%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE089+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 08:28:17 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE089+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 : 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 05:12:16 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.coantidomain (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.antidomain (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.zero $$unsorted) % 0.38/0.58 (declare-const tptp.one $$unsorted) % 0.38/0.58 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t3 () (tptp.addition @t1 @t2)) % 0.38/0.58 (define @t4 () (@list @t1 @t2)) % 0.38/0.58 (define @t5 () (@var "C" $$unsorted)) % 0.38/0.58 (define @t6 () (tptp.addition @t2 @t5)) % 0.38/0.58 (define @t7 () (tptp.addition @t1 tptp.zero)) % 0.38/0.58 (define @t8 () (@list @t1)) % 0.38/0.58 (define @t9 () (forall @t8 (= @t7 @t1))) % 0.38/0.58 (define @t10 () (tptp.addition @t1 @t1)) % 0.38/0.58 (define @t11 () (forall @t8 (= @t10 @t1))) % 0.38/0.58 (define @t12 () (tptp.multiplication @t1 @t2)) % 0.38/0.58 (define @t13 () (tptp.multiplication @t2 @t5)) % 0.38/0.58 (define @t14 () (@list @t1 @t2 @t5)) % 0.38/0.58 (define @t15 () (tptp.multiplication @t1 @t5)) % 0.38/0.58 (define @t16 () (@var "X0" $$unsorted)) % 0.38/0.58 (define @t17 () (tptp.antidomain @t16)) % 0.38/0.58 (define @t18 () (tptp.multiplication @t17 @t16)) % 0.38/0.58 (define @t19 () (@list @t16)) % 0.38/0.58 (define @t20 () (forall @t19 (= @t18 tptp.zero))) % 0.38/0.58 (define @t21 () (@var "X1" $$unsorted)) % 0.38/0.58 (define @t22 () (tptp.antidomain @t21)) % 0.38/0.58 (define @t23 () (tptp.antidomain (tptp.multiplication @t16 (tptp.antidomain @t22)))) % 0.38/0.58 (define @t24 () (tptp.multiplication @t16 @t21)) % 0.38/0.58 (define @t25 () (@list @t16 @t21)) % 0.38/0.58 (define @t26 () (tptp.antidomain @t17)) % 0.38/0.58 (define @t27 () (tptp.domain @t16)) % 0.38/0.58 (define @t28 () (tptp.coantidomain @t16)) % 0.38/0.58 (define @t29 () (tptp.coantidomain @t28)) % 0.38/0.58 (define @t30 () (tptp.coantidomain (tptp.multiplication @t29 @t21))) % 0.38/0.58 (define @t31 () (tptp.multiplication @t27 @t21)) % 0.38/0.58 (define @t32 () (tptp.addition @t27 @t22)) % 0.38/0.58 (define @t33 () (=> (= @t32 @t22) (= @t31 tptp.zero))) % 0.38/0.58 (define @t34 () (forall @t25 @t33)) % 0.38/0.58 (define @t35 () (not @t34)) % 0.38/0.58 (define @t36 () (= @t22 @t32)) % 0.38/0.58 (define @t37 () (= tptp.zero @t31)) % 0.38/0.58 (define @t38 () (forall @t25 (or (not @t36) @t37))) % 0.38/0.58 (define @t39 () (@quantifiers_skolemize @t38 1)) % 0.38/0.58 (define @t40 () (tptp.antidomain @t39)) % 0.38/0.58 (define @t41 () (tptp.domain (@quantifiers_skolemize @t38 0))) % 0.38/0.58 (define @t42 () (tptp.addition @t41 @t40)) % 0.38/0.58 (define @t43 () (= @t40 @t42)) % 0.38/0.58 (define @t44 () (= tptp.zero (tptp.multiplication @t41 @t39))) % 0.38/0.58 (define @t45 () (not @t43)) % 0.38/0.58 (define @t46 () (or @t45 @t44)) % 0.38/0.58 (define @t47 () (@list true)) % 0.38/0.58 (define @t48 () (@list @t46)) % 0.38/0.58 (define @t49 () (not @t44)) % 0.38/0.58 (define @t50 () (tptp.addition @t41 @t41)) % 0.38/0.58 (define @t51 () (tptp.multiplication @t50 @t39)) % 0.38/0.58 (define @t52 () (tptp.addition @t51 tptp.zero)) % 