%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS141+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:29:00 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 : KRS141+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.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 : Tue Jun 2 05:28:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.50 %----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 $$unsorted 0) % 0.39/0.56 (declare-const tptp.ii $$unsorted) % 0.39/0.56 (declare-const tptp.cr (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.xsd_string (-> $$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.io $$unsorted) % 0.39/0.56 (declare-const tptp.cc (-> $$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 () (not (tptp.cowlNothing @t1))) % 0.39/0.56 (define @t3 () (tptp.cowlThing @t1)) % 0.39/0.56 (define @t4 () (@list @t1)) % 0.39/0.56 (define @t5 () (forall @t4 (and @t3 @t2))) % 0.39/0.56 (define @t6 () (forall @t4 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.39/0.56 (define @t7 () (@var "Y" $$unsorted)) % 0.39/0.56 (define @t8 () (tptp.cc @t7)) % 0.39/0.56 (define @t9 () (tptp.rp @t1 @t7)) % 0.39/0.56 (define @t10 () (@list @t7)) % 0.39/0.56 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.39/0.56 (define @t12 () (tptp.cr @t1)) % 0.39/0.56 (define @t13 () (=> @t12 @t11)) % 0.39/0.56 (define @t14 () (forall @t4 @t13)) % 0.39/0.56 (define @t15 () (tptp.cr tptp.ii)) % 0.39/0.56 (define @t16 () (tptp.rp tptp.ii tptp.io)) % 0.39/0.56 (define @t17 () (tptp.cowlThing tptp.io)) % 0.39/0.56 (define @t18 () (tptp.cc tptp.io)) % 0.39/0.56 (define @t19 () (and @t5 @t6 @t18 @t17)) % 0.39/0.56 (define @t20 () (not @t19)) % 0.39/0.56 (define @t21 () (@var "BOUND_VARIABLE_7467" $$unsorted)) % 0.39/0.56 (define @t22 () (tptp.cc @t21)) % 0.39/0.56 (define @t23 () (not (tptp.rp @t1 @t21))) % 0.39/0.56 (define @t24 () (not @t12)) % 0.39/0.56 (define @t25 () (or @t24 @t23 @t22)) % 0.39/0.56 (define @t26 () (or @t23 @t22)) % 0.39/0.56 (define @t27 () (or @t24 @t26)) % 0.39/0.56 (define @t28 () (@list @t1 @t21)) % 0.39/0.56 (define @t29 () (forall @t28 @t27)) % 0.39/0.56 (define @t30 () (@list @t21)) % 0.39/0.56 (define @t31 () (forall @t30 @t27)) % 0.39/0.56 (define @t32 () (forall @t30 @t26)) % 0.39/0.56 (define @t33 () (or @t24 @t32)) % 0.39/0.56 (define @t34 () (forall @t10 (or (not @t9) @t8))) % 0.39/0.56 (define @t35 () (forall @t4 @t2)) % 0.39/0.56 (define @t36 () (@list @t1)) % 0.39/0.56 (define @t37 () (@var "BOUND_VARIABLE_7451" $$unsorted)) % 0.39/0.56 (define @t38 () (forall @t4 @t3)) % 0.39/0.56 (define @t39 () (@var "BOUND_VARIABLE_7446" $$unsorted)) % 0.39/0.56 (define @t40 () (and @t38 @t35)) % 0.39/0.56 (define @t41 () (forall (@list @t37) (not (tptp.cowlNothing @t37)))) % 0.39/0.56 (define @t42 () (forall (@list @t39) (tptp.cowlThing @t39))) % 0.39/0.56 (define @t43 () (not @t18)) % 0.39/0.56 (define @t44 () (not @t16)) % 0.39/0.56 (define @t45 () (not @t15)) % 0.39/0.56 (define @t46 () (or @t45 @t44 @t18)) % 0.39/0.56 (define @t47 () (not @t46)) % 0.39/0.56 (define @t48 () (forall @t28 @t25)) % 0.39/0.56 (assume @p1 @t5) % 0.39/0.56 (assume @p2 @t6) % 0.39/0.56 (assume @p3 @t14) % 0.39/0.56 (assume @p4 @t15) % 0.39/0.56 (assume @p5 (tptp.cowlThing tptp.ii)) % 0.39/0.56 (assume @p6 @t16) % 0.39/0.56 (assume @p7 @t17) % 0.39/0.56 (assume @p8 @t20) % 0.39/0.56 (assume @p9 true) % 0.39/0.56 (step @p10 :rule aci_norm :args ((= @t27 @t25))) % 0.39/0.56 (step @p11 :rule cong :premises (@p10) :args (@t29)) % 0.39/0.56 (step @p12 :rule quant-merge-prenex :args ((= (forall @t4 @t31) @t29))) % 0.39/0.56 (step @p13 :rule alpha_equiv :args (@t32 (@list @t21) (@list @t7))) % 0.39/0.56 (step @p14 :rule refl :args (@t24)) % 0.39/0.56 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t33)) % 0.39/0.56 (step @p16 :rule quant-miniscope-or :args ((= @t31 @t33))) % 0.39/0.56 (step @p17 :rule trans :premises (@p16 @p15)) % 0.39/0.56 (step @p18 :rule symm :premises (@p17)) % 0.39/0.56 (step @p19 :rule cong :premises (@p18) :args ((forall @t4 (or @t24 @t34)))) % 0.39/0.56 (step @p20 :rule trans :premises (@p19 @p12)) % 0.39/0.56 (step @p21 :rule trans :premises (@p20 @p11)) % 0.39/0.56 (step @p22 :rule bool-impl-elim :args (@t12 @t34)) % 0.39/0.56 (step @p23 :rule cong :premises (@p22) :args ((forall @t4 (=> @t12 @t34)))) % 0.39/0.56 (step @p24 :rule trans :premises (@p23 @p21)) % 0.39/0.56 (step @p25 :rule bool-impl-elim :args (@t9 @t8)) % 0.39/0.56 (step @p26 :rule cong :premises (@p25) :args (@t11)) % 0.39/0.56 (step @p27 :rule refl :args (@t12)) % 0.39/0.56 (step @p28 :rule cong :premises (@p27 @p26) :args (@t13)) % 0.39/0.56 (step @p29 :rule cong :premises (@p28) :args (@t14)) % 0.39/0.56 (step @p30 :rule trans :premises (@p29 @p24)) % 0.39/0.56 (step @p31 :rule eq_resolve :premises (@p3 @p30)) % 0.39/0.56 (step @p32 :rule alpha_equiv :args (@t35 @t36 (@list @t37))) % 0.39/0.56 (step @p33 :rule alpha_equiv :args (@t38 @t36 (@list @t39))) % 0.39/0.56 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t40)) % 0.39/0.56 (step @p35 :rule quant-miniscope-and :args ((= @t5 @t40))) % 0.39/0.56 (step @p36 :rule trans :premises (@p35 @p34)) % 0.39/0.56 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 0.39/0.56 (step @p38 :rule and_elim :premises (@p37) :args (1)) % 0.39/0.56 (step @p39 :rule and_elim :premises (@p37) :args (0)) % 0.39/0.56 (step @p40 :rule aci_norm :args ((= (and (and @t42 @t41) @t6 @t18 @t17) (and @t6 @t18 @t17 @t42 @t41)))) % 0.39/0.56 (step @p41 :rule refl :args (@t17)) % 0.39/0.56 (step @p42 :rule refl :args (@t18)) % 0.39/0.56 (step @p43 :rule refl :args (@t6)) % 0.39/0.56 (step @p44 :rule nary_cong :premises (@p36 @p43 @p42 @p41) :args (@t19)) % 0.39/0.56 (step @p45 :rule trans :premises (@p44 @p40)) % 0.39/0.56 (step @p46 :rule cong :premises (@p45) :args (@t20)) % 0.39/0.56 (step @p47 :rule eq_resolve :premises (@p8 @p46)) % 0.39/0.56 (step @p48 :rule not_and :premises (@p47)) % 0.39/0.56 (step @p49 :rule reordering :premises (@p48) :args ((or (not @t42) (not @t41) (not @t6) (not @t17) @t43))) % 0.39/0.56 (step @p50 :rule chain_m_resolution :premises (@p49 @p39 @p38 @p2 @p7) :args (@t43 (@list false false false false) (@list @t42 @t41 @t6 @t17))) % 0.39/0.56 (step @p51 :rule cnf_or_pos :args (@t46)) % 0.39/0.56 (step @p52 :rule reordering :premises (@p51) :args ((or @t18 @t45 @t44 @t47))) % 0.39/0.56 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p4 @p6) :args (@t47 (@list true false false) (@list @t18 @t15 @t16))) % 0.39/0.56 (assume-push @p60 @t48) % 0.39/0.56 (step @p55 :rule instantiate :premises (@p31) :args ((@list tptp.ii tptp.io))) % 0.39/0.56 (step-pop @p61 :rule scope :premises (@p55)) % 0.39/0.56 (step @p56 :rule process_scope :premises (@p61) :args (@t46)) % 0.39/0.56 (step @p58 :rule implies_elim :premises (@p56)) % 0.39/0.56 (step @p59 false :rule chain_m_resolution :premises (@p58 @p53 @p31) :args (false (@list true false) (@list @t46 @t48))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------