%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV057^5 : 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 : n026.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 08:55:23 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV057^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 18:11:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.38/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort tptp.a 0) % 0.38/0.59 (define @t1 () (@var "Xx0" tptp.a)) % 0.38/0.59 (define @t2 () (@var "Xz" tptp.a)) % 0.38/0.59 (define @t3 () (@var "Xs" (-> tptp.a tptp.a))) % 0.38/0.59 (define @t4 () (_ @t3 @t2)) % 0.38/0.59 (define @t5 () (@var "Xy" tptp.a)) % 0.38/0.59 (define @t6 () (= @t5 @t4)) % 0.38/0.59 (define @t7 () (@var "Xx" (-> tptp.a Bool))) % 0.38/0.59 (define @t8 () (_ @t7 @t2)) % 0.38/0.59 (define @t9 () (and @t8 @t6)) % 0.38/0.59 (define @t10 () (=> @t9 (= @t2 @t1))) % 0.38/0.59 (define @t11 () (@list @t2)) % 0.38/0.59 (define @t12 () (forall @t11 @t10)) % 0.38/0.59 (define @t13 () (_ @t3 @t1)) % 0.38/0.59 (define @t14 () (_ @t7 @t1)) % 0.38/0.59 (define @t15 () (and @t14 (= @t5 @t13) @t12)) % 0.38/0.59 (define @t16 () (@list @t1)) % 0.38/0.59 (define @t17 () (exists @t16 @t15)) % 0.38/0.59 (define @t18 () (_ @t7 @t5)) % 0.38/0.59 (define @t19 () (=> @t18 @t17)) % 0.38/0.59 (define @t20 () (@list @t5)) % 0.38/0.59 (define @t21 () (forall @t20 @t19)) % 0.38/0.59 (define @t22 () (_ @t7 @t13)) % 0.38/0.59 (define @t23 () (forall @t16 (=> @t14 @t22))) % 0.38/0.59 (define @t24 () (and @t23 @t21)) % 0.38/0.59 (define @t25 () (@list @t3)) % 0.38/0.59 (define @t26 () (exists @t25 @t24)) % 0.38/0.59 (define @t27 () (@list @t7)) % 0.38/0.59 (define @t28 () (forall @t27 @t26)) % 0.38/0.59 (define @t29 () (not @t28)) % 0.38/0.59 (define @t30 () (_ @t3 @t1)) % 0.38/0.59 (define @t31 () (_ @t7 @t30)) % 0.38/0.59 (define @t32 () (_ @t7 @t1)) % 0.38/0.59 (define @t33 () (not @t32)) % 0.38/0.59 (define @t34 () (forall @t16 (or @t33 @t31))) % 0.38/0.59 (define @t35 () (= @t1 @t2)) % 0.38/0.59 (define @t36 () (_ @t3 @t2)) % 0.38/0.59 (define @t37 () (not (= @t5 @t36))) % 0.38/0.59 (define @t38 () (_ @t7 @t2)) % 0.38/0.59 (define @t39 () (forall @t11 (or (not @t38) @t37 @t35))) % 0.38/0.59 (define @t40 () (not @t39)) % 0.38/0.59 (define @t41 () (not (= @t5 @t30))) % 0.38/0.59 (define @t42 () (not (forall @t16 (or @t33 @t41 @t40)))) % 0.38/0.59 (define @t43 () (_ @t7 @t5)) % 0.38/0.59 (define @t44 () (forall @t20 (or (not @t43) @t42))) % 0.38/0.59 (define @t45 () (and @t34 @t44)) % 0.38/0.59 (define @t46 () (forall @t25 (not @t45))) % 0.38/0.59 (define @t47 () (not @t46)) % 0.38/0.59 (define @t48 () (not @t18)) % 0.38/0.59 (define @t49 () (or @t48 @t42)) % 0.38/0.59 (define @t50 () (not (= @t30 @t5))) % 0.38/0.59 (define @t51 () (or @t33 @t50 @t40)) % 0.38/0.59 (define @t52 () (= @t13 @t5)) % 0.38/0.59 (define @t53 () (not @t52)) % 