%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU829^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:53:23 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU829^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n002.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:55:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.39/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (define tptp.subseteq () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1)))))))) % 0.39/0.57 (define tptp.powerset () (let ((_let_1 (@var "X" (-> $$unsorted Bool)))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (lambda (@list _let_1 _let_2) (_ (_ tptp.subseteq _let_2) _let_1))))) % 0.39/0.57 (define tptp.emptyset () (lambda (@list (@var "X" $$unsorted)) false)) % 0.39/0.57 (define @t1 () (@var "X" (-> $$unsorted Bool))) % 0.39/0.57 (define @t2 () (= @t1 tptp.emptyset)) % 0.39/0.57 (define @t3 () (@list @t1)) % 0.39/0.57 (define @t4 () (lambda @t3 @t2)) % 0.39/0.57 (define @t5 () (= (_ tptp.powerset tptp.emptyset) @t4)) % 0.39/0.57 (define @t6 () (not @t5)) % 0.39/0.57 (define @t7 () (@var "U" $$unsorted)) % 0.39/0.57 (define @t8 () (@var "Y" (-> $$unsorted Bool))) % 0.39/0.57 (define @t9 () (_ @t8 @t7)) % 0.39/0.57 (define @t10 () (_ @t1 @t7)) % 0.39/0.57 (define @t11 () (@list @t7)) % 0.39/0.57 (define @t12 () (forall @t11 (=> @t10 @t9))) % 0.39/0.57 (define @t13 () (@list @t1 @t8)) % 0.39/0.57 (define @t14 () (lambda @t13 @t12)) % 0.39/0.57 (define @t15 () (lambda @t13 (_ (_ tptp.subseteq @t8) @t1))) % 0.39/0.57 (define @t16 () (@var "X" $$unsorted)) % 0.39/0.57 (define @t17 () (lambda (@list @t16) false)) % 0.39/0.57 (define @t18 () (_ @t8 @t7)) % 0.39/0.57 (define @t19 () (not @t18)) % 0.39/0.57 (define @t20 () (@list @t8)) % 0.39/0.57 (define @t21 () (lambda @t20 (forall @t11 @t19))) % 0.39/0.57 (define @t22 () (@purify @t21)) % 0.39/0.57 (define @t23 () (@var "BOUND_VARIABLE_7505" $$unsorted)) % 0.39/0.57 (define @t24 () (lambda (@list @t23) false)) % 0.39/0.57 (define @t25 () (@var "BOUND_VARIABLE_7522" (-> $$unsorted Bool))) % 0.39/0.57 (define @t26 () (= @t25 @t24)) % 0.39/0.57 (define @t27 () (@list @t25)) % 0.39/0.57 (define @t28 () (lambda @t27 (ite @t26 true false))) % 0.39/0.57 (define @t29 () (@purify @t28)) % 0.39/0.57 (define @t30 () (= @t21 @t28)) % 0.39/0.57 (define @t31 () (= @t1 @t17)) % 0.39/0.57 (define @t32 () (lambda @t3 @t31)) % 0.39/0.57 (define @t33 () (_ @t24 @t7)) % 0.39/0.57 (define @t34 () (or @t19 @t33)) % 0.39/0.57 (define @t35 () (forall @t11 @t34)) % 0.39/0.57 (define @t36 () (lambda @t20 @t35)) % 0.39/0.57 (define @t37 () (_ @t1 @t7)) % 0.39/0.57 (define @t38 () (forall @t11 (or @t19 @t37))) % 0.39/0.57 (define @t39 () (lambda @t13 @t38)) % 0.39/0.57 (define @t40 () (= (_ @t39 @t17) @t32)) % 0.39/0.57 (define @t41 () (@var "BOUND_VARIABLE_7445" (-> $$unsorted Bool))) % 0.39/0.57 (define @t42 () (_ @t41 @t7)) % 0.39/0.57 (define @t43 () (lambda (@list @t41) (forall @t11 (or @t19 @t42)))) % 0.39/0.57 (define @t44 () (not @t37)) % 0.39/0.57 (define @t45 () (not @t10)) % 0.39/0.57 (define @t46 () (or @t45 @t9)) % 0.39/0.57 (define @t47 () (@purify @t24)) % 0.39/0.57 (define @t48 () (@const 0 (-> $$unsorted Bool))) % 0.39/0.57 (define @t49 () (= @t48 @t47)) % 0.39/0.57 (define @t50 () (forall @t11 (not (_ @t48 @t7)))) % 0.39/0.57 (define @t51 () (= (_ @t21 @t48) @t50)) % 0.39/0.57 (define @t52 () (_ @t22 @t48)) % 0.39/0.57 (define @t53 () (= @t24 @t48)) % 0.39/0.57 (define @t54 () (= @t48 @t24)) % 0.39/0.57 (define @t55 () (_ @t28 @t48)) % 0.39/0.57 (define @t56 () (_ @t29 @t48)) % 0.39/0.57 (define @t57 () (= @t56 @t52)) % 0.39/0.57 (define @t58 () (not @t57)) % 0.39/0.57 (define @t59 () (= @t29 @t22)) % 0.39/0.57 (define @t60 () (or @t59 @t58)) % 0.39/0.57 (define @t61 () (= @t50 @t49)) % 0.39/0.57 (define @t62 () (@list true)) % 0.39/0.57 (define @t63 () (@const 1 $$unsorted)) % 0.39/0.57 (define @t64 () (_ @t48 @t63)) % 0.39/0.57 (define @t65 () (_ @t24 @t63)) % 0.39/0.57 (define @t66 () (_ @t47 @t63)) % 0.39/0.57 (define @t67 () (= @t64 @t66)) % 0.39/0.57 (define @t68 () (not @t67)) % 0.39/0.57 (define @t69 () (or @t49 @t68)) % 0.39/0.57 (define @t70 () (not @t50)) % 0.39/0.57 (define @t71 () (_ @t48 (@quantifiers_skolemize @t50 0))) % 0.39/0.57 (define @t72 () (not (not @t71))) % 0.39/0.57 (define @t73 () (=> @t49 (= @t71 false))) % 0.39/0.57 (assume @p1 @t6) % 0.39/0.57 (assume @p2 true) % 0.39/0.57 (step @p3 (= tptp.subseteq @t14) :rule refl :args (@t14)) % 0.39/0.57 (step @p4 (= tptp.powerset @t15) :rule refl :args (@t15)) % 0.39/0.57 (step @p5 (= tptp.emptyset @t17) :rule refl :args (@t17)) % 0.39/0.57 (step @p6 :rule eq-symm :args (@t22 @t29)) % 0.39/0.57 (step @p7 :rule eq-refl :args (@t28)) % 0.39/0.57 (step @p8 :rule refl :args (@t28)) % 0.39/0.57 (step @p9 :rule symm :premises (@p8)) % 0.39/0.57 (step @p10 :rule aci_norm :args ((= (or @t26 false) @t26))) % 0.39/0.57 (step @p11 :rule ite-then-true :args (@t26 false)) % 0.39/0.57 (step @p12 :rule trans :premises (@p11 @p10)) % 0.39/0.57 (step @p13 :rule symm :premises (@p12)) % 0.39/0.57 (step @p14 :rule eq-symm :args (@t24 @t25)) % 0.39/0.57 (step @p15 :rule trans :premises (@p14 @p13)) % 0.39/0.57 (step @p16 :rule cong :premises (@p15) :args ((lambda @t27 (= @t24 @t25)))) % 0.39/0.57 (step @p17 :rule trans :premises (@p16 @p9)) % 0.39/0.57 (step @p18 :rule eq-symm :args (@t25 @t24)) % 0.39/0.57 (step @p19 :rule trans :premises (@p11 @p10)) % 0.39/0.57 (step @p20 :rule trans :premises (@p19 @p18)) % 0.39/0.57 (step @p21 :rule cong :premises (@p20) :args (@t28)) % 0.39/0.57 (step @p22 :rule trans :premises (@p21 @p17)) % 0.39/0.57 (step @p23 :rule refl :args (@t28)) % 0.39/0.57 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t28 @t28))) % 0.39/0.57 (step @p25 :rule trans :premises (@p24 @p7)) % 0.39/0.57 (step @p26 :rule skolem_intro :args (@t29)) % 0.39/0.57 (step @p27 :rule cong :premises (@p23 @p26) :args ((= @t28 @t29))) % 0.39/0.57 (step @p28 :rule trans :premises (@p27 @p25)) % 0.39/0.57 (step @p29 :rule true_elim :premises (@p28)) % 0.39/0.57 (step @p30 :rule eq-refl :args (@t21)) % 0.39/0.57 (step @p31 :rule skolem_intro :args (@t22)) % 0.39/0.57 (step @p32 :rule refl :args (@t21)) % 0.39/0.57 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t21 @t22))) % 0.39/0.57 (step @p34 :rule trans :premises (@p33 @p30)) % 0.39/0.57 (step @p35 :rule true_elim :premises (@p34)) % 0.39/0.57 (step @p36 :rule cong :premises (@p35 @p29) :args (@t30)) % 0.39/0.57 (step @p37 :rule trans :premises (@p36 @p6)) % 0.39/0.57 (step @p38 :rule cong :premises (@p37) :args ((not @t30))) % 0.39/0.57 (step @p39 :rule cong :premises (@p13) :args ((lambda @t27 @t26))) % 0.39/0.57 (step @p40 :rule alpha_equiv :args ((lambda @t3 (= @t1 @t24)) (@list @t1) (@list @t25))) % 0.39/0.57 (step @p41 :rule trans :premises (@p40 @p39)) % 0.39/0.57 (step @p42 :rule trans :premises (@p41 @p9)) % 0.39/0.57 (step @p43 :rule refl :args (@t24)) % 0.39/0.57 (step @p44 :rule symm :premises (@p43)) % 0.39/0.57 (step @p45 :rule alpha_equiv :args (@t17 (@list @t16) (@list @t23))) % 0.39/0.57 (step @p46 :rule trans :premises (@p45 @p44)) % 0.39/0.57 (step @p47 :rule refl :args (@t1)) % 0.39/0.57 (step @p48 :rule cong :premises (@p47 @p46) :args (@t31)) % 0.39/0.57 (step @p49 :rule cong :premises (@p48) :args (@t32)) % 0.39/0.57 (step @p50 :rule trans :premises (@p49 @p42)) % 0.39/0.57 (step @p51 :rule aci_norm :args ((= (or @t19 false) @t19))) % 0.39/0.57 (step @p52 :rule beta-reduce :args ((= @t33 false))) % 0.39/0.57 (step @p53 :rule refl :args (@t19)) % 0.39/0.57 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t34)) % 0.39/0.57 (step @p55 :rule trans :premises (@p54 @p51)) % 0.39/0.57 (step @p56 :rule cong :premises (@p55) :args (@t35)) % 0.39/0.57 (step @p57 :rule cong :premises (@p56) :args (@t36)) % 0.39/0.57 (step @p58 :rule beta-reduce :args ((= (_ @t39 @t24) @t36))) % 0.39/0.57 (step @p59 :rule trans :premises (@p58 @p57)) % 0.39/0.57 (step @p60 :rule refl :args (@t39)) % 0.39/0.57 (step @p61 :rule ho_cong :premises (@p60 @p46)) % 0.39/0.57 (step @p62 :rule trans :premises (@p61 @p59)) % 0.39/0.57 (step @p63 :rule cong :premises (@p62 @p50) :args (@t40)) % 0.39/0.57 (step @p64 :rule cong :premises (@p63) :args ((not @t40))) % 0.39/0.57 (step @p65 :rule cong :premises (@p47 @p5) :args (@t2)) % 0.39/0.57 (step @p66 :rule cong :premises (@p65) :args (@t4)) % 0.39/0.57 (step @p67 :rule beta-reduce :args ((= (_ @t43 @t1) @t38))) % 0.39/0.57 (step @p68 :rule beta-reduce :args ((= (_ (lambda (@list @t1 @t41) (forall @t11 (or @t44 @t42))) @t8) @t43))) % 0.39/0.57 (step @p69 :rule refl :args (@t8)) % 0.39/0.57 (step @p70 :rule alpha_equiv :args ((lambda @t13 (forall @t11 (or @t44 @t18))) (@list @t8) (@list @t41))) % 0.39/0.57 (step @p71 :rule ho_cong :premises (@p70 @p69)) % 0.39/0.57 (step @p72 :rule trans :premises (@p71 @p68)) % 0.39/0.57 (step @p73 :rule ho_cong :premises (@p72 @p47)) % 0.39/0.57 (step @p74 :rule trans :premises (@p73 @p67)) % 0.39/0.57 (step @p75 :rule refl :args (@t8)) % 0.39/0.57 (step @p76 :rule refl :args (@t18)) % 0.39/0.57 (step @p77 :rule refl :args (@t9)) % 0.39/0.57 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t9 @t18))) % 0.39/0.57 (step @p79 :rule symm :premises (@p78)) % 0.39/0.57 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.39/0.57 (step @p81 :rule refl :args (@t37)) % 0.39/0.57 (step @p82 :rule refl :args (@t10)) % 0.39/0.57 (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t10 @t37))) % 0.39/0.57 (step @p84 :rule symm :premises (@p83)) % 0.39/0.57 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 0.39/0.57 (step @p86 :rule cong :premises (@p85) :args (@t45)) % 0.39/0.57 (step @p87 :rule nary_cong :premises (@p86 @p80) :args (@t46)) % 0.39/0.57 (step @p88 :rule cong :premises (@p87) :args ((forall @t11 @t46))) % 0.39/0.57 (step @p89 :rule bool-impl-elim :args (@t10 @t9)) % 0.39/0.57 (step @p90 :rule cong :premises (@p89) :args (@t12)) % 0.39/0.57 (step @p91 :rule trans :premises (@p90 @p88)) % 0.39/0.57 (step @p92 :rule cong :premises (@p91) :args (@t14)) % 0.39/0.57 (step @p93 :rule trans :premises (@p3 @p92)) % 0.39/0.57 (step @p94 :rule ho_cong :premises (@p93 @p75)) % 0.39/0.57 (step @p95 :rule ho_cong :premises (@p94 @p47)) % 0.39/0.57 (step @p96 :rule trans :premises (@p95 @p74)) % 0.39/0.57 (step @p97 :rule cong :premises (@p96) :args (@t15)) % 0.39/0.57 (step @p98 :rule trans :premises (@p4 @p97)) % 0.39/0.57 (step @p99 :rule ho_cong :premises (@p98 @p5)) % 0.39/0.57 (step @p100 :rule cong :premises (@p99 @p66) :args (@t5)) % 0.39/0.57 (step @p101 :rule cong :premises (@p100) :args (@t6)) % 0.39/0.57 (step @p102 :rule trans :premises (@p101 @p64)) % 0.39/0.57 (step @p103 :rule trans :premises (@p102 @p38)) % 0.39/0.57 (step @p104 :rule eq_resolve :premises (@p1 @p103)) % 0.39/0.57 (step @p105 :rule eq-symm :args (@t49 @t50)) % 0.39/0.57 (step @p106 :rule eq-refl :args (@t50)) % 0.39/0.57 (step @p107 :rule refl :args (@t50)) % 0.39/0.57 (step @p108 :rule beta-reduce :args (@t51)) % 0.39/0.57 (step @p109 :rule cong :premises (@p108 @p107) :args (@t51)) % 0.39/0.57 (step @p110 :rule trans :premises (@p109 @p106)) % 0.39/0.57 (step @p111 :rule refl :args (@t48)) % 0.39/0.57 (step @p112 :rule ho_cong :premises (@p31 @p111)) % 0.39/0.57 (step @p113 :rule cong :premises (@p112 @p107) :args ((= @t52 @t50))) % 0.39/0.57 (step @p114 :rule trans :premises (@p113 @p110)) % 0.39/0.57 (step @p115 :rule true_elim :premises (@p114)) % 0.39/0.57 (step @p116 :rule eq-symm :args (@t47 @t48)) % 0.39/0.57 (step @p117 :rule eq-refl :args (@t24)) % 0.39/0.57 (step @p118 :rule refl :args (@t24)) % 0.39/0.57 (step @p119 :rule cong :premises (@p118 @p44) :args ((= @t24 @t24))) % 0.39/0.57 (step @p120 :rule trans :premises (@p119 @p117)) % 0.39/0.57 (step @p121 :rule skolem_intro :args (@t47)) % 0.39/0.57 (step @p122 :rule cong :premises (@p118 @p121) :args ((= @t24 @t47))) % 0.39/0.57 (step @p123 :rule trans :premises (@p122 @p120)) % 0.39/0.57 (step @p124 :rule true_elim :premises (@p123)) % 0.39/0.57 (step @p125 :rule cong :premises (@p124 @p111) :args (@t53)) % 0.39/0.57 (step @p126 :rule trans :premises (@p125 @p116)) % 0.39/0.57 (step @p127 :rule eq-refl :args (@t53)) % 0.39/0.57 (step @p128 :rule refl :args (@t53)) % 0.39/0.57 (step @p129 :rule eq-symm :args (@t48 @t24)) % 0.39/0.57 (step @p130 :rule aci_norm :args ((= (or @t54 false) @t54))) % 0.39/0.57 (step @p131 :rule ite-then-true :args (@t54 false)) % 0.39/0.57 (step @p132 :rule trans :premises (@p131 @p130)) % 0.39/0.57 (step @p133 :rule trans :premises (@p132 @p129)) % 0.39/0.57 (step @p134 :rule beta-reduce :args ((= @t55 (ite @t54 true false)))) % 0.39/0.57 (step @p135 :rule trans :premises (@p134 @p133)) % 0.39/0.57 (step @p136 :rule cong :premises (@p135 @p128) :args ((= @t55 @t53))) % 0.39/0.57 (step @p137 :rule trans :premises (@p136 @p127)) % 0.39/0.57 (step @p138 :rule ho_cong :premises (@p26 @p111)) % 0.39/0.57 (step @p139 :rule cong :premises (@p138 @p128) :args ((= @t56 @t53))) % 0.39/0.57 (step @p140 :rule trans :premises (@p139 @p137)) % 0.39/0.57 (step @p141 :rule true_elim :premises (@p140)) % 0.39/0.57 (step @p142 :rule trans :premises (@p141 @p126)) % 0.39/0.57 (step @p143 :rule cong :premises (@p142 @p115) :args (@t57)) % 0.39/0.57 (step @p144 :rule trans :premises (@p143 @p105)) % 0.39/0.57 (step @p145 :rule cong :premises (@p144) :args (@t58)) % 0.39/0.57 (step @p146 :rule refl :args (@t59)) % 0.39/0.57 (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t60)) % 0.39/0.57 ; WARNING: add trust step for TRUST % 0.39/0.57 ; trust TRUST THEORY_LEMMA % 0.39/0.57 (step @p148 :rule trust :premises () :args (@t60)) % 0.39/0.57 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 0.39/0.57 (step @p150 :rule chain_m_resolution :premises (@p149 @p104) :args ((not @t61) @t62 (@list @t59))) % 0.39/0.57 (step @p151 :rule cnf_equiv_neg2 :args (@t61)) % 0.39/0.57 (step @p152 :rule bool-double-not-elim :args (@t64)) % 0.39/0.57 (step @p153 :rule bool-eq-false :args (@t64)) % 0.39/0.57 (step @p154 :rule evaluate :args ((not false))) % 0.39/0.57 (step @p155 :rule beta-reduce :args ((= @t65 false))) % 0.39/0.57 (step @p156 :rule cong :premises (@p155) :args ((not @t65))) % 0.39/0.57 (step @p157 :rule trans :premises (@p156 @p154)) % 0.39/0.57 (step @p158 :rule refl :args (@t63)) % 0.39/0.57 (step @p159 :rule ho_cong :premises (@p121 @p158)) % 0.39/0.57 (step @p160 :rule cong :premises (@p159) :args ((not @t66))) % 0.39/0.57 (step @p161 :rule bool-eq-false :args (@t66)) % 0.39/0.57 (step @p162 :rule