%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET698+4 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:48:27 AM UTC 2026 % Result : Theorem 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET698+4 : TPTP v9.2.1. Released v2.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 16:07:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.empty_set $$unsorted) % 0.37/0.61 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.61 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.61 (define @t3 () (tptp.member @t2 @t1)) % 0.37/0.61 (define @t4 () (@var "A" $$unsorted)) % 0.37/0.61 (define @t5 () (tptp.member @t2 @t4)) % 0.37/0.61 (define @t6 () (@list @t2)) % 0.37/0.61 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.37/0.61 (define @t8 () (tptp.subset @t4 @t1)) % 0.37/0.61 (define @t9 () (= @t8 @t7)) % 0.37/0.61 (define @t10 () (@list @t4 @t1)) % 0.37/0.61 (define @t11 () (forall @t10 @t9)) % 0.37/0.61 (define @t12 () (@list @t2 @t4)) % 0.37/0.61 (define @t13 () (@list @t2 @t4 @t1)) % 0.37/0.61 (define @t14 () (@var "E" $$unsorted)) % 0.37/0.61 (define @t15 () (tptp.difference @t14 @t4)) % 0.37/0.61 (define @t16 () (= @t2 @t4)) % 0.37/0.61 (define @t17 () (@var "Y" $$unsorted)) % 0.37/0.61 (define @t18 () (tptp.member @t2 @t17)) % 0.37/0.61 (define @t19 () (tptp.member @t17 @t4)) % 0.37/0.61 (define @t20 () (@list @t17)) % 0.37/0.61 (define @t21 () (= @t8 (tptp.equal_set (tptp.union @t15 @t1) @t14))) % 0.37/0.61 (define @t22 () (tptp.subset @t1 @t14)) % 0.37/0.61 (define @t23 () (tptp.subset @t4 @t14)) % 0.37/0.61 (define @t24 () (and @t23 @t22)) % 0.37/0.61 (define @t25 () (@list @t4 @t1 @t14)) % 0.37/0.61 (define @t26 () (forall @t25 (=> @t24 @t21))) % 0.37/0.61 (define @t27 () (not @t26)) % 0.37/0.61 (define @t28 () (not @t22)) % 0.37/0.61 (define @t29 () (not @t23)) % 0.37/0.61 (define @t30 () (or @t29 @t28 @t21)) % 0.37/0.61 (define @t31 () (forall @t25 @t30)) % 0.37/0.61 (define @t32 () (@quantifiers_skolemize @t31 1)) % 0.37/0.61 (define @t33 () (@quantifiers_skolemize @t31 0)) % 0.37/0.61 (define @t34 () (@quantifiers_skolemize @t31 2)) % 0.37/0.61 (define @t35 () (tptp.difference @t34 @t33)) % 0.37/0.61 (define @t36 () (tptp.union @t35 @t32)) % 0.37/0.61 (define @t37 () (tptp.equal_set @t36 @t34)) % 0.37/0.61 (define @t38 () (tptp.subset @t33 @t32)) % 0.37/0.61 (define @t39 () (= @t38 @t37)) % 0.37/0.61 (define @t40 () (tptp.subset @t32 @t34)) % 0.37/0.61 (define @t41 () (not @t40)) % 0.37/0.61 (define @t42 () (tptp.subset @t33 @t34)) % 0.37/0.61 (define @t43 () (not @t42)) % 0.37/0.61 (define @t44 () (or @t43 @t41 @t39)) % 0.37/0.61 (define @t45 () (@list true)) % 0.37/0.61 (define @t46 () (@list @t44)) % 0.37/0.61 (define @t47 () (tptp.member @t2 @t32)) % 0.37/0.61 (define @t48 () (not (tptp.member @t2 @t33))) % 0.37/0.61 (define @t49 () (forall @t6 (or @t48 @t47))) % 0.37/0.61 (define @t50 () (= @t38 @t49)) % 0.37/0.61 (define @t51 () (not @t50)) % 0.37/0.61 (define @t52 () (not @t49)) % 0.37/0.61 (define @t53 () (@list @t36 @t34)) % 0.37/0.61 (define @t54 () (tptp.subset @t34 @t36)) % 0.37/0.61 (define @t55 () (tptp.subset @t36 @t34)) % 0.37/0.61 (define @t56 () (and @t55 @t54)) % 0.37/0.61 (define @t57 () (= @t37 @t56)) % 0.37/0.61 (define @t58 () (not @t57)) % 0.37/0.61 (define @t59 () (not @t37)) % 0.37/0.61 (define @t60 () (@quantifiers_skolemize @t49 0)) % 0.37/0.61 (define @t61 () (tptp.member @t60 @t32)) % 0.37/0.61 (define @t62 () (tptp.member @t60 @t33)) % 0.37/0.61 (define @t63 () (not @t62)) % 0.37/0.61 (define @t64 () (or @t63 @t61)) % 0.37/0.61 (define @t65 () (not @t64)) % 0.37/0.61 (define @t66 () (not @t56)) % 0.37/0.61 (define @t67 () (tptp.member @t2 @t36)) % 0.37/0.61 (define @t68 () (tptp.member @t2 @t34)) % 0.37/0.61 (define @t69 () (forall @t6 (or (not @t68) @t67))) % 0.37/0.61 (define @t70 () (= @t54 @t69)) % 0.37/0.61 (define @t71 () (not @t70)) % 0.37/0.61 (define @t72 () (not @t54)) % 0.37/0.61 (define @t73 () (forall @t6 (or @t48 @t68))) % 0.37/0.61 (define @t74 () (= @t42 @t73)) % 0.37/0.61 (define @t75 () (@list false false)) % 0.37/0.61 (define @t76 () (@list @t60)) % 0.37/0.61 (define @t77 () (tptp.member @t60 @t34)) % 0.37/0.61 (define @t78 () (or @t63 @t77)) % 0.37/0.61 (define @t79 () (and @t77 @t63)) % 0.37/0.61 (define @t80 () (tptp.member @t60 @t36)) % 0.37/0.61 (define @t81 () (not @t77)) % 0.37/0.61 (define @t82 () (or @t81 @t80)) % 0.37/0.61 (define @t83 () (tptp.member @t60 @t35)) % 0.37/0.61 (define @t84 () (= @t83 @t79)) % 0.37/0.61 (define @t85 () (or @t83 @t61)) % 0.37/0.61 (define @t86 () (= @t80 @t85)) % 0.37/0.61 (define @t87 () (@quantifiers_skolemize @t69 0)) % 0.37/0.61 (define @t88 () (forall @t6 (or (not @t67) @t68))) % 0.37/0.61 (define @t89 () (@quantifiers_skolemize @t88 0)) % 0.37/0.61 (define @t90 () (tptp.member @t89 @t36)) % 0.37/0.61 (define @t91 () (tptp.member @t89 @t34)) % 0.37/0.61 (define @t92 () (not @t90)) % 0.37/0.61 (define @t93 () (or @t92 @t91)) % 0.37/0.61 (define @t94 () (tptp.member @t89 @t32)) % 0.37/0.61 (define @t95 () (tptp.member @t89 @t35)) % 0.37/0.61 (define @t96 () (or @t95 @t94)) % 0.37/0.61 (define @t97 () (= @t90 @t96)) % 0.37/0.61 (define @t98 () (forall @t6 (or (not @t47) @t68))) % 0.37/0.61 (define @t99 () (= @t40 @t98)) % 0.37/0.61 (define @t100 () (not @t94)) % 0.37/0.61 (define @t101 () (or @t100 @t91)) % 0.37/0.61 (define @t102 () (and @t91 (not (tptp.member @t89 @t33)))) % 0.37/0.61 (define @t103 () (= @t95 @t102)) % 0.37/0.61 (define @t104 () (not @t93)) % 0.37/0.61 (define @t105 () (not @t88)) % 0.37/0.61 (define @t106 () (= @t55 @t88)) % 0.37/0.61 (define @t107 () (@list true false)) % 0.37/0.61 (define @t108 () (not @t69)) % 0.37/0.61 (define @t109 () (tptp.member @t87 @t36)) % 0.37/0.61 (define @t110 () (tptp.member @t87 @t34)) % 0.37/0.61 (define @t111 () (not @t110)) % 0.37/0.61 (define @t112 () (or @t111 @t109)) % 0.37/0.61 (define @t113 () (not @t112)) % 0.37/0.61 (define @t114 () (@list @t112)) % 0.37/0.61 (define @t115 () (tptp.member @t87 @t32)) % 0.37/0.61 (define @t116 () (tptp.member @t87 @t35)) % 0.37/0.61 (define @t117 () (or @t116 @t115)) % 0.37/0.61 (define @t118 () (= @t109 @t117)) % 0.37/0.61 (define @t119 () (not @t117)) % 0.37/0.61 (define @t120 () (@list @t117)) % 0.37/0.61 (define @t121 () (tptp.member @t87 @t33)) % 0.37/0.61 (define @t122 () (not @t121)) % 0.37/0.61 (define @t123 () (and @t110 @t122)) % 0.37/0.61 (define @t124 () (= @t116 @t123)) % 0.37/0.61 (define @t125 () (not @t123)) % 0.37/0.61 (define @t126 () (or @t122 @t115)) % 0.37/0.61 (define @t127 () (not @t126)) % 0.37/0.61 (assume @p1 @t11) % 0.37/0.61 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.37/0.61 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.37/0.61 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.37/0.61 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.37/0.61 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.37/0.61 (assume @p7 (forall (@list @t1 @t4 @t14) (= (tptp.member @t1 @t15) (and (tptp.member @t1 @t14) (not (tptp.member @t1 @t4)))))) % 0.37/0.61 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.37/0.61 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.37/0.61 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t20 (and @t19 @t18))))) % 0.37/0.61 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t19 @t18))))) % 0.37/0.61 (assume @p12 @t27) % 0.37/0.61 (assume @p13 true) % 0.37/0.61 (step @p14 :rule bool-impl-elim :args (@t5 @t3)) % 0.37/0.61 (step @p15 :rule cong :premises (@p14) :args (@t7)) % 0.37/0.61 (step @p16 :rule refl :args (@t8)) % 0.37/0.61 (step @p17 :rule cong :premises (@p16 @p15) :args (@t9)) % 0.37/0.61 (step @p18 :rule cong :premises (@p17) :args (@t11)) % 0.37/0.61 (step @p19 :rule eq_resolve :premises (@p1 @p18)) % 0.37/0.61 (step @p20 :rule instantiate :premises (@p19) :args ((@list @t33 @t32))) % 0.37/0.61 (step @p21 :rule aci_norm :args ((= (or (or @t29 @t28) @t21) @t30))) % 0.37/0.61 (step @p22 :rule refl :args (@t21)) % 0.37/0.61 (step @p23 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.37/0.61 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t24) @t21))) % 0.37/0.61 (step @p25 :rule trans :premises (@p24 @p21)) % 0.37/0.61 (step @p26 :rule bool-impl-elim :args (@t24 @t21)) % 0.37/0.61 (step @p27 :rule trans :premises (@p26 @p25)) % 0.37/0.61 (step @p28 :rule cong :premises (@p27) :args (@t26)) % 0.37/0.61 (step @p29 :rule cong :premises (@p28) :args (@t27)) % 0.37/0.61 (step @p30 :rule eq_resolve :premises (@p12 @p29)) % 0.37/0.61 (step @p31 :rule skolemize :premises (@p30)) % 0.37/0.61 (step @p32 :rule cnf_or_neg :args (@t44 2)) % 0.37/0.61 (step @p33 :rule chain_m_resolution :premises (@p32 @p31) :args ((not @t39) @t45 @t46)) % 0.37/0.61 (step @p34 :rule cnf_equiv_neg1 :args (@t39)) % 0.37/0.61 (step @p35 :rule reordering :premises (@p34) :args ((or @t38 @t37 @t39))) % 0.37/0.61 (step @p36 :rule cnf_equiv_pos2 :args (@t50)) % 0.37/0.61 (step @p37 :rule reordering :premises (@p36) :args ((or @t38 @t52 @t51))) % 0.37/0.61 (step @p38 :rule instantiate :premises (@p2) :args (@t53)) % 0.37/0.61 (step @p39 :rule cnf_equiv_pos1 :args (@t57)) % 0.37/0.61 (step @p40 :rule reordering :premises (@p39) :args ((or @t59 @t56 @t58))) % 0.37/0.61 (step @p41 :rule refl :args (@t65)) % 0.37/0.61 (step @p42 :rule bool-double-not-elim :args (@t49)) % 0.37/0.61 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or (not @t52) @t65))) % 0.37/0.61 (assume-push @p200 @t52) % 0.37/0.61 (step @p45 :rule skolemize :premises (@p200)) % 0.37/0.61 (step-pop @p201 :rule scope :premises (@p45)) % 0.37/0.61 (step @p46 :rule process_scope :premises (@p201) :args (@t65)) % 0.37/0.61 (step @p48 :rule implies_elim :premises (@p46)) % 0.37/0.61 (step @p49 :rule eq_resolve :premises (@p48 @p43)) % 0.37/0.61 (step @p50 :rule cnf_and_pos :args (@t56 1)) % 0.37/0.61 (step @p51 :rule reordering :premises (@p50) :args ((or @t54 @t66))) % 0.37/0.61 (step @p52 :rule bool-double-not-elim :args (@t62)) % 0.37/0.61 (step @p53 :rule refl :args (@t64)) % 0.37/0.61 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t64 (not @t63)))) % 0.37/0.61 (step @p55 :rule cnf_or_neg :args (@t64 0)) % 0.37/0.61 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 0.37/0.61 (step @p57 :rule reordering :premises (@p56) :args ((or @t62 @t64))) % 0.37/0.61 (step @p58 :rule cnf_or_neg :args (@t64 1)) % 0.37/0.61 (step @p59 :rule instantiate :premises (@p19) :args ((@list @t34 @t36))) % 0.37/0.61 (step @p60 :rule cnf_equiv_pos1 :args (@t70)) % 0.37/0.61 (step @p61 :rule reordering :premises (@p60) :args ((or @t72 @t69 @t71))) % 0.37/0.61 (step @p62 :rule instantiate :premises (@p19) :args ((@list @t33 @t34))) % 0.37/0.61 (step @p63 :rule bool-double-not-elim :args (@t42)) % 0.37/0.61 (step @p64 :rule refl :args (@t44)) % 0.37/0.61 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t44 (not @t43)))) % 0.37/0.61 (step @p66 :rule cnf_or_neg :args (@t44 0)) % 0.37/0.61 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.37/0.61 (step @p68 :rule reordering :premises (@p67) :args ((or @t42 @t44))) % 0.37/0.61 (step @p69 :rule chain_m_resolution :premises (@p68 @p31) :args (@t42 @t45 @t46)) % 0.37/0.61 (step @p70 :rule cnf_equiv_pos1 :args (@t74)) % 0.37/0.61 (step @p71 :rule reordering :premises (@p70) :args ((or @t43 @t73 (not @t74)))) % 0.37/0.61 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p62) :args (@t73 @t75 (@list @t42 @t74))) % 0.37/0.61 (step @p73 :rule instantiate :premises (@p72) :args (@t76)) % 0.37/0.61 (step @p74 :rule cnf_or_pos :args (@t78)) % 0.37/0.61 (step @p75 :rule reordering :premises (@p74) :args ((or @t63 @t77 (not @t78)))) % 0.37/0.61 (step @p76 :rule cnf_and_pos :args (@t79 1)) % 0.37/0.61 (step @p77 :rule reordering :premises (@p76) :args ((or @t63 (not @t79)))) % 0.37/0.61 (assume-push @p202 @t69) % 0.37/0.61 (step @p79 :rule instantiate :premises (@p202) :args (@t76)) % 0.37/0.61 (step-pop @p203 :rule scope :premises (@p79)) % 0.37/0.61 (step @p80 :rule process_scope :premises (@p203) :args (@t82)) % 0.37/0.61 (step @p82 :rule implies_elim :premises (@p80)) % 0.37/0.61 (step @p83 :rule instantiate :premises (@p7) :args ((@list @t60 @t33 @t34))) % 0.37/0.61 (step @p84 :rule cnf_equiv_pos1 :args (@t84)) % 0.37/0.61 (step @p85 :rule reordering :premises (@p84) :args ((or (not @t83) @t79 (not @t84)))) % 0.37/0.61 (step @p86 :rule cnf_or_pos :args (@t82)) % 0.37/0.61 (step @p87 :rule