%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU898^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:53:30 AM UTC 2026 % Result : Theorem 0.34s 0.58s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU898^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n015.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 17:58:04 EDT 2026 % 0.19/0.35 % CPUTime : % 0.34/0.50 %----Proving TH0 % 0.34/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.34/0.58 % SZS status Theorem % 0.34/0.58 % SZS output start Proof % 0.34/0.58 ( % 0.34/0.58 (declare-sort tptp.a 0) % 0.34/0.58 (define @t1 () (@var "Xx" tptp.a)) % 0.34/0.58 (define @t2 () (@var "Xh" (-> tptp.a tptp.a))) % 0.34/0.58 (define @t3 () (_ @t2 @t1)) % 0.34/0.58 (define @t4 () (_ @t2 @t3)) % 0.34/0.58 (define @t5 () (@var "Xf" (-> tptp.a tptp.a))) % 0.34/0.58 (define @t6 () (_ @t5 @t4)) % 0.34/0.58 (define @t7 () (_ @t5 @t1)) % 0.34/0.58 (define @t8 () (_ @t2 @t7)) % 0.34/0.58 (define @t9 () (_ @t2 @t8)) % 0.34/0.58 (define @t10 () (= @t9 @t6)) % 0.34/0.58 (define @t11 () (@var "Xs" (-> tptp.a Bool))) % 0.34/0.58 (define @t12 () (_ @t11 @t1)) % 0.34/0.58 (define @t13 () (@list @t1)) % 0.34/0.58 (define @t14 () (forall @t13 (=> @t12 @t10))) % 0.34/0.58 (define @t15 () (_ @t5 @t3)) % 0.34/0.58 (define @t16 () (= @t8 @t15)) % 0.34/0.58 (define @t17 () (forall @t13 (=> @t12 @t16))) % 0.34/0.58 (define @t18 () (_ @t11 @t3)) % 0.34/0.58 (define @t19 () (forall @t13 (=> @t12 @t18))) % 0.34/0.58 (define @t20 () (_ @t11 @t7)) % 0.34/0.58 (define @t21 () (forall @t13 (=> @t12 @t20))) % 0.34/0.58 (define @t22 () (and @t21 @t21 @t19 @t17)) % 0.34/0.58 (define @t23 () (=> @t22 @t14)) % 0.34/0.58 (define @t24 () (@list @t2 @t11 @t5)) % 0.34/0.58 (define @t25 () (forall @t24 @t23)) % 0.34/0.58 (define @t26 () (not @t25)) % 0.34/0.58 (define @t27 () (@var "BOUND_VARIABLE_7486" tptp.a)) % 0.34/0.58 (define @t28 () (= (_ @t2 (_ @t2 (_ @t5 @t27))) (_ @t5 (_ @t2 (_ @t2 @t27))))) % 0.34/0.58 (define @t29 () (not (_ @t11 @t27))) % 0.34/0.58 (define @t30 () (_ @t2 @t1)) % 0.34/0.58 (define @t31 () (_ @t5 @t30)) % 0.34/0.58 (define @t32 () (_ @t5 @t1)) % 0.34/0.58 (define @t33 () (_ @t2 @t32)) % 0.34/0.58 (define @t34 () (_ @t11 @t1)) % 0.34/0.58 (define @t35 () (not @t34)) % 0.34/0.58 (define @t36 () (forall @t13 (or @t35 (= @t33 @t31)))) % 0.34/0.58 (define @t37 () (not @t36)) % 0.34/0.58 (define @t38 () (_ @t11 @t30)) % 0.34/0.58 (define @t39 () (forall @t13 (or @t35 @t38))) % 0.34/0.58 (define @t40 () (not @t39)) % 0.34/0.58 (define @t41 () (_ @t11 @t32)) % 0.34/0.58 (define @t42 () (forall @t13 (or @t35 @t41))) % 0.34/0.58 (define @t43 () (not @t42)) % 0.34/0.58 (define @t44 () (or @t43 @t40 @t37 @t29 @t28)) % 0.34/0.58 (define @t45 () (or @t29 @t28)) % 0.34/0.58 (define @t46 () (or @t43 @t40 @t37 @t45)) % 0.34/0.58 (define @t47 () (@list @t2 @t11 @t5 @t27)) % 0.34/0.58 (define @t48 () (forall @t47 @t46)) % 0.34/0.58 (define @t49 () (@list @t27)) % 0.34/0.58 (define @t50 () (forall @t49 @t46)) % 0.34/0.58 (define @t51 () (forall @t49 @t45)) % 0.34/0.58 (define @t52 () (or @t43 @t40 @t37 @t51)) % 0.34/0.58 (define @t53 () (_ @t2 @t30)) % 0.34/0.58 (define @t54 () (_ @t5 @t53)) % 0.34/0.58 (define @t55 () (_ @t2 @t33)) % 0.34/0.58 (define @t56 () (forall @t13 (or @t35 (= @t55 @t54)))) % 0.34/0.58 (define @t57 () (or @t43 @t40 @t37 @t56)) % 0.34/0.58 (define @t58 () (or @t43 @t40 @t37)) % 0.34/0.58 (define @t59 () (or @t43 @t43 @t40 @t37)) % 0.34/0.58 (define @t60 () (and @t42 @t42 @t39 @t36)) % 0.34/0.58 (define @t61 () (not @t12)) % 0.34/0.58 (define @t62 () (or @t61 @t10)) % 0.34/0.58 (define @t63 () (or @t61 @t16)) % 0.34/0.58 (define @t64 () (or @t61 @t18)) % 0.34/0.58 (define @t65 () (or @t61 @t20)) % 0.34/0.58 (define @t66 () (forall @t47 @t44)) % 0.34/0.58 (define @t67 () (@quantifiers_skolemize @t66 3)) % 0.34/0.58 (define @t68 () (@quantifiers_skolemize @t66 0)) % 0.34/0.58 (define @t69 () (_ @t68 @t67)) % 0.34/0.58 (define @t70 () (@quantifiers_skolemize @t66 2)) % 0.34/0.58 (define @t71 () (_ @t70 (_ @t68 @t69))) % 0.34/0.58 (define @t72 () (_ @t68 (_ @t70 @t67))) % 0.34/0.58 (define @t73 () (_ @t68 @t72)) % 0.34/0.58 (define @t74 () (= @t73 @t71)) % 0.34/0.58 (define @t75 () (@quantifiers_skolemize @t66 1)) % 0.34/0.58 (define @t76 () (_ @t75 @t67)) % 0.34/0.58 (define @t77 () (not @t76)) % 0.34/0.58 (define @t78 () (_ @t68 @t1)) % 0.34/0.58 (define @t79 () (_ @t70 @t1)) % 0.34/0.58 (define @t80 () (not (_ @t75 @t1))) % 0.34/0.58 (define @t81 () (forall @t13 (or @t80 (= (_ @t68 @t79) (_ @t70 @t78))))) % 0.34/0.58 (define @t82 () (not @t81)) % 0.34/0.58 (define @t83 () (forall @t13 (or @t80 (_ @t75 @t78)))) % 0.34/0.58 (define @t84 () (not @t83)) % 0.34/0.58 (define @t85 () (or (not (forall @t13 (or @t80 (_ @t75 @t79)))) @t84 @t82 @t77 @t74)) % 0.34/0.58 (define @t86 () (@list true)) % 0.34/0.58 (define @t87 () (@list @t85)) % 0.34/0.58 (define @t88 () (@list @t67)) % 0.34/0.58 (define @t89 () (_ @t70 @t69)) % 0.34/0.58 (define @t90 () (= @t72 @t89)) % 0.34/0.58 (define @t91 () (or @t77 @t90)) % 0.34/0.58 (define @t92 () (@list false false)) % 0.34/0.58 (define @t93 () (_ @t68 @t89)) % 0.34/0.58 (define @t94 () (_ @t75 @t69)) % 0.34/0.58 (define @t95 () (not @t94)) % 0.34/0.58 (define @t96 () (or @t95 (= @t93 @t71))) % 0.34/0.58 (define @t97 () (= @t71 @t93)) % 0.34/0.58 (define @t98 () (or @t95 @t97)) % 0.34/0.58 (define @t99 () (or @t77 @t94)) % 0.34/0.58 (define @t100 () (and @t90 @t97)) % 0.34/0.58 (assume @p1 @t26) % 0.34/0.58 (assume @p2 true) % 0.34/0.58 (step @p3 :rule aci_norm :args ((= @t46 @t44))) % 