%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET076^1 : TPTP v9.2.1. Released v3.6.0. % 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 08:47:16 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET076^1 : TPTP v9.2.1. Released v3.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n007.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 14:50:26 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.39/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (define tptp.in () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "M" (-> $$unsorted Bool)))) (lambda (@list _let_1 _let_2) (_ _let_2 _let_1))))) % 0.39/0.56 (define tptp.is_a () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "M" (-> $$unsorted Bool)))) (lambda (@list _let_1 _let_2) (_ _let_2 _let_1))))) % 0.39/0.56 (define tptp.emptyset () (lambda (@list (@var "X" $$unsorted)) false)) % 0.39/0.56 (define tptp.unord_pair () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "X" $$unsorted))) (lambda (@list _let_3 _let_1 _let_2) (or (= _let_2 _let_3) (= _let_2 _let_1))))))) % 0.39/0.56 (define tptp.singleton () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (lambda (@list _let_1 _let_2) (= _let_2 _let_1))))) % 0.39/0.56 (define tptp.union () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.39/0.56 (define tptp.excl_union () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (let ((_let_4 (@var "X" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_1))) (lambda (@list _let_4 _let_2 _let_1) (or (and _let_5 (not _let_3)) (and (not _let_5) _let_3))))))))) % 0.39/0.56 (define tptp.intersection () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.39/0.56 (define tptp.setminus () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (not (_ _let_2 _let_1)))))))) % 0.39/0.56 (define tptp.complement () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.39/0.56 (define tptp.disjoint () (let ((_let_1 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (= (_ (_ tptp.intersection _let_2) _let_1) tptp.emptyset))))) % 0.39/0.56 (define tptp.subset () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1)))))))) % 0.39/0.56 (define tptp.meets () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2) (exists (@list _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1)))))))) % 0.39/0.56 (define tptp.misses () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2) (not (exists (@list _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))))) % 0.39/0.56 (define @t1 () (@var "Z" (-> $$unsorted Bool))) % 0.39/0.56 (define @t2 () (@var "Y" $$unsorted)) % 0.39/0.56 (define @t3 () (@var "X" $$unsorted)) % 0.39/0.56 (define @t4 () (_ @t1 @t2)) % 0.39/0.56 (define @t5 () (_ @t1 @t3)) % 0.39/0.56 (define @t6 () (and @t5 @t4)) % 0.39/0.56 (define @t7 () (=> @t6 (_ (_ tptp.subset (_ (_ tptp.unord_pair @t3) @t2)) @t1))) % 0.39/0.56 (define @t8 () (@list @t3 @t2 @t1)) % 0.39/0.56 (define @t9 () (forall @t8 @t7)) % 0.39/0.56 (define @t10 () (not @t9)) % 0.39/0.56 (define @t11 () (@var "M" (-> $$unsorted Bool))) % 0.39/0.56 (define @t12 () (lambda (@list @t3 @t11) (_ @t11 @t3))) % 0.39/0.56 (define @t13 () (lambda (@list @t3) false)) % 0.39/0.56 (define @t14 () (@var "U" $$unsorted)) % 0.39/0.56 (define @t15 () (= @t14 @t3)) % 0.39/0.56 (define @t16 () (or @t15 (= @t14 @t2))) % 0.39/0.56 (define @t17 () (@list @t3 @t2 @t14)) % 0.39/0.56 (define @t18 () (lambda @t17 @t16)) % 0.39/0.56 (define @t19 () (lambda (@list @t3 @t14) @t15)) % 0.39/0.56 (define @t20 () (@var "Y" (-> $$unsorted Bool))) % 0.39/0.56 (define @t21 () (_ @t20 @t14)) % 0.39/0.56 (define @t22 () (@var "X" (-> $$unsorted Bool))) % 0.39/0.56 (define @t23 () (_ @t22 @t14)) % 0.39/0.56 (define @t24 () (@list @t22 @t20 @t14)) % 0.39/0.56 (define @t25 () (lambda @t24 (or @t23 @t21))) % 0.39/0.56 (define @t26 () (not @t23)) % 0.39/0.56 (define @t27 () (and @t23 (not @t21))) % 0.39/0.56 (define @t28 () (lambda @t24 (or @t27 (and @t26 @t21)))) % 0.39/0.56 (define @t29 () (and @t23 @t21)) % 0.39/0.56 (define @t30 () (lambda @t24 @t29)) % 0.39/0.56 (define @t31 () (lambda @t24 @t27)) % 0.39/0.56 (define @t32 () (lambda (@list @t22 @t14) @t26)) % 0.39/0.56 (define @t33 () (@list @t22 @t20)) % 0.39/0.56 (define @t34 () (lambda @t33 (= (_ (_ tptp.intersection @t22) @t20) tptp.emptyset))) % 0.39/0.56 (define @t35 () (@list @t14)) % 0.39/0.56 (define @t36 () (forall @t35 (=> @t23 @t21))) % 0.39/0.56 (define @t37 () (lambda @t33 @t36)) % 0.39/0.56 (define @t38 () (exists @t35 @t29)) % 0.39/0.56 (define @t39 () (lambda @t33 @t38)) % 0.39/0.56 (define @t40 () (lambda @t33 (not @t38))) % 0.39/0.56 (define @t41 () (_ @t1 @t2)) % 0.39/0.56 (define @t42 () (_ @t1 @t3)) % 0.39/0.56 (define @t43 () (and @t42 @t41)) % 0.39/0.56 (define @t44 () (not @t4)) % 0.39/0.56 (define @t45 () (not @t5)) % 0.39/0.56 (define @t46 () (or @t45 @t44 @t43)) % 0.39/0.56 (define @t47 () (_ @t20 @t2)) % 0.39/0.56 (define @t48 () (_ @t20 @t3)) % 0.39/0.56 (define @t49 () (@list @t20)) % 0.39/0.56 (define @t50 () (not (= @t2 @t2))) % 0.39/0.56 (define @t51 () (or @t50 @t47)) % 0.39/0.56 (define @t52 () (@var "BOUND_VARIABLE_7663" $$unsorted)) % 0.39/0.56 (define @t53 () (_ @t20 @t52)) % 0.39/0.56 (define @t54 () (not (= @t2 @t52))) % 0.39/0.56 (define @t55 () (@list @t52)) % 0.39/0.56 (define @t56 () (or @t54 @t54 @t53)) % 0.39/0.56 (define @t57 () (or @t54 @t53)) % 0.39/0.56 (define @t58 () (forall @t55 @t57)) % 0.39/0.56 (define @t59 () (not (= @t3 @t3))) % 0.39/0.56 (define @t60 () (or @t59 @t48)) % 0.39/0.56 (define @t61 () (@var "BOUND_VARIABLE_7655" $$unsorted)) % 0.39/0.56 (define @t62 () (_ @t20 @t61)) % 0.39/0.56 (define @t63 () (not (= @t3 @t61))) % 0.39/0.56 (define @t64 () (@list @t61)) % 0.39/0.56 (define @t65 () (or @t63 @t63 @t62)) % 0.39/0.56 (define @t66 () (or @t63 @t62)) % 0.39/0.56 (define @t67 () (forall @t64 @t66)) % 0.39/0.56 (define @t68 () (_ @t20 @t14)) % 0.39/0.56 (define @t69 () (= @t2 @t14)) % 0.39/0.56 (define @t70 () (not @t69)) % 0.39/0.56 (define @t71 () (or @t70 @t68)) % 0.39/0.56 (define @t72 () (forall @t35 @t71)) % 0.39/0.56 (define @t73 () (@list @t14)) % 0.39/0.56 (define @t74 () (= @t3 @t14)) % 0.39/0.56 (define @t75 () (not @t74)) % 0.39/0.56 (define @t76 () (or @t75 @t68)) % 0.39/0.56 (define @t77 () (forall @t35 @t76)) % 