%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT023+2 : 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 : n007.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 06:04:44 AM UTC 2026 % Result : Theorem 0.20s 0.53s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT023+2 : 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 : n007.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 12:05:41 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.20/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.20/0.53 % SZS status Theorem % 0.20/0.53 % SZS output start Proof % 0.20/0.53 ( % 0.20/0.53 (declare-sort $$unsorted 0) % 0.20/0.53 (declare-const tptp.critical_point (-> $$unsorted $$unsorted)) % 0.20/0.53 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.stable (-> $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.efficient_producers $$unsorted) % 0.20/0.53 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.53 (declare-const tptp.first_movers $$unsorted) % 0.20/0.53 (define @t1 () (@var "T" $$unsorted)) % 0.20/0.53 (define @t2 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t1) (tptp.growth_rate tptp.first_movers @t1))) % 0.20/0.53 (define @t3 () (@var "To" $$unsorted)) % 0.20/0.53 (define @t4 () (tptp.greater @t1 @t3)) % 0.20/0.53 (define @t5 () (@var "E" $$unsorted)) % 0.20/0.53 (define @t6 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t5 @t1)) % 0.20/0.53 (define @t7 () (and @t6 @t4)) % 0.20/0.53 (define @t8 () (@list @t1)) % 0.20/0.53 (define @t9 () (forall @t8 (=> @t7 @t2))) % 0.20/0.53 (define @t10 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t3) (tptp.growth_rate tptp.first_movers @t3))) % 0.20/0.53 (define @t11 () (not @t10)) % 0.20/0.53 (define @t12 () (tptp.in_environment @t5 @t3)) % 0.20/0.53 (define @t13 () (and @t12 @t11 @t9)) % 0.20/0.53 (define @t14 () (@list @t3)) % 0.20/0.53 (define @t15 () (exists @t14 @t13)) % 0.20/0.53 (define @t16 () (tptp.greater_or_equal @t1 @t3)) % 0.20/0.53 (define @t17 () (and @t6 @t16)) % 0.20/0.53 (define @t18 () (forall @t8 (=> @t17 @t2))) % 0.20/0.53 (define @t19 () (and @t12 @t18)) % 0.20/0.53 (define @t20 () (exists @t14 @t19)) % 0.20/0.53 (define @t21 () (tptp.environment @t5)) % 0.20/0.53 (define @t22 () (and @t21 @t20)) % 0.20/0.53 (define @t23 () (=> @t22 @t15)) % 0.20/0.53 (define @t24 () (@list @t5)) % 0.20/0.53 (define @t25 () (forall @t24 @t23)) % 0.20/0.53 (define @t26 () (tptp.critical_point @t5)) % 0.20/0.53 (define @t27 () (= @t3 @t26)) % 0.20/0.53 (define @t28 () (and @t21 @t11 @t12 @t9)) % 0.20/0.53 (define @t29 () (=> @t28 @t27)) % 0.20/0.53 (define @t30 () (@list @t5 @t3)) % 0.20/0.53 (define @t31 () (forall @t30 @t29)) % 0.20/0.53 (define @t32 () (tptp.stable @t5)) % 0.20/0.53 (define @t33 () (and @t21 @t32)) % 0.20/0.53 (define @t34 () (=> @t33 @t20)) % 0.20/0.53 (define @t35 () (forall @t24 @t34)) % 0.20/0.53 (define @t36 () (tptp.in_environment @t5 @t26)) % 0.20/0.53 (define @t37 () (forall @t24 (=> @t33 @t36))) % 0.20/0.53 (define @t38 () (not @t37)) % 0.20/0.53 (define @t39 () (not @t32)) % 0.20/0.53 (define @t40 () (not @t21)) % 0.20/0.53 (define @t41 () (or @t40 @t39 @t36)) % 0.20/0.53 (define @t42 () (or @t40 @t39)) % 0.20/0.53 (define @t43 () (not @t33)) % 0.20/0.53 (define @t44 () (@quantifiers_skolemize (forall @t24 @t41) 0)) % 0.20/0.53 (define @t45 () (tptp.critical_point @t44)) % 0.20/0.53 (define @t46 () (tptp.in_environment @t44 @t45)) % 0.20/0.53 (define @t47 () (tptp.stable @t44)) % 0.20/0.53 (define @t48 () (not @t47)) % 0.20/0.53 (define @t49 () (tptp.environment @t44)) % 0.20/0.53 (define @t50 () (not @t49)) % 0.20/0.53 (define @t51 () (or @t50 @t48 @t46)) % 0.20/0.53 (define @t52 () (@list true)) % 0.20/0.53 (define @t53 () (@list @t51)) % 0.20/0.53 (define @t54 () (not @t4)) % 0.20/0.53 (define @t55 () (not @t6)) % 0.20/0.53 (define @t56 () (or @t55 @t54 @t2)) % 0.20/0.53 (define @t57 () (forall @t8 @t56)) % 0.20/0.53 (define @t58 () (not @t57)) % 0.20/0.53 (define @t59 () (not @t12)) % 0.20/0.53 (define @t60 () (or @t40 @t10 @t59 @t58 @t27)) % 0.20/0.53 (define @t61 () (not @t11)) % 0.20/0.53 (define @t62 () (or @t40 @t61 @t59 @t58)) % 0.20/0.53 (define @t63 () (and @t21 @t11 @t12 @t57)) % 0.20/0.53 (define @t64 () (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t44 @t1))) % 0.20/0.53 (define @t65 () (not (tptp.in_environment @t44 @t3))) % 0.20/0.53 (define @t66 () (forall @t14 (or @t65 @t10 (not (forall @t8 (or @t64 @t54 @t2)))))) % 0.20/0.53 (define @t67 () (@quantifiers_skolemize @t66 0)) % 0.20/0.53 (define @t68 () (forall @t8 (or @t64 (not (tptp.greater @t1 @t67)) @t2))) % 0.20/0.53 (define @t69 () (not @t68)) % 0.20/0.53 (define @t70 () (tptp.in_environment @t44 @t67)) % 0.20/0.53 (define @t71 () (not @t70)) % 0.20/0.53 (define @t72 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t67) (tptp.growth_rate tptp.first_movers @t67))) % 0.20/0.53 (define @t73 () (or @t50 @t72 @t71 @t69 (= @t67 @t45))) % 0.20/0.53 (define @t74 () (forall @t30 @t60)) % 0.20/0.53 (define @t75 () (= @t45 @t67)) % 0.20/0.53 (define @t76 () (or @t50 @t72 @t71 @t69 @t75)) % 0.20/0.53 (define @t77 () (@var "BOUND_VARIABLE_7505" $$unsorted)) % 0.20/0.53 (define @t78 () (not (forall @t8 (or @t55 (not (tptp.greater_or_equal @t1 @t77)) @t2)))) % 0.20/0.53 (define @t79 () (not (tptp.in_environment @t5 @t77))) % 0.20/0.53 (define @t80 () (not (forall @t14 (or @t59 @t10 @t58)))) % 0.20/0.53 (define @t81 () (or @t79 @t78)) % 0.20/0.53 (define @t82 () (or @t40 @t81 @t80)) % 0.20/0.53 (define @t83 () (forall (@list @t5 @t77) @t82)) % 0.20/0.53 (define @t84 () (@list @t77)) % 0.20/0.53 (define @t85 () (forall @t84 @t82)) % 0.20/0.53 (define @t86 () (forall @t84 @t81)) % 0.20/0.53 (define @t87 () (or @t40 @t86 @t80)) % 0.20/0.53 (define @t88 () (not @t16)) % 0.20/0.53 (define @t89 () (or @t55 @t88 @t2)) % 0.20/0.53 (define @t90 () (forall @t8 @t89)) % 0.20/0.53 (define @t91 () (forall @t14 (or @t59 (not @t90)))) % 0.20/0.53 (define @t92 () (or @t40 @t91 @t80)) % 0.20/0.53 (define @t93 () (not @t91)) % 0.20/0.53 (define @t94 () (and @t21 @t93)) % 0.20/0.53 (define @t95 () (or @t59 @t61 @t58)) % 0.20/0.53 (define @t96 () (and @t12 @t11 @t57)) % 0.20/0.53 (define @t97 () (forall @t14 (not @t96))) % 0.20/0.53 (define @t98 () (not @t97)) % 0.20/0.53 (define @t99 () (and @t12 @t90)) % 0.20/0.53 (define @t100 () (forall @t14 (not @t99))) % 0.20/0.53 (define @t101 () (not @t100)) % 0.20/0.53 (define @t102 () (forall @t14 (or @t65 (not (forall @t8 (or @t64 @t88 @t2)))))) % 0.20/0.53 (define @t103 () (@quantifiers_skolemize @t102 0)) % 0.20/0.53 (define @t104 () (not @t102)) % 0.20/0.53 (define @t105 () (or @t50 @t48 @t104)) % 0.20/0.53 (define @t106 () (forall @t8 (or @t64 (not (tptp.greater_or_equal @t1 @t103)) @t2))) % 0.20/0.53 (define @t107 () (not @t106)) % 0.20/0.53 (define @t108 () (tptp.in_environment @t44 @t103)) % 0.20/0.53 (define @t109 () (not @t108)) % 0.20/0.53 (define @t110 () (or @t109 @t107)) % 0.20/0.53 (define @t111 () (@list @t110)) % 0.20/0.53 (define @t112 () (not @t66)) % 0.20/0.53 (define @t113 () (or @t50 @t112 @t109 @t107)) % 0.20/0.53 (define @t114 () (or @t71 @t72 @t69)) % 0.20/0.53 (define @t115 () (@list @t114)) % 0.20/0.53 (assume @p1 @t25) % 0.20/0.53 (assume @p2 @t31) % 0.20/0.53 (assume @p3 @t35) % 0.20/0.53 (assume @p4 @t38) % 0.20/0.53 (assume @p5 true) % 0.20/0.53 (step @p6 :rule evaluate :args ((= true false))) % 0.20/0.53 (step @p7 :rule aci_norm :args ((= (or @t42 @t36) @t41))) % 0.20/0.53 (step @p8 :rule refl :args (@t36)) % 0.20/0.53 (step @p9 :rule bool-and-de-morgan :args (@t21 @t32 true)) % 0.20/0.53 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((or @t43 @t36))) % 0.20/0.53 (step @p11 :rule trans :premises (@p10 @p7)) % 0.20/0.53 (step @p12 :rule bool-impl-elim :args (@t33 @t36)) % 0.20/0.53 (step @p13 :rule trans :premises (@p12 @p11)) % 0.20/0.53 (step @p14 :rule cong :premises (@p13) :args (@t37)) % 0.20/0.53 (step @p15 :rule cong :premises (@p14) :args (@t38)) % 0.20/0.53 (step @p16 :rule eq_resolve :premises (@p4 @p15)) % 0.20/0.53 (step @p17 :rule skolemize :premises (@p16)) % 0.20/0.53 (step @p18 :rule cnf_or_neg :args (@t51 2)) % 0.20/0.53 (step @p19 :rule chain_m_resolution :premises (@p18 @p17) :args ((not @t46) @t52 @t53)) % 0.20/0.53 (step @p20 :rule false_intro :premises (@p19)) % 0.20/0.53 (step @p21 :rule aci_norm :args ((= (or (or @t40 @t10 @t59 @t58) @t27) @t60))) % 0.20/0.53 (step @p22 :rule refl :args (@t27)) % 0.20/0.53 (step @p23 :rule refl :args (@t58)) % 0.20/0.53 (step @p24 :rule refl :args (@t59)) % 0.20/0.53 (step @p25 :rule bool-double-not-elim :args (@t10)) % 0.20/0.53 (step @p26 :rule refl :args (@t40)) % 0.20/0.53 (step @p27 :rule nary_cong :premises (@p26 @p25 @p24 @p23) :args (@t62)) % 0.20/0.53 (step @p28 :rule aci_norm :args ((= (or @t40 (or @t61 (or @t59 @t58))) @t62))) % 0.20/0.53 (step @p29 :rule trans :premises (@p28 @p27)) % 0.20/0.53 (step @p30 :rule bool-and-de-morgan :args (@t12 @t57 true)) % 0.20/0.53 (step @p31 :rule refl :args (@t61)) % 0.20/0.53 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t61 (not (and @t12 @t57))))) % 0.20/0.53 (step @p33 :rule bool-and-de-morgan :args (@t11 @t12 (and @t57))) % 0.20/0.53 (step @p34 :rule trans :premises (@p33 @p32)) % 0.20/0.53 (step @p35 :rule nary_cong :premises (@p26 @p34) :args ((or @t40 (not (and @t11 @t12 @t57))))) % 0.20/0.53 (step @p36 :rule bool-and-de-morgan :args (@t21 @t11 (and @t12 @t57))) % 0.20/0.53 (step @p37 :rule trans :premises (@p36 @p35)) % 0.20/0.53 (step @p38 :rule trans :premises (@p37 @p29)) % 0.20/0.53 (step @p39 :rule nary_cong :premises (@p38 @p22) :args ((or (not @t63) @t27))) % 0.20/0.53 (step @p40 :rule trans :premises (@p39 @p21)) % 0.20/0.53 (step @p41 :rule bool-impl-elim :args (@t63 @t27)) % 0.20/0.53 (step @p42 :rule trans :premises (@p41 @p40)) % 0.20/0.53 (step @p43 :rule cong :premises (@p42) :args ((forall @t30 (=> @t63 @t27)))) % 0.20/0.53 (step @p44 :rule refl :args (@t27)) % 0.20/0.53 (step @p45 :rule aci_norm :args ((= (or (or @t55 @t54) @t2) @t56))) % 0.20/0.53 (step @p46 :rule refl :args (@t2)) % 0.20/0.53 (step @p47 :rule bool-and-de-morgan :args (@t6 @t4 true)) % 0.20/0.53 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t7) @t2))) % 0.20/0.53 (step @p49 :rule trans :premises (@p48 @p45)) % 0.20/0.53 (step @p50 :rule bool-impl-elim :args (@t7 @t2)) % 0.20/0.53 (step @p51 :rule trans :premises (@p50 @p49)) % 0.20/0.53 (step @p52 :rule cong :premises (@p51) :args (@t9)) % 0.20/0.53 (step @p53 :rule refl :args (@t12)) % 0.20/0.53 (step @p54 :rule refl :args (@t11)) % 0.20/0.53 (step @p55 :rule refl :args (@t21)) % 0.20/0.53 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53 @p52) :args (@t28)) % 0.20/0.53 (step @p57 :rule cong :premises (@p56 @p44) :args (@t29)) % 0.20/0.53 (step @p58 :rule cong :premises (@p57) :args (@t31)) % 0.20/0.53 (step @p59 :rule trans :premises (@p58 @p43)) % 0.20/0.53 (step @p60 :rule eq_resolve :premises (@p2 @p59)) % 0.20/0.53 (step @p61 :rule eq-symm :args (@t67 @t45)) % 0.20/0.53 (step @p62 :rule refl :args (@t69)) % 0.20/0.53 (step @p63 :rule refl :args (@t71)) % 0.20/0.53 (step @p64 :rule refl :args (@t72)) % 0.20/0.53 (step @p65 :rule refl :args (@t50)) % 0.20/0.53 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63 @p62 @p61) :args (@t73)) % 0.20/0.53 (step @p67 :rule refl :args (@t74)) % 0.20/0.53 (step @p68 :rule cong :premises (@p67 @p66) :args ((=> @t74 @t73))) % 0.20/0.53 (assume-push @p207 @t74) % 0.20/0.53 (step @p70 :rule instantiate :premises (@p60) :args ((@list @t44 @t67))) % 0.20/0.53 (step-pop @p208 :rule scope :premises (@p70)) % 0.20/0.53 (step @p71 :rule process_scope :premises (@p208) :args (@t73)) % 0.20/0.53 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 0.20/0.53 (step @p74 :rule implies_elim :premises (@p73)) % 0.20/0.53 (step @p75 :rule chain_m_resolution :premises (@p74 @p60) :args (@t76 (@list false) (@list @t74))) % 0.20/0.53 (step @p76 :rule aci_norm :args ((= @t82 (or @t40 @t80 @t79 @t78)))) % 0.20/0.53 (step @p77 :rule cong :premises (@p76) :args (@t83)) % 0.20/0.53 (step @p78 :rule quant-merge-prenex :args ((= (forall @t24 @t85) @t83))) % 0.20/0.53 (step @p79 :rule refl :args (@t80)) % 0.20/0.53 (step @p80 :rule alpha_equiv :args (@t86 (@list @t77) (@list @t3))) % 0.20/0.53 (step @p81 :rule nary_cong :premises (@p26 @p80 @p79) :args (@t87)) % 0.20/0.53 (step @p82 :rule quant-miniscope-or :args ((= @t85 @t87))) % 0.20/0.53 (step @p83 :rule trans :premises (@p82 @p81)) % 0.20/0.53 (step @p84 :rule symm :premises (@p83)) % 0.20/0.53 (step @p85 :rule cong :premises (@p84) :args ((forall @t24 @t92))) % 0.20/0.53 (step @p86 :rule trans :premises (@p85 @p78)) % 0.20/0.53 (step @p87 :rule trans :premises (@p86 @p77)) % 0.20/0.53 (step @p88 :rule aci_norm :args ((= (or (or @t40 @t91) @t80) @t92))) % 0.20/0.53 (step @p89 :rule bool-double-not-elim :args (@t91)) % 0.20/0.53 (step @p90 :rule nary_cong :premises (@p26 @p89) :args ((or @t40 (not @t93)))) % 0.20/0.53 (step @p91 :rule bool-and-de-morgan :args (@t21 @t93 true)) % 0.20/0.53 (step @p92 :rule trans :premises (@p91 @p90)) % 0.20/0.53 (step @p93 :rule nary_cong :premises (@p92 @p79) :args ((or (not @t94) @t80))) % 0.20/0.53 (step @p94 :rule trans :premises (@p93 @p88)) % 0.20/0.53 (step @p95 :rule bool-impl-elim :args (@t94 @t80)) % 0.20/0.53 (step @p96 :rule trans :premises (@p95 @p94)) % 0.20/0.53 (step @p97 :rule cong :premises (@p96) :args ((forall @t24 (=> @t94 @t80)))) % 0.20/0.53 (step @p98 :rule trans :premises (@p97 @p87)) % 0.20/0.53 (step @p99 :rule nary_cong :premises (@p24 @p25 @p23) :args (@t95)) % 0.20/0.53 (step @p100 :rule aci_norm :args ((= (or @t59 (or @t61 @t58)) @t95))) % 0.20/0.53 (step @p101 :rule trans :premises (@p100 @p99)) % 0.20/0.53 (step @p102 :rule bool-and-de-morgan :args (@t11 @t57 true)) % 0.20/0.53 (step @p103 :rule nary_cong :premises (@p24 @p102) :args ((or @t59 (not (and @t11 @t57))))) % 0.20/0.53 (step @p104 :rule bool-and-de-morgan :args (@t12 @t11 (and @t57))) % 0.20/0.53 (step @p105 :rule trans :premises (@p104 @p103)) % 0.20/0.53 (step @p106 :rule trans :premises (@p105 @p101)) % 0.20/0.53 (step @p107 :rule cong :premises (@p106) :args (@t97)) % 0.20/0.53 (step @p108 :rule cong :premises (@p107) :args (@t98)) % 0.20/0.53 (step @p109 :rule exists-elim :args ((= (exists @t14 @t96) @t98))) % 0.20/0.53 (step @p110 :rule trans :premises (@p109 @p108)) % 0.20/0.53 (step @p111 :rule nary_cong :premises (@p53 @p54 @p52) :args (@t13)) % 0.20/0.53 (step @p112 :rule cong :premises (@p111) :args (@t15)) % 0.20/0.53 (step @p113 :rule trans :premises (@p112 @p110)) % 0.20/0.53 (step @p114 :rule bool-and-de-morgan :args (@t12 @t90 true)) % 0.20/0.53 (step @p115 :rule cong :premises (@p114) :args (@t100)) % 0.20/0.53 (step @p116 :rule cong :premises (@p115) :args (@t101)) % 0.20/0.53 (step @p117 :rule exists-elim :args ((= (exists @t14 @t99) @t101))) % 0.20/0.53 (step @p118 :rule trans :premises (@p117 @p116)) % 0.20/0.53 (step @p119 :rule aci_norm :args ((= (or (or @t55 @t88) @t2) @t89))) % 0.20/0.53 (step @p120 :rule bool-and-de-morgan :args (@t6 @t16 true)) % 0.20/0.53 (step @p121 :rule nary_cong :premises (@p120 @p46) :args ((or (not @t17) @t2))) % 0.20/0.53 (step @p122 :rule trans :premises (@p121 @p119)) % 0.20/0.53 (step @p123 :rule bool-impl-elim :args (@t17 @t2)) % 0.20/0.53 (step @p124 :rule trans :premises (@p123 @p122)) % 0.20/0.53 (step @p125 :rule cong :premises (@p124) :args (@t18)) % 0.20/0.53 (step @p126 :rule nary_cong :premises (@p53 @p125) :args (@t19)) % 0.20/0.53 (step @p127 :rule cong :premises (@p126) :args (@t20)) % 0.20/0.53 (step @p128 :rule trans :premises (@p127 @p118)) % 0.20/0.53 (step @p129 :rule nary_cong :premises (@p55 @p128) :args (@t22)) % 0.20/0.53 (step @p130 :rule cong :premises (@p129 @p113) :args (@t23)) % 0.20/0.53 (step @p131 :rule cong :premises (@p130) :args (@t25)) % 0.20/0.53 (step @p132 :rule trans :premises (@p131 @p98)) % 0.20/0.53 (step @p133 :rule eq_resolve :premises (@p1 @p132)) % 0.20/0.53 (step @p134 :rule instantiate :premises (@p133) :args ((@list @t44 @t103))) % 0.20/0.53 (step @p135 :rule aci_norm :args ((= (or @t42 @t93) (or @t40 @t39 @t93)))) % 0.20/0.53 (step @p136 :rule refl :args (@t93)) % 0.20/0.53 (step @p137 :rule nary_cong :premises (@p9 @p136) :args ((or @t43 @t93))) % 0.20/0.53 (step @p138 :rule trans :premises (@p137 @p135)) % 0.20/0.53 (step @p139 :rule bool-impl-elim :args (@t33 @t93)) % 0.20/0.53 (step @p140 :rule trans :premises (@p139 @p138)) % 0.20/0.53 (step @p141 :rule cong :premises (@p140) :args ((forall @t24 (=> @t33 @t93)))) % 0.20/0.53 (step @p142 :rule refl :args (@t33)) % 0.20/0.53 (step @p143 :rule cong :premises (@p142 @p128) :args (@t34)) % 0.20/0.53 (step @p144 :rule cong :premises (@p143) :args (@t35)) % 0.20/0.53 (step @p145 :rule trans :premises (@p144 @p141)) % 0.20/0.53 (step @p146 :rule eq_resolve :premises (@p3 @p145)) % 0.20/0.53 (step @p147 :rule instantiate :premises (@p146) :args ((@list @t44))) % 0.20/0.53 (step @p148 :rule bool-double-not-elim :args (@t47)) % 0.20/0.53 (step @p149 :rule refl :args (@t51)) % 0.20/0.53 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t51 (not @t48)))) % 0.20/0.53 (step @p151 :rule cnf_or_neg :args (@t51 1)) % 0.20/0.53 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 0.20/0.53 (step @p153 :rule reordering :premises (@p152) :args ((or @t47 @t51))) % 0.20/0.53 (step @p154 :rule chain_m_resolution :premises (@p153 @p17) :args (@t47 @t52 @t53)) % 0.20/0.53 (step @p155 :rule bool-double-not-elim :args (@t49)) % 0.20/0.53 (step @p156 :rule nary_cong :premises (@p149 @p155) :args ((or @t51 (not @t50)))) % 0.20/0.53 (step @p157 :rule cnf_or_neg :args (@t51 0)) % 0.20/0.53 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 0.20/0.53 (step @p159 :rule reordering :premises (@p158) :args ((or @t49 @t51))) % 0.20/0.53 (step @p160 :rule chain_m_resolution :premises (@p159 @p17) :args (@t49 @t52 @t53)) % 0.20/0.53 (step @p161 :rule cnf_or_pos :args (@t105)) % 0.20/0.53 (step @p162 :rule reordering :premises (@p161) :args ((or @t50 @t48 @t104 (not @t105)))) % 0.20/0.53 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p154 @p147) :args (@t104 (@list false false false) (@list @t49 @t47 @t105))) % 0.20/0.53 (step @p164 :rule skolemize :premises (@p163)) % 0.20/0.53 (step @p165 :rule bool-double-not-elim :args (@t106)) % 0.20/0.53 (step @p166 :rule refl :args (@t110)) % 0.20/0.53 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t110 (not @t107)))) % 0.20/0.53 (step @p168 :rule cnf_or_neg :args (@t110 1)) % 0.20/0.53 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 