%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE086+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 : n017.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 08:28:17 AM UTC 2026 % Result : Theorem 0.34s 15.99s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE086+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 % 0.16/0.34 % Computer : n017.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 05:11:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.34/15.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/15.99 --- Run --no-e-matching --full-saturate-quant at 6... % 0.34/15.99 % SZS status Theorem % 0.34/15.99 % SZS output start Proof % 0.34/15.99 ( % 0.34/15.99 (declare-sort $$unsorted 0) % 0.34/15.99 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.34/15.99 (declare-const tptp.coantidomain (-> $$unsorted $$unsorted)) % 0.34/15.99 (declare-const tptp.antidomain (-> $$unsorted $$unsorted)) % 0.34/15.99 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.34/15.99 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.34/15.99 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.34/15.99 (declare-const tptp.zero $$unsorted) % 0.34/15.99 (declare-const tptp.one $$unsorted) % 0.34/15.99 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.34/15.99 (define @t1 () (@var "A" $$unsorted)) % 0.34/15.99 (define @t2 () (@var "B" $$unsorted)) % 0.34/15.99 (define @t3 () (tptp.addition @t1 @t2)) % 0.34/15.99 (define @t4 () (@list @t1 @t2)) % 0.34/15.99 (define @t5 () (@var "C" $$unsorted)) % 0.34/15.99 (define @t6 () (tptp.addition @t2 @t5)) % 0.34/15.99 (define @t7 () (tptp.addition @t1 tptp.zero)) % 0.34/15.99 (define @t8 () (@list @t1)) % 0.34/15.99 (define @t9 () (forall @t8 (= @t7 @t1))) % 0.34/15.99 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.34/15.99 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.34/15.99 (define @t12 () (@list @t1 @t2 @t5)) % 0.34/15.99 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 0.34/15.99 (define @t14 () (forall @t8 (= @t13 @t1))) % 0.34/15.99 (define @t15 () (tptp.multiplication tptp.one @t1)) % 0.34/15.99 (define @t16 () (forall @t8 (= @t15 @t1))) % 0.34/15.99 (define @t17 () (tptp.multiplication @t1 @t5)) % 0.34/15.99 (define @t18 () (@var "X0" $$unsorted)) % 0.34/15.99 (define @t19 () (tptp.antidomain @t18)) % 0.34/15.99 (define @t20 () (tptp.multiplication @t19 @t18)) % 0.34/15.99 (define @t21 () (@list @t18)) % 0.34/15.99 (define @t22 () (forall @t21 (= @t20 tptp.zero))) % 0.34/15.99 (define @t23 () (@var "X1" $$unsorted)) % 0.34/15.99 (define @t24 () (tptp.antidomain (tptp.multiplication @t18 (tptp.antidomain (tptp.antidomain @t23))))) % 0.34/15.99 (define @t25 () (tptp.multiplication @t18 @t23)) % 0.34/15.99 (define @t26 () (@list @t18 @t23)) % 0.34/15.99 (define @t27 () (tptp.antidomain @t19)) % 0.34/15.99 (define @t28 () (tptp.addition @t27 @t19)) % 0.34/15.99 (define @t29 () (forall @t21 (= @t28 tptp.one))) % 0.34/15.99 (define @t30 () (tptp.domain @t18)) % 0.34/15.99 (define @t31 () (forall @t21 (= @t30 @t27))) % 0.34/15.99 (define @t32 () (tptp.coantidomain @t18)) % 0.34/15.99 (define @t33 () (tptp.coantidomain @t32)) % 0.34/15.99 (define @t34 () (tptp.coantidomain (tptp.multiplication @t33 @t23))) % 0.34/15.99 (define @t35 () (tptp.domain tptp.zero)) % 0.34/15.99 (define @t36 () (tptp.antidomain (tptp.antidomain