%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV468+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 09:01:36 AM UTC 2026 % Result : Theorem 0.47s 0.70s % Output : Proof 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV468+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n003.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 20:19:14 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/0.70 % SZS status Theorem % 0.47/0.70 % SZS output start Proof % 0.47/0.70 ( % 0.47/0.70 (declare-sort $$unsorted 0) % 0.47/0.70 (declare-const tptp.ldr $$unsorted) % 0.47/0.70 (declare-const tptp.elid $$unsorted) % 0.47/0.70 (declare-const tptp.pendack $$unsorted) % 0.47/0.70 (declare-const tptp.index (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.ordered (-> $$unsorted Bool)) % 0.47/0.70 (declare-const tptp.pidMsg (-> $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.elec_1 $$unsorted) % 0.47/0.70 (declare-const tptp.zero $$unsorted) % 0.47/0.70 (declare-const tptp.elem (-> $$unsorted $$unsorted Bool)) % 0.47/0.70 (declare-const tptp.m_Ack (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.setEmpty $$unsorted) % 0.47/0.70 (declare-const tptp.elec_2 $$unsorted) % 0.47/0.70 (declare-const tptp.queue (-> $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.nbr_proc $$unsorted) % 0.47/0.70 (declare-const tptp.status $$unsorted) % 0.47/0.70 (declare-const tptp.setIn (-> $$unsorted $$unsorted Bool)) % 0.47/0.70 (declare-const tptp.wait $$unsorted) % 0.47/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.47/0.70 (declare-const tptp.down $$unsorted) % 0.47/0.70 (declare-const tptp.norm $$unsorted) % 0.47/0.70 (declare-const tptp.m_Ldr (-> $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.host (-> $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.pids $$unsorted) % 0.47/0.70 (declare-const tptp.pidElem (-> $$unsorted Bool)) % 0.47/0.70 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.m_Down (-> $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.last (-> $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.m_NotNorm (-> $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.m_Halt (-> $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.alive $$unsorted) % 0.47/0.70 (declare-const tptp.nil $$unsorted) % 0.47/0.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.snoc (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.init (-> $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.m_NormQ (-> $$unsorted $$unsorted)) % 0.47/0.70 (declare-const tptp.q_nil $$unsorted) % 0.47/0.70 (define @t1 () (@var "Pid2" $$unsorted)) % 0.47/0.70 (define @t2 () (@var "Pid" $$unsorted)) % 0.47/0.70 (define @t3 () (tptp.host @t2)) % 0.47/0.70 (define @t4 () (@list @t2 @t1)) % 0.47/0.70 (define @t5 () (@var "Q" $$unsorted)) % 0.47/0.70 (define @t6 () (tptp.host @t5)) % 0.47/0.70 (define @t7 () (@var "P" $$unsorted)) % 0.47/0.70 (define @t8 () (tptp.host @t7)) % 0.47/0.70 (define @t9 () (tptp.s tptp.zero)) % 0.47/0.70 (define @t10 () (@list @t7)) % 0.47/0.70 (define @t11 () (@var "Z" $$unsorted)) % 0.47/0.70 (define @t12 () (@var "Y" $$unsorted)) % 0.47/0.70 (define @t13 () (@var "X" $$unsorted)) % 0.47/0.70 (define @t14 () (tptp.m_Ack @t13 @t12)) % 0.47/0.70 (define @t15 () (@list @t13 @t12 @t11)) % 0.47/0.70 (define @t16 () (tptp.m_Halt @t12)) % 0.47/0.70 (define @t17 () (tptp.m_NotNorm @t13)) % 0.47/0.70 (define @t18 () (@list @t13 @t12)) % 0.47/0.70 (define @t19 () (tptp.m_Down @t13)) % 0.47/0.70 (define @t20 () (tptp.m_Ldr @t12)) % 0.47/0.70 (define @t21 () (tptp.m_NotNorm @t12)) % 0.47/0.70 (define @t22 () (tptp.m_NormQ @t12)) % 0.47/0.70 (define @t23 () (tptp.m_NormQ @t13)) % 0.47/0.70 (define @t24 () (tptp.m_Ldr @t13)) % 0.47/0.70 (define @t25 () (tptp.m_Halt @t13)) % 0.47/0.70 (define @t26 () (= @t13 @t12)) % 0.47/0.70 (define @t27 () (not @t26)) % 0.47/0.70 (define @t28 () (tptp.m_Down @t12)) % 0.47/0.70 (define @t29 () (@var "Y2" $$unsorted)) % 0.47/0.70 (define @t30 () (@var "X2" $$unsorted)) % 0.47/0.70 (define @t31 () (@var "Y1" $$unsorted)) % 0.47/0.70 (define @t32 () (@var "X1" $$unsorted)) % 0.47/0.70 (define @t33 () (not (= (tptp.m_Ack @t32 @t31) (tptp.m_Ack @t30 @t29)))) % 0.47/0.70 (define @t34 () (@list @t32 @t30 @t31 @t29)) % 0.47/0.70 (define @t35 () (tptp.cons @t13 @t5)) % 0.47/0.70 (define @t36 () (@list @t13 @t5)) % 0.47/0.70 (define @t37 () (tptp.snoc @t5 @t12)) % 0.47/0.70 (define @t38 () (@list @t12 @t5)) % 0.47/0.70 (define @t39 () (= @t5 tptp.q_nil)) % 0.47/0.70 (define @t40 () (@list @t5)) % 0.47/0.70 (define @t41 () (tptp.snoc tptp.q_nil @t13)) % 0.47/0.70 (define @t42 () (tptp.cons @t13 tptp.q_nil)) % 0.47/0.70 (define @t43 () (@list @t13)) % 0.47/0.70 (define @t44 () (@list @t13 @t12 @t5)) % 0.47/0.70 (define @t45 () (or @t26 (tptp.elem @t13 @t5))) % 0.47/0.70 (define @t46 () (forall @t44 (= (tptp.elem @t13 (tptp.cons @t12 @t5)) @t45))) % 0.47/0.70 (define @t47 () (@list @t12)) % 0.47/0.70 (define @t48 () (tptp.pidElem @t13)) % 0.47/0.70 (define @t49 () (tptp.pidMsg @t12)) % 0.47/0.70 (define @t50 () (tptp.pidMsg @t13)) % 0.47/0.70 (define @t51 () (and (tptp.elem @t12 @t5) @t48 (tptp.pidElem @t12) (= (tptp.host @t49) (tptp.host @t50)))) % 0.47/0.70 (define @t52 () (tptp.ordered @t5)) % 0.47/0.70 (define @t53 () (@list @t5 @t13 @t12)) % 0.47/0.70 (define @t54 () (tptp.leq @t13 @t12)) % 0.47/0.70 (define @t55 () (tptp.host @t12)) % 0.47/0.70 (define @t56 () (tptp.host @t13)) % 0.47/0.70 (define @t57 () (tptp.s @t13)) % 0.47/0.70 (define @t58 () (tptp.leq @t12 @t13)) % 0.47/0.70 (define @t59 () (and @t54 @t58)) % 0.47/0.70 (define @t60 () (forall @t18 (= @t59 @t26))) % 0.47/0.70 (define @t61 () (tptp.s @t12)) % 0.47/0.70 (define @t62 () (@var "V0" $$unsorted)) % 0.47/0.70 (define @t63 () (tptp.host @t62)) % 0.47/0.70 (define @t64 () (= @t56 @t63)) % 0.47/0.70 (define @t65 () (tptp.setIn @t62 tptp.alive)) % 0.47/0.70 (define @t66 () (not (and @t65 @t64))) % 0.47/0.70 (define @t67 () (@var "W0" $$unsorted)) % 0.47/0.70 (define @t68 () (tptp.host @t67)) % 0.47/0.70 (define @t69 () (tptp.index tptp.status @t68)) % 0.47/0.70 (define @t70 () (tptp.setIn @t67 tptp.alive)) % 0.47/0.70 (define @t71 () (tptp.leq (tptp.index tptp.pendack @t68) @t63)) % 0.47/0.70 (define @t72 () (not @t71)) % 0.47/0.70 (define @t73 () (and @t72 @t70 (= @t69 tptp.elec_2))) % 0.47/0.70 (define @t74 () (=> @t73 @t66)) % 0.47/0.70 (define @t75 () (= @t56 @t68)) % 0.47/0.70 (define @t76 () (not @t75)) % 0.47/0.70 (define @t77 () (=> @t76 @t74)) % 0.47/0.70 (define @t78 () (@list @t67)) % 0.47/0.70 (define @t79 () (forall @t78 @t77)) % 0.47/0.70 (define @t80 () (=> @t64 @t79)) % 0.47/0.70 (define @t81 () (@list @t62)) % 0.47/0.70 (define @t82 () (forall @t81 @t80)) % 0.47/0.70 (define @t83 () (tptp.host @t11)) % 0.47/0.70 (define @t84 () (tptp.setIn @t83 tptp.setEmpty)) % 0.47/0.70 (define @t85 () (not @t84)) % 0.47/0.70 (define @t86 () (=> @t85 @t82)) % 0.47/0.70 (define @t87 () (@list @t11)) % 0.47/0.70 (define @t88 () (forall @t87 @t86)) % 0.47/0.70 (define @t89 () (tptp.leq tptp.nbr_proc @t56)) % 0.47/0.70 (define @t90 () (=> @t89 @t88)) % 0.47/0.70 (define @t91 () (tptp.index tptp.status @t56)) % 0.47/0.70 (define @t92 () (= @t11 @t55)) % 0.47/0.70 (define @t93 () (tptp.setIn @t11 (tptp.index tptp.down @t56))) % 0.47/0.70 (define @t94 () (or @t93 @t92)) % 0.47/0.70 (define @t95 () (tptp.leq @t9 @t11)) % 0.47/0.70 (define @t96 () (tptp.leq @t56 @t11)) % 0.47/0.70 (define @t97 () (not @t96)) % 0.47/0.70 (define @t98 () (and @t97 @t95)) % 0.47/0.70 (define @t99 () (forall @t87 (=> @t98 @t94))) % 0.47/0.70 (define @t100 () (and @t99 (= @t91 tptp.elec_1))) % 0.47/0.70 (define @t101 () (=> @t100 @t90)) % 0.47/0.70 (define @t102 () (= @t55 (tptp.host (tptp.index tptp.elid @t56)))) % 0.47/0.70 (define @t103 () (and (= @t91 tptp.wait) @t102)) % 0.47/0.70 (define @t104 () (tptp.index tptp.ldr @t56)) % 0.47/0.70 (define @t105 () (and (= @t104 @t55) (= @t91 tptp.norm))) % 0.47/0.70 (define @t106 () (or @t105 @t103)) % 0.47/0.70 (define @t107 () (not @t106)) % 0.47/0.70 (define @t108 () (=> @t107 @t101)) % 0.47/0.70 (define @t109 () (tptp.leq @t56 @t55)) % 0.47/0.70 (define @t110 () (not @t109)) % 0.47/0.70 (define @t111 () (=> @t110 @t108)) % 0.47/0.70 (define @t112 () (tptp.setIn @t13 tptp.alive)) % 0.47/0.70 (define @t113 () (=> @t112 @t111)) % 0.47/0.70 (define @t114 () (@var "V" $$unsorted)) % 0.47/0.70 (define @t115 () (= (tptp.queue @t56) (tptp.cons @t28 @t114))) % 0.47/0.70 (define @t116 () (tptp.index tptp.status @t83)) % 0.47/0.70 (define @t117 () (tptp.index tptp.ldr @t83)) % 0.47/0.70 (define @t118 () (tptp.setIn @t11 tptp.alive)) % 0.47/0.70 (define @t119 () (and @t118 (= @t117 @t83) (= @t116 tptp.norm))) % 0.47/0.70 (define @t120 () (not @t119)) % 0.47/0.70 (define @t121 () (@var "Pid0" $$unsorted)) % 0.47/0.70 (define @t122 () (tptp.host @t121)) % 0.47/0.70 (define @t123 () (tptp.index tptp.status @t122)) % 0.47/0.70 (define @t124 () (tptp.queue @t122)) % 0.47/0.70 (define @t125 () (@var "Pid20" $$unsorted)) % 0.47/0.70 (define @t126 () (tptp.m_Down @t125)) % 0.47/0.70 (define @t127 () (tptp.elem @t126 @t124)) % 0.47/0.70 (define @t128 () (tptp.leq @t122 @t83)) % 0.47/0.70 (define @t129 () (not @t128)) % 0.47/0.70 (define @t130 () (tptp.host @t125)) % 0.47/0.70 (define @t131 () (tptp.setIn @t62 (tptp.index tptp.down @t122))) % 0.47/0.70 (define @t132 () (or @t131 (= @t62 @t130))) % 0.47/0.70 (define @t133 () (tptp.leq @t9 @t62)) % 0.47/0.70 (define @t134 () (tptp.leq @t122 @t62)) % 0.47/0.70 (define @t135 () (not @t134)) % 0.47/0.70 (define @t136 () (and @t135 @t133)) % 0.47/0.70 (define @t137 () (=> @t136 @t132)) % 0.47/0.70 (define @t138 () (forall @t81 @t137)) % 0.47/0.70 (define @t139 () (and @t138 @t129 @t127 (= @t123 tptp.elec_1))) % 0.47/0.70 (define @t140 () (=> @t139 @t120)) % 0.47/0.70 (define @t141 () (@list @t11 @t125 @t121)) % 0.47/0.70 (define @t142 () (forall @t141 @t140)) % 0.47/0.70 (define @t143 () (= @t123 tptp.elec_2)) % 0.47/0.70 (define @t144 () (= @t130 @t83)) % 0.47/0.70 (define @t145 () (tptp.setIn @t121 tptp.alive)) % 0.47/0.70 (define @t146 () (and @t145 @t127 @t144 @t143)) % 0.47/0.70 (define @t147 () (=> @t146 @t120)) % 0.47/0.70 (define @t148 () (forall @t141 @t147)) % 0.47/0.70 (define @t149 () (tptp.index tptp.pendack @t122)) % 0.47/0.70 (define @t150 () (not (tptp.leq (tptp.index tptp.pendack @t83) @t149))) % 0.47/0.70 (define @t151 () (= @t116 tptp.elec_2)) % 0.47/0.70 (define @t152 () (tptp.leq @t83 @t122)) % 0.47/0.70 (define @t153 () (not @t152)) % 0.47/0.70 (define @t154 () (and @t153 @t118 @t145 @t151 @t143)) % 0.47/0.70 (define @t155 () (=> @t154 @t150)) % 0.47/0.70 (define @t156 () (@list @t11 @t121)) % 0.47/0.70 (define @t157 () (forall @t156 @t155)) % 0.47/0.70 (define @t158 () (tptp.leq @t149 @t83)) % 0.47/0.70 (define @t159 () (not @t158)) % 0.47/0.70 (define @t160 () (and @t159 @t145 @t143)) % 0.47/0.70 (define @t161 () (=> @t160 @t120)) % 0.47/0.70 (define @t162 () (forall @t156 @t161)) % 0.47/0.70 (define @t163 () (tptp.queue @t83)) % 0.47/0.70 (define @t164 () (tptp.elem @t126 @t163)) % 0.47/0.70 (define @t165 () (not (and @t118 @t164))) % 0.47/0.70 (define @t166 () (tptp.index tptp.ldr @t122)) % 0.47/0.70 (define @t167 () (= @t166 @t122)) % 0.47/0.70 (define @t168 () (= @t123 tptp.norm)) % 0.47/0.70 (define @t169 () (and @t145 (= @t130 @t122) @t168 @t167)) % 0.47/0.70 (define @t170 () (=> @t169 @t165)) % 0.47/0.70 (define @t171 () (forall @t141 @t170)) % 0.47/0.70 (define @t172 () (= @t122 @t130)) % 0.47/0.70 (define @t173 () (and @t118 @t145 @t164 @t172 @t143)) % 0.47/0.70 (define @t174 () (=> @t173 @t158)) % 0.47/0.70 (define @t175 () (forall @t141 @t174)) % 0.47/0.70 (define @t176 () (not (tptp.elem (tptp.m_Ack @t11 @t125) @t163))) % 0.47/0.70 (define @t177 () (and @t118 @t145 @t172 @t151 @t143)) % 0.47/0.70 (define @t178 () (=> @t177 @t176)) % 0.47/0.70 (define @t179 () (forall @t141 @t178)) % 0.47/0.70 (define @t180 () (tptp.elem (tptp.m_Ack @t121 @t125) @t124)) % 0.47/0.70 (define @t181 () (and @t145 @t180 @t144)) % 0.47/0.70 (define @t182 () (=> @t181 @t120)) % 0.47/0.70 (define @t183 () (forall @t141 @t182)) % 0.47/0.70 (define @t184 () (=> @t154 @t158)) % 0.47/0.70 (define @t185 () (forall @t156 @t184)) % 0.47/0.70 (define @t186 () (not @t164)) % 0.47/0.70 (define @t187 () (and @t129 @t118 @t145 @t172 @t143)) % 0.47/0.70 (define @t188 () (=> @t187 @t186)) % 0.47/0.70 (define @t189 () (forall @t141 @t188)) % 0.47/0.70 (define @t190 () (tptp.setIn @t122 (tptp.index tptp.down @t83))) % 0.47/0.70 (define @t191 () (not (and @t118 @t190))) % 0.47/0.70 (define @t192 () (and @t145 @t168 @t167)) % 0.47/0.70 (define @t193 () (=> @t192 @t191)) % 0.47/0.70 (define @t194 () (forall @t156 @t193)) % 0.47/0.70 (define @t195 () (and @t118 @t145 @t190 @t143)) % 0.47/0.70 (define @t196 () (=> @t195 @t158)) % 0.47/0.70 (define @t197 () (forall @t156 @t196)) % 0.47/0.70 (define @t198 () (tptp.index tptp.elid @t83)) % 0.47/0.70 (define @t199 () (or (= @t116 tptp.elec_1) @t151)) % 0.47/0.70 (define @t200 () (and @t199 @t118)) % 0.47/0.70 (define @t201 () (=> @t200 (= @t198 @t11))) % 0.47/0.70 (define @t202 () (forall @t87 @t201)) % 0.47/0.70 (define @t203 () (not (tptp.elem (tptp.m_Ack @t11 @t121) @t163))) % 0.47/0.70 (define @t204 () (and @t145 @t143)) % 0.47/0.70 (define @t205 () (=> @t204 @t203)) % 0.47/0.70 (define @t206 () (forall @t156 @t205)) % 0.47/0.70 (define @t207 () (not @t145)) % 0.47/0.70 (define @t208 () (not @t118)) % 0.47/0.70 (define @t209 () (or @t208 @t207)) % 0.47/0.70 (define @t210 () (not (= @t121 @t11))) % 0.47/0.70 (define @t211 () (and @t210 (= @t122 @t83))) % 0.47/0.70 (define @t212 () (=> @t211 @t209)) % 0.47/0.70 (define @t213 () (forall @t156 @t212)) % 0.47/0.70 (define @t214 () (tptp.elem (tptp.m_Ldr @t121) @t163)) % 0.47/0.70 (define @t215 () (forall @t156 (=> @t214 @t153))) % 0.47/0.70 (define @t216 () (and @t215 @t213 @t206 @t202 @t197 @t194 @t189 @t185 @t183 @t179 @t175 @t171 @t162 @t157 @t148 @t142 @t115)) % 0.47/0.70 (define @t217 () (=> @t216 @t113)) % 0.47/0.70 (define @t218 () (@list @t114 (@var "W" $$unsorted) @t13 @t12)) % 0.47/0.70 (define @t219 () (forall @t218 @t217)) % 0.47/0.70 (define @t220 () (not @t219)) % 0.47/0.70 (define @t221 () (@var "BOUND_VARIABLE_8403" $$unsorted)) % 0.47/0.70 (define @t222 () (tptp.host @t221)) % 0.47/0.70 (define @t223 () (not (= tptp.elec_2 (tptp.index tptp.status @t222)))) % 0.47/0.70 (define @t224 () (not (tptp.setIn @t221 tptp.alive))) % 0.47/0.70 (define @t225 () (@var "BOUND_VARIABLE_8401" $$unsorted)) % 0.47/0.70 (define @t226 () (tptp.host @t225)) % 0.47/0.70 (define @t227 () (tptp.leq (tptp.index tptp.pendack @t222) @t226)) % 0.47/0.70 (define @t228 () (= @t56 @t222)) % 0.47/0.70 (define @t229 () (not (tptp.setIn @t225 tptp.alive))) % 0.47/0.70 (define @t230 () (not (= @t56 @t226))) % 0.47/0.70 (define @t231 () (not @t89)) % 0.47/0.70 (define @t232 () (= tptp.elec_1 @t91)) % 0.47/0.70 (define @t233 () (not @t232)) % 0.47/0.70 (define @t234 () (not @t95)) % 0.47/0.70 (define @t235 () (or @t96 @t234 @t93 @t92)) % 