%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV085^5 : 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 : n018.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 08:55:25 AM UTC 2026 % Result : Theorem 1.23s 1.43s % Output : Proof 1.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV085^5 : 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 : n018.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 18:12:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 1.23/1.43 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.23/1.43 % SZS status Theorem % 1.23/1.43 % SZS output start Proof % 1.23/1.43 ( % 1.23/1.43 (declare-sort $$unsorted 0) % 1.23/1.43 (define @t1 () (@var "Xz" (-> $$unsorted Bool))) % 1.23/1.43 (define @t2 () (@var "Xx" (-> $$unsorted Bool))) % 1.23/1.43 (define @t3 () (@var "R" (-> (-> $$unsorted Bool) (-> $$unsorted Bool) Bool))) % 1.23/1.43 (define @t4 () (_ @t3 @t2)) % 1.23/1.43 (define @t5 () (_ @t4 @t1)) % 1.23/1.43 (define @t6 () (@var "Xy" (-> $$unsorted Bool))) % 1.23/1.43 (define @t7 () (_ (_ @t3 @t6) @t1)) % 1.23/1.43 (define @t8 () (_ @t4 @t6)) % 1.23/1.43 (define @t9 () (and @t8 @t7)) % 1.23/1.43 (define @t10 () (@list @t2 @t6 @t1)) % 1.23/1.43 (define @t11 () (forall @t10 (=> @t9 @t5))) % 1.23/1.43 (define @t12 () (_ @t4 @t2)) % 1.23/1.43 (define @t13 () (@list @t2)) % 1.23/1.43 (define @t14 () (forall @t13 @t12)) % 1.23/1.43 (define @t15 () (@var "V" (-> $$unsorted Bool))) % 1.23/1.43 (define @t16 () (@var "U" (-> $$unsorted Bool))) % 1.23/1.43 (define @t17 () (_ (_ @t3 @t16) @t15)) % 1.23/1.43 (define @t18 () (not @t17)) % 1.23/1.43 (define @t19 () (@list @t16 @t15)) % 1.23/1.43 (define @t20 () (exists @t19 @t18)) % 1.23/1.43 (define @t21 () (@var "Y" (-> $$unsorted Bool))) % 1.23/1.43 (define @t22 () (@var "X" (-> $$unsorted Bool))) % 1.23/1.43 (define @t23 () (_ (_ @t3 @t22) @t21)) % 1.23/1.43 (define @t24 () (@list @t22 @t21)) % 1.23/1.43 (define @t25 () (exists @t24 @t23)) % 1.23/1.43 (define @t26 () (and @t25 @t20 @t14 @t11)) % 1.23/1.43 (define @t27 () (@list @t3)) % 1.23/1.43 (define @t28 () (exists @t27 @t26)) % 1.23/1.43 (define @t29 () (not @t28)) % 1.23/1.43 (define @t30 () (_ @t3 @t2 @t1)) % 1.23/1.43 (define @t31 () (_ @t3 @t6 @t1)) % 1.23/1.43 (define @t32 () (_ @t3 @t2 @t6)) % 1.23/1.43 (define @t33 () (forall @t10 (or (not @t32) (not @t31) @t30))) % 1.23/1.43 (define @t34 () (not @t33)) % 1.23/1.43 (define @t35 () (_ @t3 @t2 @t2)) % 1.23/1.43 (define @t36 () (forall @t13 @t35)) % 1.23/1.43 (define @t37 () (not @t36)) % 1.23/1.43 (define @t38 () (@var "BOUND_VARIABLE_7488" (-> $$unsorted Bool))) % 1.23/1.43 (define @t39 () (@var "BOUND_VARIABLE_7486" (-> $$unsorted Bool))) % 1.23/1.43 (define @t40 () (_ @t3 @t39 @t38)) % 1.23/1.43 (define @t41 () (@var "BOUND_VARIABLE_7482" (-> $$unsorted Bool))) % 1.23/1.43 (define @t42 () (@var "BOUND_VARIABLE_7480" (-> $$unsorted Bool))) % 1.23/1.43 (define @t43 () (not (_ @t3 @t42 @t41))) % 1.23/1.43 (define @t44 () (or @t43 @t40 @t37 @t34)) % 1.23/1.43 (define @t45 () (forall (@list @t3 @t42 @t41 @t39 @t38) @t44)) % 