%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV470+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 09:01:37 AM UTC 2026 % Result : Theorem 0.37s 0.72s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWV470+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.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 20:19:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.72 % SZS status Theorem % 0.37/0.72 % SZS output start Proof % 0.37/0.72 ( % 0.37/0.72 (declare-sort $$unsorted 0) % 0.37/0.72 (declare-const tptp.elid $$unsorted) % 0.37/0.72 (declare-const tptp.down $$unsorted) % 0.37/0.72 (declare-const tptp.index (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.ordered (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.pidMsg (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.elec_1 $$unsorted) % 0.37/0.72 (declare-const tptp.zero $$unsorted) % 0.37/0.72 (declare-const tptp.elem (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.m_Ack (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.setEmpty $$unsorted) % 0.37/0.72 (declare-const tptp.elec_2 $$unsorted) % 0.37/0.72 (declare-const tptp.queue (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.nbr_proc $$unsorted) % 0.37/0.72 (declare-const tptp.status $$unsorted) % 0.37/0.72 (declare-const tptp.setIn (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.wait $$unsorted) % 0.37/0.72 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.ldr $$unsorted) % 0.37/0.72 (declare-const tptp.norm $$unsorted) % 0.37/0.72 (declare-const tptp.m_Ldr (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.host (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.pids $$unsorted) % 0.37/0.72 (declare-const tptp.pidElem (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.m_Down (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.last (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.m_NotNorm (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.m_Halt (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.alive $$unsorted) % 0.37/0.72 (declare-const tptp.nil $$unsorted) % 0.37/0.72 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.snoc (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.init (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.m_NormQ (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.q_nil $$unsorted) % 0.37/0.72 (define @t1 () (@var "Pid2" $$unsorted)) % 0.37/0.72 (define @t2 () (@var "Pid" $$unsorted)) % 0.37/0.72 (define @t3 () (tptp.host @t2)) % 0.37/0.72 (define @t4 () (@list @t2 @t1)) % 0.37/0.72 (define @t5 () (@var "Q" $$unsorted)) % 0.37/0.72 (define @t6 () (tptp.host @t5)) % 0.37/0.72 (define @t7 () (@var "P" $$unsorted)) % 0.37/0.72 (define @t8 () (tptp.host @t7)) % 0.37/0.72 (define @t9 () (tptp.s tptp.zero)) % 0.37/0.72 (define @t10 () (@list @t7)) % 0.37/0.72 (define @t11 () (@var "Z" $$unsorted)) % 0.37/0.72 (define @t12 () (@var "Y" $$unsorted)) % 0.37/0.72 (define @t13 () (@var "X" $$unsorted)) % 0.37/0.72 (define @t14 () (tptp.m_Ack @t13 @t12)) % 0.37/0.72 (define @t15 () (@list @t13 @t12 @t11)) % 0.37/0.72 (define @t16 () (tptp.m_Down @t11)) % 0.37/0.72 (define @t17 () (forall @t15 (not (= @t14 @t16)))) % 0.37/0.72 (define @t18 () (tptp.m_Ldr @t11)) % 0.37/0.72 (define @t19 () (tptp.m_Halt @t12)) % 0.37/0.72 (define @t20 () (tptp.m_NotNorm @t13)) % 0.37/0.72 (define @t21 () (@list @t13 @t12)) % 0.37/0.72 (define @t22 () (tptp.m_Down @t13)) % 0.37/0.72 (define @t23 () (tptp.m_Ldr @t12)) % 0.37/0.72 (define @t24 () (tptp.m_NotNorm @t12)) % 0.37/0.72 (define @t25 () (tptp.m_NormQ @t12)) % 0.37/0.72 (define @t26 () (tptp.m_NormQ @t13)) % 0.37/0.72 (define @t27 () (tptp.m_Ldr @t13)) % 0.37/0.72 (define @t28 () (tptp.m_Halt @t13)) % 