%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV158^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:55:32 AM UTC 2026 % Result : Theorem 0.72s 1.02s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV158^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.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 18:17:09 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.72/1.02 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.72/1.02 % SZS status Theorem % 0.72/1.02 % SZS output start Proof % 0.72/1.02 ( % 0.72/1.02 (declare-sort $$unsorted 0) % 0.72/1.02 (define @t1 () (@var "Xx" $$unsorted)) % 0.72/1.02 (define @t2 () (@var "Y" (-> $$unsorted Bool))) % 0.72/1.02 (define @t3 () (_ @t2 @t1)) % 0.72/1.02 (define @t4 () (@var "X" (-> $$unsorted Bool))) % 0.72/1.02 (define @t5 () (_ @t4 @t1)) % 0.72/1.02 (define @t6 () (= @t5 @t3)) % 0.72/1.02 (define @t7 () (@list @t1)) % 0.72/1.02 (define @t8 () (forall @t7 @t6)) % 0.72/1.02 (define @t9 () (@var "R" (-> (-> $$unsorted Bool) (-> $$unsorted Bool) Bool))) % 0.72/1.02 (define @t10 () (_ (_ @t9 @t2) @t4)) % 0.72/1.02 (define @t11 () (_ (_ @t9 @t4) @t2)) % 0.72/1.02 (define @t12 () (and @t11 @t10)) % 0.72/1.02 (define @t13 () (=> @t12 @t8)) % 0.72/1.02 (define @t14 () (@list @t4 @t2)) % 0.72/1.02 (define @t15 () (forall @t14 @t13)) % 0.72/1.02 (define @t16 () (@var "Xz" (-> $$unsorted Bool))) % 0.72/1.02 (define @t17 () (@var "Xx" (-> $$unsorted Bool))) % 0.72/1.02 (define @t18 () (_ @t9 @t17)) % 0.72/1.02 (define @t19 () (_ @t18 @t16)) % 0.72/1.02 (define @t20 () (@var "Xy" (-> $$unsorted Bool))) % 0.72/1.02 (define @t21 () (_ (_ @t9 @t20) @t16)) % 0.72/1.02 (define @t22 () (_ @t18 @t20)) % 0.72/1.02 (define @t23 () (and @t22 @t21)) % 0.72/1.02 (define @t24 () (@list @t17 @t20 @t16)) % 0.72/1.02 (define @t25 () (forall @t24 (=> @t23 @t19))) % 0.72/1.02 (define @t26 () (_ @t18 @t17)) % 0.72/1.02 (define @t27 () (@list @t17)) % 0.72/1.02 (define @t28 () (forall @t27 @t26)) % 0.72/1.02 (define @t29 () (and @t28 @t25 @t15)) % 0.72/1.02 (define @t30 () (@list @t9)) % 0.72/1.02 (define @t31 () (exists @t30 @t29)) % 0.72/1.02 (define @t32 () (not @t31)) % 0.72/1.02 (define @t33 () (@var "BOUND_VARIABLE_7478" $$unsorted)) % 0.72/1.02 (define @t34 () (_ @t2 @t33)) % 0.72/1.02 (define @t35 () (= (_ @t4 @t33) @t34)) % 0.72/1.02 (define @t36 () (_ @t9 @t2 @t4)) % 0.72/1.02 (define @t37 () (not @t36)) % 0.72/1.02 (define @t38 () (_ @t9 @t4 @t2)) % 0.72/1.02 (define @t39 () (not @t38)) % 0.72/1.02 (define @t40 () (or @t39 @t37 @t35)) % 0.72/1.02 (define @t41 () (@list @t4 @t2 @t33)) % 0.72/1.02 (define @t42 () (forall @t41 @t40)) % 0.72/1.02 (define @t43 () (not @t42)) % 0.72/1.02 (define @t44 () (_ @t9 @t17 @t16)) % 0.72/1.02 (define @t45 () (_ @t9 @t20 @t16)) % 0.72/1.02 (define @t46 () (_ @t9 @t17 @t20)) % 0.72/1.02 (define @t47 () (forall @t24 (or (not @t46) (not @t45) @t44))) % 0.72/1.02 (define @t48 () (not @t47)) % 0.72/1.02 (define @t49 () (_ @t9 @t17 @t17)) % 0.72/1.02 (define @t50 () (forall @t27 @t49)) % 0.72/1.02 (define @t51 () (not @t50)) % 0.72/1.02 (define @t52 () (or @t51 @t48 @t43)) % 0.72/1.02 (define @t53 () (forall @t30 @t52)) % 