%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR151^1 : 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 : n008.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 08:13:08 AM UTC 2026 % Result : Theorem 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR151^1 : 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 : n008.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 22:00:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.30/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort $$unsorted 0) % 0.30/0.54 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.30/0.54 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 0.30/0.54 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 0.30/0.54 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.30/0.54 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.30/0.54 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.30/0.54 (define @t1 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.30/0.54 (define @t2 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.30/0.54 (define @t3 () (and @t2 @t1)) % 0.30/0.54 (define @t4 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.30/0.54 (define @t5 () (_ tptp.holdsDuring_THFTYPE_IiooI @t4)) % 0.30/0.54 (define @t6 () (and @t1 @t2)) % 0.30/0.54 (define @t7 () (not (_ @t5 @t6))) % 0.30/0.54 (define @t8 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.30/0.54 (define @t9 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.30/0.54 (define @t10 () (and @t9 @t8)) % 0.30/0.54 (define @t11 () (@purify @t3)) % 0.30/0.54 (define @t12 () (= @t3 @t11)) % 0.30/0.54 (define @t13 () (not @t11)) % 0.30/0.54 (define @t14 () (not @t10)) % 0.30/0.54 (define @t15 () (and @t8 @t9)) % 0.30/0.54 (define @t16 () (@purify @t6)) % 0.30/0.54 (define @t17 () (= @t6 @t16)) % 0.30/0.54 (define @t18 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.30/0.54 (define @t19 () (tptp.holdsDuring_THFTYPE_IiooI @t18 @t11)) % 0.30/0.54 (define @t20 () (_ tptp.holdsDuring_THFTYPE_IiooI @t18)) % 0.30/0.54 (define @t21 () (tptp.holdsDuring_THFTYPE_IiooI @t18 @t16)) % 0.30/0.54 (define @t22 () (not @t16)) % 0.30/0.54 (define @t23 () (not @t19)) % 0.30/0.54 (define @t24 () (not @t21)) % 0.30/0.54 (define @t25 () (not @t24)) % 0.30/0.54 (define @t26 () (= false true)) % 0.30/0.54 (define @t27 () (and @t19 @t11 @t16 @t24)) % 0.30/0.54 (define @t28 () (and @t19 @t13 @t22 @t24)) % 0.30/0.54 (define @t29 () (@list false)) % 0.30/0.54 (define @t30 () (not @t15)) % 0.30/0.54 (define @t31 () (@list @t15)) % 0.30/0.54 (assume @p1 (_ @t5 @t3)) % 0.30/0.54 (assume @p2 @t7) % 0.30/0.54 (assume @p3 true) % 0.30/0.54 (step @p4 :rule eq-symm :args (@t10 @t11)) % 0.30/0.54 (step @p5 :rule refl :args (@t11)) % 0.30/0.54 (step @p6 :rule refl :args (@t8)) % 0.30/0.54 (step @p7 :rule refl :args (@t1)) % 0.30/0.54 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t1 @t8))) % 0.30/0.54 (step @p9 :rule symm :premises (@p8)) % 0.30/0.54 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.30/0.54 (step @p11 :rule refl :args (@t9)) % 0.30/0.54 (step @p12 :rule refl :args (@t2)) % 0.30/0.54 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t2 @t9))) % 0.30/0.54 (step @p14 :rule symm :premises (@p13)) % 0.30/0.54 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.30/0.54 (step @p16 :rule nary_cong :premises (@p15 @p10) :args (@t3)) % 0.30/0.54 (step @p17 :rule cong :premises (@p16 @p5) :args (@t12)) % 0.30/0.54 (step @p18 :rule trans :premises (@p17 @p4)) % 0.30/0.54 (step @p19 :rule eq-symm :args (@t11 @t3)) % 0.30/0.54 (step @p20 :rule trans :premises (@p19 @p18)) % 0.30/0.54 (step @p21 :rule skolem_intro :args (@t11)) % 0.30/0.54 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.30/0.54 (step @p23 :rule equiv_elim1 :premises (@p22)) % 0.30/0.54 (step @p24 :rule reordering :premises (@p23) :args ((or @t10 @t13))) % 0.30/0.54 (step @p25 :rule cnf_and_pos :args (@t10 0)) % 0.30/0.54 (step @p26 :rule reordering :premises (@p25) :args ((or @t9 @t14))) % 0.30/0.54 (step @p27 :rule cnf_and_pos :args (@t10 1)) % 0.30/0.54 (step @p28 :rule reordering :premises (@p27) :args ((or @t8 @t14))) % 0.30/0.54 (step @p29 :rule cnf_and_neg :args (@t15)) % 0.30/0.54 (step @p30 :rule reordering :premises (@p29) :args ((or @t15 (not @t9) (not @t8)))) % 0.30/0.54 (step @p31 :rule eq-symm :args (@t15 @t16)) % 0.30/0.54 (step @p32 :rule refl :args (@t16)) % 0.30/0.54 (step @p33 :rule nary_cong :premises (@p10 @p15) :args (@t6)) % 0.30/0.54 (step @p34 :rule cong :premises (@p33 @p32) :args (@t17)) % 0.30/0.54 (step @p35 :rule trans :premises (@p34 @p31)) % 0.30/0.54 (step @p36 :rule eq-symm :args (@t16 @t6)) % 0.30/0.54 (step @p37 :rule trans :premises (@p36 @p35)) % 0.30/0.54 (step @p38 :rule skolem_intro :args (@t16)) % 0.30/0.54 (step @p39 :rule eq_resolve :premises (@p38 @p37)) % 0.30/0.54 (step @p40 :rule equiv_elim2 :premises (@p39)) % 0.30/0.54 (step @p41 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t4 @t11))) % 0.30/0.54 (step @p42 :rule refl :args (@t11)) % 0.30/0.54 (step @p43 :rule refl :args (@t18)) % 0.30/0.54 (step @p44 :rule cong :premises (@p43 @p42) :args (@t19)) % 0.30/0.54 (step @p45 :rule trans :premises (@p44 @p41)) % 0.30/0.54 (step @p46 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.30/0.54 (step @p47 :rule ho_cong :premises (@p46 @p43)) % 0.30/0.54 (step @p48 :rule ho_cong :premises (@p47 @p42)) % 0.30/0.54 (step @p49 :rule cong :premises (@p48 @p45) :args ((= (_ @t20 @t11) @t19))) % 0.30/0.54 (step @p50 :rule symm :premises (@p49)) % 0.30/0.54 (step @p51 :rule refl :args ((_ @t5 @t11))) % 0.30/0.54 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.30/0.54 (step @p53 :rule eq-refl :args (@t3)) % 0.30/0.54 (step @p54 :rule refl :args (@t3)) % 0.30/0.54 (step @p55 :rule cong :premises (@p54 @p21) :args (@t12)) % 0.30/0.54 (step @p56 :rule trans :premises (@p55 @p53)) % 0.30/0.54 (step @p57 :rule true_elim :premises (@p56)) % 0.30/0.54 (step @p58 :rule refl :args (@t4)) % 0.30/0.54 (step @p59 :rule cong :premises (@p58 @p43) :args ((= @t4 @t18))) % 0.30/0.54 (step @p60 :rule symm :premises (@p59)) % 0.30/0.54 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.30/0.54 (step @p62 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.30/0.54 (step @p63 :rule ho_cong :premises (@p62 @p61)) % 0.30/0.54 (step @p64 :rule ho_cong :premises (@p63 @p57)) % 0.30/0.54 (step @p65 :rule trans :premises (@p64 @p52)) % 0.30/0.54 (step @p66 :rule eq_resolve :premises (@p1 @p65)) % 0.30/0.54 (step @p67 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t4 @t16))) % 0.30/0.54 (step @p68 :rule refl :args (@t16)) % 0.30/0.54 (step @p69 :rule cong :premises (@p43 @p68) :args (@t21)) % 0.30/0.54 (step @p70 :rule trans :premises (@p69 @p67)) % 0.30/0.54 (step @p71 :rule ho_cong :premises (@p47 @p68)) % 0.30/0.54 (step @p72 :rule cong :premises (@p71 @p70) :args ((= (_ @t20 @t16) @t21))) % 0.30/0.54 (step @p73 :rule symm :premises (@p72)) % 