%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET632+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 : n015.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 08:48:19 AM UTC 2026 % Result : Theorem 0.36s 0.61s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET632+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n015.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % 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 16:05:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.47 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.empty_set $$unsorted) % 0.36/0.61 (declare-const tptp.intersect (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (define @t1 () (@var "C" $$unsorted)) % 0.36/0.61 (define @t2 () (@var "D" $$unsorted)) % 0.36/0.61 (define @t3 () (tptp.member @t2 @t1)) % 0.36/0.61 (define @t4 () (@var "B" $$unsorted)) % 0.36/0.61 (define @t5 () (tptp.member @t2 @t4)) % 0.36/0.61 (define @t6 () (@list @t2)) % 0.36/0.61 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.36/0.61 (define @t8 () (tptp.subset @t4 @t1)) % 0.36/0.61 (define @t9 () (= @t8 @t7)) % 0.36/0.61 (define @t10 () (@list @t4 @t1)) % 0.36/0.61 (define @t11 () (forall @t10 @t9)) % 0.36/0.61 (define @t12 () (and @t5 @t3)) % 0.36/0.61 (define @t13 () (exists @t6 @t12)) % 0.36/0.61 (define @t14 () (tptp.intersect @t4 @t1)) % 0.36/0.61 (define @t15 () (= @t14 @t13)) % 0.36/0.61 (define @t16 () (forall @t10 @t15)) % 0.36/0.61 (define @t17 () (@list @t4)) % 0.36/0.61 (define @t18 () (= @t4 tptp.empty_set)) % 0.36/0.61 (define @t19 () (tptp.disjoint @t1 @t2)) % 0.36/0.61 (define @t20 () (tptp.subset @t4 @t2)) % 0.36/0.61 (define @t21 () (and @t8 @t20 @t19)) % 0.36/0.61 (define @t22 () (@list @t4 @t1 @t2)) % 0.36/0.61 (define @t23 () (forall @t22 (=> @t21 @t18))) % 0.36/0.61 (define @t24 () (not @t23)) % 0.36/0.61 (define @t25 () (not @t19)) % 0.36/0.61 (define @t26 () (not @t20)) % 0.36/0.61 (define @t27 () (not @t8)) % 0.36/0.61 (define @t28 () (or @t27 @t26 @t25 @t18)) % 0.36/0.61 (define @t29 () (forall @t22 @t28)) % 0.36/0.61 (define @t30 () (@quantifiers_skolemize @t29 0)) % 0.36/0.61 (define @t31 () (@list tptp.empty_set @t30)) % 0.36/0.61 (define @t32 () (or @t27 @t26 @t25)) % 0.36/0.61 (define @t33 () (= tptp.empty_set @t30)) % 0.36/0.61 (define @t34 () (@quantifiers_skolemize @t29 2)) % 0.36/0.61 (define @t35 () (@quantifiers_skolemize @t29 1)) % 0.36/0.61 (define @t36 () (tptp.disjoint @t35 @t34)) % 0.36/0.61 (define @t37 () (not @t36)) % 0.36/0.61 (define @t38 () (tptp.subset @t30 @t34)) % 0.36/0.61 (define @t39 () (not @t38)) % 0.36/0.61 (define @t40 () (tptp.subset @t30 @t35)) % 0.36/0.61 (define @t41 () (not @t40)) % 0.36/0.61 (define @t42 () (or @t41 @t39 @t37 @t33)) % 0.36/0.61 (define @t43 () (not @t42)) % 0.36/0.61 (define @t44 () (not @t29)) % 0.36/0.61 (define @t45 () (or @t41 @t39 @t37 (= @t30 tptp.empty_set))) % 0.36/0.61 (define @t46 () (not @t45)) % 0.36/0.61 (define @t47 () (@list true)) % 0.36/0.61 (define @t48 () (@list @t42)) % 0.36/0.61 (define @t49 () (tptp.subset @t30 tptp.empty_set)) % 0.36/0.61 (define @t50 () (tptp.subset tptp.empty_set @t30)) % 0.36/0.61 (define @t51 () (and @t50 @t49)) % 0.36/0.61 (define @t52 () (= @t33 @t51)) % 0.36/0.61 (define @t53 () (not @t51)) % 0.36/0.61 (define @t54 () (@list true false)) % 0.36/0.61 (define @t55 () (tptp.member @t2 @t30)) % 0.36/0.61 (define @t56 () (tptp.member @t2 tptp.empty_set)) % 0.36/0.61 (define @t57 () (forall @t6 (or (not @t56) @t55))) % 0.36/0.61 (define @t58 () (@quantifiers_skolemize @t57 0)) % 0.36/0.61 (define @t59 () (tptp.member @t58 tptp.empty_set)) % 0.36/0.61 (define @t60 () (not @t59)) % 0.36/0.61 (define @t61 () (or @t60 (tptp.member @t58 @t30))) % 0.36/0.61 (define @t62 () (not @t61)) % 0.36/0.61 (define @t63 () (not @t57)) % 0.36/0.61 (define @t64 () (@list false)) % 0.36/0.61 (define @t65 () (= @t50 @t57)) % 0.36/0.61 (define @t66 () (@list false false)) % 0.36/0.61 (define @t67 () (not @t49)) % 0.36/0.61 (define @t68 () (not @t55)) % 0.36/0.61 (define @t69 () (forall @t6 (or @t68 @t56))) % 0.36/0.61 (define @t70 () (= @t49 @t69)) % 0.36/0.61 (define @t71 () (not @t69)) % 0.36/0.61 (define @t72 () (@quantifiers_skolemize @t69 0)) % 0.36/0.61 (define @t73 () (tptp.member @t72 @t30)) % 0.36/0.61 (define @t74 () (not @t73)) % 0.36/0.61 (define @t75 () (or @t74 (tptp.member @t72 tptp.empty_set))) % 0.36/0.61 (define @t76 () (not @t75)) % 0.36/0.61 (define @t77 () (tptp.member @t2 @t35)) % 0.36/0.61 (define @t78 () (not @t77)) % 0.36/0.61 (define @t79 () (forall @t6 (or @t78 @t68))) % 0.36/0.61 (define @t80 () (@quantifiers_skolemize @t79 0)) % 0.36/0.61 (define @t81 () (tptp.member @t80 @t35)) % 0.36/0.61 (define @t82 () (tptp.member @t80 @t30)) % 0.36/0.61 (define @t83 () (not @t82)) % 0.36/0.61 (define @t84 () (not @t81)) % 0.36/0.61 (define @t85 () (or @t84 @t83)) % 0.36/0.61 (define @t86 () (forall @t6 (not @t12))) % 0.36/0.61 (define @t87 () (not @t86)) % 0.36/0.61 (define @t88 () (@list @t35 @t34)) % 0.36/0.61 (define @t89 () (tptp.intersect @t35 @t34)) % 0.36/0.61 (define @t90 () (not @t89)) % 0.36/0.61 (define @t91 () (= @t36 @t90)) % 0.36/0.61 (define @t92 () (tptp.member @t2 @t34)) % 0.36/0.61 (define @t93 () (forall @t6 (or @t78 (not @t92)))) % 0.36/0.61 (define @t94 () (not @t93)) % 0.36/0.61 (define @t95 () (= @t89 @t94)) % 0.36/0.61 (define @t96 () (not @t95)) % 0.36/0.61 (define @t97 () (@list @t80)) % 0.36/0.61 (define @t98 () (tptp.member @t80 @t34)) % 0.36/0.61 (define @t99 () (not @t98)) % 0.36/0.61 (define @t100 () (or @t84 @t99)) % 0.36/0.61 (define @t101 () (forall @t6 (or @t68 @t92))) % 0.36/0.61 (define @t102 () (= @t38 @t101)) % 0.36/0.61 (define @t103 () (or @t83 @t98)) % 0.36/0.61 (define @t104 () (not @t85)) % 0.36/0.61 (define @t105 () (not @t79)) % 0.36/0.61 (define @t106 () (@list @t72)) % 0.36/0.61 (define @t107 () (tptp.member @t72 @t35)) % 0.36/0.61 (define @t108 () (not @t107)) % 0.36/0.61 (define @t109 () (or @t108 @t74)) % 0.36/0.61 (define @t110 () (forall @t6 (or @t68 @t77))) % 0.36/0.61 (define @t111 () (= @t40 @t110)) % 0.36/0.61 (define @t112 () (or @t74 @t107)) % 0.36/0.61 (assume @p1 @t11) % 0.36/0.61 (assume @p2 @t16) % 0.36/0.61 (assume @p3 (forall @t17 (not (tptp.member @t4 tptp.empty_set)))) % 0.36/0.61 (assume @p4 (forall @t10 (= (tptp.disjoint @t4 @t1) (not @t14)))) % 0.36/0.61 (assume @p5 (forall @t10 (= (= @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.36/0.61 (assume @p6 (forall @t10 (=> @t14 (tptp.intersect @t1 @t4)))) % 0.36/0.61 (assume @p7 (forall @t17 (tptp.subset @t4 @t4))) % 0.36/0.61 (assume @p8 (forall @t17 (= (tptp.empty @t4) (forall (@list @t1) (not (tptp.member @t1 @t4)))))) % 0.36/0.61 (assume @p9 @t24) % 0.36/0.61 (assume @p10 true) % 0.36/0.61 (step @p11 :rule bool-impl-elim :args (@t5 @t3)) % 0.36/0.61 (step @p12 :rule cong :premises (@p11) :args (@t7)) % 0.36/0.61 (step @p13 :rule refl :args (@t8)) % 0.36/0.61 (step @p14 :rule cong :premises (@p13 @p12) :args (@t9)) % 0.36/0.61 (step @p15 :rule cong :premises (@p14) :args (@t11)) % 0.36/0.61 (step @p16 :rule eq_resolve :premises (@p1 @p15)) % 0.36/0.61 (step @p17 :rule instantiate :premises (@p16) :args ((@list @t30 tptp.empty_set))) % 0.36/0.61 (step @p18 :rule instantiate :premises (@p5) :args (@t31)) % 0.36/0.61 (step @p19 :rule aci_norm :args ((= (or @t32 @t18) @t28))) % 0.36/0.61 (step @p20 :rule refl :args (@t18)) % 0.36/0.61 (step @p21 :rule aci_norm :args ((= (or @t27 (or @t26 @t25)) @t32))) % 0.36/0.61 (step @p22 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 0.36/0.61 (step @p23 :rule refl :args (@t27)) % 0.36/0.61 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t27 (not (and @t20 @t19))))) % 0.36/0.61 (step @p25 :rule bool-and-de-morgan :args (@t8 @t20 (and @t19))) % 0.36/0.61 (step @p26 :rule trans :premises (@p25 @p24)) % 0.36/0.61 (step @p27 :rule trans :premises (@p26 @p21)) % 0.36/0.61 (step @p28 :rule nary_cong :premises (@p27 @p20) :args ((or (not @t21) @t18))) % 0.36/0.61 (step @p29 :rule trans :premises (@p28 @p19)) % 0.36/0.61 (step @p30 :rule bool-impl-elim :args (@t21 @t18)) % 0.36/0.61 (step @p31 :rule trans :premises (@p30 @p29)) % 0.36/0.61 (step @p32 :rule cong :premises (@p31) :args (@t23)) % 0.36/0.61 (step @p33 :rule cong :premises (@p32) :args (@t24)) % 0.36/0.61 (step @p34 :rule eq_resolve :premises (@p9 @p33)) % 0.36/0.61 (step @p35 :rule refl :args (@t43)) % 0.36/0.61 (step @p36 :rule bool-double-not-elim :args (@t29)) % 0.36/0.61 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or (not @t44) @t43))) % 0.36/0.61 (step @p38 :rule eq-symm :args (@t30 tptp.empty_set)) % 0.36/0.61 (step @p39 :rule refl :args (@t37)) % 0.36/0.61 (step @p40 :rule refl :args (@t39)) % 0.36/0.61 (step @p41 :rule refl :args (@t41)) % 0.36/0.61 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39 @p38) :args (@t45)) % 0.36/0.61 (step @p43 :rule cong :premises (@p42) :args (@t46)) % 0.36/0.61 (step @p44 :rule refl :args (@t44)) % 0.36/0.61 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t44 @t46))) % 0.36/0.61 (assume-push @p194 @t44) % 0.36/0.61 (step @p47 :rule skolemize :premises (@p34)) % 0.36/0.61 (step-pop @p195 :rule scope :premises (@p47)) % 0.36/0.61 (step @p48 :rule process_scope :premises (@p195) :args (@t46)) % 0.36/0.61 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 0.36/0.61 (step @p51 :rule implies_elim :premises (@p50)) % 0.36/0.61 (step @p52 :rule eq_resolve :premises (@p51 @p37)) % 0.36/0.61 (step @p53 :rule chain_m_resolution :premises (@p52 @p34) :args (@t43 @t47 (@list @t29))) % 0.36/0.61 (step @p54 :rule cnf_or_neg :args (@t42 3)) % 0.36/0.61 (step @p55 :rule chain_m_resolution :premises (@p54 @p53) :args ((not @t33) @t47 @t48)) % 0.36/0.61 (step @p56 :rule cnf_equiv_pos2 :args (@t52)) % 0.36/0.61 (step @p57 :rule reordering :premises (@p56) :args ((or @t33 @t53 (not @t52)))) % 0.36/0.61 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p18) :args (@t53 @t54 (@list @t33 @t52))) % 0.36/0.61 (step @p59 :rule instantiate :premises (@p16) :args (@t31)) % 0.36/0.61 (step @p60 :rule instantiate :premises (@p3) :args ((@list @t58))) % 0.36/0.61 (step @p61 :rule bool-double-not-elim :args (@t59)) % 0.36/0.61 (step @p62 :rule refl :args (@t61)) % 0.36/0.61 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t61 (not @t60)))) % 0.36/0.61 (step @p64 :rule cnf_or_neg :args (@t61 0)) % 0.36/0.61 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.36/0.61 (step @p66 :rule reordering :premises (@p65) :args ((or @t59 @t61))) % 0.36/0.61 (step @p67 :rule chain_m_resolution :premises (@p66 @p60) :args (@t61 @t47 (@list @t59))) % 0.36/0.61 (step @p68 :rule refl :args (@t62)) % 0.36/0.61 (step @p69 :rule bool-double-not-elim :args (@t57)) % 0.36/0.61 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or (not @t63) @t62))) % 0.36/0.61 (assume-push @p196 @t63) % 0.36/0.61 (step @p72 :rule skolemize :premises (@p196)) % 0.36/0.61 (step-pop @p197 :rule scope :premises (@p72)) % 0.36/0.61 (step @p73 :rule process_scope :premises (@p197) :args (@t62)) % 0.36/0.61 (step @p75 :rule implies_elim :premises (@p73)) % 0.36/0.61 (step @p76 :rule eq_resolve :premises (@p75 @p70)) % 0.36/0.61 (step @p77 :rule chain_m_resolution :premises (@p76 @p67) :args (@t57 @t64 (@list @t61))) % 0.36/0.61 (step @p78 :rule cnf_equiv_pos2 :args (@t65)) % 0.36/0.61 (step @p79 :rule reordering :premises (@p78) :args ((or @t50 @t63 (not @t65)))) % 0.36/0.61 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p59) :args (@t50 @t66 (@list @t57 @t65))) % 0.36/0.61 (step @p81 :rule cnf_and_neg :args (@t51)) % 0.36/0.61 (step @p82 :rule reordering :premises (@p81) :args ((or (not @t50) @t51 @t67))) % 0.36/0.61 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p58) :args (@t67 (@list false true) (@list @t50 @t51))) % 0.36/0.61 (step @p84 :rule cnf_equiv_pos2 :args (@t70)) % 0.36/0.61 (step @p85 :rule reordering :premises (@p84) :args ((or @t49 @t71 (not @t70)))) % 0.36/0.61 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p17) :args (@t71 @t54 (@list @t49 @t70))) % 0.36/0.61 (step @p87 :rule refl :args (@t76)) % 0.36/0.61 (step @p88 :rule bool-double-not-elim :args (@t69)) % 0.36/0.61 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or (not @t71) @t76))) % 0.36/0.61 (assume-push @p198 @t71) % 0.36/0.61 (step @p91 :rule skolemize :premises (@p198)) % 0.36/0.61 (step-pop @p199 :rule scope :premises (@p91)) % 0.36/0.61 (step @p92 :rule process_scope :premises (@p199) :args (@t76)) % 0.36/0.61 (step @p94 :rule implies_elim :premises (@p92)) % 0.36/0.61 (step @p95 :rule eq_resolve :premises (@p94 @p89)) % 0.36/0.61 (step @p96 :rule chain_m_resolution :premises (@p95 @p86) :args (@t76 @t47 (@list @t69))) % 0.36/0.61 (step @p97 :rule bool-double-not-elim :args (@t73)) % 0.36/0.61 (step @p98 :rule refl :args (@t75)) % 0.36/0.61 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t75 (not @t74)))) % 0.36/0.61 (step @p100 :rule cnf_or_neg :args (@t75 0)) % 0.36/0.61 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 0.36/0.61 (step @p102 :rule reordering :premises (@p101) :args ((or @t73 @t75))) % 0.36/0.61 (step @p103 :rule chain_m_resolution :premises (@p102 @p96) :args (@t73 @t47 (@list @t75))) % 0.36/0.61 (step @p104 :rule bool-double-not-elim :args (@t81)) % 0.36/0.61 (step @p105 :rule refl :args (@t85)) % 0.36/0.61 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t85 (not @t84)))) % 0.36/0.61 (step @p107 :rule cnf_or_neg :args (@t85 0)) % 