0.72/1.02 (define @t54 () (and @t50 @t47 @t42)) % 0.72/1.02 (define @t55 () (forall @t30 (not @t54))) % 0.72/1.02 (define @t56 () (not @t55)) % 0.72/1.02 (define @t57 () (@list @t33)) % 0.72/1.02 (define @t58 () (forall @t57 @t40)) % 0.72/1.02 (define @t59 () (forall @t57 @t35)) % 0.72/1.02 (define @t60 () (or @t39 @t37 @t59)) % 0.72/1.02 (define @t61 () (_ @t2 @t1)) % 0.72/1.02 (define @t62 () (_ @t4 @t1)) % 0.72/1.02 (define @t63 () (forall @t7 (= @t62 @t61))) % 0.72/1.02 (define @t64 () (not @t10)) % 0.72/1.02 (define @t65 () (not @t11)) % 0.72/1.02 (define @t66 () (or @t65 @t64 @t63)) % 0.72/1.02 (define @t67 () (not @t21)) % 0.72/1.02 (define @t68 () (not @t22)) % 0.72/1.02 (define @t69 () (or @t68 @t67 @t19)) % 0.72/1.02 (define @t70 () (@list @t2 @t33)) % 0.72/1.02 (define @t71 () (not (= @t2 @t2))) % 0.72/1.02 (define @t72 () (or @t71 (= @t34 @t34))) % 0.72/1.02 (define @t73 () (= @t4 @t2)) % 0.72/1.02 (define @t74 () (not @t73)) % 0.72/1.02 (define @t75 () (or @t74 @t74 @t35)) % 0.72/1.02 (define @t76 () (@list @t4)) % 0.72/1.02 (define @t77 () (or @t74 @t35)) % 0.72/1.02 (define @t78 () (forall @t76 @t77)) % 0.72/1.02 (define @t79 () (forall @t70 @t78)) % 0.72/1.02 (define @t80 () (forall (@list @t2 @t33 @t4) @t77)) % 0.72/1.02 (define @t81 () (@var "BOUND_VARIABLE_81978" (-> $$unsorted Bool))) % 0.72/1.02 (define @t82 () (@var "BOUND_VARIABLE_81977" (-> $$unsorted Bool))) % 0.72/1.02 (define @t83 () (lambda (@list @t82 @t81) (= @t82 @t81))) % 0.72/1.02 (define @t84 () (_ @t83 @t2 @t4)) % 0.72/1.02 (define @t85 () (not @t84)) % 0.72/1.02 (define @t86 () (_ @t83 @t4 @t2)) % 0.72/1.02 (define @t87 () (not @t86)) % 0.72/1.02 (define @t88 () (or @t87 @t85 @t35)) % 0.72/1.02 (define @t89 () (forall @t41 @t88)) % 0.72/1.02 (define @t90 () (not @t89)) % 0.72/1.02 (define @t91 () (@list @t20 @t16)) % 0.72/1.02 (define @t92 () (= @t20 @t16)) % 0.72/1.02 (define @t93 () (not @t92)) % 0.72/1.02 (define @t94 () (or @t93 @t92)) % 0.72/1.02 (define @t95 () (not (= @t20 @t20))) % 0.72/1.02 (define @t96 () (or @t95 @t93 @t92)) % 0.72/1.02 (define @t97 () (= @t17 @t16)) % 0.72/1.02 (define @t98 () (= @t17 @t20)) % 0.72/1.02 (define @t99 () (not @t98)) % 0.72/1.02 (define @t100 () (or @t99 @t99 @t93 @t97)) % 0.72/1.02 (define @t101 () (or @t99 @t93 @t97)) % 0.72/1.02 (define @t102 () (forall @t27 @t101)) % 0.72/1.02 (define @t103 () (forall @t91 @t102)) % 0.72/1.02 (define @t104 () (forall (@list @t20 @t16 @t17) @t101)) % 0.72/1.02 (define @t105 () (_ @t83 @t17 @t16)) % 0.72/1.02 (define @t106 () (_ @t83 @t20 @t16)) % 0.72/1.02 (define @t107 () (not @t106)) % 0.72/1.02 (define @t108 () (_ @t83 @t17 @t20)) % 0.72/1.02 (define @t109 () (not @t108)) % 0.72/1.02 (define @t110 () (or @t109 @t107 @t105)) % 0.72/1.02 (define @t111 () (forall @t24 @t110)) % 0.72/1.02 (define @t112 () (not @t111)) % 0.72/1.02 (define @t113 () (_ @t83 @t17 @t17)) % 0.72/1.02 (define @t114 () (forall @t27 @t113)) % 0.72/1.02 (define @t115 () (not @t114)) % 0.72/1.02 (define @t116 () (or @t115 @t112 @t90)) % 0.72/1.02 (assume @p1 @t32) % 0.72/1.02 (assume @p2 true) % 0.72/1.02 (step @p3 :rule bool-double-not-elim :args (@t53)) % 0.72/1.02 (step @p4 :rule aci_norm :args ((= (or @t51 (or @t48 @t43)) @t52))) % 0.72/1.02 (step @p5 :rule bool-and-de-morgan :args (@t47 @t42 true)) % 0.72/1.02 (step @p6 :rule refl :args (@t51)) % 0.72/1.02 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or @t51 (not (and @t47 @t42))))) % 0.72/1.02 (step @p8 :rule bool-and-de-morgan :args (@t50 @t47 (and @t42))) % 0.72/1.02 (step @p9 :rule trans :premises (@p8 @p7)) % 0.72/1.02 (step @p10 :rule trans :premises (@p9 @p4)) % 0.72/1.02 (step @p11 :rule cong :premises (@p10) :args (@t55)) % 0.72/1.02 (step @p12 :rule cong :premises (@p11) :args (@t56)) % 0.72/1.02 (step @p13 :rule exists-elim :args ((= (exists @t30 @t54) @t56))) % 0.72/1.02 (step @p14 :rule trans :premises (@p13 @p12)) % 0.72/1.02 (step @p15 :rule quant-merge-prenex :args ((= (forall @t14 @t58) @t42))) % 0.72/1.02 (step @p16 :rule alpha_equiv :args (@t59 (@list @t33) (@list @t1))) % 0.72/1.02 (step @p17 :rule refl :args (@t37)) % 0.72/1.02 (step @p18 :rule refl :args (@t39)) % 0.72/1.02 (step @p19 :rule nary_cong :premises (@p18 @p17 @p16) :args (@t60)) % 0.72/1.02 (step @p20 :rule quant-miniscope-or :args ((= @t58 @t60))) % 0.72/1.02 (step @p21 :rule trans :premises (@p20 @p19)) % 0.72/1.02 (step @p22 :rule symm :premises (@p21)) % 0.72/1.02 (step @p23 :rule cong :premises (@p22) :args ((forall @t14 (or @t39 @t37 @t63)))) % 0.72/1.02 (step @p24 :rule trans :premises (@p23 @p15)) % 0.72/1.02 (step @p25 :rule refl :args (@t63)) % 0.72/1.02 (step @p26 :rule refl :args (@t36)) % 0.72/1.02 (step @p27 :rule refl :args (@t10)) % 0.72/1.02 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t10 @t36))) % 0.72/1.02 (step @p29 :rule symm :premises (@p28)) % 0.72/1.02 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.72/1.02 (step @p31 :rule cong :premises (@p30) :args (@t64)) % 0.72/1.02 (step @p32 :rule refl :args (@t38)) % 0.72/1.02 (step @p33 :rule refl :args (@t11)) % 0.72/1.02 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t11 @t38))) % 0.72/1.02 (step @p35 :rule symm :premises (@p34)) % 0.72/1.02 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.72/1.02 (step @p37 :rule cong :premises (@p36) :args (@t65)) % 0.72/1.02 (step @p38 :rule nary_cong :premises (@p37 @p31 @p25) :args (@t66)) % 0.72/1.02 (step @p39 :rule cong :premises (@p38) :args ((forall @t14 @t66))) % 0.72/1.02 (step @p40 :rule trans :premises (@p39 @p24)) % 0.72/1.02 (step @p41 :rule aci_norm :args ((= (or (or @t65 @t64) @t63) @t66))) % 0.72/1.02 (step @p42 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.72/1.02 (step @p43 :rule nary_cong :premises (@p42 @p25) :args ((or (not @t12) @t63))) % 0.72/1.02 (step @p44 :rule trans :premises (@p43 @p41)) % 0.72/1.02 (step @p45 :rule bool-impl-elim :args (@t12 @t63)) % 0.72/1.02 (step @p46 :rule trans :premises (@p45 @p44)) % 0.72/1.02 (step @p47 :rule cong :premises (@p46) :args ((forall @t14 (=> @t12 @t63)))) % 0.72/1.02 (step @p48 :rule trans :premises (@p47 @p40)) % 0.72/1.02 (step @p49 :rule refl :args (@t61)) % 0.72/1.02 (step @p50 :rule refl :args (@t3)) % 0.72/1.02 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t3 @t61))) % 0.72/1.02 (step @p52 :rule symm :premises (@p51)) % 0.72/1.02 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.72/1.02 (step @p54 :rule refl :args (@t62)) % 0.72/1.02 (step @p55 :rule refl :args (@t5)) % 0.72/1.02 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t5 @t62))) % 0.72/1.02 (step @p57 :rule symm :premises (@p56)) % 0.72/1.02 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.72/1.02 (step @p59 :rule cong :premises (@p58 @p53) :args (@t6)) % 0.72/1.02 (step @p60 :rule cong :premises (@p59) :args (@t8)) % 0.72/1.02 (step @p61 :rule refl :args (@t12)) % 0.72/1.02 (step @p62 :rule cong :premises (@p61 @p60) :args (@t13)) % 0.72/1.02 (step @p63 :rule cong :premises (@p62) :args (@t15)) % 0.72/1.02 (step @p64 :rule trans :premises (@p63 @p48)) % 0.72/1.02 (step @p65 :rule refl :args (@t44)) % 0.72/1.02 (step @p66 :rule refl :args (@t19)) % 0.72/1.02 (step @p67 :rule cong :premises (@p66 @p65) :args ((= @t19 @t44))) % 0.72/1.02 (step @p68 :rule symm :premises (@p67)) % 0.72/1.02 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 0.72/1.02 (step @p70 :rule refl :args (@t45)) % 0.72/1.02 (step @p71 :rule refl :args (@t21)) % 0.72/1.02 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t21 @t45))) % 0.72/1.02 (step @p73 :rule symm :premises (@p72)) % 0.72/1.02 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.72/1.02 (step @p75 :rule cong :premises (@p74) :args (@t67)) % 0.72/1.02 (step @p76 :rule refl :args (@t46)) % 0.72/1.02 (step @p77 :rule refl :args (@t22)) % 0.72/1.02 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t22 @t46))) % 0.72/1.02 (step @p79 :rule symm :premises (@p78)) % 0.72/1.02 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.72/1.02 (step @p81 :rule cong :premises (@p80) :args (@t68)) % 0.72/1.02 (step @p82 :rule nary_cong :premises (@p81 @p75 @p69) :args (@t69)) % 0.72/1.02 (step @p83 :rule cong :premises (@p82) :args ((forall @t24 @t69))) % 0.72/1.02 (step @p84 :rule aci_norm :args ((= (or (or @t68 @t67) @t19) @t69))) % 0.72/1.02 (step @p85 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.72/1.02 (step @p86 :rule nary_cong :premises (@p85 @p66) :args ((or (not @t23) @t19))) % 0.72/1.02 (step @p87 :rule trans :premises (@p86 @p84)) % 0.72/1.02 (step @p88 :rule bool-impl-elim :args (@t23 @t19)) % 0.72/1.02 (step @p89 :rule trans :premises (@p88 @p87)) % 0.72/1.02 (step @p90 :rule cong :premises (@p89) :args (@t25)) % 0.72/1.02 (step @p91 :rule trans :premises (@p90 @p83)) % 0.72/1.02 (step @p92 :rule refl :args (@t49)) % 0.72/1.02 (step @p93 :rule refl :args (@t26)) % 0.72/1.02 (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t26 @t49))) % 0.72/1.02 (step @p95 :rule symm :premises (@p94)) % 0.72/1.02 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 0.72/1.02 (step @p97 :rule cong :premises (@p96) :args (@t28)) % 0.72/1.02 (step @p98 :rule nary_cong :premises (@p97 @p91 @p64) :args (@t29)) % 0.72/1.02 (step @p99 :rule cong :premises (@p98) :args (@t31)) % 0.72/1.02 (step @p100 :rule trans :premises (@p99 @p14)) % 0.72/1.02 (step @p101 :rule cong :premises (@p100) :args (@t32)) % 0.72/1.02 (step @p102 :rule trans :premises (@p101 @p3)) % 0.72/1.02 (step @p103 :rule eq_resolve :premises (@p1 @p102)) % 0.72/1.02 (step @p104 :rule bool-impl-false1 :args (@t53)) % 0.72/1.02 (step @p105 :rule evaluate :args ((or false false false))) % 0.72/1.02 (step @p106 :rule evaluate :args ((not true))) % 0.72/1.02 (step @p107 :rule quant-unused-vars :args ((= (forall @t70 true) true))) % 0.72/1.02 (step @p108 :rule evaluate :args ((or false true))) % 0.72/1.02 (step @p109 :rule eq-refl :args (@t34)) % 0.72/1.02 (step @p110 :rule eq-refl :args (@t2)) % 0.72/1.02 (step @p111 :rule cong :premises (@p110) :args (@t71)) % 0.72/1.02 (step @p112 :rule trans :premises (@p111 @p106)) % 0.72/1.02 (step @p113 :rule nary_cong :premises (@p112 @p109) :args (@t72)) % 0.72/1.02 (step @p114 :rule trans :premises (@p113 @p108)) % 0.72/1.02 (step @p115 :rule cong :premises (@p114) :args ((forall @t70 @t72))) % 0.72/1.02 (step @p116 :rule trans :premises (@p115 @p107)) % 0.72/1.02 (step @p117 :rule quant-var-elim-eq :args ((= (forall @t76 @t75) @t72))) % 0.72/1.02 (step @p118 :rule aci_norm :args ((= @t77 @t75))) % 0.72/1.02 (step @p119 :rule cong :premises (@p118) :args (@t78)) % 0.72/1.02 (step @p120 :rule trans :premises (@p119 @p117)) % 0.72/1.02 (step @p121 :rule cong :premises (@p120) :args (@t79)) % 0.72/1.02 (step @p122 :rule quant-merge-prenex :args ((= @t79 @t80))) % 0.72/1.02 (step @p123 :rule symm :premises (@p122)) % 0.72/1.02 (step @p124 :rule quant_var_reordering :args ((= (forall @t41 @t77) @t80))) % 0.72/1.02 (step @p125 :rule trans :premises (@p124 @p123 @p121)) % 0.72/1.02 (step @p126 :rule trans :premises (@p125 @p116)) % 0.72/1.02 (step @p127 :rule aci_norm :args ((= @t75 @t77))) % 0.72/1.02 (step @p128 :rule cong :premises (@p127) :args ((forall @t41 @t75))) % 0.72/1.02 (step @p129 :rule trans :premises (@p128 @p126)) % 0.72/1.02 (step @p130 :rule refl :args (@t35)) % 0.72/1.02 (step @p131 :rule eq-symm :args (@t2 @t4)) % 0.72/1.02 (step @p132 :rule beta-reduce :args ((= @t84 (= @t2 @t4)))) % 0.72/1.02 (step @p133 :rule trans :premises (@p132 @p131)) % 0.72/1.02 (step @p134 :rule cong :premises (@p133) :args (@t85)) % 0.72/1.02 (step @p135 :rule beta-reduce :args ((= @t86 @t73))) % 0.72/1.02 (step @p136 :rule cong :premises (@p135) :args (@t87)) % 0.72/1.02 (step @p137 :rule nary_cong :premises (@p136 @p134 @p130) :args (@t88)) % 0.72/1.02 (step @p138 :rule cong :premises (@p137) :args (@t89)) % 0.72/1.02 (step @p139 :rule trans :premises (@p138 @p129)) % 0.72/1.02 (step @p140 :rule cong :premises (@p139) :args (@t90)) % 0.72/1.02 (step @p141 :rule trans :premises (@p140 @p106)) % 0.72/1.02 (step @p142 :rule quant-unused-vars :args ((= (forall @t91 true) true))) % 0.72/1.02 (step @p143 :rule bool-or-taut2 :args (false @t92 false false)) % 0.72/1.02 (step @p144 :rule cong :premises (@p143) :args ((forall @t91 @t94))) % 0.72/1.02 (step @p145 :rule trans :premises (@p144 @p142)) % 0.72/1.02 (step @p146 :rule aci_norm :args ((= (or false @t93 @t92) @t94))) % 0.72/1.02 (step @p147 :rule refl :args (@t92)) % 0.72/1.02 (step @p148 :rule refl :args (@t93)) % 0.72/1.02 (step @p149 :rule eq-refl :args (@t20)) % 0.72/1.02 (step @p150 :rule cong :premises (@p149) :args (@t95)) % 0.72/1.02 (step @p151 :rule trans :premises (@p150 @p106)) % 0.72/1.02 (step @p152 :rule nary_cong :premises (@p151 @p148 @p147) :args (@t96)) % 0.72/1.02 (step @p153 :rule trans :premises (@p152 @p146)) % 0.72/1.02 (step @p154 :rule cong :premises (@p153) :args ((forall @t91 @t96))) % 0.72/1.02 (step @p155 :rule trans :premises (@p154 @p145)) % 0.72/1.02 (step @p156 :rule quant-var-elim-eq :args ((= (forall @t27 @t100) @t96))) % 0.72/1.02 (step @p157 :rule aci_norm :args ((= @t101 @t100))) % 0.72/1.02 (step @p158 :rule cong :premises (@p157) :args (@t102)) % 0.72/1.02 (step @p159 :rule trans :premises (@p158 @p156)) % 0.72/1.02 (step @p160 :rule cong :premises (@p159) :args (@t103)) % 0.72/1.02 (step @p161 :rule quant-merge-prenex :args ((= @t103 @t104))) % 0.72/1.02 (step @p162 :rule symm :premises (@p161)) % 0.72/1.02 (step @p163 :rule quant_var_reordering :args ((= (forall @t24 @t101) @t104))) % 0.72/1.02 (step @p164 :rule trans :premises (@p163 @p162 @p160)) % 0.72/1.02 (step @p165 :rule trans :premises (@p164 @p155)) % 0.72/1.02 (step @p166 :rule beta-reduce :args ((= @t105 @t97))) % 0.72/1.02 (step @p167 :rule beta-reduce :args ((= @t106 @t92))) % 0.72/1.02 (step @p168 :rule cong :premises (@p167) :args (@t107)) % 0.72/1.02 (step @p169 :rule beta-reduce :args ((= @t108 @t98))) % 0.72/1.02 (step @p170 :rule cong :premises (@p169) :args (@t109)) % 0.72/1.02 (step @p171 :rule nary_cong :premises (@p170 @p168 @p166) :args (@t110)) % 0.72/1.02 (step @p172 :rule cong :premises (@p171) :args (@t111)) % 0.72/1.02 (step @p173 :rule trans :premises (@p172 @p165)) % 0.72/1.02 (step @p174 :rule cong :premises (@p173) :args (@t112)) % 0.72/1.02 (step @p175 :rule trans :premises (@p174 @p106)) % 0.72/1.02 (step @p176 :rule quant-unused-vars :args ((= (forall @t27 true) true))) % 0.72/1.02 (step @p177 :rule eq-refl :args (@t17)) % 0.72/1.02 (step @p178 :rule beta-reduce :args ((= @t113 (= @t17 @t17)))) % 0.72/1.02 (step @p179 :rule trans :premises (@p178 @p177)) % 0.72/1.02 (step @p180 :rule cong :premises (@p179) :args (@t114)) % 0.72/1.02 (step @p181 :rule trans :premises (@p180 @p176)) % 0.72/1.02 (step @p182 :rule cong :premises (@p181) :args (@t115)) % 0.72/1.02 (step @p183 :rule trans :premises (@p182 @p106)) % 0.72/1.02 (step @p184 :rule nary_cong :premises (@p183 @p175 @p141) :args (@t116)) % 0.72/1.02 (step @p185 :rule trans :premises (@p184 @p105)) % 0.72/1.02 (step @p186 :rule refl :args (@t53)) % 0.72/1.02 (step @p187 :rule cong :premises (@p186 @p185) :args ((=> @t53 @t116))) % 0.72/1.02 (step @p188 :rule trans :premises (@p187 @p104)) % 0.72/1.02 (assume-push @p195 @t53) % 0.72/1.02 (step @p190 :rule instantiate :premises (@p103) :args ((@list @t83))) % 0.72/1.02 (step-pop @p196 :rule scope :premises (@p190)) % 0.72/1.02 (step @p191 :rule process_scope :premises (@p196) :args (@t116)) % 0.72/1.02 (step @p193 :rule eq_resolve :premises (@p191 @p188)) % 0.72/1.02 (step @p194 false :rule chain_m_resolution :premises (@p193 @p103) :args (false (@list false) (@list @t53))) % 0.72/1.02 ) % 0.72/1.02 % SZS output end Proof % 0.72/1.02 % cvc5 exiting %------------------------------------------------------------------------------