%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE146+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 : n004.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 08:28:23 AM UTC 2026 % Result : Theorem 0.45s 0.65s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE146+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 : n004.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 05:19:37 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.65 % SZS status Theorem % 0.45/0.65 % SZS output start Proof % 0.45/0.65 ( % 0.45/0.65 (declare-sort $$unsorted 0) % 0.45/0.65 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.zero $$unsorted) % 0.45/0.65 (declare-const tptp.one $$unsorted) % 0.45/0.65 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (define @t1 () (@var "A" $$unsorted)) % 0.45/0.65 (define @t2 () (@var "B" $$unsorted)) % 0.45/0.65 (define @t3 () (tptp.addition @t1 @t2)) % 0.45/0.65 (define @t4 () (@list @t1 @t2)) % 0.45/0.65 (define @t5 () (@var "C" $$unsorted)) % 0.45/0.65 (define @t6 () (tptp.addition @t2 @t5)) % 0.45/0.65 (define @t7 () (@list @t1)) % 0.45/0.65 (define @t8 () (tptp.addition @t1 @t1)) % 0.45/0.65 (define @t9 () (forall @t7 (= @t8 @t1))) % 0.45/0.65 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.45/0.65 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.45/0.65 (define @t12 () (@list @t1 @t2 @t5)) % 0.45/0.65 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 0.45/0.65 (define @t14 () (forall @t7 (= @t13 @t1))) % 0.45/0.65 (define @t15 () (tptp.multiplication @t1 @t5)) % 0.45/0.65 (define @t16 () (tptp.star @t1)) % 0.45/0.65 (define @t17 () (tptp.addition tptp.one (tptp.multiplication @t16 @t1))) % 0.45/0.65 (define @t18 () (forall @t7 (= @t17 @t16))) % 0.45/0.65 (define @t19 () (tptp.addition @t15 @t2)) % 0.45/0.65 (define @t20 () (tptp.strong_iteration @t1)) % 0.45/0.65 (define @t21 () (tptp.leq @t1 @t2)) % 0.45/0.65 (define @t22 () (= @t21 (= @t3 @t2))) % 0.45/0.65 (define @t23 () (forall @t4 @t22)) % 0.45/0.65 (define @t24 () (@var "X0" $$unsorted)) % 0.45/0.65 (define @t25 () (forall (@list @t24) (tptp.leq tptp.one (tptp.strong_iteration @t24)))) % 0.45/0.65 (define @t26 () (@quantifiers_skolemize @t25 0)) % 0.45/0.65 (define @t27 () (@list @t26)) % 0.45/0.65 (define @t28 () (tptp.strong_iteration @t26)) % 0.45/0.65 (define @t29 () (@list tptp.one @t28)) % 0.45/0.65 (define @t30 () (tptp.addition tptp.one @t28)) % 0.45/0.65 (define @t31 () (= @t28 @t30)) % 0.45/0.65 (define @t32 () (tptp.leq tptp.one @t28)) % 0.45/0.65 (define @t33 () (= @t32 @t31)) % 0.45/0.65 (define @t34 () (not @t31)) % 0.45/0.65 (define @t35 () (tptp.multiplication @t28 tptp.zero)) % 0.45/0.65 (define @t36 () (tptp.star @t26)) % 0.45/0.65 (define @t37 () (tptp.multiplication @t36 @t26)) % 0.45/0.65 (define @t38 () (tptp.addition tptp.one tptp.one)) % 0.45/0.65 (define @t39 () (tptp.multiplication @t35 tptp.one)) % 