0.34/0.58 (step @p4 :rule cong :premises (@p3) :args (@t48)) % 0.34/0.58 (step @p5 :rule quant-merge-prenex :args ((= (forall @t24 @t50) @t48))) % 0.34/0.58 (step @p6 :rule alpha_equiv :args (@t51 (@list @t27) (@list @t1))) % 0.34/0.58 (step @p7 :rule refl :args (@t37)) % 0.34/0.58 (step @p8 :rule refl :args (@t40)) % 0.34/0.58 (step @p9 :rule refl :args (@t43)) % 0.34/0.58 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7 @p6) :args (@t52)) % 0.34/0.58 (step @p11 :rule quant-miniscope-or :args ((= @t50 @t52))) % 0.34/0.58 (step @p12 :rule trans :premises (@p11 @p10)) % 0.34/0.58 (step @p13 :rule symm :premises (@p12)) % 0.34/0.58 (step @p14 :rule cong :premises (@p13) :args ((forall @t24 @t57))) % 0.34/0.58 (step @p15 :rule trans :premises (@p14 @p5)) % 0.34/0.58 (step @p16 :rule trans :premises (@p15 @p4)) % 0.34/0.58 (step @p17 :rule aci_norm :args ((= (or @t58 @t56) @t57))) % 0.34/0.58 (step @p18 :rule refl :args (@t56)) % 0.34/0.58 (step @p19 :rule aci_norm :args ((= @t59 @t58))) % 0.34/0.58 (step @p20 :rule aci_norm :args ((= (or @t43 (or @t43 (or @t40 @t37))) @t59))) % 0.34/0.58 (step @p21 :rule bool-and-de-morgan :args (@t39 @t36 true)) % 0.34/0.58 (step @p22 :rule nary_cong :premises (@p9 @p21) :args ((or @t43 (not (and @t39 @t36))))) % 0.34/0.58 (step @p23 :rule bool-and-de-morgan :args (@t42 @t39 (and @t36))) % 0.34/0.58 (step @p24 :rule trans :premises (@p23 @p22)) % 0.34/0.58 (step @p25 :rule nary_cong :premises (@p9 @p24) :args ((or @t43 (not (and @t42 @t39 @t36))))) % 0.34/0.58 (step @p26 :rule bool-and-de-morgan :args (@t42 @t42 (and @t39 @t36))) % 0.34/0.58 (step @p27 :rule trans :premises (@p26 @p25)) % 0.34/0.58 (step @p28 :rule trans :premises (@p27 @p20)) % 0.34/0.58 (step @p29 :rule trans :premises (@p28 @p19)) % 0.34/0.58 (step @p30 :rule nary_cong :premises (@p29 @p18) :args ((or (not @t60) @t56))) % 0.34/0.58 (step @p31 :rule trans :premises (@p30 @p17)) % 0.34/0.58 (step @p32 :rule bool-impl-elim :args (@t60 @t56)) % 0.34/0.58 (step @p33 :rule trans :premises (@p32 @p31)) % 0.34/0.58 (step @p34 :rule cong :premises (@p33) :args ((forall @t24 (=> @t60 @t56)))) % 0.34/0.58 (step @p35 :rule trans :premises (@p34 @p16)) % 0.34/0.58 (step @p36 :rule refl :args ((_ @t5 @t4))) % 0.34/0.58 (step @p37 :rule refl :args ((_ @t2 @t3))) % 0.34/0.58 (step @p38 :rule refl :args (@t30)) % 0.34/0.58 (step @p39 :rule cong :premises (@p38) :args (@t53)) % 0.34/0.58 (step @p40 :rule trans :premises (@p39 @p37)) % 0.34/0.58 (step @p41 :rule cong :premises (@p40) :args (@t54)) % 0.34/0.58 (step @p42 :rule trans :premises (@p41 @p36)) % 0.34/0.58 (step @p43 :rule refl :args (@t5)) % 0.34/0.58 (step @p44 :rule ho_cong :premises (@p43 @p40)) % 0.34/0.58 (step @p45 :rule cong :premises (@p44 @p42) :args ((= (_ @t5 @t53) @t54))) % 0.34/0.58 (step @p46 :rule symm :premises (@p45)) % 0.34/0.58 (step @p47 :rule refl :args (@t6)) % 0.34/0.58 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.34/0.58 (step @p49 :rule refl :args (@t2)) % 0.34/0.58 (step @p50 :rule ho_cong :premises (@p49 @p38)) % 0.34/0.58 (step @p51 :rule cong :premises (@p50 @p40) :args ((= (_ @t2 @t30) @t53))) % 0.34/0.58 (step @p52 :rule symm :premises (@p51)) % 0.34/0.58 (step @p53 :rule refl :args (@t4)) % 0.34/0.58 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.34/0.58 (step @p55 :rule refl :args (@t3)) % 0.34/0.58 (step @p56 :rule cong :premises (@p55 @p38) :args ((= @t3 @t30))) % 0.34/0.58 (step @p57 :rule symm :premises (@p56)) % 0.34/0.58 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.34/0.58 (step @p59 :rule ho_cong :premises (@p49 @p58)) % 0.34/0.58 (step @p60 :rule trans :premises (@p59 @p54)) % 0.34/0.58 (step @p61 :rule ho_cong :premises (@p43 @p60)) % 0.34/0.58 (step @p62 :rule trans :premises (@p61 @p48)) % 0.34/0.58 (step @p63 :rule refl :args ((_ @t2 @t8))) % 0.34/0.58 (step @p64 :rule refl :args ((_ @t2 @t7))) % 0.34/0.58 (step @p65 :rule refl :args (@t32)) % 0.34/0.58 (step @p66 :rule cong :premises (@p65) :args (@t33)) % 0.34/0.58 (step @p67 :rule trans :premises (@p66 @p64)) % 0.34/0.58 (step @p68 :rule cong :premises (@p67) :args (@t55)) % 0.34/0.58 (step @p69 :rule trans :premises (@p68 @p63)) % 0.34/0.58 (step @p70 :rule ho_cong :premises (@p49 @p67)) % 0.34/0.58 (step @p71 :rule cong :premises (@p70 @p69) :args ((= (_ @t2 @t33) @t55))) % 0.34/0.58 (step @p72 :rule symm :premises (@p71)) % 0.34/0.58 (step @p73 :rule refl :args (@t9)) % 0.34/0.58 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.34/0.58 (step @p75 :rule ho_cong :premises (@p49 @p65)) % 0.34/0.58 (step @p76 :rule cong :premises (@p75 @p67) :args ((= (_ @t2 @t32) @t33))) % 0.34/0.58 (step @p77 :rule symm :premises (@p76)) % 0.34/0.58 (step @p78 :rule refl :args (@t8)) % 0.34/0.58 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.34/0.58 (step @p80 :rule refl :args (@t7)) % 0.34/0.58 (step @p81 :rule cong :premises (@p80 @p65) :args ((= @t7 @t32))) % 0.34/0.58 (step @p82 :rule symm :premises (@p81)) % 0.34/0.58 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 0.34/0.58 (step @p84 :rule ho_cong :premises (@p49 @p83)) % 0.34/0.58 (step @p85 :rule trans :premises (@p84 @p79)) % 0.34/0.58 (step @p86 :rule ho_cong :premises (@p49 @p85)) % 0.34/0.58 (step @p87 :rule trans :premises (@p86 @p74)) % 0.34/0.58 (step @p88 :rule cong :premises (@p87 @p62) :args (@t10)) % 0.34/0.58 (step @p89 :rule refl :args (@t34)) % 0.34/0.58 (step @p90 :rule refl :args (@t12)) % 0.34/0.58 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t12 @t34))) % 0.34/0.58 (step @p92 :rule symm :premises (@p91)) % 0.34/0.58 