%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT024+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 : n001.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 0.18s 0.50s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT024+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 % 0.09/0.35 % Computer : n001.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Mon Sep 7 12:14:22 UTC 2026 % 0.09/0.35 % CPUTime : % 0.13/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.18/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.18/0.50 % SZS status Theorem % 0.18/0.50 % SZS output start Proof % 0.18/0.50 ( % 0.18/0.50 (declare-sort $$unsorted 0) % 0.18/0.50 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.efficient_producers $$unsorted) % 0.18/0.50 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.decreases (-> $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.zero $$unsorted) % 0.18/0.50 (declare-const tptp.number_of_organizations (-> $$unsorted $$unsorted $$unsorted)) % 0.18/0.50 (declare-const tptp.equilibrium (-> $$unsorted $$unsorted)) % 0.18/0.50 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.18/0.50 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.resources (-> $$unsorted $$unsorted $$unsorted)) % 0.18/0.50 (declare-const tptp.first_movers $$unsorted) % 0.18/0.50 (declare-const tptp.constant (-> $$unsorted Bool)) % 0.18/0.50 (define @t1 () (@var "T" $$unsorted)) % 0.18/0.50 (define @t2 () (@var "E" $$unsorted)) % 0.18/0.50 (define @t3 () (tptp.in_environment @t2 @t1)) % 0.18/0.50 (define @t4 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t2 @t1)) % 0.18/0.50 (define @t5 () (tptp.environment @t2)) % 0.18/0.50 (define @t6 () (and @t5 @t4)) % 0.18/0.50 (define @t7 () (@list @t2 @t1)) % 0.18/0.50 (define @t8 () (forall @t7 (=> @t6 @t3))) % 0.18/0.50 (define @t9 () (tptp.number_of_organizations @t2 @t1)) % 0.18/0.50 (define @t10 () (tptp.greater @t9 tptp.zero)) % 0.18/0.50 (define @t11 () (forall @t7 (=> @t6 @t10))) % 0.18/0.50 (define @t12 () (tptp.equilibrium @t2)) % 0.18/0.50 (define @t13 () (tptp.greater @t12 @t1)) % 0.18/0.50 (define @t14 () (not @t13)) % 0.18/0.50 (define @t15 () (tptp.greater_or_equal @t1 @t12)) % 0.18/0.50 (define @t16 () (and @t5 @t15)) % 0.18/0.50 (define @t17 () (forall @t7 (=> @t16 @t14))) % 0.18/0.50 (define @t18 () (tptp.resources @t2 @t1)) % 0.18/0.50 (define @t19 () (tptp.constant @t18)) % 0.18/0.50 (define @t20 () (tptp.decreases @t18)) % 0.18/0.50 (define @t21 () (and (=> @t13 @t20) (=> @t14 @t19))) % 0.18/0.50 (define @t22 () (and @t5 @t3 @t10)) % 0.18/0.50 (define @t23 () (forall @t7 (=> @t22 @t21))) % 0.18/0.50 (define @t24 () (tptp.constant @t9)) % 0.18/0.50 (define @t25 () (not (tptp.decreases @t9))) % 0.18/0.50 (define @t26 () (and (=> @t20 @t25) (=> @t19 @t24))) % 0.18/0.50 (define @t27 () (and @t5 @t3)) % 0.18/0.50 (define @t28 () (forall @t7 (=> @t27 @t26))) % 0.18/0.50 (define @t29 () (tptp.growth_rate tptp.first_movers @t1)) % 0.18/0.50 (define @t30 () (tptp.growth_rate tptp.efficient_producers @t1)) % 0.18/0.50 (define @t31 () (and (tptp.greater @t30 tptp.zero) (tptp.greater tptp.zero @t29))) % 0.18/0.50 (define @t32 () (and (tptp.greater @t29 tptp.zero) (tptp.greater tptp.zero @t30))) % 0.18/0.50 (define @t33 () (and (= @t29 tptp.zero) (= @t30 tptp.zero))) % 0.18/0.50 (define @t34 () (or @t33 @t32 @t31)) % 0.18/0.50 (define @t35 () (and @t5 @t4 @t24)) % 0.18/0.50 (define @t36 () (=> @t35 @t34)) % 0.18/0.50 (define @t37 () (forall @t7 @t36)) % 0.18/0.50 (define @t38 () (and @t5 @t4 @t15)) % 0.18/0.50 (define @t39 () (=> @t38 @t34)) % 0.18/0.50 (define @t40 () (forall @t7 @t39)) % 0.18/0.50 (define @t41 () (not @t40)) % 0.18/0.50 (define @t42 () (and (= tptp.zero @t29) (= tptp.zero @t30))) % 0.18/0.50 (define @t43 () (not @t24)) % 0.18/0.50 (define @t44 () (not @t4)) % 0.18/0.50 (define @t45 () (not @t5)) % 0.18/0.50 (define @t46 () (or @t42 @t32 @t31)) % 0.18/0.50 (define @t47 () (or @t45 @t44 @t43)) % 0.18/0.50 (define @t48 () (not @t15)) % 0.18/0.50 (define @t49 () (or @t45 @t44 @t48 @t42 @t32 @t31)) % 0.18/0.50 (define @t50 () (forall @t7 @t49)) % 0.18/0.50 (define @t51 () (@quantifiers_skolemize @t50 1)) % 0.18/0.50 (define @t52 () (@quantifiers_skolemize @t50 0)) % 0.18/0.50 (define @t53 () (@list @t52 @t51)) % 0.18/0.50 (define @t54 () (or @t45 @t44 @t48)) % 0.18/0.50 (define @t55 () (tptp.growth_rate tptp.first_movers @t51)) % 0.18/0.50 (define @t56 () (tptp.growth_rate tptp.efficient_producers @t51)) % 0.18/0.50 (define @t57 () (and (tptp.greater @t56 tptp.zero) (tptp.greater tptp.zero @t55))) % 0.18/0.50 (define @t58 () (and (tptp.greater @t55 tptp.zero) (tptp.greater tptp.zero @t56))) % 0.18/0.50 (define @t59 () (and (= tptp.zero @t55) (= tptp.zero @t56))) % 0.18/0.50 (define @t60 () (tptp.equilibrium @t52)) % 0.18/0.50 (define @t61 () (tptp.greater_or_equal @t51 @t60)) % 0.18/0.50 (define @t62 () (not @t61)) % 0.18/0.50 (define @t63 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t52 @t51)) % 0.18/0.50 (define @t64 () (not @t63)) % 0.18/0.50 (define @t65 () (tptp.environment @t52)) % 0.18/0.50 (define @t66 () (not @t65)) % 0.18/0.50 (define @t67 () (or @t66 @t64 @t62 @t59 @t58 @t57)) % 0.18/0.50 (define @t68 () (@list true)) % 0.18/0.50 (define @t69 () (@list @t67)) % 0.18/0.50 (define @t70 () (tptp.number_of_organizations @t52 @t51)) % 0.18/0.50 (define @t71 () (tptp.constant @t70)) % 0.18/0.50 (define @t72 () (not @t71)) % 0.18/0.50 (define @t73 () (or @t66 @t64 @t72 @t59 @t58 @t57)) % 0.18/0.50 (define @t74 () (and (or (not @t20) @t25) (or (not @t19) @t24))) % 0.18/0.50 (define @t75 () (not @t3)) % 0.18/0.50 (define @t76 () (or @t45 @t44)) % 0.18/0.50 (define @t77 () (not @t6)) % 0.18/0.50 (define @t78 () (tptp.in_environment @t52 @t51)) % 0.18/0.50 (define @t79 () (or @t66 @t64 @t78)) % 0.18/0.50 (define @t80 () (@list false false false)) % 0.18/0.50 (define @t81 () (tptp.resources @t52 @t51)) % 0.18/0.50 (define @t82 () (tptp.constant @t81)) % 0.18/0.50 (define @t83 () (not @t82)) % 0.18/0.50 (define @t84 () (or @t83 @t71)) % 0.18/0.50 (define @t85 () (tptp.decreases @t81)) % 0.18/0.50 (define @t86 () (and (or (not @t85) (not (tptp.decreases @t70))) @t84)) % 0.18/0.50 (define @t87 () (not @t78)) % 0.18/0.50 (define @t88 () (or @t66 @t87 @t86)) % 0.18/0.50 (define @t89 () (@list false)) % 0.18/0.50 (define @t90 () (and (or @t14 @t20) (or @t13 @t19))) % 0.18/0.50 (define @t91 () (not @t10)) % 0.18/0.50 (define @t92 () (or @t45 @t75 @t91)) % 0.18/0.50 (define @t93 () (tptp.greater @t70 tptp.zero)) % 0.18/0.50 (define @t94 () (or @t66 @t64 @t93)) % 0.18/0.50 (define @t95 () (tptp.greater @t60 @t51)) % 0.18/0.50 (define @t96 () (or @t95 @t82)) % 0.18/0.50 (define @t97 () (not @t95)) % 0.18/0.50 (define @t98 () (and (or @t97 @t85) @t96)) % 0.18/0.50 (define @t99 () (not @t93)) % 0.18/0.50 (define @t100 () (or @t66 @t87 @t99 @t98)) % 0.18/0.50 (define @t101 () (or @t66 @t62 @t97)) % 0.18/0.50 (assume @p1 @t8) % 0.18/0.50 (assume @p2 @t11) % 0.18/0.50 (assume @p3 @t17) % 0.18/0.50 (assume @p4 @t23) % 0.18/0.50 (assume @p5 @t28) % 0.18/0.50 (assume @p6 @t37) % 0.18/0.50 (assume @p7 @t41) % 0.18/0.50 (assume @p8 true) % 0.18/0.50 (step @p9 :rule aci_norm :args ((= (or @t47 @t46) (or @t45 @t44 @t43 @t42 @t32 @t31)))) % 0.18/0.50 (step @p10 :rule refl :args (@t46)) % 0.18/0.50 (step @p11 :rule aci_norm :args ((= (or @t45 (or @t44 @t43)) @t47))) % 0.18/0.50 (step @p12 :rule bool-and-de-morgan :args (@t4 @t24 true)) % 0.18/0.50 (step @p13 :rule refl :args (@t45)) % 0.18/0.50 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or @t45 (not (and @t4 @t24))))) % 0.18/0.50 (step @p15 :rule bool-and-de-morgan :args (@t5 @t4 (and @t24))) % 0.18/0.50 (step @p16 :rule trans :premises (@p15 @p14)) % 0.18/0.50 (step @p17 :rule trans :premises (@p16 @p11)) % 0.18/0.50 (step @p18 :rule nary_cong :premises (@p17 @p10) :args ((or (not @t35) @t46))) % 0.18/0.50 (step @p19 :rule trans :premises (@p18 @p9)) % 0.18/0.50 (step @p20 :rule bool-impl-elim :args (@t35 @t46)) % 0.18/0.50 (step @p21 :rule trans :premises (@p20 @p19)) % 0.18/0.50 (step @p22 :rule cong :premises (@p21) :args ((forall @t7 (=> @t35 @t46)))) % 0.18/0.50 (step @p23 :rule refl :args (@t31)) % 0.18/0.50 (step @p24 :rule refl :args (@t32)) % 0.18/0.50 (step @p25 :rule eq-symm :args (@t30 tptp.zero)) % 0.18/0.50 (step @p26 :rule eq-symm :args (@t29 tptp.zero)) % 0.18/0.50 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t33)) % 0.18/0.50 (step @p28 :rule nary_cong :premises (@p27 @p24 @p23) :args (@t34)) % 0.18/0.50 (step @p29 :rule refl :args (@t35)) % 0.18/0.50 (step @p30 :rule cong :premises (@p29 @p28) :args (@t36)) % 0.18/0.50 (step @p31 :rule cong :premises (@p30) :args (@t37)) % 0.18/0.50 (step @p32 :rule trans :premises (@p31 @p22)) % 0.18/0.50 (step @p33 :rule eq_resolve :premises (@p6 @p32)) % 0.18/0.50 (step @p34 :rule instantiate :premises (@p33) :args (@t53)) % 0.18/0.50 (step @p35 :rule aci_norm :args ((= (or @t54 @t46) @t49))) % 0.18/0.50 (step @p36 :rule aci_norm :args ((= (or @t45 (or @t44 @t48)) @t54))) % 0.18/0.50 (step @p37 :rule bool-and-de-morgan :args (@t4 @t15 true)) % 0.18/0.50 (step @p38 :rule nary_cong :premises (@p13 @p37) :args ((or @t45 (not (and @t4 @t15))))) % 0.18/0.50 (step @p39 :rule bool-and-de-morgan :args (@t5 @t4 (and @t15))) % 0.18/0.50 (step @p40 :rule trans :premises (@p39 @p38)) % 0.18/0.50 (step @p41 :rule trans :premises (@p40 @p36)) % 0.18/0.50 (step @p42 :rule nary_cong :premises (@p41 @p10) :args ((or (not @t38) @t46))) % 0.18/0.50 (step @p43 :rule trans :premises (@p42 @p35)) % 0.18/0.50 (step @p44 :rule bool-impl-elim :args (@t38 @t46)) % 0.18/0.50 (step @p45 :rule trans :premises (@p44 @p43)) % 