%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE055+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:28:13 AM UTC 2026 % Result : Theorem 15.61s 15.89s % Output : Proof 15.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE055+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.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 05:11:51 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.61/15.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.61/15.89 --- Run --no-e-matching --full-saturate-quant at 6... % 15.61/15.89 % SZS status Theorem % 15.61/15.89 % SZS output start Proof % 15.61/15.89 ( % 15.61/15.89 (declare-sort $$unsorted 0) % 15.61/15.89 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 15.61/15.89 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 15.61/15.89 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 15.61/15.89 (declare-const tptp.zero $$unsorted) % 15.61/15.89 (declare-const tptp.one $$unsorted) % 15.61/15.89 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 15.61/15.89 (define @t1 () (@var "A" $$unsorted)) % 15.61/15.89 (define @t2 () (@var "B" $$unsorted)) % 15.61/15.89 (define @t3 () (tptp.addition @t1 @t2)) % 15.61/15.89 (define @t4 () (@list @t1 @t2)) % 15.61/15.89 (define @t5 () (@var "C" $$unsorted)) % 15.61/15.89 (define @t6 () (tptp.addition @t2 @t5)) % 15.61/15.89 (define @t7 () (tptp.addition @t1 tptp.zero)) % 15.61/15.89 (define @t8 () (@list @t1)) % 15.61/15.89 (define @t9 () (forall @t8 (= @t7 @t1))) % 15.61/15.89 (define @t10 () (tptp.multiplication @t1 @t2)) % 15.61/15.89 (define @t11 () (tptp.multiplication @t2 @t5)) % 15.61/15.89 (define @t12 () (@list @t1 @t2 @t5)) % 15.61/15.89 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 15.61/15.89 (define @t14 () (forall @t8 (= @t13 @t1))) % 15.61/15.89 (define @t15 () (tptp.multiplication tptp.one @t1)) % 15.61/15.89 (define @t16 () (forall @t8 (= @t15 @t1))) % 15.61/15.89 (define @t17 () (tptp.multiplication @t1 @t5)) % 15.61/15.89 (define @t18 () (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t17)))) % 15.61/15.89 (define @t19 () (@var "X0" $$unsorted)) % 15.61/15.89 (define @t20 () (tptp.domain @t19)) % 15.61/15.89 (define @t21 () (tptp.multiplication @t20 @t19)) % 15.61/15.89 (define @t22 () (tptp.addition @t19 @t21)) % 15.61/15.89 (define @t23 () (@list @t19)) % 15.61/15.89 (define @t24 () (forall @t23 (= @t22 @t21))) % 15.61/15.89 (define @t25 () (@var "X1" $$unsorted)) % 15.61/15.89 (define @t26 () (tptp.domain @t25)) % 15.61/15.89 (define @t27 () (@list @t19 @t25)) % 15.61/15.89 (define @t28 () (tptp.addition @t20 tptp.one)) % 15.61/15.89 (define @t29 () (forall @t23 (= @t28 tptp.one))) % 15.61/15.89 (define @t30 () (tptp.addition @t19 @t20)) % 15.61/15.89 (define @t31 () (tptp.addition @t19 tptp.one)) % 15.61/15.89 (define @t32 () (=> (= @t31 tptp.one) (= @t30 @t20))) % 15.61/15.89 (define @t33 () (forall @t23 @t32)) % 15.61/15.89 (define @t34 () (not @t33)) % 15.61/15.89 (define @t35 () (= tptp.one @t31)) % 15.61/15.89 (define @t36 () (= @t20 @t30)) % 15.61/15.89 (define @t37 () (@quantifiers_skolemize (forall @t23 (or (not @t35) @t36)) 0)) % 15.61/15.89 (define @t38 () (tptp.domain @t37)) % 15.61/15.89 (define @t39 () (= @t38 (tptp.addition @t37 @t38))) % 15.61/15.89 (define @t40 () (tptp.addition @t37 tptp.one)) % 15.61/15.89 (define @t41 () (= tptp.one @t40)) % 15.61/15.89 (define @t42 () (not @t41)) % 15.61/15.89 (define @t43 () (or @t42 @t39)) % 15.61/15.89 (define @t44 () (@list true)) % 15.61/15.89 (define @t45 () (@list @t43)) % 15.61/15.89 (define @t46 () (@list @t37)) % 15.61/15.89 (define @t47 () (tptp.multiplication @t38 @t37)) % 15.61/15.89 (define @t48 () (tptp.addition @t47 (tptp.multiplication @t38 tptp.one))) % 15.61/15.89 (define @t49 () (tptp.multiplication @t38 @t40)) % 15.61/15.89 (define @t50 () (= @t49 @t48)) % 15.61/15.89 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 15.61/15.89 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 15.61/15.89 (assume @p3 @t9) % 15.61/15.89 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 15.61/15.89 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 15.61/15.89 (assume @p6 @t14) % 15.61/15.89 (assume @p7 @t16) % 15.61/15.89 (assume @p8 @t18) % 15.61/15.89 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t11)))) % 15.61/15.89 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 15.61/15.89 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 15.61/15.89 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 15.61/15.89 (assume @p13 @t24) % 15.61/15.89 (assume @p14 (forall @t27 (= (tptp.domain (tptp.multiplication @t19 @t25)) (tptp.domain (tptp.multiplication @t19 @t26))))) % 15.61/15.89 (assume @p15 @t29) % 15.61/15.89 (assume @p16 (= (tptp.domain tptp.zero) tptp.zero)) % 15.61/15.89 (assume @p17 (forall @t27 (= (tptp.domain (tptp.addition @t19 @t25)) (tptp.addition @t20 @t26)))) % 15.61/15.89 (assume @p18 @t34) % 15.61/15.89 (assume @p19 true) % 15.61/15.89 (step @p20 :rule bool-impl-elim :args (@t35 @t36)) % 15.61/15.89 (step @p21 :rule cong :premises (@p20) :args ((forall @t23 (=> @t35 @t36)))) % 15.61/15.89 (step @p22 :rule eq-symm :args (@t30 @t20)) % 15.61/15.89 (step @p23 :rule eq-symm :args (@t31 tptp.one)) % 15.61/15.89 (step @p24 :rule cong :premises (@p23 @p22) :args (@t32)) % 15.61/15.89 (step @p25 :rule cong :premises (@p24) :args (@t33)) % 15.61/15.89 (step @p26 :rule trans :premises (@p25 @p21)) % 15.61/15.89 (step @p27 :rule cong :premises (@p26) :args (@t34)) % 15.61/15.89 (step @p28 :rule eq_resolve :premises (@p18 @p27)) % 15.61/15.89 (step @p29 :rule skolemize :premises (@p28)) % 15.61/15.89 (step @p30 :rule cnf_or_neg :args (@t43 1)) % 15.61/15.89 (step @p31 :rule chain_m_resolution :premises (@p30 @p29) :args ((not @t39) @t44 @t45)) % 15.61/15.89 (step @p32 :rule false_intro :premises (@p31)) % 15.61/15.89 (step @p33 :rule eq-symm :args (@t13 @t1)) % 15.61/15.89 (step @p34 :rule cong :premises (@p33) :args (@t14)) % 15.61/15.89 (step @p35 :rule eq_resolve :premises (@p6 @p34)) % 15.61/15.89 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t38))) % 15.61/15.89 (step @p37 :rule symm :premises (@p36)) % 15.61/15.89 (step @p38 :rule eq-symm :args (@t7 @t1)) % 15.61/15.89 (step @p39 :rule cong :premises (@p38) :args (@t9)) % 15.61/15.89 (step @p40 :rule eq_resolve :premises (@p3 @p39)) % 15.61/15.89 (step @p41 :rule instantiate :premises (@p40) :args (@t46)) % 15.61/15.89 (step @p42 :rule symm :premises (@p41)) % 15.61/15.89 (step @p43 :rule eq-symm :args (@t15 @t1)) % 15.61/15.89 (step @p44 :rule cong :premises (@p43) :args (@t16)) % 15.61/15.89 (step @p45 :rule eq_resolve :premises (@p7 @p44)) % 15.61/15.89 (step @p46 :rule instantiate :premises (@p45) :args (@t46)) % 15.61/15.89 (step @p47 :rule symm :premises (@p46)) % 15.61/15.89 (step @p48 :rule refl :args (@t37)) % 15.61/15.89 (step @p49 :rule eq-symm :args (@t28 tptp.one)) % 15.61/15.89 (step @p50 :rule cong :premises (@p49) :args (@t29)) % 15.61/15.89 (step @p51 :rule eq_resolve :premises (@p15 @p50)) % 15.61/15.89 (step @p52 :rule instantiate :premises (@p51) :args (@t46)) % 15.61/15.89 (step @p53 :rule symm :premises (@p52)) % 15.61/15.89 (step @p54 :rule instantiate :premises (@p1) :args ((@list @t38 tptp.one))) % 15.61/15.89 (step @p55 :rule symm :premises (@p54)) % 15.61/15.89 (step @p56 :rule trans :premises (@p55 @p53)) % 15.61/15.89 (step @p57 :rule cong :premises (@p56 @p48) :args ((tptp.multiplication (tptp.addition tptp.one @t38) @t37))) % 15.61/15.89 (step @p58 :rule instantiate :premises (@p9) :args ((@list tptp.one @t38 @t37))) % 15.61/15.89 (step @p59 :rule symm :premises (@p58)) % 15.61/15.89 (step @p60 :rule refl :args (@t47)) % 15.61/15.89 (step @p61 :rule cong :premises (@p46 @p60) :args ((tptp.addition @t37 @t47))) % 15.61/15.89 (step @p62 :rule eq-symm :args (@t22 @t21)) % 15.61/15.89 (step @p63 :rule cong :premises (@p62) :args (@t24)) % 15.61/15.89 (step @p64 :rule eq_resolve :premises (@p13 @p63)) % 15.61/15.89 (step @p65 :rule instantiate :premises (@p64) :args (@t46)) % 15.61/15.89 (step @p66 :rule trans :premises (@p65 @p61 @p59 @p57 @p47 @p41)) % 15.61/15.89 (step @p67 :rule trans :premises (@p66 @p42)) % 15.61/15.89 (step @p68 :rule cong :premises (@p67 @p37) :args (@t48)) % 15.61/15.89 (step @p69 :rule bool-double-not-elim :args (@t41)) % 15.61/15.89 (step @p70 :rule refl :args (@t43)) % 15.61/15.89 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t43 (not @t42)))) % 15.61/15.89 (step @p72 :rule cnf_or_neg :args (@t43 0)) % 15.61/15.89 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 15.61/15.89 (step @p74 :rule reordering :premises (@p73) :args ((or @t41 @t43))) % 15.61/15.89 (step @p75 :rule chain_m_resolution :premises (@p74 @p29) :args (@t41 @t44 @t45)) % 15.61/15.89 (step @p76 :rule symm :premises (@p75)) % 15.61/15.89 (step @p77 :rule refl :args (@t38)) % 15.61/15.89 (step @p78 :rule cong :premises (@p77 @p76) :args (@t49)) % 15.61/15.89 (step @p79 :rule trans :premises (@p78 @p37)) % 15.61/15.89 (step @p80 :rule cong :premises (@p79 @p68) :args (@t50)) % 15.61/15.89 (step @p81 :rule trans :premises (@p80 @p32)) % 15.61/15.89 (step @p82 :rule false_elim :premises (@p81)) % 15.61/15.89 (assume-push @p89 @t18) % 15.61/15.89 (step @p84 :rule instantiate :premises (@p8) :args ((@list @t38 @t37 tptp.one))) % 15.61/15.89 (step-pop @p90 :rule scope :premises (@p84)) % 15.61/15.89 (step @p85 :rule process_scope :premises (@p90) :args (@t50)) % 15.61/15.89 (step @p87 :rule implies_elim :premises (@p85)) % 15.61/15.89 (step @p88 false :rule chain_m_resolution :premises (@p87 @p82 @p8) :args (false (@list true false) (@list @t50 @t18))) % 15.61/15.89 ) % 15.61/15.89 % SZS output end Proof % 15.61/15.89 % cvc5 exiting %------------------------------------------------------------------------------