%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV087^5 : 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 : n021.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 08:55:26 AM UTC 2026 % Result : Theorem 0.72s 0.92s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV087^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:13:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.72/0.92 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.72/0.92 % SZS status Theorem % 0.72/0.92 % SZS output start Proof % 0.72/0.92 ( % 0.72/0.92 (declare-sort $$unsorted 0) % 0.72/0.92 (define @t1 () (@var "Y" (-> $$unsorted Bool))) % 0.72/0.92 (define @t2 () (@var "X" (-> $$unsorted Bool))) % 0.72/0.92 (define @t3 () (= @t2 @t1)) % 0.72/0.92 (define @t4 () (@var "R" (-> (-> $$unsorted Bool) (-> $$unsorted Bool) Bool))) % 0.72/0.92 (define @t5 () (_ (_ @t4 @t1) @t2)) % 0.72/0.92 (define @t6 () (_ (_ @t4 @t2) @t1)) % 0.72/0.92 (define @t7 () (and @t6 @t5)) % 0.72/0.92 (define @t8 () (@list @t2 @t1)) % 0.72/0.92 (define @t9 () (forall @t8 (=> @t7 @t3))) % 0.72/0.92 (define @t10 () (@var "Xz" (-> $$unsorted Bool))) % 0.72/0.92 (define @t11 () (@var "Xx" (-> $$unsorted Bool))) % 0.72/0.92 (define @t12 () (_ @t4 @t11)) % 0.72/0.92 (define @t13 () (_ @t12 @t10)) % 0.72/0.92 (define @t14 () (@var "Xy" (-> $$unsorted Bool))) % 0.72/0.92 (define @t15 () (_ (_ @t4 @t14) @t10)) % 0.72/0.92 (define @t16 () (_ @t12 @t14)) % 0.72/0.92 (define @t17 () (and @t16 @t15)) % 0.72/0.92 (define @t18 () (@list @t11 @t14 @t10)) % 0.72/0.92 (define @t19 () (forall @t18 (=> @t17 @t13))) % 0.72/0.92 (define @t20 () (_ @t12 @t11)) % 0.72/0.92 (define @t21 () (@list @t11)) % 0.72/0.92 (define @t22 () (forall @t21 @t20)) % 0.72/0.92 (define @t23 () (@var "Xx" $$unsorted)) % 0.72/0.92 (define @t24 () (@list @t23)) % 0.72/0.92 (define @t25 () (lambda @t24 false)) % 0.72/0.92 (define @t26 () (lambda @t24 true)) % 0.72/0.92 (define @t27 () (not (_ (_ @t4 @t26) @t25))) % 0.72/0.92 (define @t28 () (and @t27 @t22 @t19 @t9)) % 0.72/0.92 (define @t29 () (@list @t4)) % 0.72/0.92 (define @t30 () (exists @t29 @t28)) % 0.72/0.92 (define @t31 () (not @t30)) % 0.72/0.92 (define @t32 () (_ @t4 @t1 @t2)) % 0.72/0.92 (define @t33 () (_ @t4 @t2 @t1)) % 0.72/0.92 (define @t34 () (forall @t8 (or (not @t33) (not @t32) @t3))) % 0.72/0.92 (define @t35 () (not @t34)) % 0.72/0.92 (define @t36 () (_ @t4 @t11 @t10)) % 0.72/0.92 (define @t37 () (_ @t4 @t14 @t10)) % 0.72/0.92 (define @t38 () (_ @t4 @t11 @t14)) % 0.72/0.92 (define @t39 () (forall @t18 (or (not @t38) (not @t37) @t36))) % 0.72/0.92 (define @t40 () (not @t39)) % 0.72/0.92 (define @t41 () (_ @t4 @t11 @t11)) % 0.72/0.92 (define @t42 () (forall @t21 @t41)) % 0.72/0.92 (define @t43 () (not @t42)) % 0.72/0.92 (define @t44 () (@var "BOUND_VARIABLE_7590" $$unsorted)) % 0.72/0.92 (define @t45 () (lambda (@list @t44) false)) % 0.72/0.92 (define @t46 () (@var "BOUND_VARIABLE_7594" $$unsorted)) % 0.72/0.92 (define @t47 () (lambda (@list @t46) true)) % 