%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM855+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 08:40:50 AM UTC 2026 % Result : Theorem 0.15s 0.39s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM855+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 % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 07:30:00 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.39 % SZS status Theorem % 0.15/0.39 % SZS output start Proof % 0.15/0.39 ( % 0.15/0.39 (declare-sort $$unsorted 0) % 0.15/0.39 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.v1 $$unsorted) % 0.15/0.39 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.vd508 $$unsorted) % 0.15/0.39 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.vd511 $$unsorted) % 0.15/0.39 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.vmul (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.vd509 $$unsorted) % 0.15/0.39 (declare-const tptp.vd512 $$unsorted) % 0.15/0.39 (define @t1 () (tptp.vmul tptp.vd509 tptp.vd512)) % 0.15/0.39 (define @t2 () (tptp.vmul tptp.vd508 tptp.vd511)) % 0.15/0.39 (define @t3 () (tptp.greater @t2 @t1)) % 0.15/0.39 (define @t4 () (tptp.vmul tptp.vd512 tptp.vd509)) % 0.15/0.39 (define @t5 () (tptp.vmul tptp.vd511 tptp.vd509)) % 0.15/0.39 (define @t6 () (tptp.greater @t5 @t4)) % 0.15/0.39 (define @t7 () (tptp.vmul tptp.vd509 tptp.vd511)) % 0.15/0.39 (define @t8 () (tptp.greater @t2 @t7)) % 0.15/0.39 (define @t9 () (@var "Vd498" $$unsorted)) % 0.15/0.39 (define @t10 () (@var "Vd496" $$unsorted)) % 0.15/0.39 (define @t11 () (@var "Vd497" $$unsorted)) % 0.15/0.39 (define @t12 () (@var "Vd493" $$unsorted)) % 0.15/0.39 (define @t13 () (@var "Vd491" $$unsorted)) % 0.15/0.39 (define @t14 () (@var "Vd492" $$unsorted)) % 0.15/0.39 (define @t15 () (@var "Vd488" $$unsorted)) % 0.15/0.39 (define @t16 () (@var "Vd486" $$unsorted)) % 0.15/0.39 (define @t17 () (@var "Vd487" $$unsorted)) % 0.15/0.39 (define @t18 () (@var "Vd456" $$unsorted)) % 0.15/0.39 (define @t19 () (@var "Vd466" $$unsorted)) % 0.15/0.39 (define @t20 () (@var "Vd465" $$unsorted)) % 0.15/0.39 (define @t21 () (@var "Vd462" $$unsorted)) % 0.15/0.39 (define @t22 () (@var "Vd461" $$unsorted)) % 0.15/0.39 (define @t23 () (@var "Vd458" $$unsorted)) % 0.15/0.39 (define @t24 () (@var "Vd457" $$unsorted)) % 0.15/0.39 (define @t25 () (@var "Vd446" $$unsorted)) % 0.15/0.39 (define @t26 () (@var "Vd445" $$unsorted)) % 0.15/0.39 (define @t27 () (@var "Vd444" $$unsorted)) % 0.15/0.39 (define @t28 () (@var "Vd434" $$unsorted)) % 0.15/0.39 (define @t29 () (@var "Vd432" $$unsorted)) % 0.15/0.39 (define @t30 () (@var "Vd433" $$unsorted)) % 0.15/0.39 (define @t31 () (@var "Vd418" $$unsorted)) % 0.15/0.39 (define @t32 () (@var "Vd419" $$unsorted)) % 0.15/0.39 (define @t33 () (@var "Vd409" $$unsorted)) % 0.15/0.39 (define @t34 () (@var "Vd408" $$unsorted)) % 0.15/0.39 (define @t35 () (@var "Vd400" $$unsorted)) % 0.15/0.39 (define @t36 () (@var "Vd396" $$unsorted)) % 0.15/0.39 (define @t37 () (@var "Vd397" $$unsorted)) % 