%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET600+3 : 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 : n010.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 08:48:10 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET600+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n010.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:03:55 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.empty_set $$unsorted) % 0.38/0.59 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "D" $$unsorted)) % 0.38/0.59 (define @t3 () (tptp.member @t2 @t1)) % 0.38/0.59 (define @t4 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t5 () (tptp.member @t2 @t4)) % 0.38/0.59 (define @t6 () (tptp.union @t4 @t1)) % 0.38/0.59 (define @t7 () (@list @t4)) % 0.38/0.59 (define @t8 () (tptp.subset @t4 @t1)) % 0.38/0.59 (define @t9 () (= @t4 @t1)) % 0.38/0.59 (define @t10 () (@list @t4 @t1)) % 0.38/0.59 (define @t11 () (@list @t2)) % 0.38/0.59 (define @t12 () (@list @t1)) % 0.38/0.59 (define @t13 () (forall @t10 (= @t9 (forall @t11 (= @t5 @t3))))) % 0.38/0.59 (define @t14 () (forall @t10 (= (= @t6 tptp.empty_set) (and (= @t4 tptp.empty_set) (= @t1 tptp.empty_set))))) % 0.38/0.59 (define @t15 () (not @t14)) % 0.38/0.59 (define @t16 () (@quantifiers_skolemize @t14 1)) % 0.38/0.59 (define @t17 () (= tptp.empty_set @t16)) % 0.38/0.59 (define @t18 () (@quantifiers_skolemize @t14 0)) % 0.38/0.59 (define @t19 () (= tptp.empty_set @t18)) % 0.38/0.59 (define @t20 () (and @t19 @t17)) % 0.38/0.59 (define @t21 () (tptp.union @t18 @t16)) % 0.38/0.59 (define @t22 () (= tptp.empty_set @t21)) % 0.38/0.59 (define @t23 () (= @t22 @t20)) % 0.38/0.59 (define @t24 () (not @t23)) % 0.38/0.59 (define @t25 () (and (= @t18 tptp.empty_set) (= @t16 tptp.empty_set))) % 0.38/0.59 (define @t26 () (= (= @t21 tptp.empty_set) @t25)) % 0.38/0.59 (define @t27 () (not @t26)) % 0.38/0.59 (define @t28 () (@list true)) % 0.38/0.59 (define @t29 () (not @t20)) % 0.38/0.59 (define @t30 () (= @t16 @t21)) % 0.38/0.59 (define @t31 () (not @t30)) % 0.38/0.59 (define @t32 () (not @t17)) % 0.38/0.59 (define @t33 () (not @t22)) % 0.38/0.59 (define @t34 () (and @t17 @t33)) % 0.38/0.59 (define @t35 () (tptp.member @t2 @t16)) % 0.38/0.59 (define @t36 () (forall @t11 (= @t35 (tptp.member @t2 @t21)))) % 0.38/0.59 (define @t37 () (@quantifiers_skolemize @t36 0)) % 0.38/0.59 (define @t38 () (tptp.member @t37 @t18)) % 0.38/0.59 (define @t39 () (not @t38)) % 0.38/0.59 (define @t40 () (tptp.member @t37 tptp.empty_set)) % 0.38/0.59 (define @t41 () (not @t19)) % 0.38/0.59 (define @t42 () (not @t40)) % 0.38/0.59 (define @t43 () (not @t42)) % 0.38/0.59 (define @t44 () (and @t19 @t42)) % 0.38/0.59 (define @t45 () (tptp.member @t37 @t16)) % 0.38/0.59 (define @t46 () (not @t45)) % 0.38/0.59 (define @t47 () (and @t17 @t42)) % 0.38/0.59 (define @t48 () (= @t30 @t36)) % 0.38/0.59 (define @t49 () (not @t36)) % 0.38/0.59 (define @t50 () (or @t38 @t45)) % 0.38/0.59 (define @t51 () (not @t50)) % 0.38/0.59 (define @t52 () (tptp.member @t37 @t21)) % 0.38/0.59 (define @t53 () (= @t45 @t52)) % 0.38/0.59 (define @t54 () (not @t53)) % 0.38/0.59 (define @t55 () (= @t52 @t50)) % 0.38/0.59 (define @t56 () (not @t55)) % 0.38/0.59 (define @t57 () (not @t52)) % 0.38/0.59 (define @t58 () (and @t22 @t42)) % 0.38/0.59 (define @t59 () (@list true false)) % 0.38/0.59 (define @t60 () (@list true true)) % 0.38/0.59 (define @t61 () (@list false)) % 0.38/0.59 (define @t62 () (@list false false)) % 0.38/0.59 (define @t63 () (forall @t11 (= @t35 (tptp.member @t2 @t18)))) % 0.38/0.59 (define @t64 () (@quantifiers_skolemize @t63 0)) % 0.38/0.59 (define @t65 () (@list @t64)) % 0.38/0.59 (define @t66 () (= @t16 @t18)) % 0.38/0.59 (define @t67 () (= @t66 @t63)) % 0.38/0.59 (define @t68 () (= @t18 @t16)) % 0.38/0.59 (define @t69 () (= @t68 @t63)) % 0.38/0.59 (define @t70 () (and @t22 @t30)) % 0.38/0.59 (define @t71 () (not @t68)) % 0.38/0.59 (define @t72 () (and @t22 @t41 @t30)) % 0.38/0.59 (define @t73 () (not @t63)) % 0.38/0.59 (define @t74 () (tptp.member @t64 @t18)) % 0.38/0.59 (define @t75 () (tptp.member @t64 @t16)) % 0.38/0.59 (define @t76 () (= @t75 @t74)) % 0.38/0.59 (define @t77 () (not @t76)) % 0.38/0.59 (define @t78 () (forall @t12 (not (tptp.member @t1 @t16)))) % 0.38/0.59 (define @t79 () (@quantifiers_skolemize @t78 0)) % 0.38/0.59 (define @t80 () (tptp.member @t79 @t16)) % 0.38/0.59 (define @t81 () (not @t80)) % 0.38/0.59 (define @t82 () (tptp.member @t79 tptp.empty_set)) % 0.38/0.59 (define @t83 () (not @t82)) % 0.38/0.59 (define @t84 () (and @t22 @t30 @t83)) % 0.38/0.59 (define @t85 () (not @t78)) % 0.38/0.59 (define @t86 () (not @t81)) % 0.38/0.59 (define @t87 () (not @t75)) % 0.38/0.59 (define @t88 () (or @t75 @t74)) % 0.38/0.59 (define @t89 () (tptp.union @t16 @t18)) % 0.38/0.59 (define @t90 () (tptp.member @t64 @t89)) % 0.38/0.59 (define @t91 () (= @t90 @t88)) % 0.38/0.59 (define @t92 () (not @t90)) % 0.38/0.59 (define @t93 () (tptp.member @t64 tptp.empty_set)) % 0.38/0.59 (define @t94 () (= @t21 @t89)) % 0.38/0.59 (define @t95 () (not @t94)) % 0.38/0.59 (define @t96 () (not @t93)) % 0.38/0.59 (define @t97 () (and @t90 @t94 @t30 @t22 @t96)) % 0.38/0.59 (assume @p1 (forall (@list @t4 @t1 @t2) (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 0.38/0.59 (assume @p2 (forall @t7 (not (tptp.member @t4 tptp.empty_set)))) % 0.38/0.59 (assume @p3 (forall @t10 (= @t9 (and @t8 (tptp.subset @t1 @t4))))) % 0.38/0.59 (assume @p4 (forall @t10 (= @t6 (tptp.union @t1 @t4)))) % 0.38/0.59 (assume @p5 (forall @t10 (= @t8 (forall @t11 (=> @t5 @t3))))) % 0.38/0.59 (assume @p6 (forall @t7 (tptp.subset @t4 @t4))) % 0.38/0.59 (assume @p7 (forall @t7 (= (tptp.empty @t4) (forall @t12 (not (tptp.member @t1 @t4)))))) % 0.38/0.59 (assume @p8 @t13) % 0.38/0.59 (assume @p9 @t15) % 0.38/0.59 (assume @p10 true) % 0.38/0.59 (step @p11 :rule refl :args (@t24)) % 0.38/0.59 (step @p12 :rule bool-double-not-elim :args (@t14)) % 0.38/0.59 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or (not @t15) @t24))) % 0.38/0.59 (step @p14 :rule eq-symm :args (@t16 tptp.empty_set)) % 0.38/0.59 (step @p15 :rule eq-symm :args (@t18 tptp.empty_set)) % 0.38/0.59 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t25)) % 0.38/0.59 (step @p17 :rule eq-symm :args (@t21 tptp.empty_set)) % 0.38/0.59 (step @p18 :rule cong :premises (@p17 @p16) :args (@t26)) % 0.38/0.59 (step @p19 :rule cong :premises (@p18) :args (@t27)) % 0.38/0.59 (step @p20 :rule refl :args (@t15)) % 0.38/0.59 (step @p21 :rule cong :premises (@p20 @p19) :args ((=> @t15 @t27))) % 0.38/0.59 (assume-push @p363 @t15) % 0.38/0.59 (step @p23 :rule skolemize :premises (@p9)) % 0.38/0.59 (step-pop @p364 :rule scope :premises (@p23)) % 0.38/0.59 (step @p24 :rule process_scope :premises (@p364) :args (@t27)) % 0.38/0.59 (step @p26 :rule eq_resolve :premises (@p24 @p21)) % 0.38/0.59 (step @p27 :rule implies_elim :premises (@p26)) % 0.38/0.59 (step @p28 :rule eq_resolve :premises (@p27 @p13)) % 0.38/0.59 (step @p29 :rule chain_m_resolution :premises (@p28 @p9) :args (@t24 @t28 (@list @t14))) % 0.38/0.59 (step @p30 :rule cnf_equiv_neg1 :args (@t23)) % 0.38/0.59 (step @p31 :rule reordering :premises (@p30) :args ((or @t22 @t20 @t23))) % 0.38/0.59 (step @p32 :rule cnf_and_pos :args (@t20 0)) % 0.38/0.59 (step @p33 :rule reordering :premises (@p32) :args ((or @t19 @t29))) % 