%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE006+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:28:02 AM UTC 2026 % Result : Theorem 0.31s 0.57s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : KLE006+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n003.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 05:09:29 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.57 % SZS status Theorem % 0.31/0.57 % SZS output start Proof % 0.31/0.57 ( % 0.31/0.57 (declare-sort $$unsorted 0) % 0.31/0.57 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 0.31/0.57 (declare-const tptp.test (-> $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.57 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.zero $$unsorted) % 0.31/0.57 (declare-const tptp.one $$unsorted) % 0.31/0.57 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.31/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.31/0.57 (define @t3 () (tptp.addition @t1 @t2)) % 0.31/0.57 (define @t4 () (@list @t1 @t2)) % 0.31/0.57 (define @t5 () (@var "C" $$unsorted)) % 0.31/0.57 (define @t6 () (tptp.addition @t2 @t5)) % 0.31/0.57 (define @t7 () (@list @t1)) % 0.31/0.57 (define @t8 () (tptp.multiplication @t1 @t2)) % 0.31/0.57 (define @t9 () (tptp.multiplication @t2 @t5)) % 0.31/0.57 (define @t10 () (@list @t1 @t2 @t5)) % 0.31/0.57 (define @t11 () (tptp.multiplication @t1 @t5)) % 0.31/0.57 (define @t12 () (@var "X0" $$unsorted)) % 0.31/0.57 (define @t13 () (@var "X1" $$unsorted)) % 0.31/0.57 (define @t14 () (tptp.complement @t13 @t12)) % 0.31/0.57 (define @t15 () (tptp.test @t12)) % 0.31/0.57 (define @t16 () (@list @t12)) % 0.31/0.57 (define @t17 () (tptp.addition @t12 @t13)) % 0.31/0.57 (define @t18 () (tptp.multiplication @t13 @t12)) % 0.31/0.57 (define @t19 () (tptp.multiplication @t12 @t13)) % 0.31/0.57 (define @t20 () (and (= @t19 tptp.zero) (= @t18 tptp.zero) (= @t17 tptp.one))) % 0.31/0.57 (define @t21 () (= @t14 @t20)) % 0.31/0.57 (define @t22 () (@list @t12 @t13)) % 0.31/0.57 (define @t23 () (forall @t22 @t21)) % 0.31/0.57 (define @t24 () (tptp.complement @t12 @t13)) % 0.31/0.57 (define @t25 () (tptp.c @t12)) % 0.31/0.57 (define @t26 () (= (= @t25 @t13) @t24)) % 0.31/0.57 (define @t27 () (=> @t15 @t26)) % 0.31/0.57 (define @t28 () (forall @t22 @t27)) % 0.31/0.57 (define @t29 () (not @t15)) % 0.31/0.57 (define @t30 () (= tptp.one (tptp.addition @t12 @t25))) % 0.31/0.57 (define @t31 () (forall @t16 (=> @t15 @t30))) % 0.31/0.57 (define @t32 () (not @t31)) % 0.31/0.57 (define @t33 () (= @t13 @t25)) % 0.31/0.57 (define @t34 () (= @t24 @t33)) % 0.31/0.57 (define @t35 () (@quantifiers_skolemize (forall @t16 (or @t29 @t30)) 0)) % 0.31/0.57 (define @t36 () (tptp.c @t35)) % 0.31/0.57 (define @t37 () (= tptp.one (tptp.addition @t35 @t36))) % 0.31/0.57 (define @t38 () (tptp.test @t35)) % 0.31/0.57 (define @t39 () (not @t38)) % 0.31/0.57 (define @t40 () (or @t39 @t37)) % 0.31/0.57 (define @t41 () (@list true)) % 0.31/0.57 (define @t42 () (@list @t40)) % 0.31/0.57 (define @t43 () (@list @t35 @t36)) % 0.31/0.57 (define @t44 () (= tptp.one (tptp.addition @t36 @t35))) % 0.31/0.57 (define @t45 () (and (= tptp.zero (tptp.multiplication @t36 @t35)) (= tptp.zero (tptp.multiplication @t35 @t36)) @t44)) % 0.31/0.57 (define @t46 () (not @t45)) % 0.31/0.57 (define @t47 () (tptp.complement @t35 @t36)) % 0.31/0.57 (define @t48 () (= @t47 @t45)) % 0.31/0.57 (define @t49 () (not @t47)) % 0.31/0.57 (define @t50 () (@list true false)) % 0.31/0.57 (define @t51 () (or @t39 @t47)) % 0.31/0.57 (define @t52 () (not @t51)) % 0.31/0.57 (define @t53 () (= @t47 (= @t36 @t36))) % 0.31/0.57 (define @t54 () (or @t39 @t53)) % 0.31/0.57 (define @t55 () (forall @t22 (or @t29 @t34))) % 0.31/0.57 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.31/0.57 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.31/0.57 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.31/0.57 (assume @p4 (forall @t7 (= (tptp.addition @t1 @t1) @t1))) % 0.31/0.57 (assume @p5 (forall @t10 (= (tptp.multiplication @t1 @t9) (tptp.multiplication @t8 @t5)))) % 0.31/0.57 (assume @p6 (forall @t7 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.31/0.57 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.31/0.57 (assume @p8 (forall @t10 (= (tptp.multiplication @t1 @t6) (tptp.addition @t8 @t11)))) % 0.31/0.57 (assume @p9 (forall @t10 (= (tptp.multiplication @t3 @t5) (tptp.addition @t11 @t9)))) % 0.31/0.57 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.31/0.57 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.31/0.57 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.31/0.57 (assume @p13 (forall @t16 (= @t15 (exists (@list @t13) @t14)))) % 0.31/0.57 (assume @p14 @t23) % 0.31/0.57 (assume @p15 @t28) % 0.31/0.57 (assume @p16 (forall @t16 (=> @t29 (= @t25 tptp.zero)))) % 0.31/0.57 (assume @p17 @t32) % 0.31/0.57 (assume @p18 true) % 0.31/0.57 (step @p19 :rule bool-impl-elim :args (@t15 @t34)) % 0.31/0.57 (step @p20 :rule cong :premises (@p19) :args ((forall @t22 (=> @t15 @t34)))) % 0.31/0.57 (step @p21 :rule eq-symm :args (@t33 @t24)) % 0.31/0.57 (step @p22 :rule refl :args (@t24)) % 0.31/0.57 (step @p23 :rule eq-symm :args (@t25 @t13)) % 0.31/0.57 (step @p24 :rule cong :premises (@p23 @p22) :args (@t26)) % 0.31/0.57 (step @p25 :rule trans :premises (@p24 @p21)) % 0.31/0.57 (step @p26 :rule refl :args (@t15)) % 0.31/0.57 (step @p27 :rule cong :premises (@p26 @p25) :args (@t27)) % 0.31/0.57 (step @p28 :rule cong :premises (@p27) :args (@t28)) % 0.31/0.57 (step @p29 :rule trans :premises (@p28 @p20)) % 0.31/0.57 (step @p30 :rule eq_resolve :premises (@p15 @p29)) % 0.31/0.57 (step @p31 :rule eq-symm :args (@t17 tptp.one)) % 0.31/0.57 (step @p32 :rule eq-symm :args (@t18 tptp.zero)) % 0.31/0.57 (step @p33 :rule eq-symm :args (@t19 tptp.zero)) % 0.31/0.57 (step @p34 :rule nary_cong :premises (@p33 @p32 @p31) :args (@t20)) % 0.31/0.57 (step @p35 :rule refl :args (@t14)) % 0.31/0.57 (step @p36 :rule cong :premises (@p35 @p34) :args (@t21)) % 0.31/0.57 (step @p37 :rule cong :premises (@p36) :args (@t23)) % 0.31/0.57 (step @p38 :rule eq_resolve :premises (@p14 @p37)) % 0.31/0.57 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t36 @t35))) % 0.31/0.57 (step @p40 :rule bool-impl-elim :args (@t15 @t30)) % 0.31/0.57 (step @p41 :rule cong :premises (@p40) :args (@t31)) % 0.31/0.57 (step @p42 :rule cong :premises (@p41) :args (@t32)) % 0.31/0.57 (step @p43 :rule eq_resolve :premises (@p17 @p42)) % 0.31/0.57 (step @p44 :rule skolemize :premises (@p43)) % 0.31/0.57 (step @p45 :rule cnf_or_neg :args (@t40 1)) % 0.31/0.57 (step @p46 :rule chain_m_resolution :premises (@p45 @p44) :args ((not @t37) @t41 @t42)) % 0.31/0.57 (step @p47 :rule false_intro :premises (@p46)) % 0.31/0.57 (step @p48 :rule instantiate :premises (@p1) :args (@t43)) % 0.31/0.57 (step @p49 :rule symm :premises (@p48)) % 0.31/0.57 (step @p50 :rule refl :args (tptp.one)) % 0.31/0.57 (step @p51 :rule cong :premises (@p50 @p49) :args (@t44)) % 0.31/0.57 (step @p52 :rule trans :premises (@p51 @p47)) % 0.31/0.57 (step @p53 :rule false_elim :premises (@p52)) % 0.31/0.57 (step @p54 :rule cnf_and_pos :args (@t45 2)) % 0.31/0.57 (step @p55 :rule reordering :premises (@p54) :args ((or @t44 @t46))) % 0.31/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p53) :args (@t46 @t41 (@list @t44))) % 0.31/0.57 (step @p57 :rule cnf_equiv_pos1 :args (@t48)) % 0.31/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t45 @t49 (not @t48)))) % 0.31/0.57 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p39) :args (@t49 @t50 (@list @t45 @t48))) % 0.31/0.57 (step @p60 :rule bool-double-not-elim :args (@t38)) % 0.31/0.57 (step @p61 :rule refl :args (@t40)) % 0.31/0.57 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t40 (not @t39)))) % 0.31/0.57 (step @p63 :rule cnf_or_neg :args (@t40 0)) % 0.31/0.57 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.31/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t38 @t40))) % 0.31/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p44) :args (@t38 @t41 @t42)) % 0.31/0.57 (step @p67 :rule cnf_or_pos :args (@t51)) % 0.31/0.57 (step @p68 :rule reordering :premises (@p67) :args ((or @t39 @t47 @t52))) % 0.31/0.57 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p59) :args (@t52 (@list false true) (@list @t38 @t47))) % 0.31/0.57 (step @p70 :rule bool-eq-true :args (@t47)) % 0.31/0.57 (step @p71 :rule eq-refl :args (@t36)) % 0.31/0.57 (step @p72 :rule refl :args (@t47)) % 0.31/0.57 (step @p73 :rule cong :premises (@p72 @p71) :args (@t53)) % 0.31/0.57 (step @p74 :rule trans :premises (@p73 @p70)) % 0.31/0.57 (step @p75 :rule refl :args (@t39)) % 0.31/0.57 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t54)) % 0.31/0.57 (step @p77 :rule refl :args (@t55)) % 0.31/0.57 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t55 @t54))) % 0.31/0.57 (assume-push @p86 @t55) % 0.31/0.57 (step @p80 :rule instantiate :premises (@p30) :args (@t43)) % 0.31/0.57 (step-pop @p87 :rule scope :premises (@p80)) % 0.31/0.57 (step @p81 :rule process_scope :premises (@p87) :args (@t54)) % 0.31/0.57 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.31/0.57 (step @p84 :rule implies_elim :premises (@p83)) % 0.31/0.57 (step @p85 false :rule chain_m_resolution :premises (@p84 @p69 @p30) :args (false @t50 (@list @t51 @t55))) % 0.31/0.57 ) % 0.31/0.57 % SZS output end Proof % 0.31/0.57 % cvc5 exiting %------------------------------------------------------------------------------