%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE148+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 08:28:24 AM UTC 2026 % Result : Theorem 25.50s 25.75s % Output : Proof 25.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : KLE148+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 % 0.16/0.35 % Computer : n009.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 05:20:14 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 25.50/25.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 25.50/25.75 --- Run --no-e-matching --full-saturate-quant at 6... % 25.50/25.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 25.50/25.75 % SZS status Theorem % 25.50/25.75 % SZS output start Proof % 25.50/25.75 ( % 25.50/25.75 (declare-sort $$unsorted 0) % 25.50/25.75 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 25.50/25.75 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 25.50/25.75 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 25.50/25.75 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 25.50/25.75 (declare-const tptp.zero $$unsorted) % 25.50/25.75 (declare-const tptp.one $$unsorted) % 25.50/25.75 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 25.50/25.75 (define @t1 () (@var "A" $$unsorted)) % 25.50/25.75 (define @t2 () (@var "B" $$unsorted)) % 25.50/25.75 (define @t3 () (tptp.addition @t1 @t2)) % 25.50/25.75 (define @t4 () (@list @t1 @t2)) % 25.50/25.75 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 25.50/25.75 (define @t6 () (@var "C" $$unsorted)) % 25.50/25.75 (define @t7 () (tptp.addition @t2 @t6)) % 25.50/25.75 (define @t8 () (tptp.addition @t1 tptp.zero)) % 25.50/25.75 (define @t9 () (@list @t1)) % 25.50/25.75 (define @t10 () (forall @t9 (= @t8 @t1))) % 25.50/25.75 (define @t11 () (tptp.multiplication @t1 @t2)) % 25.50/25.75 (define @t12 () (tptp.multiplication @t2 @t6)) % 25.50/25.75 (define @t13 () (@list @t1 @t2 @t6)) % 25.50/25.75 (define @t14 () (tptp.multiplication @t1 tptp.one)) % 25.50/25.75 (define @t15 () (forall @t9 (= @t14 @t1))) % 25.50/25.75 (define @t16 () (tptp.multiplication @t1 @t6)) % 25.50/25.75 (define @t17 () (tptp.multiplication tptp.zero @t1)) % 25.50/25.75 (define @t18 () (forall @t9 (= @t17 tptp.zero))) % 25.50/25.75 (define @t19 () (tptp.star @t1)) % 25.50/25.75 (define @t20 () (tptp.addition @t16 @t2)) % 25.50/25.75 (define @t21 () (tptp.strong_iteration @t1)) % 25.50/25.75 (define @t22 () (@var "X0" $$unsorted)) % 25.50/25.75 (define @t23 () (@var "X1" $$unsorted)) % 25.50/25.75 (define @t24 () (tptp.multiplication @t22 (tptp.strong_iteration @t23))) % 25.50/25.75 (define @t25 () (tptp.multiplication @t22 @t23)) % 25.50/25.75 (define @t26 () (=> (= @t25 tptp.zero) (= @t24 @t22))) % 25.50/25.75 (define @t27 () (@list @t22 @t23)) % 25.50/25.75 (define @t28 () (forall @t27 @t26)) % 25.50/25.75 (define @t29 () (not @t28)) % 25.50/25.75 (define @t30 () (= tptp.zero @t25)) % 25.50/25.75 (define @t31 () (= @t22 @t24)) % 25.50/25.75 (define @t32 () (forall @t27 (or (not @t30) @t31))) % 25.50/25.75 (define @t33 () (@quantifiers_skolemize @t32 1)) % 25.50/25.75 (define @t34 () (@quantifiers_skolemize @t32 