%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS130+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 : n002.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 08:28:59 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS130+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 % 0.18/0.35 % Computer : n002.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 05:28:18 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.cNothing (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.rp (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.39/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.56 (define @t2 () (tptp.cowlNothing @t1)) % 0.39/0.56 (define @t3 () (not @t2)) % 0.39/0.56 (define @t4 () (tptp.cowlThing @t1)) % 0.39/0.56 (define @t5 () (@list @t1)) % 0.39/0.56 (define @t6 () (forall @t5 (and @t4 @t3))) % 0.39/0.56 (define @t7 () (forall @t5 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.39/0.56 (define @t8 () (@var "Y" $$unsorted)) % 0.39/0.56 (define @t9 () (tptp.rp @t1 @t8)) % 0.39/0.56 (define @t10 () (@list @t8)) % 0.39/0.56 (define @t11 () (exists @t10 @t9)) % 0.39/0.56 (define @t12 () (not @t11)) % 0.39/0.56 (define @t13 () (tptp.cNothing @t1)) % 0.39/0.56 (define @t14 () (=> @t13 @t12)) % 0.39/0.57 (define @t15 () (forall @t5 @t14)) % 0.39/0.57 (define @t16 () (@var "Y0" $$unsorted)) % 0.39/0.57 (define @t17 () (tptp.rp @t1 @t16)) % 0.39/0.57 (define @t18 () (@list @t16)) % 0.39/0.57 (define @t19 () (exists @t18 @t17)) % 0.39/0.57 (define @t20 () (=> @t13 @t19)) % 0.39/0.57 (define @t21 () (forall @t5 @t20)) % 0.39/0.57 (define @t22 () (forall @t5 (= @t13 @t2))) % 0.39/0.57 (define @t23 () (and @t6 @t7 @t22)) % 0.39/0.57 (define @t24 () (not @t23)) % 0.39/0.57 (define @t25 () (not (forall @t18 (not @t17)))) % 0.39/0.57 (define @t26 () (forall @t5 (= @t2 @t13))) % 0.39/0.57 (define @t27 () (@quantifiers_skolemize @t26 0)) % 0.39/0.57 (define @t28 () (@list @t27)) % 0.39/0.57 (define @t29 () (forall @t5 @t3)) % 0.39/0.57 (define @t30 () (@list @t1)) % 0.39/0.57 (define @t31 () (@var "BOUND_VARIABLE_7450" $$unsorted)) % 0.39/0.57 (define @t32 () (forall @t5 @t4)) % 0.39/0.57 (define @t33 () (@var "BOUND_VARIABLE_7445" $$unsorted)) % 0.39/0.57 (define @t34 () (and @t32 @t29)) % 0.39/0.57 (define @t35 () (forall (@list @t31) (not (tptp.cowlNothing @t31)))) % 0.39/0.57 (define @t36 () (forall (@list @t33) (tptp.cowlThing @t33))) % 0.39/0.57 (define @t37 () (not @t26)) % 0.39/0.57 (define @t38 () (tptp.cNothing @t27)) % 0.39/0.57 (define @t39 () (tptp.cowlNothing @t27)) % 0.39/0.57 (define @t40 () (= @t39 @t38)) % 0.39/0.57 (define @t41 () (@list true true)) % 0.39/0.57 (define @t42 () (forall @t18 (not (tptp.rp @t27 @t16)))) % 0.39/0.57 (define @t43 () (not @t42)) % 0.39/0.57 (define @t44 () (not @t38)) % 0.39/0.57 (define @t45 () (or @t44 @t43)) % 0.39/0.57 (define @t46 () (@list false false)) % 0.39/0.57 (define @t47 () (@var "BOUND_VARIABLE_7467" $$unsorted)) % 0.39/0.57 (define @t48 () (not (tptp.rp @t1 @t47))) % 0.39/0.57 (define @t49 () (not @t13)) % 0.39/0.57 (define @t50 () (or @t49 @t48)) % 0.39/0.57 (define @t51 () (@list @t47)) % 0.39/0.57 (define @t52 () (forall @t51 @t50)) % 0.39/0.57 (define @t53 () (forall @t51 @t48)) % 0.39/0.57 (define @t54 () (or @t49 @t53)) % 0.39/0.57 (define @t55 () (forall @t10 (not @t9))) % 0.39/0.57 (define @t56 () (@quantifiers_skolemize @t42 0)) % 0.39/0.57 (define @t57 () (tptp.rp @t27 @t56)) % 0.39/0.57 (define @t58 () (not @t57)) % 0.39/0.57 (define @t59 () (or @t44 @t58)) % 0.39/0.57 (define @t60 () (not @t58)) % 0.39/0.57 (assume @p1 @t6) % 0.39/0.57 (assume @p2 @t7) % 0.39/0.57 (assume @p3 @t15) % 0.39/0.57 (assume @p4 @t21) % 0.39/0.57 (assume @p5 @t24) % 0.39/0.57 (assume @p6 true) % 0.39/0.57 (step @p7 :rule bool-impl-elim :args (@t13 @t25)) % 0.39/0.57 (step @p8 :rule cong :premises (@p7) :args ((forall @t5 (=> @t13 @t25)))) % 0.39/0.57 (step @p9 :rule exists-elim :args ((= @t19 @t25))) % 0.39/0.57 (step @p10 :rule refl :args (@t13)) % 0.39/0.57 (step @p11 :rule cong :premises (@p10 @p9) :args (@t20)) % 0.39/0.57 (step @p12 :rule cong :premises (@p11) :args (@t21)) % 0.39/0.57 (step @p13 :rule trans :premises (@p12 @p8)) % 0.39/0.57 (step @p14 :rule eq_resolve :premises (@p4 @p13)) % 0.39/0.57 (step @p15 :rule instantiate :premises (@p14) :args (@t28)) % 0.39/0.57 (step @p16 :rule alpha_equiv :args (@t29 @t30 (@list @t31))) % 0.39/0.57 (step @p17 :rule alpha_equiv :args (@t32 @t30 (@list @t33))) % 0.39/0.57 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t34)) % 0.39/0.57 (step @p19 :rule quant-miniscope-and :args ((= @t6 @t34))) % 0.39/0.57 (step @p20 :rule trans :premises (@p19 @p18)) % 0.39/0.57 (step @p21 :rule eq_resolve :premises (@p1 @p20)) % 0.39/0.57 (step @p22 :rule and_elim :premises (@p21) :args (1)) % 0.39/0.57 (step @p23 :rule and_elim :premises (@p21) :args (0)) % 0.39/0.57 (step @p24 :rule aci_norm :args ((= (and (and @t36 @t35) @t7 @t26) (and @t7 @t26 @t36 @t35)))) % 0.39/0.57 (step @p25 :rule eq-symm :args (@t13 @t2)) % 0.39/0.57 (step @p26 :rule cong :premises (@p25) :args (@t22)) % 0.39/0.57 (step @p27 :rule refl :args (@t7)) % 0.39/0.57 (step @p28 :rule nary_cong :premises (@p20 @p27 @p26) :args (@t23)) % 0.39/0.57 (step @p29 :rule trans :premises (@p28 @p24)) % 0.39/0.57 (step @p30 :rule cong :premises (@p29) :args (@t24)) % 0.39/0.57 (step @p31 :rule eq_resolve :premises (@p5 @p30)) % 0.39/0.57 (step @p32 :rule not_and :premises (@p31)) % 0.39/0.57 (step @p33 :rule reordering :premises (@p32) :args ((or (not @t36) (not @t35) (not @t7) @t37))) % 0.39/0.57 (step @p34 :rule chain_m_resolution :premises (@p33 @p23 @p22 @p2) :args (@t37 (@list false false false) (@list @t36 @t35 @t7))) % 0.39/0.57 (step @p35 :rule skolemize :premises (@p34)) % 0.39/0.57 (step @p36 :rule instantiate :premises (@p22) :args (@t28)) % 0.39/0.57 (step @p37 :rule cnf_equiv_neg1 :args (@t40)) % 0.39/0.57 (step @p38 :rule reordering :premises (@p37) :args ((or @t39 @t38 @t40))) % 0.39/0.57 