%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE056+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 : n001.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 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE056+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n001.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:12:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.zero $$unsorted) % 0.37/0.56 (declare-const tptp.one $$unsorted) % 0.37/0.56 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.56 (define @t3 () (tptp.addition @t1 @t2)) % 0.37/0.56 (define @t4 () (@list @t1 @t2)) % 0.37/0.56 (define @t5 () (@var "C" $$unsorted)) % 0.37/0.56 (define @t6 () (tptp.addition @t2 @t5)) % 0.37/0.56 (define @t7 () (tptp.addition @t1 tptp.zero)) % 0.37/0.56 (define @t8 () (@list @t1)) % 0.37/0.56 (define @t9 () (forall @t8 (= @t7 @t1))) % 0.37/0.56 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.37/0.56 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.37/0.56 (define @t12 () (@list @t1 @t2 @t5)) % 0.37/0.56 (define @t13 () (tptp.multiplication @t1 @t5)) % 0.37/0.56 (define @t14 () (tptp.multiplication tptp.zero @t1)) % 0.37/0.56 (define @t15 () (forall @t8 (= @t14 tptp.zero))) % 0.37/0.56 (define @t16 () (@var "X0" $$unsorted)) % 0.37/0.56 (define @t17 () (tptp.domain @t16)) % 0.37/0.56 (define @t18 () (tptp.multiplication @t17 @t16)) % 0.37/0.56 (define @t19 () (tptp.addition @t16 @t18)) % 0.37/0.56 (define @t20 () (@list @t16)) % 0.37/0.56 (define @t21 () (forall @t20 (= @t19 @t18))) % 0.37/0.56 (define @t22 () (@var "X1" $$unsorted)) % 0.37/0.56 (define @t23 () (tptp.domain @t22)) % 0.37/0.56 (define @t24 () (@list @t16 @t22)) % 0.37/0.56 (define @t25 () (=> (= @t17 tptp.zero) (= @t16 tptp.zero))) % 0.37/0.56 (define @t26 () (forall @t20 @t25)) % 0.37/0.56 (define @t27 () (not @t26)) % 0.37/0.56 (define @t28 () (= tptp.zero @t16)) % 0.37/0.56 (define @t29 () (= tptp.zero @t17)) % 0.37/0.56 (define @t30 () (@quantifiers_skolemize (forall @t20 (or (not @t29) @t28)) 0)) % 0.37/0.56 (define @t31 () (tptp.addition @t30 tptp.zero)) % 0.37/0.56 (define @t32 () (= @t30 @t31)) % 0.37/0.56 (define @t33 () (= @t31 @t30)) % 0.37/0.56 (define @t34 () (= tptp.zero @t30)) % 0.37/0.56 (define @t35 () (tptp.domain @t30)) % 0.37/0.56 (define @t36 () (= tptp.zero @t35)) % 0.37/0.56 (define @t37 () (not @t36)) % 0.37/0.56 (define @t38 () (or @t37 @t34)) % 0.37/0.56 (define @t39 () (@list true)) % 0.37/0.56 (define @t40 () (@list @t38)) % 0.37/0.56 (define @t41 () (@list @t30)) % 0.37/0.56 (define @t42 () (forall @t8 (= @t1 @t7))) % 0.37/0.56 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.37/0.56 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.37/0.56 (assume @p3 @t9) % 0.37/0.56 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 0.37/0.56 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.37/0.56 (assume @p6 (forall @t8 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.37/0.56 (assume @p7 (forall @t8 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.37/0.56 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t13)))) % 0.37/0.56 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t13 @t11)))) % 0.37/0.56 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.37/0.56 (assume @p11 @t15) % 0.37/0.56 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.37/0.56 (assume @p13 @t21) % 0.37/0.56 (assume @p14 (forall @t24 (= (tptp.domain (tptp.multiplication @t16 @t22)) (tptp.domain (tptp.multiplication @t16 @t23))))) % 0.37/0.57 (assume @p15 (forall @t20 (= (tptp.addition @t17 tptp.one) tptp.one))) % 0.37/0.57 (assume @p16 (= (tptp.domain tptp.zero) tptp.zero)) % 0.37/0.57 (assume @p17 (forall @t24 (= (tptp.domain (tptp.addition @t16 @t22)) (tptp.addition @t17 @t23)))) % 0.37/0.57 (assume @p18 @t27) % 0.37/0.57 (assume @p19 true) % 0.37/0.57 (step @p20 :rule eq-symm :args (@t7 @t1)) % 0.37/0.57 (step @p21 :rule cong :premises (@p20) :args (@t9)) % 0.37/0.57 (step @p22 :rule eq_resolve :premises (@p3 @p21)) % 0.37/0.57 (step @p23 :rule bool-eq-false :args (@t32)) % 0.37/0.57 (step @p24 :rule symm :premises (@p23)) % 0.37/0.57 (step @p25 :rule eq-symm :args (@t31 @t30)) % 0.37/0.57 (step @p26 :rule cong :premises (@p25) :args ((not @t33))) % 0.37/0.57 (step @p27 :rule bool-eq-false :args (@t33)) % 0.37/0.57 (step @p28 :rule trans :premises (@p27 @p26)) % 0.37/0.57 (step @p29 :rule trans :premises (@p28 @p24)) % 0.37/0.57 (step @p30 :rule bool-impl-elim :args (@t29 @t28)) % 0.37/0.57 (step @p31 :rule cong :premises (@p30) :args ((forall @t20 (=> @t29 @t28)))) % 0.37/0.57 (step @p32 :rule eq-symm :args (@t16 tptp.zero)) % 0.37/0.57 (step @p33 :rule eq-symm :args (@t17 tptp.zero)) % 0.37/0.57 (step @p34 :rule cong :premises (@p33 @p32) :args (@t25)) % 0.37/0.57 (step @p35 :rule cong :premises (@p34) :args (@t26)) % 0.37/0.57 (step @p36 :rule trans :premises (@p35 @p31)) % 0.37/0.57 (step @p37 :rule cong :premises (@p36) :args (@t27)) % 0.37/0.57 (step @p38 :rule eq_resolve :premises (@p18 @p37)) % 0.37/0.57 (step @p39 :rule skolemize :premises (@p38)) % 0.37/0.57 (step @p40 :rule cnf_or_neg :args (@t38 1)) % 0.37/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p39) :args ((not @t34) @t39 @t40)) % 0.37/0.57 (step @p42 :rule false_intro :premises (@p41)) % 0.37/0.57 (step @p43 :rule refl :args (@t30)) % 0.37/0.57 (step @p44 :rule eq-symm :args (@t14 tptp.zero)) % 0.37/0.57 (step @p45 :rule cong :premises (@p44) :args (@t15)) % 0.37/0.57 (step @p46 :rule eq_resolve :premises (@p11 @p45)) % 0.37/0.57 (step @p47 :rule instantiate :premises (@p46) :args (@t41)) % 0.37/0.57 (step @p48 :rule symm :premises (@p47)) % 0.37/0.57 (step @p49 :rule bool-double-not-elim :args (@t36)) % 0.37/0.57 (step @p50 :rule refl :args (@t38)) % 0.37/0.57 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t38 (not @t37)))) % 0.37/0.57 (step @p52 :rule cnf_or_neg :args (@t38 0)) % 0.37/0.57 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.37/0.57 (step @p54 :rule reordering :premises (@p53) :args ((or @t36 @t38))) % 0.37/0.57 (step @p55 :rule chain_m_resolution :premises (@p54 @p39) :args (@t36 @t39 @t40)) % 0.37/0.57 (step @p56 :rule symm :premises (@p55)) % 0.37/0.57 (step @p57 :rule cong :premises (@p56 @p43) :args ((tptp.multiplication @t35 @t30))) % 0.37/0.57 (step @p58 :rule eq-symm :args (@t19 @t18)) % 0.37/0.57 (step @p59 :rule cong :premises (@p58) :args (@t21)) % 0.37/0.57 (step @p60 :rule eq_resolve :premises (@p13 @p59)) % 0.37/0.57 (step @p61 :rule instantiate :premises (@p60) :args (@t41)) % 0.37/0.57 (step @p62 :rule symm :premises (@p61)) % 0.37/0.57 (step @p63 :rule symm :premises (@p57)) % 0.37/0.57 (step @p64 :rule trans :premises (@p47 @p63)) % 0.37/0.57 (step @p65 :rule cong :premises (@p43 @p64) :args (@t31)) % 0.37/0.57 (step @p66 :rule trans :premises (@p65 @p62 @p57 @p48)) % 0.37/0.57 (step @p67 :rule cong :premises (@p66 @p43) :args (@t33)) % 0.37/0.57 (step @p68 :rule trans :premises (@p67 @p42)) % 0.37/0.57 (step @p69 :rule eq_resolve :premises (@p68 @p29)) % 0.37/0.57 (step @p70 :rule false_elim :premises (@p69)) % 0.37/0.57 (assume-push @p77 @t42) % 0.37/0.57 (step @p72 :rule instantiate :premises (@p22) :args (@t41)) % 0.37/0.57 (step-pop @p78 :rule scope :premises (@p72)) % 0.37/0.57 (step @p73 :rule process_scope :premises (@p78) :args (@t32)) % 0.37/0.57 (step @p75 :rule implies_elim :premises (@p73)) % 0.37/0.57 (step @p76 false :rule chain_m_resolution :premises (@p75 @p70 @p22) :args (false (@list true false) (@list @t32 @t42))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------