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 0.34/0.58 (step @p94 :rule cong :premises (@p93) :args (@t61)) % 0.34/0.58 (step @p95 :rule nary_cong :premises (@p94 @p88) :args (@t62)) % 0.34/0.58 (step @p96 :rule cong :premises (@p95) :args ((forall @t13 @t62))) % 0.34/0.58 (step @p97 :rule bool-impl-elim :args (@t12 @t10)) % 0.34/0.58 (step @p98 :rule cong :premises (@p97) :args (@t14)) % 0.34/0.58 (step @p99 :rule trans :premises (@p98 @p96)) % 0.34/0.58 (step @p100 :rule refl :args ((_ @t5 @t3))) % 0.34/0.58 (step @p101 :rule cong :premises (@p38) :args (@t31)) % 0.34/0.58 (step @p102 :rule trans :premises (@p101 @p100)) % 0.34/0.58 (step @p103 :rule ho_cong :premises (@p43 @p38)) % 0.34/0.58 (step @p104 :rule cong :premises (@p103 @p102) :args ((= (_ @t5 @t30) @t31))) % 0.34/0.58 (step @p105 :rule symm :premises (@p104)) % 0.34/0.58 (step @p106 :rule refl :args (@t15)) % 0.34/0.58 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.34/0.58 (step @p108 :rule ho_cong :premises (@p43 @p58)) % 0.34/0.58 (step @p109 :rule trans :premises (@p108 @p107)) % 0.34/0.58 (step @p110 :rule cong :premises (@p85 @p109) :args (@t16)) % 0.34/0.58 (step @p111 :rule nary_cong :premises (@p94 @p110) :args (@t63)) % 0.34/0.58 (step @p112 :rule cong :premises (@p111) :args ((forall @t13 @t63))) % 0.34/0.58 (step @p113 :rule bool-impl-elim :args (@t12 @t16)) % 0.34/0.58 (step @p114 :rule cong :premises (@p113) :args (@t17)) % 0.34/0.58 (step @p115 :rule trans :premises (@p114 @p112)) % 0.34/0.58 (step @p116 :rule refl :args ((_ @t11 @t3))) % 0.34/0.58 (step @p117 :rule cong :premises (@p38) :args (@t38)) % 0.34/0.58 (step @p118 :rule trans :premises (@p117 @p116)) % 0.34/0.58 (step @p119 :rule refl :args (@t11)) % 0.34/0.58 (step @p120 :rule ho_cong :premises (@p119 @p38)) % 0.34/0.58 (step @p121 :rule cong :premises (@p120 @p118) :args ((= (_ @t11 @t30) @t38))) % 0.34/0.58 (step @p122 :rule symm :premises (@p121)) % 0.34/0.58 (step @p123 :rule refl :args (@t18)) % 0.34/0.58 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.34/0.58 (step @p125 :rule ho_cong :premises (@p119 @p58)) % 0.34/0.58 (step @p126 :rule trans :premises (@p125 @p124)) % 0.34/0.58 (step @p127 :rule nary_cong :premises (@p94 @p126) :args (@t64)) % 0.34/0.58 (step @p128 :rule cong :premises (@p127) :args ((forall @t13 @t64))) % 0.34/0.58 (step @p129 :rule bool-impl-elim :args (@t12 @t18)) % 0.34/0.58 (step @p130 :rule cong :premises (@p129) :args (@t19)) % 0.34/0.58 (step @p131 :rule trans :premises (@p130 @p128)) % 0.34/0.58 (step @p132 :rule refl :args ((_ @t11 @t7))) % 0.34/0.58 (step @p133 :rule cong :premises (@p65) :args (@t41)) % 0.34/0.58 (step @p134 :rule trans :premises (@p133 @p132)) % 0.34/0.58 (step @p135 :rule ho_cong :premises (@p119 @p65)) % 0.34/0.58 (step @p136 :rule cong :premises (@p135 @p134) :args ((= (_ @t11 @t32) @t41))) % 0.34/0.58 (step @p137 :rule symm :premises (@p136)) % 0.34/0.58 (step @p138 :rule refl :args (@t20)) % 0.34/0.58 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.34/0.58 (step @p140 :rule ho_cong :premises (@p119 @p83)) % 0.34/0.58 (step @p141 :rule trans :premises (@p140 @p139)) % 0.34/0.58 (step @p142 :rule nary_cong :premises (@p94 @p141) :args (@t65)) % 0.34/0.58 (step @p143 :rule cong :premises (@p142) :args ((forall @t13 @t65))) % 0.34/0.58 (step @p144 :rule bool-impl-elim :args (@t12 @t20)) % 0.34/0.58 (step @p145 :rule cong :premises (@p144) :args (@t21)) % 0.34/0.58 (step @p146 :rule trans :premises (@p145 @p143)) % 0.34/0.58 (step @p147 :rule nary_cong :premises (@p146 @p146 @p131 @p115) :args (@t22)) % 0.34/0.58 (step @p148 :rule cong :premises (@p147 @p99) :args (@t23)) % 0.34/0.58 (step @p149 :rule cong :premises (@p148) :args (@t25)) % 0.34/0.58 (step @p150 :rule trans :premises (@p149 @p35)) % 0.34/0.58 (step @p151 :rule cong :premises (@p150) :args (@t26)) % 0.34/0.58 (step @p152 :rule eq_resolve :premises (@p1 @p151)) % 0.34/0.58 (step @p153 :rule skolemize :premises (@p152)) % 0.34/0.58 (step @p154 :rule cnf_or_neg :args (@t85 4)) % 0.34/0.58 (step @p155 :rule chain_m_resolution :premises (@p154 @p153) :args ((not @t74) @t86 @t87)) % 0.34/0.58 (step @p156 :rule bool-double-not-elim :args (@t81)) % 0.34/0.58 (step @p157 :rule refl :args (@t85)) % 0.34/0.58 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or @t85 (not @t82)))) % 0.34/0.58 (step @p159 :rule cnf_or_neg :args (@t85 2)) % 0.34/0.58 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 0.34/0.58 (step @p161 :rule reordering :premises (@p160) :args ((or @t81 @t85))) % 0.34/0.58 (step @p162 :rule chain_m_resolution :premises (@p161 @p153) :args (@t81 @t86 @t87)) % 0.34/0.58 (step @p163 :rule instantiate :premises (@p162) :args (@t88)) % 0.34/0.58 (step @p164 :rule bool-double-not-elim :args (@t76)) % 0.34/0.58 (step @p165 :rule nary_cong :premises (@p157 @p164) :args ((or @t85 (not @t77)))) % 0.34/0.58 (step @p166 :rule cnf_or_neg :args (@t85 3)) % 0.34/0.58 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.34/0.58 (step @p168 :rule reordering :premises (@p167) :args ((or @t76 @t85))) % 0.34/0.58 (step @p169 :rule chain_m_resolution :premises (@p168 @p153) :args (@t76 @t86 @t87)) % 0.34/0.58 (step @p170 :rule cnf_or_pos :args (@t91)) % 0.34/0.58 (step @p171 :rule reordering :premises (@p170) :args ((or @t77 @t90 (not @t91)))) % 0.34/0.58 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p163) :args (@t90 @t92 (@list @t76 @t91))) % 0.34/0.58 (step @p173 :rule eq-symm :args (@t93 @t71)) % 0.34/0.58 (step @p174 :rule refl :args (@t95)) % 0.34/0.58 (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t96)) % 0.34/0.58 (step @p176 :rule refl :args (@t81)) % 0.34/0.58 (step @p177 :rule cong :premises (@p176 @p175) :args ((=> @t81 @t96))) % 0.34/0.58 (assume-push @p211 @t81) % 0.34/0.58 (step @p179 :rule instantiate :premises (@p162) :args ((@list @t69))) % 0.34/0.58 (step-pop @p212 :rule scope :premises (@p179)) % 0.34/0.58 (step @p180 :rule process_scope :premises (@p212) :args (@t96)) % 0.34/0.58 (step @p182 :rule eq_resolve :premises (@p180 @p177)) % 0.34/0.58 (step @p183 :rule implies_elim :premises (@p182)) % 0.34/0.58 (step @p184 :rule chain_m_resolution :premises (@p183 @p162) :args (@t98 (@list false) (@list @t81))) % 0.34/0.58 (step @p185 :rule bool-double-not-elim :args (@t83)) % 0.34/0.58 (step @p186 :rule nary_cong :premises (@p157 @p185) :args ((or @t85 (not @t84)))) % 0.34/0.58 (step @p187 :rule cnf_or_neg :args (@t85 1)) % 0.34/0.58 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 0.34/0.58 (step @p189 :rule reordering :premises (@p188) :args ((or @t83 @t85))) % 0.34/0.58 (step @p190 :rule chain_m_resolution :premises (@p189 @p153) :args (@t83 @t86 @t87)) % 0.34/0.58 (step @p191 :rule instantiate :premises (@p190) :args (@t88)) % 0.34/0.58 (step @p192 :rule cnf_or_pos :args (@t99)) % 0.34/0.58 (step @p193 :rule reordering :premises (@p192) :args ((or @t77 @t94 (not @t99)))) % 0.34/0.58 (step @p194 :rule chain_m_resolution :premises (@p193 @p169 @p191) :args (@t94 @t92 (@list @t76 @t99))) % 0.34/0.58 (step @p195 :rule cnf_or_pos :args (@t98)) % 0.34/0.58 (step @p196 :rule reordering :premises (@p195) :args ((or @t95 @t97 (not @t98)))) % 0.34/0.58 (step @p197 :rule chain_m_resolution :premises (@p196 @p194 @p184) :args (@t97 @t92 (@list @t94 @t98))) % 0.34/0.58 (assume-push @p213 @t90) % 0.34/0.58 (assume-push @p214 @t97) % 0.34/0.58 (step @p200 :rule symm :premises (@p197)) % 0.34/0.58 (step @p201 :rule cong :premises (@p172) :args (@t73)) % 0.34/0.58 (step @p202 :rule trans :premises (@p201 @p200)) % 0.34/0.58 (step-pop @p215 :rule scope :premises (@p202)) % 0.34/0.58 (step-pop @p216 :rule scope :premises (@p215)) % 0.34/0.58 (step @p203 :rule process_scope :premises (@p216) :args (@t74)) % 0.34/0.58 (step @p206 :rule implies_elim :premises (@p203)) % 0.34/0.58 (step @p207 :rule cnf_and_neg :args (@t100)) % 0.34/0.58 (step @p208 :rule resolution :premises (@p207 @p206) :args (true @t100)) % 0.34/0.58 (step @p209 :rule reordering :premises (@p208) :args ((or @t74 (not @t90) (not @t97)))) % 0.34/0.58 (step @p210 false :rule chain_m_resolution :premises (@p209 @p197 @p172 @p155) :args (false (@list false false true) (@list @t97 @t90 @t74))) % 0.34/0.58 ) % 0.34/0.58 % SZS output end Proof % 0.34/0.58 % cvc5 exiting %------------------------------------------------------------------------------