0.38/0.59 (define @t54 () (not @t14)) % 0.38/0.59 (define @t55 () (or @t54 @t53 @t40)) % 0.38/0.59 (define @t56 () (and @t14 @t52 @t39)) % 0.38/0.59 (define @t57 () (forall @t16 (not @t56))) % 0.38/0.59 (define @t58 () (not @t57)) % 0.38/0.59 (define @t59 () (not @t6)) % 0.38/0.59 (define @t60 () (not @t8)) % 0.38/0.59 (define @t61 () (or @t60 @t59 @t35)) % 0.38/0.59 (define @t62 () (or @t54 @t22)) % 0.38/0.59 (define @t63 () (forall @t27 (not (forall @t25 (or (not @t34) (not @t44)))))) % 0.38/0.59 (define @t64 () (@quantifiers_skolemize @t63 0)) % 0.38/0.59 (define @t65 () (not (_ @t64 @t2))) % 0.38/0.59 (define @t66 () (_ @t64 @t1)) % 0.38/0.59 (define @t67 () (not @t66)) % 0.38/0.59 (define @t68 () (_ @t64 @t5)) % 0.38/0.59 (define @t69 () (not @t68)) % 0.38/0.59 (define @t70 () (forall @t25 (or (not (forall @t16 (or @t67 (_ @t64 @t30)))) (not (forall @t20 (or @t69 (not (forall @t16 (or @t67 @t41 (not (forall @t11 (or @t65 @t37 @t35)))))))))))) % 0.38/0.59 (define @t71 () (not @t63)) % 0.38/0.59 (define @t72 () (not (not @t70))) % 0.38/0.59 (define @t73 () (not (= @t5 @t5))) % 0.38/0.59 (define @t74 () (and @t68 @t73)) % 0.38/0.59 (define @t75 () (or @t69 @t73 @t74)) % 0.38/0.59 (define @t76 () (= @t1 @t5)) % 0.38/0.59 (define @t77 () (not @t76)) % 0.38/0.59 (define @t78 () (and @t68 @t77)) % 0.38/0.59 (define @t79 () (or @t77 @t67 @t77 @t78)) % 0.38/0.59 (define @t80 () (or @t67 @t77 @t78)) % 0.38/0.59 (define @t81 () (or @t69 @t76)) % 0.38/0.59 (define @t82 () (or @t67 @t77 (not @t81))) % 0.38/0.59 (define @t83 () (or @t69 @t73 @t76)) % 0.38/0.59 (define @t84 () (not (= @t5 @t2))) % 0.38/0.59 (define @t85 () (or @t84 @t65 @t84 @t35)) % 0.38/0.59 (define @t86 () (or @t65 @t84 @t35)) % 0.38/0.59 (define @t87 () (@var "BOUND_VARIABLE_14656" tptp.a)) % 0.38/0.59 (define @t88 () (lambda (@list @t87) @t87)) % 0.38/0.59 (define @t89 () (_ @t88 @t2)) % 0.38/0.59 (define @t90 () (= @t5 @t89)) % 0.38/0.59 (define @t91 () (not @t90)) % 0.38/0.59 (define @t92 () (or @t65 @t91 @t35)) % 0.38/0.59 (define @t93 () (forall @t11 @t92)) % 0.38/0.59 (define @t94 () (not @t93)) % 0.38/0.59 (define @t95 () (_ @t88 @t1)) % 0.38/0.59 (define @t96 () (= @t5 @t95)) % 0.38/0.59 (define @t97 () (not @t96)) % 0.38/0.59 (define @t98 () (or @t67 @t97 @t94)) % 0.38/0.59 (define @t99 () (forall @t16 @t98)) % 0.38/0.59 (define @t100 () (not @t99)) % 0.38/0.59 (define @t101 () (or @t69 @t100)) % 0.38/0.59 (define @t102 () (forall @t20 @t101)) % 0.38/0.59 (define @t103 () (not @t102)) % 0.38/0.59 (define @t104 () (_ @t64 @t95)) % 0.38/0.59 (define @t105 () (or @t67 @t104)) % 0.38/0.59 (define @t106 () (forall @t16 @t105)) % 0.38/0.59 (define @t107 () (not @t106)) % 0.38/0.59 (define @t108 () (or @t107 @t103)) % 0.38/0.59 (assume @p1 @t29) % 0.38/0.59 (assume @p2 true) % 0.38/0.59 (step @p3 :rule bool-and-de-morgan :args (@t34 @t44 true)) % 0.38/0.59 (step @p4 :rule cong :premises (@p3) :args (@t46)) % 0.38/0.59 (step @p5 :rule cong :premises (@p4) :args (@t47)) % 0.38/0.59 (step @p6 :rule exists-elim :args ((= (exists @t25 @t45) @t47))) % 0.38/0.59 (step @p7 :rule trans :premises (@p6 @p5)) % 0.38/0.59 (step @p8 :rule refl :args (@t42)) % 0.38/0.59 (step @p9 :rule refl :args (@t43)) % 0.38/0.59 (step @p10 :rule refl :args (@t18)) % 0.38/0.59 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t18 @t43))) % 0.38/0.59 (step @p12 :rule symm :premises (@p11)) % 0.38/0.59 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.38/0.59 (step @p14 :rule cong :premises (@p13) :args (@t48)) % 0.38/0.59 (step @p15 :rule nary_cong :premises (@p14 @p8) :args (@t49)) % 0.38/0.59 (step @p16 :rule cong :premises (@p15) :args ((forall @t20 @t49))) % 0.38/0.59 (step @p17 :rule bool-impl-elim :args (@t18 @t42)) % 0.38/0.59 (step @p18 :rule cong :premises (@p17) :args ((forall @t20 (=> @t18 @t42)))) % 0.38/0.59 (step @p19 :rule trans :premises (@p18 @p16)) % 0.38/0.59 (step @p20 :rule refl :args (@t40)) % 0.38/0.59 (step @p21 :rule eq-symm :args (@t30 @t5)) % 0.38/0.59 (step @p22 :rule cong :premises (@p21) :args (@t50)) % 0.38/0.59 (step @p23 :rule refl :args (@t33)) % 0.38/0.59 (step @p24 :rule nary_cong :premises (@p23 @p22 @p20) :args (@t51)) % 0.38/0.59 (step @p25 :rule cong :premises (@p24) :args ((forall @t16 @t51))) % 0.38/0.59 (step @p26 :rule refl :args (@t40)) % 0.38/0.59 (step @p27 :rule refl :args (@t5)) % 0.38/0.59 (step @p28 :rule refl :args (@t30)) % 0.38/0.59 (step @p29 :rule refl :args (@t13)) % 0.38/0.59 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t13 @t30))) % 0.38/0.59 (step @p31 :rule symm :premises (@p30)) % 0.38/0.59 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.38/0.59 (step @p33 :rule cong :premises (@p32 @p27) :args (@t52)) % 0.38/0.59 (step @p34 :rule cong :premises (@p33) :args (@t53)) % 0.38/0.59 (step @p35 :rule refl :args (@t32)) % 0.38/0.59 (step @p36 :rule refl :args (@t14)) % 0.38/0.59 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t14 @t32))) % 0.38/0.59 (step @p38 :rule symm :premises (@p37)) % 0.38/0.59 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.38/0.59 (step @p40 :rule cong :premises (@p39) :args (@t54)) % 0.38/0.59 (step @p41 :rule nary_cong :premises (@p40 @p34 @p26) :args (@t55)) % 0.38/0.59 (step @p42 :rule cong :premises (@p41) :args ((forall @t16 @t55))) % 0.38/0.59 (step @p43 :rule trans :premises (@p42 @p25)) % 0.38/0.59 (step @p44 :rule aci_norm :args ((= (or @t54 (or @t53 @t40)) @t55))) % 0.38/0.59 (step @p45 :rule bool-and-de-morgan :args (@t52 @t39 true)) % 0.38/0.59 (step @p46 :rule refl :args (@t54)) % 0.38/0.59 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t54 (not (and @t52 @t39))))) % 0.38/0.59 (step @p48 :rule bool-and-de-morgan :args (@t14 @t52 (and @t39))) % 0.38/0.59 (step @p49 :rule trans :premises (@p48 @p47)) % 0.38/0.59 (step @p50 :rule trans :premises (@p49 @p44)) % 0.38/0.59 (step @p51 :rule cong :premises (@p50) :args (@t57)) % 0.38/0.59 (step @p52 :rule trans :premises (@p51 @p43)) % 0.38/0.59 (step @p53 :rule cong :premises (@p52) :args (@t58)) % 0.38/0.59 (step @p54 :rule exists-elim :args ((= (exists @t16 @t56) @t58))) % 0.38/0.59 (step @p55 :rule trans :premises (@p54 @p53)) % 0.38/0.59 (step @p56 :rule refl :args (@t35)) % 0.38/0.59 (step @p57 :rule refl :args (@t36)) % 0.38/0.59 (step @p58 :rule refl :args (@t4)) % 0.38/0.59 (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t4 @t36))) % 0.38/0.59 (step @p60 :rule symm :premises (@p59)) % 0.38/0.59 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.38/0.59 (step @p62 :rule cong :premises (@p27 @p61) :args (@t6)) % 0.38/0.59 (step @p63 :rule cong :premises (@p62) :args (@t59)) % 0.38/0.59 (step @p64 :rule refl :args (@t38)) % 0.38/0.59 (step @p65 :rule refl :args (@t8)) % 0.38/0.59 (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t8 @t38))) % 0.38/0.59 (step @p67 :rule symm :premises (@p66)) % 0.38/0.59 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 0.38/0.59 (step @p69 :rule cong :premises (@p68) :args (@t60)) % 0.38/0.59 (step @p70 :rule nary_cong :premises (@p69 @p63 @p56) :args (@t61)) % 0.38/0.59 (step @p71 :rule cong :premises (@p70) :args ((forall @t11 @t61))) % 0.38/0.59 (step @p72 :rule aci_norm :args ((= (or (or @t60 @t59) @t35) @t61))) % 0.38/0.59 (step @p73 :rule bool-and-de-morgan :args (@t8 @t6 true)) % 0.38/0.59 (step @p74 :rule nary_cong :premises (@p73 @p56) :args ((or (not @t9) @t35))) % 0.38/0.59 (step @p75 :rule trans :premises (@p74 @p72)) % 0.38/0.59 (step @p76 :rule bool-impl-elim :args (@t9 @t35)) % 0.38/0.59 (step @p77 :rule trans :premises (@p76 @p75)) % 0.38/0.59 (step @p78 :rule cong :premises (@p77) :args ((forall @t11 (=> @t9 @t35)))) % 0.38/0.59 (step @p79 :rule trans :premises (@p78 @p71)) % 0.38/0.59 (step @p80 :rule eq-symm :args (@t2 @t1)) % 0.38/0.59 (step @p81 :rule refl :args (@t9)) % 0.38/0.59 (step @p82 :rule cong :premises (@p81 @p80) :args (@t10)) % 0.38/0.59 (step @p83 :rule cong :premises (@p82) :args (@t12)) % 0.38/0.59 (step @p84 :rule trans :premises (@p83 @p79)) % 0.38/0.59 (step @p85 :rule eq-symm :args (@t5 @t13)) % 0.38/0.59 (step @p86 :rule refl :args (@t14)) % 0.38/0.59 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84) :args (@t15)) % 0.38/0.59 (step @p88 :rule cong :premises (@p87) :args (@t17)) % 0.38/0.59 (step @p89 :rule trans :premises (@p88 @p55)) % 0.38/0.59 (step @p90 :rule refl :args (@t18)) % 0.38/0.59 (step @p91 :rule cong :premises (@p90 @p89) :args (@t19)) % 0.38/0.59 (step @p92 :rule cong :premises (@p91) :args (@t21)) % 0.38/0.59 (step @p93 :rule trans :premises (@p92 @p19)) % 0.38/0.59 (step @p94 :rule refl :args ((_ @t7 @t13))) % 0.38/0.59 (step @p95 :rule cong :premises (@p28) :args (@t31)) % 