%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT029+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:46 AM UTC 2026 % Result : Theorem 0.31s 0.83s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : MGT029+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.43 % Computer : n009.cluster.edu % 0.16/0.43 % Model : x86_64 x86_64 % 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.43 % Memory : 8046.5625MB % 0.16/0.43 % OS : Linux 6.8.0-71-generic % 0.16/0.43 % CPULimit : 300 % 0.16/0.43 % WCLimit : 300 % 0.16/0.43 % DateTime : Mon Sep 7 12:17:07 UTC 2026 % 0.16/0.44 % CPUTime : % 0.25/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.83 % SZS status Theorem % 0.31/0.83 % SZS output start Proof % 0.31/0.83 ( % 0.31/0.83 (declare-sort $$unsorted 0) % 0.31/0.83 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.31/0.83 (declare-const tptp.equilibrium (-> $$unsorted $$unsorted)) % 0.31/0.83 (declare-const tptp.efficient_producers $$unsorted) % 0.31/0.83 (declare-const tptp.zero $$unsorted) % 0.31/0.83 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.83 (declare-const tptp.first_movers $$unsorted) % 0.31/0.83 (declare-const tptp.stable (-> $$unsorted Bool)) % 0.31/0.83 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.31/0.83 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.83 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.31/0.83 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.31/0.83 (define @t1 () (@var "Z" $$unsorted)) % 0.31/0.83 (define @t2 () (@var "X" $$unsorted)) % 0.31/0.83 (define @t3 () (tptp.greater @t2 @t1)) % 0.31/0.83 (define @t4 () (@var "Y" $$unsorted)) % 0.31/0.83 (define @t5 () (tptp.greater @t4 @t1)) % 0.31/0.83 (define @t6 () (tptp.greater @t2 @t4)) % 0.31/0.83 (define @t7 () (and @t6 @t5)) % 0.31/0.83 (define @t8 () (forall (@list @t2 @t4 @t1) (=> @t7 @t3))) % 0.31/0.83 (define @t9 () (@var "T2" $$unsorted)) % 0.31/0.83 (define @t10 () (@var "T1" $$unsorted)) % 0.31/0.83 (define @t11 () (tptp.greater @t10 @t9)) % 0.31/0.83 (define @t12 () (tptp.greater @t9 @t10)) % 0.31/0.83 (define @t13 () (or @t12 (= @t9 @t10) @t11)) % 0.31/0.83 (define @t14 () (@var "E" $$unsorted)) % 0.31/0.83 (define @t15 () (tptp.in_environment @t14 @t9)) % 0.31/0.83 (define @t16 () (tptp.in_environment @t14 @t10)) % 0.31/0.83 (define @t17 () (and @t16 @t15)) % 0.31/0.83 (define @t18 () (=> @t17 @t13)) % 0.31/0.83 (define @t19 () (@list @t14 @t10 @t9)) % 0.31/0.83 (define @t20 () (forall @t19 @t18)) % 0.31/0.83 (define @t21 () (forall (@list @t2 @t4) (= (tptp.greater_or_equal @t2 @t4) (or @t6 (= @t2 @t4))))) % 0.31/0.83 (define @t22 () (@var "T" $$unsorted)) % 0.31/0.83 (define @t23 () (tptp.growth_rate tptp.first_movers @t22)) % 0.31/0.83 (define @t24 () (tptp.growth_rate tptp.efficient_producers @t22)) % 0.31/0.83 (define @t25 () (and (tptp.greater @t24 tptp.zero) (tptp.greater tptp.zero @t23))) % 0.31/0.83 (define @t26 () (and (tptp.greater @t23 tptp.zero) (tptp.greater tptp.zero @t24))) % 0.31/0.83 (define @t27 () (and (= @t23 tptp.zero) (= @t24 tptp.zero))) % 0.31/0.83 (define @t28 () (or @t27 @t26 @t25)) % 0.31/0.83 (define @t29 () (tptp.greater_or_equal @t22 (tptp.equilibrium @t14))) % 0.31/0.83 (define @t30 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t14 @t22)) % 0.31/0.83 (define @t31 () (tptp.environment @t14)) % 0.31/0.83 (define @t32 () (and @t31 @t30 @t29)) % 0.31/0.83 (define @t33 () (=> @t32 @t28)) % 0.31/0.83 (define @t34 () (@list @t14 @t22)) % 0.31/0.83 (define @t35 () (forall @t34 @t33)) % 0.31/0.83 (define @t36 () (tptp.greater @t24 @t23)) % 0.31/0.83 (define @t37 () (@var "To" $$unsorted)) % 0.31/0.83 (define @t38 () (tptp.greater_or_equal @t22 @t37)) % 0.31/0.83 (define @t39 () (and @t30 @t38)) % 0.31/0.83 (define @t40 () (@list @t22)) % 0.31/0.83 (define @t41 () (forall @t40 (=> @t39 @t36))) % 0.31/0.83 (define @t42 () (tptp.in_environment @t14 @t37)) % 0.31/0.83 (define @t43 () (and @t42 @t41)) % 0.31/0.83 (define @t44 () (@list @t37)) % 0.31/0.83 (define @t45 () (exists @t44 @t43)) % 0.31/0.83 (define @t46 () (tptp.stable @t14)) % 0.31/0.83 (define @t47 () (and @t31 @t46)) % 0.31/0.83 (define @t48 () (=> @t47 @t45)) % 0.31/0.83 (define @t49 () (@list @t14)) % 0.31/0.83 (define @t50 () (forall @t49 @t48)) % 0.31/0.83 (define @t51 () (tptp.in_environment @t14 @t22)) % 0.31/0.83 (define @t52 () (and @t51 @t29)) % 0.31/0.83 (define @t53 () (exists @t40 @t52)) % 0.31/0.83 (define @t54 () (=> @t47 @t53)) % 0.31/0.83 (define @t55 () (forall @t49 @t54)) % 0.31/0.83 (define @t56 () (forall @t40 (=> @t39 @t25))) % 0.31/0.83 (define @t57 () (and @t42 @t56)) % 0.31/0.83 (define @t58 () (exists @t44 @t57)) % 0.31/0.83 (define @t59 () (=> @t47 @t58)) % 0.31/0.83 (define @t60 () (forall @t49 @t59)) % 0.31/0.83 (define @t61 () (not @t60)) % 0.31/0.83 (define @t62 () (not @t38)) % 0.31/0.83 (define @t63 () (not @t30)) % 0.31/0.83 (define @t64 () (or @t63 @t62 @t36)) % 0.31/0.83 (define @t65 () (forall @t40 @t64)) % 0.31/0.83 (define @t66 () (not @t42)) % 0.31/0.83 (define @t67 () (not (forall @t44 (or @t66 (not @t65))))) % 0.31/0.83 (define @t68 () (not @t46)) % 0.31/0.83 (define @t69 () (not @t31)) % 0.31/0.83 (define @t70 () (or @t69 @t68 @t67)) % 0.31/0.83 (define @t71 () (or @t69 @t68)) % 0.31/0.83 (define @t72 () (not @t47)) % 0.31/0.83 (define @t73 () (and @t42 @t65)) % 0.31/0.83 (define @t74 () (forall @t44 (not @t73))) % 0.31/0.83 (define @t75 () (not @t74)) % 0.31/0.83 (define @t76 () (or @t63 @t62)) % 0.31/0.83 (define @t77 () (not @t39)) % 0.31/0.83 (define @t78 () (or @t63 @t62 @t25)) % 0.31/0.83 (define @t79 () (forall @t40 @t78)) % 0.31/0.83 (define @t80 () (not (forall @t44 (or @t66 (not @t79))))) % 0.31/0.83 (define @t81 () (or @t69 @t68 @t80)) % 0.31/0.83 (define @t82 () (forall @t49 @t81)) % 0.31/0.83 (define @t83 () (@quantifiers_skolemize @t82 0)) % 0.31/0.83 (define @t84 () (@list @t83)) % 0.31/0.83 (define @t85 () (and @t42 @t79)) % 0.31/0.83 (define @t86 () (forall @t44 (not @t85))) % 0.31/0.83 (define @t87 () (not @t86)) % 0.31/0.83 (define @t88 () (tptp.stable @t83)) % 0.31/0.83 (define @t89 () (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t83 @t22))) % 0.31/0.83 (define @t90 () (not (tptp.in_environment @t83 @t37))) % 0.31/0.83 (define @t91 () (forall @t44 (or @t90 (not (forall @t40 (or @t89 @t62 @t25)))))) % 0.31/0.83 (define @t92 () (not @t91)) % 0.31/0.83 (define @t93 () (not @t88)) % 0.31/0.83 (define @t94 () (tptp.environment @t83)) % 0.31/0.83 (define @t95 () (not @t94)) % 0.31/0.83 (define @t96 () (or @t95 @t93 @t92)) % 0.31/0.83 (define @t97 () (@list true)) % 0.31/0.83 (define @t98 () (@list @t96)) % 0.31/0.83 (define @t99 () (forall @t44 (or @t90 (not (forall @t40 (or @t89 @t62 @t36)))))) % 0.31/0.83 (define @t100 () (not @t99)) % 0.31/0.83 (define @t101 () (or @t95 @t93 @t100)) % 0.31/0.83 (define @t102 () (@list false false false)) % 0.31/0.83 (define @t103 () (@quantifiers_skolemize @t99 0)) % 0.31/0.83 (define @t104 () (not (tptp.greater_or_equal @t22 @t103))) % 0.31/0.83 (define @t105 () (forall @t40 (or @t89 @t104 @t36))) % 0.31/0.83 (define @t106 () (not @t105)) % 0.31/0.83 (define @t107 () (tptp.in_environment @t83 @t103)) % 0.31/0.83 (define @t108 () (not @t107)) % 0.31/0.83 (define @t109 () (or @t108 @t106)) % 0.31/0.83 (define @t110 () (@list @t109)) % 0.31/0.83 (define @t111 () (tptp.equilibrium @t83)) % 0.31/0.83 (define @t112 () (forall @t40 (or (not (tptp.in_environment @t83 @t22)) (not (tptp.greater_or_equal @t22 @t111))))) % 0.31/0.83 (define @t113 () (@quantifiers_skolemize @t112 0)) % 0.31/0.83 (define @t114 () (forall @t40 (or @t89 (not (tptp.greater_or_equal @t22 @t113)) @t25))) % 0.31/0.83 (define @t115 () (@quantifiers_skolemize @t114 0)) % 0.31/0.83 (define @t116 () (tptp.greater @t115 @t103)) % 0.31/0.83 (define @t117 () (= @t115 @t103)) % 0.31/0.83 (define @t118 () (or @t116 @t117)) % 0.31/0.83 (define @t119 () (tptp.greater_or_equal @t115 @t103)) % 0.31/0.83 (define @t120 () (= @t119 @t118)) % 0.31/0.83 (define @t121 () (= @t103 @t115)) % 0.31/0.83 (define @t122 () (or @t116 @t121)) % 0.31/0.83 (define @t123 () (= @t119 @t122)) % 0.31/0.83 (define @t124 () (@list false)) % 0.31/0.83 (define @t125 () (@list @t21)) % 0.31/0.83 (define @t126 () (not @t5)) % 0.31/0.83 (define @t127 () (not @t6)) % 0.31/0.83 (define @t128 () (tptp.greater @t113 @t103)) % 0.31/0.83 (define @t129 () (not @t128)) % 0.31/0.83 (define @t130 () (tptp.greater @t115 @t113)) % 0.31/0.83 (define @t131 () (not @t130)) % 0.31/0.83 (define @t132 () (or @t131 @t129 @t116)) % 0.31/0.83 (define @t133 () (or @t130 (= @t115 @t113))) % 0.31/0.83 (define @t134 () (tptp.greater_or_equal @t115 @t113)) % 0.31/0.83 (define @t135 () (= @t134 @t133)) % 0.31/0.83 (define @t136 () (= @t113 @t115)) % 0.31/0.83 (define @t137 () (or @t130 @t136)) % 0.31/0.83 (define @t138 () (= @t134 @t137)) % 0.31/0.83 (define @t139 () (not @t29)) % 0.31/0.83 (define @t140 () (not (forall @t40 (or (not @t51) @t139)))) % 0.31/0.83 (define @t141 () (or @t69 @t68 @t140)) % 0.31/0.83 (define @t142 () (forall @t40 (not @t52))) % 0.31/0.83 (define @t143 () (not @t142)) % 0.31/0.83 (define @t144 () (not @t112)) % 0.31/0.83 (define @t145 () (or @t95 @t93 @t144)) % 0.31/0.83 (define @t146 () (tptp.in_environment @t83 @t113)) % 0.31/0.83 (define @t147 () (tptp.greater_or_equal @t113 @t111)) % 0.31/0.83 (define @t148 () (not @t147)) % 0.31/0.83 (define @t149 () (not @t146)) % 0.31/0.83 (define @t150 () (or @t149 @t148)) % 0.31/0.83 (define @t151 () (@list @t150)) % 0.31/0.83 (define @t152 () (not @t114)) % 0.31/0.83 (define @t153 () (or @t149 @t152)) % 0.31/0.83 (define @t154 () (@list false false)) % 0.31/0.83 (define @t155 () (tptp.growth_rate tptp.first_movers @t115)) % 0.31/0.83 (define @t156 () (tptp.greater tptp.zero @t155)) % 0.31/0.83 (define @t157 () (tptp.growth_rate