%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR120^1 : 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 : n012.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 08:12:59 AM UTC 2026 % Result : Theorem 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : CSR120^1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 21:56:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TH0 % 0.15/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort $$unsorted 0) % 0.15/0.36 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.15/0.36 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 0.15/0.36 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.15/0.36 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.15/0.36 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.15/0.36 (define @t1 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.15/0.36 (define @t2 () (not @t1)) % 0.15/0.36 (define @t3 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.15/0.36 (define @t4 () (not @t3)) % 0.15/0.36 (define @t5 () (or @t4 @t2)) % 0.15/0.36 (define @t6 () (not @t5)) % 0.15/0.36 (define @t7 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.15/0.36 (define @t8 () (_ tptp.holdsDuring_THFTYPE_IiooI @t7)) % 0.15/0.36 (define @t9 () (@var "Y" $$unsorted)) % 0.15/0.36 (define @t10 () (_ (_ tptp.likes_THFTYPE_IiioI @t9) tptp.lBill_THFTYPE_i)) % 0.15/0.36 (define @t11 () (_ @t8 @t10)) % 0.15/0.36 (define @t12 () (@list @t9)) % 0.15/0.36 (define @t13 () (exists @t12 @t11)) % 0.15/0.36 (define @t14 () (not @t13)) % 0.15/0.36 (define @t15 () (@purify @t6)) % 0.15/0.36 (define @t16 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.15/0.36 (define @t17 () (tptp.holdsDuring_THFTYPE_IiooI @t16 @t15)) % 0.15/0.36 (define @t18 () (_ tptp.holdsDuring_THFTYPE_IiooI @t16)) % 0.15/0.36 (define @t19 () (= @t6 @t15)) % 0.15/0.36 (define @t20 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.15/0.36 (define @t21 () (not @t20)) % 0.15/0.36 (define @t22 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.15/0.36 (define @t23 () (not @t22)) % 0.15/0.36 (define @t24 () (or @t23 @t21)) % 0.15/0.36 (define @t25 () (not @t24)) % 0.15/0.36 (define @t26 () (not @t15)) % 0.15/0.36 (define @t27 () (@purify @t22)) % 0.15/0.36 (define @t28 () (tptp.likes_THFTYPE_IiioI @t9 tptp.lBill_THFTYPE_i)) % 0.15/0.36 (define @t29 () (tptp.holdsDuring_THFTYPE_IiooI @t16 @t28)) % 0.15/0.36 (define @t30 () (forall @t12 (not @t29))) % 0.15/0.36 (define @t31 () (not @t11)) % 0.15/0.36 (define @t32 () (forall @t12 @t31)) % 0.15/0.36 (define @t33 () (not @t32)) % 0.15/0.36 (define @t34 () (tptp.holdsDuring_THFTYPE_IiooI @t16 @t22)) % 0.15/0.36 (define @t35 () (not @t34)) % 0.15/0.36 (define @t36 () (tptp.holdsDuring_THFTYPE_IiooI @t16 @t27)) % 0.15/0.36 (define @t37 () (not @t36)) % 0.15/0.36 (define @t38 () (@list false)) % 0.15/0.36 (define @t39 () (@list @t30)) % 0.15/0.36 (define @t40 () (not @t27)) % 0.15/0.36 (define @t41 () (not @t17)) % 0.15/0.36 (define @t42 () (not @t37)) % 0.15/0.36 (define @t43 () (= false true)) % 0.15/0.36 (define @t44 () (and @t17 @t15 @t27 @t37)) % 0.15/0.36 (define @t45 () (@purify @t20)) % 0.15/0.36 (define @t46 () (tptp.holdsDuring_THFTYPE_IiooI @t16 @t20)) % 0.15/0.36 (define @t47 () (not @t46)) % 0.15/0.36 (define @t48 () (tptp.holdsDuring_THFTYPE_IiooI @t16 @t45)) % 0.15/0.36 (define @t49 () (not @t48)) % 0.15/0.36 (define @t50 () (@list true)) % 0.15/0.36 (define @t51 () (not @t26)) % 0.15/0.36 (define @t52 () (and @t17 @t26 @t40 @t37)) % 0.15/0.36 (define @t53 () (not @t45)) % 0.15/0.36 (define @t54 () (and @t17 @t26 @t53 @t49)) % 0.15/0.36 (assume @p1 (_ @t8 @t6)) % 0.15/0.36 (assume @p2 @t14) % 0.15/0.36 (assume @p3 true) % 0.15/0.36 (step @p4 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t7 @t15))) % 0.15/0.36 (step @p5 :rule refl :args (@t15)) % 0.15/0.36 (step @p6 :rule refl :args (@t16)) % 0.15/0.36 (step @p7 :rule cong :premises (@p6 @p5) :args (@t17)) % 0.15/0.36 (step @p8 :rule trans :premises (@p7 @p4)) % 0.15/0.36 (step @p9 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.15/0.36 (step @p10 :rule ho_cong :premises (@p9 @p6)) % 0.15/0.36 (step @p11 :rule ho_cong :premises (@p10 @p5)) % 0.15/0.36 (step @p12 :rule cong :premises (@p11 @p8) :args ((= (_ @t18 @t15) @t17))) % 0.15/0.36 (step @p13 :rule symm :premises (@p12)) % 0.15/0.36 (step @p14 :rule refl :args ((_ @t8 @t15))) % 0.15/0.36 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 0.15/0.36 (step @p16 :rule eq-refl :args (@t6)) % 0.15/0.36 (step @p17 :rule skolem_intro :args (@t15)) % 0.15/0.36 (step @p18 :rule refl :args (@t6)) % 0.15/0.36 (step @p19 :rule cong :premises (@p18 @p17) :args (@t19)) % 0.15/0.36 (step @p20 :rule trans :premises (@p19 @p16)) % 0.15/0.36 (step @p21 :rule true_elim :premises (@p20)) % 0.15/0.36 (step @p22 :rule refl :args (@t7)) % 0.15/0.36 (step @p23 :rule cong :premises (@p22 @p6) :args ((= @t7 @t16))) % 0.15/0.36 (step @p24 :rule symm :premises (@p23)) % 0.15/0.36 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.15/0.36 (step @p26 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.15/0.36 (step @p27 :rule ho_cong :premises (@p26 @p25)) % 0.15/0.36 (step @p28 :rule ho_cong :premises (@p27 @p21)) % 0.15/0.36 (step @p29 :rule trans :premises (@p28 @p15)) % 0.15/0.36 (step @p30 :rule eq_resolve :premises (@p1 @p29)) % 0.15/0.36 (step @p31 :rule eq-symm :args (@t25 @t15)) % 0.15/0.36 (step @p32 :rule refl :args (@t15)) % 0.15/0.36 (step @p33 :rule refl :args (@t20)) % 0.15/0.36 (step @p34 :rule refl :args (@t1)) % 0.15/0.36 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t1 @t20))) % 0.15/0.36 (step @p36 :rule symm :premises (@p35)) % 0.15/0.36 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.15/0.36 (step @p38 :rule cong :premises (@p37) :args (@t2)) % 0.15/0.36 (step @p39 :rule refl :args (@t22)) % 0.15/0.36 (step @p40 :rule refl :args (@t3)) % 0.15/0.36 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t3 @t22))) % 0.15/0.36 (step @p42 :rule symm :premises (@p41)) % 0.15/0.36 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.15/0.36 (step @p44 :rule cong :premises (@p43) :args (@t4)) % 0.15/0.36 (step @p45 :rule nary_cong :premises (@p44 @p38) :args (@t5)) % 0.15/0.36 (step @p46 :rule cong :premises (@p45) :args (@t6)) % 0.15/0.36 (step @p47 :rule cong :premises (@p46 @p32) :args (@t19)) % 0.15/0.36 (step @p48 :rule trans :premises (@p47 @p31)) % 