0.38/0.59 (step @p96 :rule trans :premises (@p95 @p94)) % 0.38/0.59 (step @p97 :rule refl :args (@t7)) % 0.38/0.59 (step @p98 :rule ho_cong :premises (@p97 @p28)) % 0.38/0.59 (step @p99 :rule cong :premises (@p98 @p96) :args ((= (_ @t7 @t30) @t31))) % 0.38/0.59 (step @p100 :rule symm :premises (@p99)) % 0.38/0.59 (step @p101 :rule refl :args (@t22)) % 0.38/0.59 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.38/0.59 (step @p103 :rule ho_cong :premises (@p97 @p32)) % 0.38/0.59 (step @p104 :rule trans :premises (@p103 @p102)) % 0.38/0.59 (step @p105 :rule nary_cong :premises (@p40 @p104) :args (@t62)) % 0.38/0.59 (step @p106 :rule cong :premises (@p105) :args ((forall @t16 @t62))) % 0.38/0.59 (step @p107 :rule bool-impl-elim :args (@t14 @t22)) % 0.38/0.59 (step @p108 :rule cong :premises (@p107) :args (@t23)) % 0.38/0.59 (step @p109 :rule trans :premises (@p108 @p106)) % 0.38/0.59 (step @p110 :rule nary_cong :premises (@p109 @p93) :args (@t24)) % 0.38/0.59 (step @p111 :rule cong :premises (@p110) :args (@t26)) % 0.38/0.59 (step @p112 :rule trans :premises (@p111 @p7)) % 0.38/0.59 (step @p113 :rule cong :premises (@p112) :args (@t28)) % 0.38/0.59 (step @p114 :rule cong :premises (@p113) :args (@t29)) % 0.38/0.59 (step @p115 :rule eq_resolve :premises (@p1 @p114)) % 0.38/0.59 (step @p116 :rule refl :args (@t70)) % 0.38/0.59 (step @p117 :rule bool-double-not-elim :args (@t63)) % 0.38/0.59 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or (not @t71) @t70))) % 0.38/0.59 (step @p119 :rule bool-double-not-elim :args (@t70)) % 0.38/0.59 (step @p120 :rule refl :args (@t71)) % 0.38/0.59 (step @p121 :rule cong :premises (@p120 @p119) :args ((=> @t71 @t72))) % 0.38/0.59 (assume-push @p224 @t71) % 0.38/0.59 (step @p123 :rule skolemize :premises (@p115)) % 0.38/0.59 (step-pop @p225 :rule scope :premises (@p123)) % 0.38/0.59 (step @p124 :rule process_scope :premises (@p225) :args (@t72)) % 0.38/0.59 (step @p126 :rule eq_resolve :premises (@p124 @p121)) % 0.38/0.59 (step @p127 :rule implies_elim :premises (@p126)) % 0.38/0.59 (step @p128 :rule eq_resolve :premises (@p127 @p118)) % 0.38/0.59 (step @p129 :rule chain_m_resolution :premises (@p128 @p115) :args (@t70 (@list true) (@list @t63))) % 0.38/0.59 (step @p130 :rule bool-impl-false1 :args (@t70)) % 0.38/0.59 (step @p131 :rule evaluate :args ((or false false))) % 0.38/0.59 (step @p132 :rule evaluate :args ((not true))) % 0.38/0.59 (step @p133 :rule quant-unused-vars :args ((= (forall @t20 true) true))) % 0.38/0.59 (step @p134 :rule bool-or-taut2 :args (false @t68 false false)) % 0.38/0.59 (step @p135 :rule cong :premises (@p134) :args ((forall @t20 (or @t69 @t68)))) % 0.38/0.59 (step @p136 :rule trans :premises (@p135 @p133)) % 0.38/0.59 (step @p137 :rule bool-double-not-elim :args (@t68)) % 0.38/0.59 (step @p138 :rule aci_norm :args ((= (or @t69 false false) @t69))) % 0.38/0.59 (step @p139 :rule absorb :args ((= (and @t68 false) false))) % 0.38/0.59 (step @p140 :rule eq-refl :args (@t5)) % 0.38/0.59 (step @p141 :rule cong :premises (@p140) :args (@t73)) % 0.38/0.59 (step @p142 :rule trans :premises (@p141 @p132)) % 0.38/0.59 (step @p143 :rule refl :args (@t68)) % 0.38/0.59 (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t74)) % 0.38/0.59 (step @p145 :rule trans :premises (@p144 @p139)) % 0.38/0.59 (step @p146 :rule refl :args (@t69)) % 0.38/0.59 (step @p147 :rule nary_cong :premises (@p146 @p142 @p145) :args (@t75)) % 0.38/0.59 (step @p148 :rule trans :premises (@p147 @p138)) % 0.38/0.59 (step @p149 :rule quant-var-elim-eq :args ((= (forall @t16 @t79) @t75))) % 0.38/0.59 (step @p150 :rule aci_norm :args ((= @t80 @t79))) % 0.38/0.59 (step @p151 :rule cong :premises (@p150) :args ((forall @t16 @t80))) % 0.38/0.59 (step @p152 :rule trans :premises (@p151 @p149)) % 0.38/0.59 (step @p153 :rule trans :premises (@p152 @p148)) % 0.38/0.59 (step @p154 :rule refl :args (@t77)) % 0.38/0.59 (step @p155 :rule bool-double-not-elim :args (@t68)) % 0.38/0.59 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((and (not @t69) @t77))) % 0.38/0.59 (step @p157 :rule bool-or-de-morgan :args (@t69 @t76 false)) % 0.38/0.60 (step @p158 :rule trans :premises (@p157 @p156)) % 0.38/0.60 (step @p159 :rule refl :args (@t67)) % 0.38/0.60 (step @p160 :rule nary_cong :premises (@p159 @p154 @p158) :args (@t82)) % 0.38/0.60 (step @p161 :rule cong :premises (@p160) :args ((forall @t16 @t82))) % 0.38/0.60 (step @p162 :rule trans :premises (@p161 @p153)) % 0.38/0.60 (step @p163 :rule aci_norm :args ((= (or @t69 false @t76) @t81))) % 0.38/0.60 (step @p164 :rule refl :args (@t76)) % 0.38/0.60 (step @p165 :rule nary_cong :premises (@p146 @p142 @p164) :args (@t83)) % 0.38/0.60 (step @p166 :rule trans :premises (@p165 @p163)) % 0.38/0.60 (step @p167 :rule quant-var-elim-eq :args ((= (forall @t11 (or (not (= @t2 @t5)) @t65 @t84 @t35)) @t83))) % 0.38/0.60 (step @p168 :rule refl :args (@t84)) % 0.38/0.60 (step @p169 :rule refl :args (@t65)) % 0.38/0.60 (step @p170 :rule eq-symm :args (@t5 @t2)) % 0.38/0.60 (step @p171 :rule cong :premises (@p170) :args (@t84)) % 0.38/0.60 (step @p172 :rule nary_cong :premises (@p171 @p169 @p168 @p56) :args (@t85)) % 0.38/0.60 (step @p173 :rule aci_norm :args ((= @t86 @t85))) % 0.38/0.60 (step @p174 :rule trans :premises (@p173 @p172)) % 0.38/0.60 (step @p175 :rule cong :premises (@p174) :args ((forall @t11 @t86))) % 0.38/0.60 (step @p176 :rule trans :premises (@p175 @p167)) % 0.38/0.60 (step @p177 :rule trans :premises (@p176 @p166)) % 0.38/0.60 (step @p178 :rule refl :args (@t35)) % 0.38/0.60 (step @p179 :rule beta-reduce :args ((= @t89 @t2))) % 0.38/0.60 (step @p180 :rule refl :args (@t5)) % 0.38/0.60 (step @p181 :rule cong :premises (@p180 @p179) :args (@t90)) % 0.38/0.60 (step @p182 :rule cong :premises (@p181) :args (@t91)) % 0.38/0.60 (step @p183 :rule refl :args (@t65)) % 0.38/0.60 (step @p184 :rule nary_cong :premises (@p183 @p182 @p178) :args (@t92)) % 0.38/0.60 (step @p185 :rule cong :premises (@p184) :args (@t93)) % 0.38/0.60 (step @p186 :rule trans :premises (@p185 @p177)) % 0.38/0.60 (step @p187 :rule cong :premises (@p186) :args (@t94)) % 0.38/0.60 (step @p188 :rule eq-symm :args (@t5 @t1)) % 0.38/0.60 (step @p189 :rule beta-reduce :args ((= @t95 @t1))) % 0.38/0.60 (step @p190 :rule cong :premises (@p180 @p189) :args (@t96)) % 0.38/0.60 (step @p191 :rule trans :premises (@p190 @p188)) % 0.38/0.60 (step @p192 :rule cong :premises (@p191) :args (@t97)) % 0.38/0.60 (step @p193 :rule refl :args (@t67)) % 0.38/0.60 (step @p194 :rule nary_cong :premises (@p193 @p192 @p187) :args (@t98)) % 0.38/0.60 (step @p195 :rule cong :premises (@p194) :args (@t99)) % 0.38/0.60 (step @p196 :rule trans :premises (@p195 @p162)) % 0.38/0.60 (step @p197 :rule cong :premises (@p196) :args (@t100)) % 0.38/0.60 (step @p198 :rule trans :premises (@p197 @p137)) % 0.38/0.60 (step @p199 :rule nary_cong :premises (@p146 @p198) :args (@t101)) % 0.38/0.60 (step @p200 :rule cong :premises (@p199) :args (@t102)) % 0.38/0.60 (step @p201 :rule trans :premises (@p200 @p136)) % 0.38/0.60 (step @p202 :rule cong :premises (@p201) :args (@t103)) % 0.38/0.60 (step @p203 :rule trans :premises (@p202 @p132)) % 0.38/0.60 (step @p204 :rule quant-unused-vars :args ((= (forall @t16 true) true))) % 0.38/0.60 (step @p205 :rule bool-or-taut2 :args (false @t66 false false)) % 0.38/0.60 (step @p206 :rule cong :premises (@p205) :args ((forall @t16 (or @t67 @t66)))) % 0.38/0.60 (step @p207 :rule trans :premises (@p206 @p204)) % 0.38/0.60 (step @p208 :rule cong :premises (@p189) :args (@t104)) % 0.38/0.60 (step @p209 :rule nary_cong :premises (@p193 @p208) :args (@t105)) % 0.38/0.60 (step @p210 :rule cong :premises (@p209) :args (@t106)) % 0.38/0.60 (step @p211 :rule trans :premises (@p210 @p207)) % 0.38/0.60 (step @p212 :rule cong :premises (@p211) :args (@t107)) % 0.38/0.60 (step @p213 :rule trans :premises (@p212 @p132)) % 0.38/0.60 (step @p214 :rule nary_cong :premises (@p213 @p203) :args (@t108)) % 0.38/0.60 (step @p215 :rule trans :premises (@p214 @p131)) % 0.38/0.60 (step @p216 :rule cong :premises (@p116 @p215) :args ((=> @t70 @t108))) % 0.38/0.60 (step @p217 :rule trans :premises (@p216 @p130)) % 0.38/0.60 (assume-push @p226 @t70) % 0.38/0.60 (step @p219 :rule instantiate :premises (@p129) :args ((@list @t88))) % 0.38/0.60 (step-pop @p227 :rule scope :premises (@p219)) % 0.38/0.60 (step @p220 :rule process_scope :premises (@p227) :args (@t108)) % 0.38/0.60 (step @p222 :rule eq_resolve :premises (@p220 @p217)) % 0.38/0.60 (step @p223 false :rule chain_m_resolution :premises (@p222 @p129) :args (false (@list false) (@list @t70))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------