%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM852+2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:40:50 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM852+2 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n020.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 12:30:10 EDT 2026 % 0.18/0.34 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.vskolem9 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.vd481 $$unsorted) % 0.39/0.57 (declare-const tptp.vmul (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.vd480 $$unsorted) % 0.39/0.57 (declare-const tptp.vd469 $$unsorted) % 0.39/0.57 (define @t1 () (tptp.vmul tptp.vd480 tptp.vd469)) % 0.39/0.57 (define @t2 () (tptp.vmul tptp.vd481 tptp.vd469)) % 0.39/0.57 (define @t3 () (tptp.greater @t2 @t1)) % 0.39/0.57 (define @t4 () (tptp.greater tptp.vd481 tptp.vd480)) % 0.39/0.57 (define @t5 () (@var "Vd477" $$unsorted)) % 0.39/0.57 (define @t6 () (@var "Vd476" $$unsorted)) % 0.39/0.57 (define @t7 () (@var "Vd471" $$unsorted)) % 0.39/0.57 (define @t8 () (tptp.vmul @t7 tptp.vd469)) % 0.39/0.57 (define @t9 () (@var "Vd470" $$unsorted)) % 0.39/0.57 (define @t10 () (tptp.vskolem9 @t9 @t7)) % 0.39/0.57 (define @t11 () (tptp.vplus @t8 (tptp.vmul @t10 tptp.vd469))) % 0.39/0.57 (define @t12 () (tptp.greater @t9 @t7)) % 0.39/0.57 (define @t13 () (@list @t9 @t7)) % 0.39/0.57 (define @t14 () (tptp.vplus @t7 @t10)) % 0.39/0.57 (define @t15 () (tptp.vmul @t14 tptp.vd469)) % 0.39/0.57 (define @t16 () (=> @t12 (= @t15 @t11))) % 0.39/0.57 (define @t17 () (forall @t13 @t16)) % 0.39/0.57 (define @t18 () (tptp.vmul @t9 tptp.vd469)) % 0.39/0.57 (define @t19 () (=> @t12 (= @t18 @t15))) % 0.39/0.57 (define @t20 () (forall @t13 @t19)) % 0.39/0.57 (define @t21 () (@var "Vd446" $$unsorted)) % 0.39/0.57 (define @t22 () (@var "Vd445" $$unsorted)) % 0.39/0.57 (define @t23 () (@var "Vd444" $$unsorted)) % 0.39/0.57 (define @t24 () (@var "Vd434" $$unsorted)) % 0.39/0.57 (define @t25 () (@var "Vd432" $$unsorted)) % 0.39/0.57 (define @t26 () (@var "Vd433" $$unsorted)) % 0.39/0.57 (define @t27 () (@var "Vd418" $$unsorted)) % 0.39/0.57 (define @t28 () (@var "Vd419" $$unsorted)) % 0.39/0.57 (define @t29 () (@var "Vd409" $$unsorted)) % 0.39/0.57 (define @t30 () (@var "Vd408" $$unsorted)) % 0.39/0.57 (define @t31 () (@var "Vd226" $$unsorted)) % 0.39/0.57 (define @t32 () (@var "Vd227" $$unsorted)) % 0.39/0.57 (define @t33 () (@var "Vd208" $$unsorted)) % 0.39/0.57 (define @t34 () (@var "Vd209" $$unsorted)) % 0.39/0.57 (define @t35 () (@var "Vd204" $$unsorted)) % 0.39/0.57 (define @t36 () (@var "Vd203" $$unsorted)) % 0.39/0.57 (define @t37 () (tptp.less @t36 @t35)) % 0.39/0.57 (define @t38 () (tptp.greater @t36 @t35)) % 0.39/0.57 (define @t39 () (= @t36 @t35)) % 0.39/0.57 (define @t40 () (@list @t36 @t35)) % 0.39/0.57 (define @t41 () (not @t37)) % 0.39/0.57 (define @t42 () (not @t39)) % 0.39/0.57 (define @t43 () (not @t38)) % 0.39/0.57 (define @t44 () (@var "Vd201" $$unsorted)) % 0.39/0.57 (define @t45 () (@var "Vd199" $$unsorted)) % 0.39/0.57 (define @t46 () (@var "Vd198" $$unsorted)) % 0.39/0.57 (define @t47 () (@var "Vd196" $$unsorted)) % 0.39/0.57 (define @t48 () (@var "Vd193" $$unsorted)) % 0.39/0.57 (define @t49 () (@var "Vd194" $$unsorted)) % 0.39/0.57 (define @t50 () (= @t49 (tptp.vplus @t48 @t47))) % 0.39/0.57 (define @t51 () (@list @t47)) % 0.39/0.57 (define @t52 () (exists @t51 @t50)) % 0.39/0.57 (define @t53 () (tptp.greater @t49 @t48)) % 0.39/0.57 (define @t54 () (= @t53 @t52)) % 0.39/0.57 (define @t55 () (forall (@list @t48 @t49) @t54)) % 0.39/0.57 (define @t56 () (forall @t51 (not (= @t2 (tptp.vplus @t1 @t47))))) % 0.39/0.57 (define @t57 () (not @t56)) % 0.39/0.57 (define @t58 () (= @t3 @t57)) % 0.39/0.57 (define @t59 () (not @t58)) % 0.39/0.57 (define @t60 () (tptp.vskolem9 tptp.vd481 tptp.vd480)) % 0.39/0.57 (define @t61 () (tptp.vmul @t60 tptp.vd469)) % 0.39/0.57 (define @t62 () (= @t11 @t15)) % 0.39/0.57 (define @t63 () (@list tptp.vd481 tptp.vd480)) % 0.39/0.57 (define @t64 () (tptp.vmul (tptp.vplus tptp.vd480 @t60) tptp.vd469)) % 0.39/0.57 (define @t65 () (= (tptp.vplus @t1 @t61) @t64)) % 0.39/0.57 (define @t66 () (not @t4)) % 0.39/0.57 (define @t67 () (or @t66 @t65)) % 0.39/0.57 (define @t68 () (@list false false)) % 0.39/0.57 (define @t69 () (= @t15 @t18)) % 0.39/0.57 (define @t70 () (or @t66 (= @t64 @t2))) % 0.39/0.57 (define @t71 () (forall @t13 (or (not @t12) @t69))) % 0.39/0.57 (define @t72 () (= @t2 @t64)) % 0.39/0.57 (define @t73 () (or @t66 @t72)) % 0.39/0.57 (assume @p1 (not @t3)) % 0.39/0.57 (assume @p2 @t4) % 0.39/0.57 (assume @p3 (tptp.less tptp.vd480 tptp.vd481)) % 0.39/0.57 (assume @p4 (forall (@list @t6 @t5) (=> (= @t6 @t5) (= (tptp.vmul @t6 tptp.vd469) (tptp.vmul @t5 tptp.vd469))))) % 0.39/0.57 (assume @p5 (forall @t13 (=> @t12 (tptp.greater @t11 @t8)))) % 0.39/0.57 (assume @p6 @t17) % 0.39/0.57 (assume @p7 @t20) % 0.39/0.57 (assume @p8 (forall @t13 (=> @t12 (= @t9 @t14)))) % 0.39/0.57 (assume @p9 (forall (@list @t23 @t22 @t21) (= (tptp.vmul (tptp.vmul @t23 @t22) @t21) (tptp.vmul @t23 (tptp.vmul @t22 @t21))))) % 0.39/0.57 (assume @p10 (forall (@list @t25 @t26 @t24) (= (tptp.vmul @t25 (tptp.vplus @t26 @t24)) (tptp.vplus (tptp.vmul @t25 @t26) (tptp.vmul @t25 @t24))))) % 0.39/0.57 (assume @p11 (forall (@list @t27 @t28) (= (tptp.vmul @t27 @t28) (tptp.vmul @t28 @t27)))) % 0.39/0.57 (assume @p12 (forall (@list @t30 @t29) (= (tptp.vmul (tptp.vsucc @t30) @t29) (tptp.vplus (tptp.vmul @t30 @t29) @t29)))) % 0.39/0.57 (assume @p13 (forall (@list @t31 @t32) (=> (tptp.less @t31 @t32) (tptp.greater @t32 @t31)))) % 0.39/0.57 (assume @p14 (forall (@list @t33 @t34) (=> (tptp.greater @t33 @t34) (tptp.less @t34 @t33)))) % 0.39/0.57 (assume @p15 (forall @t40 (or @t39 @t38 @t37))) % 0.39/0.57 (assume @p16 (forall @t40 (or @t42 @t41))) % 0.39/0.57 (assume @p17 (forall @t40 (or @t43 @t41))) % 0.39/0.57 (assume @p18 (forall @t40 (or @t42 @t43))) % 0.39/0.57 (assume @p19 (forall (@list @t46 @t45) (= (tptp.less @t45 @t46) (exists (@list @t44) (= @t46 (tptp.vplus @t45 @t44)))))) % 0.39/0.57 (assume @p20 @t55) % 0.39/0.57 (assume @p21 true) % 0.39/0.57 (step @p22 :rule evaluate :args ((= true false))) % 0.39/0.57 (step @p23 :rule exists-elim :args ((= @t52 (not (forall @t51 (not @t50)))))) % 0.39/0.57 (step @p24 :rule refl :args (@t53)) % 0.39/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args (@t54)) % 0.39/0.57 (step @p26 :rule cong :premises (@p25) :args (@t55)) % 0.39/0.57 (step @p27 :rule eq_resolve :premises (@p20 @p26)) % 0.39/0.57 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t1 @t2))) % 0.39/0.57 (step @p29 :rule bool-double-not-elim :args (@t56)) % 0.39/0.57 (step @p30 :rule refl :args (@t3)) % 0.39/0.57 (step @p31 :rule refl :args (@t59)) % 0.39/0.57 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29) :args ((or @t59 @t3 (not @t57)))) % 