%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO513^1 : TPTP v9.2.1. Released v4.1.0. % 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 09:13:02 AM UTC 2026 % Result : Theorem 0.62s 0.86s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYO513^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n002.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 00:19:03 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.62/0.86 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.62/0.86 % SZS status Theorem % 0.62/0.86 % SZS output start Proof % 0.62/0.86 ( % 0.62/0.86 (define @t1 () (@var "P" (-> Bool Bool))) % 0.62/0.86 (define @t2 () (@var "C" (-> (-> Bool Bool) Bool))) % 0.62/0.86 (define @t3 () (_ @t2 @t1)) % 0.62/0.86 (define @t4 () (_ @t1 @t3)) % 0.62/0.86 (define @t5 () (@var "X" Bool)) % 0.62/0.86 (define @t6 () (_ @t1 @t5)) % 0.62/0.86 (define @t7 () (@list @t5)) % 0.62/0.86 (define @t8 () (exists @t7 @t6)) % 0.62/0.86 (define @t9 () (=> @t8 @t4)) % 0.62/0.86 (define @t10 () (@list @t1)) % 0.62/0.86 (define @t11 () (forall @t10 @t9)) % 0.62/0.86 (define @t12 () (@list @t2)) % 0.62/0.86 (define @t13 () (exists @t12 @t11)) % 0.62/0.86 (define @t14 () (not @t13)) % 0.62/0.86 (define @t15 () (_ @t2 @t1)) % 0.62/0.86 (define @t16 () (_ @t1 @t15)) % 0.62/0.86 (define @t17 () (@var "BOUND_VARIABLE_7438" Bool)) % 0.62/0.86 (define @t18 () (not (_ @t1 @t17))) % 0.62/0.86 (define @t19 () (or @t18 @t16)) % 0.62/0.86 (define @t20 () (@list @t1 @t17)) % 0.62/0.86 (define @t21 () (forall @t20 @t19)) % 0.62/0.86 (define @t22 () (forall @t12 (not @t21))) % 0.62/0.86 (define @t23 () (@list @t17)) % 0.62/0.86 (define @t24 () (forall @t23 @t19)) % 0.62/0.86 (define @t25 () (forall @t23 @t18)) % 0.62/0.86 (define @t26 () (or @t25 @t16)) % 0.62/0.86 (define @t27 () (_ @t1 @t5)) % 0.62/0.86 (define @t28 () (forall @t7 (not @t27))) % 0.62/0.86 (define @t29 () (or @t28 @t4)) % 0.62/0.86 (define @t30 () (not @t28)) % 0.62/0.86 (define @t31 () (not @t6)) % 0.62/0.86 (define @t32 () (forall @t7 @t31)) % 0.62/0.86 (define @t33 () (not @t32)) % 0.62/0.86 (define @t34 () (_ @t1 true)) % 0.62/0.86 (define @t35 () (@var "BOUND_VARIABLE_36205" (-> Bool Bool))) % 0.62/0.86 (define @t36 () (lambda (@list @t35) (_ @t35 true))) % 0.62/0.86 (define @t37 () (_ @t36 @t1)) % 0.62/0.86 (define @t38 () (_ @t1 @t37)) % 0.62/0.86 (define @t39 () (or @t18 @t38)) % 0.62/0.86 (define @t40 () (forall @t20 @t39)) % 0.62/0.86 (define @t41 () (not @t40)) % 0.62/0.86 (define @t42 () (forall @t20 (or @t18 (_ @t1 @t34)))) % 0.62/0.86 (define @t43 () (not @t42)) % 0.62/0.86 (define @t44 () (@quantifiers_skolemize @t42 0)) % 0.62/0.86 (define @t45 () (_ @t44 true)) % 0.62/0.86 (define @t46 () (@purify @t45)) % 0.62/0.86 (define @t47 () (_ @t44 @t46)) % 0.62/0.86 (define @t48 () (@quantifiers_skolemize @t42 1)) % 0.62/0.86 (define @t49 () (@purify @t48)) % 0.62/0.86 (define @t50 () (_ @t44 @t49)) % 0.62/0.86 (define @t51 () (not @t50)) % 0.62/0.86 (define @t52 () (or @t51 @t47)) % 0.62/0.86 (define @t53 () (not @t52)) % 0.62/0.86 (define @t54 () (= @t45 @t46)) % 0.62/0.86 (define @t55 () (_ @t44 @t45)) % 0.62/0.86 (define @t56 () (_ @t44 @t48)) % 0.62/0.86 (define @t57 () (not @t56)) % 0.62/0.86 (define @t58 () (or @t57 @t55)) % 0.62/0.86 (define @t59 () (not @t58)) % 0.62/0.86 (define @t60 () (@list true)) % 0.62/0.86 (define @t61 () (@list @t52)) % 0.62/0.86 (define @t62 () (not @t47)) % 0.62/0.86 (define @t63 () (@purify true)) % 0.62/0.86 (define @t64 () (_ @t44 @t63)) % 0.62/0.86 (define @t65 () (and @t63 @t49 @t50)) % 0.62/0.86 (define @t66 () (not @t49)) % 0.62/0.86 (define @t67 () (not @t63)) % 0.62/0.86 (define @t68 () (not @t46)) % 0.62/0.86 (define @t69 () (not @t62)) % 0.62/0.86 (define @t70 () (= false true)) % 0.62/0.86 (define @t71 () (and @t50 @t49 @t63 @t46 @t62)) % 0.62/0.86 (define @t72 () (not @t64)) % 0.62/0.86 (define @t73 () (and @t63 @t46 @t62)) % 0.62/0.86 (define @t74 () (and @t50 @t66 @t68 @t62)) % 0.62/0.86 (assume @p1 @t14) % 0.62/0.86 (assume @p2 true) % 0.62/0.86 (step @p3 :rule bool-double-not-elim :args (@t22)) % 0.62/0.86 (step @p4 :rule exists-elim :args ((= (exists @t12 @t21) (not @t22)))) % 0.62/0.86 (step @p5 :rule quant-merge-prenex :args ((= (forall @t10 @t24) @t21))) % 0.62/0.86 (step @p6 :rule refl :args (@t16)) % 0.62/0.86 (step @p7 :rule alpha_equiv :args (@t25 (@list @t17) (@list @t5))) % 0.62/0.86 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t26)) % 0.62/0.86 (step @p9 :rule quant-miniscope-or :args ((= @t24 @t26))) % 0.62/0.86 (step @p10 :rule trans :premises (@p9 @p8)) % 0.62/0.86 (step @p11 :rule symm :premises (@p10)) % 0.62/0.86 (step @p12 :rule cong :premises (@p11) :args ((forall @t10 (or @t28 @t16)))) % 0.62/0.86 (step @p13 :rule trans :premises (@p12 @p5)) % 0.62/0.86 (step @p14 :rule refl :args ((_ @t1 @t3))) % 0.62/0.86 (step @p15 :rule refl :args (@t15)) % 0.62/0.86 (step @p16 :rule cong :premises (@p15) :args (@t16)) % 0.62/0.86 (step @p17 :rule trans :premises (@p16 @p14)) % 0.62/0.86 (step @p18 :rule refl :args (@t1)) % 0.62/0.86 (step @p19 :rule ho_cong :premises (@p18 @p15)) % 0.62/0.86 (step @p20 :rule cong :premises (@p19 @p17) :args ((= (_ @t1 @t15) @t16))) % 0.62/0.86 (step @p21 :rule symm :premises (@p20)) % 0.62/0.86 (step @p22 :rule refl :args (@t4)) % 0.62/0.86 (step @p23 :rule eq_resolve :premises (@p22 @p21)) % 0.62/0.86 (step @p24 :rule refl :args (@t3)) % 0.62/0.86 (step @p25 :rule cong :premises (@p24 @p15) :args ((= @t3 @t15))) % 0.62/0.86 (step @p26 :rule symm :premises (@p25)) % 0.62/0.86 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.62/0.86 (step @p28 :rule ho_cong :premises (@p18 @p27)) % 0.62/0.86 (step @p29 :rule trans :premises (@p28 @p23)) % 0.62/0.86 (step @p30 :rule refl :args (@t28)) % 0.62/0.86 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t29)) % 0.62/0.86 (step @p32 :rule cong :premises (@p31) :args ((forall @t10 @t29))) % 0.62/0.86 (step @p33 :rule trans :premises (@p32 @p13)) % 0.62/0.86 (step @p34 :rule bool-double-not-elim :args (@t28)) % 0.62/0.86 (step @p35 :rule nary_cong :premises (@p34 @p22) :args ((or (not @t30) @t4))) % 0.62/0.86 (step @p36 :rule bool-impl-elim :args (@t30 @t4)) % 0.62/0.86 (step @p37 :rule trans :premises (@p36 @p35)) % 0.62/0.86 (step @p38 :rule cong :premises (@p37) :args ((forall @t10 (=> @t30 @t4)))) % 0.62/0.86 (step @p39 :rule trans :premises (@p38 @p33)) % 0.62/0.86 (step @p40 :rule refl :args (@t4)) % 0.62/0.86 (step @p41 :rule refl :args (@t27)) % 0.62/0.86 (step @p42 :rule refl :args (@t6)) % 0.62/0.86 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t6 @t27))) % 0.62/0.86 (step @p44 :rule symm :premises (@p43)) % 0.62/0.86 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.62/0.86 (step @p46 :rule cong :premises (@p45) :args (@t31)) % 0.62/0.86 (step @p47 :rule cong :premises (@p46) :args (@t32)) % 0.62/0.86 (step @p48 :rule cong :premises (@p47) :args (@t33)) % 0.62/0.86 (step @p49 :rule exists-elim :args ((= @t8 @t33))) % 0.62/0.86 (step @p50 :rule trans :premises (@p49 @p48)) % 0.62/0.86 (step @p51 :rule cong :premises (@p50 @p40) :args (@t9)) % 0.62/0.86 (step @p52 :rule cong :premises (@p51) :args (@t11)) % 0.62/0.86 (step @p53 :rule trans :premises (@p52 @p39)) % 0.62/0.86 (step @p54 :rule cong :premises (@p53) :args (@t13)) % 0.62/0.86 (step @p55 :rule trans :premises (@p54 @p4)) % 0.62/0.86 (step @p56 :rule cong :premises (@p55) :args (@t14)) % 0.62/0.86 (step @p57 :rule trans :premises (@p56 @p3)) % 0.62/0.86 (step @p58 :rule eq_resolve :premises (@p1 @p57)) % 0.62/0.86 (step @p59 :rule beta-reduce :args ((= @t37 @t34))) % 0.62/0.86 (step @p60 :rule cong :premises (@p59) :args (@t38)) % 0.62/0.86 (step @p61 :rule refl :args (@t18)) % 0.62/0.86 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t39)) % 0.62/0.86 (step @p63 :rule cong :premises (@p62) :args (@t40)) % 0.62/0.86 (step @p64 :rule cong :premises (@p63) :args (@t41)) % 0.62/0.86 (step @p65 :rule refl :args (@t22)) % 0.62/0.86 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t22 @t41))) % 0.62/0.86 (assume-push @p267 @t22) % 0.62/0.86 (step @p68 :rule instantiate :premises (@p58) :args ((@list @t36))) % 0.62/0.86 (step-pop @p268 :rule scope :premises (@p68)) % 0.62/0.86 (step @p69 :rule process_scope :premises (@p268) :args (@t41)) % 0.62/0.86 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 0.62/0.86 (step @p72 :rule implies_elim :premises (@p71)) % 0.62/0.86 (step @p73 :rule chain_m_resolution :premises (@p72 @p58) :args (@t43 (@list false) (@list @t22))) % 0.62/0.86 (step @p74 :rule refl :args (@t53)) % 0.62/0.86 (step @p75 :rule bool-double-not-elim :args (@t42)) % 0.62/0.86 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or (not @t43) @t53))) % 0.62/0.86 (step @p77 :rule eq-refl :args (@t45)) % 0.62/0.86 (step @p78 :rule skolem_intro :args (@t46)) % 0.62/0.86 (step @p79 :rule refl :args (@t45)) % 0.62/0.86 (step @p80 :rule cong :premises (@p79 @p78) :args (@t54)) % 0.62/0.86 (step @p81 :rule trans :premises (@p80 @p77)) % 0.62/0.86 (step @p82 :rule