%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM849+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 : 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 08:40:49 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM849+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 % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 12:30:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.v1 $$unsorted) % 0.37/0.59 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.vd448 $$unsorted) % 0.37/0.59 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.vmul (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.vd449 $$unsorted) % 0.37/0.59 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.37/0.59 (define @t1 () (@var "Vd454" $$unsorted)) % 0.37/0.59 (define @t2 () (tptp.vsucc @t1)) % 0.37/0.59 (define @t3 () (tptp.vmul tptp.vd448 tptp.vd449)) % 0.37/0.59 (define @t4 () (= (tptp.vmul @t3 @t2) (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 @t2)))) % 0.37/0.59 (define @t5 () (= (tptp.vmul @t3 @t1) (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 @t1)))) % 0.37/0.59 (define @t6 () (@list @t1)) % 0.37/0.59 (define @t7 () (forall @t6 (=> @t5 @t4))) % 0.37/0.59 (define @t8 () (not @t7)) % 0.37/0.59 (define @t9 () (@var "Vd451" $$unsorted)) % 0.37/0.59 (define @t10 () (tptp.vsucc @t9)) % 0.37/0.59 (define @t11 () (tptp.vmul tptp.vd449 @t9)) % 0.37/0.59 (define @t12 () (tptp.vmul tptp.vd448 (tptp.vplus @t11 tptp.vd449))) % 0.37/0.59 (define @t13 () (= @t12 (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 @t10)))) % 0.37/0.59 (define @t14 () (tptp.vmul tptp.vd448 @t11)) % 0.37/0.59 (define @t15 () (tptp.vmul @t3 @t9)) % 0.37/0.59 (define @t16 () (= @t15 @t14)) % 0.37/0.59 (define @t17 () (@list @t9)) % 0.37/0.59 (define @t18 () (forall @t17 (=> @t16 @t13))) % 0.37/0.59 (define @t19 () (tptp.vplus @t14 @t3)) % 0.37/0.59 (define @t20 () (=> @t16 (= @t19 @t12))) % 0.37/0.59 (define @t21 () (forall @t17 @t20)) % 0.37/0.59 (define @t22 () (tptp.vplus @t15 @t3)) % 0.37/0.59 (define @t23 () (@var "Vd434" $$unsorted)) % 0.37/0.59 (define @t24 () (@var "Vd432" $$unsorted)) % 0.37/0.59 (define @t25 () (@var "Vd433" $$unsorted)) % 0.37/0.59 (define @t26 () (@var "Vd418" $$unsorted)) % 0.37/0.59 (define @t27 () (@var "Vd419" $$unsorted)) % 0.37/0.59 (define @t28 () (@var "Vd409" $$unsorted)) % 0.37/0.59 (define @t29 () (@var "Vd408" $$unsorted)) % 0.37/0.59 (define @t30 () (@var "Vd400" $$unsorted)) % 0.37/0.59 (define @t31 () (@var "Vd396" $$unsorted)) % 0.37/0.59 (define @t32 () (tptp.vmul @t31 tptp.v1)) % 0.37/0.59 (define @t33 () (@var "Vd397" $$unsorted)) % 0.37/0.59 (define @t34 () (= (tptp.vmul @t31 (tptp.vsucc @t33)) (tptp.vplus (tptp.vmul @t31 @t33) @t31))) % 0.37/0.59 (define @t35 () (and @t34 (= @t32 @t31))) % 0.37/0.59 (define @t36 () (@list @t31 @t33)) % 0.37/0.59 (define @t37 () (forall @t36 @t35)) % 0.37/0.59 (define @t38 () (@var "Vd387" $$unsorted)) % 0.37/0.59 (define @t39 () (@var "Vd386" $$unsorted)) % 