%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO499^1 : 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 : n022.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 09:12:59 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO499^1 : 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 % 0.16/0.35 % Computer : n022.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 00:17:53 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.f (-> Bool $$unsorted)) % 0.37/0.57 (declare-const tptp.g (-> Bool $$unsorted)) % 0.37/0.57 (declare-const tptp.f1 (-> Bool $$unsorted)) % 0.37/0.57 (declare-const tptp.g1 (-> Bool $$unsorted)) % 0.37/0.57 (declare-const tptp.a Bool) % 0.37/0.57 (declare-const tptp.f2 (-> Bool $$unsorted)) % 0.37/0.57 (declare-const tptp.c Bool) % 0.37/0.57 (declare-const tptp.g2 (-> Bool $$unsorted)) % 0.37/0.57 (declare-const tptp.b Bool) % 0.37/0.57 (define @t1 () (= (_ tptp.f2 tptp.c) (_ tptp.g2 tptp.b))) % 0.37/0.57 (define @t2 () (not @t1)) % 0.37/0.57 (define @t3 () (= (_ tptp.f2 tptp.b) (_ tptp.g2 tptp.c))) % 0.37/0.57 (define @t4 () (= (_ tptp.f1 tptp.c) (_ tptp.g1 tptp.a))) % 0.37/0.57 (define @t5 () (not @t4)) % 0.37/0.57 (define @t6 () (= (_ tptp.f1 tptp.a) (_ tptp.g1 tptp.c))) % 0.37/0.57 (define @t7 () (= (_ tptp.f tptp.b) (_ tptp.g tptp.a))) % 0.37/0.57 (define @t8 () (not @t7)) % 0.37/0.57 (define @t9 () (= (_ tptp.f tptp.a) (_ tptp.g tptp.b))) % 0.37/0.57 (define @t10 () (or @t9 @t8 @t6 @t5 @t3 @t2)) % 0.37/0.57 (define @t11 () (not @t10)) % 0.37/0.57 (define @t12 () (@purify tptp.c)) % 0.37/0.57 (define @t13 () (tptp.f2 @t12)) % 0.37/0.57 (define @t14 () (@purify tptp.b)) % 0.37/0.57 (define @t15 () (tptp.g2 @t14)) % 0.37/0.57 (define @t16 () (_ tptp.g2 @t14)) % 0.37/0.57 (define @t17 () (_ tptp.f2 @t12)) % 0.37/0.57 (define @t18 () (tptp.f2 @t14)) % 0.37/0.57 (define @t19 () (tptp.g2 @t12)) % 0.37/0.57 (define @t20 () (_ tptp.g2 @t12)) % 0.37/0.57 (define @t21 () (_ tptp.f2 @t14)) % 0.37/0.57 (define @t22 () (tptp.f1 @t12)) % 0.37/0.57 (define @t23 () (@purify tptp.a)) % 0.37/0.57 (define @t24 () (tptp.g1 @t23)) % 0.37/0.57 (define @t25 () (_ tptp.g1 @t23)) % 0.37/0.57 (define @t26 () (_ tptp.f1 @t12)) % 0.37/0.57 (define @t27 () (tptp.f1 @t23)) % 0.37/0.57 (define @t28 () (tptp.g1 @t12)) % 0.37/0.57 (define @t29 () (_ tptp.g1 @t12)) % 0.37/0.57 (define @t30 () (_ tptp.f1 @t23)) % 0.37/0.57 (define @t31 () (tptp.f @t14)) % 0.37/0.57 (define @t32 () (tptp.g @t23)) % 0.37/0.57 (define @t33 () (_ tptp.g @t23)) % 0.37/0.57 (define @t34 () (_ tptp.f @t14)) % 0.37/0.57 (define @t35 () (tptp.f @t23)) % 0.37/0.57 (define @t36 () (tptp.g @t14)) % 0.37/0.57 (define @t37 () (_ tptp.g @t14)) % 0.37/0.57 (define @t38 () (_ tptp.f @t23)) % 0.37/0.57 (define @t39 () (= @t32 @t31)) % 0.37/0.57 (define @t40 () (= @t36 @t35)) % 0.37/0.57 (define @t41 () (and @t14 @t23 @t39)) % 0.37/0.57 (define @t42 () (not @t23)) % 0.37/0.57 (define @t43 () (not @t14)) % 