0.18/0.50 (step @p46 :rule cong :premises (@p45) :args ((forall @t7 (=> @t38 @t46)))) % 0.18/0.50 (step @p47 :rule refl :args (@t38)) % 0.18/0.50 (step @p48 :rule cong :premises (@p47 @p28) :args (@t39)) % 0.18/0.50 (step @p49 :rule cong :premises (@p48) :args (@t40)) % 0.18/0.50 (step @p50 :rule trans :premises (@p49 @p46)) % 0.18/0.50 (step @p51 :rule cong :premises (@p50) :args (@t41)) % 0.18/0.50 (step @p52 :rule eq_resolve :premises (@p7 @p51)) % 0.18/0.50 (step @p53 :rule skolemize :premises (@p52)) % 0.18/0.50 (step @p54 :rule cnf_or_neg :args (@t67 5)) % 0.18/0.50 (step @p55 :rule chain_m_resolution :premises (@p54 @p53) :args ((not @t57) @t68 @t69)) % 0.18/0.50 (step @p56 :rule cnf_or_neg :args (@t67 4)) % 0.18/0.50 (step @p57 :rule chain_m_resolution :premises (@p56 @p53) :args ((not @t58) @t68 @t69)) % 0.18/0.50 (step @p58 :rule cnf_or_neg :args (@t67 3)) % 0.18/0.50 (step @p59 :rule chain_m_resolution :premises (@p58 @p53) :args ((not @t59) @t68 @t69)) % 0.18/0.50 (step @p60 :rule bool-double-not-elim :args (@t63)) % 0.18/0.50 (step @p61 :rule refl :args (@t67)) % 0.18/0.50 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t67 (not @t64)))) % 0.18/0.50 (step @p63 :rule cnf_or_neg :args (@t67 1)) % 0.18/0.50 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.18/0.50 (step @p65 :rule reordering :premises (@p64) :args ((or @t63 @t67))) % 0.18/0.50 (step @p66 :rule chain_m_resolution :premises (@p65 @p53) :args (@t63 @t68 @t69)) % 0.18/0.50 (step @p67 :rule bool-double-not-elim :args (@t65)) % 0.18/0.50 (step @p68 :rule nary_cong :premises (@p61 @p67) :args ((or @t67 (not @t66)))) % 0.18/0.50 (step @p69 :rule cnf_or_neg :args (@t67 0)) % 0.18/0.50 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.18/0.50 (step @p71 :rule reordering :premises (@p70) :args ((or @t65 @t67))) % 0.18/0.50 (step @p72 :rule chain_m_resolution :premises (@p71 @p53) :args (@t65 @t68 @t69)) % 0.18/0.50 (step @p73 :rule cnf_or_pos :args (@t73)) % 0.18/0.50 (step @p74 :rule reordering :premises (@p73) :args ((or @t66 @t64 @t59 @t58 @t57 @t72 (not @t73)))) % 0.18/0.50 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p66 @p59 @p57 @p55 @p34) :args (@t72 (@list false false true true true false) (@list @t65 @t63 @t59 @t58 @t57 @t73))) % 0.18/0.50 (step @p76 :rule aci_norm :args ((= (or (or @t45 @t75) @t74) (or @t45 @t75 @t74)))) % 0.18/0.50 (step @p77 :rule bool-impl-elim :args (@t19 @t24)) % 0.18/0.50 (step @p78 :rule bool-impl-elim :args (@t20 @t25)) % 0.18/0.50 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t26)) % 0.18/0.50 (step @p80 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.18/0.50 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or (not @t27) @t26))) % 0.18/0.50 (step @p82 :rule trans :premises (@p81 @p76)) % 0.18/0.50 (step @p83 :rule bool-impl-elim :args (@t27 @t26)) % 0.18/0.50 (step @p84 :rule trans :premises (@p83 @p82)) % 0.18/0.50 (step @p85 :rule cong :premises (@p84) :args (@t28)) % 0.18/0.50 (step @p86 :rule eq_resolve :premises (@p5 @p85)) % 0.18/0.50 (step @p87 :rule instantiate :premises (@p86) :args (@t53)) % 0.18/0.50 (step @p88 :rule aci_norm :args ((= (or @t76 @t3) (or @t45 @t44 @t3)))) % 0.18/0.50 (step @p89 :rule refl :args (@t3)) % 