0.38/0.58 (define @t53 () (= @t51 @t52)) % 0.38/0.58 (define @t54 () (not @t53)) % 0.38/0.58 (define @t55 () (tptp.multiplication @t40 @t39)) % 0.38/0.58 (define @t56 () (tptp.addition @t50 @t40)) % 0.38/0.58 (define @t57 () (tptp.multiplication @t56 @t39)) % 0.38/0.58 (define @t58 () (= @t57 (tptp.addition @t51 @t55))) % 0.38/0.58 (define @t59 () (not @t58)) % 0.38/0.58 (define @t60 () (= @t41 @t50)) % 0.38/0.58 (define @t61 () (not @t60)) % 0.38/0.58 (define @t62 () (= tptp.zero @t55)) % 0.38/0.58 (define @t63 () (not @t62)) % 0.38/0.58 (define @t64 () (tptp.addition @t41 @t42)) % 0.38/0.58 (define @t65 () (= @t64 @t56)) % 0.38/0.58 (define @t66 () (not @t65)) % 0.38/0.58 (define @t67 () (= @t52 @t51)) % 0.38/0.58 (define @t68 () (not @t67)) % 0.38/0.58 (define @t69 () (and @t53 @t54)) % 0.38/0.58 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.38/0.58 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.38/0.58 (assume @p3 @t9) % 0.38/0.58 (assume @p4 @t11) % 0.38/0.58 (assume @p5 (forall @t14 (= (tptp.multiplication @t1 @t13) (tptp.multiplication @t12 @t5)))) % 0.38/0.58 (assume @p6 (forall @t8 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.38/0.58 (assume @p7 (forall @t8 (= (tptp.multiplication tptp.one @t1) @t1))) % 0.38/0.58 (assume @p8 (forall @t14 (= (tptp.multiplication @t1 @t6) (tptp.addition @t12 @t15)))) % 0.38/0.58 (assume @p9 (forall @t14 (= (tptp.multiplication @t3 @t5) (tptp.addition @t15 @t13)))) % 0.38/0.58 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.38/0.58 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.38/0.58 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.38/0.58 (assume @p13 @t20) % 0.38/0.58 (assume @p14 (forall @t25 (= (tptp.addition (tptp.antidomain @t24) @t23) @t23))) % 0.38/0.58 (assume @p15 (forall @t19 (= (tptp.addition @t26 @t17) tptp.one))) % 0.38/0.58 (assume @p16 (forall @t19 (= @t27 @t26))) % 0.38/0.58 (assume @p17 (forall @t19 (= (tptp.multiplication @t16 @t28) tptp.zero))) % 0.38/0.58 (assume @p18 (forall @t25 (= (tptp.addition (tptp.coantidomain @t24) @t30) @t30))) % 0.38/0.58 (assume @p19 (forall @t19 (= (tptp.addition @t29 @t28) tptp.one))) % 0.38/0.58 (assume @p20 (forall @t19 (= (tptp.codomain @t16) @t29))) % 0.38/0.58 (assume @p21 @t35) % 0.38/0.58 (assume @p22 true) % 0.38/0.58 (step @p23 :rule bool-impl-elim :args (@t36 @t37)) % 0.38/0.58 (step @p24 :rule cong :premises (@p23) :args ((forall @t25 (=> @t36 @t37)))) % 0.38/0.58 (step @p25 :rule eq-symm :args (@t31 tptp.zero)) % 0.38/0.58 (step @p26 :rule eq-symm :args (@t32 @t22)) % 0.38/0.58 (step @p27 :rule cong :premises (@p26 @p25) :args (@t33)) % 0.38/0.58 (step @p28 :rule cong :premises (@p27) :args (@t34)) % 0.38/0.58 (step @p29 :rule trans :premises (@p28 @p24)) % 0.38/0.58 (step @p30 :rule cong :premises (@p29) :args (@t35)) % 0.38/0.58 (step @p31 :rule eq_resolve :premises (@p21 @p30)) % 0.38/0.58 (step @p32 :rule skolemize :premises (@p31)) % 0.38/0.58 (step @p33 :rule bool-double-not-elim :args (@t43)) % 0.38/0.58 (step @p34 :rule refl :args (@t46)) % 0.38/0.58 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t46 (not @t45)))) % 0.38/0.58 (step @p36 :rule cnf_or_neg :args (@t46 0)) % 0.38/0.58 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.38/0.58 (step @p38 :rule reordering :premises (@p37) :args ((or @t43 @t46))) % 0.38/0.58 (step @p39 :rule chain_m_resolution :premises (@p38 @p32) :args (@t43 @t47 @t48)) % 0.38/0.58 (step @p40 :rule cnf_or_neg :args (@t46 1)) % 0.38/0.58 (step @p41 :rule chain_m_resolution :premises (@p40 @p32) :args (@t49 @t47 @t48)) % 0.38/0.58 (step @p42 :rule instantiate :premises (@p2) :args ((@list @t40 @t41 @t41))) % 0.38/0.58 (step @p43 :rule eq-symm :args (@t18 tptp.zero)) % 0.38/0.58 (step @p44 :rule cong :premises (@p43) :args (@t20)) % 0.38/0.58 (step @p45 :rule eq_resolve :premises (@p13 @p44)) % 0.38/0.58 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t39))) % 0.38/0.58 (step @p47 :rule eq-symm :args (@t10 @t1)) % 0.38/0.58 (step @p48 :rule cong :premises (@p47) :args (@t11)) % 0.38/0.58 (step @p49 :rule eq_resolve :premises (@p4 @p48)) % 0.38/0.58 (step @p50 :rule instantiate :premises (@p49) :args ((@list @t41))) % 0.38/0.58 (step @p51 :rule instantiate :premises (@p9) :args ((@list @t50 @t40 @t39))) % 0.38/0.58 (step @p52 :rule eq-symm :args (@t7 @t1)) % 0.38/0.58 (step @p53 :rule cong :premises (@p52) :args (@t9)) % 0.38/0.58 (step @p54 :rule eq_resolve :premises (@p3 @p53)) % 0.38/0.58 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t51))) % 0.38/0.58 (step @p56 :rule refl :args (@t54)) % 0.38/0.58 (step @p57 :rule refl :args (@t59)) % 0.38/0.58 (step @p58 :rule refl :args (@t61)) % 0.38/0.58 (step @p59 :rule refl :args (@t63)) % 0.38/0.58 (step @p60 :rule refl :args (@t66)) % 0.38/0.58 (step @p61 :rule bool-double-not-elim :args (@t44)) % 0.38/0.58 (step @p62 :rule refl :args (@t45)) % 0.38/0.58 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60 @p59 @p58 @p57 @p56) :args ((or @t45 (not @t49) @t66 @t63 @t61 @t59 @t54))) % 0.38/0.58 (assume-push @p122 @t53) % 0.38/0.58 (assume-push @p123 @t54) % 0.38/0.58 (step @p66 :rule evaluate :args ((= false true))) % 0.38/0.58 (step @p67 :rule true_intro :premises (@p55)) % 0.38/0.58 (step @p68 :rule bool-eq-false :args (@t53)) % 0.38/0.58 (step @p69 :rule symm :premises (@p68)) % 0.38/0.58 (step @p70 :rule eq-symm :args (@t52 @t51)) % 0.38/0.58 (step @p71 :rule cong :premises (@p70) :args (@t68)) % 0.38/0.58 (step @p72 :rule bool-eq-false :args (@t67)) % 0.38/0.58 (step @p73 :rule trans :premises (@p72 @p71)) % 0.38/0.58 (step @p74 :rule trans :premises (@p73 @p69)) % 0.38/0.58 (step @p75 :rule false_intro :premises (@p41)) % 0.38/0.58 (step @p76 :rule refl :args (@t39)) % 0.38/0.58 (step @p77 :rule symm :premises (@p50)) % 0.38/0.58 (step @p78 :rule cong :premises (@p77 @p76) :args (@t51)) % 0.38/0.58 (step @p79 :rule symm :premises (@p46)) % 0.38/0.58 (step @p80 :rule symm :premises (@p39)) % 0.38/0.58 (step @p81 :rule refl :args (@t41)) % 0.38/0.58 (step @p82 :rule cong :premises (@p81 @p80) :args (@t64)) % 0.38/0.58 (step @p83 :rule symm :premises (@p42)) % 0.38/0.58 (step @p84 :rule trans :premises (@p83 @p82 @p80)) % 0.38/0.58 (step @p85 :rule cong :premises (@p84 @p76) :args (@t57)) % 0.38/0.58 (step @p86 :rule symm :premises (@p51)) % 0.38/0.58 (step @p87 :rule refl :args (@t51)) % 0.38/0.58 (step @p88 :rule cong :premises (@p87 @p46) :args (@t52)) % 0.38/0.58 (step @p89 :rule trans :premises (@p88 @p86 @p85 @p79)) % 0.38/0.59 (step @p90 :rule cong :premises (@p89 @p78) :args (@t67)) % 0.38/0.59 (step @p91 :rule trans :premises (@p90 @p75)) % 