%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM857+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 : n002.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 08:40:51 AM UTC 2026 % Result : Theorem 0.40s 0.58s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM857+2 : 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 % 0.15/0.32 % Computer : n002.cluster.edu % 0.15/0.32 % Model : x86_64 x86_64 % 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.32 % Memory : 8042.1875MB % 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.32 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 12:30:18 EDT 2026 % 0.15/0.33 % CPUTime : % 0.22/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.58 % SZS status Theorem % 0.40/0.58 % SZS output start Proof % 0.40/0.58 ( % 0.40/0.58 (declare-sort $$unsorted 0) % 0.40/0.58 (declare-const tptp.v1 $$unsorted) % 0.40/0.58 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.40/0.58 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.40/0.58 (declare-const tptp.vd526 $$unsorted) % 0.40/0.58 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.40/0.58 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.40/0.58 (declare-const tptp.vd529 $$unsorted) % 0.40/0.58 (declare-const tptp.vmul (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.vd527 $$unsorted) % 0.40/0.58 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.vd530 $$unsorted) % 0.40/0.58 (define @t1 () (tptp.vmul tptp.vd527 tptp.vd530)) % 0.40/0.58 (define @t2 () (tptp.vmul tptp.vd526 tptp.vd529)) % 0.40/0.58 (define @t3 () (tptp.geq @t2 @t1)) % 0.40/0.58 (define @t4 () (tptp.geq tptp.vd529 tptp.vd530)) % 0.40/0.58 (define @t5 () (tptp.geq tptp.vd526 tptp.vd527)) % 0.40/0.58 (define @t6 () (@var "Vd520" $$unsorted)) % 0.40/0.58 (define @t7 () (@var "Vd518" $$unsorted)) % 0.40/0.58 (define @t8 () (@var "Vd519" $$unsorted)) % 0.40/0.58 (define @t9 () (@var "Vd517" $$unsorted)) % 0.40/0.58 (define @t10 () (tptp.greater (tptp.vmul @t9 @t8) (tptp.vmul @t7 @t6))) % 0.40/0.58 (define @t11 () (tptp.greater @t9 @t7)) % 0.40/0.58 (define @t12 () (tptp.geq @t8 @t6)) % 0.40/0.58 (define @t13 () (and @t12 @t11)) % 0.40/0.58 (define @t14 () (tptp.geq @t9 @t7)) % 0.40/0.58 (define @t15 () (tptp.greater @t8 @t6)) % 0.40/0.58 (define @t16 () (and @t15 @t14)) % 0.40/0.58 (define @t17 () (or @t16 @t13)) % 0.40/0.58 (define @t18 () (forall (@list @t9 @t7 @t8 @t6) (=> @t17 @t10))) % 0.40/0.58 (define @t19 () (@var "Vd505" $$unsorted)) % 0.40/0.58 (define @t20 () (@var "Vd502" $$unsorted)) % 0.40/0.58 (define @t21 () (@var "Vd504" $$unsorted)) % 0.40/0.58 (define @t22 () (@var "Vd501" $$unsorted)) % 0.40/0.58 (define @t23 () (@var "Vd498" $$unsorted)) % 0.40/0.58 (define @t24 () (@var "Vd496" $$unsorted)) % 0.40/0.58 (define @t25 () (@var "Vd497" $$unsorted)) % 0.40/0.58 (define @t26 () (@var "Vd493" $$unsorted)) % 0.40/0.58 (define @t27 () (@var "Vd491" $$unsorted)) % 0.40/0.58 (define @t28 () (@var "Vd492" $$unsorted)) % 0.40/0.58 (define @t29 () (@var "Vd488" $$unsorted)) % 0.40/0.58 (define @t30 () (@var "Vd486" $$unsorted)) % 0.40/0.58 (define @t31 () (@var "Vd487" $$unsorted)) % 0.40/0.58 (define @t32 () (@var "Vd456" $$unsorted)) % 0.40/0.58 (define @t33 () (@var "Vd466" $$unsorted)) % 0.40/0.58 (define @t34 () (@var "Vd465" $$unsorted)) % 0.40/0.58 (define @t35 () (@var "Vd462" $$unsorted)) % 0.40/0.58 (define @t36 () (@var "Vd461" $$unsorted)) % 0.40/0.58 (define @t37 () (@var "Vd458" $$unsorted)) % 0.40/0.58 (define @t38 () (@var "Vd457" $$unsorted)) % 0.40/0.58 (define @t39 () (@var "Vd446" $$unsorted)) % 0.40/0.58 (define @t40 () (@var "Vd445" $$unsorted)) % 0.40/0.58 (define @t41 () (@var "Vd444" $$unsorted)) % 0.40/0.58 (define @t42 () (@var "Vd434" $$unsorted)) % 0.40/0.58 (define @t43 () (@var "Vd432" $$unsorted)) % 0.40/0.58 (define @t44 () (@var "Vd433" $$unsorted)) % 0.40/0.58 (define @t45 () (@var "Vd418" $$unsorted)) % 0.40/0.58 (define @t46 () (@var "Vd419" $$unsorted)) % 0.40/0.58 (define @t47 () (@var "Vd409" $$unsorted)) % 0.40/0.58 (define @t48 () (@var "Vd408" $$unsorted)) % 0.40/0.58 (define @t49 () (@var "Vd400" $$unsorted)) % 0.40/0.58 (define @t50 () (@var "Vd396" $$unsorted)) % 0.40/0.58 (define @t51 () (@var "Vd397" $$unsorted)) % 0.40/0.58 (define @t52 () (@var "Vd387" $$unsorted)) % 0.40/0.58 (define @t53 () (@var "Vd386" $$unsorted)) % 0.40/0.58 (define @t54 () (@var "Vd376" $$unsorted)) % 0.40/0.58 (define @t55 () (@var "Vd375" $$unsorted)) % 0.40/0.58 (define @t56 () (@var "Vd369" $$unsorted)) % 0.40/0.58 (define @t57 () (@var "Vd366" $$unsorted)) % 0.40/0.58 (define @t58 () (@var "Vd363" $$unsorted)) % 0.40/0.58 (define @t59 () (@var "Vd365" $$unsorted)) % 0.40/0.58 (define @t60 () (@var "Vd362" $$unsorted)) % 0.40/0.58 (define @t61 () (@var "Vd356" $$unsorted)) % 0.40/0.58 (define @t62 () (@var "Vd354" $$unsorted)) % 0.40/0.58 (define @t63 () (@var "Vd355" $$unsorted)) % 0.40/0.58 (define @t64 () (@var "Vd353" $$unsorted)) % 0.40/0.58 (define @t65 () (@var "Vd341" $$unsorted)) % 0.40/0.58 (define @t66 () (@var "Vd338" $$unsorted)) % 0.40/0.58 (define @t67 () (@var "Vd340" $$unsorted)) % 0.40/0.58 (define @t68 () (@var "Vd337" $$unsorted)) % 0.40/0.58 (define @t69 () (@var "Vd329" $$unsorted)) % 0.40/0.58 (define @t70 () (@var "Vd328" $$unsorted)) % 0.40/0.58 (define @t71 () (@var "Vd330" $$unsorted)) % 0.40/0.58 (define @t72 () (tptp.vplus @t69 @t71)) % 0.40/0.58 (define @t73 () (tptp.vplus @t70 @t71)) % 0.40/0.58 (define @t74 () (@list @t70 @t69 @t71)) % 0.40/0.58 (define @t75 () (@var "Vd303" $$unsorted)) % 0.40/0.58 (define @t76 () (@var "Vd302" $$unsorted)) % 0.40/0.58 (define @t77 () (tptp.vplus @t76 @t75)) % 0.40/0.58 (define @t78 () (@var "Vd301" $$unsorted)) % 0.40/0.58 (define @t79 () (tptp.vplus @t78 @t75)) % 0.40/0.58 (define @t80 () (@list @t78 @t76 @t75)) % 0.40/0.58 (define @t81 () (@var "Vd295" $$unsorted)) % 0.40/0.58 (define @t82 () (@var "Vd296" $$unsorted)) % 0.40/0.58 (define @t83 () (@var "Vd292" $$unsorted)) % 0.40/0.58 (define @t84 () (@var "Vd289" $$unsorted)) % 0.40/0.58 (define @t85 () (@var "Vd290" $$unsorted)) % 0.40/0.58 (define @t86 () (@var "Vd283" $$unsorted)) % 0.40/0.58 (define @t87 () (@var "Vd281" $$unsorted)) % 0.40/0.58 (define @t88 () (@var "Vd282" $$unsorted)) % 0.40/0.58 (define @t89 () (@var "Vd265" $$unsorted)) % 0.40/0.58 (define @t90 () (@var "Vd262" $$unsorted)) % 0.40/0.58 (define @t91 () (@var "Vd263" $$unsorted)) % 0.40/0.58 (define @t92 () (@var "Vd258" $$unsorted)) % 0.40/0.58 (define @t93 () (@var "Vd259" $$unsorted)) % 0.40/0.58 (define @t94 () (@var "Vd254" $$unsorted)) % 0.40/0.58 (define @t95 () (@var "Vd255" $$unsorted)) % 0.40/0.58 (define @t96 () (@var "Vd249" $$unsorted)) % 0.40/0.58 (define @t97 () (@var "Vd250" $$unsorted)) % 0.40/0.58 (define @t98 () (@var "Vd244" $$unsorted)) % 0.40/0.58 (define @t99 () (@var "Vd245" $$unsorted)) % 