0.18/0.50 (step @p90 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.18/0.50 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t77 @t3))) % 0.18/0.50 (step @p92 :rule trans :premises (@p91 @p88)) % 0.18/0.50 (step @p93 :rule bool-impl-elim :args (@t6 @t3)) % 0.18/0.50 (step @p94 :rule trans :premises (@p93 @p92)) % 0.18/0.50 (step @p95 :rule cong :premises (@p94) :args (@t8)) % 0.18/0.50 (step @p96 :rule eq_resolve :premises (@p1 @p95)) % 0.18/0.50 (step @p97 :rule instantiate :premises (@p96) :args (@t53)) % 0.18/0.50 (step @p98 :rule cnf_or_pos :args (@t79)) % 0.18/0.50 (step @p99 :rule reordering :premises (@p98) :args ((or @t66 @t64 @t78 (not @t79)))) % 0.18/0.50 (step @p100 :rule chain_m_resolution :premises (@p99 @p72 @p66 @p97) :args (@t78 @t80 (@list @t65 @t63 @t79))) % 0.18/0.50 (step @p101 :rule cnf_or_pos :args (@t88)) % 0.18/0.50 (step @p102 :rule reordering :premises (@p101) :args ((or @t66 @t87 @t86 (not @t88)))) % 0.18/0.50 (step @p103 :rule chain_m_resolution :premises (@p102 @p72 @p100 @p87) :args (@t86 @t80 (@list @t65 @t78 @t88))) % 0.18/0.50 (step @p104 :rule cnf_and_pos :args (@t86 1)) % 0.18/0.50 (step @p105 :rule reordering :premises (@p104) :args ((or @t84 (not @t86)))) % 0.18/0.50 (step @p106 :rule chain_m_resolution :premises (@p105 @p103) :args (@t84 @t89 (@list @t86))) % 0.18/0.50 (step @p107 :rule aci_norm :args ((= (or @t92 @t90) (or @t45 @t75 @t91 @t90)))) % 0.18/0.50 (step @p108 :rule refl :args (@t19)) % 0.18/0.50 (step @p109 :rule bool-double-not-elim :args (@t13)) % 0.18/0.50 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or (not @t14) @t19))) % 0.18/0.50 (step @p111 :rule bool-impl-elim :args (@t14 @t19)) % 0.18/0.50 (step @p112 :rule trans :premises (@p111 @p110)) % 0.18/0.50 (step @p113 :rule bool-impl-elim :args (@t13 @t20)) % 0.18/0.50 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t21)) % 0.18/0.50 (step @p115 :rule aci_norm :args ((= (or @t45 (or @t75 @t91)) @t92))) % 0.18/0.50 (step @p116 :rule bool-and-de-morgan :args (@t3 @t10 true)) % 0.18/0.50 (step @p117 :rule nary_cong :premises (@p13 @p116) :args ((or @t45 (not (and @t3 @t10))))) % 0.18/0.50 (step @p118 :rule bool-and-de-morgan :args (@t5 @t3 (and @t10))) % 0.18/0.50 (step @p119 :rule trans :premises (@p118 @p117)) % 0.18/0.51 (step @p120 :rule trans :premises (@p119 @p115)) % 0.18/0.51 (step @p121 :rule nary_cong :premises (@p120 @p114) :args ((or (not @t22) @t21))) % 0.18/0.51 (step @p122 :rule trans :premises (@p121 @p107)) % 0.18/0.51 (step @p123 :rule bool-impl-elim :args (@t22 @t21)) % 0.18/0.51 (step @p124 :rule trans :premises (@p123 @p122)) % 0.18/0.51 (step @p125 :rule cong :premises (@p124) :args (@t23)) % 0.18/0.51 (step @p126 :rule eq_resolve :premises (@p4 @p125)) % 0.18/0.51 (step @p127 :rule instantiate :premises (@p126) :args (@t53)) % 0.18/0.51 (step @p128 :rule aci_norm :args ((= (or @t76 @t10) (or @t45 @t44 @t10)))) % 0.18/0.51 (step @p129 :rule refl :args (@t10)) % 0.18/0.51 (step @p130 :rule nary_cong :premises (@p90 @p129) :args ((or @t77 @t10))) % 0.18/0.51 (step @p131 :rule trans :premises (@p130 @p128)) % 0.18/0.51 (step @p132 :rule bool-impl-elim :args (@t6 @t10)) % 0.18/0.51 (step @p133 :rule trans :premises (@p132 @p131)) % 