0.72/0.92 (define @t48 () (_ @t4 @t47 @t45)) % 0.72/0.92 (define @t49 () (forall @t29 (or @t48 @t43 @t40 @t35))) % 0.72/0.92 (define @t50 () (_ (_ @t4 @t47) @t45)) % 0.72/0.92 (define @t51 () (or @t50 @t43 @t40 @t35)) % 0.72/0.92 (define @t52 () (not @t50)) % 0.72/0.92 (define @t53 () (not @t52)) % 0.72/0.92 (define @t54 () (or @t53 @t43 @t40 @t35)) % 0.72/0.92 (define @t55 () (and @t52 @t42 @t39 @t34)) % 0.72/0.92 (define @t56 () (forall @t29 (not @t55))) % 0.72/0.92 (define @t57 () (not @t56)) % 0.72/0.92 (define @t58 () (not @t5)) % 0.72/0.92 (define @t59 () (not @t6)) % 0.72/0.92 (define @t60 () (or @t59 @t58 @t3)) % 0.72/0.92 (define @t61 () (not @t15)) % 0.72/0.92 (define @t62 () (not @t16)) % 0.72/0.92 (define @t63 () (or @t62 @t61 @t13)) % 0.72/0.92 (define @t64 () (@list @t23)) % 0.72/0.92 (define @t65 () (not @t3)) % 0.72/0.92 (define @t66 () (@var "BOUND_VARIABLE_74973" (-> $$unsorted Bool))) % 0.72/0.92 (define @t67 () (@var "BOUND_VARIABLE_74972" (-> $$unsorted Bool))) % 0.72/0.92 (define @t68 () (lambda (@list @t67 @t66) (= @t67 @t66))) % 0.72/0.92 (define @t69 () (_ @t68 @t1 @t2)) % 0.72/0.92 (define @t70 () (not @t69)) % 0.72/0.92 (define @t71 () (_ @t68 @t2 @t1)) % 0.72/0.92 (define @t72 () (not @t71)) % 0.72/0.92 (define @t73 () (or @t72 @t70 @t3)) % 0.72/0.92 (define @t74 () (forall @t8 @t73)) % 0.72/0.92 (define @t75 () (not @t74)) % 0.72/0.92 (define @t76 () (@list @t14 @t10)) % 0.72/0.92 (define @t77 () (= @t14 @t10)) % 0.72/0.92 (define @t78 () (not @t77)) % 0.72/0.92 (define @t79 () (or @t78 @t77)) % 0.72/0.92 (define @t80 () (not (= @t14 @t14))) % 0.72/0.92 (define @t81 () (or @t80 @t78 @t77)) % 0.72/0.92 (define @t82 () (= @t11 @t10)) % 0.72/0.92 (define @t83 () (= @t11 @t14)) % 0.72/0.92 (define @t84 () (not @t83)) % 0.72/0.92 (define @t85 () (or @t84 @t84 @t78 @t82)) % 0.72/0.92 (define @t86 () (or @t84 @t78 @t82)) % 0.72/0.92 (define @t87 () (forall @t21 @t86)) % 0.72/0.92 (define @t88 () (forall @t76 @t87)) % 0.72/0.92 (define @t89 () (forall (@list @t14 @t10 @t11) @t86)) % 0.72/0.92 (define @t90 () (_ @t68 @t11 @t10)) % 0.72/0.92 (define @t91 () (_ @t68 @t14 @t10)) % 0.72/0.92 (define @t92 () (not @t91)) % 0.72/0.92 (define @t93 () (_ @t68 @t11 @t14)) % 0.72/0.92 (define @t94 () (not @t93)) % 0.72/0.92 (define @t95 () (or @t94 @t92 @t90)) % 0.72/0.92 (define @t96 () (forall @t18 @t95)) % 0.72/0.92 (define @t97 () (not @t96)) % 0.72/0.92 (define @t98 () (_ @t68 @t11 @t11)) % 0.72/0.92 (define @t99 () (forall @t21 @t98)) % 0.72/0.92 (define @t100 () (not @t99)) % 0.72/0.92 (define @t101 () (= @t47 @t45)) % 0.72/0.92 (define @t102 () (_ @t68 @t47 @t45)) % 0.72/0.92 (define @t103 () (or @t102 @t100 @t97 @t75)) % 0.72/0.92 (assume @p1 @t31) % 0.72/0.92 (assume @p2 true) % 0.72/0.92 (step @p3 :rule bool-double-not-elim :args (@t49)) % 0.72/0.92 (step @p4 :rule refl :args (@t35)) % 0.72/0.92 (step @p5 :rule refl :args (@t40)) % 0.72/0.92 (step @p6 :rule refl :args (@t43)) % 0.72/0.92 (step @p7 :rule refl :args ((_ @t4 @t47 @t45))) % 0.72/0.92 (step @p8 :rule refl :args (@t45)) % 0.72/0.92 (step @p9 :rule refl :args (@t47)) % 0.72/0.92 (step @p10 :rule cong :premises (@p9 @p8) :args (@t48)) % 0.72/0.92 (step @p11 :rule trans :premises (@p10 @p7)) % 0.72/0.92 (step @p12 :rule refl :args (@t4)) % 0.72/0.92 (step @p13 :rule ho_cong :premises (@p12 @p9)) % 0.72/0.92 (step @p14 :rule ho_cong :premises (@p13 @p8)) % 0.72/0.92 (step @p15 :rule cong :premises (@p14 @p11) :args ((= @t50 @t48))) % 0.72/0.92 (step @p16 :rule symm :premises (@p15)) % 0.72/0.92 (step @p17 :rule refl :args ((_ (_ @t4 @t47) @t45))) % 0.72/0.92 (step @p18 :rule eq_resolve :premises (@p17 @p16)) % 0.72/0.92 (step @p19 :rule nary_cong :premises (@p18 @p6 @p5 @p4) :args (@t51)) % 0.72/0.92 (step @p20 :rule cong :premises (@p19) :args ((forall @t29 @t51))) % 0.72/0.92 (step @p21 :rule bool-double-not-elim :args (@t50)) % 0.72/0.92 (step @p22 :rule nary_cong :premises (@p21 @p6 @p5 @p4) :args (@t54)) % 0.72/0.92 (step @p23 :rule aci_norm :args ((= (or @t53 (or @t43 (or @t40 @t35))) @t54))) % 0.72/0.92 (step @p24 :rule trans :premises (@p23 @p22)) % 0.72/0.92 (step @p25 :rule bool-and-de-morgan :args (@t39 @t34 true)) % 0.72/0.92 (step @p26 :rule nary_cong :premises (@p6 @p25) :args ((or @t43 (not (and @t39 @t34))))) % 0.72/0.92 (step @p27 :rule bool-and-de-morgan :args (@t42 @t39 (and @t34))) % 0.72/0.92 (step @p28 :rule trans :premises (@p27 @p26)) % 0.72/0.92 (step @p29 :rule refl :args (@t53)) % 0.72/0.92 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t53 (not (and @t42 @t39 @t34))))) % 0.72/0.92 (step @p31 :rule bool-and-de-morgan :args (@t52 @t42 (and @t39 @t34))) % 0.72/0.92 (step @p32 :rule trans :premises (@p31 @p30)) % 0.72/0.92 (step @p33 :rule trans :premises (@p32 @p24)) % 0.72/0.92 (step @p34 :rule cong :premises (@p33) :args (@t56)) % 0.72/0.92 (step @p35 :rule trans :premises (@p34 @p20)) % 0.72/0.92 (step @p36 :rule cong :premises (@p35) :args (@t57)) % 0.72/0.92 (step @p37 :rule exists-elim :args ((= (exists @t29 @t55) @t57))) % 0.72/0.92 (step @p38 :rule trans :premises (@p37 @p36)) % 0.72/0.92 (step @p39 :rule refl :args (@t3)) % 0.72/0.92 (step @p40 :rule refl :args (@t32)) % 0.72/0.92 (step @p41 :rule refl :args (@t5)) % 0.72/0.92 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t5 @t32))) % 0.72/0.92 (step @p43 :rule symm :premises (@p42)) % 0.72/0.92 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.72/0.92 (step @p45 :rule cong :premises (@p44) :args (@t58)) % 0.72/0.92 (step @p46 :rule refl :args (@t33)) % 0.72/0.92 (step @p47 :rule refl :args (@t6)) % 0.72/0.92 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t6 @t33))) % 0.72/0.92 (step @p49 :rule symm :premises (@p48)) % 0.72/0.92 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.72/0.92 (step @p51 :rule cong :premises (@p50) :args (@t59)) % 0.72/0.92 (step @p52 :rule nary_cong :premises (@p51 @p45 @p39) :args (@t60)) % 0.72/0.92 (step @p53 :rule cong :premises (@p52) :args ((forall @t8 @t60))) % 0.72/0.92 (step @p54 :rule aci_norm :args ((= (or (or @t59 @t58) @t3) @t60))) % 0.72/0.92 (step @p55 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 0.72/0.92 (step @p56 :rule nary_cong :premises (@p55 @p39) :args ((or (not @t7) @t3))) % 0.72/0.92 (step @p57 :rule trans :premises (@p56 @p54)) % 0.72/0.92 (step @p58 :rule bool-impl-elim :args (@t7 @t3)) % 0.72/0.92 (step @p59 :rule trans :premises (@p58 @p57)) % 0.72/0.92 (step @p60 :rule cong :premises (@p59) :args (@t9)) % 0.72/0.92 (step @p61 :rule trans :premises (@p60 @p53)) % 0.72/0.92 (step @p62 :rule refl :args (@t36)) % 0.72/0.92 (step @p63 :rule refl :args (@t13)) % 0.72/0.92 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t13 @t36))) % 0.72/0.92 (step @p65 :rule symm :premises (@p64)) % 0.72/0.92 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.72/0.92 (step @p67 :rule refl :args (@t37)) % 0.72/0.92 (step @p68 :rule refl :args (@t15)) % 0.72/0.92 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t15 @t37))) % 0.72/0.92 (step @p70 :rule symm :premises (@p69)) % 0.72/0.92 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.72/0.92 (step @p72 :rule cong :premises (@p71) :args (@t61)) % 0.72/0.92 (step @p73 :rule refl :args (@t38)) % 0.72/0.92 (step @p74 :rule refl :args (@t16)) % 0.72/0.92 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t16 @t38))) % 0.72/0.92 (step @p76 :rule symm :premises (@p75)) % 0.72/0.92 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 0.72/0.92 (step @p78 :rule cong :premises (@p77) :args (@t62)) % 0.72/0.92 (step @p79 :rule nary_cong :premises (@p78 @p72 @p66) :args (@t63)) % 0.72/0.92 (step @p80 :rule cong :premises (@p79) :args ((forall @t18 @t63))) % 0.72/0.92 (step @p81 :rule aci_norm :args ((= (or (or @t62 @t61) @t13) @t63))) % 0.72/0.92 (step @p82 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 0.72/0.92 (step @p83 :rule nary_cong :premises (@p82 @p63) :args ((or (not @t17) @t13))) % 0.72/0.92 (step @p84 :rule trans :premises (@p83 @p81)) % 0.72/0.92 (step @p85 :rule bool-impl-elim :args (@t17 @t13)) % 0.72/0.92 (step @p86 :rule trans :premises (@p85 @p84)) % 0.72/0.92 (step @p87 :rule cong :premises (@p86) :args (@t19)) % 0.72/0.92 (step @p88 :rule trans :premises (@p87 @p80)) % 0.72/0.92 (step @p89 :rule refl :args (@t41)) % 0.72/0.92 (step @p90 :rule refl :args (@t20)) % 0.72/0.92 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t20 @t41))) % 0.72/0.92 (step @p92 :rule symm :premises (@p91)) % 0.72/0.92 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 0.72/0.92 (step @p94 :rule cong :premises (@p93) :args (@t22)) % 0.72/0.92 (step @p95 :rule symm :premises (@p8)) % 0.72/0.92 (step @p96 :rule alpha_equiv :args (@t25 @t64 (@list @t44))) % 0.72/0.92 (step @p97 :rule trans :premises (@p96 @p95)) % 0.72/0.92 (step @p98 :rule symm :premises (@p9)) % 0.72/0.92 (step @p99 :rule alpha_equiv :args (@t26 @t64 (@list @t46))) % 0.72/0.92 (step @p100 :rule trans :premises (@p99 @p98)) % 0.72/0.92 (step @p101 :rule refl :args (@t4)) % 