%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR124^1 : 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 : n028.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 08:13:01 AM UTC 2026 % Result : Theorem 0.32s 0.55s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR124^1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 21:57:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.49 %----Proving TH0 % 0.32/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.55 % SZS status Theorem % 0.32/0.55 % SZS output start Proof % 0.32/0.55 ( % 0.32/0.55 (declare-sort $$unsorted 0) % 0.32/0.55 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.32/0.55 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 0.32/0.55 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 0.32/0.55 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.32/0.55 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.32/0.55 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.32/0.55 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.32/0.55 (define @t1 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.32/0.55 (define @t2 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.32/0.55 (define @t3 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.32/0.55 (define @t4 () (_ tptp.holdsDuring_THFTYPE_IiooI @t3)) % 0.32/0.55 (define @t5 () (and @t1 @t2)) % 0.32/0.55 (define @t6 () (not (_ @t4 @t5))) % 0.32/0.55 (define @t7 () (@purify @t2)) % 0.32/0.55 (define @t8 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.32/0.55 (define @t9 () (tptp.holdsDuring_THFTYPE_IiooI @t8 @t7)) % 0.32/0.55 (define @t10 () (_ tptp.holdsDuring_THFTYPE_IiooI @t8)) % 0.32/0.55 (define @t11 () (= @t2 @t7)) % 0.32/0.55 (define @t12 () (@purify @t5)) % 0.32/0.55 (define @t13 () (tptp.holdsDuring_THFTYPE_IiooI @t8 @t12)) % 0.32/0.55 (define @t14 () (= @t5 @t12)) % 0.32/0.55 (define @t15 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.32/0.55 (define @t16 () (not @t7)) % 0.32/0.55 (define @t17 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.32/0.55 (define @t18 () (and @t17 @t15)) % 0.32/0.55 (define @t19 () (not @t12)) % 0.32/0.55 (define @t20 () (not @t9)) % 0.32/0.55 (define @t21 () (not @t13)) % 0.32/0.55 (define @t22 () (not @t21)) % 0.32/0.55 (define @t23 () (= false true)) % 0.32/0.55 (define @t24 () (and @t9 @t7 @t12 @t21)) % 0.32/0.55 (define @t25 () (@list true)) % 0.32/0.55 (define @t26 () (not @t18)) % 0.32/0.55 (define @t27 () (and @t9 @t16 @t19 @t21)) % 0.32/0.55 (assume @p1 @t1) % 0.32/0.55 (assume @p2 (_ @t4 @t2)) % 0.32/0.55 (assume @p3 @t6) % 0.32/0.55 (assume @p4 true) % 0.32/0.55 (step @p5 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t7))) % 0.32/0.55 (step @p6 :rule refl :args (@t7)) % 0.32/0.55 (step @p7 :rule refl :args (@t8)) % 0.32/0.55 (step @p8 :rule cong :premises (@p7 @p6) :args (@t9)) % 0.32/0.55 (step @p9 :rule trans :premises (@p8 @p5)) % 0.32/0.55 (step @p10 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.32/0.55 (step @p11 :rule ho_cong :premises (@p10 @p7)) % 0.32/0.55 (step @p12 :rule ho_cong :premises (@p11 @p6)) % 0.32/0.55 (step @p13 :rule cong :premises (@p12 @p9) :args ((= (_ @t10 @t7) @t9))) % 0.32/0.55 (step @p14 :rule symm :premises (@p13)) % 0.32/0.55 (step @p15 :rule refl :args ((_ @t4 @t7))) % 0.32/0.55 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.32/0.55 (step @p17 :rule eq-refl :args (@t2)) % 0.32/0.55 (step @p18 :rule skolem_intro :args (@t7)) % 0.32/0.55 (step @p19 :rule refl :args (@t2)) % 0.32/0.55 (step @p20 :rule cong :premises (@p19 @p18) :args (@t11)) % 0.32/0.55 (step @p21 :rule trans :premises (@p20 @p17)) % 0.32/0.55 (step @p22 :rule true_elim :premises (@p21)) % 0.32/0.55 (step @p23 :rule refl :args (@t3)) % 0.32/0.55 (step @p24 :rule cong :premises (@p23 @p7) :args ((= @t3 @t8))) % 0.32/0.55 (step @p25 :rule symm :premises (@p24)) % 0.32/0.55 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.32/0.55 (step @p27 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.32/0.55 (step @p28 :rule ho_cong :premises (@p27 @p26)) % 0.32/0.55 (step @p29 :rule ho_cong :premises (@p28 @p22)) % 0.32/0.55 (step @p30 :rule trans :premises (@p29 @p16)) % 0.32/0.55 (step @p31 :rule eq_resolve :premises (@p2 @p30)) % 0.32/0.55 (step @p32 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t12))) % 0.32/0.55 (step @p33 :rule refl :args (@t12)) % 0.32/0.55 (step @p34 :rule cong :premises (@p7 @p33) :args (@t13)) % 0.32/0.55 (step @p35 :rule trans :premises (@p34 @p32)) % 0.32/0.55 (step @p36 :rule ho_cong :premises (@p11 @p33)) % 0.32/0.55 (step @p37 :rule cong :premises (@p36 @p35) :args ((= (_ @t10 @t12) @t13))) % 0.32/0.55 (step @p38 :rule symm :premises (@p37)) % 0.32/0.55 (step @p39 :rule refl :args ((_ @t4 @t12))) % 0.32/0.55 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.32/0.55 (step @p41 :rule eq-refl :args (@t5)) % 0.32/0.55 (step @p42 :rule skolem_intro :args (@t12)) % 0.32/0.55 (step @p43 :rule refl :args (@t5)) % 0.32/0.55 (step @p44 :rule cong :premises (@p43 @p42) :args (@t14)) % 0.32/0.55 (step @p45 :rule trans :premises (@p44 @p41)) % 0.32/0.55 (step @p46 :rule true_elim :premises (@p45)) % 0.32/0.55 (step @p47 :rule ho_cong :premises (@p28 @p46)) % 0.32/0.55 (step @p48 :rule trans :premises (@p47 @p40)) % 0.32/0.55 (step @p49 :rule cong :premises (@p48) :args (@t6)) % 0.32/0.55 (step @p50 :rule eq_resolve :premises (@p3 @p49)) % 0.32/0.55 (step @p51 :rule eq-symm :args (@t15 @t7)) % 0.32/0.55 (step @p52 :rule refl :args (@t7)) % 0.32/0.55 (step @p53 :rule refl :args (@t15)) % 0.32/0.55 (step @p54 :rule refl :args (@t2)) % 0.32/0.55 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t2 @t15))) % 0.32/0.55 (step @p56 :rule symm :premises (@p55)) % 0.32/0.55 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.32/0.55 (step @p58 :rule cong :premises (@p57 @p52) :args (@t11)) % 0.32/0.55 (step @p59 :rule trans :premises (@p58 @p51)) % 0.32/0.55 (step @p60 :rule eq-symm :args (@t7 @t2)) % 0.32/0.55 (step @p61 :rule trans :premises (@p60 @p59)) % 0.32/0.55 (step @p62 :rule eq_resolve :premises (@p18 @p61)) % 0.32/0.55 (step @p63 :rule equiv_elim1 :premises (@p62)) % 0.32/0.55 (step @p64 :rule reordering :premises (@p63) :args ((or @t15 @t16))) % 0.32/0.55 (step @p65 :rule refl :args (@t17)) % 0.32/0.55 (step @p66 :rule refl :args (@t1)) % 0.32/0.55 (step @p67 :rule cong :premises (@p66 @p65) :args ((= @t1 @t17))) % 0.32/0.55 (step @p68 :rule symm :premises (@p67)) % 0.32/0.55 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 