0.30/0.54 (step @p74 :rule refl :args ((_ @t5 @t16))) % 0.30/0.54 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.30/0.54 (step @p76 :rule eq-refl :args (@t6)) % 0.30/0.54 (step @p77 :rule refl :args (@t6)) % 0.30/0.54 (step @p78 :rule cong :premises (@p77 @p38) :args (@t17)) % 0.30/0.54 (step @p79 :rule trans :premises (@p78 @p76)) % 0.30/0.54 (step @p80 :rule true_elim :premises (@p79)) % 0.30/0.54 (step @p81 :rule ho_cong :premises (@p63 @p80)) % 0.30/0.54 (step @p82 :rule trans :premises (@p81 @p75)) % 0.30/0.54 (step @p83 :rule cong :premises (@p82) :args (@t7)) % 0.30/0.54 (step @p84 :rule eq_resolve :premises (@p2 @p83)) % 0.30/0.54 (step @p85 :rule bool-double-not-elim :args (@t21)) % 0.30/0.54 (step @p86 :rule refl :args (@t22)) % 0.30/0.54 (step @p87 :rule refl :args (@t23)) % 0.30/0.54 (step @p88 :rule refl :args (@t13)) % 0.30/0.54 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86 @p85) :args ((or @t13 @t23 @t22 @t25))) % 0.30/0.54 (assume-push @p175 @t19) % 0.30/0.54 (assume-push @p176 @t11) % 0.30/0.54 (assume-push @p177 @t16) % 0.30/0.54 (assume-push @p178 @t24) % 0.30/0.54 (step @p94 :rule evaluate :args (@t26)) % 0.30/0.54 (step @p95 :rule true_intro :premises (@p66)) % 0.30/0.54 (step @p96 :rule true_intro :premises (@p176)) % 0.30/0.54 (step @p97 :rule symm :premises (@p96)) % 0.30/0.54 (step @p98 :rule true_intro :premises (@p177)) % 0.30/0.54 (step @p99 :rule trans :premises (@p98 @p97)) % 0.30/0.54 (step @p100 :rule refl :args (@t18)) % 0.30/0.54 (step @p101 :rule cong :premises (@p100 @p99) :args (@t21)) % 0.30/0.54 (step @p102 :rule false_intro :premises (@p84)) % 0.30/0.54 (step @p103 :rule symm :premises (@p102)) % 0.30/0.54 (step @p104 :rule trans :premises (@p103 @p101 @p95)) % 0.30/0.54 (step @p105 false :rule eq_resolve :premises (@p104 @p94)) % 0.30/0.54 (step-pop @p179 :rule scope :premises (@p105)) % 0.30/0.54 (step-pop @p180 :rule scope :premises (@p179)) % 0.30/0.54 (step-pop @p181 :rule scope :premises (@p180)) % 0.30/0.54 (step-pop @p182 :rule scope :premises (@p181)) % 0.30/0.54 (step @p106 :rule process_scope :premises (@p182) :args (false)) % 0.30/0.54 (assume-push @p183 @t11) % 0.30/0.54 (assume-push @p184 @t19) % 0.30/0.54 (assume-push @p185 @t16) % 0.30/0.54 (assume-push @p186 @t24) % 0.30/0.54 (step @p115 :rule and_intro :premises (@p66 @p183 @p185 @p84)) % 0.30/0.54 (step-pop @p187 :rule scope :premises (@p115)) % 0.30/0.54 (step-pop @p188 :rule scope :premises (@p187)) % 0.30/0.54 (step-pop @p189 :rule scope :premises (@p188)) % 0.30/0.54 (step-pop @p190 :rule scope :premises (@p189)) % 0.30/0.54 (step @p116 :rule process_scope :premises (@p190) :args (@t27)) % 0.30/0.54 (step @p121 :rule implies_elim :premises (@p116)) % 0.30/0.54 (step @p122 :rule resolution :premises (@p121 @p106) :args (true @t27)) % 0.30/0.54 (step @p123 :rule not_and :premises (@p122)) % 0.30/0.54 (step @p124 :rule eq_resolve :premises (@p123 @p89)) % 0.30/0.54 (step @p125 :rule reordering :premises (@p124) :args ((or @t21 @t23 @t13 @t22))) % 0.30/0.54 (step @p126 :rule chain_m_resolution :premises (@p125 @p84 @p66 @p40 @p30 @p28 @p26 @p24) :args (@t13 (@list true false false false false false false) (@list @t21 @t19 @t16 @t15 @t8 @t9 @t10))) % 0.30/0.54 (step @p127 :rule equiv_elim2 :premises (@p22)) % 0.30/0.54 (step @p128 :rule chain_m_resolution :premises (@p127 @p126) :args (@t14 (@list true) (@list @t11))) % 0.30/0.54 (step @p129 :rule bool-double-not-elim :args (@t16)) % 0.30/0.54 (step @p130 :rule bool-double-not-elim :args (@t11)) % 0.30/0.54 (step @p131 :rule nary_cong :premises (@p87 @p85 @p130 @p129) :args ((or @t23 @t25 (not @t13) (not @t22)))) % 0.30/0.54 (assume-push @p191 @t19) % 0.30/0.54 (assume-push @p192 @t13) % 0.30/0.54 (assume-push @p193 @t22) % 0.30/0.54 (assume-push @p194 @t24) % 0.30/0.54 (step @p94 :rule evaluate :args (@t26)) % 0.30/0.54 (step @p95 :rule true_intro :premises (@p66)) % 0.30/0.54 (step @p136 :rule false_intro :premises (@p192)) % 0.30/0.54 (step @p137 :rule symm :premises (@p136)) % 0.30/0.54 (step @p138 :rule false_intro :premises (@p193)) % 0.30/0.54 (step @p139 :rule trans :premises (@p138 @p137)) % 0.30/0.54 (step @p100 :rule refl :args (@t18)) % 0.30/0.54 (step @p140 :rule cong :premises (@p100 @p139) :args (@t21)) % 0.30/0.54 (step @p102 :rule false_intro :premises (@p84)) % 0.30/0.54 (step @p103 :rule symm :premises (@p102)) % 0.30/0.54 (step @p141 :rule trans :premises (@p103 @p140 @p95)) % 0.30/0.54 (step @p142 false :rule eq_resolve :premises (@p141 @p94)) % 0.30/0.54 (step-pop @p195 :rule scope :premises (@p142)) % 0.30/0.54 (step-pop @p196 :rule scope :premises (@p195)) % 0.30/0.54 (step-pop @p197 :rule scope :premises (@p196)) % 0.30/0.54 (step-pop @p198 :rule scope :premises (@p197)) % 0.30/0.54 (step @p143 :rule process_scope :premises (@p198) :args (false)) % 0.30/0.54 (assume-push @p199 @t19) % 0.30/0.54 (assume-push @p200 @t24) % 0.30/0.54 (assume-push @p201 @t13) % 0.30/0.54 (assume-push @p202 @t22) % 0.30/0.54 (step @p152 :rule and_intro :premises (@p66 @p201 @p202 @p84)) % 0.30/0.54 (step-pop @p203 :rule scope :premises (@p152)) % 0.30/0.54 (step-pop @p204 :rule scope :premises (@p203)) % 0.30/0.54 (step-pop @p205 :rule scope :premises (@p204)) % 0.30/0.54 (step-pop @p206 :rule scope :premises (@p205)) % 0.30/0.54 (step @p153 :rule process_scope :premises (@p206) :args (@t28)) % 0.30/0.54 (step @p158 :rule implies_elim :premises (@p153)) % 0.30/0.54 (step @p159 :rule resolution :premises (@p158 @p143) :args (true @t28)) % 0.30/0.54 (step @p160 :rule not_and :premises (@p159)) % 0.30/0.54 (step @p161 :rule eq_resolve :premises (@p160 @p131)) % 0.30/0.54 (step @p162 :rule reordering :premises (@p161) :args ((or @t11 @t16 @t21 @t23))) % 0.30/0.54 (step @p163 :rule chain_m_resolution :premises (@p162 @p126 @p84 @p66) :args (@t16 (@list true true false) (@list @t11 @t21 @t19))) % 0.30/0.54 (step @p164 :rule equiv_elim1 :premises (@p39)) % 0.30/0.54 (step @p165 :rule reordering :premises (@p164) :args ((or @t15 @t22))) % 0.30/0.54 (step @p166 :rule chain_m_resolution :premises (@p165 @p163) :args (@t15 @t29 (@list @t16))) % 0.30/0.54 (step @p167 :rule cnf_and_pos :args (@t15 0)) % 0.30/0.54 (step @p168 :rule reordering :premises (@p167) :args ((or @t8 @t30))) % 0.30/0.54 (step @p169 :rule chain_m_resolution :premises (@p168 @p166) :args (@t8 @t29 @t31)) % 0.30/0.54 (step @p170 :rule cnf_and_pos :args (@t15 1)) % 0.30/0.54 (step @p171 :rule reordering :premises (@p170) :args ((or @t9 @t30))) % 0.30/0.54 (step @p172 :rule chain_m_resolution :premises (@p171 @p166) :args (@t9 @t29 @t31)) % 0.30/0.54 (step @p173 :rule cnf_and_neg :args (@t10)) % 0.30/0.54 (step @p174 false :rule chain_m_resolution :premises (@p173 @p172 @p169 @p128) :args (false (@list false false true) (@list @t9 @t8 @t10))) % 0.30/0.54 ) % 0.30/0.54 % SZS output end Proof % 0.30/0.54 % cvc5 exiting %------------------------------------------------------------------------------