%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR152^1 : 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 : n020.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 08:13:09 AM UTC 2026 % Result : Theorem 0.28s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : CSR152^1 : 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 % 0.17/0.35 % Computer : n020.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 : Mon Jun 1 22:00:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.28/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.28/0.57 % SZS status Theorem % 0.28/0.57 % SZS output start Proof % 0.28/0.57 ( % 0.28/0.57 (declare-sort $$unsorted 0) % 0.28/0.57 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.28/0.57 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.28/0.57 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.28/0.57 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.28/0.57 (declare-const tptp.knows_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.28/0.57 (declare-const tptp.lChris_THFTYPE_i $$unsorted) % 0.28/0.57 (define @t1 () (_ tptp.knows_THFTYPE_IiooI tptp.lChris_THFTYPE_i)) % 0.28/0.57 (define @t2 () (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 0.28/0.57 (define @t3 () (_ @t2 tptp.lBill_THFTYPE_i)) % 0.28/0.57 (define @t4 () (@var "X" $$unsorted)) % 0.28/0.57 (define @t5 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.28/0.57 (define @t6 () (_ @t5 @t4)) % 0.28/0.57 (define @t7 () (_ @t2 @t4)) % 0.28/0.57 (define @t8 () (@list @t4)) % 0.28/0.57 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.28/0.57 (define @t10 () (_ @t5 tptp.lBill_THFTYPE_i)) % 0.28/0.57 (define @t11 () (not (_ @t1 @t10))) % 0.28/0.57 (define @t12 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i @t4)) % 0.28/0.57 (define @t13 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i @t4)) % 0.28/0.57 (define @t14 () (forall @t8 (or (not @t13) @t12))) % 0.28/0.57 (define @t15 () (@purify @t14)) % 0.28/0.57 (define @t16 () (tptp.knows_THFTYPE_IiooI tptp.lChris_THFTYPE_i @t15)) % 0.28/0.57 (define @t17 () (_ @t1 @t15)) % 0.28/0.57 (define @t18 () (not @t7)) % 0.28/0.57 (define @t19 () (or @t18 @t6)) % 0.28/0.57 (define @t20 () (@purify @t10)) % 0.28/0.57 (define @t21 () (tptp.knows_THFTYPE_IiooI tptp.lChris_THFTYPE_i @t20)) % 0.28/0.57 (define @t22 () (_ @t1 @t20)) % 0.28/0.57 (define @t23 () (= @t10 @t20)) % 0.28/0.57 (define @t24 () (@purify true)) % 0.28/0.57 (define @t25 () (tptp.knows_THFTYPE_IiooI tptp.lChris_THFTYPE_i @t24)) % 0.28/0.57 (define @t26 () (_ @t1 @t24)) % 0.28/0.57 (define @t27 () (not @t20)) % 0.28/0.57 (define @t28 () (not @t25)) % 0.28/0.57 (define @t29 () (not @t24)) % 0.28/0.57 (define @t30 () (not @t21)) % 0.28/0.57 (define @t31 () (not @t30)) % 0.28/0.57 (define @t32 () (and @t25 @t24 @t20 @t30)) % 0.28/0.57 (define @t33 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.28/0.57 (define @t34 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.28/0.57 (define @t35 () (@list true)) % 0.28/0.57 (define @t36 () (not @t33)) % 0.28/0.57 (define @t37 () (or @t36 @t34)) % 0.28/0.57 (define @t38 () (not @t37)) % 0.28/0.57 (define @t39 () (not @t15)) % 0.28/0.57 (define @t40 () (not @t16)) % 0.28/0.57 (define @t41 () (and @t30 @t27 @t39 @t16)) % 0.28/0.57 (assume @p1 (_ @t1 (= tptp.lChris_THFTYPE_i tptp.lChris_THFTYPE_i))) % 0.28/0.57 (assume @p2 @t3) % 0.28/0.57 (assume @p3 (_ @t1 @t9)) % 0.28/0.57 (assume @p4 @t11) % 0.28/0.57 (assume @p5 true) % 0.28/0.57 (step @p6 :rule refl :args (@t16)) % 0.28/0.57 (step @p7 :rule refl :args (@t17)) % 0.28/0.57 