%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV058^5 : 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 : n007.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 0.85s 1.07s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEV058^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n007.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 18:10:11 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.85/1.07 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.85/1.07 % SZS status Theorem % 0.85/1.07 % SZS output start Proof % 0.85/1.07 ( % 0.85/1.07 (declare-sort $$unsorted 0) % 0.85/1.07 (define @t1 () (@var "Xz" (-> $$unsorted Bool))) % 0.85/1.07 (define @t2 () (@var "Xx" (-> $$unsorted Bool))) % 0.85/1.07 (define @t3 () (@var "R" (-> (-> $$unsorted Bool) (-> $$unsorted Bool) Bool))) % 0.85/1.07 (define @t4 () (_ @t3 @t2)) % 0.85/1.07 (define @t5 () (_ @t4 @t1)) % 0.85/1.07 (define @t6 () (@var "Xy" (-> $$unsorted Bool))) % 0.85/1.07 (define @t7 () (_ (_ @t3 @t6) @t1)) % 0.85/1.07 (define @t8 () (_ @t4 @t6)) % 0.85/1.07 (define @t9 () (and @t8 @t7)) % 0.85/1.07 (define @t10 () (@list @t2 @t6 @t1)) % 0.85/1.07 (define @t11 () (forall @t10 (=> @t9 @t5))) % 0.85/1.07 (define @t12 () (_ @t4 @t2)) % 0.85/1.07 (define @t13 () (@list @t2)) % 0.85/1.07 (define @t14 () (forall @t13 @t12)) % 0.85/1.07 (define @t15 () (@var "Xz" $$unsorted)) % 0.85/1.07 (define @t16 () (@var "Xv" (-> $$unsorted Bool))) % 0.85/1.07 (define @t17 () (_ @t16 @t15)) % 0.85/1.07 (define @t18 () (@var "Xu" (-> $$unsorted Bool))) % 0.85/1.07 (define @t19 () (_ @t18 @t15)) % 0.85/1.07 (define @t20 () (@list @t15)) % 0.85/1.07 (define @t21 () (forall @t20 (=> @t19 @t17))) % 0.85/1.07 (define @t22 () (_ (_ @t3 @t18) @t16)) % 0.85/1.07 (define @t23 () (=> @t22 @t21)) % 0.85/1.07 (define @t24 () (@list @t18 @t16)) % 0.85/1.07 (define @t25 () (forall @t24 @t23)) % 0.85/1.07 (define @t26 () (and @t25 @t14 @t11)) % 0.85/1.07 (define @t27 () (@list @t3)) % 0.85/1.07 (define @t28 () (exists @t27 @t26)) % 0.85/1.07 (define @t29 () (not @t28)) % 0.85/1.07 (define @t30 () (_ @t3 @t2 @t1)) % 0.85/1.07 (define @t31 () (_ @t3 @t6 @t1)) % 0.85/1.07 (define @t32 () (_ @t3 @t2 @t6)) % 0.85/1.07 (define @t33 () (forall @t10 (or (not @t32) (not @t31) @t30))) % 0.85/1.07 (define @t34 () (not @t33)) % 0.85/1.07 (define @t35 () (_ @t3 @t2 @t2)) % 0.85/1.07 (define @t36 () (forall @t13 @t35)) % 0.85/1.07 (define @t37 () (not @t36)) % 0.85/1.07 (define @t38 () (@var "BOUND_VARIABLE_7459" $$unsorted)) % 0.85/1.07 (define @t39 () (_ @t16 @t38)) % 0.85/1.07 (define @t40 () (not (_ @t18 @t38))) % 0.85/1.07 (define @t41 () (_ @t3 @t18 @t16)) % 0.85/1.07 (define @t42 () (not @t41)) % 0.85/1.07 (define @t43 () (or @t42 @t40 @t39)) % 0.85/1.07 (define @t44 () (@list @t18 @t16 @t38)) % 0.85/1.07 (define @t45 () (forall @t44 @t43)) % 0.85/1.07 (define @t46 () (not @t45)) % 0.85/1.07 (define @t47 () (or @t46 @t37 @t34)) % 0.85/1.07 (define @t48 () (forall @t27 @t47)) % 0.85/1.07 (define @t49 () (and @t45 @t36 @t33)) % 0.85/1.07 (define @t50 () (forall @t27 (not @t49))) % 0.85/1.07 (define @t51 () (not @t50)) % 0.85/1.07 (define @t52 () (not @t7)) % 0.85/1.07 (define @t53 () (not @t8)) % 0.85/1.07 (define @t54 () (or @t53 @t52 @t5)) % 0.85/1.07 (define @t55 () (or @t40 @t39)) % 0.85/1.07 (define @t56 () (or @t42 @t55)) % 0.85/1.07 (define @t57 () (forall @t44 @t56)) % 0.85/1.07 (define @t58 () (@list @t38)) % 0.85/1.07 (define @t59 () (forall @t58 @t56)) % 0.85/1.07 (define @t60 () (forall @t58 @t55)) % 0.85/1.07 (define @t61 () (or @t42 @t60)) % 0.85/1.07 (define @t62 () (_ @t16 @t15)) % 0.85/1.07 (define @t63 () (_ @t18 @t15)) % 0.85/1.07 (define @t64 () (forall @t20 (or (not @t63) @t62))) % 0.85/1.07 (define @t65 () (not @t22)) % 0.85/1.07 (define @t66 () (or @t65 @t64)) % 0.85/1.07 (define @t67 () (not @t19)) % 0.85/1.07 (define @t68 () (or @t67 @t17)) % 0.85/1.07 (define @t69 () (@list @t6 @t1)) % 0.85/1.07 (define @t70 () (= @t6 @t1)) % 0.85/1.07 (define @t71 () (not @t70)) % 0.85/1.07 (define @t72 () (or @t71 @t70)) % 0.85/1.07 (define @t73 () (not (= @t6 @t6))) % 0.85/1.07 (define @t74 () (or @t73 @t71 @t70)) % 0.85/1.07 (define @t75 () (= @t2 @t1)) % 0.85/1.07 (define @t76 () (= @t2 @t6)) % 0.85/1.07 (define @t77 () (not @t76)) % 0.85/1.07 (define @t78 () (or @t77 @t77 @t71 @t75)) % 0.85/1.07 (define @t79 () (or @t77 @t71 @t75)) % 0.85/1.07 (define @t80 () (forall @t13 @t79)) % 0.85/1.07 (define @t81 () (forall @t69 @t80)) % 0.85/1.07 (define @t82 () (forall (@list @t6 @t1 @t2) @t79)) % 0.85/1.07 (define @t83 () (@var "BOUND_VARIABLE_83453" (-> $$unsorted Bool))) % 0.85/1.07 (define @t84 () (@var "BOUND_VARIABLE_83452" (-> $$unsorted Bool))) % 0.85/1.07 (define @t85 () (lambda (@list @t84 @t83) (= @t84 @t83))) % 0.85/1.07 (define @t86 () (_ @t85 @t2 @t1)) % 0.85/1.07 (define @t87 () (_ @t85 @t6 @t1)) % 0.85/1.07 (define @t88 () (not @t87)) % 0.85/1.07 (define @t89 () (_ @t85 @t2 @t6)) % 0.85/1.07 (define @t90 () (not @t89)) % 0.85/1.07 (define @t91 () (or @t90 @t88 @t86)) % 0.85/1.07 (define @t92 () (forall @t10 @t91)) % 0.85/1.07 (define @t93 () (not @t92)) % 0.85/1.07 (define @t94 () (_ @t85 @t2 @t2)) % 0.85/1.07 (define @t95 () (forall @t13 @t94)) % 0.85/1.07 (define @t96 () (not @t95)) % 0.85/1.07 (define @t97 () (@list @t16 @t38)) % 0.85/1.07 (define @t98 () (not @t39)) % 0.85/1.07 (define @t99 () (or @t98 @t39)) % 0.85/1.07 (define @t100 () (not (= @t16 @t16))) % 0.85/1.07 (define @t101 () (or @t100 @t98 @t39)) % 0.85/1.07 (define @t102 () (= @t18 @t16)) % 0.85/1.07 (define @t103 () (not @t102)) % 0.85/1.07 (define @t104 () (or @t103 @t103 @t40 @t39)) % 0.85/1.07 (define @t105 () (@list @t18)) % 0.85/1.07 (define @t106 () (or @t103 @t40 @t39)) % 0.85/1.07 (define @t107 () (forall @t105 @t106)) % 0.85/1.07 (define @t108 () (forall @t97 @t107)) % 0.85/1.07 (define @t109 () (forall (@list @t16 @t38 @t18) @t106)) % 0.85/1.07 (define @t110 () (_ @t85 @t18 @t16)) % 0.85/1.07 (define @t111 () (not @t110)) % 0.85/1.07 (define @t112 () (or @t111 @t40 @t39)) % 0.85/1.07 (define @t113 () (forall @t44 @t112)) % 0.85/1.07 (define @t114 () (not @t113)) % 0.85/1.07 (define @t115 () (or @t114 @t96 @t93)) % 0.85/1.07 (assume @p1 @t29) % 0.85/1.07 (assume @p2 true) % 0.85/1.07 (step @p3 :rule bool-double-not-elim :args (@t48)) % 0.85/1.07 (step @p4 :rule aci_norm :args ((= (or @t46 (or @t37 @t34)) @t47))) % 0.85/1.07 (step @p5 :rule bool-and-de-morgan :args (@t36 @t33 true)) % 0.85/1.07 (step @p6 :rule refl :args (@t46)) % 0.85/1.07 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or @t46 (not (and @t36 @t33))))) % 0.85/1.07 (step @p8 :rule bool-and-de-morgan :args (@t45 @t36 (and @t33))) % 0.85/1.07 (step @p9 :rule trans :premises (@p8 @p7)) % 0.85/1.07 (step @p10 :rule trans :premises (@p9 @p4)) % 0.85/1.07 (step @p11 :rule cong :premises (@p10) :args (@t50)) % 0.85/1.07 (step @p12 :rule cong :premises (@p11) :args (@t51)) % 0.85/1.07 (step @p13 :rule exists-elim :args ((= (exists @t27 @t49) @t51))) % 0.85/1.07 (step @p14 :rule trans :premises (@p13 @p12)) % 0.85/1.07 (step @p15 :rule refl :args (@t30)) % 0.85/1.07 (step @p16 :rule refl :args (@t5)) % 0.85/1.07 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t5 @t30))) % 0.85/1.07 (step @p18 :rule symm :premises (@p17)) % 0.85/1.07 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.85/1.07 (step @p20 :rule refl :args (@t31)) % 0.85/1.07 (step @p21 :rule refl :args (@t7)) % 0.85/1.07 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t7 @t31))) % 0.85/1.07 (step @p23 :rule symm :premises (@p22)) % 0.85/1.07 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.85/1.07 (step @p25 :rule cong :premises (@p24) :args (@t52)) % 0.85/1.07 (step @p26 :rule refl :args (@t32)) % 0.85/1.07 (step @p27 :rule refl :args (@t8)) % 0.85/1.07 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t8 @t32))) % 0.85/1.07 (step @p29 :rule symm :premises (@p28)) % 0.85/1.07 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.85/1.07 (step @p31 :rule cong :premises (@p30) :args (@t53)) % 0.85/1.07 (step @p32 :rule nary_cong :premises (@p31 @p25 @p19) :args (@t54)) % 0.85/1.07 (step @p33 :rule cong :premises (@p32) :args ((forall @t10 @t54))) % 0.85/1.07 (step @p34 :rule aci_norm :args ((= (or (or @t53 @t52) @t5) @t54))) % 0.85/1.07 (step @p35 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 0.85/1.07 (step @p36 :rule nary_cong :premises (@p35 @p16) :args ((or (not @t9) @t5))) % 0.85/1.07 (step @p37 :rule trans :premises (@p36 @p34)) % 0.85/1.07 (step @p38 :rule bool-impl-elim :args (@t9 @t5)) % 0.85/1.07 (step @p39 :rule trans :premises (@p38 @p37)) % 0.85/1.07 (step @p40 :rule cong :premises (@p39) :args (@t11)) % 0.85/1.07 (step @p41 :rule trans :premises (@p40 @p33)) % 0.85/1.07 (step @p42 :rule refl :args (@t35)) % 0.85/1.07 (step @p43 :rule refl :args (@t12)) % 0.85/1.07 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t12 @t35))) % 0.85/1.07 (step @p45 :rule symm :premises (@p44)) % 0.85/1.07 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.85/1.07 (step @p47 :rule cong :premises (@p46) :args (@t14)) % 0.85/1.07 (step @p48 :rule aci_norm :args ((= @t56 @t43))) % 0.85/1.07 (step @p49 :rule cong :premises (@p48) :args (@t57)) % 