0.37/0.72 (define @t29 () (= @t13 @t12)) % 0.37/0.72 (define @t30 () (not @t29)) % 0.37/0.72 (define @t31 () (tptp.m_Down @t12)) % 0.37/0.72 (define @t32 () (@var "Y2" $$unsorted)) % 0.37/0.72 (define @t33 () (@var "X2" $$unsorted)) % 0.37/0.72 (define @t34 () (@var "Y1" $$unsorted)) % 0.37/0.72 (define @t35 () (@var "X1" $$unsorted)) % 0.37/0.72 (define @t36 () (not (= (tptp.m_Ack @t35 @t34) (tptp.m_Ack @t33 @t32)))) % 0.37/0.72 (define @t37 () (@list @t35 @t33 @t34 @t32)) % 0.37/0.72 (define @t38 () (tptp.cons @t13 @t5)) % 0.37/0.72 (define @t39 () (@list @t13 @t5)) % 0.37/0.72 (define @t40 () (tptp.snoc @t5 @t12)) % 0.37/0.72 (define @t41 () (@list @t12 @t5)) % 0.37/0.72 (define @t42 () (= @t5 tptp.q_nil)) % 0.37/0.72 (define @t43 () (@list @t5)) % 0.37/0.72 (define @t44 () (tptp.snoc tptp.q_nil @t13)) % 0.37/0.72 (define @t45 () (tptp.cons @t13 tptp.q_nil)) % 0.37/0.72 (define @t46 () (@list @t13)) % 0.37/0.72 (define @t47 () (@list @t13 @t12 @t5)) % 0.37/0.72 (define @t48 () (or @t29 (tptp.elem @t13 @t5))) % 0.37/0.72 (define @t49 () (forall @t47 (= (tptp.elem @t13 (tptp.cons @t12 @t5)) @t48))) % 0.37/0.72 (define @t50 () (tptp.elem @t13 @t40)) % 0.37/0.72 (define @t51 () (forall @t47 (= @t50 @t48))) % 0.37/0.72 (define @t52 () (@list @t12)) % 0.37/0.72 (define @t53 () (tptp.pidElem @t13)) % 0.37/0.72 (define @t54 () (tptp.pidMsg @t12)) % 0.37/0.72 (define @t55 () (tptp.pidMsg @t13)) % 0.37/0.72 (define @t56 () (and (tptp.elem @t12 @t5) @t53 (tptp.pidElem @t12) (= (tptp.host @t54) (tptp.host @t55)))) % 0.37/0.72 (define @t57 () (tptp.ordered @t5)) % 0.37/0.72 (define @t58 () (@list @t5 @t13 @t12)) % 0.37/0.72 (define @t59 () (tptp.leq @t13 @t12)) % 0.37/0.72 (define @t60 () (tptp.host @t12)) % 0.37/0.72 (define @t61 () (tptp.host @t13)) % 0.37/0.72 (define @t62 () (= @t61 @t60)) % 0.37/0.72 (define @t63 () (tptp.s @t13)) % 0.37/0.72 (define @t64 () (tptp.leq @t12 @t13)) % 0.37/0.72 (define @t65 () (tptp.s @t12)) % 0.37/0.72 (define @t66 () (@var "W" $$unsorted)) % 0.37/0.72 (define @t67 () (@var "V" $$unsorted)) % 0.37/0.72 (define @t68 () (tptp.snoc @t67 (tptp.m_Ack @t13 @t66))) % 0.37/0.72 (define @t69 () (tptp.elem @t16 @t68)) % 0.37/0.72 (define @t70 () (tptp.setIn @t12 tptp.alive)) % 0.37/0.72 (define @t71 () (not (and @t70 @t69))) % 0.37/0.72 (define @t72 () (@var "Y0" $$unsorted)) % 0.37/0.72 (define @t73 () (tptp.host @t72)) % 0.37/0.72 (define @t74 () (tptp.index tptp.status @t73)) % 0.37/0.72 (define @t75 () (tptp.host @t11)) % 0.37/0.72 (define @t76 () (@var "X0" $$unsorted)) % 0.37/0.72 (define @t77 () (tptp.elem (tptp.m_Down @t76) (tptp.queue @t73))) % 0.37/0.72 (define @t78 () (@var "V0" $$unsorted)) % 0.37/0.72 (define @t79 () (= @t78 (tptp.host @t76))) % 0.37/0.72 (define @t80 () (tptp.setIn @t78 (tptp.index tptp.down @t73))) % 0.37/0.72 (define @t81 () (or @t80 @t79)) % 0.37/0.72 (define @t82 () (tptp.leq @t9 @t78)) % 0.37/0.72 (define @t83 () (tptp.leq @t73 @t78)) % 0.37/0.72 (define @t84 () (not @t83)) % 0.37/0.72 (define @t85 () (and @t84 @t82)) % 0.37/0.72 (define @t86 () (@list @t78)) % 0.37/0.72 (define @t87 () (forall @t86 (=> @t85 @t81))) % 0.37/0.72 (define @t88 () (and @t87 @t77 (= @t73 @t75) (= @t73 tptp.nbr_proc) (= @t74 tptp.elec_1))) % 0.37/0.72 (define @t89 () (=> @t88 @t71)) % 0.37/0.72 (define @t90 () (tptp.host @t66)) % 0.37/0.72 (define @t91 () (= @t90 @t73)) % 0.37/0.72 (define @t92 () (not @t91)) % 0.37/0.72 (define @t93 () (=> @t92 @t89)) % 0.37/0.72 (define @t94 () (= @t61 @t73)) % 0.37/0.72 (define @t95 () (not @t94)) % 0.37/0.72 (define @t96 () (=> @t95 @t93)) % 0.37/0.72 (define @t97 () (@list @t11 @t76 @t72)) % 0.37/0.72 (define @t98 () (forall @t97 @t96)) % 0.37/0.72 (define @t99 () (=> (= @t90 @t60) @t98)) % 0.37/0.72 (define @t100 () (=> @t62 @t99)) % 0.37/0.72 (define @t101 () (forall @t52 @t100)) % 0.37/0.72 (define @t102 () (tptp.setIn @t66 tptp.alive)) % 0.37/0.72 (define @t103 () (=> @t102 @t101)) % 0.37/0.72 (define @t104 () (= (tptp.queue @t90) (tptp.cons @t28 @t67))) % 0.37/0.72 (define @t105 () (tptp.queue @t60)) % 0.37/0.72 (define @t106 () (tptp.elem @t16 @t105)) % 0.37/0.72 (define @t107 () (not (and @t70 @t106))) % 0.37/0.72 (define @t108 () (@var "Pid0" $$unsorted)) % 0.37/0.72 (define @t109 () (tptp.host @t108)) % 0.37/0.72 (define @t110 () (tptp.index tptp.status @t109)) % 0.37/0.72 (define @t111 () (= @t109 @t75)) % 0.37/0.72 (define @t112 () (@var "Pid20" $$unsorted)) % 0.37/0.72 (define @t113 () (tptp.elem (tptp.m_Down @t112) (tptp.queue @t109))) % 0.37/0.72 (define @t114 () (tptp.host @t112)) % 0.37/0.72 (define @t115 () (tptp.setIn @t78 (tptp.index tptp.down @t109))) % 0.37/0.72 (define @t116 () (or @t115 (= @t78 @t114))) % 0.37/0.72 (define @t117 () (tptp.leq @t109 @t78)) % 0.37/0.72 (define @t118 () (not @t117)) % 0.37/0.72 (define @t119 () (and @t118 @t82)) % 0.37/0.72 (define @t120 () (=> @t119 @t116)) % 0.37/0.72 (define @t121 () (forall @t86 @t120)) % 0.37/0.72 (define @t122 () (and @t121 @t113 @t111 (= @t109 tptp.nbr_proc) (= @t110 tptp.elec_1))) % 0.37/0.72 (define @t123 () (=> @t122 @t107)) % 0.37/0.72 (define @t124 () (@list @t12 @t11 @t112 @t108)) % 0.37/0.72 (define @t125 () (forall @t124 @t123)) % 0.37/0.72 (define @t126 () (tptp.setIn @t75 (tptp.index tptp.down @t114))) % 0.37/0.72 (define @t127 () (tptp.elem (tptp.m_Down @t108) @t105)) % 0.37/0.72 (define @t128 () (not (and @t127 @t126))) % 0.37/0.72 (define @t129 () (= @t109 @t114)) % 0.37/0.72 (define @t130 () (= @t75 @t60)) % 0.37/0.72 (define @t131 () (tptp.setIn @t112 tptp.alive)) % 0.37/0.72 (define @t132 () (not (= @t114 @t60))) % 0.37/0.72 (define @t133 () (and @t132 @t70 @t131 @t130 @t129)) % 0.37/0.72 (define @t134 () (=> @t133 @t128)) % 0.37/0.72 (define @t135 () (forall @t124 @t134)) % 0.37/0.72 (define @t136 () (tptp.elem @t16 (tptp.queue @t114))) % 0.37/0.72 (define @t137 () (not (and @t127 @t136))) % 0.37/0.72 (define @t138 () (=> @t133 @t137)) % 0.37/0.72 (define @t139 () (forall @t124 @t138)) % 0.37/0.72 (define @t140 () (tptp.queue @t75)) % 0.37/0.72 (define @t141 () (not (tptp.elem @t31 @t140))) % 0.37/0.72 (define @t142 () (tptp.host (tptp.index tptp.elid @t109))) % 0.37/0.72 (define @t143 () (= @t109 @t60)) % 0.37/0.72 (define @t144 () (tptp.setIn @t108 tptp.alive)) % 0.37/0.72 (define @t145 () (not @t111)) % 0.37/0.72 (define @t146 () (and @t145 @t144 @t143 (= @t110 tptp.wait) (= @t142 @t75))) % 0.37/0.72 (define @t147 () (=> @t146 @t141)) % 0.37/0.72 (define @t148 () (@list @t12 @t11 @t108)) % 0.37/0.72 (define @t149 () (forall @t148 @t147)) % 0.37/0.72 (define @t150 () (tptp.index tptp.ldr @t109)) % 0.37/0.72 (define @t151 () (and @t145 @t144 @t143 (= @t150 @t75) (= @t110 tptp.norm))) % 0.37/0.72 (define @t152 () (=> @t151 @t141)) % 0.37/0.72 (define @t153 () (forall @t148 @t152)) % 0.37/0.72 (define @t154 () (tptp.index tptp.elid @t60)) % 0.37/0.72 (define @t155 () (tptp.index tptp.status @t60)) % 0.37/0.72 (define @t156 () (or (= @t155 tptp.elec_1) (= @t155 tptp.elec_2))) % 0.37/0.72 (define @t157 () (and @t156 @t70)) % 0.37/0.72 (define @t158 () (=> @t157 (= @t154 @t12))) % 0.37/0.72 (define @t159 () (forall @t52 @t158)) % 0.37/0.72 (define @t160 () (not (tptp.setIn @t11 tptp.alive))) % 0.37/0.72 (define @t161 () (not @t70)) % 0.37/0.72 (define @t162 () (or @t161 @t160)) % 0.37/0.72 (define @t163 () (not (= @t11 @t12))) % 0.37/0.72 (define @t164 () (and @t163 @t130)) % 0.37/0.72 (define @t165 () (=> @t164 @t162)) % 0.37/0.72 (define @t166 () (@list @t12 @t11)) % 0.37/0.72 (define @t167 () (forall @t166 @t165)) % 0.37/0.72 (define @t168 () (not (tptp.elem @t24 @t140))) % 0.37/0.72 (define @t169 () (=> (= @t75 tptp.nbr_proc) @t168)) % 0.37/0.72 (define @t170 () (forall @t166 @t169)) % 0.37/0.72 (define @t171 () (not @t130)) % 0.37/0.72 (define @t172 () (=> @t106 @t171)) % 0.37/0.72 (define @t173 () (forall @t166 @t172)) % 0.37/0.72 (define @t174 () (not (tptp.leq @t60 @t75))) % 0.37/0.72 (define @t175 () (tptp.elem @t18 @t105)) % 0.37/0.72 (define @t176 () (forall @t166 (=> @t175 @t174))) % 0.37/0.72 (define @t177 () (and @t176 @t173 @t170 @t167 @t159 @t153 @t149 @t139 @t135 @t125 @t104)) % 0.37/0.72 (define @t178 () (=> @t177 @t103)) % 0.37/0.72 (define @t179 () (@list @t67 @t66 @t13)) % 0.37/0.72 (define @t180 () (forall @t179 @t178)) % 0.37/0.72 (define @t181 () (not @t180)) % 0.37/0.72 (define @t182 () (@var "BOUND_VARIABLE_8315" $$unsorted)) % 0.37/0.72 (define @t183 () (not (tptp.setIn @t182 tptp.alive))) % 0.37/0.72 (define @t184 () (tptp.host @t182)) % 0.37/0.72 (define @t185 () (not (= @t184 @t90))) % 0.37/0.72 (define @t186 () (not (= @t61 @t184))) % 0.37/0.72 (define @t187 () (@var "BOUND_VARIABLE_8282" $$unsorted)) % 0.37/0.72 (define @t188 () (not (tptp.elem (tptp.m_Down @t187) @t68))) % 0.37/0.72 (define @t189 () (@var "BOUND_VARIABLE_8286" $$unsorted)) % 0.37/0.72 (define @t190 () (tptp.host @t189)) % 0.37/0.72 (define @t191 () (not (= tptp.elec_1 (tptp.index tptp.status @t190)))) % 0.37/0.72 (define @t192 () (not (= tptp.nbr_proc @t190))) % 0.37/0.72 (define @t193 () (tptp.host @t187)) % 0.37/0.72 (define @t194 () (not (= @t193 @t190))) % 0.37/0.72 (define @t195 () (@var "BOUND_VARIABLE_8284" $$unsorted)) % 0.37/0.72 (define @t196 () (not (tptp.elem (tptp.m_Down @t195) (tptp.queue @t190)))) % 0.37/0.72 (define @t197 () (not @t82)) % 0.37/0.72 (define @t198 () (not (forall @t86 (or (tptp.leq @t190 @t78) @t197 (tptp.setIn @t78 (tptp.index tptp.down @t190)) (= @t78 (tptp.host @t195)))))) % 0.37/0.72 (define @t199 () (= @t90 @t190)) % 0.37/0.72 (define @t200 () (= @t61 @t190)) % 0.37/0.72 (define @t201 () (not @t102)) % 0.37/0.72 (define @t202 () (not @t104)) % 0.37/0.72 (define @t203 () (or @t202 @t201 @t200 @t199 @t198 @t196 @t194 @t192 @t191 @t188 @t186 @t185 @t183)) % 0.37/0.72 (define @t204 () (or @t186 @t185 @t183)) % 0.37/0.72 (define @t205 () (or @t200 @t199 @t198 @t196 @t194 @t192 @t191 @t188)) % 0.37/0.72 (define @t206 () (or @t202 @t201 @t205 @t204)) % 0.37/0.72 (define @t207 () (@list @t67 @t66 @t13 @t187 @t195 @t189 @t182)) % 0.37/0.72 (define @t208 () (forall @t207 @t206)) % 0.37/0.72 (define @t209 () (forall (@list @t187 @t195 @t189 @t182) @t206)) % 0.37/0.72 (define @t210 () (forall (@list @t182) @t204)) % 0.37/0.72 (define @t211 () (forall (@list @t187 @t195 @t189) @t205)) % 0.37/0.72 (define @t212 () (or @t202 @t201 @t211 @t210)) % 0.37/0.72 (define @t213 () (= @t60 @t90)) % 0.37/0.72 (define @t214 () (not @t213)) % 0.37/0.72 (define @t215 () (not @t62)) % 0.37/0.72 (define @t216 () (or @t215 @t214 @t161)) % 0.37/0.72 (define @t217 () (forall @t52 @t216)) % 0.37/0.72 (define @t218 () (not @t69)) % 0.37/0.72 (define @t219 () (= tptp.elec_1 @t74)) % 0.37/0.72 (define @t220 () (not @t219)) % 0.37/0.72 (define @t221 () (= tptp.nbr_proc @t73)) % 0.37/0.72 (define @t222 () (not @t221)) % 0.37/0.72 (define @t223 () (= @t75 @t73)) % 0.37/0.72 (define @t224 () (not @t223)) % 0.37/0.72 (define @t225 () (not @t77)) % 0.37/0.72 (define @t226 () (or @t83 @t197 @t80 @t79)) % 0.37/0.72 (define @t227 () (forall @t86 @t226)) % 0.37/0.72 (define @t228 () (not @t227)) % 0.37/0.72 (define @t229 () (or @t94 @t91 @t228 @t225 @t224 @t222 @t220 @t218)) % 0.37/0.72 (define @t230 () (forall @t97 @t229)) % 0.37/0.72 (define @t231 () (or @t202 @t201 @t230 @t217)) % 0.37/0.72 (define @t232 () (forall @t179 @t231)) % 0.37/0.72 (define @t233 () (not @t106)) % 0.37/0.72 (define @t234 () (= tptp.elec_1 @t110)) % 0.37/0.72 (define @t235 () (not @t234)) % 0.37/0.72 (define @t236 () (= tptp.nbr_proc @t109)) % 0.37/0.72 (define @t237 () (not @t236)) % 0.37/0.72 (define @t238 () (= @t75 @t109)) % 0.37/0.72 (define @t239 () (not @t238)) % 0.37/0.72 (define @t240 () (not @t113)) % 0.37/0.72 (define @t241 () (= @t114 @t78)) % 0.37/0.72 (define @t242 () (or @t117 @t197 @t115 @t241)) % 0.37/0.72 (define @t243 () (forall @t86 @t242)) % 0.37/0.72 (define @t244 () (not @t243)) % 0.37/0.72 (define @t245 () (or @t244 @t240 @t239 @t237 @t235 @t161 @t233)) % 0.37/0.72 (define @t246 () (forall @t124 @t245)) % 0.37/0.72 (define @t247 () (not @t246)) % 0.37/0.72 (define @t248 () (not @t126)) % 0.37/0.72 (define @t249 () (not @t127)) % 0.37/0.72 (define @t250 () (not @t129)) % 0.37/0.72 (define @t251 () (= @t60 @t75)) % 0.37/0.72 (define @t252 () (not @t251)) % 0.37/0.72 (define @t253 () (not @t131)) % 0.37/0.72 (define @t254 () (= @t60 @t114)) % 0.37/0.72 (define @t255 () (or @t254 @t161 @t253 @t252 @t250 @t249 @t248)) % 0.37/0.72 (define @t256 () (forall @t124 @t255)) % 0.37/0.72 (define @t257 () (not @t256)) % 0.37/0.72 (define @t258 () (not @t136)) % 0.37/0.72 (define @t259 () (or @t254 @t161 @t253 @t252 @t250 @t249 @t258)) % 0.37/0.72 (define @t260 () (forall @t124 @t259)) % 0.37/0.72 (define @t261 () (not @t260)) % 0.37/0.72 (define @t262 () (= @t75 @t142)) % 0.37/0.72 (define @t263 () (not @t262)) % 0.37/0.72 (define @t264 () (= tptp.wait @t110)) % 0.37/0.72 (define @t265 () (not @t264)) % 0.37/0.72 (define @t266 () (= @t60 @t109)) % 0.37/0.72 (define @t267 () (not @t266)) % 0.37/0.72 (define @t268 () (not @t144)) % 0.37/0.72 (define @t269 () (or @t238 @t268 @t267 @t265 @t263 @t141)) % 0.37/0.72 (define @t270 () (forall @t148 @t269)) % 0.37/0.72 (define @t271 () (not @t270)) % 0.37/0.72 (define @t272 () (= tptp.norm @t110)) % 0.37/0.72 (define @t273 () (not @t272)) % 0.37/0.72 (define @t274 () (= @t75 @t150)) % 0.37/0.72 (define @t275 () (not @t274)) % 0.37/0.72 (define @t276 () (or @t238 @t268 @t267 @t275 @t273 @t141)) % 0.37/0.72 (define @t277 () (forall @t148 @t276)) % 0.37/0.72 (define @t278 () (not @t277)) % 0.37/0.72 (define @t279 () (= @t12 @t154)) % 0.37/0.72 (define @t280 () (= tptp.elec_2 @t155)) % 0.37/0.72 (define @t281 () (= tptp.elec_1 @t155)) % 0.37/0.72 (define @t282 () (and (not @t281) (not @t280))) % 0.37/0.72 (define @t283 () (or @t282 @t161 @t279)) % 0.37/0.72 (define @t284 () (forall @t52 @t283)) % 0.37/0.72 (define @t285 () (not @t284)) % 0.37/0.72 (define @t286 () (= @t12 @t11)) % 0.37/0.72 (define @t287 () (or @t286 @t252 @t161 @t160)) % 0.37/0.72 (define @t288 () (forall @t166 @t287)) % 0.37/0.72 (define @t289 () (not @t288)) % 0.37/0.72 (define @t290 () (= tptp.nbr_proc @t75)) % 0.37/0.72 (define @t291 () (forall @t166 (or (not @t290) @t168))) % 0.37/0.72 (define @t292 () (not @t291)) % 0.37/0.72 (define @t293 () (forall @t166 (or @t233 @t252))) % 0.37/0.72 (define @t294 () (not @t293)) % 0.37/0.72 (define @t295 () (forall @t166 (or (not @t175) @t174))) % 0.37/0.72 (define @t296 () (not @t295)) % 0.37/0.72 (define @t297 () (or @t296 @t294 @t292 @t289 @t285 @t278 @t271 @t261 @t257 @t247 @t232)) % 0.37/0.72 (define @t298 () (or @t296 @t294 @t292 @t289 @t285 @t278 @t271 @t261 @t257 @t247 @t231)) % 0.37/0.72 (define @t299 () (or @t296 @t294 @t292 @t289 @t285 @t278 @t271 @t261 @t257 @t247 @t202 @t201 @t230 @t217)) % 0.37/0.72 (define @t300 () (or @t201 @t230 @t217)) % 0.37/0.72 (define @t301 () (or @t296 @t294 @t292 @t289 @t285 @t278 @t271 @t261 @t257 @t247 @t202)) % 0.37/0.72 (define @t302 () (or @t230 @t217)) % 0.37/0.72 (define @t303 () (=> @t102 @t302)) % 0.37/0.72 (define @t304 () (and @t295 @t293 @t291 @t288 @t284 @t277 @t270 @t260 @t256 @t246 @t104)) % 0.37/0.72 (define @t305 () (or @t230 @t216)) % 0.37/0.72 (define @t306 () (or @t215 @t214 @t161 @t230)) % 0.37/0.72 (define @t307 () (or @t214 @t161 @t230)) % 0.37/0.72 (define @t308 () (or @t161 @t230)) % 0.37/0.72 (define @t309 () (=> @t213 @t308)) % 0.37/0.72 (define @t310 () (or @t161 @t229)) % 0.37/0.72 (define @t311 () (or @t94 @t91 @t228 @t225 @t224 @t222 @t220 @t161 @t218)) % 0.37/0.72 (define @t312 () (or @t91 @t228 @t225 @t224 @t222 @t220 @t161 @t218)) % 0.37/0.72 (define @t313 () (or @t228 @t225 @t224 @t222 @t220 @t161 @t218)) % 0.37/0.72 (define @t314 () (or @t228 @t225 @t224 @t222 @t220)) % 0.37/0.72 (define @t315 () (and @t227 @t77 @t223 @t221 @t219)) % 0.37/0.72 (define @t316 () (=> @t315 @t71)) % 0.37/0.72 (define @t317 () (=> @t92 @t316)) % 0.37/0.72 (define @t318 () (or @t244 @t240 @t239 @t237 @t235)) % 0.37/0.72 (define @t319 () (and @t243 @t113 @t238 @t236 @t234)) % 0.37/0.72 (define @t320 () (or @t115 @t241)) % 0.37/0.72 (define @t321 () (or @t254 @t161 @t253 @t252 @t250)) % 0.37/0.72 (define @t322 () (not @t254)) % 0.37/0.72 (define @t323 () (not @t322)) % 0.37/0.72 (define @t324 () (or @t323 @t161 @t253 @t252 @t250)) % 0.37/0.72 (define @t325 () (and @t322 @t70 @t131 @t251 @t129)) % 0.37/0.72 (define @t326 () (not @t325)) % 0.37/0.72 (define @t327 () (not @t239)) % 0.37/0.72 (define @t328 () (or @t327 @t268 @t267 @t265 @t263)) % 0.37/0.72 (define @t329 () (and @t239 @t144 @t266 @t264 @t262)) % 0.37/0.72 (define @t330 () (or @t327 @t268 @t267 @t275 @t273)) % 0.37/0.72 (define @t331 () (and @t239 @t144 @t266 @t274 @t272)) % 0.37/0.72 (define @t332 () (or @t281 @t280)) % 0.37/0.72 (define @t333 () (and @t332 @t70)) % 0.37/0.72 (define @t334 () (not @t286)) % 0.37/0.72 (define @t335 () (and @t334 @t251)) % 0.37/0.72 (define @t336 () (forall @t207 (or @t202 @t201 @t200 @t199 @t198 @t196 (not (= @t190 @t193)) @t192 @t191 @t188 @t186 (not (= @t90 @t184)) @t183))) % 0.37/0.72 (define @t337 () (@quantifiers_skolemize @t336 1)) % 0.37/0.72 (define @t338 () (tptp.host @t337)) % 0.37/0.72 (define @t339 () (tptp.queue @t338)) % 0.37/0.72 (define @t340 () (@quantifiers_skolemize @t336 3)) % 0.37/0.72 (define @t341 () (tptp.m_Down @t340)) % 0.37/0.72 (define @t342 () (not (tptp.elem @t341 @t339))) % 0.37/0.72 (define @t343 () (tptp.setIn @t337 tptp.alive)) % 0.37/0.72 (define @t344 () (not @t343)) % 0.37/0.72 (define @t345 () (@quantifiers_skolemize @t336 5)) % 0.37/0.72 (define @t346 () (tptp.host @t345)) % 0.37/0.72 (define @t347 () (= tptp.elec_1 (tptp.index tptp.status @t346))) % 0.37/0.72 (define @t348 () (not @t347)) % 0.37/0.72 (define @t349 () (= tptp.nbr_proc @t346)) % 0.37/0.72 (define @t350 () (not @t349)) % 0.37/0.72 (define @t351 () (tptp.host @t340)) % 0.37/0.72 (define @t352 () (not (= @t351 @t346))) % 0.37/0.72 (define @t353 () (@quantifiers_skolemize @t336 4)) % 0.37/0.72 (define @t354 () (tptp.elem (tptp.m_Down @t353) (tptp.queue @t346))) % 0.37/0.72 (define @t355 () (not @t354)) % 0.37/0.72 (define @t356 () (tptp.host @t353)) % 0.37/0.72 (define @t357 () (tptp.setIn @t78 (tptp.index tptp.down @t346))) % 0.37/0.72 (define @t358 () (tptp.leq @t346 @t78)) % 0.37/0.72 (define @t359 () (or @t358 @t197 @t357 (= @t356 @t78))) % 0.37/0.72 (define @t360 () (forall @t86 @t359)) % 0.37/0.72 (define @t361 () (not @t360)) % 0.37/0.72 (define @t362 () (or @t361 @t355 @t352 @t350 @t348 @t344 @t342)) % 0.37/0.72 (define @t363 () (= @t346 @t351)) % 0.37/0.72 (define @t364 () (not @t363)) % 0.37/0.72 (define @t365 () (forall @t86 (or @t358 @t197 @t357 (= @t78 @t356)))) % 0.37/0.72 (define @t366 () (not @t365)) % 0.37/0.72 (define @t367 () (or @t366 @t355 @t364 @t350 @t348 @t344 @t342)) % 0.37/0.72 (define @t368 () (@list false)) % 0.37/0.72 (define @t369 () (@quantifiers_skolemize @t336 6)) % 0.37/0.72 (define @t370 () (tptp.host @t369)) % 0.37/0.72 (define @t371 () (= @t338 @t370)) % 0.37/0.72 (define @t372 () (not @t371)) % 0.37/0.72 (define @t373 () (@quantifiers_skolemize @t336 2)) % 0.37/0.72 (define @t374 () (tptp.host @t373)) % 0.37/0.72 (define @t375 () (= @t374 @t370)) % 0.37/0.72 (define @t376 () (not @t375)) % 0.37/0.72 (define @t377 () (tptp.m_Ack @t373 @t337)) % 0.37/0.72 (define @t378 () (@quantifiers_skolemize @t336 0)) % 0.37/0.72 (define @t379 () (tptp.elem @t341 (tptp.snoc @t378 @t377))) % 0.37/0.72 (define @t380 () (not @t379)) % 0.37/0.72 (define @t381 () (tptp.m_Halt @t373)) % 0.37/0.72 (define @t382 () (tptp.cons @t381 @t378)) % 0.37/0.72 (define @t383 () (= @t339 @t382)) % 0.37/0.72 (define @t384 () (not @t383)) % 0.37/0.72 (define @t385 () (or @t384 @t344 (= @t374 @t346) (= @t338 @t346) @t366 @t355 @t364 @t350 @t348 @t380 @t376 @t372 (not (tptp.setIn @t369 tptp.alive)))) % 0.37/0.72 (define @t386 () (@list true)) % 0.37/0.72 (define @t387 () (@list @t385)) % 0.37/0.72 (define @t388 () (tptp.queue @t374)) % 0.37/0.72 (define @t389 () (tptp.elem @t341 @t382)) % 0.37/0.72 (define @t390 () (tptp.elem @t341 @t378)) % 0.37/0.72 (define @t391 () (or (= @t341 @t381) @t390)) % 0.37/0.72 (define @t392 () (= @t389 @t391)) % 0.37/0.72 (define @t393 () (or (= @t381 @t341) @t390)) % 0.37/0.72 (define @t394 () (= @t389 @t393)) % 0.37/0.72 (define @t395 () (= @t341 @t377)) % 0.37/0.72 (define @t396 () (or @t395 @t390)) % 0.37/0.72 (define @t397 () (forall @t47 (= @t48 @t50))) % 0.37/0.72 (define @t398 () (= @t396 @t379)) % 0.37/0.72 (define @t399 () (= @t379 @t396)) % 0.37/0.72 (define @t400 () (@list false false)) % 0.37/0.72 (define @t401 () (not (= @t377 @t341))) % 0.37/0.72 (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))))) % 0.37/0.72 (assume @p2 (forall (@list @t7 @t5) (=> (= (tptp.s @t8) @t6) (not (= @t8 @t6))))) % 0.37/0.72 (assume @p3 (forall @t10 (tptp.leq @t9 @t8))) % 0.37/0.72 (assume @p4 (tptp.leq @t9 tptp.nbr_proc)) % 0.37/0.72 (assume @p5 (forall @t10 (tptp.leq @t8 tptp.nbr_proc))) % 0.37/0.72 (assume @p6 (not (= tptp.elec_1 tptp.elec_2))) % 0.37/0.72 (assume @p7 (not (= tptp.elec_1 tptp.wait))) % 0.37/0.72 (assume @p8 (not (= tptp.elec_1 tptp.norm))) % 0.37/0.72 (assume @p9 (not (= tptp.elec_2 tptp.wait))) % 0.37/0.72 (assume @p10 (not (= tptp.elec_2 tptp.norm))) % 0.37/0.72 (assume @p11 (not (= tptp.norm tptp.wait))) % 0.37/0.72 (assume @p12 (forall @t15 (not (= @t14 (tptp.m_Halt @t11))))) % 0.37/0.72 (assume @p13 @t17) % 0.37/0.72 (assume @p14 (forall @t15 (not (= @t14 (tptp.m_NotNorm @t11))))) % 0.37/0.72 (assume @p15 (forall @t15 (not (= @t14 @t18)))) % 0.37/0.72 (assume @p16 (forall @t15 (not (= @t14 (tptp.m_NormQ @t11))))) % 0.37/0.72 (assume @p17 (forall @t21 (not (= @t20 @t19)))) % 0.37/0.72 (assume @p18 (forall @t21 (not (= @t22 @t19)))) % 0.37/0.72 (assume @p19 (forall @t21 (not (= @t22 @t23)))) % 0.37/0.72 (assume @p20 (forall @t21 (not (= @t22 @t24)))) % 0.37/0.72 (assume @p21 (forall @t21 (not (= @t22 @t25)))) % 0.37/0.72 (assume @p22 (forall @t21 (not (= @t26 @t19)))) % 0.37/0.72 (assume @p23 (forall @t21 (not (= @t27 @t19)))) % 0.37/0.72 (assume @p24 (forall @t21 (not (= @t27 @t25)))) % 0.37/0.72 (assume @p25 (forall @t21 (not (= @t27 @t24)))) % 0.37/0.72 (assume @p26 (forall @t21 (not (= @t26 @t24)))) % 0.37/0.72 (assume @p27 (forall @t21 (= @t30 (not (= @t28 @t19))))) % 0.37/0.72 (assume @p28 (forall @t21 (= @t30 (not (= @t26 @t25))))) % 0.37/0.72 (assume @p29 (forall @t21 (= @t30 (not (= @t20 @t24))))) % 0.37/0.72 (assume @p30 (forall @t21 (= @t30 (not (= @t27 @t23))))) % 0.37/0.72 (assume @p31 (forall @t21 (= @t30 (not (= @t22 @t31))))) % 0.37/0.72 (assume @p32 (forall @t37 (=> (not (= @t35 @t33)) @t36))) % 0.37/0.72 (assume @p33 (forall @t37 (=> (not (= @t34 @t32)) @t36))) % 0.37/0.72 (assume @p34 (forall @t4 (=> (not (= @t3 (tptp.host @t1))) (not (= @t2 @t1))))) % 0.37/0.72 (assume @p35 (not (tptp.setIn tptp.nil tptp.alive))) % 0.37/0.72 (assume @p36 (forall @t39 (= (tptp.head @t38) @t13))) % 0.37/0.72 (assume @p37 (forall @t39 (= (tptp.tail @t38) @t5))) % 0.37/0.72 (assume @p38 (forall @t41 (= (tptp.last @t40) @t12))) % 0.37/0.72 (assume @p39 (forall @t41 (= (tptp.init @t40) @t5))) % 0.37/0.72 (assume @p40 (forall @t43 (or @t42 (= @t5 (tptp.cons (tptp.head @t5) (tptp.tail @t5)))))) % 0.37/0.72 (assume @p41 (forall @t43 (or @t42 (= @t5 (tptp.snoc (tptp.init @t5) (tptp.last @t5)))))) % 0.37/0.72 (assume @p42 (forall @t39 (not (= tptp.q_nil @t38)))) % 0.37/0.72 (assume @p43 (forall @t41 (not (= tptp.q_nil @t40)))) % 0.37/0.72 (assume @p44 (forall @t46 (= @t45 @t44))) % 0.37/0.72 (assume @p45 (forall @t47 (= (tptp.snoc @t38 @t12) (tptp.cons @t13 @t40)))) % 0.37/0.72 (assume @p46 (forall @t46 (not (tptp.elem @t13 tptp.q_nil)))) % 0.37/0.72 (assume @p47 @t49) % 0.37/0.72 (assume @p48 @t51) % 0.37/0.72 (assume @p49 (forall @t46 (= @t53 (exists @t52 (or (= @t13 @t19) (= @t13 @t31)))))) % 0.37/0.72 (assume @p50 (forall @t46 (= (tptp.pidMsg @t28) @t13))) % 0.37/0.72 (assume @p51 (forall @t46 (= (tptp.pidMsg @t22) @t13))) % 0.37/0.72 (assume @p52 (tptp.ordered tptp.q_nil)) % 0.37/0.72 (assume @p53 (forall @t46 (and (tptp.ordered @t45) (tptp.ordered @t44)))) % 0.37/0.72 (assume @p54 (forall @t39 (= (tptp.ordered @t38) (and @t57 (forall @t52 (=> @t56 (tptp.leq @t55 @t54))))))) % 0.37/0.72 (assume @p55 (forall @t39 (= (tptp.ordered (tptp.snoc @t5 @t13)) (and @t57 (forall @t52 (=> @t56 (tptp.leq @t54 @t55))))))) % 0.37/0.72 (assume @p56 (forall @t58 (=> @t57 (tptp.ordered (tptp.snoc @t5 @t14))))) % 0.37/0.72 (assume @p57 (forall (@list @t5 @t13) (=> @t57 (tptp.ordered (tptp.snoc @t5 @t27))))) % 0.37/0.72 (assume @p58 (forall @t58 (=> (and (tptp.ordered (tptp.cons @t28 @t5)) @t62 (tptp.elem @t31 @t5)) @t59))) % 0.37/0.72 (assume @p59 (forall @t46 (not (tptp.leq @t63 @t13)))) % 0.37/0.72 (assume @p60 (forall @t46 (tptp.leq @t13 @t13))) % 0.37/0.72 (assume @p61 (forall @t21 (or @t59 @t64))) % 0.37/0.72 (assume @p62 (forall @t21 (= (and @t59 @t64) @t29))) % 0.37/0.72 (assume @p63 (forall @t15 (=> (and @t59 (tptp.leq @t12 @t11)) (tptp.leq @t13 @t11)))) % 0.37/0.72 (assume @p64 (forall @t21 (= @t59 (tptp.leq @t63 @t65)))) % 0.37/0.72 (assume @p65 (forall @t21 (= (tptp.leq @t13 @t65) (or (= @t13 @t65) @t59)))) % 0.37/0.72 (assume @p66 (forall @t46 (not (tptp.setIn @t13 tptp.setEmpty)))) % 0.37/0.72 (assume @p67 @t181) % 0.37/0.72 (assume @p68 true) % 0.37/0.72 (step @p69 :rule evaluate :args ((= true false))) % 0.37/0.72 (step @p70 :rule refl :args (@t183)) % 0.37/0.72 (step @p71 :rule 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@p633 :rule cnf_equiv_pos2 :args (@t394)) % 0.37/0.72 (step @p634 :rule reordering :premises (@p633) :args ((or @t389 (not @t393) (not @t394)))) % 0.37/0.72 (step @p635 :rule chain_m_resolution :premises (@p634 @p632 @p593) :args (@t389 @t400 (@list @t393 @t394))) % 0.37/0.72 (step @p636 :rule true_intro :premises (@p635)) % 0.37/0.72 (step @p637 :rule symm :premises (@p636)) % 0.37/0.72 (step @p638 :rule trans :premises (@p637 @p579 @p569 @p552)) % 0.37/0.72 (step @p639 false :rule eq_resolve :premises (@p638 @p69)) % 0.37/0.72 ) % 0.37/0.72 % SZS output end Proof % 0.37/0.72 % cvc5 exiting %------------------------------------------------------------------------------