tptp.efficient_producers @t115)) % 0.31/0.83 (define @t158 () (tptp.greater @t157 tptp.zero)) % 0.31/0.83 (define @t159 () (and @t158 @t156)) % 0.31/0.83 (define @t160 () (not @t134)) % 0.31/0.83 (define @t161 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t83 @t115)) % 0.31/0.83 (define @t162 () (not @t161)) % 0.31/0.83 (define @t163 () (or @t162 @t160 @t159)) % 0.31/0.83 (define @t164 () (@list @t163)) % 0.31/0.83 (define @t165 () (not @t136)) % 0.31/0.83 (define @t166 () (not @t116)) % 0.31/0.83 (define @t167 () (not @t166)) % 0.31/0.83 (define @t168 () (= false true)) % 0.31/0.83 (define @t169 () (and @t166 @t136 @t128)) % 0.31/0.83 (define @t170 () (@list false false true false)) % 0.31/0.83 (define @t171 () (forall @t40 (or @t89 @t104 @t25))) % 0.31/0.83 (define @t172 () (@quantifiers_skolemize @t171 0)) % 0.31/0.83 (define @t173 () (tptp.greater @t172 @t111)) % 0.31/0.83 (define @t174 () (or @t173 (= @t172 @t111))) % 0.31/0.83 (define @t175 () (tptp.greater_or_equal @t172 @t111)) % 0.31/0.83 (define @t176 () (= @t175 @t174)) % 0.31/0.83 (define @t177 () (or @t173 (= @t111 @t172))) % 0.31/0.83 (define @t178 () (= @t175 @t177)) % 0.31/0.83 (define @t179 () (tptp.growth_rate tptp.efficient_producers @t172)) % 0.31/0.83 (define @t180 () (= tptp.zero @t179)) % 0.31/0.83 (define @t181 () (tptp.growth_rate tptp.first_movers @t172)) % 0.31/0.83 (define @t182 () (= tptp.zero @t181)) % 0.31/0.83 (define @t183 () (and @t182 @t180)) % 0.31/0.83 (define @t184 () (not @t183)) % 0.31/0.83 (define @t185 () (tptp.greater @t181 tptp.zero)) % 0.31/0.83 (define @t186 () (or @t185 @t182)) % 0.31/0.83 (define @t187 () (not @t185)) % 0.31/0.83 (define @t188 () (not @t182)) % 0.31/0.83 (define @t189 () (tptp.greater tptp.zero @t179)) % 0.31/0.83 (define @t190 () (and @t185 @t189)) % 0.31/0.83 (define @t191 () (not @t190)) % 0.31/0.83 (define @t192 () (not @t171)) % 0.31/0.83 (define @t193 () (or @t108 @t192)) % 0.31/0.83 (define @t194 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t83 @t172)) % 0.31/0.83 (define @t195 () (tptp.greater tptp.zero @t181)) % 0.31/0.83 (define @t196 () (tptp.greater @t179 tptp.zero)) % 0.31/0.83 (define @t197 () (and @t196 @t195)) % 0.31/0.83 (define @t198 () (tptp.greater_or_equal @t172 @t103)) % 0.31/0.83 (define @t199 () (not @t198)) % 0.31/0.83 (define @t200 () (not @t194)) % 0.31/0.83 (define @t201 () (or @t200 @t199 @t197)) % 0.31/0.83 (define @t202 () (@list @t201)) % 0.31/0.83 (define @t203 () (and (= tptp.zero @t23) (= tptp.zero @t24))) % 0.31/0.83 (define @t204 () (or @t203 @t26 @t25)) % 0.31/0.83 (define @t205 () (or @t69 @t63 @t139)) % 0.31/0.83 (define @t206 () (not @t175)) % 0.31/0.83 (define @t207 () (or @t95 @t200 @t206 @t183 @t190 @t197)) % 0.31/0.83 (define @t208 () (@list false true false false true true true true)) % 0.31/0.83 (define @t209 () (tptp.greater @t179 @t181)) % 0.31/0.83 (define @t210 () (or @t200 @t199 @t209)) % 0.31/0.83 (define @t211 () (not @t209)) % 0.31/0.83 (define @t212 () (or @t211 @t187 @t196)) % 0.31/0.83 (define @t213 () (not @t189)) % 0.31/0.83 (define @t214 () (or @t213 @t211 @t195)) % 0.31/0.83 (define @t215 () (and @t182 @t209)) % 0.31/0.83 (define @t216 () (not @t180)) % 0.31/0.83 (define @t217 () (not @t195)) % 0.31/0.83 (define @t218 () (= true false)) % 0.31/0.83 (define @t219 () (not @t177)) % 0.31/0.83 (define @t220 () (@list true false)) % 0.31/0.83 (define @t221 () (not @t173)) % 0.31/0.83 (define @t222 () (tptp.greater @t113 @t111)) % 0.31/0.83 (define @t223 () (not @t222)) % 0.31/0.83 (define @t224 () (tptp.greater @t172 @t113)) % 0.31/0.83 (define @t225 () (not @t224)) % 0.31/0.83 (define @t226 () (or @t225 @t223 @t173)) % 0.31/0.83 (define @t227 () (or @t222 (= @t113 @t111))) % 0.31/0.83 (define @t228 () (= @t147 @t227)) % 0.31/0.83 (define @t229 () (= @t111 @t113)) % 0.31/0.83 (define @t230 () (or @t222 @t229)) % 0.31/0.83 (define @t231 () (= @t147 @t230)) % 0.31/0.83 (define @t232 () (not @t229)) % 0.31/0.83 (define @t233 () (and @t221 @t229 @t224)) % 0.31/0.83 (define @t234 () (tptp.greater @t103 @t113)) % 0.31/0.83 (define @t235 () (not @t234)) % 0.31/0.83 (define @t236 () (tptp.greater @t172 @t103)) % 0.31/0.83 (define @t237 () (not @t236)) % 0.31/0.83 (define @t238 () (or @t237 @t235 @t224)) % 0.31/0.83 (define @t239 () (= @t10 @t9)) % 0.31/0.83 (define @t240 () (not @t15)) % 0.31/0.83 (define @t241 () (not @t16)) % 0.31/0.83 (define @t242 () (or @t241 @t240 @t12 @t239 @t11)) % 0.31/0.83 (define @t243 () (or @t12 @t239 @t11)) % 0.31/0.83 (define @t244 () (= @t103 @t113)) % 0.31/0.83 (define @t245 () (or @t108 @t149 @t128 @t244 @t234)) % 0.31/0.83 (define @t246 () (not @t244)) % 0.31/0.83 (define @t247 () (not @t225)) % 0.31/0.83 (define @t248 () (and @t236 @t244 @t225)) % 0.31/0.83 (define @t249 () (or @t236 (= @t172 @t103))) % 0.31/0.83 (define @t250 () (= @t198 @t249)) % 0.31/0.83 (define @t251 () (= @t103 @t172)) % 