0.15/0.39 (define @t38 () (@var "Vd387" $$unsorted)) % 0.15/0.39 (define @t39 () (@var "Vd386" $$unsorted)) % 0.15/0.39 (define @t40 () (@var "Vd376" $$unsorted)) % 0.15/0.39 (define @t41 () (@var "Vd375" $$unsorted)) % 0.15/0.39 (define @t42 () (@var "Vd369" $$unsorted)) % 0.15/0.39 (define @t43 () (@var "Vd366" $$unsorted)) % 0.15/0.39 (define @t44 () (@var "Vd363" $$unsorted)) % 0.15/0.39 (define @t45 () (@var "Vd365" $$unsorted)) % 0.15/0.39 (define @t46 () (@var "Vd362" $$unsorted)) % 0.15/0.39 (define @t47 () (@var "Vd356" $$unsorted)) % 0.15/0.39 (define @t48 () (@var "Vd354" $$unsorted)) % 0.15/0.39 (define @t49 () (@var "Vd355" $$unsorted)) % 0.15/0.39 (define @t50 () (@var "Vd353" $$unsorted)) % 0.15/0.39 (define @t51 () (@var "Vd341" $$unsorted)) % 0.15/0.39 (define @t52 () (@var "Vd338" $$unsorted)) % 0.15/0.39 (define @t53 () (@var "Vd340" $$unsorted)) % 0.15/0.39 (define @t54 () (@var "Vd337" $$unsorted)) % 0.15/0.39 (define @t55 () (@var "Vd329" $$unsorted)) % 0.15/0.39 (define @t56 () (@var "Vd328" $$unsorted)) % 0.15/0.39 (define @t57 () (@var "Vd330" $$unsorted)) % 0.15/0.39 (define @t58 () (tptp.vplus @t55 @t57)) % 0.15/0.39 (define @t59 () (tptp.vplus @t56 @t57)) % 0.15/0.39 (define @t60 () (@list @t56 @t55 @t57)) % 0.15/0.39 (define @t61 () (@var "Vd303" $$unsorted)) % 0.15/0.39 (define @t62 () (@var "Vd302" $$unsorted)) % 0.15/0.39 (define @t63 () (tptp.vplus @t62 @t61)) % 0.15/0.39 (define @t64 () (@var "Vd301" $$unsorted)) % 0.15/0.39 (define @t65 () (tptp.vplus @t64 @t61)) % 0.15/0.39 (define @t66 () (@list @t64 @t62 @t61)) % 0.15/0.39 (define @t67 () (@var "Vd295" $$unsorted)) % 0.15/0.39 (define @t68 () (@var "Vd296" $$unsorted)) % 0.15/0.39 (define @t69 () (@var "Vd292" $$unsorted)) % 0.15/0.39 (define @t70 () (@var "Vd289" $$unsorted)) % 0.15/0.39 (define @t71 () (@var "Vd290" $$unsorted)) % 0.15/0.39 (define @t72 () (@var "Vd283" $$unsorted)) % 0.15/0.39 (define @t73 () (@var "Vd281" $$unsorted)) % 0.15/0.39 (define @t74 () (@var "Vd282" $$unsorted)) % 0.15/0.39 (define @t75 () (@var "Vd265" $$unsorted)) % 0.15/0.39 (define @t76 () (@var "Vd262" $$unsorted)) % 0.15/0.39 (define @t77 () (tptp.less @t76 @t75)) % 0.15/0.39 (define @t78 () (@var "Vd263" $$unsorted)) % 0.15/0.39 (define @t79 () (tptp.less @t76 @t78)) % 0.15/0.39 (define @t80 () (tptp.less @t78 @t75)) % 0.15/0.39 (define @t81 () (and @t80 @t79)) % 0.15/0.39 (define @t82 () (forall (@list @t76 @t78 @t75) (=> @t81 @t77))) % 0.15/0.39 (define @t83 () (@var "Vd258" $$unsorted)) % 0.15/0.39 (define @t84 () (@var "Vd259" $$unsorted)) % 0.15/0.39 (define @t85 () (@var "Vd254" $$unsorted)) % 0.15/0.39 (define @t86 () (@var "Vd255" $$unsorted)) % 0.15/0.39 (define @t87 () (@var "Vd249" $$unsorted)) % 0.15/0.39 (define @t88 () (@var "Vd250" $$unsorted)) % 0.15/0.39 (define @t89 () (@var "Vd244" $$unsorted)) % 0.15/0.39 (define @t90 () (@var "Vd245" $$unsorted)) % 0.15/0.39 (define @t91 () (@var "Vd226" $$unsorted)) % 0.15/0.39 (define @t92 () (@var "Vd227" $$unsorted)) % 