%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS174+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:29:04 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : KRS174+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n016.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 05:29:09 EDT 2026 % 0.16/0.35 % CPUTime : % 0.36/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.ib $$unsorted) % 0.36/0.57 (declare-const tptp.ia $$unsorted) % 0.36/0.57 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.cB (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.cA_and_B (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.cA (-> $$unsorted Bool)) % 0.36/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.57 (define @t2 () (@var "A" $$unsorted)) % 0.36/0.57 (define @t3 () (= @t2 @t1)) % 0.36/0.57 (define @t4 () (@list @t2 @t1)) % 0.36/0.57 (define @t5 () (@var "X" $$unsorted)) % 0.36/0.57 (define @t6 () (not (tptp.cowlNothing @t5))) % 0.36/0.57 (define @t7 () (tptp.cowlThing @t5)) % 0.36/0.57 (define @t8 () (@list @t5)) % 0.36/0.57 (define @t9 () (forall @t8 (and @t7 @t6))) % 0.36/0.57 (define @t10 () (forall @t8 (= (tptp.xsd_string @t5) (not (tptp.xsd_integer @t5))))) % 0.36/0.57 (define @t11 () (= @t5 tptp.ia)) % 0.36/0.57 (define @t12 () (tptp.cA @t5)) % 0.36/0.57 (define @t13 () (forall @t8 (= @t12 @t11))) % 0.36/0.57 (define @t14 () (= @t5 tptp.ib)) % 0.36/0.57 (define @t15 () (tptp.cA_and_B @t5)) % 0.36/0.57 (define @t16 () (forall @t8 (= @t15 (or @t14 @t11)))) % 0.36/0.57 (define @t17 () (tptp.cB @t5)) % 0.36/0.57 (define @t18 () (forall @t8 (= @t17 @t14))) % 0.36/0.57 (define @t19 () (forall @t8 (= @t15 (or @t17 @t12)))) % 0.36/0.57 (define @t20 () (and @t9 @t10 @t19)) % 0.36/0.57 (define @t21 () (not @t20)) % 0.36/0.57 (define @t22 () (forall @t8 @t6)) % 0.36/0.57 (define @t23 () (@list @t5)) % 0.36/0.57 (define @t24 () (@var "BOUND_VARIABLE_7581" $$unsorted)) % 0.36/0.57 (define @t25 () (forall @t8 @t7)) % 0.36/0.57 (define @t26 () (@var "BOUND_VARIABLE_7576" $$unsorted)) % 0.36/0.57 (define @t27 () (and @t25 @t22)) % 0.36/0.57 (define @t28 () (forall (@list @t24) (not (tptp.cowlNothing @t24)))) % 0.36/0.57 (define @t29 () (forall (@list @t26) (tptp.cowlThing @t26))) % 0.36/0.57 (define @t30 () (not @t19)) % 0.36/0.57 (define @t31 () (@quantifiers_skolemize @t19 0)) % 0.36/0.57 (define @t32 () (tptp.cA @t31)) % 0.36/0.57 (define @t33 () (= @t31 tptp.ia)) % 0.36/0.57 (define @t34 () (= @t32 @t33)) % 0.36/0.57 (define @t35 () (@list @t31)) % 0.36/0.57 (define @t36 () (= tptp.ia @t31)) % 0.36/0.57 (define @t37 () (= @t32 @t36)) % 0.36/0.57 (define @t38 () (@list false)) % 0.36/0.57 (define @t39 () (not @t37)) % 0.36/0.57 (define @t40 () (tptp.cB @t31)) % 0.36/0.57 (define @t41 () (or @t40 @t32)) % 0.36/0.57 (define @t42 () (tptp.cA_and_B @t31)) % 0.36/0.57 (define @t43 () (= @t42 @t41)) % 0.36/0.57 (define @t44 () (= @t31 tptp.ib)) % 0.36/0.57 (define @t45 () (or @t44 @t33)) % 0.36/0.57 (define @t46 () (= @t42 @t45)) % 0.36/0.57 (define @t47 () (= tptp.ib @t31)) % 0.36/0.57 (define @t48 () (or @t47 @t36)) % 0.36/0.57 (define @t49 () (= @t42 @t48)) % 0.36/0.57 (define @t50 () (not @t49)) % 0.36/0.57 (define @t51 () (not @t48)) % 0.36/0.57 (define @t52 () (forall @t8 (= @t14 @t17))) % 0.36/0.57 (define @t53 () (= @t44 @t40)) % 0.36/0.57 (define @t54 () (= @t40 @t47)) % 0.36/0.57 (define @t55 () (not @t54)) % 0.36/0.57 (define @t56 () (@list false false)) % 0.36/0.57 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cA @t2)) (tptp.cA @t1)))) % 0.36/0.57 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cA_and_B @t2)) (tptp.cA_and_B @t1)))) % 0.36/0.57 