%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM847+1 : 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 : n025.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 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM847+1 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.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 12:29:46 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.v1 $$unsorted) % 0.37/0.58 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.vd437 $$unsorted) % 0.37/0.58 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.vmul (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.vd439 $$unsorted) % 0.37/0.58 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.vd436 $$unsorted) % 0.37/0.58 (define @t1 () (tptp.vmul tptp.vd436 tptp.vd439)) % 0.37/0.58 (define @t2 () (tptp.vmul tptp.vd436 tptp.vd437)) % 0.37/0.58 (define @t3 () (tptp.vplus @t2 @t1)) % 0.37/0.58 (define @t4 () (tptp.vplus @t3 tptp.vd436)) % 0.37/0.58 (define @t5 () (= @t4 (tptp.vplus @t2 (tptp.vplus @t1 tptp.vd436)))) % 0.37/0.58 (define @t6 () (tptp.vplus tptp.vd437 tptp.vd439)) % 0.37/0.58 (define @t7 () (tptp.vmul tptp.vd436 @t6)) % 0.37/0.58 (define @t8 () (tptp.vplus @t7 tptp.vd436)) % 0.37/0.58 (define @t9 () (tptp.vmul tptp.vd436 (tptp.vsucc @t6))) % 0.37/0.58 (define @t10 () (tptp.vplus @t2 tptp.vd436)) % 0.37/0.58 (define @t11 () (tptp.vmul tptp.vd436 (tptp.vsucc tptp.vd437))) % 0.37/0.58 (define @t12 () (@var "Vd418" $$unsorted)) % 0.37/0.58 (define @t13 () (@var "Vd419" $$unsorted)) % 0.37/0.58 (define @t14 () (@var "Vd409" $$unsorted)) % 0.37/0.58 (define @t15 () (@var "Vd408" $$unsorted)) % 0.37/0.58 (define @t16 () (@var "Vd400" $$unsorted)) % 0.37/0.58 (define @t17 () (@var "Vd396" $$unsorted)) % 0.37/0.58 (define @t18 () (@var "Vd397" $$unsorted)) % 0.37/0.58 (define @t19 () (@var "Vd387" $$unsorted)) % 0.37/0.58 (define @t20 () (@var "Vd386" $$unsorted)) % 0.37/0.58 (define @t21 () (@var "Vd376" $$unsorted)) % 0.37/0.58 (define @t22 () (@var "Vd375" $$unsorted)) % 0.37/0.58 (define @t23 () (@var "Vd369" $$unsorted)) % 0.37/0.58 (define @t24 () (@var "Vd366" $$unsorted)) % 0.37/0.58 (define @t25 () (@var "Vd363" $$unsorted)) % 0.37/0.58 (define @t26 () (@var "Vd365" $$unsorted)) % 0.37/0.58 (define @t27 () (@var "Vd362" $$unsorted)) % 0.37/0.58 (define @t28 () (@var "Vd356" $$unsorted)) % 0.37/0.58 (define @t29 () (@var "Vd354" $$unsorted)) % 0.37/0.58 (define @t30 () (@var "Vd355" $$unsorted)) % 0.37/0.58 (define @t31 () (@var "Vd353" $$unsorted)) % 0.37/0.58 (define @t32 () (@var "Vd341" $$unsorted)) % 0.37/0.58 (define @t33 () (@var "Vd338" $$unsorted)) % 0.37/0.58 (define @t34 () (@var "Vd340" $$unsorted)) % 0.37/0.58 (define @t35 () (@var "Vd337" $$unsorted)) % 0.37/0.58 (define @t36 () (@var "Vd329" $$unsorted)) % 0.37/0.58 (define @t37 () (@var "Vd328" $$unsorted)) % 0.37/0.58 (define @t38 () (@var "Vd330" $$unsorted)) % 0.37/0.58 (define @t39 () (tptp.vplus @t36 @t38)) % 0.37/0.58 (define @t40 () (tptp.vplus @t37 @t38)) % 0.37/0.58 (define @t41 () (@list @t37 @t36 @t38)) % 0.37/0.58 (define @t42 () (@var "Vd303" $$unsorted)) % 0.37/0.58 (define @t43 () (@var "Vd302" $$unsorted)) % 0.37/0.58 (define @t44 () (tptp.vplus @t43 @t42)) % 0.37/0.58 (define @t45 () (@var "Vd301" $$unsorted)) % 0.37/0.58 (define @t46 () (tptp.vplus @t45 @t42)) % 0.37/0.58 (define @t47 () (@list @t45 @t43 @t42)) % 0.37/0.58 (define @t48 () (@var "Vd295" $$unsorted)) % 0.37/0.58 (define @t49 () (@var "Vd296" $$unsorted)) % 0.37/0.58 (define @t50 () (@var "Vd292" $$unsorted)) % 0.37/0.58 (define @t51 () (@var "Vd289" $$unsorted)) % 0.37/0.58 (define @t52 () (@var "Vd290" $$unsorted)) % 0.37/0.58 (define @t53 () (@var "Vd283" $$unsorted)) % 0.37/0.58 (define @t54 () (@var "Vd281" $$unsorted)) % 0.37/0.58 (define @t55 () (@var "Vd282" $$unsorted)) % 0.37/0.58 (define @t56 () (@var "Vd265" $$unsorted)) % 0.37/0.58 (define @t57 () (@var "Vd262" $$unsorted)) % 0.37/0.58 (define @t58 () (@var "Vd263" $$unsorted)) % 0.37/0.58 (define @t59 () (@var "Vd258" $$unsorted)) % 0.37/0.58 (define @t60 () (@var "Vd259" $$unsorted)) % 0.37/0.58 (define @t61 () (@var "Vd254" $$unsorted)) % 0.37/0.58 (define @t62 () (@var "Vd255" $$unsorted)) % 0.37/0.58 (define @t63 () (@var "Vd249" $$unsorted)) % 0.37/0.58 (define @t64 () (@var "Vd250" $$unsorted)) % 0.37/0.58 (define @t65 () (@var "Vd244" $$unsorted)) % 0.37/0.58 (define @t66 () (@var "Vd245" $$unsorted)) % 0.37/0.58 (define @t67 () (@var "Vd226" $$unsorted)) % 0.37/0.58 (define @t68 () (@var "Vd227" $$unsorted)) % 0.37/0.58 (define @t69 () (@var "Vd208" $$unsorted)) % 0.37/0.58 (define @t70 () (@var "Vd209" $$unsorted)) % 0.37/0.58 (define @t71 () (@var "Vd204" $$unsorted)) % 0.37/0.58 (define @t72 () (@var "Vd203" $$unsorted)) % 0.37/0.58 (define @t73 () (tptp.less @t72 @t71)) % 0.37/0.58 (define @t74 () (tptp.greater @t72 @t71)) % 0.37/0.58 (define @t75 () (= @t72 @t71)) % 0.37/0.58 (define @t76 () (@list @t72 @t71)) % 0.37/0.58 (define @t77 () (not @t73)) % 0.37/0.58 (define @t78 () (not @t75)) % 0.37/0.58 (define @t79 () (not @t74)) % 0.37/0.58 (define @t80 () (@var "Vd201" $$unsorted)) % 0.37/0.58 (define @t81 () (@var "Vd199" $$unsorted)) % 0.37/0.58 (define @t82 () (@var "Vd198" $$unsorted)) % 0.37/0.58 (define @t83 () (@var "Vd196" $$unsorted)) % 0.37/0.58 (define @t84 () (@var "Vd193" $$unsorted)) % 0.37/0.58 (define @t85 () (@var "Vd194" $$unsorted)) % 0.37/0.58 (define @t86 () (@var "Vd125" $$unsorted)) % 