%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET636+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:48:20 AM UTC 2026 % Result : Theorem 0.46s 0.66s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET636+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n017.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.36 % CPULimit : 300 % 0.19/0.36 % WCLimit : 300 % 0.19/0.36 % DateTime : Tue Jun 2 16:04:16 EDT 2026 % 0.19/0.36 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.66 % SZS status Theorem % 0.46/0.66 % SZS output start Proof % 0.46/0.66 ( % 0.46/0.66 (declare-sort $$unsorted 0) % 0.46/0.66 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.empty_set $$unsorted) % 0.46/0.66 (declare-const tptp.intersect (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (define @t1 () (@var "C" $$unsorted)) % 0.46/0.66 (define @t2 () (@var "D" $$unsorted)) % 0.46/0.66 (define @t3 () (tptp.member @t2 @t1)) % 0.46/0.66 (define @t4 () (@var "B" $$unsorted)) % 0.46/0.66 (define @t5 () (tptp.member @t2 @t4)) % 0.46/0.66 (define @t6 () (and @t5 @t3)) % 0.46/0.66 (define @t7 () (tptp.intersection @t4 @t1)) % 0.46/0.66 (define @t8 () (@list @t2)) % 0.46/0.66 (define @t9 () (exists @t8 @t6)) % 0.46/0.66 (define @t10 () (tptp.intersect @t4 @t1)) % 0.46/0.66 (define @t11 () (= @t10 @t9)) % 0.46/0.66 (define @t12 () (@list @t4 @t1)) % 0.46/0.66 (define @t13 () (forall @t12 @t11)) % 0.46/0.66 (define @t14 () (@list @t4)) % 0.46/0.66 (define @t15 () (tptp.disjoint @t4 @t1)) % 0.46/0.66 (define @t16 () (tptp.subset @t4 @t1)) % 0.46/0.66 (define @t17 () (= @t4 @t1)) % 0.46/0.66 (define @t18 () (@list @t1)) % 0.46/0.66 (define @t19 () (forall @t12 (= @t17 (forall @t8 (= @t5 @t3))))) % 0.46/0.66 (define @t20 () (forall @t12 (= @t15 (= @t7 tptp.empty_set)))) % 0.46/0.66 (define @t21 () (not @t20)) % 0.46/0.66 (define @t22 () (forall @t8 (not @t6))) % 0.46/0.66 (define @t23 () (not @t22)) % 0.46/0.66 (define @t24 () (@quantifiers_skolemize @t20 1)) % 0.46/0.66 (define @t25 () (tptp.member @t2 tptp.empty_set)) % 0.46/0.66 (define @t26 () (not (tptp.member @t2 @t24))) % 0.46/0.66 (define @t27 () (forall @t8 (or @t26 (not @t25)))) % 0.46/0.66 (define @t28 () (@quantifiers_skolemize @t27 0)) % 0.46/0.66 (define @t29 () (tptp.member @t28 tptp.empty_set)) % 0.46/0.66 (define @t30 () (not @t29)) % 0.46/0.66 (define @t31 () (or (not (tptp.member @t28 @t24)) @t30)) % 0.46/0.66 (define @t32 () (@list true)) % 0.46/0.66 (define @t33 () (not @t31)) % 0.46/0.66 (define @t34 () (not @t27)) % 0.46/0.66 (define @t35 () (@list false)) % 0.46/0.66 (define @t36 () (tptp.intersect @t24 tptp.empty_set)) % 0.46/0.66 (define @t37 () (= @t36 @t34)) % 0.46/0.66 (define @t38 () (not @t36)) % 0.46/0.66 (define @t39 () (@list false false)) % 0.46/0.66 (define @t40 () (@quantifiers_skolemize @t20 0)) % 0.46/0.66 (define @t41 () (tptp.intersection @t40 @t24)) % 0.46/0.66 (define @t42 () (= tptp.empty_set @t41)) % 0.46/0.66 (define @t43 () (tptp.disjoint @t40 @t24)) % 0.46/0.66 (define @t44 () (= @t43 @t42)) % 0.46/0.66 (define @t45 () (not @t44)) % 0.46/0.66 (define @t46 () (= @t41 tptp.empty_set)) % 0.46/0.66 (define @t47 () (= @t43 @t46)) % 0.46/0.66 (define @t48 () (not @t47)) % 0.46/0.66 (define @t49 () (@list @t40 @t24)) % 0.46/0.66 (define @t50 () (forall @t8 (or (not (tptp.member @t2 @t40)) @t26))) % 0.46/0.66 (define @t51 () (not @t50)) % 0.46/0.66 (define @t52 () (tptp.intersect @t40 @t24)) % 0.46/0.66 (define @t53 () (= @t52 @t51)) % 0.46/0.66 (define @t54 () (not @t53)) % 0.46/0.66 (define @t55 () (not @t52)) % 0.46/0.66 (define @t56 () (forall @t18 (not (tptp.member @t1 @t41)))) % 0.46/0.66 (define @t57 () (@quantifiers_skolemize @t56 0)) % 0.46/0.66 (define @t58 () (tptp.member @t57 @t24)) % 0.46/0.66 (define @t59 () (not @t58)) % 0.46/0.66 (define @t60 () (tptp.member @t57 @t40)) % 0.46/0.66 (define @t61 () (not @t60)) % 0.46/0.66 (define @t62 () (or @t61 @t59)) % 0.46/0.66 (define @t63 () (= @t43 @t55)) % 0.46/0.66 (define @t64 () (not @t63)) % 0.46/0.66 (define @t65 () (and @t60 @t58)) % 0.46/0.66 (define @t66 () (not @t65)) % 0.46/0.66 (define @t67 () (not @t62)) % 0.46/0.66 (define @t68 () (tptp.member @t57 @t41)) % 0.46/0.66 (define @t69 () (= @t68 @t65)) % 0.46/0.66 (define @t70 () (not @t68)) % 0.46/0.66 (define @t71 () (tptp.member @t2 @t41)) % 0.46/0.66 (define @t72 () (forall @t8 (= @t71 @t25))) % 0.46/0.66 (define @t73 () (= @t46 @t72)) % 0.46/0.66 (define @t74 () (= @t42 @t72)) % 0.46/0.66 (define @t75 () (not @t72)) % 0.46/0.66 (define @t76 () (not @t56)) % 0.46/0.66 (define @t77 () (not @t70)) % 0.46/0.66 (define @t78 () (@quantifiers_skolemize @t72 0)) % 0.46/0.66 (define @t79 () (tptp.member @t78 tptp.empty_set)) % 0.46/0.66 (define @t80 () (tptp.member @t78 @t41)) % 0.46/0.66 (define @t81 () (= @t80 @t79)) % 0.46/0.66 (define @t82 () (not @t81)) % 0.46/0.66 (define @t83 () (@list @t78)) % 0.46/0.66 (define @t84 () (not @t51)) % 0.46/0.66 (define @t85 () (@list true false)) % 0.46/0.66 (define @t86 () (not @t43)) % 0.46/0.66 (define @t87 () (@quantifiers_skolemize @t50 0)) % 0.46/0.66 (define @t88 () (tptp.member @t87 @t24)) % 0.46/0.66 (define @t89 () (not @t88)) % 0.46/0.66 (define @t90 () (tptp.member @t87 @t40)) % 0.46/0.66 (define @t91 () (not @t90)) % 0.46/0.66 (define @t92 () (or @t91 @t89)) % 0.46/0.66 (define @t93 () (not @t92)) % 0.46/0.66 (define @t94 () (and @t90 @t88)) % 0.46/0.66 (define @t95 () (@list @t92)) % 0.46/0.66 (define @t96 () (tptp.member @t87 @t41)) % 0.46/0.66 (define @t97 () (= @t96 @t94)) % 0.46/0.66 (define @t98 () (not @t96)) % 0.46/0.66 (define @t99 () (or @t89 @t98)) % 0.46/0.66 (define @t100 () (not @t99)) % 0.46/0.66 (define @t101 () (forall @t8 (or @t26 (not @t71)))) % 0.46/0.66 (define @t102 () (not @t101)) % 0.46/0.66 (define @t103 () (tptp.intersect @t24 @t41)) % 0.46/0.66 (define @t104 () (= @t103 @t102)) % 0.46/0.66 (define @t105 () (not @t104)) % 0.46/0.66 (define @t106 () (not @t103)) % 0.46/0.66 (define @t107 () (not @t42)) % 0.46/0.66 (define @t108 () (and @t42 @t38)) % 0.46/0.66 (assume @p1 (forall (@list @t4 @t1 @t2) (= (tptp.member @t2 @t7) @t6))) % 0.46/0.66 (assume @p2 @t13) % 0.46/0.66 (assume @p3 (forall @t14 (not (tptp.member @t4 