0)) % 25.50/25.75 (define @t35 () (tptp.multiplication @t34 @t33)) % 25.50/25.75 (define @t36 () (= tptp.zero @t35)) % 25.50/25.75 (define @t37 () (tptp.strong_iteration @t33)) % 25.50/25.75 (define @t38 () (= @t34 (tptp.multiplication @t34 @t37))) % 25.50/25.75 (define @t39 () (not @t36)) % 25.50/25.75 (define @t40 () (or @t39 @t38)) % 25.50/25.75 (define @t41 () (@list true)) % 25.50/25.75 (define @t42 () (@list @t40)) % 25.50/25.75 (define @t43 () (not @t38)) % 25.50/25.75 (define @t44 () (@list @t34)) % 25.50/25.75 (define @t45 () (tptp.addition tptp.zero @t34)) % 25.50/25.75 (define @t46 () (tptp.addition @t34 tptp.zero)) % 25.50/25.75 (define @t47 () (= @t45 @t46)) % 25.50/25.75 (define @t48 () (@list tptp.zero @t34)) % 25.50/25.75 (define @t49 () (= @t46 @t45)) % 25.50/25.75 (define @t50 () (tptp.multiplication @t33 @t37)) % 25.50/25.75 (define @t51 () (tptp.multiplication @t34 tptp.one)) % 25.50/25.75 (define @t52 () (tptp.multiplication @t34 @t50)) % 25.50/25.75 (define @t53 () (tptp.addition @t52 @t51)) % 25.50/25.75 (define @t54 () (tptp.addition @t50 tptp.one)) % 25.50/25.75 (define @t55 () (tptp.multiplication @t34 @t54)) % 25.50/25.75 (define @t56 () (= @t55 @t53)) % 25.50/25.75 (define @t57 () (not @t56)) % 25.50/25.75 (define @t58 () (tptp.multiplication @t35 @t37)) % 25.50/25.75 (define @t59 () (= @t52 @t58)) % 25.50/25.75 (define @t60 () (not @t59)) % 25.50/25.75 (define @t61 () (= tptp.zero (tptp.multiplication tptp.zero @t37))) % 25.50/25.75 (define @t62 () (not @t61)) % 25.50/25.75 (define @t63 () (= @t37 @t54)) % 25.50/25.75 (define @t64 () (not @t63)) % 25.50/25.75 (define @t65 () (= @t34 @t51)) % 25.50/25.75 (define @t66 () (not @t65)) % 25.50/25.75 (define @t67 () (not @t49)) % 25.50/25.75 (define @t68 () (= @t34 @t46)) % 25.50/25.75 (define @t69 () (not @t68)) % 25.50/25.75 (define @t70 () (= @t53 @t55)) % 25.50/25.75 (define @t71 () (not @t70)) % 25.50/25.75 (define @t72 () (and @t56 @t57)) % 25.50/25.75 (assume @p1 @t5) % 25.50/25.75 (assume @p2 (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 25.50/25.75 (assume @p3 @t10) % 25.50/25.75 (assume @p4 (forall @t9 (= (tptp.addition @t1 @t1) @t1))) % 25.50/25.75 (assume @p5 (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t6)))) % 25.50/25.75 (assume @p6 @t15) % 25.50/25.75 (assume @p7 (forall @t9 (= (tptp.multiplication tptp.one @t1) @t1))) % 25.50/25.75 (assume @p8 (forall @t13 (= (tptp.multiplication @t1 @t7) (tptp.addition @t11 @t16)))) % 25.50/25.75 (assume @p9 (forall @t13 (= (tptp.multiplication @t3 @t6) (tptp.addition @t16 @t12)))) % 25.50/25.75 (assume @p10 @t18) % 25.50/25.75 (assume @p11 (forall @t9 (= (tptp.addition tptp.one (tptp.multiplication @t1 @t19)) @t19))) % 25.50/25.75 (assume @p12 (forall @t9 (= (tptp.addition tptp.one (tptp.multiplication @t19 @t1)) @t19))) % 25.50/25.75 (assume @p13 (forall @t13 (=> (tptp.leq @t20 @t6) (tptp.leq (tptp.multiplication @t19 @t2) @t6)))) % 25.50/25.75 (assume @p14 (forall @t13 (=> (tptp.leq (tptp.addition (tptp.multiplication @t6 @t1) @t2) @t6) (tptp.leq (tptp.multiplication @t2 @t19) @t6)))) % 25.50/25.75 (assume @p15 (forall @t9 (= @t21 (tptp.addition (tptp.multiplication @t1 @t21) tptp.one)))) % 25.50/25.75 (assume @p16 (forall @t13 (=> (tptp.leq @t6 @t20) (tptp.leq @t6 (tptp.multiplication @t21 @t2))))) % 25.50/25.75 (assume @p17 (forall @t9 (= @t21 (tptp.addition @t19 (tptp.multiplication @t21 tptp.zero))))) % 25.50/25.75 (assume @p18 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 25.50/25.75 (assume @p19 @t29) % 25.50/25.75 (assume @p20 true) % 25.50/25.75 (step @p21 :rule bool-impl-elim :args (@t30 @t31)) % 25.50/25.75 (step @p22 :rule cong :premises (@p21) :args ((forall @t27 (=> @t30 @t31)))) % 25.50/25.75 (step @p23 :rule eq-symm :args (@t24 @t22)) % 25.50/25.75 (step @p24 :rule eq-symm :args (@t25 tptp.zero)) % 25.50/25.75 (step @p25 :rule cong :premises (@p24 @p23) :args (@t26)) % 25.50/25.75 (step @p26 :rule cong :premises (@p25) :args (@t28)) % 25.50/25.75 (step @p27 :rule trans :premises (@p26 @p22)) % 25.50/25.75 (step @p28 :rule cong :premises (@p27) :args (@t29)) % 25.50/25.75 (step @p29 :rule eq_resolve :premises (@p19 @p28)) % 25.50/25.75 (step @p30 :rule skolemize :premises (@p29)) % 25.50/25.75 (step @p31 :rule bool-double-not-elim :args (@t36)) % 25.50/25.75 (step @p32 :rule refl :args (@t40)) % 25.50/25.75 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t40 (not @t39)))) % 25.50/25.75 (step @p34 :rule cnf_or_neg :args (@t40 0)) % 25.50/25.75 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 25.50/25.75 (step @p36 :rule reordering :premises (@p35) :args ((or @t36 @t40))) % 25.50/25.75 (step @p37 :rule chain_m_resolution :premises (@p36 @p30) :args (@t36 @t41 @t42)) % 25.50/25.75 (step @p38 :rule cnf_or_neg :args (@t40 1)) % 25.50/25.75 (step @p39 :rule chain_m_resolution :premises (@p38 @p30) :args (@t43 @t41 @t42)) % 25.50/25.75 (step @p40 :rule eq-symm :args (@t8 @t1)) % 25.50/25.75 (step @p41 :rule cong :premises (@p40) :args (@t10)) % 25.50/25.75 (step @p42 :rule eq_resolve :premises (@p3 @p41)) % 25.50/25.75 (step @p43 :rule instantiate :premises (@p42) :args (@t44)) % 25.50/25.75 (step @p44 :rule eq-symm :args (@t45 @t46)) % 25.50/25.75 (step @p45 :rule refl :args (@t5)) % 25.50/25.75 (step @p46 :rule cong :premises (@p45 @p44) :args ((=> @t5 @t47))) % 25.50/25.75 (assume-push @p135 @t5) % 25.50/25.75 (step @p48 :rule instantiate :premises (@p1) :args (@t48)) % 25.50/25.75 (step-pop @p136 :rule scope :premises (@p48)) % 25.50/25.75 (step @p49 :rule process_scope :premises (@p136) :args (@t47)) % 25.50/25.75 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 25.50/25.75 (step @p52 :rule implies_elim :premises (@p51)) % 25.50/25.75 (step @p53 :rule chain_m_resolution :premises (@p52 @p1) :args (@t49 (@list false) (@list @t5))) % 25.50/25.75 (step @p54 :rule eq-symm :args (@t14 @t1)) % 25.50/25.75 (step @p55 :rule cong :premises (@p54) :args (@t15)) % 25.50/25.75 (step @p56 :rule eq_resolve :premises (@p6 @p55)) % 25.50/25.75 (step @p57 :rule instantiate :premises (@p56) :args (@t44)) % 25.50/25.75 (step @p58 :rule instantiate :premises (@p15) :args ((@list @t33))) % 25.50/25.75 (step @p59 :rule eq-symm :args (@t17 tptp.zero)) % 25.50/25.75 (step @p60 :rule cong :premises (@p59) :args (@t18)) % 25.50/25.75 (step @p61 :rule eq_resolve :premises (@p10 @p60)) % 25.50/25.75 (step @p62 :rule instantiate :premises (@p61) :args ((@list @t37))) % 25.50/25.75 (step @p63 :rule instantiate :premises (@p5) :args ((@list @t34 @t33 @t37))) % 25.50/25.75 (step @p64 :rule instantiate :premises (@p8) :args ((@list @t34 @t50 tptp.one))) % 25.50/25.75 (step @p65 :rule refl :args (@t57)) % 25.50/25.75 (step @p66 :rule refl :args (@t60)) % 25.50/25.75 (step @p67 :rule refl :args (@t62)) % 25.50/25.75 (step @p68 :rule refl :args (@t64)) % 25.50/25.75 (step @p69 :rule refl :args (@t66)) % 25.50/25.75 (step @p70 :rule refl :args (@t67)) % 25.50/25.75 (step @p71 :rule refl :args (@t69)) % 25.50/25.75 (step @p72 :rule bool-double-not-elim :args (@t38)) % 25.50/25.75 (step @p73 :rule refl :args (@t39)) % 25.50/25.75 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65) :args ((or @t39 (not @t43) @t69 @t67 @t66 @t64 @t62 @t60 @t57))) % 25.50/25.75 (assume-push @p137 @t56) % 25.50/25.75 (assume-push @p138 @t57) % 25.50/25.75 (step @p77 :rule evaluate :args ((= false true))) % 25.50/25.75 (step @p78 :rule true_intro :premises (@p64)) % 25.50/25.75 (step @p79 :rule bool-eq-false :args (@t56)) % 25.50/25.75 (step @p80 :rule symm :premises (@p79)) % 25.50/25.75 (step @p81 :rule eq-symm :args (@t53 @t55)) % 25.50/25.75 (step @p82 :rule cong :premises (@p81) :args (@t71)) % 25.50/25.75 (step @p83 :rule bool-eq-false :args (@t70)) % 25.50/25.75 (step @p84 :rule trans :premises (@p83 @p82)) % 25.50/25.75 (step @p85 :rule trans :premises (@p84 @p80)) % 25.50/25.75 (step @p86 :rule false_intro :premises (@p39)) % 25.50/25.75 (step @p87 :rule symm :premises (@p58)) % 25.50/25.75 (step @p88 :rule refl :args (@t34)) % 25.50/25.75 (step @p89 :rule cong :premises (@p88 @p87) :args (@t55)) % 25.50/25.75 (step @p90 :rule symm :premises (@p43)) % 25.50/25.75 (step @p48 :rule instantiate :premises (@p1) :args (@t48)) % 25.50/25.75 (step @p91 :rule symm :premises (@p57)) % 25.50/25.75 (step @p92 :rule symm :premises (@p62)) % 25.50/25.75 (step @p93 :rule refl :args (@t37)) % 25.50/25.75 (step @p94 :rule symm :premises (@p37)) % 25.50/25.75 (step @p95 :rule cong :premises (@p94 @p93) :args (@t58)) % 25.50/25.75 (step @p96 :rule trans :premises (@p63 @p95 @p92)) % 25.50/25.75 (step @p97 :rule cong :premises (@p96 @p91) :args (@t53)) % 25.50/25.75 (step @p98 :rule trans :premises (@p97 @p48 @p90)) % 25.50/25.75 (step @p99 :rule cong :premises (@p98 @p89) :args (@t70)) % 25.50/25.75 (step @p100 :rule trans :premises (@p99 @p86)) % 25.50/25.75 (step @p101 :rule eq_resolve :premises (@p100 @p85)) % 25.50/25.75 (step @p102 :rule symm :premises (@p101)) % 25.50/25.75 (step @p103 :rule trans :premises (@p102 @p78)) % 25.50/25.75 (step @p104 false :rule eq_resolve :premises (@p103 @p77)) % 25.50/25.75 (step-pop @p139 :rule scope :premises (@p104)) % 25.50/25.75 (step-pop @p140 :rule scope :premises (@p139)) % 25.50/25.75 (step @p105 :rule process_scope :premises (@p140) :args (false)) % 25.50/25.75 (assume-push @p141 @t36) % 25.50/25.75 (assume-push @p142 @t43) % 25.50/25.75 (assume-push @p143 @t68) % 