0.45/0.65 (define @t40 () (tptp.multiplication @t36 tptp.one)) % 0.45/0.65 (define @t41 () (tptp.addition @t36 @t35)) % 0.45/0.65 (define @t42 () (= @t28 @t41)) % 0.45/0.65 (define @t43 () (= @t30 (tptp.addition @t28 tptp.one))) % 0.45/0.65 (define @t44 () (tptp.addition @t35 @t36)) % 0.45/0.65 (define @t45 () (= @t41 @t44)) % 0.45/0.65 (define @t46 () (tptp.addition tptp.one @t37)) % 0.45/0.65 (define @t47 () (= @t36 @t46)) % 0.45/0.65 (define @t48 () (tptp.addition @t36 tptp.one)) % 0.45/0.65 (define @t49 () (= (tptp.addition tptp.one @t36) @t48)) % 0.45/0.65 (define @t50 () (tptp.addition @t37 tptp.one)) % 0.45/0.65 (define @t51 () (= @t46 @t50)) % 0.45/0.65 (define @t52 () (tptp.addition @t38 @t37)) % 0.45/0.65 (define @t53 () (tptp.addition tptp.one @t46)) % 0.45/0.65 (define @t54 () (= @t53 @t52)) % 0.45/0.65 (define @t55 () (= @t28 (tptp.multiplication @t28 tptp.one))) % 0.45/0.65 (define @t56 () (= @t36 @t40)) % 0.45/0.65 (define @t57 () (tptp.addition @t39 @t40)) % 0.45/0.65 (define @t58 () (tptp.multiplication @t44 tptp.one)) % 0.45/0.65 (define @t59 () (= @t58 @t57)) % 0.45/0.65 (define @t60 () (= @t52 (tptp.addition @t37 @t38))) % 0.45/0.65 (define @t61 () (tptp.addition @t57 tptp.one)) % 0.45/0.65 (define @t62 () (= (tptp.addition @t39 (tptp.addition @t40 tptp.one)) @t61)) % 0.45/0.65 (define @t63 () (= tptp.one @t38)) % 0.45/0.65 (define @t64 () (and @t42 @t43 @t45 @t47 @t49 @t51 @t54 @t55 @t56 @t59 @t60 @t62 @t63)) % 0.45/0.65 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.45/0.65 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.45/0.65 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.45/0.65 (assume @p4 @t9) % 0.45/0.65 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.45/0.65 (assume @p6 @t14) % 0.45/0.65 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.45/0.65 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t15)))) % 0.45/0.65 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t15 @t11)))) % 0.45/0.65 (assume @p10 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.45/0.65 (assume @p11 (forall @t7 (= (tptp.addition tptp.one (tptp.multiplication @t1 @t16)) @t16))) % 0.45/0.65 (assume @p12 @t18) % 0.45/0.65 (assume @p13 (forall @t12 (=> (tptp.leq @t19 @t5) (tptp.leq (tptp.multiplication @t16 @t2) @t5)))) % 0.45/0.65 (assume @p14 (forall @t12 (=> (tptp.leq (tptp.addition (tptp.multiplication @t5 @t1) @t2) @t5) (tptp.leq (tptp.multiplication @t2 @t16) @t5)))) % 0.45/0.65 (assume @p15 (forall @t7 (= @t20 (tptp.addition (tptp.multiplication @t1 @t20) tptp.one)))) % 0.45/0.65 (assume @p16 (forall @t12 (=> (tptp.leq @t5 @t19) (tptp.leq @t5 (tptp.multiplication @t20 @t2))))) % 0.45/0.65 (assume @p17 (forall @t7 (= @t20 (tptp.addition @t16 (tptp.multiplication @t20 tptp.zero))))) % 0.45/0.65 (assume @p18 @t23) % 0.45/0.65 (assume @p19 (not @t25)) % 0.45/0.65 (assume @p20 true) % 0.45/0.65 (step @p21 :rule instantiate :premises (@p17) :args (@t27)) % 0.45/0.65 (step @p22 :rule eq-symm :args (@t3 @t2)) % 0.45/0.65 (step @p23 :rule refl :args (@t21)) % 0.45/0.65 (step @p24 :rule cong :premises (@p23 @p22) :args (@t22)) % 0.45/0.65 (step @p25 :rule cong :premises (@p24) :args (@t23)) % 0.45/0.65 (step @p26 :rule eq_resolve :premises (@p18 @p25)) % 0.45/0.65 (step @p27 :rule instantiate :premises (@p26) :args (@t29)) % 0.45/0.65 (step @p28 :rule skolemize :premises (@p19)) % 0.45/0.65 (step @p29 :rule cnf_equiv_pos2 :args (@t33)) % 0.45/0.65 (step @p30 :rule reordering :premises (@p29) :args ((or @t32 @t34 (not @t33)))) % 0.45/0.65 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p27) :args (@t34 (@list true false) (@list @t32 @t33))) % 0.45/0.65 (step @p32 :rule instantiate :premises (@p1) :args (@t29)) % 0.45/0.65 (step @p33 :rule instantiate :premises (@p1) :args ((@list @t36 @t35))) % 0.45/0.65 (step @p34 :rule eq-symm :args (@t17 @t16)) % 0.45/0.65 (step @p35 :rule cong :premises (@p34) :args (@t18)) % 0.45/0.65 (step @p36 :rule eq_resolve :premises (@p12 @p35)) % 0.45/0.65 (step @p37 :rule instantiate :premises (@p36) :args (@t27)) % 0.45/0.65 (step @p38 :rule instantiate :premises (@p1) :args ((@list tptp.one @t36))) % 0.45/0.65 (step @p39 :rule instantiate :premises (@p1) :args ((@list tptp.one @t37))) % 0.45/0.65 (step @p40 :rule instantiate :premises (@p2) :args ((@list @t37 tptp.one tptp.one))) % 0.45/0.65 (step @p41 :rule eq-symm :args (@t13 @t1)) % 0.45/0.65 (step @p42 :rule cong :premises (@p41) :args (@t14)) % 0.45/0.65 (step @p43 :rule eq_resolve :premises (@p6 @p42)) % 0.45/0.65 (step @p44 :rule instantiate :premises (@p43) :args ((@list @t28))) % 0.45/0.65 (step @p45 :rule instantiate :premises (@p43) :args ((@list @t36))) % 0.45/0.65 (step @p46 :rule instantiate :premises (@p9) :args ((@list @t35 @t36 tptp.one))) % 0.45/0.65 (step @p47 :rule instantiate :premises (@p1) :args ((@list @t38 @t37))) % 0.45/0.65 (step @p48 :rule instantiate :premises (@p2) :args ((@list tptp.one @t40 @t39))) % 0.45/0.65 (step @p49 :rule eq-symm :args (@t8 @t1)) % 0.45/0.65 (step @p50 :rule cong :premises (@p49) :args (@t9)) % 0.45/0.65 (step @p51 :rule eq_resolve :premises (@p4 @p50)) % 0.45/0.65 (step @p52 :rule instantiate :premises (@p51) :args ((@list tptp.one))) % 0.45/0.65 (assume-push @p108 @t42) % 0.45/0.65 (assume-push @p109 @t43) % 0.45/0.65 (assume-push @p110 @t45) % 0.45/0.65 (assume-push @p111 @t47) % 0.45/0.65 (assume-push @p112 @t49) % 0.45/0.65 (assume-push @p113 @t51) % 0.45/0.65 (assume-push @p114 @t54) % 0.45/0.65 (assume-push @p115 @t55) % 0.45/0.65 (assume-push @p116 @t56) % 0.45/0.65 (assume-push @p117 @t59) % 0.45/0.65 (assume-push @p118 @t60) % 0.45/0.65 (assume-push @p119 @t62) % 0.45/0.65 (assume-push @p120 @t63) % 0.45/0.65 (step @p66 :rule symm :premises (@p32)) % 0.45/0.65 (step @p67 :rule refl :args (tptp.one)) % 0.45/0.65 (step @p68 :rule symm :premises (@p44)) % 0.45/0.65 (step @p69 :rule symm :premises (@p21)) % 0.45/0.65 (step @p70 :rule symm :premises (@p33)) % 0.45/0.65 (step @p71 :rule trans :premises (@p70 @p69)) % 0.45/0.65 (step @p72 :rule cong :premises (@p71 @p67) :args (@t58)) % 0.45/0.65 (step @p73 :rule symm :premises (@p46)) % 0.45/0.65 (step @p74 :rule trans :premises (@p73 @p72 @p68)) % 0.45/0.65 (step @p75 :rule cong :premises (@p74 @p67) :args (@t61)) % 0.45/0.65 (step @p76 :rule cong :premises (@p45 @p67) :args (@t48)) % 0.45/0.65 (step @p77 :rule symm :premises (@p37)) % 0.45/0.65 (step @p78 :rule cong :premises (@p67 @p77) :args (@t53)) % 0.45/0.65 (step @p79 :rule symm :premises (@p40)) % 0.45/0.65 (step @p80 :rule symm :premises (@p47)) % 0.45/0.65 (step @p81 :rule refl :args (@t37)) % 0.45/0.65 (step @p82 :rule cong :premises (@p81 @p52) :args (@t50)) % 0.45/0.65 (step @p83 :rule symm :premises (@p45)) % 0.45/0.65 (step @p84 :rule trans :premises (@p83 @p37 @p39 @p82 @p80 @p79 @p78 @p38 @p76)) % 0.45/0.65 (step @p85 :rule refl :args (@t39)) % 0.45/0.65 (step @p86 :rule cong :premises (@p85 @p84) :args (@t57)) % 0.45/0.65 (step @p87 :rule symm :premises (@p72)) % 0.45/0.65 (step @p88 :rule trans :premises (@p44 @p87 @p46 @p86 @p48 @p75 @p66)) % 0.45/0.65 (step-pop @p121 :rule scope :premises (@p88)) % 0.45/0.65 (step-pop @p122 :rule scope :premises (@p121)) % 0.45/0.65 (step-pop @p123 :rule scope :premises (@p122)) % 0.45/0.65 (step-pop @p124 :rule scope :premises (@p123)) % 0.45/0.65 (step-pop @p125 :rule scope :premises (@p124)) % 0.45/0.65 (step-pop @p126 :rule scope :premises (@p125)) % 0.45/0.65 (step-pop @p127 :rule scope :premises (@p126)) % 0.45/0.65 (step-pop @p128 :rule scope :premises (@p127)) % 0.45/0.65 (step-pop @p129 :rule scope :premises (@p128)) % 0.45/0.65 (step-pop @p130 :rule scope :premises (@p129)) % 0.45/0.65 (step-pop @p131 :rule scope :premises (@p130)) % 0.45/0.65 (step-pop @p132 :rule scope :premises (@p131)) % 0.45/0.65 (step-pop @p133 :rule scope :premises (@p132)) % 0.45/0.65 (step @p89 :rule process_scope :premises (@p133) :args (@t31)) % 0.45/0.65 (step @p103 :rule implies_elim :premises (@p89)) % 0.45/0.65 (step @p104 :rule cnf_and_neg :args (@t64)) % 0.45/0.65 (step @p105 :rule resolution :premises (@p104 @p103) :args (true @t64)) % 0.45/0.65 (step @p106 :rule reordering :premises (@p105) :args ((or @t31 (not @t42) (not @t43) (not @t45) (not @t47) (not @t49) (not @t51) (not @t54) (not @t55) (not @t56) (not @t59) (not @t60) (not @t62) (not @t63)))) % 0.45/0.65 (step @p107 false :rule chain_m_resolution :premises (@p106 @p52 @p48 @p47 @p46 @p45 @p44 @p40 @p39 @p38 @p37 @p33 @p32 @p31 @p21) :args (false (@list false false false false false false false false false false false false true false) (@list @t63 @t62 @t60 @t59 @t56 @t55 @t54 @t51 @t49 @t47 @t45 @t43 @t31 @t42))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------