%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE061+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 08:28:14 AM UTC 2026 % Result : Theorem 15.87s 16.05s % Output : Proof 15.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE061+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.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 05:12:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.87/16.05 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.87/16.05 --- Run --no-e-matching --full-saturate-quant at 6... % 15.87/16.05 % SZS status Theorem % 15.87/16.05 % SZS output start Proof % 15.87/16.05 ( % 15.87/16.05 (declare-sort $$unsorted 0) % 15.87/16.05 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 15.87/16.05 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 15.87/16.05 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 15.87/16.05 (declare-const tptp.zero $$unsorted) % 15.87/16.05 (declare-const tptp.one $$unsorted) % 15.87/16.05 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 15.87/16.05 (define @t1 () (@var "A" $$unsorted)) % 15.87/16.05 (define @t2 () (@var "B" $$unsorted)) % 15.87/16.05 (define @t3 () (tptp.addition @t1 @t2)) % 15.87/16.05 (define @t4 () (@list @t1 @t2)) % 15.87/16.05 (define @t5 () (@var "C" $$unsorted)) % 15.87/16.05 (define @t6 () (tptp.addition @t2 @t5)) % 15.87/16.05 (define @t7 () (tptp.addition @t1 tptp.zero)) % 15.87/16.05 (define @t8 () (@list @t1)) % 15.87/16.05 (define @t9 () (forall @t8 (= @t7 @t1))) % 15.87/16.05 (define @t10 () (tptp.multiplication @t1 @t2)) % 15.87/16.05 (define @t11 () (tptp.multiplication @t2 @t5)) % 15.87/16.05 (define @t12 () (@list @t1 @t2 @t5)) % 15.87/16.05 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 15.87/16.05 (define @t14 () (forall @t8 (= @t13 @t1))) % 15.87/16.05 (define @t15 () (tptp.multiplication tptp.one @t1)) % 15.87/16.05 (define @t16 () (forall @t8 (= @t15 @t1))) % 15.87/16.05 (define @t17 () (tptp.multiplication @t1 @t5)) % 15.87/16.05 (define @t18 () (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t17)))) % 15.87/16.05 (define @t19 () (@var "X0" $$unsorted)) % 15.87/16.05 (define @t20 () (tptp.domain @t19)) % 15.87/16.05 (define @t21 () (tptp.multiplication @t20 @t19)) % 15.87/16.05 (define @t22 () (tptp.addition @t19 @t21)) % 15.87/16.05 (define @t23 () (@list @t19)) % 15.87/16.05 (define @t24 () (forall @t23 (= @t22 @t21))) % 15.87/16.05 (define @t25 () (@var "X1" $$unsorted)) % 15.87/16.05 (define @t26 () (tptp.domain @t25)) % 15.87/16.05 (define @t27 () (@list @t19 @t25)) % 15.87/16.05 (define @t28 () (tptp.addition @t20 tptp.one)) % 15.87/16.05 (define @t29 () (forall @t23 (= @t28 tptp.one))) % 15.87/16.05 (define @t30 () (tptp.multiplication @t20 @t20)) % 15.87/16.05 (define @t31 () (forall @t23 (= @t30 @t20))) % 15.87/16.05 (define @t32 () (not @t31)) % 15.87/16.05 (define @t33 () (@quantifiers_skolemize (forall @t23 (= @t20 @t30)) 0)) % 15.87/16.05 (define @t34 () (tptp.domain @t33)) % 15.87/16.05 (define @t35 () (@list @t33)) % 15.87/16.05 (define @t36 () (@list @t34)) % 15.87/16.05 (define @t37 () (tptp.domain @t34)) % 15.87/16.05 (define @t38 () (tptp.addition (tptp.multiplication @t34 tptp.one) (tptp.multiplication @t34 @t34))) % 15.87/16.05 (define @t39 () (tptp.multiplication @t34 (tptp.addition tptp.one @t34))) % 15.87/16.05 (define @t40 () (= @t39 @t38)) % 15.87/16.05 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 15.87/16.05 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 15.87/16.05 (assume @p3 @t9) % 15.87/16.05 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 15.87/16.05 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 15.87/16.05 (assume @p6 @t14) % 15.87/16.05 (assume @p7 @t16) % 15.87/16.05 (assume @p8 @t18) % 15.87/16.05 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t11)))) % 15.87/16.05 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 15.87/16.05 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 15.87/16.05 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 15.87/16.05 (assume @p13 @t24) % 15.87/16.05 (assume @p14 (forall @t27 (= (tptp.domain (tptp.multiplication @t19 @t25)) (tptp.domain (tptp.multiplication @t19 @t26))))) % 15.87/16.05 (assume @p15 @t29) % 15.87/16.05 (assume @p16 (= (tptp.domain tptp.zero) tptp.zero)) % 15.87/16.05 (assume @p17 (forall @t27 (= (tptp.domain (tptp.addition @t19 @t25)) (tptp.addition @t20 @t26)))) % 15.87/16.05 (assume @p18 @t32) % 15.87/16.05 (assume @p19 true) % 15.87/16.05 (step @p20 :rule eq-symm :args (@t30 @t20)) % 15.87/16.05 (step @p21 :rule cong :premises (@p20) :args (@t31)) % 15.87/16.05 (step @p22 :rule cong :premises (@p21) :args (@t32)) % 15.87/16.05 (step @p23 :rule eq_resolve :premises (@p18 @p22)) % 15.87/16.05 (step @p24 :rule skolemize :premises (@p23)) % 15.87/16.05 (step @p25 :rule false_intro :premises (@p24)) % 15.87/16.05 (step @p26 :rule refl :args (@t34)) % 15.87/16.05 (step @p27 :rule eq-symm :args (@t7 @t1)) % 15.87/16.05 (step @p28 :rule cong :premises (@p27) :args (@t9)) % 15.87/16.05 (step @p29 :rule eq_resolve :premises (@p3 @p28)) % 15.87/16.05 (step @p30 :rule instantiate :premises (@p29) :args (@t35)) % 15.87/16.05 (step @p31 :rule symm :premises (@p30)) % 15.87/16.05 (step @p32 :rule instantiate :premises (@p1) :args ((@list tptp.zero @t33))) % 15.87/16.05 (step @p33 :rule trans :premises (@p32 @p31)) % 15.87/16.05 (step @p34 :rule cong :premises (@p33) :args ((tptp.domain (tptp.addition tptp.zero @t33)))) % 15.87/16.06 (step @p35 :rule symm :premises (@p32)) % 15.87/16.06 (step @p36 :rule eq-symm :args (@t15 @t1)) % 15.87/16.06 (step @p37 :rule cong :premises (@p36) :args (@t16)) % 15.87/16.06 (step @p38 :rule eq_resolve :premises (@p7 @p37)) % 15.87/16.06 (step @p39 :rule instantiate :premises (@p38) :args (@t35)) % 15.87/16.06 (step @p40 :rule symm :premises (@p39)) % 15.87/16.06 (step @p41 :rule trans :premises (@p40 @p30 @p35)) % 15.87/16.06 (step @p42 :rule cong :premises (@p41) :args ((tptp.domain (tptp.multiplication tptp.one @t33)))) % 15.87/16.06 (step @p43 :rule instantiate :premises (@p14) :args ((@list tptp.one @t33))) % 15.87/16.06 (step @p44 :rule symm :premises (@p43)) % 15.87/16.06 (step @p45 :rule instantiate :premises (@p38) :args (@t36)) % 15.87/16.06 (step @p46 :rule cong :premises (@p45) :args (@t37)) % 15.87/16.06 (step @p47 :rule trans :premises (@p46 @p44 @p42 @p34)) % 15.87/16.06 (step @p48 :rule cong :premises (@p47 @p26) :args ((tptp.multiplication @t37 @t34))) % 15.87/16.06 (step @p49 :rule eq-symm :args (@t22 @t21)) % 15.87/16.06 (step @p50 :rule cong :premises (@p49) :args (@t24)) % 15.87/16.06 (step @p51 :rule eq_resolve :premises (@p13 @p50)) % 15.87/16.06 (step @p52 :rule instantiate :premises (@p51) :args (@t36)) % 15.87/16.06 (step @p53 :rule symm :premises (@p52)) % 15.87/16.06 (step @p54 :rule symm :premises (@p48)) % 15.87/16.06 (step @p55 :rule eq-symm :args (@t13 @t1)) % 15.87/16.06 (step @p56 :rule cong :premises (@p55) :args (@t14)) % 15.87/16.06 (step @p57 :rule eq_resolve :premises (@p6 @p56)) % 15.87/16.06 (step @p58 :rule instantiate :premises (@p57) :args (@t36)) % 15.87/16.06 (step @p59 :rule symm :premises (@p58)) % 15.87/16.06 (step @p60 :rule cong :premises (@p59 @p54) :args (@t38)) % 15.87/16.06 (step @p61 :rule trans :premises (@p60 @p53 @p48)) % 15.87/16.06 (step @p62 :rule eq-symm :args (@t28 tptp.one)) % 15.87/16.06 (step @p63 :rule cong :premises (@p62) :args (@t29)) % 15.87/16.06 (step @p64 :rule eq_resolve :premises (@p15 @p63)) % 15.87/16.06 (step @p65 :rule instantiate :premises (@p64) :args (@t35)) % 15.87/16.06 (step @p66 :rule symm :premises (@p65)) % 15.87/16.06 (step @p67 :rule instantiate :premises (@p1) :args ((@list @t34 tptp.one))) % 15.87/16.06 (step @p68 :rule symm :premises (@p67)) % 15.87/16.06 (step @p69 :rule trans :premises (@p68 @p66)) % 15.87/16.06 (step @p70 :rule cong :premises (@p26 @p69) :args (@t39)) % 15.87/16.06 (step @p71 :rule trans :premises (@p70 @p59)) % 15.87/16.06 (step @p72 :rule cong :premises (@p71 @p61) :args (@t40)) % 15.87/16.06 (step @p73 :rule trans :premises (@p72 @p25)) % 15.87/16.06 (step @p74 :rule false_elim :premises (@p73)) % 15.87/16.06 (assume-push @p81 @t18) % 15.87/16.06 (step @p76 :rule instantiate :premises (@p8) :args ((@list @t34 tptp.one @t34))) % 15.87/16.06 (step-pop @p82 :rule scope :premises (@p76)) % 15.87/16.06 (step @p77 :rule process_scope :premises (@p82) :args (@t40)) % 15.87/16.06 (step @p79 :rule implies_elim :premises (@p77)) % 15.87/16.06 (step @p80 false :rule chain_m_resolution :premises (@p79 @p74 @p8) :args (false (@list true false) (@list @t40 @t18))) % 15.87/16.06 ) % 15.87/16.06 % SZS output end Proof % 15.87/16.06 % cvc5 exiting %------------------------------------------------------------------------------