0.37/0.58 (define @t87 () (@var "Vd120" $$unsorted)) % 0.37/0.58 (define @t88 () (@var "Vd121" $$unsorted)) % 0.37/0.58 (define @t89 () (exists (@list @t86) (= @t88 (tptp.vplus @t87 @t86)))) % 0.37/0.58 (define @t90 () (@var "Vd123" $$unsorted)) % 0.37/0.58 (define @t91 () (exists (@list @t90) (= @t87 (tptp.vplus @t88 @t90)))) % 0.37/0.58 (define @t92 () (= @t87 @t88)) % 0.37/0.58 (define @t93 () (@list @t87 @t88)) % 0.37/0.58 (define @t94 () (not @t89)) % 0.37/0.58 (define @t95 () (not @t92)) % 0.37/0.58 (define @t96 () (not @t91)) % 0.37/0.58 (define @t97 () (@var "Vd105" $$unsorted)) % 0.37/0.58 (define @t98 () (@var "Vd107" $$unsorted)) % 0.37/0.58 (define @t99 () (@var "Vd104" $$unsorted)) % 0.37/0.58 (define @t100 () (@var "Vd93" $$unsorted)) % 0.37/0.58 (define @t101 () (@var "Vd92" $$unsorted)) % 0.37/0.58 (define @t102 () (@var "Vd79" $$unsorted)) % 0.37/0.58 (define @t103 () (@var "Vd78" $$unsorted)) % 0.37/0.58 (define @t104 () (@var "Vd69" $$unsorted)) % 0.37/0.58 (define @t105 () (@var "Vd68" $$unsorted)) % 0.37/0.58 (define @t106 () (@var "Vd59" $$unsorted)) % 0.37/0.58 (define @t107 () (@var "Vd48" $$unsorted)) % 0.37/0.58 (define @t108 () (@var "Vd47" $$unsorted)) % 0.37/0.58 (define @t109 () (@var "Vd46" $$unsorted)) % 0.37/0.58 (define @t110 () (forall (@list @t109 @t108 @t107) (= (tptp.vplus (tptp.vplus @t109 @t108) @t107) (tptp.vplus @t109 (tptp.vplus @t108 @t107))))) % 0.37/0.58 (define @t111 () (@var "Vd42" $$unsorted)) % 0.37/0.58 (define @t112 () (@var "Vd43" $$unsorted)) % 0.37/0.58 (define @t113 () (@var "Vd24" $$unsorted)) % 0.37/0.58 (define @t114 () (@var "Vd16" $$unsorted)) % 0.37/0.58 (define @t115 () (@var "Vd8" $$unsorted)) % 0.37/0.58 (define @t116 () (@var "Vd7" $$unsorted)) % 0.37/0.58 (define @t117 () (@var "Vd4" $$unsorted)) % 0.37/0.58 (define @t118 () (@var "Vd3" $$unsorted)) % 0.37/0.58 (define @t119 () (@var "Vd1" $$unsorted)) % 0.37/0.58 (assume @p1 (not @t5)) % 0.37/0.58 (assume @p2 (= @t8 @t4)) % 0.37/0.58 (assume @p3 (= @t9 @t8)) % 0.37/0.58 (assume @p4 (= (tptp.vmul tptp.vd436 (tptp.vplus tptp.vd437 (tptp.vsucc tptp.vd439))) @t9)) % 0.37/0.58 (assume @p5 (= @t7 @t3)) % 0.37/0.58 (assume @p6 (= @t10 (tptp.vplus @t2 (tptp.vmul tptp.vd436 tptp.v1)))) % 0.37/0.58 (assume @p7 (= @t11 @t10)) % 0.37/0.58 (assume @p8 (= (tptp.vmul tptp.vd436 (tptp.vplus tptp.vd437 tptp.v1)) @t11)) % 0.37/0.58 (assume @p9 (forall (@list @t12 @t13) (= (tptp.vmul @t12 @t13) (tptp.vmul @t13 @t12)))) % 0.37/0.58 (assume @p10 (forall (@list @t15 @t14) (= (tptp.vmul (tptp.vsucc @t15) @t14) (tptp.vplus (tptp.vmul @t15 @t14) @t14)))) % 0.37/0.58 (assume @p11 (forall (@list @t16) (= (tptp.vmul tptp.v1 @t16) @t16))) % 0.37/0.58 (assume @p12 (forall (@list @t17 @t18) (and (= (tptp.vmul @t17 (tptp.vsucc @t18)) (tptp.vplus (tptp.vmul @t17 @t18) @t17)) (= (tptp.vmul @t17 tptp.v1) @t17)))) % 0.37/0.58 (assume @p13 (forall (@list @t20 @t19) (=> (tptp.less @t20 (tptp.vplus @t19 tptp.v1)) (tptp.leq @t20 @t19)))) % 0.37/0.58 (assume @p14 (forall (@list @t22 @t21) (=> (tptp.greater @t22 @t21) (tptp.geq @t22 (tptp.vplus @t21 tptp.v1))))) % 0.37/0.58 (assume @p15 (forall (@list @t23) (tptp.geq @t23 tptp.v1))) % 0.37/0.58 (assume @p16 (forall (@list @t27 @t25 @t26 @t24) (=> (and (tptp.geq @t26 @t24) (tptp.geq @t27 @t25)) (tptp.geq (tptp.vplus @t27 @t26) (tptp.vplus @t25 @t24))))) % 0.37/0.58 (assume @p17 (forall (@list @t31 @t29 @t30 @t28) (=> (or (and (tptp.greater @t30 @t28) (tptp.geq @t31 @t29)) (and (tptp.geq @t30 @t28) (tptp.greater @t31 @t29))) (tptp.greater (tptp.vplus @t31 @t30) (tptp.vplus @t29 @t28))))) % 0.37/0.58 (assume @p18 (forall (@list @t35 @t33 @t34 @t32) (=> (and (tptp.greater @t34 @t32) (tptp.greater @t35 @t33)) (tptp.greater (tptp.vplus @t35 @t34) (tptp.vplus @t33 @t32))))) % 0.37/0.58 (assume @p19 (forall @t41 (=> (tptp.less @t40 @t39) (tptp.less @t37 @t36)))) % 0.37/0.58 (assume @p20 (forall @t41 (=> (= @t40 @t39) (= @t37 @t36)))) % 0.37/0.58 (assume @p21 (forall @t41 (=> (tptp.greater @t40 @t39) (tptp.greater @t37 @t36)))) % 0.37/0.58 (assume @p22 (forall @t47 (=> (tptp.less @t45 @t43) (tptp.less @t46 @t44)))) % 0.37/0.58 (assume @p23 (forall @t47 (=> (= @t45 @t43) (= @t46 @t44)))) % 0.37/0.58 (assume @p24 (forall @t47 (=> (tptp.greater @t45 @t43) (tptp.greater @t46 @t44)))) % 0.37/0.58 (assume @p25 (forall (@list @t48 @t49) (tptp.greater (tptp.vplus @t48 @t49) @t48))) % 0.37/0.58 (assume @p26 (forall (@list @t51 @t52 @t50) (=> (and (tptp.leq @t52 @t50) (tptp.leq @t51 @t52)) (tptp.leq @t51 @t50)))) % 0.37/0.58 (assume @p27 (forall (@list @t54 @t55 @t53) (=> (or (and (tptp.less @t55 @t53) (tptp.leq @t54 @t55)) (and (tptp.leq @t55 @t53) (tptp.less @t54 @t55))) (tptp.less @t54 @t53)))) % 0.37/0.58 (assume @p28 (forall (@list @t57 @t58 @t56) (=> (and (tptp.less @t58 @t56) (tptp.less @t57 @t58)) (tptp.less @t57 @t56)))) % 0.37/0.58 (assume @p29 (forall (@list @t59 @t60) (=> (tptp.leq @t59 @t60) (tptp.geq @t60 @t59)))) % 0.37/0.58 (assume @p30 (forall (@list @t61 @t62) (=> (tptp.geq @t61 @t62) (tptp.leq @t62 @t61)))) % 0.37/0.58 (assume @p31 (forall (@list @t63 @t64) (= (tptp.leq @t64 @t63) (or (tptp.less @t64 @t63) (= @t64 @t63))))) % 0.37/0.58 (assume @p32 (forall (@list @t65 @t66) (= (tptp.geq @t66 @t65) (or (tptp.greater @t66 @t65) (= @t66 @t65))))) % 0.37/0.58 (assume @p33 (forall (@list @t67 @t68) (=> (tptp.less @t67 @t68) (tptp.greater @t68 @t67)))) % 0.37/0.58 (assume @p34 (forall (@list @t69 @t70) (=> (tptp.greater @t69 @t70) (tptp.less @t70 @t69)))) % 0.37/0.58 (assume @p35 (forall @t76 (or @t75 @t74 @t73))) % 0.37/0.58 (assume @p36 (forall @t76 (or @t78 @t77))) % 0.37/0.58 (assume @p37 (forall @t76 (or @t79 @t77))) % 0.37/0.58 (assume @p38 (forall @t76 (or @t78 @t79))) % 0.37/0.58 (assume @p39 (forall (@list @t82 @t81) (= (tptp.less @t81 @t82) (exists (@list @t80) (= @t82 (tptp.vplus @t81 @t80)))))) % 0.37/0.58 (assume @p40 (forall (@list @t84 @t85) (= (tptp.greater @t85 @t84) (exists (@list @t83) (= @t85 (tptp.vplus @t84 @t83)))))) % 0.37/0.58 (assume @p41 (forall @t93 (or @t92 @t91 @t89))) % 0.37/0.58 (assume @p42 (forall @t93 (or @t95 @t94))) % 0.37/0.58 (assume @p43 (forall @t93 (or @t96 @t94))) % 0.37/0.58 (assume @p44 (forall @t93 (or @t95 @t96))) % 0.37/0.58 (assume @p45 (forall (@list @t99 @t97) (=> (not (= @t99 @t97)) (forall (@list @t98) (not (= (tptp.vplus @t98 @t99) (tptp.vplus @t98 @t97))))))) % 0.37/0.58 (assume @p46 (forall (@list @t101 @t100) (not (= @t100 (tptp.vplus @t101 @t100))))) % 0.37/0.58 (assume @p47 (forall (@list @t103 @t102) (= (tptp.vplus @t102 @t103) (tptp.vplus @t103 @t102)))) % 0.37/0.58 (assume @p48 (forall (@list @t105 @t104) (= (tptp.vplus (tptp.vsucc @t105) @t104) (tptp.vsucc (tptp.vplus @t105 @t104))))) % 0.37/0.58 (assume @p49 (forall (@list @t106) (= (tptp.vplus tptp.v1 @t106) (tptp.vsucc @t106)))) % 0.37/0.59 (assume @p50 @t110) % 0.37/0.59 (assume @p51 (forall (@list @t111 @t112) (and (= (tptp.vplus @t111 (tptp.vsucc @t112)) (tptp.vsucc (tptp.vplus @t111 @t112))) (= (tptp.vplus @t111 tptp.v1) (tptp.vsucc @t111))))) % 0.37/0.59 (assume @p52 (forall (@list @t113) (=> (not (= @t113 tptp.v1)) (= @t113 (tptp.vsucc (tptp.vskolem2 @t113)))))) % 0.37/0.59 (assume @p53 (forall (@list @t114) (not (= (tptp.vsucc @t114) @t114)))) % 0.37/0.59 (assume @p54 (forall (@list @t116 @t115) (=> (not (= @t116 @t115)) (not (= (tptp.vsucc @t116) (tptp.vsucc @t115)))))) % 0.37/0.59 (assume @p55 (forall (@list @t118 @t117) (=> (= (tptp.vsucc @t118) (tptp.vsucc @t117)) (= @t118 @t117)))) % 0.37/0.59 (assume @p56 (forall (@list @t119) (not (= (tptp.vsucc @t119) tptp.v1)))) % 0.37/0.59 (assume @p57 true) % 0.37/0.59 (assume-push @p65 @t110) % 0.37/0.59 (step @p59 :rule instantiate :premises (@p50) :args ((@list @t2 @t1 tptp.vd436))) % 0.37/0.59 (step-pop @p66 :rule scope :premises (@p59)) % 0.37/0.59 (step @p60 :rule process_scope :premises (@p66) :args (@t5)) % 0.37/0.59 (step @p62 :rule implies_elim :premises (@p60)) % 0.37/0.59 (step @p63 :rule reordering :premises (@p62) :args ((or @t5 (not @t110)))) % 0.37/0.59 (step @p64 false :rule chain_m_resolution :premises (@p63 @p50 @p1) :args (false (@list false true) (@list @t110 @t5))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------