0.36/0.61 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.36/0.61 (step @p109 :rule reordering :premises (@p108) :args ((or @t81 @t85))) % 0.36/0.61 (step @p110 :rule bool-double-not-elim :args (@t82)) % 0.36/0.61 (step @p111 :rule nary_cong :premises (@p105 @p110) :args ((or @t85 (not @t83)))) % 0.36/0.61 (step @p112 :rule cnf_or_neg :args (@t85 1)) % 0.36/0.61 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.36/0.61 (step @p114 :rule reordering :premises (@p113) :args ((or @t82 @t85))) % 0.36/0.61 (step @p115 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.36/0.61 (step @p116 :rule cong :premises (@p115) :args (@t86)) % 0.36/0.61 (step @p117 :rule cong :premises (@p116) :args (@t87)) % 0.36/0.61 (step @p118 :rule exists-elim :args ((= @t13 @t87))) % 0.36/0.61 (step @p119 :rule trans :premises (@p118 @p117)) % 0.36/0.61 (step @p120 :rule refl :args (@t14)) % 0.36/0.61 (step @p121 :rule cong :premises (@p120 @p119) :args (@t15)) % 0.36/0.61 (step @p122 :rule cong :premises (@p121) :args (@t16)) % 0.36/0.61 (step @p123 :rule eq_resolve :premises (@p2 @p122)) % 0.36/0.61 (step @p124 :rule instantiate :premises (@p123) :args (@t88)) % 0.36/0.61 (step @p125 :rule instantiate :premises (@p4) :args (@t88)) % 0.36/0.61 (step @p126 :rule bool-double-not-elim :args (@t36)) % 0.36/0.61 (step @p127 :rule refl :args (@t42)) % 0.36/0.61 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t42 (not @t37)))) % 0.36/0.61 (step @p129 :rule cnf_or_neg :args (@t42 2)) % 0.36/0.61 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.36/0.61 (step @p131 :rule reordering :premises (@p130) :args ((or @t36 @t42))) % 0.36/0.61 (step @p132 :rule chain_m_resolution :premises (@p131 @p53) :args (@t36 @t47 @t48)) % 0.36/0.61 (step @p133 :rule cnf_equiv_pos1 :args (@t91)) % 0.36/0.61 (step @p134 :rule reordering :premises (@p133) :args ((or @t37 @t90 (not @t91)))) % 0.36/0.61 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p125) :args (@t90 @t66 (@list @t36 @t91))) % 0.36/0.61 (step @p136 :rule bool-double-not-elim :args (@t93)) % 0.36/0.61 (step @p137 :rule refl :args (@t89)) % 0.36/0.61 (step @p138 :rule refl :args (@t96)) % 0.36/0.61 (step @p139 :rule nary_cong :premises (@p138 @p137 @p136) :args ((or @t96 @t89 (not @t94)))) % 0.36/0.61 (step @p140 :rule cnf_equiv_pos2 :args (@t95)) % 0.36/0.61 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 0.36/0.61 (step @p142 :rule reordering :premises (@p141) :args ((or @t89 @t93 @t96))) % 0.36/0.61 (step @p143 :rule chain_m_resolution :premises (@p142 @p135 @p124) :args (@t93 @t54 (@list @t89 @t95))) % 0.36/0.61 (step @p144 :rule instantiate :premises (@p143) :args (@t97)) % 0.36/0.61 (step @p145 :rule cnf_or_pos :args (@t100)) % 0.36/0.61 (step @p146 :rule reordering :premises (@p145) :args ((or @t84 @t99 (not @t100)))) % 0.36/0.61 (step @p147 :rule instantiate :premises (@p16) :args ((@list @t30 @t34))) % 0.36/0.61 (step @p148 :rule bool-double-not-elim :args (@t38)) % 0.36/0.61 (step @p149 :rule nary_cong :premises (@p127 @p148) :args ((or @t42 (not @t39)))) % 0.36/0.61 (step @p150 :rule cnf_or_neg :args (@t42 1)) % 0.36/0.61 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.36/0.61 (step @p152 :rule reordering :premises (@p151) :args ((or @t38 @t42))) % 0.36/0.61 (step @p153 :rule chain_m_resolution :premises (@p152 @p53) :args (@t38 @t47 @t48)) % 0.36/0.61 (step @p154 :rule cnf_equiv_pos1 :args (@t102)) % 0.36/0.61 (step @p155 :rule reordering :premises (@p154) :args ((or @t39 @t101 (not @t102)))) % 0.36/0.61 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p147) :args (@t101 @t66 (@list @t38 @t102))) % 0.36/0.61 (step @p157 :rule instantiate :premises (@p156) :args (@t97)) % 0.36/0.61 (step @p158 :rule cnf_or_pos :args (@t103)) % 0.36/0.61 (step @p159 :rule reordering :premises (@p158) :args ((or @t83 @t98 (not @t103)))) % 0.36/0.61 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p146 @p144 @p114 @p109) :args (@t85 (@list false true false false false) (@list @t103 @t98 @t100 @t82 @t81))) % 0.36/0.61 (step @p161 :rule refl :args (@t104)) % 0.36/0.61 (step @p162 :rule bool-double-not-elim :args (@t79)) % 0.36/0.61 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or (not @t105) @t104))) % 0.36/0.61 (assume-push @p200 @t105) % 0.36/0.61 (step @p165 :rule skolemize :premises (@p200)) % 0.36/0.61 (step-pop @p201 :rule scope :premises (@p165)) % 0.36/0.61 (step @p166 :rule process_scope :premises (@p201) :args (@t104)) % 0.36/0.61 (step @p168 :rule implies_elim :premises (@p166)) % 0.36/0.61 (step @p169 :rule eq_resolve :premises (@p168 @p163)) % 0.36/0.61 (step @p170 :rule chain_m_resolution :premises (@p169 @p160) :args (@t79 @t64 (@list @t85))) % 0.36/0.61 (assume-push @p202 @t79) % 0.36/0.61 (step @p172 :rule instantiate :premises (@p202) :args (@t106)) % 0.36/0.61 (step-pop @p203 :rule scope :premises (@p172)) % 0.36/0.61 (step @p173 :rule process_scope :premises (@p203) :args (@t109)) % 0.36/0.61 (step @p175 :rule implies_elim :premises (@p173)) % 0.36/0.61 (step @p176 :rule chain_m_resolution :premises (@p175 @p170) :args (@t109 @t64 (@list @t79))) % 0.36/0.61 (step @p177 :rule instantiate :premises (@p16) :args ((@list @t30 @t35))) % 0.36/0.61 (step @p178 :rule bool-double-not-elim :args (@t40)) % 0.36/0.61 (step @p179 :rule nary_cong :premises (@p127 @p178) :args ((or @t42 (not @t41)))) % 0.36/0.61 (step @p180 :rule cnf_or_neg :args (@t42 0)) % 0.36/0.61 (step @p181 :rule eq_resolve :premises (@p180 @p179)) % 0.36/0.61 (step @p182 :rule reordering :premises (@p181) :args ((or @t40 @t42))) % 0.36/0.61 (step @p183 :rule chain_m_resolution :premises (@p182 @p53) :args (@t40 @t47 @t48)) % 0.36/0.61 (step @p184 :rule cnf_equiv_pos1 :args (@t111)) % 0.36/0.61 (step @p185 :rule reordering :premises (@p184) :args ((or @t41 @t110 (not @t111)))) % 0.36/0.61 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p177) :args (@t110 @t66 (@list @t40 @t111))) % 0.36/0.61 (step @p187 :rule instantiate :premises (@p186) :args (@t106)) % 0.36/0.61 (step @p188 :rule cnf_or_pos :args (@t112)) % 0.36/0.61 (step @p189 :rule reordering :premises (@p188) :args ((or @t74 @t107 (not @t112)))) % 0.36/0.61 (step @p190 :rule chain_m_resolution :premises (@p189 @p103 @p187) :args (@t107 @t66 (@list @t73 @t112))) % 0.36/0.61 (step @p191 :rule cnf_or_pos :args (@t109)) % 0.36/0.61 (step @p192 :rule reordering :premises (@p191) :args ((or @t74 @t108 (not @t109)))) % 0.36/0.61 (step @p193 false :rule chain_m_resolution :premises (@p192 @p190 @p176 @p103) :args (false (@list false false false) (@list @t107 @t109 @t73))) % 0.36/0.61 ) % 0.36/0.61 % SZS output end Proof % 0.36/0.61 % cvc5 exiting %------------------------------------------------------------------------------