%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM839+2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 0.14s 0.37s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM839+2 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 07:29:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.37 % SZS status Theorem % 0.14/0.37 % SZS output start Proof % 0.14/0.37 ( % 0.14/0.37 (declare-sort $$unsorted 0) % 0.14/0.37 (declare-const tptp.v1 $$unsorted) % 0.14/0.37 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.14/0.37 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.14/0.37 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.14/0.37 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.14/0.37 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.37 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.14/0.37 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.14/0.37 (declare-const tptp.vd330 $$unsorted) % 0.14/0.37 (declare-const tptp.vd328 $$unsorted) % 0.14/0.37 (declare-const tptp.vd329 $$unsorted) % 0.14/0.37 (define @t1 () (tptp.greater tptp.vd328 tptp.vd329)) % 0.14/0.37 (define @t2 () (tptp.vplus tptp.vd329 tptp.vd330)) % 0.14/0.37 (define @t3 () (tptp.vplus tptp.vd328 tptp.vd330)) % 0.14/0.37 (define @t4 () (tptp.greater @t3 @t2)) % 0.14/0.37 (define @t5 () (@var "Vd303" $$unsorted)) % 0.14/0.37 (define @t6 () (@var "Vd302" $$unsorted)) % 0.14/0.37 (define @t7 () (tptp.vplus @t6 @t5)) % 0.14/0.37 (define @t8 () (@var "Vd301" $$unsorted)) % 0.14/0.37 (define @t9 () (tptp.vplus @t8 @t5)) % 0.14/0.37 (define @t10 () (tptp.less @t9 @t7)) % 0.14/0.37 (define @t11 () (tptp.less @t8 @t6)) % 0.14/0.37 (define @t12 () (@list @t8 @t6 @t5)) % 0.14/0.37 (define @t13 () (forall @t12 (=> @t11 @t10))) % 0.14/0.37 (define @t14 () (@var "Vd295" $$unsorted)) % 0.14/0.37 (define @t15 () (@var "Vd296" $$unsorted)) % 0.14/0.37 (define @t16 () (@var "Vd292" $$unsorted)) % 0.14/0.37 (define @t17 () (@var "Vd289" $$unsorted)) % 0.14/0.37 (define @t18 () (@var "Vd290" $$unsorted)) % 0.14/0.37 (define @t19 () (@var "Vd283" $$unsorted)) % 0.14/0.37 (define @t20 () (@var "Vd281" $$unsorted)) % 0.14/0.37 (define @t21 () (@var "Vd282" $$unsorted)) % 0.14/0.37 (define @t22 () (@var "Vd265" $$unsorted)) % 0.14/0.37 (define @t23 () (@var "Vd262" $$unsorted)) % 0.14/0.37 (define @t24 () (@var "Vd263" $$unsorted)) % 0.14/0.37 (define @t25 () (@var "Vd258" $$unsorted)) % 0.14/0.37 (define @t26 () (@var "Vd259" $$unsorted)) % 0.14/0.37 (define @t27 () (@var "Vd254" $$unsorted)) % 0.14/0.37 (define @t28 () (@var "Vd255" $$unsorted)) % 0.14/0.37 (define @t29 () (@var "Vd249" $$unsorted)) % 0.14/0.37 (define @t30 () (@var "Vd250" $$unsorted)) % 0.14/0.37 (define @t31 () (@var "Vd244" $$unsorted)) % 0.14/0.37 (define @t32 () (@var "Vd245" $$unsorted)) % 0.14/0.37 (define @t33 () (@var "Vd226" $$unsorted)) % 0.14/0.37 (define @t34 () (@var "Vd227" $$unsorted)) % 0.14/0.37 (define @t35 () (@var "Vd208" $$unsorted)) % 0.14/0.37 (define @t36 () (@var "Vd209" $$unsorted)) % 0.14/0.37 (define @t37 () (tptp.less @t36 @t35)) % 0.14/0.37 (define @t38 () (tptp.greater @t35 @t36)) % 0.14/0.37 (define @t39 () (forall (@list @t35 @t36) (=> @t38 @t37))) % 0.14/0.37 (define @t40 () (@var "Vd204" $$unsorted)) % 0.14/0.37 (define @t41 () (@var "Vd203" $$unsorted)) % 0.14/0.37 (define @t42 () (tptp.less @t41 @t40)) % 0.14/0.37 (define @t43 () (tptp.greater @t41 @t40)) % 0.14/0.37 (define @t44 () (= @t41 @t40)) % 0.14/0.37 (define @t45 () (@list @t41 @t40)) % 0.14/0.37 (define @t46 () (not @t42)) % 0.14/0.37 (define @t47 () (not @t44)) % 0.14/0.37 (define @t48 () (not @t43)) % 0.14/0.37 (define @t49 () (@var "Vd201" $$unsorted)) % 0.14/0.37 (define @t50 () (@var "Vd199" $$unsorted)) % 0.14/0.37 (define @t51 () (@var "Vd198" $$unsorted)) % 0.14/0.37 (define @t52 () (@var "Vd196" $$unsorted)) % 0.14/0.37 (define @t53 () (@var "Vd193" $$unsorted)) % 0.14/0.37 (define @t54 () (@var "Vd194" $$unsorted)) % 0.14/0.37 (define @t55 () (@var "Vd125" $$unsorted)) % 0.14/0.37 (define @t56 () (@var "Vd120" $$unsorted)) % 0.14/0.37 (define @t57 () (@var "Vd121" $$unsorted)) % 0.14/0.37 (define @t58 () (exists (@list @t55) (= @t57 (tptp.vplus @t56 @t55)))) % 0.14/0.37 (define @t59 () (@var "Vd123" $$unsorted)) % 0.14/0.37 (define @t60 () (exists (@list @t59) (= @t56 (tptp.vplus @t57 @t59)))) % 0.14/0.37 (define @t61 () (= @t56 @t57)) % 0.14/0.37 (define @t62 () (@list @t56 @t57)) % 0.14/0.37 (define @t63 () (not @t58)) % 0.14/0.37 (define @t64 () (not @t61)) % 0.14/0.37 (define @t65 () (not @t60)) % 0.14/0.37 (define @t66 () (@var "Vd105" $$unsorted)) % 0.14/0.37 (define @t67 () (@var "Vd107" $$unsorted)) % 0.14/0.37 (define @t68 () (@var "Vd104" $$unsorted)) % 0.14/0.37 (define @t69 () (@var "Vd93" $$unsorted)) % 0.14/0.37 (define @t70 () (@var "Vd92" $$unsorted)) % 0.14/0.37 (define @t71 () (@var "Vd79" $$unsorted)) % 0.14/0.37 (define @t72 () (@var "Vd78" $$unsorted)) % 0.14/0.37 (define @t73 () (@var "Vd69" $$unsorted)) % 0.14/0.37 (define @t74 () (@var "Vd68" $$unsorted)) % 0.14/0.37 (define @t75 () (@var "Vd59" $$unsorted)) % 0.14/0.37 (define @t76 () (@var "Vd48" $$unsorted)) % 0.14/0.37 (define @t77 () (@var "Vd47" $$unsorted)) % 0.14/0.37 (define @t78 () (@var "Vd46" $$unsorted)) % 0.14/0.37 (define @t79 () (@var "Vd42" $$unsorted)) % 0.14/0.37 (define @t80 () (@var "Vd43" $$unsorted)) % 0.14/0.37 (define @t81 () (@var "Vd24" $$unsorted)) % 0.14/0.37 (define @t82 () (@var "Vd16" $$unsorted)) % 0.14/0.37 (define @t83 () (@var "Vd8" $$unsorted)) % 0.14/0.37 (define @t84 () (@var "Vd7" $$unsorted)) % 0.14/0.37 (define @t85 () (tptp.less @t3 @t2)) % 0.14/0.37 (define @t86 () (not @t85)) % 0.14/0.37 (define @t87 () (not @t4)) % 0.14/0.37 (define @t88 () (or @t87 @t86)) % 0.14/0.37 (define @t89 () (not (tptp.greater @t2 @t3))) % 0.14/0.37 (define @t90 () (or @t89 @t85)) % 0.14/0.37 (define @t91 () (@list true false)) % 0.14/0.37 (define @t92 () (tptp.less tptp.vd328 tptp.vd329)) % 0.14/0.37 (define @t93 () (not @t92)) % 0.14/0.37 (define @t94 () (or @t93 @t85)) % 0.14/0.37 (define @t95 () (= tptp.vd328 tptp.vd329)) % 0.14/0.37 (define @t96 () (or @t95 @t1 @t92)) % 0.14/0.37 (assume @p1 (not @t1)) % 0.14/0.37 (assume @p2 @t4) % 0.14/0.37 (assume @p3 @t13) % 0.14/0.37 (assume @p4 (forall @t12 (=> (= @t8 @t6) (= @t9 @t7)))) % 0.14/0.37 (assume @p5 (forall @t12 (=> (tptp.greater @t8 @t6) (tptp.greater @t9 @t7)))) % 0.14/0.37 (assume @p6 (forall (@list @t14 @t15) (tptp.greater (tptp.vplus @t14 @t15) @t14))) % 0.14/0.37 (assume @p7 (forall (@list @t17 @t18 @t16) (=> (and (tptp.leq @t18 @t16) (tptp.leq @t17 @t18)) (tptp.leq @t17 @t16)))) % 0.14/0.37 (assume @p8 (forall (@list @t20 @t21 @t19) (=> (or (and (tptp.less @t21 @t19) (tptp.leq @t20 @t21)) (and (tptp.leq @t21 @t19) (tptp.less @t20 @t21))) (tptp.less @t20 @t19)))) % 0.14/0.37 (assume @p9 (forall (@list @t23 @t24 @t22) (=> (and (tptp.less @t24 @t22) (tptp.less @t23 @t24)) (tptp.less @t23 @t22)))) % 0.14/0.37 (assume @p10 (forall (@list @t25 @t26) (=> (tptp.leq @t25 @t26) (tptp.geq @t26 @t25)))) % 0.14/0.37 (assume @p11 (forall (@list @t27 @t28) (=> (tptp.geq @t27 @t28) (tptp.leq @t28 @t27)))) % 0.14/0.37 (assume @p12 (forall (@list @t29 @t30) (= (tptp.leq @t30 @t29) (or (tptp.less @t30 @t29) (= @t30 @t29))))) % 0.14/0.37 (assume @p13 (forall (@list @t31 @t32) (= (tptp.geq @t32 @t31) (or (tptp.greater @t32 @t31) (= @t32 @t31))))) % 0.14/0.37 (assume @p14 (forall (@list @t33 @t34) (=> (tptp.less @t33 @t34) (tptp.greater @t34 @t33)))) % 0.14/0.37 (assume @p15 @t39) % 0.14/0.37 (assume @p16 (forall @t45 (or @t44 @t43 @t42))) % 0.14/0.37 (assume @p17 (forall @t45 (or @t47 @t46))) % 0.14/0.37 (assume @p18 (forall @t45 (or @t48 @t46))) % 0.14/0.37 (assume @p19 (forall @t45 (or @t47 @t48))) % 0.14/0.37 (assume @p20 (forall (@list @t51 @t50) (= (tptp.less @t50 @t51) (exists (@list @t49) (= @t51 (tptp.vplus @t50 @t49)))))) % 0.14/0.37 (assume @p21 (forall (@list @t53 @t54) (= (tptp.greater @t54 @t53) (exists (@list @t52) (= @t54 (tptp.vplus @t53 @t52)))))) % 0.14/0.37 (assume @p22 (forall @t62 (or @t61 @t60 @t58))) % 0.14/0.37 (assume @p23 (forall @t62 (or @t64 @t63))) % 0.14/0.37 (assume @p24 (forall @t62 (or @t65 @t63))) % 0.14/0.37 (assume @p25 (forall @t62 (or @t64 @t65))) % 0.14/0.37 (assume @p26 (forall (@list @t68 @t66) (=> (not (= @t68 @t66)) (forall (@list @t67) (not (= (tptp.vplus @t67 @t68) (tptp.vplus @t67 @t66))))))) % 0.14/0.37 (assume @p27 (forall (@list @t70 @t69) (not (= @t69 (tptp.vplus @t70 @t69))))) % 0.14/0.37 (assume @p28 (forall (@list @t72 @t71) (= (tptp.vplus @t71 @t72) (tptp.vplus @t72 @t71)))) % 0.14/0.37 (assume @p29 (forall (@list @t74 @t73) (= (tptp.vplus (tptp.vsucc @t74) @t73) (tptp.vsucc (tptp.vplus @t74 @t73))))) % 0.14/0.37 (assume @p30 (forall (@list @t75) (= (tptp.vplus tptp.v1 @t75) (tptp.vsucc @t75)))) % 0.14/0.37 (assume @p31 (forall (@list @t78 @t77 @t76) (= (tptp.vplus (tptp.vplus @t78 @t77) @t76) (tptp.vplus @t78 (tptp.vplus @t77 @t76))))) % 0.14/0.37 (assume @p32 (forall (@list @t79 @t80) (and (= (tptp.vplus @t79 (tptp.vsucc @t80)) (tptp.vsucc (tptp.vplus @t79 @t80))) (= (tptp.vplus @t79 tptp.v1) (tptp.vsucc @t79))))) % 0.14/0.37 (assume @p33 (forall (@list @t81) (=> (not (= @t81 tptp.v1)) (= @t81 (tptp.vsucc (tptp.vskolem2 @t81)))))) % 0.14/0.37 (assume @p34 (forall (@list @t82) (not (= (tptp.vsucc @t82) @t82)))) % 0.14/0.37 (assume @p35 (forall (@list @t84 @t83) (=> (not (= @t84 @t83)) (not (= (tptp.vsucc @t84) (tptp.vsucc @t83)))))) % 0.14/0.37 (assume @p36 true) % 0.14/0.37 (step @p37 :rule evaluate :args ((= true false))) % 0.14/0.37 (step @p38 :rule bool-impl-elim :args (@t38 @t37)) % 0.14/0.37 (step @p39 :rule cong :premises (@p38) :args (@t39)) % 0.14/0.37 (step @p40 :rule eq_resolve :premises (@p15 @p39)) % 0.14/0.37 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t2 @t3))) % 0.14/0.37 (step @p42 :rule instantiate :premises (@p18) :args ((@list @t3 @t2))) % 0.14/0.37 (step @p43 :rule cnf_or_pos :args (@t88)) % 0.14/0.37 (step @p44 :rule reordering :premises (@p43) :args ((or @t87 @t86 (not @t88)))) % 0.14/0.37 (step @p45 :rule chain_m_resolution :premises (@p44 @p2 @p42) :args (@t86 (@list false false) (@list @t4 @t88))) % 0.14/0.37 (step @p46 :rule cnf_or_pos :args (@t90)) % 0.14/0.37 (step @p47 :rule reordering :premises (@p46) :args ((or @t85 @t89 (not @t90)))) % 0.14/0.37 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p41) :args (@t89 @t91 (@list @t85 @t90))) % 0.14/0.37 (step @p49 :rule false_intro :premises (@p48)) % 0.14/0.37 (step @p50 :rule instantiate :premises (@p28) :args ((@list tptp.vd330 tptp.vd328))) % 0.14/0.37 (step @p51 :rule symm :premises (@p50)) % 0.14/0.37 (step @p52 :rule instantiate :premises (@p16) :args ((@list tptp.vd328 tptp.vd329))) % 0.14/0.37 (step @p53 :rule bool-impl-elim :args (@t11 @t10)) % 0.14/0.37 (step @p54 :rule cong :premises (@p53) :args (@t13)) % 0.14/0.37 (step @p55 :rule eq_resolve :premises (@p3 @p54)) % 0.14/0.37 (step @p56 :rule instantiate :premises (@p55) :args ((@list tptp.vd328 tptp.vd329 tptp.vd330))) % 0.14/0.37 (step @p57 :rule cnf_or_pos :args (@t94)) % 0.14/0.37 (step @p58 :rule reordering :premises (@p57) :args ((or @t85 @t93 (not @t94)))) % 0.14/0.37 (step @p59 :rule chain_m_resolution :premises (@p58 @p45 @p56) :args (@t93 @t91 (@list @t85 @t94))) % 0.14/0.37 (step @p60 :rule cnf_or_pos :args (@t96)) % 0.14/0.37 (step @p61 :rule reordering :premises (@p60) :args ((or @t1 @t95 @t92 (not @t96)))) % 0.14/0.37 (step @p62 :rule chain_m_resolution :premises (@p61 @p1 @p59 @p52) :args (@t95 (@list true true false) (@list @t1 @t92 @t96))) % 0.14/0.37 (step @p63 :rule symm :premises (@p62)) % 0.14/0.37 (step @p64 :rule refl :args (tptp.vd330)) % 0.14/0.37 (step @p65 :rule cong :premises (@p64 @p63) :args ((tptp.vplus tptp.vd330 tptp.vd329))) % 0.14/0.37 (step @p66 :rule instantiate :premises (@p28) :args ((@list tptp.vd330 tptp.vd329))) % 0.14/0.37 (step @p67 :rule trans :premises (@p66 @p65 @p51)) % 0.14/0.37 (step @p68 :rule symm :premises (@p67)) % 0.14/0.37 (step @p69 :rule cong :premises (@p68 @p67) :args (@t4)) % 0.14/0.37 (step @p70 :rule true_intro :premises (@p2)) % 0.14/0.37 (step @p71 :rule symm :premises (@p70)) % 0.14/0.37 (step @p72 :rule trans :premises (@p71 @p69 @p49)) % 0.14/0.37 (step @p73 false :rule eq_resolve :premises (@p72 @p37)) % 0.14/0.37 ) % 0.14/0.37 % SZS output end Proof % 0.14/0.37 % cvc5 exiting %------------------------------------------------------------------------------