%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM840+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 : n013.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 08:40:47 AM UTC 2026 % Result : Theorem 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM840+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 % 0.16/0.34 % Computer : n013.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 12:29:00 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.59 % SZS status Theorem % 0.39/0.59 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.v1 $$unsorted) % 0.39/0.59 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.vd330 $$unsorted) % 0.39/0.59 (declare-const tptp.vd328 $$unsorted) % 0.39/0.59 (declare-const tptp.vd329 $$unsorted) % 0.39/0.59 (define @t1 () (tptp.less tptp.vd328 tptp.vd329)) % 0.39/0.59 (define @t2 () (tptp.vplus tptp.vd329 tptp.vd330)) % 0.39/0.59 (define @t3 () (tptp.vplus tptp.vd328 tptp.vd330)) % 0.39/0.59 (define @t4 () (tptp.less @t3 @t2)) % 0.39/0.59 (define @t5 () (= tptp.vd328 tptp.vd329)) % 0.39/0.59 (define @t6 () (tptp.greater @t3 @t2)) % 0.39/0.59 (define @t7 () (@var "Vd303" $$unsorted)) % 0.39/0.59 (define @t8 () (@var "Vd302" $$unsorted)) % 0.39/0.59 (define @t9 () (tptp.vplus @t8 @t7)) % 0.39/0.59 (define @t10 () (@var "Vd301" $$unsorted)) % 0.39/0.59 (define @t11 () (tptp.vplus @t10 @t7)) % 0.39/0.59 (define @t12 () (tptp.less @t11 @t9)) % 0.39/0.59 (define @t13 () (tptp.less @t10 @t8)) % 0.39/0.59 (define @t14 () (@list @t10 @t8 @t7)) % 0.39/0.59 (define @t15 () (forall @t14 (=> @t13 @t12))) % 0.39/0.59 (define @t16 () (@var "Vd226" $$unsorted)) % 0.39/0.59 (define @t17 () (@var "Vd227" $$unsorted)) % 0.39/0.59 (define @t18 () (tptp.greater @t17 @t16)) % 0.39/0.59 (define @t19 () (tptp.less @t16 @t17)) % 0.39/0.59 (define @t20 () (forall (@list @t16 @t17) (=> @t19 @t18))) % 0.39/0.59 (define @t21 () (@var "Vd208" $$unsorted)) % 0.39/0.59 (define @t22 () (@var "Vd209" $$unsorted)) % 0.39/0.59 (define @t23 () (tptp.less @t22 @t21)) % 0.39/0.59 (define @t24 () (tptp.greater @t21 @t22)) % 0.39/0.59 (define @t25 () (forall (@list @t21 @t22) (=> @t24 @t23))) % 0.39/0.59 (define @t26 () (@var "Vd204" $$unsorted)) % 0.39/0.59 (define @t27 () (@var "Vd203" $$unsorted)) % 0.39/0.59 (define @t28 () (tptp.less @t27 @t26)) % 0.39/0.59 (define @t29 () (tptp.greater @t27 @t26)) % 0.39/0.59 (define @t30 () (= @t27 @t26)) % 0.39/0.59 (define @t31 () (@list @t27 @t26)) % 0.39/0.59 (define @t32 () (forall @t31 (or @t30 @t29 @t28))) % 0.39/0.59 (define @t33 () (not @t28)) % 0.39/0.59 (define @t34 () (not @t30)) % 0.39/0.59 (define @t35 () (not @t29)) % 0.39/0.59 (define @t36 () (@var "Vd201" $$unsorted)) % 0.39/0.59 (define @t37 () (@var "Vd199" $$unsorted)) % 0.39/0.59 (define @t38 () (@var "Vd198" $$unsorted)) % 0.39/0.59 (define @t39 () (@var "Vd196" $$unsorted)) % 0.39/0.59 (define @t40 () (@var "Vd193" $$unsorted)) % 0.39/0.59 (define @t41 () (@var "Vd194" $$unsorted)) % 0.39/0.59 (define @t42 () (@var "Vd125" $$unsorted)) % 0.39/0.59 (define @t43 () (@var "Vd120" $$unsorted)) % 0.39/0.59 (define @t44 () (@var "Vd121" $$unsorted)) % 0.39/0.59 (define @t45 () (exists (@list @t42) (= @t44 (tptp.vplus @t43 @t42)))) % 0.39/0.59 (define @t46 () (@var "Vd123" $$unsorted)) % 0.39/0.59 (define @t47 () (exists (@list @t46) (= @t43 (tptp.vplus @t44 @t46)))) % 0.39/0.59 (define @t48 () (= @t43 @t44)) % 0.39/0.59 (define @t49 () (@list @t43 @t44)) % 0.39/0.59 (define @t50 () (not @t45)) % 0.39/0.59 (define @t51 () (not @t48)) % 0.39/0.59 (define @t52 () (not @t47)) % 0.39/0.59 (define @t53 () (@var "Vd105" $$unsorted)) % 0.39/0.59 (define @t54 () (@var "Vd107" $$unsorted)) % 0.39/0.59 (define @t55 () (@var "Vd104" $$unsorted)) % 0.39/0.59 (define @t56 () (@var "Vd93" $$unsorted)) % 0.39/0.59 (define @t57 () (@var "Vd92" $$unsorted)) % 0.39/0.59 (define @t58 () (@var "Vd79" $$unsorted)) % 0.39/0.59 (define @t59 () (@var "Vd78" $$unsorted)) % 0.39/0.59 (define @t60 () (@var "Vd69" $$unsorted)) % 0.39/0.59 (define @t61 () (@var "Vd68" $$unsorted)) % 0.39/0.59 (define @t62 () (@var "Vd59" $$unsorted)) % 0.39/0.59 (define @t63 () (@var "Vd48" $$unsorted)) % 0.39/0.59 (define @t64 () (@var "Vd47" $$unsorted)) % 0.39/0.59 (define @t65 () (@var "Vd46" $$unsorted)) % 0.39/0.59 (define @t66 () (@var "Vd42" $$unsorted)) % 0.39/0.59 (define @t67 () (@var "Vd43" $$unsorted)) % 0.39/0.59 (define @t68 () (@list @t3 @t2)) % 0.39/0.59 (define @t69 () (not @t4)) % 0.39/0.59 (define @t70 () (not @t6)) % 0.39/0.59 (define @t71 () (or @t70 @t69)) % 0.39/0.59 (define @t72 () (@list false false)) % 0.39/0.59 (define @t73 () (tptp.less tptp.vd329 tptp.vd328)) % 0.39/0.59 (define @t74 () (tptp.greater tptp.vd329 tptp.vd328)) % 0.39/0.59 (define @t75 () (or (= tptp.vd329 tptp.vd328) @t74 @t73)) % 0.39/0.59 (define @t76 () (@list tptp.vd329 tptp.vd328)) % 0.39/0.59 (define @t77 () (or @t5 @t74 @t73)) % 0.39/0.59 (define @t78 () (not @t74)) % 0.39/0.59 (define @t79 () (or @t78 @t1)) % 0.39/0.59 (define @t80 () (@list true false)) % 0.39/0.59 (define @t81 () (tptp.less @t2 @t3)) % 0.39/0.59 (define @t82 () (not @t81)) % 0.39/0.59 (define @t83 () (or @t82 @t6)) % 0.39/0.59 (define @t84 () (not @t73)) % 0.39/0.59 (define @t85 () (or @t84 @t81)) % 0.39/0.59 (define @t86 () (tptp.greater @t2 @t3)) % 0.39/0.59 (define @t87 () (or @t69 @t86)) % 0.39/0.59 (assume @p1 (not @t1)) % 0.39/0.59 (assume @p2 @t4) % 0.39/0.59 (assume @p3 (=> (= @t3 @t2) @t5)) % 0.39/0.59 (assume @p4 (=> @t6 (tptp.greater tptp.vd328 tptp.vd329))) % 0.39/0.59 (assume @p5 @t15) % 0.39/0.59 (assume @p6 (forall @t14 (=> (= @t10 @t8) (= @t11 @t9)))) % 0.39/0.59 (assume @p7 (forall @t14 (=> (tptp.greater @t10 @t8) (tptp.greater @t11 @t9)))) % 0.39/0.59 (assume @p8 @t20) % 0.39/0.59 (assume @p9 @t25) % 0.39/0.59 (assume @p10 @t32) % 0.39/0.59 (assume @p11 (forall @t31 (or @t34 @t33))) % 0.39/0.59 (assume @p12 (forall @t31 (or @t35 @t33))) % 0.39/0.59 (assume @p13 (forall @t31 (or @t34 @t35))) % 0.39/0.59 (assume @p14 (forall (@list @t38 @t37) (= (tptp.less @t37 @t38) (exists (@list @t36) (= @t38 (tptp.vplus @t37 @t36)))))) % 0.39/0.59 (assume @p15 (forall (@list @t40 @t41) (= (tptp.greater @t41 @t40) (exists (@list @t39) (= @t41 (tptp.vplus @t40 @t39)))))) % 0.39/0.59 (assume @p16 (forall @t49 (or @t48 @t47 @t45))) % 0.39/0.59 (assume @p17 (forall @t49 (or @t51 @t50))) % 0.39/0.59 (assume @p18 (forall @t49 (or @t52 @t50))) % 0.39/0.59 (assume @p19 (forall @t49 (or @t51 @t52))) % 0.39/0.59 (assume @p20 (forall (@list @t55 @t53) (=> (not (= @t55 @t53)) (forall (@list @t54) (not (= (tptp.vplus @t54 @t55) (tptp.vplus @t54 @t53))))))) % 0.39/0.59 (assume @p21 (forall (@list @t57 @t56) (not (= @t56 (tptp.vplus @t57 @t56))))) % 0.39/0.59 (assume @p22 (forall (@list @t59 @t58) (= (tptp.vplus @t58 @t59) (tptp.vplus @t59 @t58)))) % 0.39/0.59 (assume @p23 (forall (@list @t61 @t60) (= (tptp.vplus (tptp.vsucc @t61) @t60) (tptp.vsucc (tptp.vplus @t61 @t60))))) % 0.39/0.59 (assume @p24 (forall (@list @t62) (= (tptp.vplus tptp.v1 @t62) (tptp.vsucc @t62)))) % 0.39/0.59 (assume @p25 (forall (@list @t65 @t64 @t63) (= (tptp.vplus (tptp.vplus @t65 @t64) @t63) (tptp.vplus @t65 (tptp.vplus @t64 @t63))))) % 0.39/0.59 (assume @p26 (forall (@list @t66 @t67) (and (= (tptp.vplus @t66 (tptp.vsucc @t67)) (tptp.vsucc (tptp.vplus @t66 @t67))) (= (tptp.vplus @t66 tptp.v1) (tptp.vsucc @t66))))) % 0.39/0.59 (assume @p27 true) % 0.39/0.59 (step @p28 :rule evaluate :args ((= true false))) % 0.39/0.59 (step @p29 :rule instantiate :premises (@p12) :args (@t68)) % 0.39/0.59 (step @p30 :rule cnf_or_pos :args (@t71)) % 0.39/0.59 (step @p31 :rule reordering :premises (@p30) :args ((or @t69 @t70 (not @t71)))) % 0.39/0.59 (step @p32 :rule chain_m_resolution :premises (@p31 @p2 @p29) :args (@t70 @t72 (@list @t4 @t71))) % 0.39/0.59 (step @p33 :rule false_intro :premises (@p32)) % 0.39/0.59 (step @p34 :rule instantiate :premises (@p22) :args ((@list tptp.vd330 tptp.vd329))) % 0.39/0.59 (step @p35 :rule symm :premises (@p34)) % 0.39/0.59 (step @p36 :rule refl :args (@t73)) % 0.39/0.59 (step @p37 :rule refl :args (@t74)) % 0.39/0.59 (step @p38 :rule eq-symm :args (tptp.vd329 tptp.vd328)) % 0.39/0.59 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36) :args (@t75)) % 0.39/0.59 (step @p40 :rule refl :args (@t32)) % 0.39/0.59 (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t32 @t75))) % 0.39/0.59 (assume-push @p87 @t32) % 0.39/0.59 (step @p43 :rule instantiate :premises (@p10) :args (@t76)) % 0.39/0.59 (step-pop @p88 :rule scope :premises (@p43)) % 0.39/0.59 (step @p44 :rule process_scope :premises (@p88) :args (@t75)) % 0.39/0.59 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 0.39/0.59 (step @p47 :rule implies_elim :premises (@p46)) % 0.39/0.59 (step @p48 :rule chain_m_resolution :premises (@p47 @p10) :args (@t77 (@list false) (@list @t32))) % 