0.20/0.53 (step @p170 :rule reordering :premises (@p169) :args ((or @t106 @t110))) % 0.20/0.53 (step @p171 :rule chain_m_resolution :premises (@p170 @p164) :args (@t106 @t52 @t111)) % 0.20/0.53 (step @p172 :rule bool-double-not-elim :args (@t108)) % 0.20/0.53 (step @p173 :rule nary_cong :premises (@p166 @p172) :args ((or @t110 (not @t109)))) % 0.20/0.53 (step @p174 :rule cnf_or_neg :args (@t110 0)) % 0.20/0.53 (step @p175 :rule eq_resolve :premises (@p174 @p173)) % 0.20/0.53 (step @p176 :rule reordering :premises (@p175) :args ((or @t108 @t110))) % 0.20/0.53 (step @p177 :rule chain_m_resolution :premises (@p176 @p164) :args (@t108 @t52 @t111)) % 0.20/0.53 (step @p178 :rule cnf_or_pos :args (@t113)) % 0.20/0.53 (step @p179 :rule reordering :premises (@p178) :args ((or @t50 @t109 @t107 @t112 (not @t113)))) % 0.20/0.53 (step @p180 :rule chain_m_resolution :premises (@p179 @p160 @p177 @p171 @p134) :args (@t112 (@list false false false false) (@list @t49 @t108 @t106 @t113))) % 0.20/0.53 (step @p181 :rule skolemize :premises (@p180)) % 0.20/0.53 (step @p182 :rule bool-double-not-elim :args (@t68)) % 0.20/0.53 (step @p183 :rule refl :args (@t114)) % 0.20/0.53 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t114 (not @t69)))) % 0.20/0.53 (step @p185 :rule cnf_or_neg :args (@t114 2)) % 0.20/0.53 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.20/0.53 (step @p187 :rule reordering :premises (@p186) :args ((or @t68 @t114))) % 0.20/0.53 (step @p188 :rule chain_m_resolution :premises (@p187 @p181) :args (@t68 @t52 @t115)) % 0.20/0.54 (step @p189 :rule cnf_or_neg :args (@t114 1)) % 0.20/0.54 (step @p190 :rule chain_m_resolution :premises (@p189 @p181) :args ((not @t72) @t52 @t115)) % 0.20/0.54 (step @p191 :rule bool-double-not-elim :args (@t70)) % 0.20/0.54 (step @p192 :rule nary_cong :premises (@p183 @p191) :args ((or @t114 (not @t71)))) % 0.20/0.54 (step @p193 :rule cnf_or_neg :args (@t114 0)) % 0.20/0.54 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.20/0.54 (step @p195 :rule reordering :premises (@p194) :args ((or @t70 @t114))) % 0.20/0.54 (step @p196 :rule chain_m_resolution :premises (@p195 @p181) :args (@t70 @t52 @t115)) % 0.20/0.54 (step @p197 :rule cnf_or_pos :args (@t76)) % 0.20/0.54 (step @p198 :rule reordering :premises (@p197) :args ((or @t50 @t71 @t72 @t69 @t75 (not @t76)))) % 0.20/0.54 (step @p199 :rule chain_m_resolution :premises (@p198 @p160 @p196 @p190 @p188 @p75) :args (@t75 (@list false false true false false) (@list @t49 @t70 @t72 @t68 @t76))) % 0.20/0.54 (step @p200 :rule symm :premises (@p199)) % 0.20/0.54 (step @p201 :rule refl :args (@t44)) % 0.20/0.54 (step @p202 :rule cong :premises (@p201 @p200) :args (@t70)) % 0.20/0.54 (step @p203 :rule true_intro :premises (@p196)) % 0.20/0.54 (step @p204 :rule symm :premises (@p203)) % 0.20/0.54 (step @p205 :rule trans :premises (@p204 @p202 @p20)) % 0.20/0.54 (step @p206 false :rule eq_resolve :premises (@p205 @p6)) % 0.20/0.54 ) % 0.20/0.54 % SZS output end Proof % 0.20/0.54 % cvc5 exiting %------------------------------------------------------------------------------