0.37/0.59 (define @t40 () (@var "Vd376" $$unsorted)) % 0.37/0.59 (define @t41 () (@var "Vd375" $$unsorted)) % 0.37/0.59 (define @t42 () (@var "Vd369" $$unsorted)) % 0.37/0.59 (define @t43 () (@var "Vd366" $$unsorted)) % 0.37/0.59 (define @t44 () (@var "Vd363" $$unsorted)) % 0.37/0.59 (define @t45 () (@var "Vd365" $$unsorted)) % 0.37/0.59 (define @t46 () (@var "Vd362" $$unsorted)) % 0.37/0.59 (define @t47 () (@var "Vd356" $$unsorted)) % 0.37/0.59 (define @t48 () (@var "Vd354" $$unsorted)) % 0.37/0.59 (define @t49 () (@var "Vd355" $$unsorted)) % 0.37/0.59 (define @t50 () (@var "Vd353" $$unsorted)) % 0.37/0.59 (define @t51 () (@var "Vd341" $$unsorted)) % 0.37/0.59 (define @t52 () (@var "Vd338" $$unsorted)) % 0.37/0.59 (define @t53 () (@var "Vd340" $$unsorted)) % 0.37/0.59 (define @t54 () (@var "Vd337" $$unsorted)) % 0.37/0.59 (define @t55 () (@var "Vd329" $$unsorted)) % 0.37/0.59 (define @t56 () (@var "Vd328" $$unsorted)) % 0.37/0.59 (define @t57 () (@var "Vd330" $$unsorted)) % 0.37/0.59 (define @t58 () (tptp.vplus @t55 @t57)) % 0.37/0.59 (define @t59 () (tptp.vplus @t56 @t57)) % 0.37/0.59 (define @t60 () (@list @t56 @t55 @t57)) % 0.37/0.59 (define @t61 () (@var "Vd303" $$unsorted)) % 0.37/0.59 (define @t62 () (@var "Vd302" $$unsorted)) % 0.37/0.59 (define @t63 () (tptp.vplus @t62 @t61)) % 0.37/0.59 (define @t64 () (@var "Vd301" $$unsorted)) % 0.37/0.59 (define @t65 () (tptp.vplus @t64 @t61)) % 0.37/0.59 (define @t66 () (@list @t64 @t62 @t61)) % 0.37/0.59 (define @t67 () (@var "Vd295" $$unsorted)) % 0.37/0.59 (define @t68 () (@var "Vd296" $$unsorted)) % 0.37/0.59 (define @t69 () (@var "Vd292" $$unsorted)) % 0.37/0.59 (define @t70 () (@var "Vd289" $$unsorted)) % 0.37/0.59 (define @t71 () (@var "Vd290" $$unsorted)) % 0.37/0.59 (define @t72 () (@var "Vd283" $$unsorted)) % 0.37/0.59 (define @t73 () (@var "Vd281" $$unsorted)) % 0.37/0.59 (define @t74 () (@var "Vd282" $$unsorted)) % 0.37/0.59 (define @t75 () (@var "Vd265" $$unsorted)) % 0.37/0.59 (define @t76 () (@var "Vd262" $$unsorted)) % 0.37/0.59 (define @t77 () (@var "Vd263" $$unsorted)) % 0.37/0.59 (define @t78 () (@var "Vd258" $$unsorted)) % 0.37/0.59 (define @t79 () (@var "Vd259" $$unsorted)) % 0.37/0.59 (define @t80 () (@var "Vd254" $$unsorted)) % 0.37/0.59 (define @t81 () (@var "Vd255" $$unsorted)) % 0.37/0.59 (define @t82 () (@var "Vd249" $$unsorted)) % 0.37/0.59 (define @t83 () (@var "Vd250" $$unsorted)) % 0.37/0.59 (define @t84 () (@var "Vd244" $$unsorted)) % 0.37/0.59 (define @t85 () (@var "Vd245" $$unsorted)) % 0.37/0.59 (define @t86 () (@var "Vd226" $$unsorted)) % 0.37/0.59 (define @t87 () (@var "Vd227" $$unsorted)) % 0.37/0.59 (define @t88 () (@var "Vd208" $$unsorted)) % 0.37/0.59 (define @t89 () (@var "Vd209" $$unsorted)) % 0.37/0.59 (define @t90 () (@var "Vd204" $$unsorted)) % 0.37/0.59 (define @t91 () (@var "Vd203" $$unsorted)) % 0.37/0.59 (define @t92 () (tptp.less @t91 @t90)) % 0.37/0.59 (define @t93 () (tptp.greater @t91 @t90)) % 0.37/0.59 (define @t94 () (= @t91 @t90)) % 