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p35) :args (@t38 @t41 (@list @t39 @t40))) % 0.39/0.57 (step @p40 :rule cnf_or_pos :args (@t45)) % 0.39/0.57 (step @p41 :rule reordering :premises (@p40) :args ((or @t44 @t43 (not @t45)))) % 0.39/0.57 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p15) :args (@t43 @t46 (@list @t38 @t45))) % 0.39/0.57 (step @p43 :rule quant-merge-prenex :args ((= (forall @t5 @t52) (forall (@list @t1 @t47) @t50)))) % 0.39/0.57 (step @p44 :rule alpha_equiv :args (@t53 (@list @t47) (@list @t8))) % 0.39/0.57 (step @p45 :rule refl :args (@t49)) % 0.39/0.57 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t54)) % 0.39/0.57 (step @p47 :rule quant-miniscope-or :args ((= @t52 @t54))) % 0.39/0.57 (step @p48 :rule trans :premises (@p47 @p46)) % 0.39/0.57 (step @p49 :rule symm :premises (@p48)) % 0.39/0.57 (step @p50 :rule cong :premises (@p49) :args ((forall @t5 (or @t49 @t55)))) % 0.39/0.57 (step @p51 :rule trans :premises (@p50 @p43)) % 0.39/0.57 (step @p52 :rule bool-impl-elim :args (@t13 @t55)) % 0.39/0.57 (step @p53 :rule cong :premises (@p52) :args ((forall @t5 (=> @t13 @t55)))) % 0.39/0.57 (step @p54 :rule trans :premises (@p53 @p51)) % 0.39/0.57 (step @p55 :rule bool-double-not-elim :args (@t55)) % 0.39/0.57 (step @p56 :rule exists-elim :args ((= @t11 (not @t55)))) % 0.39/0.57 (step @p57 :rule cong :premises (@p56) :args (@t12)) % 0.39/0.57 (step @p58 :rule trans :premises (@p57 @p55)) % 0.39/0.57 (step @p59 :rule cong :premises (@p10 @p58) :args (@t14)) % 0.39/0.57 (step @p60 :rule cong :premises (@p59) :args (@t15)) % 0.39/0.57 (step @p61 :rule trans :premises (@p60 @p54)) % 0.39/0.57 (step @p62 :rule eq_resolve :premises (@p3 @p61)) % 0.39/0.57 (step @p63 :rule instantiate :premises (@p62) :args ((@list @t27 @t56))) % 0.39/0.57 (step @p64 :rule cnf_or_pos :args (@t59)) % 0.39/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t44 @t58 (not @t59)))) % 0.39/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p39 @p63) :args (@t58 @t46 (@list @t38 @t59))) % 0.39/0.57 (step @p67 :rule refl :args (@t57)) % 0.39/0.57 (step @p68 :rule bool-double-not-elim :args (@t42)) % 0.39/0.57 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or (not @t43) @t57))) % 0.39/0.57 (step @p70 :rule bool-double-not-elim :args (@t57)) % 0.39/0.57 (step @p71 :rule refl :args (@t43)) % 0.39/0.57 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t43 @t60))) % 0.39/0.57 (assume-push @p81 @t43) % 0.39/0.57 (step @p74 :rule skolemize :premises (@p42)) % 0.39/0.57 (step-pop @p82 :rule scope :premises (@p74)) % 0.39/0.57 (step @p75 :rule process_scope :premises (@p82) :args (@t60)) % 0.39/0.57 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 0.39/0.57 (step @p78 :rule implies_elim :premises (@p77)) % 0.39/0.57 (step @p79 :rule eq_resolve :premises (@p78 @p69)) % 0.39/0.57 (step @p80 false :rule chain_m_resolution :premises (@p79 @p66 @p42) :args (false @t41 (@list @t57 @t42))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------