p2623 :rule false_intro :premises (@p3573)) % 0.44/0.66 (step @p2624 :rule symm :premises (@p2623)) % 0.44/0.66 (step @p2625 :rule false_intro :premises (@p3574)) % 0.44/0.66 (step @p2626 :rule trans :premises (@p2625 @p2624)) % 0.44/0.66 (step @p2627 :rule cong :premises (@p2626) :args (@t52)) % 0.44/0.66 (step @p2628 :rule trans :premises (@p2627 @p2622)) % 0.44/0.66 (step @p2629 :rule false_elim :premises (@p2628)) % 0.44/0.66 (step-pop @p3578 :rule scope :premises (@p2629)) % 0.44/0.66 (step-pop @p3579 :rule scope :premises (@p3578)) % 0.44/0.66 (step-pop @p3580 :rule scope :premises (@p3579)) % 0.44/0.66 (step @p2630 :rule process_scope :premises (@p3580) :args (@t56)) % 0.44/0.66 (step @p2634 :rule and_intro :premises (@p3572 @p3573 @p3574)) % 0.44/0.66 (step @p2635 :rule modus_ponens :premises (@p2634 @p2630)) % 0.44/0.66 (step-pop @p3581 :rule scope :premises (@p2635)) % 0.44/0.66 (step-pop @p3582 :rule scope :premises (@p3581)) % 0.44/0.66 (step-pop @p3583 :rule scope :premises (@p3582)) % 0.44/0.66 (step @p2636 :rule process_scope :premises (@p3583) :args (@t56)) % 0.44/0.66 (step @p2640 :rule implies_elim :premises (@p2636)) % 0.44/0.66 (step @p2641 :rule cnf_and_neg :args (@t270)) % 0.44/0.66 (step @p2642 :rule resolution :premises (@p2641 @p2640) :args (true @t270)) % 0.44/0.66 (step @p2643 :rule eq_resolve :premises (@p2642 @p2615)) % 0.44/0.66 (step @p2644 :rule reordering :premises (@p2643) :args ((or @t26 @t27 @t51 @t56))) % 0.44/0.66 (step @p2645 :rule chain_m_resolution :premises (@p2644 @p2611 @p2497 @p2614) :args (@t56 @t202 (@list @t26 @t27 @t51))) % 0.44/0.66 (step @p2646 :rule chain_m_resolution :premises (@p2574 @p2645) :args (@t47 @t264 (@list @t52))) % 0.44/0.66 (step @p2647 :rule nary_cong :premises (@p2500 @p2386 @p2537 @p2424) :args ((or @t265 @t258 @t267 @t48))) % 0.44/0.66 (assume-push @p3584 @t38) % 0.44/0.66 (assume-push @p3585 @t36) % 0.44/0.66 (assume-push @p3586 @t47) % 0.44/0.66 (assume-push @p3587 @t38) % 0.44/0.66 (assume-push @p3588 @t36) % 0.44/0.66 (assume-push @p3589 @t47) % 0.44/0.66 (step @p2654 :rule false_intro :premises (@p3584)) % 0.44/0.66 (step @p2655 :rule false_intro :premises (@p3585)) % 0.44/0.66 (step @p2656 :rule symm :premises (@p2655)) % 0.44/0.66 (step @p2657 :rule false_intro :premises (@p3586)) % 0.44/0.66 (step @p2658 :rule trans :premises (@p2657 @p2656)) % 0.44/0.66 (step @p2659 :rule cong :premises (@p2658) :args (@t44)) % 0.44/0.66 (step @p2660 :rule trans :premises (@p2659 @p2654)) % 0.44/0.66 (step @p2661 :rule false_elim :premises (@p2660)) % 0.44/0.66 (step-pop @p3590 :rule scope :premises (@p2661)) % 0.44/0.66 (step-pop @p3591 :rule scope :premises (@p3590)) % 0.44/0.66 (step-pop @p3592 :rule scope :premises (@p3591)) % 0.44/0.66 (step @p2662 :rule process_scope :premises (@p3592) :args (@t48)) % 0.44/0.66 (step @p2666 :rule and_intro :premises (@p3584 @p3585 @p3586)) % 0.44/0.66 (step @p2667 :rule modus_ponens :premises (@p2666 @p2662)) % 0.44/0.66 (step-pop @p3593 :rule scope :premises (@p2667)) % 0.44/0.66 (step-pop @p3594 :rule scope :premises (@p3593)) % 0.44/0.66 (step-pop @p3595 :rule scope :premises (@p3594)) % 0.44/0.66 (step @p2668 :rule process_scope :premises (@p3595) :args (@t48)) % 0.44/0.66 (step @p2672 :rule implies_elim :premises (@p2668)) % 0.44/0.66 (step @p2673 :rule cnf_and_neg :args (@t271)) % 0.44/0.66 (step @p2674 :rule resolution :premises (@p2673 @p2672) :args (true @t271)) % 0.44/0.66 (step @p2675 :rule eq_resolve :premises (@p2674 @p2647)) % 0.44/0.66 (step @p2676 :rule reordering :premises (@p2675) :args ((or @t26 @t27 @t43 @t48))) % 0.44/0.66 (step @p2677 :rule chain_m_resolution :premises (@p2676 @p2611 @p2497 @p2646) :args (@t48 @t202 (@list @t26 @t27 @t43))) % 0.44/0.66 (step @p2678 :rule chain_m_resolution :premises (@p2423 @p2677) :args (@t37 @t264 @t261)) % 0.44/0.66 (step @p2679 false :rule chain_m_resolution :premises (@p2572 @p2678 @p2677 @p2646 @p2499) :args (false @t175 (@list @t24 @t44 @t43 @t25))) % 0.44/0.66 ) % 0.44/0.66 % SZS output end Proof % 0.44/0.66 % cvc5 exiting %------------------------------------------------------------------------------