0.31/0.83 (define @t252 () (or @t236 @t251)) % 0.31/0.83 (define @t253 () (= @t198 @t252)) % 0.31/0.83 (define @t254 () (not @t251)) % 0.31/0.83 (define @t255 () (and @t251 @t225)) % 0.31/0.83 (define @t256 () (forall @t49 @t141)) % 0.31/0.83 (define @t257 () (not @t96)) % 0.31/0.83 (define @t258 () (not @t82)) % 0.31/0.83 (define @t259 () (not @t150)) % 0.31/0.83 (define @t260 () (tptp.in_environment @t83 @t115)) % 0.31/0.83 (define @t261 () (and @t146 @t136)) % 0.31/0.83 (define @t262 () (tptp.greater @t103 @t115)) % 0.31/0.83 (define @t263 () (not @t260)) % 0.31/0.83 (define @t264 () (or @t263 @t108 @t262 @t117 @t116)) % 0.31/0.83 (define @t265 () (forall @t19 @t242)) % 0.31/0.83 (define @t266 () (tptp.greater_or_equal @t115 @t111)) % 0.31/0.83 (define @t267 () (and @t147 @t136)) % 0.31/0.83 (define @t268 () (= tptp.zero @t157)) % 0.31/0.83 (define @t269 () (tptp.greater tptp.zero @t157)) % 0.31/0.83 (define @t270 () (or @t269 @t268)) % 0.31/0.83 (define @t271 () (not @t269)) % 0.31/0.83 (define @t272 () (not @t268)) % 0.31/0.83 (define @t273 () (tptp.greater @t155 tptp.zero)) % 0.31/0.83 (define @t274 () (and @t273 @t269)) % 0.31/0.83 (define @t275 () (not @t274)) % 0.31/0.83 (define @t276 () (= tptp.zero @t155)) % 0.31/0.83 (define @t277 () (and @t276 @t268)) % 0.31/0.83 (define @t278 () (not @t277)) % 0.31/0.83 (define @t279 () (not @t266)) % 0.31/0.83 (define @t280 () (or @t95 @t162 @t279 @t277 @t274 @t159)) % 0.31/0.83 (define @t281 () (tptp.greater_or_equal tptp.zero @t157)) % 0.31/0.83 (define @t282 () (= @t281 @t270)) % 0.31/0.83 (define @t283 () (not @t270)) % 0.31/0.83 (define @t284 () (tptp.growth_rate tptp.efficient_producers @t113)) % 0.31/0.83 (define @t285 () (tptp.greater_or_equal tptp.zero @t284)) % 0.31/0.83 (define @t286 () (and @t136 @t281)) % 0.31/0.83 (define @t287 () (= tptp.zero @t284)) % 0.31/0.83 (define @t288 () (tptp.greater tptp.zero @t284)) % 0.31/0.83 (define @t289 () (or @t288 @t287)) % 0.31/0.83 (define @t290 () (= @t285 @t289)) % 0.31/0.83 (define @t291 () (tptp.greater @t157 @t155)) % 0.31/0.83 (define @t292 () (tptp.greater @t284 @t155)) % 0.31/0.83 (define @t293 () (and @t136 @t291)) % 0.31/0.83 (define @t294 () (not @t273)) % 0.31/0.83 (define @t295 () (not @t291)) % 0.31/0.83 (define @t296 () (or @t295 @t294 @t158)) % 0.31/0.83 (define @t297 () (not @t292)) % 0.31/0.83 (define @t298 () (not @t288)) % 0.31/0.83 (define @t299 () (or @t298 @t297 @t156)) % 0.31/0.83 (define @t300 () (not @t287)) % 0.31/0.83 (define @t301 () (= @t284 @t157)) % 0.31/0.83 (define @t302 () (and @t136 @t272)) % 0.31/0.83 (define @t303 () (and @t268 @t291)) % 0.31/0.83 (define @t304 () (not @t276)) % 0.31/0.83 (define @t305 () (not @t158)) % 0.31/0.83 (define @t306 () (not @t305)) % 0.31/0.83 (define @t307 () (and @t305 @t136 @t268 @t276 @t291)) % 0.31/0.83 (define @t308 () (forall @t49 @t70)) % 0.31/0.83 (define @t309 () (not @t109)) % 0.31/0.83 (define @t310 () (not @t119)) % 0.31/0.83 (define @t311 () (or @t162 @t310 @t291)) % 0.31/0.83 (define @t312 () (not @t163)) % 0.31/0.83 (define @t313 () (or @t263 @t108 @t262 @t121 @t116)) % 0.31/0.83 (define @t314 () (not @t121)) % 0.31/0.83 (define @t315 () (and @t136 @t314)) % 0.31/0.83 (define @t316 () (not @t262)) % 0.31/0.83 (define @t317 () (and @t225 @t251 @t136 @t262)) % 0.31/0.83 (define @t318 () (and @t166 @t244 @t130)) % 0.31/0.83 (define @t319 () (or @t271 @t295 @t156)) % 0.31/0.83 (define @t320 () (tptp.greater @t115 @t111)) % 0.31/0.83 (define @t321 () (or @t320 (= @t115 @t111))) % 0.31/0.83 (define @t322 () (= @t266 @t321)) % 0.31/0.83 (define @t323 () (or @t320 (= @t111 @t115))) % 0.31/0.83 (define @t324 () (= @t266 @t323)) % 0.31/0.83 (define @t325 () (and @t229 @t134)) % 0.31/0.83 (define @t326 () (or @t131 @t223 @t320)) % 0.31/0.83 (assume @p1 @t8) % 0.31/0.83 (assume @p2 @t20) % 0.31/0.83 (assume @p3 @t21) % 0.31/0.83 (assume @p4 @t35) % 0.31/0.83 (assume @p5 @t50) % 0.31/0.83 (assume @p6 @t55) % 0.31/0.83 (assume @p7 @t61) % 0.31/0.83 (assume @p8 true) % 0.31/0.83 (step @p9 :rule aci_norm :args ((= (or @t71 @t67) @t70))) % 0.31/0.83 (step @p10 :rule refl :args (@t67)) % 0.31/0.83 (step @p11 :rule bool-and-de-morgan :args (@t31 @t46 true)) % 0.31/0.83 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t72 @t67))) % 0.31/0.83 (step @p13 :rule trans :premises (@p12 @p9)) % 0.31/0.83 (step @p14 :rule bool-impl-elim :args (@t47 @t67)) % 0.31/0.83 (step @p15 :rule trans :premises (@p14 @p13)) % 0.31/0.83 (step @p16 :rule cong :premises (@p15) :args ((forall @t49 (=> @t47 @t67)))) % 0.31/0.83 (step @p17 :rule bool-and-de-morgan :args (@t42 @t65 true)) % 0.31/0.83 (step @p18 :rule cong :premises (@p17) :args (@t74)) % 0.31/0.83 (step @p19 :rule cong :premises (@p18) :args (@t75)) % 0.31/0.83 (step @p20 :rule exists-elim :args ((= (exists @t44 @t73) @t75))) % 0.31/0.83 (step @p21 :rule trans :premises (@p20 @p19)) % 0.31/0.83 (step @p22 :rule aci_norm :args ((= (or @t76 @t36) @t64))) % 0.31/0.83 (step @p23 :rule refl :args (@t36)) % 0.31/0.83 (step @p24 :rule bool-and-de-morgan :args (@t30 @t38 true)) % 0.31/0.83 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t77 @t36))) % 0.31/0.83 (step @p26 :rule trans :premises (@p25 @p22)) % 0.31/0.83 (step @p27 :rule bool-impl-elim :args (@t39 @t36)) % 0.31/0.83 (step @p28 :rule trans :premises (@p27 @p26)) % 0.31/0.83 (step @p29 :rule cong :premises (@p28) :args (@t41)) % 0.31/0.83 (step @p30 :rule refl :args (@t42)) % 0.31/0.83 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t43)) % 0.31/0.83 (step @p32 :rule cong :premises (@p31) :args (@t45)) % 0.31/0.83 (step @p33 :rule trans :premises (@p32 @p21)) % 0.31/0.83 (step @p34 :rule refl :args (@t47)) % 0.31/0.83 (step @p35 :rule cong :premises (@p34 @p33) :args (@t48)) % 0.31/0.83 (step @p36 :rule cong :premises (@p35) :args (@t50)) % 0.31/0.83 (step @p37 :rule trans :premises (@p36 @p16)) % 0.31/0.83 (step @p38 :rule eq_resolve :premises (@p5 @p37)) % 0.31/0.83 (step @p39 :rule instantiate :premises (@p38) :args (@t84)) % 0.31/0.83 (step @p40 :rule aci_norm :args ((= (or @t71 @t80) @t81))) % 0.31/0.83 (step @p41 :rule refl :args (@t80)) % 0.31/0.83 (step @p42 :rule nary_cong :premises (@p11 @p41) :args ((or @t72 @t80))) % 0.31/0.83 (step @p43 :rule trans :premises (@p42 @p40)) % 0.31/0.83 (step @p44 :rule bool-impl-elim :args (@t47 @t80)) % 0.31/0.83 (step @p45 :rule trans :premises (@p44 @p43)) % 0.31/0.83 (step @p46 :rule cong :premises (@p45) :args ((forall @t49 (=> @t47 @t80)))) % 0.31/0.83 (step @p47 :rule bool-and-de-morgan :args (@t42 @t79 true)) % 0.31/0.83 (step @p48 :rule cong :premises (@p47) :args (@t86)) % 0.31/0.83 (step @p49 :rule cong :premises (@p48) :args (@t87)) % 0.31/0.83 (step @p50 :rule exists-elim :args ((= (exists @t44 @t85) @t87))) % 0.31/0.83 (step @p51 :rule trans :premises (@p50 @p49)) % 0.31/0.83 (step @p52 :rule aci_norm :args ((= (or @t76 @t25) @t78))) % 0.31/0.83 (step @p53 :rule refl :args (@t25)) % 0.31/0.83 (step @p54 :rule nary_cong :premises (@p24 @p53) :args ((or @t77 @t25))) % 0.31/0.83 (step @p55 :rule trans :premises (@p54 @p52)) % 0.31/0.83 (step @p56 :rule bool-impl-elim :args (@t39 @t25)) % 0.31/0.83 (step @p57 :rule trans :premises (@p56 @p55)) % 0.31/0.83 (step @p58 :rule cong :premises (@p57) :args (@t56)) % 0.31/0.83 (step @p59 :rule nary_cong :premises (@p30 @p58) :args (@t57)) % 0.31/0.83 (step @p60 :rule cong :premises (@p59) :args (@t58)) % 0.31/0.83 (step @p61 :rule trans :premises (@p60 @p51)) % 0.31/0.83 (step @p62 :rule cong :premises (@p34 @p61) :args (@t59)) % 0.31/0.83 (step @p63 :rule cong :premises (@p62) :args (@t60)) % 0.31/0.83 (step @p64 :rule trans :premises (@p63 @p46)) % 0.31/0.83 (step @p65 :rule cong :premises (@p64) :args (@t61)) % 0.31/0.83 (step @p66 :rule eq_resolve :premises (@p7 @p65)) % 0.31/0.83 (step @p67 :rule skolemize :premises (@p66)) % 0.31/0.83 (step @p68 :rule bool-double-not-elim :args (@t88)) % 0.31/0.83 (step @p69 :rule refl :args (@t96)) % 0.31/0.83 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t96 (not @t93)))) % 0.31/0.83 (step @p71 :rule cnf_or_neg :args (@t96 1)) % 0.31/0.83 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.31/0.83 (step @p73 :rule reordering :premises (@p72) :args ((or @t88 @t96))) % 0.31/0.83 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t88 @t97 @t98)) % 0.31/0.83 (step @p75 :rule bool-double-not-elim :args (@t94)) % 0.31/0.83 (step @p76 :rule nary_cong :premises (@p69 @p75) :args ((or @t96 (not @t95)))) % 0.31/0.83 (step @p77 :rule cnf_or_neg :args (@t96 0)) % 0.31/0.83 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.31/0.83 (step @p79 :rule reordering :premises (@p78) :args ((or @t94 @t96))) % 0.31/0.83 (step @p80 :rule chain_m_resolution :premises (@p79 @p67) :args (@t94 @t97 @t98)) % 0.31/0.83 (step @p81 :rule cnf_or_pos :args (@t101)) % 0.31/0.83 (step @p82 :rule reordering :premises (@p81) :args ((or @t95 @t93 @t100 (not @t101)))) % 0.31/0.83 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p74 @p39) :args (@t100 @t102 (@list @t94 @t88 @t101))) % 0.31/0.83 (step @p84 :rule skolemize :premises (@p83)) % 0.31/0.83 (step @p85 :rule bool-double-not-elim :args (@t105)) % 0.31/0.83 (step @p86 :rule refl :args (@t109)) % 0.31/0.83 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t109 (not @t106)))) % 0.31/0.83 (step @p88 :rule cnf_or_neg :args (@t109 1)) % 0.31/0.83 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.31/0.83 (step @p90 :rule reordering :premises (@p89) :args ((or @t105 @t109))) % 0.31/0.83 (step @p91 :rule chain_m_resolution :premises (@p90 @p84) :args (@t105 @t97 @t110)) % 0.31/0.83 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t115))) % 0.31/0.83 (step @p93 :rule eq-symm :args (@t115 @t103)) % 0.31/0.83 (step @p94 :rule refl :args (@t116)) % 0.31/0.83 