0.40/0.58 (define @t100 () (tptp.greater @t99 @t98)) % 0.40/0.58 (define @t101 () (or @t100 (= @t99 @t98))) % 0.40/0.58 (define @t102 () (tptp.geq @t99 @t98)) % 0.40/0.58 (define @t103 () (= @t102 @t101)) % 0.40/0.58 (define @t104 () (@list @t98 @t99)) % 0.40/0.58 (define @t105 () (forall @t104 @t103)) % 0.40/0.58 (define @t106 () (@var "Vd226" $$unsorted)) % 0.40/0.58 (define @t107 () (@var "Vd227" $$unsorted)) % 0.40/0.58 (define @t108 () (@var "Vd208" $$unsorted)) % 0.40/0.58 (define @t109 () (@var "Vd209" $$unsorted)) % 0.40/0.58 (define @t110 () (@var "Vd204" $$unsorted)) % 0.40/0.58 (define @t111 () (@var "Vd203" $$unsorted)) % 0.40/0.58 (define @t112 () (tptp.less @t111 @t110)) % 0.40/0.58 (define @t113 () (tptp.greater @t111 @t110)) % 0.40/0.58 (define @t114 () (= @t111 @t110)) % 0.40/0.58 (define @t115 () (@list @t111 @t110)) % 0.40/0.58 (define @t116 () (not @t112)) % 0.40/0.58 (define @t117 () (not @t114)) % 0.40/0.58 (define @t118 () (not @t113)) % 0.40/0.58 (define @t119 () (@var "Vd201" $$unsorted)) % 0.40/0.58 (define @t120 () (@var "Vd199" $$unsorted)) % 0.40/0.58 (define @t121 () (@var "Vd198" $$unsorted)) % 0.40/0.58 (define @t122 () (@var "Vd196" $$unsorted)) % 0.40/0.58 (define @t123 () (@var "Vd193" $$unsorted)) % 0.40/0.58 (define @t124 () (@var "Vd194" $$unsorted)) % 0.40/0.58 (define @t125 () (@var "Vd125" $$unsorted)) % 0.40/0.58 (define @t126 () (@var "Vd120" $$unsorted)) % 0.40/0.58 (define @t127 () (@var "Vd121" $$unsorted)) % 0.40/0.58 (define @t128 () (exists (@list @t125) (= @t127 (tptp.vplus @t126 @t125)))) % 0.40/0.58 (define @t129 () (@var "Vd123" $$unsorted)) % 0.40/0.58 (define @t130 () (exists (@list @t129) (= @t126 (tptp.vplus @t127 @t129)))) % 0.40/0.58 (define @t131 () (= @t126 @t127)) % 0.40/0.58 (define @t132 () (@list @t126 @t127)) % 0.40/0.58 (define @t133 () (not @t128)) % 0.40/0.58 (define @t134 () (not @t131)) % 0.40/0.58 (define @t135 () (not @t130)) % 0.40/0.58 (define @t136 () (@var "Vd105" $$unsorted)) % 0.40/0.58 (define @t137 () (@var "Vd107" $$unsorted)) % 0.40/0.58 (define @t138 () (@var "Vd104" $$unsorted)) % 0.40/0.58 (define @t139 () (@var "Vd93" $$unsorted)) % 0.40/0.58 (define @t140 () (@var "Vd92" $$unsorted)) % 0.40/0.58 (define @t141 () (@var "Vd79" $$unsorted)) % 0.40/0.58 (define @t142 () (@var "Vd78" $$unsorted)) % 0.40/0.58 (define @t143 () (@var "Vd69" $$unsorted)) % 0.40/0.58 (define @t144 () (@var "Vd68" $$unsorted)) % 0.40/0.58 (define @t145 () (@var "Vd59" $$unsorted)) % 0.40/0.58 (define @t146 () (@var "Vd48" $$unsorted)) % 0.40/0.58 (define @t147 () (@var "Vd47" $$unsorted)) % 0.40/0.58 (define @t148 () (@var "Vd46" $$unsorted)) % 0.40/0.58 (define @t149 () (@var "Vd42" $$unsorted)) % 0.40/0.58 (define @t150 () (@var "Vd43" $$unsorted)) % 0.40/0.58 (define @t151 () (@var "Vd24" $$unsorted)) % 0.40/0.58 (define @t152 () (@var "Vd16" $$unsorted)) % 0.40/0.58 (define @t153 () (@var "Vd8" $$unsorted)) % 0.40/0.58 (define @t154 () (@var "Vd7" $$unsorted)) % 0.40/0.58 (define @t155 () (@var "Vd4" $$unsorted)) % 0.40/0.58 (define @t156 () (@var "Vd3" $$unsorted)) % 0.40/0.58 (define @t157 () (@var "Vd1" $$unsorted)) % 0.40/0.58 (define @t158 () (tptp.greater @t2 @t1)) % 0.40/0.58 (define @t159 () (or @t158 (= @t1 @t2))) % 0.40/0.58 (define @t160 () (= @t3 @t159)) % 0.40/0.58 (define @t161 () (forall @t104 (= @t102 (or @t100 (= @t98 @t99))))) % 0.40/0.58 (define @t162 () (= @t2 @t1)) % 0.40/0.58 (define @t163 () (or @t158 @t162)) % 0.40/0.58 (define @t164 () (= @t3 @t163)) % 0.40/0.58 (define @t165 () (@list false)) % 0.40/0.58 (define @t166 () (@list @t161)) % 0.40/0.58 (define @t167 () (not @t163)) % 0.40/0.58 (define @t168 () (@list true false)) % 0.40/0.58 (define @t169 () (@list true)) % 0.40/0.58 (define @t170 () (@list @t163)) % 0.40/0.58 (define @t171 () (tptp.greater tptp.vd529 tptp.vd530)) % 0.40/0.58 (define @t172 () (or @t171 (= tptp.vd530 tptp.vd529))) % 0.40/0.58 (define @t173 () (= @t4 @t172)) % 0.40/0.58 (define @t174 () (= tptp.vd529 tptp.vd530)) % 0.40/0.58 (define @t175 () (or @t171 @t174)) % 0.40/0.58 (define @t176 () (= @t4 @t175)) % 0.40/0.58 (define @t177 () (not @t4)) % 0.40/0.58 (define @t178 () (@list false false)) % 0.40/0.58 (define @t179 () (tptp.greater tptp.vd526 tptp.vd527)) % 0.40/0.58 (define @t180 () (not @t179)) % 0.40/0.58 (define @t181 () (or @t177 @t180)) % 0.40/0.58 (define @t182 () (not @t5)) % 0.40/0.58 (define @t183 () (not @t171)) % 0.40/0.58 (define @t184 () (or @t183 @t182)) % 0.40/0.58 (define @t185 () (and @t184 @t181)) % 0.40/0.58 (define @t186 () (or @t185 @t158)) % 0.40/0.58 (define @t187 () (not @t185)) % 0.40/0.58 (define @t188 () (@list @t185)) % 0.40/0.58 (define @t189 () (or @t179 (= tptp.vd527 tptp.vd526))) % 0.40/0.58 (define @t190 () (= @t5 @t189)) % 0.40/0.58 (define @t191 () (= tptp.vd526 tptp.vd527)) % 0.40/0.58 (define @t192 () (or @t179 @t191)) % 0.40/0.58 (define @t193 () (= @t5 @t192)) % 0.40/0.58 (define @t194 () (tptp.vmul tptp.vd529 tptp.vd526)) % 0.40/0.58 (define @t195 () (= @t2 @t194)) % 0.40/0.58 (define @t196 () (= @t1 (tptp.vmul tptp.vd530 tptp.vd527))) % 0.40/0.58 (define @t197 () (and @t195 @t196 @t191 @t174)) % 0.40/0.58 (assume @p1 (not @t3)) % 0.40/0.58 (assume @p2 @t4) % 0.40/0.58 (assume @p3 @t5) % 0.40/0.58 (assume @p4 @t18) % 0.40/0.58 (assume @p5 (forall (@list @t22 @t20 @t21 @t19) (=> (and (tptp.greater @t21 @t19) (tptp.greater @t22 @t20)) (tptp.greater (tptp.vmul @t22 @t21) (tptp.vmul @t20 @t19))))) % 0.40/0.58 (assume @p6 (forall (@list @t24 @t25 @t23) (=> (tptp.less (tptp.vmul @t24 @t25) (tptp.vmul @t23 @t25)) (tptp.less @t24 @t23)))) % 0.40/0.58 (assume @p7 (forall (@list @t27 @t28 @t26) (=> (= (tptp.vmul @t27 @t28) (tptp.vmul @t26 @t28)) (= @t27 @t26)))) % 0.40/0.58 (assume @p8 (forall (@list @t30 @t31 @t29) (=> (tptp.greater (tptp.vmul @t30 @t31) (tptp.vmul @t29 @t31)) (tptp.greater @t30 @t29)))) % 0.40/0.58 (assume @p9 (forall (@list @t32 @t34 @t33) (=> (tptp.less @t34 @t33) (tptp.less (tptp.vmul @t34 @t32) (tptp.vmul @t33 @t32))))) % 0.40/0.58 (assume @p10 (forall (@list @t32 @t36 @t35) (=> (= @t36 @t35) (= (tptp.vmul @t36 @t32) (tptp.vmul @t35 @t32))))) % 0.40/0.58 (assume @p11 (forall (@list @t32 @t38 @t37) (=> (tptp.greater @t38 @t37) (tptp.greater (tptp.vmul @t38 @t32) (tptp.vmul @t37 @t32))))) % 0.40/0.58 (assume @p12 (forall (@list @t41 @t40 @t39) (= (tptp.vmul (tptp.vmul @t41 @t40) @t39) (tptp.vmul @t41 (tptp.vmul @t40 @t39))))) % 0.40/0.58 (assume @p13 (forall (@list @t43 @t44 @t42) (= (tptp.vmul @t43 (tptp.vplus @t44 @t42)) (tptp.vplus (tptp.vmul @t43 @t44) (tptp.vmul @t43 @t42))))) % 0.40/0.58 (assume @p14 (forall (@list @t45 @t46) (= (tptp.vmul @t45 @t46) (tptp.vmul @t46 @t45)))) % 0.40/0.58 (assume @p15 (forall (@list @t48 @t47) (= (tptp.vmul (tptp.vsucc @t48) @t47) (tptp.vplus (tptp.vmul @t48 @t47) @t47)))) % 0.40/0.58 (assume @p16 (forall (@list @t49) (= (tptp.vmul