%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE139+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 : n009.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 08:28:22 AM UTC 2026 % Result : Theorem 0.53s 0.75s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE139+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n009.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 05:19:29 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.75 % SZS status Theorem % 0.53/0.75 % SZS output start Proof % 0.53/0.75 ( % 0.53/0.75 (declare-sort $$unsorted 0) % 0.53/0.75 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 0.53/0.75 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 0.53/0.75 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.53/0.75 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.75 (declare-const tptp.zero $$unsorted) % 0.53/0.75 (declare-const tptp.one $$unsorted) % 0.53/0.75 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.75 (define @t1 () (@var "A" $$unsorted)) % 0.53/0.75 (define @t2 () (@var "B" $$unsorted)) % 0.53/0.75 (define @t3 () (tptp.addition @t1 @t2)) % 0.53/0.75 (define @t4 () (@list @t1 @t2)) % 0.53/0.75 (define @t5 () (@var "C" $$unsorted)) % 0.53/0.75 (define @t6 () (tptp.addition @t2 @t5)) % 0.53/0.75 (define @t7 () (@list @t1)) % 0.53/0.75 (define @t8 () (tptp.multiplication @t1 @t2)) % 0.53/0.75 (define @t9 () (tptp.multiplication @t2 @t5)) % 0.53/0.75 (define @t10 () (@list @t1 @t2 @t5)) % 0.53/0.75 (define @t11 () (forall @t10 (= (tptp.multiplication @t1 @t9) (tptp.multiplication @t8 @t5)))) % 0.53/0.75 (define @t12 () (tptp.multiplication @t1 tptp.one)) % 0.53/0.75 (define @t13 () (forall @t7 (= @t12 @t1))) % 0.53/0.75 (define @t14 () (tptp.multiplication tptp.one @t1)) % 0.53/0.75 (define @t15 () (forall @t7 (= @t14 @t1))) % 0.53/0.75 (define @t16 () (tptp.multiplication @t1 @t5)) % 0.53/0.75 (define @t17 () (tptp.multiplication tptp.zero @t1)) % 0.53/0.75 (define @t18 () (forall @t7 (= @t17 tptp.zero))) % 0.53/0.75 (define @t19 () (tptp.star @t1)) % 0.53/0.75 (define @t20 () (tptp.addition tptp.one (tptp.multiplication @t19 @t1))) % 0.53/0.75 (define @t21 () (forall @t7 (= @t20 @t19))) % 0.53/0.75 (define @t22 () (tptp.addition @t16 @t2)) % 0.53/0.75 (define @t23 () (tptp.strong_iteration @t1)) % 0.53/0.75 (define @t24 () (@var "X0" $$unsorted)) % 0.53/0.75 (define @t25 () (tptp.strong_iteration @t24)) % 0.53/0.75 (define @t26 () (forall (@list @t24) (= @t25 (tptp.addition (tptp.multiplication @t25 @t24) tptp.one)))) % 0.53/0.75 (define @t27 () (@quantifiers_skolemize @t26 0)) % 0.53/0.75 (define @t28 () (tptp.strong_iteration @t27)) % 0.53/0.75 (define @t29 () (tptp.multiplication @t28 @t27)) % 0.53/0.75 (define @t30 () (@list @t27)) % 0.53/0.75 (define @t31 () (tptp.multiplication @t28 tptp.zero)) % 0.53/0.75 (define @t32 () (tptp.star @t27)) % 0.53/0.75 (define @t33 () (tptp.multiplication @t32 @t27)) % 0.53/0.75 (define @t34 () (tptp.multiplication @t31 @t27)) % 0.53/0.75 (define @t35 () (tptp.multiplication tptp.zero @t27)) % 0.53/0.75 (define @t36 () (tptp.multiplication @t28 @t35)) % 0.53/0.75 (define @t37 () (= @t36 @t34)) % 0.53/0.75 (define @t38 () (@list @t28 tptp.zero @t27)) % 0.53/0.75 (define @t39 () (= @t34 @t36)) % 0.53/0.75 (define @t40 () (tptp.multiplication @t31 tptp.zero)) % 0.53/0.75 (define @t41 () (tptp.multiplication @t32 tptp.zero)) % 0.53/0.75 (define @t42 () (tptp.addition @t29 tptp.one)) % 0.53/0.75 (define @t43 () (= @t42 (tptp.addition tptp.one @t29))) % 0.53/0.75 (define @t44 () (tptp.addition @t32 @t31)) % 0.53/0.75 (define @t45 () (= @t28 @t44)) % 0.53/0.75 (define @t46 () (tptp.addition @t33 @t34)) % 0.53/0.75 (define @t47 () (tptp.multiplication @t44 @t27)) % 0.53/0.75 (define @t48 () (= @t47 @t46)) % 0.53/0.75 (define @t49 () (tptp.addition @t41 @t40)) % 0.53/0.75 (define @t50 () (tptp.multiplication @t44 tptp.zero)) % 0.53/0.75 (define @t51 () (= @t50 @t49)) % 0.53/0.75 (define @t52 () (tptp.addition tptp.one @t33)) % 0.53/0.75 (define @t53 () (= @t32 @t52)) % 0.53/0.75 (define @t54 () (tptp.addition tptp.one @t46)) % 0.53/0.75 (define @t55 () (= @t54 (tptp.addition @t52 @t34))) % 0.53/0.75 (define @t56 () (tptp.multiplication @t28 tptp.one)) % 0.53/0.75 (define @t57 () (= @t28 @t56)) % 0.53/0.75 (define @t58 () (tptp.addition (tptp.multiplication @t41 @t27) (tptp.multiplication @t40 @t27))) % 0.53/0.75 (define @t59 () (tptp.multiplication @t49 @t27)) % 0.53/0.75 (define @t60 () (= @t59 @t58)) % 0.53/0.75 (define @t61 () (tptp.multiplication tptp.one tptp.zero)) % 0.53/0.75 (define @t62 () (tptp.multiplication @t28 @t61)) % 0.53/0.75 (define @t63 () (= @t62 (tptp.multiplication @t56 tptp.zero))) % 0.53/0.75 (define @t64 () (= tptp.zero @t61)) % 0.53/0.75 (define @t65 () (= tptp.zero @t35)) % 0.53/0.75 (define @t66 () (= @t28 @t42)) % 0.53/0.75 (define @t67 () (and @t43 @t45 @t48 @t51 @t53 @t55 @t39 @t57 @t60 @t63 @t64 @t65)) % 0.53/0.75 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.53/0.75 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.53/0.75 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.53/0.75 (assume @p4 (forall @t7 (= (tptp.addition @t1 @t1) @t1))) % 0.53/0.75 (assume @p5 @t11) % 0.53/0.75 (assume @p6 @t13) % 0.53/0.75 (assume @p7 @t15) % 0.53/0.75 (assume @p8 (forall @t10 (= (tptp.multiplication @t1 @t6) (tptp.addition @t8 @t16)))) % 0.53/0.75 (assume @p9 (forall @t10 (= (tptp.multiplication @t3 @t5) (tptp.addition @t16 @t9)))) % 0.53/0.75 (assume @p10 @t18) % 0.53/0.75 (assume @p11 (forall @t7 (= (tptp.addition tptp.one (tptp.multiplication @t1 @t19)) @t19))) % 0.53/0.75 (assume @p12 @t21) % 0.53/0.75 (assume @p13 (forall @t10 (=> (tptp.leq @t22 @t5) (tptp.leq (tptp.multiplication @t19 @t2) @t5)))) % 0.53/0.75 (assume @p14 (forall @t10 (=> (tptp.leq (tptp.addition (tptp.multiplication @t5 @t1) @t2) @t5) (tptp.leq (tptp.multiplication @t2 @t19) @t5)))) % 0.53/0.75 (assume @p15 (forall @t7 (= @t23 (tptp.addition (tptp.multiplication @t1 @t23) tptp.one)))) % 0.53/0.75 (assume @p16 (forall @t10 (=> (tptp.leq @t5 @t22) (tptp.leq @t5 (tptp.multiplication @t23 @t2))))) % 0.53/0.75 (assume @p17 (forall @t7 (= @t23 (tptp.addition @t19 (tptp.multiplication @t23 tptp.zero))))) % 0.53/0.75 (assume @p18 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.53/0.75 (assume @p19 (not @t26)) % 0.53/0.75 (assume @p20 true) % 0.53/0.75 (step @p21 :rule skolemize :premises (@p19)) % 0.53/0.75 (step @p22 :rule instantiate :premises (@p1) :args ((@list @t29 tptp.one))) % 0.53/0.75 (step @p23 :rule instantiate :premises (@p17) :args (@t30)) % 0.53/0.75 (step @p24 :rule instantiate :premises (@p9) :args ((@list @t32 @t31 @t27))) % 0.53/0.75 (step @p25 :rule instantiate :premises (@p9) :args ((@list @t32 @t31 tptp.zero))) % 0.53/0.75 (step @p26 :rule eq-symm :args (@t20 @t19)) % 0.53/0.75 (step @p27 :rule cong :premises (@p26) :args (@t21)) % 0.53/0.75 (step @p28 :rule eq_resolve :premises (@p12 @p27)) % 0.53/0.75 (step @p29 :rule instantiate :premises (@p28) :args (@t30)) % 0.53/0.75 (step @p30 :rule instantiate :premises (@p2) :args ((@list @t34 @t33 tptp.one))) % 0.53/0.75 (step @p31 :rule eq-symm :args (@t36 @t34)) % 0.53/0.75 (step @p32 :rule refl :args (@t11)) % 0.53/0.75 (step @p33 :rule cong :premises (@p32 @p31) :args ((=> @t11 @t37))) % 0.53/0.75 (assume-push @p115 @t11) % 0.53/0.75 (step @p35 :rule instantiate :premises (@p5) :args (@t38)) % 0.53/0.75 (step-pop @p116 :rule scope :premises (@p35)) % 0.53/0.75 (step @p36 :rule process_scope :premises (@p116) :args (@t37)) % 0.53/0.75 (step @p38 :rule eq_resolve :premises (@p36 @p33)) % 0.53/0.75 (step @p39 :rule implies_elim :premises (@p38)) % 0.53/0.75 (step @p40 :rule chain_m_resolution :premises (@p39 @p5) :args (@t39 (@list false) (@list @t11))) % 0.53/0.75 (step @p41 :rule eq-symm :args (@t12 @t1)) % 0.53/0.75 (step @p42 :rule cong :premises (@p41) :args (@t13)) % 0.53/0.75 (step @p43 :rule eq_resolve :premises (@p6 @p42)) % 0.53/0.75 (step @p44 :rule instantiate :premises (@p43) :args ((@list @t28))) % 0.53/0.75 (step @p45 :rule instantiate :premises (@p9) :args ((@list @t41 @t40 @t27))) % 0.53/0.75 (step @p46 :rule instantiate :premises (@p5) :args ((@list @t28 tptp.one tptp.zero))) % 0.53/0.75 (step @p47 :rule eq-symm :args (@t14 @t1)) % 0.53/0.75 (step @p48 :rule cong :premises (@p47) :args (@t15)) % 0.53/0.75 (step @p49 :rule eq_resolve :premises (@p7 @p48)) % 0.53/0.75 (step @p50 :rule instantiate :premises (@p49) :args ((@list tptp.zero))) % 0.53/0.75 (step @p51 :rule eq-symm :args (@t17 tptp.zero)) % 0.53/0.75 (step @p52 :rule cong :premises (@p51) :args (@t18)) % 0.53/0.75 (step @p53 :rule eq_resolve :premises (@p10 @p52)) % 0.53/0.75 (step @p54 :rule instantiate :premises (@p53) :args (@t30)) % 0.53/0.75 (assume-push @p117 @t43) % 0.53/0.75 (assume-push @p118 @t45) % 0.53/0.75 (assume-push @p119 @t48) % 0.53/0.75 (assume-push @p120 @t51) % 0.53/0.75 (assume-push @p121 @t53) % 0.53/0.75 (assume-push @p122 @t55) % 0.53/0.75 (assume-push @p123 @t39) % 0.53/0.75 (assume-push @p124 @t57) % 0.53/0.75 (assume-push @p125 @t60) % 0.53/0.75 (assume-push @p126 @t63) % 0.53/0.75 (assume-push @p127 @t64) % 0.53/0.75 (assume-push @p128 @t65) % 0.53/0.75 (step @p67 :rule symm :premises (@p22)) % 0.53/0.75 (step @p68 :rule refl :args (@t27)) % 0.53/0.75 (step @p69 :rule symm :premises (@p23)) % 0.53/0.75 (step @p70 :rule cong :premises (@p69 @p68) :args (@t47)) % 0.53/0.75 (step @p71 :rule symm :premises (@p24)) % 0.53/0.75 (step @p72 :rule trans :premises (@p71 @p70)) % 0.53/0.75 (step @p73 :rule refl :args (tptp.one)) % 