%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV456+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 : n005.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 09:01:35 AM UTC 2026 % Result : Theorem 0.45s 0.68s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV456+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 20:18:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.68 % SZS status Theorem % 0.45/0.68 % SZS output start Proof % 0.45/0.68 ( % 0.45/0.68 (declare-sort $$unsorted 0) % 0.45/0.68 (declare-const tptp.ldr $$unsorted) % 0.45/0.68 (declare-const tptp.elid $$unsorted) % 0.45/0.68 (declare-const tptp.index (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.ordered (-> $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.pidMsg (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.elec_1 $$unsorted) % 0.45/0.68 (declare-const tptp.zero $$unsorted) % 0.45/0.68 (declare-const tptp.elem (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.m_Ack (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.setEmpty $$unsorted) % 0.45/0.68 (declare-const tptp.elec_2 $$unsorted) % 0.45/0.68 (declare-const tptp.queue (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.nbr_proc $$unsorted) % 0.45/0.68 (declare-const tptp.down $$unsorted) % 0.45/0.68 (declare-const tptp.setIn (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.wait $$unsorted) % 0.45/0.68 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.status $$unsorted) % 0.45/0.68 (declare-const tptp.norm $$unsorted) % 0.45/0.68 (declare-const tptp.m_Ldr (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.host (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.pids $$unsorted) % 0.45/0.68 (declare-const tptp.pidElem (-> $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.m_Down (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.last (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.m_NotNorm (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.m_Halt (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.alive $$unsorted) % 0.45/0.68 (declare-const tptp.nil $$unsorted) % 0.45/0.68 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.snoc (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.init (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.m_NormQ (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.q_nil $$unsorted) % 0.45/0.68 (define @t1 () (@var "Pid2" $$unsorted)) % 0.45/0.68 (define @t2 () (@var "Pid" $$unsorted)) % 0.45/0.68 (define @t3 () (tptp.host @t2)) % 0.45/0.68 (define @t4 () (@list @t2 @t1)) % 0.45/0.68 (define @t5 () (@var "Q" $$unsorted)) % 0.45/0.68 (define @t6 () (tptp.host @t5)) % 0.45/0.68 (define @t7 () (@var "P" $$unsorted)) % 0.45/0.68 (define @t8 () (tptp.host @t7)) % 0.45/0.68 (define @t9 () (tptp.s tptp.zero)) % 0.45/0.68 (define @t10 () (@list @t7)) % 0.45/0.68 (define @t11 () (@var "Z" $$unsorted)) % 0.45/0.68 (define @t12 () (@var "Y" $$unsorted)) % 0.45/0.68 (define @t13 () (@var "X" $$unsorted)) % 0.45/0.68 (define @t14 () (tptp.m_Ack @t13 @t12)) % 0.45/0.68 (define @t15 () (@list @t13 @t12 @t11)) % 0.45/0.68 (define @t16 () (tptp.m_Halt @t12)) % 0.45/0.68 (define @t17 () (tptp.m_NotNorm @t13)) % 0.45/0.68 (define @t18 () (@list @t13 @t12)) % 0.45/0.68 (define @t19 () (tptp.m_Down @t13)) % 0.45/0.68 (define @t20 () (tptp.m_Ldr @t12)) % 0.45/0.68 (define @t21 () (tptp.m_NotNorm @t12)) % 0.45/0.68 (define @t22 () (tptp.m_NormQ @t12)) % 0.45/0.68 (define @t23 () (tptp.m_NormQ @t13)) % 0.45/0.68 (define @t24 () (tptp.m_Ldr @t13)) % 0.45/0.68 (define @t25 () (tptp.m_Halt @t13)) % 0.45/0.68 (define @t26 () (= @t13 @t12)) % 0.45/0.68 (define @t27 () (not @t26)) % 0.45/0.68 (define @t28 () (tptp.m_Down @t12)) % 0.45/0.68 (define @t29 () (@var "Y2" $$unsorted)) % 0.45/0.68 (define @t30 () (@var "X2" $$unsorted)) % 0.45/0.68 (define @t31 () (@var "Y1" $$unsorted)) % 0.45/0.68 (define @t32 () (@var "X1" $$unsorted)) % 0.45/0.68 (define @t33 () (not (= (tptp.m_Ack @t32 @t31) (tptp.m_Ack @t30 @t29)))) % 0.45/0.68 (define @t34 () (@list @t32 @t30 @t31 @t29)) % 0.45/0.68 (define @t35 () (tptp.cons @t13 @t5)) % 0.45/0.68 (define @t36 () (@list @t13 @t5)) % 0.45/0.68 (define @t37 () (tptp.snoc @t5 @t12)) % 0.45/0.68 (define @t38 () (@list @t12 @t5)) % 0.45/0.68 (define @t39 () (= @t5 tptp.q_nil)) % 0.45/0.68 (define @t40 () (@list @t5)) % 0.45/0.68 (define @t41 () (tptp.snoc tptp.q_nil @t13)) % 0.45/0.68 (define @t42 () (tptp.cons @t13 tptp.q_nil)) % 0.45/0.68 (define @t43 () (@list @t13)) % 0.45/0.68 (define @t44 () (@list @t13 @t12 @t5)) % 0.45/0.68 (define @t45 () (or @t26 (tptp.elem @t13 @t5))) % 0.45/0.68 (define @t46 () (forall @t44 (= (tptp.elem @t13 (tptp.cons @t12 @t5)) @t45))) % 0.45/0.68 (define @t47 () (@list @t12)) % 0.45/0.68 (define @t48 () (tptp.pidElem @t13)) % 0.45/0.68 (define @t49 () (tptp.pidMsg @t12)) % 0.45/0.68 (define @t50 () (tptp.pidMsg @t13)) % 0.45/0.68 (define @t51 () (and (tptp.elem @t12 @t5) @t48 (tptp.pidElem @t12) (= (tptp.host @t49) (tptp.host @t50)))) % 0.45/0.68 (define @t52 () (tptp.ordered @t5)) % 0.45/0.68 (define @t53 () (@list @t5 @t13 @t12)) % 0.45/0.68 (define @t54 () (tptp.leq @t13 @t12)) % 0.45/0.68 (define @t55 () (tptp.host @t12)) % 0.45/0.68 (define @t56 () (tptp.host @t13)) % 0.45/0.68 (define @t57 () (tptp.s @t13)) % 0.45/0.68 (define @t58 () (tptp.leq @t12 @t13)) % 0.45/0.68 (define @t59 () (tptp.s @t12)) % 0.45/0.68 (define @t60 () (@var "Y0" $$unsorted)) % 0.45/0.68 (define @t61 () (tptp.host @t60)) % 0.45/0.68 (define @t62 () (@var "X0" $$unsorted)) % 0.45/0.68 (define @t63 () (tptp.host @t62)) % 0.45/0.68 (define @t64 () (tptp.setIn @t63 (tptp.index tptp.down @t61))) % 0.45/0.68 (define @t65 () (@var "V" $$unsorted)) % 0.45/0.68 (define @t66 () (@var "Z0" $$unsorted)) % 0.45/0.68 (define @t67 () (tptp.elem (tptp.m_Down @t66) @t65)) % 0.45/0.68 (define @t68 () (not (and @t67 @t64))) % 0.45/0.68 (define @t69 () (tptp.host @t66)) % 0.45/0.68 (define @t70 () (tptp.host @t11)) % 0.45/0.68 (define @t71 () (not (= @t61 @t70))) % 0.45/0.68 (define @t72 () (@var "W" $$unsorted)) % 0.45/0.68 (define @t73 () (tptp.setIn @t60 tptp.alive)) % 0.45/0.68 (define @t74 () (not (= @t60 @t13))) % 0.45/0.68 (define @t75 () (and @t74 @t73)) % 0.45/0.68 (define @t76 () (or @t75 (= @t60 @t72))) % 0.45/0.68 (define @t77 () (= @t11 @t72)) % 0.45/0.68 (define @t78 () (tptp.setIn @t11 tptp.alive)) % 0.45/0.68 (define @t79 () (not (= @t11 @t13))) % 0.45/0.68 (define @t80 () (and @t79 @t78)) % 0.45/0.68 (define @t81 () (or @t80 @t77)) % 0.45/0.68 (define @t82 () (and @t81 @t76 @t71 (= @t63 @t70) (= @t69 @t61))) % 0.45/0.68 (define @t83 () (=> @t82 @t68)) % 0.45/0.68 (define @t84 () (@list @t66)) % 0.45/0.68 (define @t85 () (forall @t84 @t83)) % 0.45/0.68 (define @t86 () (= @t56 @t61)) % 0.45/0.68 (define @t87 () (not @t86)) % 0.45/0.68 (define @t88 () (=> @t87 @t85)) % 0.45/0.68 (define @t89 () (tptp.host @t72)) % 0.45/0.68 (define @t90 () (= @t89 @t61)) % 0.45/0.68 (define @t91 () (not @t90)) % 0.45/0.68 (define @t92 () (=> @t91 @t88)) % 0.45/0.68 (define @t93 () (@list @t62 @t60)) % 0.45/0.68 (define @t94 () (forall @t93 @t92)) % 0.45/0.68 (define @t95 () (= @t56 @t70)) % 0.45/0.68 (define @t96 () (=> @t95 @t94)) % 0.45/0.68 (define @t97 () (@list @t11)) % 0.45/0.68 (define @t98 () (forall @t97 @t96)) % 0.45/0.68 (define @t99 () (not (= @t89 @t9))) % 0.45/0.68 (define @t100 () (=> @t99 @t98)) % 0.45/0.68 (define @t101 () (= @t56 @t89)) % 0.45/0.68 (define @t102 () (tptp.setIn @t72 tptp.pids)) % 0.45/0.68 (define @t103 () (not @t102)) % 0.45/0.68 (define @t104 () (tptp.leq @t11 @t72)) % 0.45/0.68 (define @t105 () (forall @t97 (=> @t95 @t104))) % 0.45/0.68 (define @t106 () (and @t105 @t103 @t101)) % 0.45/0.68 (define @t107 () (=> @t106 @t100)) % 0.45/0.68 (define @t108 () (= @t55 (tptp.host (tptp.index tptp.elid @t56)))) % 0.45/0.68 (define @t109 () (tptp.index tptp.status @t56)) % 0.45/0.68 (define @t110 () (and (= @t109 tptp.wait) @t108)) % 0.45/0.68 (define @t111 () (tptp.index tptp.ldr @t56)) % 0.45/0.68 (define @t112 () (and (= @t111 @t55) (= @t109 tptp.norm))) % 0.45/0.68 (define @t113 () (or @t112 @t110)) % 0.45/0.68 (define @t114 () (=> @t113 @t107)) % 0.45/0.68 (define @t115 () (tptp.leq @t56 @t55)) % 0.45/0.68 (define @t116 () (not @t115)) % 0.45/0.68 (define @t117 () (=> @t116 @t114)) % 0.45/0.68 (define @t118 () (tptp.setIn @t13 tptp.alive)) % 0.45/0.68 (define @t119 () (=> @t118 @t117)) % 0.45/0.68 (define @t120 () (= (tptp.queue @t56) (tptp.cons @t28 @t65))) % 0.45/0.68 (define @t121 () (@var "Pid20" $$unsorted)) % 0.45/0.68 (define @t122 () (tptp.host @t121)) % 0.45/0.68 (define @t123 () (@var "Pid30" $$unsorted)) % 0.45/0.68 (define @t124 () (tptp.host @t123)) % 0.45/0.68 (define @t125 () (tptp.setIn @t124 (tptp.index tptp.down @t122))) % 0.45/0.68 (define @t126 () (tptp.queue @t70)) % 0.45/0.68 (define @t127 () (@var "Pid0" $$unsorted)) % 0.45/0.68 (define @t128 () (tptp.elem (tptp.m_Down @t127) @t126)) % 0.45/0.68 (define @t129 () (not (and @t128 @t125))) % 0.45/0.68 (define @t130 () (tptp.host @t127)) % 0.45/0.68 (define @t131 () (= @t130 @t122)) % 0.45/0.68 (define @t132 () (tptp.setIn @t121 tptp.alive)) % 0.45/0.68 (define @t133 () (not (= @t122 @t70))) % 0.45/0.68 (define @t134 () (and @t133 @t78 @t132 (= @t124 @t70) @t131)) % 0.45/0.68 (define @t135 () (=> @t134 @t129)) % 0.45/0.68 (define @t136 () (@list @t11 @t123 @t121 @t127)) % 0.45/0.68 (define @t137 () (forall @t136 @t135)) % 0.45/0.68 (define @t138 () (tptp.queue @t122)) % 0.45/0.68 (define @t139 () (tptp.elem (tptp.m_Down @t123) @t138)) % 0.45/0.68 (define @t140 () (not (and @t128 @t139))) % 0.45/0.68 (define @t141 () (=> @t134 @t140)) % 0.45/0.68 (define @t142 () (forall @t136 @t141)) % 0.45/0.68 (define @t143 () (not (tptp.setIn @t127 tptp.alive))) % 0.45/0.68 (define @t144 () (not @t78)) % 0.45/0.68 (define @t145 () (or @t144 @t143)) % 0.45/0.68 (define @t146 () (= @t130 @t70)) % 0.45/0.68 (define @t147 () (not (= @t127 @t11))) % 0.45/0.68 (define @t148 () (and @t147 @t146)) % 0.45/0.68 (define @t149 () (=> @t148 @t145)) % 0.45/0.68 (define @t150 () (@list @t11 @t127)) % 0.45/0.68 (define @t151 () (forall @t150 @t149)) % 0.45/0.68 (define @t152 () (tptp.leq @t127 @t11)) % 0.45/0.68 (define @t153 () (and @t144 @t152 @t146)) % 0.45/0.68 (define @t154 () (=> @t153 @t143)) % 0.45/0.68 (define @t155 () (forall @t150 @t154)) % 0.45/0.68 (define @t156 () (not (tptp.leq @t70 @t130))) % 0.45/0.68 (define @t157 () (tptp.elem (tptp.m_Ack @t127 @t11) @t138)) % 0.45/0.68 (define @t158 () (@list @t11 @t121 @t127)) % 0.45/0.68 (define @t159 () (forall @t158 (=> @t157 @t156))) % 0.45/0.68 (define @t160 () (tptp.elem (tptp.m_Halt @t127) @t126)) % 0.45/0.68 (define @t161 () (forall @t150 (=> @t160 @t156))) % 0.45/0.68 (define @t162 () (not @t146)) % 0.45/0.68 (define @t163 () (=> @t128 @t162)) % 0.45/0.68 (define @t164 () (forall @t150 @t163)) % 0.45/0.68 (define @t165 () (forall @t150 (=> @t128 @t143))) % 0.45/0.68 (define @t166 () (and @t165 @t164 @t161 @t159 @t155 @t151 @t142 @t137 @t120)) % 0.45/0.68 (define @t167 () (=> @t166 @t119)) % 0.45/0.68 (define @t168 () (@list @t65 @t72 @t13 @t12)) % 0.45/0.68 (define @t169 () (forall @t168 @t167)) % 0.45/0.68 (define @t170 () (not @t169)) % 0.45/0.68 (define @t171 () (@var "BOUND_VARIABLE_8313" $$unsorted)) % 0.45/0.68 (define @t172 () (not (tptp.elem (tptp.m_Down @t171) @t65))) % 0.45/0.68 (define @t173 () (@var "BOUND_VARIABLE_8311" $$unsorted)) % 0.45/0.68 (define @t174 () (tptp.host @t173)) % 0.45/0.68 (define @t175 () (not (= @t174 (tptp.host @t171)))) % 0.45/0.68 (define @t176 () (@var "BOUND_VARIABLE_8309" $$unsorted)) % 0.45/0.68 (define @t177 () (tptp.host @t176)) % 0.45/0.68 (define @t178 () (not (tptp.setIn @t177 (tptp.index tptp.down @t174)))) % 0.45/0.68 (define @t179 () (@var "BOUND_VARIABLE_8307" $$unsorted)) % 0.45/0.68 (define @t180 () (tptp.host @t179)) % 0.45/0.68 (define @t181 () (= @t180 @t174)) % 0.45/0.68 (define @t182 () (and (or (= @t13 @t173) (not (tptp.setIn @t173 tptp.alive))) (not (= @t72 @t173)))) % 0.45/0.68 (define @t183 () (= @t56 @t174)) % 0.45/0.68 (define @t184 () (= @t89 @t174)) % 0.45/0.68 (define @t185 () (not (= @t180 @t177))) % 0.45/0.68 (define @t186 () (not (= @t179 @t72))) % 0.45/0.68 (define @t187 () (or (= @t13 @t179) (not (tptp.setIn @t179 tptp.alive)))) % 0.45/0.68 (define @t188 () (and @t187 @t186)) % 0.45/0.68 (define @t189 () (not (= @t56 @t180))) % 0.45/0.68 (define @t190 () (= @t9 @t89)) % 0.45/0.68 (define @t191 () (not @t101)) % 0.45/0.68 (define @t192 () (not @t95)) % 0.45/0.68 (define @t193 () (forall @t97 (or @t192 @t104))) % 0.45/0.68 (define @t194 () (not @t193)) % 0.45/0.68 (define @t195 () (= tptp.wait @t109)) % 0.45/0.68 (define @t196 () (= tptp.norm @t109)) % 0.45/0.68 (define @t197 () (= @t55 @t111)) % 0.45/0.68 (define @t198 () (and (or (not @t197) (not @t196)) (or (not @t195) (not @t108)))) % 0.45/0.68 (define @t199 () (not @t118)) % 0.45/0.68 (define @t200 () (not @t120)) % 0.45/0.68 (define @t201 () (or @t200 @t199 @t115 @t198 @t194 @t102 @t191 @t190 @t189 @t188 @t185 @t184 @t183 @t182 @t181 @t178 @t175 @t172)) % 0.45/0.68 (define @t202 () (or @t189 @t188 @t185 @t184 @t183 @t182 @t181 @t178 @t175 @t172)) % 0.45/0.68 (define @t203 () (or @t200 @t199 @t115 @t198 @t194 @t102 @t191 @t190 @t202)) % 0.45/0.68 (define @t204 () (@list @t65 @t72 @t13 @t12 @t179 @t176 @t173 @t171)) % 0.45/0.68 (define @t205 () (forall @t204 @t203)) % 0.45/0.68 (define @t206 () (@list @t179 @t176 @t173 @t171)) % 0.45/0.68 (define @t207 () (forall @t206 @t203)) % 0.45/0.68 (define @t208 () (forall @t206 @t202)) % 0.45/0.68 (define @t209 () (@var "BOUND_VARIABLE_8233" $$unsorted)) % 0.45/0.68 (define @t210 () (@var "BOUND_VARIABLE_8231" $$unsorted)) % 0.45/0.68 (define @t211 () (@var "BOUND_VARIABLE_8229" $$unsorted)) % 0.45/0.68 (define @t212 () (or @t200 @t199 @t115 @t198 @t194 @t102 @t191 @t190 @t208)) % 0.45/0.68 (define @t213 () (not (tptp.elem (tptp.m_Down @t209) @t65))) % 0.45/0.68 (define @t214 () (tptp.host @t210)) % 0.45/0.68 (define @t215 () (not (= @t214 (tptp.host @t209)))) % 0.45/0.68 (define @t216 () (tptp.host @t211)) % 0.45/0.68 (define @t217 () (not (tptp.setIn @t216 (tptp.index tptp.down @t214)))) % 0.45/0.68 (define @t218 () (= @t70 @t214)) % 0.45/0.68 (define @t219 () (and (or (= @t13 @t210) (not (tptp.setIn @t210 tptp.alive))) (not (= @t72 @t210)))) % 0.45/0.68 (define @t220 () (= @t56 @t214)) % 0.45/0.68 (define @t221 () (= @t89 @t214)) % 0.45/0.68 (define @t222 () (not (= @t70 @t216))) % 0.45/0.68 (define @t223 () (not @t77)) % 0.45/0.68 (define @t224 () (= @t13 @t11)) % 0.45/0.68 (define @t225 () (and (or @t224 @t144) @t223)) % 0.45/0.68 (define @t226 () (or @t192 @t225 @t222 @t221 @t220 @t219 @t218 @t217 @t215 @t213)) % 0.45/0.68 (define @t227 () (@list @t11 @t211 @t210 @t209)) % 0.45/0.68 (define @t228 () (forall @t227 @t226)) % 0.45/0.68 (define @t229 () (or @t200 @t199 @t115 @t198 @t194 @t102 @t191 @t190 @t228)) % 0.45/0.68 (define @t230 () (forall @t168 @t229)) % 0.45/0.68 (define @t231 () (not @t125)) % 0.45/0.68 (define @t232 () (not @t128)) % 0.45/0.68 (define @t233 () (not @t131)) % 0.45/0.68 (define @t234 () (= @t70 @t124)) % 0.45/0.68 (define @t235 () (not @t234)) % 0.45/0.68 (define @t236 () (not @t132)) % 0.45/0.68 (define @t237 () (= @t70 @t122)) % 0.45/0.68 (define @t238 () (or @t237 @t144 @t236 @t235 @t233 @t232 @t231)) % 0.45/0.68 (define @t239 () (forall @t136 @t238)) % 0.45/0.68 (define @t240 () (not @t239)) % 0.45/0.68 (define @t241 () (not @t139)) % 0.45/0.68 (define @t242 () (or @t237 @t144 @t236 @t235 @t233 @t232 @t241)) % 0.45/0.68 (define @t243 () (forall @t136 @t242)) % 0.45/0.68 (define @t244 () (not @t243)) % 0.45/0.68 (define @t245 () (= @t70 @t130)) % 0.45/0.68 (define @t246 () (not @t245)) % 0.45/0.68 (define @t247 () (= @t11 @t127)) % 0.45/0.68 (define @t248 () (or @t247 @t246 @t144 @t143)) % 0.45/0.68 (define @t249 () (forall @t150 @t248)) % 0.45/0.68 (define @t250 () (not @t249)) % 0.45/0.68 (define @t251 () (not @t152)) % 0.45/0.68 (define @t252 () (or @t78 @t251 @t246 @t143)) % 0.45/0.68 (define @t253 () (forall @t150 @t252)) % 0.45/0.68 (define @t254 () (not @t253)) % 0.45/0.68 (define @t255 () (forall @t158 (or (not @t157) @t156))) % 0.45/0.68 (define @t256 () (not @t255)) % 0.45/0.68 (define @t257 () (forall @t150 (or (not @t160) @t156))) % 0.45/0.68 (define @t258 () (not @t257)) % 0.45/0.68 (define @t259 () (forall @t150 (or @t232 @t246))) % 0.45/0.68 (define @t260 () (not @t259)) % 0.45/0.68 (define @t261 () (forall @t150 (or @t232 @t143))) % 0.45/0.68 (define @t262 () (not @t261)) % 0.45/0.68 (define @t263 () (or @t262 @t260 @t258 @t256 @t254 @t250 @t244 @t240 @t230)) % 0.45/0.68 (define @t264 () (or @t262 @t260 @t258 @t256 @t254 @t250 @t244 @t240 @t229)) % 0.45/0.68 (define @t265 () (or @t262 @t260 @t258 @t256 @t254 @t250 @t244 @t240 @t200 @t199 @t115 @t198 @t194 @t102 @t191 @t190 @t228)) % 0.45/0.68 (define @t266 () (or @t199 @t115 @t198 @t194 @t102 @t191 @t190 @t228)) % 0.45/0.68 (define @t267 () (or @t262 @t260 @t258 @t256 @t254 @t250 @t244 @t240 @t200)) % 0.45/0.68 (define @t268 () (or @t115 @t198 @t194 @t102 @t191 @t190 @t228)) % 0.45/0.68 (define @t269 () (or @t198 @t194 @t102 @t191 @t190 @t228)) % 0.45/0.68 (define @t270 () (or @t194 @t102 @t191 @t190 @t228)) % 0.45/0.68 (define @t271 () (not @t190)) % 0.45/0.68 (define @t272 () (not @t103)) % 0.45/0.68 (define @t273 () (or @t194 @t272 @t191)) % 0.45/0.68 (define @t274 () (=> @t271 @t228)) % 0.45/0.68 (define @t275 () (and @t193 @t103 @t101)) % 0.45/0.68 (define @t276 () (and @t195 @t108)) % 0.45/0.68 (define @t277 () (and @t197 @t196)) % 0.45/0.68 (define @t278 () (=> @t275 @t274)) % 0.45/0.68 (define @t279 () (or @t277 @t276)) % 0.45/0.68 (define @t280 () (=> @t279 @t278)) % 0.45/0.68 (define @t281 () (=> @t116 @t280)) % 0.45/0.68 (define @t282 () (=> @t118 @t281)) % 0.45/0.68 (define @t283 () (and @t261 @t259 @t257 @t255 @t253 @t249 @t243 @t239 @t120)) % 0.45/0.68 (define @t284 () (or @t222 @t221 @t220 @t219 @t218 @t217 @t215 @t213)) % 0.45/0.68 (define @t285 () (or @t192 @t225 @t284)) % 0.45/0.68 (define @t286 () (forall @t227 @t285)) % 0.45/0.68 (define @t287 () (@list @t211 @t210 @t209)) % 0.45/0.68 (define @t288 () (forall @t287 @t285)) % 0.45/0.68 (define @t289 () (forall @t287 @t284)) % 0.45/0.68 (define @t290 () (@var "BOUND_VARIABLE_8210" $$unsorted)) % 0.45/0.68 (define @t291 () (or @t192 @t225 @t289)) % 0.45/0.68 (define @t292 () (not (tptp.elem (tptp.m_Down @t290) @t65))) % 0.45/0.68 (define @t293 () (not (= @t61 (tptp.host @t290)))) % 0.45/0.68 (define @t294 () (not @t64)) % 0.45/0.68 (define @t295 () (= @t70 @t61)) % 0.45/0.68 (define @t296 () (= @t72 @t60)) % 0.45/0.68 (define @t297 () (not @t296)) % 0.45/0.68 (define @t298 () (not @t73)) % 0.45/0.68 (define @t299 () (= @t13 @t60)) % 0.45/0.68 (define @t300 () (and (or @t299 @t298) @t297)) % 0.45/0.68 (define @t301 () (= @t70 @t63)) % 0.45/0.68 (define @t302 () (not @t301)) % 0.45/0.68 (define @t303 () (or @t302 @t90 @t86 @t300 @t295 @t294 @t293 @t292)) % 0.45/0.68 (define @t304 () (@list @t62 @t60 @t290)) % 0.45/0.68 (define @t305 () (forall @t304 @t303)) % 0.45/0.68 (define @t306 () (or @t192 @t225 @t305)) % 0.45/0.68 (define @t307 () (or @t225 @t305)) % 0.45/0.68 (define @t308 () (or @t293 @t292)) % 0.45/0.68 (define @t309 () (or @t302 @t90 @t86 @t300 @t295 @t294 @t308)) % 0.45/0.68 (define @t310 () (forall @t304 @t309)) % 0.45/0.68 (define @t311 () (@list @t290)) % 0.45/0.68 (define @t312 () (forall @t311 @t309)) % 0.45/0.68 (define @t313 () (forall @t311 @t308)) % 0.45/0.68 (define @t314 () (or @t302 @t90 @t86 @t300 @t295 @t294 @t313)) % 0.45/0.68 (define @t315 () (not @t67)) % 0.45/0.68 (define @t316 () (= @t61 @t69)) % 0.45/0.68 (define @t317 () (not @t316)) % 0.45/0.68 (define @t318 () (or @t317 @t315)) % 0.45/0.68 (define @t319 () (forall @t84 @t318)) % 0.45/0.68 (define @t320 () (or @t302 @t90 @t86 @t300 @t295 @t294 @t319)) % 0.45/0.68 (define @t321 () (forall @t93 @t320)) % 0.45/0.68 (define @t322 () (or @t225 @t321)) % 0.45/0.68 (define @t323 () (or @t225 @t320)) % 0.45/0.68 (define @t324 () (or @t90 @t86 @t225 @t300 @t295 @t302 @t294 @t319)) % 0.45/0.68 (define @t325 () (or @t86 @t225 @t300 @t295 @t302 @t294 @t319)) % 0.45/0.68 (define @t326 () (or @t225 @t300 @t295 @t302 @t294 @t319)) % 0.45/0.68 (define @t327 () (=> @t87 @t326)) % 0.45/0.68 (define @t328 () (or @t225 @t300 @t295 @t302 @t294 @t318)) % 0.45/0.68 (define @t329 () (or @t225 @t300 @t295 @t302 @t317 @t315 @t294)) % 0.45/0.68 (define @t330 () (not @t299)) % 0.45/0.68 (define @t331 () (and @t330 @t73)) % 0.45/0.68 (define @t332 () (not @t224)) % 0.45/0.68 (define @t333 () (and @t332 @t78)) % 0.45/0.68 (define @t334 () (or @t331 @t296)) % 0.45/0.68 (define @t335 () (not @t334)) % 0.45/0.68 (define @t336 () (or @t333 @t77)) % 0.45/0.68 (define @t337 () (not @t336)) % 0.45/0.68 (define @t338 () (not @t295)) % 0.45/0.68 (define @t339 () (not @t338)) % 0.45/0.68 (define @t340 () (or @t337 @t335 @t339 @t302 @t317)) % 0.45/0.68 (define @t341 () (and @t336 @t334 @t338 @t301 @t316)) % 0.45/0.68 (define @t342 () (or @t237 @t144 @t236 @t235 @t233)) % 0.45/0.68 (define @t343 () (not @t237)) % 0.45/0.68 (define @t344 () (not @t343)) % 0.45/0.68 (define @t345 () (or @t344 @t144 @t236 @t235 @t233)) % 0.45/0.68 (define @t346 () (and @t343 @t78 @t132 @t234 @t131)) % 0.45/0.68 (define @t347 () (not @t346)) % 0.45/0.68 (define @t348 () (not @t247)) % 0.45/0.68 (define @t349 () (and @t348 @t245)) % 0.45/0.68 (define @t350 () (not @t144)) % 0.45/0.68 (define @t351 () (or @t350 @t251 @t246)) % 0.45/0.68 (define @t352 () (and @t144 @t152 @t245)) % 0.45/0.68 (define @t353 () (forall @t204 (or @t200 @t199 @t115 @t198 @t194 @t102 @t191 @t190 @t189 (and @t187 (not (= @t72 @t179))) @t185 @t184 @t183 @t182 @t181 @t178 @t175 @t172))) % 0.45/0.68 (define @t354 () (@quantifiers_skolemize @t353 0)) % 0.45/0.68 (define @t355 () (@quantifiers_skolemize @t353 7)) % 0.45/0.68 (define @t356 () (tptp.m_Down @t355)) % 0.45/0.68 (define @t357 () (tptp.elem @t356 @t354)) % 0.45/0.68 (define @t358 () (not @t357)) % 0.45/0.68 (define @t359 () (tptp.host @t355)) % 0.45/0.68 (define @t360 () (@quantifiers_skolemize @t353 6)) % 0.45/0.68 (define @t361 () (tptp.host @t360)) % 0.45/0.68 (define @t362 () (= @t361 @t359)) % 0.45/0.68 (define @t363 () (not @t362)) % 0.45/0.68 (define @t364 () (tptp.index tptp.down @t361)) % 0.45/0.68 (define @t365 () (tptp.host (@quantifiers_skolemize @t353 5))) % 0.45/0.68 (define @t366 () (tptp.setIn @t365 @t364)) % 0.45/0.68 (define @t367 () (not @t366)) % 0.45/0.68 (define @t368 () (@quantifiers_skolemize @t353 4)) % 0.45/0.68 (define @t369 () (tptp.host @t368)) % 0.45/0.68 (define @t370 () (= @t369 @t361)) % 0.45/0.68 (define @t371 () (@quantifiers_skolemize @t353 1)) % 0.45/0.68 (define @t372 () (= @t371 @t360)) % 0.45/0.68 (define @t373 () (not @t372)) % 0.45/0.68 (define @t374 () (tptp.setIn @t360 tptp.alive)) % 0.45/0.68 (define @t375 () (not @t374)) % 0.45/0.68 (define @t376 () (@quantifiers_skolemize @t353 2)) % 0.45/0.68 (define @t377 () (or (= @t376 @t360) @t375)) % 0.45/0.68 (define @t378 () (and @t377 @t373)) % 0.45/0.68 (define @t379 () (tptp.host @t376)) % 