%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE065+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 : 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 08:28:14 AM UTC 2026 % Result : Theorem 0.40s 0.60s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE065+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 % 0.18/0.35 % Computer : n017.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 05:11:01 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.60 % SZS status Theorem % 0.40/0.60 % SZS output start Proof % 0.40/0.60 ( % 0.40/0.60 (declare-sort $$unsorted 0) % 0.40/0.60 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.zero $$unsorted) % 0.40/0.60 (declare-const tptp.one $$unsorted) % 0.40/0.60 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (define @t1 () (@var "A" $$unsorted)) % 0.40/0.60 (define @t2 () (@var "B" $$unsorted)) % 0.40/0.60 (define @t3 () (tptp.addition @t1 @t2)) % 0.40/0.60 (define @t4 () (@list @t1 @t2)) % 0.40/0.60 (define @t5 () (@var "C" $$unsorted)) % 0.40/0.60 (define @t6 () (tptp.addition @t2 @t5)) % 0.40/0.60 (define @t7 () (tptp.addition @t1 tptp.zero)) % 0.40/0.60 (define @t8 () (@list @t1)) % 0.40/0.60 (define @t9 () (forall @t8 (= @t7 @t1))) % 0.40/0.60 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.40/0.60 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.40/0.60 (define @t12 () (@list @t1 @t2 @t5)) % 0.40/0.60 (define @t13 () (tptp.multiplication @t1 @t5)) % 0.40/0.60 (define @t14 () (tptp.multiplication tptp.zero @t1)) % 0.40/0.60 (define @t15 () (forall @t8 (= @t14 tptp.zero))) % 0.40/0.60 (define @t16 () (@var "X0" $$unsorted)) % 0.40/0.60 (define @t17 () (tptp.domain @t16)) % 0.40/0.60 (define @t18 () (tptp.multiplication @t17 @t16)) % 0.40/0.60 (define @t19 () (tptp.addition @t16 @t18)) % 0.40/0.60 (define @t20 () (@list @t16)) % 0.40/0.60 (define @t21 () (forall @t20 (= @t19 @t18))) % 0.40/0.60 (define @t22 () (@var "X1" $$unsorted)) % 0.40/0.60 (define @t23 () (tptp.domain @t22)) % 0.40/0.60 (define @t24 () (tptp.multiplication @t16 @t23)) % 0.40/0.60 (define @t25 () (tptp.multiplication @t16 @t22)) % 0.40/0.60 (define @t26 () (@list @t16 @t22)) % 0.40/0.60 (define @t27 () (tptp.domain tptp.zero)) % 0.40/0.60 (define @t28 () (=> (= @t25 tptp.zero) (= @t24 tptp.zero))) % 0.40/0.60 (define @t29 () (forall @t26 @t28)) % 0.40/0.60 (define @t30 () (not @t29)) % 0.40/0.60 (define @t31 () (= tptp.zero @t25)) % 0.40/0.60 (define @t32 () (= tptp.zero @t24)) % 0.40/0.60 (define @t33 () (forall @t26 (or (not @t31) @t32))) % 0.40/0.60 (define @t34 () (@quantifiers_skolemize @t33 1)) % 0.40/0.60 (define @t35 () (@quantifiers_skolemize @t33 0)) % 0.40/0.60 (define @t36 () (tptp.multiplication @t35 @t34)) % 0.40/0.60 (define @t37 () (= tptp.zero @t36)) % 0.40/0.60 (define @t38 () (tptp.multiplication @t35 (tptp.domain @t34))) % 0.40/0.60 (define @t39 () (= tptp.zero @t38)) % 0.40/0.60 (define @t40 () (not @t37)) % 0.40/0.60 (define @t41 () (or @t40 @t39)) % 0.40/0.60 (define @t42 () (@list true)) % 0.40/0.60 (define @t43 () (@list @t41)) % 0.40/0.60 (define @t44 () (not @t39)) % 0.40/0.60 (define @t45 () (@list @t38)) % 0.40/0.60 (define @t46 () (tptp.addition @t38 tptp.zero)) % 0.40/0.60 (define @t47 () (= @t38 @t46)) % 0.40/0.60 (define @t48 () (not @t47)) % 0.40/0.60 (define @t49 () (= tptp.zero (tptp.multiplication tptp.zero @t38))) % 0.40/0.60 (define @t50 () (not @t49)) % 0.40/0.60 (define @t51 () (tptp.domain @t38)) % 0.40/0.60 (define @t52 () (tptp.multiplication @t51 @t38)) % 0.40/0.60 (define @t53 () (tptp.addition @t38 @t52)) % 0.40/0.60 (define @t54 () (= @t52 @t53)) % 0.40/0.60 (define @t55 () (not @t54)) % 0.40/0.60 (define @t56 () (tptp.domain @t36)) % 0.40/0.60 (define @t57 () (= @t56 @t51)) % 0.40/0.60 (define @t58 () (not @t57)) % 0.40/0.60 (define @t59 () (= tptp.zero @t27)) % 0.40/0.60 (define @t60 () (not @t59)) % 0.40/0.60 (define @t61 () (= @t46 @t38)) % 0.40/0.60 (define @t62 () (not @t61)) % 0.40/0.60 (define @t63 () (tptp.addition @t38 @t53)) % 0.40/0.60 (define @t64 () (and @t47 @t48)) % 0.40/0.60 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.40/0.60 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.40/0.60 (assume @p3 @t9) % 0.40/0.60 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 0.40/0.60 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.40/0.60 (assume @p6 (forall @t8 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.40/0.60 (assume @p7 (forall @t8 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.40/0.60 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t13)))) % 0.40/0.60 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t13 @t11)))) % 0.40/0.60 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.40/0.60 (assume @p11 @t15) % 0.40/0.60 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.40/0.60 (assume @p13 @t21) % 0.40/0.60 (assume @p14 (forall @t26 (= (tptp.domain @t25) (tptp.domain @t24)))) % 0.40/0.60 (assume @p15 (forall @t20 (= (tptp.addition @t17 tptp.one) tptp.one))) % 0.40/0.60 (assume @p16 (= @t27 tptp.zero)) % 0.40/0.60 (assume @p17 (forall @t26 (= (tptp.domain (tptp.addition @t16 @t22)) (tptp.addition @t17 @t23)))) % 0.40/0.60 (assume @p18 @t30) % 0.40/0.60 (assume @p19 true) % 0.40/0.60 (step @p20 :rule symm :premises (@p16)) % 0.40/0.60 (step @p21 :rule bool-impl-elim :args (@t31 @t32)) % 0.40/0.60 (step @p22 :rule cong :premises (@p21) :args ((forall @t26 (=> @t31 @t32)))) % 0.40/0.60 (step @p23 :rule eq-symm :args (@t24 tptp.zero)) % 0.40/0.60 (step @p24 :rule eq-symm :args (@t25 tptp.zero)) % 0.40/0.60 (step @p25 :rule cong :premises (@p24 @p23) :args (@t28)) % 0.40/0.60 (step @p26 :rule cong :premises (@p25) :args (@t29)) % 0.40/0.60 (step @p27 :rule trans :premises (@p26 @p22)) % 0.40/0.60 (step @p28 :rule cong :premises (@p27) :args (@t30)) % 0.40/0.60 (step @p29 :rule eq_resolve :premises (@p18 @p28)) % 0.40/0.60 (step @p30 :rule skolemize :premises (@p29)) % 0.40/0.60 (step @p31 :rule bool-double-not-elim :args (@t37)) % 0.40/0.60 (step @p32 :rule refl :args (@t41)) % 0.40/0.60 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t41 (not @t40)))) % 0.40/0.60 (step @p34 :rule cnf_or_neg :args (@t41 0)) % 0.40/0.60 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.40/0.60 (step @p36 :rule reordering :premises (@p35) :args ((or @t37 @t41))) % 0.40/0.60 (step @p37 :rule chain_m_resolution :premises (@p36 @p30) :args (@t37 @t42 @t43)) % 0.40/0.60 (step @p38 :rule cnf_or_neg :args (@t41 1)) % 0.40/0.60 (step @p39 :rule chain_m_resolution :premises (@p38 @p30) :args (@t44 @t42 @t43)) % 0.40/0.60 (step @p40 :rule instantiate :premises (@p14) :args ((@list @t35 @t34))) % 0.40/0.60 (step @p41 :rule eq-symm :args (@t19 @t18)) % 0.40/0.60 (step @p42 :rule cong :premises (@p41) :args (@t21)) % 0.40/0.60 (step @p43 :rule eq_resolve :premises (@p13 @p42)) % 0.40/0.60 (step @p44 :rule instantiate :premises (@p43) :args (@t45)) % 0.40/0.60 (step @p45 :rule eq-symm :args (@t14 tptp.zero)) % 0.40/0.60 (step @p46 :rule cong :premises (@p45) :args (@t15)) % 0.40/0.60 (step @p47 :rule eq_resolve :premises (@p11 @p46)) % 0.40/0.60 (step @p48 :rule instantiate :premises (@p47) :args (@t45)) % 0.40/0.60 (step @p49 :rule eq-symm :args (@t7 @t1)) % 0.40/0.60 (step @p50 :rule cong :premises (@p49) :args (@t9)) % 0.40/0.60 (step @p51 :rule eq_resolve :premises (@p3 @p50)) % 0.40/0.60 (step @p52 :rule instantiate :premises (@p51) :args (@t45)) % 0.40/0.60 (step @p53 :rule refl :args (@t48)) % 0.40/0.60 (step @p54 :rule refl :args (@t50)) % 0.40/0.60 (step @p55 :rule refl :args (@t55)) % 0.40/0.60 (step @p56 :rule refl :args (@t58)) % 0.40/0.60 (step @p57 :rule bool-double-not-elim :args (@t39)) % 0.40/0.60 (step @p58 :rule refl :args (@t40)) % 0.40/0.60 (step @p59 :rule refl :args (@t60)) % 0.40/0.60 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57 @p56 @p55 @p54 @p53) :args ((or @t60 @t40 (not @t44) @t58 @t55 @t50 @t48))) % 0.40/0.60 (assume-push @p119 @t47) % 0.40/0.60 (assume-push @p120 @t48) % 0.40/0.60 (step @p63 :rule evaluate :args ((= false true))) % 0.40/0.60 (step @p64 :rule true_intro :premises (@p52)) % 0.40/0.60 (step @p65 :rule bool-eq-false :args (@t47)) % 0.40/0.60 (step @p66 :rule symm :premises (@p65)) % 0.40/0.60 (step @p67 :rule eq-symm :args (@t46 @t38)) % 0.40/0.60 (step @p68 :rule cong :premises (@p67) :args (@t62)) % 0.40/0.60 (step @p69 :rule bool-eq-false :args (@t61)) % 0.40/0.60 (step @p70 :rule trans :premises (@p69 @p68)) % 0.40/0.60 (step @p71 :rule trans :premises (@p70 @p66)) % 0.40/0.60 (step @p72 :rule false_intro :premises (@p39)) % 0.40/0.60 (step @p73 :rule refl :args (@t38)) % 0.40/0.60 (step @p74 :rule symm :premises (@p48)) % 0.40/0.60 (step @p75 :rule symm :premises (@p37)) % 0.40/0.60 (step @p76 :rule cong :premises (@p75) :args (@t56)) % 0.40/0.60 (step @p77 :rule symm :premises (@p40)) % 0.40/0.60 (step @p78 :rule trans :premises (@p77 @p76)) % 0.40/0.60 (step @p79 :rule trans :premises (@p78 @p16)) % 0.40/0.60 (step @p80 :rule cong :premises (@p79 @p73) :args (@t52)) % 0.40/0.60 (step @p81 :rule symm :premises (@p44)) % 0.40/0.60 (step @p82 :rule cong :premises (@p73 @p81) :args (@t63)) % 0.40/0.60 (step @p83 :rule symm :premises (@p80)) % 0.40/0.60 (step @p84 :rule trans :premises (@p48 @p83 @p44)) % 0.40/0.60 (step @p85 :rule cong :premises (@p73 @p84) :args (@t46)) % 0.40/0.60 (step @p86 :rule trans :premises (@p85 @p82 @p81 @p80 @p74)) % 0.40/0.60 (step @p87 :rule cong :premises (@p86 @p73) :args (@t61)) % 0.40/0.60 (step @p88 :rule trans :premises (@p87 @p72)) % 0.40/0.60 (step @p89 :rule eq_resolve :premises (@p88 @p71)) % 0.40/0.60 (step @p90 :rule symm :premises (@p89)) % 0.40/0.60 (step @p91 :rule trans :premises (@p90 @p64)) % 0.40/0.60 (step @p92 false :rule eq_resolve :premises (@p91 @p63)) % 0.40/0.60 (step-pop @p121 :rule scope :premises (@p92)) % 0.40/0.60 (step-pop @p122 :rule scope :premises (@p121)) % 0.40/0.60 (step @p93 :rule process_scope :premises (@p122) :args (false)) % 0.40/0.60 (assume-push @p123 @t59) % 0.40/0.60 (assume-push @p124 @t37) % 0.40/0.60 (assume-push @p125 @t44) % 0.40/0.60 (assume-push @p126 @t57) % 0.40/0.60 (assume-push @p127 @t54) % 0.40/0.60 (assume-push @p128 @t49) % 0.40/0.60 (assume-push @p129 @t47) % 0.40/0.60 (step @p65 :rule bool-eq-false :args (@t47)) % 0.40/0.60 (step @p66 :rule symm :premises (@p65)) % 0.40/0.60 (step @p67 :rule eq-symm :args (@t46 @t38)) % 0.40/0.60 (step @p68 :rule cong :premises (@p67) :args (@t62)) % 0.40/0.60 (step @p69 :rule bool-eq-false :args (@t61)) % 0.40/0.60 (step @p70 :rule trans :premises (@p69 @p68)) % 0.40/0.60 (step @p71 :rule trans :premises (@p70 @p66)) % 0.40/0.60 (step @p72 :rule false_intro :premises (@p39)) % 0.40/0.60 (step @p73 :rule refl :args (@t38)) % 0.40/0.60 (step @p74 :rule symm :premises (@p48)) % 0.40/0.60 (step @p75 :rule symm :premises (@p37)) % 0.40/0.60 (step @p76 :rule cong :premises (@p75) :args (@t56)) % 0.40/0.60 (step @p77 :rule symm :premises (@p40)) % 0.40/0.60 (step @p78 :rule trans :premises (@p77 @p76)) % 0.40/0.60 (step @p79 :rule trans :premises (@p78 @p16)) % 0.40/0.60 (step @p80 :rule cong :premises (@p79 @p73) :args (@t52)) % 0.40/0.60 (step @p81 :rule symm :premises (@p44)) % 0.40/0.60 (step @p82 :rule cong :premises (@p73 @p81) :args (@t63)) % 0.40/0.60 (step @p83 :rule symm :premises (@p80)) % 0.40/0.60 (step @p84 :rule trans :premises (@p48 @p83 @p44)) % 0.40/0.60 (step @p85 :rule cong :premises (@p73 @p84) :args (@t46)) % 0.40/0.60 (step @p86 :rule trans :premises (@p85 @p82 @p81 @p80 @p74)) % 0.40/0.60 (step @p87 :rule cong :premises (@p86 @p73) :args (@t61)) % 0.40/0.60 (step @p88 :rule trans :premises (@p87 @p72)) % 0.40/0.60 (step @p103 :rule eq_resolve :premises (@p88 @p71)) % 0.40/0.60 (step @p104 :rule false_elim :premises (@p103)) % 0.40/0.60 (step @p105 :rule and_intro :premises (@p52 @p104)) % 0.40/0.60 (step-pop @p130 :rule scope :premises (@p105)) % 0.40/0.60 (step-pop @p131 :rule scope :premises (@p130)) % 0.40/0.60 (step-pop @p132 :rule scope :premises (@p131)) % 0.40/0.60 (step-pop @p133 :rule scope :premises (@p132)) % 0.40/0.60 (step-pop @p134 :rule scope :premises (@p133)) % 0.40/0.60 (step-pop @p135 :rule scope :premises (@p134)) % 0.40/0.60 (step-pop @p136 :rule scope :premises (@p135)) % 0.40/0.60 (step @p106 :rule process_scope :premises (@p136) :args (@t64)) % 0.40/0.60 (step @p114 :rule implies_elim :premises (@p106)) % 0.40/0.60 (step @p115 :rule resolution :premises (@p114 @p93) :args (true @t64)) % 0.40/0.60 (step @p116 :rule not_and :premises (@p115)) % 0.40/0.60 (step @p117 :rule eq_resolve :premises (@p116 @p60)) % 0.40/0.60 (step @p118 false :rule chain_m_resolution :premises (@p117 @p52 @p48 @p44 @p40 @p39 @p37 @p20) :args (false (@list false false false false true false false) (@list @t47 @t49 @t54 @t57 @t39 @t37 @t59))) % 0.40/0.60 ) % 0.40/0.60 % SZS output end Proof % 0.40/0.60 % cvc5 exiting %------------------------------------------------------------------------------