%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE036+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 : n006.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 0.71s 1.03s % Output : Proof 0.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE036+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 : n006.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 05:10:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.71/1.03 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.71/1.03 % SZS status Theorem % 0.71/1.03 % SZS output start Proof % 0.71/1.03 ( % 0.71/1.03 (declare-sort $$unsorted 0) % 0.71/1.03 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 0.71/1.03 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.71/1.03 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.71/1.03 (declare-const tptp.zero $$unsorted) % 0.71/1.03 (declare-const tptp.one $$unsorted) % 0.71/1.03 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.71/1.03 (define @t1 () (@var "A" $$unsorted)) % 0.71/1.03 (define @t2 () (@var "B" $$unsorted)) % 0.71/1.03 (define @t3 () (tptp.addition @t1 @t2)) % 0.71/1.03 (define @t4 () (@list @t1 @t2)) % 0.71/1.03 (define @t5 () (@var "C" $$unsorted)) % 0.71/1.03 (define @t6 () (tptp.addition @t2 @t5)) % 0.71/1.03 (define @t7 () (@list @t1)) % 0.71/1.03 (define @t8 () (tptp.addition @t1 @t1)) % 0.71/1.03 (define @t9 () (forall @t7 (= @t8 @t1))) % 0.71/1.03 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.71/1.03 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.71/1.03 (define @t12 () (@list @t1 @t2 @t5)) % 0.71/1.03 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 0.83/1.03 (define @t14 () (forall @t7 (= @t13 @t1))) % 0.83/1.03 (define @t15 () (tptp.multiplication @t1 @t5)) % 0.83/1.03 (define @t16 () (tptp.leq @t1 @t2)) % 0.83/1.03 (define @t17 () (= @t16 (= @t3 @t2))) % 0.83/1.03 (define @t18 () (forall @t4 @t17)) % 0.83/1.03 (define @t19 () (tptp.star @t1)) % 0.83/1.03 (define @t20 () (tptp.leq (tptp.multiplication @t19 @t5) @t2)) % 0.83/1.03 (define @t21 () (tptp.addition @t10 @t5)) % 0.83/1.03 (define @t22 () (tptp.leq @t21 @t2)) % 0.83/1.03 (define @t23 () (forall @t12 (=> @t22 @t20))) % 0.83/1.03 (define @t24 () (@var "X0" $$unsorted)) % 0.83/1.03 (define @t25 () (tptp.star @t24)) % 0.83/1.03 (define @t26 () (forall (@list @t24) (tptp.leq @t25 (tptp.addition tptp.one (tptp.multiplication @t24 @t25))))) % 0.83/1.03 (define @t27 () (@quantifiers_skolemize @t26 0)) % 0.83/1.03 (define @t28 () (tptp.star @t27)) % 0.83/1.03 (define @t29 () (tptp.multiplication @t27 @t28)) % 0.83/1.03 (define @t30 () (tptp.addition tptp.one @t29)) % 0.83/1.03 (define @t31 () (tptp.addition @t30 @t28)) % 0.83/1.03 (define @t32 () (= @t28 @t31)) % 0.83/1.03 (define @t33 () (tptp.leq @t30 @t28)) % 0.83/1.03 (define @t34 () (= @t33 @t32)) % 0.83/1.03 (define @t35 () (tptp.multiplication @t27 @t30)) % 0.83/1.03 (define @t36 () (tptp.addition @t35 tptp.one)) % 0.83/1.03 (define @t37 () (tptp.leq (tptp.multiplication @t28 tptp.one) @t30)) % 0.83/1.03 (define @t38 () (tptp.leq @t36 @t30)) % 0.83/1.03 (define @t39 () (not @t38)) % 0.83/1.03 (define @t40 () (or @t39 @t37)) % 0.83/1.03 (define @t41 () (@list true false)) % 0.83/1.03 (define @t42 () (tptp.addition @t36 @t30)) % 0.83/1.03 (define @t43 () (= @t30 @t42)) % 0.83/1.03 (define @t44 () (= @t38 @t43)) % 0.83/1.03 (define @t45 () (not @t43)) % 0.83/1.03 (define @t46 () (tptp.addition @t29 tptp.one)) % 0.83/1.03 (define @t47 () (= @t30 @t46)) % 0.83/1.03 (define @t48 () (tptp.addition @t28 @t30)) % 0.83/1.03 (define @t49 () (= @t48 @t31)) % 0.83/1.03 (define @t50 () (tptp.addition @t29 @t35)) % 0.83/1.03 (define @t51 () (= (tptp.multiplication @t27 @t48) @t50)) % 0.83/1.03 (define @t52 () (tptp.addition @t29 @t36)) % 0.83/1.03 (define @t53 () (= @t52 (tptp.addition @t50 tptp.one))) % 0.83/1.03 (define @t54 () (tptp.addition @t36 @t29)) % 0.83/1.03 (define @t55 () (= @t52 @t54)) % 0.83/1.03 (define @t56 () (tptp.addition tptp.one tptp.one)) % 0.83/1.03 (define @t57 () (= tptp.one @t56)) % 0.83/1.03 (define @t58 () (tptp.addition @t36 tptp.one)) % 0.83/1.03 (define @t59 () (= (tptp.addition @t35 @t56) @t58)) % 0.83/1.03 (define @t60 () (= @t42 (tptp.addition @t58 @t29))) % 0.83/1.03 (define @t61 () (and @t47 @t49 @t32 @t51 @t53 @t55 @t57 @t59 @t60)) % 0.83/1.03 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.83/1.03 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.83/1.03 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.83/1.03 (assume @p4 @t9) % 0.83/1.03 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.83/1.03 (assume @p6 @t14) % 0.83/1.03 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.83/1.03 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t15)))) % 0.83/1.03 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t15 @t11)))) % 0.83/1.03 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.83/1.03 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.83/1.03 (assume @p12 @t18) % 0.83/1.03 (assume @p13 (forall @t7 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t1 @t19)) @t19))) % 0.83/1.03 (assume @p14 (forall @t7 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t19 @t1)) @t19))) % 0.83/1.03 (assume @p15 @t23) % 0.83/1.03 (assume @p16 (forall @t12 (=> (tptp.leq @t21 @t1) (tptp.leq (tptp.multiplication @t5 (tptp.star @t2)) @t1)))) % 0.83/1.03 (assume @p17 (not @t26)) % 0.83/1.03 (assume @p18 true) % 0.83/1.03 (step @p19 :rule instantiate :premises (@p1) :args ((@list tptp.one @t29))) % 0.83/1.03 (step @p20 :rule instantiate :premises (@p1) :args ((@list @t28 @t30))) % 0.83/1.03 (step @p21 :rule eq-symm :args (@t3 @t2)) % 0.83/1.03 (step @p22 :rule refl :args (@t16)) % 0.83/1.03 (step @p23 :rule cong :premises (@p22 @p21) :args (@t17)) % 0.83/1.03 (step @p24 :rule cong :premises (@p23) :args (@t18)) % 0.83/1.03 (step @p25 :rule eq_resolve :premises (@p12 @p24)) % 0.83/1.03 (step @p26 :rule instantiate :premises (@p25) :args ((@list @t30 @t28))) % 0.83/1.03 (step @p27 :rule instantiate :premises (@p13) :args ((@list @t27))) % 0.83/1.03 (step @p28 :rule cnf_equiv_pos1 :args (@t34)) % 0.83/1.03 (step @p29 :rule reordering :premises (@p28) :args ((or (not @t33) @t32 (not @t34)))) % 0.83/1.03 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p26) :args (@t32 (@list false false) (@list @t33 @t34))) % 0.83/1.03 (step @p31 :rule instantiate :premises (@p8) :args ((@list @t27 @t28 @t30))) % 0.83/1.03 (step @p32 :rule instantiate :premises (@p2) :args ((@list tptp.one @t35 @t29))) % 0.83/1.03 (step @p33 :rule instantiate :premises (@p1) :args ((@list @t29 @t36))) % 0.83/1.03 (step @p34 :rule eq-symm :args (@t8 @t1)) % 0.83/1.03 (step @p35 :rule cong :premises (@p34) :args (@t9)) % 0.83/1.03 (step @p36 :rule eq_resolve :premises (@p4 @p35)) % 0.83/1.03 (step @p37 :rule instantiate :premises (@p36) :args ((@list tptp.one))) % 0.83/1.03 (step @p38 :rule instantiate :premises (@p25) :args ((@list @t36 @t30))) % 0.83/1.03 (step @p39 :rule bool-impl-elim :args (@t22 @t20)) % 0.83/1.03 (step @p40 :rule cong :premises (@p39) :args (@t23)) % 0.83/1.03 (step @p41 :rule eq_resolve :premises (@p15 @p40)) % 0.83/1.03 (step @p42 :rule instantiate :premises (@p41) :args ((@list @t27 @t30 tptp.one))) % 0.83/1.03 (step @p43 :rule skolemize :premises (@p17)) % 0.83/1.03 (step @p44 :rule false_intro :premises (@p43)) % 0.83/1.03 (step @p45 :rule refl :args (@t30)) % 0.83/1.03 (step @p46 :rule eq-symm :args (@t13 @t1)) % 0.83/1.03 (step @p47 :rule cong :premises (@p46) :args (@t14)) % 0.83/1.03 (step @p48 :rule eq_resolve :premises (@p6 @p47)) % 0.83/1.03 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t28))) % 0.83/1.03 (step @p50 :rule symm :premises (@p49)) % 0.83/1.03 (step @p51 :rule cong :premises (@p50 @p45) :args (@t37)) % 0.83/1.03 (step @p52 :rule trans :premises (@p51 @p44)) % 0.83/1.03 (step @p53 :rule false_elim :premises (@p52)) % 0.83/1.03 (step @p54 :rule cnf_or_pos :args (@t40)) % 0.83/1.03 (step @p55 :rule reordering :premises (@p54) :args ((or @t39 @t37 (not @t40)))) % 0.83/1.03 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p42) :args (@t39 @t41 (@list @t37 @t40))) % 0.83/1.03 (step @p57 :rule cnf_equiv_pos2 :args (@t44)) % 0.83/1.03 (step @p58 :rule reordering :premises (@p57) :args ((or @t38 @t45 (not @t44)))) % 0.83/1.03 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p38) :args (@t45 @t41 (@list @t38 @t44))) % 0.83/1.03 (step @p60 :rule instantiate :premises (@p2) :args ((@list tptp.one tptp.one @t35))) % 0.83/1.03 (step @p61 :rule instantiate :premises (@p2) :args ((@list @t29 tptp.one @t36))) % 0.83/1.03 (assume-push @p101 @t47) % 0.83/1.03 (assume-push @p102 @t49) % 0.83/1.03 (assume-push @p103 @t32) % 0.83/1.03 (assume-push @p104 @t51) % 0.83/1.03 (assume-push @p105 @t53) % 0.83/1.03 (assume-push @p106 @t55) % 0.83/1.03 (assume-push @p107 @t57) % 0.83/1.03 (assume-push @p108 @t59) % 0.83/1.03 (assume-push @p109 @t60) % 0.83/1.03 (step @p71 :rule symm :premises (@p61)) % 0.83/1.03 (step @p72 :rule refl :args (@t29)) % 0.83/1.03 (step @p73 :rule refl :args (@t35)) % 0.83/1.03 (step @p74 :rule cong :premises (@p73 @p37) :args (@t36)) % 0.83/1.03 (step @p75 :rule trans :premises (@p74 @p60)) % 0.83/1.03 (step @p76 :rule cong :premises (@p75 @p72) :args (@t54)) % 0.83/1.03 (step @p77 :rule symm :premises (@p32)) % 0.83/1.03 (step @p78 :rule refl :args (tptp.one)) % 0.83/1.03 (step @p79 :rule symm :premises (@p20)) % 0.83/1.03 (step @p80 :rule trans :premises (@p30 @p79)) % 0.83/1.03 (step @p81 :rule refl :args (@t27)) % 0.83/1.03 (step @p82 :rule cong :premises (@p81 @p80) :args (@t29)) % 0.83/1.03 (step @p83 :rule trans :premises (@p82 @p31)) % 0.83/1.03 (step @p84 :rule cong :premises (@p83 @p78) :args (@t46)) % 0.83/1.03 (step @p85 :rule trans :premises (@p19 @p84 @p77 @p33 @p76 @p71)) % 0.83/1.03 (step-pop @p110 :rule scope :premises (@p85)) % 0.83/1.03 (step-pop @p111 :rule scope :premises (@p110)) % 0.83/1.03 (step-pop @p112 :rule scope :premises (@p111)) % 0.83/1.03 (step-pop @p113 :rule scope :premises (@p112)) % 0.83/1.03 (step-pop @p114 :rule scope :premises (@p113)) % 0.83/1.03 (step-pop @p115 :rule scope :premises (@p114)) % 0.83/1.03 (step-pop @p116 :rule scope :premises (@p115)) % 0.83/1.03 (step-pop @p117 :rule scope :premises (@p116)) % 0.83/1.03 (step-pop @p118 :rule scope :premises (@p117)) % 0.83/1.03 (step @p86 :rule process_scope :premises (@p118) :args (@t43)) % 0.83/1.03 (step @p96 :rule implies_elim :premises (@p86)) % 0.83/1.03 (step @p97 :rule cnf_and_neg :args (@t61)) % 0.83/1.03 (step @p98 :rule resolution :premises (@p97 @p96) :args (true @t61)) % 0.83/1.03 (step @p99 :rule reordering :premises (@p98) :args ((or (not @t47) (not @t49) (not @t32) (not @t51) (not @t53) @t43 (not @t55) (not @t57) (not @t59) (not @t60)))) % 0.83/1.03 (step @p100 false :rule chain_m_resolution :premises (@p99 @p61 @p60 @p59 @p37 @p33 @p32 @p31 @p30 @p20 @p19) :args (false (@list false false true false false false false false false false) (@list @t60 @t59 @t43 @t57 @t55 @t53 @t51 @t32 @t49 @t47))) % 0.83/1.03 ) % 0.83/1.03 % SZS output end Proof % 0.83/1.03 % cvc5 exiting %------------------------------------------------------------------------------