%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO500^1 : 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 : n014.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 09:13:00 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 : SYO500^1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n014.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 : Wed Jun 3 00:18:58 EDT 2026 % 0.17/0.35 % 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-const tptp.f (-> Bool Bool)) % 0.37/0.57 (declare-const tptp.x Bool) % 0.37/0.57 (define @t1 () (_ tptp.f tptp.x)) % 0.37/0.57 (define @t2 () (_ tptp.f @t1)) % 0.37/0.57 (define @t3 () (_ tptp.f @t2)) % 0.37/0.57 (define @t4 () (not (= @t3 @t1))) % 0.37/0.57 (define @t5 () (@purify tptp.x)) % 0.37/0.57 (define @t6 () (tptp.f @t5)) % 0.37/0.57 (define @t7 () (@purify @t2)) % 0.37/0.57 (define @t8 () (tptp.f @t7)) % 0.37/0.57 (define @t9 () (_ tptp.f @t7)) % 0.37/0.57 (define @t10 () (= @t2 @t7)) % 0.37/0.57 (define @t11 () (_ tptp.f @t5)) % 0.37/0.57 (define @t12 () (= @t1 @t3)) % 0.37/0.57 (define @t13 () (@purify @t1)) % 0.37/0.57 (define @t14 () (= @t1 @t13)) % 0.37/0.57 (define @t15 () (tptp.f @t13)) % 0.37/0.57 (define @t16 () (_ tptp.f @t13)) % 0.37/0.57 (define @t17 () (not @t7)) % 0.37/0.57 (define @t18 () (not @t5)) % 0.37/0.57 (define @t19 () (not @t8)) % 0.37/0.57 (define @t20 () (not @t6)) % 0.37/0.57 (define @t21 () (not @t20)) % 0.37/0.57 (define @t22 () (= false true)) % 0.37/0.57 (define @t23 () (and @t8 @t7 @t5 @t20)) % 0.37/0.57 (define @t24 () (not @t15)) % 0.37/0.57 (define @t25 () (not @t13)) % 0.37/0.57 (define @t26 () (not @t25)) % 0.37/0.57 (define @t27 () (not @t18)) % 0.37/0.57 (define @t28 () (and @t15 @t25 @t18 @t20)) % 0.37/0.57 (define @t29 () (not @t17)) % 0.37/0.57 (define @t30 () (and @t8 @t17 @t25)) % 0.37/0.57 (define @t31 () (@list true)) % 0.37/0.57 (define @t32 () (not @t19)) % 0.37/0.57 (define @t33 () (and @t7 @t13 @t19)) % 0.37/0.57 (define @t34 () (= true false)) % 0.37/0.57 (define @t35 () (and @t24 @t13 @t5 @t6)) % 0.37/0.57 (define @t36 () (and @t19 @t17 @t18 @t6)) % 0.37/0.57 (assume @p1 @t4) % 0.37/0.57 (assume @p2 true) % 0.37/0.57 (step @p3 :rule eq-symm :args (@t6 @t8)) % 0.37/0.57 (step @p4 :rule refl :args (@t8)) % 0.37/0.57 (step @p5 :rule refl :args (@t9)) % 0.37/0.57 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t9 @t8))) % 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 (@t2)) % 0.37/0.57 (step @p10 :rule skolem_intro :args (@t7)) % 0.37/0.57 (step @p11 :rule refl :args (@t2)) % 0.37/0.57 (step @p12 :rule cong :premises (@p11 @p10) :args (@t10)) % 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.f)) % 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 (@t6)) % 0.37/0.57 (step @p19 :rule refl :args (@t11)) % 0.37/0.57 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t11 @t6))) % 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.x)) % 0.37/0.57 (step @p24 :rule skolem_intro :args (@t5)) % 0.37/0.57 (step @p25 :rule refl :args (tptp.x)) % 0.37/0.57 (step @p26 :rule cong :premises (@p25 @p24) :args ((= tptp.x @t5))) % 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 ho_cong :premises (@p15 @p28)) % 0.37/0.57 (step @p30 :rule trans :premises (@p29 @p22)) % 0.37/0.57 (step @p31 :rule cong :premises (@p30 @p17) :args (@t12)) % 0.37/0.57 (step @p32 :rule trans :premises (@p31 @p3)) % 0.37/0.57 (step @p33 :rule cong :premises (@p32) :args ((not @t12))) % 0.37/0.57 (step @p34 :rule eq-symm :args (@t3 @t1)) % 0.37/0.57 (step @p35 :rule cong :premises (@p34) :args (@t4)) % 0.37/0.57 (step @p36 :rule trans :premises (@p35 @p33)) % 0.37/0.57 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 0.37/0.57 (step @p38 :rule not_equiv_elim2 :premises (@p37)) % 0.37/0.57 (step @p39 :rule refl :args (@t13)) % 0.37/0.57 (step @p40 :rule cong :premises (@p30 @p39) :args (@t14)) % 0.37/0.57 (step @p41 :rule eq-symm :args (@t13 @t1)) % 0.37/0.57 (step @p42 :rule trans :premises (@p41 @p40)) % 0.37/0.57 (step @p43 :rule skolem_intro :args (@t13)) % 0.37/0.57 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.37/0.57 (step @p45 :rule equiv_elim2 :premises (@p44)) % 0.37/0.57 (step @p46 :rule eq-symm :args (@t15 @t7)) % 0.37/0.57 (step @p47 :rule refl :args (@t7)) % 0.37/0.57 (step @p48 :rule refl :args (@t15)) % 0.37/0.57 (step @p49 :rule refl :args (@t16)) % 0.37/0.57 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t16 @t15))) % 0.37/0.57 (step @p51 :rule symm :premises (@p50)) % 0.37/0.57 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.37/0.57 (step @p53 :rule eq-refl :args (@t1)) % 0.37/0.57 (step @p54 :rule refl :args (@t1)) % 0.37/0.57 (step @p55 :rule cong :premises (@p54 @p43) :args (@t14)) % 0.37/0.57 (step @p56 :rule trans :premises (@p55 @p53)) % 0.37/0.57 (step @p57 :rule true_elim :premises (@p56)) % 0.37/0.57 (step @p58 :rule ho_cong :premises (@p15 @p57)) % 0.37/0.57 (step @p59 :rule trans :premises (@p58 @p52)) % 0.37/0.57 (step @p60 :rule cong :premises (@p59 @p47) :args (@t10)) % 0.37/0.57 (step @p61 :rule trans :premises (@p60 @p46)) % 0.37/0.57 (step @p62 :rule eq-symm :args (@t7 @t2)) % 0.37/0.57 (step @p63 :rule trans :premises (@p62 @p61)) % 0.37/0.57 (step @p64 :rule eq_resolve :premises (@p10 @p63)) % 0.37/0.57 (step @p65 :rule equiv_elim1 :premises (@p64)) % 0.37/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t15 @t17))) % 0.37/0.57 (step @p67 :rule bool-double-not-elim :args (@t6)) % 0.37/0.57 (step @p68 :rule refl :args (@t18)) % 0.37/0.57 (step @p69 :rule refl :args (@t19)) % 0.37/0.57 (step @p70 :rule refl :args (@t17)) % 0.37/0.57 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68 @p67) :args ((or @t17 @t19 @t18 @t21))) % 0.37/0.57 (assume-push @p294 @t8) % 0.37/0.57 (assume-push @p295 @t7) % 0.37/0.57 (assume-push @p296 @t5) % 0.37/0.57 (assume-push @p297 @t20) % 0.37/0.57 (step @p76 :rule evaluate :args (@t22)) % 0.37/0.57 (step @p77 :rule true_intro :premises (@p294)) % 0.37/0.57 (step @p78 :rule true_intro :premises (@p295)) % 0.37/0.57 (step @p79 :rule symm :premises (@p78)) % 0.37/0.57 (step @p80 :rule true_intro :premises (@p296)) % 0.37/0.57 (step @p81 :rule trans :premises (@p80 @p79)) % 0.37/0.57 (step @p82 :rule cong :premises (@p81) :args (@t6)) % 0.37/0.57 (step @p83 :rule false_intro :premises (@p297)) % 0.37/0.57 (step @p84 :rule symm :premises (@p83)) % 0.37/0.57 (step @p85 :rule trans :premises (@p84 @p82 @p77)) % 0.37/0.57 (step @p86 false :rule eq_resolve :premises (@p85 @p76)) % 0.37/0.57 (step-pop @p298 :rule scope :premises (@p86)) % 0.37/0.57 (step-pop @p299 :rule scope :premises (@p298)) % 0.37/0.57 (step-pop @p300 :rule scope :premises (@p299)) % 0.37/0.57 (step-pop @p301 :rule scope :premises (@p300)) % 0.37/0.57 (step @p87 :rule process_scope :premises (@p301) :args (false)) % 0.37/0.57 (assume-push @p302 @t7) % 0.37/0.57 (assume-push @p303 @t8) % 0.37/0.57 (assume-push @p304 @t5) % 0.37/0.57 (assume-push @p305 @t20) % 0.37/0.57 (step @p96 :rule and_intro :premises (@p303 @p302 @p304 @p305)) % 0.37/0.57 (step-pop @p306 :rule scope :premises (@p96)) % 0.37/0.57 (step-pop @p307 :rule scope :premises (@p306)) % 0.37/0.57 (step-pop @p308 :rule scope :premises (@p307)) % 0.37/0.57 (step-pop @p309 :rule scope :premises (@p308)) % 0.37/0.57 (step @p97 :rule process_scope :premises (@p309) :args (@t23)) % 0.37/0.57 (step @p102 :rule implies_elim :premises (@p97)) % 0.37/0.57 (step @p103 :rule resolution :premises (@p102 @p87) :args (true @t23)) % 0.37/0.57 (step @p104 :rule not_and :premises (@p103)) % 0.37/0.57 (step @p105 :rule eq_resolve :premises (@p104 @p71)) % 0.37/0.57 (step @p106 :rule reordering :premises (@p105) :args ((or @t6 @t19 @t17 @t18))) % 0.37/0.57 (step @p107 :rule bool-double-not-elim :args (@t13)) % 0.37/0.57 (step @p108 :rule bool-double-not-elim :args (@t5)) % 0.37/0.57 (step @p109 :rule refl :args (@t24)) % 0.37/0.57 (step @p110 :rule nary_cong :premises (@p109 @p67 @p108 @p107) :args ((or @t24 @t21 @t27 @t26))) % 0.37/0.57 (assume-push @p310 @t15) % 0.37/0.57 (assume-push @p311 @t25) % 0.37/0.57 (assume-push @p312 @t18) % 0.37/0.57 (assume-push @p313 @t20) % 0.37/0.57 (step @p76 :rule evaluate :args (@t22)) % 0.37/0.57 (step @p115 :rule true_intro :premises (@p310)) % 0.37/0.57 (step @p116 :rule false_intro :premises (@p311)) % 0.37/0.57 (step @p117 :rule symm :premises (@p116)) % 0.37/0.57 (step @p118 :rule false_intro :premises (@p312)) % 0.37/0.57 (step @p119 :rule trans :premises (@p118 @p117)) % 0.37/0.57 (step @p120 :rule cong :premises (@p119) :args (@t6)) % 0.37/0.57 (step @p121 :rule false_intro :premises (@p313)) % 0.37/0.57 (step @p122 :rule symm :premises (@p121)) % 0.37/0.57 (step @p123 :rule trans :premises (@p122 @p120 @p115)) % 0.37/0.57 (step @p124 false :rule eq_resolve :premises (@p123 @p76)) % 0.37/0.57 (step-pop @p314 :rule scope :premises (@p124)) % 0.37/0.57 (step-pop @p315 :rule scope :premises (@p314)) % 0.37/0.57 (step-pop @p316 :rule scope :premises (@p315)) % 0.37/0.57 (step-pop @p317 :rule scope :premises (@p316)) % 0.37/0.57 (step @p125 :rule process_scope :premises (@p317) :args (false)) % 0.37/0.57 (assume-push @p318 @t15) % 0.37/0.57 (assume-push @p319 @t20) % 0.37/0.57 (assume-push @p320 @t18) % 0.37/0.57 (assume-push @p321 @t25) % 0.37/0.57 (step @p134 :rule and_intro :premises (@p318 @p321 @p320 @p319)) % 0.37/0.57 (step-pop @p322 :rule scope :premises (@p134)) % 0.37/0.57 (step-pop @p323 :rule scope :premises (@p322)) % 0.37/0.57 (step-pop @p324 :rule scope :premises (@p323)) % 0.37/0.57 (step-pop @p325 :rule scope :premises (@p324)) % 0.37/0.57 (step @p135 :rule process_scope :premises (@p325) :args (@t28)) % 0.37/0.57 (step @p140 :rule implies_elim :premises (@p135)) % 0.37/0.57 (step @p141 :rule resolution :premises (@p140 @p125) :args (true @t28)) % 0.37/0.57 (step @p142 :rule not_and :premises (@p141)) % 0.37/0.57 (step @p143 :rule eq_resolve :premises (@p142 @p110)) % 0.37/0.57 (step @p144 :rule reordering :premises (@p143) :args ((or @t5 @t6 @t13 @t24))) % 0.37/0.57 (step @p145 :rule chain_m_resolution :premises (@p144 @p106 @p66 @p45 @p38) :args ((or @t19 @t17) (@list true false true true) (@list @t5 @t15 @t13 @t6))) % 0.37/0.57 (step @p146 :rule equiv_elim2 :premises (@p64)) % 0.37/0.57 (step @p147 :rule refl :args (@t15)) % 0.37/0.57 (step @p148 :rule bool-double-not-elim :args (@t7)) % 0.37/0.57 (step @p149 :rule nary_cong :premises (@p69 @p148 @p107 @p147) :args ((or @t19 @t29 @t26 @t15))) % 0.37/0.57 (assume-push @p326 @t8) % 0.37/0.57 (assume-push @p327 @t17) % 0.37/0.57 (assume-push @p328 @t25) % 0.37/0.57 (assume-push @p329 @t8) % 0.37/0.57 (assume-push @p330 @t17) % 0.37/0.57 (assume-push @p331 @t25) % 0.37/0.57 (step @p156 :rule true_intro :premises (@p326)) % 0.37/0.57 (step @p157 :rule false_intro :premises (@p327)) % 0.37/0.57 (step @p158 :rule symm :premises (@p157)) % 0.37/0.57 (step @p159 :rule false_intro :premises (@p328)) % 0.37/0.57 (step @p160 :rule trans :premises (@p159 @p158)) % 0.37/0.57 (step @p161 :rule cong :premises (@p160) :args (@t15)) % 0.37/0.57 (step @p162 :rule trans :premises (@p161 @p156)) % 0.37/0.57 (step @p163 :rule true_elim :premises (@p162)) % 0.37/0.57 (step-pop @p332 :rule scope :premises (@p163)) % 0.37/0.57 (step-pop @p333 :rule scope :premises (@p332)) % 0.37/0.57 (step-pop @p334 :rule scope :premises (@p333)) % 0.37/0.57 (step @p164 :rule process_scope :premises (@p334) :args (@t15)) % 0.37/0.57 (step @p168 :rule and_intro :premises (@p326 @p327 @p328)) % 0.37/0.57 (step @p169 :rule modus_ponens :premises (@p168 @p164)) % 0.37/0.57 (step-pop @p335 :rule scope :premises (@p169)) % 0.37/0.57 (step-pop @p336 :rule scope :premises (@p335)) % 0.37/0.57 (step-pop @p337 :rule scope :premises (@p336)) % 0.37/0.57 (step @p170 :rule process_scope :premises (@p337) :args (@t15)) % 0.37/0.57 (step @p174 :rule implies_elim :premises (@p170)) % 0.37/0.57 (step @p175 :rule cnf_and_neg :args (@t30)) % 0.37/0.57 (step @p176 :rule resolution :premises (@p175 @p174) :args (true @t30)) % 0.37/0.57 (step @p177 :rule eq_resolve :premises (@p176 @p149)) % 0.37/0.57 (step @p178 :rule reordering :premises (@p177) :args ((or @t7 @t13 @t15 @t19))) % 0.37/0.57 (step @p179 :rule chain_m_resolution :premises (@p178 @p146 @p145 @p45 @p38) :args (@t19 (@list true true true true) (@list @t15 @t7 @t13 @t6))) % 0.37/0.57 (step @p180 :rule not_equiv_elim1 :premises (@p37)) % 0.37/0.57 (step @p181 :rule chain_m_resolution :premises (@p180 @p179) :args (@t6 @t31 (@list @t8))) % 0.37/0.57 (step @p182 :rule equiv_elim1 :premises (@p44)) % 0.37/0.57 (step @p183 :rule reordering :premises (@p182) :args ((or @t13 @t20))) % 0.37/0.57 (step @p184 :rule chain_m_resolution :premises (@p183 @p181) :args (@t13 (@list false) (@list @t6))) % 0.37/0.57 (step @p185 :rule bool-double-not-elim :args (@t8)) % 0.37/0.57 (step @p186 :rule refl :args (@t25)) % 0.37/0.57 (step @p187 :rule nary_cong :premises (@p70 @p186 @p185 @p109) :args ((or @t17 @t25 @t32 @t24))) % 0.37/0.57 (assume-push @p338 @t7) % 0.37/0.57 (assume-push @p339 @t13) % 0.37/0.57 (assume-push @p340 @t19) % 0.37/0.57 (assume-push @p341 @t19) % 0.37/0.57 (assume-push @p342 @t7) % 0.37/0.57 (assume-push @p343 @t13) % 0.37/0.57 (step @p194 :rule false_intro :premises (@p340)) % 0.37/0.57 (step @p195 :rule true_intro :premises (@p338)) % 0.37/0.57 (step @p196 :rule symm :premises (@p195)) % 0.37/0.57 (step @p197 :rule true_intro :premises (@p339)) % 0.37/0.57 (step @p198 :rule trans :premises (@p197 @p196)) % 0.37/0.57 (step @p199 :rule cong :premises (@p198) :args (@t15)) % 0.37/0.57 (step @p200 :rule trans :premises (@p199 @p194)) % 0.37/0.57 (step @p201 :rule false_elim :premises (@p200)) % 0.37/0.57 (step-pop @p344 :rule scope :premises (@p201)) % 0.37/0.57 (step-pop @p345 :rule scope :premises (@p344)) % 0.37/0.57 (step-pop @p346 :rule scope :premises (@p345)) % 0.37/0.57 (step @p202 :rule process_scope :premises (@p346) :args (@t24)) % 0.37/0.57 (step @p206 :rule and_intro :premises (@p340 @p338 @p339)) % 0.37/0.57 (step @p207 :rule modus_ponens :premises (@p206 @p202)) % 0.37/0.57 (step-pop @p347 :rule scope :premises (@p207)) % 0.37/0.57 (step-pop @p348 :rule scope :premises (@p347)) % 0.37/0.57 (step-pop @p349 :rule scope :premises (@p348)) % 0.37/0.57 (step @p208 :rule process_scope :premises (@p349) :args (@t24)) % 0.37/0.57 (step @p212 :rule implies_elim :premises (@p208)) % 0.37/0.57 (step @p213 :rule cnf_and_neg :args (@t33)) % 0.37/0.57 (step @p214 :rule resolution :premises (@p213 @p212) :args (true @t33)) % 0.37/0.57 (step @p215 :rule eq_resolve :premises (@p214 @p187)) % 0.37/0.57 (step @p216 :rule reordering :premises (@p215) :args ((or @t8 @t17 @t24 @t25))) % 0.37/0.57 (step @p217 :rule chain_m_resolution :premises (@p216 @p184 @p179 @p66) :args (@t17 (@list false true false) (@list @t13 @t8 @t15))) % 0.37/0.57 (step @p218 :rule chain_m_resolution :premises (@p146 @p217) :args (@t24 @t31 (@list @t7))) % 0.37/0.57 (step @p219 :rule bool-double-not-elim :args (@t15)) % 0.37/0.57 (step @p220 :rule refl :args (@t20)) % 0.37/0.57 (step @p221 :rule nary_cong :premises (@p68 @p220 @p186 @p219) :args ((or @t18 @t20 @t25 (not @t24)))) % 0.37/0.57 (assume-push @p350 @t24) % 0.37/0.57 (assume-push @p351 @t13) % 0.37/0.57 (assume-push @p352 @t5) % 0.37/0.57 (assume-push @p353 @t6) % 0.37/0.57 (step @p226 :rule evaluate :args (@t34)) % 0.37/0.57 (step @p227 :rule false_intro :premises (@p350)) % 0.37/0.57 (step @p228 :rule true_intro :premises (@p351)) % 0.37/0.57 (step @p229 :rule symm :premises (@p228)) % 0.37/0.57 (step @p230 :rule true_intro :premises (@p352)) % 0.37/0.57 (step @p231 :rule trans :premises (@p230 @p229)) % 0.37/0.57 (step @p232 :rule cong :premises (@p231) :args (@t6)) % 0.37/0.57 (step @p233 :rule true_intro :premises (@p353)) % 0.37/0.57 (step @p234 :rule symm :premises (@p233)) % 0.37/0.57 (step @p235 :rule trans :premises (@p234 @p232 @p227)) % 0.37/0.57 (step @p236 false :rule eq_resolve :premises (@p235 @p226)) % 0.37/0.57 (step-pop @p354 :rule scope :premises (@p236)) % 0.37/0.57 (step-pop @p355 :rule scope :premises (@p354)) % 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 @p237 :rule process_scope :premises (@p357) :args (false)) % 