%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR123^1 : 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 : n017.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 08:13:00 AM UTC 2026 % Result : Theorem 0.40s 0.56s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR123^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 21:55:31 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.49 %----Proving TH0 % 0.40/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.56 % SZS status Theorem % 0.40/0.56 % SZS output start Proof % 0.40/0.56 ( % 0.40/0.56 (declare-sort $$unsorted 0) % 0.40/0.56 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.40/0.56 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 0.40/0.56 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 0.40/0.56 (declare-const tptp.lBen_THFTYPE_i $$unsorted) % 0.40/0.56 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.40/0.56 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.40/0.56 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.40/0.56 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.40/0.56 (define @t1 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.40/0.56 (define @t2 () (_ @t1 tptp.lBill_THFTYPE_i)) % 0.40/0.56 (define @t3 () (_ @t1 tptp.lBen_THFTYPE_i)) % 0.40/0.56 (define @t4 () (not @t3)) % 0.40/0.56 (define @t5 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.40/0.56 (define @t6 () (_ tptp.holdsDuring_THFTYPE_IiooI @t5)) % 0.40/0.56 (define @t7 () (@var "Y" $$unsorted)) % 0.40/0.56 (define @t8 () (@var "P" (-> $$unsorted $$unsorted Bool))) % 0.40/0.56 (define @t9 () (_ @t8 tptp.lSue_THFTYPE_i)) % 0.40/0.56 (define @t10 () (_ @t9 @t7)) % 0.40/0.56 (define @t11 () (not @t10)) % 0.40/0.56 (define @t12 () (@var "X" $$unsorted)) % 0.40/0.56 (define @t13 () (_ @t9 @t12)) % 0.40/0.56 (define @t14 () (and @t13 @t11)) % 0.40/0.56 (define @t15 () (_ @t6 @t14)) % 0.40/0.56 (define @t16 () (@list @t8 @t12 @t7)) % 0.40/0.56 (define @t17 () (exists @t16 @t15)) % 0.40/0.56 (define @t18 () (not @t17)) % 0.40/0.56 (define @t19 () (@purify @t4)) % 0.40/0.56 (define @t20 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.40/0.56 (define @t21 () (tptp.holdsDuring_THFTYPE_IiooI @t20 @t19)) % 0.40/0.56 (define @t22 () (_ tptp.holdsDuring_THFTYPE_IiooI @t20)) % 0.40/0.56 (define @t23 () (= @t4 @t19)) % 0.40/0.56 (define @t24 () (_ @t8 tptp.lSue_THFTYPE_i @t7)) % 0.40/0.56 (define @t25 () (not @t24)) % 0.40/0.56 (define @t26 () (_ @t8 tptp.lSue_THFTYPE_i @t12)) % 0.40/0.56 (define @t27 () (and @t26 @t25)) % 0.40/0.56 (define @t28 () (tptp.holdsDuring_THFTYPE_IiooI @t20 @t27)) % 0.40/0.56 (define @t29 () (forall @t16 (not @t28))) % 0.40/0.56 (define @t30 () (not @t15)) % 0.40/0.56 (define @t31 () (forall @t16 @t30)) % 0.40/0.56 (define @t32 () (not @t31)) % 0.40/0.56 (define @t33 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.40/0.56 (define @t34 () (not @t33)) % 0.40/0.56 (define @t35 () (and @t33 @t34)) % 0.40/0.56 (define @t36 () (@purify @t35)) % 0.40/0.56 (define @t37 () (tptp.holdsDuring_THFTYPE_IiooI @t20 @t35)) % 0.40/0.56 (define @t38 () (not @t37)) % 0.40/0.56 (define @t39 () (tptp.holdsDuring_THFTYPE_IiooI @t20 @t36)) % 0.40/0.56 (define @t40 () (not @t39)) % 0.40/0.56 (define @t41 () (@list false)) % 0.40/0.56 (define @t42 () (@list @t29)) % 0.40/0.56 (define @t43 () (not @t35)) % 0.40/0.56 (define @t44 () (not @t36)) % 0.40/0.56 (define @t45 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBen_THFTYPE_i)) % 0.40/0.56 (define @t46 () (not @t45)) % 0.40/0.56 (define @t47 () (not @t19)) % 0.40/0.56 (define @t48 () (and @t33 @t46)) % 0.40/0.56 (define @t49 () (@purify @t48)) % 0.40/0.56 (define @t50 () (tptp.holdsDuring_THFTYPE_IiooI @t20 @t48)) % 0.40/0.56 (define @t51 () (not @t50)) % 0.40/0.56 (define @t52 () (tptp.holdsDuring_THFTYPE_IiooI @t20 @t49)) % 0.40/0.56 (define @t53 () (not @t52)) % 0.40/0.56 (define @t54 () (not @t49)) % 0.40/0.56 (define @t55 () (not @t21)) % 0.40/0.56 (define @t56 () (and @t21 @t19 @t49 @t53)) % 0.40/0.56 (define @t57 () (and @t40 @t44 @t47 @t21)) % 0.40/0.56 (assume @p1 @t2) % 0.40/0.56 (assume @p2 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.40/0.56 (assume @p3 (_ @t6 @t4)) % 0.40/0.56 (assume @p4 @t18) % 0.40/0.56 (assume @p5 true) % 0.40/0.56 (step @p6 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t5 @t19))) % 0.40/0.56 (step @p7 :rule refl :args (@t19)) % 0.40/0.56 (step @p8 :rule refl :args (@t20)) % 0.40/0.56 (step @p9 :rule cong :premises (@p8 @p7) :args (@t21)) % 0.40/0.56 (step @p10 :rule trans :premises (@p9 @p6)) % 0.40/0.56 (step @p11 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.40/0.56 (step @p12 :rule ho_cong :premises (@p11 @p8)) % 0.40/0.56 (step @p13 :rule ho_cong :premises (@p12 @p7)) % 0.40/0.56 (step @p14 :rule cong :premises (@p13 @p10) :args ((= (_ @t22 @t19) @t21))) % 0.40/0.56 (step @p15 :rule symm :premises (@p14)) % 0.40/0.56 (step @p16 :rule refl :args ((_ @t6 @t19))) % 0.40/0.56 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.40/0.56 (step @p18 :rule eq-refl :args (@t4)) % 0.40/0.56 (step @p19 :rule skolem_intro :args (@t19)) % 0.40/0.56 (step @p20 :rule refl :args (@t4)) % 0.40/0.56 (step @p21 :rule cong :premises (@p20 @p19) :args (@t23)) % 0.40/0.56 (step @p22 :rule trans :premises (@p21 @p18)) % 0.40/0.56 (step @p23 :rule true_elim :premises (@p22)) % 0.40/0.56 (step @p24 :rule refl :args (@t5)) % 0.40/0.56 (step @p25 :rule cong :premises (@p24 @p8) :args ((= @t5 @t20))) % 0.40/0.56 (step @p26 :rule symm :premises (@p25)) % 0.40/0.56 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.40/0.56 (step @p28 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.40/0.56 (step @p29 :rule ho_cong :premises (@p28 @p27)) % 0.40/0.56 (step @p30 :rule ho_cong :premises (@p29 @p23)) % 0.40/0.56 (step @p31 :rule trans :premises (@p30 @p17)) % 0.40/0.56 (step @p32 :rule eq_resolve :premises (@p3 @p31)) % 0.40/0.56 (step @p33 :rule bool-double-not-elim :args (@t29)) % 0.40/0.56 (step @p34 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t5 @t14))) % 0.40/0.56 (step @p35 :rule refl :args (@t24)) % 0.40/0.56 (step @p36 :rule cong :premises (@p35) :args (@t25)) % 0.40/0.56 (step @p37 :rule refl :args (@t26)) % 0.40/0.56 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t27)) % 0.40/0.56 (step @p39 :rule cong :premises (@p8 @p38) :args (@t28)) % 0.40/0.56 (step @p40 :rule trans :premises (@p39 @p34)) % 0.40/0.56 (step @p41 :rule ho_cong :premises (@p12 @p38)) % 0.40/0.56 (step @p42 :rule cong :premises (@p41 @p40) :args ((= (_ @t22 @t27) @t28))) % 0.40/0.56 (step @p43 :rule symm :premises (@p42)) % 0.40/0.56 (step @p44 :rule refl :args (@t15)) % 0.40/0.56 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.40/0.56 (step @p46 :rule refl :args (@t10)) % 0.40/0.56 (step @p47 :rule cong :premises (@p46 @p35) :args ((= @t10 @t24))) % 0.40/0.56 (step @p48 :rule symm :premises (@p47)) % 0.40/0.56 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.40/0.56 (step @p50 :rule cong :premises (@p49) :args (@t11)) % 0.40/0.56 (step @p51 :rule refl :args (@t13)) % 0.40/0.56 (step @p52 :rule cong :premises (@p51 @p37) :args ((= @t13 @t26))) % 0.40/0.56 (step @p53 :rule symm :premises (@p52)) % 0.40/0.56 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.40/0.56 (step @p55 :rule nary_cong :premises (@p54 @p50) :args (@t14)) % 0.40/0.56 (step @p56 :rule eq_resolve :premises (@p24 @p26)) % 0.40/0.56 (step @p57 :rule ho_cong :premises (@p11 @p56)) % 0.40/0.56 (step @p58 :rule ho_cong :premises (@p57 @p55)) % 0.40/0.56 (step @p59 :rule trans :premises (@p58 @p45)) % 0.40/0.56 (step @p60 :rule cong :premises (@p59) :args (@t30)) % 0.40/0.56 (step @p61 :rule cong :premises (@p60) :args (@t31)) % 0.40/0.56 (step @p62 :rule cong :premises (@p61) :args (@t32)) % 0.40/0.56 (step @p63 :rule exists-elim :args ((= @t17 @t32))) % 0.40/0.56 (step @p64 :rule trans :premises (@p63 @p62)) % 0.40/0.56 (step @p65 :rule cong :premises (@p64) :args (@t18)) % 0.40/0.56 (step @p66 :rule trans :premises (@p65 @p33)) % 0.40/0.56 (step @p67 :rule eq_resolve :premises (@p4 @p66)) % 0.40/0.56 (step @p68 :rule eq-refl :args (@t35)) % 0.40/0.56 (step @p69 :rule skolem_intro :args (@t36)) % 0.40/0.56 (step @p70 :rule refl :args (@t35)) % 0.40/0.56 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t35 @t36))) % 0.40/0.56 (step @p72 :rule trans :premises (@p71 @p68)) % 0.40/0.56 (step @p73 :rule true_elim :premises (@p72)) % 0.40/0.56 (step @p74 :rule refl :args (@t20)) % 0.40/0.56 (step @p75 :rule cong :premises (@p74 @p73) :args (@t37)) % 0.40/0.56 (step @p76 :rule cong :premises (@p75) :args (@t38)) % 0.40/0.56 (step @p77 :rule refl :args (@t29)) % 0.40/0.56 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t29 @t38))) % 0.40/0.56 (assume-push @p213 @t29) % 0.40/0.56 (step @p80 :rule instantiate :premises (@p67) :args ((@list tptp.likes_THFTYPE_IiioI tptp.lBill_THFTYPE_i tptp.lBill_THFTYPE_i))) % 0.40/0.56 (step-pop @p214 :rule scope :premises (@p80)) % 0.40/0.56 (step @p81 :rule process_scope :premises (@p214) :args (@t38)) % 0.40/0.56 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.40/0.56 (step @p84 :rule implies_elim :premises (@p83)) % 0.40/0.56 (step @p85 :rule chain_m_resolution :premises (@p84 @p67) :args (@t40 @t41 @t42)) % 0.40/0.56 (step @p86 :rule refl :args (@t33)) % 0.40/0.56 (step @p87 :rule refl :args (@t2)) % 0.40/0.56 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t2 @t33))) % 0.40/0.56 (step @p89 :rule symm :premises (@p88)) % 0.40/0.56 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 0.40/0.56 (step @p91 :rule eq_resolve :premises (@p1 @p90)) % 0.40/0.56 (step @p92 :rule cnf_and_pos :args (@t35 1)) % 0.40/0.56 (step @p93 :rule reordering :premises (@p92) :args ((or @t34 @t43))) % 0.40/0.56 (step @p94 :rule chain_m_resolution :premises (@p93 @p91) :args (@t43 @t41 (@list @t33))) % 0.40/0.56 (step @p95 :rule equiv_elim2 :premises (@p73)) % 0.40/0.56 (step @p96 :rule chain_m_resolution :premises (@p95 @p94) :args (@t44 (@list true) (@list @t35))) % 0.40/0.56 (step @p97 :rule eq-symm :args (@t46 @t19)) % 0.40/0.56 (step @p98 :rule refl :args (@t19)) % 0.40/0.56 (step @p99 :rule refl :args (@t45)) % 0.40/0.56 (step @p100 :rule refl :args (@t3)) % 0.40/0.56 (step @p101 :rule cong :premises (@p100 @p99) :args ((= @t3 @t45))) % 0.40/0.56 (step @p102 :rule symm :premises (@p101)) % 0.40/0.56 (step @p103 :rule eq_resolve :premises (@p100 @p102)) % 0.40/0.56 (step @p104 :rule cong :premises (@p103) :args (@t4)) % 0.40/0.56 (step @p105 :rule cong :premises (@p104 @p98) :args (@t23)) % 0.40/0.56 (step @p106 :rule trans :premises (@p105 @p97)) % 0.40/0.56 (step @p107 :rule eq-symm :args (@t19 @t4)) % 0.40/0.56 (step @p108 :rule trans :premises (@p107 @p106)) % 0.40/0.56 (step @p109 :rule eq_resolve :premises (@p19 @p108)) % 0.40/0.56 (step @p110 :rule equiv_elim1 :premises (@p109)) % 0.40/0.56 (step @p111 :rule reordering :premises (@p110) :args ((or @t46 @t47))) % 0.40/0.56 (step @p112 :rule bool-double-not-elim :args (@t45)) % 0.40/0.56 (step @p113 :rule refl :args (@t34)) % 0.40/0.56 (step @p114 :rule refl :args (@t48)) % 0.40/0.56 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112) :args ((or @t48 @t34 (not @t46)))) % 0.40/0.56 (step @p116 :rule cnf_and_neg :args (@t48)) % 0.40/0.56 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.40/0.56 (step @p118 :rule reordering :premises (@p117) :args ((or @t45 @t34 @t48))) % 0.40/0.56 (step @p119 :rule skolem_intro :args (@t49)) % 0.40/0.56 (step @p120 :rule symm :premises (@p119)) % 0.40/0.56 (step @p121 :rule equiv_elim1 :premises (@p120)) % 0.40/0.56 (step @p122 :rule reordering :premises (@p121) :args ((or @t49 (not @t48)))) % 0.40/0.56 (step @p123 :rule cong :premises (@p74 @p120) :args (@t50)) % 0.40/0.56 (step @p124 :rule cong :premises (@p123) :args (@t51)) % 0.40/0.56 (step @p125 :rule cong :premises (@p77 @p124) :args ((=> @t29 @t51))) % 0.40/0.56 (assume-push @p215 @t29) % 0.40/0.56 (step @p127 :rule instantiate :premises (@p67) :args ((@list tptp.likes_THFTYPE_IiioI tptp.lBill_THFTYPE_i tptp.lBen_THFTYPE_i))) % 0.40/0.56 (step-pop @p216 :rule scope :premises (@p127)) % 0.40/0.56 (step @p128 :rule process_scope :premises (@p216) :args (@t51)) % 0.40/0.56 (step @p130 :rule eq_resolve :premises (@p128 @p125)) % 0.40/0.56 (step @p131 :rule implies_elim :premises (@p130)) % 0.40/0.56 (step @p132 :rule chain_m_resolution :premises (@p131 @p67) :args (@t53 @t41 @t42)) % 0.40/0.56 (step @p133 :rule bool-double-not-elim :args (@t52)) % 0.40/0.56 (step @p134 :rule refl :args (@t54)) % 0.40/0.56 (step @p135 :rule refl :args (@t55)) % 0.40/0.56 (step @p136 :rule refl :args (@t47)) % 0.40/0.56 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134 @p133) :args ((or @t47 @t55 @t54 (not @t53)))) % 0.40/0.56 (assume-push @p217 @t21) % 0.40/0.56 (assume-push @p218 @t19) % 0.40/0.56 (assume-push @p219 @t49) % 0.40/0.56 (assume-push @p220 @t53) % 0.40/0.56 (step @p142 :rule evaluate :args ((= false true))) % 0.40/0.56 (step @p143 :rule true_intro :premises (@p32)) % 0.40/0.56 (step @p144 :rule true_intro :premises (@p218)) % 0.40/0.56 (step @p145 :rule symm :premises (@p144)) % 0.40/0.56 (step @p146 :rule true_intro :premises (@p219)) % 0.40/0.56 (step @p147 :rule trans :premises (@p146 @p145)) % 0.40/0.56 (step @p148 :rule cong :premises (@p74 @p147) :args (@t52)) % 0.40/0.56 (step @p149 :rule false_intro :premises (@p132)) % 0.40/0.56 (step @p150 :rule symm :premises (@p149)) % 0.40/0.56 (step @p151 :rule trans :premises (@p150 @p148 @p143)) % 0.40/0.56 (step @p152 false :rule eq_resolve :premises (@p151 @p142)) % 0.40/0.56 (step-pop @p221 :rule scope :premises (@p152)) % 0.40/0.56 (step-pop @p222 :rule scope :premises (@p221)) % 0.40/0.56 (step-pop @p223 :rule scope :premises (@p222)) % 0.40/0.56 (step-pop @p224 :rule scope :premises (@p223)) % 0.40/0.56 (step @p153 :rule process_scope :premises (@p224) :args (false)) % 0.40/0.56 (assume-push @p225 @t19) % 0.40/0.56 (assume-push @p226 @t21) % 0.40/0.56 (assume-push @p227 @t49) % 0.40/0.56 (assume-push @p228 @t53) % 0.40/0.56 (step @p162 :rule and_intro :premises (@p32 @p225 @p227 @p132)) % 0.40/0.56 (step-pop @p229 :rule scope :premises (@p162)) % 0.40/0.56 (step-pop @p230 :rule scope :premises (@p229)) % 0.40/0.56 (step-pop @p231 :rule scope :premises (@p230)) % 0.40/0.56 (step-pop @p232 :rule scope :premises (@p231)) % 0.40/0.56 (step @p163 :rule process_scope :premises (@p232) :args (@t56)) % 0.40/0.56 (step @p168 :rule implies_elim :premises (@p163)) % 0.40/0.56 (step @p169 :rule resolution :premises (@p168 @p153) :args (true @t56)) % 0.40/0.56 (step @p170 :rule not_and :premises (@p169)) % 0.40/0.56 (step @p171 :rule eq_resolve :premises (@p170 @p137)) % 0.40/0.56 (step @p172 :rule reordering :premises (@p171) :args ((or @t55 @t47 @t52 @t54))) % 0.40/0.56 (step @p173 :rule chain_m_resolution :premises (@p172 @p132 @p32 @p122 @p118 @p91 @p111) :args (@t47 (@list true false false false false true) (@list @t52 @t21 @t49 @t48 @t33 @t45))) % 0.40/0.56 (step @p174 :rule bool-double-not-elim :args (@t36)) % 0.40/0.56 (step @p175 :rule bool-double-not-elim :args (@t39)) % 0.40/0.56 (step @p176 :rule bool-double-not-elim :args (@t19)) % 0.40/0.56 (step @p177 :rule nary_cong :premises (@p135 @p176 @p175 @p174) :args ((or @t55 (not @t47) (not @t40) (not @t44)))) % 0.40/0.56 (assume-push @p233 @t40) % 0.40/0.56 (assume-push @p234 @t44) % 0.40/0.56 (assume-push @p235 @t47) % 0.40/0.56 (assume-push @p236 @t21) % 0.40/0.56 (step @p182 :rule evaluate :args ((= true false))) % 0.40/0.56 (step @p183 :rule false_intro :premises (@p85)) % 0.40/0.56 (step @p184 :rule false_intro :premises (@p96)) % 0.40/0.56 (step @p185 :rule symm :premises (@p184)) % 0.40/0.56 (step @p186 :rule false_intro :premises (@p235)) % 0.40/0.56 (step @p187 :rule trans :premises (@p186 @p185)) % 0.40/0.56 (step @p188 :rule cong :premises (@p74 @p187) :args (@t21)) % 0.40/0.56 (step @p143 :rule true_intro :premises (@p32)) % 0.40/0.56 (step @p189 :rule symm :premises (@p143)) % 0.40/0.56 (step @p190 :rule trans :premises (@p189 @p188 @p183)) % 0.40/0.56 (step @p191 false :rule eq_resolve :premises (@p190 @p182)) % 0.40/0.56 (step-pop @p237 :rule scope :premises (@p191)) % 0.40/0.56 (step-pop @p238 :rule scope :premises (@p237)) % 0.40/0.56 (step-pop @p239 :rule scope :premises (@p238)) % 0.40/0.56 (step-pop @p240 :rule scope :premises (@p239)) % 0.40/0.56 (step @p192 :rule process_scope :premises (@p240) :args (false)) % 0.40/0.56 (assume-push @p241 @t21) % 0.40/0.56 (assume-push @p242 @t47) % 0.40/0.56 (assume-push @p243 @t40) % 0.40/0.56 (assume-push @p244 @t44) % 0.40/0.56 (step @p201 :rule and_intro :premises (@p85 @p96 @p242 @p32)) % 0.40/0.56 (step-pop @p245 :rule scope :premises (@p201)) % 0.40/0.56 (step-pop @p246 :rule scope :premises (@p245)) % 0.40/0.56 (step-pop @p247 :rule scope :premises (@p246)) % 0.40/0.56 (step-pop @p248 :rule scope :premises (@p247)) % 0.40/0.56 (step @p202 :rule process_scope :premises (@p248) :args (@t57)) % 0.40/0.56 (step @p207 :rule implies_elim :premises (@p202)) % 0.40/0.56 (step @p208 :rule resolution :premises (@p207 @p192) :args (true @t57)) % 0.40/0.56 (step @p209 :rule not_and :premises (@p208)) % 0.40/0.56 (step @p210 :rule eq_resolve :premises (@p209 @p177)) % 0.40/0.56 (step @p211 :rule reordering :premises (@p210) :args ((or @t19 @t55 @t36 @t39))) % 0.40/0.56 (step @p212 false :rule chain_m_resolution :premises (@p211 @p173 @p96 @p85 @p32) :args (false (@list true true true false) (@list @t19 @t36 @t39 @t21))) % 0.40/0.56 ) % 0.40/0.56 % SZS output end Proof % 0.40/0.56 % cvc5 exiting %------------------------------------------------------------------------------