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t17 @t16))) % 0.28/0.57 (step @p9 :rule symm :premises (@p8)) % 0.28/0.57 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.28/0.57 (step @p11 :rule eq-refl :args (@t14)) % 0.28/0.57 (step @p12 :rule skolem_intro :args (@t15)) % 0.28/0.57 (step @p13 :rule refl :args (@t14)) % 0.28/0.57 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t14 @t15))) % 0.28/0.57 (step @p15 :rule trans :premises (@p14 @p11)) % 0.28/0.57 (step @p16 :rule true_elim :premises (@p15)) % 0.28/0.57 (step @p17 :rule refl :args (@t1)) % 0.28/0.57 (step @p18 :rule ho_cong :premises (@p17 @p16)) % 0.28/0.57 (step @p19 :rule trans :premises (@p18 @p10)) % 0.28/0.57 (step @p20 :rule refl :args (@t12)) % 0.28/0.57 (step @p21 :rule refl :args (@t6)) % 0.28/0.57 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t6 @t12))) % 0.28/0.57 (step @p23 :rule symm :premises (@p22)) % 0.28/0.57 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.28/0.57 (step @p25 :rule refl :args (@t13)) % 0.28/0.57 (step @p26 :rule refl :args (@t7)) % 0.28/0.57 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t7 @t13))) % 0.28/0.57 (step @p28 :rule symm :premises (@p27)) % 0.28/0.57 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.28/0.57 (step @p30 :rule cong :premises (@p29) :args (@t18)) % 0.28/0.57 (step @p31 :rule nary_cong :premises (@p30 @p24) :args (@t19)) % 0.28/0.57 (step @p32 :rule cong :premises (@p31) :args ((forall @t8 @t19))) % 0.28/0.57 (step @p33 :rule bool-impl-elim :args (@t7 @t6)) % 0.28/0.57 (step @p34 :rule cong :premises (@p33) :args (@t9)) % 0.28/0.57 (step @p35 :rule trans :premises (@p34 @p32)) % 0.28/0.57 (step @p36 :rule ho_cong :premises (@p17 @p35)) % 0.28/0.57 (step @p37 :rule trans :premises (@p36 @p19)) % 0.28/0.57 (step @p38 :rule eq_resolve :premises (@p3 @p37)) % 0.28/0.57 (step @p39 :rule refl :args (@t21)) % 0.28/0.57 (step @p40 :rule refl :args (@t22)) % 0.28/0.57 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t22 @t21))) % 0.28/0.57 (step @p42 :rule symm :premises (@p41)) % 0.28/0.57 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.28/0.57 (step @p44 :rule eq-refl :args (@t10)) % 0.28/0.57 (step @p45 :rule skolem_intro :args (@t20)) % 0.28/0.57 (step @p46 :rule refl :args (@t10)) % 0.28/0.57 (step @p47 :rule cong :premises (@p46 @p45) :args (@t23)) % 0.28/0.57 (step @p48 :rule trans :premises (@p47 @p44)) % 0.28/0.57 (step @p49 :rule true_elim :premises (@p48)) % 0.28/0.57 (step @p50 :rule ho_cong :premises (@p17 @p49)) % 0.28/0.57 (step @p51 :rule trans :premises (@p50 @p43)) % 0.28/0.57 (step @p52 :rule cong :premises (@p51) :args (@t11)) % 0.28/0.57 (step @p53 :rule eq_resolve :premises (@p4 @p52)) % 0.28/0.57 (step @p54 :rule bool-eq-true :args (@t24)) % 0.28/0.57 (step @p55 :rule skolem_intro :args (@t24)) % 0.28/0.57 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 0.28/0.57 (step @p57 :rule refl :args (@t25)) % 0.28/0.57 (step @p58 :rule refl :args (@t26)) % 0.28/0.57 (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t26 @t25))) % 0.28/0.57 (step @p60 :rule symm :premises (@p59)) % 0.28/0.57 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.28/0.57 (step @p62 :rule symm :premises (@p55)) % 0.28/0.57 (step @p63 :rule ho_cong :premises (@p17 @p62)) % 0.28/0.57 (step @p64 :rule trans :premises (@p63 @p61)) % 0.28/0.57 (step @p65 :rule eq-refl :args (tptp.lChris_THFTYPE_i)) % 0.28/0.57 (step @p66 :rule ho_cong :premises (@p17 @p65)) % 0.28/0.57 (step @p67 :rule trans :premises (@p66 @p64)) % 0.28/0.57 (step @p68 :rule eq_resolve :premises (@p1 @p67)) % 