%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV453+1 : TPTP v9.2.1. Released v4.0.0. % 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 09:01:34 AM UTC 2026 % Result : Theorem 0.36s 0.70s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV453+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n025.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 20:18:46 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.70 % SZS status Theorem % 0.36/0.70 % SZS output start Proof % 0.36/0.70 ( % 0.36/0.70 (declare-sort $$unsorted 0) % 0.36/0.70 (declare-const tptp.status $$unsorted) % 0.36/0.70 (declare-const tptp.index (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.ordered (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.pidMsg (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.elec_1 $$unsorted) % 0.36/0.70 (declare-const tptp.zero $$unsorted) % 0.36/0.70 (declare-const tptp.elem (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.m_Ack (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.setEmpty $$unsorted) % 0.36/0.70 (declare-const tptp.elec_2 $$unsorted) % 0.36/0.70 (declare-const tptp.queue (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.nbr_proc $$unsorted) % 0.36/0.70 (declare-const tptp.ldr $$unsorted) % 0.36/0.70 (declare-const tptp.setIn (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.wait $$unsorted) % 0.36/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.elid $$unsorted) % 0.36/0.70 (declare-const tptp.norm $$unsorted) % 0.36/0.70 (declare-const tptp.m_Ldr (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.host (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.pids $$unsorted) % 0.36/0.70 (declare-const tptp.pidElem (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.m_Down (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.last (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.m_NotNorm (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.m_Halt (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.alive $$unsorted) % 0.36/0.70 (declare-const tptp.nil $$unsorted) % 0.36/0.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.snoc (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.init (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.m_NormQ (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.q_nil $$unsorted) % 0.36/0.70 (define @t1 () (@var "Pid2" $$unsorted)) % 0.36/0.70 (define @t2 () (@var "Pid" $$unsorted)) % 0.36/0.70 (define @t3 () (tptp.host @t2)) % 0.36/0.70 (define @t4 () (@list @t2 @t1)) % 0.36/0.70 (define @t5 () (@var "Q" $$unsorted)) % 0.36/0.70 (define @t6 () (tptp.host @t5)) % 0.36/0.70 (define @t7 () (@var "P" $$unsorted)) % 0.36/0.70 (define @t8 () (tptp.host @t7)) % 0.36/0.70 (define @t9 () (tptp.s tptp.zero)) % 0.36/0.70 (define @t10 () (@list @t7)) % 0.36/0.70 (define @t11 () (@var "Z" $$unsorted)) % 0.36/0.70 (define @t12 () (@var "Y" $$unsorted)) % 0.36/0.70 (define @t13 () (@var "X" $$unsorted)) % 0.36/0.70 (define @t14 () (tptp.m_Ack @t13 @t12)) % 0.36/0.70 (define @t15 () (@list @t13 @t12 @t11)) % 0.36/0.70 (define @t16 () (tptp.m_Halt @t12)) % 0.36/0.70 (define @t17 () (tptp.m_NotNorm @t13)) % 0.36/0.70 (define @t18 () (@list @t13 @t12)) % 0.36/0.70 (define @t19 () (tptp.m_Down @t13)) % 0.36/0.70 (define @t20 () (tptp.m_Ldr @t12)) % 0.36/0.70 (define @t21 () (tptp.m_NotNorm @t12)) % 0.36/0.70 (define @t22 () (tptp.m_NormQ @t12)) % 0.36/0.70 (define @t23 () (tptp.m_NormQ @t13)) % 0.36/0.70 (define @t24 () (tptp.m_Ldr @t13)) % 0.36/0.70 (define @t25 () (tptp.m_Halt @t13)) % 0.36/0.70 (define @t26 () (= @t13 @t12)) % 0.36/0.70 (define @t27 () (not @t26)) % 0.36/0.70 (define @t28 () (tptp.m_Down @t12)) % 0.36/0.70 (define @t29 () (@var "Y2" $$unsorted)) % 0.36/0.70 (define @t30 () (@var "X2" $$unsorted)) % 0.36/0.70 (define @t31 () (@var "Y1" $$unsorted)) % 0.36/0.70 (define @t32 () (@var "X1" $$unsorted)) % 0.36/0.70 (define @t33 () (not (= (tptp.m_Ack @t32 @t31) (tptp.m_Ack @t30 @t29)))) % 0.36/0.70 (define @t34 () (@list @t32 @t30 @t31 @t29)) % 0.36/0.70 (define @t35 () (tptp.cons @t13 @t5)) % 0.36/0.70 (define @t36 () (@list @t13 @t5)) % 0.36/0.70 (define @t37 () (tptp.snoc @t5 @t12)) % 0.36/0.70 (define @t38 () (@list @t12 @t5)) % 0.36/0.70 (define @t39 () (= @t5 tptp.q_nil)) % 0.36/0.70 (define @t40 () (@list @t5)) % 0.36/0.70 (define @t41 () (tptp.snoc tptp.q_nil @t13)) % 0.36/0.70 (define @t42 () (tptp.cons @t13 tptp.q_nil)) % 0.36/0.70 (define @t43 () (@list @t13)) % 0.36/0.70 (define @t44 () (@list @t13 @t12 @t5)) % 0.36/0.70 (define @t45 () (or @t26 (tptp.elem @t13 @t5))) % 0.36/0.70 (define @t46 () (forall @t44 (= (tptp.elem @t13 (tptp.cons @t12 @t5)) @t45))) % 0.36/0.70 (define @t47 () (@list @t12)) % 0.36/0.70 (define @t48 () (tptp.pidElem @t13)) % 0.36/0.70 (define @t49 () (tptp.pidMsg @t12)) % 0.36/0.70 (define @t50 () (tptp.pidMsg @t13)) % 0.36/0.70 (define @t51 () (and (tptp.elem @t12 @t5) @t48 (tptp.pidElem @t12) (= (tptp.host @t49) (tptp.host @t50)))) % 0.36/0.70 (define @t52 () (tptp.ordered @t5)) % 0.36/0.70 (define @t53 () (@list @t5 @t13 @t12)) % 0.36/0.70 (define @t54 () (tptp.leq @t13 @t12)) % 0.36/0.70 (define @t55 () (tptp.host @t12)) % 0.36/0.70 (define @t56 () (tptp.host @t13)) % 0.36/0.70 (define @t57 () (tptp.s @t13)) % 0.36/0.70 (define @t58 () (tptp.leq @t12 @t13)) % 0.36/0.70 (define @t59 () (tptp.s @t12)) % 0.36/0.70 (define @t60 () (tptp.host @t11)) % 0.36/0.70 (define @t61 () (tptp.queue @t60)) % 0.36/0.70 (define @t62 () (@var "Z0" $$unsorted)) % 0.36/0.70 (define @t63 () (tptp.elem (tptp.m_Down @t62) @t61)) % 0.36/0.70 (define @t64 () (@var "V" $$unsorted)) % 0.36/0.70 (define @t65 () (@var "X0" $$unsorted)) % 0.36/0.70 (define @t66 () (tptp.elem (tptp.m_Down @t65) @t64)) % 0.36/0.70 (define @t67 () (not (and @t66 @t63))) % 0.36/0.70 (define @t68 () (@var "Y0" $$unsorted)) % 0.36/0.70 (define @t69 () (tptp.host @t68)) % 0.36/0.70 (define @t70 () (tptp.host @t62)) % 0.36/0.70 (define @t71 () (tptp.host @t65)) % 0.36/0.70 (define @t72 () (not (= @t69 @t60))) % 0.36/0.70 (define @t73 () (@var "W" $$unsorted)) % 0.36/0.70 (define @t74 () (tptp.setIn @t68 tptp.alive)) % 0.36/0.70 (define @t75 () (not (= @t68 @t13))) % 0.36/0.70 (define @t76 () (and @t75 @t74)) % 0.36/0.70 (define @t77 () (or @t76 (= @t68 @t73))) % 0.36/0.70 (define @t78 () (= @t11 @t73)) % 0.36/0.70 (define @t79 () (tptp.setIn @t11 tptp.alive)) % 0.36/0.70 (define @t80 () (not (= @t11 @t13))) % 0.36/0.70 (define @t81 () (and @t80 @t79)) % 0.36/0.70 (define @t82 () (or @t81 @t78)) % 0.36/0.70 (define @t83 () (and @t82 @t77 @t72 (= @t71 @t60) (= @t70 @t69))) % 0.36/0.70 (define @t84 () (=> @t83 @t67)) % 0.36/0.70 (define @t85 () (@list @t62)) % 0.36/0.70 (define @t86 () (forall @t85 @t84)) % 0.36/0.70 (define @t87 () (= @t56 @t69)) % 0.36/0.70 (define @t88 () (=> @t87 @t86)) % 0.36/0.70 (define @t89 () (@list @t65 @t68)) % 0.36/0.70 (define @t90 () (forall @t89 @t88)) % 0.36/0.70 (define @t91 () (= @t56 @t60)) % 0.36/0.70 (define @t92 () (not @t91)) % 0.36/0.70 (define @t93 () (=> @t92 @t90)) % 0.36/0.70 (define @t94 () (@list @t11)) % 0.36/0.70 (define @t95 () (forall @t94 @t93)) % 0.36/0.70 (define @t96 () (tptp.host @t73)) % 0.36/0.70 (define @t97 () (not (= @t96 @t9))) % 0.36/0.70 (define @t98 () (=> @t97 @t95)) % 0.36/0.70 (define @t99 () (= @t56 @t96)) % 0.36/0.70 (define @t100 () (tptp.setIn @t73 tptp.pids)) % 0.36/0.70 (define @t101 () (not @t100)) % 0.36/0.70 (define @t102 () (tptp.leq @t11 @t73)) % 0.36/0.70 (define @t103 () (forall @t94 (=> @t91 @t102))) % 0.36/0.70 (define @t104 () (and @t103 @t101 @t99)) % 0.36/0.70 (define @t105 () (=> @t104 @t98)) % 0.36/0.70 (define @t106 () (= @t55 (tptp.host (tptp.index tptp.elid @t56)))) % 0.36/0.70 (define @t107 () (tptp.index tptp.status @t56)) % 0.36/0.70 (define @t108 () (and (= @t107 tptp.wait) @t106)) % 0.36/0.70 (define @t109 () (tptp.index tptp.ldr @t56)) % 0.36/0.70 (define @t110 () (and (= @t109 @t55) (= @t107 tptp.norm))) % 0.36/0.70 (define @t111 () (or @t110 @t108)) % 