1.23/1.43 (define @t46 () (forall (@list @t42 @t41 @t39 @t38) @t44)) % 1.23/1.43 (define @t47 () (forall (@list @t39 @t38) @t40)) % 1.23/1.43 (define @t48 () (forall (@list @t42 @t41) @t43)) % 1.23/1.43 (define @t49 () (or @t48 @t47 @t37 @t34)) % 1.23/1.43 (define @t50 () (_ @t3 @t16 @t15)) % 1.23/1.43 (define @t51 () (forall @t19 @t50)) % 1.23/1.43 (define @t52 () (_ @t3 @t22 @t21)) % 1.23/1.43 (define @t53 () (forall @t24 (not @t52))) % 1.23/1.43 (define @t54 () (not @t51)) % 1.23/1.43 (define @t55 () (not @t54)) % 1.23/1.43 (define @t56 () (not @t53)) % 1.23/1.43 (define @t57 () (not @t56)) % 1.23/1.43 (define @t58 () (or @t57 @t55 @t37 @t34)) % 1.23/1.43 (define @t59 () (and @t56 @t54 @t36 @t33)) % 1.23/1.43 (define @t60 () (forall @t27 (not @t59))) % 1.23/1.43 (define @t61 () (not @t60)) % 1.23/1.43 (define @t62 () (not @t7)) % 1.23/1.43 (define @t63 () (not @t8)) % 1.23/1.43 (define @t64 () (or @t63 @t62 @t5)) % 1.23/1.43 (define @t65 () (forall @t19 (not @t18))) % 1.23/1.43 (define @t66 () (not @t65)) % 1.23/1.43 (define @t67 () (not @t23)) % 1.23/1.43 (define @t68 () (forall @t24 @t67)) % 1.23/1.43 (define @t69 () (not @t68)) % 1.23/1.43 (define @t70 () (@list @t6 @t1)) % 1.23/1.43 (define @t71 () (= @t6 @t1)) % 1.23/1.43 (define @t72 () (not @t71)) % 1.23/1.43 (define @t73 () (or @t72 @t71)) % 1.23/1.43 (define @t74 () (not (= @t6 @t6))) % 1.23/1.43 (define @t75 () (or @t74 @t72 @t71)) % 1.23/1.43 (define @t76 () (= @t2 @t1)) % 1.23/1.43 (define @t77 () (= @t2 @t6)) % 1.23/1.43 (define @t78 () (not @t77)) % 1.23/1.43 (define @t79 () (or @t78 @t78 @t72 @t76)) % 1.23/1.43 (define @t80 () (or @t78 @t72 @t76)) % 1.23/1.43 (define @t81 () (forall @t13 @t80)) % 1.23/1.43 (define @t82 () (forall @t70 @t81)) % 1.23/1.43 (define @t83 () (forall (@list @t6 @t1 @t2) @t80)) % 1.23/1.43 (define @t84 () (@var "BOUND_VARIABLE_144633" (-> $$unsorted Bool))) % 1.23/1.43 (define @t85 () (@var "BOUND_VARIABLE_144632" (-> $$unsorted Bool))) % 1.23/1.43 (define @t86 () (lambda (@list @t85 @t84) (= @t85 @t84))) % 1.23/1.43 (define @t87 () (_ @t86 @t2 @t1)) % 1.23/1.43 (define @t88 () (_ @t86 @t6 @t1)) % 1.23/1.43 (define @t89 () (not @t88)) % 1.23/1.43 (define @t90 () (_ @t86 @t2 @t6)) % 1.23/1.43 (define @t91 () (not @t90)) % 1.23/1.43 (define @t92 () (or @t91 @t89 @t87)) % 1.23/1.43 (define @t93 () (forall @t10 @t92)) % 1.23/1.43 (define @t94 () (not @t93)) % 1.23/1.43 (define @t95 () (_ @t86 @t2 @t2)) % 1.23/1.43 (define @t96 () (forall @t13 @t95)) % 1.23/1.43 (define @t97 () (not @t96)) % 1.23/1.43 (define @t98 () (@var "BOUND_VARIABLE_43745" $$unsorted)) % 1.23/1.43 (define @t99 () (lambda (@list @t98) false)) % 1.23/1.43 (define @t100 () (@var "BOUND_VARIABLE_29313" $$unsorted)) % 1.23/1.43 (define @t101 () (lambda (@list @t100) true)) % 1.23/1.43 (define @t102 () (= @t101 @t99)) % 1.23/1.43 (define @t103 () (@var "BOUND_VARIABLE_145236" $$unsorted)) % 1.23/1.43 (define @t104 () (lambda (@list @t103) false)) % 1.23/1.43 (define @t105 () (@var "BOUND_VARIABLE_145108" $$unsorted)) % 1.23/1.43 (define @t106 () (lambda (@list @t105) true)) % 1.23/1.43 (define @t107 () (@list @t100)) % 1.23/1.43 (define @t108 () (_ @t86 @t106 @t104)) % 1.23/1.43 (define @t109 () (@var "BOUND_VARIABLE_144980" $$unsorted)) % 1.23/1.43 (define @t110 () (lambda (@list @t109) true)) % 1.23/1.43 (define @t111 () (@var "BOUND_VARIABLE_144852" $$unsorted)) % 1.23/1.43 (define @t112 () (lambda (@list @t111) true)) % 1.23/1.43 (define @t113 () (_ @t86 @t112 @t110)) % 1.23/1.43 (define @t114 () (not @t113)) % 1.23/1.43 (define @t115 () (or @t114 @t108 @t97 @t94)) % 1.23/1.43 (assume @p1 @t29) % 1.23/1.43 (assume @p2 true) % 1.23/1.43 (step @p3 :rule bool-double-not-elim :args (@t45)) % 1.23/1.43 (step @p4 :rule quant-merge-prenex :args ((= (forall @t27 @t46) @t45))) % 1.23/1.43 (step @p5 :rule refl :args (@t34)) % 1.23/1.43 (step @p6 :rule refl :args (@t37)) % 1.23/1.43 (step @p7 :rule alpha_equiv :args (@t47 (@list @t39 @t38) (@list @t16 @t15))) % 1.23/1.43 (step @p8 :rule alpha_equiv :args (@t48 (@list @t42 @t41) (@list @t22 @t21))) % 1.23/1.43 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6 @p5) :args (@t49)) % 1.23/1.43 (step @p10 :rule quant-miniscope-or :args ((= @t46 @t49))) % 1.23/1.43 (step @p11 :rule trans :premises (@p10 @p9)) % 1.23/1.43 (step @p12 :rule symm :premises (@p11)) % 1.23/1.43 (step @p13 :rule cong :premises (@p12) :args ((forall @t27 (or @t53 @t51 @t37 @t34)))) % 1.23/1.43 (step @p14 :rule trans :premises (@p13 @p4)) % 1.23/1.43 (step @p15 :rule bool-double-not-elim :args (@t51)) % 1.23/1.43 (step @p16 :rule bool-double-not-elim :args (@t53)) % 1.23/1.43 (step @p17 :rule nary_cong :premises (@p16 @p15 @p6 @p5) :args (@t58)) % 1.23/1.43 (step @p18 :rule aci_norm :args ((= (or @t57 (or @t55 (or @t37 @t34))) @t58))) % 1.23/1.43 (step @p19 :rule trans :premises (@p18 @p17)) % 1.23/1.43 (step @p20 :rule bool-and-de-morgan :args (@t36 @t33 true)) % 1.23/1.43 (step @p21 :rule refl :args (@t55)) % 1.23/1.43 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t55 (not (and @t36 @t33))))) % 1.23/1.43 (step @p23 :rule bool-and-de-morgan :args (@t54 @t36 (and @t33))) % 1.23/1.43 (step @p24 :rule trans :premises (@p23 @p22)) % 1.23/1.43 (step @p25 :rule refl :args (@t57)) % 1.23/1.43 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t57 (not (and @t54 @t36 @t33))))) % 1.23/1.43 (step @p27 :rule bool-and-de-morgan :args (@t56 @t54 (and @t36 @t33))) % 1.23/1.43 (step @p28 :rule trans :premises (@p27 @p26)) % 1.23/1.43 (step @p29 :rule trans :premises (@p28 @p19)) % 1.23/1.43 (step @p30 :rule cong :premises (@p29) :args (@t60)) % 1.23/1.43 (step @p31 :rule trans :premises (@p30 @p14)) % 1.23/1.43 (step @p32 :rule cong :premises (@p31) :args (@t61)) % 1.23/1.43 (step @p33 :rule exists-elim :args ((= (exists @t27 @t59) @t61))) % 1.23/1.43 (step @p34 :rule trans :premises (@p33 @p32)) % 1.23/1.43 (step @p35 :rule refl :args (@t30)) % 1.23/1.43 (step @p36 :rule refl :args (@t5)) % 1.23/1.43 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t5 @t30))) % 1.23/1.43 (step @p38 :rule symm :premises (@p37)) % 1.23/1.43 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 