0.85/1.07 (step @p50 :rule quant-merge-prenex :args ((= (forall @t24 @t59) @t57))) % 0.85/1.07 (step @p51 :rule alpha_equiv :args (@t60 (@list @t38) (@list @t15))) % 0.85/1.07 (step @p52 :rule refl :args (@t42)) % 0.85/1.07 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t61)) % 0.85/1.07 (step @p54 :rule quant-miniscope-or :args ((= @t59 @t61))) % 0.85/1.07 (step @p55 :rule trans :premises (@p54 @p53)) % 0.85/1.07 (step @p56 :rule symm :premises (@p55)) % 0.85/1.07 (step @p57 :rule cong :premises (@p56) :args ((forall @t24 (or @t42 @t64)))) % 0.85/1.07 (step @p58 :rule trans :premises (@p57 @p50)) % 0.85/1.07 (step @p59 :rule trans :premises (@p58 @p49)) % 0.85/1.07 (step @p60 :rule refl :args (@t64)) % 0.85/1.07 (step @p61 :rule refl :args (@t41)) % 0.85/1.07 (step @p62 :rule refl :args (@t22)) % 0.85/1.07 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t22 @t41))) % 0.85/1.07 (step @p64 :rule symm :premises (@p63)) % 0.85/1.07 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.85/1.07 (step @p66 :rule cong :premises (@p65) :args (@t65)) % 0.85/1.07 (step @p67 :rule nary_cong :premises (@p66 @p60) :args (@t66)) % 0.85/1.07 (step @p68 :rule cong :premises (@p67) :args ((forall @t24 @t66))) % 0.85/1.07 (step @p69 :rule trans :premises (@p68 @p59)) % 0.85/1.07 (step @p70 :rule bool-impl-elim :args (@t22 @t64)) % 0.85/1.07 (step @p71 :rule cong :premises (@p70) :args ((forall @t24 (=> @t22 @t64)))) % 0.85/1.07 (step @p72 :rule trans :premises (@p71 @p69)) % 0.85/1.07 (step @p73 :rule refl :args (@t62)) % 0.85/1.07 (step @p74 :rule refl :args (@t17)) % 0.85/1.07 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t17 @t62))) % 0.85/1.07 (step @p76 :rule symm :premises (@p75)) % 0.85/1.07 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 0.85/1.07 (step @p78 :rule refl :args (@t63)) % 0.85/1.07 (step @p79 :rule refl :args (@t19)) % 0.85/1.07 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t19 @t63))) % 0.85/1.07 (step @p81 :rule symm :premises (@p80)) % 0.85/1.07 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.85/1.07 (step @p83 :rule cong :premises (@p82) :args (@t67)) % 0.85/1.07 (step @p84 :rule nary_cong :premises (@p83 @p77) :args (@t68)) % 0.85/1.07 (step @p85 :rule cong :premises (@p84) :args ((forall @t20 @t68))) % 0.85/1.07 (step @p86 :rule bool-impl-elim :args (@t19 @t17)) % 0.85/1.07 (step @p87 :rule cong :premises (@p86) :args (@t21)) % 0.85/1.07 (step @p88 :rule trans :premises (@p87 @p85)) % 0.85/1.07 (step @p89 :rule refl :args (@t22)) % 0.85/1.07 (step @p90 :rule cong :premises (@p89 @p88) :args (@t23)) % 0.85/1.07 (step @p91 :rule cong :premises (@p90) :args (@t25)) % 0.85/1.07 (step @p92 :rule trans :premises (@p91 @p72)) % 0.85/1.07 (step @p93 :rule nary_cong :premises (@p92 @p47 @p41) :args (@t26)) % 0.85/1.07 (step @p94 :rule cong :premises (@p93) :args (@t28)) % 0.85/1.07 (step @p95 :rule trans :premises (@p94 @p14)) % 0.85/1.07 (step @p96 :rule cong :premises (@p95) :args (@t29)) % 0.85/1.07 (step @p97 :rule trans :premises (@p96 @p3)) % 0.85/1.07 (step @p98 :rule eq_resolve :premises (@p1 @p97)) % 0.85/1.07 (step @p99 :rule bool-impl-false1 :args (@t48)) % 0.85/1.07 (step @p100 :rule evaluate :args ((or false false false))) % 0.85/1.07 (step @p101 :rule evaluate :args ((not true))) % 0.85/1.07 (step @p102 :rule quant-unused-vars :args ((= (forall @t69 true) true))) % 0.85/1.07 (step @p103 :rule bool-or-taut2 :args (false @t70 false false)) % 0.85/1.07 (step @p104 :rule cong :premises (@p103) :args ((forall @t69 @t72))) % 0.85/1.07 (step @p105 :rule trans :premises (@p104 @p102)) % 0.85/1.07 (step @p106 :rule aci_norm :args ((= (or false @t71 @t70) @t72))) % 0.85/1.07 (step @p107 :rule refl :args (@t70)) % 0.85/1.07 (step @p108 :rule refl :args (@t71)) % 0.85/1.07 (step @p109 :rule eq-refl :args (@t6)) % 0.85/1.07 (step @p110 :rule cong :premises (@p109) :args (@t73)) % 0.85/1.07 (step @p111 :rule trans :premises (@p110 @p101)) % 0.85/1.07 (step @p112 :rule nary_cong :premises (@p111 @p108 @p107) :args (@t74)) % 0.85/1.07 (step @p113 :rule trans :premises (@p112 @p106)) % 0.85/1.07 (step @p114 :rule cong :premises (@p113) :args ((forall @t69 @t74))) % 0.85/1.07 (step @p115 :rule trans :premises (@p114 @p105)) % 0.85/1.07 (step @p116 :rule quant-var-elim-eq :args ((= (forall @t13 @t78) @t74))) % 0.85/1.07 (step @p117 :rule aci_norm :args ((= @t79 @t78))) % 0.85/1.07 (step @p118 :rule cong :premises (@p117) :args (@t80)) % 0.85/1.07 (step @p119 :rule trans :premises (@p118 @p116)) % 0.85/1.07 (step @p120 :rule cong :premises (@p119) :args (@t81)) % 0.85/1.07 (step @p121 :rule quant-merge-prenex :args ((= @t81 @t82))) % 0.85/1.07 (step @p122 :rule symm :premises (@p121)) % 0.85/1.07 (step @p123 :rule quant_var_reordering :args ((= (forall @t10 @t79) @t82))) % 0.85/1.07 (step @p124 :rule trans :premises (@p123 @p122 @p120)) % 0.85/1.07 (step @p125 :rule trans :premises (@p124 @p115)) % 0.85/1.07 (step @p126 :rule beta-reduce :args ((= @t86 @t75))) % 0.85/1.07 (step @p127 :rule beta-reduce :args ((= @t87 @t70))) % 0.85/1.07 (step @p128 :rule cong :premises (@p127) :args (@t88)) % 0.85/1.07 (step @p129 :rule beta-reduce :args ((= @t89 @t76))) % 0.85/1.07 (step @p130 :rule cong :premises (@p129) :args (@t90)) % 0.85/1.07 (step @p131 :rule nary_cong :premises (@p130 @p128 @p126) :args (@t91)) % 0.85/1.07 (step @p132 :rule cong :premises (@p131) :args (@t92)) % 0.85/1.07 (step @p133 :rule trans :premises (@p132 @p125)) % 0.85/1.07 (step @p134 :rule cong :premises (@p133) :args (@t93)) % 0.85/1.07 (step @p135 :rule trans :premises (@p134 @p101)) % 0.85/1.07 (step @p136 :rule quant-unused-vars :args ((= (forall @t13 true) true))) % 0.85/1.07 (step @p137 :rule eq-refl :args (@t2)) % 0.85/1.07 (step @p138 :rule beta-reduce :args ((= @t94 (= @t2 @t2)))) % 0.85/1.07 (step @p139 :rule trans :premises (@p138 @p137)) % 0.85/1.07 (step @p140 :rule cong :premises (@p139) :args (@t95)) % 0.85/1.07 (step @p141 :rule trans :premises (@p140 @p136)) % 0.85/1.07 (step @p142 :rule cong :premises (@p141) :args (@t96)) % 0.85/1.07 (step @p143 :rule trans :premises (@p142 @p101)) % 0.85/1.07 (step @p144 :rule