%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV121^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:55:28 AM UTC 2026 % Result : Theorem 153.91s 154.25s % Output : Proof 153.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV121^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n018.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 18:14:20 EDT 2026 % 0.18/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 153.91/154.25 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 153.91/154.25 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 153.91/154.25 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 153.91/154.25 --- Run --ho-elim --full-saturate-quant at 18s... % 153.91/154.25 % SZS status Theorem % 153.91/154.25 % SZS output start Proof % 153.91/154.25 ( % 153.91/154.25 (declare-sort $$unsorted 0) % 153.91/154.25 (define @t1 () (@var "Xy" $$unsorted)) % 153.91/154.25 (define @t2 () (@var "Xx" $$unsorted)) % 153.91/154.25 (define @t3 () (@var "Xp" (-> $$unsorted $$unsorted Bool))) % 153.91/154.25 (define @t4 () (_ (_ @t3 @t2) @t1)) % 153.91/154.25 (define @t5 () (@var "Xx0" $$unsorted)) % 153.91/154.25 (define @t6 () (_ (_ @t3 @t5) @t5)) % 153.91/154.25 (define @t7 () (@list @t5)) % 153.91/154.25 (define @t8 () (forall @t7 @t6)) % 153.91/154.25 (define @t9 () (=> @t8 @t4)) % 153.91/154.25 (define @t10 () (@list @t3)) % 153.91/154.25 (define @t11 () (forall @t10 @t9)) % 153.91/154.25 (define @t12 () (@list @t2 @t1)) % 153.91/154.25 (define @t13 () (lambda @t12 @t11)) % 153.91/154.25 (define @t14 () (@var "Xv" $$unsorted)) % 153.91/154.25 (define @t15 () (@var "Xu" $$unsorted)) % 153.91/154.25 (define @t16 () (lambda (@list @t15 @t14) (= @t15 @t14))) % 153.91/154.25 (define @t17 () (= @t16 @t13)) % 153.91/154.25 (define @t18 () (not @t17)) % 153.91/154.25 (define @t19 () (@var "BOUND_VARIABLE_7470" $$unsorted)) % 153.91/154.25 (define @t20 () (@var "BOUND_VARIABLE_7469" $$unsorted)) % 153.91/154.25 (define @t21 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 153.91/154.25 (define @t22 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 153.91/154.25 (define @t23 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 153.91/154.25 (define @t24 () (= @t20 @t19)) % 153.91/154.25 (define @t25 () (@list @t20 @t19)) % 153.91/154.25 (define @t26 () (forall @t25 (= @t24 (_ @t23 (_ @t22 @t21 @t20) @t19)))) % 153.91/154.25 (define @t27 () (@const 3 (-> $$unsorted $$unsorted Bool))) % 153.91/154.25 (define @t28 () (forall @t25 (= @t24 (_ @t27 @t20 @t19)))) % 153.91/154.25 (define @t29 () (@var "z" $$unsorted)) % 153.91/154.25 (define @t30 () (@var "z" $$unsorted)) % 153.91/154.25 (define @t31 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 153.91/154.25 (define @t32 () (@list @t30)) % 153.91/154.25 (define @t33 () (forall @t32 (= (_ @t22 @t31 @t30) (_ @t22 @t21 @t30)))) % 153.91/154.25 (define @t34 () (@quantifiers_skolemize @t33 0)) % 153.91/154.25 (define @t35 () (_ @t22 @t31 @t34)) % 153.91/154.25 (define @t36 () (_ @t22 @t21 @t34)) % 153.91/154.25 (define @t37 () (@list @t29)) % 153.91/154.25 (define @t38 () (forall @t37 (= (_ @t23 @t36 @t29) (_ @t23 @t35 @t29)))) % 153.91/154.25 (define @t39 () (@quantifiers_skolemize @t38 0)) % 153.91/154.25 (define @t40 () (= @t34 @t39)) % 153.91/154.25 (define @t41 () (_ @t23 @t36 @t39)) % 153.91/154.25 (define @t42 () (= @t40 @t41)) % 153.91/154.25 (define @t43 () (@list @t34 @t39)) % 153.91/154.25 (define @t44 () (= @t41 @t40)) % 153.91/154.25 (define @t45 () (@list false)) % 153.91/154.25 (define @t46 () (@list @t26)) % 153.91/154.25 (define @t47 () (@var "y" (@ho-elim-sort (-> $$unsorted Bool)))) % 153.91/154.25 (define @t48 () (@var "x" (@ho-elim-sort (-> $$unsorted Bool)))) % 153.91/154.25 (define @t49 () (forall (@list @t48 @t47) (or (not (forall @t37 (= (_ @t23 @t48 @t29) (_ @t23 @t47 @t29)))) (= @t48 @t47)))) % 153.91/154.25 (define @t50 () (not @t38)) % 153.91/154.25 (define @t51 () (or @t50 (= @t36 @t35))) % 153.91/154.25 (define @t52 () (= @t35 @t36)) % 153.91/154.25 (define @t53 () (or @t50 @t52)) % 153.91/154.25 (define @t54 () (@var "y" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 153.91/154.25 (define @t55 () (@var "x" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 153.91/154.25 (define @t56 () (forall (@list @t55 @t54) (or (not (forall @t32 (= (_ @t22 @t55 @t30) (_ @t22 @t54 @t30)))) (= @t55 @t54)))) % 153.91/154.25 (define @t57 () (not @t33)) % 153.91/154.25 (define @t58 () (= @t31 @t21)) % 153.91/154.25 (define @t59 () (or @t57 @t58)) % 153.91/154.25 (define @t60 () (= @t21 @t31)) % 153.91/154.25 (define @t61 () (or @t57 @t60)) % 153.91/154.25 (define @t62 () (not @t58)) % 153.91/154.25 (define @t63 () (@const 5 (-> $$unsorted $$unsorted Bool))) % 153.91/154.25 (define @t64 () (not (= @t27 @t63))) % 153.91/154.25 (define @t65 () (_ @t3 @t2 @t1)) % 153.91/154.25 (define @t66 () (_ @t3 @t5 @t5)) % 153.91/154.25 (define @t67 () (forall @t7 @t66)) % 153.91/154.25 (define @t68 () (not @t67)) % 153.91/154.25 (define @t69 () (or @t68 @t4)) % 153.91/154.25 (define @t70 () (@list true false)) % 153.91/154.25 (define @t71 () (_ @t23 @t35 @t39)) % 153.91/154.25 (define @t72 () (= @t41 @t71)) % 153.91/154.25 (define @t73 () (forall @t7 (_ @t23 (_ @t22 @t21 @t5) @t5))) % 153.91/154.25 (define @t74 () (@quantifiers_skolemize @t73 0)) % 153.91/154.25 (define @t75 () (_ @t23 (_ @t22 @t21 @t74) @t74)) % 153.91/154.25 (define @t76 () (= @t74 @t74)) % 153.91/154.25 (define @t77 () (= @t76 @t75)) % 153.91/154.25 (define @t78 () (not @t75)) % 153.91/154.25 (define @t79 () (not @t73)) % 153.91/154.25 (define @t80 () (or @t79 @t41)) % 153.91/154.25 (define @t81 () (@var "BOUND_VARIABLE_7461" $$unsorted)) % 153.91/154.25 (define @t82 () (@var "BOUND_VARIABLE_7460" $$unsorted)) % 153.91/154.25 (define @t83 () (@var "BOUND_VARIABLE_7502" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 153.91/154.25 (define @t84 () (not (forall @t7 (_ @t23 (_ @t22 @t83 @t5) @t5)))) % 153.91/154.25 (define @t85 () (@list @t83)) % 153.91/154.25 (define @t86 () (forall @t85 (or @t84 (_ @t23 (_ @t22 @t83 @t82) @t81)))) % 153.91/154.25 (define @t87 () (_ @t23 (_ @t22 @t31 @t82) @t81)) % 153.91/154.25 (define @t88 () (@list @t82 @t81)) % 153.91/154.25 (define @t89 () (forall @t88 (= @t86 @t87))) % 153.91/154.25 (define @t90 () (forall @t88 (= (forall @t10 (or @t68 (_ @t3 @t82 @t81))) (_ @t63 @t82 @t81)))) % 153.91/154.25 (define @t91 () (forall @t85 (or @t84 (_ @t23 (_ @t22 @t83 @t34) @t39)))) % 153.91/154.25 (define @t92 () (= @t71 @t91)) % 153.91/154.25 (define @t93 () (not @t92)) % 153.91/154.25 (define @t94 () (not @t71)) % 153.91/154.25 (define @t95 () (not @t91)) % 153.91/154.25 (define @t96 () (@quantifiers_skolemize @t91 0)) % 153.91/154.25 (define @t97 () (_ @t22 @t96 @t34)) % 153.91/154.25 (define @t98 () (_ @t23 @t97 @t39)) % 153.91/154.25 (define @t99 () (forall @t7 (_ @t23 (_ @t22 @t96 @t5) @t5))) % 153.91/154.25 (define @t100 () (not @t99)) % 153.91/154.25 (define @t101 () (or @t100 @t98)) % 153.91/154.25 (define @t102 () (not @t101)) % 153.91/154.25 (define @t103 () (@list true)) % 153.91/154.25 (define @t104 () (not @t98)) % 153.91/154.25 (define @t105 () (@list @t101)) % 153.91/154.25 (define @t106 () (_ @t23 @t97 @t34)) % 153.91/154.25 (define @t107 () (not @t106)) % 153.91/154.25 (define @t108 () (not @t40)) % 153.91/154.25 (define @t109 () (and @t106 @t40 @t104)) % 153.91/154.25 (assume @p1 @t18) % 153.91/154.25 (assume @p2 true) % 153.91/154.25 ; WARNING: add trust step for TRUST % 153.91/154.25 ; trust TRUST PREPROCESS_HO_ELIM % 153.91/154.25 (step @p3 :rule trust :premises () :args ((= @t28 @t26))) % 153.91/154.25 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 153.91/154.25 (step @p4 :rule trust :premises () :args (@t28)) % 153.91/154.25 (step @p5 :rule eq_resolve :premises (@p4 @p3)) % 153.91/154.25 (step @p6 :rule eq-symm :args (@t40 @t41)) % 153.91/154.25 (step @p7 :rule refl :args (@t26)) % 153.91/154.25 (step @p8 :rule cong :premises (@p7 @p6) :args ((=> @t26 @t42))) % 153.91/154.25 (assume-push @p192 @t26) % 153.91/154.25 (step @p10 :rule instantiate :premises (@p5) :args (@t43)) % 153.91/154.25 (step-pop @p193 :rule scope :premises (@p10)) % 153.91/154.25 (step @p11 :rule process_scope :premises (@p193) :args (@t42)) % 153.91/154.25 (step @p13 :rule eq_resolve :premises (@p11 @p8)) % 153.91/154.25 (step @p14 :rule implies_elim :premises (@p13)) % 153.91/154.25 (step @p15 :rule chain_m_resolution :premises (@p14 @p5) :args (@t44 @t45 @t46)) % 153.91/154.25 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 153.91/154.25 (step @p16 :rule trust :premises () :args (@t49)) % 153.91/154.25 (step @p17 :rule eq-symm :args (@t36 @t35)) % 153.91/154.25 (step @p18 :rule refl :args (@t50)) % 153.91/154.25 (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t51)) % 153.91/154.25 (step @p20 :rule refl :args (@t49)) % 153.91/154.25 (step @p21 :rule cong :premises (@p20 @p19) :args ((=> @t49 @t51))) % 153.91/154.25 (assume-push @p194 @t49) % 153.91/154.25 (step @p23 :rule instantiate :premises (@p16) :args ((@list @t36 @t35))) % 153.91/154.25 (step-pop @p195 :rule scope :premises (@p23)) % 153.91/154.25 (step @p24 :rule process_scope :premises (@p195) :args (@t51)) % 153.91/154.25 (step @p26 :rule eq_resolve :premises (@p24 @p21)) % 153.91/154.25 (step @p27 :rule implies_elim :premises (@p26)) % 153.91/154.25 (step @p28 :rule chain_m_resolution :premises (@p27 @p16) :args (@t53 @t45 (@list @t49))) % 153.91/154.25 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 153.91/154.25 (step @p29 :rule trust :premises () :args (@t56)) % 153.91/154.25 (step @p30 :rule eq-symm :args (@t31 @t21)) % 153.91/154.25 (step @p31 :rule refl :args (@t57)) % 153.91/154.25 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t59)) % 153.91/154.25 (step @p33 :rule refl :args (@t56)) % 153.91/154.25 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t56 @t59))) % 153.91/154.25 (assume-push @p196 @t56) % 153.91/154.25 (step @p36 :rule instantiate :premises (@p29) :args ((@list @t31 @t21))) % 153.91/154.25 (step-pop @p197 :rule scope :premises (@p36)) % 153.91/154.25 (step @p37 :rule process_scope :premises (@p197) :args (@t59)) % 153.91/154.25 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 153.91/154.25 (step @p40 :rule implies_elim :premises (@p39)) % 153.91/154.25 (step @p41 :rule chain_m_resolution :premises (@p40 @p29) :args (@t61 @t45 (@list @t56))) % 153.91/154.25 (step @p42 :rule cong :premises (@p30) :args (@t62)) % 153.91/154.25 ; trust TRUST PREPROCESS_HO_ELIM % 153.91/154.25 (step @p43 :rule trust :premises () :args ((= (not (= @t63 @t27)) @t62))) % 153.91/154.25 (step @p44 :rule eq-symm :args (@t27 @t63)) % 153.91/154.25 (step @p45 :rule cong :premises (@p44) :args (@t64)) % 153.91/154.25 ; trust TRUST PREPROCESS_HO_ELIM % 153.91/154.25 (step @p46 :rule trust :premises () :args ((= (not (= @t16 (lambda @t12 (forall @t10 (or @t68 @t65))))) @t64))) % 153.91/154.25 (step @p47 :rule refl :args (@t65)) % 153.91/154.25 (step @p48 :rule refl :args (@t4)) % 153.91/154.25 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t4 @t65))) % 153.91/154.25 (step @p50 :rule symm :premises (@p49)) % 153.91/154.25 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 153.91/154.25 (step @p52 :rule refl :args (@t68)) % 153.91/154.25 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t69)) % 153.91/154.25 (step @p54 :rule cong :premises (@p53) :args ((forall @t10 @t69))) % 153.91/154.25 (step @p55 :rule bool-impl-elim :args (@t67 @t4)) % 153.91/154.25 (step @p56 :rule cong :premises (@p55) :args ((forall @t10 (=> @t67 @t4)))) % 153.91/154.25 (step @p57 :rule trans :premises (@p56 @p54)) % 153.91/154.25 (step @p58 :rule refl :args (@t4)) % 153.91/154.25 (step @p59 :rule refl :args (@t66)) % 153.91/154.25 (step @p60 :rule refl :args (@t6)) % 153.91/154.25 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t6 @t66))) % 153.91/154.25 (step @p62 :rule symm :premises (@p61)) % 153.91/154.25 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 153.91/154.25 (step @p64 :rule cong :premises (@p63) :args (@t8)) % 153.91/154.25 (step @p65 :rule cong :premises (@p64 @p58) :args (@t9)) % 153.91/154.25 (step @p66 :rule cong :premises (@p65) :args (@t11)) % 153.91/154.25 (step @p67 :rule trans :premises (@p66 @p57)) % 153.91/154.25 (step @p68 :rule cong :premises (@p67) :args (@t13)) % 153.91/154.25 (step @p69 :rule refl :args (@t16)) % 153.91/154.25 (step @p70 :rule cong :premises (@p69 @p68) :args (@t17)) % 153.91/154.25 (step @p71 :rule cong :premises (@p70) :args (@t18)) % 153.91/154.25 (step @p72 :rule trans :premises (@p71 @p46 @p45 @p43 @p42)) % 153.91/154.25 (step @p73 :rule eq_resolve :premises (@p1 @p72)) % 153.91/154.25 (step @p74 :rule cnf_or_pos :args (@t61)) % 153.91/154.25 (step @p75 :rule reordering :premises (@p74) :args ((or @t60 @t57 (not @t61)))) % 153.91/154.25 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p41) :args (@t57 @t70 (@list @t60 @t61))) % 153.91/154.25 (step @p77 :rule skolemize :premises (@p76)) % 153.91/154.25 (step @p78 :rule cnf_or_pos :args (@t53)) % 153.91/154.25 (step @p79 :rule reordering :premises (@p78) :args ((or @t52 @t50 (not @t53)))) % 153.91/154.25 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p28) :args (@t50 @t70 (@list @t52 @t53))) % 153.91/154.25 (step @p81 :rule skolemize :premises (@p80)) % 153.91/154.25 (step @p82 :rule cnf_equiv_neg1 :args (@t72)) % 153.91/154.25 (step @p83 :rule reordering :premises (@p82) :args ((or @t41 @t71 @t72))) % 153.91/154.25 (step @p84 :rule bool-eq-true :args (@t75)) % 153.91/154.25 (step @p85 :rule eq-refl :args (@t74)) % 153.91/154.25 (step @p86 :rule refl :args (@t75)) % 153.91/154.25 (step @p87 :rule cong :premises (@p86 @p85) :args ((= @t75 @t76))) % 153.91/154.25 (step @p88 :rule trans :premises (@p87 @p84)) % 153.91/154.25 (step @p89 :rule eq-symm :args (@t76 @t75)) % 153.91/154.25 (step @p90 :rule trans :premises (@p89 @p88)) % 153.91/154.25 (step @p91 :rule cong :premises (@p7 @p90) :args ((=> @t26 @t77))) % 153.91/154.25 (assume-push @p198 @t26) % 153.91/154.25 (step @p93 :rule instantiate :premises (@p5) :args ((@list @t74 @t74))) % 153.91/154.25 (step-pop @p199 :rule scope :premises (@p93)) % 153.91/154.25 (step @p94 :rule process_scope :premises (@p199) :args (@t77)) % 153.91/154.25 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 153.91/154.25 (step @p97 :rule implies_elim :premises (@p96)) % 153.91/154.25 (step @p98 :rule chain_m_resolution :premises (@p97 @p5) :args (@t75 @t45 @t46)) % 153.91/154.25 (step @p99 :rule refl :args (@t78)) % 153.91/154.25 (step @p100 :rule bool-double-not-elim :args (@t73)) % 153.91/154.25 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or (not @t79) @t78))) % 153.91/154.25 (assume-push @p200 @t79) % 153.91/154.25 (step @p103 :rule skolemize :premises (@p200)) % 153.91/154.25 (step-pop @p201 :rule scope :premises (@p103)) % 153.91/154.25 (step @p104 :rule process_scope :premises (@p201) :args (@t78)) % 153.91/154.25 (step @p106 :rule implies_elim :premises (@p104)) % 153.91/154.25 (step @p107 :rule eq_resolve :premises (@p106 @p101)) % 153.91/154.25 (step @p108 :rule chain_m_resolution :premises (@p107 @p98) :args (@t73 @t45 (@list @t75))) % 153.91/154.25 (step @p109 :rule cnf_or_pos :args (@t80)) % 153.91/154.25 (step @p110 :rule reordering :premises (@p109) :args ((or @t79 @t41 (not @t80)))) % 153.91/154.25 (step @p111 :rule eq-symm :args (@t86 @t87)) % 