0.72/0.92 (step @p102 :rule ho_cong :premises (@p101 @p100)) % 0.72/0.92 (step @p103 :rule ho_cong :premises (@p102 @p97)) % 0.72/0.92 (step @p104 :rule cong :premises (@p103) :args (@t27)) % 0.72/0.92 (step @p105 :rule nary_cong :premises (@p104 @p94 @p88 @p61) :args (@t28)) % 0.72/0.92 (step @p106 :rule cong :premises (@p105) :args (@t30)) % 0.72/0.92 (step @p107 :rule trans :premises (@p106 @p38)) % 0.72/0.92 (step @p108 :rule cong :premises (@p107) :args (@t31)) % 0.72/0.92 (step @p109 :rule trans :premises (@p108 @p3)) % 0.72/0.92 (step @p110 :rule eq_resolve :premises (@p1 @p109)) % 0.72/0.92 (step @p111 :rule bool-impl-false1 :args (@t49)) % 0.72/0.92 (step @p112 :rule evaluate :args ((or false false false false))) % 0.72/0.92 (step @p113 :rule evaluate :args ((not true))) % 0.72/0.92 (step @p114 :rule quant-unused-vars :args ((= (forall @t8 true) true))) % 0.72/0.92 (step @p115 :rule bool-or-taut2 :args (false @t3 (or @t65) false)) % 0.72/0.92 (step @p116 :rule cong :premises (@p115) :args ((forall @t8 (or @t65 @t65 @t3)))) % 0.72/0.92 (step @p117 :rule trans :premises (@p116 @p114)) % 0.72/0.92 (step @p118 :rule refl :args (@t3)) % 0.72/0.92 (step @p119 :rule eq-symm :args (@t1 @t2)) % 0.72/0.92 (step @p120 :rule beta-reduce :args ((= @t69 (= @t1 @t2)))) % 0.72/0.92 (step @p121 :rule trans :premises (@p120 @p119)) % 0.72/0.92 (step @p122 :rule cong :premises (@p121) :args (@t70)) % 0.72/0.92 (step @p123 :rule beta-reduce :args ((= @t71 @t3))) % 0.72/0.92 (step @p124 :rule cong :premises (@p123) :args (@t72)) % 0.72/0.92 (step @p125 :rule nary_cong :premises (@p124 @p122 @p118) :args (@t73)) % 0.72/0.92 (step @p126 :rule cong :premises (@p125) :args (@t74)) % 0.72/0.92 (step @p127 :rule trans :premises (@p126 @p117)) % 0.72/0.92 (step @p128 :rule cong :premises (@p127) :args (@t75)) % 0.72/0.92 (step @p129 :rule trans :premises (@p128 @p113)) % 0.72/0.92 (step @p130 :rule quant-unused-vars :args ((= (forall @t76 true) true))) % 0.72/0.92 (step @p131 :rule bool-or-taut2 :args (false @t77 false false)) % 0.72/0.92 (step @p132 :rule cong :premises (@p131) :args ((forall @t76 @t79))) % 0.72/0.92 (step @p133 :rule trans :premises (@p132 @p130)) % 0.72/0.92 (step @p134 :rule aci_norm :args ((= (or false @t78 @t77) @t79))) % 0.72/0.92 (step @p135 :rule refl :args (@t77)) % 0.72/0.92 (step @p136 :rule refl :args (@t78)) % 0.72/0.92 (step @p137 :rule eq-refl :args (@t14)) % 0.72/0.92 (step @p138 :rule cong :premises (@p137) :args (@t80)) % 0.72/0.92 (step @p139 :rule trans :premises (@p138 @p113)) % 0.72/0.92 (step @p140 :rule nary_cong :premises (@p139 @p136 @p135) :args (@t81)) % 0.72/0.92 (step @p141 :rule trans :premises (@p140 @p134)) % 0.72/0.92 (step @p142 :rule cong :premises (@p141) :args ((forall @t76 @t81))) % 0.72/0.92 (step @p143 :rule trans :premises (@p142 @p133)) % 0.72/0.92 (step @p144 :rule quant-var-elim-eq :args ((= (forall @t21 @t85) @t81))) % 0.72/0.92 (step @p145 :rule aci_norm :args ((= @t86 @t85))) % 0.72/0.92 (step @p146 :rule