0.15/0.39 (define @t93 () (@var "Vd208" $$unsorted)) % 0.15/0.39 (define @t94 () (@var "Vd209" $$unsorted)) % 0.15/0.39 (define @t95 () (tptp.less @t94 @t93)) % 0.15/0.39 (define @t96 () (tptp.greater @t93 @t94)) % 0.15/0.39 (define @t97 () (forall (@list @t93 @t94) (=> @t96 @t95))) % 0.15/0.39 (define @t98 () (@var "Vd204" $$unsorted)) % 0.15/0.39 (define @t99 () (@var "Vd203" $$unsorted)) % 0.15/0.39 (define @t100 () (tptp.less @t99 @t98)) % 0.15/0.39 (define @t101 () (tptp.greater @t99 @t98)) % 0.15/0.39 (define @t102 () (= @t99 @t98)) % 0.15/0.39 (define @t103 () (@list @t99 @t98)) % 0.15/0.39 (define @t104 () (not @t100)) % 0.15/0.39 (define @t105 () (not @t102)) % 0.15/0.39 (define @t106 () (not @t101)) % 0.15/0.39 (define @t107 () (@var "Vd201" $$unsorted)) % 0.15/0.39 (define @t108 () (@var "Vd199" $$unsorted)) % 0.15/0.39 (define @t109 () (@var "Vd198" $$unsorted)) % 0.15/0.39 (define @t110 () (@var "Vd196" $$unsorted)) % 0.15/0.39 (define @t111 () (@var "Vd193" $$unsorted)) % 0.15/0.39 (define @t112 () (@var "Vd194" $$unsorted)) % 0.15/0.39 (define @t113 () (@var "Vd125" $$unsorted)) % 0.15/0.39 (define @t114 () (@var "Vd120" $$unsorted)) % 0.15/0.39 (define @t115 () (@var "Vd121" $$unsorted)) % 0.15/0.39 (define @t116 () (exists (@list @t113) (= @t115 (tptp.vplus @t114 @t113)))) % 0.15/0.39 (define @t117 () (@var "Vd123" $$unsorted)) % 0.15/0.39 (define @t118 () (exists (@list @t117) (= @t114 (tptp.vplus @t115 @t117)))) % 0.15/0.39 (define @t119 () (= @t114 @t115)) % 0.15/0.39 (define @t120 () (@list @t114 @t115)) % 0.15/0.39 (define @t121 () (not @t116)) % 0.15/0.39 (define @t122 () (not @t119)) % 0.15/0.39 (define @t123 () (not @t118)) % 0.15/0.39 (define @t124 () (@var "Vd105" $$unsorted)) % 0.15/0.39 (define @t125 () (@var "Vd107" $$unsorted)) % 0.15/0.39 (define @t126 () (@var "Vd104" $$unsorted)) % 0.15/0.39 (define @t127 () (@var "Vd93" $$unsorted)) % 0.15/0.39 (define @t128 () (@var "Vd92" $$unsorted)) % 0.15/0.39 (define @t129 () (@var "Vd79" $$unsorted)) % 0.15/0.39 (define @t130 () (@var "Vd78" $$unsorted)) % 0.15/0.39 (define @t131 () (@var "Vd69" $$unsorted)) % 0.15/0.39 (define @t132 () (@var "Vd68" $$unsorted)) % 0.15/0.39 (define @t133 () (@var "Vd59" $$unsorted)) % 0.15/0.39 (define @t134 () (@var "Vd48" $$unsorted)) % 0.15/0.39 (define @t135 () (@var "Vd47" $$unsorted)) % 0.15/0.39 (define @t136 () (@var "Vd46" $$unsorted)) % 0.15/0.39 (define @t137 () (@var "Vd42" $$unsorted)) % 0.15/0.39 (define @t138 () (@var "Vd43" $$unsorted)) % 0.15/0.39 (define @t139 () (@var "Vd24" $$unsorted)) % 0.15/0.39 (define @t140 () (@var "Vd16" $$unsorted)) % 0.15/0.39 (define @t141 () (@var "Vd8" $$unsorted)) % 0.15/0.39 (define @t142 () (@var "Vd7" $$unsorted)) % 0.15/0.39 (define @t143 () (@var "Vd4" $$unsorted)) % 0.15/0.39 (define @t144 () (@var "Vd3" $$unsorted)) % 0.15/0.39 (define @t145 () (@var "Vd1" $$unsorted)) % 0.15/0.39 (define @t146 () (tptp.less @t5 @t4)) % 0.15/0.39 (define @t147 () (not @t146)) % 0.15/0.39 (define @t148 () (not @t6)) % 0.15/0.39 (define @t149 () (or @t148 @t147)) % 0.15/0.39 (define @t150 () (@list false false)) % 0.15/0.39 (define @t151 () (not @t79)) % 0.15/0.39 (define @t152 () (not @t80)) % 0.15/0.39 (define @t153 () (tptp.less @t7 @t2)) % 0.15/0.39 (define @t154 () (not @t8)) % 0.15/0.39 (define @t155 () (or @t154 @t153)) % 0.15/0.39 (define @t156 () (not @t153)) % 0.15/0.39 (define @t157 () (= @t2 @t1)) % 0.15/0.39 (define @t158 () (not @t157)) % 0.15/0.39 (define @t159 () (= @t5 @t7)) % 0.15/0.39 (define @t160 () (not @t159)) % 0.15/0.39 (define @t161 () (= @t1 @t4)) % 0.15/0.39 (define @t162 () (not @t161)) % 0.15/0.39 (define @t163 () (not @t147)) % 0.15/0.39 (define @t164 () (= false true)) % 0.15/0.39 (define @t165 () (and @t153 @t159 @t157 @t161 @t147)) % 0.15/0.39 (define @t166 () (tptp.less @t2 @t1)) % 0.15/0.39 (define @t167 () (or @t157 @t3 @t166)) % 0.15/0.39 (define @t168 () (tptp.less @t7 @t1)) % 0.15/0.39 (define @t169 () (not @t166)) % 0.15/0.39 (define @t170 () (or @t169 @t156 @t168)) % 0.15/0.39 (define @t171 () (not @t168)) % 0.15/0.39 (define @t172 () (and @t168 @t159 @t161 @t147)) % 0.15/0.39 (assume @p1 (not @t3)) % 0.15/0.39 (assume @p2 (= @t4 @t1)) % 0.15/0.39 (assume @p3 @t6) % 0.15/0.39 (assume @p4 (= @t7 @t5)) % 0.15/0.39 (assume @p5 @t8) % 0.15/0.39 (assume @p6 (tptp.greater tptp.vd511 tptp.vd512)) % 0.15/0.39 (assume @p7 (tptp.greater tptp.vd508 tptp.vd509)) % 0.15/0.39 (assume @p8 (forall (@list @t10 @t11 @t9) (=> (tptp.less (tptp.vmul @t10 @t11) (tptp.vmul @t9 @t11)) (tptp.less @t10 @t9)))) % 0.15/0.39 (assume @p9 (forall (@list @t13 @t14 @t12) (=> (= (tptp.vmul @t13 @t14) (tptp.vmul @t12 @t14)) (= @t13 @t12)))) % 0.15/0.39 (assume @p10 (forall (@list @t16 @t17 @t15) (=> (tptp.greater (tptp.vmul @t16 @t17) (tptp.vmul @t15 @t17)) (tptp.greater @t16 @t15)))) % 0.15/0.39 (assume @p11 (forall (@list @t18 @t20 @t19) (=> (tptp.less @t20 @t19) (tptp.less (tptp.vmul @t20 @t18) (tptp.vmul @t19 @t18))))) % 0.15/0.39 (assume @p12 (forall (@list @t18 @t22 @t21) (=> (= @t22 @t21) (= (tptp.vmul @t22 @t18) (tptp.vmul @t21 @t18))))) % 0.15/0.39 (assume @p13 (forall (@list @t18 @t24 @t23) (=> (tptp.greater @t24 @t23) (tptp.greater (tptp.vmul @t24 @t18) (tptp.vmul @t23 @t18))))) % 0.15/0.39 (assume @p14 (forall (@list @t27 @t26 @t25) (= (tptp.vmul (tptp.vmul @t27 @t26) @t25) (tptp.vmul @t27 (tptp.vmul @t26 @t25))))) % 0.15/0.39 (assume @p15 (forall (@list @t29 @t30 @t28) (= (tptp.vmul @t29 (tptp.vplus @t30 @t28)) (tptp.vplus (tptp.vmul @t29 @t30) (tptp.vmul @t29 @t28))))) % 0.15/0.39 (assume @p16 (forall (@list @t31 @t32) (= (tptp.vmul @t31 @t32) (tptp.vmul @t32 @t31)))) % 0.15/0.39 (assume @p17 (forall (@list @t34 @t33) (= (tptp.vmul (tptp.vsucc @t34) @t33) (tptp.vplus (tptp.vmul @t34 @t33) @t33)))) % 0.15/0.39 (assume @p18 (forall (@list @t35) (= (tptp.vmul tptp.v1 @t35) @t35))) % 0.15/0.39 (assume @p19 (forall (@list @t36 @t37) (and (= (tptp.vmul @t36 (tptp.vsucc @t37)) (tptp.vplus (tptp.vmul @t36 @t37) @t36)) (= (tptp.vmul @t36 tptp.v1) @t36)))) % 0.15/0.39 (assume @p20 (forall (@list @t39 @t38) (=> (tptp.less @t39 (tptp.vplus @t38 tptp.v1)) (tptp.leq @t39 @t38)))) % 0.15/0.39 (assume @p21 (forall (@list @t41 @t40) (=> (tptp.greater @t41 @t40) (tptp.geq @t41 (tptp.vplus @t40 tptp.v1))))) % 0.15/0.39 (assume @p22 (forall (@list @t42) (tptp.geq @t42 tptp.v1))) % 0.15/0.39 (assume @p23 (forall (@list @t46 @t44 @t45 @t43) (=> (and (tptp.geq @t45 @t43) (tptp.geq @t46 @t44)) (tptp.geq (tptp.vplus @t46 @t45) (tptp.vplus @t44 @t43))))) % 0.15/0.39 (assume @p24 (forall (@list @t50 @t48 @t49 @t47) (=> (or (and (tptp.greater @t49 @t47) (tptp.geq @t50 @t48)) (and (tptp.geq @t49 @t47) (tptp.greater @t50 @t48))) (tptp.greater (tptp.vplus @t50 @t49) (tptp.vplus @t48 @t47))))) % 0.15/0.39 (assume @p25 (forall (@list @t54 @t52 @t53 @t51) (=> (and (tptp.greater @t53 @t51) (tptp.greater @t54 @t52)) (tptp.greater (tptp.vplus @t54 @t53) (tptp.vplus @t52 @t51))))) % 0.15/0.39 (assume @p26 (forall @t60 (=> (tptp.less @t59 @t58) (tptp.less @t56 @t55)))) % 0.15/0.39 (assume @p27 (forall @t60 (=> (= @t59 @t58) (= @t56 @t55)))) % 0.15/0.39 (assume @p28 (forall @t60 (=> (tptp.greater @t59 @t58) (tptp.greater @t56 @t55)))) % 0.15/0.39 (assume @p29 (forall @t66 (=> (tptp.less @t64 @t62) (tptp.less @t65 @t63)))) % 0.15/0.39 (assume @p30 (forall @t66 (=> (= @t64 @t62) (= @t65 @t63)))) % 0.15/0.39 (assume @p31 (forall @t66 (=> (tptp.greater @t64 @t62) (tptp.greater @t65 @t63)))) % 0.15/0.39 (assume @p32 (forall (@list @t67 @t68) (tptp.greater (tptp.vplus @t67 @t68) @t67))) % 0.15/0.39 (assume @p33 (forall (@list @t70 @t71 @t69) (=> (and (tptp.leq @t71 @t69) (tptp.leq @t70 @t71)) (tptp.leq @t70 @t69)))) % 0.15/0.39 (assume @p34 (forall (@list @t73 @t74 @t72) (=> (or (and (tptp.less @t74 @t72) (tptp.leq @t73 @t74)) (and (tptp.leq @t74 @t72) (tptp.less @t73 @t74))) (tptp.less @t73 @t72)))) % 0.15/0.39 (assume @p35 @t82) % 0.15/0.39 (assume @p36 (forall (@list @t83 @t84) (=> (tptp.leq @t83 @t84) (tptp.geq @t84 @t83)))) % 0.15/0.39 (assume @p37 (forall (@list @t85 @t86) (=> (tptp.geq @t85 @t86) (tptp.leq @t86 @t85)))) % 0.15/0.39 (assume @p38 (forall (@list @t87 @t88) (= (tptp.leq @t88 @t87) (or (tptp.less @t88 @t87) (= @t88 @t87))))) % 0.15/0.39 (assume @p39 (forall (@list @t89 @t90) (= (tptp.geq @t90 @t89) (or (tptp.greater @t90 @t89) (= @t90 @t89))))) % 0.15/0.39 (assume @p40 (forall (@list @t91 @t92) (=> (tptp.less @t91 @t92) (tptp.greater @t92 @t91)))) % 0.15/0.39 (assume @p41 @t97) % 0.15/0.39 (assume @p42 (forall @t103 (or @t102 @t101 @t100))) % 0.15/0.39 (assume @p43 (forall @t103 (or @t105 @t104))) % 0.15/0.39 (assume @p44 (forall @t103 (or @t106 @t104))) % 0.15/0.39 (assume @p45 (forall @t103 (or @t105 @t106))) % 0.15/0.39 (assume @p46 (forall (@list @t109 @t108) (= (tptp.less @t108 @t109) (exists (@list @t107) (= @t109 (tptp.vplus @t108 @t107)))))) % 0.15/0.39 (assume @p47 (forall (@list @t111 @t112) (= (tptp.greater @t112 @t111) (exists (@list @t110) (= @t112 (tptp.vplus @t111 @t110)))))) % 