0.39/0.56 (define @t78 () (and @t77 @t72)) % 0.39/0.56 (define @t79 () (or @t74 @t69)) % 0.39/0.56 (define @t80 () (or (not @t79) @t68)) % 0.39/0.56 (define @t81 () (lambda @t35 @t79)) % 0.39/0.56 (define @t82 () (_ @t81 @t14)) % 0.39/0.56 (define @t83 () (not @t82)) % 0.39/0.56 (define @t84 () (or @t83 @t68)) % 0.39/0.56 (define @t85 () (forall @t35 @t84)) % 0.39/0.56 (define @t86 () (lambda @t49 @t85)) % 0.39/0.56 (define @t87 () (_ @t22 @t14)) % 0.39/0.56 (define @t88 () (lambda @t33 (forall @t35 (or (not @t87) @t68)))) % 0.39/0.56 (define @t89 () (lambda (@list @t2 @t14) @t79)) % 0.39/0.56 (define @t90 () (_ (lambda @t17 @t79) @t3)) % 0.39/0.56 (define @t91 () (=> @t6 (_ (_ @t88 (_ @t90 @t2)) @t1))) % 0.39/0.56 (define @t92 () (forall @t8 @t91)) % 0.39/0.56 (define @t93 () (or @t26 @t21)) % 0.39/0.56 (define @t94 () (forall @t8 (or (not @t42) (not @t41) @t43))) % 0.39/0.56 (define @t95 () (@quantifiers_skolemize @t94 2)) % 0.39/0.56 (define @t96 () (_ @t95 (@quantifiers_skolemize @t94 1))) % 0.39/0.56 (define @t97 () (_ @t95 (@quantifiers_skolemize @t94 0))) % 0.39/0.56 (define @t98 () (and @t97 @t96)) % 0.39/0.56 (define @t99 () (not @t96)) % 0.39/0.56 (define @t100 () (not @t97)) % 0.39/0.56 (define @t101 () (or @t100 @t99 @t98)) % 0.39/0.56 (define @t102 () (@list true)) % 0.39/0.56 (define @t103 () (@list @t101)) % 0.39/0.56 (assume @p1 @t10) % 0.39/0.56 (assume @p2 true) % 0.39/0.56 (step @p3 (= tptp.in @t12) :rule refl :args (@t12)) % 0.39/0.56 (step @p4 (= tptp.is_a @t12) :rule refl :args (@t12)) % 0.39/0.56 (step @p5 (= tptp.emptyset @t13) :rule refl :args (@t13)) % 0.39/0.56 (step @p6 (= tptp.unord_pair @t18) :rule refl :args (@t18)) % 0.39/0.56 (step @p7 (= tptp.singleton @t19) :rule refl :args (@t19)) % 0.39/0.56 (step @p8 (= tptp.union @t25) :rule refl :args (@t25)) % 0.39/0.56 (step @p9 (= tptp.excl_union @t28) :rule refl :args (@t28)) % 0.39/0.56 (step @p10 (= tptp.intersection @t30) :rule refl :args (@t30)) % 0.39/0.56 (step @p11 (= tptp.setminus @t31) :rule refl :args (@t31)) % 0.39/0.56 (step @p12 (= tptp.complement @t32) :rule refl :args (@t32)) % 0.39/0.56 (step @p13 (= tptp.disjoint @t34) :rule refl :args (@t34)) % 0.39/0.56 (step @p14 (= tptp.subset @t37) :rule refl :args (@t37)) % 0.39/0.56 (step @p15 (= tptp.meets @t39) :rule refl :args (@t39)) % 0.39/0.56 (step @p16 (= tptp.misses @t40) :rule refl :args (@t40)) % 0.39/0.56 (step @p17 :rule refl :args (@t43)) % 0.39/0.56 (step @p18 :rule refl :args (@t41)) % 0.39/0.56 (step @p19 :rule refl :args (@t4)) % 0.39/0.56 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t4 @t41))) % 0.39/0.56 (step @p21 :rule symm :premises (@p20)) % 0.39/0.56 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.39/0.56 (step @p23 :rule cong :premises (@p22) :args (@t44)) % 0.39/0.56 (step @p24 :rule refl :args (@t42)) % 0.39/0.56 (step @p25 :rule refl :args (@t5)) % 0.39/0.56 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t5 @t42))) % 0.39/0.56 (step @p27 :rule symm :premises (@p26)) % 0.39/0.56 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.39/0.56 (step @p29 :rule cong :premises (@p28) :args (@t45)) % 