%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM846+1 : 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 : n011.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 08:40:48 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM846+1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 12:29:20 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.v1 $$unsorted) % 0.39/0.58 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.vd437 $$unsorted) % 0.39/0.58 (declare-const tptp.vmul (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.vd439 $$unsorted) % 0.39/0.58 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.vd436 $$unsorted) % 0.39/0.58 (define @t1 () (tptp.vmul tptp.vd436 tptp.vd437)) % 0.39/0.58 (define @t2 () (tptp.vplus @t1 (tptp.vmul tptp.vd436 tptp.vd439))) % 0.39/0.58 (define @t3 () (tptp.vplus tptp.vd437 tptp.vd439)) % 0.39/0.58 (define @t4 () (tptp.vmul tptp.vd436 @t3)) % 0.39/0.58 (define @t5 () (tptp.vplus @t4 tptp.vd436)) % 0.39/0.58 (define @t6 () (= @t5 (tptp.vplus @t2 tptp.vd436))) % 0.39/0.58 (define @t7 () (tptp.vmul tptp.vd436 (tptp.vsucc @t3))) % 0.39/0.58 (define @t8 () (= @t4 @t2)) % 0.39/0.58 (define @t9 () (tptp.vplus @t1 tptp.vd436)) % 0.39/0.58 (define @t10 () (tptp.vmul tptp.vd436 (tptp.vsucc tptp.vd437))) % 0.39/0.58 (define @t11 () (@var "Vd418" $$unsorted)) % 0.39/0.58 (define @t12 () (@var "Vd419" $$unsorted)) % 0.39/0.58 (define @t13 () (@var "Vd409" $$unsorted)) % 0.39/0.58 (define @t14 () (@var "Vd408" $$unsorted)) % 0.39/0.58 (define @t15 () (@var "Vd400" $$unsorted)) % 0.39/0.58 (define @t16 () (@var "Vd396" $$unsorted)) % 0.39/0.58 (define @t17 () (@var "Vd397" $$unsorted)) % 0.39/0.58 (define @t18 () (@var "Vd387" $$unsorted)) % 0.39/0.58 (define @t19 () (@var "Vd386" $$unsorted)) % 0.39/0.58 (define @t20 () (@var "Vd376" $$unsorted)) % 0.39/0.58 (define @t21 () (@var "Vd375" $$unsorted)) % 0.39/0.58 (define @t22 () (@var "Vd369" $$unsorted)) % 0.39/0.58 (define @t23 () (@var "Vd366" $$unsorted)) % 0.39/0.58 (define @t24 () (@var "Vd363" $$unsorted)) % 0.39/0.58 (define @t25 () (@var "Vd365" $$unsorted)) % 0.39/0.58 (define @t26 () (@var "Vd362" $$unsorted)) % 0.39/0.58 (define @t27 () (@var "Vd356" $$unsorted)) % 0.39/0.58 (define @t28 () (@var "Vd354" $$unsorted)) % 0.39/0.58 (define @t29 () (@var "Vd355" $$unsorted)) % 0.39/0.58 (define @t30 () (@var "Vd353" $$unsorted)) % 0.39/0.58 (define @t31 () (@var "Vd341" $$unsorted)) % 0.39/0.58 (define @t32 () (@var "Vd338" $$unsorted)) % 0.39/0.58 (define @t33 () (@var "Vd340" $$unsorted)) % 0.39/0.58 (define @t34 () (@var "Vd337" $$unsorted)) % 0.39/0.58 (define @t35 () (@var "Vd329" $$unsorted)) % 0.39/0.58 (define @t36 () (@var "Vd328" $$unsorted)) % 0.39/0.58 (define @t37 () (@var "Vd330" $$unsorted)) % 0.39/0.58 (define @t38 () (tptp.vplus @t35 @t37)) % 0.39/0.58 (define @t39 () (tptp.vplus @t36 @t37)) % 0.39/0.58 (define @t40 () (@list @t36 @t35 @t37)) % 0.39/0.58 (define @t41 () (@var "Vd303" $$unsorted)) % 0.39/0.58 (define @t42 () (@var "Vd302" $$unsorted)) % 0.39/0.58 (define @t43 () (tptp.vplus @t42 @t41)) % 0.39/0.58 (define @t44 () (@var "Vd301" $$unsorted)) % 0.39/0.58 (define @t45 () (tptp.vplus @t44 @t41)) % 0.39/0.58 (define @t46 () (@list @t44 @t42 @t41)) % 0.39/0.58 (define @t47 () (@var "Vd295" $$unsorted)) % 0.39/0.58 (define @t48 () (@var "Vd296" $$unsorted)) % 0.39/0.58 (define @t49 () (@var "Vd292" $$unsorted)) % 0.39/0.58 (define @t50 () (@var "Vd289" $$unsorted)) % 0.39/0.58 (define @t51 () (@var "Vd290" $$unsorted)) % 0.39/0.58 (define @t52 () (@var "Vd283" $$unsorted)) % 0.39/0.58 (define @t53 () (@var "Vd281" $$unsorted)) % 0.39/0.58 (define @t54 () (@var "Vd282" $$unsorted)) % 0.39/0.58 (define @t55 () (@var "Vd265" $$unsorted)) % 0.39/0.58 (define @t56 () (@var "Vd262" $$unsorted)) % 0.39/0.58 (define @t57 () (@var "Vd263" $$unsorted)) % 0.39/0.58 (define @t58 () (@var "Vd258" $$unsorted)) % 0.39/0.58 (define @t59 () (@var "Vd259" $$unsorted)) % 0.39/0.58 (define @t60 () (@var "Vd254" $$unsorted)) % 0.39/0.58 (define @t61 () (@var "Vd255" $$unsorted)) % 0.39/0.58 (define @t62 () (@var "Vd249" $$unsorted)) % 0.39/0.58 (define @t63 () (@var "Vd250" $$unsorted)) % 0.39/0.58 (define @t64 () (@var "Vd244" $$unsorted)) % 0.39/0.58 (define @t65 () (@var "Vd245" $$unsorted)) % 0.39/0.58 (define @t66 () (@var "Vd226" $$unsorted)) % 0.39/0.58 (define @t67 () (@var "Vd227" $$unsorted)) % 0.39/0.58 (define @t68 () (@var "Vd208" $$unsorted)) % 0.39/0.58 (define @t69 () (@var "Vd209" $$unsorted)) % 0.39/0.58 (define @t70 () (@var "Vd204" $$unsorted)) % 0.39/0.58 (define @t71 () (@var "Vd203" $$unsorted)) % 0.39/0.58 (define @t72 () (tptp.less @t71 @t70)) % 0.39/0.58 (define @t73 () (tptp.greater @t71 @t70)) % 0.39/0.58 (define @t74 () (= @t71 @t70)) % 0.39/0.58 (define @t75 () (@list @t71 @t70)) % 0.39/0.58 (define @t76 () (not @t72)) % 0.39/0.58 (define @t77 () (not @t74)) % 0.39/0.58 (define @t78 () (not @t73)) % 0.39/0.58 (define @t79 () (@var "Vd201" $$unsorted)) % 0.39/0.58 (define @t80 () (@var "Vd199" $$unsorted)) % 0.39/0.58 (define @t81 () (@var "Vd198" $$unsorted)) % 0.39/0.58 (define @t82 () (@var "Vd196" $$unsorted)) % 0.39/0.58 (define @t83 () (@var "Vd193" $$unsorted)) % 0.39/0.58 (define @t84 () (@var "Vd194" $$unsorted)) % 0.39/0.58 (define @t85 () (@var "Vd125" $$unsorted)) % 0.39/0.58 (define @t86 () (@var "Vd120" $$unsorted)) % 