true_elim :premises (@p81)) % 0.62/0.86 (step @p83 :rule cong :premises (@p82) :args (@t55)) % 0.62/0.86 (step @p84 :rule eq-refl :args (@t48)) % 0.62/0.86 (step @p85 :rule skolem_intro :args (@t49)) % 0.62/0.86 (step @p86 :rule refl :args (@t48)) % 0.62/0.86 (step @p87 :rule cong :premises (@p86 @p85) :args ((= @t48 @t49))) % 0.62/0.86 (step @p88 :rule trans :premises (@p87 @p84)) % 0.62/0.86 (step @p89 :rule true_elim :premises (@p88)) % 0.62/0.86 (step @p90 :rule cong :premises (@p89) :args (@t56)) % 0.62/0.86 (step @p91 :rule cong :premises (@p90) :args (@t57)) % 0.62/0.86 (step @p92 :rule nary_cong :premises (@p91 @p83) :args (@t58)) % 0.62/0.86 (step @p93 :rule cong :premises (@p92) :args (@t59)) % 0.62/0.86 (step @p94 :rule refl :args (@t43)) % 0.62/0.86 (step @p95 :rule cong :premises (@p94 @p93) :args ((=> @t43 @t59))) % 0.62/0.86 (assume-push @p269 @t43) % 0.62/0.86 (step @p97 :rule skolemize :premises (@p73)) % 0.62/0.86 (step-pop @p270 :rule scope :premises (@p97)) % 0.62/0.86 (step @p98 :rule process_scope :premises (@p270) :args (@t59)) % 0.62/0.86 (step @p100 :rule eq_resolve :premises (@p98 @p95)) % 0.62/0.86 (step @p101 :rule implies_elim :premises (@p100)) % 0.62/0.86 (step @p102 :rule eq_resolve :premises (@p101 @p76)) % 0.62/0.86 (step @p103 :rule chain_m_resolution :premises (@p102 @p73) :args (@t53 @t60 (@list @t42))) % 0.62/0.86 (step @p104 :rule bool-double-not-elim :args (@t50)) % 0.62/0.86 (step @p105 :rule refl :args (@t52)) % 0.62/0.86 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t52 (not @t51)))) % 0.62/0.86 (step @p107 :rule cnf_or_neg :args (@t52 0)) % 0.62/0.86 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.62/0.86 (step @p109 :rule reordering :premises (@p108) :args ((or @t50 @t52))) % 0.62/0.86 (step @p110 :rule chain_m_resolution :premises (@p109 @p103) :args (@t50 @t60 @t61)) % 0.62/0.86 (step @p111 :rule cnf_or_neg :args (@t52 1)) % 0.62/0.86 (step @p112 :rule chain_m_resolution :premises (@p111 @p103) :args (@t62 @t60 @t61)) % 0.62/0.86 (step @p113 :rule bool-eq-true :args (@t63)) % 0.62/0.86 (step @p114 :rule skolem_intro :args (@t63)) % 0.62/0.86 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.62/0.86 (assume-push @p271 @t63) % 0.62/0.86 (assume-push @p272 @t49) % 0.62/0.86 (assume-push @p273 @t50) % 0.62/0.86 (assume-push @p274 @t50) % 0.62/0.86 (assume-push @p275 @t49) % 0.62/0.86 (assume-push @p276 @t63) % 0.62/0.86 (step @p122 :rule true_intro :premises (@p110)) % 0.62/0.86 (step @p123 :rule true_intro :premises (@p272)) % 0.62/0.86 (step @p124 :rule symm :premises (@p123)) % 0.62/0.86 (step @p125 :rule trans :premises (@p114 @p124)) % 0.62/0.86 (step @p126 :rule cong :premises (@p125) :args (@t64)) % 0.62/0.86 (step @p127 :rule trans :premises (@p126 @p122)) % 0.62/0.86 (step @p128 :rule true_elim :premises (@p127)) % 0.62/0.86 (step-pop @p277 :rule scope :premises (@p128)) % 0.62/0.86 (step-pop @p278 :rule scope :premises (@p277)) % 0.62/0.86 (step-pop @p279 :rule scope :premises (@p278)) % 