%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE151+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 : n023.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 33.61s 33.86s % Output : Proof 33.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE151+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.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 05:21:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 33.61/33.86 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.61/33.86 --- Run --no-e-matching --full-saturate-quant at 6... % 33.61/33.86 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.61/33.86 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.61/33.86 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.61/33.86 % SZS status Theorem % 33.61/33.86 % SZS output start Proof % 33.61/33.86 ( % 33.61/33.86 (declare-sort $$unsorted 0) % 33.61/33.86 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 33.61/33.86 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 33.61/33.86 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 33.61/33.86 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 33.61/33.86 (declare-const tptp.zero $$unsorted) % 33.61/33.86 (declare-const tptp.one $$unsorted) % 33.61/33.86 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 33.61/33.86 (define @t1 () (@var "A" $$unsorted)) % 33.61/33.86 (define @t2 () (@var "B" $$unsorted)) % 33.61/33.86 (define @t3 () (tptp.addition @t1 @t2)) % 33.61/33.86 (define @t4 () (@list @t1 @t2)) % 33.61/33.86 (define @t5 () (@var "C" $$unsorted)) % 33.61/33.86 (define @t6 () (tptp.addition @t2 @t5)) % 33.61/33.86 (define @t7 () (@list @t1)) % 33.61/33.86 (define @t8 () (tptp.addition @t1 @t1)) % 33.61/33.86 (define @t9 () (forall @t7 (= @t8 @t1))) % 33.61/33.86 (define @t10 () (tptp.multiplication @t1 @t2)) % 33.61/33.86 (define @t11 () (tptp.multiplication @t2 @t5)) % 33.61/33.86 (define @t12 () (@list @t1 @t2 @t5)) % 33.61/33.86 (define @t13 () (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 33.61/33.86 (define @t14 () (tptp.multiplication @t1 tptp.one)) % 33.61/33.86 (define @t15 () (forall @t7 (= @t14 @t1))) % 33.61/33.86 (define @t16 () (tptp.multiplication @t1 @t5)) % 33.61/33.86 (define @t17 () (tptp.star @t1)) % 33.61/33.86 (define @t18 () (tptp.addition @t16 @t2)) % 33.61/33.86 (define @t19 () (tptp.strong_iteration @t1)) % 33.61/33.86 (define @t20 () (tptp.leq @t5 (tptp.multiplication @t19 @t2))) % 33.61/33.86 (define @t21 () (tptp.leq @t5 @t18)) % 33.61/33.86 (define @t22 () (forall @t12 (=> @t21 @t20))) % 33.61/33.86 (define @t23 () (tptp.leq @t1 @t2)) % 33.61/33.86 (define @t24 () (= @t23 (= @t3 @t2))) % 33.61/33.86 (define @t25 () (forall @t4 @t24)) % 33.61/33.86 (define @t26 () (@var "X0" $$unsorted)) % 33.61/33.86 (define @t27 () (@var "X1" $$unsorted)) % 33.61/33.86 (define @t28 () (forall (@list @t26 @t27) (tptp.leq (tptp.multiplication @t26 (tptp.strong_iteration (tptp.multiplication @t27 @t26))) (tptp.multiplication (tptp.strong_iteration (tptp.multiplication @t26 @t27)) @t26)))) % 33.61/33.86 (define @t29 () (@quantifiers_skolemize @t28 0)) % 33.61/33.86 (define @t30 () (@quantifiers_skolemize @t28 1)) % 33.61/33.86 (define @t31 () (tptp.multiplication @t30 @t29)) % 33.61/33.86 (define @t32 () (tptp.strong_iteration @t31)) % 33.61/33.86 (define @t33 () (tptp.multiplication @t31 @t32)) % 33.61/33.86 (define @t34 () (tptp.multiplication @t29 @t32)) % 33.61/33.86 (define @t35 () (tptp.multiplication @t29 @t30)) % 33.61/33.86 (define @t36 () (tptp.multiplication @t35 @t34)) % 33.61/33.86 (define @t37 () (tptp.multiplication @t30 @t34)) % 33.61/33.86 (define @t38 () (= @t37 @t33)) % 33.61/33.86 (define @t39 () (= @t33 @t37)) % 33.61/33.86 (define @t40 () (@list false)) % 33.61/33.86 (define @t41 () (@list @t13)) % 33.61/33.86 (define @t42 () (tptp.multiplication @t29 @t37)) % 33.61/33.86 (define @t43 () (= @t42 @t36)) % 33.61/33.86 (define @t44 () (@list @t29 @t30 @t34)) % 33.61/33.86 (define @t45 () (= @t36 @t42)) % 33.61/33.86 (define @t46 () (tptp.addition @t36 @t29)) % 33.61/33.86 (define @t47 () (tptp.leq @t34 (tptp.multiplication (tptp.strong_iteration @t35) @t29))) % 33.61/33.86 (define @t48 () (tptp.leq @t34 @t46)) % 33.61/33.86 (define @t49 () (not @t48)) % 33.61/33.86 (define @t50 () (or @t49 @t47)) % 33.61/33.86 (define @t51 () (@list true false)) % 33.61/33.86 (define @t52 () (= @t46 (tptp.addition @t34 @t46))) % 33.61/33.86 (define @t53 () (= @t48 @t52)) % 33.61/33.86 (define @t54 () (not @t52)) % 33.61/33.86 (define @t55 () (tptp.addition @t33 tptp.one)) % 33.61/33.86 (define @t56 () (= @t32 @t55)) % 33.61/33.86 (define @t57 () (tptp.addition tptp.one @t33)) % 33.61/33.86 (define @t58 () (= @t55 @t57)) % 33.61/33.86 (define @t59 () (= @t46 (tptp.addition @t29 @t36))) % 33.61/33.86 (define @t60 () (tptp.multiplication @t29 tptp.one)) % 33.61/33.86 (define @t61 () (= @t29 @t60)) % 33.61/33.86 (define @t62 () (tptp.addition @t34 @t34)) % 33.61/33.86 (define @t63 () (= @t34 @t62)) % 33.61/33.86 (define @t64 () (tptp.multiplication @t29 @t33)) % 33.61/33.86 (define @t65 () (tptp.addition @t60 @t64)) % 33.61/33.86 (define @t66 () (= (tptp.multiplication @t29 @t57) @t65)) % 33.61/33.86 (define @t67 () (and @t56 @t58 @t59 @t39 @t45 @t61 @t63 @t66)) % 33.61/33.86 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 33.61/33.86 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 33.61/33.86 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 33.61/33.86 (assume @p4 @t9) % 33.61/33.86 (assume @p5 @t13) % 33.61/33.86 (assume @p6 @t15) % 33.61/33.86 (assume @p7 (forall @t7 (= (tptp.multiplication tptp.one @t1) @t1))) % 33.61/33.86 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t16)))) % 33.61/33.86 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t16 @t11)))) % 33.61/33.86 (assume @p10 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 33.61/33.86 (assume @p11 (forall @t7 (= (tptp.addition tptp.one (tptp.multiplication @t1 @t17)) @t17))) % 33.61/33.86 (assume @p12 (forall @t7 (= (tptp.addition tptp.one (tptp.multiplication @t17 @t1)) @t17))) % 33.61/33.86 (assume @p13 (forall @t12 (=> (tptp.leq @t18 @t5) (tptp.leq (tptp.multiplication @t17 @t2) @t5)))) % 33.61/33.86 (assume @p14 (forall @t12 (=> (tptp.leq (tptp.addition (tptp.multiplication @t5 @t1) @t2) @t5) (tptp.leq (tptp.multiplication @t2 @t17) @t5)))) % 33.61/33.86 (assume @p15 (forall @t7 (= @t19 (tptp.addition (tptp.multiplication @t1 @t19) tptp.one)))) % 33.61/33.86 (assume @p16 @t22) % 33.61/33.86 (assume @p17 (forall @t7 (= @t19 (tptp.addition @t17 (tptp.multiplication @t19 tptp.zero))))) % 33.61/33.86 (assume @p18 @t25) % 33.61/33.86 (assume @p19 (not @t28)) % 33.61/33.86 (assume @p20 true) % 33.61/33.86 (step @p21 :rule instantiate :premises (@p15) :args ((@list @t31))) % 33.61/33.86 (step @p22 :rule instantiate :premises (@p1) :args ((@list @t33 tptp.one))) % 33.61/33.86 (step @p23 :rule instantiate :premises (@p1) :args ((@list @t36 @t29))) % 33.61/33.86 (step @p24 :rule eq-symm :args (@t37 @t33)) % 33.61/33.86 (step @p25 :rule refl :args (@t13)) % 33.61/33.86 (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t13 @t38))) % 33.61/33.86 (assume-push @p106 @t13) % 33.61/33.86 (step @p28 :rule instantiate :premises (@p5) :args ((@list @t30 @t29 @t32))) % 33.61/33.86 (step-pop @p107 :rule scope :premises (@p28)) % 33.61/33.86 (step @p29 :rule process_scope :premises (@p107) :args (@t38)) % 33.61/33.86 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 33.61/33.86 (step @p32 :rule implies_elim :premises (@p31)) % 33.61/33.86 (step @p33 :rule chain_m_resolution :premises (@p32 @p5) :args (@t39 @t40 @t41)) % 33.61/33.86 (step @p34 :rule eq-symm :args (@t42 @t36)) % 33.61/33.86 (step @p35 :rule cong :premises (@p25 @p34) :args ((=> @t13 @t43))) % 33.61/33.86 (assume-push @p108 @t13) % 33.61/33.86 (step @p37 :rule instantiate :premises (@p5) :args (@t44)) % 33.61/33.86 (step-pop @p109 :rule scope :premises (@p37)) % 33.61/33.86 (step @p38 :rule process_scope :premises (@p109) :args (@t43)) % 33.61/33.86 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 33.61/33.86 (step @p41 :rule implies_elim :premises (@p40)) % 33.61/33.86 (step @p42 :rule chain_m_resolution :premises (@p41 @p5) :args (@t45 @t40 @t41)) % 33.61/33.86 (step @p43 :rule eq-symm :args (@t3 @t2)) % 33.61/33.86 (step @p44 :rule refl :args (@t23)) % 33.61/33.86 (step @p45 :rule cong :premises (@p44 @p43) :args (@t24)) % 33.61/33.86 (step @p46 :rule cong :premises (@p45) :args (@t25)) % 33.61/33.86 (step @p47 :rule eq_resolve :premises (@p18 @p46)) % 33.61/33.86 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t34 @t46))) % 33.61/33.86 (step @p49 :rule bool-impl-elim :args (@t21 @t20)) % 33.61/33.86 (step @p50 :rule cong :premises (@p49) :args (@t22)) % 33.61/33.86 (step @p51 :rule eq_resolve :premises (@p16 @p50)) % 33.61/33.86 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t35 @t29 @t34))) % 33.61/33.86 (step @p53 :rule skolemize :premises (@p19)) % 33.61/33.86 (step @p54 :rule cnf_or_pos :args (@t50)) % 33.61/33.86 (step @p55 :rule reordering :premises (@p54) :args ((or @t47 @t49 (not @t50)))) % 33.61/33.86 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p52) :args (@t49 @t51 (@list @t47 @t50))) % 33.61/33.86 (step @p57 :rule cnf_equiv_pos2 :args (@t53)) % 33.61/33.86 (step @p58 :rule reordering :premises (@p57) :args ((or @t48 @t54 (not @t53)))) % 33.61/33.86 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p48) :args (@t54 @t51 (@list @t48 @t53))) % 33.61/33.86 (step @p60 :rule eq-symm :args (@t14 @t1)) % 33.61/33.86 (step @p61 :rule cong :premises (@p60) :args (@t15)) % 33.61/33.86 (step @p62 :rule eq_resolve :premises (@p6 @p61)) % 33.61/33.86 (step @p63 :rule instantiate :premises (@p62) :args ((@list @t29))) % 33.61/33.86 (step @p64 :rule eq-symm :args (@t8 @t1)) % 33.61/33.86 (step @p65 :rule cong :premises (@p64) :args (@t9)) % 33.61/33.86 (step @p66 :rule eq_resolve :premises (@p4 @p65)) % 33.61/33.86 (step @p67 :rule instantiate :premises (@p66) :args ((@list @t34))) % 33.61/33.86 (step @p68 :rule instantiate :premises (@p8) :args ((@list @t29 tptp.one @t33))) % 33.61/33.86 (assume-push @p110 @t56) % 33.61/33.86 (assume-push @p111 @t58) % 33.61/33.86 (assume-push @p112 @t59) % 33.61/33.86 (assume-push @p113 @t39) % 33.61/33.86 (assume-push @p114 @t45) % 33.61/33.86 (assume-push @p115 @t61) % 33.61/33.86 (assume-push @p116 @t63) % 33.61/33.86 (assume-push @p117 @t66) % 33.61/33.86 (step @p77 :rule symm :premises (@p23)) % 33.61/33.86 (step @p37 :rule instantiate :premises (@p5) :args (@t44)) % 33.61/33.86 (step @p78 :rule refl :args (@t29)) % 33.61/33.86 (step @p79 :rule cong :premises (@p78 @p33) :args (@t64)) % 33.61/33.86 (step @p80 :rule trans :premises (@p79 @p37)) % 33.61/33.86 (step @p81 :rule symm :premises (@p63)) % 33.61/33.86 (step @p82 :rule cong :premises (@p81 @p80) :args (@t65)) % 33.61/33.86 (step @p83 :rule trans :premises (@p21 @p22)) % 33.61/33.86 (step @p84 :rule cong :premises (@p78 @p83) :args (@t34)) % 33.61/33.86 (step @p85 :rule trans :premises (@p84 @p68 @p82 @p77)) % 33.61/33.86 (step @p86 :rule refl :args (@t34)) % 33.61/33.86 (step @p87 :rule cong :premises (@p86 @p85) :args (@t62)) % 33.61/33.86 (step @p88 :rule symm :premises (@p84)) % 33.61/33.86 (step @p89 :rule symm :premises (@p68)) % 33.61/33.86 (step @p90 :rule symm :premises (@p82)) % 33.61/33.86 (step @p91 :rule trans :premises (@p23 @p90 @p89 @p88 @p67 @p87)) % 33.61/33.86 (step-pop @p118 :rule scope :premises (@p91)) % 33.61/33.86 (step-pop @p119 :rule scope :premises (@p118)) % 33.61/33.86 (step-pop @p120 :rule scope :premises (@p119)) % 33.61/33.86 (step-pop @p121 :rule scope :premises (@p120)) % 33.61/33.86 (step-pop @p122 :rule scope :premises (@p121)) % 33.61/33.86 (step-pop @p123 :rule scope :premises (@p122)) % 33.61/33.86 (step-pop @p124 :rule scope :premises (@p123)) % 33.61/33.86 (step-pop @p125 :rule scope :premises (@p124)) % 33.61/33.86 (step @p92 :rule process_scope :premises (@p125) :args (@t52)) % 33.61/33.86 (step @p101 :rule implies_elim :premises (@p92)) % 33.61/33.86 (step @p102 :rule cnf_and_neg :args (@t67)) % 33.61/33.86 (step @p103 :rule resolution :premises (@p102 @p101) :args (true @t67)) % 33.61/33.86 (step @p104 :rule reordering :premises (@p103) :args ((or (not @t56) @t52 (not @t58) (not @t59) (not @t39) (not @t45) (not @t61) (not @t63) (not @t66)))) % 33.61/33.86 (step @p105 false :rule chain_m_resolution :premises (@p104 @p68 @p67 @p63 @p59 @p42 @p33 @p23 @p22 @p21) :args (false (@list false false false true false false false false false) (@list @t66 @t63 @t61 @t52 @t45 @t39 @t59 @t58 @t56))) % 33.61/33.86 ) % 33.61/33.86 % SZS output end Proof % 33.61/33.86 % cvc5 exiting %------------------------------------------------------------------------------