0.45/0.68 (define @t380 () (= @t379 @t361)) % 0.45/0.68 (define @t381 () (tptp.host @t371)) % 0.45/0.68 (define @t382 () (= @t381 @t361)) % 0.45/0.68 (define @t383 () (= @t369 @t365)) % 0.45/0.68 (define @t384 () (not @t383)) % 0.45/0.68 (define @t385 () (and (or (= @t376 @t368) (not (tptp.setIn @t368 tptp.alive))) (not (= @t371 @t368)))) % 0.45/0.68 (define @t386 () (= @t379 @t369)) % 0.45/0.68 (define @t387 () (not @t386)) % 0.45/0.68 (define @t388 () (= @t9 @t381)) % 0.45/0.68 (define @t389 () (= @t379 @t381)) % 0.45/0.68 (define @t390 () (not @t389)) % 0.45/0.68 (define @t391 () (tptp.setIn @t371 tptp.pids)) % 0.45/0.68 (define @t392 () (tptp.leq @t11 @t371)) % 0.45/0.68 (define @t393 () (@quantifiers_skolemize @t353 3)) % 0.45/0.68 (define @t394 () (tptp.host @t393)) % 0.45/0.68 (define @t395 () (tptp.index tptp.status @t379)) % 0.45/0.68 (define @t396 () (and (or (not (= @t394 (tptp.index tptp.ldr @t379))) (not (= tptp.norm @t395))) (or (not (= tptp.wait @t395)) (not (= @t394 (tptp.host (tptp.index tptp.elid @t379))))))) % 0.45/0.68 (define @t397 () (tptp.leq @t379 @t394)) % 0.45/0.68 (define @t398 () (tptp.setIn @t376 tptp.alive)) % 0.45/0.68 (define @t399 () (not @t398)) % 0.45/0.68 (define @t400 () (tptp.m_Down @t393)) % 0.45/0.68 (define @t401 () (tptp.cons @t400 @t354)) % 0.45/0.68 (define @t402 () (tptp.queue @t379)) % 0.45/0.68 (define @t403 () (= @t402 @t401)) % 0.45/0.68 (define @t404 () (not @t403)) % 0.45/0.68 (define @t405 () (or @t404 @t399 @t397 @t396 (not (forall @t97 (or (not (= @t70 @t379)) @t392))) @t391 @t390 @t388 @t387 @t385 @t384 @t382 @t380 @t378 @t370 @t367 @t363 @t358)) % 0.45/0.68 (define @t406 () (not @t405)) % 0.45/0.68 (define @t407 () (not @t353)) % 0.45/0.68 (define @t408 () (not (= @t379 @t70))) % 0.45/0.68 (define @t409 () (or @t408 @t392)) % 0.45/0.68 (define @t410 () (forall @t97 @t409)) % 0.45/0.68 (define @t411 () (not @t410)) % 0.45/0.68 (define @t412 () (or @t404 @t399 @t397 @t396 @t411 @t391 @t390 @t388 @t387 @t385 @t384 @t382 @t380 @t378 @t370 @t367 @t363 @t358)) % 0.45/0.68 (define @t413 () (not @t412)) % 0.45/0.68 (define @t414 () (@list true)) % 0.45/0.68 (define @t415 () (@list @t405)) % 0.45/0.68 (define @t416 () (tptp.setIn @t379 @t364)) % 0.45/0.68 (define @t417 () (not @t416)) % 0.45/0.68 (define @t418 () (tptp.elem @t356 @t402)) % 0.45/0.68 (define @t419 () (not @t418)) % 0.45/0.68 (define @t420 () (or @t380 @t399 @t375 @t363 @t419 @t417)) % 0.45/0.68 (define @t421 () (not (= @t359 @t361))) % 0.45/0.68 (define @t422 () (not (= @t379 @t379))) % 0.45/0.68 (define @t423 () (or @t380 @t399 @t375 @t422 @t421 @t419 @t417)) % 0.45/0.68 (define @t424 () (@list false)) % 0.45/0.68 (define @t425 () (or (= @t356 @t400) @t357)) % 0.45/0.68 (define @t426 () (tptp.elem @t356 @t401)) % 0.45/0.68 (define @t427 () (= @t426 @t425)) % 0.45/0.68 (define @t428 () (or (= @t400 @t356) @t357)) % 0.45/0.68 (define @t429 () (= @t426 @t428)) % 0.45/0.68 (define @t430 () (tptp.queue @t365)) % 0.45/0.68 (define @t431 () (tptp.index tptp.down @t359)) % 0.45/0.68 (define @t432 () (not @t377)) % 0.45/0.68 (define @t433 () (and @t389 @t386 @t372)) % 0.45/0.68 (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))))) % 0.45/0.68 (assume @p2 (forall (@list @t7 @t5) (=> (= (tptp.s @t8) @t6) (not (= @t8 @t6))))) % 0.45/0.68 (assume @p3 (forall @t10 (tptp.leq @t9 @t8))) % 0.45/0.68 (assume @p4 (tptp.leq @t9 tptp.nbr_proc)) % 0.45/0.68 (assume @p5 (forall @t10 (tptp.leq @t8 tptp.nbr_proc))) % 0.45/0.68 (assume @p6 (not (= tptp.elec_1 tptp.elec_2))) % 0.45/0.68 (assume @p7 (not (= tptp.elec_1 tptp.wait))) % 0.45/0.68 (assume @p8 (not (= tptp.elec_1 tptp.norm))) % 0.45/0.68 (assume @p9 (not (= tptp.elec_2 tptp.wait))) % 0.45/0.68 (assume @p10 (not (= tptp.elec_2 tptp.norm))) % 0.45/0.68 (assume @p11 (not (= tptp.norm tptp.wait))) % 0.45/0.68 (assume @p12 (forall @t15 (not (= @t14 (tptp.m_Halt @t11))))) % 0.45/0.68 (assume @p13 (forall @t15 (not (= @t14 (tptp.m_Down @t11))))) % 0.45/0.68 (assume @p14 (forall @t15 (not (= @t14 (tptp.m_NotNorm @t11))))) % 0.45/0.68 (assume @p15 (forall @t15 (not (= @t14 (tptp.m_Ldr @t11))))) % 0.45/0.68 (assume @p16 (forall @t15 (not (= @t14 (tptp.m_NormQ @t11))))) % 0.45/0.68 (assume @p17 (forall @t18 (not (= @t17 @t16)))) % 0.45/0.68 (assume @p18 (forall @t18 (not (= @t19 @t16)))) % 0.45/0.68 (assume @p19 (forall @t18 (not (= @t19 @t20)))) % 0.45/0.68 (assume @p20 (forall @t18 (not (= @t19 @t21)))) % 0.45/0.68 (assume @p21 (forall @t18 (not (= @t19 @t22)))) % 0.45/0.68 (assume @p22 (forall @t18 (not (= @t23 @t16)))) % 0.45/0.68 (assume @p23 (forall @t18 (not (= @t24 @t16)))) % 0.45/0.68 (assume @p24 (forall @t18 (not (= @t24 @t22)))) % 0.45/0.68 (assume @p25 (forall @t18 (not (= @t24 @t21)))) % 0.45/0.68 (assume @p26 (forall @t18 (not (= @t23 @t21)))) % 0.45/0.68 (assume @p27 (forall @t18 (= @t27 (not (= @t25 @t16))))) % 0.45/0.68 (assume @p28 (forall @t18 (= @t27 (not (= @t23 @t22))))) % 0.45/0.68 (assume @p29 (forall @t18 (= @t27 (not (= @t17 @t21))))) % 0.45/0.68 (assume @p30 (forall @t18 (= @t27 (not (= @t24 @t20))))) % 0.45/0.68 (assume @p31 (forall @t18 (= @t27 (not (= @t19 @t28))))) % 0.45/0.68 (assume @p32 (forall @t34 (=> (not (= @t32 @t30)) @t33))) % 0.45/0.68 (assume @p33 (forall @t34 (=> (not (= @t31 @t29)) @t33))) % 0.45/0.68 (assume @p34 (forall @t4 (=> (not (= @t3 (tptp.host @t1))) (not (= @t2 @t1))))) % 0.45/0.68 (assume @p35 (not (tptp.setIn tptp.nil tptp.alive))) % 0.45/0.68 (assume @p36 (forall @t36 (= (tptp.head @t35) @t13))) % 0.45/0.68 (assume @p37 (forall @t36 (= (tptp.tail @t35) @t5))) % 0.45/0.68 (assume @p38 (forall @t38 (= (tptp.last @t37) @t12))) % 0.45/0.68 (assume @p39 (forall @t38 (= (tptp.init @t37) @t5))) % 0.45/0.68 (assume @p40 (forall @t40 (or @t39 (= @t5 (tptp.cons (tptp.head @t5) (tptp.tail @t5)))))) % 0.45/0.68 (assume @p41 (forall @t40 (or @t39 (= @t5 (tptp.snoc (tptp.init @t5) (tptp.last @t5)))))) % 0.45/0.68 (assume @p42 (forall @t36 (not (= tptp.q_nil @t35)))) % 0.45/0.68 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@p650 :rule chain_m_resolution :premises (@p649 @p519) :args ((not @t378) @t414 @t415)) % 0.45/0.69 (step @p651 :rule bool-double-not-elim :args (@t372)) % 0.45/0.69 (step @p652 :rule refl :args (@t432)) % 0.45/0.69 (step @p653 :rule nary_cong :premises (@p489 @p652 @p651) :args ((or @t378 @t432 (not @t373)))) % 0.45/0.69 (step @p654 :rule cnf_and_neg :args (@t378)) % 0.45/0.69 (step @p655 :rule eq_resolve :premises (@p654 @p653)) % 0.45/0.69 (step @p656 :rule reordering :premises (@p655) :args ((or @t372 @t378 @t432))) % 0.45/0.69 (step @p657 :rule chain_m_resolution :premises (@p656 @p650 @p648) :args (@t372 (@list true false) (@list @t378 @t377))) % 0.45/0.69 (assume-push @p677 @t389) % 0.45/0.69 (assume-push @p678 @t386) % 0.45/0.69 (assume-push @p679 @t372) % 0.45/0.69 (step @p661 :rule cong :premises (@p657) :args (@t381)) % 0.45/0.69 (step @p662 :rule trans :premises (@p591 @p526 @p661)) % 0.45/0.69 (step-pop @p680 :rule scope :premises (@p662)) % 0.45/0.69 (step-pop @p681 :rule scope :premises (@p680)) % 0.45/0.69 (step-pop @p682 :rule scope :premises (@p681)) % 0.45/0.69 (step @p663 :rule process_scope :premises (@p682) :args (@t370)) % 0.45/0.69 (step @p667 :rule implies_elim :premises (@p663)) % 0.45/0.69 (step @p668 :rule cnf_and_neg :args (@t433)) % 0.45/0.69 (step @p669 :rule resolution :premises (@p668 @p667) :args (true @t433)) % 0.45/0.69 (step @p670 false :rule chain_m_resolution :premises (@p669 @p657 @p534 @p532 @p526) :args (false (@list false true false false) (@list @t372 @t370 @t386 @t389))) % 0.45/0.69 ) % 0.45/0.69 % SZS output end Proof % 0.45/0.69 % cvc5 exiting %------------------------------------------------------------------------------