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cB @t2)) (tptp.cB @t1)))) % 0.36/0.57 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.36/0.57 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.36/0.57 (assume @p6 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.36/0.57 (assume @p7 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.36/0.57 (assume @p8 @t9) % 0.36/0.57 (assume @p9 @t10) % 0.36/0.57 (assume @p10 @t13) % 0.36/0.57 (assume @p11 @t16) % 0.36/0.57 (assume @p12 @t18) % 0.36/0.57 (assume @p13 (tptp.cowlThing tptp.ia)) % 0.36/0.57 (assume @p14 (tptp.cowlThing tptp.ib)) % 0.36/0.57 (assume @p15 @t21) % 0.36/0.57 (assume @p16 true) % 0.36/0.57 (step @p17 :rule alpha_equiv :args (@t22 @t23 (@list @t24))) % 0.36/0.57 (step @p18 :rule alpha_equiv :args (@t25 @t23 (@list @t26))) % 0.36/0.57 (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t27)) % 0.36/0.57 (step @p20 :rule quant-miniscope-and :args ((= @t9 @t27))) % 0.36/0.57 (step @p21 :rule trans :premises (@p20 @p19)) % 0.36/0.57 (step @p22 :rule eq_resolve :premises (@p8 @p21)) % 0.36/0.57 (step @p23 :rule and_elim :premises (@p22) :args (1)) % 0.36/0.57 (step @p24 :rule and_elim :premises (@p22) :args (0)) % 0.36/0.57 (step @p25 :rule aci_norm :args ((= (and (and @t29 @t28) @t10 @t19) (and @t10 @t19 @t29 @t28)))) % 0.36/0.57 (step @p26 :rule refl :args (@t19)) % 0.36/0.57 (step @p27 :rule refl :args (@t10)) % 0.36/0.57 (step @p28 :rule nary_cong :premises (@p21 @p27 @p26) :args (@t20)) % 0.36/0.57 (step @p29 :rule trans :premises (@p28 @p25)) % 0.36/0.57 (step @p30 :rule cong :premises (@p29) :args (@t21)) % 0.36/0.57 (step @p31 :rule eq_resolve :premises (@p15 @p30)) % 0.36/0.57 (step @p32 :rule not_and :premises (@p31)) % 0.36/0.57 (step @p33 :rule reordering :premises (@p32) :args ((or (not @t29) (not @t28) (not @t10) @t30))) % 0.36/0.57 (step @p34 :rule chain_m_resolution :premises (@p33 @p24 @p23 @p9) :args (@t30 (@list false false false) (@list @t29 @t28 @t10))) % 0.36/0.57 (step @p35 :rule skolemize :premises (@p34)) % 0.36/0.57 (step @p36 :rule eq-symm :args (@t31 tptp.ia)) % 0.36/0.57 (step @p37 :rule refl :args (@t32)) % 0.36/0.57 (step @p38 :rule cong :premises (@p37 @p36) :args (@t34)) % 0.36/0.57 (step @p39 :rule refl :args (@t13)) % 0.36/0.57 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t13 @t34))) % 0.36/0.57 (assume-push @p107 @t13) % 0.36/0.57 (step @p42 :rule instantiate :premises (@p10) :args (@t35)) % 0.36/0.57 (step-pop @p108 :rule scope :premises (@p42)) % 0.36/0.57 (step @p43 :rule process_scope :premises (@p108) :args (@t34)) % 0.36/0.57 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 0.36/0.57 (step @p46 :rule implies_elim :premises (@p45)) % 0.36/0.57 (step @p47 :rule chain_m_resolution :premises (@p46 @p10) :args (@t37 @t38 (@list @t13))) % 0.36/0.57 (step @p48 :rule cnf_equiv_pos1 :args (@t37)) % 0.36/0.57 (step @p49 :rule reordering :premises (@p48) :args ((or (not @t32) @t36 @t39))) % 0.36/0.57 (step @p50 :rule cnf_equiv_neg1 :args (@t43)) % 0.36/0.57 (step @p51 :rule reordering :premises (@p50) :args ((or @t42 @t41 @t43))) % 0.36/0.57 (step @p52 :rule eq-symm :args (@t31 tptp.ib)) % 0.36/0.57 (step @p53 :rule nary_cong :premises (@p52 @p36) :args (@t45)) % 0.36/0.57 (step @p54 :rule refl :args (@t42)) % 0.36/0.57 (step @p55 :rule cong :premises (@p54 @p53) :args (@t46)) % 0.36/0.57 (step @p56 :rule refl :args (@t16)) % 0.36/0.57 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t16 @t46))) % 0.36/0.57 (assume-push @p109 @t16) % 0.36/0.57 (step @p59 :rule instantiate :premises (@p11) :args (@t35)) % 0.36/0.57 (step-pop @p110 :rule scope :premises (@p59)) % 0.36/0.57 (step @p60 :rule process_scope :premises (@p110) :args (@t46)) % 0.36/0.57 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 0.36/0.57 (step @p63 :rule implies_elim :premises (@p62)) % 0.36/0.57 (step @p64 :rule chain_m_resolution :premises (@p63 @p11) :args (@t49 @t38 (@list @t16))) % 0.36/0.57 (step @p65 :rule cnf_equiv_pos2 :args (@t49)) % 0.36/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t42 @t51 @t50))) % 0.36/0.57 (step @p67 :rule cnf_or_pos :args (@t41)) % 0.36/0.57 (step @p68 :rule reordering :premises (@p67) :args ((or @t40 @t32 (not @t41)))) % 0.36/0.57 (step @p69 :rule cnf_or_neg :args (@t48 0)) % 0.36/0.57 (step @p70 :rule eq-symm :args (@t17 @t14)) % 0.36/0.57 (step @p71 :rule cong :premises (@p70) :args (@t18)) % 0.36/0.57 (step @p72 :rule eq_resolve :premises (@p12 @p71)) % 0.36/0.57 (step @p73 :rule refl :args (@t40)) % 0.36/0.57 (step @p74 :rule cong :premises (@p73 @p52) :args ((= @t40 @t44))) % 0.36/0.57 (step @p75 :rule eq-symm :args (@t44 @t40)) % 0.36/0.57 (step @p76 :rule trans :premises (@p75 @p74)) % 0.36/0.57 (step @p77 :rule refl :args (@t52)) % 0.36/0.57 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t52 @t53))) % 0.36/0.57 (assume-push @p111 @t52) % 0.36/0.57 (step @p80 :rule instantiate :premises (@p72) :args (@t35)) % 0.36/0.57 (step-pop @p112 :rule scope :premises (@p80)) % 0.36/0.57 (step @p81 :rule process_scope :premises (@p112) :args (@t53)) % 0.36/0.57 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.36/0.57 (step @p84 :rule implies_elim :premises (@p83)) % 0.36/0.57 (step @p85 :rule chain_m_resolution :premises (@p84 @p72) :args (@t54 @t38 (@list @t52))) % 0.36/0.57 (step @p86 :rule cnf_equiv_pos1 :args (@t54)) % 0.36/0.57 (step @p87 :rule reordering :premises (@p86) :args ((or (not @t40) @t47 @t55))) % 0.36/0.57 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p69 @p68 @p66 @p64 @p51 @p35) :args ((or @t42 @t32) (@list false true false true false false true) (@list @t54 @t47 @t40 @t48 @t49 @t41 @t43))) % 0.36/0.57 (step @p89 :rule cnf_equiv_neg2 :args (@t43)) % 0.36/0.57 (step @p90 :rule cnf_equiv_pos1 :args (@t49)) % 0.36/0.57 (step @p91 :rule reordering :premises (@p90) :args ((or (not @t42) @t48 @t50))) % 0.36/0.57 (step @p92 :rule cnf_or_neg :args (@t41 0)) % 0.36/0.57 (step @p93 :rule cnf_or_pos :args (@t48)) % 0.36/0.57 (step @p94 :rule reordering :premises (@p93) :args ((or @t36 @t47 @t51))) % 0.36/0.57 (step @p95 :rule cnf_equiv_pos2 :args (@t54)) % 0.36/0.57 (step @p96 :rule reordering :premises (@p95) :args ((or @t40 (not @t47) @t55))) % 0.36/0.57 (step @p97 :rule chain_m_resolution :premises (@p96 @p85 @p94 @p92 @p91 @p64 @p89 @p35 @p88 @p49 @p47) :args (@t36 (@list false false true false false true true false true false) (@list @t54 @t47 @t40 @t48 @t49 @t41 @t43 @t42 @t32 @t37))) % 0.36/0.57 (step @p98 :rule cnf_equiv_pos2 :args (@t37)) % 0.36/0.57 (step @p99 :rule reordering :premises (@p98) :args ((or @t32 (not @t36) @t39))) % 0.36/0.57 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p47) :args (@t32 @t56 (@list @t36 @t37))) % 0.36/0.57 (step @p101 :rule cnf_or_neg :args (@t41 1)) % 0.36/0.57 (step @p102 :rule chain_m_resolution :premises (@p101 @p100) :args (@t41 @t38 (@list @t32))) % 0.36/0.57 (step @p103 :rule cnf_or_neg :args (@t48 1)) % 0.36/0.57 (step @p104 :rule chain_m_resolution :premises (@p103 @p97) :args (@t48 @t38 (@list @t36))) % 0.36/0.57 (step @p105 :rule chain_m_resolution :premises (@p66 @p104 @p64) :args (@t42 @t56 (@list @t48 @t49))) % 0.36/0.57 (step @p106 false :rule chain_m_resolution :premises (@p89 @p105 @p102 @p35) :args (false (@list false false true) (@list @t42 @t41 @t43))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------