%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS129+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 : n012.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 08:28:58 AM UTC 2026 % Result : Theorem 0.15s 0.37s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : KRS129+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 05:28:03 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.37 % SZS status Theorem % 0.15/0.37 % SZS output start Proof % 0.15/0.37 ( % 0.15/0.37 (declare-sort $$unsorted 0) % 0.15/0.37 (declare-const tptp.iKinnock $$unsorted) % 0.15/0.37 (declare-const tptp.iBE $$unsorted) % 0.15/0.37 (declare-const tptp.iFR $$unsorted) % 0.15/0.37 (declare-const tptp.iES $$unsorted) % 0.15/0.37 (declare-const tptp.cEuroMP (-> $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.cEuropeanCountry (-> $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.cPerson (-> $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.rhasEuroMP (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.risEuroMPFrom (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.cEUCountry (-> $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.iNL $$unsorted) % 0.15/0.37 (declare-const tptp.iPT $$unsorted) % 0.15/0.37 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.iUK $$unsorted) % 0.15/0.37 (define @t1 () (@var "B" $$unsorted)) % 0.15/0.37 (define @t2 () (@var "A" $$unsorted)) % 0.15/0.37 (define @t3 () (= @t2 @t1)) % 0.15/0.37 (define @t4 () (@list @t2 @t1)) % 0.15/0.37 (define @t5 () (@var "C" $$unsorted)) % 0.15/0.37 (define @t6 () (@list @t2 @t1 @t5)) % 0.15/0.37 (define @t7 () (@var "X" $$unsorted)) % 0.15/0.37 (define @t8 () (not (tptp.cowlNothing @t7))) % 0.15/0.37 (define @t9 () (tptp.cowlThing @t7)) % 0.15/0.37 (define @t10 () (@list @t7)) % 0.15/0.37 (define @t11 () (forall @t10 (and @t9 @t8))) % 0.15/0.37 (define @t12 () (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.15/0.37 (define @t13 () (tptp.cEUCountry @t7)) % 0.15/0.37 (define @t14 () (@var "Y" $$unsorted)) % 0.15/0.37 (define @t15 () (tptp.cowlThing @t14)) % 0.15/0.37 (define @t16 () (tptp.risEuroMPFrom @t7 @t14)) % 0.15/0.37 (define @t17 () (and @t16 @t15)) % 0.15/0.37 (define @t18 () (@list @t14)) % 0.15/0.37 (define @t19 () (exists @t18 @t17)) % 0.15/0.37 (define @t20 () (tptp.cEuroMP @t7)) % 0.15/0.37 (define @t21 () (= @t20 @t19)) % 0.15/0.37 (define @t22 () (forall @t10 @t21)) % 0.15/0.37 (define @t23 () (@list @t7 @t14)) % 0.15/0.37 (define @t24 () (forall @t23 (= @t16 (tptp.rhasEuroMP @t14 @t7)))) % 0.15/0.37 (define @t25 () (tptp.rhasEuroMP tptp.iUK tptp.iKinnock)) % 0.15/0.37 (define @t26 () (tptp.cEuroMP tptp.iKinnock)) % 0.15/0.37 (define @t27 () (and @t11 @t12 @t26)) % 0.15/0.37 (define @t28 () (not @t27)) % 0.15/0.37 (define @t29 () (forall @t10 @t8)) % 0.15/0.37 (define @t30 () (@list @t7)) % 0.15/0.37 (define @t31 () (@var "BOUND_VARIABLE_7697" $$unsorted)) % 0.15/0.37 (define @t32 () (forall @t10 @t9)) % 0.15/0.37 (define @t33 () (@var "BOUND_VARIABLE_7692" $$unsorted)) % 0.15/0.37 (define @t34 () (and @t32 @t29)) % 0.15/0.37 (define @t35 () (forall @t18 (not @t17))) % 0.15/0.37 (define @t36 () (not @t35)) % 0.15/0.37 (define @t37 () (forall (@list @t31) (not (tptp.cowlNothing @t31)))) % 0.15/0.37 (define @t38 () (forall (@list @t33) (tptp.cowlThing @t33))) % 0.15/0.37 (define @t39 () (not @t26)) % 0.15/0.37 (define @t40 () (forall @t18 (or (not (tptp.risEuroMPFrom tptp.iKinnock @t14)) (not @t15)))) % 0.15/0.37 (define @t41 () (not @t40)) % 0.15/0.37 (define @t42 () (= @t26 @t41)) % 0.15/0.37 (define @t43 () (not @t42)) % 0.15/0.37 (define @t44 () (@list true false)) % 0.15/0.37 (define @t45 () (@list tptp.iUK)) % 0.15/0.37 (define @t46 () (tptp.risEuroMPFrom tptp.iKinnock tptp.iUK)) % 0.15/0.37 (define @t47 () (= @t46 @t25)) % 0.15/0.37 (define @t48 () (= @t25 @t46)) % 0.15/0.37 (define @t49 () (@list false false)) % 0.15/0.37 (define @t50 () (tptp.cowlThing tptp.iUK)) % 0.15/0.37 (define @t51 () (not @t50)) % 0.15/0.37 (define @t52 () (not @t46)) % 0.15/0.37 (define @t53 () (or @t52 @t51)) % 0.15/0.37 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cEUCountry @t2)) (tptp.cEUCountry @t1)))) % 0.15/0.37 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cEuroMP @t2)) (tptp.cEuroMP @t1)))) % 0.15/0.37 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cEuropeanCountry @t2)) (tptp.cEuropeanCountry @t1)))) % 0.15/0.37 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cPerson @t2)) (tptp.cPerson @t1)))) % 0.15/0.37 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.15/0.37 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.15/0.37 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rhasEuroMP @t2 @t5)) (tptp.rhasEuroMP @t1 @t5)))) % 0.15/0.37 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rhasEuroMP @t5 @t2)) (tptp.rhasEuroMP @t5 @t1)))) % 0.15/0.37 (assume @p9 (forall @t6 (=> (and @t3 (tptp.risEuroMPFrom @t2 @t5)) (tptp.risEuroMPFrom @t1 @t5)))) % 0.15/0.37 (assume @p10 (forall @t6 (=> (and @t3 (tptp.risEuroMPFrom @t5 @t2)) (tptp.risEuroMPFrom @t5 @t1)))) % 0.15/0.37 (assume @p11 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.15/0.37 (assume @p12 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.15/0.37 (assume @p13 @t11) % 0.15/0.37 (assume @p14 @t12) % 0.15/0.37 (assume @p15 (forall @t10 (= @t13 (or (= @t7 tptp.iBE) (= @t7 tptp.iFR) (= @t7 tptp.iES) (= @t7 tptp.iUK) (= @t7 tptp.iNL) (= @t7 tptp.iPT))))) % 0.15/0.37 (assume @p16 @t22) % 0.15/0.37 (assume @p17 (forall @t23 (=> (tptp.rhasEuroMP @t7 @t14) @t13))) % 0.15/0.37 (assume @p18 @t24) % 0.15/0.37 (assume @p19 (tptp.cEuropeanCountry tptp.iBE)) % 0.15/0.37 (assume @p20 (tptp.cEuropeanCountry tptp.iES)) % 0.15/0.37 (assume @p21 (tptp.cEuropeanCountry tptp.iFR)) % 0.15/0.37 (assume @p22 (tptp.cPerson tptp.iKinnock)) % 0.15/0.37 (assume @p23 (tptp.cEuropeanCountry tptp.iNL)) % 0.15/0.37 (assume @p24 (tptp.cEuropeanCountry tptp.iPT)) % 0.15/0.37 (assume @p25 (tptp.cEuropeanCountry tptp.iUK)) % 0.15/0.37 (assume @p26 @t25) % 0.15/0.37 (assume @p27 @t28) % 0.15/0.37 (assume @p28 true) % 0.15/0.37 (step @p29 :rule alpha_equiv :args (@t29 @t30 (@list @t31))) % 0.15/0.37 (step @p30 :rule alpha_equiv :args (@t32 @t30 (@list @t33))) % 0.15/0.37 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t34)) % 0.15/0.37 (step @p32 :rule quant-miniscope-and :args ((= @t11 @t34))) % 0.15/0.37 (step @p33 :rule trans :premises (@p32 @p31)) % 0.15/0.37 (step @p34 :rule eq_resolve :premises (@p13 @p33)) % 0.15/0.37 (step @p35 :rule and_elim :premises (@p34) :args (0)) % 0.15/0.37 (step @p36 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 0.15/0.37 (step @p37 :rule cong :premises (@p36) :args (@t35)) % 0.15/0.37 (step @p38 :rule cong :premises (@p37) :args (@t36)) % 0.15/0.37 (step @p39 :rule exists-elim :args ((= @t19 @t36))) % 0.15/0.37 (step @p40 :rule trans :premises (@p39 @p38)) % 0.15/0.37 (step @p41 :rule refl :args (@t20)) % 0.15/0.37 (step @p42 :rule