quant-unused-vars :args ((= (forall @t97 true) true))) % 0.85/1.07 (step @p145 :rule bool-or-taut2 :args (false @t39 false false)) % 0.85/1.07 (step @p146 :rule cong :premises (@p145) :args ((forall @t97 @t99))) % 0.85/1.07 (step @p147 :rule trans :premises (@p146 @p144)) % 0.85/1.07 (step @p148 :rule aci_norm :args ((= (or false @t98 @t39) @t99))) % 0.85/1.07 (step @p149 :rule refl :args (@t39)) % 0.85/1.07 (step @p150 :rule refl :args (@t98)) % 0.85/1.07 (step @p151 :rule eq-refl :args (@t16)) % 0.85/1.08 (step @p152 :rule cong :premises (@p151) :args (@t100)) % 0.85/1.08 (step @p153 :rule trans :premises (@p152 @p101)) % 0.85/1.08 (step @p154 :rule nary_cong :premises (@p153 @p150 @p149) :args (@t101)) % 0.85/1.08 (step @p155 :rule trans :premises (@p154 @p148)) % 0.85/1.08 (step @p156 :rule cong :premises (@p155) :args ((forall @t97 @t101))) % 0.85/1.08 (step @p157 :rule trans :premises (@p156 @p147)) % 0.85/1.08 (step @p158 :rule quant-var-elim-eq :args ((= (forall @t105 @t104) @t101))) % 0.85/1.08 (step @p159 :rule aci_norm :args ((= @t106 @t104))) % 0.85/1.08 (step @p160 :rule cong :premises (@p159) :args (@t107)) % 0.85/1.08 (step @p161 :rule trans :premises (@p160 @p158)) % 0.85/1.08 (step @p162 :rule cong :premises (@p161) :args (@t108)) % 0.85/1.08 (step @p163 :rule quant-merge-prenex :args ((= @t108 @t109))) % 0.85/1.08 (step @p164 :rule symm :premises (@p163)) % 0.85/1.08 (step @p165 :rule quant_var_reordering :args ((= (forall @t44 @t106) @t109))) % 0.85/1.08 (step @p166 :rule trans :premises (@p165 @p164 @p162)) % 0.85/1.08 (step @p167 :rule trans :premises (@p166 @p157)) % 0.85/1.08 (step @p168 :rule refl :args (@t40)) % 0.85/1.08 (step @p169 :rule beta-reduce :args ((= @t110 @t102))) % 0.85/1.08 (step @p170 :rule cong :premises (@p169) :args (@t111)) % 0.85/1.08 (step @p171 :rule nary_cong :premises (@p170 @p168 @p149) :args (@t112)) % 0.85/1.08 (step @p172 :rule cong :premises (@p171) :args (@t113)) % 0.85/1.08 (step @p173 :rule trans :premises (@p172 @p167)) % 0.85/1.08 (step @p174 :rule cong :premises (@p173) :args (@t114)) % 0.85/1.08 (step @p175 :rule trans :premises (@p174 @p101)) % 0.85/1.08 (step @p176 :rule nary_cong :premises (@p175 @p143 @p135) :args (@t115)) % 0.85/1.08 (step @p177 :rule trans :premises (@p176 @p100)) % 0.85/1.08 (step @p178 :rule refl :args (@t48)) % 0.85/1.08 (step @p179 :rule cong :premises (@p178 @p177) :args ((=> @t48 @t115))) % 0.85/1.08 (step @p180 :rule trans :premises (@p179 @p99)) % 0.85/1.08 (assume-push @p187 @t48) % 0.85/1.08 (step @p182 :rule instantiate :premises (@p98) :args ((@list @t85))) % 0.85/1.08 (step-pop @p188 :rule scope :premises (@p182)) % 0.85/1.08 (step @p183 :rule process_scope :premises (@p188) :args (@t115)) % 0.85/1.08 (step @p185 :rule eq_resolve :premises (@p183 @p180)) % 0.85/1.08 (step @p186 false :rule chain_m_resolution :premises (@p185 @p98) :args (false (@list false) (@list @t48))) % 0.85/1.08 ) % 0.85/1.08 % SZS output end Proof % 0.85/1.08 % cvc5 exiting %------------------------------------------------------------------------------