%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT039+2 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 06:04:50 AM UTC 2026 % Result : Theorem 2.63s 2.99s % Output : Proof 2.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : MGT039+2 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.41 % Computer : n013.cluster.edu % 0.16/0.41 % Model : x86_64 x86_64 % 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.41 % Memory : 8046.5625MB % 0.16/0.41 % OS : Linux 6.8.0-71-generic % 0.16/0.41 % CPULimit : 300 % 0.16/0.41 % WCLimit : 300 % 0.16/0.41 % DateTime : Mon Sep 7 12:55:50 UTC 2026 % 0.16/0.42 % CPUTime : % 0.26/0.54 %----Proving TF0_NAR, FOF, or CNF % 2.63/2.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.63/2.99 % SZS status Theorem % 2.63/2.99 % SZS output start Proof % 2.63/2.99 ( % 2.63/2.99 (declare-sort $$unsorted 0) % 2.63/2.99 (declare-const tptp.start_time (-> $$unsorted $$unsorted)) % 2.63/2.99 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 2.63/2.99 (declare-const tptp.slow_change (-> $$unsorted Bool)) % 2.63/2.99 (declare-const tptp.critical_point (-> $$unsorted $$unsorted)) % 2.63/2.99 (declare-const tptp.observational_period (-> $$unsorted Bool)) % 2.63/2.99 (declare-const tptp.appear (-> $$unsorted $$unsorted $$unsorted)) % 2.63/2.99 (declare-const tptp.selection_favors (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.63/2.99 (declare-const tptp.efficient_producers $$unsorted) % 2.63/2.99 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 2.63/2.99 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 2.63/2.99 (declare-const tptp.cardinality_at_time (-> $$unsorted $$unsorted $$unsorted)) % 2.63/2.99 (declare-const tptp.first_movers $$unsorted) % 2.63/2.99 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.63/3.00 (declare-const tptp.environment (-> $$unsorted Bool)) % 2.63/3.00 (declare-const tptp.zero $$unsorted) % 2.63/3.00 (declare-const tptp.propagation_strategy (-> $$unsorted Bool)) % 2.63/3.00 (declare-const tptp.subpopulation (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.63/3.00 (declare-const tptp.end_time (-> $$unsorted $$unsorted)) % 2.63/3.00 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 2.63/3.00 (define @t1 () (@var "T" $$unsorted)) % 2.63/3.00 (define @t2 () (@var "S1" $$unsorted)) % 2.63/3.00 (define @t3 () (@var "S2" $$unsorted)) % 2.63/3.00 (define @t4 () (tptp.selection_favors @t3 @t2 @t1)) % 2.63/3.00 (define @t5 () (tptp.greater (tptp.growth_rate @t3 @t1) (tptp.growth_rate @t2 @t1))) % 2.63/3.00 (define @t6 () (@var "E" $$unsorted)) % 2.63/3.00 (define @t7 () (tptp.subpopulations @t2 @t3 @t6 @t1)) % 2.63/3.00 (define @t8 () (tptp.environment @t6)) % 2.63/3.00 (define @t9 () (and @t8 @t7 @t5)) % 2.63/3.00 (define @t10 () (@list @t6 @t2 @t3 @t1)) % 2.63/3.00 (define @t11 () (forall @t10 (=> @t9 @t4))) % 2.63/3.00 (define @t12 () (tptp.selection_favors @t2 @t3 @t1)) % 2.63/3.00 (define @t13 () (tptp.cardinality_at_time @t3 @t1)) % 2.63/3.00 (define @t14 () (tptp.greater (tptp.cardinality_at_time @t2 @t1) tptp.zero)) % 2.63/3.00 (define @t15 () (tptp.subpopulation @t3 @t6 @t1)) % 2.63/3.00 (define @t16 () (tptp.subpopulation @t2 @t6 @t1)) % 2.63/3.00 (define @t17 () (and @t8 @t16 @t15 @t14 (= @t13 tptp.zero))) % 2.63/3.00 (define @t18 () (=> @t17 @t12)) % 2.63/3.00 (define @t19 () (forall @t10 @t18)) % 2.63/3.00 (define @t20 () (@var "P" $$unsorted)) % 2.63/3.00 (define @t21 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t20)) % 2.63/3.00 (define @t22 () (tptp.end_time @t6)) % 2.63/3.00 (define @t23 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t22)) % 2.63/3.00 (define @t24 () (tptp.in_environment @t20 @t6)) % 2.63/3.00 (define @t25 () (and @t8 @t24)) % 2.63/3.00 (define @t26 () (@list @t6)) % 2.63/3.00 (define @t27 () (forall @t26 (=> @t25 @t23))) % 2.63/3.00 (define @t28 () (tptp.propagation_strategy tptp.efficient_producers)) % 2.63/3.00 (define @t29 () (tptp.propagation_strategy tptp.first_movers)) % 2.63/3.00 (define @t30 () (tptp.observational_period @t20)) % 2.63/3.00 (define @t31 () (and @t30 @t29 @t28 @t27)) % 2.63/3.00 (define @t32 () (=> @t31 @t21)) % 2.63/3.00 (define @t33 () (@list @t20)) % 2.63/3.00 (define @t34 () (forall @t33 @t32)) % 2.63/3.00 (define @t35 () (tptp.critical_point @t6)) % 2.63/3.00 (define @t36 () (tptp.greater @t1 @t35)) % 2.63/3.00 (define @t37 () (tptp.in_environment @t6 @t1)) % 2.63/3.00 (define @t38 () (and @t37 @t36)) % 2.63/3.00 (define @t39 () (@list @t1)) % 2.63/3.00 (define @t40 () (exists @t39 @t38)) % 2.63/3.00 (define @t41 () (=> @t25 @t40)) % 2.63/3.00 (define @t42 () (forall @t26 @t41)) % 2.63/3.00 (define @t43 () (tptp.slow_change @t20)) % 2.63/3.00 (define @t44 () (and @t30 @t43)) % 2.63/3.00 (define @t45 () (=> @t44 @t42)) % 2.63/3.00 (define @t46 () (forall @t33 @t45)) % 2.63/3.00 (define @t47 () (tptp.greater_or_equal @t22 @t1)) % 2.63/3.00 (define @t48 () (tptp.start_time @t6)) % 2.63/3.00 (define @t49 () (tptp.greater_or_equal @t1 @t48)) % 2.63/3.00 (define @t50 () (and @t8 @t49 @t47)) % 2.63/3.00 (define @t51 () (@list @t6 @t1)) % 2.63/3.00 (define @t52 () (forall @t51 (=> @t50 @t37))) % 2.63/3.00 (define @t53 () (and @t8 @t37)) % 2.63/3.00 (define @t54 () (forall @t51 (=> @t53 @t47))) % 2.63/3.00 (define @t55 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t6 @t1)) % 2.63/3.00 (define @t56 () (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers @t1) tptp.zero)) % 2.63/3.00 (define @t57 () (tptp.cardinality_at_time tptp.first_movers @t1)) % 2.63/3.00 (define @t58 () (tptp.greater @t57 tptp.zero)) % 2.63/3.00 (define @t59 () (and @t8 @t37 @t58 @t56)) % 2.63/3.00 (define @t60 () (forall @t51 (=> @t59 @t55))) % 2.63/3.00 (define @t61 () (tptp.greater_or_equal @t57 tptp.zero)) % 2.63/3.00 (define @t62 () (forall @t51 (=> @t53 @t61))) % 2.63/3.00 (define @t63 () (and (tptp.subpopulation tptp.first_movers @t6 @t1) (tptp.subpopulation tptp.efficient_producers @t6 @t1))) % 2.63/3.00 (define @t64 () (forall @t51 (=> @t53 @t63))) % 2.63/3.00 (define @t65 () (tptp.appear tptp.efficient_producers @t6)) % 2.63/3.00 (define @t66 () (tptp.greater_or_equal @t35 @t65)) % 2.63/3.00 (define @t67 () (forall @t26 (=> @t8 @t66))) % 2.63/3.00 (define @t68 () (tptp.greater_or_equal @t35 @t48)) % 2.63/3.00 (define @t69 () (forall @t26 (=> @t8 @t68))) % 2.63/3.00 (define @t70 () (@var "Z" $$unsorted)) % 2.63/3.00 (define @t71 () (@var "X" $$unsorted)) % 2.63/3.00 (define @t72 () (tptp.greater @t71 @t70)) % 2.63/3.00 (define @t73 () (@var "Y" $$unsorted)) % 2.63/3.00 (define @t74 () (tptp.greater @t73 @t70)) % 2.63/3.00 (define @t75 () (tptp.greater @t71 @t73)) % 2.63/3.00 (define @t76 () (and @t75 @t74)) % 2.63/3.00 (define @t77 () (forall (@list @t71 @t73 @t70) (=> @t76 @t72))) % 2.63/3.00 (define @t78 () (forall (@list @t71 @t73) (= (tptp.greater_or_equal @t71 @t73) (or @t75 (= @t71 @t73))))) % 2.63/3.00 (define @t79 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t1) (tptp.growth_rate tptp.first_movers @t1))) % 2.63/3.00 (define @t80 () (@var "Tc" $$unsorted)) % 2.63/3.00 (define @t81 () (tptp.greater @t1 @t80)) % 2.63/3.00 (define @t82 () (and @t55 @t81)) % 2.63/3.00 (define @t83 () (forall @t39 (=> @t82 @t79))) % 2.63/3.00 (define @t84 () (not (tptp.greater (tptp.growth_rate tptp.efficient_producers @t80) (tptp.growth_rate tptp.first_movers @t80)))) % 2.63/3.00 (define @t85 () (and @t84 @t83)) % 2.63/3.00 (define @t86 () (= @t80 @t35)) % 2.63/3.00 (define @t87 () (and @t8 @t86)) % 2.63/3.00 (define @t88 () (=> @t87 @t85)) % 2.63/3.00 (define @t89 () (@list @t6 @t80)) % 2.63/3.00 (define @t90 () (forall @t89 @t88)) % 2.63/3.00 (define @t91 () (tptp.greater_or_equal @t1 @t65)) % 2.63/3.00 (define @t92 () (and @t8 @t37 @t91)) % 2.63/3.00 (define @t93 () (forall @t51 (=> @t92 @t56))) % 2.63/3.00 (define @t94 () (forall @t33 (=> @t44 @t21))) % 2.63/3.00 (define @t95 () (not @t94)) % 2.63/3.00 (define @t96 () (not @t47)) % 2.63/3.00 (define @t97 () (not @t49)) % 2.63/3.00 (define @t98 () (not @t8)) % 2.63/3.00 (define @t99 () (or @t98 @t97 @t96)) % 2.63/3.00 (define @t100 () (not @t43)) % 2.63/3.00 (define @t101 () (not @t30)) % 2.63/3.00 (define @t102 () (or @t101 @t100 @t21)) % 2.63/3.00 (define @t103 () (forall @t33 @t102)) % 2.63/3.00 (define @t104 () (@quantifiers_skolemize @t103 0)) % 2.63/3.00 (define @t105 () (forall @t26 (or @t98 (not (tptp.in_environment @t104 @t6)) @t23))) % 2.63/3.00 (define @t106 () (@quantifiers_skolemize @t105 0)) % 2.63/3.00 (define @t107 () (tptp.end_time @t106)) % 2.63/3.00 (define @t108 () (@list @t106 @t107)) % 2.63/3.00 (define @t109 () (not @t37)) % 2.63/3.00 (define @t110 () (or @t98 @t109 @t61)) % 2.63/3.00 (define @t111 () (or @t98 @t109)) % 2.63/3.00 (define @t112 () (not @t53)) % 2.63/3.00 (define @t113 () (forall @t51 @t110)) % 2.63/3.00 (define @t114 () (tptp.cardinality_at_time tptp.first_movers @t107)) % 2.63/3.00 (define @t115 () (tptp.greater_or_equal @t114 tptp.zero)) % 2.63/3.00 (define @t116 () (tptp.in_environment @t106 @t107)) % 2.63/3.00 (define @t117 () (not @t116)) % 2.63/3.00 (define @t118 () (tptp.environment @t106)) % 2.63/3.00 (define @t119 () (not @t118)) % 2.63/3.00 (define @t120 () (or @t119 @t117 @t115)) % 2.63/3.00 (define @t121 () (not @t24)) % 2.63/3.00 (define @t122 () (or @t98 @t121 @t23)) % 2.63/3.00 (define @t123 () (forall @t26 @t122)) % 2.63/3.00 (define @t124 () (not @t123)) % 2.63/3.00 (define @t125 () (or @t101 @t124 @t21)) % 2.63/3.00 (define @t126 () (forall @t33 @t125)) % 2.63/3.00 (define @t127 () (not @t28)) % 2.63/3.00 (define @t128 () (not @t29)) % 2.63/3.00 (define @t129 () (or @t128 @t127 @t125)) % 2.63/3.00 (define @t130 () (or @t101 @t128 @t127 @t124 @t21)) % 2.63/3.00 (define @t131 () (or @t101 @t128 @t127 @t124)) % 2.63/3.00 (define @t132 () (and @t30 @t29 @t28 @t123)) % 2.63/3.00 (define @t133 () (or @t98 @t121)) % 2.63/3.00 (define @t134 () (not @t25)) % 2.63/3.00 (define @t135 () (@list false false)) % 2.63/3.00 (define @t136 () (@list @t29 @t28)) % 2.63/3.00 (define @t137 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t104)) % 2.63/3.00 (define @t138 () (not @t105)) % 2.63/3.00 (define @t139 () (tptp.observational_period @t104)) % 2.63/3.00 (define @t140 () (not @t139)) % 2.63/3.00 (define @t141 () (or @t140 @t138 @t137)) % 2.63/3.00 (define @t142 () (or @t101 @t100)) % 2.63/3.00 (define @t143 () (not @t44)) % 2.63/3.00 (define @t144 () (tptp.slow_change @t104)) % 2.63/3.00 (define @t145 () (not @t144)) % 2.63/3.00 (define @t146 () (or @t140 @t145 @t137)) % 2.63/3.00 (define @t147 () (not @t146)) % 2.63/3.00 (define @t148 () (not @t103)) % 2.63/3.00 (define @t149 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t107)) % 2.63/3.00 (define @t150 () (tptp.in_environment @t104 @t106)) % 2.63/3.00 (define @t151 () (not @t150)) % 2.63/3.00 (define @t152 () (or @t119 @t151 @t149)) % 2.63/3.00 (define @t153 () (not @t152)) % 2.63/3.00 (define @t154 () (tptp.greater @t114 tptp.zero)) % 2.63/3.00 (define @t155 () (or @t154 (= @t114 tptp.zero))) % 2.63/3.00 (define @t156 () (= @t115 @t155)) % 2.63/3.00 (define @t157 () (= tptp.zero @t114)) % 2.63/3.00 (define @t158 () (or @t154 @t157)) % 2.63/3.00 (define @t159 () (= @t115 @t158)) % 2.63/3.00 (define @t160 () (or @t98 @t109 @t63)) % 2.63/3.00 (define @t161 () (forall @t51 @t160)) % 2.63/3.00 (define @t162 () (tptp.subpopulation tptp.efficient_producers @t106 @t107)) % 2.63/3.00 (define @t163 () (tptp.subpopulation tptp.first_movers @t106 @t107)) % 2.63/3.00 (define @t164 () (and @t163 @t162)) % 2.63/3.00 (define @t165 () (or @t119 @t117 @t164)) % 2.63/3.00 (define @t166 () (not @t164)) % 2.63/3.00 (define @t167 () (@list false)) % 2.63/3.00 (define @t168 () (@list true)) % 2.63/3.00 (define @t169 () (@list @t146)) % 2.63/3.00 (define @t170 () (@list @t152)) % 2.63/3.00 (define @t171 () (not @t149)) % 2.63/3.00 (define @t172 () (= tptp.zero @t13)) % 2.63/3.00 (define @t173 () (not @t172)) % 2.63/3.00 (define @t174 () (not @t14)) % 2.63/3.00 (define @t175 () (not @t15)) % 2.63/3.00 (define @t176 () (not @t16)) % 2.63/3.00 (define @t177 () (or @t98 @t176 @t175 @t174 @t173)) % 2.63/3.00 (define @t178 () (and @t8 @t16 @t15 @t14 @t172)) % 2.63/3.00 (define @t179 () (not @t157)) % 2.63/3.00 (define @t180 () (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers @t107) tptp.zero)) % 2.63/3.00 (define @t181 () (not @t180)) % 2.63/3.00 (define @t182 () (not @t163)) % 2.63/3.00 (define @t183 () (not @t162)) % 2.63/3.00 (define @t184 () (or @t119 @t183 @t182 @t181 @t179 @t149)) % 2.63/3.00 (define @t185 () (not @t74)) % 2.63/3.00 (define @t186 () (not @t75)) % 2.63/3.00 (define @t187 () (tptp.critical_point @t106)) % 2.63/3.00 (define @t188 () (forall @t39 (or (not (tptp.in_environment @t106 @t1)) (not (tptp.greater @t1 @t187))))) % 2.63/3.00 (define @t189 () (@quantifiers_skolemize @t188 0)) % 2.63/3.00 (define @t190 () (@list @t106 @t189)) % 2.63/3.00 (define @t191 () (@var "BOUND_VARIABLE_7624" $$unsorted)) % 2.63/3.00 (define @t192 () (not (forall @t39 (or (not (tptp.in_environment @t191 @t1)) (not (tptp.greater @t1 (tptp.critical_point @t191))))))) % 2.63/3.00 (define @t193 () (not (tptp.in_environment @t20 @t191))) % 2.63/3.00 (define @t194 () (not (tptp.environment @t191))) % 2.63/3.00 (define @t195 () (or @t194 @t193 @t192)) % 2.63/3.00 (define @t196 () (or @t101 @t100 @t195)) % 2.63/3.00 (define @t197 () (forall (@list @t20 @t191) @t196)) % 2.63/3.00 (define @t198 () (@list @t191)) % 2.63/3.00 (define @t199 () (forall @t198 @t196)) % 2.63/3.00 (define @t200 () (forall @t198 @t195)) % 2.63/3.00 (define @t201 () (or @t101 @t100 @t200)) % 2.63/3.00 (define @t202 () (not (forall @t39 (or @t109 (not @t36))))) % 2.63/3.00 (define @t203 () (or @t98 @t121 @t202)) % 2.63/3.00 (define @t204 () (forall @t26 @t203)) % 2.63/3.00 (define @t205 () (or @t101 @t100 @t204)) % 2.63/3.00 (define @t206 () (forall @t39 (not @t38))) % 2.63/3.00 (define @t207 () (not @t206)) % 2.63/3.00 (define @t208 () (not @t188)) % 2.63/3.00 (define @t209 () (or @t140 @t145 @t119 @t151 @t208)) % 2.63/3.00 (define @t210 () (tptp.greater @t189 @t187)) % 2.63/3.00 (define @t211 () (not @t210)) % 2.63/3.00 (define @t212 () (tptp.in_environment @t106 @t189)) % 2.63/3.00 (define @t213 () (not @t212)) % 2.63/3.00 (define @t214 () (or @t213 @t211)) % 2.63/3.00 (define @t215 () (not @t214)) % 2.63/3.00 (define @t216 () (@list @t214)) % 2.63/3.00 (define @t217 () (tptp.greater_or_equal @t107 @t189)) % 2.63/3.00 (define @t218 () (or @t119 @t213 @t217)) % 2.63/3.00 (define @t219 () (@list false false false)) % 2.63/3.00 (define @t220 () (= @t107 @t189)) % 2.63/3.00 (define @t221 () (tptp.greater @t107 @t189)) % 2.63/3.00 (define @t222 () (or @t221 @t220)) % 2.63/3.00 (define @t223 () (= @t217 @t222)) % 2.63/3.00 (define @t224 () (tptp.subpopulation tptp.efficient_producers @t106 @t189)) % 2.63/3.00 (define @t225 () (tptp.subpopulation tptp.first_movers @t106 @t189)) % 2.63/3.00 (define @t226 () (and @t225 @t224)) % 2.63/3.00 (define @t227 () (or @t119 @t213 @t226)) % 2.63/3.00 (define @t228 () (not @t226)) % 2.63/3.00 (define @t229 () (@list @t226)) % 2.63/3.00 (define @t230 () (not @t91)) % 2.63/3.00 (define @t231 () (or @t98 @t109 @t230)) % 2.63/3.00 (define @t232 () (tptp.appear tptp.efficient_producers @t106)) % 2.63/3.00 (define @t233 () (tptp.greater @t189 @t232)) % 2.63/3.00 (define @t234 () (or @t233 (= @t189 @t232))) % 2.63/3.00 (define @t235 () (tptp.greater_or_equal @t189 @t232)) % 2.63/3.00 (define @t236 () (= @t235 @t234)) % 2.63/3.00 (define @t237 () (or @t233 (= @t232 @t189))) % 2.63/3.00 (define @t238 () (= @t235 @t237)) % 2.63/3.00 (define @t239 () (@list @t78)) % 2.63/3.00 (define @t240 () (tptp.greater @t187 @t232)) % 2.63/3.00 (define @t241 () (not @t240)) % 2.63/3.00 (define @t242 () (or @t211 @t241 @t233)) % 2.63/3.00 (define @t243 () (@list @t106)) % 2.63/3.00 (define @t244 () (tptp.greater_or_equal @t187 @t232)) % 2.63/3.00 (define @t245 () (or @t119 @t244)) % 2.63/3.00 (define @t246 () (= @t187 @t232)) % 2.63/3.00 (define @t247 () (or @t240 @t246)) % 2.63/3.00 (define @t248 () (= @t244 @t247)) % 2.63/3.00 (define @t249 () (not @t246)) % 2.63/3.00 (define @t250 () (not @t233)) % 2.63/3.00 (define @t251 () (= false true)) % 2.63/3.00 (define @t252 () (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers @t189) tptp.zero)) % 2.63/3.00 (define @t253 () (not @t235)) % 2.63/3.00 (define @t254 () (or @t119 @t213 @t253 @t252)) % 2.63/3.00 (define @t255 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t189)) % 2.63/3.00 (define @t256 () (tptp.cardinality_at_time tptp.first_movers @t189)) % 2.63/3.00 (define @t257 () (= tptp.zero @t256)) % 2.63/3.00 (define @t258 () (not @t257)) % 2.63/3.00 (define @t259 () (not @t252)) % 2.63/3.00 (define @t260 () (not @t225)) % 2.63/3.00 (define @t261 () (not @t224)) % 2.63/3.00 (define @t262 () (or @t119 @t261 @t260 @t259 @t258 @t255)) % 2.63/3.00 (define @t263 () (tptp.greater @t256 tptp.zero)) % 2.63/3.00 (define @t264 () (or @t263 (= @t256 tptp.zero))) % 2.63/3.00 (define @t265 () (tptp.greater_or_equal @t256 tptp.zero)) % 2.63/3.00 (define @t266 () (= @t265 @t264)) % 2.63/3.00 (define @t267 () (or @t263 @t257)) % 2.63/3.00 (define @t268 () (= @t265 @t267)) % 2.63/3.00 (define @t269 () (or @t119 @t213 @t265)) % 2.63/3.00 (define @t270 () (not @t56)) % 2.63/3.00 (define @t271 () (not @t58)) % 2.63/3.00 (define @t272 () (or @t98 @t109 @t271 @t270)) % 2.63/3.00 (define @t273 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t106 @t189)) % 2.63/3.00 (define @t274 () (not @t263)) % 2.63/3.00 (define @t275 () (or @t119 @t213 @t274 @t259 @t273)) % 2.63/3.00 (define @t276 () (@var "BOUND_VARIABLE_7705" $$unsorted)) % 2.63/3.00 (define @t277 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t276) (tptp.growth_rate tptp.first_movers @t276))) % 2.63/3.00 (define @t278 () (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t6 @t276))) % 2.63/3.00 (define @t279 () (and (not (tptp.greater (tptp.growth_rate tptp.efficient_producers @t35) (tptp.growth_rate tptp.first_movers @t35))) (or @t278 (not (tptp.greater @t276 @t35)) @t277))) % 2.63/3.00 (define @t280 () (not (= @t35 @t35))) % 2.63/3.00 (define @t281 () (or @t98 @t280 @t279)) % 2.63/3.00 (define @t282 () (@list @t6 @t276)) % 2.63/3.00 (define @t283 () (or @t278 (not (tptp.greater @t276 @t80)) @t277)) % 2.63/3.00 (define @t284 () (and @t84 @t283)) % 2.63/3.00 (define @t285 () (= @t35 @t80)) % 2.63/3.00 (define @t286 () (not @t285)) % 2.63/3.00 (define @t287 () (@list @t80)) % 2.63/3.00 (define @t288 () (or @t286 @t98 @t286 @t284)) % 2.63/3.00 (define @t289 () (or @t98 @t286 @t284)) % 2.63/3.00 (define @t290 () (forall @t287 @t289)) % 2.63/3.00 (define @t291 () (forall @t282 @t290)) % 2.63/3.00 (define @t292 () (forall (@list @t6 @t276 @t80) @t289)) % 2.63/3.00 (define @t293 () (forall (@list @t6 @t80 @t276) @t289)) % 2.63/3.00 (define @t294 () (@list @t276)) % 2.63/3.00 (define @t295 () (forall @t294 @t289)) % 2.63/3.00 (define @t296 () (forall @t294 @t283)) % 2.63/3.00 (define @t297 () (forall @t294 @t84)) % 2.63/3.00 (define @t298 () (and @t297 @t296)) % 2.63/3.00 (define @t299 () (forall @t294 @t284)) % 2.63/3.00 (define @t300 () (or @t98 @t286 @t299)) % 2.63/3.00 (define @t301 () (not @t81)) % 2.63/3.00 (define @t302 () (not @t55)) % 2.63/3.00 (define @t303 () (or @t302 @t301 @t79)) % 2.63/3.00 (define @t304 () (and @t84 (forall @t39 @t303))) % 2.63/3.00 (define @t305 () (or @t98 @t286 @t304)) % 2.63/3.00 (define @t306 () (and @t8 @t285)) % 2.63/3.00 (define @t307 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t189) (tptp.growth_rate tptp.first_movers @t189))) % 2.63/3.00 (define @t308 () (not @t273)) % 2.63/3.00 (define @t309 () (or @t308 @t211 @t307)) % 2.63/3.00 (define @t310 () (not (tptp.greater (tptp.growth_rate tptp.efficient_producers @t187) (tptp.growth_rate tptp.first_movers @t187)))) % 2.63/3.00 (define @t311 () (and @t310 @t309)) % 2.63/3.00 (define @t312 () (or @t119 @t311)) % 2.63/3.00 (define @t313 () (not @t5)) % 2.63/3.00 (define @t314 () (not @t7)) % 2.63/3.00 (define @t315 () (or @t98 @t314 @t313)) % 2.63/3.00 (define @t316 () (not @t307)) % 2.63/3.00 (define @t317 () (or @t119 @t308 @t316 @t255)) % 2.63/3.00 (define @t318 () (not @t255)) % 2.63/3.00 (define @t319 () (not @t220)) % 2.63/3.00 (define @t320 () (and @t171 @t220)) % 2.63/3.00 (define @t321 () (@list true false)) % 2.63/3.00 (define @t322 () (tptp.greater @t107 @t187)) % 2.63/3.00 (define @t323 () (not @t221)) % 2.63/3.00 (define @t324 () (or @t323 @t211 @t322)) % 2.63/3.00 (define @t325 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t107) (tptp.growth_rate tptp.first_movers @t107))) % 2.63/3.00 (define @t326 () (not @t322)) % 2.63/3.00 (define @t327 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t106 @t107)) % 2.63/3.00 (define @t328 () (not @t327)) % 2.63/3.00 (define @t329 () (or @t328 @t326 @t325)) % 2.63/3.00 (define @t330 () (and @t310 @t329)) % 2.63/3.00 (define @t331 () (or @t119 @t330)) % 2.63/3.00 (define @t332 () (not @t325)) % 2.63/3.00 (define @t333 () (or @t119 @t328 @t332 @t149)) % 2.63/3.00 (define @t334 () (not @t154)) % 2.63/3.00 (define @t335 () (or @t119 @t117 @t334 @t181 @t327)) % 2.63/3.00 (define @t336 () (tptp.greater @t107 @t232)) % 2.63/3.00 (define @t337 () (or @t323 @t250 @t336)) % 2.63/3.00 (define @t338 () (or @t336 (= @t107 @t232))) % 2.63/3.00 (define @t339 () (tptp.greater_or_equal @t107 @t232)) % 2.63/3.00 (define @t340 () (= @t339 @t338)) % 2.63/3.00 (define @t341 () (not @t339)) % 2.63/3.00 (define @t342 () (or @t119 @t117 @t341 @t180)) % 2.63/3.00 (define @t343 () (tptp.start_time @t106)) % 2.63/3.00 (define @t344 () (tptp.greater @t107 @t343)) % 2.63/3.00 (define @t345 () (or @t344 (= @t107 @t343))) % 2.63/3.00 (define @t346 () (tptp.greater_or_equal @t107 @t343)) % 2.63/3.00 (define @t347 () (= @t346 @t345)) % 2.63/3.00 (define @t348 () (not @t347)) % 2.63/3.00 (define @t349 () (not @t346)) % 2.63/3.00 (define @t350 () (tptp.greater @t187 @t343)) % 2.63/3.00 (define @t351 () (not @t350)) % 2.63/3.00 (define @t352 () (or @t326 @t351 @t344)) % 2.63/3.00 (define @t353 () (or @t322 (= @t107 @t187))) % 2.63/3.00 (define @t354 () (tptp.greater_or_equal @t107 @t187)) % 2.63/3.00 (define @t355 () (= @t354 @t353)) % 2.63/3.00 (define @t356 () (or @t210 (= @t189 @t187))) % 2.63/3.00 (define @t357 () (tptp.greater_or_equal @t189 @t187)) % 2.63/3.00 (define @t358 () (= @t357 @t356)) % 2.63/3.00 (define @t359 () (or @t210 (= @t187 @t189))) % 2.63/3.00 (define @t360 () (= @t357 @t359)) % 2.63/3.00 (define @t361 () (not @t357)) % 2.63/3.00 (define @t362 () (not @t354)) % 2.63/3.00 (define @t363 () (and @t357 @t220 @t362)) % 2.63/3.00 (define @t364 () (= @t187 @t343)) % 2.63/3.00 (define @t365 () (not @t364)) % 2.63/3.00 (define @t366 () (tptp.greater_or_equal @t187 @t343)) % 2.63/3.00 (define @t367 () (or @t119 @t366)) % 2.63/3.00 (define @t368 () (or @t350 @t364)) % 2.63/3.00 (define @t369 () (= @t366 @t368)) % 2.63/3.00 (define @t370 () (tptp.greater_or_equal @t107 @t107)) % 2.63/3.00 (define @t371 () (not @t370)) % 2.63/3.00 (define @t372 () (or @t119 @t349 @t371 @t116)) % 2.63/3.00 (define @t373 () (tptp.greater @t107 @t107)) % 2.63/3.00 (define @t374 () (or @t373 (= @t107 @t107))) % 2.63/3.00 (define @t375 () (= @t370 @t374)) % 2.63/3.00 (assume @p1 @t11) % 2.63/3.00 (assume @p2 @t19) % 2.63/3.00 (assume @p3 @t34) % 2.63/3.00 (assume @p4 @t46) % 2.63/3.00 (assume @p5 @t29) % 2.63/3.00 (assume @p6 @t28) % 2.63/3.00 (assume @p7 @t52) % 2.63/3.00 (assume @p8 @t54) % 2.63/3.00 (assume @p9 @t60) % 2.63/3.00 (assume @p10 @t62) % 2.63/3.00 (assume @p11 @t64) % 2.63/3.00 (assume @p12 @t67) % 2.63/3.00 (assume @p13 @t69) % 2.63/3.00 (assume @p14 @t77) % 2.63/3.00 (assume @p15 (forall @t51 (=> (and @t8 (tptp.greater @t1 @t48) (not (tptp.greater @t1 @t22))) @t47))) % 2.63/3.00 (assume @p16 @t78) % 2.63/3.00 (assume @p17 @t90) % 2.63/3.00 (assume @p18 @t93) % 2.63/3.00 (assume @p19 @t95) % 2.63/3.00 (assume @p20 true) % 2.63/3.00 (step @p21 :rule aci_norm :args ((= (or @t99 @t37) (or @t98 @t97 @t96 @t37)))) % 2.63/3.00 (step @p22 :rule refl :args (@t37)) % 2.63/3.00 (step @p23 :rule aci_norm :args ((= (or @t98 (or @t97 @t96)) @t99))) % 2.63/3.00 (step @p24 :rule bool-and-de-morgan :args (@t49 @t47 true)) % 2.63/3.00 (step @p25 :rule refl :args (@t98)) % 2.63/3.00 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t98 (not (and @t49 @t47))))) % 2.63/3.00 (step @p27 :rule bool-and-de-morgan :args (@t8 @t49 (and @t47))) % 2.63/3.00 (step @p28 :rule trans :premises (@p27 @p26)) % 2.63/3.00 (step @p29 :rule trans :premises (@p28 @p23)) % 2.63/3.00 (step @p30 :rule nary_cong :premises (@p29 @p22) :args ((or (not @t50) @t37))) % 2.63/3.00 (step @p31 :rule trans :premises (@p30 @p21)) % 2.63/3.00 (step @p32 :rule bool-impl-elim :args (@t50 @t37)) % 2.63/3.00 (step @p33 :rule trans :premises (@p32 @p31)) % 2.63/3.00 (step @p34 :rule cong :premises (@p33) :args (@t52)) % 2.63/3.00 (step @p35 :rule eq_resolve :premises (@p7 @p34)) % 2.63/3.00 (step @p36 :rule instantiate :premises (@p35) :args (@t108)) % 2.63/3.00 (step @p37 :rule aci_norm :args ((= (or @t111 @t61) @t110))) % 2.63/3.00 (step @p38 :rule refl :args (@t61)) % 2.63/3.00 (step @p39 :rule bool-and-de-morgan :args (@t8 @t37 true)) % 2.63/3.00 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t112 @t61))) % 2.63/3.00 (step @p41 :rule trans :premises (@p40 @p37)) % 2.63/3.00 (step @p42 :rule bool-impl-elim :args (@t53 @t61)) % 2.63/3.00 (step @p43 :rule trans :premises (@p42 @p41)) % 2.63/3.00 (step @p44 :rule cong :premises (@p43) :args (@t62)) % 2.63/3.00 (step @p45 :rule eq_resolve :premises (@p10 @p44)) % 2.63/3.00 (assume-push @p733 @t113) % 2.63/3.00 (step @p47 :rule instantiate :premises (@p45) :args (@t108)) % 2.63/3.00 (step-pop @p734 :rule scope :premises (@p47)) % 2.63/3.00 (step @p48 :rule process_scope :premises (@p734) :args (@t120)) % 2.63/3.00 (step @p50 :rule implies_elim :premises (@p48)) % 2.63/3.00 (step @p51 :rule quant-miniscope-or :args ((= (forall @t33 @t129) (or @t128 @t127 @t126)))) % 2.63/3.00 (step @p52 :rule aci_norm :args ((= @t130 @t129))) % 2.63/3.00 (step @p53 :rule cong :premises (@p52) :args ((forall @t33 @t130))) % 2.63/3.00 (step @p54 :rule trans :premises (@p53 @p51)) % 2.63/3.00 (step @p55 :rule aci_norm :args ((= (or @t131 @t21) @t130))) % 2.63/3.00 (step @p56 :rule refl :args (@t21)) % 2.63/3.00 (step @p57 :rule aci_norm :args ((= (or @t101 (or @t128 (or @t127 @t124))) @t131))) % 2.63/3.00 (step @p58 :rule bool-and-de-morgan :args (@t28 @t123 true)) % 2.63/3.00 (step @p59 :rule refl :args (@t128)) % 2.63/3.00 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t128 (not (and @t28 @t123))))) % 2.63/3.00 (step @p61 :rule bool-and-de-morgan :args (@t29 @t28 (and @t123))) % 2.63/3.00 (step @p62 :rule trans :premises (@p61 @p60)) % 2.63/3.00 (step @p63 :rule refl :args (@t101)) % 2.63/3.00 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t101 (not (and @t29 @t28 @t123))))) % 2.63/3.00 (step @p65 :rule bool-and-de-morgan :args (@t30 @t29 (and @t28 @t123))) % 2.63/3.00 (step @p66 :rule trans :premises (@p65 @p64)) % 2.63/3.00 (step @p67 :rule trans :premises (@p66 @p57)) % 2.63/3.00 (step @p68 :rule nary_cong :premises (@p67 @p56) :args ((or (not @t132) @t21))) % 2.63/3.00 (step @p69 :rule trans :premises (@p68 @p55)) % 2.63/3.00 (step @p70 :rule bool-impl-elim :args (@t132 @t21)) % 2.63/3.00 (step @p71 :rule trans :premises (@p70 @p69)) % 2.63/3.00 (step @p72 :rule cong :premises (@p71) :args ((forall @t33 (=> @t132 @t21)))) % 2.63/3.00 (step @p73 :rule trans :premises (@p72 @p54)) % 2.63/3.00 (step @p74 :rule refl :args (@t21)) % 2.63/3.00 (step @p75 :rule aci_norm :args ((= (or @t133 @t23) @t122))) % 2.63/3.00 (step @p76 :rule refl :args (@t23)) % 2.63/3.00 (step @p77 :rule bool-and-de-morgan :args (@t8 @t24 true)) % 2.63/3.00 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t134 @t23))) % 2.63/3.00 (step @p79 :rule trans :premises (@p78 @p75)) % 2.63/3.00 (step @p80 :rule bool-impl-elim :args (@t25 @t23)) % 2.63/3.00 (step @p81 :rule trans :premises (@p80 @p79)) % 2.63/3.00 (step @p82 :rule cong :premises (@p81) :args (@t27)) % 2.63/3.00 (step @p83 :rule refl :args (@t28)) % 2.63/3.00 (step @p84 :rule refl :args (@t29)) % 2.63/3.00 (step @p85 :rule refl :args (@t30)) % 2.63/3.00 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83 @p82) :args (@t31)) % 2.63/3.00 (step @p87 :rule cong :premises (@p86 @p74) :args (@t32)) % 2.63/3.00 (step @p88 :rule cong :premises (@p87) :args (@t34)) % 2.63/3.00 (step @p89 :rule trans :premises (@p88 @p73)) % 2.63/3.00 (step @p90 :rule eq_resolve :premises (@p3 @p89)) % 