0.28/0.57 (step @p69 :rule bool-double-not-elim :args (@t21)) % 0.28/0.57 (step @p70 :rule refl :args (@t27)) % 0.28/0.57 (step @p71 :rule refl :args (@t28)) % 0.28/0.57 (step @p72 :rule refl :args (@t29)) % 0.28/0.57 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70 @p69) :args ((or @t29 @t28 @t27 @t31))) % 0.28/0.57 (assume-push @p179 @t25) % 0.28/0.57 (assume-push @p180 @t24) % 0.28/0.57 (assume-push @p181 @t20) % 0.28/0.57 (assume-push @p182 @t30) % 0.28/0.57 (step @p78 :rule evaluate :args ((= false true))) % 0.28/0.57 (step @p79 :rule true_intro :premises (@p68)) % 0.28/0.57 (step @p80 :rule true_intro :premises (@p181)) % 0.28/0.57 (step @p81 :rule trans :premises (@p80 @p62)) % 0.28/0.57 (step @p82 :rule refl :args (tptp.lChris_THFTYPE_i)) % 0.28/0.57 (step @p83 :rule cong :premises (@p82 @p81) :args (@t21)) % 0.28/0.57 (step @p84 :rule false_intro :premises (@p53)) % 0.28/0.57 (step @p85 :rule symm :premises (@p84)) % 0.28/0.57 (step @p86 :rule trans :premises (@p85 @p83 @p79)) % 0.28/0.57 (step @p87 false :rule eq_resolve :premises (@p86 @p78)) % 0.28/0.57 (step-pop @p183 :rule scope :premises (@p87)) % 0.28/0.57 (step-pop @p184 :rule scope :premises (@p183)) % 0.28/0.57 (step-pop @p185 :rule scope :premises (@p184)) % 0.28/0.57 (step-pop @p186 :rule scope :premises (@p185)) % 0.28/0.57 (step @p88 :rule process_scope :premises (@p186) :args (false)) % 0.28/0.57 (assume-push @p187 @t24) % 0.28/0.57 (assume-push @p188 @t25) % 0.28/0.57 (assume-push @p189 @t20) % 0.28/0.57 (assume-push @p190 @t30) % 0.28/0.57 (step @p97 :rule and_intro :premises (@p68 @p56 @p189 @p53)) % 0.28/0.57 (step-pop @p191 :rule scope :premises (@p97)) % 0.28/0.57 (step-pop @p192 :rule scope :premises (@p191)) % 0.28/0.57 (step-pop @p193 :rule scope :premises (@p192)) % 0.28/0.57 (step-pop @p194 :rule scope :premises (@p193)) % 0.28/0.57 (step @p98 :rule process_scope :premises (@p194) :args (@t32)) % 0.28/0.57 (step @p103 :rule implies_elim :premises (@p98)) % 0.28/0.57 (step @p104 :rule resolution :premises (@p103 @p88) :args (true @t32)) % 0.28/0.57 (step @p105 :rule not_and :premises (@p104)) % 0.28/0.57 (step @p106 :rule eq_resolve :premises (@p105 @p73)) % 0.28/0.57 (step @p107 :rule reordering :premises (@p106) :args ((or @t21 @t28 @t29 @t27))) % 0.39/0.57 (step @p108 :rule chain_m_resolution :premises (@p107 @p53 @p68 @p56) :args (@t27 (@list true false false) (@list @t21 @t25 @t24))) % 0.39/0.57 (step @p109 :rule refl :args (@t33)) % 0.39/0.57 (step @p110 :rule refl :args (@t3)) % 0.39/0.57 (step @p111 :rule cong :premises (@p110 @p109) :args ((= @t3 @t33))) % 0.39/0.57 (step @p112 :rule symm :premises (@p111)) % 0.39/0.57 (step @p113 :rule eq_resolve :premises (@p110 @p112)) % 0.39/0.57 (step @p114 :rule eq_resolve :premises (@p2 @p113)) % 0.39/0.57 (step @p115 :rule eq-symm :args (@t34 @t20)) % 0.39/0.57 (step @p116 :rule refl :args (@t20)) % 0.39/0.57 (step @p117 :rule refl :args (@t34)) % 0.39/0.57 (step @p118 :rule refl :args (@t10)) % 0.39/0.57 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t10 @t34))) % 0.39/0.57 (step @p120 :rule symm :premises (@p119)) % 0.39/0.57 (step @p121 :rule eq_resolve :premises (@p118 @p120)) % 0.39/0.57 (step @p122 :rule cong :premises (@p121 @p116) :args (@t23)) % 0.39/0.57 (step @p123 :rule trans :premises (@p122 @p115)) % 0.39/0.57 (step @p124 :rule eq-symm :args (@t20 @t10)) % 0.39/0.57 (step @p125 :rule trans :premises (@p124 @p123)) % 0.39/0.57 (step @p126 :rule eq_resolve :premises (@p45 @p125)) % 0.39/0.57 (step @p127 :rule equiv_elim2 :premises (@p126)) % 0.39/0.57 (step @p128 :rule chain_m_resolution :premises (@p127 @p108) :args ((not @t34) @t35 (@list @t20))) % 0.39/0.57 (step @p129 :rule cnf_or_pos :args (@t37)) % 0.39/0.57 (step @p130 :rule reordering :premises (@p129) :args ((or @t34 @t36 @t38))) % 0.39/0.57 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p114) :args (@t38 (@list true false) (@list @t34 @t33))) % 0.39/0.57 (assume-push @p195 @t14) % 0.39/0.57 (step @p133 :rule instantiate :premises (@p195) :args ((@list tptp.lBill_THFTYPE_i))) % 0.39/0.57 (step-pop @p196 :rule scope :premises (@p133)) % 0.39/0.57 (step @p134 :rule process_scope :premises (@p196) :args (@t37)) % 0.39/0.57 (step @p136 :rule implies_elim :premises (@p134)) % 0.39/0.57 (step @p137 :rule chain_m_resolution :premises (@p136 @p131) :args ((not @t14) @t35 (@list @t37))) % 0.39/0.57 (step @p138 :rule equiv_elim2 :premises (@p16)) % 0.39/0.57 (step @p139 :rule chain_m_resolution :premises (@p138 @p137) :args (@t39 @t35 (@list @t14))) % 0.39/0.57 (step @p140 :rule bool-double-not-elim :args (@t20)) % 0.39/0.57 (step @p141 :rule bool-double-not-elim :args (@t15)) % 0.39/0.57 (step @p142 :rule refl :args (@t40)) % 0.39/0.57 (step @p143 :rule nary_cong :premises (@p142 @p69 @p141 @p140) :args ((or @t40 @t31 (not @t39) (not @t27)))) % 0.39/0.57 (assume-push @p197 @t30) % 0.39/0.57 (assume-push @p198 @t27) % 0.39/0.57 (assume-push @p199 @t39) % 0.39/0.57 (assume-push @p200 @t16) % 0.39/0.57 (step @p148 :rule evaluate :args ((= true false))) % 0.39/0.57 (step @p84 :rule false_intro :premises (@p53)) % 0.39/0.57 (step @p149 :rule false_intro :premises (@p198)) % 0.39/0.57 (step @p150 :rule symm :premises (@p149)) % 0.39/0.57 (step @p151 :rule false_intro :premises (@p199)) % 0.39/0.57 (step @p152 :rule trans :premises (@p151 @p150)) % 0.39/0.57 (step @p82 :rule refl :args (tptp.lChris_THFTYPE_i)) % 0.39/0.57 (step @p153 :rule cong :premises (@p82 @p152) :args (@t16)) % 0.39/0.57 (step @p154 :rule true_intro :premises (@p38)) % 0.39/0.57 (step @p155 :rule symm :premises (@p154)) % 0.39/0.57 (step @p156 :rule trans :premises (@p155 @p153 @p84)) % 0.39/0.57 (step @p157 false :rule eq_resolve :premises (@p156 @p148)) % 0.39/0.57 (step-pop @p201 :rule scope :premises (@p157)) % 0.39/0.57 (step-pop @p202 :rule scope :premises (@p201)) % 0.39/0.57 (step-pop @p203 :rule scope :premises (@p202)) % 0.39/0.57 (step-pop @p204 :rule scope :premises (@p203)) % 0.39/0.57 (step @p158 :rule process_scope :premises (@p204) :args (false)) % 0.39/0.57 (assume-push @p205 @t16) % 0.39/0.57 (assume-push @p206 @t30) % 0.39/0.57 (assume-push @p207 @t39) % 0.39/0.57 (assume-push @p208 @t27) % 0.39/0.57 (step @p167 :rule and_intro :premises (@p53 @p208 @p207 @p38)) % 0.39/0.57 (step-pop @p209 :rule scope :premises (@p167)) % 0.39/0.57 (step-pop @p210 :rule scope :premises (@p209)) % 0.39/0.57 (step-pop @p211 :rule scope :premises (@p210)) % 0.39/0.57 (step-pop @p212 :rule scope :premises (@p211)) % 0.39/0.57 (step @p168 :rule process_scope :premises (@p212) :args (@t41)) % 0.39/0.57 (step @p173 :rule implies_elim :premises (@p168)) % 0.39/0.57 (step @p174 :rule resolution :premises (@p173 @p158) :args (true @t41)) % 0.39/0.57 (step @p175 :rule not_and :premises (@p174)) % 0.39/0.57 (step @p176 :rule eq_resolve :premises (@p175 @p143)) % 0.39/0.57 (step @p177 :rule reordering :premises (@p176) :args ((or @t15 @t20 @t21 @t40))) % 0.39/0.57 (step @p178 false :rule chain_m_resolution :premises (@p177 @p139 @p108 @p53 @p38) :args (false (@list true true true false) (@list @t15 @t20 @t21 @t16))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------