%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN070+2 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:42:53 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUN070+2 : TPTP v9.2.1. Released v7.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.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 12:39:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.r1 (-> $$unsorted Bool)) % 0.37/0.62 (define @t1 () (@var "Y24" $$unsorted)) % 0.37/0.62 (define @t2 () (@var "X19" $$unsorted)) % 0.37/0.62 (define @t3 () (= @t2 @t1)) % 0.37/0.62 (define @t4 () (tptp.r1 @t2)) % 0.37/0.62 (define @t5 () (and @t4 @t3)) % 0.37/0.62 (define @t6 () (not @t3)) % 0.37/0.62 (define @t7 () (not @t4)) % 0.37/0.62 (define @t8 () (and @t7 @t6)) % 0.37/0.62 (define @t9 () (or @t8 @t5)) % 0.37/0.62 (define @t10 () (@list @t2)) % 0.37/0.62 (define @t11 () (forall @t10 @t9)) % 0.37/0.62 (define @t12 () (@list @t1)) % 0.37/0.62 (define @t13 () (exists @t12 @t11)) % 0.37/0.62 (define @t14 () (@var "Y21" $$unsorted)) % 0.37/0.62 (define @t15 () (@var "X12" $$unsorted)) % 0.37/0.62 (define @t16 () (= @t15 @t14)) % 0.37/0.62 (define @t17 () (@var "X11" $$unsorted)) % 0.37/0.62 (define @t18 () (tptp.r2 @t17 @t15)) % 0.37/0.62 (define @t19 () (and @t18 @t16)) % 0.37/0.62 (define @t20 () (not @t16)) % 0.37/0.62 (define @t21 () (not @t18)) % 0.37/0.62 (define @t22 () (and @t21 @t20)) % 0.37/0.62 (define @t23 () (or @t22 @t19)) % 0.37/0.62 (define @t24 () (@list @t15)) % 0.37/0.62 (define @t25 () (forall @t24 @t23)) % 0.37/0.62 (define @t26 () (@list @t14)) % 0.37/0.62 (define @t27 () (exists @t26 @t25)) % 0.37/0.62 (define @t28 () (forall (@list @t17) @t27)) % 0.37/0.62 (define @t29 () (@var "Y22" $$unsorted)) % 0.37/0.62 (define @t30 () (@var "X15" $$unsorted)) % 0.37/0.62 (define @t31 () (= @t30 @t29)) % 0.37/0.62 (define @t32 () (@var "X14" $$unsorted)) % 0.37/0.62 (define @t33 () (@var "X13" $$unsorted)) % 0.37/0.62 (define @t34 () (tptp.r3 @t33 @t32 @t30)) % 0.37/0.62 (define @t35 () (@var "Y23" $$unsorted)) % 0.37/0.62 (define @t36 () (@var "X18" $$unsorted)) % 0.37/0.62 (define @t37 () (= @t36 @t35)) % 0.37/0.62 (define @t38 () (@var "X17" $$unsorted)) % 0.37/0.62 (define @t39 () (@var "X16" $$unsorted)) % 0.37/0.62 (define @t40 () (tptp.r4 @t39 @t38 @t36)) % 0.37/0.62 (define @t41 () (@var "Y7" $$unsorted)) % 0.37/0.62 (define @t42 () (@var "X8" $$unsorted)) % 0.37/0.62 (define @t43 () (@var "X1" $$unsorted)) % 0.37/0.62 (define @t44 () (@var "Y4" $$unsorted)) % 0.37/0.62 (define @t45 () (@var "Y5" $$unsorted)) % 0.37/0.62 (define @t46 () (@var "Y15" $$unsorted)) % 0.37/0.62 (define @t47 () (@list @t45)) % 0.37/0.62 (define @t48 () (@list @t44)) % 0.37/0.62 (define @t49 () (@var "Y6" $$unsorted)) % 0.37/0.62 (define @t50 () (@var "X9" $$unsorted)) % 0.37/0.62 (define @t51 () (@var "X2" $$unsorted)) % 0.37/0.62 (define @t52 () (@var "Y2" $$unsorted)) % 0.37/0.62 (define @t53 () (@list @t49)) % 0.37/0.62 (define @t54 () (@var "Y3" $$unsorted)) % 0.37/0.62 (define @t55 () (@var "Y14" $$unsorted)) % 0.37/0.62 (define @t56 () (@list @t54)) % 0.37/0.62 (define @t57 () (@list @t52)) % 0.37/0.62 (define @t58 () (@var "X10" $$unsorted)) % 0.37/0.62 (define @t59 () (@var "X3" $$unsorted)) % 0.37/0.62 (define @t60 () (@var "Y12" $$unsorted)) % 0.37/0.62 (define @t61 () (@var "Y13" $$unsorted)) % 0.37/0.62 (define @t62 () (@var "X4" $$unsorted)) % 0.37/0.62 (define @t63 () (@var "Y9" $$unsorted)) % 0.37/0.62 (define @t64 () (= @t63 @t62)) % 0.37/0.62 (define @t65 () (@var "Y16" $$unsorted)) % 0.37/0.62 (define @t66 () (tptp.r3 @t62 @t65 @t63)) % 0.37/0.62 (define @t67 () (tptp.r1 @t65)) % 0.37/0.62 (define @t68 () (and @t67 @t66)) % 0.37/0.62 (define @t69 () (@list @t65)) % 0.37/0.62 (define @t70 () (exists @t69 @t68)) % 0.37/0.62 (define @t71 () (and @t70 @t64)) % 0.37/0.62 (define @t72 () (@list @t63)) % 0.37/0.62 (define @t73 () (exists @t72 @t71)) % 0.37/0.62 (define @t74 () (forall (@list @t62) @t73)) % 0.37/0.62 (define @t75 () (@var "Y18" $$unsorted)) % 0.37/0.62 (define @t76 () (@var "Y8" $$unsorted)) % 0.37/0.62 (define @t77 () (@var "Y17" $$unsorted)) % 0.37/0.62 (define @t78 () (@var "X5" $$unsorted)) % 0.37/0.62 (define @t79 () (@var "Y11" $$unsorted)) % 0.37/0.62 (define @t80 () (@var "X6" $$unsorted)) % 0.37/0.62 (define @t81 () (@var "Y1" $$unsorted)) % 0.37/0.62 (define @t82 () (@var "Y19" $$unsorted)) % 0.37/0.62 (define @t83 () (@var "Y10" $$unsorted)) % 0.37/0.62 (define @t84 () (@var "X7" $$unsorted)) % 0.37/0.62 (define @t85 () (@var "Y20" $$unsorted)) % 0.37/0.62 (define @t86 () (tptp.r2 @t49 @t54)) % 0.37/0.62 (define @t87 () (tptp.r1 @t49)) % 0.37/0.62 (define @t88 () (and @t87 @t86)) % 0.37/0.62 (define @t89 () (exists @t53 @t88)) % 0.37/0.62 (define @t90 () (and (= @t81 @t54) @t89)) % 0.37/0.62 (define @t91 () (exists @t56 @t90)) % 0.37/0.62 (define @t92 () (tptp.r2 @t45 @t52)) % 0.37/0.62 (define @t93 () (tptp.r1 @t45)) % 0.37/0.62 (define @t94 () (and @t93 @t92)) % 0.37/0.62 (define @t95 () (exists @t47 @t94)) % 0.37/0.62 (define @t96 () (tptp.r3 @t52 @t44 @t81)) % 0.37/0.62 (define @t97 () (tptp.r1 @t44)) % 0.37/0.62 (define @t98 () (and @t97 @t96)) % 0.37/0.62 (define @t99 () (exists @t48 @t98)) % 0.37/0.62 (define @t100 () (and @t99 @t95)) % 0.37/0.62 (define @t101 () (exists @t57 @t100)) % 0.37/0.62 (define @t102 () (and @t101 @t91)) % 0.37/0.62 (define @t103 () (@list @t81)) % 0.37/0.62 (define @t104 () (exists @t103 @t102)) % 0.37/0.62 (define @t105 () (not @t104)) % 0.37/0.62 (define @t106 () (@var "BOUND_VARIABLE_8240" $$unsorted)) % 0.37/0.62 (define @t107 () (not (tptp.r2 @t106 @t81))) % 0.37/0.62 (define @t108 () (not (tptp.r1 @t106))) % 0.37/0.62 (define @t109 () (@var "BOUND_VARIABLE_8225" $$unsorted)) % 0.37/0.62 (define @t110 () (@var "BOUND_VARIABLE_8229" $$unsorted)) % 0.37/0.62 (define @t111 () (not (tptp.r2 @t110 @t109))) % 0.37/0.62 (define @t112 () (not (tptp.r1 @t110))) % 0.37/0.62 (define @t113 () (@var "BOUND_VARIABLE_8227" $$unsorted)) % 0.37/0.62 (define @t114 () (not (tptp.r3 @t109 @t113 @t81))) % 0.37/0.62 (define @t115 () (not (tptp.r1 @t113))) % 0.37/0.62 (define @t116 () (or @t115 @t114 @t112 @t111 @t108 @t107)) % 0.37/0.62 (define @t117 () (@list @t81 @t109 @t113 @t110 @t106)) % 0.37/0.62 (define @t118 () (forall @t117 @t116)) % 0.37/0.62 (define @t119 () (or @t108 @t107)) % 0.37/0.62 (define @t120 () (or @t115 @t114 @t112 @t111)) % 0.37/0.62 (define @t121 () (or @t120 @t119)) % 0.37/0.62 (define @t122 () (forall @t117 @t121)) % 0.37/0.62 (define @t123 () (forall (@list @t109 @t113 @t110 @t106) @t121)) % 0.37/0.62 (define @t124 () (forall (@list @t106) @t119)) % 0.37/0.62 (define @t125 () (@var "BOUND_VARIABLE_8195" $$unsorted)) % 0.37/0.62 (define @t126 () (@list @t125)) % 0.37/0.62 (define @t127 () (forall (@list @t109 @t113 @t110) @t120)) % 0.37/0.62 (define @t128 () (@var "BOUND_VARIABLE_8165" $$unsorted)) % 0.37/0.62 (define @t129 () (@var "BOUND_VARIABLE_8158" $$unsorted)) % 0.37/0.62 (define @t130 () (or @t127 @t124)) % 0.37/0.62 (define @t131 () (not (tptp.r2 @t125 @t81))) % 0.37/0.62 (define @t132 () (not (tptp.r1 @t125))) % 0.37/0.62 (define @t133 () (or @t132 @t131)) % 0.37/0.62 (define @t134 () (@list @t125)) % 0.37/0.62 (define @t135 () (forall @t134 @t133)) % 0.37/0.62 (define @t136 () (not (tptp.r2 @t128 @t52))) % 0.37/0.62 (define @t137 () (not (tptp.r1 @t128))) % 0.37/0.62 (define @t138 () (not (tptp.r3 @t52 @t129 @t81))) % 0.37/0.62 (define @t139 () (not (tptp.r1 @t129))) % 0.37/0.62 (define @t140 () (or @t139 @t138 @t137 @t136)) % 0.37/0.62 (define @t141 () (@list @t52 @t129 @t128)) % 0.37/0.62 (define @t142 () (forall @t141 @t140)) % 0.37/0.62 (define @t143 () (not @t135)) % 0.37/0.62 (define @t144 () (not @t142)) % 0.37/0.62 (define @t145 () (and @t144 @t143)) % 0.37/0.62 (define @t146 () (forall @t103 (not @t145))) % 0.37/0.62 (define @t147 () (not @t146)) % 0.37/0.62 (define @t148 () (not (= @t81 @t81))) % 0.37/0.62 (define @t149 () (or @t148 @t132 @t131)) % 0.37/0.62 (define @t150 () (not (tptp.r2 @t125 @t54))) % 0.37/0.62 (define @t151 () (= @t54 @t81)) % 0.37/0.62 (define @t152 () (not @t151)) % 0.37/0.62 (define @t153 () (or @t152 @t152 @t132 @t150)) % 0.37/0.62 (define @t154 () (or @t152 @t132 @t150)) % 0.37/0.62 (define @t155 () (forall @t56 @t154)) % 0.37/0.62 (define @t156 () (forall @t134 @t155)) % 0.37/0.62 (define @t157 () (forall (@list @t125 @t54) @t154)) % 0.37/0.62 (define @t158 () (@list @t54 @t125)) % 0.37/0.62 (define @t159 () (or @t132 @t150)) % 0.37/0.62 (define @t160 () (or @t152 @t159)) % 0.37/0.62 (define @t161 () (forall @t158 @t160)) % 0.37/0.62 (define @t162 () (forall @t134 @t160)) % 0.37/0.62 (define @t163 () (forall @t134 @t159)) % 0.37/0.62 (define @t164 () (or @t152 @t163)) % 0.37/0.62 (define @t165 () (forall @t53 (or (not @t87) (not @t86)))) % 0.37/0.62 (define @t166 () (not @t165)) % 0.37/0.62 (define @t167 () (and @t151 @t166)) % 0.37/0.62 (define @t168 () (forall @t56 (not @t167))) % 0.37/0.62 (define @t169 () (not @t168)) % 0.37/0.62 (define @t170 () (forall @t53 (not @t88))) % 0.37/0.62 (define @t171 () (not @t170)) % 0.37/0.62 (define @t172 () (or @t137 @t136)) % 0.37/0.62 (define @t173 () (or @t139 @t138)) % 0.37/0.62 (define @t174 () (or @t173 @t172)) % 0.37/0.62 (define @t175 () (forall @t141 @t174)) % 0.37/0.62 (define @t176 () (forall (@list @t129 @t128) @t174)) % 0.37/0.62 (define @t177 () (forall (@list @t128) @t172)) % 0.37/0.62 (define @t178 () (forall (@list @t129) @t173)) % 0.37/0.62 (define @t179 () (or @t178 @t177)) % 0.37/0.62 (define @t180 () (forall @t47 (or (not @t93) (not @t92)))) % 0.37/0.62 (define @t181 () (forall @t48 (or (not @t97) (not @t96)))) % 0.37/0.62 (define @t182 () (not @t180)) % 0.37/0.62 (define @t183 () (not @t181)) % 0.37/0.62 (define @t184 () (and @t183 @t182)) % 0.37/0.62 (define @t185 () (forall @t57 (not @t184))) % 0.37/0.62 (define @t186 () (not @t185)) % 0.37/0.62 (define @t187 () (forall @t47 (not @t94))) % 0.37/0.62 (define @t188 () (not @t187)) % 0.37/0.62 (define @t189 () (forall @t48 (not @t98))) % 0.37/0.62 (define @t190 () (not @t189)) % 0.37/0.62 (define @t191 () (@var "BOUND_VARIABLE_8022" $$unsorted)) % 0.37/0.62 (define @t192 () (not (tptp.r3 @t62 @t191 @t62))) % 0.37/0.62 (define @t193 () (not (tptp.r1 @t191))) % 0.37/0.62 (define @t194 () (not (= @t62 @t62))) % 0.37/0.62 (define @t195 () (or @t194 @t193 @t192)) % 0.37/0.62 (define @t196 () (@list @t191)) % 0.37/0.62 (define @t197 () (not (tptp.r3 @t62 @t191 @t63))) % 0.37/0.62 (define @t198 () (= @t62 @t63)) % 0.37/0.62 (define @t199 () (not @t198)) % 0.37/0.62 (define @t200 () (or @t199 @t199 @t193 @t197)) % 0.37/0.62 (define @t201 () (or @t199 @t193 @t197)) % 0.37/0.62 (define @t202 () (forall @t72 @t201)) % 0.37/0.62 (define @t203 () (forall @t196 @t202)) % 0.37/0.62 (define @t204 () (forall (@list @t191 @t63) @t201)) % 0.37/0.62 (define @t205 () (@list @t63 @t191)) % 0.37/0.62 (define @t206 () (or @t193 @t197)) % 0.37/0.62 (define @t207 () (or @t206 @t199)) % 0.37/0.62 (define @t208 () (forall @t205 @t207)) % 0.37/0.62 (define @t209 () (forall @t196 @t207)) % 0.37/0.62 (define @t210 () (forall @t196 @t206)) % 0.37/0.62 (define @t211 () (or @t210 @t199)) % 0.37/0.62 (define @t212 () (forall @t69 (or (not @t67) (not @t66)))) % 0.37/0.62 (define @t213 () (not @t212)) % 0.37/0.62 (define @t214 () (and @t213 @t198)) % 0.37/0.62 (define @t215 () (forall @t72 (not @t214))) % 0.37/0.62 (define @t216 () (not @t215)) % 0.37/0.62 (define @t217 () (forall @t69 (not @t68))) % 0.37/0.62 (define @t218 () (not @t217)) % 0.37/0.62 (define @t219 () (tptp.r1 @t1)) % 0.37/0.62 (define @t220 () (@var "BOUND_VARIABLE_7643" $$unsorted)) % 0.37/0.62 (define @t221 () (tptp.r1 @t220)) % 0.37/0.62 (define @t222 () (not @t221)) % 0.37/0.62 (define @t223 () (@list @t220)) % 0.37/0.62 (define @t224 () (forall @t223 (or @t222 (and @t221 (= @t1 @t220))))) % 0.37/0.62 (define @t225 () (forall @t12 (or (not @t224) (not @t219)))) % 0.37/0.62 (define @t226 () (@quantifiers_skolemize @t225 0)) % 0.37/0.62 (define @t227 () (@var "BOUND_VARIABLE_7690" $$unsorted)) % 0.37/0.62 (define @t228 () (= @t14 @t227)) % 0.37/0.62 (define @t229 () (tptp.r2 @t226 @t227)) % 0.37/0.62 (define @t230 () (not @t229)) % 0.37/0.62 (define @t231 () (@list @t227)) % 0.37/0.62 (define @t232 () (forall @t26 (or (not (forall @t231 (or @t230 (and @t229 @t228)))) (not (tptp.r2 @t226 @t14))))) % 0.37/0.62 (define @t233 () (@quantifiers_skolemize @t232 0)) % 0.37/0.62 (define @t234 () (@quantifiers_skolemize (forall @t196 (or @t193 (not (tptp.r3 @t233 @t191 @t233)))) 0)) % 0.37/0.62 (define @t235 () (tptp.r3 @t233 @t234 @t233)) % 0.37/0.62 (define @t236 () (not @t235)) % 0.37/0.62 (define @t237 () (tptp.r1 @t234)) % 0.37/0.62 (define @t238 () (not @t237)) % 0.37/0.62 (define @t239 () (or @t238 @t236)) % 0.37/0.62 (define @t240 () (@list true)) % 0.37/0.62 (define @t241 () (@list @t239)) % 0.37/0.62 (define @t242 () (tptp.r2 @t17 @t227)) % 0.37/0.62 (define @t243 () (forall @t231 (or (not @t242) (and @t242 @t228)))) % 0.37/0.62 (define @t244 () (tptp.r2 @t17 @t14)) % 0.37/0.62 (define @t245 () (and @t243 @t244)) % 0.37/0.62 (define @t246 () (forall @t26 (not @t245))) % 0.37/0.62 (define @t247 () (not @t246)) % 0.37/0.62 (define @t248 () (= @t14 @t14)) % 0.37/0.62 (define @t249 () (and @t244 @t248)) % 0.37/0.62 (define @t250 () (not @t248)) % 0.37/0.62 (define @t251 () (or @t250 @t249)) % 0.37/0.62 (define @t252 () (@var "BOUND_VARIABLE_7699" $$unsorted)) % 0.37/0.62 (define @t253 () (= @t14 @t252)) % 0.37/0.62 (define @t254 () (and (tptp.r2 @t17 @t252) @t253)) % 0.37/0.62 (define @t255 () (not @t253)) % 0.37/0.62 (define @t256 () (@list @t252)) % 0.37/0.62 (define @t257 () (or @t255 @t255 @t254)) % 0.37/0.62 (define @t258 () (or @t255 @t254)) % 0.37/0.62 (define @t259 () (forall @t256 @t258)) % 0.37/0.62 (define @t260 () (= @t14 @t15)) % 0.37/0.62 (define @t261 () (and @t18 @t260)) % 0.37/0.62 (define @t262 () (not @t260)) % 0.37/0.62 (define @t263 () (or @t262 @t261)) % 0.37/0.62 (define @t264 () (forall @t24 @t263)) % 0.37/0.62 (define @t265 () (@list @t15)) % 0.37/0.62 (define @t266 () (or @t21 @t261)) % 0.37/0.62 (define @t267 () (forall @t24 @t266)) % 0.37/0.62 (define @t268 () (and @t267 @t264)) % 0.37/0.62 (define @t269 () (tptp.r2 @t226 @t233)) % 0.37/0.62 (define @t270 () (not @t269)) % 0.37/0.62 (define @t271 () (or (not (forall @t231 (or @t230 (and @t229 (= @t227 @t233))))) @t270)) % 0.37/0.62 (define @t272 () (not @t271)) % 0.37/0.62 (define @t273 () (not @t232)) % 0.37/0.62 (define @t274 () (and @t229 (= @t233 @t227))) % 0.37/0.62 (define @t275 () (or @t230 @t274)) % 0.37/0.62 (define @t276 () (forall @t231 @t275)) % 0.37/0.62 (define @t277 () (not @t276)) % 0.37/0.62 (define @t278 () (or @t277 @t270)) % 0.37/0.62 (define @t279 () (not @t278)) % 0.37/0.62 (define @t280 () (and @t224 @t219)) % 0.37/0.62 (define @t281 () (forall @t12 (not @t280))) % 0.37/0.62 (define @t282 () (not @t281)) % 0.37/0.62 (define @t283 () (= @t1 @t1)) % 0.37/0.62 (define @t284 () (and @t219 @t283)) % 0.37/0.62 (define @t285 () (not @t283)) % 0.37/0.62 (define @t286 () (or @t285 @t284)) % 0.37/0.62 (define @t287 () (@var "BOUND_VARIABLE_7652" $$unsorted)) % 0.37/0.62 (define @t288 () (= @t1 @t287)) % 0.37/0.62 (define @t289 () (and (tptp.r1 @t287) @t288)) % 0.37/0.62 (define @t290 () (not @t288)) % 0.37/0.62 (define @t291 () (@list @t287)) % 0.37/0.62 (define @t292 () (or @t290 @t290 @t289)) % 0.37/0.62 (define @t293 () (or @t290 @t289)) % 0.37/0.62 (define @t294 () (forall @t291 @t293)) % 0.37/0.62 (define @t295 () (= @t1 @t2)) % 0.37/0.62 (define @t296 () (and @t4 @t295)) % 0.37/0.62 (define @t297 () (not @t295)) % 0.37/0.62 (define @t298 () (or @t297 @t296)) % 0.37/0.62 (define @t299 () (forall @t10 @t298)) % 0.37/0.62 (define @t300 () (@list @t2)) % 0.37/0.62 (define @t301 () (or @t7 @t296)) % 0.37/0.62 (define @t302 () (forall @t10 @t301)) % 0.37/0.62 (define @t303 () (and @t302 @t299)) % 0.37/0.62 (define @t304 () (tptp.r1 @t226)) % 0.37/0.62 (define @t305 () (not @t304)) % 0.37/0.62 (define @t306 () (or (not (forall @t223 (or @t222 (and @t221 (= @t220 @t226))))) @t305)) % 0.37/0.62 (define @t307 () (not @t306)) % 0.37/0.62 (define @t308 () (not @t225)) % 0.37/0.62 (define @t309 () (and @t221 (= @t226 @t220))) % 0.37/0.62 (define @t310 () (or @t222 @t309)) % 0.37/0.62 (define @t311 () (forall @t223 @t310)) % 0.37/0.62 (define @t312 () (not @t311)) % 0.37/0.62 (define @t313 () (or @t312 @t305)) % 0.37/0.62 (define @t314 () (not @t313)) % 0.37/0.62 (define @t315 () (or @t238 @t236 @t305 @t270 @t305 @t270)) % 0.37/0.62 (define @t316 () (not @t315)) % 0.37/0.62 (assume @p1 @t13) % 0.37/0.62 (assume @p2 @t28) % 0.37/0.62 (assume @p3 (forall (@list @t33 @t32) (exists (@list @t29) (forall (@list @t30) (or (and (not @t34) (not @t31)) (and @t34 @t31)))))) % 0.37/0.62 (assume @p4 (forall (@list @t39 @t38) (exists (@list @t35) (forall (@list @t36) (or (and (not @t40) (not @t37)) (and @t40 @t37)))))) % 0.37/0.62 (assume @p5 (forall (@list @t43 @t42) (exists @t48 (and (exists @t47 (and (exists (@list @t46) (and (tptp.r2 @t42 @t46) (tptp.r3 @t43 @t46 @t45))) (= @t45 @t44))) (exists (@list @t41) (and (tptp.r2 @t41 @t44) (tptp.r3 @t43 @t42 @t41))))))) % 0.37/0.62 (assume @p6 (forall (@list @t51 @t50) (exists @t57 (and (exists @t56 (and (exists (@list @t55) (and (tptp.r2 @t50 @t55) (tptp.r4 @t51 @t55 @t54))) (= @t54 @t52))) (exists @t53 (and (tptp.r3 @t49 @t51 @t52) (tptp.r4 @t51 @t50 @t49))))))) % 0.37/0.62 (assume @p7 (forall (@list @t59 @t58) (or (forall (@list @t60) (or (forall (@list @t61) (or (not (tptp.r2 @t59 @t61)) (not (= @t61 @t60)))) (not (tptp.r2 @t58 @t60)))) (= @t59 @t58)))) % 0.37/0.62 (assume @p8 @t74) % 0.37/0.62 (assume @p9 (forall (@list @t78) (exists (@list @t76) (and (exists (@list @t77) (and (tptp.r1 @t77) (tptp.r4 @t78 @t77 @t76))) (exists (@list @t75) (and (tptp.r1 @t75) (= @t76 @t75))))))) % 0.37/0.62 (assume @p10 (forall (@list @t80) (or (exists (@list @t82) (and (tptp.r1 @t82) (= @t80 @t82))) (exists (@list @t81 @t79) (and (tptp.r2 @t81 @t79) (= @t80 @t79)))))) % 0.37/0.62 (assume @p11 (forall (@list @t84 @t83) (or (forall (@list @t85) (or (not (tptp.r1 @t85)) (not (= @t85 @t83)))) (not (tptp.r2 @t84 @t83))))) % 0.37/0.62 (assume @p12 @t105) % 0.37/0.62 (assume @p13 true) % 0.37/0.62 (step @p14 :rule bool-double-not-elim :args (@t118)) % 0.37/0.62 (step @p15 :rule aci_norm :args ((= @t121 @t116))) % 0.37/0.62 (step @p16 :rule cong :premises (@p15) :args (@t122)) % 0.37/0.62 (step @p17 :rule quant-merge-prenex :args ((= (forall @t103 @t123) @t122))) % 0.37/0.62 (step @p18 :rule alpha_equiv :args (@t124 (@list @t106) @t126)) % 0.37/0.62 (step @p19 :rule alpha_equiv :args (@t127 (@list @t109 @t113 @t110) (@list @t52 @t129 @t128))) % 0.37/0.62 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t130)) % 0.37/0.62 (step @p21 :rule quant-miniscope-or :args ((= @t123 @t130))) % 0.37/0.62 (step @p22 :rule trans :premises (@p21 @p20)) % 0.37/0.62 (step @p23 :rule symm :premises (@p22)) % 0.37/0.62 (step @p24 :rule cong :premises (@p23) :args ((forall @t103 (or @t142 @t135)))) % 0.37/0.62 (step @p25 :rule trans :premises (@p24 @p17)) % 0.37/0.62 (step @p26 :rule trans :premises (@p25 @p16)) % 0.37/0.62 (step @p27 :rule bool-double-not-elim :args (@t135)) % 0.37/0.62 (step @p28 :rule bool-double-not-elim :args (@t142)) % 0.37/0.62 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t144) (not @t143)))) % 0.37/0.62 (step @p30 :rule bool-and-de-morgan :args (@t144 @t143 true)) % 0.37/0.62 (step @p31 :rule trans :premises (@p30 @p29)) % 0.37/0.62 (step @p32 :rule cong :premises (@p31) :args (@t146)) % 0.37/0.62 (step @p33 :rule trans :premises (@p32 @p26)) % 0.37/0.62 (step @p34 :rule cong :premises (@p33) :args (@t147)) % 0.37/0.62 (step @p35 :rule exists-elim :args ((= (exists @t103 @t145) @t147))) % 0.37/0.62 (step @p36 :rule trans :premises (@p35 @p34)) % 0.37/0.62 (step @p37 :rule aci_norm :args ((= (or false @t132 @t131) @t133))) % 0.37/0.62 (step @p38 :rule refl :args (@t131)) % 0.37/0.62 (step @p39 :rule refl :args (@t132)) % 0.37/0.62 (step @p40 :rule evaluate :args ((not true))) % 0.37/0.62 (step @p41 :rule eq-refl :args (@t81)) % 0.37/0.62 (step @p42 :rule cong :premises (@p41) :args (@t148)) % 0.37/0.62 (step @p43 :rule trans :premises (@p42 @p40)) % 0.37/0.62 (step @p44 :rule nary_cong :premises (@p43 @p39 @p38) :args (@t149)) % 0.37/0.62 (step @p45 :rule trans :premises (@p44 @p37)) % 0.37/0.62 (step @p46 :rule cong :premises (@p45) :args ((forall @t134 @t149))) % 0.37/0.62 (step @p47 :rule quant-var-elim-eq :args ((= (forall @t56 @t153) @t149))) % 0.37/0.62 (step @p48 :rule aci_norm :args ((= @t154 @t153))) % 0.37/0.62 (step @p49 :rule cong :premises (@p48) :args (@t155)) % 0.37/0.62 (step @p50 :rule trans :premises (@p49 @p47)) % 0.37/0.62 (step @p51 :rule cong :premises (@p50) :args (@t156)) % 0.37/0.62 (step @p52 :rule quant-merge-prenex :args ((= @t156 @t157))) % 0.37/0.62 (step @p53 :rule symm :premises (@p52)) % 0.37/0.62 (step @p54 :rule quant_var_reordering :args ((= (forall @t158 @t154) @t157))) % 0.37/0.62 (step @p55 :rule trans :premises (@p54 @p53 @p51)) % 0.37/0.62 (step @p56 :rule trans :premises (@p55 @p46)) % 0.37/0.62 (step @p57 :rule aci_norm :args ((= @t160 @t154))) % 0.37/0.62 (step @p58 :rule cong :premises (@p57) :args (@t161)) % 0.37/0.62 (step @p59 :rule trans :premises (@p58 @p56)) % 0.37/0.62 (step @p60 :rule quant-merge-prenex :args ((= (forall @t56 @t162) @t161))) % 0.37/0.62 (step @p61 :rule alpha_equiv :args (@t163 @t126 (@list @t49))) % 0.37/0.62 (step @p62 :rule refl :args (@t152)) % 0.37/0.62 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t164)) % 0.37/0.62 (step @p64 :rule quant-miniscope-or :args ((= @t162 @t164))) % 0.37/0.62 (step @p65 :rule trans :premises (@p64 @p63)) % 0.37/0.62 (step @p66 :rule symm :premises (@p65)) % 0.37/0.62 (step @p67 :rule cong :premises (@p66) :args ((forall @t56 (or @t152 @t165)))) % 0.37/0.62 (step @p68 :rule trans :premises (@p67 @p60)) % 0.37/0.62 (step @p69 :rule trans :premises (@p68 @p59)) % 0.37/0.62 (step @p70 :rule bool-double-not-elim :args (@t165)) % 0.37/0.62 (step @p71 :rule nary_cong :premises (@p62 @p70) :args ((or @t152 (not @t166)))) % 0.37/0.62 (step @p72 :rule bool-and-de-morgan :args (@t151 @t166 true)) % 0.37/0.62 (step @p73 :rule trans :premises (@p72 @p71)) % 0.37/0.62 (step @p74 :rule cong :premises (@p73) :args (@t168)) % 0.37/0.62 (step @p75 :rule trans :premises (@p74 @p69)) % 0.37/0.62 (step @p76 :rule cong :premises (@p75) :args (@t169)) % 0.37/0.62 (step @p77 :rule exists-elim :args ((= (exists @t56 @t167) @t169))) % 0.37/0.62 (step @p78 :rule trans :premises (@p77 @p76)) % 0.37/0.62 (step @p79 :rule bool-and-de-morgan :args (@t87 @t86 true)) % 0.37/0.62 (step @p80 :rule cong :premises (@p79) :args (@t170)) % 0.37/0.62 (step @p81 :rule cong :premises (@p80) :args (@t171)) % 0.37/0.62 (step @p82 :rule exists-elim :args ((= @t89 @t171))) % 0.37/0.62 (step @p83 :rule trans :premises (@p82 @p81)) % 0.37/0.62 (step @p84 :rule eq-symm :args (@t81 @t54)) % 0.37/0.62 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t90)) % 0.37/0.62 (step @p86 :rule cong :premises (@p85) :args (@t91)) % 0.37/0.62 (step @p87 :rule trans :premises (@p86 @p78)) % 0.37/0.62 (step @p88 :rule aci_norm :args ((= @t174 @t140))) % 0.37/0.62 (step @p89 :rule cong :premises (@p88) :args (@t175)) % 0.37/0.62 (step @p90 :rule quant-merge-prenex :args ((= (forall @t57 @t176) @t175))) % 0.37/0.62 (step @p91 :rule alpha_equiv :args (@t177 (@list @t128) (@list @t45))) % 0.37/0.62 (step @p92 :rule alpha_equiv :args (@t178 (@list @t129) (@list @t44))) % 0.37/0.62 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t179)) % 0.37/0.62 (step @p94 :rule quant-miniscope-or :args ((= @t176 @t179))) % 0.37/0.62 (step @p95 :rule trans :premises (@p94 @p93)) % 0.37/0.62 (step @p96 :rule symm :premises (@p95)) % 0.37/0.62 (step @p97 :rule cong :premises (@p96) :args ((forall @t57 (or @t181 @t180)))) % 0.37/0.62 (step @p98 :rule trans :premises (@p97 @p90)) % 0.37/0.62 (step @p99 :rule trans :premises (@p98 @p89)) % 0.37/0.62 (step @p100 :rule bool-double-not-elim :args (@t180)) % 0.37/0.62 (step @p101 :rule bool-double-not-elim :args (@t181)) % 0.37/0.62 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or (not @t183) (not @t182)))) % 0.37/0.62 (step @p103 :rule bool-and-de-morgan :args (@t183 @t182 true)) % 0.37/0.62 (step @p104 :rule trans :premises (@p103 @p102)) % 0.37/0.62 (step @p105 :rule cong :premises (@p104) :args (@t185)) % 0.37/0.62 (step @p106 :rule trans :premises (@p105 @p99)) % 0.37/0.62 (step @p107 :rule cong :premises (@p106) :args (@t186)) % 0.37/0.62 (step @p108 :rule exists-elim :args ((= (exists @t57 @t184) @t186))) % 0.37/0.62 (step @p109 :rule trans :premises (@p108 @p107)) % 0.37/0.62 (step @p110 :rule bool-and-de-morgan :args (@t93 @t92 true)) % 0.37/0.62 (step @p111 :rule cong :premises (@p110) :args (@t187)) % 0.37/0.62 (step @p112 :rule cong :premises (@p111) :args (@t188)) % 0.37/0.62 (step @p113 :rule exists-elim :args ((= @t95 @t188))) % 0.37/0.62 (step @p114 :rule trans :premises (@p113 @p112)) % 0.37/0.62 (step @p115 :rule bool-and-de-morgan :args (@t97 @t96 true)) % 0.37/0.62 (step @p116 :rule cong :premises (@p115) :args (@t189)) % 0.37/0.62 (step @p117 :rule cong :premises (@p116) :args (@t190)) % 0.37/0.62 (step @p118 :rule exists-elim :args ((= @t99 @t190))) % 0.37/0.62 (step @p119 :rule trans :premises (@p118 @p117)) % 0.37/0.62 (step @p120 :rule nary_cong :premises (@p119 @p114) :args (@t100)) % 0.37/0.62 (step @p121 :rule cong :premises (@p120) :args (@t101)) % 0.37/0.62 (step @p122 :rule trans :premises (@p121 @p109)) % 0.37/0.62 (step @p123 :rule nary_cong :premises (@p122 @p87) :args (@t102)) % 0.37/0.62 (step @p124 :rule cong :premises (@p123) :args (@t104)) % 0.37/0.62 (step @p125 :rule trans :premises (@p124 @p36)) % 0.37/0.62 (step @p126 :rule cong :premises (@p125) :args (@t105)) % 0.37/0.62 (step @p127 :rule trans :premises (@p126 @p14)) % 0.37/0.62 (step @p128 :rule eq_resolve :premises (@p12 @p127)) % 0.37/0.62 (step @p129 :rule aci_norm :args ((= (or false @t193 @t192) (or @t193 @t192)))) % 0.37/0.62 (step @p130 :rule refl :args (@t192)) % 0.37/0.62 (step @p131 :rule refl :args (@t193)) % 0.37/0.62 (step @p132 :rule eq-refl :args (@t62)) % 0.37/0.62 (step @p133 :rule cong :premises (@p132) :args (@t194)) % 0.37/0.62 (step @p134 :rule trans :premises (@p133 @p40)) % 0.37/0.62 (step @p135 :rule nary_cong :premises (@p134 @p131 @p130) :args (@t195)) % 0.37/0.62 (step @p136 :rule trans :premises (@p135 @p129)) % 0.37/0.62 (step @p137 :rule cong :premises (@p136) :args ((forall @t196 @t195))) % 0.37/0.62 (step @p138 :rule quant-var-elim-eq :args ((= (forall @t72 (or (not @t64) @t199 @t193 @t197)) @t195))) % 0.37/0.62 (step @p139 :rule refl :args (@t197)) % 0.37/0.62 (step @p140 :rule refl :args (@t193)) % 0.37/0.62 (step @p141 :rule refl :args (@t199)) % 0.37/0.62 (step @p142 :rule eq-symm :args (@t62 @t63)) % 0.37/0.62 (step @p143 :rule cong :premises (@p142) :args (@t199)) % 0.37/0.62 (step @p144 :rule nary_cong :premises (@p143 @p141 @p140 @p139) :args (@t200)) % 0.37/0.62 (step @p145 :rule aci_norm :args ((= @t201 @t200))) % 0.37/0.62 (step @p146 :rule trans :premises (@p145 @p144)) % 0.37/0.62 (step @p147 :rule cong :premises (@p146) :args (@t202)) % 0.37/0.62 (step @p148 :rule trans :premises (@p147 @p138)) % 0.37/0.62 (step @p149 :rule cong :premises (@p148) :args (@t203)) % 0.37/0.62 (step @p150 :rule quant-merge-prenex :args ((= @t203 @t204))) % 0.37/0.62 (step @p151 :rule symm :premises (@p150)) % 0.37/0.62 (step @p152 :rule quant_var_reordering :args ((= (forall @t205 @t201) @t204))) % 0.37/0.62 (step @p153 :rule trans :premises (@p152 @p151 @p149)) % 0.37/0.62 (step @p154 :rule trans :premises (@p153 @p137)) % 0.37/0.62 (step @p155 :rule aci_norm :args ((= @t207 @t201))) % 0.37/0.62 (step @p156 :rule cong :premises (@p155) :args (@t208)) % 0.37/0.62 (step @p157 :rule trans :premises (@p156 @p154)) % 0.37/0.62 (step @p158 :rule quant-merge-prenex :args ((= (forall @t72 @t209) @t208))) % 0.37/0.62 (step @p159 :rule alpha_equiv :args (@t210 (@list @t191) (@list @t65))) % 0.37/0.62 (step @p160 :rule nary_cong :premises (@p159 @p141) :args (@t211)) % 0.37/0.62 (step @p161 :rule quant-miniscope-or :args ((= @t209 @t211))) % 0.37/0.62 (step @p162 :rule trans :premises (@p161 @p160)) % 0.37/0.62 (step @p163 :rule symm :premises (@p162)) % 0.37/0.62 (step @p164 :rule cong :premises (@p163) :args ((forall @t72 (or @t212 @t199)))) % 0.37/0.62 (step @p165 :rule trans :premises (@p164 @p158)) % 0.37/0.62 (step @p166 :rule trans :premises (@p165 @p157)) % 0.37/0.62 (step @p167 :rule bool-double-not-elim :args (@t212)) % 0.37/0.62 (step @p168 :rule nary_cong :premises (@p167 @p141) :args ((or (not @t213) @t199))) % 0.37/0.62 (step @p169 :rule bool-and-de-morgan :args (@t213 @t198 true)) % 0.37/0.62 (step @p170 :rule trans :premises (@p169 @p168)) % 0.37/0.62 (step @p171 :rule cong :premises (@p170) :args (@t215)) % 0.37/0.62 (step @p172 :rule trans :premises (@p171 @p166)) % 0.37/0.62 (step @p173 :rule cong :premises (@p172) :args (@t216)) % 0.37/0.62 (step @p174 :rule exists-elim :args ((= (exists @t72 @t214) @t216))) % 0.37/0.62 (step @p175 :rule trans :premises (@p174 @p173)) % 0.37/0.62 (step @p176 :rule eq-symm :args (@t63 @t62)) % 0.37/0.62 (step @p177 :rule bool-and-de-morgan :args (@t67 @t66 true)) % 0.37/0.62 (step @p178 :rule cong :premises (@p177) :args (@t217)) % 0.37/0.62 (step @p179 :rule cong :premises (@p178) :args (@t218)) % 0.37/0.62 (step @p180 :rule exists-elim :args ((= @t70 @t218))) % 0.37/0.62 (step @p181 :rule trans :premises (@p180 @p179)) % 0.37/0.62 (step @p182 :rule nary_cong :premises (@p181 @p176) :args (@t71)) % 0.37/0.62 (step @p183 :rule cong :premises (@p182) :args (@t73)) % 0.37/0.62 (step @p184 :rule trans :premises (@p183 @p175)) % 0.37/0.62 (step @p185 :rule cong :premises (@p184) :args (@t74)) % 0.37/0.62 (step @p186 :rule eq_resolve :premises (@p8 @p185)) % 0.37/0.62 (step @p187 :rule instantiate :premises (@p186) :args ((@list @t233))) % 0.37/0.62 (step @p188 :rule skolemize :premises (@p187)) % 0.37/0.62 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@p202 :rule bool-and-de-morgan :args (@t243 @t244 true)) % 0.37/0.62 (step @p203 :rule cong :premises (@p202) :args (@t246)) % 0.37/0.62 (step @p204 :rule cong :premises (@p203) :args (@t247)) % 0.37/0.62 (step @p205 :rule exists-elim :args ((= (exists @t26 @t245) @t247))) % 0.37/0.62 (step @p206 :rule trans :premises (@p205 @p204)) % 0.37/0.62 (step @p207 :rule aci_norm :args ((= (or false @t244) @t244))) % 0.37/0.62 (step @p208 :rule aci_norm :args ((= (and @t244 true) @t244))) % 0.37/0.62 (step @p209 :rule eq-refl :args (@t14)) % 0.37/0.62 (step @p210 :rule refl :args (@t244)) % 0.37/0.62 (step @p211 :rule nary_cong :premises (@p210 @p209) :args (@t249)) % 0.37/0.62 (step @p212 :rule trans :premises (@p211 @p208)) % 0.37/0.62 (step @p213 :rule cong :premises (@p209) :args (@t250)) % 0.37/0.62 (step @p214 :rule trans :premises (@p213 @p40)) % 0.37/0.62 (step @p215 :rule nary_cong :premises (@p214 @p212) :args (@t251)) % 0.37/0.62 (step @p216 :rule trans :premises (@p215 @p207)) % 0.37/0.62 (step @p217 :rule quant-var-elim-eq :args ((= (forall @t256 (or (not (= @t252 @t14)) @t255 @t254)) @t251))) % 0.37/0.62 (step @p218 :rule refl :args (@t254)) % 0.37/0.62 (step @p219 :rule refl :args (@t255)) % 0.37/0.62 (step @p220 :rule eq-symm :args (@t14 @t252)) % 0.37/0.62 (step @p221 :rule cong :premises (@p220) :args (@t255)) % 0.37/0.62 (step @p222 :rule nary_cong :premises (@p221 @p219 @p218) :args (@t257)) % 0.37/0.62 (step @p223 :rule aci_norm :args ((= @t258 @t257))) % 0.37/0.62 (step @p224 :rule trans :premises (@p223 @p222)) % 0.37/0.62 (step @p225 :rule cong :premises (@p224) :args (@t259)) % 0.37/0.62 (step @p226 :rule trans :premises (@p225 @p217)) % 0.37/0.62 (step @p227 :rule trans :premises (@p226 @p216)) % 0.37/0.62 (step @p228 :rule refl :args (@t243)) % 0.37/0.62 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((and @t243 @t259))) % 0.37/0.62 (step @p230 :rule alpha_equiv :args (@t264 @t265 (@list @t252))) % 0.37/0.62 (step @p231 :rule 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@p245 :rule nary_cong :premises (@p244 @p241) :args (@t23)) % 0.37/0.62 (step @p246 :rule cong :premises (@p245) :args (@t25)) % 0.37/0.62 (step @p247 :rule trans :premises (@p246 @p238)) % 0.37/0.62 (step @p248 :rule cong :premises (@p247) :args (@t27)) % 0.37/0.62 (step @p249 :rule trans :premises (@p248 @p206)) % 0.37/0.62 (step @p250 :rule cong :premises (@p249) :args (@t28)) % 0.37/0.62 (step @p251 :rule eq_resolve :premises (@p2 @p250)) % 0.37/0.62 (step @p252 :rule instantiate :premises (@p251) :args ((@list @t226))) % 0.37/0.62 (step @p253 :rule refl :args (@t272)) % 0.37/0.62 (step @p254 :rule bool-double-not-elim :args (@t232)) % 0.37/0.62 (step @p255 :rule nary_cong :premises (@p254 @p253) :args ((or (not @t273) @t272))) % 0.37/0.62 (step @p256 :rule refl :args (@t270)) % 0.37/0.62 (step @p257 :rule eq-symm :args (@t233 @t227)) % 0.37/0.62 (step @p258 :rule refl :args (@t229)) % 0.37/0.62 (step @p259 :rule nary_cong :premises (@p258 @p257) :args (@t274)) % 0.37/0.62 (step 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:args ((= (or false @t219) @t219))) % 0.37/0.62 (step @p289 :rule aci_norm :args ((= (and @t219 true) @t219))) % 0.37/0.62 (step @p290 :rule eq-refl :args (@t1)) % 0.37/0.62 (step @p291 :rule refl :args (@t219)) % 0.37/0.62 (step @p292 :rule nary_cong :premises (@p291 @p290) :args (@t284)) % 0.37/0.62 (step @p293 :rule trans :premises (@p292 @p289)) % 0.37/0.62 (step @p294 :rule cong :premises (@p290) :args (@t285)) % 0.37/0.62 (step @p295 :rule trans :premises (@p294 @p40)) % 0.37/0.62 (step @p296 :rule nary_cong :premises (@p295 @p293) :args (@t286)) % 0.37/0.62 (step @p297 :rule trans :premises (@p296 @p288)) % 0.37/0.62 (step @p298 :rule quant-var-elim-eq :args ((= (forall @t291 (or (not (= @t287 @t1)) @t290 @t289)) @t286))) % 0.37/0.62 (step @p299 :rule refl :args (@t289)) % 0.37/0.62 (step @p300 :rule refl :args (@t290)) % 0.37/0.62 (step @p301 :rule eq-symm :args (@t1 @t287)) % 0.37/0.62 (step @p302 :rule cong :premises (@p301) :args (@t290)) % 0.37/0.62 (step @p303 :rule nary_cong :premises (@p302 @p300 @p299) :args (@t292)) % 0.37/0.62 (step @p304 :rule aci_norm :args ((= @t293 @t292))) % 0.37/0.62 (step @p305 :rule trans :premises (@p304 @p303)) % 0.37/0.62 (step @p306 :rule cong :premises (@p305) :args (@t294)) % 0.37/0.62 (step @p307 :rule trans :premises (@p306 @p298)) % 0.37/0.62 (step @p308 :rule trans :premises (@p307 @p297)) % 0.37/0.62 (step @p309 :rule refl :args (@t224)) % 0.37/0.62 (step @p310 :rule nary_cong :premises (@p309 @p308) :args ((and @t224 @t294))) % 0.37/0.62 (step @p311 :rule alpha_equiv :args (@t299 @t300 (@list @t287))) % 0.37/0.62 (step @p312 :rule alpha_equiv :args (@t302 @t300 (@list @t220))) % 0.37/0.62 (step @p313 :rule nary_cong :premises (@p312 @p311) :args (@t303)) % 0.37/0.62 (step @p314 :rule quant-miniscope-and :args ((= (forall @t10 (and @t301 @t298)) @t303))) % 0.37/0.62 (step @p315 :rule trans :premises (@p314 @p313)) % 0.37/0.62 (step @p316 :rule trans :premises (@p315 @p310)) % 0.37/0.62 (step @p317 :rule bool-or-and-distrib :args (@t7 @t297 true @t296 false)) % 0.37/0.62 (step @p318 :rule cong :premises (@p317) :args ((forall @t10 (or (and @t7 @t297) @t296)))) % 0.37/0.62 (step @p319 :rule trans :premises (@p318 @p316)) % 0.37/0.62 (step @p320 :rule eq-symm :args (@t2 @t1)) % 0.37/0.62 (step @p321 :rule refl :args (@t4)) % 0.37/0.62 (step @p322 :rule nary_cong :premises (@p321 @p320) :args (@t5)) % 0.37/0.62 (step @p323 :rule cong :premises (@p320) :args (@t6)) % 0.37/0.62 (step @p324 :rule refl :args (@t7)) % 0.37/0.62 (step @p325 :rule nary_cong :premises (@p324 @p323) :args (@t8)) % 0.37/0.62 (step @p326 :rule nary_cong :premises (@p325 @p322) :args (@t9)) % 0.37/0.62 (step @p327 :rule cong :premises (@p326) :args (@t11)) % 0.37/0.62 (step @p328 :rule trans :premises (@p327 @p319)) % 0.37/0.62 (step @p329 :rule cong :premises (@p328) :args (@t13)) % 0.37/0.62 (step @p330 :rule trans :premises (@p329 @p287)) % 0.37/0.62 (step @p331 :rule eq_resolve :premises (@p1 @p330)) % 0.37/0.62 (step @p332 :rule refl :args (@t307)) % 0.37/0.62 (step @p333 :rule bool-double-not-elim :args (@t225)) % 0.37/0.62 (step @p334 :rule nary_cong :premises (@p333 @p332) :args ((or (not @t308) @t307))) % 0.37/0.62 (step @p335 :rule refl :args (@t305)) % 0.37/0.62 (step @p336 :rule eq-symm :args (@t226 @t220)) % 0.37/0.62 (step @p337 :rule refl :args (@t221)) % 0.37/0.62 (step @p338 :rule nary_cong :premises (@p337 @p336) :args (@t309)) % 0.37/0.62 (step @p339 :rule refl :args (@t222)) % 0.37/0.62 (step @p340 :rule nary_cong :premises (@p339 @p338) :args (@t310)) % 0.37/0.62 (step @p341 :rule cong :premises (@p340) :args (@t311)) % 0.37/0.62 (step @p342 :rule cong :premises (@p341) :args (@t312)) % 0.37/0.62 (step @p343 :rule nary_cong :premises (@p342 @p335) :args (@t313)) % 0.37/0.62 (step @p344 :rule cong :premises (@p343) :args (@t314)) % 0.37/0.62 (step @p345 :rule refl :args (@t308)) % 0.37/0.62 (step @p346 :rule cong :premises (@p345 @p344) :args ((=> @t308 @t314))) % 0.37/0.62 (assume-push @p374 @t308) % 0.37/0.62 (step @p348 :rule skolemize :premises (@p331)) % 0.37/0.62 (step-pop @p375 :rule scope :premises (@p348)) % 0.37/0.62 (step @p349 :rule process_scope :premises (@p375) :args (@t314)) % 0.37/0.62 (step @p351 :rule eq_resolve :premises (@p349 @p346)) % 0.37/0.62 (step @p352 :rule implies_elim :premises (@p351)) % 0.37/0.62 (step @p353 :rule eq_resolve :premises (@p352 @p334)) % 0.37/0.62 (step @p354 :rule chain_m_resolution :premises (@p353 @p331) :args (@t307 @t240 (@list @t225))) % 0.37/0.62 (step @p355 :rule bool-double-not-elim :args (@t304)) % 0.37/0.62 (step @p356 :rule refl :args (@t306)) % 0.37/0.62 (step @p357 :rule nary_cong :premises (@p356 @p355) :args ((or @t306 (not @t305)))) % 0.37/0.62 (step @p358 :rule cnf_or_neg :args (@t306 1)) % 0.37/0.62 (step @p359 :rule eq_resolve :premises (@p358 @p357)) % 0.37/0.62 (step @p360 :rule reordering :premises (@p359) :args ((or @t304 @t306))) % 0.37/0.62 (step @p361 :rule chain_m_resolution :premises (@p360 @p354) :args (@t304 @t240 (@list @t306))) % 0.37/0.62 (step @p362 :rule cnf_or_pos :args (@t315)) % 0.37/0.62 (step @p363 :rule factoring :premises (@p362)) % 0.37/0.62 (step @p364 :rule reordering :premises (@p363) :args ((or @t305 @t270 @t238 @t236 @t316))) % 0.37/0.62 (step @p365 :rule chain_m_resolution :premises (@p364 @p361 @p282 @p201 @p195) :args (@t316 (@list false false false false) (@list @t304 @t269 @t237 @t235))) % 0.37/0.62 (assume-push @p376 @t118) % 0.37/0.62 (step @p367 :rule instantiate :premises (@p128) :args ((@list @t233 @t233 @t234 @t226 @t226))) % 0.37/0.62 (step-pop @p377 :rule scope :premises (@p367)) % 0.37/0.62 (step @p368 :rule process_scope :premises (@p377) :args (@t315)) % 0.37/0.62 (step @p370 :rule implies_elim :premises (@p368)) % 0.37/0.62 (step @p371 false :rule chain_m_resolution :premises (@p370 @p365 @p128) :args (false (@list true false) (@list @t315 @t118))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------