tptp.v1 @t49) @t49))) % 0.40/0.58 (assume @p17 (forall (@list @t50 @t51) (and (= (tptp.vmul @t50 (tptp.vsucc @t51)) (tptp.vplus (tptp.vmul @t50 @t51) @t50)) (= (tptp.vmul @t50 tptp.v1) @t50)))) % 0.40/0.58 (assume @p18 (forall (@list @t53 @t52) (=> (tptp.less @t53 (tptp.vplus @t52 tptp.v1)) (tptp.leq @t53 @t52)))) % 0.40/0.58 (assume @p19 (forall (@list @t55 @t54) (=> (tptp.greater @t55 @t54) (tptp.geq @t55 (tptp.vplus @t54 tptp.v1))))) % 0.40/0.58 (assume @p20 (forall (@list @t56) (tptp.geq @t56 tptp.v1))) % 0.40/0.58 (assume @p21 (forall (@list @t60 @t58 @t59 @t57) (=> (and (tptp.geq @t59 @t57) (tptp.geq @t60 @t58)) (tptp.geq (tptp.vplus @t60 @t59) (tptp.vplus @t58 @t57))))) % 0.40/0.58 (assume @p22 (forall (@list @t64 @t62 @t63 @t61) (=> (or (and (tptp.greater @t63 @t61) (tptp.geq @t64 @t62)) (and (tptp.geq @t63 @t61) (tptp.greater @t64 @t62))) (tptp.greater (tptp.vplus @t64 @t63) (tptp.vplus @t62 @t61))))) % 0.40/0.58 (assume @p23 (forall (@list @t68 @t66 @t67 @t65) (=> (and (tptp.greater @t67 @t65) (tptp.greater @t68 @t66)) (tptp.greater (tptp.vplus @t68 @t67) (tptp.vplus @t66 @t65))))) % 0.40/0.58 (assume @p24 (forall @t74 (=> (tptp.less @t73 @t72) (tptp.less @t70 @t69)))) % 0.40/0.58 (assume @p25 (forall @t74 (=> (= @t73 @t72) (= @t70 @t69)))) % 0.40/0.58 (assume @p26 (forall @t74 (=> (tptp.greater @t73 @t72) (tptp.greater @t70 @t69)))) % 0.40/0.58 (assume @p27 (forall @t80 (=> (tptp.less @t78 @t76) (tptp.less @t79 @t77)))) % 0.40/0.58 (assume @p28 (forall @t80 (=> (= @t78 @t76) (= @t79 @t77)))) % 0.40/0.58 (assume @p29 (forall @t80 (=> (tptp.greater @t78 @t76) (tptp.greater @t79 @t77)))) % 0.40/0.58 (assume @p30 (forall (@list @t81 @t82) (tptp.greater (tptp.vplus @t81 @t82) @t81))) % 0.40/0.58 (assume @p31 (forall (@list @t84 @t85 @t83) (=> (and (tptp.leq @t85 @t83) (tptp.leq @t84 @t85)) (tptp.leq @t84 @t83)))) % 0.40/0.58 (assume @p32 (forall (@list @t87 @t88 @t86) (=> (or (and (tptp.less @t88 @t86) (tptp.leq @t87 @t88)) (and (tptp.leq @t88 @t86) (tptp.less @t87 @t88))) (tptp.less @t87 @t86)))) % 0.40/0.58 (assume @p33 (forall (@list @t90 @t91 @t89) (=> (and (tptp.less @t91 @t89) (tptp.less @t90 @t91)) (tptp.less @t90 @t89)))) % 0.40/0.58 (assume @p34 (forall (@list @t92 @t93) (=> (tptp.leq @t92 @t93) (tptp.geq @t93 @t92)))) % 0.40/0.58 (assume @p35 (forall (@list @t94 @t95) (=> (tptp.geq @t94 @t95) (tptp.leq @t95 @t94)))) % 0.40/0.58 (assume @p36 (forall (@list @t96 @t97) (= (tptp.leq @t97 @t96) (or (tptp.less @t97 @t96) (= @t97 @t96))))) % 0.40/0.58 (assume @p37 @t105) % 0.40/0.58 (assume @p38 (forall (@list @t106 @t107) (=> (tptp.less @t106 @t107) (tptp.greater @t107 @t106)))) % 0.40/0.58 (assume @p39 (forall (@list @t108 @t109) (=> (tptp.greater @t108 @t109) (tptp.less @t109 @t108)))) % 0.40/0.58 (assume @p40 (forall @t115 (or @t114 @t113 @t112))) % 0.40/0.58 (assume @p41 (forall @t115 (or @t117 @t116))) % 0.40/0.58 (assume @p42 (forall @t115 (or @t118 @t116))) % 0.40/0.58 (assume @p43 (forall @t115 (or @t117 @t118))) % 0.40/0.58 (assume @p44 (forall (@list @t121 @t120) (= (tptp.less @t120 @t121) (exists (@list @t119) (= @t121 (tptp.vplus @t120 @t119)))))) % 0.40/0.58 (assume @p45 (forall (@list @t123 @t124) (= (tptp.greater @t124 @t123) (exists (@list @t122) (= @t124 (tptp.vplus @t123 @t122)))))) % 0.40/0.58 (assume @p46 (forall @t132 (or @t131 @t130 @t128))) % 0.40/0.58 (assume @p47 (forall @t132 (or @t134 @t133))) % 0.40/0.58 (assume @p48 (forall @t132 (or @t135 @t133))) % 0.40/0.58 (assume @p49 (forall @t132 (or @t134 @t135))) % 0.40/0.58 (assume @p50 (forall (@list @t138 @t136) (=> (not (= @t138 @t136)) (forall (@list @t137) (not (= (tptp.vplus @t137 @t138) (tptp.vplus @t137 @t136))))))) % 0.40/0.58 (assume @p51 (forall (@list @t140 @t139) (not (= @t139 (tptp.vplus @t140 @t139))))) % 0.40/0.58 (assume @p52 (forall (@list @t142 @t141) (= (tptp.vplus @t141 @t142) (tptp.vplus @t142 @t141)))) % 0.40/0.58 (assume @p53 (forall (@list @t144 @t143) (= (tptp.vplus (tptp.vsucc @t144) @t143) (tptp.vsucc (tptp.vplus @t144 @t143))))) % 0.40/0.58 (assume @p54 (forall (@list @t145) (= (tptp.vplus tptp.v1 @t145) (tptp.vsucc @t145)))) % 0.40/0.58 (assume @p55 (forall (@list @t148 @t147 @t146) (= (tptp.vplus (tptp.vplus @t148 @t147) @t146) (tptp.vplus @t148 (tptp.vplus @t147 @t146))))) % 0.40/0.58 (assume @p56 (forall (@list @t149 @t150) (and (= (tptp.vplus @t149 (tptp.vsucc @t150)) (tptp.vsucc (tptp.vplus @t149 @t150))) (= (tptp.vplus @t149 tptp.v1) (tptp.vsucc @t149))))) % 0.40/0.58 (assume @p57 (forall (@list @t151) (=> (not (= @t151 tptp.v1)) (= @t151 (tptp.vsucc (tptp.vskolem2 @t151)))))) % 0.40/0.58 (assume @p58 (forall (@list @t152) (not (= (tptp.vsucc @t152) @t152)))) % 0.40/0.58 (assume @p59 (forall (@list @t154 @t153) (=> (not (= @t154 @t153)) (not (= (tptp.vsucc @t154) (tptp.vsucc @t153)))))) % 0.40/0.58 (assume @p60 (forall (@list @t156 @t155) (=> (= (tptp.vsucc @t156) (tptp.vsucc @t155)) (= @t156 @t155)))) % 0.40/0.58 (assume @p61 (forall (@list @t157) (not (= (tptp.vsucc @t157) tptp.v1)))) % 0.40/0.58 (assume @p62 true) % 0.40/0.58 (step @p63 :rule instantiate :premises (@p14) :args ((@list tptp.vd526 tptp.vd529))) % 0.40/0.58 (step @p64 :rule instantiate :premises (@p14) :args ((@list tptp.vd527 tptp.vd530))) % 0.40/0.58 (step @p65 :rule eq-symm :args (@t99 @t98)) % 0.40/0.58 (step @p66 :rule refl :args (@t100)) % 0.40/0.58 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t101)) % 0.40/0.58 (step @p68 :rule refl :args (@t102)) % 0.40/0.58 (step @p69 :rule cong :premises (@p68 @p67) :args (@t103)) % 0.40/0.58 (step @p70 :rule cong :premises (@p69) :args (@t105)) % 0.40/0.58 (step @p71 :rule eq_resolve :premises (@p37 @p70)) % 0.40/0.58 (step @p72 :rule eq-symm :args (@t1 @t2)) % 0.40/0.58 (step @p73 :rule refl :args (@t158)) % 0.40/0.58 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t159)) % 0.40/0.58 (step @p75 :rule refl :args (@t3)) % 0.40/0.58 (step @p76 :rule cong :premises (@p75 @p74) :args (@t160)) % 0.40/0.58 (step @p77 :rule refl :args (@t161)) % 0.40/0.58 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t161 @t160))) % 0.40/0.58 (assume-push @p178 @t161) % 0.40/0.58 (step @p80 :rule instantiate :premises (@p71) :args ((@list @t1 @t2))) % 0.40/0.58 (step-pop @p179 :rule scope :premises (@p80)) % 0.40/0.58 (step @p81 :rule process_scope :premises (@p179) :args (@t160)) % 0.40/0.58 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.40/0.58 (step @p84 :rule implies_elim :premises (@p83)) % 0.40/0.58 (step @p85 :rule chain_m_resolution :premises (@p84 @p71) :args (@t164 @t165 @t166)) % 0.40/0.58 (step @p86 :rule cnf_equiv_pos2 :args (@t164)) % 0.40/0.58 (step @p87 :rule reordering :premises (@p86) :args ((or @t3 @t167 (not @t164)))) % 0.40/0.58 (step @p88 :rule chain_m_resolution :premises (@p87 @p1 @p85) :args (@t167 @t168 (@list @t3 @t164))) % 0.40/0.58 (step @p89 :rule cnf_or_neg :args (@t163 1)) % 