cong :premises (@p41 @p40) :args (@t21)) % 0.15/0.37 (step @p43 :rule cong :premises (@p42) :args (@t22)) % 0.15/0.37 (step @p44 :rule eq_resolve :premises (@p16 @p43)) % 0.15/0.37 (step @p45 :rule instantiate :premises (@p44) :args ((@list tptp.iKinnock))) % 0.15/0.37 (step @p46 :rule and_elim :premises (@p34) :args (1)) % 0.15/0.37 (step @p47 :rule aci_norm :args ((= (and (and @t38 @t37) @t12 @t26) (and @t12 @t26 @t38 @t37)))) % 0.15/0.37 (step @p48 :rule refl :args (@t26)) % 0.15/0.37 (step @p49 :rule refl :args (@t12)) % 0.15/0.37 (step @p50 :rule nary_cong :premises (@p33 @p49 @p48) :args (@t27)) % 0.15/0.37 (step @p51 :rule trans :premises (@p50 @p47)) % 0.15/0.37 (step @p52 :rule cong :premises (@p51) :args (@t28)) % 0.15/0.37 (step @p53 :rule eq_resolve :premises (@p27 @p52)) % 0.15/0.37 (step @p54 :rule not_and :premises (@p53)) % 0.15/0.37 (step @p55 :rule reordering :premises (@p54) :args ((or (not @t38) (not @t37) (not @t12) @t39))) % 0.15/0.37 (step @p56 :rule chain_m_resolution :premises (@p55 @p35 @p46 @p14) :args (@t39 (@list false false false) (@list @t38 @t37 @t12))) % 0.15/0.37 (step @p57 :rule bool-double-not-elim :args (@t40)) % 0.15/0.37 (step @p58 :rule refl :args (@t43)) % 0.15/0.37 (step @p59 :rule nary_cong :premises (@p58 @p48 @p57) :args ((or @t43 @t26 (not @t41)))) % 0.15/0.37 (step @p60 :rule cnf_equiv_pos2 :args (@t42)) % 0.15/0.37 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.15/0.37 (step @p62 :rule reordering :premises (@p61) :args ((or @t26 @t40 @t43))) % 0.15/0.37 (step @p63 :rule chain_m_resolution :premises (@p62 @p56 @p45) :args (@t40 @t44 (@list @t26 @t42))) % 0.15/0.37 (step @p64 :rule instantiate :premises (@p63) :args (@t45)) % 0.15/0.37 (step @p65 :rule eq-symm :args (@t46 @t25)) % 0.15/0.37 (step @p66 :rule refl :args (@t24)) % 0.15/0.37 (step @p67 :rule cong :premises (@p66 @p65) :args ((=> @t24 @t47))) % 0.15/0.37 (assume-push @p87 @t24) % 0.15/0.37 (step @p69 :rule instantiate :premises (@p18) :args ((@list tptp.iKinnock tptp.iUK))) % 0.15/0.37 (step-pop @p88 :rule scope :premises (@p69)) % 0.15/0.37 (step @p70 :rule process_scope :premises (@p88) :args (@t47)) % 0.15/0.37 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 0.15/0.37 (step @p73 :rule implies_elim :premises (@p72)) % 0.15/0.37 (step @p74 :rule chain_m_resolution :premises (@p73 @p18) :args (@t48 (@list false) (@list @t24))) % 0.15/0.37 (step @p75 :rule cnf_equiv_pos1 :args (@t48)) % 0.15/0.37 (step @p76 :rule reordering :premises (@p75) :args ((or (not @t25) @t46 (not @t48)))) % 0.15/0.37 (step @p77 :rule chain_m_resolution :premises (@p76 @p26 @p74) :args (@t46 @t49 (@list @t25 @t48))) % 0.15/0.37 (step @p78 :rule cnf_or_pos :args (@t53)) % 0.15/0.37 (step @p79 :rule reordering :premises (@p78) :args ((or @t52 @t51 (not @t53)))) % 0.15/0.37 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p64) :args (@t51 @t49 (@list @t46 @t53))) % 0.15/0.37 (assume-push @p89 @t38) % 0.15/0.37 (step @p82 :rule instantiate :premises (@p35) :args (@t45)) % 0.15/0.37 (step-pop @p90 :rule scope :premises (@p82)) % 0.15/0.37 (step @p83 :rule process_scope :premises (@p90) :args (@t50)) % 0.15/0.37 (step @p85 :rule implies_elim :premises (@p83)) % 0.15/0.37 (step @p86 false :rule chain_m_resolution :premises (@p85 @p80 @p35) :args (false @t44 (@list @t50 @t38))) % 0.15/0.37 ) % 0.15/0.37 % SZS output end Proof % 0.15/0.37 % cvc5 exiting %------------------------------------------------------------------------------