%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET959+1 : TPTP v9.2.1. Bugfixed v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:49:03 AM UTC 2026 % Result : Theorem 0.46s 0.65s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET959+1 : TPTP v9.2.1. Bugfixed v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:19:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.65 % SZS status Theorem % 0.46/0.65 % SZS output start Proof % 0.46/0.65 ( % 0.46/0.65 (declare-sort $$unsorted 0) % 0.46/0.65 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.46/0.65 (define @t1 () (@var "A" $$unsorted)) % 0.46/0.65 (define @t2 () (@var "B" $$unsorted)) % 0.46/0.65 (define @t3 () (@list @t1 @t2)) % 0.46/0.65 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 0.46/0.65 (define @t5 () (tptp.ordered_pair @t1 @t2)) % 0.46/0.65 (define @t6 () (tptp.empty @t1)) % 0.46/0.65 (define @t7 () (@list @t1)) % 0.46/0.65 (define @t8 () (= @t1 @t2)) % 0.46/0.65 (define @t9 () (@var "D" $$unsorted)) % 0.46/0.65 (define @t10 () (@var "C" $$unsorted)) % 0.46/0.65 (define @t11 () (tptp.ordered_pair @t10 @t9)) % 0.46/0.65 (define @t12 () (@list @t10 @t9)) % 0.46/0.65 (define @t13 () (forall @t12 (= (tptp.in @t11 @t1) (tptp.in @t11 @t2)))) % 0.46/0.65 (define @t14 () (@var "E" $$unsorted)) % 0.46/0.65 (define @t15 () (tptp.ordered_pair @t9 @t14)) % 0.46/0.65 (define @t16 () (@list @t9 @t14)) % 0.46/0.65 (define @t17 () (forall @t16 (not (= @t10 @t15)))) % 0.46/0.65 (define @t18 () (tptp.in @t10 @t2)) % 0.46/0.65 (define @t19 () (@list @t10)) % 0.46/0.65 (define @t20 () (forall @t19 (not (and @t18 @t17)))) % 0.46/0.65 (define @t21 () (tptp.in @t10 @t1)) % 0.46/0.65 (define @t22 () (forall @t19 (not (and @t21 @t17)))) % 0.46/0.65 (define @t23 () (and @t22 @t20 @t13)) % 0.46/0.65 (define @t24 () (=> @t23 @t8)) % 0.46/0.65 (define @t25 () (forall @t3 @t24)) % 0.46/0.65 (define @t26 () (not @t25)) % 0.46/0.65 (define @t27 () (forall @t19 (= @t21 @t18))) % 0.46/0.65 (define @t28 () (forall @t3 (=> @t27 @t8))) % 0.46/0.65 (define @t29 () (not @t13)) % 0.46/0.65 (define @t30 () (not @t17)) % 0.46/0.65 (define @t31 () (forall @t19 (or (not @t18) @t30))) % 0.46/0.65 (define @t32 () (not @t31)) % 0.46/0.65 (define @t33 () (forall @t19 (or (not @t21) @t30))) % 0.46/0.65 (define @t34 () (not @t33)) % 0.46/0.65 (define @t35 () (or @t34 @t32 @t29 @t8)) % 0.46/0.65 (define @t36 () (or @t34 @t32 @t29)) % 0.46/0.65 (define @t37 () (and @t33 @t31 @t13)) % 0.46/0.65 (define @t38 () (forall @t3 @t35)) % 0.46/0.65 (define @t39 () (@quantifiers_skolemize @t38 1)) % 0.46/0.65 (define @t40 () (tptp.in @t10 @t39)) % 0.46/0.65 (define @t41 () (forall @t19 (or (not @t40) @t30))) % 0.46/0.65 (define @t42 () (@quantifiers_skolemize @t38 0)) % 0.46/0.65 (define @t43 () (= @t42 @t39)) % 0.46/0.65 (define @t44 () (forall @t12 (= (tptp.in @t11 @t42) (tptp.in @t11 @t39)))) % 0.46/0.65 (define @t45 () (not @t44)) % 0.46/0.65 (define @t46 () (not @t41)) % 0.46/0.65 (define @t47 () (tptp.in @t10 @t42)) % 0.46/0.65 (define @t48 () (forall @t19 (or (not @t47) @t30))) % 0.46/0.65 (define @t49 () (not @t48)) % 0.46/0.65 (define @t50 () (or @t49 @t46 @t45 @t43)) % 0.46/0.65 (define @t51 () (@list true)) % 0.46/0.65 (define @t52 () (@list @t50)) % 0.46/0.65 (define @t53 () (forall @t19 (= @t40 @t47))) % 0.46/0.65 (define @t54 () (not @t53)) % 0.46/0.65 (define @t55 () (or @t54 (= @t39 @t42))) % 0.46/0.65 (define @t56 () (forall @t3 (or (not @t27) @t8))) % 0.46/0.65 (define @t57 () (forall @t19 (= @t47 @t40))) % 0.46/0.65 (define @t58 () (not @t57)) % 0.46/0.65 (define @t59 () (or @t58 @t43)) % 0.46/0.65 (define @t60 () (@list false)) % 0.46/0.65 (define @t61 () (@list true false)) % 0.46/0.65 (define @t62 () (@quantifiers_skolemize @t57 0)) % 0.46/0.65 (define @t63 () (tptp.in @t62 @t39)) % 0.46/0.65 (define @t64 () (tptp.in @t62 @t42)) % 0.46/0.65 (define @t65 () (= @t64 @t63)) % 0.46/0.65 (define @t66 () (forall @t16 (not (= @t15 @t62)))) % 0.46/0.65 (define @t67 () (@quantifiers_skolemize @t66 1)) % 0.46/0.65 (define @t68 () (@quantifiers_skolemize @t66 0)) % 0.46/0.65 (define @t69 () (tptp.ordered_pair @t68 @t67)) % 0.46/0.65 (define @t70 () (tptp.in @t69 @t39)) % 0.46/0.65 (define @t71 () (not @t70)) % 0.46/0.65 (define @t72 () (= @t62 @t69)) % 0.46/0.65 (define @t73 () (not @t72)) % 0.46/0.65 (define @t74 () (not @t63)) % 0.46/0.65 (define @t75 () (and @t74 @t72)) % 0.46/0.65 (define @t76 () (tptp.in @t69 @t42)) % 0.46/0.65 (define @t77 () (and @t64 @t72)) % 0.46/0.65 (define @t78 () (= @t76 @t70)) % 0.46/0.65 (define @t79 () (not @t78)) % 0.46/0.65 (define @t80 () (not @t76)) % 0.46/0.65 (define @t81 () (and @t63 @t72)) % 0.46/0.65 (define @t82 () (not @t64)) % 0.46/0.65 (define @t83 () (and @t82 @t72)) % 0.46/0.65 (define @t84 () (not @t66)) % 0.46/0.65 (define @t85 () (= @t69 @t62)) % 0.46/0.65 (define @t86 () (not (not @t85))) % 0.46/0.65 (define @t87 () (not (= @t62 @t15))) % 0.46/0.65 (define @t88 () (forall @t16 @t87)) % 0.46/0.65 (define @t89 () (not @t88)) % 0.46/0.65 (define @t90 () (or @t82 @t89)) % 0.46/0.65 (define @t91 () (@list @t62)) % 0.46/0.65 (define @t92 () (or @t82 @t84)) % 0.46/0.65 (define @t93 () (@list false false)) % 0.46/0.65 (define @t94 () (or @t74 @t84)) % 0.46/0.65 (define @t95 () (not @t94)) % 0.46/0.65 (define @t96 () (or @t74 @t89)) % 0.46/0.65 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 0.46/0.65 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 0.46/0.65 (assume @p3 (forall @t3 (= @t5 (tptp.unordered_pair @t4 (tptp.singleton @t1))))) % 0.46/0.65 (assume @p4 (forall @t3 (not (tptp.empty @t5)))) % 0.46/0.65 (assume @p5 (exists @t7 @t6)) % 0.46/0.65 (assume @p6 (exists @t7 (not @t6))) % 0.46/0.65 (assume @p7 @t26) % 0.46/0.65 (assume @p8 @t28) % 0.46/0.65 (assume @p9 true) % 0.46/0.65 (step @p10 :rule aci_norm :args ((= (or @t36 @t8) @t35))) % 0.46/0.65 (step @p11 :rule refl :args (@t8)) % 0.46/0.65 (step @p12 :rule aci_norm :args ((= (or @t34 (or @t32 @t29)) @t36))) % 0.46/0.65 (step @p13 :rule bool-and-de-morgan :args (@t31 @t13 true)) % 0.46/0.65 (step @p14 :rule refl :args (@t34)) % 0.46/0.65 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t34 (not (and @t31 @t13))))) % 0.46/0.65 (step @p16 :rule bool-and-de-morgan :args (@t33 @t31 (and @t13))) % 0.46/0.65 (step @p17 :rule trans :premises (@p16 @p15)) % 0.46/0.65 (step @p18 :rule trans :premises (@p17 @p12)) % 0.46/0.65 (step @p19 :rule nary_cong :premises (@p18 @p11) :args ((or (not @t37) @t8))) % 0.46/0.65 (step @p20 :rule trans :premises (@p19 @p10)) % 0.46/0.65 (step @p21 :rule bool-impl-elim :args (@t37 @t8)) % 0.46/0.65 (step @p22 :rule trans :premises (@p21 @p20)) % 0.46/0.65 (step @p23 :rule cong :premises (@p22) :args ((forall @t3 (=> @t37 @t8)))) % 0.46/0.65 (step @p24 :rule refl :args (@t8)) % 0.46/0.65 (step @p25 :rule refl :args (@t13)) % 0.46/0.65 (step @p26 :rule bool-and-de-morgan :args (@t18 @t17 true)) % 0.46/0.65 (step @p27 :rule cong :premises (@p26) :args (@t20)) % 0.46/0.65 (step @p28 :rule bool-and-de-morgan :args (@t21 @t17 true)) % 0.46/0.65 (step @p29 :rule cong :premises (@p28) :args (@t22)) % 0.46/0.65 (step @p30 :rule nary_cong :premises (@p29 @p27 @p25) :args (@t23)) % 0.46/0.65 (step @p31 :rule cong :premises (@p30 @p24) :args (@t24)) % 0.46/0.65 (step @p32 :rule cong :premises (@p31) :args (@t25)) % 0.46/0.65 (step @p33 :rule trans :premises (@p32 @p23)) % 0.46/0.65 (step @p34 :rule cong :premises (@p33) :args (@t26)) % 0.46/0.65 (step @p35 :rule eq_resolve :premises (@p7 @p34)) % 0.46/0.65 (step @p36 :rule skolemize :premises (@p35)) % 0.46/0.65 (step @p37 :rule bool-double-not-elim :args (@t41)) % 0.46/0.65 (step @p38 :rule refl :args (@t50)) % 0.46/0.65 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t50 (not @t46)))) % 0.46/0.65 (step @p40 :rule cnf_or_neg :args (@t50 1)) % 0.46/0.65 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.46/0.65 (step @p42 :rule reordering :premises (@p41) :args ((or @t41 @t50))) % 0.46/0.65 (step @p43 :rule chain_m_resolution :premises (@p42 @p36) :args (@t41 @t51 @t52)) % 0.46/0.65 (step @p44 :rule bool-impl-elim :args (@t27 @t8)) % 0.46/0.65 (step @p45 :rule cong :premises (@p44) :args (@t28)) % 0.46/0.65 (step @p46 :rule eq_resolve :premises (@p8 @p45)) % 0.46/0.65 (step @p47 :rule eq-symm :args (@t39 @t42)) % 0.46/0.65 (step @p48 :rule eq-symm :args (@t40 @t47)) % 0.46/0.65 (step @p49 :rule cong :premises (@p48) :args (@t53)) % 0.46/0.65 (step @p50 :rule cong :premises (@p49) :args (@t54)) % 0.46/0.65 (step @p51 :rule nary_cong :premises (@p50 @p47) :args (@t55)) % 0.46/0.65 (step @p52 :rule refl :args (@t56)) % 0.46/0.65 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t56 @t55))) % 0.46/0.65 (assume-push @p229 @t56) % 0.46/0.65 (step @p55 :rule instantiate :premises (@p46) :args ((@list @t39 @t42))) % 0.46/0.65 (step-pop @p230 :rule scope :premises (@p55)) % 0.46/0.65 (step @p56 :rule process_scope :premises (@p230) :args (@t55)) % 0.46/0.65 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 0.46/0.65 (step @p59 :rule implies_elim :premises (@p58)) % 0.46/0.65 (step @p60 :rule chain_m_resolution :premises (@p59 @p46) :args (@t59 @t60 (@list @t56))) % 0.46/0.65 (step @p61 :rule cnf_or_neg :args (@t50 3)) % 0.46/0.65 (step @p62 :rule chain_m_resolution :premises (@p61 @p36) :args ((not @t43) @t51 @t52)) % 0.46/0.65 (step @p63 :rule cnf_or_pos :args (@t59)) % 0.46/0.65 (step @p64 :rule reordering :premises (@p63) :args ((or @t43 @t58 (not @t59)))) % 0.46/0.65 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p60) :args (@t58 @t61 (@list @t43 @t59))) % 0.46/0.65 (step @p66 :rule skolemize :premises (@p65)) % 0.46/0.65 (step @p67 :rule cnf_equiv_neg1 :args (@t65)) % 0.46/0.65 (step @p68 :rule reordering :premises (@p67) :args ((or @t64 @t63 @t65))) % 0.46/0.65 (step @p69 :rule refl :args (@t71)) % 0.46/0.65 (step @p70 :rule refl :args (@t73)) % 0.46/0.65 (step @p71 :rule bool-double-not-elim :args (@t63)) % 0.46/0.65 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69) :args ((or (not @t74) @t73 @t71))) % 0.46/0.65 (assume-push @p231 @t74) % 0.46/0.65 (assume-push @p232 @t72) % 0.46/0.65 (assume-push @p233 @t74) % 0.46/0.65 (assume-push @p234 @t72) % 0.46/0.65 (step @p77 :rule false_intro :premises (@p231)) % 0.46/0.65 (step @p78 :rule refl :args (@t39)) % 0.46/0.65 (step @p79 :rule symm :premises (@p232)) % 0.46/0.65 (step @p80 :rule cong :premises (@p79 @p78) :args (@t70)) % 0.46/0.65 (step @p81 :rule trans :premises (@p80 @p77)) % 0.46/0.65 (step @p82 :rule false_elim :premises (@p81)) % 0.46/0.65 (step-pop @p235 :rule scope :premises (@p82)) % 0.46/0.65 (step-pop @p236 :rule scope :premises (@p235)) % 0.46/0.65 (step @p83 :rule process_scope :premises (@p236) :args (@t71)) % 0.46/0.65 (step @p86 :rule and_intro :premises (@p231 @p232)) % 0.46/0.65 (step @p87 :rule modus_ponens :premises (@p86 @p83)) % 0.46/0.65 (step-pop @p237 :rule scope :premises (@p87)) % 0.46/0.65 (step-pop @p238 :rule scope :premises (@p237)) % 0.46/0.65 (step @p88 :rule process_scope :premises (@p238) :args (@t71)) % 0.46/0.65 (step @p91 :rule implies_elim :premises (@p88)) % 0.46/0.65 (step @p92 :rule cnf_and_neg :args (@t75)) % 0.46/0.65 (step @p93 :rule resolution :premises (@p92 @p91) :args (true @t75)) % 0.46/0.65 (step @p94 :rule eq_resolve :premises (@p93 @p72)) % 0.46/0.65 (assume-push @p239 @t64) % 0.46/0.65 (assume-push @p240 @t72) % 0.46/0.65 (assume-push @p241 @t64) % 0.46/0.65 (assume-push @p242 @t72) % 0.46/0.65 (step @p99 :rule true_intro :premises (@p239)) % 0.46/0.65 (step @p100 :rule refl :args (@t42)) % 0.46/0.65 (step @p101 :rule symm :premises (@p240)) % 0.46/0.65 (step @p102 :rule cong :premises (@p101 @p100) :args (@t76)) % 0.46/0.65 (step @p103 :rule trans :premises (@p102 @p99)) % 0.46/0.65 (step @p104 :rule true_elim :premises (@p103)) % 0.46/0.65 (step-pop @p243 :rule scope :premises (@p104)) % 0.46/0.65 (step-pop @p244 :rule scope :premises (@p243)) % 0.46/0.65 (step @p105 :rule process_scope :premises (@p244) :args (@t76)) % 0.46/0.65 (step @p108 :rule and_intro :premises (@p239 @p240)) % 0.46/0.65 (step @p109 :rule modus_ponens :premises (@p108 @p105)) % 0.46/0.65 (step-pop @p245 :rule scope :premises (@p109)) % 0.46/0.65 (step-pop @p246 :rule scope :premises (@p245)) % 0.46/0.65 (step @p110 :rule process_scope :premises (@p246) :args (@t76)) % 0.46/0.65 (step @p113 :rule implies_elim :premises (@p110)) % 0.46/0.65 (step @p114 :rule cnf_and_neg :args (@t77)) % 0.46/0.65 (step @p115 :rule resolution :premises (@p114 @p113) :args (true @t77)) % 0.46/0.65 (step @p116 :rule bool-double-not-elim :args (@t44)) % 0.46/0.65 (step @p117 :rule nary_cong :premises (@p38 @p116) :args ((or @t50 (not @t45)))) % 0.46/0.65 (step @p118 :rule cnf_or_neg :args (@t50 2)) % 0.46/0.65 (step @p119 :rule eq_resolve :premises (@p118 @p117)) % 0.46/0.65 (step @p120 :rule reordering :premises (@p119) :args ((or @t44 @t50))) % 0.46/0.65 (step @p121 :rule chain_m_resolution :premises (@p120 @p36) :args (@t44 @t51 @t52)) % 0.46/0.65 (step @p122 :rule instantiate :premises (@p121) :args ((@list @t68 @t67))) % 0.46/0.65 (step @p123 :rule cnf_equiv_pos1 :args (@t78)) % 0.46/0.65 (step @p124 :rule reordering :premises (@p123) :args ((or @t70 @t80 @t79))) % 0.46/0.65 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p115 @p94 @p68 @p66) :args ((or @t63 @t73) (@list false false true false true) (@list @t78 @t76 @t70 @t64 @t65))) % 0.46/0.65 (step @p126 :rule cnf_equiv_neg2 :args (@t65)) % 0.46/0.65 (assume-push @p247 @t63) % 0.46/0.65 (assume-push @p248 @t72) % 0.46/0.65 (assume-push @p249 @t63) % 0.46/0.65 (assume-push @p250 @t72) % 0.46/0.65 (step @p131 :rule true_intro :premises (@p247)) % 0.46/0.65 (step @p78 :rule refl :args (@t39)) % 0.46/0.65 (step @p132 :rule symm :premises (@p248)) % 0.46/0.65 (step @p133 :rule cong :premises (@p132 @p78) :args (@t70)) % 0.46/0.65 (step @p134 :rule trans :premises (@p133 @p131)) % 0.46/0.65 (step @p135 :rule true_elim :premises (@p134)) % 0.46/0.65 (step-pop @p251 :rule scope :premises (@p135)) % 0.46/0.65 (step-pop @p252 :rule scope :premises (@p251)) % 0.46/0.65 (step @p136 :rule process_scope :premises (@p252) :args (@t70)) % 0.46/0.65 (step @p139 :rule and_intro :premises (@p247 @p248)) % 0.46/0.65 (step @p140 :rule modus_ponens :premises (@p139 @p136)) % 0.46/0.65 (step-pop @p253 :rule scope :premises (@p140)) % 0.46/0.65 (step-pop @p254 :rule scope :premises (@p253)) % 0.46/0.65 (step @p141 :rule process_scope :premises (@p254) :args (@t70)) % 0.46/0.65 (step @p144 :rule implies_elim :premises (@p141)) % 0.46/0.65 (step @p145 :rule cnf_and_neg :args (@t81)) % 0.46/0.65 (step @p146 :rule resolution :premises (@p145 @p144) :args (true @t81)) % 0.46/0.65 (step @p147 :rule refl :args (@t80)) % 0.46/0.65 (step @p148 :rule bool-double-not-elim :args (@t64)) % 0.46/0.65 (step @p149 :rule nary_cong :premises (@p148 @p70 @p147) :args ((or (not @t82) @t73 @t80))) % 0.46/0.65 (assume-push @p255 @t82) % 0.46/0.65 (assume-push @p256 @t72) % 0.46/0.65 (assume-push @p257 @t82) % 0.46/0.65 (assume-push @p258 @t72) % 0.46/0.65 (step @p154 :rule false_intro :premises (@p255)) % 0.46/0.65 (step @p100 :rule refl :args (@t42)) % 0.46/0.65 (step @p155 :rule symm :premises (@p256)) % 0.46/0.65 (step @p156 :rule cong :premises (@p155 @p100) :args (@t76)) % 0.46/0.65 (step @p157 :rule trans :premises (@p156 @p154)) % 0.46/0.65 (step @p158 :rule false_elim :premises (@p157)) % 0.46/0.65 (step-pop @p259 :rule scope :premises (@p158)) % 0.46/0.65 (step-pop @p260 :rule scope :premises (@p259)) % 0.46/0.65 (step @p159 :rule process_scope :premises (@p260) :args (@t80)) % 0.46/0.65 (step @p162 :rule and_intro :premises (@p255 @p256)) % 0.46/0.65 (step @p163 :rule modus_ponens :premises (@p162 @p159)) % 0.46/0.65 (step-pop @p261 :rule scope :premises (@p163)) % 0.46/0.65 (step-pop @p262 :rule scope :premises (@p261)) % 0.46/0.65 (step @p164 :rule process_scope :premises (@p262) :args (@t80)) % 0.46/0.65 (step @p167 :rule implies_elim :premises (@p164)) % 0.46/0.65 (step @p168 :rule cnf_and_neg :args (@t83)) % 0.46/0.65 (step @p169 :rule resolution :premises (@p168 @p167) :args (true @t83)) % 0.46/0.65 (step @p170 :rule eq_resolve :premises (@p169 @p149)) % 0.46/0.65 (step @p171 :rule cnf_equiv_pos2 :args (@t78)) % 0.46/0.65 (step @p172 :rule reordering :premises (@p171) :args ((or @t76 @t71 @t79))) % 0.46/0.65 (step @p173 :rule chain_m_resolution :premises (@p172 @p122 @p170 @p146 @p126 @p66 @p125) :args (@t73 (@list false true false true true false) (@list @t78 @t76 @t70 @t64 @t65 @t63))) % 0.46/0.65 (step @p174 :rule refl :args (@t72)) % 0.46/0.65 (step @p175 :rule bool-double-not-elim :args (@t66)) % 0.46/0.65 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or (not @t84) @t72))) % 0.46/0.65 (step @p177 :rule eq-symm :args (@t69 @t62)) % 0.46/0.65 (step @p178 :rule bool-double-not-elim :args (@t85)) % 0.46/0.65 (step @p179 :rule trans :premises (@p178 @p177)) % 0.46/0.65 (step @p180 :rule refl :args (@t84)) % 0.46/0.65 (step @p181 :rule cong :premises (@p180 @p179) :args ((=> @t84 @t86))) % 0.46/0.65 (assume-push @p263 @t84) % 0.46/0.65 (step @p183 :rule skolemize :premises (@p263)) % 0.46/0.65 (step-pop @p264 :rule scope :premises (@p183)) % 0.46/0.65 (step @p184 :rule process_scope :premises (@p264) :args (@t86)) % 0.46/0.65 (step @p186 :rule eq_resolve :premises (@p184 @p181)) % 0.46/0.65 (step @p187 :rule implies_elim :premises (@p186)) % 0.46/0.65 (step @p188 :rule eq_resolve :premises (@p187 @p176)) % 0.46/0.65 (step @p189 :rule chain_m_resolution :premises (@p188 @p173) :args (@t66 @t51 (@list @t72))) % 0.46/0.65 (step @p190 :rule bool-double-not-elim :args (@t48)) % 0.46/0.65 (step @p191 :rule nary_cong :premises (@p38 @p190) :args ((or @t50 (not @t49)))) % 0.46/0.65 (step @p192 :rule cnf_or_neg :args (@t50 0)) % 0.46/0.65 (step @p193 :rule eq_resolve :premises (@p192 @p191)) % 0.46/0.65 (step @p194 :rule reordering :premises (@p193) :args ((or @t48 @t50))) % 0.46/0.65 (step @p195 :rule chain_m_resolution :premises (@p194 @p36) :args (@t48 @t51 @t52)) % 0.46/0.65 (step @p196 :rule eq-symm :args (@t62 @t15)) % 0.46/0.65 (step @p197 :rule cong :premises (@p196) :args (@t87)) % 0.46/0.65 (step @p198 :rule cong :premises (@p197) :args (@t88)) % 0.46/0.65 (step @p199 :rule cong :premises (@p198) :args (@t89)) % 0.46/0.65 (step @p200 :rule refl :args (@t82)) % 0.46/0.65 (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t90)) % 0.46/0.65 (step @p202 :rule refl :args (@t48)) % 0.46/0.65 (step @p203 :rule cong :premises (@p202 @p201) :args ((=> @t48 @t90))) % 0.46/0.65 (assume-push @p265 @t48) % 0.46/0.65 (step @p205 :rule instantiate :premises (@p195) :args (@t91)) % 0.46/0.65 (step-pop @p266 :rule scope :premises (@p205)) % 0.46/0.65 (step @p206 :rule process_scope :premises (@p266) :args (@t90)) % 0.46/0.65 (step @p208 :rule eq_resolve :premises (@p206 @p203)) % 0.46/0.65 (step @p209 :rule implies_elim :premises (@p208)) % 0.46/0.65 (step @p210 :rule chain_m_resolution :premises (@p209 @p195) :args (@t92 @t60 (@list @t48))) % 0.46/0.65 (step @p211 :rule cnf_or_pos :args (@t92)) % 0.46/0.65 (step @p212 :rule reordering :premises (@p211) :args ((or @t82 @t84 (not @t92)))) % 0.46/0.65 (step @p213 :rule chain_m_resolution :premises (@p212 @p189 @p210) :args (@t82 @t93 (@list @t66 @t92))) % 0.46/0.65 (step @p214 :rule chain_m_resolution :premises (@p68 @p213 @p66) :args (@t63 (@list true true) (@list @t64 @t65))) % 0.46/0.65 (step @p215 :rule cnf_or_pos :args (@t94)) % 0.46/0.65 (step @p216 :rule reordering :premises (@p215) :args ((or @t74 @t84 @t95))) % 0.46/0.65 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p189) :args (@t95 @t93 (@list @t63 @t66))) % 0.46/0.65 (step @p218 :rule refl :args (@t74)) % 0.46/0.65 (step @p219 :rule nary_cong :premises (@p218 @p199) :args (@t96)) % 0.46/0.65 (step @p220 :rule refl :args (@t41)) % 0.46/0.65 (step @p221 :rule cong :premises (@p220 @p219) :args ((=> @t41 @t96))) % 0.46/0.65 (assume-push @p267 @t41) % 0.46/0.65 (step @p223 :rule instantiate :premises (@p43) :args (@t91)) % 0.46/0.65 (step-pop @p268 :rule scope :premises (@p223)) % 0.46/0.65 (step @p224 :rule process_scope :premises (@p268) :args (@t96)) % 0.46/0.65 (step @p226 :rule eq_resolve :premises (@p224 @p221)) % 0.46/0.65 (step @p227 :rule implies_elim :premises (@p226)) % 0.46/0.65 (step @p228 false :rule chain_m_resolution :premises (@p227 @p217 @p43) :args (false @t61 (@list @t94 @t41))) % 0.46/0.65 ) % 0.46/0.65 % SZS output end Proof % 0.46/0.65 % cvc5 exiting %------------------------------------------------------------------------------