153.91/154.25 (step @p112 :rule cong :premises (@p111) :args (@t89)) % 153.91/154.25 ; trust TRUST PREPROCESS_HO_ELIM % 153.91/154.25 (step @p113 :rule trust :premises () :args ((= @t90 @t89))) % 153.91/154.25 (step @p114 :rule trans :premises (@p113 @p112)) % 153.91/154.25 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 153.91/154.25 (step @p115 :rule trust :premises () :args (@t90)) % 153.91/154.25 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 153.91/154.25 (step @p117 :rule instantiate :premises (@p116) :args (@t43)) % 153.91/154.25 (step @p118 :rule cnf_equiv_pos1 :args (@t92)) % 153.91/154.25 (step @p119 :rule reordering :premises (@p118) :args ((or @t94 @t91 @t93))) % 153.91/154.25 (assume-push @p202 @t91) % 153.91/154.25 (step @p121 :rule instantiate :premises (@p202) :args ((@list @t21))) % 153.91/154.25 (step-pop @p203 :rule scope :premises (@p121)) % 153.91/154.25 (step @p122 :rule process_scope :premises (@p203) :args (@t80)) % 153.91/154.25 (step @p124 :rule implies_elim :premises (@p122)) % 153.91/154.25 (step @p125 :rule chain_m_resolution :premises (@p124 @p119 @p117 @p110 @p108 @p83 @p81) :args (@t41 (@list false false true false false true) (@list @t91 @t92 @t80 @t73 @t71 @t72))) % 153.91/154.25 (step @p126 :rule cnf_equiv_pos1 :args (@t44)) % 153.91/154.25 (step @p127 :rule reordering :premises (@p126) :args ((or (not @t41) @t40 (not @t44)))) % 153.91/154.25 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p15) :args (@t40 (@list false false) (@list @t41 @t44))) % 153.91/154.25 (step @p129 :rule cnf_equiv_neg2 :args (@t72)) % 153.91/154.25 (step @p130 :rule chain_m_resolution :premises (@p129 @p81 @p125) :args (@t94 @t70 (@list @t72 @t41))) % 153.91/154.25 (step @p131 :rule cnf_equiv_pos2 :args (@t92)) % 153.91/154.25 (step @p132 :rule reordering :premises (@p131) :args ((or @t71 @t95 @t93))) % 153.91/154.25 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p117) :args (@t95 @t70 (@list @t71 @t92))) % 153.91/154.25 (step @p134 :rule refl :args (@t102)) % 153.91/154.25 (step @p135 :rule bool-double-not-elim :args (@t91)) % 153.91/154.25 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or (not @t95) @t102))) % 153.91/154.25 (assume-push @p204 @t95) % 153.91/154.25 (step @p138 :rule skolemize :premises (@p204)) % 153.91/154.25 (step-pop @p205 :rule scope :premises (@p138)) % 153.91/154.25 (step @p139 :rule process_scope :premises (@p205) :args (@t102)) % 153.91/154.25 (step @p141 :rule implies_elim :premises (@p139)) % 153.91/154.25 (step @p142 :rule eq_resolve :premises (@p141 @p136)) % 153.91/154.25 (step @p143 :rule chain_m_resolution :premises (@p142 @p133) :args (@t102 @t103 (@list @t91))) % 153.91/154.25 (step @p144 :rule cnf_or_neg :args (@t101 1)) % 153.91/154.25 (step @p145 :rule chain_m_resolution :premises (@p144 @p143) :args (@t104 @t103 @t105)) % 153.91/154.25 (step @p146 :rule bool-double-not-elim :args (@t99)) % 153.91/154.25 (step @p147 :rule refl :args (@t101)) % 153.91/154.25 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t101 (not @t100)))) % 153.91/154.25 (step @p149 :rule cnf_or_neg :args (@t101 0)) % 153.91/154.25 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 153.91/154.25 (step @p151 :rule reordering :premises (@p150) :args ((or @t99 @t101))) % 153.91/154.25 (step @p152 :rule chain_m_resolution :premises (@p151 @p143) :args (@t99 @t103 @t105)) % 153.91/154.25 (assume-push @p206 @t99) % 153.91/154.25 (step @p154 :rule instantiate :premises (@p206) :args ((@list @t34))) % 153.91/154.25 (step-pop @p207 :rule scope :premises (@p154)) % 153.91/154.25 (step @p155 :rule process_scope :premises (@p207) :args (@t106)) % 153.91/154.25 (step @p157 :rule implies_elim :premises (@p155)) % 153.91/154.25 (step @p158 :rule chain_m_resolution :premises (@p157 @p152) :args (@t106 @t45 (@list @t99))) % 153.91/154.25 (step @p159 :rule refl :args (@t107)) % 153.91/154.25 (step @p160 :rule bool-double-not-elim :args (@t98)) % 153.91/154.25 (step @p161 :rule refl :args (@t108)) % 153.91/154.25 (step @p162 :rule nary_cong :premises (@p161 @p160 @p159) :args ((or @t108 (not @t104) @t107))) % 153.91/154.25 (assume-push @p208 @t106) % 153.91/154.25 (assume-push @p209 @t40) % 153.91/154.25 (assume-push @p210 @t104) % 153.91/154.25 (step @p166 :rule evaluate :args ((= false true))) % 153.91/154.25 (step @p167 :rule true_intro :premises (@p208)) % 153.91/154.25 (step @p168 :rule symm :premises (@p209)) % 153.91/154.25 (step @p169 :rule refl :args (@t97)) % 153.91/154.25 (step @p170 :rule cong :premises (@p169 @p168) :args (@t98)) % 153.91/154.25 (step @p171 :rule false_intro :premises (@p210)) % 153.91/154.25 (step @p172 :rule symm :premises (@p171)) % 153.91/154.25 (step @p173 :rule trans :premises (@p172 @p170 @p167)) % 153.91/154.25 (step @p174 false :rule eq_resolve :premises (@p173 @p166)) % 153.91/154.25 (step-pop @p211 :rule scope :premises (@p174)) % 153.91/154.25 (step-pop @p212 :rule scope :premises (@p211)) % 153.91/154.25 (step-pop @p213 :rule scope :premises (@p212)) % 153.91/154.25 (step @p175 :rule process_scope :premises (@p213) :args (false)) % 153.91/154.25 (assume-push @p214 @t40) % 153.91/154.25 (assume-push @p215 @t104) % 153.91/154.25 (assume-push @p216 @t106) % 153.91/154.25 (step @p182 :rule and_intro :premises (@p216 @p214 @p215)) % 153.91/154.25 (step-pop @p217 :rule scope :premises (@p182)) % 153.91/154.25 (step-pop @p218 :rule scope :premises (@p217)) % 153.91/154.25 (step-pop @p219 :rule scope :premises (@p218)) % 153.91/154.25 (step @p183 :rule process_scope :premises (@p219) :args (@t109)) % 153.91/154.25 (step @p187 :rule implies_elim :premises (@p183)) % 153.91/154.25 (step @p188 :rule resolution :premises (@p187 @p175) :args (true @t109)) % 153.91/154.25 (step @p189 :rule not_and :premises (@p188)) % 153.91/154.25 (step @p190 :rule eq_resolve :premises (@p189 @p162)) % 153.91/154.25 (step @p191 false :rule chain_m_resolution :premises (@p190 @p158 @p145 @p128) :args (false (@list false true false) (@list @t106 @t98 @t40))) % 153.91/154.25 ) % 153.91/154.25 % SZS output end Proof % 153.91/154.25 % cvc5 exiting %------------------------------------------------------------------------------