%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS139+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 : 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 08:29:00 AM UTC 2026 % Result : Theorem 0.31s 0.56s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS139+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 % 0.16/0.34 % Computer : n016.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 : Tue Jun 2 05:28:39 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.56 % SZS status Theorem % 0.31/0.56 % SZS output start Proof % 0.31/0.56 ( % 0.31/0.56 (declare-sort $$unsorted 0) % 0.31/0.56 (declare-const tptp.iGhent $$unsorted) % 0.31/0.56 (declare-const tptp.iAntwerp $$unsorted) % 0.31/0.56 (declare-const tptp.rpath (-> $$unsorted $$unsorted Bool)) % 0.31/0.56 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.31/0.56 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.31/0.56 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.31/0.56 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.31/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.31/0.56 (define @t2 () (not (tptp.cowlNothing @t1))) % 0.31/0.56 (define @t3 () (tptp.cowlThing @t1)) % 0.31/0.56 (define @t4 () (@list @t1)) % 0.31/0.56 (define @t5 () (forall @t4 (and @t3 @t2))) % 0.31/0.56 (define @t6 () (forall @t4 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.31/0.56 (define @t7 () (@var "Y" $$unsorted)) % 0.31/0.56 (define @t8 () (tptp.rpath @t7 @t1)) % 0.31/0.56 (define @t9 () (tptp.rpath @t1 @t7)) % 0.31/0.56 (define @t10 () (@list @t1 @t7)) % 0.31/0.56 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.31/0.56 (define @t12 () (tptp.cowlThing tptp.iAntwerp)) % 0.31/0.56 (define @t13 () (tptp.cowlThing tptp.iGhent)) % 0.31/0.56 (define @t14 () (tptp.rpath tptp.iGhent tptp.iAntwerp)) % 0.31/0.56 (define @t15 () (tptp.rpath tptp.iAntwerp tptp.iGhent)) % 0.31/0.56 (define @t16 () (and @t5 @t6 @t12 @t15 @t13)) % 0.31/0.56 (define @t17 () (not @t16)) % 0.31/0.56 (define @t18 () (forall @t4 @t2)) % 0.31/0.56 (define @t19 () (@list @t1)) % 0.31/0.56 (define @t20 () (@var "BOUND_VARIABLE_7445" $$unsorted)) % 0.31/0.56 (define @t21 () (forall @t4 @t3)) % 0.31/0.56 (define @t22 () (@var "BOUND_VARIABLE_7440" $$unsorted)) % 0.31/0.56 (define @t23 () (and @t21 @t18)) % 0.31/0.56 (define @t24 () (forall (@list @t20) (not (tptp.cowlNothing @t20)))) % 0.31/0.56 (define @t25 () (forall (@list @t22) (tptp.cowlThing @t22))) % 0.31/0.56 (define @t26 () (not @t15)) % 0.31/0.56 (define @t27 () (not @t14)) % 0.31/0.56 (define @t28 () (or @t27 @t15)) % 0.31/0.56 (define @t29 () (not @t28)) % 0.31/0.56 (define @t30 () (@list true false)) % 0.31/0.56 (define @t31 () (forall @t10 (or (not @t9) @t8))) % 0.31/0.56 (assume @p1 @t5) % 0.31/0.56 (assume @p2 @t6) % 0.31/0.56 (assume @p3 @t11) % 0.31/0.56 (assume @p4 @t12) % 0.31/0.56 (assume @p5 @t13) % 0.31/0.56 (assume @p6 @t14) % 0.31/0.56 (assume @p7 @t17) % 0.31/0.56 (assume @p8 true) % 0.31/0.56 (step @p9 :rule bool-impl-elim :args (@t9 @t8)) % 0.31/0.56 (step @p10 :rule cong :premises (@p9) :args (@t11)) % 0.31/0.56 (step @p11 :rule eq_resolve :premises (@p3 @p10)) % 0.31/0.56 (step @p12 :rule alpha_equiv :args (@t18 @t19 (@list @t20))) % 0.31/0.56 (step @p13 :rule alpha_equiv :args (@t21 @t19 (@list @t22))) % 0.31/0.56 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t23)) % 0.31/0.56 (step @p15 :rule quant-miniscope-and :args ((= @t5 @t23))) % 0.31/0.56 (step @p16 :rule trans :premises (@p15 @p14)) % 0.31/0.56 (step @p17 :rule eq_resolve :premises (@p1 @p16)) % 0.31/0.56 (step @p18 :rule and_elim :premises (@p17) :args (1)) % 0.31/0.56 (step @p19 :rule and_elim :premises (@p17) :args (0)) % 0.31/0.56 (step @p20 :rule aci_norm :args ((= (and (and @t25 @t24) @t6 @t12 @t15 @t13) (and @t6 @t12 @t15 @t13 @t25 @t24)))) % 0.31/0.56 (step @p21 :rule refl :args (@t13)) % 0.31/0.56 (step @p22 :rule refl :args (@t15)) % 0.31/0.56 (step @p23 :rule refl :args (@t12)) % 0.31/0.56 (step @p24 :rule refl :args (@t6)) % 0.31/0.56 (step @p25 :rule nary_cong :premises (@p16 @p24 @p23 @p22 @p21) :args (@t16)) % 0.31/0.56 (step @p26 :rule trans :premises (@p25 @p20)) % 0.31/0.56 (step @p27 :rule cong :premises (@p26) :args (@t17)) % 0.31/0.56 (step @p28 :rule eq_resolve :premises (@p7 @p27)) % 0.31/0.56 (step @p29 :rule not_and :premises (@p28)) % 0.31/0.56 (step @p30 :rule reordering :premises (@p29) :args ((or (not @t25) (not @t24) (not @t6) (not @t12) (not @t13) @t26))) % 0.31/0.56 (step @p31 :rule chain_m_resolution :premises (@p30 @p19 @p18 @p2 @p4 @p5) :args (@t26 (@list false false false false false) (@list @t25 @t24 @t6 @t12 @t13))) % 0.31/0.56 (step @p32 :rule cnf_or_pos :args (@t28)) % 0.31/0.56 (step @p33 :rule reordering :premises (@p32) :args ((or @t15 @t27 @t29))) % 0.31/0.56 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p6) :args (@t29 @t30 (@list @t15 @t14))) % 0.31/0.56 (assume-push @p41 @t31) % 0.31/0.56 (step @p36 :rule instantiate :premises (@p11) :args ((@list tptp.iGhent tptp.iAntwerp))) % 0.31/0.56 (step-pop @p42 :rule scope :premises (@p36)) % 0.31/0.56 (step @p37 :rule process_scope :premises (@p42) :args (@t28)) % 0.31/0.56 (step @p39 :rule implies_elim :premises (@p37)) % 0.31/0.56 (step @p40 false :rule chain_m_resolution :premises (@p39 @p34 @p11) :args (false @t30 (@list @t28 @t31))) % 0.31/0.56 ) % 0.31/0.56 % SZS output end Proof % 0.31/0.56 % cvc5 exiting %------------------------------------------------------------------------------