cong :premises (@p145) :args (@t87)) % 0.72/0.92 (step @p147 :rule trans :premises (@p146 @p144)) % 0.72/0.92 (step @p148 :rule cong :premises (@p147) :args (@t88)) % 0.72/0.92 (step @p149 :rule quant-merge-prenex :args ((= @t88 @t89))) % 0.72/0.92 (step @p150 :rule symm :premises (@p149)) % 0.72/0.92 (step @p151 :rule quant_var_reordering :args ((= (forall @t18 @t86) @t89))) % 0.72/0.92 (step @p152 :rule trans :premises (@p151 @p150 @p148)) % 0.72/0.92 (step @p153 :rule trans :premises (@p152 @p143)) % 0.72/0.92 (step @p154 :rule beta-reduce :args ((= @t90 @t82))) % 0.72/0.92 (step @p155 :rule beta-reduce :args ((= @t91 @t77))) % 0.72/0.92 (step @p156 :rule cong :premises (@p155) :args (@t92)) % 0.72/0.92 (step @p157 :rule beta-reduce :args ((= @t93 @t83))) % 0.72/0.92 (step @p158 :rule cong :premises (@p157) :args (@t94)) % 0.72/0.92 (step @p159 :rule nary_cong :premises (@p158 @p156 @p154) :args (@t95)) % 0.72/0.92 (step @p160 :rule cong :premises (@p159) :args (@t96)) % 0.72/0.92 (step @p161 :rule trans :premises (@p160 @p153)) % 0.72/0.92 (step @p162 :rule cong :premises (@p161) :args (@t97)) % 0.72/0.92 (step @p163 :rule trans :premises (@p162 @p113)) % 0.72/0.92 (step @p164 :rule quant-unused-vars :args ((= (forall @t21 true) true))) % 0.72/0.92 (step @p165 :rule eq-refl :args (@t11)) % 0.72/0.92 (step @p166 :rule beta-reduce :args ((= @t98 (= @t11 @t11)))) % 0.72/0.92 (step @p167 :rule trans :premises (@p166 @p165)) % 0.72/0.92 (step @p168 :rule cong :premises (@p167) :args (@t99)) % 0.72/0.92 (step @p169 :rule trans :premises (@p168 @p164)) % 0.72/0.92 (step @p170 :rule cong :premises (@p169) :args (@t100)) % 0.72/0.92 (step @p171 :rule trans :premises (@p170 @p113)) % 0.72/0.92 ; WARNING: add trust step for DISTINCT_VALUES % 0.72/0.92 ; trust DISTINCT_VALUES % 0.72/0.92 (step @p172 :rule trust :premises () :args ((not @t101))) % 0.72/0.92 (step @p173 :rule false_intro :premises (@p172)) % 0.72/0.92 (step @p174 :rule beta-reduce :args ((= @t102 @t101))) % 0.72/0.92 (step @p175 :rule trans :premises (@p174 @p173)) % 0.72/0.92 (step @p176 :rule nary_cong :premises (@p175 @p171 @p163 @p129) :args (@t103)) % 0.72/0.92 (step @p177 :rule trans :premises (@p176 @p112)) % 0.72/0.92 (step @p178 :rule refl :args (@t49)) % 0.72/0.92 (step @p179 :rule cong :premises (@p178 @p177) :args ((=> @t49 @t103))) % 0.72/0.92 (step @p180 :rule trans :premises (@p179 @p111)) % 0.72/0.92 (assume-push @p187 @t49) % 0.72/0.92 (step @p182 :rule instantiate :premises (@p110) :args ((@list @t68))) % 0.72/0.92 (step-pop @p188 :rule scope :premises (@p182)) % 0.72/0.92 (step @p183 :rule process_scope :premises (@p188) :args (@t103)) % 0.72/0.92 (step @p185 :rule eq_resolve :premises (@p183 @p180)) % 0.72/0.92 (step @p186 false :rule chain_m_resolution :premises (@p185 @p110) :args (false (@list false) (@list @t49))) % 0.72/0.92 ) % 0.72/0.92 % SZS output end Proof % 0.72/0.92 % cvc5 exiting %------------------------------------------------------------------------------