0.36/0.70 (define @t112 () (=> @t111 @t105)) % 0.36/0.70 (define @t113 () (tptp.leq @t56 @t55)) % 0.36/0.70 (define @t114 () (not @t113)) % 0.36/0.70 (define @t115 () (=> @t114 @t112)) % 0.36/0.70 (define @t116 () (tptp.setIn @t13 tptp.alive)) % 0.36/0.70 (define @t117 () (=> @t116 @t115)) % 0.36/0.70 (define @t118 () (= (tptp.queue @t56) (tptp.cons @t28 @t64))) % 0.36/0.70 (define @t119 () (@var "Pid20" $$unsorted)) % 0.36/0.70 (define @t120 () (tptp.host @t119)) % 0.36/0.70 (define @t121 () (tptp.queue @t120)) % 0.36/0.70 (define @t122 () (@var "Pid30" $$unsorted)) % 0.36/0.70 (define @t123 () (tptp.elem (tptp.m_Down @t122) @t121)) % 0.36/0.70 (define @t124 () (@var "Pid0" $$unsorted)) % 0.36/0.70 (define @t125 () (tptp.elem (tptp.m_Down @t124) @t61)) % 0.36/0.70 (define @t126 () (not (and @t125 @t123))) % 0.36/0.70 (define @t127 () (tptp.host @t124)) % 0.36/0.70 (define @t128 () (= @t127 @t120)) % 0.36/0.70 (define @t129 () (tptp.host @t122)) % 0.36/0.70 (define @t130 () (tptp.setIn @t119 tptp.alive)) % 0.36/0.70 (define @t131 () (not (= @t120 @t60))) % 0.36/0.70 (define @t132 () (and @t131 @t79 @t130 (= @t129 @t60) @t128)) % 0.36/0.70 (define @t133 () (=> @t132 @t126)) % 0.36/0.70 (define @t134 () (@list @t11 @t122 @t119 @t124)) % 0.36/0.70 (define @t135 () (forall @t134 @t133)) % 0.36/0.70 (define @t136 () (tptp.setIn @t124 tptp.alive)) % 0.36/0.70 (define @t137 () (not @t136)) % 0.36/0.70 (define @t138 () (not @t79)) % 0.36/0.70 (define @t139 () (or @t138 @t137)) % 0.36/0.70 (define @t140 () (= @t127 @t60)) % 0.36/0.70 (define @t141 () (not (= @t124 @t11))) % 0.36/0.70 (define @t142 () (and @t141 @t140)) % 0.36/0.70 (define @t143 () (=> @t142 @t139)) % 0.36/0.70 (define @t144 () (@list @t11 @t124)) % 0.36/0.70 (define @t145 () (forall @t144 @t143)) % 0.36/0.70 (define @t146 () (tptp.leq @t124 @t11)) % 0.36/0.70 (define @t147 () (and @t138 @t146 @t140)) % 0.36/0.70 (define @t148 () (=> @t147 @t137)) % 0.36/0.70 (define @t149 () (forall @t144 @t148)) % 0.36/0.70 (define @t150 () (not (tptp.leq @t60 @t127))) % 0.36/0.70 (define @t151 () (tptp.elem (tptp.m_Ack @t124 @t11) @t121)) % 0.36/0.70 (define @t152 () (@list @t11 @t119 @t124)) % 0.36/0.70 (define @t153 () (forall @t152 (=> @t151 @t150))) % 0.36/0.70 (define @t154 () (tptp.elem (tptp.m_Halt @t124) @t61)) % 0.36/0.70 (define @t155 () (forall @t144 (=> @t154 @t150))) % 0.36/0.70 (define @t156 () (not @t140)) % 0.36/0.70 (define @t157 () (=> @t125 @t156)) % 0.36/0.70 (define @t158 () (forall @t144 @t157)) % 0.36/0.70 (define @t159 () (forall @t144 (=> @t125 @t137))) % 0.36/0.70 (define @t160 () (not @t125)) % 0.36/0.70 (define @t161 () (forall @t144 (=> @t136 @t160))) % 0.36/0.70 (define @t162 () (and @t161 @t159 @t158 @t155 @t153 @t149 @t145 @t135 @t118)) % 0.36/0.70 (define @t163 () (=> @t162 @t117)) % 0.36/0.70 (define @t164 () (@list @t64 @t73 @t13 @t12)) % 0.36/0.70 (define @t165 () (forall @t164 @t163)) % 0.36/0.70 (define @t166 () (not @t165)) % 0.36/0.70 (define @t167 () (@var "BOUND_VARIABLE_8304" $$unsorted)) % 0.36/0.70 (define @t168 () (not (tptp.elem (tptp.m_Down @t167) @t64))) % 0.36/0.70 (define @t169 () (@var "BOUND_VARIABLE_8298" $$unsorted)) % 0.36/0.70 (define @t170 () (tptp.host @t169)) % 0.36/0.70 (define @t171 () (not (= @t170 (tptp.host @t167)))) % 0.36/0.70 (define @t172 () (@var "BOUND_VARIABLE_8302" $$unsorted)) % 0.36/0.70 (define @t173 () (not (tptp.elem (tptp.m_Down @t172) (tptp.queue @t170)))) % 0.36/0.70 (define @t174 () (@var "BOUND_VARIABLE_8300" $$unsorted)) % 0.36/0.70 (define @t175 () (tptp.host @t174)) % 0.36/0.70 (define @t176 () (not (= @t175 (tptp.host @t172)))) % 0.36/0.70 (define @t177 () (= @t170 @t175)) % 0.36/0.70 (define @t178 () (and (or (= @t13 @t174) (not (tptp.setIn @t174 tptp.alive))) (not (= @t73 @t174)))) % 0.36/0.70 (define @t179 () (not (= @t56 @t175))) % 0.36/0.70 (define @t180 () (not (= @t169 @t73))) % 0.36/0.70 (define @t181 () (or (= @t13 @t169) (not (tptp.setIn @t169 tptp.alive)))) % 0.36/0.70 (define @t182 () (and @t181 @t180)) % 0.36/0.70 (define @t183 () (= @t56 @t170)) % 0.36/0.70 (define @t184 () (= @t9 @t96)) % 0.36/0.70 (define @t185 () (not @t99)) % 0.36/0.70 (define @t186 () (forall @t94 (or @t92 @t102))) % 0.36/0.70 (define @t187 () (not @t186)) % 0.36/0.70 (define @t188 () (= tptp.wait @t107)) % 0.36/0.70 (define @t189 () (= tptp.norm @t107)) % 0.36/0.70 (define @t190 () (= @t55 @t109)) % 0.36/0.70 (define @t191 () (and (or (not @t190) (not @t189)) (or (not @t188) (not @t106)))) % 0.36/0.70 (define @t192 () (not @t116)) % 0.36/0.70 (define @t193 () (not @t118)) % 0.36/0.70 (define @t194 () (or @t193 @t192 @t113 @t191 @t187 @t100 @t185 @t184 @t183 @t182 @t179 @t178 @t177 @t176 @t173 @t171 @t168)) % 0.36/0.70 (define @t195 () (or @t183 @t182 @t179 @t178 @t177 @t176 @t173 @t171 @t168)) % 0.36/0.70 (define @t196 () (or @t193 @t192 @t113 @t191 @t187 @t100 @t185 @t184 @t195)) % 0.36/0.70 (define @t197 () (@list @t64 @t73 @t13 @t12 @t169 @t174 @t172 @t167)) % 0.36/0.70 (define @t198 () (forall @t197 @t196)) % 0.36/0.70 (define @t199 () (@list @t169 @t174 @t172 @t167)) % 0.36/0.70 (define @t200 () (forall @t199 @t196)) % 0.36/0.70 (define @t201 () (forall @t199 @t195)) % 0.36/0.70 (define @t202 () (@var "BOUND_VARIABLE_8241" $$unsorted)) % 0.36/0.70 (define @t203 () (@var "BOUND_VARIABLE_8221" $$unsorted)) % 0.36/0.70 (define @t204 () (@var "BOUND_VARIABLE_8219" $$unsorted)) % 0.36/0.70 (define @t205 () (or @t193 @t192 @t113 @t191 @t187 @t100 @t185 @t184 @t201)) % 0.36/0.70 (define @t206 () (not (tptp.elem (tptp.m_Down @t202) @t64))) % 0.36/0.70 (define @t207 () (not (= @t60 (tptp.host @t202)))) % 0.36/0.70 (define @t208 () (not (tptp.elem (tptp.m_Down @t203) @t61))) % 0.36/0.70 (define @t209 () (tptp.host @t204)) % 0.36/0.70 (define @t210 () (not (= @t209 (tptp.host @t203)))) % 0.36/0.70 (define @t211 () (= @t60 @t209)) % 0.36/0.70 (define @t212 () (and (or (= @t13 @t204) (not (tptp.setIn @t204 tptp.alive))) (not (= @t73 @t204)))) % 0.36/0.70 (define @t213 () (not (= @t56 @t209))) % 0.36/0.70 (define @t214 () (not @t78)) % 0.36/0.70 (define @t215 () (= @t13 @t11)) % 0.36/0.70 (define @t216 () (and (or @t215 @t138) @t214)) % 0.36/0.70 (define @t217 () (or @t91 @t216 @t213 @t212 @t211 @t210 @t208 @t207 @t206)) % 0.36/0.70 (define @t218 () (@list @t11 @t204 @t203 @t202)) % 0.36/0.70 (define @t219 () (forall @t218 @t217)) % 0.36/0.70 (define @t220 () (or @t193 @t192 @t113 @t191 @t187 @t100 @t185 @t184 @t219)) % 0.36/0.70 (define @t221 () (forall @t164 @t220)) % 0.36/0.70 (define @t222 () (not @t123)) % 0.36/0.70 (define @t223 () (not @t128)) % 0.36/0.70 (define @t224 () (= @t60 @t129)) % 0.36/0.70 (define @t225 () (not @t224)) % 0.36/0.70 (define @t226 () (not @t130)) % 0.36/0.70 (define @t227 () (= @t60 @t120)) % 0.36/0.70 (define @t228 () (or @t227 @t138 @t226 @t225 @t223 @t160 @t222)) % 0.36/0.70 (define @t229 () (forall @t134 @t228)) % 0.36/0.70 (define @t230 () (not @t229)) % 0.36/0.70 (define @t231 () (= @t60 @t127)) % 0.36/0.70 (define @t232 () (not @t231)) % 0.36/0.70 (define @t233 () (= @t11 @t124)) % 0.36/0.70 (define @t234 () (or @t233 @t232 @t138 @t137)) % 0.36/0.70 (define @t235 () (forall @t144 @t234)) % 0.36/0.70 (define @t236 () (not @t235)) % 0.36/0.70 (define @t237 () (not @t146)) % 0.36/0.70 (define @t238 () (or @t79 @t237 @t232 @t137)) % 0.36/0.70 (define @t239 () (forall @t144 @t238)) % 0.36/0.70 (define @t240 () (not @t239)) % 0.36/0.70 (define @t241 () (forall @t152 (or (not @t151) @t150))) % 0.36/0.70 (define @t242 () (not @t241)) % 0.36/0.70 (define @t243 () (forall @t144 (or (not @t154) @t150))) % 0.36/0.70 (define @t244 () (not @t243)) % 0.36/0.70 (define @t245 () (forall @t144 (or @t160 @t232))) % 0.36/0.70 (define @t246 () (not @t245)) % 0.36/0.70 (define @t247 () (forall @t144 (or @t160 @t137))) % 0.36/0.70 (define @t248 () (not @t247)) % 0.36/0.70 (define @t249 () (forall @t144 (or @t137 @t160))) % 0.36/0.70 (define @t250 () (not @t249)) % 0.36/0.70 (define @t251 () (or @t250 @t248 @t246 @t244 @t242 @t240 @t236 @t230 @t221)) % 0.36/0.70 (define @t252 () (or @t250 @t248 @t246 @t244 @t242 @t240 @t236 @t230 @t220)) % 0.36/0.70 (define @t253 () (or @t250 @t248 @t246 @t244 @t242 @t240 @t236 @t230 @t193 @t192 @t113 @t191 @t187 @t100 @t185 @t184 @t219)) % 0.36/0.70 (define @t254 () (or @t192 @t113 @t191 @t187 @t100 @t185 @t184 @t219)) % 0.36/0.70 (define @t255 () (or @t250 @t248 @t246 @t244 @t242 @t240 @t236 @t230 @t193)) % 0.36/0.70 (define @t256 () (or @t113 @t191 @t187 @t100 @t185 @t184 @t219)) % 0.36/0.70 (define @t257 () (or @t191 @t187 @t100 @t185 @t184 @t219)) % 0.36/0.70 (define @t258 () (or @t187 @t100 @t185 @t184 @t219)) % 0.36/0.70 (define @t259 () (not @t184)) % 0.36/0.70 (define @t260 () (not @t101)) % 0.36/0.70 (define @t261 () (or @t187 @t260 @t185)) % 0.36/0.70 (define @t262 () (=> @t259 @t219)) % 0.36/0.70 (define @t263 () (and @t186 @t101 @t99)) % 0.36/0.70 (define @t264 () (and @t188 @t106)) % 0.36/0.70 (define @t265 () (and @t190 @t189)) % 0.36/0.70 (define @t266 () (=> @t263 @t262)) % 0.36/0.70 (define @t267 () (or @t265 @t264)) % 0.36/0.70 (define @t268 () (=> @t267 @t266)) % 0.36/0.70 (define @t269 () (=> @t114 @t268)) % 0.36/0.70 (define @t270 () (=> @t116 @t269)) % 0.36/0.70 (define @t271 () (and @t249 @t247 @t245 @t243 @t241 @t239 @t235 @t229 @t118)) % 0.36/0.70 (define @t272 () (or @t207 @t206)) % 0.36/0.70 (define @t273 () (or @t213 @t212 @t211 @t210 @t208)) % 0.36/0.70 (define @t274 () (or @t91 @t216 @t273 @t272)) % 0.36/0.70 (define @t275 () (forall @t218 @t274)) % 0.36/0.70 (define @t276 () (forall (@list @t204 @t203 @t202) @t274)) % 0.36/0.70 (define @t277 () (forall (@list @t202) @t272)) % 0.36/0.70 (define @t278 () (forall (@list @t204 @t203) @t273)) % 0.36/0.70 (define @t279 () (@var "BOUND_VARIABLE_8200" $$unsorted)) % 0.36/0.70 (define @t280 () (or @t91 @t216 @t278 @t277)) % 0.36/0.70 (define @t281 () (not @t66)) % 0.36/0.70 (define @t282 () (= @t60 @t71)) % 0.36/0.70 (define @t283 () (not @t282)) % 0.36/0.70 (define @t284 () (or @t283 @t281)) % 0.36/0.70 (define @t285 () (forall (@list @t65) @t284)) % 0.36/0.70 (define @t286 () (not (tptp.elem (tptp.m_Down @t279) @t61))) % 0.36/0.70 (define @t287 () (not (= @t69 (tptp.host @t279)))) % 0.36/0.70 (define @t288 () (= @t60 @t69)) % 0.36/0.70 (define @t289 () (= @t73 @t68)) % 0.36/0.70 (define @t290 () (not @t289)) % 0.36/0.70 (define @t291 () (not @t74)) % 0.36/0.70 (define @t292 () (= @t13 @t68)) % 0.36/0.70 (define @t293 () (and (or @t292 @t291) @t290)) % 0.36/0.70 (define @t294 () (not @t87)) % 0.36/0.70 (define @t295 () (or @t294 @t293 @t288 @t287 @t286)) % 0.36/0.70 (define @t296 () (@list @t68 @t279)) % 0.36/0.70 (define @t297 () (forall @t296 @t295)) % 0.36/0.70 (define @t298 () (or @t91 @t216 @t297 @t285)) % 0.36/0.70 (define @t299 () (or @t216 @t297 @t285)) % 0.36/0.70 (define @t300 () (or @t287 @t286)) % 0.36/0.70 (define @t301 () (or @t294 @t293 @t288 @t300)) % 0.36/0.70 (define @t302 () (forall @t296 @t301)) % 0.36/0.70 (define @t303 () (@list @t279)) % 0.36/0.70 (define @t304 () (forall @t303 @t301)) % 0.36/0.70 (define @t305 () (@list @t68)) % 0.36/0.70 (define @t306 () (forall @t303 @t300)) % 0.36/0.70 (define @t307 () (or @t294 @t293 @t288 @t306)) % 0.36/0.70 (define @t308 () (not @t63)) % 0.36/0.70 (define @t309 () (= @t69 @t70)) % 0.36/0.70 (define @t310 () (not @t309)) % 0.36/0.70 (define @t311 () (or @t310 @t308)) % 0.36/0.70 (define @t312 () (forall @t85 @t311)) % 0.36/0.70 (define @t313 () (or @t294 @t293 @t288 @t312)) % 0.36/0.70 (define @t314 () (forall @t305 @t313)) % 0.36/0.70 (define @t315 () (or @t216 @t314 @t285)) % 0.36/0.70 (define @t316 () (or @t216 @t313 @t284)) % 0.36/0.70 (define @t317 () (@list @t68 @t65)) % 0.36/0.70 (define @t318 () (or @t294 @t216 @t293 @t288 @t283 @t281 @t312)) % 0.36/0.70 (define @t319 () (forall @t317 @t318)) % 0.36/0.70 (define @t320 () (or @t216 @t293 @t288 @t283 @t281 @t312)) % 0.36/0.70 (define @t321 () (or @t216 @t293 @t288 @t283 @t281 @t311)) % 0.36/0.70 (define @t322 () (or @t216 @t293 @t288 @t283 @t310 @t281 @t308)) % 0.36/0.70 (define @t323 () (not @t292)) % 0.36/0.70 (define @t324 () (and @t323 @t74)) % 0.36/0.70 (define @t325 () (not @t215)) % 0.36/0.70 (define @t326 () (and @t325 @t79)) % 0.36/0.70 (define @t327 () (or @t324 @t289)) % 0.36/0.70 (define @t328 () (not @t327)) % 0.36/0.70 (define @t329 () (or @t326 @t78)) % 0.36/0.70 (define @t330 () (not @t329)) % 0.36/0.70 (define @t331 () (not @t288)) % 0.36/0.70 (define @t332 () (not @t331)) % 0.36/0.70 (define @t333 () (or @t330 @t328 @t332 @t283 @t310)) % 0.36/0.70 (define @t334 () (and @t329 @t327 @t331 @t282 @t309)) % 0.36/0.70 (define @t335 () (not @t227)) % 0.36/0.70 (define @t336 () (not @t335)) % 0.36/0.70 (define @t337 () (or @t336 @t138 @t226 @t225 @t223)) % 0.36/0.70 (define @t338 () (and @t335 @t79 @t130 @t224 @t128)) % 0.36/0.70 (define @t339 () (not @t233)) % 0.36/0.70 (define @t340 () (and @t339 @t231)) % 0.36/0.70 (define @t341 () (not @t138)) % 0.36/0.70 (define @t342 () (or @t341 @t237 @t232)) % 0.36/0.70 (define @t343 () (and @t138 @t146 @t231)) % 0.36/0.70 (define @t344 () (forall @t197 (or @t193 @t192 @t113 @t191 @t187 @t100 @t185 @t184 @t183 (and @t181 (not (= @t73 @t169))) @t179 @t178 @t177 @t176 @t173 @t171 @t168))) % 0.36/0.70 (define @t345 () (@quantifiers_skolemize @t344 0)) % 0.36/0.70 (define @t346 () (@quantifiers_skolemize @t344 7)) % 0.36/0.70 (define @t347 () (tptp.m_Down @t346)) % 0.36/0.70 (define @t348 () (tptp.elem @t347 @t345)) % 0.36/0.70 (define @t349 () (not @t348)) % 0.36/0.70 (define @t350 () (tptp.host @t346)) % 0.36/0.70 (define @t351 () (@quantifiers_skolemize @t344 4)) % 0.36/0.70 (define @t352 () (tptp.host @t351)) % 0.36/0.70 (define @t353 () (= @t352 @t350)) % 0.36/0.70 (define @t354 () (not @t353)) % 0.36/0.70 (define @t355 () (@quantifiers_skolemize @t344 6)) % 0.36/0.70 (define @t356 () (tptp.elem (tptp.m_Down @t355) (tptp.queue @t352))) % 0.36/0.70 (define @t357 () (not @t356)) % 0.36/0.70 (define @t358 () (tptp.host @t355)) % 0.36/0.70 (define @t359 () (@quantifiers_skolemize @t344 5)) % 0.36/0.70 (define @t360 () (tptp.host @t359)) % 0.36/0.70 (define @t361 () (= @t360 @t358)) % 0.36/0.70 (define @t362 () (not @t361)) % 0.36/0.70 (define @t363 () (= @t352 @t360)) % 0.36/0.70 (define @t364 () (@quantifiers_skolemize @t344 1)) % 0.36/0.70 (define @t365 () (@quantifiers_skolemize @t344 2)) % 0.36/0.70 (define @t366 () (and (or (= @t365 @t359) (not (tptp.setIn @t359 tptp.alive))) (not (= @t364 @t359)))) % 0.36/0.70 (define @t367 () (tptp.host @t365)) % 0.36/0.70 (define @t368 () (= @t367 @t360)) % 0.36/0.70 (define @t369 () (not @t368)) % 0.36/0.70 (define @t370 () (= @t364 @t351)) % 0.36/0.70 (define @t371 () (not @t370)) % 0.36/0.70 (define @t372 () (tptp.setIn @t351 tptp.alive)) % 0.36/0.70 (define @t373 () (not @t372)) % 0.36/0.70 (define @t374 () (or (= @t365 @t351) @t373)) % 0.36/0.70 (define @t375 () (and @t374 @t371)) % 0.36/0.70 (define @t376 () (= @t367 @t352)) % 0.36/0.70 (define @t377 () (tptp.host @t364)) % 0.36/0.70 (define @t378 () (= @t9 @t377)) % 0.36/0.70 (define @t379 () (= @t367 @t377)) % 0.36/0.70 (define @t380 () (not @t379)) % 0.36/0.70 (define @t381 () (tptp.setIn @t364 tptp.pids)) % 0.36/0.70 (define @t382 () (tptp.leq @t11 @t364)) % 0.36/0.70 (define @t383 () (@quantifiers_skolemize @t344 3)) % 0.36/0.70 (define @t384 () (tptp.host @t383)) % 0.36/0.70 (define @t385 () (tptp.index tptp.status @t367)) % 0.36/0.70 (define @t386 () (and (or (not (= @t384 (tptp.index tptp.ldr @t367))) (not (= tptp.norm @t385))) (or (not (= tptp.wait @t385)) (not (= @t384 (tptp.host (tptp.index tptp.elid @t367))))))) % 0.36/0.70 (define @t387 () (tptp.leq @t367 @t384)) % 0.36/0.70 (define @t388 () (tptp.setIn @t365 tptp.alive)) % 0.36/0.70 (define @t389 () (not @t388)) % 0.36/0.70 (define @t390 () (tptp.m_Down @t383)) % 0.36/0.70 (define @t391 () (tptp.cons @t390 @t345)) % 0.36/0.70 (define @t392 () (tptp.queue @t367)) % 0.36/0.70 (define @t393 () (= @t392 @t391)) % 0.36/0.70 (define @t394 () (not @t393)) % 0.36/0.70 (define @t395 () (or @t394 @t389 @t387 @t386 (not (forall @t94 (or (not (= @t60 @t367)) @t382))) @t381 @t380 @t378 @t376 @t375 @t369 @t366 @t363 @t362 @t357 @t354 @t349)) % 0.36/0.70 (define @t396 () (not @t395)) % 0.36/0.70 (define @t397 () (not @t344)) % 0.36/0.70 (define @t398 () (not (= @t367 @t60))) % 0.36/0.70 (define @t399 () (or @t398 @t382)) % 0.36/0.70 (define @t400 () (forall @t94 @t399)) % 0.36/0.70 (define @t401 () (not @t400)) % 0.36/0.70 (define @t402 () (or @t394 @t389 @t387 @t386 @t401 @t381 @t380 @t378 @t376 @t375 @t369 @t366 @t363 @t362 @t357 @t354 @t349)) % 0.36/0.70 (define @t403 () (not @t402)) % 0.36/0.70 (define @t404 () (@list true)) % 0.36/0.70 (define @t405 () (@list @t395)) % 0.36/0.70 (define @t406 () (tptp.elem @t347 @t392)) % 0.36/0.70 (define @t407 () (not @t406)) % 0.36/0.70 (define @t408 () (not (= @t350 @t352))) % 0.36/0.70 (define @t409 () (= @t367 @t358)) % 0.36/0.70 (define @t410 () (not @t409)) % 0.36/0.70 (define @t411 () (or @t376 @t389 @t373 @t410 @t408 @t407 @t357)) % 0.36/0.70 (define @t412 () (or @t376 @t389 @t373 @t410 @t354 @t407 @t357)) % 0.36/0.70 (define @t413 () (@list false)) % 0.36/0.70 (define @t414 () (or (= @t347 @t390) @t348)) % 0.36/0.70 (define @t415 () (tptp.elem @t347 @t391)) % 0.36/0.70 (define @t416 () (= @t415 @t414)) % 0.36/0.70 (define @t417 () (or (= @t390 @t347) @t348)) % 0.36/0.70 (define @t418 () (= @t415 @t417)) % 0.36/0.70 (define @t419 () (tptp.queue @t358)) % 0.36/0.70 (define @t420 () (not @t374)) % 0.36/0.70 (define @t421 () (and @t379 @t370 @t368)) % 0.36/0.70 (assume @p1 (forall @t4 (=> (tptp.elem (tptp.m_Ack @t2 @t1) (tptp.queue @t3)) (and (tptp.setIn @t2 tptp.pids) (tptp.setIn @t1 tptp.pids))))) % 0.36/0.70 (assume @p2 (forall (@list @t7 @t5) (=> (= (tptp.s @t8) @t6) (not (= @t8 @t6))))) % 0.36/0.70 (assume @p3 (forall @t10 (tptp.leq @t9 @t8))) % 0.36/0.70 (assume @p4 (tptp.leq @t9 tptp.nbr_proc)) % 0.36/0.70 (assume @p5 (forall @t10 (tptp.leq @t8 tptp.nbr_proc))) % 0.36/0.70 (assume @p6 (not (= tptp.elec_1 tptp.elec_2))) % 0.36/0.70 (assume @p7 (not (= tptp.elec_1 tptp.wait))) % 0.36/0.70 (assume @p8 (not (= tptp.elec_1 tptp.norm))) % 0.36/0.70 (assume @p9 (not (= tptp.elec_2 tptp.wait))) % 0.36/0.70 (assume @p10 (not (= tptp.elec_2 tptp.norm))) % 0.36/0.70 (assume @p11 (not (= tptp.norm tptp.wait))) % 0.36/0.70 (assume @p12 (forall @t15 (not (= @t14 (tptp.m_Halt @t11))))) % 0.36/0.70 (assume @p13 (forall @t15 (not (= @t14 (tptp.m_Down @t11))))) % 0.36/0.70 (assume @p14 (forall @t15 (not (= @t14 (tptp.m_NotNorm @t11))))) % 0.36/0.70 (assume @p15 (forall @t15 (not (= @t14 (tptp.m_Ldr @t11))))) % 0.36/0.70 (assume @p16 (forall @t15 (not (= @t14 (tptp.m_NormQ @t11))))) % 0.36/0.70 (assume @p17 (forall @t18 (not (= @t17 @t16)))) % 0.36/0.70 (assume @p18 (forall @t18 (not (= @t19 @t16)))) % 0.36/0.70 (assume @p19 (forall @t18 (not (= @t19 @t20)))) % 0.36/0.70 (assume @p20 (forall @t18 (not (= @t19 @t21)))) % 0.36/0.70 (assume @p21 (forall @t18 (not (= @t19 @t22)))) % 0.36/0.70 (assume @p22 (forall @t18 (not (= @t23 @t16)))) % 0.36/0.70 (assume @p23 (forall @t18 (not (= @t24 @t16)))) % 0.36/0.70 (assume @p24 (forall @t18 (not (= @t24 @t22)))) % 0.36/0.70 (assume @p25 (forall @t18 (not (= @t24 @t21)))) % 0.36/0.70 (assume @p26 (forall @t18 (not (= @t23 @t21)))) % 0.36/0.70 (assume @p27 (forall @t18 (= @t27 (not (= @t25 @t16))))) % 0.36/0.70 (assume @p28 (forall @t18 (= @t27 (not (= @t23 @t22))))) % 0.36/0.70 (assume @p29 (forall @t18 (= @t27 (not (= @t17 @t21))))) % 0.36/0.70 (assume @p30 (forall @t18 (= @t27 (not (= @t24 @t20))))) % 0.36/0.70 (assume @p31 (forall @t18 (= @t27 (not (= @t19 @t28))))) % 0.36/0.70 (assume @p32 (forall @t34 (=> (not (= @t32 @t30)) @t33))) % 0.36/0.70 (assume @p33 (forall @t34 (=> (not (= @t31 @t29)) @t33))) % 0.36/0.70 (assume @p34 (forall @t4 (=> (not (= @t3 (tptp.host @t1))) (not (= @t2 @t1))))) % 0.36/0.70 (assume @p35 (not (tptp.setIn tptp.nil tptp.alive))) % 0.36/0.70 (assume @p36 (forall @t36 (= (tptp.head @t35) @t13))) % 0.36/0.70 (assume @p37 (forall @t36 (= (tptp.tail @t35) @t5))) % 0.36/0.70 (assume @p38 (forall @t38 (= (tptp.last @t37) @t12))) % 0.36/0.70 (assume @p39 (forall @t38 (= (tptp.init @t37) @t5))) % 0.36/0.70 (assume @p40 (forall @t40 (or @t39 (= @t5 (tptp.cons (tptp.head @t5) (tptp.tail @t5)))))) % 0.36/0.70 (assume @p41 (forall @t40 (or @t39 (= @t5 (tptp.snoc (tptp.init @t5) (tptp.last @t5)))))) % 0.36/0.70 (assume @p42 (forall @t36 (not (= tptp.q_nil @t35)))) % 0.36/0.70 (assume @p43 (forall @t38 (not (= tptp.q_nil @t37)))) % 0.36/0.70 (assume @p44 (forall @t43 (= @t42 @t41))) % 0.36/0.70 (assume @p45 (forall @t44 (= (tptp.snoc @t35 @t12) (tptp.cons @t13 @t37)))) % 0.36/0.70 (assume @p46 (forall @t43 (not (tptp.elem @t13 tptp.q_nil)))) % 0.36/0.70 (assume @p47 @t46) % 0.36/0.70 (assume @p48 (forall @t44 (= (tptp.elem @t13 @t37) @t45))) % 0.36/0.70 (assume @p49 (forall @t43 (= @t48 (exists @t47 (or (= @t13 @t16) (= @t13 @t28)))))) % 0.36/0.70 (assume @p50 (forall @t43 (= (tptp.pidMsg @t25) @t13))) % 0.36/0.70 (assume @p51 (forall @t43 (= (tptp.pidMsg @t19) @t13))) % 0.36/0.70 (assume @p52 (tptp.ordered tptp.q_nil)) % 0.36/0.70 (assume @p53 (forall @t43 (and (tptp.ordered @t42) (tptp.ordered @t41)))) % 0.36/0.70 (assume @p54 (forall @t36 (= 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(step @p578 :rule cong :premises (@p575 @p577) :args (@t406)) % 0.36/0.70 (step @p579 :rule trans :premises (@p578 @p576 @p557)) % 0.36/0.70 (step @p580 :rule true_elim :premises (@p579)) % 0.36/0.70 (step @p581 :rule trans :premises (@p511 @p570)) % 0.36/0.70 (step @p582 :rule bool-double-not-elim :args (@t353)) % 0.36/0.70 (step @p583 :rule nary_cong :premises (@p500 @p582) :args ((or @t395 (not @t354)))) % 0.36/0.70 (step @p584 :rule cnf_or_neg :args (@t395 15)) % 0.36/0.70 (step @p585 :rule eq_resolve :premises (@p584 @p583)) % 0.36/0.70 (step @p586 :rule reordering :premises (@p585) :args ((or @t353 @t395))) % 0.36/0.70 (step @p587 :rule chain_m_resolution :premises (@p586 @p498) :args (@t353 @t404 @t405)) % 0.36/0.70 (step @p588 :rule bool-double-not-elim :args (@t356)) % 0.36/0.70 (step @p589 :rule nary_cong :premises (@p500 @p588) :args ((or @t395 (not @t357)))) % 0.36/0.70 (step @p590 :rule cnf_or_neg :args (@t395 14)) % 0.36/0.70 (step @p591 :rule eq_resolve :premises (@p590 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0.36/0.70 (step @p615 :rule refl :args (@t420)) % 0.36/0.70 (step @p616 :rule nary_cong :premises (@p472 @p615 @p614) :args ((or @t375 @t420 (not @t371)))) % 0.36/0.70 (step @p617 :rule cnf_and_neg :args (@t375)) % 0.36/0.70 (step @p618 :rule eq_resolve :premises (@p617 @p616)) % 0.36/0.70 (step @p619 :rule reordering :premises (@p618) :args ((or @t370 @t375 @t420))) % 0.36/0.70 (step @p620 :rule chain_m_resolution :premises (@p619 @p613 @p611) :args (@t370 (@list true false) (@list @t375 @t374))) % 0.36/0.70 (assume-push @p642 @t379) % 0.36/0.70 (assume-push @p643 @t370) % 0.36/0.70 (assume-push @p644 @t368) % 0.36/0.70 (step @p624 :rule symm :premises (@p505)) % 0.36/0.70 (step @p625 :rule symm :premises (@p620)) % 0.36/0.70 (step @p626 :rule cong :premises (@p625) :args (@t352)) % 0.36/0.70 (step @p627 :rule trans :premises (@p626 @p624 @p511)) % 0.36/0.70 (step-pop @p645 :rule scope :premises (@p627)) % 0.36/0.70 (step-pop @p646 :rule scope :premises (@p645)) % 0.36/0.70 (step-pop @p647 :rule scope :premises (@p646)) % 0.36/0.70 (step @p628 :rule process_scope :premises (@p647) :args (@t363)) % 0.36/0.70 (step @p632 :rule implies_elim :premises (@p628)) % 0.36/0.70 (step @p633 :rule cnf_and_neg :args (@t421)) % 0.36/0.70 (step @p634 :rule resolution :premises (@p633 @p632) :args (true @t421)) % 0.36/0.70 (step @p635 false :rule chain_m_resolution :premises (@p634 @p620 @p513 @p511 @p505) :args (false (@list false true false false) (@list @t370 @t363 @t368 @t379))) % 0.36/0.70 ) % 0.36/0.70 % SZS output end Proof % 0.36/0.70 % cvc5 exiting %------------------------------------------------------------------------------