0.39/0.56 (step @p30 :rule nary_cong :premises (@p29 @p23 @p17) :args (@t46)) % 0.39/0.56 (step @p31 :rule cong :premises (@p30) :args ((forall @t8 @t46))) % 0.39/0.56 (step @p32 :rule aci_norm :args ((= (or (or @t45 @t44) @t43) @t46))) % 0.39/0.56 (step @p33 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.39/0.56 (step @p34 :rule nary_cong :premises (@p33 @p17) :args ((or (not @t6) @t43))) % 0.39/0.56 (step @p35 :rule trans :premises (@p34 @p32)) % 0.39/0.56 (step @p36 :rule bool-impl-elim :args (@t6 @t43)) % 0.39/0.56 (step @p37 :rule trans :premises (@p36 @p35)) % 0.39/0.56 (step @p38 :rule cong :premises (@p37) :args ((forall @t8 (=> @t6 @t43)))) % 0.39/0.56 (step @p39 :rule trans :premises (@p38 @p31)) % 0.39/0.56 (step @p40 :rule beta-reduce :args ((= (_ (lambda @t49 (and @t48 @t47)) @t1) @t43))) % 0.39/0.56 (step @p41 :rule refl :args (@t1)) % 0.39/0.56 (step @p42 :rule aci_norm :args ((= (or false @t47) @t47))) % 0.39/0.56 (step @p43 :rule refl :args (@t47)) % 0.39/0.56 (step @p44 :rule evaluate :args ((not true))) % 0.39/0.56 (step @p45 :rule eq-refl :args (@t2)) % 0.39/0.56 (step @p46 :rule cong :premises (@p45) :args (@t50)) % 0.39/0.56 (step @p47 :rule trans :premises (@p46 @p44)) % 0.39/0.56 (step @p48 :rule nary_cong :premises (@p47 @p43) :args (@t51)) % 0.39/0.56 (step @p49 :rule trans :premises (@p48 @p42)) % 0.39/0.56 (step @p50 :rule quant-var-elim-eq :args ((= (forall @t55 (or (not (= @t52 @t2)) @t54 @t53)) @t51))) % 0.39/0.56 (step @p51 :rule refl :args (@t53)) % 0.39/0.56 (step @p52 :rule refl :args (@t54)) % 0.39/0.56 (step @p53 :rule eq-symm :args (@t2 @t52)) % 0.39/0.56 (step @p54 :rule cong :premises (@p53) :args (@t54)) % 0.39/0.56 (step @p55 :rule nary_cong :premises (@p54 @p52 @p51) :args (@t56)) % 0.39/0.56 (step @p56 :rule aci_norm :args ((= @t57 @t56))) % 0.39/0.56 (step @p57 :rule trans :premises (@p56 @p55)) % 0.39/0.56 (step @p58 :rule cong :premises (@p57) :args (@t58)) % 0.39/0.56 (step @p59 :rule trans :premises (@p58 @p50)) % 0.39/0.56 (step @p60 :rule trans :premises (@p59 @p49)) % 0.39/0.56 (step @p61 :rule aci_norm :args ((= (or false @t48) @t48))) % 0.39/0.56 (step @p62 :rule refl :args (@t48)) % 0.39/0.56 (step @p63 :rule eq-refl :args (@t3)) % 0.39/0.56 (step @p64 :rule cong :premises (@p63) :args (@t59)) % 0.39/0.56 (step @p65 :rule trans :premises (@p64 @p44)) % 0.39/0.56 (step @p66 :rule nary_cong :premises (@p65 @p62) :args (@t60)) % 0.39/0.56 (step @p67 :rule trans :premises (@p66 @p61)) % 0.39/0.56 (step @p68 :rule quant-var-elim-eq :args ((= (forall @t64 (or (not (= @t61 @t3)) @t63 @t62)) @t60))) % 0.39/0.56 (step @p69 :rule refl :args (@t62)) % 0.39/0.56 (step @p70 :rule refl :args (@t63)) % 0.39/0.56 (step @p71 :rule eq-symm :args (@t3 @t61)) % 0.39/0.56 (step @p72 :rule cong :premises (@p71) :args (@t63)) % 0.39/0.56 (step @p73 :rule nary_cong :premises (@p72 @p70 @p69) :args (@t65)) % 0.39/0.56 (step @p74 :rule aci_norm :args ((= @t66 @t65))) % 0.39/0.56 (step @p75 :rule trans :premises (@p74 @p73)) % 0.39/0.56 (step @p76 :rule cong :premises (@p75) :args (@t67)) % 0.39/0.56 (step @p77 :rule trans :premises (@p76 @p68)) % 0.39/0.56 (step @p78 :rule trans :premises (@p77 @p67)) % 0.39/0.56 (step @p79 :rule nary_cong :premises (@p78 @p60) :args ((and @t67 @t58))) % 0.39/0.56 (step @p80 :rule alpha_equiv :args (@t72 @t73 (@list @t52))) % 0.39/0.56 (step @p81 :rule alpha_equiv :args (@t77 @t73 (@list @t61))) % 0.39/0.56 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t78)) % 0.39/0.56 (step @p83 :rule quant-miniscope-and :args ((= (forall @t35 (and @t76 @t71)) @t78))) % 0.39/0.56 (step @p84 :rule trans :premises (@p83 @p82)) % 0.39/0.56 (step @p85 :rule trans :premises (@p84 @p79)) % 0.39/0.56 (step @p86 :rule bool-or-and-distrib :args (@t75 @t70 true @t68 false)) % 0.39/0.56 (step @p87 :rule cong :premises (@p86) :args ((forall @t35 (or (and @t75 @t70) @t68)))) % 0.39/0.56 (step @p88 :rule trans :premises (@p87 @p85)) % 0.39/0.56 (step @p89 :rule refl :args (@t68)) % 0.39/0.56 (step @p90 :rule bool-or-de-morgan :args (@t74 @t69 false)) % 0.39/0.56 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t80)) % 0.39/0.56 (step @p92 :rule cong :premises (@p91) :args ((forall @t35 @t80))) % 0.39/0.56 (step @p93 :rule trans :premises (@p92 @p88)) % 0.39/0.56 (step @p94 :rule refl :args (@t68)) % 0.39/0.56 (step @p95 :rule beta-reduce :args ((= @t82 @t79))) % 0.39/0.56 (step @p96 :rule cong :premises (@p95) :args (@t83)) % 0.39/0.56 (step @p97 :rule nary_cong :premises (@p96 @p94) :args (@t84)) % 0.39/0.57 (step @p98 :rule cong :premises (@p97) :args (@t85)) % 0.39/0.57 (step @p99 :rule trans :premises (@p98 @p93)) % 0.39/0.57 (step @p100 :rule cong :premises (@p99) :args (@t86)) % 0.39/0.57 (step @p101 :rule beta-reduce :args ((= (_ @t88 @t81) @t86))) % 0.39/0.57 (step @p102 :rule trans :premises (@p101 @p100)) % 0.39/0.57 (step @p103 :rule beta-reduce :args ((= (_ @t89 @t2) @t81))) % 0.39/0.57 (step @p104 :rule refl :args (@t2)) % 0.39/0.57 (step @p105 :rule beta-reduce :args ((= @t90 @t89))) % 0.39/0.57 (step @p106 :rule ho_cong :premises (@p105 @p104)) % 0.39/0.57 (step @p107 :rule trans :premises (@p106 @p103)) % 0.39/0.57 (step @p108 :rule refl :args (@t88)) % 0.39/0.57 (step @p109 :rule ho_cong :premises (@p108 @p107)) % 0.39/0.57 (step @p110 :rule trans :premises (@p109 @p102)) % 0.39/0.57 (step @p111 :rule ho_cong :premises (@p110 @p41)) % 0.39/0.57 (step @p112 :rule trans :premises (@p111 @p40)) % 0.39/0.57 (step @p113 :rule refl :args (@t6)) % 0.39/0.57 (step @p114 :rule cong :premises (@p113 @p112) :args (@t91)) % 0.39/0.57 (step @p115 :rule cong :premises (@p114) :args (@t92)) % 0.39/0.57 (step @p116 :rule trans :premises (@p115 @p39)) % 0.39/0.57 (step @p117 :rule cong :premises (@p116) :args ((not @t92))) % 0.39/0.57 (step @p118 :rule refl :args (@t3)) % 0.39/0.57 (step @p119 :rule eq-symm :args (@t14 @t2)) % 0.39/0.57 (step @p120 :rule eq-symm :args (@t14 @t3)) % 0.39/0.57 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t16)) % 0.39/0.57 (step @p122 :rule cong :premises (@p121) :args (@t18)) % 0.39/0.57 (step @p123 :rule trans :premises (@p6 @p122)) % 0.39/0.57 (step @p124 :rule ho_cong :premises (@p123 @p118)) % 0.39/0.57 (step @p125 :rule ho_cong :premises (@p124 @p104)) % 