%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT025+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 : n003.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 06:04:45 AM UTC 2026 % Result : Theorem 0.20s 0.54s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT025+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n003.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Mon Sep 7 12:11:39 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.20/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.20/0.54 % SZS status Theorem % 0.20/0.54 % SZS output start Proof % 0.20/0.54 ( % 0.20/0.54 (declare-sort $$unsorted 0) % 0.20/0.54 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.54 (declare-const tptp.cardinality_at_time (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.54 (declare-const tptp.first_movers $$unsorted) % 0.20/0.54 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.54 (declare-const tptp.constant (-> $$unsorted Bool)) % 0.20/0.54 (declare-const tptp.number_of_organizations (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.54 (declare-const tptp.zero $$unsorted) % 0.20/0.54 (declare-const tptp.increases (-> $$unsorted Bool)) % 0.20/0.54 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.20/0.54 (declare-const tptp.subpopulation (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.54 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.54 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.20/0.54 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.20/0.54 (declare-const tptp.efficient_producers $$unsorted) % 0.20/0.54 (declare-const tptp.decreases (-> $$unsorted Bool)) % 0.20/0.54 (define @t1 () (@var "T" $$unsorted)) % 0.20/0.54 (define @t2 () (tptp.cardinality_at_time tptp.efficient_producers @t1)) % 0.20/0.54 (define @t3 () (tptp.cardinality_at_time tptp.first_movers @t1)) % 0.20/0.54 (define @t4 () (@var "E" $$unsorted)) % 0.20/0.54 (define @t5 () (tptp.number_of_organizations @t4 @t1)) % 0.20/0.54 (define @t6 () (= @t5 (tptp.sum @t3 @t2))) % 0.20/0.54 (define @t7 () (@var "X" $$unsorted)) % 0.20/0.54 (define @t8 () (or (= @t7 tptp.efficient_producers) (= @t7 tptp.first_movers))) % 0.20/0.54 (define @t9 () (tptp.cardinality_at_time @t7 @t1)) % 0.20/0.54 (define @t10 () (tptp.greater @t9 tptp.zero)) % 0.20/0.54 (define @t11 () (=> @t10 @t8)) % 0.20/0.54 (define @t12 () (tptp.subpopulation @t7 @t4 @t1)) % 0.20/0.54 (define @t13 () (tptp.environment @t4)) % 0.20/0.54 (define @t14 () (and @t13 @t12 @t11)) % 0.20/0.54 (define @t15 () (=> @t14 @t6)) % 0.20/0.54 (define @t16 () (@list @t4 @t7 @t1)) % 0.20/0.54 (define @t17 () (forall @t16 @t15)) % 0.20/0.54 (define @t18 () (and (tptp.subpopulation tptp.first_movers @t4 @t1) (tptp.subpopulation tptp.efficient_producers @t4 @t1))) % 0.20/0.54 (define @t19 () (tptp.in_environment @t4 @t1)) % 0.20/0.54 (define @t20 () (and @t13 @t19)) % 0.20/0.54 (define @t21 () (@list @t4 @t1)) % 0.20/0.54 (define @t22 () (forall @t21 (=> @t20 @t18))) % 0.20/0.54 (define @t23 () (@var "C" $$unsorted)) % 0.20/0.54 (define @t24 () (@var "B" $$unsorted)) % 0.20/0.54 (define @t25 () (and (tptp.decreases @t24) (tptp.increases @t23))) % 0.20/0.54 (define @t26 () (and (tptp.increases @t24) (tptp.decreases @t23))) % 0.20/0.54 (define @t27 () (and (tptp.constant @t24) (tptp.constant @t23))) % 0.20/0.54 (define @t28 () (or @t27 @t26 @t25)) % 0.20/0.54 (define @t29 () (@var "A" $$unsorted)) % 0.20/0.54 (define @t30 () (tptp.constant @t29)) % 0.20/0.54 (define @t31 () (tptp.sum @t24 @t23)) % 0.20/0.54 (define @t32 () (= @t29 @t31)) % 0.20/0.54 (define @t33 () (and @t32 @t30)) % 0.20/0.54 (define @t34 () (@list @t29 @t24 @t23)) % 0.20/0.54 (define @t35 () (forall @t34 (=> @t33 @t28))) % 0.20/0.54 (define @t36 () (tptp.growth_rate @t7 @t1)) % 0.20/0.54 (define @t37 () (tptp.greater tptp.zero @t36)) % 0.20/0.54 (define @t38 () (tptp.decreases @t9)) % 0.20/0.54 (define @t39 () (=> @t38 @t37)) % 0.20/0.54 (define @t40 () (tptp.greater @t36 tptp.zero)) % 0.20/0.54 (define @t41 () (tptp.increases @t9)) % 0.20/0.54 (define @t42 () (=> @t41 @t40)) % 0.20/0.54 (define @t43 () (tptp.constant @t9)) % 0.20/0.54 (define @t44 () (=> @t43 (= @t36 tptp.zero))) % 0.20/0.54 (define @t45 () (and @t44 @t42 @t39)) % 0.20/0.54 (define @t46 () (and @t13 @t19 @t12 @t10)) % 0.20/0.54 (define @t47 () (=> @t46 @t45)) % 0.20/0.54 (define @t48 () (@list @t7 @t4 @t1)) % 0.20/0.54 (define @t49 () (forall @t48 @t47)) % 0.20/0.54 (define @t50 () (and (tptp.greater @t3 tptp.zero) (tptp.greater @t2 tptp.zero))) % 0.20/0.54 (define @t51 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t4 @t1)) % 0.20/0.54 (define @t52 () (and @t13 @t51)) % 0.20/0.54 (define @t53 () (forall @t21 (=> @t52 @t50))) % 0.20/0.54 (define @t54 () (forall @t21 (=> @t52 @t19))) % 0.20/0.54 (define @t55 () (tptp.growth_rate tptp.first_movers @t1)) % 0.20/0.54 (define @t56 () (tptp.growth_rate tptp.efficient_producers @t1)) % 0.20/0.54 (define @t57 () (and (tptp.greater @t56 tptp.zero) (tptp.greater tptp.zero @t55))) % 0.20/0.54 (define @t58 () (and (tptp.greater @t55 tptp.zero) (tptp.greater tptp.zero @t56))) % 0.20/0.54 (define @t59 () (and (= @t55 tptp.zero) (= @t56 tptp.zero))) % 0.20/0.54 (define @t60 () (or @t59 @t58 @t57)) % 0.20/0.54 (define @t61 () (tptp.constant @t5)) % 0.20/0.54 (define @t62 () (and @t13 @t51 @t61)) % 0.20/0.54 (define @t63 () (=> @t62 @t60)) % 0.20/0.54 (define @t64 () (forall @t21 @t63)) % 0.20/0.54 (define @t65 () (not @t64)) % 0.20/0.54 (define @t66 () (and (= tptp.zero @t55) (= tptp.zero @t56))) % 0.20/0.54 (define @t67 () (not @t61)) % 0.20/0.54 (define @t68 () (not @t51)) % 0.20/0.54 (define @t69 () (not @t13)) % 0.20/0.54 (define @t70 () (or @t69 @t68 @t67 @t66 @t58 @t57)) % 0.20/0.54 (define @t71 () (or @t66 @t58 @t57)) % 0.20/0.54 (define @t72 () (or @t69 @t68 @t67)) % 0.20/0.54 (define @t73 () (forall @t21 @t70)) % 0.20/0.54 (define @t74 () (@quantifiers_skolemize @t73 1)) % 0.20/0.54 (define @t75 () (tptp.growth_rate tptp.first_movers @t74)) % 0.20/0.54 (define @t76 () (tptp.greater tptp.zero @t75)) % 0.20/0.54 (define @t77 () (tptp.growth_rate tptp.efficient_producers @t74)) % 0.20/0.54 (define @t78 () (tptp.greater @t77 tptp.zero)) % 0.20/0.54 (define @t79 () (and @t78 @t76)) % 0.20/0.54 (define @t80 () (tptp.greater tptp.zero @t77)) % 0.20/0.54 (define @t81 () (tptp.greater @t75 tptp.zero)) % 0.20/0.54 (define @t82 () (and @t81 @t80)) % 0.20/0.54 (define @t83 () (= tptp.zero @t77)) % 0.20/0.54 (define @t84 () (= tptp.zero @t75)) % 0.20/0.54 (define @t85 () (and @t84 @t83)) % 0.20/0.54 (define @t86 () (@quantifiers_skolemize @t73 0)) % 0.20/0.54 (define @t87 () (tptp.number_of_organizations @t86 @t74)) % 0.20/0.54 (define @t88 () (tptp.constant @t87)) % 0.20/0.54 (define @t89 () (not @t88)) % 0.20/0.54 (define @t90 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t86 @t74)) % 0.20/0.54 (define @t91 () (not @t90)) % 0.20/0.54 (define @t92 () (tptp.environment @t86)) % 0.20/0.54 (define @t93 () (not @t92)) % 0.20/0.54 (define @t94 () (or @t93 @t91 @t89 @t85 @t82 @t79)) % 0.20/0.54 (define @t95 () (@list true)) % 0.20/0.54 (define @t96 () (@list @t94)) % 0.20/0.54 (define @t97 () (= tptp.zero @t36)) % 0.20/0.54 (define @t98 () (and (or (not @t43) @t97) (or (not @t41) @t40) (or (not @t38) @t37))) % 0.20/0.54 (define @t99 () (not @t10)) % 0.20/0.54 (define @t100 () (not @t12)) % 0.20/0.54 (define @t101 () (not @t19)) % 0.20/0.54 (define @t102 () (or @t69 @t101 @t100 @t99)) % 0.20/0.54 (define @t103 () (and (=> @t43 @t97) @t42 @t39)) % 0.20/0.54 (define @t104 () (@list @t86 @t74)) % 0.20/0.54 (define @t105 () (or @t69 @t68)) % 0.20/0.54 (define @t106 () (not @t52)) % 0.20/0.54 (define @t107 () (tptp.in_environment @t86 @t74)) % 0.20/0.54 (define @t108 () (or @t93 @t91 @t107)) % 0.20/0.54 (define @t109 () (@list false false false)) % 0.20/0.54 (define @t110 () (tptp.subpopulation tptp.efficient_producers @t86 @t74)) % 0.20/0.54 (define @t111 () (tptp.subpopulation tptp.first_movers @t86 @t74)) % 0.20/0.54 (define @t112 () (and @t111 @t110)) % 0.20/0.54 (define @t113 () (not @t107)) % 0.20/0.54 (define @t114 () (or @t93 @t113 @t112)) % 0.20/0.54 (define @t115 () (not @t112)) % 0.20/0.54 (define @t116 () (@list false)) % 0.20/0.54 (define @t117 () (@list @t112)) % 0.20/0.54 (define @t118 () (tptp.cardinality_at_time tptp.efficient_producers @t74)) % 0.20/0.54 (define @t119 () (tptp.greater @t118 tptp.zero)) % 0.20/0.54 (define @t120 () (tptp.cardinality_at_time tptp.first_movers @t74)) % 0.20/0.54 (define @t121 () (tptp.greater @t120 tptp.zero)) % 0.20/0.54 (define @t122 () (and @t121 @t119)) % 0.20/0.54 (define @t123 () (or @t93 @t91 @t122)) % 0.20/0.54 (define @t124 () (not @t122)) % 0.20/0.54 (define @t125 () (@list @t122)) % 0.20/0.54 (define @t126 () (tptp.decreases @t120)) % 0.20/0.54 (define @t127 () (not @t126)) % 0.20/0.54 (define @t128 () (or @t127 @t76)) % 0.20/0.54 (define @t129 () (tptp.increases @t120)) % 0.20/0.54 (define @t130 () (not @t129)) % 0.20/0.54 (define @t131 () (or @t130 @t81)) % 0.20/0.54 (define @t132 () (tptp.constant @t120)) % 0.20/0.54 (define @t133 () (not @t132)) % 0.20/0.54 (define @t134 () (or @t133 @t84)) % 0.20/0.54 (define @t135 () (and @t134 @t131 @t128)) % 0.20/0.54 (define @t136 () (not @t121)) % 0.20/0.54 (define @t137 () (not @t111)) % 0.20/0.54 (define @t138 () (or @t93 @t113 @t137 @t136 @t135)) % 0.20/0.54 (define @t139 () (@list false false false false false)) % 0.20/0.54 (define @t140 () (not @t135)) % 0.20/0.54 (define @t141 () (@list @t135)) % 0.20/0.54 (define @t142 () (not (tptp.constant @t31))) % 0.20/0.54 (define @t143 () (not (= @t31 @t31))) % 0.20/0.54 (define @t144 () (or @t143 @t142 @t27 @t26 @t25)) % 0.20/0.54 (define @t145 () (@list @t24 @t23)) % 0.20/0.54 (define @t146 () (not @t30)) % 0.20/0.54 (define @t147 () (not @t32)) % 0.20/0.54 (define @t148 () (or @t147 @t147 @t146 @t27 @t26 @t25)) % 0.20/0.54 (define @t149 () (@list @t29)) % 0.20/0.54 (define @t150 () (or @t147 @t146 @t27 @t26 @t25)) % 0.20/0.54 (define @t151 () (forall @t149 @t150)) % 0.20/0.54 (define @t152 () (forall @t145 @t151)) % 0.20/0.54 (define @t153 () (forall (@list @t24 @t23 @t29) @t150)) % 0.20/0.54 (define @t154 () (tptp.decreases @t118)) % 0.20/0.54 (define @t155 () (and @t129 @t154)) % 0.20/0.54 (define @t156 () (not @t155)) % 0.20/0.54 (define @t157 () (not @t154)) % 0.20/0.54 (define @t158 () (or @t157 @t80)) % 0.20/0.54 (define @t159 () (tptp.increases @t118)) % 0.20/0.54 (define @t160 () (not @t159)) % 0.20/0.54 (define @t161 () (or @t160 @t78)) % 0.20/0.54 (define @t162 () (tptp.constant @t118)) % 0.20/0.54 (define @t163 () (not @t162)) % 0.20/0.54 (define @t164 () (or @t163 @t83)) % 0.20/0.54 (define @t165 () (and @t164 @t161 @t158)) % 0.20/0.54 (define @t166 () (not @t119)) % 0.20/0.54 (define @t167 () (not @t110)) % 0.20/0.54 (define @t168 () (or @t93 @t113 @t167 @t166 @t165)) % 0.20/0.54 (define @t169 () (not @t165)) % 0.20/0.54 (define @t170 () (@list @t165)) % 0.20/0.54 (define @t171 () (@list true false false false false false false)) % 0.20/0.54 (define @t172 () (and @t132 @t162)) % 0.20/0.54 (define @t173 () (not @t172)) % 0.20/0.54 (define @t174 () (= tptp.first_movers @t7)) % 0.20/0.54 (define @t175 () (not @t174)) % 0.20/0.54 (define @t176 () (= tptp.efficient_producers @t7)) % 0.20/0.54 (define @t177 () (not @t176)) % 0.20/0.54 (define @t178 () (and @t10 @t177 @t175)) % 0.20/0.54 (define @t179 () (or @t69 @t100 @t178 @t6)) % 0.20/0.54 (define @t180 () (or @t176 @t174)) % 0.20/0.54 (define @t181 () (=> @t10 @t180)) % 0.20/0.54 (define @t182 () (not @t181)) % 0.20/0.54 (define @t183 () (or @t69 @t100 @t182)) % 0.20/0.54 (define @t184 () (and @t13 @t12 @t181)) % 0.20/0.54 (define @t185 () (tptp.sum @t120 @t118)) % 0.20/0.54 (define @t186 () (= @t87 @t185)) % 0.20/0.54 (define @t187 () (or @t93 @t167 @t186)) % 0.20/0.54 (define @t188 () (not (= tptp.first_movers tptp.efficient_producers))) % 0.20/0.54 (define @t189 () (not (= tptp.efficient_producers tptp.efficient_producers))) % 0.20/0.54 (define @t190 () (and @t119 @t189 @t188)) % 0.20/0.54 (define @t191 () (or @t93 @t167 @t190 @t186)) % 0.20/0.54 (define @t192 () (forall @t16 @t179)) % 0.20/0.54 (define @t193 () (tptp.constant @t185)) % 0.20/0.54 (define @t194 () (and @t126 @t159)) % 0.20/0.54 (define @t195 () (not @t193)) % 0.20/0.54 (define @t196 () (or @t195 @t172 @t155 @t194)) % 0.20/0.54 (define @t197 () (not @t194)) % 0.20/0.54 (define @t198 () (@list @t194)) % 0.20/0.54 (define @t199 () (@list false false)) % 0.20/0.54 (assume @p1 @t17) % 0.20/0.54 (assume @p2 @t22) % 0.20/0.54 (assume @p3 @t35) % 0.20/0.54 (assume @p4 @t49) % 0.20/0.54 (assume @p5 @t53) % 0.20/0.54 (assume @p6 @t54) % 0.20/0.54 (assume @p7 (forall @t16 (=> (and @t13 @t12 @t10) @t8))) % 0.20/0.54 (assume @p8 @t65) % 0.20/0.54 (assume @p9 true) % 0.20/0.54 (step @p10 :rule aci_norm :args ((= (or @t72 @t71) @t70))) % 0.20/0.54 (step @p11 :rule refl :args (@t71)) % 0.20/0.54 (step @p12 :rule aci_norm :args ((= (or @t69 (or @t68 @t67)) @t72))) % 0.20/0.54 (step @p13 :rule bool-and-de-morgan :args (@t51 @t61 true)) % 0.20/0.54 (step @p14 :rule refl :args (@t69)) % 0.20/0.54 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t69 (not (and @t51 @t61))))) % 0.20/0.54 (step @p16 :rule bool-and-de-morgan :args (@t13 @t51 (and @t61))) % 0.20/0.54 (step @p17 :rule trans :premises (@p16 @p15)) % 0.20/0.54 (step @p18 :rule trans :premises (@p17 @p12)) % 0.20/0.54 (step @p19 :rule nary_cong :premises (@p18 @p11) :args ((or (not @t62) @t71))) % 0.20/0.54 (step @p20 :rule trans :premises (@p19 @p10)) % 0.20/0.54 (step @p21 :rule bool-impl-elim :args (@t62 @t71)) % 0.20/0.54 (step @p22 :rule trans :premises (@p21 @p20)) % 0.20/0.54 (step @p23 :rule cong :premises (@p22) :args ((forall @t21 (=> @t62 @t71)))) % 0.20/0.54 (step @p24 :rule refl :args (@t57)) % 0.20/0.54 (step @p25 :rule refl :args (@t58)) % 0.20/0.54 (step @p26 :rule eq-symm :args (@t56 tptp.zero)) % 0.20/0.54 (step @p27 :rule eq-symm :args (@t55 tptp.zero)) % 0.20/0.54 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t59)) % 0.20/0.54 (step @p29 :rule nary_cong :premises (@p28 @p25 @p24) :args (@t60)) % 0.20/0.54 (step @p30 :rule refl :args (@t62)) % 0.20/0.54 (step @p31 :rule cong :premises (@p30 @p29) :args (@t63)) % 0.20/0.54 (step @p32 :rule cong :premises (@p31) :args (@t64)) % 0.20/0.54 (step @p33 :rule trans :premises (@p32 @p23)) % 0.20/0.54 (step @p34 :rule cong :premises (@p33) :args (@t65)) % 0.20/0.54 (step @p35 :rule eq_resolve :premises (@p8 @p34)) % 0.20/0.54 (step @p36 :rule skolemize :premises (@p35)) % 0.20/0.54 (step @p37 :rule cnf_or_neg :args (@t94 5)) % 0.20/0.54 (step @p38 :rule chain_m_resolution :premises (@p37 @p36) :args ((not @t79) @t95 @t96)) % 0.20/0.54 (step @p39 :rule aci_norm :args ((= (or @t102 @t98) (or @t69 @t101 @t100 @t99 @t98)))) % 0.20/0.54 (step @p40 :rule bool-impl-elim :args (@t38 @t37)) % 0.20/0.54 (step @p41 :rule bool-impl-elim :args (@t41 @t40)) % 0.20/0.54 (step @p42 :rule bool-impl-elim :args (@t43 @t97)) % 0.20/0.54 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40) :args (@t103)) % 0.20/0.54 (step @p44 :rule aci_norm :args ((= (or @t69 (or @t101 (or @t100 @t99))) @t102))) % 0.20/0.54 (step @p45 :rule bool-and-de-morgan :args (@t12 @t10 true)) % 0.20/0.54 (step @p46 :rule refl :args (@t101)) % 0.20/0.54 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t101 (not (and @t12 @t10))))) % 0.20/0.54 (step @p48 :rule bool-and-de-morgan :args (@t19 @t12 (and @t10))) % 0.20/0.54 (step @p49 :rule trans :premises (@p48 @p47)) % 0.20/0.54 (step @p50 :rule nary_cong :premises (@p14 @p49) :args ((or @t69 (not (and @t19 @t12 @t10))))) 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refl :args (@t119)) % 0.20/0.54 (step @p265 :rule nary_cong :premises (@p264 @p263 @p260) :args (@t190)) % 0.20/0.54 (step @p266 :rule trans :premises (@p265 @p258)) % 0.20/0.54 (step @p267 :rule refl :args (@t167)) % 0.20/0.54 (step @p268 :rule refl :args (@t93)) % 0.20/0.54 (step @p269 :rule nary_cong :premises (@p268 @p267 @p266 @p257) :args (@t191)) % 