%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT039-2 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 : Unsatisfiable 0.08s 0.42s % Output : Proof 0.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : MGT039-2 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.02 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.02/0.29 % Computer : n012.cluster.edu % 0.02/0.29 % Model : x86_64 x86_64 % 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.02/0.29 % Memory : 8046.5625MB % 0.02/0.29 % OS : Linux 6.8.0-71-generic % 0.02/0.29 % CPULimit : 300 % 0.02/0.29 % WCLimit : 300 % 0.02/0.29 % DateTime : Mon Sep 7 12:57:11 UTC 2026 % 0.02/0.30 % CPUTime : % 0.02/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.02/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.08/0.42 % SZS status Unsatisfiable % 0.08/0.42 % SZS output start Proof % 0.08/0.42 ( % 0.08/0.42 (declare-sort $$unsorted 0) % 0.08/0.42 (declare-const tptp.start_time (-> $$unsorted $$unsorted)) % 0.08/0.42 (declare-const tptp.critical_point (-> $$unsorted $$unsorted)) % 0.08/0.42 (declare-const tptp.slow_change (-> $$unsorted Bool)) % 0.08/0.42 (declare-const tptp.end_time (-> $$unsorted $$unsorted)) % 0.08/0.42 (declare-const tptp.appear (-> $$unsorted $$unsorted $$unsorted)) % 0.08/0.42 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.08/0.42 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.08/0.42 (declare-const tptp.cardinality_at_time (-> $$unsorted $$unsorted $$unsorted)) % 0.08/0.42 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.08/0.42 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.08/0.42 (declare-const tptp.sk1 (-> $$unsorted $$unsorted)) % 0.08/0.42 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.08/0.42 (declare-const tptp.efficient_producers $$unsorted) % 0.08/0.42 (declare-const tptp.zero $$unsorted) % 0.08/0.42 (declare-const tptp.sk3 $$unsorted) % 0.08/0.42 (declare-const tptp.subpopulation (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.08/0.42 (declare-const tptp.first_movers $$unsorted) % 0.08/0.43 (declare-const tptp.selection_favors (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.08/0.43 (declare-const tptp.propagation_strategy (-> $$unsorted Bool)) % 0.08/0.43 (declare-const tptp.sk2 (-> $$unsorted $$unsorted $$unsorted)) % 0.08/0.43 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.08/0.43 (declare-const tptp.observational_period (-> $$unsorted Bool)) % 0.08/0.43 (define @t1 () (@var "D" $$unsorted)) % 0.08/0.43 (define @t2 () (@var "B" $$unsorted)) % 0.08/0.43 (define @t3 () (@var "C" $$unsorted)) % 0.08/0.43 (define @t4 () (@var "A" $$unsorted)) % 0.08/0.43 (define @t5 () (not (tptp.environment @t4))) % 0.08/0.43 (define @t6 () (@list @t4 @t2 @t3 @t1)) % 0.08/0.43 (define @t7 () (tptp.selection_favors @t2 @t1 @t3)) % 0.08/0.43 (define @t8 () (tptp.cardinality_at_time @t1 @t3)) % 0.08/0.43 (define @t9 () (not (= @t8 tptp.zero))) % 0.08/0.43 (define @t10 () (not (tptp.greater (tptp.cardinality_at_time @t2 @t3) tptp.zero))) % 0.08/0.43 (define @t11 () (not (tptp.subpopulation @t1 @t4 @t3))) % 0.08/0.43 (define @t12 () (not (tptp.subpopulation @t2 @t4 @t3))) % 0.08/0.43 (define @t13 () (or @t5 @t12 @t11 @t10 @t9 @t7)) % 0.08/0.43 (define @t14 () (forall @t6 @t13)) % 0.08/0.43 (define @t15 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t4)) % 0.08/0.43 (define @t16 () (tptp.sk1 @t4)) % 0.08/0.43 (define @t17 () (tptp.environment @t16)) % 0.08/0.43 (define @t18 () (tptp.propagation_strategy tptp.efficient_producers)) % 0.08/0.43 (define @t19 () (not @t18)) % 0.08/0.43 (define @t20 () (tptp.propagation_strategy tptp.first_movers)) % 0.08/0.43 (define @t21 () (not @t20)) % 0.08/0.43 (define @t22 () (not (tptp.observational_period @t4))) % 0.08/0.43 (define @t23 () (or @t22 @t21 @t19 @t17 @t15)) % 0.08/0.43 (define @t24 () (@list @t4)) % 0.08/0.43 (define @t25 () (forall @t24 @t23)) % 0.08/0.43 (define @t26 () (tptp.in_environment @t4 @t16)) % 0.08/0.43 (define @t27 () (or @t22 @t21 @t19 @t26 @t15)) % 0.08/0.43 (define @t28 () (forall @t24 @t27)) % 0.08/0.43 (define @t29 () (not (tptp.selection_favors tptp.efficient_producers tptp.first_movers (tptp.end_time @t16)))) % 0.08/0.43 (define @t30 () (or @t22 @t21 @t19 @t29 @t15)) % 0.08/0.43 (define @t31 () (forall @t24 @t30)) % 0.08/0.43 (define @t32 () (tptp.sk2 @t2 @t4)) % 0.08/0.43 (define @t33 () (tptp.in_environment @t4 @t2)) % 0.08/0.43 (define @t34 () (not @t33)) % 0.08/0.43 (define @t35 () (not (tptp.environment @t2))) % 0.08/0.43 (define @t36 () (not (tptp.slow_change @t4))) % 0.08/0.43 (define @t37 () (@list @t4 @t2)) % 0.08/0.43 (define @t38 () (tptp.end_time @t4)) % 0.08/0.43 (define @t39 () (tptp.greater_or_equal @t38 @t2)) % 0.08/0.43 (define @t40 () (tptp.start_time @t4)) % 0.08/0.43 (define @t41 () (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers @t2) tptp.zero)) % 0.08/0.43 (define @t42 () (tptp.cardinality_at_time tptp.first_movers @t2)) % 0.08/0.43 (define @t43 () (tptp.appear tptp.efficient_producers @t4)) % 0.08/0.43 (define @t44 () (tptp.critical_point @t4)) % 0.08/0.43 (define @t45 () (tptp.greater @t4 @t2)) % 0.08/0.43 (define @t46 () (not @t45)) % 0.08/0.43 (define @t47 () (@list @t4 @t2 @t3)) % 0.08/0.43 (define @t48 () (forall @t47 (or @t46 (not (tptp.greater @t2 @t3)) (tptp.greater @t4 @t3)))) % 0.08/0.43 (define @t49 () (= @t4 @t2)) % 0.08/0.43 (define @t50 () (tptp.greater_or_equal @t4 @t2)) % 0.08/0.43 (define @t51 () (forall @t37 (or (not @t50) @t45 @t49))) % 0.08/0.43 (define @t52 () (not @t49)) % 0.08/0.43 (define @t53 () (or @t52 @t50)) % 0.08/0.43 (define @t54 () (forall @t37 @t53)) % 0.08/0.43 (define @t55 () (not (= @t2 @t44))) % 0.08/0.43 (define @t56 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t3) (tptp.growth_rate tptp.first_movers @t3))) % 0.08/0.43 (define @t57 () (not (tptp.greater @t3 @t2))) % 0.08/0.43 (define @t58 () (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t4 @t3))) % 0.08/0.43 (define @t59 () (or @t5 @t55 @t58 @t57 @t56)) % 0.08/0.43 (define @t60 () (forall @t47 @t59)) % 0.08/0.43 (define @t61 () (tptp.observational_period tptp.sk3)) % 0.08/0.43 (define @t62 () (tptp.slow_change tptp.sk3)) % 0.08/0.43 (define @t63 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers tptp.sk3)) % 0.08/0.43 (define @t64 () (tptp.sk1 tptp.sk3)) % 0.08/0.43 (define @t65 () (tptp.appear tptp.efficient_producers @t64)) % 0.08/0.43 (define @t66 () (tptp.end_time @t64)) % 0.08/0.43 (define @t67 () (@list @t64 @t66)) % 0.08/0.43 (define @t68 () (or @t22 @t17 @t15)) % 0.08/0.43 (define @t69 () (forall @t24 @t68)) % 0.08/0.43 (define @t70 () (or @t21 @t19 @t68)) % 0.08/0.43 (define @t71 () (@list false false)) % 0.08/0.43 (define @t72 () (@list @t20 @t18)) % 0.08/0.43 (define @t73 () (@list tptp.sk3)) % 0.08/0.43 (define @t74 () (tptp.environment @t64)) % 0.08/0.43 (define @t75 () (not @t61)) % 0.08/0.43 (define @t76 () (or @t75 @t74 @t63)) % 0.08/0.43 (define @t77 () (@list true false false)) % 0.08/0.43 (define @t78 () (or @t22 @t29 @t15)) % 0.08/0.43 (define @t79 () (forall @t24 @t78)) % 0.08/0.43 (define @t80 () (or @t21 @t19 @t78)) % 0.08/0.43 (define @t81 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t66)) % 0.08/0.43 (define @t82 () (not @t81)) % 0.08/0.43 (define @t83 () (or @t75 @t82 @t63)) % 0.08/0.43 (define @t84 () (tptp.greater_or_equal @t2 @t2)) % 0.08/0.43 (define @t85 () (not (= @t2 @t2))) % 0.08/0.43 (define @t86 () (or @t85 @t84)) % 0.08/0.43 (define @t87 () (@list @t2)) % 0.08/0.43 (define @t88 () (or @t52 @t52 @t50)) % 0.08/0.43 (define @t89 () (forall @t24 @t53)) % 0.08/0.43 (define @t90 () (forall @t87 @t89)) % 0.08/0.43 (define @t91 () (forall (@list @t2 @t4) @t53)) % 0.08/0.43 (define @t92 () (tptp.start_time @t64)) % 0.08/0.43 (define @t93 () (tptp.greater_or_equal @t66 @t92)) % 0.08/0.43 (define @t94 () (tptp.in_environment @t64 @t92)) % 0.08/0.43 (define @t95 () (not @t94)) % 0.08/0.43 (define @t96 () (not @t74)) % 0.08/0.43 (define @t97 () (or @t96 @t95 @t93)) % 0.08/0.43 (define @t98 () (tptp.greater @t66 @t92)) % 0.08/0.43 (define @t99 () (not @t98)) % 0.08/0.43 (define @t100 () (or @t99 @t93)) % 0.08/0.43 (define @t101 () (@list tptp.sk3 @t64)) % 0.08/0.43 (define @t102 () (or @t22 @t26 @t15)) % 0.08/0.43 (define @t103 () (forall @t24 @t102)) % 0.08/0.43 (define @t104 () (or @t21 @t19 @t102)) % 0.08/0.43 (define @t105 () (tptp.in_environment tptp.sk3 @t64)) % 0.08/0.43 (define @t106 () (or @t75 @t105 @t63)) % 0.08/0.43 (define @t107 () (tptp.critical_point @t64)) % 0.08/0.43 (define @t108 () (tptp.sk2 @t64 tptp.sk3)) % 0.08/0.43 (define @t109 () (tptp.greater @t108 @t107)) % 0.08/0.43 (define @t110 () (not @t105)) % 0.08/0.43 (define @t111 () (not @t62)) % 0.08/0.43 (define @t112 () (or @t75 @t111 @t96 @t110 @t109)) % 0.08/0.43 (define @t113 () (@list false false false false false)) % 0.08/0.43 (define @t114 () (tptp.greater @t66 @t107)) % 0.08/0.43 (define @t115 () (not @t109)) % 0.08/0.43 (define @t116 () (tptp.greater @t66 @t108)) % 0.08/0.43 (define @t117 () (not @t116)) % 0.08/0.43 (define @t118 () (or @t117 @t115 @t114)) % 0.08/0.43 (define @t119 () (tptp.in_environment @t64 @t108)) % 0.08/0.43 (define @t120 () (or @t75 @t111 @t96 @t110 @t119)) % 0.08/0.43 (define @t121 () (tptp.greater_or_equal @t66 @t108)) % 0.08/0.43 (define @t122 () (not @t119)) % 0.08/0.43 (define @t123 () (or @t96 @t122 @t121)) % 0.08/0.43 (define @t124 () (@list false false false)) % 0.08/0.43 (define @t125 () (= @t66 @t108)) % 0.08/0.43 (define @t126 () (not @t121)) % 0.08/0.43 (define @t127 () (or @t126 @t116 @t125)) % 0.08/0.43 (define @t128 () (not @t125)) % 0.08/0.43 (define @t129 () (not @t114)) % 0.08/0.43 (define @t130 () (= false true)) % 0.08/0.43 (define @t131 () (tptp.greater @t107 @t92)) % 0.08/0.43 (define @t132 () (not @t131)) % 0.08/0.43 (define @t133 () (or @t129 @t132 @t98)) % 0.08/0.43 (define @t134 () (@list @t64)) % 0.08/0.43 (define @t135 () (tptp.greater_or_equal @t107 @t92)) % 0.08/0.43 (define @t136 () (or @t96 @t135)) % 0.08/0.43 (define @t137 () (= @t107 @t92)) % 0.08/0.43 (define @t138 () (not @t135)) % 0.08/0.43 (define @t139 () (or @t138 @t131 @t137)) % 0.08/0.43 (define @t140 () (tptp.greater_or_equal @t66 @t107)) % 0.08/0.43 (define @t141 () (or @t129 @t140)) % 0.08/0.43 (define @t142 () (tptp.in_environment @t64 @t107)) % 0.08/0.43 (define @t143 () (not @t140)) % 0.08/0.43 (define @t144 () (or @t96 @t138 @t143 @t142)) % 0.08/0.43 (define @t145 () (@list false false false false)) % 0.08/0.43 (define @t146 () (not @t137)) % 0.08/0.43 (define @t147 () (not @t142)) % 0.08/0.43 (define @t148 () (tptp.in_environment @t64 @t66)) % 0.08/0.43 (define @t149 () (tptp.greater_or_equal @t66 @t66)) % 0.08/0.43 (define @t150 () (not @t149)) % 0.08/0.43 (define @t151 () (not @t93)) % 0.08/0.43 (define @t152 () (or @t96 @t151 @t150 @t148)) % 0.08/0.43 (define @t153 () (tptp.subpopulation tptp.first_movers @t64 @t66)) % 0.08/0.43 (define @t154 () (not @t148)) % 0.08/0.43 (define @t155 () (or @t96 @t154 @t153)) % 0.08/0.43 (define @t156 () (tptp.subpopulation tptp.efficient_producers @t64 @t66)) % 0.08/0.43 (define @t157 () (or @t96 @t154 @t156)) % 0.08/0.43 (define @t158 () (tptp.cardinality_at_time tptp.first_movers @t66)) % 0.08/0.43 (define @t159 () (= tptp.zero @t158)) % 0.08/0.43 (define @t160 () (not @t159)) % 0.08/0.43 (define @t161 () (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers @t66) tptp.zero)) % 0.08/0.43 (define @t162 () (not @t161)) % 0.08/0.43 (define @t163 () (not @t153)) % 0.08/0.43 (define @t164 () (not @t156)) % 0.08/0.43 (define @t165 () (or @t96 @t164 @t163 @t162 @t160 @t81)) % 0.08/0.43 (define @t166 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t66) (tptp.growth_rate tptp.first_movers @t66))) % 0.08/0.43 (define @t167 () (not @t166)) % 0.08/0.43 (define @t168 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t64 @t66)) % 0.08/0.43 (define @t169 () (not @t168)) % 0.08/0.43 (define @t170 () (or @t96 @t169 @t167 @t81)) % 0.08/0.43 (define @t171 () (not (tptp.greater @t3 @t44))) % 0.08/0.43 (define @t172 () (not (= @t44 @t44))) % 0.08/0.43 (define @t173 () (or @t5 @t172 @t58 @t171 @t56)) % 0.08/0.43 (define @t174 () (@list @t4 @t3)) % 0.08/0.43 (define @t175 () (or @t55 @t5 @t55 @t58 @t57 @t56)) % 0.08/0.43 (define @t176 () (forall @t87 @t59)) % 0.08/0.43 (define @t177 () (forall @t174 @t176)) % 0.08/0.43 (define @t178 () (forall (@list @t4 @t3 @t2) @t59)) % 0.08/0.43 (define @t179 () (or @t96 @t169 @t129 @t166)) % 0.08/0.43 (define @t180 () (tptp.greater @t158 tptp.zero)) % 0.08/0.43 (define @t181 () (not @t180)) % 0.08/0.43 (define @t182 () (or @t96 @t154 @t181 @t162 @t168)) % 0.08/0.43 (define @t183 () (tptp.greater_or_equal @t158 tptp.zero)) % 0.08/0.43 (define @t184 () (or @t96 @t154 @t183)) % 0.08/0.43 (define @t185 () (not @t183)) % 0.08/0.43 (define @t186 () (or @t185 @t180 (= @t158 tptp.zero))) % 0.08/0.43 (define @t187 () (or @t185 @t180 @t159)) % 0.08/0.43 (define @t188 () (tptp.greater_or_equal @t66 @t65)) % 0.08/0.43 (define @t189 () (not @t188)) % 0.08/0.43 (define @t190 () (or @t96 @t154 @t189 @t161)) % 0.08/0.43 (define @t191 () (tptp.greater @t66 @t65)) % 0.08/0.43 (define @t192 () (not @t191)) % 0.08/0.43 (define @t193 () (or @t192 @t188)) % 0.08/0.43 (define @t194 () (@list true false)) % 0.08/0.43 (define @t195 () (= @t107 @t65)) % 0.08/0.43 (define @t196 () (not @t195)) % 0.08/0.43 (define @t197 () (tptp.greater_or_equal @t107 @t65)) % 0.08/0.43 (define @t198 () (or @t96 @t197)) % 0.08/0.43 (define @t199 () (tptp.greater @t107 @t65)) % 0.08/0.43 (define @t200 () (not @t197)) % 0.08/0.43 (define @t201 () (or @t200 @t199 @t195)) % 0.08/0.43 (define @t202 () (not @t199)) % 0.08/0.43 (define @t203 () (or @t129 @t202 @t191)) % 0.08/0.43 (define @t204 () (not @t203)) % 0.08/0.43 (assume @p1 (forall @t6 (or @t5 (not (tptp.subpopulations @t2 @t3 @t4 @t1)) (not (tptp.greater (tptp.growth_rate @t3 @t1) (tptp.growth_rate @t2 @t1))) (tptp.selection_favors @t3 @t2 @t1)))) % 0.08/0.43 (assume @p2 @t14) % 0.08/0.43 (assume @p3 @t25) % 0.08/0.43 (assume @p4 @t28) % 0.08/0.43 (assume @p5 @t31) % 0.08/0.43 (assume @p6 (forall @t37 (or @t22 @t36 @t35 @t34 (tptp.in_environment @t2 @t32)))) % 0.08/0.43 (assume @p7 (forall @t37 (or @t22 @t36 @t35 @t34 (tptp.greater @t32 (tptp.critical_point @t2))))) % 0.08/0.43 (assume @p8 @t20) % 0.08/0.43 (assume @p9 @t18) % 0.08/0.43 (assume @p10 (forall @t37 (or @t5 (not (tptp.greater_or_equal @t2 @t40)) (not @t39) @t33))) % 0.08/0.43 (assume @p11 (forall @t37 (or @t5 @t34 @t39))) % 0.08/0.43 (assume @p12 (forall @t37 (or @t5 @t34 (not (tptp.greater @t42 tptp.zero)) (not @t41) (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t4 @t2)))) % 0.08/0.43 (assume @p13 (forall @t37 (or @t5 @t34 (tptp.greater_or_equal @t42 tptp.zero)))) % 0.08/0.43 (assume @p14 (forall @t37 (or @t5 @t34 (tptp.subpopulation tptp.first_movers @t4 @t2)))) % 0.08/0.43 (assume @p15 (forall @t37 (or @t5 @t34 (tptp.subpopulation tptp.efficient_producers @t4 @t2)))) % 0.08/0.43 (assume @p16 (forall @t24 (or @t5 (tptp.greater_or_equal @t44 @t43)))) % 0.08/0.43 (assume @p17 (forall @t24 (or @t5 (tptp.greater_or_equal @t44 @t40)))) % 0.08/0.43 (assume @p18 @t48) % 0.08/0.43 (assume @p19 (forall @t37 (or @t5 (not (tptp.greater @t2 @t40)) (tptp.greater @t2 @t38) @t39))) % 0.08/0.43 (assume @p20 @t51) % 0.08/0.43 (assume @p21 (forall @t37 (or @t46 @t50))) % 0.08/0.43 (assume @p22 @t54) % 0.08/0.43 (assume @p23 (forall @t37 (or @t5 @t55 (not (tptp.greater (tptp.growth_rate tptp.efficient_producers @t2) (tptp.growth_rate tptp.first_movers @t2)))))) % 0.08/0.43 (assume @p24 @t60) % 0.08/0.43 (assume @p25 (forall @t37 (or @t5 @t34 (not (tptp.greater_or_equal @t2 @t43)) @t41))) % 0.08/0.43 (assume @p26 @t61) % 0.08/0.43 (assume @p27 @t62) % 0.08/0.43 (assume @p28 (not @t63)) % 0.08/0.43 (step @p29 :rule instantiate :premises (@p21) :args 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cong :premises (@p210) :args (@t177)) % 0.08/0.43 (step @p212 :rule quant-merge-prenex :args ((= @t177 @t178))) % 0.08/0.43 (step @p213 :rule symm :premises (@p212)) % 0.08/0.43 (step @p214 :rule quant_var_reordering :args ((= @t60 @t178))) % 0.08/0.43 (step @p215 :rule trans :premises (@p214 @p213 @p211)) % 0.08/0.43 (step @p216 :rule trans :premises (@p215 @p206)) % 0.08/0.43 (step @p217 :rule eq_resolve :premises (@p24 @p216)) % 0.08/0.43 (step @p218 :rule instantiate :premises (@p217) :args (@t67)) % 0.08/0.43 (step @p219 :rule cnf_or_pos :args (@t179)) % 0.08/0.43 (step @p220 :rule reordering :premises (@p219) :args ((or @t96 @t129 @t169 @t166 (not @t179)))) % 0.08/0.43 (step @p221 :rule chain_m_resolution :premises (@p220 @p218 @p130 @p40 @p196 @p194 @p50 @p40) :args (@t169 (@list false false false true false true false) (@list @t179 @t114 @t74 @t166 @t170 @t81 @t74))) % 0.08/0.43 (step @p222 :rule instantiate :premises (@p12) :args (@t67)) % 0.08/0.43 (step @p223 :rule cnf_or_pos :args (@t182)) % 0.08/0.43 (step @p224 :rule reordering :premises (@p223) :args ((or @t96 @t168 @t154 @t162 @t181 (not @t182)))) % 0.08/0.43 (step @p225 :rule instantiate :premises (@p13) :args (@t67)) % 0.08/0.43 (step @p226 :rule cnf_or_pos :args (@t184)) % 0.08/0.43 (step @p227 :rule reordering :premises (@p226) :args ((or @t96 @t154 @t183 (not @t184)))) % 0.08/0.43 (step @p228 :rule chain_m_resolution :premises (@p227 @p40 @p173 @p225) :args (@t183 @t124 (@list @t74 @t148 @t184))) % 0.08/0.43 (step @p229 :rule eq-symm :args (@t158 tptp.zero)) % 0.08/0.43 (step @p230 :rule refl :args (@t180)) % 0.08/0.43 (step @p231 :rule refl :args (@t185)) % 0.08/0.43 (step @p232 :rule nary_cong :premises (@p231 @p230 @p229) :args (@t186)) % 0.08/0.43 (step @p233 :rule refl :args (@t51)) % 0.08/0.43 (step @p234 :rule cong :premises (@p233 @p232) :args ((=> @t51 @t186))) % 0.08/0.43 (assume-push @p302 @t51) % 0.08/0.43 (step @p236 :rule instantiate :premises (@p20) :args ((@list @t158 tptp.zero))) % 0.08/0.43 (step-pop @p303 :rule scope :premises (@p236)) % 0.08/0.43 (step @p237 :rule process_scope :premises (@p303) :args (@t186)) % 0.08/0.43 (step @p239 :rule eq_resolve :premises (@p237 @p234)) % 0.08/0.43 (step @p240 :rule implies_elim :premises (@p239)) % 0.08/0.43 (step @p241 :rule chain_m_resolution :premises (@p240 @p20) :args (@t187 (@list false) (@list @t51))) % 0.08/0.43 (step @p242 :rule cnf_or_pos :args (@t187)) % 0.08/0.43 (step @p243 :rule reordering :premises (@p242) :args ((or @t180 @t185 @t159 (not @t187)))) % 0.08/0.43 (step @p244 :rule chain_m_resolution :premises (@p243 @p241 @p228 @p224 @p222 @p221 @p173 @p40 @p193 @p191 @p180 @p176 @p50 @p40) :args (@t162 (@list false false true false true false false true false false false true false) (@list @t187 @t183 @t180 @t182 @t168 @t148 @t74 @t159 @t165 @t156 @t153 @t81 @t74))) % 0.08/0.43 (step @p245 :rule cnf_or_pos :args (@t190)) % 0.08/0.43 (step @p246 :rule reordering :premises (@p245) :args ((or @t96 @t154 @t189 @t161 (not @t190)))) % 0.08/0.43 (step @p247 :rule chain_m_resolution :premises (@p246 @p40 @p173 @p244 @p30) :args (@t189 (@list false false true false) (@list @t74 @t148 @t161 @t190))) % 0.08/0.43 (step @p248 :rule cnf_or_pos :args (@t193)) % 0.08/0.43 (step @p249 :rule reordering :premises (@p248) :args ((or @t188 @t192 (not @t193)))) % 0.08/0.43 (step @p250 :rule chain_m_resolution :premises (@p249 @p247 @p29) :args (@t192 @t194 (@list @t188 @t193))) % 0.08/0.43 (step @p251 :rule instantiate :premises (@p20) :args ((@list @t107 @t65))) % 0.08/0.43 (step @p252 :rule bool-double-not-elim :args (@t188)) % 0.08/0.43 (step @p253 :rule refl :args (@t196)) % 0.08/0.43 (step @p254 :rule refl :args (@t143)) % 0.08/0.43 (step @p255 :rule