0.15/0.39 (assume @p48 (forall @t120 (or @t119 @t118 @t116))) % 0.15/0.39 (assume @p49 (forall @t120 (or @t122 @t121))) % 0.15/0.39 (assume @p50 (forall @t120 (or @t123 @t121))) % 0.15/0.39 (assume @p51 (forall @t120 (or @t122 @t123))) % 0.15/0.39 (assume @p52 (forall (@list @t126 @t124) (=> (not (= @t126 @t124)) (forall (@list @t125) (not (= (tptp.vplus @t125 @t126) (tptp.vplus @t125 @t124))))))) % 0.15/0.39 (assume @p53 (forall (@list @t128 @t127) (not (= @t127 (tptp.vplus @t128 @t127))))) % 0.15/0.39 (assume @p54 (forall (@list @t130 @t129) (= (tptp.vplus @t129 @t130) (tptp.vplus @t130 @t129)))) % 0.15/0.39 (assume @p55 (forall (@list @t132 @t131) (= (tptp.vplus (tptp.vsucc @t132) @t131) (tptp.vsucc (tptp.vplus @t132 @t131))))) % 0.15/0.39 (assume @p56 (forall (@list @t133) (= (tptp.vplus tptp.v1 @t133) (tptp.vsucc @t133)))) % 0.15/0.39 (assume @p57 (forall (@list @t136 @t135 @t134) (= (tptp.vplus (tptp.vplus @t136 @t135) @t134) (tptp.vplus @t136 (tptp.vplus @t135 @t134))))) % 0.15/0.39 (assume @p58 (forall (@list @t137 @t138) (and (= (tptp.vplus @t137 (tptp.vsucc @t138)) (tptp.vsucc (tptp.vplus @t137 @t138))) (= (tptp.vplus @t137 tptp.v1) (tptp.vsucc @t137))))) % 0.15/0.39 (assume @p59 (forall (@list @t139) (=> (not (= @t139 tptp.v1)) (= @t139 (tptp.vsucc (tptp.vskolem2 @t139)))))) % 0.15/0.39 (assume @p60 (forall (@list @t140) (not (= (tptp.vsucc @t140) @t140)))) % 0.15/0.39 (assume @p61 (forall (@list @t142 @t141) (=> (not (= @t142 @t141)) (not (= (tptp.vsucc @t142) (tptp.vsucc @t141)))))) % 0.15/0.39 (assume @p62 (forall (@list @t144 @t143) (=> (= (tptp.vsucc @t144) (tptp.vsucc @t143)) (= @t144 @t143)))) % 0.15/0.39 (assume @p63 (forall (@list @t145) (not (= (tptp.vsucc @t145) tptp.v1)))) % 0.15/0.39 (assume @p64 true) % 0.15/0.39 (step @p65 :rule symm :premises (@p2)) % 0.15/0.39 (step @p66 :rule symm :premises (@p4)) % 0.15/0.39 (step @p67 :rule instantiate :premises (@p44) :args ((@list @t5 @t4))) % 0.15/0.39 (step @p68 :rule cnf_or_pos :args (@t149)) % 0.15/0.39 (step @p69 :rule reordering :premises (@p68) :args ((or @t148 @t147 (not @t149)))) % 0.15/0.39 (step @p70 :rule chain_m_resolution :premises (@p69 @p3 @p67) :args (@t147 @t150 (@list @t6 @t149))) % 0.15/0.39 (step @p71 :rule aci_norm :args ((= (or (or @t152 @t151) @t77) (or @t152 @t151 @t77)))) % 0.15/0.39 (step @p72 :rule refl :args (@t77)) % 0.15/0.39 (step @p73 :rule bool-and-de-morgan :args (@t80 @t79 true)) % 0.15/0.39 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or (not @t81) @t77))) % 0.15/0.39 (step @p75 :rule trans :premises (@p74 @p71)) % 0.15/0.39 (step @p76 :rule bool-impl-elim :args (@t81 @t77)) % 0.15/0.39 (step @p77 :rule trans :premises (@p76 @p75)) % 0.15/0.39 (step @p78 :rule cong :premises (@p77) :args (@t82)) % 0.15/0.39 (step @p79 :rule eq_resolve :premises (@p35 @p78)) % 0.15/0.39 (step @p80 :rule instantiate :premises (@p79) :args ((@list @t7 @t2 @t1))) % 0.15/0.39 (step @p81 :rule instantiate :premises (@p42) :args ((@list @t2 @t1))) % 0.15/0.39 (step @p82 :rule bool-impl-elim :args (@t96 @t95)) % 0.15/0.39 (step @p83 :rule cong :premises (@p82) :args (@t97)) % 0.15/0.39 (step @p84 :rule eq_resolve :premises (@p41 @p83)) % 0.15/0.39 (step @p85 :rule instantiate :premises (@p84) :args ((@list @t2 @t7))) % 0.15/0.39 (step @p86 :rule cnf_or_pos :args (@t155)) % 0.15/0.39 (step @p87 :rule reordering :premises (@p86) :args ((or @t154 @t153 (not @t155)))) % 0.15/0.39 (step @p88 :rule chain_m_resolution :premises (@p87 @p5 @p85) :args (@t153 @t150 (@list @t8 @t155))) % 0.15/0.39 (step @p89 :rule bool-double-not-elim :args (@t146)) % 0.15/0.39 (step @p90 :rule refl :args (@t156)) % 0.15/0.39 (step @p91 :rule refl :args (@t158)) % 0.15/0.39 (step @p92 :rule refl :args (@t160)) % 0.15/0.39 (step @p93 :rule refl :args (@t162)) % 0.15/0.39 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91 @p90 @p89) :args ((or @t162 @t160 @t158 @t156 @t163))) % 0.15/0.39 (assume-push @p169 @t153) % 0.15/0.39 (assume-push @p170 @t159) % 0.15/0.39 (assume-push @p171 @t157) % 0.15/0.39 (assume-push @p172 @t161) % 0.15/0.39 (assume-push @p173 @t147) % 0.15/0.39 (step @p100 :rule evaluate :args (@t164)) % 0.15/0.39 (step @p101 :rule true_intro :premises (@p88)) % 0.15/0.39 (step @p102 :rule symm :premises (@p171)) % 0.15/0.39 (step @p103 :rule trans :premises (@p2 @p102)) % 0.15/0.39 (step @p104 :rule cong :premises (@p66 @p103) :args (@t146)) % 0.15/0.39 (step @p105 :rule false_intro :premises (@p70)) % 0.15/0.39 (step @p106 :rule symm :premises (@p105)) % 0.15/0.39 (step @p107 :rule trans :premises (@p106 @p104 @p101)) % 0.15/0.39 (step @p108 false :rule eq_resolve :premises (@p107 @p100)) % 0.15/0.39 (step-pop @p174 :rule scope :premises (@p108)) % 0.15/0.39 (step-pop @p175 :rule scope :premises (@p174)) % 0.15/0.39 (step-pop @p176 :rule scope :premises (@p175)) % 0.15/0.39 (step-pop @p177 :rule scope :premises (@p176)) % 0.15/0.39 (step-pop @p178 :rule scope :premises (@p177)) % 0.15/0.39 (step @p109 :rule process_scope :premises (@p178) :args (false)) % 0.15/0.39 (assume-push @p179 @t161) % 0.15/0.39 (assume-push @p180 @t159) % 0.15/0.39 (assume-push @p181 @t157) % 0.15/0.39 (assume-push @p182 @t153) % 0.15/0.39 (assume-push @p183 @t147) % 0.15/0.39 (step @p120 :rule and_intro :premises (@p88 @p66 @p181 @p65 @p70)) % 0.15/0.39 (step-pop @p184 :rule scope :premises (@p120)) % 0.15/0.39 (step-pop @p185 :rule scope :premises (@p184)) % 0.15/0.39 (step-pop @p186 :rule scope :premises (@p185)) % 0.15/0.39 (step-pop @p187 :rule scope :premises (@p186)) % 0.15/0.39 (step-pop @p188 :rule scope :premises (@p187)) % 0.15/0.39 (step @p121 :rule process_scope :premises (@p188) :args (@t165)) % 0.15/0.39 (step @p127 :rule implies_elim :premises (@p121)) % 0.15/0.39 (step @p128 :rule resolution :premises (@p127 @p109) :args (true @t165)) % 0.15/0.39 (step @p129 :rule not_and :premises (@p128)) % 0.15/0.39 (step @p130 :rule eq_resolve :premises (@p129 @p94)) % 0.15/0.39 (step @p131 :rule reordering :premises (@p130) :args ((or @t162 @t160 @t146 @t158 @t156))) % 0.15/0.39 (step @p132 :rule chain_m_resolution :premises (@p131 @p65 @p66 @p70 @p88) :args (@t158 (@list false false true false) (@list @t161 @t159 @t146 @t153))) % 0.15/0.39 (step @p133 :rule cnf_or_pos :args (@t167)) % 0.15/0.39 (step @p134 :rule reordering :premises (@p133) :args ((or @t3 @t157 @t166 (not @t167)))) % 0.15/0.39 (step @p135 :rule chain_m_resolution :premises (@p134 @p1 @p132 @p81) :args (@t166 (@list true true false) (@list @t3 @t157 @t167))) % 0.15/0.39 (step @p136 :rule cnf_or_pos :args (@t170)) % 0.15/0.39 (step @p137 :rule reordering :premises (@p136) :args ((or @t156 @t169 @t168 (not @t170)))) % 0.15/0.39 (step @p138 :rule chain_m_resolution :premises (@p137 @p88 @p135 @p80) :args (@t168 (@list false false false) (@list @t153 @t166 @t170))) % 0.15/0.39 (step @p139 :rule refl :args (@t171)) % 0.15/0.39 (step @p140 :rule nary_cong :premises (@p93 @p92 @p89 @p139) :args ((or @t162 @t160 @t163 @t171))) % 0.15/0.39 (assume-push @p189 @t168) % 0.15/0.39 (assume-push @p190 @t159) % 0.15/0.39 (assume-push @p191 @t161) % 0.15/0.39 (assume-push @p192 @t147) % 0.15/0.39 (step @p100 :rule evaluate :args (@t164)) % 0.15/0.39 (step @p145 :rule true_intro :premises (@p189)) % 0.15/0.39 (step @p146 :rule cong :premises (@p66 @p2) :args (@t146)) % 0.15/0.39 (step @p105 :rule false_intro :premises (@p70)) % 0.15/0.39 (step @p106 :rule symm :premises (@p105)) % 0.15/0.39 (step @p147 :rule trans :premises (@p106 @p146 @p145)) % 0.15/0.39 (step @p148 false :rule eq_resolve :premises (@p147 @p100)) % 0.15/0.39 (step-pop @p193 :rule scope :premises (@p148)) % 0.15/0.39 (step-pop @p194 :rule scope :premises (@p193)) % 0.15/0.39 (step-pop @p195 :rule scope :premises (@p194)) % 0.15/0.39 (step-pop @p196 :rule scope :premises (@p195)) % 0.15/0.39 (step @p149 :rule process_scope :premises (@p196) :args (false)) % 0.15/0.39 (assume-push @p197 @t161) % 0.15/0.39 (assume-push @p198 @t159) % 0.15/0.39 (assume-push @p199 @t147) % 0.15/0.39 (assume-push @p200 @t168) % 0.15/0.39 (step @p158 :rule and_intro :premises (@p200 @p66 @p65 @p70)) % 0.15/0.39 (step-pop @p201 :rule scope :premises (@p158)) % 0.15/0.39 (step-pop @p202 :rule scope :premises (@p201)) % 0.15/0.39 (step-pop @p203 :rule scope :premises (@p202)) % 0.15/0.39 (step-pop @p204 :rule scope :premises (@p203)) % 0.15/0.39 (step @p159 :rule process_scope :premises (@p204) :args (@t172)) % 0.15/0.39 (step @p164 :rule implies_elim :premises (@p159)) % 0.15/0.39 (step @p165 :rule resolution :premises (@p164 @p149) :args (true @t172)) % 0.15/0.39 (step @p166 :rule not_and :premises (@p165)) % 0.15/0.39 (step @p167 :rule eq_resolve :premises (@p166 @p140)) % 0.15/0.39 (step @p168 false :rule chain_m_resolution :premises (@p167 @p138 @p70 @p66 @p65) :args (false (@list false true false false) (@list @t168 @t146 @t159 @t161))) % 0.15/0.39 ) % 0.15/0.39 % SZS output end Proof % 0.15/0.39 % cvc5 exiting %------------------------------------------------------------------------------