%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT028+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 : n014.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 0.19s 0.52s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT028+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 % 0.08/0.35 % Computer : n014.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Mon Sep 7 12:15:11 UTC 2026 % 0.08/0.35 % CPUTime : % 0.13/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.52 % SZS status Theorem % 0.19/0.52 % SZS output start Proof % 0.19/0.52 ( % 0.19/0.52 (declare-sort $$unsorted 0) % 0.19/0.52 (declare-const tptp.stable (-> $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.appear (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.52 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.efficient_producers $$unsorted) % 0.19/0.52 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.zero $$unsorted) % 0.19/0.52 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.52 (declare-const tptp.first_movers $$unsorted) % 0.19/0.52 (define @t1 () (@var "T" $$unsorted)) % 0.19/0.52 (define @t2 () (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers @t1))) % 0.19/0.52 (define @t3 () (@var "T2" $$unsorted)) % 0.19/0.52 (define @t4 () (tptp.greater_or_equal @t1 @t3)) % 0.19/0.52 (define @t5 () (@var "E" $$unsorted)) % 0.19/0.52 (define @t6 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t5 @t1)) % 0.19/0.52 (define @t7 () (and @t6 @t4)) % 0.19/0.52 (define @t8 () (@list @t1)) % 0.19/0.52 (define @t9 () (forall @t8 (=> @t7 @t2))) % 0.19/0.52 (define @t10 () (tptp.appear tptp.efficient_producers @t5)) % 0.19/0.52 (define @t11 () (tptp.greater @t3 @t10)) % 0.19/0.52 (define @t12 () (and @t11 @t9)) % 0.19/0.52 (define @t13 () (@list @t3)) % 0.19/0.52 (define @t14 () (exists @t13 @t12)) % 0.19/0.52 (define @t15 () (@var "T1" $$unsorted)) % 0.19/0.52 (define @t16 () (tptp.greater_or_equal @t1 @t15)) % 0.19/0.52 (define @t17 () (and @t6 @t16)) % 0.19/0.52 (define @t18 () (forall @t8 (=> @t17 @t2))) % 0.19/0.52 (define @t19 () (tptp.in_environment @t5 @t15)) % 0.19/0.52 (define @t20 () (and @t19 @t18)) % 0.19/0.52 (define @t21 () (@list @t15)) % 0.19/0.52 (define @t22 () (exists @t21 @t20)) % 0.19/0.52 (define @t23 () (tptp.stable @t5)) % 0.19/0.52 (define @t24 () (tptp.environment @t5)) % 0.19/0.52 (define @t25 () (and @t24 @t23 @t22)) % 0.19/0.52 (define @t26 () (=> @t25 @t14)) % 0.19/0.52 (define @t27 () (@list @t5)) % 0.19/0.52 (define @t28 () (forall @t27 @t26)) % 0.19/0.52 (define @t29 () (and (tptp.greater (tptp.growth_rate tptp.efficient_producers @t1) tptp.zero) @t2)) % 0.19/0.52 (define @t30 () (@var "To" $$unsorted)) % 0.19/0.52 (define @t31 () (tptp.greater_or_equal @t1 @t30)) % 0.19/0.52 (define @t32 () (and @t6 @t31)) % 0.19/0.52 (define @t33 () (forall @t8 (=> @t32 @t29))) % 0.19/0.52 (define @t34 () (tptp.in_environment @t5 @t30)) % 0.19/0.52 (define @t35 () (and @t34 @t33)) % 0.19/0.52 (define @t36 () (@list @t30)) % 0.19/0.52 (define @t37 () (exists @t36 @t35)) % 0.19/0.52 (define @t38 () (and @t24 @t23)) % 0.19/0.52 (define @t39 () (=> @t38 @t37)) % 0.19/0.52 (define @t40 () (forall @t27 @t39)) % 0.19/0.52 (define @t41 () (forall @t8 (=> @t32 @t2))) % 0.19/0.52 (define @t42 () (tptp.greater @t30 @t10)) % 0.19/0.52 (define @t43 () (and @t42 @t41)) % 0.19/0.52 (define @t44 () (exists @t36 @t43)) % 0.19/0.52 (define @t45 () (=> @t38 @t44)) % 0.19/0.52 (define @t46 () (forall @t27 @t45)) % 0.19/0.52 (define @t47 () (not @t46)) % 0.19/0.52 (define @t48 () (@var "BOUND_VARIABLE_7516" $$unsorted)) % 0.19/0.52 (define @t49 () (not @t6)) % 0.19/0.52 (define @t50 () (not (forall @t8 (or @t49 (not (tptp.greater_or_equal @t1 @t48)) @t2)))) % 0.19/0.52 (define @t51 () (not (tptp.in_environment @t5 @t48))) % 0.19/0.52 (define @t52 () (not @t4)) % 0.19/0.52 (define @t53 () (or @t49 @t52 @t2)) % 0.19/0.52 (define @t54 () (forall @t8 @t53)) % 0.19/0.52 (define @t55 () (not (forall @t13 (or (not @t11) (not @t54))))) % 0.19/0.52 (define @t56 () (not @t23)) % 0.19/0.52 (define @t57 () (not @t24)) % 0.19/0.52 (define @t58 () (or @t51 @t50)) % 0.19/0.52 (define @t59 () (or @t57 @t56 @t58 @t55)) % 0.19/0.52 (define @t60 () (forall (@list @t5 @t48) @t59)) % 0.19/0.52 (define @t61 () (@list @t48)) % 0.19/0.52 (define @t62 () (forall @t61 @t59)) % 0.19/0.52 (define @t63 () (forall @t61 @t58)) % 0.19/0.52 (define @t64 () (or @t57 @t56 @t63 @t55)) % 0.19/0.52 (define @t65 () (not @t16)) % 0.19/0.52 (define @t66 () (or @t49 @t65 @t2)) % 0.19/0.52 (define @t67 () (forall @t8 @t66)) % 0.19/0.52 (define @t68 () (forall @t21 (or (not @t19) (not @t67)))) % 0.19/0.52 (define @t69 () (or @t57 @t56 @t68 @t55)) % 0.19/0.52 (define @t70 () (not @t68)) % 0.19/0.52 (define @t71 () (not @t70)) % 0.19/0.52 (define @t72 () (or @t57 @t56 @t71)) % 0.19/0.52 (define @t73 () (and @t24 @t23 @t70)) % 0.19/0.52 (define @t74 () (and @t11 @t54)) % 0.19/0.52 (define @t75 () (forall @t13 (not @t74))) % 0.19/0.52 (define @t76 () (not @t75)) % 0.19/0.52 (define @t77 () (and @t19 @t67)) % 0.19/0.52 (define @t78 () (forall @t21 (not @t77))) % 0.19/0.52 (define @t79 () (not @t78)) % 0.19/0.52 (define @t80 () (not @t31)) % 0.19/0.52 (define @t81 () (or @t49 @t80 @t2)) % 0.19/0.52 (define @t82 () (forall @t8 @t81)) % 0.19/0.52 (define @t83 () (not (forall @t36 (or (not @t42) (not @t82))))) % 0.19/0.52 (define @t84 () (or @t57 @t56 @t83)) % 0.19/0.52 (define @t85 () (@quantifiers_skolemize (forall @t27 @t84) 0)) % 0.19/0.52 (define @t86 () (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t85 @t1))) % 0.19/0.52 (define @t87 () (forall @t36 (or (not (tptp.in_environment @t85 @t30)) (not (forall @t8 (or @t86 @t80 @t29)))))) % 0.19/0.52 (define @t88 () (@quantifiers_skolemize @t87 0)) % 0.19/0.52 (define @t89 () (or @t57 @t56)) % 