nary_cong :premises (@p254 @p253 @p252) :args ((or @t143 @t196 (not @t189)))) % 0.08/0.43 (assume-push @p304 @t140) % 0.08/0.43 (assume-push @p305 @t195) % 0.08/0.43 (assume-push @p306 @t189) % 0.08/0.43 (step @p115 :rule evaluate :args (@t130)) % 0.08/0.43 (step @p259 :rule true_intro :premises (@p304)) % 0.08/0.43 (step @p260 :rule symm :premises (@p305)) % 0.08/0.43 (step @p261 :rule refl :args (@t66)) % 0.08/0.43 (step @p262 :rule cong :premises (@p261 @p260) :args (@t188)) % 0.08/0.43 (step @p263 :rule false_intro :premises (@p306)) % 0.08/0.43 (step @p264 :rule symm :premises (@p263)) % 0.08/0.43 (step @p265 :rule trans :premises (@p264 @p262 @p259)) % 0.08/0.43 (step @p266 false :rule eq_resolve :premises (@p265 @p115)) % 0.08/0.43 (step-pop @p307 :rule scope :premises (@p266)) % 0.08/0.43 (step-pop @p308 :rule scope :premises (@p307)) % 0.08/0.43 (step-pop @p309 :rule scope :premises (@p308)) % 0.08/0.43 (step @p267 :rule process_scope :premises (@p309) :args (false)) % 0.08/0.43 (step @p271 :rule not_and :premises (@p267)) % 0.08/0.43 (step @p272 :rule eq_resolve :premises (@p271 @p255)) % 0.08/0.43 (step @p273 :rule chain_m_resolution :premises (@p272 @p145 @p247) :args (@t196 (@list false true) (@list @t140 @t188))) % 0.08/0.43 (step @p274 :rule instantiate :premises (@p16) :args (@t134)) % 0.08/0.43 (step @p275 :rule cnf_or_pos :args (@t198)) % 0.08/0.43 (step @p276 :rule reordering :premises (@p275) :args ((or @t96 @t197 (not @t198)))) % 0.08/0.43 (step @p277 :rule chain_m_resolution :premises (@p276 @p40 @p274) :args (@t197 @t71 (@list @t74 @t198))) % 0.08/0.43 (step @p278 :rule cnf_or_pos :args (@t201)) % 0.08/0.43 (step @p279 :rule reordering :premises (@p278) :args ((or @t200 @t199 @t195 (not @t201)))) % 0.08/0.43 (step @p280 :rule chain_m_resolution :premises (@p279 @p277 @p273 @p251) :args (@t199 (@list false true false) (@list @t197 @t195 @t201))) % 0.08/0.43 (step @p281 :rule cnf_or_pos :args (@t203)) % 0.08/0.43 (step @p282 :rule reordering :premises (@p281) :args ((or @t202 @t129 @t191 @t204))) % 0.08/0.43 (step @p283 :rule chain_m_resolution :premises (@p282 @p280 @p130 @p250) :args (@t204 (@list false false true) (@list @t199 @t114 @t191))) % 0.08/0.43 (assume-push @p310 @t48) % 0.08/0.43 (step @p285 :rule instantiate :premises (@p18) :args ((@list @t66 @t107 @t65))) % 0.08/0.43 (step-pop @p311 :rule scope :premises (@p285)) % 0.08/0.43 (step @p286 :rule process_scope :premises (@p311) :args (@t203)) % 0.08/0.43 (step @p288 :rule implies_elim :premises (@p286)) % 0.08/0.43 (step @p289 false :rule chain_m_resolution :premises (@p288 @p283 @p18) :args (false @t194 (@list @t203 @t48))) % 0.08/0.43 ) % 0.08/0.43 % SZS output end Proof % 0.08/0.43 % cvc5 exiting %------------------------------------------------------------------------------