reordering :premises (@p86) :args ((or @t81 @t80 (not @t82)))) % 0.37/0.61 (step @p88 :rule cnf_or_pos :args (@t85)) % 0.37/0.61 (step @p89 :rule reordering :premises (@p88) :args ((or @t61 @t83 (not @t85)))) % 0.37/0.61 (step @p90 :rule instantiate :premises (@p5) :args ((@list @t60 @t35 @t32))) % 0.37/0.61 (step @p91 :rule cnf_equiv_pos1 :args (@t86)) % 0.37/0.61 (step @p92 :rule reordering :premises (@p91) :args ((or (not @t80) @t85 (not @t86)))) % 0.37/0.61 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p89 @p87 @p85 @p83 @p82 @p77 @p75 @p73 @p61 @p59 @p58 @p57 @p51 @p49 @p40 @p38 @p37 @p20 @p35 @p33) :args (@t38 (@list false true false true false false true false false false false true false false true false false true false false true) (@list @t86 @t85 @t80 @t83 @t84 @t82 @t79 @t77 @t78 @t69 @t70 @t61 @t62 @t54 @t64 @t56 @t57 @t49 @t50 @t37 @t39))) % 0.37/0.61 (step @p94 :rule cnf_equiv_pos1 :args (@t50)) % 0.37/0.61 (step @p95 :rule reordering :premises (@p94) :args ((or (not @t38) @t49 @t51))) % 0.37/0.61 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p20) :args (@t49 @t75 (@list @t38 @t50))) % 0.37/0.61 (step @p97 :rule instantiate :premises (@p7) :args ((@list @t87 @t33 @t34))) % 0.37/0.61 (step @p98 :rule instantiate :premises (@p5) :args ((@list @t87 @t35 @t32))) % 0.37/0.61 (step @p99 :rule instantiate :premises (@p19) :args (@t53)) % 0.37/0.61 (step @p100 :rule bool-double-not-elim :args (@t90)) % 0.37/0.61 (step @p101 :rule refl :args (@t93)) % 0.37/0.61 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or @t93 (not @t92)))) % 0.37/0.61 (step @p103 :rule cnf_or_neg :args (@t93 0)) % 0.37/0.61 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.37/0.61 (step @p105 :rule reordering :premises (@p104) :args ((or @t90 @t93))) % 0.37/0.61 (step @p106 :rule cnf_or_neg :args (@t93 1)) % 0.37/0.61 (step @p107 :rule instantiate :premises (@p5) :args ((@list @t89 @t35 @t32))) % 0.37/0.61 (step @p108 :rule cnf_equiv_pos1 :args (@t97)) % 0.37/0.61 (step @p109 :rule reordering :premises (@p108) :args ((or @t92 @t96 (not @t97)))) % 0.37/0.61 (step @p110 :rule instantiate :premises (@p19) :args ((@list @t32 @t34))) % 0.37/0.61 (step @p111 :rule bool-double-not-elim :args (@t40)) % 0.37/0.61 (step @p112 :rule nary_cong :premises (@p64 @p111) :args ((or @t44 (not @t41)))) % 0.37/0.61 (step @p113 :rule cnf_or_neg :args (@t44 1)) % 0.37/0.61 (step @p114 :rule eq_resolve :premises (@p113 @p112)) % 0.37/0.61 (step @p115 :rule reordering :premises (@p114) :args ((or @t40 @t44))) % 0.37/0.61 (step @p116 :rule chain_m_resolution :premises (@p115 @p31) :args (@t40 @t45 @t46)) % 0.37/0.61 (step @p117 :rule cnf_equiv_pos1 :args (@t99)) % 0.37/0.61 (step @p118 :rule reordering :premises (@p117) :args ((or @t41 @t98 (not @t99)))) % 0.37/0.61 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p110) :args (@t98 @t75 (@list @t40 @t99))) % 0.37/0.61 (step @p120 :rule instantiate :premises (@p119) :args ((@list @t89))) % 0.37/0.61 (step @p121 :rule cnf_or_pos :args (@t101)) % 0.37/0.61 (step @p122 :rule reordering :premises (@p121) :args ((or @t91 @t100 (not @t101)))) % 0.37/0.61 (step @p123 :rule cnf_and_pos :args (@t102 0)) % 0.37/0.61 (step @p124 :rule reordering :premises (@p123) :args ((or @t91 (not @t102)))) % 0.37/0.61 (step @p125 :rule cnf_or_pos :args (@t96)) % 0.37/0.61 (step @p126 :rule reordering :premises (@p125) :args ((or @t95 @t94 (not @t96)))) % 0.37/0.61 (step @p127 :rule instantiate :premises (@p7) :args ((@list @t89 @t33 @t34))) % 0.37/0.61 (step @p128 :rule cnf_equiv_pos1 :args (@t103)) % 0.37/0.61 (step @p129 :rule reordering :premises (@p128) :args ((or (not @t95) @t102 (not @t103)))) % 0.37/0.61 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p126 @p124 @p122 @p120 @p109 @p107 @p106 @p105) :args (@t93 (@list false false true true false false false true false) (@list @t103 @t95 @t102 @t94 @t101 @t96 @t97 @t91 @t90))) % 0.37/0.61 (step @p131 :rule refl :args (@t104)) % 0.37/0.61 (step @p132 :rule bool-double-not-elim :args (@t88)) % 0.37/0.61 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or (not @t105) @t104))) % 0.37/0.61 (assume-push @p204 @t105) % 0.37/0.61 (step @p135 :rule skolemize :premises (@p204)) % 0.37/0.61 (step-pop @p205 :rule scope :premises (@p135)) % 0.37/0.61 (step @p136 :rule process_scope :premises (@p205) :args (@t104)) % 0.37/0.61 (step @p138 :rule implies_elim :premises (@p136)) % 0.37/0.61 (step @p139 :rule eq_resolve :premises (@p138 @p133)) % 0.37/0.61 (step @p140 :rule chain_m_resolution :premises (@p139 @p130) :args (@t88 (@list false) (@list @t93))) % 0.37/0.61 (step @p141 :rule cnf_equiv_pos2 :args (@t106)) % 0.37/0.61 (step @p142 :rule reordering :premises (@p141) :args ((or @t55 @t105 (not @t106)))) % 0.37/0.61 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p99) :args (@t55 @t75 (@list @t88 @t106))) % 0.37/0.61 (step @p144 :rule cnf_equiv_neg2 :args (@t39)) % 0.37/0.61 (step @p145 :rule chain_m_resolution :premises (@p144 @p33 @p93) :args (@t59 @t107 (@list @t39 @t38))) % 0.37/0.61 (step @p146 :rule cnf_equiv_pos2 :args (@t57)) % 0.37/0.61 (step @p147 :rule reordering :premises (@p146) :args ((or @t37 @t66 @t58))) % 0.37/0.61 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p38) :args (@t66 @t107 (@list @t37 @t57))) % 0.37/0.61 (step @p149 :rule cnf_and_neg :args (@t56)) % 0.37/0.61 (step @p150 :rule chain_m_resolution :premises (@p149 @p148 @p143) :args (@t72 @t107 (@list @t56 @t55))) % 0.37/0.61 (step @p151 :rule cnf_equiv_pos2 :args (@t70)) % 0.37/0.61 (step @p152 :rule reordering :premises (@p151) :args ((or @t54 @t108 @t71))) % 0.37/0.61 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p59) :args (@t108 @t107 (@list @t54 @t70))) % 0.37/0.61 (step @p154 :rule refl :args (@t113)) % 0.37/0.61 (step @p155 :rule bool-double-not-elim :args (@t69)) % 0.37/0.61 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or (not @t108) @t113))) % 0.37/0.61 (assume-push @p206 @t108) % 0.37/0.61 (step @p158 :rule skolemize :premises (@p206)) % 0.37/0.61 (step-pop @p207 :rule scope :premises (@p158)) % 0.37/0.61 (step @p159 :rule process_scope :premises (@p207) :args (@t113)) % 0.37/0.61 (step @p161 :rule implies_elim :premises (@p159)) % 0.37/0.61 (step @p162 :rule eq_resolve :premises (@p161 @p156)) % 0.37/0.61 (step @p163 :rule chain_m_resolution :premises (@p162 @p153) :args (@t113 @t45 (@list @t69))) % 0.37/0.61 (step @p164 :rule cnf_or_neg :args (@t112 1)) % 0.37/0.61 (step @p165 :rule chain_m_resolution :premises (@p164 @p163) :args ((not @t109) @t45 @t114)) % 0.37/0.61 (step @p166 :rule cnf_equiv_pos2 :args (@t118)) % 0.37/0.61 (step @p167 :rule reordering :premises (@p166) :args ((or @t109 @t119 (not @t118)))) % 0.37/0.61 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p98) :args (@t119 @t107 (@list @t109 @t118))) % 0.37/0.61 (step @p169 :rule cnf_or_neg :args (@t117 0)) % 0.37/0.61 (step @p170 :rule chain_m_resolution :premises (@p169 @p168) :args ((not @t116) @t45 @t120)) % 0.37/0.61 (step @p171 :rule cnf_equiv_pos2 :args (@t124)) % 0.37/0.61 (step @p172 :rule reordering :premises (@p171) :args ((or @t116 @t125 (not @t124)))) % 0.37/0.61 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p97) :args (@t125 @t107 (@list @t116 @t124))) % 0.37/0.61 (step @p174 :rule bool-double-not-elim :args (@t110)) % 0.37/0.61 (step @p175 :rule refl :args (@t112)) % 0.37/0.61 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or @t112 (not @t111)))) % 0.37/0.61 (step @p177 :rule cnf_or_neg :args (@t112 0)) % 0.37/0.61 (step @p178 :rule eq_resolve :premises (@p177 @p176)) % 0.37/0.61 (step @p179 :rule reordering :premises (@p178) :args ((or @t110 @t112))) % 0.37/0.61 (step @p180 :rule chain_m_resolution :premises (@p179 @p163) :args (@t110 @t45 @t114)) % 0.37/0.61 (step @p181 :rule bool-double-not-elim :args (@t121)) % 0.37/0.61 (step @p182 :rule refl :args (@t111)) % 0.37/0.61 (step @p183 :rule refl :args (@t123)) % 0.37/0.61 (step @p184 :rule nary_cong :premises (@p183 @p182 @p181) :args ((or @t123 @t111 (not @t122)))) % 0.37/0.61 (step @p185 :rule cnf_and_neg :args (@t123)) % 0.37/0.61 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.37/0.61 (step @p187 :rule reordering :premises (@p186) :args ((or @t111 @t121 @t123))) % 0.37/0.61 (step @p188 :rule chain_m_resolution :premises (@p187 @p180 @p173) :args (@t121 (@list false true) (@list @t110 @t123))) % 0.37/0.61 (step @p189 :rule cnf_or_neg :args (@t117 1)) % 0.37/0.61 (step @p190 :rule chain_m_resolution :premises (@p189 @p168) :args ((not @t115) @t45 @t120)) % 0.37/0.61 (step @p191 :rule cnf_or_pos :args (@t126)) % 0.37/0.61 (step @p192 :rule reordering :premises (@p191) :args ((or @t115 @t122 @t127))) % 0.37/0.61 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p188) :args (@t127 @t107 (@list @t115 @t121))) % 0.37/0.61 (assume-push @p208 @t49) % 0.37/0.61 (step @p195 :rule instantiate :premises (@p208) :args ((@list @t87))) % 0.37/0.61 (step-pop @p209 :rule scope :premises (@p195)) % 0.37/0.61 (step @p196 :rule process_scope :premises (@p209) :args (@t126)) % 0.37/0.61 (step @p198 :rule implies_elim :premises (@p196)) % 0.37/0.61 (step @p199 false :rule chain_m_resolution :premises (@p198 @p193 @p96) :args (false @t107 (@list @t126 @t49))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------