%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS063+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 08:28:51 AM UTC 2026 % Result : Unsatisfiable 0.28s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS063+1 : TPTP v9.2.1. Released v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 05:27:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.55 % SZS status Unsatisfiable % 0.28/0.55 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.iKinnock $$unsorted) % 0.37/0.56 (declare-const tptp.iPT $$unsorted) % 0.37/0.56 (declare-const tptp.iBE $$unsorted) % 0.37/0.56 (declare-const tptp.iNL $$unsorted) % 0.37/0.56 (declare-const tptp.cEuroMP (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.cEuropeanCountry (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.cPerson (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.rhasEuroMP (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.risEuroMPFrom (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.cEUCountry (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.iFR $$unsorted) % 0.37/0.56 (declare-const tptp.iUK $$unsorted) % 0.37/0.56 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.iES $$unsorted) % 0.37/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.56 (define @t3 () (= @t2 @t1)) % 0.37/0.56 (define @t4 () (@list @t2 @t1)) % 0.37/0.56 (define @t5 () (@var "C" $$unsorted)) % 0.37/0.56 (define @t6 () (@list @t2 @t1 @t5)) % 0.37/0.56 (define @t7 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t8 () (not (tptp.cowlNothing @t7))) % 0.37/0.56 (define @t9 () (tptp.cowlThing @t7)) % 0.37/0.56 (define @t10 () (@list @t7)) % 0.37/0.56 (define @t11 () (forall @t10 (and @t9 @t8))) % 0.37/0.56 (define @t12 () (tptp.cEUCountry @t7)) % 0.37/0.56 (define @t13 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t14 () (tptp.cowlThing @t13)) % 0.37/0.56 (define @t15 () (tptp.risEuroMPFrom @t7 @t13)) % 0.37/0.56 (define @t16 () (and @t15 @t14)) % 0.37/0.56 (define @t17 () (@list @t13)) % 0.37/0.56 (define @t18 () (exists @t17 @t16)) % 0.37/0.56 (define @t19 () (tptp.cEuroMP @t7)) % 0.37/0.56 (define @t20 () (= @t19 @t18)) % 0.37/0.56 (define @t21 () (forall @t10 @t20)) % 0.37/0.56 (define @t22 () (@list @t7 @t13)) % 0.37/0.56 (define @t23 () (forall @t22 (= @t15 (tptp.rhasEuroMP @t13 @t7)))) % 0.37/0.56 (define @t24 () (tptp.cEuroMP tptp.iKinnock)) % 0.37/0.56 (define @t25 () (tptp.rhasEuroMP tptp.iUK tptp.iKinnock)) % 0.37/0.56 (define @t26 () (forall @t10 @t8)) % 0.37/0.56 (define @t27 () (@list @t7)) % 0.37/0.56 (define @t28 () (forall @t10 @t9)) % 0.37/0.56 (define @t29 () (@var "BOUND_VARIABLE_7691" $$unsorted)) % 0.37/0.56 (define @t30 () (and @t28 @t26)) % 0.37/0.56 (define @t31 () (forall @t17 (not @t16))) % 0.37/0.56 (define @t32 () (not @t31)) % 0.37/0.56 (define @t33 () (forall @t17 (or (not (tptp.risEuroMPFrom tptp.iKinnock @t13)) (not @t14)))) % 0.37/0.56 (define @t34 () (not @t33)) % 0.37/0.56 (define @t35 () (= @t24 @t34)) % 0.37/0.56 (define @t36 () (not @t35)) % 0.37/0.56 (define @t37 () (@list true false)) % 0.37/0.56 (define @t38 () (@list tptp.iUK)) % 0.37/0.56 (define @t39 () (tptp.risEuroMPFrom tptp.iKinnock tptp.iUK)) % 0.37/0.56 (define @t40 () (= @t39 @t25)) % 0.37/0.56 (define @t41 () (= @t25 @t39)) % 0.37/0.56 (define @t42 () (@list false false)) % 0.37/0.56 (define @t43 () (tptp.cowlThing tptp.iUK)) % 0.37/0.56 (define @t44 () (not @t43)) % 0.37/0.56 (define @t45 () (not @t39)) % 0.37/0.56 (define @t46 () (or @t45 @t44)) % 0.37/0.56 (define @t47 () (forall (@list @t29) (tptp.cowlThing @t29))) % 0.37/0.56 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cEUCountry @t2)) (tptp.cEUCountry @t1)))) % 0.37/0.56 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cEuroMP @t2)) (tptp.cEuroMP @t1)))) % 0.37/0.56 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cEuropeanCountry @t2)) (tptp.cEuropeanCountry @t1)))) % 0.37/0.56 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cPerson @t2)) (tptp.cPerson @t1)))) % 0.37/0.56 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.37/0.56 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.37/0.56 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rhasEuroMP @t2 @t5)) (tptp.rhasEuroMP @t1 @t5)))) % 0.37/0.56 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rhasEuroMP @t5 @t2)) (tptp.rhasEuroMP @t5 @t1)))) % 0.37/0.56 (assume @p9 (forall @t6 (=> (and @t3 (tptp.risEuroMPFrom @t2 @t5)) (tptp.risEuroMPFrom @t1 @t5)))) % 0.37/0.56 (assume @p10 (forall @t6 (=> (and @t3 (tptp.risEuroMPFrom @t5 @t2)) (tptp.risEuroMPFrom @t5 @t1)))) % 0.37/0.56 (assume @p11 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.37/0.56 (assume @p12 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.37/0.56 (assume @p13 @t11) % 0.37/0.56 (assume @p14 (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.37/0.56 (assume @p15 (forall @t10 (= @t12 (or (= @t7 tptp.iPT) (= @t7 tptp.iBE) (= @t7 tptp.iNL) (= @t7 tptp.iES) (= @t7 tptp.iFR) (= @t7 tptp.iUK))))) % 0.37/0.56 (assume @p16 @t21) % 0.37/0.56 (assume @p17 (forall @t22 (=> (tptp.rhasEuroMP @t7 @t13) @t12))) % 0.37/0.56 (assume @p18 @t23) % 0.37/0.56 (assume @p19 (tptp.cEuropeanCountry tptp.iBE)) % 0.37/0.56 (assume @p20 (tptp.cEuropeanCountry tptp.iES)) % 0.37/0.56 (assume @p21 (tptp.cEuropeanCountry tptp.iFR)) % 0.37/0.56 (assume @p22 (tptp.cPerson tptp.iKinnock)) % 0.37/0.56 (assume @p23 (not @t24)) % 0.37/0.56 (assume @p24 (tptp.cEuropeanCountry tptp.iNL)) % 0.37/0.56 (assume @p25 (tptp.cEuropeanCountry tptp.iPT)) % 0.37/0.56 (assume @p26 (tptp.cEuropeanCountry tptp.iUK)) % 0.37/0.56 (assume @p27 @t25) % 0.37/0.56 (step @p28 :rule alpha_equiv :args (@t26 @t27 (@list (@var "BOUND_VARIABLE_7696" $$unsorted)))) % 0.37/0.56 (step @p29 :rule alpha_equiv :args (@t28 @t27 (@list @t29))) % 0.37/0.56 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t30)) % 0.37/0.56 (step @p31 :rule quant-miniscope-and :args ((= @t11 @t30))) % 0.37/0.56 (step @p32 :rule trans :premises (@p31 @p30)) % 0.37/0.56 (step @p33 :rule eq_resolve :premises (@p13 @p32)) % 0.37/0.56 (step @p34 :rule and_elim :premises (@p33) :args (0)) % 0.37/0.56 (step @p35 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.37/0.56 (step @p36 :rule cong :premises (@p35) :args (@t31)) % 0.37/0.56 (step @p37 :rule cong :premises (@p36) :args (@t32)) % 0.37/0.56 (step @p38 :rule exists-elim :args ((= @t18 @t32))) % 0.37/0.56 (step @p39 :rule trans :premises (@p38 @p37)) % 0.37/0.56 (step @p40 :rule refl :args (@t19)) % 0.37/0.56 (step @p41 :rule cong :premises (@p40 @p39) :args (@t20)) % 0.37/0.56 (step @p42 :rule cong :premises (@p41) :args (@t21)) % 0.37/0.56 (step @p43 :rule eq_resolve :premises (@p16 @p42)) % 0.37/0.56 (step @p44 :rule instantiate :premises (@p43) :args ((@list tptp.iKinnock))) % 0.37/0.56 (step @p45 :rule bool-double-not-elim :args (@t33)) % 0.37/0.56 (step @p46 :rule refl :args (@t24)) % 0.37/0.56 (step @p47 :rule refl :args (@t36)) % 0.37/0.56 (step @p48 :rule nary_cong :premises (@p47 @p46 @p45) :args ((or @t36 @t24 (not @t34)))) % 0.37/0.56 (step @p49 :rule cnf_equiv_pos2 :args (@t35)) % 0.37/0.56 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.37/0.56 (step @p51 :rule reordering :premises (@p50) :args ((or @t24 @t33 @t36))) % 0.37/0.56 (step @p52 :rule chain_m_resolution :premises (@p51 @p23 @p44) :args (@t33 @t37 (@list @t24 @t35))) % 0.37/0.56 (step @p53 :rule instantiate :premises (@p52) :args (@t38)) % 0.37/0.56 (step @p54 :rule eq-symm :args (@t39 @t25)) % 0.37/0.56 (step @p55 :rule refl :args (@t23)) % 0.37/0.56 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t23 @t40))) % 0.37/0.56 (assume-push @p76 @t23) % 0.37/0.56 (step @p58 :rule instantiate :premises (@p18) :args ((@list tptp.iKinnock tptp.iUK))) % 0.37/0.56 (step-pop @p77 :rule scope :premises (@p58)) % 0.37/0.56 (step @p59 :rule process_scope :premises (@p77) :args (@t40)) % 0.37/0.56 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 0.37/0.56 (step @p62 :rule implies_elim :premises (@p61)) % 0.37/0.56 (step @p63 :rule chain_m_resolution :premises (@p62 @p18) :args (@t41 (@list false) (@list @t23))) % 0.37/0.56 (step @p64 :rule cnf_equiv_pos1 :args (@t41)) % 0.37/0.56 (step @p65 :rule reordering :premises (@p64) :args ((or (not @t25) @t39 (not @t41)))) % 0.37/0.56 (step @p66 :rule chain_m_resolution :premises (@p65 @p27 @p63) :args (@t39 @t42 (@list @t25 @t41))) % 0.37/0.56 (step @p67 :rule cnf_or_pos :args (@t46)) % 0.37/0.56 (step @p68 :rule reordering :premises (@p67) :args ((or @t45 @t44 (not @t46)))) % 0.37/0.56 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p53) :args (@t44 @t42 (@list @t39 @t46))) % 0.37/0.56 (assume-push @p78 @t47) % 0.37/0.56 (step @p71 :rule instantiate :premises (@p34) :args (@t38)) % 0.37/0.56 (step-pop @p79 :rule scope :premises (@p71)) % 0.37/0.56 (step @p72 :rule process_scope :premises (@p79) :args (@t43)) % 0.37/0.56 (step @p74 :rule implies_elim :premises (@p72)) % 0.37/0.56 (step @p75 false :rule chain_m_resolution :premises (@p74 @p69 @p34) :args (false @t37 (@list @t43 @t47))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------