0.18/0.51 (step @p134 :rule cong :premises (@p133) :args (@t11)) % 0.18/0.51 (step @p135 :rule eq_resolve :premises (@p2 @p134)) % 0.18/0.51 (step @p136 :rule instantiate :premises (@p135) :args (@t53)) % 0.18/0.51 (step @p137 :rule cnf_or_pos :args (@t94)) % 0.18/0.51 (step @p138 :rule reordering :premises (@p137) :args ((or @t66 @t64 @t93 (not @t94)))) % 0.18/0.51 (step @p139 :rule chain_m_resolution :premises (@p138 @p72 @p66 @p136) :args (@t93 @t80 (@list @t65 @t63 @t94))) % 0.18/0.51 (step @p140 :rule cnf_or_pos :args (@t100)) % 0.18/0.51 (step @p141 :rule reordering :premises (@p140) :args ((or @t66 @t87 @t99 @t98 (not @t100)))) % 0.18/0.51 (step @p142 :rule chain_m_resolution :premises (@p141 @p72 @p100 @p139 @p127) :args (@t98 (@list false false false false) (@list @t65 @t78 @t93 @t100))) % 0.18/0.51 (step @p143 :rule cnf_and_pos :args (@t98 1)) % 0.18/0.51 (step @p144 :rule reordering :premises (@p143) :args ((or @t96 (not @t98)))) % 0.18/0.51 (step @p145 :rule chain_m_resolution :premises (@p144 @p142) :args (@t96 @t89 (@list @t98))) % 0.18/0.51 (step @p146 :rule aci_norm :args ((= (or (or @t45 @t48) @t14) (or @t45 @t48 @t14)))) % 0.18/0.51 (step @p147 :rule refl :args (@t14)) % 0.18/0.51 (step @p148 :rule bool-and-de-morgan :args (@t5 @t15 true)) % 0.18/0.51 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or (not @t16) @t14))) % 0.18/0.51 (step @p150 :rule trans :premises (@p149 @p146)) % 0.18/0.51 (step @p151 :rule bool-impl-elim :args (@t16 @t14)) % 0.18/0.51 (step @p152 :rule trans :premises (@p151 @p150)) % 0.18/0.51 (step @p153 :rule cong :premises (@p152) :args (@t17)) % 0.18/0.51 (step @p154 :rule eq_resolve :premises (@p3 @p153)) % 0.18/0.51 (step @p155 :rule instantiate :premises (@p154) :args (@t53)) % 0.18/0.51 (step @p156 :rule bool-double-not-elim :args (@t61)) % 0.18/0.51 (step @p157 :rule nary_cong :premises (@p61 @p156) :args ((or @t67 (not @t62)))) % 0.18/0.51 (step @p158 :rule cnf_or_neg :args (@t67 2)) % 0.18/0.51 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 0.18/0.51 (step @p160 :rule reordering :premises (@p159) :args ((or @t61 @t67))) % 0.18/0.51 (step @p161 :rule chain_m_resolution :premises (@p160 @p53) :args (@t61 @t68 @t69)) % 0.18/0.51 (step @p162 :rule cnf_or_pos :args (@t101)) % 0.18/0.51 (step @p163 :rule reordering :premises (@p162) :args ((or @t66 @t62 @t97 (not @t101)))) % 0.18/0.51 (step @p164 :rule chain_m_resolution :premises (@p163 @p72 @p161 @p155) :args (@t97 @t80 (@list @t65 @t61 @t101))) % 0.18/0.51 (step @p165 :rule cnf_or_pos :args (@t96)) % 0.18/0.51 (step @p166 :rule reordering :premises (@p165) :args ((or @t95 @t82 (not @t96)))) % 0.18/0.51 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p145) :args (@t82 (@list true false) (@list @t95 @t96))) % 0.18/0.51 (step @p168 :rule cnf_or_pos :args (@t84)) % 0.18/0.51 (step @p169 :rule reordering :premises (@p168) :args ((or @t71 @t83 (not @t84)))) % 0.18/0.51 (step @p170 false :rule chain_m_resolution :premises (@p169 @p167 @p106 @p75) :args (false (@list false false true) (@list @t82 @t84 @t71))) % 0.18/0.51 ) % 0.18/0.51 % SZS output end Proof % 0.18/0.51 % cvc5 exiting %------------------------------------------------------------------------------