0.37/0.57 (define @t44 () (not @t39)) % 0.37/0.57 (define @t45 () (= @t15 @t13)) % 0.37/0.57 (define @t46 () (= @t19 @t18)) % 0.37/0.57 (define @t47 () (and @t14 @t12 @t45)) % 0.37/0.57 (define @t48 () (not @t12)) % 0.37/0.57 (define @t49 () (not @t45)) % 0.37/0.57 (define @t50 () (= @t28 @t27)) % 0.37/0.57 (define @t51 () (= @t24 @t22)) % 0.37/0.57 (define @t52 () (not @t51)) % 0.37/0.57 (define @t53 () (not @t42)) % 0.37/0.57 (define @t54 () (not @t48)) % 0.37/0.57 (define @t55 () (and @t51 @t48 @t42)) % 0.37/0.57 (define @t56 () (not @t43)) % 0.37/0.57 (define @t57 () (and @t45 @t43 @t48)) % 0.37/0.57 (define @t58 () (and @t12 @t23 @t51)) % 0.37/0.57 (define @t59 () (and @t39 @t43 @t42)) % 0.37/0.57 (assume @p1 @t11) % 0.37/0.57 (assume @p2 true) % 0.37/0.57 (step @p3 :rule eq-symm :args (@t13 @t15)) % 0.37/0.57 (step @p4 :rule refl :args (@t15)) % 0.37/0.57 (step @p5 :rule refl :args (@t16)) % 0.37/0.57 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t16 @t15))) % 0.37/0.57 (step @p7 :rule symm :premises (@p6)) % 0.37/0.57 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.37/0.57 (step @p9 :rule eq-refl :args (tptp.b)) % 0.37/0.57 (step @p10 :rule skolem_intro :args (@t14)) % 0.37/0.57 (step @p11 :rule refl :args (tptp.b)) % 0.37/0.57 (step @p12 :rule cong :premises (@p11 @p10) :args ((= tptp.b @t14))) % 0.37/0.57 (step @p13 :rule trans :premises (@p12 @p9)) % 0.37/0.57 (step @p14 :rule true_elim :premises (@p13)) % 0.37/0.57 (step @p15 :rule refl :args (tptp.g2)) % 0.37/0.57 (step @p16 :rule ho_cong :premises (@p15 @p14)) % 0.37/0.57 (step @p17 :rule trans :premises (@p16 @p8)) % 0.37/0.57 (step @p18 :rule refl :args (@t13)) % 0.37/0.57 (step @p19 :rule refl :args (@t17)) % 0.37/0.57 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t17 @t13))) % 0.37/0.57 (step @p21 :rule symm :premises (@p20)) % 0.37/0.57 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.37/0.57 (step @p23 :rule eq-refl :args (tptp.c)) % 0.37/0.57 (step @p24 :rule skolem_intro :args (@t12)) % 0.37/0.57 (step @p25 :rule refl :args (tptp.c)) % 0.37/0.57 (step @p26 :rule cong :premises (@p25 @p24) :args ((= tptp.c @t12))) % 0.37/0.57 (step @p27 :rule trans :premises (@p26 @p23)) % 0.37/0.57 (step @p28 :rule true_elim :premises (@p27)) % 0.37/0.57 (step @p29 :rule refl :args (tptp.f2)) % 0.37/0.57 (step @p30 :rule ho_cong :premises (@p29 @p28)) % 0.37/0.57 (step @p31 :rule trans :premises (@p30 @p22)) % 0.37/0.57 (step @p32 :rule cong :premises (@p31 @p17) :args (@t1)) % 0.37/0.57 (step @p33 :rule trans :premises (@p32 @p3)) % 0.37/0.57 (step @p34 :rule cong :premises (@p33) :args (@t2)) % 0.37/0.57 (step @p35 :rule eq-symm :args (@t18 @t19)) % 0.37/0.57 (step @p36 :rule refl :args (@t19)) % 0.37/0.57 (step @p37 :rule refl :args (@t20)) % 0.37/0.57 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t20 @t19))) % 0.37/0.57 (step @p39 :rule symm :premises (@p38)) % 0.37/0.57 