0.38/0.59 (step @p34 :rule cnf_and_pos :args (@t20 1)) % 0.38/0.59 (step @p35 :rule reordering :premises (@p34) :args ((or @t17 @t29))) % 0.38/0.59 (step @p36 :rule refl :args (@t31)) % 0.38/0.59 (step @p37 :rule bool-double-not-elim :args (@t22)) % 0.38/0.59 (step @p38 :rule refl :args (@t32)) % 0.38/0.59 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36) :args ((or @t32 (not @t33) @t31))) % 0.38/0.59 (assume-push @p365 @t17) % 0.38/0.59 (assume-push @p366 @t33) % 0.38/0.59 (assume-push @p367 @t33) % 0.38/0.59 (assume-push @p368 @t17) % 0.38/0.59 (step @p44 :rule false_intro :premises (@p366)) % 0.38/0.59 (step @p45 :rule refl :args (@t21)) % 0.38/0.59 (step @p46 :rule symm :premises (@p365)) % 0.38/0.59 (step @p47 :rule cong :premises (@p46 @p45) :args (@t30)) % 0.38/0.59 (step @p48 :rule trans :premises (@p47 @p44)) % 0.38/0.59 (step @p49 :rule false_elim :premises (@p48)) % 0.38/0.59 (step-pop @p369 :rule scope :premises (@p49)) % 0.38/0.59 (step-pop @p370 :rule scope :premises (@p369)) % 0.38/0.59 (step @p50 :rule process_scope :premises (@p370) :args (@t31)) % 0.38/0.59 (step @p53 :rule and_intro :premises (@p366 @p365)) % 0.38/0.59 (step @p54 :rule modus_ponens :premises (@p53 @p50)) % 0.38/0.59 (step-pop @p371 :rule scope :premises (@p54)) % 0.38/0.59 (step-pop @p372 :rule scope :premises (@p371)) % 0.38/0.59 (step @p55 :rule process_scope :premises (@p372) :args (@t31)) % 0.38/0.59 (step @p58 :rule implies_elim :premises (@p55)) % 0.38/0.59 (step @p59 :rule cnf_and_neg :args (@t34)) % 0.38/0.59 (step @p60 :rule resolution :premises (@p59 @p58) :args (true @t34)) % 0.38/0.59 (step @p61 :rule eq_resolve :premises (@p60 @p39)) % 0.38/0.59 (step @p62 :rule reordering :premises (@p61) :args ((or @t22 @t32 @t31))) % 0.38/0.59 (step @p63 :rule instantiate :premises (@p2) :args ((@list @t37))) % 0.38/0.59 (step @p64 :rule refl :args (@t39)) % 0.38/0.59 (step @p65 :rule bool-double-not-elim :args (@t40)) % 0.38/0.59 (step @p66 :rule refl :args (@t41)) % 0.38/0.59 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64) :args ((or @t41 @t43 @t39))) % 0.38/0.59 (assume-push @p373 @t19) % 0.38/0.59 (assume-push @p374 @t42) % 0.38/0.59 (assume-push @p375 @t42) % 0.38/0.59 (assume-push @p376 @t19) % 0.38/0.59 (step @p72 :rule false_intro :premises (@p63)) % 0.38/0.59 (step @p73 :rule symm :premises (@p373)) % 0.38/0.59 (step @p74 :rule refl :args (@t37)) % 0.38/0.59 (step @p75 :rule cong :premises (@p74 @p73) :args (@t38)) % 0.38/0.59 (step @p76 :rule trans :premises (@p75 @p72)) % 0.38/0.59 (step @p77 :rule false_elim :premises (@p76)) % 0.38/0.59 (step-pop @p377 :rule scope :premises (@p77)) % 0.38/0.59 (step-pop @p378 :rule scope :premises (@p377)) % 0.38/0.59 (step @p78 :rule process_scope :premises (@p378) :args (@t39)) % 0.38/0.59 (step @p81 :rule and_intro :premises (@p63 @p373)) % 0.38/0.59 (step @p82 :rule modus_ponens :premises (@p81 @p78)) % 0.38/0.59 (step-pop @p379 :rule scope :premises (@p82)) % 0.38/0.59 (step-pop @p380 :rule scope :premises (@p379)) % 0.38/0.59 (step @p83 :rule process_scope :premises (@p380) :args (@t39)) % 0.38/0.59 (step @p86 :rule implies_elim :premises (@p83)) % 0.38/0.59 (step @p87 :rule cnf_and_neg :args (@t44)) % 0.38/0.59 (step @p88 :rule resolution :premises (@p87 @p86) :args (true @t44)) % 0.38/0.59 (step @p89 :rule eq_resolve :premises (@p88 @p67)) % 0.38/0.59 (step @p90 :rule refl :args (@t46)) % 0.38/0.59 (step @p91 :rule nary_cong :premises (@p38 @p65 @p90) :args ((or @t32 @t43 @t46))) % 0.38/0.59 (assume-push @p381 @t17) % 0.38/0.59 (assume-push @p382 @t42) % 0.38/0.59 (assume-push @p383 @t42) % 0.38/0.59 (assume-push @p384 @t17) % 0.38/0.59 (step @p72 :rule false_intro :premises (@p63)) % 0.38/0.59 (step @p96 :rule symm :premises (@p381)) % 0.38/0.59 (step @p74 :rule refl :args (@t37)) % 0.38/0.59 (step @p97 :rule cong :premises (@p74 @p96) :args (@t45)) % 0.38/0.59 (step @p98 :rule trans :premises (@p97 @p72)) % 0.38/0.59 (step @p99 :rule false_elim :premises (@p98)) % 0.38/0.59 (step-pop @p385 :rule scope :premises (@p99)) % 0.38/0.59 (step-pop @p386 :rule scope :premises (@p385)) % 0.38/0.59 (step @p100 :rule process_scope :premises (@p386) :args (@t46)) % 0.38/0.59 (step @p103 :rule and_intro :premises (@p63 @p381)) % 0.38/0.59 (step @p104 :rule modus_ponens :premises (@p103 @p100)) % 0.38/0.59 (step-pop @p387 :rule scope :premises (@p104)) % 0.38/0.59 (step-pop @p388 :rule scope :premises (@p387)) % 0.38/0.59 (step @p105 :rule process_scope :premises (@p388) :args (@t46)) % 0.38/0.59 (step @p108 :rule implies_elim :premises (@p105)) % 0.38/0.59 (step @p109 :rule cnf_and_neg :args (@t47)) % 0.38/0.59 (step @p110 :rule resolution :premises (@p109 @p108) :args (true @t47)) % 0.38/0.59 (step @p111 :rule eq_resolve :premises (@p110 @p91)) % 0.38/0.59 (step @p112 :rule reordering :premises (@p111) :args ((or @t32 @t46 @t40))) % 0.38/0.59 (step @p113 :rule instantiate :premises (@p8) :args ((@list @t16 @t21))) % 0.38/0.59 (step @p114 :rule cnf_equiv_pos2 :args (@t48)) % 0.38/0.59 (step @p115 :rule reordering :premises (@p114) :args ((or @t30 @t49 (not @t48)))) % 0.38/0.59 (step @p116 :rule cnf_or_pos :args (@t50)) % 0.38/0.59 (step @p117 :rule reordering :premises (@p116) :args ((or @t45 @t38 @t51))) % 0.38/0.59 (step @p118 :rule refl :args (@t54)) % 0.38/0.59 (step @p119 :rule bool-double-not-elim :args (@t36)) % 0.38/0.59 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t49) @t54))) % 0.38/0.59 (assume-push @p389 @t49) % 0.38/0.59 (step @p122 :rule skolemize :premises (@p389)) % 0.38/0.59 (step-pop @p390 :rule scope :premises (@p122)) % 0.38/0.59 (step @p123 :rule process_scope :premises (@p390) :args (@t54)) % 0.38/0.59 (step @p125 :rule implies_elim :premises (@p123)) % 0.38/0.59 (step @p126 :rule eq_resolve :premises (@p125 @p120)) % 0.38/0.59 (step @p127 :rule instantiate :premises (@p1) :args ((@list @t18 @t16 @t37))) % 0.38/0.59 (step @p128 :rule cnf_equiv_pos1 :args (@t55)) % 0.38/0.59 (step @p129 :rule reordering :premises (@p128) :args ((or @t57 @t50 @t56))) % 0.38/0.59 (step @p130 :rule cnf_equiv_neg1 :args (@t53)) % 0.38/0.59 (step @p131 :rule reordering :premises (@p130) :args ((or @t45 @t52 @t53))) % 0.38/0.59 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p127 @p126 @p117 @p115 @p113 @p112 @p63 @p89 @p63 @p62 @p35 @p33 @p31 @p29) :args (@t22 (@list true false true true true false true true true true true false false false true) (@list @t52 @t55 @t53 @t50 @t36 @t48 @t45 @t40 @t38 @t40 @t30 @t17 @t19 @t20 @t23))) % 0.38/0.59 (step @p133 :rule refl :args (@t57)) % 0.38/0.59 (step @p134 :rule refl :args (@t33)) % 0.38/0.59 (step @p135 :rule nary_cong :premises (@p134 @p65 @p133) :args ((or @t33 @t43 @t57))) % 0.38/0.59 (assume-push @p391 @t22) % 0.38/0.59 (assume-push @p392 @t42) % 0.38/0.59 (assume-push @p393 @t42) % 0.38/0.59 (assume-push @p394 @t22) % 0.38/0.59 (step @p72 :rule false_intro :premises (@p63)) % 0.38/0.59 (step @p140 :rule symm :premises (@p391)) % 0.38/0.59 (step @p74 :rule refl :args (@t37)) % 0.38/0.59 (step @p141 :rule cong :premises (@p74 @p140) :args (@t52)) % 0.38/0.59 (step @p142 :rule trans :premises (@p141 @p72)) % 0.38/0.59 (step @p143 :rule false_elim :premises (@p142)) % 0.38/0.59 (step-pop @p395 :rule scope :premises (@p143)) % 0.38/0.59 (step-pop @p396 :rule scope :premises (@p395)) % 0.38/0.59 (step @p144 :rule process_scope :premises (@p396) :args (@t57)) % 0.38/0.59 (step @p147 :rule and_intro :premises (@p63 @p391)) % 0.38/0.59 (step @p148 :rule modus_ponens :premises (@p147 @p144)) % 0.38/0.59 (step-pop @p397 :rule scope :premises (@p148)) % 0.38/0.59 (step-pop @p398 :rule scope :premises (@p397)) % 0.38/0.59 (step @p149 :rule process_scope :premises (@p398) :args (@t57)) % 0.38/0.59 (step @p152 :rule implies_elim :premises (@p149)) % 0.38/0.59 (step @p153 :rule cnf_and_neg :args (@t58)) % 0.38/0.59 (step @p154 :rule resolution :premises (@p153 @p152) :args (true @t58)) % 0.38/0.59 (step @p155 :rule eq_resolve :premises (@p154 @p135)) % 0.38/0.59 (step @p156 :rule reordering :premises (@p155) :args ((or @t33 @t57 @t40))) % 0.38/0.59 (step @p157 :rule chain_m_resolution :premises (@p156 @p132 @p63) :args (@t57 (@list false true) (@list @t22 @t40))) % 0.38/0.59 (step @p158 :rule cnf_equiv_pos2 :args (@t55)) % 0.38/0.59 (step @p159 :rule reordering :premises (@p158) :args ((or @t52 @t51 @t56))) % 0.38/0.59 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p127) :args (@t51 @t59 (@list @t52 @t55))) % 0.38/0.59 (step @p161 :rule cnf_or_neg :args (@t50 1)) % 0.38/0.59 (step @p162 :rule reordering :premises (@p161) :args ((or @t46 @t50))) % 0.38/0.59 (step @p163 :rule chain_m_resolution :premises (@p162 @p160) :args (@t46 @t28 (@list @t50))) % 0.38/0.59 (step @p164 :rule chain_m_resolution :premises (@p131 @p163 @p157) :args (@t53 @t60 (@list @t45 @t52))) % 0.38/0.59 (step @p165 :rule chain_m_resolution :premises (@p126 @p164) :args (@t36 @t61 (@list @t53))) % 0.38/0.59 (step @p166 :rule chain_m_resolution :premises (@p115 @p165 @p113) :args (@t30 @t62 (@list @t36 @t48))) % 0.38/0.59 (step @p167 :rule instantiate :premises (@p4) :args ((@list @t18 @t16))) % 0.38/0.59 (step @p168 :rule instantiate :premises (@p2) :args (@t65)) % 0.38/0.59 (step @p169 :rule instantiate :premises (@p1) :args ((@list @t16 @t18 @t64))) % 0.38/0.59 (step @p170 :rule refl :args (@t63)) % 0.38/0.59 (step @p171 :rule eq-symm :args (@t16 @t18)) % 0.38/0.59 (step @p172 :rule cong :premises (@p171 @p170) :args (@t67)) % 0.38/0.59 (step @p173 :rule refl :args (@t13)) % 0.38/0.59 (step @p174 :rule cong :premises (@p173 @p172) :args ((=> @t13 @t67))) % 0.38/0.59 (assume-push @p399 @t13) % 0.38/0.59 (step @p176 :rule instantiate :premises (@p8) :args ((@list @t16 @t18))) % 0.38/0.59 (step-pop @p400 :rule scope :premises (@p176)) % 0.38/0.59 (step @p177 :rule process_scope :premises (@p400) :args (@t67)) % 0.38/0.59 (step @p179 :rule eq_resolve :premises (@p177 @p174)) % 0.38/0.59 (step @p180 :rule implies_elim :premises (@p179)) % 0.38/0.59 (step @p181 :rule chain_m_resolution :premises (@p180 @p8) :args (@t69 @t61 (@list @t13))) % 0.38/0.59 (assume-push @p401 @t22) % 0.38/0.59 (assume-push @p402 @t30) % 0.38/0.59 (assume-push @p403 @t30) % 0.38/0.59 (assume-push @p404 @t22) % 0.38/0.59 (step @p186 :rule symm :premises (@p402)) % 0.38/0.59 (step @p187 :rule trans :premises (@p401 @p186)) % 0.38/0.59 (step-pop @p405 :rule scope :premises (@p187)) % 0.38/0.59 (step-pop @p406 :rule scope :premises (@p405)) % 0.38/0.59 (step @p188 :rule process_scope :premises (@p406) :args (@t17)) % 0.38/0.59 (step @p191 :rule and_intro :premises (@p402 @p401)) % 0.38/0.59 (step @p192 :rule modus_ponens :premises (@p191 @p188)) % 0.38/0.59 (step-pop @p407 :rule scope :premises (@p192)) % 0.38/0.59 (step-pop @p408 :rule scope :premises (@p407)) % 0.38/0.59 (step @p193 :rule process_scope :premises (@p408) :args (@t17)) % 0.38/0.59 (step @p196 :rule implies_elim :premises (@p193)) % 0.38/0.59 (step @p197 :rule cnf_and_neg :args (@t70)) % 0.38/0.59 (step @p198 :rule resolution :premises (@p197 @p196) :args (true @t70)) % 0.38/0.59 (step @p199 :rule reordering :premises (@p198) :args ((or @t17 @t33 @t31))) % 0.38/0.59 (step @p200 :rule chain_m_resolution :premises (@p199 @p132 @p166) :args (@t17 @t62 (@list @t22 @t30))) % 0.38/0.59 (step @p201 :rule cnf_equiv_neg2 :args (@t23)) % 0.38/0.59 (step @p202 :rule chain_m_resolution :premises (@p201 @p29 @p132) :args (@t29 @t59 (@list @t23 @t22))) % 0.38/0.59 (step @p203 :rule cnf_and_neg :args (@t20)) % 0.38/0.59 (step @p204 :rule chain_m_resolution :premises (@p203 @p202 @p200) :args (@t41 @t59 (@list @t20 @t17))) % 0.38/0.59 (step @p205 :rule refl :args (@t71)) % 0.38/0.59 (step @p206 :rule bool-double-not-elim :args (@t19)) % 0.38/0.59 (step @p207 :rule nary_cong :premises (@p134 @p206 @p36 @p205) :args ((or @t33 (not @t41) @t31 @t71))) % 0.38/0.59 (assume-push @p409 @t22) % 0.38/0.59 (assume-push @p410 @t41) % 0.38/0.59 (assume-push @p411 @t30) % 0.38/0.59 (assume-push @p412 @t22) % 0.38/0.59 (assume-push @p413 @t30) % 0.38/0.59 (assume-push @p414 @t41) % 0.38/0.59 (step @p214 :rule bool-eq-false :args (@t68)) % 0.38/0.59 (step @p215 :rule symm :premises (@p214)) % 0.38/0.59 (step @p216 :rule cong :premises (@p171) :args ((not @t66))) % 0.38/0.59 (step @p217 :rule bool-eq-false :args (@t66)) % 0.38/0.59 (step @p218 :rule trans :premises (@p217 @p216)) % 0.38/0.59 (step @p219 :rule trans :premises (@p218 @p215)) % 0.38/0.59 (step @p220 :rule false_intro :premises (@p410)) % 0.38/0.59 (step @p221 :rule refl :args (@t18)) % 0.38/0.59 (step @p222 :rule symm :premises (@p409)) % 0.38/0.59 (step @p223 :rule trans :premises (@p411 @p222)) % 0.38/0.59 (step @p224 :rule cong :premises (@p223 @p221) :args (@t66)) % 0.38/0.59 (step @p225 :rule trans :premises (@p224 @p220)) % 0.38/0.59 (step @p226 :rule eq_resolve :premises (@p225 @p219)) % 0.38/0.59 (step @p227 :rule false_elim :premises (@p226)) % 0.38/0.59 (step-pop @p415 :rule scope :premises (@p227)) % 0.38/0.59 (step-pop @p416 :rule scope :premises (@p415)) % 0.38/0.59 (step-pop @p417 :rule scope :premises (@p416)) % 0.38/0.59 (step @p228 :rule process_scope :premises (@p417) :args (@t71)) % 0.38/0.59 (step @p232 :rule and_intro :premises (@p409 @p411 @p410)) % 0.38/0.59 (step @p233 :rule modus_ponens :premises (@p232 @p228)) % 0.38/0.59 (step-pop @p418 :rule scope :premises (@p233)) % 0.38/0.59 (step-pop @p419 :rule scope :premises (@p418)) % 0.38/0.59 (step-pop @p420 :rule scope :premises (@p419)) % 0.38/0.59 (step @p234 :rule process_scope :premises (@p420) :args (@t71)) % 0.38/0.59 (step @p238 :rule implies_elim :premises (@p234)) % 0.38/0.59 (step @p239 :rule cnf_and_neg :args (@t72)) % 0.38/0.59 (step @p240 :rule resolution :premises (@p239 @p238) :args (true @t72)) % 0.38/0.59 (step @p241 :rule eq_resolve :premises (@p240 @p207)) % 0.38/0.59 (step @p242 :rule reordering :premises (@p241) :args ((or @t19 @t33 @t31 @t71))) % 0.38/0.59 (step @p243 :rule chain_m_resolution :premises (@p242 @p204 @p132 @p166) :args (@t71 (@list true false false) (@list @t19 @t22 @t30))) % 0.38/0.59 (step @p244 :rule cnf_equiv_pos2 :args (@t69)) % 0.38/0.59 (step @p245 :rule reordering :premises (@p244) :args ((or @t68 @t73 (not @t69)))) % 0.38/0.59 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p181) :args (@t73 @t59 (@list @t68 @t69))) % 0.38/0.59 (step @p247 :rule refl :args (@t77)) % 0.38/0.59 (step @p248 :rule bool-double-not-elim :args (@t63)) % 0.38/0.59 (step @p249 :rule nary_cong :premises (@p248 @p247) :args ((or (not @t73) @t77))) % 0.38/0.59 (assume-push @p421 @t73) % 0.38/0.59 (step @p251 :rule skolemize :premises (@p421)) % 0.38/0.59 (step-pop @p422 :rule scope :premises (@p251)) % 0.38/0.59 (step @p252 :rule process_scope :premises (@p422) :args (@t77)) % 0.38/0.59 (step @p254 :rule implies_elim :premises (@p252)) % 0.38/0.59 (step @p255 :rule eq_resolve :premises (@p254 @p249)) % 0.38/0.59 (step @p256 :rule chain_m_resolution :premises (@p255 @p246) :args (@t77 @t28 (@list @t63))) % 0.38/0.59 (step @p257 :rule instantiate :premises (@p2) :args ((@list @t79))) % 0.38/0.59 (step @p258 :rule refl :args (@t81)) % 0.38/0.59 (step @p259 :rule bool-double-not-elim :args (@t82)) % 0.38/0.59 (step @p260 :rule nary_cong :premises (@p134 @p36 @p259 @p258) :args ((or @t33 @t31 (not @t83) @t81))) % 0.38/0.59 (assume-push @p423 @t22) % 0.38/0.59 (assume-push @p424 @t30) % 0.38/0.59 (assume-push @p425 @t83) % 0.38/0.59 (assume-push @p426 @t83) % 0.38/0.59 (assume-push @p427 @t22) % 0.38/0.59 (assume-push @p428 @t30) % 0.38/0.59 (step @p267 :rule false_intro :premises (@p257)) % 0.38/0.59 (step @p268 :rule symm :premises (@p423)) % 0.38/0.59 (step @p269 :rule trans :premises (@p424 @p268)) % 0.38/0.59 (step @p270 :rule refl :args (@t79)) % 0.38/0.59 (step @p271 :rule cong :premises (@p270 @p269) :args (@t80)) % 0.38/0.59 (step @p272 :rule trans :premises (@p271 @p267)) % 0.38/0.59 (step @p273 :rule false_elim :premises (@p272)) % 0.38/0.59 (step-pop @p429 :rule scope :premises (@p273)) % 0.38/0.59 (step-pop @p430 :rule scope :premises (@p429)) % 0.38/0.59 (step-pop @p431 :rule scope :premises (@p430)) % 0.38/0.59 (step @p274 :rule process_scope :premises (@p431) :args (@t81)) % 0.38/0.59 (step @p278 :rule and_intro :premises (@p257 @p423 @p424)) % 0.38/0.59 (step @p279 :rule modus_ponens :premises (@p278 @p274)) % 0.38/0.59 (step-pop @p432 :rule scope :premises (@p279)) % 0.38/0.59 (step-pop @p433 :rule scope :premises (@p432)) % 0.38/0.59 (step-pop @p434 :rule scope :premises (@p433)) % 0.38/0.59 (step @p280 :rule process_scope :premises (@p434) :args (@t81)) % 0.38/0.59 (step @p284 :rule implies_elim :premises (@p280)) % 0.38/0.59 (step @p285 :rule cnf_and_neg :args (@t84)) % 0.38/0.59 (step @p286 :rule resolution :premises (@p285 @p284) :args (true @t84)) % 0.38/0.59 (step @p287 :rule eq_resolve :premises (@p286 @p260)) % 0.38/0.59 (step @p288 :rule reordering :premises (@p287) :args ((or @t33 @t31 @t81 @t82))) % 0.38/0.59 (step @p289 :rule chain_m_resolution :premises (@p288 @p132 @p166 @p257) :args (@t81 (@list false false true) (@list @t22 @t30 @t82))) % 0.38/0.59 (step @p290 :rule refl :args (@t80)) % 0.38/0.59 (step @p291 :rule bool-double-not-elim :args (@t78)) % 0.38/0.59 (step @p292 :rule nary_cong :premises (@p291 @p290) :args ((or (not @t85) @t80))) % 0.38/0.59 (step @p293 :rule bool-double-not-elim :args (@t80)) % 0.38/0.59 (step @p294 :rule refl :args (@t85)) % 0.38/0.59 (step @p295 :rule cong :premises (@p294 @p293) :args ((=> @t85 @t86))) % 0.38/0.59 (assume-push @p435 @t85) % 0.38/0.59 (step @p297 :rule skolemize :premises (@p435)) % 0.38/0.59 (step-pop @p436 :rule scope :premises (@p297)) % 0.38/0.59 (step @p298 :rule process_scope :premises (@p436) :args (@t86)) % 0.38/0.59 (step @p300 :rule eq_resolve :premises (@p298 @p295)) % 0.38/0.59 (step @p301 :rule implies_elim :premises (@p300)) % 0.38/0.59 (step @p302 :rule eq_resolve :premises (@p301 @p292)) % 0.38/0.59 (step @p303 :rule chain_m_resolution :premises (@p302 @p289) :args (@t78 @t28 (@list @t80))) % 0.38/0.59 (assume-push @p437 @t78) % 0.38/0.59 (step @p305 :rule instantiate :premises (@p437) :args (@t65)) % 0.38/0.59 (step-pop @p438 :rule scope :premises (@p305)) % 0.38/0.59 (step @p306 :rule process_scope :premises (@p438) :args (@t87)) % 0.38/0.59 (step @p308 :rule implies_elim :premises (@p306)) % 0.38/0.59 (step @p309 :rule chain_m_resolution :premises (@p308 @p303) :args (@t87 @t61 (@list @t78))) % 0.38/0.59 (step @p310 :rule cnf_equiv_neg1 :args (@t76)) % 0.38/0.59 (step @p311 :rule reordering :premises (@p310) :args ((or @t75 @t74 @t76))) % 0.38/0.59 (step @p312 :rule chain_m_resolution :premises (@p311 @p309 @p256) :args (@t74 @t60 (@list @t75 @t76))) % 0.38/0.59 (step @p313 :rule cnf_or_neg :args (@t88 1)) % 0.38/0.59 (step @p314 :rule reordering :premises (@p313) :args ((or (not @t74) @t88))) % 0.38/0.59 (step @p315 :rule chain_m_resolution :premises (@p314 @p312) :args (@t88 @t61 (@list @t74))) % 0.38/0.59 (step @p316 :rule cnf_equiv_pos2 :args (@t91)) % 0.38/0.59 (step @p317 :rule reordering :premises (@p316) :args ((or @t90 (not @t88) (not @t91)))) % 0.38/0.59 (step @p318 :rule chain_m_resolution :premises (@p317 @p315 @p169) :args (@t90 @t62 (@list @t88 @t91))) % 0.38/0.59 (step @p319 :rule refl :args (@t92)) % 0.38/0.59 (step @p320 :rule bool-double-not-elim :args (@t93)) % 0.38/0.59 (step @p321 :rule refl :args (@t95)) % 0.38/0.59 (step @p322 :rule nary_cong :premises (@p134 @p36 @p321 @p320 @p319) :args ((or @t33 @t31 @t95 (not @t96) @t92))) % 0.38/0.59 (assume-push @p439 @t90) % 0.38/0.59 (assume-push @p440 @t94) % 0.38/0.59 (assume-push @p441 @t30) % 0.38/0.59 (assume-push @p442 @t22) % 0.38/0.59 (assume-push @p443 @t96) % 0.38/0.59 (step @p328 :rule evaluate :args ((= false true))) % 0.38/0.59 (step @p329 :rule true_intro :premises (@p439)) % 0.38/0.59 (step @p330 :rule trans :premises (@p441 @p167)) % 0.38/0.59 (step @p331 :rule refl :args (@t64)) % 0.38/0.59 (step @p332 :rule cong :premises (@p331 @p330) :args (@t75)) % 0.38/0.59 (step @p333 :rule symm :premises (@p441)) % 0.38/0.59 (step @p334 :rule trans :premises (@p442 @p333)) % 0.38/0.59 (step @p335 :rule cong :premises (@p331 @p334) :args (@t93)) % 0.38/0.59 (step @p336 :rule false_intro :premises (@p168)) % 0.38/0.59 (step @p337 :rule symm :premises (@p336)) % 0.38/0.59 (step @p338 :rule trans :premises (@p337 @p335 @p332 @p329)) % 0.38/0.60 (step @p339 false :rule eq_resolve :premises (@p338 @p328)) % 0.38/0.60 (step-pop @p444 :rule scope :premises (@p339)) % 0.38/0.60 (step-pop @p445 :rule scope :premises (@p444)) % 0.38/0.60 (step-pop @p446 :rule scope :premises (@p445)) % 0.38/0.60 (step-pop @p447 :rule scope :premises (@p446)) % 0.38/0.60 (step-pop @p448 :rule scope :premises (@p447)) % 0.38/0.60 (step @p340 :rule process_scope :premises (@p448) :args (false)) % 0.38/0.60 (assume-push @p449 @t22) % 0.38/0.60 (assume-push @p450 @t30) % 0.38/0.60 (assume-push @p451 @t94) % 0.38/0.60 (assume-push @p452 @t96) % 0.38/0.60 (assume-push @p453 @t90) % 0.38/0.60 (step @p351 :rule and_intro :premises (@p453 @p167 @p450 @p449 @p168)) % 0.38/0.60 (step-pop @p454 :rule scope :premises (@p351)) % 0.38/0.60 (step-pop @p455 :rule scope :premises (@p454)) % 0.38/0.60 (step-pop @p456 :rule scope :premises (@p455)) % 0.38/0.60 (step-pop @p457 :rule scope :premises (@p456)) % 0.38/0.60 (step-pop @p458 :rule scope :premises (@p457)) % 0.38/0.60 (step @p352 :rule process_scope :premises (@p458) :args (@t97)) % 0.38/0.60 (step @p358 :rule implies_elim :premises (@p352)) % 0.38/0.60 (step @p359 :rule resolution :premises (@p358 @p340) :args (true @t97)) % 0.38/0.60 (step @p360 :rule not_and :premises (@p359)) % 0.38/0.60 (step @p361 :rule eq_resolve :premises (@p360 @p322)) % 0.38/0.60 (step @p362 false :rule chain_m_resolution :premises (@p361 @p318 @p168 @p167 @p166 @p132) :args (false (@list false true false false false) (@list @t90 @t93 @t94 @t30 @t22))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------