2.63/3.00 (assume-push @p735 @t126) % 2.63/3.00 (step @p92 :rule chain_m_resolution :premises (@p90 @p5 @p6) :args (@t126 @t135 @t136)) % 2.63/3.00 (step @p93 :rule instantiate :premises (@p92) :args ((@list @t104))) % 2.63/3.00 (step-pop @p736 :rule scope :premises (@p93)) % 2.63/3.00 (step @p94 :rule process_scope :premises (@p736) :args (@t141)) % 2.63/3.00 (step @p96 :rule implies_elim :premises (@p94)) % 2.63/3.00 (step @p97 :rule aci_norm :args ((= (or @t142 @t21) @t102))) % 2.63/3.00 (step @p98 :rule bool-and-de-morgan :args (@t30 @t43 true)) % 2.63/3.00 (step @p99 :rule nary_cong :premises (@p98 @p56) :args ((or @t143 @t21))) % 2.63/3.00 (step @p100 :rule trans :premises (@p99 @p97)) % 2.63/3.00 (step @p101 :rule bool-impl-elim :args (@t44 @t21)) % 2.63/3.00 (step @p102 :rule trans :premises (@p101 @p100)) % 2.63/3.00 (step @p103 :rule cong :premises (@p102) :args (@t94)) % 2.63/3.00 (step @p104 :rule cong :premises (@p103) :args (@t95)) % 2.63/3.00 (step @p105 :rule eq_resolve :premises (@p19 @p104)) % 2.63/3.00 (step @p106 :rule refl :args (@t147)) % 2.63/3.00 (step @p107 :rule bool-double-not-elim :args (@t103)) % 2.63/3.00 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or (not @t148) @t147))) % 2.63/3.00 (assume-push @p737 @t148) % 2.63/3.00 (step @p110 :rule skolemize :premises (@p105)) % 2.63/3.00 (step-pop @p738 :rule scope :premises (@p110)) % 2.63/3.00 (step @p111 :rule process_scope :premises (@p738) :args (@t147)) % 2.63/3.00 (step @p113 :rule implies_elim :premises (@p111)) % 2.63/3.00 (step @p114 :rule eq_resolve :premises (@p113 @p108)) % 2.63/3.00 (step @p115 :rule cnf_or_neg :args (@t146 2)) % 2.63/3.00 (step @p116 :rule bool-double-not-elim :args (@t139)) % 2.63/3.00 (step @p117 :rule refl :args (@t146)) % 2.63/3.00 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or @t146 (not @t140)))) % 2.63/3.00 (step @p119 :rule cnf_or_neg :args (@t146 0)) % 2.63/3.00 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 2.63/3.00 (step 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false false true false false false false false) (@list @t317 @t118 @t307 @t309 @t210 @t273 @t252 @t275 @t212 @t118 @t263 @t267 @t257 @t262 @t252 @t224 @t225 @t118))) % 2.63/3.00 (step @p547 :rule refl :args (@t318)) % 2.63/3.00 (step @p548 :rule refl :args (@t319)) % 2.63/3.00 (step @p549 :rule bool-double-not-elim :args (@t149)) % 2.63/3.00 (step @p550 :rule nary_cong :premises (@p549 @p548 @p547) :args ((or (not @t171) @t319 @t318))) % 2.63/3.00 (assume-push @p757 @t171) % 2.63/3.00 (assume-push @p758 @t220) % 2.63/3.00 (assume-push @p759 @t171) % 2.63/3.00 (assume-push @p760 @t220) % 2.63/3.00 (step @p555 :rule false_intro :premises (@p757)) % 2.63/3.00 (step @p556 :rule symm :premises (@p758)) % 2.63/3.00 (step @p557 :rule refl :args (tptp.first_movers)) % 2.63/3.00 (step @p558 :rule refl :args (tptp.efficient_producers)) % 2.63/3.00 (step @p559 :rule cong :premises (@p558 @p557 @p556) :args (@t255)) % 2.63/3.00 (step @p560 :rule trans :premises (@p559 @p555)) % 2.63/3.00 (step @p561 :rule false_elim :premises (@p560)) % 2.63/3.00 (step-pop @p761 :rule scope :premises (@p561)) % 2.63/3.00 (step-pop @p762 :rule scope :premises (@p761)) % 2.63/3.00 (step @p562 :rule process_scope :premises (@p762) :args (@t318)) % 2.63/3.00 (step @p565 :rule and_intro :premises (@p757 @p758)) % 2.63/3.00 (step @p566 :rule modus_ponens :premises (@p565 @p562)) % 2.63/3.00 (step-pop @p763 :rule scope :premises (@p566)) % 2.63/3.00 (step-pop @p764 :rule scope :premises (@p763)) % 2.63/3.00 (step @p567 :rule process_scope :premises (@p764) :args (@t318)) % 2.63/3.00 (step @p570 :rule implies_elim :premises (@p567)) % 2.63/3.00 (step @p571 :rule cnf_and_neg :args (@t320)) % 2.63/3.00 (step @p572 :rule resolution :premises (@p571 @p570) :args (true @t320)) % 2.63/3.00 (step @p573 :rule eq_resolve :premises (@p572 @p550)) % 2.63/3.00 (step @p574 :rule chain_m_resolution :premises (@p573 @p546 @p183) :args (@t319 (@list false true) (@list @t255 @t149))) % 2.63/3.00 (step @p575 :rule cnf_or_pos :args (@t222)) % 2.63/3.00 (step @p576 :rule reordering :premises (@p575) :args ((or @t221 @t220 (not @t222)))) % 2.63/3.00 (step @p577 :rule chain_m_resolution :premises (@p576 @p574 @p318) :args (@t221 @t321 (@list @t220 @t222))) % 2.63/3.00 (step @p578 :rule cnf_or_pos :args (@t324)) % 2.63/3.00 (step @p579 :rule reordering :premises (@p578) :args ((or @t211 @t322 @t323 (not @t324)))) % 2.63/3.00 (step @p580 :rule chain_m_resolution :premises (@p579 @p362 @p577 @p228) :args (@t322 @t219 (@list @t210 @t221 @t324))) % 2.63/3.00 (step @p581 :rule instantiate :premises (@p519) :args (@t108)) % 2.63/3.00 (step @p582 :rule cnf_or_pos :args (@t331)) % 2.63/3.00 (step @p583 :rule reordering :premises (@p582) :args ((or @t119 @t330 (not @t331)))) % 2.63/3.00 (step @p584 :rule chain_m_resolution :premises (@p583 @p181 @p581) :args (@t330 @t135 (@list @t118 @t331))) % 2.63/3.00 (step @p585 :rule cnf_and_pos :args (@t330 1)) % 2.63/3.00 (step @p586 :rule reordering :premises (@p585) :args ((or @t329 (not @t330)))) % 2.63/3.00 (step @p587 :rule chain_m_resolution :premises (@p586 @p584) :args (@t329 @t167 (@list @t330))) % 2.63/3.00 (step @p588 :rule cnf_or_pos :args (@t329)) % 2.63/3.00 (step @p589 :rule reordering :premises (@p588) :args ((or @t326 @t328 @t325 (not @t329)))) % 2.63/3.00 (step @p590 :rule instantiate :premises (@p542) :args ((@list @t106 tptp.first_movers tptp.efficient_producers @t107))) % 2.63/3.00 (step @p591 :rule cnf_or_pos :args (@t333)) % 2.63/3.00 (step @p592 :rule reordering :premises (@p591) :args ((or @t119 @t149 @t328 @t332 (not @t333)))) % 2.63/3.00 (step @p593 :rule chain_m_resolution :premises (@p592 @p590 @p183 @p181 @p589 @p587 @p580) :args (@t328 (@list false true false false false false) (@list @t333 @t149 @t118 @t325 @t329 @t322))) % 2.63/3.00 (step @p594 :rule instantiate :premises (@p452) :args (@t108)) % 2.63/3.00 (step @p595 :rule cnf_or_pos :args (@t335)) % 2.63/3.00 (step @p596 :rule reordering :premises (@p595) :args ((or @t119 @t327 @t117 @t181 @t334 (not @t335)))) % 2.63/3.00 (step @p597 :rule cnf_or_pos :args (@t158)) % 2.63/3.00 (step @p598 :rule reordering :premises (@p597) :args ((or @t157 @t154 (not @t158)))) % 2.63/3.00 (step @p599 :rule chain_m_resolution :premises (@p598 @p596 @p594 @p593 @p181 @p218 @p216 @p183 @p181 @p174 @p172 @p170 @p168 @p163 @p155 @p153 @p16 @p140 @p138 @p132 @p123 @p121 @p115 @p114 @p105 @p96 @p90 @p5 @p6 @p50 @p45) :args ((or @t117 @t181) (@list true false true false true false true false false false false false false false false false false false true true false true true true false false false false false false) (@list @t154 @t335 @t327 @t118 @t157 @t184 @t149 @t118 @t162 @t163 @t164 @t165 @t161 @t158 @t159 @t78 @t115 @t118 @t152 @t105 @t139 @t137 @t146 @t103 @t141 @t126 @t29 @t28 @t120 @t113))) % 2.63/3.00 (step @p600 :rule instantiate :premises (@p16) :args ((@list @t107 @t232))) % 2.63/3.00 (step @p601 :rule instantiate :premises (@p227) :args ((@list @t107 @t189 @t232))) % 2.63/3.00 (step @p602 :rule cnf_or_pos :args (@t337)) % 2.63/3.00 (step @p603 :rule reordering :premises (@p602) :args ((or @t323 @t250 @t336 (not @t337)))) % 2.63/3.00 (step @p604 :rule chain_m_resolution :premises (@p603 @p577 @p401 @p601) :args (@t336 @t219 (@list @t221 @t233 @t337))) % 2.63/3.00 (step @p605 :rule cnf_or_neg :args (@t338 0)) % 2.63/3.00 (step @p606 :rule chain_m_resolution :premises (@p605 @p604) :args (@t338 @t167 (@list @t336))) % 2.63/3.00 (step @p607 :rule cnf_equiv_pos2 :args (@t340)) % 2.63/3.00 (step @p608 :rule reordering :premises (@p607) :args ((or @t339 (not @t338) (not @t340)))) % 2.63/3.00 (step @p609 :rule chain_m_resolution :premises (@p608 @p606 @p600) :args (@t339 @t135 (@list @t338 @t340))) % 2.63/3.00 (step @p610 :rule instantiate :premises (@p342) :args (@t108)) % 2.63/3.00 (step @p611 :rule cnf_or_pos :args (@t342)) % 2.63/3.00 (step @p612 :rule reordering :premises (@p611) :args ((or @t119 @t117 @t341 @t180 (not @t342)))) % 2.63/3.00 (step @p613 :rule chain_m_resolution :premises (@p612 @p610 @p609 @p181 @p599) :args (@t117 (@list false false false true) (@list @t342 @t339 @t118 @t180))) % 2.63/3.00 (step @p614 :rule instantiate :premises (@p16) :args ((@list @t107 @t343))) % 2.63/3.00 (step @p615 :rule cnf_or_neg :args (@t345 0)) % 2.63/3.00 (step @p616 :rule reordering :premises (@p615) :args ((or (not @t344) @t345))) % 2.63/3.00 (step @p617 :rule cnf_equiv_pos1 :args (@t347)) % 2.63/3.00 (step @p618 :rule reordering :premises (@p617) :args ((or @t349 @t345 @t348))) % 2.63/3.00 (step @p619 :rule instantiate :premises (@p227) :args ((@list @t107 @t187 @t343))) % 2.63/3.00 (step @p620 :rule cnf_or_pos :args (@t352)) % 2.63/3.00 (step @p621 :rule reordering :premises (@p620) :args ((or @t351 @t326 @t344 (not @t352)))) % 2.63/3.00 (step @p622 :rule instantiate :premises (@p16) :args ((@list @t107 @t187))) % 2.63/3.00 (step @p623 :rule cnf_equiv_pos2 :args (@t355)) % 2.63/3.00 (step @p624 :rule reordering :premises (@p623) :args ((or @t354 (not @t353) (not @t355)))) % 2.63/3.00 (step @p625 :rule cnf_or_neg :args (@t353 0)) % 2.63/3.00 (step @p626 :rule eq-symm :args (@t189 @t187)) % 2.63/3.00 (step @p627 :rule refl :args (@t210)) % 2.63/3.00 (step @p628 :rule nary_cong :premises (@p627 @p626) :args (@t356)) % 2.63/3.00 (step @p629 :rule refl :args (@t357)) % 2.63/3.00 (step @p630 :rule cong :premises (@p629 @p628) :args (@t358)) % 2.63/3.00 (step @p631 :rule cong :premises (@p146 @p630) :args ((=> @t78 @t358))) % 2.63/3.00 (assume-push @p765 @t78) % 2.63/3.00 (step @p633 :rule instantiate :premises (@p16) :args ((@list @t189 @t187))) % 2.63/3.00 (step-pop @p766 :rule scope :premises (@p633)) % 2.63/3.00 (step @p634 :rule process_scope :premises (@p766) :args (@t358)) % 2.63/3.00 (step @p636 :rule eq_resolve :premises (@p634 @p631)) % 2.63/3.00 (step @p637 :rule implies_elim :premises (@p636)) % 2.63/3.00 (step @p638 :rule chain_m_resolution :premises (@p637 @p16) :args (@t360 @t167 @t239)) % 2.63/3.00 (step @p639 :rule cnf_or_neg :args (@t359 0)) % 2.63/3.00 (step @p640 :rule reordering :premises (@p639) :args ((or @t211 @t359))) % 2.63/3.00 (step @p641 :rule chain_m_resolution :premises (@p640 @p362) :args (@t359 @t167 (@list @t210))) % 2.63/3.00 (step @p642 :rule cnf_equiv_pos2 :args (@t360)) % 2.63/3.00 (step @p643 :rule reordering :premises (@p642) :args ((or @t357 (not @t359) (not @t360)))) % 2.63/3.00 (step @p644 :rule chain_m_resolution :premises (@p643 @p641 @p638) :args (@t357 @t135 (@list @t359 @t360))) % 2.63/3.00 (step @p645 :rule refl :args (@t361)) % 2.63/3.00 (step @p646 :rule bool-double-not-elim :args (@t354)) % 2.63/3.00 (step @p647 :rule nary_cong :premises (@p646 @p645 @p548) :args ((or (not @t362) @t361 @t319))) % 2.63/3.00 (assume-push @p767 @t357) % 2.63/3.00 (assume-push @p768 @t220) % 2.63/3.00 (assume-push @p769 @t362) % 2.63/3.00 (step @p386 :rule evaluate :args (@t251)) % 2.63/3.00 (step @p651 :rule true_intro :premises (@p767)) % 2.63/3.00 (step @p652 :rule refl :args (@t187)) % 2.63/3.00 (step @p653 :rule cong :premises (@p768 @p652) :args (@t354)) % 2.63/3.00 (step @p654 :rule false_intro :premises (@p769)) % 2.63/3.00 (step @p655 :rule symm :premises (@p654)) % 2.63/3.00 (step @p656 :rule trans :premises (@p655 @p653 @p651)) % 2.63/3.00 (step @p657 false :rule eq_resolve :premises (@p656 @p386)) % 2.63/3.00 (step-pop @p770 :rule scope :premises (@p657)) % 2.63/3.00 (step-pop @p771 :rule scope :premises (@p770)) % 2.63/3.00 (step-pop @p772 :rule scope :premises (@p771)) % 2.63/3.00 (step @p658 :rule process_scope :premises (@p772) :args (false)) % 2.63/3.00 (assume-push @p773 @t362) % 2.63/3.00 (assume-push @p774 @t357) % 2.63/3.00 (assume-push @p775 @t220) % 2.63/3.00 (step @p665 :rule and_intro :premises (@p774 @p775 @p773)) % 2.63/3.00 (step-pop @p776 :rule scope :premises (@p665)) % 2.63/3.00 (step-pop @p777 :rule scope :premises (@p776)) % 2.63/3.00 (step-pop @p778 :rule scope :premises (@p777)) % 2.63/3.00 (step @p666 :rule process_scope :premises (@p778) :args (@t363)) % 2.63/3.00 (step @p670 :rule implies_elim :premises (@p666)) % 2.63/3.00 (step @p671 :rule resolution :premises (@p670 @p658) :args (true @t363)) % 2.63/3.00 (step @p672 :rule not_and :premises (@p671)) % 2.63/3.00 (step @p673 :rule eq_resolve :premises (@p672 @p647)) % 2.63/3.00 (step @p674 :rule chain_m_resolution :premises (@p673 @p644 @p576 @p318 @p579 @p228 @p362 @p625 @p624 @p622) :args (@t354 (@list false false false true false false true true false) (@list @t357 @t220 @t222 @t221 @t324 @t210 @t322 @t353 @t355))) % 2.63/3.00 (step @p675 :rule bool-double-not-elim :args (@t346)) % 2.63/3.00 (step @p676 :rule refl :args (@t365)) % 2.63/3.00 (step @p677 :rule refl :args (@t362)) % 2.63/3.00 (step @p678 :rule nary_cong :premises (@p677 @p676 @p675) :args ((or @t362 @t365 (not @t349)))) % 2.63/3.00 (assume-push @p779 @t354) % 2.63/3.00 (assume-push @p780 @t364) % 2.63/3.00 (assume-push @p781 @t349) % 2.63/3.00 (step @p386 :rule evaluate :args (@t251)) % 2.63/3.00 (step @p682 :rule true_intro :premises (@p779)) % 2.63/3.00 (step @p683 :rule symm :premises (@p780)) % 2.63/3.00 (step @p684 :rule refl :args (@t107)) % 2.63/3.00 (step @p685 :rule cong :premises (@p684 @p683) :args (@t346)) % 2.63/3.00 (step @p686 :rule false_intro :premises (@p781)) % 2.63/3.00 (step @p687 :rule symm :premises (@p686)) % 2.63/3.00 (step @p688 :rule trans :premises (@p687 @p685 @p682)) % 2.63/3.00 (step @p689 false :rule eq_resolve :premises (@p688 @p386)) % 2.63/3.00 (step-pop @p782 :rule scope :premises (@p689)) % 2.63/3.00 (step-pop @p783 :rule scope :premises (@p782)) % 2.63/3.00 (step-pop @p784 :rule scope :premises (@p783)) % 2.63/3.00 (step @p690 :rule process_scope :premises (@p784) :args (false)) % 2.63/3.00 (step @p694 :rule not_and :premises (@p690)) % 2.63/3.00 (step @p695 :rule eq_resolve :premises (@p694 @p678)) % 2.63/3.00 (step @p696 :rule instantiate :premises (@p16) :args ((@list @t187 @t343))) % 2.63/3.00 (step @p697 :rule bool-impl-elim :args (@t8 @t68)) % 2.63/3.00 (step @p698 :rule cong :premises (@p697) :args (@t69)) % 2.63/3.00 (step @p699 :rule eq_resolve :premises (@p13 @p698)) % 2.63/3.00 (step @p700 :rule instantiate :premises (@p699) :args (@t243)) % 2.63/3.00 (step @p701 :rule cnf_or_pos :args (@t367)) % 2.63/3.00 (step @p702 :rule reordering :premises (@p701) :args ((or @t119 @t366 (not @t367)))) % 2.63/3.00 (step @p703 :rule chain_m_resolution :premises (@p702 @p181 @p700) :args (@t366 @t135 (@list @t118 @t367))) % 2.63/3.01 (step @p704 :rule cnf_equiv_pos1 :args (@t369)) % 2.63/3.01 (step @p705 :rule reordering :premises (@p704) :args ((or (not @t366) @t368 (not @t369)))) % 2.63/3.01 (step @p706 :rule chain_m_resolution :premises (@p705 @p703 @p696) :args (@t368 @t135 (@list @t366 @t369))) % 2.63/3.01 (step @p707 :rule cnf_or_pos :args (@t368)) % 2.63/3.01 (step @p708 :rule reordering :premises (@p707) :args ((or @t350 @t364 (not @t368)))) % 2.63/3.01 (step @p709 :rule chain_m_resolution :premises (@p708 @p706 @p695 @p674 @p621 @p619 @p580 @p618 @p614 @p616) :args (@t345 (@list false true false true false false true false true) (@list @t368 @t364 @t354 @t350 @t352 @t322 @t346 @t347 @t344))) % 2.63/3.01 (step @p710 :rule cnf_equiv_pos2 :args (@t347)) % 2.63/3.01 (step @p711 :rule reordering :premises (@p710) :args ((or @t346 (not @t345) @t348))) % 2.63/3.01 (step @p712 :rule chain_m_resolution :premises (@p711 @p709 @p614) :args (@t346 @t135 (@list @t345 @t347))) % 2.63/3.01 (step @p713 :rule cnf_or_pos :args (@t372)) % 2.63/3.01 (step @p714 :rule reordering :premises (@p713) :args ((or @t119 @t349 @t371 @t116 (not @t372)))) % 2.63/3.01 (step @p715 :rule chain_m_resolution :premises (@p714 @p181 @p712 @p613 @p36) :args (@t371 (@list false false true false) (@list @t118 @t346 @t116 @t372))) % 2.63/3.01 (step @p716 :rule bool-eq-true :args (@t370)) % 2.63/3.01 (step @p717 :rule absorb :args ((= (or @t373 true) true))) % 2.63/3.01 (step @p718 :rule eq-refl :args (@t107)) % 2.63/3.01 (step @p719 :rule refl :args (@t373)) % 2.63/3.01 (step @p720 :rule nary_cong :premises (@p719 @p718) :args (@t374)) % 2.63/3.01 (step @p721 :rule trans :premises (@p720 @p717)) % 2.63/3.01 (step @p722 :rule refl :args (@t370)) % 2.63/3.01 (step @p723 :rule cong :premises (@p722 @p721) :args (@t375)) % 2.63/3.01 (step @p724 :rule trans :premises (@p723 @p716)) % 2.63/3.01 (step @p725 :rule cong :premises (@p146 @p724) :args ((=> @t78 @t375))) % 2.63/3.01 (assume-push @p785 @t78) % 2.63/3.01 (step @p727 :rule instantiate :premises (@p16) :args ((@list @t107 @t107))) % 2.63/3.01 (step-pop @p786 :rule scope :premises (@p727)) % 2.63/3.01 (step @p728 :rule process_scope :premises (@p786) :args (@t375)) % 2.63/3.01 (step @p730 :rule eq_resolve :premises (@p728 @p725)) % 2.63/3.01 (step @p731 :rule implies_elim :premises (@p730)) % 2.63/3.01 (step @p732 false :rule chain_m_resolution :premises (@p731 @p715 @p16) :args (false @t321 (@list @t370 @t78))) % 2.63/3.01 ) % 2.63/3.01 % SZS output end Proof % 2.63/3.01 % cvc5 exiting %------------------------------------------------------------------------------