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.37/0.57 (step @p41 :rule ho_cong :premises (@p15 @p28)) % 0.37/0.57 (step @p42 :rule trans :premises (@p41 @p40)) % 0.37/0.57 (step @p43 :rule refl :args (@t18)) % 0.37/0.57 (step @p44 :rule refl :args (@t21)) % 0.37/0.57 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t21 @t18))) % 0.37/0.57 (step @p46 :rule symm :premises (@p45)) % 0.37/0.57 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.37/0.57 (step @p48 :rule ho_cong :premises (@p29 @p14)) % 0.37/0.57 (step @p49 :rule trans :premises (@p48 @p47)) % 0.37/0.57 (step @p50 :rule cong :premises (@p49 @p42) :args (@t3)) % 0.37/0.57 (step @p51 :rule trans :premises (@p50 @p35)) % 0.37/0.57 (step @p52 :rule eq-symm :args (@t22 @t24)) % 0.37/0.57 (step @p53 :rule refl :args (@t24)) % 0.37/0.57 (step @p54 :rule refl :args (@t25)) % 0.37/0.57 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t25 @t24))) % 0.37/0.57 (step @p56 :rule symm :premises (@p55)) % 0.37/0.57 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.37/0.57 (step @p58 :rule eq-refl :args (tptp.a)) % 0.37/0.57 (step @p59 :rule skolem_intro :args (@t23)) % 0.37/0.57 (step @p60 :rule refl :args (tptp.a)) % 0.37/0.57 (step @p61 :rule cong :premises (@p60 @p59) :args ((= tptp.a @t23))) % 0.37/0.57 (step @p62 :rule trans :premises (@p61 @p58)) % 0.37/0.57 (step @p63 :rule true_elim :premises (@p62)) % 0.37/0.57 (step @p64 :rule refl :args (tptp.g1)) % 0.37/0.57 (step @p65 :rule ho_cong :premises (@p64 @p63)) % 0.37/0.57 (step @p66 :rule trans :premises (@p65 @p57)) % 0.37/0.57 (step @p67 :rule refl :args (@t22)) % 0.37/0.57 (step @p68 :rule refl :args (@t26)) % 0.37/0.57 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t26 @t22))) % 0.37/0.57 (step @p70 :rule symm :premises (@p69)) % 0.37/0.57 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.37/0.57 (step @p72 :rule refl :args (tptp.f1)) % 0.37/0.57 (step @p73 :rule ho_cong :premises (@p72 @p28)) % 0.37/0.57 (step @p74 :rule trans :premises (@p73 @p71)) % 0.37/0.57 (step @p75 :rule cong :premises (@p74 @p66) :args (@t4)) % 0.37/0.57 (step @p76 :rule trans :premises (@p75 @p52)) % 0.37/0.57 (step @p77 :rule cong :premises (@p76) :args (@t5)) % 0.37/0.57 (step @p78 :rule eq-symm :args (@t27 @t28)) % 0.37/0.57 (step @p79 :rule refl :args (@t28)) % 0.37/0.57 (step @p80 :rule refl :args (@t29)) % 0.37/0.57 (step @p81 :rule cong :premises (@p80 @p79) :args ((= @t29 @t28))) % 0.37/0.57 (step @p82 :rule symm :premises (@p81)) % 0.37/0.57 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 0.37/0.57 (step @p84 :rule ho_cong :premises (@p64 @p28)) % 0.37/0.57 (step @p85 :rule trans :premises (@p84 @p83)) % 0.37/0.57 (step @p86 :rule refl :args (@t27)) % 0.37/0.57 (step @p87 :rule refl :args (@t30)) % 0.37/0.57 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t30 @t27))) % 0.37/0.57 (step @p89 :rule symm :premises (@p88)) % 0.37/0.57 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 