1.23/1.43 (step @p40 :rule refl :args (@t31)) % 1.23/1.43 (step @p41 :rule refl :args (@t7)) % 1.23/1.43 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t7 @t31))) % 1.23/1.43 (step @p43 :rule symm :premises (@p42)) % 1.23/1.43 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 1.23/1.43 (step @p45 :rule cong :premises (@p44) :args (@t62)) % 1.23/1.43 (step @p46 :rule refl :args (@t32)) % 1.23/1.43 (step @p47 :rule refl :args (@t8)) % 1.23/1.43 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t8 @t32))) % 1.23/1.43 (step @p49 :rule symm :premises (@p48)) % 1.23/1.43 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 1.23/1.43 (step @p51 :rule cong :premises (@p50) :args (@t63)) % 1.23/1.43 (step @p52 :rule nary_cong :premises (@p51 @p45 @p39) :args (@t64)) % 1.23/1.43 (step @p53 :rule cong :premises (@p52) :args ((forall @t10 @t64))) % 1.23/1.43 (step @p54 :rule aci_norm :args ((= (or (or @t63 @t62) @t5) @t64))) % 1.23/1.43 (step @p55 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 1.23/1.43 (step @p56 :rule nary_cong :premises (@p55 @p36) :args ((or (not @t9) @t5))) % 1.23/1.43 (step @p57 :rule trans :premises (@p56 @p54)) % 1.23/1.43 (step @p58 :rule bool-impl-elim :args (@t9 @t5)) % 1.23/1.43 (step @p59 :rule trans :premises (@p58 @p57)) % 1.23/1.43 (step @p60 :rule cong :premises (@p59) :args (@t11)) % 1.23/1.43 (step @p61 :rule trans :premises (@p60 @p53)) % 1.23/1.43 (step @p62 :rule refl :args (@t35)) % 1.23/1.43 (step @p63 :rule refl :args (@t12)) % 1.23/1.43 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t12 @t35))) % 1.23/1.43 (step @p65 :rule symm :premises (@p64)) % 1.23/1.43 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 1.23/1.43 (step @p67 :rule cong :premises (@p66) :args (@t14)) % 1.23/1.43 (step @p68 :rule refl :args (@t50)) % 1.23/1.43 (step @p69 :rule refl :args (@t17)) % 1.23/1.43 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t17 @t50))) % 1.23/1.43 (step @p71 :rule symm :premises (@p70)) % 1.23/1.43 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 1.23/1.43 (step @p73 :rule cong :premises (@p72) :args ((forall @t19 @t17))) % 1.23/1.43 (step @p74 :rule bool-double-not-elim :args (@t17)) % 1.23/1.43 (step @p75 :rule cong :premises (@p74) :args (@t65)) % 1.23/1.43 (step @p76 :rule trans :premises (@p75 @p73)) % 1.23/1.43 (step @p77 :rule cong :premises (@p76) :args (@t66)) % 1.23/1.43 (step @p78 :rule exists-elim :args ((= @t20 @t66))) % 1.23/1.43 (step @p79 :rule trans :premises (@p78 @p77)) % 1.23/1.43 (step @p80 :rule refl :args (@t52)) % 1.23/1.43 (step @p81 :rule refl :args (@t23)) % 1.23/1.43 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t23 @t52))) % 1.23/1.43 (step @p83 :rule symm :premises (@p82)) % 1.23/1.43 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 1.23/1.43 (step @p85 :rule cong :premises (@p84) :args (@t67)) % 1.23/1.43 (step @p86 :rule cong :premises (@p85) :args (@t68)) % 1.23/1.43 (step @p87 :rule cong :premises (@p86) :args (@t69)) % 1.23/1.43 (step @p88 :rule exists-elim :args ((= @t25 @t69))) % 1.23/1.43 (step @p89 :rule trans :premises (@p88 @p87)) % 1.23/1.43 (step @p90 :rule nary_cong :premises (@p89 @p79 @p67 @p61) :args (@t26)) % 1.23/1.43 (step @p91 :rule cong :premises (@p90) :args (@t28)) % 1.23/1.43 (step @p92 :rule trans :premises (@p91 @p34)) % 1.23/1.43 (step @p93 :rule cong :premises (@p92) :args (@t29)) % 1.23/1.43 (step @p94 :rule trans :premises (@p93 @p3)) % 1.23/1.43 (step @p95 :rule eq_resolve :premises (@p1 @p94)) % 1.23/1.43 (step @p96 :rule bool-impl-false1 :args (@t45)) % 1.23/1.43 (step @p97 :rule evaluate :args ((or false false false false))) % 1.23/1.43 (step @p98 :rule evaluate :args ((not true))) % 1.23/1.43 (step @p99 :rule quant-unused-vars :args ((= (forall @t70 true) true))) % 1.23/1.43 (step @p100 :rule bool-or-taut2 :args (false @t71 false false)) % 1.23/1.43 (step @p101 :rule cong :premises (@p100) :args ((forall @t70 @t73))) % 1.23/1.43 (step @p102 :rule trans :premises (@p101 @p99)) % 1.23/1.43 (step @p103 :rule aci_norm :args ((= (or false @t72 @t71) @t73))) % 1.23/1.43 (step @p104 :rule refl :args (@t71)) % 1.23/1.43 (step @p105 :rule refl :args (@t72)) % 1.23/1.43 (step @p106 :rule eq-refl :args (@t6)) % 1.23/1.43 (step @p107 :rule cong :premises (@p106) :args (@t74)) % 1.23/1.43 (step @p108 :rule trans :premises (@p107 @p98)) % 1.23/1.43 (step @p109 :rule nary_cong :premises (@p108 @p105 @p104) :args (@t75)) % 1.23/1.43 (step @p110 :rule trans :premises (@p109 @p103)) % 1.23/1.43 (step @p111 :rule cong :premises (@p110) :args ((forall @t70 @t75))) % 1.23/1.43 (step @p112 :rule trans :premises (@p111 @p102)) % 1.23/1.43 (step @p113 :rule quant-var-elim-eq :args ((= (forall @t13 @t79) @t75))) % 1.23/1.43 (step @p114 :rule aci_norm :args ((= @t80 @t79))) % 1.23/1.43 (step @p115 :rule cong :premises (@p114) :args (@t81)) % 1.23/1.43 (step @p116 :rule trans :premises (@p115 @p113)) % 1.23/1.43 (step @p117 :rule cong :premises (@p116) :args (@t82)) % 1.23/1.43 (step @p118 :rule quant-merge-prenex :args ((= @t82 @t83))) % 1.23/1.43 (step @p119 :rule symm :premises (@p118)) % 1.23/1.43 (step @p120 :rule quant_var_reordering :args ((= (forall @t10 @t80) @t83))) % 1.23/1.43 (step @p121 :rule trans :premises (@p120 @p119 @p117)) % 1.23/1.43 (step @p122 :rule trans :premises (@p121 @p112)) % 1.23/1.43 (step @p123 :rule beta-reduce :args ((= @t87 @t76))) % 1.23/1.43 (step @p124 :rule beta-reduce :args ((= @t88 @t71))) % 1.23/1.43 (step @p125 :rule cong :premises (@p124) :args (@t89)) % 1.23/1.43 (step @p126 :rule beta-reduce :args ((= @t90 @t77))) % 1.23/1.43 (step @p127 :rule cong :premises (@p126) :args (@t91)) % 1.23/1.43 (step @p128 :rule nary_cong :premises (@p127 @p125 @p123) :args (@t92)) % 1.23/1.43 (step @p129 :rule cong :premises (@p128) :args (@t93)) % 1.23/1.43 (step @p130 :rule trans :premises (@p129 @p122)) % 1.23/1.43 (step @p131 :rule cong :premises (@p130) :args (@t94)) % 1.23/1.43 (step @p132 :rule trans :premises (@p131 @p98)) % 1.23/1.43 (step @p133 :rule quant-unused-vars :args ((= (forall @t13 true) true))) % 1.23/1.43 (step @p134 :rule eq-refl :args (@t2)) % 1.23/1.43 (step @p135 :rule beta-reduce :args ((= @t95 (= @t2 @t2)))) % 1.23/1.43 (step @p136 :rule trans :premises (@p135 @p134)) % 1.23/1.43 (step @p137 :rule cong :premises (@p136) :args (@t96)) % 1.23/1.43 (step @p138 :rule trans :premises (@p137 @p133)) % 1.23/1.43 (step @p139 :rule cong :premises (@p138) :args (@t97)) % 1.23/1.43 (step @p140 :rule trans :premises (@p139 @p98)) % 1.23/1.43 ; WARNING: add trust step for DISTINCT_VALUES % 1.23/1.43 ; trust DISTINCT_VALUES % 1.23/1.43 (step @p141 :rule trust :premises () :args ((not @t102))) % 1.23/1.43 (step @p142 :rule false_intro :premises (@p141)) % 1.23/1.43 (step @p143 :rule beta-reduce :args ((= (_ @t86 @t101 @t99) @t102))) % 1.23/1.43 (step @p144 :rule trans :premises (@p143 @p142)) % 1.23/1.43 (step @p145 :rule refl :args (@t99)) % 1.23/1.43 (step @p146 :rule symm :premises (@p145)) % 1.23/1.43 (step @p147 :rule alpha_equiv :args (@t104 (@list @t103) (@list @t98))) % 1.23/1.43 (step @p148 :rule trans :premises (@p147 @p146)) % 1.23/1.43 (step @p149 :rule refl :args (@t101)) % 1.23/1.43 (step @p150 :rule symm :premises (@p149)) % 1.23/1.43 (step @p151 :rule alpha_equiv :args (@t106 (@list @t105) @t107)) % 1.23/1.43 (step @p152 :rule trans :premises (@p151 @p150)) % 1.23/1.43 (step @p153 :rule cong :premises (@p152 @p148) :args (@t108)) % 1.23/1.43 (step @p154 :rule trans :premises (@p153 @p144)) % 1.23/1.43 (step @p155 :rule eq-refl :args (@t101)) % 1.23/1.43 (step @p156 :rule beta-reduce :args ((= (_ @t86 @t101 @t101) (= @t101 @t101)))) % 1.23/1.43 (step @p157 :rule trans :premises (@p156 @p155)) % 1.23/1.43 (step @p158 :rule alpha_equiv :args (@t110 (@list @t109) @t107)) % 1.23/1.43 (step @p159 :rule trans :premises (@p158 @p150)) % 1.23/1.43 (step @p160 :rule alpha_equiv :args (@t112 (@list @t111) @t107)) % 1.23/1.43 (step @p161 :rule trans :premises (@p160 @p150)) % 1.23/1.43 (step @p162 :rule cong :premises (@p161 @p159) :args (@t113)) % 1.23/1.43 (step @p163 :rule trans :premises (@p162 @p157)) % 1.23/1.43 (step @p164 :rule cong :premises (@p163) :args (@t114)) % 1.23/1.43 (step @p165 :rule trans :premises (@p164 @p98)) % 1.23/1.43 (step @p166 :rule nary_cong :premises (@p165 @p154 @p140 @p132) :args (@t115)) % 1.23/1.43 (step @p167 :rule trans :premises (@p166 @p97)) % 1.23/1.43 (step @p168 :rule refl :args (@t45)) % 1.23/1.43 (step @p169 :rule cong :premises (@p168 @p167) :args ((=> @t45 @t115))) % 1.23/1.43 (step @p170 :rule trans :premises (@p169 @p96)) % 1.23/1.43 (assume-push @p177 @t45) % 1.23/1.43 (step @p172 :rule instantiate :premises (@p95) :args ((@list @t86 @t112 @t110 @t106 @t104))) % 1.23/1.43 (step-pop @p178 :rule scope :premises (@p172)) % 1.23/1.43 (step @p173 :rule process_scope :premises (@p178) :args (@t115)) % 1.23/1.43 (step @p175 :rule eq_resolve :premises (@p173 @p170)) % 1.23/1.43 (step @p176 false :rule chain_m_resolution :premises (@p175 @p95) :args (false (@list false) (@list @t45))) % 1.23/1.43 ) % 1.23/1.43 % SZS output end Proof % 1.23/1.43 % cvc5 exiting %------------------------------------------------------------------------------