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t118)) % 0.31/0.83 (step @p96 :rule refl :args (@t119)) % 0.31/0.83 (step @p97 :rule cong :premises (@p96 @p95) :args (@t120)) % 0.31/0.83 (step @p98 :rule refl :args (@t21)) % 0.31/0.83 (step @p99 :rule cong :premises (@p98 @p97) :args ((=> @t21 @t120))) % 0.31/0.83 (assume-push @p985 @t21) % 0.31/0.83 (step @p101 :rule instantiate :premises (@p3) :args ((@list @t115 @t103))) % 0.31/0.83 (step-pop @p986 :rule scope :premises (@p101)) % 0.31/0.83 (step @p102 :rule process_scope :premises (@p986) :args (@t120)) % 0.31/0.83 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 0.31/0.83 (step @p105 :rule implies_elim :premises (@p104)) % 0.31/0.83 (step @p106 :rule chain_m_resolution :premises (@p105 @p3) :args (@t123 @t124 @t125)) % 0.31/0.83 (step @p107 :rule aci_norm :args ((= (or (or @t127 @t126) @t3) (or @t127 @t126 @t3)))) % 0.31/0.83 (step @p108 :rule refl :args (@t3)) % 0.31/0.83 (step @p109 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 0.31/0.83 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or (not @t7) @t3))) % 0.31/0.83 (step @p111 :rule trans :premises (@p110 @p107)) % 0.31/0.83 (step @p112 :rule bool-impl-elim :args (@t7 @t3)) % 0.31/0.83 (step @p113 :rule trans :premises (@p112 @p111)) % 0.31/0.83 (step @p114 :rule cong :premises (@p113) :args (@t8)) % 0.31/0.83 (step @p115 :rule eq_resolve :premises (@p1 @p114)) % 0.31/0.83 (step @p116 :rule instantiate :premises (@p115) :args ((@list @t115 @t113 @t103))) % 0.31/0.83 (step @p117 :rule cnf_or_pos :args (@t132)) % 0.31/0.83 (step @p118 :rule reordering :premises (@p117) :args ((or @t129 @t131 @t116 (not @t132)))) % 0.31/0.83 (step @p119 :rule eq-symm :args (@t115 @t113)) % 0.31/0.83 (step @p120 :rule refl :args (@t130)) % 0.31/0.83 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t133)) % 0.31/0.83 (step @p122 :rule refl :args (@t134)) % 0.31/0.83 (step @p123 :rule cong :premises (@p122 @p121) :args (@t135)) % 0.31/0.83 (step @p124 :rule cong :premises (@p98 @p123) :args ((=> @t21 @t135))) % 0.31/0.83 (assume-push @p987 @t21) % 0.31/0.83 (step @p126 :rule instantiate :premises (@p3) :args ((@list @t115 @t113))) % 0.31/0.83 (step-pop @p988 :rule scope :premises (@p126)) % 0.31/0.83 (step @p127 :rule process_scope :premises (@p988) :args (@t135)) % 0.31/0.83 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 0.31/0.83 (step @p130 :rule implies_elim :premises (@p129)) % 0.31/0.83 (step @p131 :rule chain_m_resolution :premises (@p130 @p3) :args (@t138 @t124 @t125)) % 0.31/0.83 (step @p132 :rule bool-double-not-elim :args (@t91)) % 0.31/0.83 (step @p133 :rule nary_cong :premises (@p69 @p132) :args ((or @t96 (not @t92)))) % 0.31/0.83 (step @p134 :rule cnf_or_neg :args (@t96 2)) % 0.31/0.83 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 0.31/0.83 (step @p136 :rule reordering :premises (@p135) :args ((or @t91 @t96))) % 0.31/0.83 (step @p137 :rule chain_m_resolution :premises (@p136 @p67) :args (@t91 @t97 @t98)) % 0.31/0.83 (step @p138 :rule instantiate :premises (@p137) :args ((@list @t113))) % 0.31/0.83 (step @p139 :rule aci_norm :args ((= (or @t71 @t140) @t141))) % 0.31/0.83 (step @p140 :rule refl :args (@t140)) % 0.31/0.83 (step @p141 :rule nary_cong :premises (@p11 @p140) :args ((or @t72 @t140))) % 0.31/0.83 (step @p142 :rule trans :premises (@p141 @p139)) % 0.31/0.83 (step @p143 :rule bool-impl-elim :args (@t47 @t140)) % 0.31/0.83 (step @p144 :rule trans :premises (@p143 @p142)) % 0.31/0.83 (step @p145 :rule cong :premises (@p144) :args ((forall @t49 (=> @t47 @t140)))) % 0.31/0.83 (step @p146 :rule bool-and-de-morgan :args (@t51 @t29 true)) % 0.31/0.83 (step @p147 :rule cong :premises (@p146) :args (@t142)) % 0.31/0.83 (step @p148 :rule cong :premises (@p147) :args (@t143)) % 0.31/0.83 (step @p149 :rule exists-elim :args ((= @t53 @t143))) % 0.31/0.83 (step @p150 :rule trans :premises (@p149 @p148)) % 0.31/0.83 (step @p151 :rule cong :premises (@p34 @p150) :args (@t54)) % 0.31/0.83 (step @p152 :rule cong :premises (@p151) :args (@t55)) % 0.31/0.83 (step @p153 :rule trans :premises (@p152 @p145)) % 0.31/0.83 (step @p154 :rule 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@p856 :rule true_intro :premises (@p1160)) % 0.31/0.83 (step @p857 :rule symm :premises (@p856)) % 0.31/0.83 (step @p858 :rule trans :premises (@p857 @p855 @p853)) % 0.31/0.83 (step @p859 false :rule eq_resolve :premises (@p858 @p340)) % 0.31/0.83 (step-pop @p1161 :rule scope :premises (@p859)) % 0.31/0.83 (step-pop @p1162 :rule scope :premises (@p1161)) % 0.31/0.83 (step-pop @p1163 :rule scope :premises (@p1162)) % 0.31/0.83 (step-pop @p1164 :rule scope :premises (@p1163)) % 0.31/0.83 (step @p860 :rule process_scope :premises (@p1164) :args (false)) % 0.31/0.83 (assume-push @p1165 @t251) % 0.31/0.83 (assume-push @p1166 @t136) % 0.31/0.83 (assume-push @p1167 @t225) % 0.31/0.83 (assume-push @p1168 @t262) % 0.31/0.83 (step @p869 :rule and_intro :premises (@p1167 @p1165 @p1166 @p1168)) % 0.31/0.83 (step-pop @p1169 :rule scope :premises (@p869)) % 0.31/0.83 (step-pop @p1170 :rule scope :premises (@p1169)) % 0.31/0.83 (step-pop @p1171 :rule scope :premises (@p1170)) % 0.31/0.83 (step-pop @p1172 :rule scope :premises (@p1171)) % 0.31/0.83 (step @p870 :rule process_scope :premises (@p1172) :args (@t317)) % 0.31/0.83 (step @p875 :rule implies_elim :premises (@p870)) % 0.31/0.83 (step @p876 :rule resolution :premises (@p875 @p860) :args (true @t317)) % 0.31/0.83 (step @p877 :rule not_and :premises (@p876)) % 0.31/0.83 (step @p878 :rule eq_resolve :premises (@p877 @p848)) % 0.31/0.83 (step @p879 :rule chain_m_resolution :premises (@p494 @p492 @p878 @p425 @p423 @p445 @p846 @p214 @p842 @p819 @p242 @p817 @p816 @p815 @p105 @p3 @p813 @p607 @p811 @p168 @p803 @p136 @p799 @p90 @p795 @p82 @p787 @p38 @p783 @p572 @p442 @p560 @p165 @p539 @p157 @p79 @p73 @p531 @p66 @p523 @p154) :args ((or @t165 @t224) (@list false true true false false false true true false false true true true false false true false true true false false false false true true false false true false false false false true true false false true true false false) (@list @t252 @t251 @t236 @t238 @t234 @t245 @t128 @t244 @t262 @t107 @t116 @t121 @t122 @t123 @t21 @t119 @t161 @t163 @t114 @t153 @t91 @t311 @t105 @t109 @t99 @t101 @t308 @t291 @t313 @t265 @t260 @t146 @t150 @t112 @t94 @t88 @t96 @t82 @t145 @t256))) % 0.31/0.83 (step @p880 :rule chain_m_resolution :premises (@p879 @p422) :args (@t165 @t97 (@list @t224))) % 0.31/0.83 (step @p881 :rule chain_m_resolution :premises (@p182 @p880 @p180) :args (@t130 @t220 (@list @t136 @t137))) % 0.31/0.83 (step @p882 :rule refl :args (@t131)) % 0.31/0.83 (step @p883 :rule nary_cong :premises (@p448 @p882 @p183) :args ((or @t246 @t131 @t167))) % 0.31/0.83 (assume-push @p1173 @t166) % 0.31/0.83 (assume-push @p1174 @t244) % 0.31/0.83 (assume-push @p1175 @t130) % 0.31/0.83 (step @p340 :rule evaluate :args (@t218)) % 0.31/0.83 (step @p887 :rule false_intro :premises (@p1173)) % 0.31/0.83 (step @p888 :rule symm :premises (@p1174)) % 0.31/0.83 (step @p889 :rule refl :args (@t115)) % 0.31/0.83 (step @p890 :rule cong :premises (@p889 @p888) :args (@t130)) % 0.31/0.83 (step @p891 :rule true_intro :premises (@p1175)) % 0.31/0.83 (step @p892 :rule symm :premises (@p891)) % 0.31/0.83 (step @p893 :rule trans :premises (@p892 @p890 @p887)) % 0.31/0.83 (step @p894 false :rule eq_resolve :premises (@p893 @p340)) % 0.31/0.83 (step-pop @p1176 :rule scope :premises (@p894)) % 0.31/0.83 (step-pop @p1177 :rule scope :premises (@p1176)) % 0.31/0.83 (step-pop @p1178 :rule scope :premises (@p1177)) % 0.31/0.83 (step @p895 :rule process_scope :premises (@p1178) :args (false)) % 0.31/0.83 (assume-push @p1179 @t244) % 0.31/0.83 (assume-push @p1180 @t130) % 0.31/0.83 (assume-push @p1181 @t166) % 0.31/0.83 (step @p902 :rule and_intro :premises (@p1181 @p1179 @p1180)) % 0.31/0.83 (step-pop @p1182 :rule scope :premises (@p902)) % 0.31/0.83 (step-pop @p1183 :rule scope :premises (@p1182)) % 0.31/0.83 (step-pop @p1184 :rule scope :premises (@p1183)) % 0.31/0.83 (step @p903 :rule process_scope :premises (@p1184) :args (@t318)) % 0.31/0.83 (step @p907 :rule implies_elim :premises (@p903)) % 0.31/0.83 (step @p908 :rule resolution :premises (@p907 @p895) :args (true @t318)) % 0.31/0.83 (step @p909 :rule not_and :premises (@p908)) % 0.31/0.83 (step @p910 :rule eq_resolve :premises (@p909 @p883)) % 0.31/0.83 (step @p911 :rule chain_m_resolution :premises (@p910 @p881 @p445 @p443 @p166 @p243 @p519 @p422 @p494 @p492 @p476 @p215) :args (@t116 (@list false false false false false true true false false true true) (@list @t130 @t244 @t245 @t146 @t107 @t234 @t224 @t251 @t252 @t236 @t128))) % 0.31/0.83 (step @p912 :rule chain_m_resolution :premises (@p817 @p911) :args (@t122 @t124 (@list @t116))) % 0.31/0.83 (step @p913 :rule chain_m_resolution :premises (@p815 @p912 @p106) :args (@t119 @t154 (@list @t122 @t123))) % 0.31/0.83 (step @p914 :rule chain_m_resolution :premises (@p813 @p608 @p913 @p92) :args (@t291 @t102 (@list @t161 @t119 @t311))) % 0.31/0.83 (step @p915 :rule instantiate :premises (@p115) :args ((@list tptp.zero @t157 @t155))) % 0.31/0.83 (step @p916 :rule cnf_or_pos :args (@t319)) % 0.31/0.83 (step @p917 :rule reordering :premises (@p916) :args ((or @t156 @t271 @t295 (not @t319)))) % 0.31/0.83 (step @p918 :rule eq-symm :args (@t115 @t111)) % 0.31/0.83 (step @p919 :rule refl :args (@t320)) % 0.31/0.83 (step @p920 :rule nary_cong :premises (@p919 @p918) :args (@t321)) % 0.31/0.83 (step @p921 :rule refl :args (@t266)) % 0.31/0.83 (step @p922 :rule cong :premises (@p921 @p920) :args (@t322)) % 0.31/0.83 (step @p923 :rule cong :premises (@p98 @p922) :args ((=> @t21 @t322))) % 0.31/0.83 (assume-push @p1185 @t21) % 0.31/0.83 (step @p925 :rule instantiate :premises (@p3) :args ((@list @t115 @t111))) % 