tptp.empty_set)))) % 0.46/0.66 (assume @p4 (forall @t12 (= @t15 (not @t10)))) % 0.46/0.66 (assume @p5 (forall @t12 (= @t17 (and @t16 (tptp.subset @t1 @t4))))) % 0.46/0.66 (assume @p6 (forall @t12 (= @t7 (tptp.intersection @t1 @t4)))) % 0.46/0.66 (assume @p7 (forall @t12 (=> @t10 (tptp.intersect @t1 @t4)))) % 0.46/0.66 (assume @p8 (forall @t12 (= @t16 (forall @t8 (=> @t5 @t3))))) % 0.46/0.66 (assume @p9 (forall @t14 (tptp.subset @t4 @t4))) % 0.46/0.66 (assume @p10 (forall @t14 (= (tptp.empty @t4) (forall @t18 (not (tptp.member @t1 @t4)))))) % 0.46/0.66 (assume @p11 @t19) % 0.46/0.66 (assume @p12 @t21) % 0.46/0.66 (assume @p13 true) % 0.46/0.66 (step @p14 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.46/0.66 (step @p15 :rule cong :premises (@p14) :args (@t22)) % 0.46/0.66 (step @p16 :rule cong :premises (@p15) :args (@t23)) % 0.46/0.66 (step @p17 :rule exists-elim :args ((= @t9 @t23))) % 0.46/0.66 (step @p18 :rule trans :premises (@p17 @p16)) % 0.46/0.66 (step @p19 :rule refl :args (@t10)) % 0.46/0.66 (step @p20 :rule cong :premises (@p19 @p18) :args (@t11)) % 0.46/0.66 (step @p21 :rule cong :premises (@p20) :args (@t13)) % 0.46/0.66 (step @p22 :rule eq_resolve :premises (@p2 @p21)) % 0.46/0.66 (step @p23 :rule instantiate :premises (@p22) :args ((@list @t24 tptp.empty_set))) % 0.46/0.66 (step @p24 :rule instantiate :premises (@p3) :args ((@list @t28))) % 0.46/0.66 (step @p25 :rule bool-double-not-elim :args (@t29)) % 0.46/0.66 (step @p26 :rule refl :args (@t31)) % 0.46/0.66 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t31 (not @t30)))) % 0.46/0.66 (step @p28 :rule cnf_or_neg :args (@t31 1)) % 0.46/0.66 (step @p29 :rule eq_resolve :premises (@p28 @p27)) % 0.46/0.66 (step @p30 :rule reordering :premises (@p29) :args ((or @t29 @t31))) % 0.46/0.66 (step @p31 :rule chain_m_resolution :premises (@p30 @p24) :args (@t31 @t32 (@list @t29))) % 0.46/0.66 (step @p32 :rule refl :args (@t33)) % 0.46/0.66 (step @p33 :rule bool-double-not-elim :args (@t27)) % 0.46/0.66 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t34) @t33))) % 0.46/0.66 (assume-push @p221 @t34) % 0.46/0.66 (step @p36 :rule skolemize :premises (@p221)) % 0.46/0.66 (step-pop @p222 :rule scope :premises (@p36)) % 0.46/0.66 (step @p37 :rule process_scope :premises (@p222) :args (@t33)) % 0.46/0.66 (step @p39 :rule implies_elim :premises (@p37)) % 0.46/0.66 (step @p40 :rule eq_resolve :premises (@p39 @p34)) % 0.46/0.66 (step @p41 :rule chain_m_resolution :premises (@p40 @p31) :args (@t27 @t35 (@list @t31))) % 0.46/0.66 (step @p42 :rule cnf_equiv_pos1 :args (@t37)) % 0.46/0.66 (step @p43 :rule reordering :premises (@p42) :args ((or @t34 @t38 (not @t37)))) % 0.46/0.66 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p23) :args (@t38 @t39 (@list @t27 @t37))) % 0.46/0.66 (step @p45 :rule refl :args (@t45)) % 0.46/0.66 (step @p46 :rule bool-double-not-elim :args (@t20)) % 0.46/0.66 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t21) @t45))) % 0.46/0.66 (step @p48 :rule eq-symm :args (@t41 tptp.empty_set)) % 0.46/0.66 (step @p49 :rule refl :args (@t43)) % 0.46/0.66 (step @p50 :rule cong :premises (@p49 @p48) :args (@t47)) % 0.46/0.66 (step @p51 :rule cong :premises (@p50) :args (@t48)) % 0.46/0.66 (step @p52 :rule refl :args (@t21)) % 0.46/0.66 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t21 @t48))) % 0.46/0.66 (assume-push @p223 @t21) % 0.46/0.66 (step @p55 :rule skolemize :premises (@p12)) % 0.46/0.66 (step-pop @p224 :rule scope :premises (@p55)) % 0.46/0.66 (step @p56 :rule process_scope :premises (@p224) :args (@t48)) % 0.46/0.66 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 0.46/0.66 (step @p59 :rule implies_elim :premises (@p58)) % 0.46/0.66 (step @p60 :rule eq_resolve :premises (@p59 @p47)) % 0.46/0.66 (step @p61 :rule chain_m_resolution :premises (@p60 @p12) :args (@t45 @t32 (@list @t20))) % 0.46/0.66 (step @p62 :rule instantiate :premises (@p4) :args (@t49)) % 0.46/0.66 (step @p63 :rule instantiate :premises (@p22) :args (@t49)) % 0.46/0.66 (step @p64 :rule cnf_equiv_pos1 :args (@t53)) % 0.46/0.66 (step @p65 :rule reordering :premises (@p64) :args ((or @t55 @t51 @t54))) % 0.46/0.66 (assume-push @p225 @t50) % 0.46/0.66 (step @p67 :rule instantiate :premises (@p225) :args ((@list @t57))) % 0.46/0.66 (step-pop @p226 :rule scope :premises (@p67)) % 0.46/0.66 (step @p68 :rule process_scope :premises (@p226) :args (@t62)) % 0.46/0.66 (step @p70 :rule implies_elim :premises (@p68)) % 0.46/0.66 (step @p71 :rule bool-double-not-elim :args (@t52)) % 0.46/0.66 (step @p72 :rule refl :args (@t64)) % 0.46/0.66 (step @p73 :rule nary_cong :premises (@p72 @p49 @p71) :args ((or @t64 @t43 (not @t55)))) % 0.46/0.66 (step @p74 :rule cnf_equiv_pos2 :args (@t63)) % 0.46/0.66 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.46/0.66 (step @p76 :rule reordering :premises (@p75) :args ((or @t43 @t52 @t64))) % 0.46/0.66 (step @p77 :rule cnf_and_pos :args (@t65 0)) % 0.46/0.66 (step @p78 :rule reordering :premises (@p77) :args ((or @t60 @t66))) % 0.46/0.66 (step @p79 :rule cnf_and_pos :args (@t65 1)) % 0.46/0.66 (step @p80 :rule reordering :premises (@p79) :args ((or @t58 @t66))) % 0.46/0.66 (step @p81 :rule cnf_or_pos :args (@t62)) % 0.46/0.66 (step @p82 :rule reordering :premises (@p81) :args ((or @t59 @t61 @t67))) % 0.46/0.66 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p78) :args ((or @t66 @t67) @t39 (@list @t58 @t60))) % 0.46/0.66 (step @p84 :rule cnf_equiv_neg2 :args (@t44)) % 0.46/0.66 (step @p85 :rule instantiate :premises (@p1) :args ((@list @t40 @t24 @t57))) % 0.46/0.66 (step @p86 :rule cnf_equiv_pos1 :args (@t69)) % 0.46/0.66 (step @p87 :rule reordering :premises (@p86) :args ((or @t70 @t65 (not @t69)))) % 0.46/0.66 (step @p88 :rule refl :args (@t72)) % 0.46/0.66 (step @p89 :rule cong :premises (@p48 @p88) :args (@t73)) % 0.46/0.66 (step @p90 :rule refl :args (@t19)) % 0.46/0.66 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t19 @t73))) % 0.46/0.66 (assume-push @p227 @t19) % 0.46/0.66 (step @p93 :rule instantiate :premises (@p11) :args ((@list @t41 tptp.empty_set))) % 0.46/0.66 (step-pop @p228 :rule scope :premises (@p93)) % 0.46/0.66 (step @p94 :rule process_scope :premises (@p228) :args (@t73)) % 0.46/0.66 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 0.46/0.66 (step @p97 :rule implies_elim :premises (@p96)) % 0.46/0.66 (step @p98 :rule chain_m_resolution :premises (@p97 @p11) :args (@t74 @t35 (@list @t19))) % 0.46/0.66 (step @p99 :rule cnf_equiv_pos2 :args (@t74)) % 0.46/0.66 (step @p100 :rule reordering :premises (@p99) :args ((or @t42 @t75 (not @t74)))) % 0.46/0.66 (step @p101 :rule refl :args (@t68)) % 0.46/0.66 (step @p102 :rule bool-double-not-elim :args (@t56)) % 0.46/0.66 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or (not @t76) @t68))) % 0.46/0.66 (step @p104 :rule bool-double-not-elim :args (@t68)) % 0.46/0.66 (step @p105 :rule refl :args (@t76)) % 0.46/0.66 (step @p106 :rule cong :premises (@p105 @p104) :args ((=> @t76 @t77))) % 0.46/0.66 (assume-push @p229 @t76) % 0.46/0.66 (step @p108 :rule skolemize :premises (@p229)) % 0.46/0.66 (step-pop @p230 :rule scope :premises (@p108)) % 0.46/0.66 (step @p109 :rule process_scope :premises (@p230) :args (@t77)) % 0.46/0.66 (step @p111 :rule eq_resolve :premises (@p109 @p106)) % 0.46/0.66 (step @p112 :rule implies_elim :premises (@p111)) % 0.46/0.66 (step @p113 :rule eq_resolve :premises (@p112 @p103)) % 0.46/0.66 (step @p114 :rule refl :args (@t82)) % 0.46/0.66 (step @p115 :rule bool-double-not-elim :args (@t72)) % 0.46/0.66 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or (not @t75) @t82))) % 0.46/0.66 (assume-push @p231 @t75) % 0.46/0.66 (step @p118 :rule skolemize :premises (@p231)) % 0.46/0.66 (step-pop @p232 :rule scope :premises (@p118)) % 0.46/0.66 (step @p119 :rule process_scope :premises (@p232) :args (@t82)) % 0.46/0.66 (step @p121 :rule implies_elim :premises (@p119)) % 0.46/0.66 (step @p122 :rule eq_resolve :premises (@p121 @p116)) % 0.46/0.66 (assume-push @p233 @t56) % 0.46/0.66 (step @p124 :rule instantiate :premises (@p233) :args (@t83)) % 0.46/0.66 (step-pop @p234 :rule scope :premises (@p124)) % 0.46/0.66 (step @p125 :rule process_scope :premises (@p234) :args ((not @t80))) % 0.46/0.66 (step @p127 :rule implies_elim :premises (@p125)) % 0.46/0.66 (step @p128 :rule instantiate :premises (@p3) :args (@t83)) % 0.46/0.66 (step @p129 :rule cnf_equiv_neg1 :args (@t81)) % 0.46/0.66 (step @p130 :rule reordering :premises (@p129) :args ((or @t80 @t79 @t81))) % 0.46/0.66 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p127 @p122 @p113 @p100 @p98 @p87 @p85 @p84 @p61 @p83 @p76 @p62 @p70 @p65 @p63) :args (@t51 (@list true true true false true false true false true true true false false false true false) (@list @t79 @t80 @t81 @t56 @t72 @t74 @t68 @t69 @t42 @t44 @t65 @t43 @t63 @t62 @t52 @t53))) % 0.46/0.66 (step @p132 :rule bool-double-not-elim :args (@t50)) % 0.46/0.66 (step @p133 :rule refl :args (@t52)) % 0.46/0.66 (step @p134 :rule refl :args (@t54)) % 0.46/0.66 (step @p135 :rule nary_cong :premises (@p134 @p133 @p132) :args ((or @t54 @t52 @t84))) % 0.46/0.66 (step @p136 :rule cnf_equiv_pos2 :args (@t53)) % 0.46/0.66 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.46/0.66 (step @p138 :rule reordering :premises (@p137) :args ((or @t52 @t50 @t54))) % 0.46/0.66 (step @p139 :rule chain_m_resolution :premises (@p138 @p131 @p63) :args (@t52 @t85 (@list @t50 @t53))) % 0.46/0.66 (step @p140 :rule cnf_equiv_pos1 :args (@t63)) % 0.46/0.66 (step @p141 :rule reordering :premises (@p140) :args ((or @t86 @t55 @t64))) % 0.46/0.66 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p62) :args (@t86 @t39 (@list @t52 @t63))) % 0.46/0.66 (step @p143 :rule cnf_equiv_neg1 :args (@t44)) % 0.46/0.66 (step @p144 :rule reordering :premises (@p143) :args ((or @t43 @t42 @t44))) % 0.46/0.66 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p61) :args (@t42 (@list true true) (@list @t43 @t44))) % 0.46/0.66 (step @p146 :rule instantiate :premises (@p22) :args ((@list @t24 @t41))) % 0.46/0.66 (step @p147 :rule instantiate :premises (@p1) :args ((@list @t40 @t24 @t87))) % 0.46/0.66 (step @p148 :rule refl :args (@t93)) % 0.46/0.66 (step @p149 :rule nary_cong :premises (@p132 @p148) :args ((or @t84 @t93))) % 0.46/0.66 (assume-push @p235 @t51) % 0.46/0.66 (step @p151 :rule skolemize :premises (@p235)) % 0.46/0.66 (step-pop @p236 :rule scope :premises (@p151)) % 0.46/0.66 (step @p152 :rule process_scope :premises (@p236) :args (@t93)) % 0.46/0.66 (step @p154 :rule implies_elim :premises (@p152)) % 0.46/0.66 (step @p155 :rule eq_resolve :premises (@p154 @p149)) % 0.46/0.66 (step @p156 :rule chain_m_resolution :premises (@p155 @p131) :args (@t93 @t32 (@list @t50))) % 0.46/0.66 (step @p157 :rule bool-double-not-elim :args (@t90)) % 0.46/0.66 (step @p158 :rule refl :args (@t92)) % 0.46/0.66 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or @t92 (not @t91)))) % 0.46/0.66 (step @p160 :rule cnf_or_neg :args (@t92 0)) % 0.46/0.66 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 0.46/0.66 (step @p162 :rule reordering :premises (@p161) :args ((or @t90 @t92))) % 0.46/0.66 (step @p163 :rule bool-double-not-elim :args (@t88)) % 0.46/0.66 (step @p164 :rule nary_cong :premises (@p158 @p163) :args ((or @t92 (not @t89)))) % 0.46/0.66 (step @p165 :rule cnf_or_neg :args (@t92 1)) % 0.46/0.66 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 0.46/0.66 (step @p167 :rule reordering :premises (@p166) :args ((or @t88 @t92))) % 0.46/0.66 (step @p168 :rule cnf_and_neg :args (@t94)) % 0.46/0.66 (step @p169 :rule reordering :premises (@p168) :args ((or @t91 @t89 @t94))) % 0.46/0.66 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p162) :args ((or @t92 @t94) @t39 (@list @t88 @t90))) % 0.46/0.66 (step @p171 :rule chain_m_resolution :premises (@p170 @p156) :args (@t94 @t32 @t95)) % 0.46/0.66 (step @p172 :rule cnf_equiv_pos2 :args (@t97)) % 0.46/0.66 (step @p173 :rule reordering :premises (@p172) :args ((or @t96 (not @t94) (not @t97)))) % 0.46/0.66 (step @p174 :rule chain_m_resolution :premises (@p173 @p171 @p147) :args (@t96 @t39 (@list @t94 @t97))) % 0.46/0.66 (step @p175 :rule chain_m_resolution :premises (@p167 @p156) :args (@t88 @t32 @t95)) % 0.46/0.66 (step @p176 :rule cnf_or_pos :args (@t99)) % 0.46/0.66 (step @p177 :rule reordering :premises (@p176) :args ((or @t89 @t98 @t100))) % 0.46/0.66 (step @p178 :rule chain_m_resolution :premises (@p177 @p175 @p174) :args (@t100 @t39 (@list @t88 @t96))) % 0.46/0.66 (assume-push @p237 @t101) % 0.46/0.66 (step @p180 :rule instantiate :premises (@p237) :args ((@list @t87))) % 0.46/0.66 (step-pop @p238 :rule scope :premises (@p180)) % 0.46/0.66 (step @p181 :rule process_scope :premises (@p238) :args (@t99)) % 0.46/0.66 (step @p183 :rule implies_elim :premises (@p181)) % 0.46/0.66 (step @p184 :rule chain_m_resolution :premises (@p183 @p178) :args (@t102 @t32 (@list @t99))) % 0.46/0.66 (step @p185 :rule bool-double-not-elim :args (@t101)) % 0.46/0.66 (step @p186 :rule refl :args (@t103)) % 0.46/0.66 (step @p187 :rule refl :args (@t105)) % 0.46/0.66 (step @p188 :rule nary_cong :premises (@p187 @p186 @p185) :args ((or @t105 @t103 (not @t102)))) % 0.46/0.66 (step @p189 :rule cnf_equiv_pos2 :args (@t104)) % 0.46/0.66 (step @p190 :rule eq_resolve :premises (@p189 @p188)) % 0.46/0.66 (step @p191 :rule reordering :premises (@p190) :args ((or @t103 @t101 @t105))) % 0.46/0.66 (step @p192 :rule chain_m_resolution :premises (@p191 @p184 @p146) :args (@t103 @t85 (@list @t101 @t104))) % 0.46/0.66 (step @p193 :rule refl :args (@t106)) % 0.46/0.66 (step @p194 :rule bool-double-not-elim :args (@t36)) % 0.46/0.66 (step @p195 :rule refl :args (@t107)) % 0.46/0.66 (step @p196 :rule nary_cong :premises (@p195 @p194 @p193) :args ((or @t107 (not @t38) @t106))) % 0.46/0.66 (assume-push @p239 @t42) % 0.46/0.66 (assume-push @p240 @t38) % 0.46/0.66 (assume-push @p241 @t38) % 0.46/0.66 (assume-push @p242 @t42) % 0.46/0.66 (step @p201 :rule false_intro :premises (@p240)) % 0.46/0.66 (step @p202 :rule symm :premises (@p239)) % 0.46/0.66 (step @p203 :rule refl :args (@t24)) % 0.46/0.66 (step @p204 :rule cong :premises (@p203 @p202) :args (@t103)) % 0.46/0.66 (step @p205 :rule trans :premises (@p204 @p201)) % 0.46/0.66 (step @p206 :rule false_elim :premises (@p205)) % 0.46/0.66 (step-pop @p243 :rule scope :premises (@p206)) % 0.46/0.66 (step-pop @p244 :rule scope :premises (@p243)) % 0.46/0.66 (step @p207 :rule process_scope :premises (@p244) :args (@t106)) % 0.46/0.66 (step @p210 :rule and_intro :premises (@p240 @p239)) % 0.46/0.66 (step @p211 :rule modus_ponens :premises (@p210 @p207)) % 0.46/0.66 (step-pop @p245 :rule scope :premises (@p211)) % 0.46/0.66 (step-pop @p246 :rule scope :premises (@p245)) % 0.46/0.66 (step @p212 :rule process_scope :premises (@p246) :args (@t106)) % 0.46/0.66 (step @p215 :rule implies_elim :premises (@p212)) % 0.46/0.66 (step @p216 :rule cnf_and_neg :args (@t108)) % 0.46/0.66 (step @p217 :rule resolution :premises (@p216 @p215) :args (true @t108)) % 0.46/0.66 (step @p218 :rule eq_resolve :premises (@p217 @p196)) % 0.46/0.66 (step @p219 :rule reordering :premises (@p218) :args ((or @t107 @t106 @t36))) % 0.46/0.66 (step @p220 false :rule chain_m_resolution :premises (@p219 @p192 @p145 @p44) :args (false (@list false false true) (@list @t103 @t42 @t36))) % 0.46/0.66 ) % 0.46/0.66 % SZS output end Proof % 0.46/0.66 % cvc5 exiting %------------------------------------------------------------------------------