tptp.zero))) % 0.34/15.99 (define @t37 () (forall @t21 (= @t27 @t30))) % 0.34/15.99 (define @t38 () (= @t36 @t35)) % 0.34/15.99 (define @t39 () (@list tptp.zero)) % 0.34/15.99 (define @t40 () (= @t35 @t36)) % 0.34/15.99 (define @t41 () (@list tptp.one)) % 0.34/15.99 (define @t42 () (tptp.antidomain tptp.one)) % 0.34/15.99 (define @t43 () (tptp.antidomain @t42)) % 0.34/15.99 (define @t44 () (@list @t43)) % 0.34/15.99 (define @t45 () (tptp.multiplication @t42 tptp.one)) % 0.34/15.99 (define @t46 () (= tptp.zero @t45)) % 0.34/15.99 (define @t47 () (tptp.addition @t43 @t42)) % 0.34/15.99 (define @t48 () (= tptp.one @t47)) % 0.34/15.99 (define @t49 () (= @t42 @t45)) % 0.34/15.99 (define @t50 () (tptp.multiplication tptp.one @t43)) % 0.34/15.99 (define @t51 () (= @t43 @t50)) % 0.34/15.99 (define @t52 () (= @t43 (tptp.addition @t43 tptp.zero))) % 0.34/15.99 (define @t53 () (= tptp.zero @t35)) % 0.34/15.99 (define @t54 () (and @t40 @t46 @t48 @t49 @t51 @t52)) % 0.34/15.99 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.34/15.99 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.34/15.99 (assume @p3 @t9) % 0.34/15.99 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 0.34/15.99 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.34/15.99 (assume @p6 @t14) % 0.34/15.99 (assume @p7 @t16) % 0.34/15.99 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t17)))) % 0.34/15.99 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t11)))) % 0.34/15.99 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.34/15.99 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.34/15.99 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.34/15.99 (assume @p13 @t22) % 0.34/15.99 (assume @p14 (forall @t26 (= (tptp.addition (tptp.antidomain @t25) @t24) @t24))) % 0.34/15.99 (assume @p15 @t29) % 0.34/15.99 (assume @p16 @t31) % 0.34/15.99 (assume @p17 (forall @t21 (= (tptp.multiplication @t18 @t32) tptp.zero))) % 0.34/15.99 (assume @p18 (forall @t26 (= (tptp.addition (tptp.coantidomain @t25) @t34) @t34))) % 0.34/16.00 (assume @p19 (forall @t21 (= (tptp.addition @t33 @t32) tptp.one))) % 0.34/16.00 (assume @p20 (forall @t21 (= (tptp.codomain @t18) @t33))) % 0.34/16.00 (assume @p21 (not (= @t35 tptp.zero))) % 0.34/16.00 (assume @p22 true) % 0.34/16.00 (step @p23 :rule symm :premises (@p21)) % 0.34/16.00 (step @p24 :rule eq-symm :args (@t30 @t27)) % 0.34/16.00 (step @p25 :rule cong :premises (@p24) :args (@t31)) % 0.34/16.00 (step @p26 :rule eq_resolve :premises (@p16 @p25)) % 0.34/16.00 (step @p27 :rule eq-symm :args (@t36 @t35)) % 0.34/16.00 (step @p28 :rule refl :args (@t37)) % 0.34/16.00 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t37 @t38))) % 0.34/16.00 (assume-push @p88 @t37) % 0.34/16.00 (step @p31 :rule instantiate :premises (@p26) :args (@t39)) % 0.34/16.00 (step-pop @p89 :rule scope :premises (@p31)) % 0.34/16.00 (step @p32 :rule process_scope :premises (@p89) :args (@t38)) % 0.34/16.00 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 0.34/16.00 (step @p35 :rule implies_elim :premises (@p34)) % 0.34/16.00 (step @p36 :rule chain_m_resolution :premises (@p35 @p26) :args (@t40 (@list false) (@list @t37))) % 0.34/16.00 (step @p37 :rule eq-symm :args (@t20 tptp.zero)) % 0.34/16.00 (step @p38 :rule cong :premises (@p37) :args (@t22)) % 0.34/16.00 (step @p39 :rule eq_resolve :premises (@p13 @p38)) % 0.34/16.00 (step @p40 :rule instantiate :premises (@p39) :args (@t41)) % 0.34/16.00 (step @p41 :rule eq-symm :args (@t28 tptp.one)) % 0.34/16.00 (step @p42 :rule cong :premises (@p41) :args (@t29)) % 0.34/16.00 (step @p43 :rule eq_resolve :premises (@p15 @p42)) % 0.34/16.00 (step @p44 :rule instantiate :premises (@p43) :args (@t41)) % 0.34/16.00 (step @p45 :rule eq-symm :args (@t13 @t1)) % 0.34/16.00 (step @p46 :rule cong :premises (@p45) :args (@t14)) % 0.34/16.00 (step @p47 :rule eq_resolve :premises (@p6 @p46)) % 0.34/16.00 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t42))) % 0.34/16.00 (step @p49 :rule eq-symm :args (@t15 @t1)) % 0.34/16.00 (step @p50 :rule cong :premises (@p49) :args (@t16)) % 0.34/16.00 (step @p51 :rule eq_resolve :premises (@p7 @p50)) % 0.34/16.00 (step @p52 :rule instantiate :premises (@p51) :args (@t44)) % 0.34/16.00 (step @p53 :rule eq-symm :args (@t7 @t1)) % 0.34/16.00 (step @p54 :rule cong :premises (@p53) :args (@t9)) % 0.34/16.00 (step @p55 :rule eq_resolve :premises (@p3 @p54)) % 0.34/16.00 (step @p56 :rule instantiate :premises (@p55) :args (@t44)) % 0.34/16.00 (assume-push @p90 @t40) % 0.34/16.00 (assume-push @p91 @t46) % 0.34/16.00 (assume-push @p92 @t48) % 0.34/16.00 (assume-push @p93 @t49) % 0.34/16.00 (assume-push @p94 @t51) % 0.34/16.00 (assume-push @p95 @t52) % 0.34/16.00 (step @p31 :rule instantiate :premises (@p26) :args (@t39)) % 0.34/16.00 (step @p63 :rule symm :premises (@p40)) % 0.34/16.00 (step @p64 :rule trans :premises (@p48 @p63)) % 0.34/16.00 (step @p65 :rule cong :premises (@p64) :args (@t43)) % 0.34/16.00 (step @p66 :rule symm :premises (@p52)) % 0.34/16.00 (step @p67 :rule trans :premises (@p66 @p65)) % 0.34/16.00 (step @p68 :rule cong :premises (@p67) :args ((tptp.antidomain @t50))) % 0.34/16.00 (step @p69 :rule symm :premises (@p56)) % 0.34/16.00 (step @p70 :rule refl :args (@t43)) % 0.34/16.00 (step @p71 :rule cong :premises (@p70 @p64) :args (@t47)) % 0.34/16.00 (step @p72 :rule trans :premises (@p44 @p71 @p69 @p52)) % 0.34/16.00 (step @p73 :rule cong :premises (@p72) :args (@t42)) % 0.34/16.00 (step @p74 :rule symm :premises (@p48)) % 0.34/16.00 (step @p75 :rule trans :premises (@p40 @p74 @p73 @p68 @p31)) % 0.34/16.00 (step-pop @p96 :rule scope :premises (@p75)) % 0.34/16.00 (step-pop @p97 :rule scope :premises (@p96)) % 0.34/16.00 (step-pop @p98 :rule scope :premises (@p97)) % 0.34/16.00 (step-pop @p99 :rule scope :premises (@p98)) % 0.34/16.00 (step-pop @p100 :rule scope :premises (@p99)) % 0.34/16.00 (step-pop @p101 :rule scope :premises (@p100)) % 0.34/16.00 (step @p76 :rule process_scope :premises (@p101) :args (@t53)) % 0.34/16.00 (step @p83 :rule implies_elim :premises (@p76)) % 0.34/16.00 (step @p84 :rule cnf_and_neg :args (@t54)) % 0.34/16.00 (step @p85 :rule resolution :premises (@p84 @p83) :args (true @t54)) % 0.34/16.00 (step @p86 :rule reordering :premises (@p85) :args ((or @t53 (not @t40) (not @t46) (not @t48) (not @t49) (not @t51) (not @t52)))) % 0.34/16.00 (step @p87 false :rule chain_m_resolution :premises (@p86 @p56 @p52 @p48 @p44 @p40 @p36 @p23) :args (false (@list false false false false false false true) (@list @t52 @t51 @t49 @t48 @t46 @t40 @t53))) % 0.34/16.00 ) % 0.34/16.00 % SZS output end Proof % 0.34/16.00 % cvc5 exiting %------------------------------------------------------------------------------