0.19/0.52 (define @t90 () (not @t38)) % 0.19/0.52 (define @t91 () (and @t42 @t82)) % 0.19/0.52 (define @t92 () (forall @t36 (not @t91))) % 0.19/0.52 (define @t93 () (not @t92)) % 0.19/0.52 (define @t94 () (or @t49 @t80)) % 0.19/0.52 (define @t95 () (not @t32)) % 0.19/0.52 (define @t96 () (tptp.appear tptp.efficient_producers @t85)) % 0.19/0.52 (define @t97 () (forall @t36 (or (not (tptp.greater @t30 @t96)) (not (forall @t8 (or @t86 @t80 @t2)))))) % 0.19/0.52 (define @t98 () (not @t97)) % 0.19/0.52 (define @t99 () (tptp.stable @t85)) % 0.19/0.52 (define @t100 () (not @t99)) % 0.19/0.52 (define @t101 () (tptp.environment @t85)) % 0.19/0.52 (define @t102 () (not @t101)) % 0.19/0.52 (define @t103 () (or @t102 @t100 @t98)) % 0.19/0.52 (define @t104 () (@list true)) % 0.19/0.52 (define @t105 () (@list @t103)) % 0.19/0.52 (define @t106 () (@var "BOUND_VARIABLE_7902" $$unsorted)) % 0.19/0.52 (define @t107 () (@var "BOUND_VARIABLE_7903" $$unsorted)) % 0.19/0.52 (define @t108 () (@list @t106 @t107)) % 0.19/0.52 (define @t109 () (forall @t13 (or (not (tptp.greater @t3 @t96)) (not (forall @t8 (or @t86 @t52 @t2)))))) % 0.19/0.52 (define @t110 () (or @t49 @t80 @t29)) % 0.19/0.52 (define @t111 () (forall @t8 @t110)) % 0.19/0.52 (define @t112 () (not (forall @t36 (or (not @t34) (not @t111))))) % 0.19/0.52 (define @t113 () (and @t34 @t111)) % 0.19/0.52 (define @t114 () (forall @t36 (not @t113))) % 0.19/0.52 (define @t115 () (not @t114)) % 0.19/0.52 (define @t116 () (not @t87)) % 0.19/0.52 (define @t117 () (or @t102 @t100 @t116)) % 0.19/0.52 (define @t118 () (tptp.in_environment @t85 @t88)) % 0.19/0.52 (define @t119 () (not (tptp.greater_or_equal @t1 @t88))) % 0.19/0.52 (define @t120 () (forall @t8 (or @t86 @t119 @t29))) % 0.19/0.52 (define @t121 () (not @t120)) % 0.19/0.52 (define @t122 () (not @t118)) % 0.19/0.52 (define @t123 () (or @t122 @t121)) % 0.19/0.52 (define @t124 () (@list @t123)) % 0.19/0.52 (define @t125 () (forall @t8 (or @t86 @t119 @t2))) % 0.19/0.52 (define @t126 () (not @t125)) % 0.19/0.52 (define @t127 () (not @t109)) % 0.19/0.52 (define @t128 () (or @t102 @t100 @t127 @t122 @t126)) % 0.19/0.52 (define @t129 () (@quantifiers_skolemize @t125 0)) % 0.19/0.52 (define @t130 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t85 @t129)) % 0.19/0.52 (define @t131 () (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers @t129))) % 0.19/0.52 (define @t132 () (tptp.greater_or_equal @t129 @t88)) % 0.19/0.52 (define @t133 () (not @t132)) % 0.19/0.52 (define @t134 () (not @t130)) % 0.19/0.52 (define @t135 () (or @t134 @t133 @t131)) % 0.19/0.52 (define @t136 () (@list @t135)) % 0.19/0.52 (define @t137 () (and (tptp.greater (tptp.growth_rate tptp.efficient_producers @t129) tptp.zero) @t131)) % 0.19/0.52 (define @t138 () (not @t137)) % 0.19/0.52 (define @t139 () (or @t134 @t133 @t137)) % 0.19/0.52 (assume @p1 @t28) % 0.19/0.52 (assume @p2 @t40) % 0.19/0.52 (assume @p3 @t47) % 0.19/0.52 (assume @p4 true) % 0.19/0.52 (step @p5 :rule aci_norm :args ((= @t59 (or @t57 @t56 @t55 @t51 @t50)))) % 0.19/0.52 (step @p6 :rule cong :premises (@p5) :args (@t60)) % 0.19/0.52 (step @p7 :rule quant-merge-prenex :args ((= (forall @t27 @t62) @t60))) % 0.19/0.52 (step @p8 :rule refl :args (@t55)) % 0.19/0.52 (step @p9 :rule alpha_equiv :args (@t63 (@list @t48) (@list @t15))) % 0.19/0.52 (step @p10 :rule refl :args (@t56)) % 0.19/0.52 (step @p11 :rule refl :args (@t57)) % 0.19/0.52 (step @p12 :rule nary_cong :premises (@p11 @p10 @p9 @p8) :args (@t64)) % 0.19/0.52 (step @p13 :rule quant-miniscope-or :args ((= @t62 @t64))) % 0.19/0.52 (step @p14 :rule trans :premises (@p13 @p12)) % 0.19/0.52 (step @p15 :rule symm :premises (@p14)) % 0.19/0.52 (step @p16 :rule cong :premises (@p15) :args ((forall @t27 @t69))) % 0.19/0.52 (step @p17 :rule trans :premises (@p16 @p7)) % 0.19/0.52 (step @p18 :rule trans :premises (@p17 @p6)) % 0.19/0.52 (step @p19 :rule aci_norm :args ((= (or (or @t57 @t56 @t68) @t55) @t69))) % 0.19/0.52 (step @p20 :rule bool-double-not-elim :args (@t68)) % 0.19/0.52 (step @p21 :rule nary_cong :premises (@p11 @p10 @p20) :args (@t72)) % 0.19/0.52 (step @p22 :rule aci_norm :args ((= (or @t57 (or @t56 @t71)) @t72))) % 0.19/0.52 (step @p23 :rule trans :premises (@p22 @p21)) % 0.19/0.52 (step @p24 :rule bool-and-de-morgan :args (@t23 @t70 true)) % 0.19/0.52 (step @p25 :rule nary_cong :premises (@p11 @p24) :args ((or @t57 (not (and @t23 @t70))))) % 0.19/0.52 (step @p26 :rule bool-and-de-morgan :args (@t24 @t23 (and @t70))) % 0.19/0.52 (step @p27 :rule trans :premises (@p26 @p25)) % 0.19/0.52 (step @p28 :rule trans :premises (@p27 @p23)) % 0.19/0.52 (step @p29 :rule nary_cong :premises (@p28 @p8) :args ((or (not @t73) @t55))) % 0.19/0.52 (step @p30 :rule trans :premises (@p29 @p19)) % 0.19/0.52 (step @p31 :rule bool-impl-elim :args (@t73 @t55)) % 0.19/0.52 (step @p32 :rule trans :premises (@p31 @p30)) % 0.19/0.52 (step @p33 :rule cong :premises (@p32) :args ((forall @t27 (=> @t73 @t55)))) % 0.19/0.52 (step @p34 :rule trans :premises (@p33 @p18)) % 0.19/0.52 (step @p35 :rule bool-and-de-morgan :args (@t11 @t54 true)) % 0.19/0.52 (step @p36 :rule cong :premises (@p35) :args (@t75)) % 0.19/0.52 (step @p37 :rule cong :premises (@p36) :args (@t76)) % 0.19/0.52 (step @p38 :rule exists-elim :args ((= (exists @t13 @t74) @t76))) % 0.19/0.52 (step @p39 :rule trans :premises (@p38 @p37)) % 0.19/0.52 (step @p40 :rule aci_norm :args ((= (or (or @t49 @t52) @t2) @t53))) % 0.19/0.52 (step @p41 :rule refl :args (@t2)) % 0.19/0.52 (step @p42 :rule bool-and-de-morgan :args (@t6 @t4 true)) % 0.19/0.52 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or (not @t7) @t2))) % 0.19/0.52 (step @p44 :rule trans :premises (@p43 @p40)) % 0.19/0.52 (step @p45 :rule bool-impl-elim :args (@t7 @t2)) % 0.19/0.52 (step @p46 :rule trans :premises (@p45 @p44)) % 0.19/0.52 (step @p47 :rule cong :premises (@p46) :args (@t9)) % 0.19/0.52 (step @p48 :rule refl :args (@t11)) % 0.19/0.52 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t12)) % 0.19/0.52 (step @p50 :rule cong :premises (@p49) :args (@t14)) % 0.19/0.52 (step @p51 :rule trans :premises (@p50 @p39)) % 0.19/0.52 (step @p52 :rule bool-and-de-morgan :args (@t19 @t67 true)) % 0.19/0.52 (step @p53 :rule cong :premises (@p52) :args (@t78)) % 0.19/0.52 (step @p54 :rule cong :premises (@p53) :args (@t79)) % 0.19/0.52 (step @p55 :rule exists-elim :args ((= (exists @t21 @t77) @t79))) % 0.19/0.52 (step @p56 :rule trans :premises (@p55 @p54)) % 0.19/0.52 (step @p57 :rule aci_norm :args ((= (or (or @t49 @t65) @t2) @t66))) % 0.19/0.52 (step @p58 :rule bool-and-de-morgan :args (@t6 @t16 true)) % 0.19/0.52 (step @p59 :rule nary_cong :premises (@p58 @p41) :args ((or (not @t17) @t2))) % 0.19/0.52 (step @p60 :rule trans :premises (@p59 @p57)) % 0.19/0.52 (step @p61 :rule bool-impl-elim :args (@t17 @t2)) % 0.19/0.52 (step @p62 :rule trans :premises (@p61 @p60)) % 0.19/0.52 (step @p63 :rule cong :premises (@p62) :args (@t18)) % 0.19/0.52 (step @p64 :rule refl :args (@t19)) % 0.19/0.52 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t20)) % 0.19/0.52 (step @p66 :rule cong :premises (@p65) :args (@t22)) % 0.19/0.52 (step @p67 :rule trans :premises (@p66 @p56)) % 0.19/0.52 (step @p68 :rule refl :args (@t23)) % 0.19/0.52 (step @p69 :rule refl :args (@t24)) % 0.19/0.52 (step @p70 :rule nary_cong :premises (@p69 @p68 @p67) :args (@t25)) % 0.19/0.52 (step @p71 :rule cong :premises (@p70 @p51) :args (@t26)) % 0.19/0.52 (step @p72 :rule cong :premises (@p71) :args (@t28)) % 0.19/0.52 (step @p73 :rule trans :premises (@p72 @p34)) % 0.19/0.52 (step @p74 :rule eq_resolve :premises (@p1 @p73)) % 0.19/0.52 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t85 @t88))) % 0.19/0.52 (step @p76 :rule aci_norm :args ((= (or @t89 @t83) @t84))) % 0.19/0.52 (step @p77 :rule refl :args (@t83)) % 0.19/0.52 (step @p78 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 0.19/0.52 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t90 @t83))) % 0.19/0.52 (step @p80 :rule trans :premises (@p79 @p76)) % 0.19/0.52 (step @p81 :rule bool-impl-elim :args (@t38 @t83)) % 0.19/0.52 (step @p82 :rule trans :premises (@p81 @p80)) % 0.19/0.52 (step @p83 :rule cong :premises (@p82) :args ((forall @t27 (=> @t38 @t83)))) % 0.19/0.52 (step @p84 :rule bool-and-de-morgan :args (@t42 @t82 true)) % 0.19/0.52 (step @p85 :rule cong :premises (@p84) :args (@t92)) % 0.19/0.52 (step @p86 :rule cong :premises (@p85) :args (@t93)) % 0.19/0.52 (step @p87 :rule exists-elim :args ((= (exists @t36 @t91) @t93))) % 0.19/0.52 (step @p88 :rule trans :premises (@p87 @p86)) % 0.19/0.52 (step @p89 :rule aci_norm :args ((= (or @t94 @t2) @t81))) % 0.19/0.52 (step @p90 :rule bool-and-de-morgan :args (@t6 @t31 true)) % 0.19/0.52 (step @p91 :rule nary_cong :premises (@p90 @p41) :args ((or @t95 @t2))) % 0.19/0.52 (step @p92 :rule trans :premises (@p91 @p89)) % 0.19/0.52 (step @p93 :rule bool-impl-elim :args (@t32 @t2)) % 0.19/0.52 (step @p94 :rule trans :premises (@p93 @p92)) % 0.19/0.52 (step @p95 :rule cong :premises (@p94) :args (@t41)) % 0.19/0.52 (step @p96 :rule refl :args (@t42)) % 0.19/0.52 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t43)) % 0.19/0.52 (step @p98 :rule cong :premises (@p97) :args (@t44)) % 0.19/0.52 (step @p99 :rule trans :premises (@p98 @p88)) % 0.19/0.52 (step @p100 :rule refl :args (@t38)) % 0.19/0.52 (step @p101 :rule cong :premises (@p100 @p99) :args (@t45)) % 0.19/0.52 (step @p102 :rule cong :premises (@p101) :args (@t46)) % 0.19/0.52 (step @p103 :rule trans :premises (@p102 @p83)) % 0.19/0.52 (step @p104 :rule cong :premises (@p103) :args (@t47)) % 0.19/0.52 (step @p105 :rule eq_resolve :premises (@p3 @p104)) % 0.19/0.52 (step @p106 :rule skolemize :premises (@p105)) % 0.19/0.52 (step @p107 :rule bool-double-not-elim :args (@t97)) % 0.19/0.52 (step @p108 :rule refl :args (@t103)) % 0.19/0.52 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t103 (not @t98)))) % 0.19/0.52 (step @p110 :rule cnf_or_neg :args (@t103 2)) % 0.19/0.52 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 0.19/0.52 (step @p112 :rule reordering :premises (@p111) :args ((or @t97 @t103))) % 0.19/0.52 (step @p113 :rule chain_m_resolution :premises (@p112 @p106) :args (@t97 @t104 @t105)) % 0.19/0.52 (step @p114 :rule alpha_equiv :args ((forall (@list @t107) (or (not (tptp.greater @t107 @t96)) (not (forall (@list @t106) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t85 @t106)) (not (tptp.greater_or_equal @t106 @t107)) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers @t106))))))) @t108 (@list @t1 @t3))) % 0.19/0.52 (step @p115 :rule alpha_equiv :args (@t97 (@list @t1 @t30) @t108)) % 0.19/0.52 (step @p116 :rule trans :premises (@p115 @p114)) % 0.19/0.52 (step @p117 :rule equiv_elim1 :premises (@p116)) % 0.19/0.52 (step @p118 :rule chain_m_resolution :premises (@p117 @p113) :args (@t109 (@list false) (@list @t97))) % 0.19/0.52 (step @p119 :rule aci_norm :args ((= (or @t89 @t112) (or @t57 @t56 @t112)))) % 0.19/0.52 (step @p120 :rule refl :args (@t112)) % 0.19/0.52 (step @p121 :rule nary_cong :premises (@p78 @p120) :args ((or @t90 @t112))) % 0.19/0.52 (step @p122 :rule trans :premises (@p121 @p119)) % 0.19/0.52 (step @p123 :rule bool-impl-elim :args (@t38 @t112)) % 0.19/0.52 (step @p124 :rule trans :premises (@p123 @p122)) % 0.19/0.52 (step @p125 :rule cong :premises (@p124) :args ((forall @t27 (=> @t38 @t112)))) % 0.19/0.52 (step @p126 :rule bool-and-de-morgan :args (@t34 @t111 true)) % 0.19/0.52 (step @p127 :rule cong :premises (@p126) :args (@t114)) % 0.19/0.52 (step @p128 :rule cong :premises (@p127) :args (@t115)) % 0.19/0.52 (step @p129 :rule exists-elim :args ((= (exists @t36 @t113) @t115))) % 0.19/0.52 (step @p130 :rule trans :premises (@p129 @p128)) % 0.19/0.52 (step @p131 :rule aci_norm :args ((= (or @t94 @t29) @t110))) % 0.19/0.52 (step @p132 :rule refl :args (@t29)) % 0.19/0.52 (step @p133 :rule nary_cong :premises (@p90 @p132) :args ((or @t95 @t29))) % 0.19/0.52 (step @p134 :rule trans :premises (@p133 @p131)) % 0.19/0.52 (step @p135 :rule bool-impl-elim :args (@t32 @t29)) % 0.19/0.52 (step @p136 :rule trans :premises (@p135 @p134)) % 0.19/0.52 (step @p137 :rule cong :premises (@p136) :args (@t33)) % 0.19/0.52 (step @p138 :rule refl :args (@t34)) % 0.19/0.52 (step @p139 :rule nary_cong :premises (@p138 @p137) :args (@t35)) % 0.19/0.52 (step @p140 :rule cong :premises (@p139) :args (@t37)) % 0.19/0.52 (step @p141 :rule trans :premises (@p140 @p130)) % 0.19/0.52 (step @p142 :rule cong :premises (@p100 @p141) :args (@t39)) % 0.19/0.52 (step @p143 :rule cong :premises (@p142) :args (@t40)) % 0.19/0.52 (step @p144 :rule trans :premises (@p143 @p125)) % 0.19/0.52 (step @p145 :rule eq_resolve :premises (@p2 @p144)) % 0.19/0.52 (step @p146 :rule instantiate :premises (@p145) :args ((@list @t85))) % 0.19/0.52 (step @p147 :rule bool-double-not-elim :args (@t99)) % 0.19/0.52 (step @p148 :rule nary_cong :premises (@p108 @p147) :args ((or @t103 (not @t100)))) % 0.19/0.52 (step @p149 :rule cnf_or_neg :args (@t103 1)) % 0.19/0.52 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 0.19/0.52 (step @p151 :rule reordering :premises (@p150) :args ((or @t99 @t103))) % 0.19/0.52 (step @p152 :rule chain_m_resolution :premises (@p151 @p106) :args (@t99 @t104 @t105)) % 0.19/0.52 (step @p153 :rule bool-double-not-elim :args (@t101)) % 0.19/0.52 (step @p154 :rule nary_cong :premises (@p108 @p153) :args ((or @t103 (not @t102)))) % 0.19/0.52 (step @p155 :rule cnf_or_neg :args (@t103 0)) % 0.19/0.52 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 0.19/0.52 (step @p157 :rule reordering :premises (@p156) :args ((or @t101 @t103))) % 0.19/0.52 (step @p158 :rule chain_m_resolution :premises (@p157 @p106) :args (@t101 @t104 @t105)) % 0.19/0.52 (step @p159 :rule cnf_or_pos :args (@t117)) % 0.19/0.52 (step @p160 :rule reordering :premises (@p159) :args ((or @t102 @t100 @t116 (not @t117)))) % 0.19/0.52 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p152 @p146) :args (@t116 (@list false false false) (@list @t101 @t99 @t117))) % 0.19/0.52 (step @p162 :rule skolemize :premises (@p161)) % 0.19/0.52 (step @p163 :rule bool-double-not-elim :args (@t118)) % 0.19/0.52 (step @p164 :rule refl :args (@t123)) % 0.19/0.52 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t123 (not @t122)))) % 0.19/0.52 (step @p166 :rule cnf_or_neg :args (@t123 0)) % 0.19/0.52 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.19/0.52 (step @p168 :rule reordering :premises (@p167) :args ((or @t118 @t123))) % 0.19/0.52 (step @p169 :rule chain_m_resolution :premises (@p168 @p162) :args (@t118 @t104 @t124)) % 0.19/0.52 (step @p170 :rule cnf_or_pos :args (@t128)) % 0.19/0.52 (step @p171 :rule reordering :premises (@p170) :args ((or @t102 @t100 @t122 @t127 @t126 (not @t128)))) % 0.19/0.52 (step @p172 :rule chain_m_resolution :premises (@p171 @p158 @p152 @p169 @p118 @p75) :args (@t126 (@list false false false false false) (@list @t101 @t99 @t118 @t109 @t128))) % 0.19/0.52 (step @p173 :rule skolemize :premises (@p172)) % 0.19/0.52 (step @p174 :rule bool-double-not-elim :args (@t130)) % 0.19/0.52 (step @p175 :rule refl :args (@t135)) % 0.19/0.52 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or @t135 (not @t134)))) % 0.19/0.52 (step @p177 :rule cnf_or_neg :args (@t135 0)) % 0.19/0.52 (step @p178 :rule eq_resolve :premises (@p177 @p176)) % 0.19/0.52 (step @p179 :rule reordering :premises (@p178) :args ((or @t130 @t135))) % 0.19/0.52 (step @p180 :rule chain_m_resolution :premises (@p179 @p173) :args (@t130 @t104 @t136)) % 0.19/0.52 (step @p181 :rule bool-double-not-elim :args (@t132)) % 0.19/0.52 (step @p182 :rule nary_cong :premises (@p175 @p181) :args ((or @t135 (not @t133)))) % 0.19/0.52 (step @p183 :rule cnf_or_neg :args (@t135 1)) % 0.19/0.52 (step @p184 :rule eq_resolve :premises (@p183 @p182)) % 0.19/0.52 (step @p185 :rule reordering :premises (@p184) :args ((or @t132 @t135))) % 0.19/0.52 (step @p186 :rule chain_m_resolution :premises (@p185 @p173) :args (@t132 @t104 @t136)) % 0.19/0.52 (step @p187 :rule cnf_or_neg :args (@t135 2)) % 0.19/0.52 (step @p188 :rule chain_m_resolution :premises (@p187 @p173) :args ((not @t131) @t104 @t136)) % 0.19/0.52 (step @p189 :rule cnf_and_pos :args (@t137 1)) % 0.19/0.52 (step @p190 :rule reordering :premises (@p189) :args ((or @t131 @t138))) % 0.19/0.52 (step @p191 :rule chain_m_resolution :premises (@p190 @p188) :args (@t138 @t104 (@list @t131))) % 0.19/0.52 (step @p192 :rule bool-double-not-elim :args (@t120)) % 0.19/0.52 (step @p193 :rule nary_cong :premises (@p164 @p192) :args ((or @t123 (not @t121)))) % 0.19/0.52 (step @p194 :rule cnf_or_neg :args (@t123 1)) % 0.19/0.52 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 0.19/0.52 (step @p196 :rule reordering :premises (@p195) :args ((or @t120 @t123))) % 0.19/0.52 (step @p197 :rule chain_m_resolution :premises (@p196 @p162) :args (@t120 @t104 @t124)) % 0.19/0.52 (step @p198 :rule instantiate :premises (@p197) :args ((@list @t129))) % 0.19/0.52 (step @p199 :rule cnf_or_pos :args (@t139)) % 0.19/0.52 (step @p200 :rule reordering :premises (@p199) :args ((or @t134 @t133 @t137 (not @t139)))) % 0.19/0.52 (step @p201 false :rule chain_m_resolution :premises (@p200 @p198 @p191 @p186 @p180) :args (false (@list false true false false) (@list @t139 @t137 @t132 @t130))) % 0.19/0.52 ) % 0.19/0.52 % SZS output end Proof % 0.19/0.52 % cvc5 exiting %------------------------------------------------------------------------------