%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE037+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 : n019.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 08:28:10 AM UTC 2026 % Result : Theorem 0.44s 0.65s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE037+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 % 0.16/0.34 % Computer : n019.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 05:11:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.65 % SZS status Theorem % 0.44/0.65 % SZS output start Proof % 0.44/0.65 ( % 0.44/0.65 (declare-sort $$unsorted 0) % 0.44/0.65 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.zero $$unsorted) % 0.44/0.65 (declare-const tptp.one $$unsorted) % 0.44/0.65 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (define @t1 () (@var "A" $$unsorted)) % 0.44/0.65 (define @t2 () (@var "B" $$unsorted)) % 0.44/0.65 (define @t3 () (tptp.addition @t1 @t2)) % 0.44/0.65 (define @t4 () (@list @t1 @t2)) % 0.44/0.65 (define @t5 () (@var "C" $$unsorted)) % 0.44/0.65 (define @t6 () (tptp.addition @t2 @t5)) % 0.44/0.65 (define @t7 () (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.44/0.65 (define @t8 () (@list @t1)) % 0.44/0.65 (define @t9 () (tptp.addition @t1 @t1)) % 0.44/0.65 (define @t10 () (forall @t8 (= @t9 @t1))) % 0.44/0.65 (define @t11 () (tptp.multiplication @t1 @t2)) % 0.44/0.65 (define @t12 () (tptp.multiplication @t2 @t5)) % 0.44/0.65 (define @t13 () (@list @t1 @t2 @t5)) % 0.44/0.65 (define @t14 () (tptp.multiplication @t1 @t5)) % 0.44/0.65 (define @t15 () (tptp.leq @t1 @t2)) % 0.44/0.65 (define @t16 () (= @t15 (= @t3 @t2))) % 0.44/0.65 (define @t17 () (forall @t4 @t16)) % 0.44/0.65 (define @t18 () (tptp.star @t1)) % 0.44/0.65 (define @t19 () (tptp.addition @t11 @t5)) % 0.44/0.65 (define @t20 () (@var "X0" $$unsorted)) % 0.44/0.65 (define @t21 () (forall (@list @t20) (tptp.leq tptp.one (tptp.star @t20)))) % 0.44/0.65 (define @t22 () (@quantifiers_skolemize @t21 0)) % 0.44/0.65 (define @t23 () (tptp.star @t22)) % 0.44/0.65 (define @t24 () (= @t23 (tptp.addition tptp.one @t23))) % 0.44/0.65 (define @t25 () (tptp.leq tptp.one @t23)) % 0.44/0.65 (define @t26 () (= @t25 @t24)) % 0.44/0.65 (define @t27 () (not @t24)) % 0.44/0.65 (define @t28 () (tptp.multiplication @t23 @t22)) % 0.44/0.65 (define @t29 () (tptp.addition tptp.one @t28)) % 0.44/0.65 (define @t30 () (tptp.addition @t29 @t23)) % 0.44/0.65 (define @t31 () (= @t23 @t30)) % 0.44/0.65 (define @t32 () (tptp.leq @t29 @t23)) % 0.44/0.65 (define @t33 () (= @t32 @t31)) % 0.44/0.65 (define @t34 () (tptp.addition @t28 @t23)) % 0.44/0.65 (define @t35 () (tptp.addition tptp.one @t34)) % 0.44/0.65 (define @t36 () (= @t35 @t30)) % 0.44/0.65 (define @t37 () (@list @t23 @t28 tptp.one)) % 0.44/0.65 (define @t38 () (= @t30 @t35)) % 0.44/0.65 (define @t39 () (tptp.addition tptp.one tptp.one)) % 0.44/0.65 (define @t40 () (tptp.addition @t34 tptp.one)) % 0.44/0.65 (define @t41 () (= @t35 @t40)) % 0.44/0.65 (define @t42 () (tptp.addition @t39 @t34)) % 0.44/0.65 (define @t43 () (tptp.addition tptp.one @t35)) % 0.44/0.65 (define @t44 () (= @t43 @t42)) % 0.44/0.65 (define @t45 () (= @t42 (tptp.addition @t34 @t39))) % 0.44/0.65 (define @t46 () (= tptp.one @t39)) % 0.44/0.65 (define @t47 () (and @t31 @t38 @t41 @t44 @t45 @t46)) % 0.44/0.65 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.44/0.65 (assume @p2 @t7) % 0.44/0.65 (assume @p3 (forall @t8 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.44/0.65 (assume @p4 @t10) % 0.44/0.65 (assume @p5 (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t5)))) % 0.44/0.65 (assume @p6 (forall @t8 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.44/0.65 (assume @p7 (forall @t8 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.44/0.65 (assume @p8 (forall @t13 (= (tptp.multiplication @t1 @t6) (tptp.addition @t11 @t14)))) % 0.44/0.65 (assume @p9 (forall @t13 (= (tptp.multiplication @t3 @t5) (tptp.addition @t14 @t12)))) % 0.44/0.65 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.44/0.65 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.44/0.65 (assume @p12 @t17) % 0.44/0.65 (assume @p13 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t1 @t18)) @t18))) % 0.44/0.65 (assume @p14 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t18 @t1)) @t18))) % 0.44/0.65 (assume @p15 (forall @t13 (=> (tptp.leq @t19 @t2) (tptp.leq (tptp.multiplication @t18 @t5) @t2)))) % 0.44/0.65 (assume @p16 (forall @t13 (=> (tptp.leq @t19 @t1) (tptp.leq (tptp.multiplication @t5 (tptp.star @t2)) @t1)))) % 0.44/0.65 (assume @p17 (not @t21)) % 0.44/0.65 (assume @p18 true) % 0.44/0.65 (step @p19 :rule eq-symm :args (@t3 @t2)) % 0.44/0.65 (step @p20 :rule refl :args (@t15)) % 0.44/0.65 (step @p21 :rule cong :premises (@p20 @p19) :args (@t16)) % 0.44/0.65 (step @p22 :rule cong :premises (@p21) :args (@t17)) % 0.44/0.65 (step @p23 :rule eq_resolve :premises (@p12 @p22)) % 0.44/0.65 (step @p24 :rule instantiate :premises (@p23) :args ((@list tptp.one @t23))) % 0.44/0.65 (step @p25 :rule skolemize :premises (@p17)) % 0.44/0.65 (step @p26 :rule cnf_equiv_pos2 :args (@t26)) % 0.44/0.65 (step @p27 :rule reordering :premises (@p26) :args ((or @t25 @t27 (not @t26)))) % 0.44/0.65 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p24) :args (@t27 (@list true false) (@list @t25 @t26))) % 0.44/0.65 (step @p29 :rule instantiate :premises (@p23) :args ((@list @t29 @t23))) % 0.44/0.65 (step @p30 :rule instantiate :premises (@p14) :args ((@list @t22))) % 0.44/0.65 (step @p31 :rule cnf_equiv_pos1 :args (@t33)) % 0.44/0.65 (step @p32 :rule reordering :premises (@p31) :args ((or (not @t32) @t31 (not @t33)))) % 0.44/0.65 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p29) :args (@t31 (@list false false) (@list @t32 @t33))) % 0.44/0.65 (step @p34 :rule eq-symm :args (@t35 @t30)) % 0.44/0.65 (step @p35 :rule refl :args (@t7)) % 0.44/0.65 (step @p36 :rule cong :premises (@p35 @p34) :args ((=> @t7 @t36))) % 0.44/0.65 (assume-push @p78 @t7) % 0.44/0.65 (step @p38 :rule instantiate :premises (@p2) :args (@t37)) % 0.44/0.65 (step-pop @p79 :rule scope :premises (@p38)) % 0.44/0.65 (step @p39 :rule process_scope :premises (@p79) :args (@t36)) % 0.44/0.65 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 0.44/0.65 (step @p42 :rule implies_elim :premises (@p41)) % 0.44/0.65 (step @p43 :rule chain_m_resolution :premises (@p42 @p2) :args (@t38 (@list false) (@list @t7))) % 0.44/0.65 (step @p44 :rule instantiate :premises (@p1) :args ((@list tptp.one @t34))) % 0.44/0.65 (step @p45 :rule instantiate :premises (@p2) :args ((@list @t34 tptp.one tptp.one))) % 0.44/0.65 (step @p46 :rule instantiate :premises (@p1) :args ((@list @t39 @t34))) % 0.44/0.65 (step @p47 :rule eq-symm :args (@t9 @t1)) % 0.44/0.65 (step @p48 :rule cong :premises (@p47) :args (@t10)) % 0.44/0.65 (step @p49 :rule eq_resolve :premises (@p4 @p48)) % 0.44/0.65 (step @p50 :rule instantiate :premises (@p49) :args ((@list tptp.one))) % 0.44/0.65 (assume-push @p80 @t31) % 0.44/0.65 (assume-push @p81 @t38) % 0.44/0.65 (assume-push @p82 @t41) % 0.44/0.65 (assume-push @p83 @t44) % 0.44/0.65 (assume-push @p84 @t45) % 0.44/0.65 (assume-push @p85 @t46) % 0.44/0.65 (step @p57 :rule symm :premises (@p33)) % 0.44/0.65 (step @p38 :rule instantiate :premises (@p2) :args (@t37)) % 0.44/0.65 (step @p58 :rule trans :premises (@p38 @p57)) % 0.44/0.65 (step @p59 :rule refl :args (tptp.one)) % 0.44/0.65 (step @p60 :rule cong :premises (@p59 @p58) :args (@t43)) % 0.44/0.65 (step @p61 :rule symm :premises (@p45)) % 0.44/0.65 (step @p62 :rule symm :premises (@p46)) % 0.44/0.65 (step @p63 :rule refl :args (@t34)) % 0.44/0.65 (step @p64 :rule cong :premises (@p63 @p50) :args (@t40)) % 0.44/0.65 (step @p65 :rule trans :premises (@p33 @p43 @p44 @p64 @p62 @p61 @p60)) % 0.44/0.65 (step-pop @p86 :rule scope :premises (@p65)) % 0.44/0.65 (step-pop @p87 :rule scope :premises (@p86)) % 0.44/0.65 (step-pop @p88 :rule scope :premises (@p87)) % 0.44/0.65 (step-pop @p89 :rule scope :premises (@p88)) % 0.44/0.65 (step-pop @p90 :rule scope :premises (@p89)) % 0.44/0.65 (step-pop @p91 :rule scope :premises (@p90)) % 0.44/0.65 (step @p66 :rule process_scope :premises (@p91) :args (@t24)) % 0.44/0.65 (step @p73 :rule implies_elim :premises (@p66)) % 0.44/0.65 (step @p74 :rule cnf_and_neg :args (@t47)) % 0.44/0.65 (step @p75 :rule resolution :premises (@p74 @p73) :args (true @t47)) % 0.44/0.65 (step @p76 :rule reordering :premises (@p75) :args ((or @t24 (not @t31) (not @t38) (not @t41) (not @t44) (not @t45) (not @t46)))) % 0.44/0.65 (step @p77 false :rule chain_m_resolution :premises (@p76 @p50 @p46 @p45 @p44 @p43 @p33 @p28) :args (false (@list false false false false false false true) (@list @t46 @t45 @t44 @t41 @t38 @t31 @t24))) % 0.44/0.65 ) % 0.44/0.65 % SZS output end Proof % 0.44/0.65 % cvc5 exiting %------------------------------------------------------------------------------