0.39/0.57 (step @p33 :rule cnf_equiv_pos2 :args (@t58)) % 0.39/0.57 (step @p34 :rule eq_resolve :premises (@p33 @p32)) % 0.39/0.57 (step @p35 :rule reordering :premises (@p34) :args ((or @t3 @t56 @t59))) % 0.39/0.57 (step @p36 :rule chain_m_resolution :premises (@p35 @p1 @p28) :args (@t56 (@list true false) (@list @t3 @t58))) % 0.39/0.57 (step @p37 :rule instantiate :premises (@p36) :args ((@list @t61))) % 0.39/0.57 (step @p38 :rule false_intro :premises (@p37)) % 0.39/0.57 (step @p39 :rule bool-impl-elim :args (@t12 @t62)) % 0.39/0.57 (step @p40 :rule cong :premises (@p39) :args ((forall @t13 (=> @t12 @t62)))) % 0.39/0.57 (step @p41 :rule eq-symm :args (@t15 @t11)) % 0.39/0.57 (step @p42 :rule refl :args (@t12)) % 0.39/0.57 (step @p43 :rule cong :premises (@p42 @p41) :args (@t16)) % 0.39/0.57 (step @p44 :rule cong :premises (@p43) :args (@t17)) % 0.39/0.57 (step @p45 :rule trans :premises (@p44 @p40)) % 0.39/0.57 (step @p46 :rule eq_resolve :premises (@p6 @p45)) % 0.39/0.57 (step @p47 :rule instantiate :premises (@p46) :args (@t63)) % 0.39/0.57 (step @p48 :rule cnf_or_pos :args (@t67)) % 0.39/0.57 (step @p49 :rule reordering :premises (@p48) :args ((or @t66 @t65 (not @t67)))) % 0.39/0.57 (step @p50 :rule chain_m_resolution :premises (@p49 @p2 @p47) :args (@t65 @t68 (@list @t4 @t67))) % 0.39/0.57 (step @p51 :rule symm :premises (@p50)) % 0.39/0.57 (step @p52 :rule bool-impl-elim :args (@t12 @t69)) % 0.39/0.57 (step @p53 :rule cong :premises (@p52) :args ((forall @t13 (=> @t12 @t69)))) % 0.39/0.57 (step @p54 :rule eq-symm :args (@t18 @t15)) % 0.39/0.57 (step @p55 :rule cong :premises (@p42 @p54) :args (@t19)) % 0.39/0.57 (step @p56 :rule cong :premises (@p55) :args (@t20)) % 0.39/0.57 (step @p57 :rule trans :premises (@p56 @p53)) % 0.39/0.57 (step @p58 :rule eq_resolve :premises (@p7 @p57)) % 0.39/0.57 (step @p59 :rule eq-symm :args (@t64 @t2)) % 0.39/0.57 (step @p60 :rule refl :args (@t66)) % 0.39/0.57 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t70)) % 0.39/0.57 (step @p62 :rule refl :args (@t71)) % 0.39/0.57 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t71 @t70))) % 0.39/0.57 (assume-push @p82 @t71) % 0.39/0.57 (step @p65 :rule instantiate :premises (@p58) :args (@t63)) % 0.39/0.57 (step-pop @p83 :rule scope :premises (@p65)) % 0.39/0.57 (step @p66 :rule process_scope :premises (@p83) :args (@t70)) % 0.39/0.57 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 0.39/0.57 (step @p69 :rule implies_elim :premises (@p68)) % 0.39/0.57 (step @p70 :rule chain_m_resolution :premises (@p69 @p58) :args (@t73 (@list false) (@list @t71))) % 0.39/0.57 (step @p71 :rule cnf_or_pos :args (@t73)) % 0.39/0.57 (step @p72 :rule reordering :premises (@p71) :args ((or @t66 @t72 (not @t73)))) % 0.39/0.57 (step @p73 :rule chain_m_resolution :premises (@p72 @p2 @p70) :args (@t72 @t68 (@list @t4 @t73))) % 0.39/0.57 (step @p74 :rule instantiate :premises (@p11) :args ((@list tptp.vd481 tptp.vd469))) % 0.39/0.57 (step @p75 :rule symm :premises (@p74)) % 0.39/0.57 (step @p76 :rule trans :premises (@p75 @p73 @p51)) % 0.39/0.57 (step @p77 :rule trans :premises (@p74 @p76)) % 0.39/0.58 (step @p78 :rule true_intro :premises (@p77)) % 0.39/0.58 (step @p79 :rule symm :premises (@p78)) % 0.39/0.58 (step @p80 :rule trans :premises (@p79 @p38)) % 0.39/0.58 (step @p81 false :rule eq_resolve :premises (@p80 @p22)) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------