0.39/0.58 (define @t87 () (@var "Vd121" $$unsorted)) % 0.39/0.58 (define @t88 () (exists (@list @t85) (= @t87 (tptp.vplus @t86 @t85)))) % 0.39/0.58 (define @t89 () (@var "Vd123" $$unsorted)) % 0.39/0.58 (define @t90 () (exists (@list @t89) (= @t86 (tptp.vplus @t87 @t89)))) % 0.39/0.58 (define @t91 () (= @t86 @t87)) % 0.39/0.58 (define @t92 () (@list @t86 @t87)) % 0.39/0.58 (define @t93 () (not @t88)) % 0.39/0.58 (define @t94 () (not @t91)) % 0.39/0.58 (define @t95 () (not @t90)) % 0.39/0.58 (define @t96 () (@var "Vd105" $$unsorted)) % 0.39/0.58 (define @t97 () (@var "Vd107" $$unsorted)) % 0.39/0.58 (define @t98 () (@var "Vd104" $$unsorted)) % 0.39/0.58 (define @t99 () (@var "Vd93" $$unsorted)) % 0.39/0.58 (define @t100 () (@var "Vd92" $$unsorted)) % 0.39/0.58 (define @t101 () (@var "Vd79" $$unsorted)) % 0.39/0.58 (define @t102 () (@var "Vd78" $$unsorted)) % 0.39/0.58 (define @t103 () (@var "Vd69" $$unsorted)) % 0.39/0.58 (define @t104 () (@var "Vd68" $$unsorted)) % 0.39/0.58 (define @t105 () (@var "Vd59" $$unsorted)) % 0.39/0.58 (define @t106 () (@var "Vd48" $$unsorted)) % 0.39/0.58 (define @t107 () (@var "Vd47" $$unsorted)) % 0.39/0.58 (define @t108 () (@var "Vd46" $$unsorted)) % 0.39/0.58 (define @t109 () (@var "Vd42" $$unsorted)) % 0.39/0.58 (define @t110 () (@var "Vd43" $$unsorted)) % 0.39/0.58 (define @t111 () (@var "Vd24" $$unsorted)) % 0.39/0.58 (define @t112 () (@var "Vd16" $$unsorted)) % 0.39/0.58 (define @t113 () (@var "Vd8" $$unsorted)) % 0.39/0.58 (define @t114 () (@var "Vd7" $$unsorted)) % 0.39/0.58 (define @t115 () (@var "Vd4" $$unsorted)) % 0.39/0.58 (define @t116 () (@var "Vd3" $$unsorted)) % 0.39/0.58 (define @t117 () (@var "Vd1" $$unsorted)) % 0.39/0.58 (assume @p1 (not @t6)) % 0.39/0.58 (assume @p2 (= @t7 @t5)) % 0.39/0.58 (assume @p3 (= (tptp.vmul tptp.vd436 (tptp.vplus tptp.vd437 (tptp.vsucc tptp.vd439))) @t7)) % 0.39/0.58 (assume @p4 @t8) % 0.39/0.58 (assume @p5 (= @t9 (tptp.vplus @t1 (tptp.vmul tptp.vd436 tptp.v1)))) % 0.39/0.58 (assume @p6 (= @t10 @t9)) % 0.39/0.58 (assume @p7 (= (tptp.vmul tptp.vd436 (tptp.vplus tptp.vd437 tptp.v1)) @t10)) % 0.39/0.58 (assume @p8 (forall (@list @t11 @t12) (= (tptp.vmul @t11 @t12) (tptp.vmul @t12 @t11)))) % 0.39/0.58 (assume @p9 (forall (@list @t14 @t13) (= (tptp.vmul (tptp.vsucc @t14) @t13) (tptp.vplus (tptp.vmul @t14 @t13) @t13)))) % 0.39/0.58 (assume @p10 (forall (@list @t15) (= (tptp.vmul tptp.v1 @t15) @t15))) % 0.39/0.58 (assume @p11 (forall (@list @t16 @t17) (and (= (tptp.vmul @t16 (tptp.vsucc @t17)) (tptp.vplus (tptp.vmul @t16 @t17) @t16)) (= (tptp.vmul @t16 tptp.v1) @t16)))) % 0.39/0.58 (assume @p12 (forall (@list @t19 @t18) (=> (tptp.less @t19 (tptp.vplus @t18 tptp.v1)) (tptp.leq @t19 @t18)))) % 0.39/0.58 (assume @p13 (forall (@list @t21 @t20) (=> (tptp.greater @t21 @t20) (tptp.geq @t21 (tptp.vplus @t20 tptp.v1))))) % 0.39/0.58 (assume @p14 (forall (@list @t22) (tptp.geq @t22 tptp.v1))) % 0.39/0.58 (assume @p15 (forall (@list @t26 @t24 @t25 @t23) (=> (and (tptp.geq @t25 @t23) (tptp.geq @t26 @t24)) (tptp.geq (tptp.vplus @t26 @t25) (tptp.vplus @t24 @t23))))) % 0.39/0.58 (assume @p16 (forall (@list @t30 @t28 @t29 @t27) (=> (or (and (tptp.greater @t29 @t27) (tptp.geq @t30 @t28)) (and (tptp.geq @t29 @t27) (tptp.greater @t30 @t28))) (tptp.greater (tptp.vplus @t30 @t29) (tptp.vplus @t28 @t27))))) % 0.39/0.58 (assume @p17 (forall (@list @t34 @t32 @t33 @t31) (=> (and (tptp.greater @t33 @t31) (tptp.greater @t34 @t32)) (tptp.greater (tptp.vplus @t34 @t33) (tptp.vplus @t32 @t31))))) % 0.39/0.58 (assume @p18 (forall @t40 (=> (tptp.less @t39 @t38) (tptp.less @t36 @t35)))) % 0.39/0.58 (assume @p19 (forall @t40 (=> (= @t39 @t38) (= @t36 @t35)))) % 0.39/0.58 (assume @p20 (forall @t40 (=> (tptp.greater @t39 @t38) (tptp.greater @t36 @t35)))) % 0.39/0.58 (assume @p21 (forall @t46 (=> (tptp.less @t44 @t42) (tptp.less @t45 @t43)))) % 0.39/0.58 (assume @p22 (forall @t46 (=> (= @t44 @t42) (= @t45 @t43)))) % 0.39/0.58 (assume @p23 (forall @t46 (=> (tptp.greater @t44 @t42) (tptp.greater @t45 @t43)))) % 0.39/0.58 (assume @p24 (forall (@list @t47 @t48) (tptp.greater (tptp.vplus @t47 @t48) @t47))) % 0.39/0.58 (assume @p25 (forall (@list @t50 @t51 @t49) (=> (and (tptp.leq @t51 @t49) (tptp.leq @t50 @t51)) (tptp.leq @t50 @t49)))) % 0.39/0.58 (assume @p26 (forall (@list @t53 @t54 @t52) (=> (or (and (tptp.less @t54 @t52) (tptp.leq @t53 @t54)) (and (tptp.leq @t54 @t52) (tptp.less @t53 @t54))) (tptp.less @t53 @t52)))) % 0.39/0.58 (assume @p27 (forall (@list @t56 @t57 @t55) (=> (and (tptp.less @t57 @t55) (tptp.less @t56 @t57)) (tptp.less @t56 @t55)))) % 0.39/0.58 (assume @p28 (forall (@list @t58 @t59) (=> (tptp.leq @t58 @t59) (tptp.geq @t59 @t58)))) % 0.39/0.58 (assume @p29 (forall (@list @t60 @t61) (=> (tptp.geq @t60 @t61) (tptp.leq @t61 @t60)))) % 0.39/0.58 (assume @p30 (forall (@list @t62 @t63) (= (tptp.leq @t63 @t62) (or (tptp.less @t63 @t62) (= @t63 @t62))))) % 0.39/0.58 (assume @p31 (forall (@list @t64 @t65) (= (tptp.geq @t65 @t64) (or (tptp.greater @t65 @t64) (= @t65 @t64))))) % 0.39/0.58 (assume @p32 (forall (@list @t66 @t67) (=> (tptp.less @t66 @t67) (tptp.greater @t67 @t66)))) % 0.39/0.58 (assume @p33 (forall (@list @t68 @t69) (=> (tptp.greater @t68 @t69) (tptp.less @t69 @t68)))) % 0.39/0.58 (assume @p34 (forall @t75 (or @t74 @t73 @t72))) % 0.39/0.58 (assume @p35 (forall @t75 (or @t77 @t76))) % 0.39/0.58 (assume @p36 (forall @t75 (or @t78 @t76))) % 0.39/0.58 (assume @p37 (forall @t75 (or @t77 @t78))) % 0.39/0.58 (assume @p38 (forall (@list @t81 @t80) (= (tptp.less @t80 @t81) (exists (@list @t79) (= @t81 (tptp.vplus @t80 @t79)))))) % 0.39/0.58 (assume @p39 (forall (@list @t83 @t84) (= (tptp.greater @t84 @t83) (exists (@list @t82) (= @t84 (tptp.vplus @t83 @t82)))))) % 0.39/0.58 (assume @p40 (forall @t92 (or @t91 @t90 @t88))) % 0.39/0.58 (assume @p41 (forall @t92 (or @t94 @t93))) % 0.39/0.58 (assume @p42 (forall @t92 (or @t95 @t93))) % 0.39/0.58 (assume @p43 (forall @t92 (or @t94 @t95))) % 0.39/0.58 (assume @p44 (forall (@list @t98 @t96) (=> (not (= @t98 @t96)) (forall (@list @t97) (not (= (tptp.vplus @t97 @t98) (tptp.vplus @t97 @t96))))))) % 0.39/0.58 (assume @p45 (forall (@list @t100 @t99) (not (= @t99 (tptp.vplus @t100 @t99))))) % 0.39/0.58 (assume @p46 (forall (@list @t102 @t101) (= (tptp.vplus @t101 @t102) (tptp.vplus @t102 @t101)))) % 0.39/0.58 (assume @p47 (forall (@list @t104 @t103) (= (tptp.vplus (tptp.vsucc @t104) @t103) (tptp.vsucc (tptp.vplus @t104 @t103))))) % 0.39/0.58 (assume @p48 (forall (@list @t105) (= (tptp.vplus tptp.v1 @t105) (tptp.vsucc @t105)))) % 0.39/0.58 (assume @p49 (forall (@list @t108 @t107 @t106) (= (tptp.vplus (tptp.vplus @t108 @t107) @t106) (tptp.vplus @t108 (tptp.vplus @t107 @t106))))) % 0.39/0.58 (assume @p50 (forall (@list @t109 @t110) (and (= (tptp.vplus @t109 (tptp.vsucc @t110)) (tptp.vsucc (tptp.vplus @t109 @t110))) (= (tptp.vplus @t109 tptp.v1) (tptp.vsucc @t109))))) % 0.39/0.58 (assume @p51 (forall (@list @t111) (=> (not (= @t111 tptp.v1)) (= @t111 (tptp.vsucc (tptp.vskolem2 @t111)))))) % 0.39/0.58 (assume @p52 (forall (@list @t112) (not (= (tptp.vsucc @t112) @t112)))) % 0.39/0.58 (assume @p53 (forall (@list @t114 @t113) (=> (not (= @t114 @t113)) (not (= (tptp.vsucc @t114) (tptp.vsucc @t113)))))) % 0.39/0.58 (assume @p54 (forall (@list @t116 @t115) (=> (= (tptp.vsucc @t116) (tptp.vsucc @t115)) (= @t116 @t115)))) % 0.39/0.58 (assume @p55 (forall (@list @t117) (not (= (tptp.vsucc @t117) tptp.v1)))) % 0.39/0.58 (assume @p56 true) % 0.39/0.58 (assume-push @p65 @t8) % 0.39/0.58 (step @p58 :rule refl :args (tptp.vd436)) % 0.39/0.58 (step @p59 :rule cong :premises (@p4 @p58) :args (@t5)) % 0.39/0.58 (step-pop @p66 :rule scope :premises (@p59)) % 0.39/0.58 (step @p60 :rule process_scope :premises (@p66) :args (@t6)) % 0.39/0.58 (step @p62 :rule implies_elim :premises (@p60)) % 0.39/0.58 (step @p63 :rule reordering :premises (@p62) :args ((or @t6 (not @t8)))) % 0.39/0.58 (step @p64 false :rule chain_m_resolution :premises (@p63 @p4 @p1) :args (false (@list false true) (@list @t8 @t6))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------