0.37/0.59 (define @t95 () (@list @t91 @t90)) % 0.37/0.59 (define @t96 () (not @t92)) % 0.37/0.59 (define @t97 () (not @t94)) % 0.37/0.59 (define @t98 () (not @t93)) % 0.37/0.59 (define @t99 () (@var "Vd201" $$unsorted)) % 0.37/0.59 (define @t100 () (@var "Vd199" $$unsorted)) % 0.37/0.59 (define @t101 () (@var "Vd198" $$unsorted)) % 0.37/0.59 (define @t102 () (@var "Vd196" $$unsorted)) % 0.37/0.59 (define @t103 () (@var "Vd193" $$unsorted)) % 0.37/0.59 (define @t104 () (@var "Vd194" $$unsorted)) % 0.37/0.59 (define @t105 () (@var "Vd125" $$unsorted)) % 0.37/0.59 (define @t106 () (@var "Vd120" $$unsorted)) % 0.37/0.59 (define @t107 () (@var "Vd121" $$unsorted)) % 0.37/0.59 (define @t108 () (exists (@list @t105) (= @t107 (tptp.vplus @t106 @t105)))) % 0.37/0.59 (define @t109 () (@var "Vd123" $$unsorted)) % 0.37/0.59 (define @t110 () (exists (@list @t109) (= @t106 (tptp.vplus @t107 @t109)))) % 0.37/0.59 (define @t111 () (= @t106 @t107)) % 0.37/0.59 (define @t112 () (@list @t106 @t107)) % 0.37/0.59 (define @t113 () (not @t108)) % 0.37/0.59 (define @t114 () (not @t111)) % 0.37/0.59 (define @t115 () (not @t110)) % 0.37/0.59 (define @t116 () (@var "Vd105" $$unsorted)) % 0.37/0.59 (define @t117 () (@var "Vd107" $$unsorted)) % 0.37/0.59 (define @t118 () (@var "Vd104" $$unsorted)) % 0.37/0.59 (define @t119 () (@var "Vd93" $$unsorted)) % 0.37/0.59 (define @t120 () (@var "Vd92" $$unsorted)) % 0.37/0.59 (define @t121 () (@var "Vd79" $$unsorted)) % 0.37/0.59 (define @t122 () (@var "Vd78" $$unsorted)) % 0.37/0.59 (define @t123 () (@var "Vd69" $$unsorted)) % 0.37/0.59 (define @t124 () (@var "Vd68" $$unsorted)) % 0.37/0.59 (define @t125 () (@var "Vd59" $$unsorted)) % 0.37/0.59 (define @t126 () (@var "Vd48" $$unsorted)) % 0.37/0.59 (define @t127 () (@var "Vd47" $$unsorted)) % 0.37/0.59 (define @t128 () (@var "Vd46" $$unsorted)) % 0.37/0.59 (define @t129 () (@var "Vd42" $$unsorted)) % 0.37/0.59 (define @t130 () (@var "Vd43" $$unsorted)) % 0.37/0.59 (define @t131 () (@var "Vd24" $$unsorted)) % 0.37/0.59 (define @t132 () (@var "Vd16" $$unsorted)) % 0.37/0.59 (define @t133 () (@var "Vd8" $$unsorted)) % 0.37/0.59 (define @t134 () (@var "Vd7" $$unsorted)) % 0.37/0.59 (define @t135 () (@var "Vd4" $$unsorted)) % 0.37/0.59 (define @t136 () (@var "Vd3" $$unsorted)) % 0.37/0.59 (define @t137 () (@var "Vd1" $$unsorted)) % 0.37/0.59 (define @t138 () (@quantifiers_skolemize (forall @t6 (or (not @t5) @t4)) 0)) % 0.37/0.59 (define @t139 () (tptp.vmul tptp.vd449 @t138)) % 0.37/0.59 (define @t140 () (tptp.vmul tptp.vd448 @t139)) % 0.37/0.59 (define @t141 () (tptp.vmul @t3 @t138)) % 0.37/0.59 (define @t142 () (= @t141 @t140)) % 0.37/0.59 (define @t143 () (tptp.vsucc @t138)) % 0.37/0.59 (define @t144 () (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 @t143))) % 0.37/0.59 (define @t145 () (tptp.vmul @t3 @t143)) % 0.37/0.59 (define @t146 () (= @t145 @t144)) % 0.37/0.59 (define @t147 () (not @t142)) % 0.37/0.59 (define @t148 () (or @t147 @t146)) % 0.37/0.59 (define @t149 () (@list true)) % 0.37/0.59 (define @t150 () (@list @t148)) % 0.37/0.59 (define @t151 () (not @t146)) % 0.37/0.59 (define @t152 () (@var "BOUND_VARIABLE_7913" $$unsorted)) % 0.37/0.59 (define @t153 () (= @t152 (tptp.vmul @t152 tptp.v1))) % 0.37/0.59 (define @t154 () (@var "BOUND_VARIABLE_7915" $$unsorted)) % 0.37/0.59 (define @t155 () (forall (@list @t152 @t154) @t153)) % 0.37/0.59 (define @t156 () (@var "BOUND_VARIABLE_7902" $$unsorted)) % 0.37/0.59 (define @t157 () (@var "BOUND_VARIABLE_7904" $$unsorted)) % 0.37/0.59 (define @t158 () (forall (@list @t156 @t157) (= (tptp.vmul @t156 (tptp.vsucc @t157)) (tptp.vplus (tptp.vmul @t156 @t157) @t156)))) % 0.37/0.59 (define @t159 () (= @t31 @t32)) % 0.37/0.59 (define @t160 () (forall @t36 @t159)) % 0.37/0.59 (define @t161 () (@list @t31 @t33)) % 0.37/0.59 (define @t162 () (forall @t36 @t34)) % 0.37/0.59 (define @t163 () (and @t162 @t160)) % 0.37/0.59 (define @t164 () (tptp.vmul tptp.vd448 (tptp.vplus @t139 tptp.vd449))) % 0.37/0.59 (define @t165 () (or @t147 (= @t164 @t144))) % 0.37/0.59 (define @t166 () (forall @t17 (or (not @t16) @t13))) % 0.37/0.59 (define @t167 () (@list @t138)) % 0.37/0.59 (define @t168 () (= @t144 @t164)) % 0.37/0.59 (define @t169 () (or @t147 @t168)) % 0.37/0.59 (define @t170 () (@list false false)) % 0.37/0.59 (define @t171 () (= @t12 @t19)) % 0.37/0.59 (define @t172 () (tptp.vplus @t140 @t3)) % 0.37/0.59 (define @t173 () (= @t164 @t172)) % 0.37/0.59 (define @t174 () (or @t147 @t173)) % 0.37/0.59 (define @t175 () (= @t145 (tptp.vmul @t143 @t3))) % 0.37/0.59 (define @t176 () (not @t175)) % 0.37/0.59 (define @t177 () (tptp.vplus @t141 @t3)) % 0.37/0.59 (define @t178 () (= @t145 @t177)) % 0.37/0.59 (define @t179 () (not @t178)) % 0.37/0.59 (define @t180 () (not @t173)) % 0.37/0.59 (define @t181 () (not @t168)) % 0.37/0.59 (define @t182 () (= @t172 @t177)) % 0.37/0.59 (define @t183 () (and @t175 @t178 @t182 @t173 @t168 @t151)) % 0.37/0.59 (assume @p1 @t8) % 0.37/0.59 (assume @p2 @t18) % 0.37/0.59 (assume @p3 @t21) % 0.37/0.59 (assume @p4 (forall @t17 (=> @t16 (= @t22 @t19)))) % 0.37/0.59 (assume @p5 (forall @t17 (=> @t16 (= (tptp.vmul @t3 @t10) @t22)))) % 0.37/0.59 (assume @p6 (= @t3 (tptp.vmul tptp.vd448 (tptp.vmul tptp.vd449 tptp.v1)))) % 0.37/0.59 (assume @p7 (= (tptp.vmul @t3 tptp.v1) @t3)) % 0.37/0.59 (assume @p8 (forall (@list @t24 @t25 @t23) (= (tptp.vmul @t24 (tptp.vplus @t25 @t23)) (tptp.vplus (tptp.vmul @t24 @t25) (tptp.vmul @t24 @t23))))) % 0.37/0.59 (assume @p9 (forall (@list @t26 @t27) (= (tptp.vmul @t26 @t27) (tptp.vmul @t27 @t26)))) % 0.37/0.59 (assume @p10 (forall (@list @t29 @t28) (= (tptp.vmul (tptp.vsucc @t29) @t28) (tptp.vplus (tptp.vmul @t29 @t28) @t28)))) % 0.37/0.59 (assume @p11 (forall (@list @t30) (= (tptp.vmul tptp.v1 @t30) @t30))) % 0.37/0.59 (assume @p12 @t37) % 0.37/0.59 (assume @p13 (forall (@list @t39 @t38) (=> (tptp.less @t39 (tptp.vplus @t38 tptp.v1)) (tptp.leq @t39 @t38)))) % 0.37/0.59 (assume @p14 (forall (@list @t41 @t40) (=> (tptp.greater @t41 @t40) (tptp.geq @t41 (tptp.vplus @t40 tptp.v1))))) % 0.37/0.59 (assume @p15 (forall (@list @t42) (tptp.geq @t42 tptp.v1))) % 0.37/0.59 (assume @p16 (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))))) % 0.37/0.59 (assume @p17 (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))))) % 0.37/0.59 (assume @p18 (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))))) % 0.37/0.59 (assume @p19 (forall @t60 (=> (tptp.less @t59 @t58) (tptp.less @t56 @t55)))) % 0.37/0.59 (assume @p20 (forall @t60 (=> (= @t59 @t58) (= @t56 @t55)))) % 0.37/0.59 (assume @p21 (forall @t60 (=> (tptp.greater @t59 @t58) (tptp.greater @t56 @t55)))) % 0.37/0.59 (assume @p22 (forall @t66 (=> (tptp.less @t64 @t62) (tptp.less @t65 @t63)))) % 0.37/0.59 (assume @p23 (forall @t66 (=> (= @t64 @t62) (= @t65 @t63)))) % 0.37/0.59 (assume @p24 (forall @t66 (=> (tptp.greater @t64 @t62) (tptp.greater @t65 @t63)))) % 0.37/0.59 (assume @p25 (forall (@list @t67 @t68) (tptp.greater (tptp.vplus @t67 @t68) @t67))) % 0.37/0.59 (assume @p26 (forall (@list @t70 @t71 @t69) (=> (and (tptp.leq @t71 @t69) (tptp.leq @t70 @t71)) (tptp.leq @t70 @t69)))) % 0.37/0.59 (assume @p27 (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)))) % 0.37/0.59 (assume @p28 (forall (@list @t76 @t77 @t75) (=> (and (tptp.less @t77 @t75) (tptp.less @t76 @t77)) (tptp.less @t76 @t75)))) % 0.37/0.59 (assume @p29 (forall (@list @t78 @t79) (=> (tptp.leq @t78 @t79) (tptp.geq @t79 @t78)))) % 0.37/0.59 (assume @p30 (forall (@list @t80 @t81) (=> (tptp.geq @t80 @t81) (tptp.leq @t81 @t80)))) % 0.37/0.59 (assume @p31 (forall (@list @t82 @t83) (= (tptp.leq @t83 @t82) (or (tptp.less @t83 @t82) (= @t83 @t82))))) % 0.37/0.59 (assume @p32 (forall (@list @t84 @t85) (= (tptp.geq @t85 @t84) (or (tptp.greater @t85 @t84) (= @t85 @t84))))) % 0.37/0.59 (assume @p33 (forall (@list @t86 @t87) (=> (tptp.less @t86 @t87) (tptp.greater @t87 @t86)))) % 0.37/0.59 (assume @p34 (forall (@list @t88 @t89) (=> (tptp.greater @t88 @t89) (tptp.less @t89 @t88)))) % 0.37/0.59 (assume @p35 (forall @t95 (or @t94 @t93 @t92))) % 0.37/0.59 (assume @p36 (forall @t95 (or @t97 @t96))) % 0.37/0.59 (assume @p37 (forall @t95 (or @t98 @t96))) % 0.37/0.59 (assume @p38 (forall @t95 (or @t97 @t98))) % 0.37/0.59 (assume @p39 (forall (@list @t101 @t100) (= (tptp.less @t100 @t101) (exists (@list @t99) (= @t101 (tptp.vplus @t100 @t99)))))) % 0.37/0.59 (assume @p40 (forall (@list @t103 @t104) (= (tptp.greater @t104 @t103) (exists (@list @t102) (= @t104 (tptp.vplus @t103 @t102)))))) % 0.37/0.59 (assume @p41 (forall @t112 (or @t111 @t110 @t108))) % 0.37/0.59 (assume @p42 (forall @t112 (or @t114 @t113))) % 0.37/0.59 (assume @p43 (forall @t112 (or @t115 @t113))) % 0.37/0.59 (assume @p44 (forall @t112 (or @t114 @t115))) % 0.37/0.59 (assume @p45 (forall (@list @t118 @t116) (=> (not (= @t118 @t116)) (forall (@list @t117) (not (= (tptp.vplus @t117 @t118) (tptp.vplus @t117 @t116))))))) % 0.37/0.59 (assume @p46 (forall (@list @t120 @t119) (not (= @t119 (tptp.vplus @t120 @t119))))) % 0.37/0.59 (assume @p47 (forall (@list @t122 @t121) (= (tptp.vplus @t121 @t122) (tptp.vplus @t122 @t121)))) % 0.37/0.59 (assume @p48 (forall (@list @t124 @t123) (= (tptp.vplus (tptp.vsucc @t124) @t123) (tptp.vsucc (tptp.vplus @t124 @t123))))) % 0.37/0.59 (assume @p49 (forall (@list @t125) (= (tptp.vplus tptp.v1 @t125) (tptp.vsucc @t125)))) % 0.37/0.59 (assume @p50 (forall (@list @t128 @t127 @t126) (= (tptp.vplus (tptp.vplus @t128 @t127) @t126) (tptp.vplus @t128 (tptp.vplus @t127 @t126))))) % 0.37/0.59 (assume @p51 (forall (@list @t129 @t130) (and (= (tptp.vplus @t129 (tptp.vsucc @t130)) (tptp.vsucc (tptp.vplus @t129 @t130))) (= (tptp.vplus @t129 tptp.v1) (tptp.vsucc @t129))))) % 0.37/0.59 (assume @p52 (forall (@list @t131) (=> (not (= @t131 tptp.v1)) (= @t131 (tptp.vsucc (tptp.vskolem2 @t131)))))) % 0.37/0.59 (assume @p53 (forall (@list @t132) (not (= (tptp.vsucc @t132) @t132)))) % 0.37/0.59 (assume @p54 (forall (@list @t134 @t133) (=> (not (= @t134 @t133)) (not (= (tptp.vsucc @t134) (tptp.vsucc @t133)))))) % 0.37/0.59 (assume @p55 (forall (@list @t136 @t135) (=> (= (tptp.vsucc @t136) (tptp.vsucc @t135)) (= @t136 @t135)))) % 0.37/0.59 (assume @p56 (forall (@list @t137) (not (= (tptp.vsucc @t137) tptp.v1)))) % 0.37/0.59 (assume @p57 true) % 0.37/0.59 (step @p58 :rule bool-impl-elim :args (@t5 @t4)) % 0.37/0.59 (step @p59 :rule cong :premises (@p58) :args (@t7)) % 0.37/0.59 (step @p60 :rule cong :premises (@p59) :args (@t8)) % 0.37/0.59 (step @p61 :rule eq_resolve :premises (@p1 @p60)) % 0.37/0.59 (step @p62 :rule skolemize :premises (@p61)) % 0.37/0.59 (step @p63 :rule bool-double-not-elim :args (@t142)) % 0.37/0.59 (step @p64 :rule refl :args (@t148)) % 0.37/0.59 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t148 (not @t147)))) % 0.37/0.59 (step @p66 :rule cnf_or_neg :args (@t148 0)) % 0.37/0.59 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.37/0.59 (step @p68 :rule reordering :premises (@p67) :args ((or @t142 @t148))) % 0.37/0.59 (step @p69 :rule chain_m_resolution :premises (@p68 @p62) :args (@t142 @t149 @t150)) % 0.37/0.59 (step @p70 :rule cnf_or_neg :args (@t148 1)) % 0.37/0.59 (step @p71 :rule chain_m_resolution :premises (@p70 @p62) :args (@t151 @t149 @t150)) % 0.37/0.59 (step @p72 :rule instantiate :premises (@p9) :args ((@list @t3 @t143))) % 0.37/0.59 (step @p73 :rule quant-unused-vars :args ((= @t155 (forall (@list @t152) @t153)))) % 0.37/0.59 (step @p74 :rule refl :args (@t158)) % 0.37/0.59 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((and @t158 @t155))) % 0.37/0.59 (step @p76 :rule alpha_equiv :args (@t160 @t161 (@list @t152 @t154))) % 0.37/0.59 (step @p77 :rule alpha_equiv :args (@t162 @t161 (@list @t156 @t157))) % 0.37/0.59 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t163)) % 0.37/0.59 (step @p79 :rule quant-miniscope-and :args ((= (forall @t36 (and @t34 @t159)) @t163))) % 0.37/0.59 (step @p80 :rule trans :premises (@p79 @p78)) % 0.37/0.59 (step @p81 :rule trans :premises (@p80 @p75)) % 0.37/0.59 (step @p82 :rule eq-symm :args (@t32 @t31)) % 0.37/0.59 (step @p83 :rule refl :args (@t34)) % 0.37/0.59 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t35)) % 0.37/0.59 (step @p85 :rule cong :premises (@p84) :args (@t37)) % 0.37/0.59 (step @p86 :rule trans :premises (@p85 @p81)) % 0.37/0.59 (step @p87 :rule eq_resolve :premises (@p12 @p86)) % 0.37/0.59 (step @p88 :rule and_elim :premises (@p87) :args (0)) % 0.37/0.59 (step @p89 :rule instantiate :premises (@p88) :args ((@list @t3 @t138))) % 0.37/0.59 (step @p90 :rule bool-impl-elim :args (@t16 @t13)) % 0.37/0.59 (step @p91 :rule cong :premises (@p90) :args (@t18)) % 0.37/0.59 (step @p92 :rule eq_resolve :premises (@p2 @p91)) % 0.37/0.59 (step @p93 :rule eq-symm :args (@t164 @t144)) % 0.37/0.59 (step @p94 :rule refl :args (@t147)) % 0.37/0.59 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t165)) % 0.37/0.59 (step @p96 :rule refl :args (@t166)) % 0.37/0.59 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t166 @t165))) % 0.37/0.59 (assume-push @p172 @t166) % 0.37/0.59 (step @p99 :rule instantiate :premises (@p92) :args (@t167)) % 0.37/0.59 (step-pop @p173 :rule scope :premises (@p99)) % 0.37/0.59 (step @p100 :rule process_scope :premises (@p173) :args (@t165)) % 0.37/0.59 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 0.37/0.59 (step @p103 :rule implies_elim :premises (@p102)) % 0.37/0.59 (step @p104 :rule chain_m_resolution :premises (@p103 @p92) :args (@t169 (@list false) (@list @t166))) % 0.37/0.59 (step @p105 :rule cnf_or_pos :args (@t169)) % 0.37/0.59 (step @p106 :rule reordering :premises (@p105) :args ((or @t147 @t168 (not @t169)))) % 0.37/0.59 (step @p107 :rule chain_m_resolution :premises (@p106 @p69 @p104) :args (@t168 @t170 (@list @t142 @t169))) % 0.37/0.59 (step @p108 :rule bool-impl-elim :args (@t16 @t171)) % 0.37/0.59 (step @p109 :rule cong :premises (@p108) :args ((forall @t17 (=> @t16 @t171)))) % 0.37/0.59 (step @p110 :rule eq-symm :args (@t19 @t12)) % 0.37/0.59 (step @p111 :rule refl :args (@t16)) % 0.37/0.59 (step @p112 :rule cong :premises (@p111 @p110) :args (@t20)) % 0.37/0.59 (step @p113 :rule cong :premises (@p112) :args (@t21)) % 0.37/0.59 (step @p114 :rule trans :premises (@p113 @p109)) % 0.37/0.59 (step @p115 :rule eq_resolve :premises (@p3 @p114)) % 0.37/0.59 (step @p116 :rule instantiate :premises (@p115) :args (@t167)) % 0.37/0.59 (step @p117 :rule cnf_or_pos :args (@t174)) % 0.37/0.59 (step @p118 :rule reordering :premises (@p117) :args ((or @t147 @t173 (not @t174)))) % 0.37/0.59 (step @p119 :rule chain_m_resolution :premises (@p118 @p69 @p116) :args (@t173 @t170 (@list @t142 @t174))) % 0.37/0.59 (step @p120 :rule refl :args (@t176)) % 0.37/0.59 (step @p121 :rule refl :args (@t179)) % 0.37/0.59 (step @p122 :rule refl :args (@t180)) % 0.37/0.59 (step @p123 :rule refl :args (@t181)) % 0.37/0.59 (step @p124 :rule bool-double-not-elim :args (@t146)) % 0.37/0.59 (step @p125 :rule nary_cong :premises (@p94 @p124 @p123 @p122 @p121 @p120) :args ((or @t147 (not @t151) @t181 @t180 @t179 @t176))) % 0.37/0.59 (assume-push @p174 @t175) % 0.37/0.59 (assume-push @p175 @t178) % 0.37/0.59 (assume-push @p176 @t182) % 0.37/0.59 (assume-push @p177 @t173) % 0.37/0.59 (assume-push @p178 @t168) % 0.37/0.59 (assume-push @p179 @t151) % 0.37/0.59 (step @p132 :rule evaluate :args ((= false true))) % 0.37/0.59 (step @p133 :rule symm :premises (@p89)) % 0.37/0.59 (step @p134 :rule refl :args (@t3)) % 0.37/0.59 (step @p135 :rule symm :premises (@p69)) % 0.37/0.59 (step @p136 :rule cong :premises (@p135 @p134) :args (@t172)) % 0.37/0.59 (step @p137 :rule trans :premises (@p107 @p119 @p136 @p133 @p72)) % 0.37/0.59 (step @p138 :rule symm :premises (@p137)) % 0.37/0.59 (step @p139 :rule trans :premises (@p72 @p138)) % 0.37/0.59 (step @p140 :rule true_intro :premises (@p139)) % 0.37/0.59 (step @p141 :rule false_intro :premises (@p71)) % 0.37/0.59 (step @p142 :rule symm :premises (@p141)) % 0.37/0.59 (step @p143 :rule trans :premises (@p142 @p140)) % 0.37/0.59 (step @p144 false :rule eq_resolve :premises (@p143 @p132)) % 0.37/0.59 (step-pop @p180 :rule scope :premises (@p144)) % 0.37/0.59 (step-pop @p181 :rule scope :premises (@p180)) % 0.37/0.59 (step-pop @p182 :rule scope :premises (@p181)) % 0.37/0.59 (step-pop @p183 :rule scope :premises (@p182)) % 0.37/0.59 (step-pop @p184 :rule scope :premises (@p183)) % 0.37/0.59 (step-pop @p185 :rule scope :premises (@p184)) % 0.37/0.59 (step @p145 :rule process_scope :premises (@p185) :args (false)) % 0.37/0.59 (assume-push @p186 @t142) % 0.37/0.59 (assume-push @p187 @t151) % 0.37/0.59 (assume-push @p188 @t168) % 0.37/0.59 (assume-push @p189 @t173) % 0.37/0.59 (assume-push @p190 @t178) % 0.37/0.59 (assume-push @p191 @t175) % 0.37/0.59 (step @p134 :rule refl :args (@t3)) % 0.37/0.59 (step @p135 :rule symm :premises (@p69)) % 0.37/0.59 (step @p158 :rule cong :premises (@p135 @p134) :args (@t172)) % 0.37/0.59 (step @p159 :rule and_intro :premises (@p72 @p89 @p158 @p119 @p107 @p71)) % 0.37/0.59 (step-pop @p192 :rule scope :premises (@p159)) % 0.37/0.59 (step-pop @p193 :rule scope :premises (@p192)) % 0.37/0.59 (step-pop @p194 :rule scope :premises (@p193)) % 0.37/0.59 (step-pop @p195 :rule scope :premises (@p194)) % 0.37/0.59 (step-pop @p196 :rule scope :premises (@p195)) % 0.37/0.59 (step-pop @p197 :rule scope :premises (@p196)) % 0.37/0.59 (step @p160 :rule process_scope :premises (@p197) :args (@t183)) % 0.37/0.59 (step @p167 :rule implies_elim :premises (@p160)) % 0.37/0.59 (step @p168 :rule resolution :premises (@p167 @p145) :args (true @t183)) % 0.37/0.59 (step @p169 :rule not_and :premises (@p168)) % 0.37/0.59 (step @p170 :rule eq_resolve :premises (@p169 @p125)) % 0.37/0.59 (step @p171 false :rule chain_m_resolution :premises (@p170 @p119 @p107 @p89 @p72 @p71 @p69) :args (false (@list false false false false true false) (@list @t173 @t168 @t178 @t175 @t146 @t142))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------