0.31/0.83 (step-pop @p1186 :rule scope :premises (@p925)) % 0.31/0.83 (step @p926 :rule process_scope :premises (@p1186) :args (@t322)) % 0.31/0.83 (step @p928 :rule eq_resolve :premises (@p926 @p923)) % 0.31/0.83 (step @p929 :rule implies_elim :premises (@p928)) % 0.31/0.83 (step @p930 :rule chain_m_resolution :premises (@p929 @p3) :args (@t324 @t124 @t125)) % 0.31/0.83 (step @p931 :rule cnf_equiv_pos2 :args (@t324)) % 0.31/0.83 (step @p932 :rule reordering :premises (@p931) :args ((or @t266 (not @t323) (not @t324)))) % 0.31/0.83 (assume-push @p1187 @t229) % 0.31/0.83 (assume-push @p1188 @t134) % 0.31/0.83 (assume-push @p1189 @t134) % 0.31/0.83 (assume-push @p1190 @t229) % 0.31/0.83 (step @p937 :rule true_intro :premises (@p177)) % 0.31/0.83 (step @p889 :rule refl :args (@t115)) % 0.31/0.83 (step @p938 :rule cong :premises (@p889 @p1187) :args (@t266)) % 0.31/0.83 (step @p939 :rule trans :premises (@p938 @p937)) % 0.31/0.83 (step @p940 :rule true_elim :premises (@p939)) % 0.31/0.83 (step-pop @p1191 :rule scope :premises (@p940)) % 0.31/0.83 (step-pop @p1192 :rule scope :premises (@p1191)) % 0.31/0.83 (step @p941 :rule process_scope :premises (@p1192) :args (@t266)) % 0.31/0.83 (step @p944 :rule and_intro :premises (@p177 @p1187)) % 0.31/0.83 (step @p945 :rule modus_ponens :premises (@p944 @p941)) % 0.31/0.83 (step-pop @p1193 :rule scope :premises (@p945)) % 0.31/0.83 (step-pop @p1194 :rule scope :premises (@p1193)) % 0.31/0.83 (step @p946 :rule process_scope :premises (@p1194) :args (@t266)) % 0.31/0.83 (step @p949 :rule implies_elim :premises (@p946)) % 0.31/0.83 (step @p950 :rule cnf_and_neg :args (@t325)) % 0.31/0.83 (step @p951 :rule resolution :premises (@p950 @p949) :args (true @t325)) % 0.31/0.83 (step @p952 :rule cnf_or_neg :args (@t323 0)) % 0.31/0.83 (step @p953 :rule instantiate :premises (@p115) :args ((@list @t115 @t113 @t111))) % 0.31/0.83 (step @p954 :rule cnf_or_pos :args (@t326)) % 0.31/0.83 (step @p955 :rule reordering :premises (@p954) :args ((or @t223 @t131 @t320 (not @t326)))) % 0.31/0.83 (step @p956 :rule chain_m_resolution :premises (@p955 @p953 @p881 @p389 @p387 @p952 @p951 @p177 @p932 @p930) :args (@t266 (@list false false false false true true false true false) (@list @t326 @t130 @t222 @t230 @t320 @t229 @t134 @t323 @t324))) % 0.31/0.83 (step @p957 :rule chain_m_resolution :premises (@p614 @p956) :args (@t270 @t124 (@list @t266))) % 0.31/0.83 (step @p958 :rule cnf_or_pos :args (@t270)) % 0.31/0.83 (step @p959 :rule reordering :premises (@p958) :args ((or @t268 @t269 @t283))) % 0.31/0.83 (step @p960 :rule chain_m_resolution :premises (@p959 @p957 @p917 @p915 @p914 @p732 @p914) :args (@t156 (@list false true false false true false) (@list @t270 @t269 @t319 @t291 @t268 @t291))) % 0.31/0.83 (step @p961 :rule chain_m_resolution :premises (@p677 @p610 @p960) :args (@t305 @t220 (@list @t159 @t156))) % 0.31/0.83 (step @p962 :rule chain_m_resolution :premises (@p676 @p961 @p914 @p674) :args (@t294 (@list true false false) (@list @t158 @t291 @t296))) % 0.31/0.83 (step @p963 :rule chain_m_resolution :premises (@p673 @p962) :args (@t275 @t97 (@list @t273))) % 0.31/0.83 (step @p964 :rule chain_m_resolution :premises (@p613 @p80 @p608 @p610 @p956 @p963 @p611) :args (@t277 (@list false false true false true false) (@list @t94 @t161 @t159 @t266 @t274 @t280))) % 0.31/0.83 (step @p965 :rule chain_m_resolution :premises (@p734 @p964) :args (@t276 @t124 (@list @t277))) % 0.31/0.83 (step @p966 :rule nary_cong :premises (@p738 @p737 @p735) :args ((or @t306 @t304 @t295))) % 0.31/0.83 (assume-push @p1195 @t305) % 0.31/0.83 (assume-push @p1196 @t276) % 0.31/0.83 (assume-push @p1197 @t291) % 0.31/0.83 (step @p340 :rule evaluate :args (@t218)) % 0.31/0.83 (step @p970 :rule false_intro :premises (@p1195)) % 0.31/0.83 (step @p971 :rule symm :premises (@p1196)) % 0.31/0.83 (step @p972 :rule refl :args (@t157)) % 0.31/0.83 (step @p973 :rule cong :premises (@p972 @p971) :args (@t291)) % 0.31/0.83 (step @p974 :rule true_intro :premises (@p1197)) % 0.31/0.83 (step @p975 :rule symm :premises (@p974)) % 0.31/0.83 (step @p976 :rule trans :premises (@p975 @p973 @p970)) % 0.31/0.83 (step @p977 false :rule eq_resolve :premises (@p976 @p340)) % 0.31/0.83 (step-pop @p1198 :rule scope :premises (@p977)) % 0.31/0.83 (step-pop @p1199 :rule scope :premises (@p1198)) % 0.31/0.83 (step-pop @p1200 :rule scope :premises (@p1199)) % 0.31/0.83 (step @p978 :rule process_scope :premises (@p1200) :args (false)) % 0.31/0.83 (step @p982 :rule not_and :premises (@p978)) % 0.31/0.83 (step @p983 :rule eq_resolve :premises (@p982 @p966)) % 0.31/0.83 (step @p984 false :rule chain_m_resolution :premises (@p983 @p965 @p961 @p914) :args (false (@list false true false) (@list @t276 @t158 @t291))) % 0.31/0.83 ) % 0.31/0.83 % SZS output end Proof % 0.31/0.83 % cvc5 exiting %------------------------------------------------------------------------------