%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS137+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 : n003.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 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS137+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 : n003.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 05:27:59 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.icar $$unsorted) % 0.31/0.55 (declare-const tptp.cCar (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.cAutomobile (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.iauto $$unsorted) % 0.31/0.55 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.31/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.31/0.55 (define @t2 () (not (tptp.cowlNothing @t1))) % 0.31/0.55 (define @t3 () (tptp.cowlThing @t1)) % 0.31/0.55 (define @t4 () (@list @t1)) % 0.31/0.55 (define @t5 () (forall @t4 (and @t3 @t2))) % 0.31/0.55 (define @t6 () (forall @t4 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.31/0.55 (define @t7 () (forall @t4 (= (tptp.cCar @t1) (tptp.cAutomobile @t1)))) % 0.31/0.55 (define @t8 () (tptp.cowlThing tptp.iauto)) % 0.31/0.55 (define @t9 () (tptp.cAutomobile tptp.iauto)) % 0.31/0.55 (define @t10 () (tptp.cowlThing tptp.icar)) % 0.31/0.55 (define @t11 () (tptp.cCar tptp.icar)) % 0.31/0.55 (define @t12 () (tptp.cAutomobile tptp.icar)) % 0.31/0.55 (define @t13 () (tptp.cCar tptp.iauto)) % 0.31/0.55 (define @t14 () (and @t5 @t6 @t13 @t8 @t10 @t12)) % 0.31/0.55 (define @t15 () (not @t14)) % 0.31/0.55 (define @t16 () (forall @t4 @t2)) % 0.31/0.55 (define @t17 () (@list @t1)) % 0.31/0.55 (define @t18 () (@var "BOUND_VARIABLE_7445" $$unsorted)) % 0.31/0.55 (define @t19 () (forall @t4 @t3)) % 0.31/0.55 (define @t20 () (@var "BOUND_VARIABLE_7440" $$unsorted)) % 0.31/0.55 (define @t21 () (and @t19 @t16)) % 0.31/0.55 (define @t22 () (= @t13 @t9)) % 0.31/0.55 (define @t23 () (= @t9 @t13)) % 0.31/0.55 (define @t24 () (@list false false)) % 0.31/0.55 (define @t25 () (= @t11 @t12)) % 0.31/0.55 (define @t26 () (forall (@list @t18) (not (tptp.cowlNothing @t18)))) % 0.31/0.55 (define @t27 () (forall (@list @t20) (tptp.cowlThing @t20))) % 0.31/0.55 (assume @p1 @t5) % 0.31/0.55 (assume @p2 @t6) % 0.31/0.55 (assume @p3 @t7) % 0.31/0.55 (assume @p4 @t8) % 0.31/0.55 (assume @p5 @t9) % 0.31/0.55 (assume @p6 @t10) % 0.31/0.55 (assume @p7 @t11) % 0.31/0.55 (assume @p8 @t15) % 0.31/0.55 (assume @p9 true) % 0.31/0.55 (step @p10 :rule alpha_equiv :args (@t16 @t17 (@list @t18))) % 0.31/0.55 (step @p11 :rule alpha_equiv :args (@t19 @t17 (@list @t20))) % 0.31/0.55 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t21)) % 0.31/0.55 (step @p13 :rule quant-miniscope-and :args ((= @t5 @t21))) % 0.31/0.55 (step @p14 :rule trans :premises (@p13 @p12)) % 0.31/0.55 (step @p15 :rule eq_resolve :premises (@p1 @p14)) % 0.31/0.55 (step @p16 :rule and_elim :premises (@p15) :args (0)) % 0.31/0.55 (step @p17 :rule and_elim :premises (@p15) :args (1)) % 0.31/0.55 (step @p18 :rule eq-symm :args (@t13 @t9)) % 0.31/0.55 (step @p19 :rule refl :args (@t7)) % 0.31/0.55 (step @p20 :rule cong :premises (@p19 @p18) :args ((=> @t7 @t22))) % 0.31/0.55 (assume-push @p48 @t7) % 0.31/0.55 (step @p22 :rule instantiate :premises (@p3) :args ((@list tptp.iauto))) % 0.31/0.55 (step-pop @p49 :rule scope :premises (@p22)) % 0.31/0.55 (step @p23 :rule process_scope :premises (@p49) :args (@t22)) % 0.31/0.55 (step @p25 :rule eq_resolve :premises (@p23 @p20)) % 0.31/0.55 (step @p26 :rule implies_elim :premises (@p25)) % 0.31/0.55 (step @p27 :rule chain_m_resolution :premises (@p26 @p3) :args (@t23 (@list false) (@list @t7))) % 0.31/0.55 (step @p28 :rule cnf_equiv_pos1 :args (@t23)) % 0.31/0.55 (step @p29 :rule reordering :premises (@p28) :args ((or @t13 (not @t9) (not @t23)))) % 0.31/0.55 (step @p30 :rule chain_m_resolution :premises (@p29 @p5 @p27) :args (@t13 @t24 (@list @t9 @t23))) % 0.31/0.55 (step @p31 :rule instantiate :premises (@p3) :args ((@list tptp.icar))) % 0.31/0.55 (step @p32 :rule cnf_equiv_pos1 :args (@t25)) % 0.31/0.55 (step @p33 :rule reordering :premises (@p32) :args ((or @t12 (not @t11) (not @t25)))) % 0.31/0.55 (step @p34 :rule chain_m_resolution :premises (@p33 @p7 @p31) :args (@t12 @t24 (@list @t11 @t25))) % 0.31/0.55 (step @p35 :rule aci_norm :args ((= (and (and @t27 @t26) @t6 @t13 @t8 @t10 @t12) (and @t6 @t13 @t8 @t10 @t12 @t27 @t26)))) % 0.31/0.55 (step @p36 :rule refl :args (@t12)) % 0.31/0.55 (step @p37 :rule refl :args (@t10)) % 0.31/0.55 (step @p38 :rule refl :args (@t8)) % 0.31/0.55 (step @p39 :rule refl :args (@t13)) % 0.31/0.55 (step @p40 :rule refl :args (@t6)) % 0.31/0.55 (step @p41 :rule nary_cong :premises (@p14 @p40 @p39 @p38 @p37 @p36) :args (@t14)) % 0.31/0.55 (step @p42 :rule trans :premises (@p41 @p35)) % 0.31/0.55 (step @p43 :rule cong :premises (@p42) :args (@t15)) % 0.31/0.55 (step @p44 :rule eq_resolve :premises (@p8 @p43)) % 0.31/0.55 (step @p45 :rule not_and :premises (@p44)) % 0.31/0.55 (step @p46 :rule reordering :premises (@p45) :args ((or (not @t27) (not @t26) (not @t6) (not @t8) (not @t10) (not @t13) (not @t12)))) % 0.31/0.56 (step @p47 false :rule chain_m_resolution :premises (@p46 @p34 @p30 @p6 @p4 @p2 @p17 @p16) :args (false (@list false false false false false false false) (@list @t12 @t13 @t10 @t8 @t6 @t26 @t27))) % 0.31/0.56 ) % 0.31/0.56 % SZS output end Proof % 0.31/0.56 % cvc5 exiting %------------------------------------------------------------------------------