0.37/0.57 (assume-push @p358 @t5) % 0.37/0.57 (assume-push @p359 @t6) % 0.37/0.57 (assume-push @p360 @t13) % 0.37/0.57 (assume-push @p361 @t24) % 0.37/0.57 (step @p246 :rule and_intro :premises (@p361 @p360 @p358 @p359)) % 0.37/0.57 (step-pop @p362 :rule scope :premises (@p246)) % 0.37/0.57 (step-pop @p363 :rule scope :premises (@p362)) % 0.37/0.57 (step-pop @p364 :rule scope :premises (@p363)) % 0.37/0.57 (step-pop @p365 :rule scope :premises (@p364)) % 0.37/0.57 (step @p247 :rule process_scope :premises (@p365) :args (@t35)) % 0.37/0.57 (step @p252 :rule implies_elim :premises (@p247)) % 0.37/0.57 (step @p253 :rule resolution :premises (@p252 @p237) :args (true @t35)) % 0.37/0.57 (step @p254 :rule not_and :premises (@p253)) % 0.37/0.57 (step @p255 :rule eq_resolve :premises (@p254 @p221)) % 0.37/0.57 (step @p256 :rule reordering :premises (@p255) :args ((or @t15 @t20 @t18 @t25))) % 0.37/0.57 (step @p257 :rule chain_m_resolution :premises (@p256 @p218 @p181 @p184) :args (@t18 (@list true false false) (@list @t15 @t6 @t13))) % 0.37/0.57 (step @p258 :rule nary_cong :premises (@p220 @p185 @p148 @p108) :args ((or @t20 @t32 @t29 @t27))) % 0.37/0.57 (assume-push @p366 @t19) % 0.37/0.57 (assume-push @p367 @t17) % 0.37/0.57 (assume-push @p368 @t18) % 0.37/0.57 (assume-push @p369 @t6) % 0.37/0.57 (step @p226 :rule evaluate :args (@t34)) % 0.37/0.57 (step @p263 :rule false_intro :premises (@p366)) % 0.37/0.57 (step @p264 :rule false_intro :premises (@p367)) % 0.37/0.57 (step @p265 :rule symm :premises (@p264)) % 0.37/0.57 (step @p266 :rule false_intro :premises (@p368)) % 0.37/0.57 (step @p267 :rule trans :premises (@p266 @p265)) % 0.37/0.57 (step @p268 :rule cong :premises (@p267) :args (@t6)) % 0.37/0.57 (step @p269 :rule true_intro :premises (@p369)) % 0.37/0.57 (step @p270 :rule symm :premises (@p269)) % 0.37/0.57 (step @p271 :rule trans :premises (@p270 @p268 @p263)) % 0.37/0.57 (step @p272 false :rule eq_resolve :premises (@p271 @p226)) % 0.37/0.57 (step-pop @p370 :rule scope :premises (@p272)) % 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-pop @p373 :rule scope :premises (@p372)) % 0.37/0.57 (step @p273 :rule process_scope :premises (@p373) :args (false)) % 0.37/0.57 (assume-push @p374 @t6) % 0.37/0.57 (assume-push @p375 @t19) % 0.37/0.57 (assume-push @p376 @t17) % 0.37/0.57 (assume-push @p377 @t18) % 0.37/0.57 (step @p282 :rule and_intro :premises (@p375 @p376 @p377 @p374)) % 0.37/0.57 (step-pop @p378 :rule scope :premises (@p282)) % 0.37/0.57 (step-pop @p379 :rule scope :premises (@p378)) % 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 @p283 :rule process_scope :premises (@p381) :args (@t36)) % 0.37/0.57 (step @p288 :rule implies_elim :premises (@p283)) % 0.37/0.57 (step @p289 :rule resolution :premises (@p288 @p273) :args (true @t36)) % 0.37/0.57 (step @p290 :rule not_and :premises (@p289)) % 0.37/0.57 (step @p291 :rule eq_resolve :premises (@p290 @p258)) % 0.37/0.57 (step @p292 :rule reordering :premises (@p291) :args ((or @t7 @t8 @t5 @t20))) % 0.37/0.57 (step @p293 false :rule chain_m_resolution :premises (@p292 @p257 @p217 @p181 @p179) :args (false (@list true true false true) (@list @t5 @t7 @t6 @t8))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------