0.37/0.57 (step @p91 :rule ho_cong :premises (@p72 @p63)) % 0.37/0.57 (step @p92 :rule trans :premises (@p91 @p90)) % 0.37/0.57 (step @p93 :rule cong :premises (@p92 @p85) :args (@t6)) % 0.37/0.57 (step @p94 :rule trans :premises (@p93 @p78)) % 0.37/0.57 (step @p95 :rule eq-symm :args (@t31 @t32)) % 0.37/0.57 (step @p96 :rule refl :args (@t32)) % 0.37/0.57 (step @p97 :rule refl :args (@t33)) % 0.37/0.57 (step @p98 :rule cong :premises (@p97 @p96) :args ((= @t33 @t32))) % 0.37/0.57 (step @p99 :rule symm :premises (@p98)) % 0.37/0.57 (step @p100 :rule eq_resolve :premises (@p97 @p99)) % 0.37/0.57 (step @p101 :rule refl :args (tptp.g)) % 0.37/0.57 (step @p102 :rule ho_cong :premises (@p101 @p63)) % 0.37/0.57 (step @p103 :rule trans :premises (@p102 @p100)) % 0.37/0.57 (step @p104 :rule refl :args (@t31)) % 0.37/0.57 (step @p105 :rule refl :args (@t34)) % 0.37/0.57 (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t34 @t31))) % 0.37/0.57 (step @p107 :rule symm :premises (@p106)) % 0.37/0.57 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 0.37/0.57 (step @p109 :rule refl :args (tptp.f)) % 0.37/0.57 (step @p110 :rule ho_cong :premises (@p109 @p14)) % 0.37/0.57 (step @p111 :rule trans :premises (@p110 @p108)) % 0.37/0.57 (step @p112 :rule cong :premises (@p111 @p103) :args (@t7)) % 0.37/0.57 (step @p113 :rule trans :premises (@p112 @p95)) % 0.37/0.57 (step @p114 :rule cong :premises (@p113) :args (@t8)) % 0.37/0.57 (step @p115 :rule eq-symm :args (@t35 @t36)) % 0.37/0.57 (step @p116 :rule refl :args (@t36)) % 0.37/0.57 (step @p117 :rule refl :args (@t37)) % 0.37/0.57 (step @p118 :rule cong :premises (@p117 @p116) :args ((= @t37 @t36))) % 0.37/0.57 (step @p119 :rule symm :premises (@p118)) % 0.37/0.57 (step @p120 :rule eq_resolve :premises (@p117 @p119)) % 0.37/0.57 (step @p121 :rule ho_cong :premises (@p101 @p14)) % 0.37/0.57 (step @p122 :rule trans :premises (@p121 @p120)) % 0.37/0.57 (step @p123 :rule refl :args (@t35)) % 0.37/0.57 (step @p124 :rule refl :args (@t38)) % 0.37/0.57 (step @p125 :rule cong :premises (@p124 @p123) :args ((= @t38 @t35))) % 0.37/0.57 (step @p126 :rule symm :premises (@p125)) % 0.37/0.57 (step @p127 :rule eq_resolve :premises (@p124 @p126)) % 0.37/0.57 (step @p128 :rule ho_cong :premises (@p109 @p63)) % 0.37/0.57 (step @p129 :rule trans :premises (@p128 @p127)) % 0.37/0.57 (step @p130 :rule cong :premises (@p129 @p122) :args (@t9)) % 0.37/0.57 (step @p131 :rule trans :premises (@p130 @p115)) % 0.37/0.57 (step @p132 :rule nary_cong :premises (@p131 @p114 @p94 @p77 @p51 @p34) :args (@t10)) % 0.37/0.57 (step @p133 :rule cong :premises (@p132) :args (@t11)) % 0.37/0.57 (step @p134 :rule eq_resolve :premises (@p1 @p133)) % 0.37/0.57 (step @p135 :rule not_or_elim :premises (@p134) :args (0)) % 0.37/0.57 (step @p136 :rule not_or_elim :premises (@p134) :args (1)) % 0.37/0.57 (step @p137 :rule not_not_elim :premises (@p136)) % 0.37/0.57 (assume-push @p325 @t14) % 0.37/0.57 (assume-push @p326 @t23) % 0.37/0.57 (assume-push @p327 @t39) % 0.37/0.57 (assume-push @p328 @t23) % 0.37/0.57 (assume-push @p329 @t14) % 0.37/0.57 (assume-push @p330 @t39) % 0.37/0.57 (step @p144 :rule true_intro :premises (@p326)) % 0.37/0.57 (step @p145 :rule symm :premises (@p144)) % 0.37/0.57 (step @p146 :rule true_intro :premises (@p325)) % 0.37/0.57 (step @p147 :rule trans :premises (@p146 @p145)) % 0.37/0.57 (step @p148 :rule cong :premises (@p147) :args (@t31)) % 0.37/0.57 (step @p149 :rule cong :premises (@p147) :args (@t36)) % 0.37/0.57 (step @p150 :rule trans :premises (@p149 @p137 @p148)) % 0.37/0.57 (step-pop @p331 :rule scope :premises (@p150)) % 0.37/0.57 (step-pop @p332 :rule scope :premises (@p331)) % 0.37/0.57 (step-pop @p333 :rule scope :premises (@p332)) % 0.37/0.57 (step @p151 :rule process_scope :premises (@p333) :args (@t40)) % 0.37/0.57 (step @p155 :rule and_intro :premises (@p326 @p325 @p137)) % 0.37/0.57 (step @p156 :rule modus_ponens :premises (@p155 @p151)) % 0.37/0.57 (step-pop @p334 :rule scope :premises (@p156)) % 0.37/0.57 (step-pop @p335 :rule scope :premises (@p334)) % 0.37/0.57 (step-pop @p336 :rule scope :premises (@p335)) % 0.37/0.57 (step @p157 :rule process_scope :premises (@p336) :args (@t40)) % 0.37/0.57 (step @p161 :rule implies_elim :premises (@p157)) % 0.37/0.57 (step @p162 :rule cnf_and_neg :args (@t41)) % 0.37/0.57 (step @p163 :rule resolution :premises (@p162 @p161) :args (true @t41)) % 0.37/0.57 (step @p164 :rule reordering :premises (@p163) :args ((or @t44 @t40 @t43 @t42))) % 0.37/0.57 (step @p165 :rule not_or_elim :premises (@p134) :args (4)) % 0.37/0.57 (step @p166 :rule not_or_elim :premises (@p134) :args (5)) % 0.37/0.57 (step @p167 :rule not_not_elim :premises (@p166)) % 0.37/0.57 (assume-push @p337 @t14) % 0.37/0.57 (assume-push @p338 @t12) % 0.37/0.57 (assume-push @p339 @t45) % 0.37/0.57 (assume-push @p340 @t14) % 0.37/0.57 (assume-push @p341 @t12) % 0.37/0.57 (assume-push @p342 @t45) % 0.37/0.57 (step @p174 :rule true_intro :premises (@p337)) % 0.37/0.57 (step @p175 :rule symm :premises (@p174)) % 0.37/0.57 (step @p176 :rule true_intro :premises (@p338)) % 0.37/0.57 (step @p177 :rule trans :premises (@p176 @p175)) % 0.37/0.57 (step @p178 :rule cong :premises (@p177) :args (@t13)) % 0.37/0.57 (step @p179 :rule cong :premises (@p177) :args (@t19)) % 0.37/0.57 (step @p180 :rule trans :premises (@p179 @p167 @p178)) % 0.37/0.57 (step-pop @p343 :rule scope :premises (@p180)) % 0.37/0.57 (step-pop @p344 :rule scope :premises (@p343)) % 0.37/0.57 (step-pop @p345 :rule scope :premises (@p344)) % 0.37/0.57 (step @p181 :rule process_scope :premises (@p345) :args (@t46)) % 0.37/0.57 (step @p185 :rule and_intro :premises (@p337 @p338 @p167)) % 0.37/0.57 (step @p186 :rule modus_ponens :premises (@p185 @p181)) % 0.37/0.57 (step-pop @p346 :rule scope :premises (@p186)) % 0.37/0.57 (step-pop @p347 :rule scope :premises (@p346)) % 0.37/0.57 (step-pop @p348 :rule scope :premises (@p347)) % 0.37/0.57 (step @p187 :rule process_scope :premises (@p348) :args (@t46)) % 0.37/0.57 (step @p191 :rule implies_elim :premises (@p187)) % 0.37/0.57 (step @p192 :rule cnf_and_neg :args (@t47)) % 0.37/0.57 (step @p193 :rule resolution :premises (@p192 @p191) :args (true @t47)) % 0.37/0.57 (step @p194 :rule reordering :premises (@p193) :args ((or @t49 @t46 @t43 @t48))) % 0.37/0.57 (step @p195 :rule not_or_elim :premises (@p134) :args (2)) % 0.37/0.57 (step @p196 :rule not_or_elim :premises (@p134) :args (3)) % 0.37/0.57 (step @p197 :rule not_not_elim :premises (@p196)) % 0.37/0.57 (step @p198 :rule refl :args (@t50)) % 0.37/0.57 (step @p199 :rule bool-double-not-elim :args (@t23)) % 0.37/0.57 (step @p200 :rule bool-double-not-elim :args (@t12)) % 0.37/0.57 (step @p201 :rule refl :args (@t52)) % 0.37/0.57 (step @p202 :rule nary_cong :premises (@p201 @p200 @p199 @p198) :args ((or @t52 @t54 @t53 @t50))) % 0.37/0.57 (assume-push @p349 @t51) % 0.37/0.57 (assume-push @p350 @t48) % 0.37/0.57 (assume-push @p351 @t42) % 0.37/0.57 (assume-push @p352 @t42) % 0.37/0.57 (assume-push @p353 @t48) % 0.37/0.57 (assume-push @p354 @t51) % 0.37/0.57 (step @p209 :rule false_intro :premises (@p351)) % 0.37/0.57 (step @p210 :rule symm :premises (@p209)) % 0.37/0.57 (step @p211 :rule false_intro :premises (@p350)) % 0.37/0.57 (step @p212 :rule trans :premises (@p211 @p210)) % 0.37/0.57 (step @p213 :rule cong :premises (@p212) :args (@t22)) % 0.37/0.57 (step @p214 :rule cong :premises (@p212) :args (@t28)) % 0.37/0.57 (step @p215 :rule trans :premises (@p214 @p197 @p213)) % 0.37/0.57 (step-pop @p355 :rule scope :premises (@p215)) % 0.37/0.57 (step-pop @p356 :rule scope :premises (@p355)) % 0.37/0.57 (step-pop @p357 :rule scope :premises (@p356)) % 0.37/0.57 (step @p216 :rule process_scope :premises (@p357) :args (@t50)) % 0.37/0.57 (step @p220 :rule and_intro :premises (@p351 @p350 @p197)) % 0.37/0.57 (step @p221 :rule modus_ponens :premises (@p220 @p216)) % 0.37/0.57 (step-pop @p358 :rule scope :premises (@p221)) % 0.37/0.57 (step-pop @p359 :rule scope :premises (@p358)) % 0.37/0.57 (step-pop @p360 :rule scope :premises (@p359)) % 0.37/0.57 (step @p222 :rule process_scope :premises (@p360) :args (@t50)) % 0.37/0.57 (step @p226 :rule implies_elim :premises (@p222)) % 0.37/0.57 (step @p227 :rule cnf_and_neg :args (@t55)) % 0.37/0.57 (step @p228 :rule resolution :premises (@p227 @p226) :args (true @t55)) % 0.37/0.57 (step @p229 :rule eq_resolve :premises (@p228 @p202)) % 0.37/0.57 (step @p230 :rule reordering :premises (@p229) :args ((or @t12 @t23 @t52 @t50))) % 0.37/0.57 (step @p231 :rule chain_m_resolution :premises (@p230 @p197 @p195 @p194 @p167 @p165 @p164 @p137 @p135) :args (@t43 (@list false true true false true true false true) (@list @t51 @t50 @t12 @t45 @t46 @t23 @t39 @t40))) % 0.37/0.57 (step @p232 :rule refl :args (@t46)) % 0.37/0.57 (step @p233 :rule bool-double-not-elim :args (@t14)) % 0.37/0.57 (step @p234 :rule refl :args (@t49)) % 0.37/0.57 (step @p235 :rule nary_cong :premises (@p234 @p233 @p200 @p232) :args ((or @t49 @t56 @t54 @t46))) % 0.37/0.57 (assume-push @p361 @t45) % 0.37/0.57 (assume-push @p362 @t43) % 0.37/0.57 (assume-push @p363 @t48) % 0.37/0.57 (assume-push @p364 @t43) % 0.37/0.57 (assume-push @p365 @t48) % 0.37/0.57 (assume-push @p366 @t45) % 0.37/0.57 (step @p242 :rule false_intro :premises (@p362)) % 0.37/0.57 (step @p243 :rule symm :premises (@p242)) % 0.37/0.57 (step @p244 :rule false_intro :premises (@p363)) % 0.37/0.57 (step @p245 :rule trans :premises (@p244 @p243)) % 0.37/0.57 (step @p246 :rule cong :premises (@p245) :args (@t13)) % 0.37/0.57 (step @p247 :rule cong :premises (@p245) :args (@t19)) % 0.37/0.57 (step @p248 :rule trans :premises (@p247 @p167 @p246)) % 0.37/0.57 (step-pop @p367 :rule scope :premises (@p248)) % 0.37/0.57 (step-pop @p368 :rule scope :premises (@p367)) % 0.37/0.57 (step-pop @p369 :rule scope :premises (@p368)) % 0.37/0.57 (step @p249 :rule process_scope :premises (@p369) :args (@t46)) % 0.37/0.57 (step @p253 :rule and_intro :premises (@p362 @p363 @p167)) % 0.37/0.57 (step @p254 :rule modus_ponens :premises (@p253 @p249)) % 0.37/0.57 (step-pop @p370 :rule scope :premises (@p254)) % 0.37/0.57 (step-pop @p371 :rule scope :premises (@p370)) % 0.37/0.57 (step-pop @p372 :rule scope :premises (@p371)) % 0.37/0.57 (step @p255 :rule process_scope :premises (@p372) :args (@t46)) % 0.37/0.57 (step @p259 :rule implies_elim :premises (@p255)) % 0.37/0.57 (step @p260 :rule cnf_and_neg :args (@t57)) % 0.37/0.57 (step @p261 :rule resolution :premises (@p260 @p259) :args (true @t57)) % 0.37/0.57 (step @p262 :rule eq_resolve :premises (@p261 @p235)) % 0.37/0.57 (step @p263 :rule reordering :premises (@p262) :args ((or @t14 @t12 @t49 @t46))) % 0.37/0.57 (step @p264 :rule chain_m_resolution :premises (@p263 @p231 @p167 @p165) :args (@t12 (@list true false true) (@list @t14 @t45 @t46))) % 0.37/0.57 (assume-push @p373 @t12) % 0.37/0.57 (assume-push @p374 @t23) % 0.37/0.57 (assume-push @p375 @t51) % 0.37/0.57 (assume-push @p376 @t23) % 0.37/0.57 (assume-push @p377 @t12) % 0.37/0.57 (assume-push @p378 @t51) % 0.37/0.57 (step @p271 :rule true_intro :premises (@p374)) % 0.37/0.57 (step @p272 :rule symm :premises (@p271)) % 0.37/0.57 (step @p273 :rule true_intro :premises (@p373)) % 0.37/0.57 (step @p274 :rule trans :premises (@p273 @p272)) % 0.37/0.57 (step @p275 :rule cong :premises (@p274) :args (@t22)) % 0.37/0.57 (step @p276 :rule cong :premises (@p274) :args (@t28)) % 0.37/0.57 (step @p277 :rule trans :premises (@p276 @p197 @p275)) % 0.37/0.57 (step-pop @p379 :rule scope :premises (@p277)) % 0.37/0.57 (step-pop @p380 :rule scope :premises (@p379)) % 0.37/0.57 (step-pop @p381 :rule scope :premises (@p380)) % 0.37/0.57 (step @p278 :rule process_scope :premises (@p381) :args (@t50)) % 