0.20/0.54 (step @p270 :rule trans :premises (@p269 @p256)) % 0.20/0.54 (step @p271 :rule refl :args (@t192)) % 0.20/0.54 (step @p272 :rule cong :premises (@p271 @p270) :args ((=> @t192 @t191))) % 0.20/0.54 (assume-push @p307 @t192) % 0.20/0.54 (step @p274 :rule instantiate :premises (@p255) :args ((@list @t86 tptp.efficient_producers @t74))) % 0.20/0.54 (step-pop @p308 :rule scope :premises (@p274)) % 0.20/0.54 (step @p275 :rule process_scope :premises (@p308) :args (@t191)) % 0.20/0.54 (step @p277 :rule eq_resolve :premises (@p275 @p272)) % 0.20/0.54 (step @p278 :rule implies_elim :premises (@p277)) % 0.20/0.54 (step @p279 :rule chain_m_resolution :premises (@p278 @p255) :args (@t187 @t116 (@list @t192))) % 0.20/0.54 (step @p280 :rule cnf_or_pos :args (@t187)) % 0.20/0.54 (step @p281 :rule reordering :premises (@p280) :args ((or @t93 @t167 @t186 (not @t187)))) % 0.20/0.54 (step @p282 :rule chain_m_resolution :premises (@p281 @p103 @p179 @p279) :args (@t186 @t109 (@list @t92 @t110 @t187))) % 0.20/0.54 (step @p283 :rule symm :premises (@p282)) % 0.20/0.54 (step @p284 :rule cong :premises (@p283) :args (@t193)) % 0.20/0.54 (step @p285 :rule trans :premises (@p284 @p219)) % 0.20/0.54 (step @p286 :rule true_elim :premises (@p285)) % 0.20/0.54 (step @p287 :rule cnf_or_pos :args (@t196)) % 0.20/0.54 (step @p288 :rule reordering :premises (@p287) :args ((or @t195 @t172 @t155 @t194 (not @t196)))) % 0.20/0.54 (step @p289 :rule chain_m_resolution :premises (@p288 @p286 @p212 @p194 @p166) :args (@t194 (@list false true true false) (@list @t193 @t172 @t155 @t196))) % 0.20/0.54 (step @p290 :rule cnf_and_pos :args (@t194 0)) % 0.20/0.54 (step @p291 :rule reordering :premises (@p290) :args ((or @t126 @t197))) % 0.20/0.54 (step @p292 :rule chain_m_resolution :premises (@p291 @p289) :args (@t126 @t116 @t198)) % 0.20/0.54 (step @p293 :rule cnf_or_pos :args (@t128)) % 0.20/0.54 (step @p294 :rule reordering :premises (@p293) :args ((or @t76 @t127 (not @t128)))) % 0.20/0.54 (step @p295 :rule chain_m_resolution :premises (@p294 @p292 @p133) :args (@t76 @t199 (@list @t126 @t128))) % 0.20/0.54 (step @p296 :rule cnf_and_pos :args (@t165 1)) % 0.20/0.54 (step @p297 :rule reordering :premises (@p296) :args ((or @t161 @t169))) % 0.20/0.54 (step @p298 :rule chain_m_resolution :premises (@p297 @p185) :args (@t161 @t116 @t170)) % 0.20/0.54 (step @p299 :rule cnf_and_pos :args (@t194 1)) % 0.20/0.54 (step @p300 :rule reordering :premises (@p299) :args ((or @t159 @t197))) % 0.20/0.54 (step @p301 :rule chain_m_resolution :premises (@p300 @p289) :args (@t159 @t116 @t198)) % 0.20/0.54 (step @p302 :rule cnf_or_pos :args (@t161)) % 0.20/0.54 (step @p303 :rule reordering :premises (@p302) :args ((or @t78 @t160 (not @t161)))) % 0.20/0.54 (step @p304 :rule chain_m_resolution :premises (@p303 @p301 @p298) :args (@t78 @t199 (@list @t159 @t161))) % 0.20/0.54 (step @p305 :rule cnf_and_neg :args (@t79)) % 0.20/0.54 (step @p306 false :rule chain_m_resolution :premises (@p305 @p304 @p295 @p38) :args (false (@list false false true) (@list @t78 @t76 @t79))) % 0.20/0.54 ) % 0.20/0.54 % SZS output end Proof % 0.20/0.54 % cvc5 exiting %------------------------------------------------------------------------------