0.38/0.59 (step @p92 :rule eq_resolve :premises (@p91 @p74)) % 0.38/0.59 (step @p93 :rule symm :premises (@p92)) % 0.38/0.59 (step @p94 :rule trans :premises (@p93 @p67)) % 0.38/0.59 (step @p95 false :rule eq_resolve :premises (@p94 @p66)) % 0.38/0.59 (step-pop @p124 :rule scope :premises (@p95)) % 0.38/0.59 (step-pop @p125 :rule scope :premises (@p124)) % 0.38/0.59 (step @p96 :rule process_scope :premises (@p125) :args (false)) % 0.38/0.59 (assume-push @p126 @t43) % 0.38/0.59 (assume-push @p127 @t49) % 0.38/0.59 (assume-push @p128 @t65) % 0.38/0.59 (assume-push @p129 @t62) % 0.38/0.59 (assume-push @p130 @t60) % 0.38/0.59 (assume-push @p131 @t58) % 0.38/0.59 (assume-push @p132 @t53) % 0.38/0.59 (step @p68 :rule bool-eq-false :args (@t53)) % 0.38/0.59 (step @p69 :rule symm :premises (@p68)) % 0.38/0.59 (step @p70 :rule eq-symm :args (@t52 @t51)) % 0.38/0.59 (step @p71 :rule cong :premises (@p70) :args (@t68)) % 0.38/0.59 (step @p72 :rule bool-eq-false :args (@t67)) % 0.38/0.59 (step @p73 :rule trans :premises (@p72 @p71)) % 0.38/0.59 (step @p74 :rule trans :premises (@p73 @p69)) % 0.38/0.59 (step @p75 :rule false_intro :premises (@p41)) % 0.38/0.59 (step @p76 :rule refl :args (@t39)) % 0.38/0.59 (step @p77 :rule symm :premises (@p50)) % 0.38/0.59 (step @p78 :rule cong :premises (@p77 @p76) :args (@t51)) % 0.38/0.59 (step @p79 :rule symm :premises (@p46)) % 0.38/0.59 (step @p80 :rule symm :premises (@p39)) % 0.38/0.59 (step @p81 :rule refl :args (@t41)) % 0.38/0.59 (step @p82 :rule cong :premises (@p81 @p80) :args (@t64)) % 0.38/0.59 (step @p83 :rule symm :premises (@p42)) % 0.38/0.59 (step @p84 :rule trans :premises (@p83 @p82 @p80)) % 0.38/0.59 (step @p85 :rule cong :premises (@p84 @p76) :args (@t57)) % 0.38/0.59 (step @p86 :rule symm :premises (@p51)) % 0.38/0.59 (step @p87 :rule refl :args (@t51)) % 0.38/0.59 (step @p88 :rule cong :premises (@p87 @p46) :args (@t52)) % 0.38/0.59 (step @p89 :rule trans :premises (@p88 @p86 @p85 @p79)) % 0.38/0.59 (step @p90 :rule cong :premises (@p89 @p78) :args (@t67)) % 0.38/0.59 (step @p91 :rule trans :premises (@p90 @p75)) % 0.38/0.59 (step @p106 :rule eq_resolve :premises (@p91 @p74)) % 0.38/0.59 (step @p107 :rule false_elim :premises (@p106)) % 0.38/0.59 (step @p108 :rule and_intro :premises (@p55 @p107)) % 0.38/0.59 (step-pop @p133 :rule scope :premises (@p108)) % 0.38/0.59 (step-pop @p134 :rule scope :premises (@p133)) % 0.38/0.59 (step-pop @p135 :rule scope :premises (@p134)) % 0.38/0.59 (step-pop @p136 :rule scope :premises (@p135)) % 0.38/0.59 (step-pop @p137 :rule scope :premises (@p136)) % 0.38/0.59 (step-pop @p138 :rule scope :premises (@p137)) % 0.38/0.59 (step-pop @p139 :rule scope :premises (@p138)) % 0.38/0.59 (step @p109 :rule process_scope :premises (@p139) :args (@t69)) % 0.38/0.59 (step @p117 :rule implies_elim :premises (@p109)) % 0.38/0.59 (step @p118 :rule resolution :premises (@p117 @p96) :args (true @t69)) % 0.38/0.59 (step @p119 :rule not_and :premises (@p118)) % 0.38/0.59 (step @p120 :rule eq_resolve :premises (@p119 @p63)) % 0.38/0.59 (step @p121 false :rule chain_m_resolution :premises (@p120 @p55 @p51 @p50 @p46 @p42 @p41 @p39) :args (false (@list false false false false false true false) (@list @t53 @t58 @t60 @t62 @t65 @t44 @t43))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------