0.37/0.57 (step @p282 :rule and_intro :premises (@p374 @p373 @p197)) % 0.37/0.57 (step @p283 :rule modus_ponens :premises (@p282 @p278)) % 0.37/0.57 (step-pop @p382 :rule scope :premises (@p283)) % 0.37/0.57 (step-pop @p383 :rule scope :premises (@p382)) % 0.37/0.57 (step-pop @p384 :rule scope :premises (@p383)) % 0.37/0.57 (step @p284 :rule process_scope :premises (@p384) :args (@t50)) % 0.37/0.57 (step @p288 :rule implies_elim :premises (@p284)) % 0.37/0.57 (step @p289 :rule cnf_and_neg :args (@t58)) % 0.37/0.57 (step @p290 :rule resolution :premises (@p289 @p288) :args (true @t58)) % 0.37/0.57 (step @p291 :rule reordering :premises (@p290) :args ((or @t52 @t50 @t48 @t42))) % 0.37/0.57 (step @p292 :rule chain_m_resolution :premises (@p291 @p197 @p195 @p264) :args (@t42 (@list false true false) (@list @t51 @t50 @t12))) % 0.37/0.57 (step @p293 :rule refl :args (@t40)) % 0.37/0.57 (step @p294 :rule refl :args (@t44)) % 0.37/0.57 (step @p295 :rule nary_cong :premises (@p294 @p233 @p199 @p293) :args ((or @t44 @t56 @t53 @t40))) % 0.37/0.57 (assume-push @p385 @t39) % 0.37/0.57 (assume-push @p386 @t43) % 0.37/0.57 (assume-push @p387 @t42) % 0.37/0.57 (assume-push @p388 @t42) % 0.37/0.57 (assume-push @p389 @t43) % 0.37/0.57 (assume-push @p390 @t39) % 0.37/0.57 (step @p302 :rule false_intro :premises (@p387)) % 0.37/0.57 (step @p303 :rule symm :premises (@p302)) % 0.37/0.57 (step @p304 :rule false_intro :premises (@p386)) % 0.37/0.57 (step @p305 :rule trans :premises (@p304 @p303)) % 0.37/0.57 (step @p306 :rule cong :premises (@p305) :args (@t31)) % 0.37/0.57 (step @p307 :rule cong :premises (@p305) :args (@t36)) % 0.37/0.57 (step @p308 :rule trans :premises (@p307 @p137 @p306)) % 0.37/0.57 (step-pop @p391 :rule scope :premises (@p308)) % 0.37/0.57 (step-pop @p392 :rule scope :premises (@p391)) % 0.37/0.57 (step-pop @p393 :rule scope :premises (@p392)) % 0.37/0.57 (step @p309 :rule process_scope :premises (@p393) :args (@t40)) % 0.37/0.57 (step @p313 :rule and_intro :premises (@p387 @p386 @p137)) % 0.37/0.57 (step @p314 :rule modus_ponens :premises (@p313 @p309)) % 0.37/0.57 (step-pop @p394 :rule scope :premises (@p314)) % 0.37/0.57 (step-pop @p395 :rule scope :premises (@p394)) % 0.37/0.57 (step-pop @p396 :rule scope :premises (@p395)) % 0.37/0.57 (step @p315 :rule process_scope :premises (@p396) :args (@t40)) % 0.37/0.57 (step @p319 :rule implies_elim :premises (@p315)) % 0.37/0.57 (step @p320 :rule cnf_and_neg :args (@t59)) % 0.37/0.57 (step @p321 :rule resolution :premises (@p320 @p319) :args (true @t59)) % 0.37/0.57 (step @p322 :rule eq_resolve :premises (@p321 @p295)) % 0.37/0.57 (step @p323 :rule reordering :premises (@p322) :args ((or @t14 @t23 @t44 @t40))) % 0.37/0.57 (step @p324 false :rule chain_m_resolution :premises (@p323 @p292 @p231 @p137 @p135) :args (false (@list true true false true) (@list @t23 @t14 @t39 @t40))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------