0.40/0.58 (step @p90 :rule chain_m_resolution :premises (@p89 @p88) :args ((not @t162) @t169 @t170)) % 0.40/0.58 (step @p91 :rule eq-symm :args (tptp.vd530 tptp.vd529)) % 0.40/0.58 (step @p92 :rule refl :args (@t171)) % 0.40/0.58 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t172)) % 0.40/0.58 (step @p94 :rule refl :args (@t4)) % 0.40/0.58 (step @p95 :rule cong :premises (@p94 @p93) :args (@t173)) % 0.40/0.58 (step @p96 :rule cong :premises (@p77 @p95) :args ((=> @t161 @t173))) % 0.40/0.58 (assume-push @p180 @t161) % 0.40/0.58 (step @p98 :rule instantiate :premises (@p71) :args ((@list tptp.vd530 tptp.vd529))) % 0.40/0.58 (step-pop @p181 :rule scope :premises (@p98)) % 0.40/0.58 (step @p99 :rule process_scope :premises (@p181) :args (@t173)) % 0.40/0.58 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 0.40/0.58 (step @p102 :rule implies_elim :premises (@p101)) % 0.40/0.58 (step @p103 :rule chain_m_resolution :premises (@p102 @p71) :args (@t176 @t165 @t166)) % 0.40/0.58 (step @p104 :rule cnf_equiv_pos1 :args (@t176)) % 0.40/0.58 (step @p105 :rule reordering :premises (@p104) :args ((or @t177 @t175 (not @t176)))) % 0.40/0.58 (step @p106 :rule chain_m_resolution :premises (@p105 @p2 @p103) :args (@t175 @t178 (@list @t4 @t176))) % 0.40/0.58 (step @p107 :rule refl :args (@t10)) % 0.40/0.58 (step @p108 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.40/0.58 (step @p109 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.40/0.58 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((and (not @t16) (not @t13)))) % 0.40/0.58 (step @p111 :rule bool-or-de-morgan :args (@t16 @t13 false)) % 0.40/0.58 (step @p112 :rule trans :premises (@p111 @p110)) % 0.40/0.58 (step @p113 :rule nary_cong :premises (@p112 @p107) :args ((or (not @t17) @t10))) % 0.40/0.58 (step @p114 :rule bool-impl-elim :args (@t17 @t10)) % 0.40/0.58 (step @p115 :rule trans :premises (@p114 @p113)) % 0.40/0.58 (step @p116 :rule cong :premises (@p115) :args (@t18)) % 0.40/0.58 (step @p117 :rule eq_resolve :premises (@p4 @p116)) % 0.40/0.58 (step @p118 :rule instantiate :premises (@p117) :args ((@list tptp.vd526 tptp.vd527 tptp.vd529 tptp.vd530))) % 0.40/0.58 (step @p119 :rule cnf_or_neg :args (@t163 0)) % 0.40/0.58 (step @p120 :rule chain_m_resolution :premises (@p119 @p88) :args ((not @t158) @t169 @t170)) % 0.40/0.58 (step @p121 :rule cnf_or_pos :args (@t186)) % 0.40/0.58 (step @p122 :rule reordering :premises (@p121) :args ((or @t158 @t185 (not @t186)))) % 0.40/0.58 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p118) :args (@t185 @t168 (@list @t158 @t186))) % 0.40/0.58 (step @p124 :rule cnf_and_pos :args (@t185 0)) % 0.40/0.58 (step @p125 :rule reordering :premises (@p124) :args ((or @t184 @t187))) % 0.40/0.58 (step @p126 :rule chain_m_resolution :premises (@p125 @p123) :args (@t184 @t165 @t188)) % 0.40/0.58 (step @p127 :rule cnf_or_pos :args (@t184)) % 0.40/0.58 (step @p128 :rule reordering :premises (@p127) :args ((or @t182 @t183 (not @t184)))) % 0.40/0.58 (step @p129 :rule chain_m_resolution :premises (@p128 @p3 @p126) :args (@t183 @t178 (@list @t5 @t184))) % 0.40/0.58 (step @p130 :rule cnf_or_pos :args (@t175)) % 0.40/0.58 (step @p131 :rule reordering :premises (@p130) :args ((or @t171 @t174 (not @t175)))) % 0.40/0.58 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p106) :args (@t174 @t168 (@list @t171 @t175))) % 0.40/0.58 (step @p133 :rule eq-symm :args (tptp.vd527 tptp.vd526)) % 