0.62/0.86 (step @p129 :rule process_scope :premises (@p279) :args (@t64)) % 0.62/0.86 (step @p133 :rule and_intro :premises (@p110 @p272 @p115)) % 0.62/0.86 (step @p134 :rule modus_ponens :premises (@p133 @p129)) % 0.62/0.86 (step-pop @p280 :rule scope :premises (@p134)) % 0.62/0.86 (step-pop @p281 :rule scope :premises (@p280)) % 0.62/0.86 (step-pop @p282 :rule scope :premises (@p281)) % 0.62/0.86 (step @p135 :rule process_scope :premises (@p282) :args (@t64)) % 0.62/0.86 (step @p139 :rule implies_elim :premises (@p135)) % 0.62/0.86 (step @p140 :rule cnf_and_neg :args (@t65)) % 0.62/0.86 (step @p141 :rule resolution :premises (@p140 @p139) :args (true @t65)) % 0.62/0.86 (step @p142 :rule reordering :premises (@p141) :args ((or @t67 @t51 @t64 @t66))) % 0.62/0.86 (step @p143 :rule eq-symm :args (@t64 @t46)) % 0.62/0.86 (step @p144 :rule refl :args (@t46)) % 0.62/0.86 (step @p145 :rule symm :premises (@p114)) % 0.62/0.86 (step @p146 :rule cong :premises (@p145) :args (@t45)) % 0.62/0.86 (step @p147 :rule cong :premises (@p146 @p144) :args (@t54)) % 0.62/0.86 (step @p148 :rule trans :premises (@p147 @p143)) % 0.62/0.86 (step @p149 :rule eq-symm :args (@t46 @t45)) % 0.62/0.86 (step @p150 :rule trans :premises (@p149 @p148)) % 0.62/0.86 (step @p151 :rule eq_resolve :premises (@p78 @p150)) % 0.62/0.86 (step @p152 :rule equiv_elim2 :premises (@p151)) % 0.62/0.86 (step @p153 :rule bool-double-not-elim :args (@t47)) % 0.62/0.86 (step @p154 :rule refl :args (@t51)) % 0.62/0.86 (step @p155 :rule refl :args (@t66)) % 0.62/0.86 (step @p156 :rule refl :args (@t68)) % 0.62/0.86 (step @p157 :rule refl :args (@t67)) % 0.62/0.86 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155 @p154 @p153) :args ((or @t67 @t68 @t66 @t51 @t69))) % 0.62/0.86 (assume-push @p283 @t50) % 0.62/0.86 (assume-push @p284 @t49) % 0.62/0.86 (assume-push @p285 @t63) % 0.62/0.86 (assume-push @p286 @t46) % 0.62/0.86 (assume-push @p287 @t62) % 0.62/0.86 (step @p164 :rule evaluate :args (@t70)) % 0.62/0.86 (step @p122 :rule true_intro :premises (@p110)) % 0.62/0.86 (step @p165 :rule true_intro :premises (@p284)) % 0.62/0.86 (step @p166 :rule symm :premises (@p165)) % 0.62/0.86 (step @p167 :rule trans :premises (@p114 @p166)) % 0.62/0.86 (step @p168 :rule cong :premises (@p167) :args (@t64)) % 0.62/0.86 (step @p169 :rule true_intro :premises (@p286)) % 0.62/0.86 (step @p170 :rule trans :premises (@p169 @p145)) % 0.62/0.86 (step @p171 :rule cong :premises (@p170) :args (@t47)) % 0.62/0.86 (step @p172 :rule false_intro :premises (@p112)) % 0.62/0.86 (step @p173 :rule symm :premises (@p172)) % 0.62/0.86 (step @p174 :rule trans :premises (@p173 @p171 @p168 @p122)) % 0.62/0.86 (step @p175 false :rule eq_resolve :premises (@p174 @p164)) % 0.62/0.86 (step-pop @p288 :rule scope :premises (@p175)) % 0.62/0.86 (step-pop @p289 :rule scope :premises (@p288)) % 0.62/0.86 (step-pop @p290 :rule scope :premises (@p289)) % 0.62/0.86 (step-pop @p291 :rule scope :premises (@p290)) % 0.62/0.86 (step-pop @p292 :rule scope :premises (@p291)) % 0.62/0.86 (step @p176 :rule process_scope :premises (@p292) :args (false)) % 0.62/0.86 (assume-push @p293 @t63) % 0.62/0.86 (assume-push @p294 @t46) % 0.62/0.86 (assume-push @p295 @t49) % 0.62/0.86 (assume-push @p296 @t50) % 0.62/0.86 (assume-push @p297 @t62) % 0.62/0.86 (step @p187 :rule and_intro :premises (@p110 @p295 @p115 @p294 @p112)) % 0.62/0.86 (step-pop @p298 :rule scope :premises (@p187)) % 0.62/0.86 (step-pop @p299 :rule scope :premises (@p298)) % 0.62/0.86 (step-pop @p300 :rule scope :premises (@p299)) % 0.62/0.86 (step-pop @p301 :rule scope :premises (@p300)) % 0.62/0.86 (step-pop @p302 :rule scope :premises (@p301)) % 0.62/0.86 (step @p188 :rule process_scope :premises (@p302) :args (@t71)) % 0.62/0.86 (step @p194 :rule implies_elim :premises (@p188)) % 0.62/0.86 (step @p195 :rule resolution :premises (@p194 @p176) :args (true @t71)) % 0.62/0.86 (step @p196 :rule not_and :premises (@p195)) % 0.62/0.86 (step @p197 :rule eq_resolve :premises (@p196 @p158)) % 0.62/0.86 (step @p198 :rule reordering :premises (@p197) :args ((or @t67 @t47 @t51 @t68 @t66))) % 0.62/0.86 (step @p199 :rule chain_m_resolution :premises (@p198 @p112 @p110 @p115 @p152 @p142 @p110 @p115) :args (@t66 (@list true false false false false false false) (@list @t47 @t50 @t63 @t46 @t64 @t50 @t63))) % 0.62/0.86 (step @p200 :rule equiv_elim1 :premises (@p151)) % 0.62/0.86 (step @p201 :rule reordering :premises (@p200) :args ((or @t64 @t68))) % 0.62/0.86 (step @p202 :rule refl :args (@t72)) % 0.62/0.86 (step @p203 :rule nary_cong :premises (@p157 @p156 @p153 @p202) :args ((or @t67 @t68 @t69 @t72))) % 0.62/0.86 (assume-push @p303 @t63) % 0.62/0.86 (assume-push @p304 @t46) % 0.62/0.86 (assume-push @p305 @t62) % 0.62/0.86 (assume-push @p306 @t62) % 0.62/0.86 (assume-push @p307 @t46) % 0.62/0.86 (assume-push @p308 @t63) % 0.62/0.86 (step @p172 :rule false_intro :premises (@p112)) % 0.62/0.86 (step @p210 :rule true_intro :premises (@p304)) % 0.62/0.86 (step @p211 :rule symm :premises (@p210)) % 0.62/0.86 (step @p212 :rule trans :premises (@p114 @p211)) % 0.62/0.87 (step @p213 :rule cong :premises (@p212) :args (@t64)) % 0.62/0.87 (step @p214 :rule trans :premises (@p213 @p172)) % 0.62/0.87 (step @p215 :rule false_elim :premises (@p214)) % 0.62/0.87 (step-pop @p309 :rule scope :premises (@p215)) % 0.62/0.87 (step-pop @p310 :rule scope :premises (@p309)) % 0.62/0.87 (step-pop @p311 :rule scope :premises (@p310)) % 0.62/0.87 (step @p216 :rule process_scope :premises (@p311) :args (@t72)) % 0.62/0.87 (step @p220 :rule and_intro :premises (@p112 @p304 @p115)) % 0.62/0.87 (step @p221 :rule modus_ponens :premises (@p220 @p216)) % 0.62/0.87 (step-pop @p312 :rule scope :premises (@p221)) % 0.62/0.87 (step-pop @p313 :rule scope :premises (@p312)) % 0.62/0.87 (step-pop @p314 :rule scope :premises (@p313)) % 0.62/0.87 (step @p222 :rule process_scope :premises (@p314) :args (@t72)) % 0.62/0.87 (step @p226 :rule implies_elim :premises (@p222)) % 0.62/0.87 (step @p227 :rule cnf_and_neg :args (@t73)) % 0.62/0.87 (step @p228 :rule resolution :premises (@p227 @p226) :args (true @t73)) % 0.62/0.87 (step @p229 :rule eq_resolve :premises (@p228 @p203)) % 0.62/0.87 (step @p230 :rule reordering :premises (@p229) :args ((or @t67 @t47 @t68 @t72))) % 0.62/0.87 (step @p231 :rule chain_m_resolution :premises (@p230 @p112 @p115 @p201) :args (@t68 (@list true false false) (@list @t47 @t63 @t64))) % 0.62/0.87 (step @p232 :rule bool-double-not-elim :args (@t49)) % 0.62/0.87 (step @p233 :rule bool-double-not-elim :args (@t46)) % 0.62/0.87 (step @p234 :rule nary_cong :premises (@p154 @p153 @p233 @p232) :args ((or @t51 @t69 (not @t68) (not @t66)))) % 0.62/0.87 (assume-push @p315 @t50) % 0.62/0.87 (assume-push @p316 @t66) % 0.62/0.87 (assume-push @p317 @t68) % 0.62/0.87 (assume-push @p318 @t62) % 0.62/0.87 (step @p164 :rule evaluate :args (@t70)) % 0.62/0.87 (step @p122 :rule true_intro :premises (@p110)) % 0.62/0.87 (step @p239 :rule false_intro :premises (@p316)) % 0.62/0.87 (step @p240 :rule symm :premises (@p239)) % 0.62/0.87 (step @p241 :rule false_intro :premises (@p317)) % 0.62/0.87 (step @p242 :rule trans :premises (@p241 @p240)) % 0.62/0.87 (step @p243 :rule cong :premises (@p242) :args (@t47)) % 0.62/0.87 (step @p172 :rule false_intro :premises (@p112)) % 0.62/0.87 (step @p173 :rule symm :premises (@p172)) % 0.62/0.87 (step @p244 :rule trans :premises (@p173 @p243 @p122)) % 0.62/0.87 (step @p245 false :rule eq_resolve :premises (@p244 @p164)) % 0.62/0.87 (step-pop @p319 :rule scope :premises (@p245)) % 0.62/0.87 (step-pop @p320 :rule scope :premises (@p319)) % 0.62/0.87 (step-pop @p321 :rule scope :premises (@p320)) % 0.62/0.87 (step-pop @p322 :rule scope :premises (@p321)) % 0.62/0.87 (step @p246 :rule process_scope :premises (@p322) :args (false)) % 0.62/0.87 (assume-push @p323 @t50) % 0.62/0.87 (assume-push @p324 @t62) % 0.62/0.87 (assume-push @p325 @t68) % 0.62/0.87 (assume-push @p326 @t66) % 0.62/0.87 (step @p255 :rule and_intro :premises (@p110 @p326 @p325 @p112)) % 0.62/0.87 (step-pop @p327 :rule scope :premises (@p255)) % 0.62/0.87 (step-pop @p328 :rule scope :premises (@p327)) % 0.62/0.87 (step-pop @p329 :rule scope :premises (@p328)) % 0.62/0.87 (step-pop @p330 :rule scope :premises (@p329)) % 0.62/0.87 (step @p256 :rule process_scope :premises (@p330) :args (@t74)) % 0.62/0.87 (step @p261 :rule implies_elim :premises (@p256)) % 0.62/0.87 (step @p262 :rule resolution :premises (@p261 @p246) :args (true @t74)) % 0.62/0.87 (step @p263 :rule not_and :premises (@p262)) % 0.62/0.87 (step @p264 :rule eq_resolve :premises (@p263 @p234)) % 0.62/0.87 (step @p265 :rule reordering :premises (@p264) :args ((or @t46 @t47 @t49 @t51))) % 0.62/0.87 (step @p266 false :rule chain_m_resolution :premises (@p265 @p231 @p199 @p112 @p110) :args (false (@list true true true false) (@list @t46 @t49 @t47 @t50))) % 0.62/0.87 ) % 0.62/0.87 % SZS output end Proof % 0.62/0.87 % cvc5 exiting %------------------------------------------------------------------------------