trans :premises (@p161 @p160 @p157)) % 0.39/0.57 (step @p163 :rule true_elim :premises (@p162)) % 0.39/0.57 (step @p164 :rule refl :args (@t64)) % 0.39/0.57 (step @p165 :rule cong :premises (@p164 @p163) :args (@t67)) % 0.39/0.57 (step @p166 :rule trans :premises (@p165 @p153)) % 0.39/0.57 (step @p167 :rule cong :premises (@p166) :args (@t68)) % 0.39/0.57 (step @p168 :rule trans :premises (@p167 @p152)) % 0.39/0.57 (step @p169 :rule refl :args (@t49)) % 0.39/0.57 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t69)) % 0.39/0.57 ; trust TRUST THEORY_LEMMA % 0.39/0.57 (step @p171 :rule trust :premises () :args (@t69)) % 0.39/0.57 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 0.39/0.57 (assume-push @p202 @t50) % 0.39/0.58 (step @p174 :rule instantiate :premises (@p202) :args ((@list @t63))) % 0.39/0.58 (step-pop @p203 :rule scope :premises (@p174)) % 0.39/0.58 (step @p175 :rule process_scope :premises (@p203) :args ((not @t64))) % 0.39/0.58 (step @p177 :rule implies_elim :premises (@p175)) % 0.39/0.58 (step @p178 :rule chain_m_resolution :premises (@p177 @p172 @p151 @p150) :args (@t70 (@list false true true) (@list @t64 @t49 @t61))) % 0.39/0.58 (step @p179 :rule cnf_equiv_neg1 :args (@t61)) % 0.39/0.58 (step @p180 :rule reordering :premises (@p179) :args ((or @t50 @t49 @t61))) % 0.39/0.58 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p150) :args (@t49 (@list true true) (@list @t50 @t61))) % 0.39/0.58 (step @p182 :rule refl :args (@t71)) % 0.39/0.58 (step @p183 :rule bool-double-not-elim :args (@t50)) % 0.39/0.58 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or (not @t70) @t71))) % 0.39/0.58 (step @p185 :rule bool-double-not-elim :args (@t71)) % 0.39/0.58 (step @p186 :rule refl :args (@t70)) % 0.39/0.58 (step @p187 :rule cong :premises (@p186 @p185) :args ((=> @t70 @t72))) % 0.39/0.58 (assume-push @p204 @t70) % 0.39/0.58 (step @p189 :rule skolemize :premises (@p204)) % 0.39/0.58 (step-pop @p205 :rule scope :premises (@p189)) % 0.39/0.58 (step @p190 :rule process_scope :premises (@p205) :args (@t72)) % 0.39/0.58 (step @p192 :rule eq_resolve :premises (@p190 @p187)) % 0.39/0.58 (step @p193 :rule implies_elim :premises (@p192)) % 0.39/0.58 (step @p194 :rule eq_resolve :premises (@p193 @p184)) % 0.39/0.58 (step @p195 :rule chain_m_resolution :premises (@p194 @p178) :args (@t71 @t62 (@list @t50))) % 0.39/0.58 (step @p196 :rule bool-eq-false :args (@t71)) % 0.39/0.58 (step @p197 :rule cong :premises (@p169 @p196) :args (@t73)) % 0.39/0.58 ; trust TRUST THEORY_LEMMA % 0.39/0.58 (step @p198 :rule trust :premises () :args (@t73)) % 0.39/0.58 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 0.39/0.58 (step @p200 :rule implies_elim :premises (@p199)) % 0.39/0.58 (step @p201 false :rule chain_m_resolution :premises (@p200 @p195 @p181) :args (false (@list false false) (@list @t71 @t49))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------