0.40/0.58 (step @p134 :rule refl :args (@t179)) % 0.40/0.58 (step @p135 :rule nary_cong :premises (@p134 @p133) :args (@t189)) % 0.40/0.58 (step @p136 :rule refl :args (@t5)) % 0.40/0.58 (step @p137 :rule cong :premises (@p136 @p135) :args (@t190)) % 0.40/0.58 (step @p138 :rule cong :premises (@p77 @p137) :args ((=> @t161 @t190))) % 0.40/0.58 (assume-push @p182 @t161) % 0.40/0.58 (step @p140 :rule instantiate :premises (@p71) :args ((@list tptp.vd527 tptp.vd526))) % 0.40/0.58 (step-pop @p183 :rule scope :premises (@p140)) % 0.40/0.58 (step @p141 :rule process_scope :premises (@p183) :args (@t190)) % 0.40/0.58 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 0.40/0.58 (step @p144 :rule implies_elim :premises (@p143)) % 0.40/0.58 (step @p145 :rule chain_m_resolution :premises (@p144 @p71) :args (@t193 @t165 @t166)) % 0.40/0.58 (step @p146 :rule cnf_equiv_pos1 :args (@t193)) % 0.40/0.58 (step @p147 :rule reordering :premises (@p146) :args ((or @t182 @t192 (not @t193)))) % 0.40/0.58 (step @p148 :rule chain_m_resolution :premises (@p147 @p3 @p145) :args (@t192 @t178 (@list @t5 @t193))) % 0.40/0.58 (step @p149 :rule cnf_and_pos :args (@t185 1)) % 0.40/0.59 (step @p150 :rule reordering :premises (@p149) :args ((or @t181 @t187))) % 0.40/0.59 (step @p151 :rule chain_m_resolution :premises (@p150 @p123) :args (@t181 @t165 @t188)) % 0.40/0.59 (step @p152 :rule cnf_or_pos :args (@t181)) % 0.40/0.59 (step @p153 :rule reordering :premises (@p152) :args ((or @t177 @t180 (not @t181)))) % 0.40/0.59 (step @p154 :rule chain_m_resolution :premises (@p153 @p2 @p151) :args (@t180 @t178 (@list @t4 @t181))) % 0.40/0.59 (step @p155 :rule cnf_or_pos :args (@t192)) % 0.40/0.59 (step @p156 :rule reordering :premises (@p155) :args ((or @t179 @t191 (not @t192)))) % 0.40/0.59 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p148) :args (@t191 @t168 (@list @t179 @t192))) % 0.40/0.59 (assume-push @p184 @t195) % 0.40/0.59 (assume-push @p185 @t196) % 0.40/0.59 (assume-push @p186 @t191) % 0.40/0.59 (assume-push @p187 @t174) % 0.40/0.59 (step @p162 :rule symm :premises (@p64)) % 0.40/0.59 (step @p163 :rule refl :args (tptp.vd530)) % 0.40/0.59 (step @p164 :rule cong :premises (@p163 @p157) :args ((tptp.vmul tptp.vd530 tptp.vd526))) % 0.40/0.59 (step @p165 :rule refl :args (tptp.vd526)) % 0.40/0.59 (step @p166 :rule cong :premises (@p132 @p165) :args (@t194)) % 0.40/0.59 (step @p167 :rule trans :premises (@p63 @p166 @p164 @p162)) % 0.40/0.59 (step-pop @p188 :rule scope :premises (@p167)) % 0.40/0.59 (step-pop @p189 :rule scope :premises (@p188)) % 0.40/0.59 (step-pop @p190 :rule scope :premises (@p189)) % 0.40/0.59 (step-pop @p191 :rule scope :premises (@p190)) % 0.40/0.59 (step @p168 :rule process_scope :premises (@p191) :args (@t162)) % 0.40/0.59 (step @p173 :rule implies_elim :premises (@p168)) % 0.40/0.59 (step @p174 :rule cnf_and_neg :args (@t197)) % 0.40/0.59 (step @p175 :rule resolution :premises (@p174 @p173) :args (true @t197)) % 0.40/0.59 (step @p176 :rule reordering :premises (@p175) :args ((or @t162 (not @t195) (not @t196) (not @t191) (not @t174)))) % 0.40/0.59 (step @p177 false :rule chain_m_resolution :premises (@p176 @p157 @p132 @p90 @p64 @p63) :args (false (@list false false true false false) (@list @t191 @t174 @t162 @t196 @t195))) % 0.40/0.59 ) % 0.40/0.59 % SZS output end Proof % 0.40/0.59 % cvc5 exiting %------------------------------------------------------------------------------