0.53/0.75 (step @p74 :rule cong :premises (@p73 @p72) :args (@t54)) % 0.53/0.75 (step @p75 :rule symm :premises (@p30)) % 0.53/0.75 (step @p76 :rule refl :args (tptp.zero)) % 0.53/0.75 (step @p77 :rule cong :premises (@p69 @p76) :args (@t50)) % 0.53/0.75 (step @p78 :rule symm :premises (@p25)) % 0.53/0.75 (step @p79 :rule trans :premises (@p78 @p77)) % 0.53/0.75 (step @p80 :rule cong :premises (@p79 @p68) :args (@t59)) % 0.53/0.75 (step @p81 :rule symm :premises (@p45)) % 0.53/0.75 (step @p82 :rule trans :premises (@p81 @p80)) % 0.53/0.75 (step @p83 :rule refl :args (@t52)) % 0.53/0.75 (step @p84 :rule cong :premises (@p83 @p82) :args ((tptp.addition @t52 @t58))) % 0.53/0.75 (step @p85 :rule symm :premises (@p80)) % 0.53/0.75 (step @p35 :rule instantiate :premises (@p5) :args (@t38)) % 0.53/0.75 (step @p86 :rule refl :args (@t35)) % 0.53/0.75 (step @p87 :rule symm :premises (@p44)) % 0.53/0.75 (step @p88 :rule cong :premises (@p87 @p86) :args ((tptp.multiplication @t56 @t35))) % 0.53/0.75 (step @p89 :rule symm :premises (@p50)) % 0.53/0.75 (step @p90 :rule trans :premises (@p89 @p54)) % 0.53/0.75 (step @p91 :rule cong :premises (@p44 @p90) :args (@t62)) % 0.53/0.75 (step @p92 :rule symm :premises (@p46)) % 0.53/0.75 (step @p93 :rule cong :premises (@p44 @p76) :args (@t31)) % 0.53/0.75 (step @p94 :rule trans :premises (@p93 @p92 @p91 @p88 @p35 @p85 @p45)) % 0.53/0.75 (step @p95 :rule cong :premises (@p29 @p94) :args (@t44)) % 0.53/0.75 (step @p96 :rule trans :premises (@p23 @p95 @p84 @p75 @p74 @p67)) % 0.53/0.75 (step-pop @p129 :rule scope :premises (@p96)) % 0.53/0.75 (step-pop @p130 :rule scope :premises (@p129)) % 0.53/0.75 (step-pop @p131 :rule scope :premises (@p130)) % 0.53/0.75 (step-pop @p132 :rule scope :premises (@p131)) % 0.53/0.75 (step-pop @p133 :rule scope :premises (@p132)) % 0.53/0.75 (step-pop @p134 :rule scope :premises (@p133)) % 0.53/0.75 (step-pop @p135 :rule scope :premises (@p134)) % 0.53/0.75 (step-pop @p136 :rule scope :premises (@p135)) % 0.53/0.75 (step-pop @p137 :rule scope :premises (@p136)) % 0.53/0.75 (step-pop @p138 :rule scope :premises (@p137)) % 0.53/0.75 (step-pop @p139 :rule scope :premises (@p138)) % 0.53/0.75 (step-pop @p140 :rule scope :premises (@p139)) % 0.53/0.75 (step @p97 :rule process_scope :premises (@p140) :args (@t66)) % 0.53/0.75 (step @p110 :rule implies_elim :premises (@p97)) % 0.53/0.75 (step @p111 :rule cnf_and_neg :args (@t67)) % 0.53/0.75 (step @p112 :rule resolution :premises (@p111 @p110) :args (true @t67)) % 0.53/0.75 (step @p113 :rule reordering :premises (@p112) :args ((or @t66 (not @t43) (not @t45) (not @t48) (not @t51) (not @t53) (not @t55) (not @t39) (not @t57) (not @t60) (not @t63) (not @t64) (not @t65)))) % 0.53/0.75 (step @p114 false :rule chain_m_resolution :premises (@p113 @p54 @p50 @p46 @p45 @p44 @p40 @p30 @p29 @p25 @p24 @p23 @p22 @p21) :args (false (@list false false false false false false false false false false false false true) (@list @t65 @t64 @t63 @t60 @t57 @t39 @t55 @t53 @t51 @t48 @t45 @t43 @t66))) % 0.53/0.75 ) % 0.53/0.75 % SZS output end Proof % 0.53/0.75 % cvc5 exiting %------------------------------------------------------------------------------