0.32/0.55 (step @p70 :rule eq_resolve :premises (@p1 @p69)) % 0.32/0.55 (step @p71 :rule cnf_and_neg :args (@t18)) % 0.32/0.55 (step @p72 :rule eq-symm :args (@t18 @t12)) % 0.32/0.55 (step @p73 :rule refl :args (@t12)) % 0.32/0.55 (step @p74 :rule nary_cong :premises (@p69 @p57) :args (@t5)) % 0.32/0.55 (step @p75 :rule cong :premises (@p74 @p73) :args (@t14)) % 0.32/0.55 (step @p76 :rule trans :premises (@p75 @p72)) % 0.32/0.55 (step @p77 :rule eq-symm :args (@t12 @t5)) % 0.32/0.55 (step @p78 :rule trans :premises (@p77 @p76)) % 0.32/0.55 (step @p79 :rule eq_resolve :premises (@p42 @p78)) % 0.32/0.55 (step @p80 :rule equiv_elim2 :premises (@p79)) % 0.32/0.55 (step @p81 :rule bool-double-not-elim :args (@t13)) % 0.32/0.55 (step @p82 :rule refl :args (@t19)) % 0.32/0.55 (step @p83 :rule refl :args (@t20)) % 0.32/0.55 (step @p84 :rule refl :args (@t16)) % 0.32/0.55 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82 @p81) :args ((or @t16 @t20 @t19 @t22))) % 0.32/0.55 (assume-push @p166 @t9) % 0.32/0.55 (assume-push @p167 @t7) % 0.32/0.55 (assume-push @p168 @t12) % 0.32/0.55 (assume-push @p169 @t21) % 0.32/0.55 (step @p90 :rule evaluate :args (@t23)) % 0.32/0.55 (step @p91 :rule true_intro :premises (@p31)) % 0.32/0.55 (step @p92 :rule true_intro :premises (@p167)) % 0.32/0.55 (step @p93 :rule symm :premises (@p92)) % 0.32/0.55 (step @p94 :rule true_intro :premises (@p168)) % 0.32/0.55 (step @p95 :rule trans :premises (@p94 @p93)) % 0.32/0.55 (step @p96 :rule refl :args (@t8)) % 0.32/0.55 (step @p97 :rule cong :premises (@p96 @p95) :args (@t13)) % 0.32/0.55 (step @p98 :rule false_intro :premises (@p50)) % 0.32/0.55 (step @p99 :rule symm :premises (@p98)) % 0.32/0.55 (step @p100 :rule trans :premises (@p99 @p97 @p91)) % 0.32/0.55 (step @p101 false :rule eq_resolve :premises (@p100 @p90)) % 0.32/0.55 (step-pop @p170 :rule scope :premises (@p101)) % 0.32/0.55 (step-pop @p171 :rule scope :premises (@p170)) % 0.32/0.55 (step-pop @p172 :rule scope :premises (@p171)) % 0.32/0.55 (step-pop @p173 :rule scope :premises (@p172)) % 0.32/0.55 (step @p102 :rule process_scope :premises (@p173) :args (false)) % 0.32/0.55 (assume-push @p174 @t7) % 0.32/0.55 (assume-push @p175 @t9) % 0.32/0.55 (assume-push @p176 @t12) % 0.32/0.55 (assume-push @p177 @t21) % 0.32/0.55 (step @p111 :rule and_intro :premises (@p31 @p174 @p176 @p50)) % 0.32/0.55 (step-pop @p178 :rule scope :premises (@p111)) % 0.32/0.55 (step-pop @p179 :rule scope :premises (@p178)) % 0.32/0.55 (step-pop @p180 :rule scope :premises (@p179)) % 0.32/0.55 (step-pop @p181 :rule scope :premises (@p180)) % 0.32/0.55 (step @p112 :rule process_scope :premises (@p181) :args (@t24)) % 0.32/0.55 (step @p117 :rule implies_elim :premises (@p112)) % 0.32/0.55 (step @p118 :rule resolution :premises (@p117 @p102) :args (true @t24)) % 0.32/0.55 (step @p119 :rule not_and :premises (@p118)) % 0.32/0.55 (step @p120 :rule eq_resolve :premises (@p119 @p85)) % 0.32/0.55 (step @p121 :rule reordering :premises (@p120) :args ((or @t13 @t20 @t16 @t19))) % 0.32/0.55 (step @p122 :rule chain_m_resolution :premises (@p121 @p50 @p31 @p80 @p71 @p70 @p64) :args (@t16 (@list true false false false false false) (@list @t13 @t9 @t12 @t18 @t17 @t15))) % 0.32/0.55 (step @p123 :rule equiv_elim2 :premises (@p62)) % 0.32/0.55 (step @p124 :rule chain_m_resolution :premises (@p123 @p122) :args ((not @t15) @t25 (@list @t7))) % 0.32/0.55 (step @p125 :rule cnf_and_pos :args (@t18 1)) % 0.32/0.55 (step @p126 :rule reordering :premises (@p125) :args ((or @t15 @t26))) % 0.32/0.55 (step @p127 :rule chain_m_resolution :premises (@p126 @p124) :args (@t26 @t25 (@list @t15))) % 0.32/0.55 (step @p128 :rule equiv_elim1 :premises (@p79)) % 0.32/0.55 (step @p129 :rule reordering :premises (@p128) :args ((or @t18 @t19))) % 0.32/0.55 (step @p130 :rule chain_m_resolution :premises (@p129 @p127) :args (@t19 @t25 (@list @t18))) % 0.32/0.55 (step @p131 :rule bool-double-not-elim :args (@t12)) % 0.32/0.55 (step @p132 :rule bool-double-not-elim :args (@t7)) % 0.32/0.55 (step @p133 :rule nary_cong :premises (@p83 @p81 @p132 @p131) :args ((or @t20 @t22 (not @t16) (not @t19)))) % 0.32/0.55 (assume-push @p182 @t9) % 0.32/0.55 (assume-push @p183 @t16) % 0.32/0.55 (assume-push @p184 @t19) % 0.32/0.55 (assume-push @p185 @t21) % 0.32/0.55 (step @p90 :rule evaluate :args (@t23)) % 0.32/0.55 (step @p91 :rule true_intro :premises (@p31)) % 0.32/0.55 (step @p138 :rule false_intro :premises (@p183)) % 0.32/0.55 (step @p139 :rule symm :premises (@p138)) % 0.32/0.55 (step @p140 :rule false_intro :premises (@p184)) % 0.32/0.55 (step @p141 :rule trans :premises (@p140 @p139)) % 0.32/0.55 (step @p96 :rule refl :args (@t8)) % 0.32/0.55 (step @p142 :rule cong :premises (@p96 @p141) :args (@t13)) % 0.32/0.55 (step @p98 :rule false_intro :premises (@p50)) % 0.32/0.55 (step @p99 :rule symm :premises (@p98)) % 0.32/0.55 (step @p143 :rule trans :premises (@p99 @p142 @p91)) % 0.32/0.55 (step @p144 false :rule eq_resolve :premises (@p143 @p90)) % 0.32/0.55 (step-pop @p186 :rule scope :premises (@p144)) % 0.32/0.55 (step-pop @p187 :rule scope :premises (@p186)) % 0.32/0.55 (step-pop @p188 :rule scope :premises (@p187)) % 0.32/0.55 (step-pop @p189 :rule scope :premises (@p188)) % 0.32/0.55 (step @p145 :rule process_scope :premises (@p189) :args (false)) % 0.32/0.55 (assume-push @p190 @t9) % 0.32/0.55 (assume-push @p191 @t21) % 0.32/0.55 (assume-push @p192 @t16) % 0.32/0.55 (assume-push @p193 @t19) % 0.32/0.55 (step @p154 :rule and_intro :premises (@p31 @p192 @p193 @p50)) % 0.32/0.55 (step-pop @p194 :rule scope :premises (@p154)) % 0.32/0.55 (step-pop @p195 :rule scope :premises (@p194)) % 0.32/0.55 (step-pop @p196 :rule scope :premises (@p195)) % 0.32/0.55 (step-pop @p197 :rule scope :premises (@p196)) % 0.32/0.55 (step @p155 :rule process_scope :premises (@p197) :args (@t27)) % 0.32/0.55 (step @p160 :rule implies_elim :premises (@p155)) % 0.32/0.55 (step @p161 :rule resolution :premises (@p160 @p145) :args (true @t27)) % 0.32/0.55 (step @p162 :rule not_and :premises (@p161)) % 0.32/0.55 (step @p163 :rule eq_resolve :premises (@p162 @p133)) % 0.32/0.55 (step @p164 :rule reordering :premises (@p163) :args ((or @t7 @t12 @t13 @t20))) % 0.32/0.55 (step @p165 false :rule chain_m_resolution :premises (@p164 @p130 @p122 @p50 @p31) :args (false (@list true true true false) (@list @t12 @t7 @t13 @t9))) % 0.32/0.55 ) % 0.32/0.55 % SZS output end Proof % 0.32/0.55 % cvc5 exiting %------------------------------------------------------------------------------