25.50/25.75 (assume-push @p144 @t49) % 25.50/25.75 (assume-push @p145 @t65) % 25.50/25.75 (assume-push @p146 @t63) % 25.50/25.75 (assume-push @p147 @t61) % 25.50/25.75 (assume-push @p148 @t59) % 25.50/25.75 (assume-push @p149 @t56) % 25.50/25.75 (step @p79 :rule bool-eq-false :args (@t56)) % 25.50/25.75 (step @p80 :rule symm :premises (@p79)) % 25.50/25.75 (step @p81 :rule eq-symm :args (@t53 @t55)) % 25.50/25.75 (step @p82 :rule cong :premises (@p81) :args (@t71)) % 25.50/25.75 (step @p83 :rule bool-eq-false :args (@t70)) % 25.50/25.75 (step @p84 :rule trans :premises (@p83 @p82)) % 25.50/25.75 (step @p85 :rule trans :premises (@p84 @p80)) % 25.50/25.75 (step @p86 :rule false_intro :premises (@p39)) % 25.50/25.75 (step @p87 :rule symm :premises (@p58)) % 25.50/25.75 (step @p88 :rule refl :args (@t34)) % 25.50/25.75 (step @p89 :rule cong :premises (@p88 @p87) :args (@t55)) % 25.50/25.75 (step @p90 :rule symm :premises (@p43)) % 25.50/25.75 (step @p48 :rule instantiate :premises (@p1) :args (@t48)) % 25.50/25.75 (step @p91 :rule symm :premises (@p57)) % 25.50/25.75 (step @p92 :rule symm :premises (@p62)) % 25.50/25.75 (step @p93 :rule refl :args (@t37)) % 25.50/25.75 (step @p94 :rule symm :premises (@p37)) % 25.50/25.75 (step @p95 :rule cong :premises (@p94 @p93) :args (@t58)) % 25.50/25.75 (step @p96 :rule trans :premises (@p63 @p95 @p92)) % 25.50/25.75 (step @p97 :rule cong :premises (@p96 @p91) :args (@t53)) % 25.50/25.75 (step @p98 :rule trans :premises (@p97 @p48 @p90)) % 25.50/25.75 (step @p99 :rule cong :premises (@p98 @p89) :args (@t70)) % 25.50/25.75 (step @p100 :rule trans :premises (@p99 @p86)) % 25.50/25.75 (step @p117 :rule eq_resolve :premises (@p100 @p85)) % 25.50/25.75 (step @p118 :rule false_elim :premises (@p117)) % 25.50/25.75 (step @p119 :rule and_intro :premises (@p64 @p118)) % 25.50/25.75 (step-pop @p150 :rule scope :premises (@p119)) % 25.50/25.75 (step-pop @p151 :rule scope :premises (@p150)) % 25.50/25.75 (step-pop @p152 :rule scope :premises (@p151)) % 25.50/25.75 (step-pop @p153 :rule scope :premises (@p152)) % 25.50/25.75 (step-pop @p154 :rule scope :premises (@p153)) % 25.50/25.75 (step-pop @p155 :rule scope :premises (@p154)) % 25.50/25.75 (step-pop @p156 :rule scope :premises (@p155)) % 25.50/25.75 (step-pop @p157 :rule scope :premises (@p156)) % 25.50/25.75 (step-pop @p158 :rule scope :premises (@p157)) % 25.50/25.75 (step @p120 :rule process_scope :premises (@p158) :args (@t72)) % 25.50/25.75 (step @p130 :rule implies_elim :premises (@p120)) % 25.50/25.75 (step @p131 :rule resolution :premises (@p130 @p105) :args (true @t72)) % 25.50/25.75 (step @p132 :rule not_and :premises (@p131)) % 25.50/25.75 (step @p133 :rule eq_resolve :premises (@p132 @p74)) % 25.50/25.75 (step @p134 false :rule chain_m_resolution :premises (@p133 @p64 @p63 @p62 @p58 @p57 @p53 @p43 @p39 @p37) :args (false (@list false false false false false false false true false) (@list @t56 @t59 @t61 @t63 @t65 @t49 @t68 @t38 @t36))) % 25.50/25.75 ) % 25.50/25.75 % SZS output end Proof % 25.50/25.75 % cvc5 exiting %------------------------------------------------------------------------------