0.39/0.59 (step @p49 :rule bool-impl-elim :args (@t24 @t23)) % 0.39/0.59 (step @p50 :rule cong :premises (@p49) :args (@t25)) % 0.39/0.59 (step @p51 :rule eq_resolve :premises (@p9 @p50)) % 0.39/0.59 (step @p52 :rule instantiate :premises (@p51) :args (@t76)) % 0.39/0.59 (step @p53 :rule cnf_or_pos :args (@t79)) % 0.39/0.59 (step @p54 :rule reordering :premises (@p53) :args ((or @t1 @t78 (not @t79)))) % 0.39/0.59 (step @p55 :rule chain_m_resolution :premises (@p54 @p1 @p52) :args (@t78 @t80 (@list @t1 @t79))) % 0.39/0.59 (step @p56 :rule bool-impl-elim :args (@t13 @t12)) % 0.39/0.59 (step @p57 :rule cong :premises (@p56) :args (@t15)) % 0.39/0.59 (step @p58 :rule eq_resolve :premises (@p5 @p57)) % 0.39/0.59 (step @p59 :rule instantiate :premises (@p58) :args ((@list tptp.vd329 tptp.vd328 tptp.vd330))) % 0.39/0.59 (step @p60 :rule bool-impl-elim :args (@t19 @t18)) % 0.39/0.59 (step @p61 :rule cong :premises (@p60) :args (@t20)) % 0.39/0.59 (step @p62 :rule eq_resolve :premises (@p8 @p61)) % 0.39/0.59 (step @p63 :rule instantiate :premises (@p62) :args ((@list @t2 @t3))) % 0.39/0.59 (step @p64 :rule cnf_or_pos :args (@t83)) % 0.39/0.59 (step @p65 :rule reordering :premises (@p64) :args ((or @t6 @t82 (not @t83)))) % 0.39/0.59 (step @p66 :rule chain_m_resolution :premises (@p65 @p32 @p63) :args (@t82 @t80 (@list @t6 @t83))) % 0.39/0.59 (step @p67 :rule cnf_or_pos :args (@t85)) % 0.39/0.59 (step @p68 :rule reordering :premises (@p67) :args ((or @t84 @t81 (not @t85)))) % 0.39/0.59 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p59) :args (@t84 @t80 (@list @t81 @t85))) % 0.39/0.59 (step @p70 :rule cnf_or_pos :args (@t77)) % 0.39/0.59 (step @p71 :rule reordering :premises (@p70) :args ((or @t5 @t73 @t74 (not @t77)))) % 0.39/0.59 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p55 @p48) :args (@t5 (@list true true false) (@list @t73 @t74 @t77))) % 0.39/0.59 (step @p73 :rule refl :args (tptp.vd330)) % 0.39/0.59 (step @p74 :rule cong :premises (@p73 @p72) :args ((tptp.vplus tptp.vd330 tptp.vd328))) % 0.39/0.59 (step @p75 :rule instantiate :premises (@p22) :args ((@list tptp.vd330 tptp.vd328))) % 0.39/0.59 (step @p76 :rule trans :premises (@p75 @p74 @p35)) % 0.39/0.59 (step @p77 :rule symm :premises (@p76)) % 0.39/0.59 (step @p78 :rule cong :premises (@p77 @p76) :args (@t86)) % 0.39/0.59 (step @p79 :rule instantiate :premises (@p62) :args (@t68)) % 0.39/0.59 (step @p80 :rule cnf_or_pos :args (@t87)) % 0.39/0.59 (step @p81 :rule reordering :premises (@p80) :args ((or @t69 @t86 (not @t87)))) % 0.39/0.59 (step @p82 :rule chain_m_resolution :premises (@p81 @p2 @p79) :args (@t86 @t72 (@list @t4 @t87))) % 0.39/0.59 (step @p83 :rule true_intro :premises (@p82)) % 0.39/0.59 (step @p84 :rule symm :premises (@p83)) % 0.39/0.59 (step @p85 :rule trans :premises (@p84 @p78 @p33)) % 0.39/0.59 (step @p86 false :rule eq_resolve :premises (@p85 @p28)) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------