0.15/0.36 (step @p49 :rule eq-symm :args (@t15 @t6)) % 0.15/0.36 (step @p50 :rule trans :premises (@p49 @p48)) % 0.15/0.36 (step @p51 :rule eq_resolve :premises (@p17 @p50)) % 0.15/0.36 (step @p52 :rule equiv_elim1 :premises (@p51)) % 0.15/0.36 (step @p53 :rule reordering :premises (@p52) :args ((or @t25 @t26))) % 0.15/0.36 (step @p54 :rule bool-double-not-elim :args (@t22)) % 0.15/0.36 (step @p55 :rule refl :args (@t24)) % 0.15/0.36 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t24 (not @t23)))) % 0.15/0.36 (step @p57 :rule cnf_or_neg :args (@t24 0)) % 0.15/0.36 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.15/0.36 (step @p59 :rule reordering :premises (@p58) :args ((or @t22 @t24))) % 0.15/0.36 (step @p60 :rule skolem_intro :args (@t27)) % 0.15/0.36 (step @p61 :rule symm :premises (@p60)) % 0.15/0.36 (step @p62 :rule equiv_elim1 :premises (@p61)) % 0.15/0.36 (step @p63 :rule bool-double-not-elim :args (@t30)) % 0.15/0.36 (step @p64 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t7 @t10))) % 0.15/0.36 (step @p65 :rule refl :args (@t28)) % 0.15/0.36 (step @p66 :rule cong :premises (@p6 @p65) :args (@t29)) % 0.15/0.36 (step @p67 :rule trans :premises (@p66 @p64)) % 0.15/0.36 (step @p68 :rule ho_cong :premises (@p10 @p65)) % 0.15/0.36 (step @p69 :rule cong :premises (@p68 @p67) :args ((= (_ @t18 @t28) @t29))) % 0.15/0.36 (step @p70 :rule symm :premises (@p69)) % 0.15/0.36 (step @p71 :rule refl :args (@t11)) % 0.15/0.36 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.15/0.36 (step @p73 :rule refl :args (@t10)) % 0.15/0.36 (step @p74 :rule cong :premises (@p73 @p65) :args ((= @t10 @t28))) % 0.15/0.36 (step @p75 :rule symm :premises (@p74)) % 0.15/0.36 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.15/0.36 (step @p77 :rule eq_resolve :premises (@p22 @p24)) % 0.15/0.36 (step @p78 :rule ho_cong :premises (@p9 @p77)) % 0.15/0.36 (step @p79 :rule ho_cong :premises (@p78 @p76)) % 0.15/0.36 (step @p80 :rule trans :premises (@p79 @p72)) % 0.15/0.36 (step @p81 :rule cong :premises (@p80) :args (@t31)) % 0.15/0.36 (step @p82 :rule cong :premises (@p81) :args (@t32)) % 0.15/0.36 (step @p83 :rule cong :premises (@p82) :args (@t33)) % 0.15/0.36 (step @p84 :rule exists-elim :args ((= @t13 @t33))) % 0.15/0.36 (step @p85 :rule trans :premises (@p84 @p83)) % 0.15/0.36 (step @p86 :rule cong :premises (@p85) :args (@t14)) % 0.15/0.36 (step @p87 :rule trans :premises (@p86 @p63)) % 0.15/0.36 (step @p88 :rule eq_resolve :premises (@p2 @p87)) % 0.15/0.36 (step @p89 :rule refl :args (@t16)) % 0.15/0.36 (step @p90 :rule cong :premises (@p89 @p61) :args (@t34)) % 0.15/0.36 (step @p91 :rule cong :premises (@p90) :args (@t35)) % 0.15/0.36 (step @p92 :rule refl :args (@t30)) % 0.15/0.36 (step @p93 :rule cong :premises (@p92 @p91) :args ((=> @t30 @t35))) % 0.15/0.36 (assume-push @p242 @t30) % 0.15/0.36 (step @p95 :rule instantiate :premises (@p88) :args ((@list tptp.lMary_THFTYPE_i))) % 0.15/0.36 (step-pop @p243 :rule scope :premises (@p95)) % 0.15/0.36 (step @p96 :rule process_scope :premises (@p243) :args (@t35)) % 0.15/0.36 (step @p98 :rule eq_resolve :premises (@p96 @p93)) % 0.15/0.36 (step @p99 :rule implies_elim :premises (@p98)) % 0.15/0.36 (step @p100 :rule chain_m_resolution :premises (@p99 @p88) :args (@t37 @t38 @t39)) % 0.15/0.36 (step @p101 :rule bool-double-not-elim :args (@t36)) % 0.15/0.36 (step @p102 :rule refl :args (@t40)) % 0.15/0.36 (step @p103 :rule refl :args (@t41)) % 0.15/0.36 (step @p104 :rule refl :args (@t26)) % 0.15/0.36 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102 @p101) :args ((or @t26 @t41 @t40 @t42))) % 0.15/0.36 (assume-push @p244 @t17) % 0.15/0.36 (assume-push @p245 @t15) % 0.15/0.36 (assume-push @p246 @t27) % 0.15/0.36 (assume-push @p247 @t37) % 0.15/0.36 (step @p110 :rule evaluate :args (@t43)) % 0.15/0.36 (step @p111 :rule true_intro :premises (@p30)) % 0.15/0.36 (step @p112 :rule true_intro :premises (@p245)) % 0.15/0.36 (step @p113 :rule symm :premises (@p112)) % 0.15/0.36 (step @p114 :rule true_intro :premises (@p246)) % 0.15/0.36 (step @p115 :rule trans :premises (@p114 @p113)) % 0.15/0.36 (step @p116 :rule cong :premises (@p89 @p115) :args (@t36)) % 0.15/0.36 (step @p117 :rule false_intro :premises (@p100)) % 0.15/0.36 (step @p118 :rule symm :premises (@p117)) % 0.15/0.36 (step @p119 :rule trans :premises (@p118 @p116 @p111)) % 0.15/0.36 (step @p120 false :rule eq_resolve :premises (@p119 @p110)) % 0.15/0.36 (step-pop @p248 :rule scope :premises (@p120)) % 0.15/0.36 (step-pop @p249 :rule scope :premises (@p248)) % 0.15/0.36 (step-pop @p250 :rule scope :premises (@p249)) % 0.15/0.36 (step-pop @p251 :rule scope :premises (@p250)) % 0.15/0.36 (step @p121 :rule process_scope :premises (@p251) :args (false)) % 0.15/0.36 (assume-push @p252 @t15) % 0.15/0.36 (assume-push @p253 @t17) % 0.15/0.36 (assume-push @p254 @t27) % 0.15/0.36 (assume-push @p255 @t37) % 0.15/0.36 (step @p130 :rule and_intro :premises (@p30 @p252 @p254 @p100)) % 0.15/0.36 (step-pop @p256 :rule scope :premises (@p130)) % 0.15/0.36 (step-pop @p257 :rule scope :premises (@p256)) % 0.15/0.36 (step-pop @p258 :rule scope :premises (@p257)) % 0.15/0.36 (step-pop @p259 :rule scope :premises (@p258)) % 0.15/0.36 (step @p131 :rule process_scope :premises (@p259) :args (@t44)) % 0.15/0.36 (step @p136 :rule implies_elim :premises (@p131)) % 0.15/0.36 (step @p137 :rule resolution :premises (@p136 @p121) :args (true @t44)) % 0.15/0.36 (step @p138 :rule not_and :premises (@p137)) % 0.15/0.36 (step @p139 :rule eq_resolve :premises (@p138 @p105)) % 0.15/0.36 (step @p140 :rule reordering :premises (@p139) :args ((or @t41 @t26 @t36 @t40))) % 0.15/0.36 (step @p141 :rule chain_m_resolution :premises (@p140 @p100 @p30 @p62 @p59 @p53) :args (@t26 (@list true false false false true) (@list @t36 @t17 @t27 @t22 @t24))) % 0.15/0.36 (step @p142 :rule eq-refl :args (@t20)) % 0.15/0.36 (step @p143 :rule skolem_intro :args (@t45)) % 0.15/0.36 (step @p144 :rule refl :args (@t20)) % 0.15/0.36 (step @p145 :rule cong :premises (@p144 @p143) :args ((= @t20 @t45))) % 0.15/0.36 (step @p146 :rule trans :premises (@p145 @p142)) % 0.15/0.36 (step @p147 :rule true_elim :premises (@p146)) % 0.15/0.36 (step @p148 :rule cong :premises (@p89 @p147) :args (@t46)) % 0.15/0.36 (step @p149 :rule cong :premises (@p148) :args (@t47)) % 0.15/0.36 (step @p150 :rule cong :premises (@p92 @p149) :args ((=> @t30 @t47))) % 0.15/0.36 (assume-push @p260 @t30) % 0.15/0.36 (step @p152 :rule instantiate :premises (@p88) :args ((@list tptp.lSue_THFTYPE_i))) % 0.15/0.36 (step-pop @p261 :rule scope :premises (@p152)) % 0.15/0.36 (step @p153 :rule process_scope :premises (@p261) :args (@t47)) % 0.15/0.36 (step @p155 :rule eq_resolve :premises (@p153 @p150)) % 0.15/0.36 (step @p156 :rule implies_elim :premises (@p155)) % 0.15/0.36 (step @p157 :rule chain_m_resolution :premises (@p156 @p88) :args (@t49 @t38 @t39)) % 0.15/0.36 (step @p158 :rule bool-double-not-elim :args (@t24)) % 0.15/0.36 (step @p159 :rule nary_cong :premises (@p32 @p158) :args ((or @t15 (not @t25)))) % 0.15/0.36 (step @p160 :rule equiv_elim2 :premises (@p51)) % 0.15/0.36 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 0.15/0.36 (step @p162 :rule chain_m_resolution :premises (@p161 @p141) :args (@t24 @t50 (@list @t15))) % 0.15/0.36 (step @p163 :rule bool-double-not-elim :args (@t27)) % 0.15/0.36 (step @p164 :rule bool-double-not-elim :args (@t15)) % 0.15/0.36 (step @p165 :rule nary_cong :premises (@p103 @p164 @p101 @p163) :args ((or @t41 @t51 @t42 (not @t40)))) % 0.15/0.36 (assume-push @p262 @t17) % 0.15/0.36 (assume-push @p263 @t26) % 0.15/0.36 (assume-push @p264 @t40) % 0.15/0.36 (assume-push @p265 @t37) % 0.15/0.36 (step @p110 :rule evaluate :args (@t43)) % 0.15/0.36 (step @p111 :rule true_intro :premises (@p30)) % 0.15/0.36 (step @p170 :rule false_intro :premises (@p263)) % 0.15/0.36 (step @p171 :rule symm :premises (@p170)) % 0.15/0.36 (step @p172 :rule false_intro :premises (@p264)) % 0.15/0.36 (step @p173 :rule trans :premises (@p172 @p171)) % 0.15/0.36 (step @p174 :rule cong :premises (@p89 @p173) :args (@t36)) % 0.15/0.36 (step @p117 :rule false_intro :premises (@p100)) % 0.15/0.36 (step @p118 :rule symm :premises (@p117)) % 0.15/0.36 (step @p175 :rule trans :premises (@p118 @p174 @p111)) % 0.15/0.36 (step @p176 false :rule eq_resolve :premises (@p175 @p110)) % 0.15/0.36 (step-pop @p266 :rule scope :premises (@p176)) % 0.15/0.36 (step-pop @p267 :rule scope :premises (@p266)) % 0.15/0.36 (step-pop @p268 :rule scope :premises (@p267)) % 0.15/0.36 (step-pop @p269 :rule scope :premises (@p268)) % 0.15/0.36 (step @p177 :rule process_scope :premises (@p269) :args (false)) % 0.15/0.36 (assume-push @p270 @t17) % 0.15/0.36 (assume-push @p271 @t26) % 0.15/0.36 (assume-push @p272 @t37) % 0.15/0.36 (assume-push @p273 @t40) % 0.15/0.36 (step @p186 :rule and_intro :premises (@p30 @p271 @p273 @p100)) % 0.15/0.36 (step-pop @p274 :rule scope :premises (@p186)) % 0.15/0.36 (step-pop @p275 :rule scope :premises (@p274)) % 0.15/0.36 (step-pop @p276 :rule scope :premises (@p275)) % 0.15/0.36 (step-pop @p277 :rule scope :premises (@p276)) % 0.15/0.36 (step @p187 :rule process_scope :premises (@p277) :args (@t52)) % 0.15/0.36 (step @p192 :rule implies_elim :premises (@p187)) % 0.15/0.36 (step @p193 :rule resolution :premises (@p192 @p177) :args (true @t52)) % 0.15/0.36 (step @p194 :rule not_and :premises (@p193)) % 0.15/0.36 (step @p195 :rule eq_resolve :premises (@p194 @p165)) % 0.15/0.36 (step @p196 :rule reordering :premises (@p195) :args ((or @t15 @t41 @t27 @t36))) % 0.15/0.36 (step @p197 :rule chain_m_resolution :premises (@p196 @p141 @p30 @p100) :args (@t27 (@list true false true) (@list @t15 @t17 @t36))) % 0.15/0.36 (step @p198 :rule equiv_elim2 :premises (@p61)) % 0.15/0.36 (step @p199 :rule chain_m_resolution :premises (@p198 @p197) :args (@t22 @t38 (@list @t27))) % 0.15/0.36 (step @p200 :rule cnf_or_pos :args (@t24)) % 0.15/0.36 (step @p201 :rule reordering :premises (@p200) :args ((or @t21 @t23 @t25))) % 0.15/0.36 (step @p202 :rule chain_m_resolution :premises (@p201 @p199 @p162) :args (@t21 (@list false false) (@list @t22 @t24))) % 0.15/0.36 (step @p203 :rule equiv_elim2 :premises (@p147)) % 0.15/0.36 (step @p204 :rule chain_m_resolution :premises (@p203 @p202) :args (@t53 @t50 (@list @t20))) % 0.15/0.36 (step @p205 :rule bool-double-not-elim :args (@t45)) % 0.15/0.36 (step @p206 :rule bool-double-not-elim :args (@t48)) % 0.15/0.36 (step @p207 :rule nary_cong :premises (@p103 @p164 @p206 @p205) :args ((or @t41 @t51 (not @t49) (not @t53)))) % 0.15/0.36 (assume-push @p278 @t17) % 0.15/0.36 (assume-push @p279 @t26) % 0.15/0.36 (assume-push @p280 @t53) % 0.15/0.36 (assume-push @p281 @t49) % 0.15/0.36 (step @p110 :rule evaluate :args (@t43)) % 0.15/0.36 (step @p111 :rule true_intro :premises (@p30)) % 0.15/0.36 (step @p212 :rule false_intro :premises (@p279)) % 0.15/0.36 (step @p213 :rule symm :premises (@p212)) % 0.15/0.36 (step @p214 :rule false_intro :premises (@p280)) % 0.15/0.36 (step @p215 :rule trans :premises (@p214 @p213)) % 0.15/0.36 (step @p216 :rule cong :premises (@p89 @p215) :args (@t48)) % 0.15/0.36 (step @p217 :rule false_intro :premises (@p157)) % 0.15/0.36 (step @p218 :rule symm :premises (@p217)) % 0.15/0.36 (step @p219 :rule trans :premises (@p218 @p216 @p111)) % 0.15/0.36 (step @p220 false :rule eq_resolve :premises (@p219 @p110)) % 0.15/0.36 (step-pop @p282 :rule scope :premises (@p220)) % 0.15/0.36 (step-pop @p283 :rule scope :premises (@p282)) % 0.15/0.36 (step-pop @p284 :rule scope :premises (@p283)) % 0.15/0.36 (step-pop @p285 :rule scope :premises (@p284)) % 0.15/0.36 (step @p221 :rule process_scope :premises (@p285) :args (false)) % 0.15/0.36 (assume-push @p286 @t17) % 0.15/0.36 (assume-push @p287 @t26) % 0.15/0.36 (assume-push @p288 @t49) % 0.15/0.36 (assume-push @p289 @t53) % 0.15/0.36 (step @p230 :rule and_intro :premises (@p30 @p287 @p289 @p157)) % 0.15/0.36 (step-pop @p290 :rule scope :premises (@p230)) % 0.15/0.36 (step-pop @p291 :rule scope :premises (@p290)) % 0.15/0.36 (step-pop @p292 :rule scope :premises (@p291)) % 0.15/0.36 (step-pop @p293 :rule scope :premises (@p292)) % 0.15/0.36 (step @p231 :rule process_scope :premises (@p293) :args (@t54)) % 0.15/0.36 (step @p236 :rule implies_elim :premises (@p231)) % 0.15/0.36 (step @p237 :rule resolution :premises (@p236 @p221) :args (true @t54)) % 0.15/0.36 (step @p238 :rule not_and :premises (@p237)) % 0.15/0.36 (step @p239 :rule eq_resolve :premises (@p238 @p207)) % 0.15/0.36 (step @p240 :rule reordering :premises (@p239) :args ((or @t15 @t41 @t45 @t48))) % 0.15/0.36 (step @p241 false :rule chain_m_resolution :premises (@p240 @p204 @p157 @p141 @p30) :args (false (@list true true true false) (@list @t45 @t48 @t15 @t17))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------