0.39/0.57 (step @p126 :rule refl :args (@t68)) % 0.39/0.57 (step @p127 :rule refl :args (@t21)) % 0.39/0.57 (step @p128 :rule cong :premises (@p127 @p126) :args ((= @t21 @t68))) % 0.39/0.57 (step @p129 :rule symm :premises (@p128)) % 0.39/0.57 (step @p130 :rule eq_resolve :premises (@p127 @p129)) % 0.39/0.57 (step @p131 :rule refl :args (@t87)) % 0.39/0.57 (step @p132 :rule refl :args (@t23)) % 0.39/0.57 (step @p133 :rule cong :premises (@p132 @p131) :args ((= @t23 @t87))) % 0.39/0.57 (step @p134 :rule symm :premises (@p133)) % 0.39/0.57 (step @p135 :rule eq_resolve :premises (@p132 @p134)) % 0.39/0.57 (step @p136 :rule cong :premises (@p135) :args (@t26)) % 0.39/0.57 (step @p137 :rule nary_cong :premises (@p136 @p130) :args (@t93)) % 0.39/0.57 (step @p138 :rule cong :premises (@p137) :args ((forall @t35 @t93))) % 0.39/0.57 (step @p139 :rule bool-impl-elim :args (@t23 @t21)) % 0.39/0.57 (step @p140 :rule cong :premises (@p139) :args (@t36)) % 0.39/0.57 (step @p141 :rule trans :premises (@p140 @p138)) % 0.39/0.57 (step @p142 :rule cong :premises (@p141) :args (@t37)) % 0.39/0.57 (step @p143 :rule trans :premises (@p14 @p142)) % 0.39/0.57 (step @p144 :rule ho_cong :premises (@p143 @p125)) % 0.39/0.57 (step @p145 :rule ho_cong :premises (@p144 @p41)) % 0.39/0.57 (step @p146 :rule cong :premises (@p113 @p145) :args (@t7)) % 0.39/0.57 (step @p147 :rule cong :premises (@p146) :args (@t9)) % 0.39/0.57 (step @p148 :rule cong :premises (@p147) :args (@t10)) % 0.39/0.57 (step @p149 :rule trans :premises (@p148 @p117)) % 0.39/0.57 (step @p150 :rule eq_resolve :premises (@p1 @p149)) % 0.39/0.57 (step @p151 :rule skolemize :premises (@p150)) % 0.39/0.57 (step @p152 :rule cnf_or_neg :args (@t101 2)) % 0.39/0.57 (step @p153 :rule chain_m_resolution :premises (@p152 @p151) :args ((not @t98) @t102 @t103)) % 0.39/0.57 (step @p154 :rule bool-double-not-elim :args (@t97)) % 0.39/0.57 (step @p155 :rule refl :args (@t101)) % 0.39/0.57 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t101 (not @t100)))) % 0.39/0.57 (step @p157 :rule cnf_or_neg :args (@t101 0)) % 0.39/0.57 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 0.39/0.57 (step @p159 :rule reordering :premises (@p158) :args ((or @t97 @t101))) % 0.39/0.57 (step @p160 :rule chain_m_resolution :premises (@p159 @p151) :args (@t97 @t102 @t103)) % 0.39/0.57 (step @p161 :rule bool-double-not-elim :args (@t96)) % 0.39/0.57 (step @p162 :rule nary_cong :premises (@p155 @p161) :args ((or @t101 (not @t99)))) % 0.39/0.57 (step @p163 :rule cnf_or_neg :args (@t101 1)) % 0.39/0.57 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.39/0.57 (step @p165 :rule reordering :premises (@p164) :args ((or @t96 @t101))) % 0.39/0.57 (step @p166 :rule chain_m_resolution :premises (@p165 @p151) :args (@t96 @t102 @t103)) % 0.39/0.57 (step @p167 :rule cnf_and_neg :args (@t98)) % 0.39/0.57 (step @p168 :rule reordering :premises (@p167) :args (@t101)) % 0.39/0.57 (step @p169 false :rule chain_m_resolution :premises (@p168 @p166 @p160 @p153) :args (false (@list false false true) (@list @t96 @t97 @t98))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------