0.47/0.70 (define @t236 () (forall @t87 @t235)) % 0.47/0.70 (define @t237 () (not @t236)) % 0.47/0.70 (define @t238 () (and (= tptp.wait @t91) @t102)) % 0.47/0.70 (define @t239 () (and (= @t55 @t104) (= tptp.norm @t91))) % 0.47/0.70 (define @t240 () (not @t112)) % 0.47/0.70 (define @t241 () (not @t115)) % 0.47/0.70 (define @t242 () (or @t241 @t240 @t109 @t239 @t238 @t237 @t233 @t231 @t230 @t229 @t228 @t227 @t224 @t223)) % 0.47/0.70 (define @t243 () (@list @t114 @t13 @t12 @t225 @t221)) % 0.47/0.70 (define @t244 () (forall @t243 @t242)) % 0.47/0.70 (define @t245 () (@quantifiers_skolemize @t244 4)) % 0.47/0.70 (define @t246 () (@list @t245)) % 0.47/0.70 (define @t247 () (or @t230 @t229 @t228 @t227 @t224 @t223)) % 0.47/0.70 (define @t248 () (or @t241 @t240 @t109 @t239 @t238 @t237 @t233 @t231 @t247)) % 0.47/0.70 (define @t249 () (forall @t243 @t248)) % 0.47/0.70 (define @t250 () (@list @t225 @t221)) % 0.47/0.70 (define @t251 () (forall @t250 @t248)) % 0.47/0.70 (define @t252 () (@list @t114 @t13 @t12)) % 0.47/0.70 (define @t253 () (forall @t250 @t247)) % 0.47/0.70 (define @t254 () (@var "BOUND_VARIABLE_8335" $$unsorted)) % 0.47/0.70 (define @t255 () (or @t241 @t240 @t109 @t239 @t238 @t237 @t233 @t231 @t253)) % 0.47/0.70 (define @t256 () (tptp.host @t254)) % 0.47/0.70 (define @t257 () (not (= tptp.elec_2 (tptp.index tptp.status @t256)))) % 0.47/0.70 (define @t258 () (not (tptp.setIn @t254 tptp.alive))) % 0.47/0.70 (define @t259 () (tptp.leq (tptp.index tptp.pendack @t256) @t63)) % 0.47/0.70 (define @t260 () (= @t56 @t256)) % 0.47/0.70 (define @t261 () (not @t65)) % 0.47/0.70 (define @t262 () (not @t64)) % 0.47/0.70 (define @t263 () (or @t262 @t261 @t260 @t259 @t258 @t257)) % 0.47/0.70 (define @t264 () (@list @t62 @t254)) % 0.47/0.70 (define @t265 () (forall @t264 @t263)) % 0.47/0.70 (define @t266 () (or @t241 @t240 @t109 @t239 @t238 @t237 @t233 @t231 @t265)) % 0.47/0.70 (define @t267 () (forall @t252 @t266)) % 0.47/0.70 (define @t268 () (forall @t87 @t84)) % 0.47/0.70 (define @t269 () (= tptp.norm @t116)) % 0.47/0.70 (define @t270 () (not @t269)) % 0.47/0.70 (define @t271 () (= @t83 @t117)) % 0.47/0.70 (define @t272 () (not @t271)) % 0.47/0.70 (define @t273 () (= tptp.elec_1 @t123)) % 0.47/0.70 (define @t274 () (not @t273)) % 0.47/0.70 (define @t275 () (not @t127)) % 0.47/0.70 (define @t276 () (= @t130 @t62)) % 0.47/0.70 (define @t277 () (not @t133)) % 0.47/0.70 (define @t278 () (or @t134 @t277 @t131 @t276)) % 0.47/0.70 (define @t279 () (forall @t81 @t278)) % 0.47/0.70 (define @t280 () (not @t279)) % 0.47/0.70 (define @t281 () (or @t280 @t128 @t275 @t274 @t208 @t272 @t270)) % 0.47/0.70 (define @t282 () (forall @t141 @t281)) % 0.47/0.70 (define @t283 () (not @t282)) % 0.47/0.70 (define @t284 () (= tptp.elec_2 @t123)) % 0.47/0.70 (define @t285 () (not @t284)) % 0.47/0.70 (define @t286 () (= @t83 @t130)) % 0.47/0.70 (define @t287 () (not @t286)) % 0.47/0.70 (define @t288 () (or @t207 @t275 @t287 @t285 @t208 @t272 @t270)) % 0.47/0.70 (define @t289 () (forall @t141 @t288)) % 0.47/0.70 (define @t290 () (not @t289)) % 0.47/0.70 (define @t291 () (= tptp.elec_2 @t116)) % 0.47/0.70 (define @t292 () (not @t291)) % 0.47/0.70 (define @t293 () (or @t152 @t208 @t207 @t292 @t285 @t150)) % 0.47/0.70 (define @t294 () (forall @t156 @t293)) % 0.47/0.70 (define @t295 () (not @t294)) % 0.47/0.70 (define @t296 () (or @t158 @t207 @t285 @t208 @t272 @t270)) % 0.47/0.70 (define @t297 () (forall @t156 @t296)) % 0.47/0.70 (define @t298 () (not @t297)) % 0.47/0.70 (define @t299 () (= @t122 @t166)) % 0.47/0.70 (define @t300 () (not @t299)) % 0.47/0.70 (define @t301 () (= tptp.norm @t123)) % 0.47/0.70 (define @t302 () (not @t301)) % 0.47/0.70 (define @t303 () (not @t172)) % 0.47/0.70 (define @t304 () (or @t207 @t303 @t302 @t300 @t208 @t186)) % 0.47/0.70 (define @t305 () (forall @t141 @t304)) % 0.47/0.70 (define @t306 () (not @t305)) % 0.47/0.70 (define @t307 () (or @t208 @t207 @t186 @t303 @t285 @t158)) % 0.47/0.70 (define @t308 () (forall @t141 @t307)) % 0.47/0.70 (define @t309 () (not @t308)) % 0.47/0.70 (define @t310 () (or @t208 @t207 @t303 @t292 @t285 @t176)) % 0.47/0.70 (define @t311 () (forall @t141 @t310)) % 0.47/0.70 (define @t312 () (not @t311)) % 0.47/0.70 (define @t313 () (not @t180)) % 0.47/0.70 (define @t314 () (or @t207 @t313 @t287 @t208 @t272 @t270)) % 0.47/0.70 (define @t315 () (forall @t141 @t314)) % 0.47/0.70 (define @t316 () (not @t315)) % 0.47/0.70 (define @t317 () (or @t152 @t208 @t207 @t292 @t285 @t158)) % 0.47/0.70 (define @t318 () (forall @t156 @t317)) % 0.47/0.70 (define @t319 () (not @t318)) % 0.47/0.70 (define @t320 () (or @t128 @t208 @t207 @t303 @t285 @t186)) % 0.47/0.70 (define @t321 () (forall @t141 @t320)) % 0.47/0.70 (define @t322 () (not @t321)) % 0.47/0.70 (define @t323 () (not @t190)) % 0.47/0.70 (define @t324 () (or @t207 @t302 @t300 @t208 @t323)) % 0.47/0.70 (define @t325 () (forall @t156 @t324)) % 0.47/0.70 (define @t326 () (not @t325)) % 0.47/0.70 (define @t327 () (or @t208 @t207 @t323 @t285 @t158)) % 0.47/0.70 (define @t328 () (forall @t156 @t327)) % 0.47/0.70 (define @t329 () (not @t328)) % 0.47/0.70 (define @t330 () (= @t11 @t198)) % 0.47/0.70 (define @t331 () (= tptp.elec_1 @t116)) % 0.47/0.70 (define @t332 () (and (not @t331) @t292)) % 0.47/0.70 (define @t333 () (or @t332 @t208 @t330)) % 0.47/0.70 (define @t334 () (forall @t87 @t333)) % 0.47/0.70 (define @t335 () (not @t334)) % 0.47/0.70 (define @t336 () (or @t207 @t285 @t203)) % 0.47/0.70 (define @t337 () (forall @t156 @t336)) % 0.47/0.70 (define @t338 () (not @t337)) % 0.47/0.70 (define @t339 () (= @t83 @t122)) % 0.47/0.70 (define @t340 () (not @t339)) % 0.47/0.70 (define @t341 () (= @t11 @t121)) % 0.47/0.70 (define @t342 () (or @t341 @t340 @t208 @t207)) % 0.47/0.70 (define @t343 () (forall @t156 @t342)) % 0.47/0.70 (define @t344 () (not @t343)) % 0.47/0.70 (define @t345 () (forall @t156 (or (not @t214) @t153))) % 0.47/0.70 (define @t346 () (not @t345)) % 0.47/0.70 (define @t347 () (or @t346 @t344 @t338 @t335 @t329 @t326 @t322 @t319 @t316 @t312 @t309 @t306 @t298 @t295 @t290 @t283 @t268 @t267)) % 0.47/0.70 (define @t348 () (or @t346 @t344 @t338 @t335 @t329 @t326 @t322 @t319 @t316 @t312 @t309 @t306 @t298 @t295 @t290 @t283 @t268 @t266)) % 0.47/0.70 (define @t349 () (or @t346 @t344 @t338 @t335 @t329 @t326 @t322 @t319 @t316 @t312 @t309 @t306 @t298 @t295 @t290 @t283 @t241 @t240 @t109 @t239 @t238 @t237 @t233 @t231 @t265 @t268)) % 0.47/0.70 (define @t350 () (forall @t252 @t349)) % 0.47/0.70 (define @t351 () (or @t240 @t109 @t239 @t238 @t237 @t233 @t231 @t265 @t268)) % 0.47/0.70 (define @t352 () (or @t346 @t344 @t338 @t335 @t329 @t326 @t322 @t319 @t316 @t312 @t309 @t306 @t298 @t295 @t290 @t283 @t241)) % 0.47/0.70 (define @t353 () (or @t109 @t239 @t238 @t237 @t233 @t231 @t265 @t268)) % 0.47/0.70 (define @t354 () (or @t239 @t238 @t237 @t233 @t231 @t265 @t268)) % 0.47/0.70 (define @t355 () (or @t237 @t233 @t231 @t265 @t268)) % 0.47/0.70 (define @t356 () (or @t239 @t238)) % 0.47/0.70 (define @t357 () (or @t231 @t265 @t268)) % 0.47/0.70 (define @t358 () (or @t265 @t268)) % 0.47/0.70 (define @t359 () (=> @t89 @t358)) % 0.47/0.70 (define @t360 () (and @t236 @t232)) % 0.47/0.70 (define @t361 () (=> @t360 @t359)) % 0.47/0.70 (define @t362 () (not @t356)) % 0.47/0.70 (define @t363 () (=> @t362 @t361)) % 0.47/0.70 (define @t364 () (=> @t110 @t363)) % 0.47/0.70 (define @t365 () (=> @t112 @t364)) % 0.47/0.70 (define @t366 () (and @t345 @t343 @t337 @t334 @t328 @t325 @t321 @t318 @t315 @t311 @t308 @t305 @t297 @t294 @t289 @t282 @t115)) % 0.47/0.70 (define @t367 () (or @t265 @t84)) % 0.47/0.70 (define @t368 () (or @t84 @t265)) % 0.47/0.70 (define @t369 () (or @t260 @t259 @t258 @t257)) % 0.47/0.70 (define @t370 () (or @t262 @t261 @t369)) % 0.47/0.70 (define @t371 () (forall @t264 @t370)) % 0.47/0.70 (define @t372 () (@list @t254)) % 0.47/0.70 (define @t373 () (forall @t372 @t370)) % 0.47/0.70 (define @t374 () (forall @t372 @t369)) % 0.47/0.70 (define @t375 () (or @t262 @t261 @t374)) % 0.47/0.70 (define @t376 () (= tptp.elec_2 @t69)) % 0.47/0.70 (define @t377 () (not @t376)) % 0.47/0.70 (define @t378 () (not @t70)) % 0.47/0.70 (define @t379 () (or @t75 @t71 @t378 @t377)) % 0.47/0.70 (define @t380 () (forall @t78 @t379)) % 0.47/0.70 (define @t381 () (or @t262 @t261 @t380)) % 0.47/0.70 (define @t382 () (or @t261 @t262 @t380)) % 0.47/0.70 (define @t383 () (or @t261 @t262 @t379)) % 0.47/0.70 (define @t384 () (or @t75 @t71 @t378 @t377 @t261 @t262)) % 0.47/0.70 (define @t385 () (or @t71 @t378 @t377 @t261 @t262)) % 0.47/0.70 (define @t386 () (not @t72)) % 0.47/0.70 (define @t387 () (or @t386 @t378 @t377)) % 0.47/0.70 (define @t388 () (and @t72 @t70 @t376)) % 0.47/0.70 (define @t389 () (=> @t388 @t66)) % 0.47/0.70 (define @t390 () (or @t208 @t272 @t270)) % 0.47/0.70 (define @t391 () (not @t129)) % 0.47/0.70 (define @t392 () (or @t280 @t391 @t275 @t274)) % 0.47/0.70 (define @t393 () (not (and @t118 @t271 @t269))) % 0.47/0.70 (define @t394 () (and @t279 @t129 @t127 @t273)) % 0.47/0.70 (define @t395 () (or @t131 @t276)) % 0.47/0.70 (define @t396 () (or @t207 @t275 @t287 @t285)) % 0.47/0.70 (define @t397 () (and @t145 @t127 @t286 @t284)) % 0.47/0.70 (define @t398 () (or @t152 @t208 @t207 @t292 @t285)) % 0.47/0.70 (define @t399 () (not @t153)) % 0.47/0.70 (define @t400 () (or @t399 @t208 @t207 @t292 @t285)) % 0.47/0.70 (define @t401 () (or @t292 @t285)) % 0.47/0.70 (define @t402 () (not (and @t291 @t284))) % 0.47/0.70 (define @t403 () (and @t153 @t118 @t145 @t291 @t284)) % 0.47/0.70 (define @t404 () (not @t403)) % 0.47/0.70 (define @t405 () (not @t159)) % 0.47/0.70 (define @t406 () (or @t405 @t207 @t285)) % 0.47/0.70 (define @t407 () (or @t207 @t285)) % 0.47/0.70 (define @t408 () (and @t145 @t284)) % 0.47/0.70 (define @t409 () (not @t408)) % 0.47/0.70 (define @t410 () (and @t159 @t145 @t284)) % 0.47/0.70 (define @t411 () (or @t207 @t303 @t302 @t300)) % 0.47/0.70 (define @t412 () (or @t302 @t300)) % 0.47/0.70 (define @t413 () (not (and @t301 @t299))) % 0.47/0.70 (define @t414 () (and @t145 @t172 @t301 @t299)) % 0.47/0.70 (define @t415 () (or @t208 @t207 @t186 @t303 @t285)) % 0.47/0.70 (define @t416 () (or @t303 @t285)) % 0.47/0.70 (define @t417 () (not (and @t172 @t284))) % 0.47/0.70 (define @t418 () (and @t118 @t145 @t164 @t172 @t284)) % 0.47/0.70 (define @t419 () (or @t208 @t207 @t303 @t292 @t285)) % 0.47/0.70 (define @t420 () (and @t118 @t145 @t172 @t291 @t284)) % 0.47/0.70 (define @t421 () (or @t207 @t313 @t287)) % 0.47/0.70 (define @t422 () (and @t145 @t180 @t286)) % 0.47/0.70 (define @t423 () (or @t391 @t208 @t207 @t303 @t285)) % 0.47/0.70 (define @t424 () (and @t129 @t118 @t145 @t172 @t284)) % 0.47/0.70 (define @t425 () (or @t207 @t302 @t300)) % 0.47/0.70 (define @t426 () (and @t145 @t301 @t299)) % 0.47/0.70 (define @t427 () (or @t208 @t207 @t323 @t285)) % 0.47/0.70 (define @t428 () (and @t118 @t145 @t190 @t284)) % 0.47/0.70 (define @t429 () (or @t331 @t291)) % 0.47/0.70 (define @t430 () (and @t429 @t118)) % 0.47/0.70 (define @t431 () (not @t341)) % 0.47/0.70 (define @t432 () (and @t431 @t339)) % 0.47/0.70 (define @t433 () (@quantifiers_skolemize @t244 1)) % 0.47/0.70 (define @t434 () (tptp.host @t245)) % 0.47/0.70 (define @t435 () (= tptp.elec_2 (tptp.index tptp.status @t434))) % 0.47/0.70 (define @t436 () (not @t435)) % 0.47/0.70 (define @t437 () (tptp.setIn @t245 tptp.alive)) % 0.47/0.70 (define @t438 () (not @t437)) % 0.47/0.70 (define @t439 () (@quantifiers_skolemize @t244 3)) % 0.47/0.70 (define @t440 () (tptp.host @t439)) % 0.47/0.70 (define @t441 () (tptp.index tptp.pendack @t434)) % 0.47/0.70 (define @t442 () (tptp.leq @t441 @t440)) % 0.47/0.70 (define @t443 () (tptp.host @t433)) % 0.47/0.70 (define @t444 () (= @t443 @t434)) % 0.47/0.70 (define @t445 () (= @t443 @t440)) % 0.47/0.70 (define @t446 () (not @t445)) % 0.47/0.70 (define @t447 () (tptp.leq tptp.nbr_proc @t443)) % 0.47/0.70 (define @t448 () (not @t447)) % 0.47/0.70 (define @t449 () (tptp.index tptp.status @t443)) % 0.47/0.70 (define @t450 () (= tptp.elec_1 @t449)) % 0.47/0.70 (define @t451 () (not @t450)) % 0.47/0.70 (define @t452 () (@quantifiers_skolemize @t244 2)) % 0.47/0.70 (define @t453 () (tptp.host @t452)) % 0.47/0.70 (define @t454 () (tptp.index tptp.down @t443)) % 0.47/0.70 (define @t455 () (forall @t87 (or (tptp.leq @t443 @t11) @t234 (tptp.setIn @t11 @t454) (= @t11 @t453)))) % 0.47/0.70 (define @t456 () (not @t455)) % 0.47/0.70 (define @t457 () (tptp.index tptp.elid @t443)) % 0.47/0.70 (define @t458 () (tptp.host @t457)) % 0.47/0.70 (define @t459 () (tptp.setIn @t433 tptp.alive)) % 0.47/0.70 (define @t460 () (not @t459)) % 0.47/0.70 (define @t461 () (@quantifiers_skolemize @t244 0)) % 0.47/0.70 (define @t462 () (tptp.m_Down @t452)) % 0.47/0.70 (define @t463 () (tptp.cons @t462 @t461)) % 0.47/0.70 (define @t464 () (tptp.queue @t443)) % 0.47/0.70 (define @t465 () (= @t464 @t463)) % 0.47/0.70 (define @t466 () (not @t465)) % 0.47/0.70 (define @t467 () (or @t466 @t460 (tptp.leq @t443 @t453) (and (= @t453 (tptp.index tptp.ldr @t443)) (= tptp.norm @t449)) (and (= tptp.wait @t449) (= @t453 @t458)) @t456 @t451 @t448 @t446 (not (tptp.setIn @t439 tptp.alive)) @t444 @t442 @t438 @t436)) % 0.47/0.70 (define @t468 () (@list true)) % 0.47/0.70 (define @t469 () (@list @t467)) % 0.47/0.70 (define @t470 () (tptp.leq @t441 @t443)) % 0.47/0.70 (define @t471 () (tptp.setIn @t434 @t454)) % 0.47/0.70 (define @t472 () (not @t471)) % 0.47/0.70 (define @t473 () (or @t460 @t438 @t472 @t436 @t470)) % 0.47/0.70 (define @t474 () (tptp.leq @t9 @t434)) % 0.47/0.70 (define @t475 () (not @t474)) % 0.47/0.70 (define @t476 () (tptp.leq @t443 @t434)) % 0.47/0.70 (define @t477 () (= @t434 @t453)) % 0.47/0.70 (define @t478 () (or @t476 @t475 @t471 @t477)) % 0.47/0.70 (define @t479 () (= @t453 @t434)) % 0.47/0.70 (define @t480 () (or @t476 @t475 @t471 @t479)) % 0.47/0.70 (define @t481 () (@list false)) % 0.47/0.70 (define @t482 () (tptp.leq @t458 @t434)) % 0.47/0.70 (define @t483 () (tptp.leq @t434 @t458)) % 0.47/0.70 (define @t484 () (and @t483 @t482)) % 0.47/0.70 (define @t485 () (= (= @t434 @t458) @t484)) % 0.47/0.70 (define @t486 () (forall @t18 (= @t26 @t59))) % 0.47/0.70 (define @t487 () (= @t458 @t434)) % 0.47/0.70 (define @t488 () (= @t487 @t484)) % 0.47/0.70 (define @t489 () (@list @t433)) % 0.47/0.70 (define @t490 () (and @t451 (not (= tptp.elec_2 @t449)))) % 0.47/0.70 (define @t491 () (not @t490)) % 0.47/0.70 (define @t492 () (= @t433 @t457)) % 0.47/0.70 (define @t493 () (or @t490 @t460 @t492)) % 0.47/0.70 (define @t494 () (not @t484)) % 0.47/0.70 (define @t495 () (tptp.leq @t443 tptp.nbr_proc)) % 0.47/0.70 (define @t496 () (and @t447 @t495)) % 0.47/0.70 (define @t497 () (@list false false)) % 0.47/0.70 (define @t498 () (= tptp.nbr_proc @t443)) % 0.47/0.70 (define @t499 () (= @t498 @t496)) % 0.47/0.70 (define @t500 () (not @t482)) % 0.47/0.70 (define @t501 () (not @t477)) % 0.47/0.70 (define @t502 () (tptp.elem @t462 @t464)) % 0.47/0.70 (define @t503 () (not @t502)) % 0.47/0.70 (define @t504 () (or @t460 @t438 @t503 @t501 @t436 @t470)) % 0.47/0.70 (define @t505 () (not @t479)) % 0.47/0.70 (define @t506 () (or @t460 @t438 @t503 @t505 @t436 @t470)) % 0.47/0.70 (define @t507 () (tptp.elem @t462 @t463)) % 0.47/0.70 (define @t508 () (tptp.elem @t462 @t461)) % 0.47/0.70 (define @t509 () (or (= @t462 @t462) @t508)) % 0.47/0.70 (define @t510 () (= @t507 @t509)) % 0.47/0.70 (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))))) % 0.47/0.70 (assume @p2 (forall (@list @t7 @t5) (=> (= (tptp.s @t8) @t6) (not (= @t8 @t6))))) % 0.47/0.70 (assume @p3 (forall @t10 (tptp.leq @t9 @t8))) % 0.47/0.70 (assume @p4 (tptp.leq @t9 tptp.nbr_proc)) % 0.47/0.70 (assume @p5 (forall @t10 (tptp.leq @t8 tptp.nbr_proc))) % 0.47/0.70 (assume @p6 (not (= tptp.elec_1 tptp.elec_2))) % 0.47/0.70 (assume @p7 (not (= tptp.elec_1 tptp.wait))) % 0.47/0.70 (assume @p8 (not (= tptp.elec_1 tptp.norm))) % 0.47/0.70 (assume @p9 (not (= tptp.elec_2 tptp.wait))) % 0.47/0.70 (assume @p10 (not (= tptp.elec_2 tptp.norm))) % 0.47/0.70 (assume @p11 (not (= tptp.norm tptp.wait))) % 0.47/0.70 (assume @p12 (forall @t15 (not (= @t14 (tptp.m_Halt @t11))))) % 0.47/0.70 (assume @p13 (forall @t15 (not (= @t14 (tptp.m_Down @t11))))) % 0.47/0.70 (assume @p14 (forall @t15 (not (= @t14 (tptp.m_NotNorm @t11))))) % 0.47/0.70 (assume @p15 (forall @t15 (not (= @t14 (tptp.m_Ldr @t11))))) % 0.47/0.70 (assume @p16 (forall @t15 (not (= @t14 (tptp.m_NormQ @t11))))) % 0.47/0.70 (assume @p17 (forall @t18 (not (= @t17 @t16)))) % 0.47/0.70 (assume @p18 (forall @t18 (not (= @t19 @t16)))) % 0.47/0.70 (assume @p19 (forall @t18 (not (= @t19 @t20)))) % 0.47/0.70 (assume @p20 (forall @t18 (not (= @t19 @t21)))) % 0.47/0.70 (assume @p21 (forall @t18 (not (= @t19 @t22)))) % 0.47/0.70 (assume @p22 (forall @t18 (not (= @t23 @t16)))) % 0.47/0.70 (assume @p23 (forall @t18 (not (= @t24 @t16)))) % 0.47/0.70 (assume @p24 (forall @t18 (not (= @t24 @t22)))) % 0.47/0.70 (assume @p25 (forall @t18 (not (= @t24 @t21)))) % 0.47/0.70 (assume @p26 (forall @t18 (not (= @t23 @t21)))) % 0.47/0.70 (assume @p27 (forall @t18 (= @t27 (not (= @t25 @t16))))) % 0.47/0.70 (assume @p28 (forall @t18 (= @t27 (not (= @t23 @t22))))) % 0.47/0.70 (assume @p29 (forall @t18 (= @t27 (not (= @t17 @t21))))) % 0.47/0.70 (assume @p30 (forall @t18 (= @t27 (not (= @t24 @t20))))) % 0.47/0.70 (assume @p31 (forall @t18 (= @t27 (not (= @t19 @t28))))) % 0.47/0.70 (assume @p32 (forall @t34 (=> (not (= @t32 @t30)) @t33))) % 0.47/0.70 (assume @p33 (forall @t34 (=> (not (= @t31 @t29)) @t33))) % 0.47/0.70 (assume @p34 (forall @t4 (=> (not (= @t3 (tptp.host @t1))) (not (= @t2 @t1))))) % 0.47/0.70 (assume @p35 (not (tptp.setIn tptp.nil tptp.alive))) % 0.47/0.70 (assume @p36 (forall @t36 (= (tptp.head @t35) @t13))) % 0.47/0.70 (assume @p37 (forall @t36 (= (tptp.tail @t35) @t5))) % 0.47/0.70 (assume @p38 (forall @t38 (= (tptp.last @t37) @t12))) % 0.47/0.70 (assume @p39 (forall @t38 (= (tptp.init @t37) @t5))) % 0.47/0.70 (assume @p40 (forall @t40 (or @t39 (= @t5 (tptp.cons (tptp.head @t5) (tptp.tail @t5)))))) % 0.47/0.70 (assume @p41 (forall @t40 (or @t39 (= @t5 (tptp.snoc (tptp.init @t5) (tptp.last @t5)))))) % 0.47/0.70 (assume @p42 (forall @t36 (not (= tptp.q_nil @t35)))) % 0.47/0.70 (assume @p43 (forall @t38 (not (= tptp.q_nil @t37)))) % 0.47/0.70 (assume @p44 (forall @t43 (= @t42 @t41))) % 0.47/0.70 (assume @p45 (forall @t44 (= (tptp.snoc @t35 @t12) (tptp.cons @t13 @t37)))) % 0.47/0.70 (assume @p46 (forall @t43 (not (tptp.elem @t13 tptp.q_nil)))) % 0.47/0.70 (assume @p47 @t46) % 0.47/0.70 (assume @p48 (forall @t44 (= (tptp.elem @t13 @t37) @t45))) % 0.47/0.70 (assume @p49 (forall @t43 (= @t48 (exists @t47 (or (= @t13 @t16) (= @t13 @t28)))))) % 0.47/0.70 (assume @p50 (forall @t43 (= (tptp.pidMsg @t25) @t13))) % 0.47/0.70 (assume @p51 (forall @t43 (= (tptp.pidMsg @t19) @t13))) % 0.47/0.70 (assume @p52 (tptp.ordered tptp.q_nil)) % 0.47/0.70 (assume @p53 (forall @t43 (and (tptp.ordered @t42) (tptp.ordered @t41)))) % 0.47/0.70 (assume @p54 (forall @t36 (= (tptp.ordered @t35) (and @t52 (forall @t47 (=> @t51 (tptp.leq @t50 @t49))))))) % 0.47/0.70 (assume @p55 (forall @t36 (= (tptp.ordered (tptp.snoc @t5 @t13)) (and @t52 (forall @t47 (=> @t51 (tptp.leq @t49 @t50))))))) % 0.47/0.70 (assume @p56 (forall @t53 (=> @t52 (tptp.ordered (tptp.snoc @t5 @t14))))) % 0.47/0.70 (assume @p57 (forall (@list @t5 @t13) (=> @t52 (tptp.ordered (tptp.snoc @t5 @t24))))) % 0.47/0.70 (assume @p58 (forall @t53 (=> (and (tptp.ordered (tptp.cons @t25 @t5)) (= @t56 @t55) (tptp.elem @t28 @t5)) @t54))) % 0.47/0.70 (assume @p59 (forall @t43 (not (tptp.leq @t57 @t13)))) % 0.47/0.70 (assume @p60 (forall @t43 (tptp.leq @t13 @t13))) % 0.47/0.70 (assume @p61 (forall @t18 (or @t54 @t58))) % 0.47/0.70 (assume @p62 @t60) % 0.47/0.70 (assume @p63 (forall @t15 (=> (and @t54 (tptp.leq @t12 @t11)) (tptp.leq @t13 @t11)))) % 0.47/0.70 (assume @p64 (forall @t18 (= @t54 (tptp.leq @t57 @t61)))) % 0.47/0.70 (assume @p65 (forall @t18 (= (tptp.leq @t13 @t61) (or (= @t13 @t61) @t54)))) % 0.47/0.70 (assume @p66 (forall @t43 (not (tptp.setIn @t13 tptp.setEmpty)))) % 0.47/0.70 (assume @p67 @t220) % 0.47/0.70 (assume @p68 true) % 0.47/0.70 (step @p69 :rule instantiate :premises (@p3) :args (@t246)) % 0.47/0.70 (step @p70 :rule aci_norm :args ((= @t248 @t242))) % 0.47/0.70 (step @p71 :rule cong :premises (@p70) :args (@t249)) % 0.47/0.70 (step @p72 :rule quant-merge-prenex :args ((= (forall @t252 @t251) @t249))) % 0.47/0.70 (step @p73 :rule alpha_equiv :args (@t253 (@list @t225 @t221) (@list @t62 @t254))) % 0.47/0.70 (step @p74 :rule refl :args (@t231)) % 0.47/0.70 (step @p75 :rule refl :args (@t233)) % 0.47/0.70 (step @p76 :rule refl :args (@t237)) % 0.47/0.70 (step @p77 :rule refl :args (@t238)) % 0.47/0.70 (step @p78 :rule refl :args (@t239)) % 0.47/0.70 (step @p79 :rule refl :args (@t109)) % 0.47/0.70 (step @p80 :rule refl :args (@t240)) % 0.47/0.70 (step @p81 :rule refl :args (@t241)) % 0.47/0.70 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73) :args (@t255)) % 0.47/0.70 (step @p83 :rule quant-miniscope-or :args ((= @t251 @t255))) % 0.47/0.70 (step @p84 :rule trans :premises (@p83 @p82)) % 0.47/0.70 (step @p85 :rule symm :premises (@p84)) % 0.47/0.70 (step @p86 :rule cong :premises (@p85) :args (@t267)) % 0.47/0.70 (step @p87 :rule trans :premises (@p86 @p72)) % 0.47/0.70 (step @p88 :rule trans :premises (@p87 @p71)) % 0.47/0.70 (step @p89 :rule refl :args (@t268)) % 0.47/0.70 (step @p90 :rule refl :args (@t283)) % 0.47/0.70 (step @p91 :rule refl :args (@t290)) % 0.47/0.70 (step @p92 :rule refl :args (@t295)) % 0.47/0.70 (step @p93 :rule refl :args (@t298)) % 0.47/0.70 (step @p94 :rule refl :args (@t306)) % 0.47/0.70 (step @p95 :rule refl :args (@t309)) % 0.47/0.70 (step @p96 :rule refl :args (@t312)) % 0.47/0.70 (step @p97 :rule refl :args (@t316)) % 0.47/0.70 (step @p98 :rule refl :args (@t319)) % 0.47/0.70 (step @p99 :rule refl :args (@t322)) % 0.47/0.70 (step @p100 :rule refl :args (@t326)) % 0.47/0.70 (step @p101 :rule refl :args (@t329)) % 0.47/0.70 (step @p102 :rule refl :args (@t335)) % 0.47/0.70 (step @p103 :rule refl :args (@t338)) % 0.47/0.70 (step @p104 :rule refl :args (@t344)) % 0.47/0.70 (step @p105 :rule refl :args (@t346)) % 0.47/0.70 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88) :args (@t347)) % 0.47/0.70 (step @p107 :rule quant-miniscope-or :args ((= (forall @t252 @t348) @t347))) % 0.47/0.70 (step @p108 :rule aci_norm :args ((= @t349 @t348))) % 0.47/0.70 (step @p109 :rule cong :premises (@p108) :args (@t350)) % 0.47/0.70 (step @p110 :rule quant-unused-vars :args ((= (forall @t218 @t349) @t350))) % 0.47/0.70 (step @p111 :rule trans :premises (@p110 @p109 @p107)) % 0.47/0.70 (step @p112 :rule trans :premises (@p111 @p106)) % 0.47/0.70 (step @p113 :rule aci_norm :args ((= (or @t352 @t351) @t349))) % 0.47/0.70 (step @p114 :rule aci_norm :args ((= (or @t240 @t353) @t351))) % 0.47/0.70 (step @p115 :rule aci_norm :args ((= (or @t109 @t354) @t353))) % 0.47/0.70 (step @p116 :rule aci_norm :args ((= (or @t356 @t355) @t354))) % 0.47/0.70 (step @p117 :rule aci_norm :args ((= (or (or @t237 @t233) @t357) @t355))) % 0.47/0.70 (step @p118 :rule aci_norm :args ((= (or @t231 @t358) @t357))) % 0.47/0.70 (step @p119 :rule bool-impl-elim :args (@t89 @t358)) % 0.47/0.70 (step @p120 :rule trans :premises (@p119 @p118)) % 0.47/0.70 (step @p121 :rule bool-and-de-morgan :args (@t236 @t232 true)) % 0.47/0.70 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or (not @t360) @t359))) % 0.47/0.70 (step @p123 :rule trans :premises (@p122 @p117)) % 0.47/0.70 (step @p124 :rule bool-impl-elim :args (@t360 @t359)) % 0.47/0.70 (step @p125 :rule trans :premises (@p124 @p123)) % 0.47/0.70 (step @p126 :rule refl :args (@t356)) % 0.47/0.70 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t356 @t361))) % 0.47/0.70 (step @p128 :rule trans :premises (@p127 @p116)) % 0.47/0.70 (step @p129 :rule refl :args (@t361)) % 0.47/0.70 (step @p130 :rule bool-double-not-elim :args (@t356)) % 0.47/0.70 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or (not @t362) @t361))) % 0.47/0.70 (step @p132 :rule bool-impl-elim :args (@t362 @t361)) % 0.47/0.70 (step @p133 :rule trans :premises (@p132 @p131)) % 0.47/0.70 (step @p134 :rule trans :premises (@p133 @p128)) % 0.47/0.70 (step @p135 :rule nary_cong :premises (@p79 @p134) :args ((or @t109 @t363))) % 0.47/0.70 (step @p136 :rule trans :premises (@p135 @p115)) % 0.47/0.70 (step @p137 :rule refl :args (@t363)) % 0.47/0.70 (step @p138 :rule bool-double-not-elim :args (@t109)) % 0.47/0.70 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or (not @t110) @t363))) % 0.47/0.70 (step @p140 :rule bool-impl-elim :args (@t110 @t363)) % 0.47/0.70 (step @p141 :rule trans :premises (@p140 @p139)) % 0.47/0.70 (step @p142 :rule trans :premises (@p141 @p136)) % 0.47/0.70 (step @p143 :rule nary_cong :premises (@p80 @p142) :args ((or @t240 @t364))) % 0.47/0.70 (step @p144 :rule trans :premises (@p143 @p114)) % 0.47/0.70 (step @p145 :rule bool-impl-elim :args (@t112 @t364)) % 0.47/0.70 (step @p146 :rule trans :premises (@p145 @p144)) % 0.47/0.70 (step @p147 :rule aci_norm :args ((= (or @t346 (or @t344 (or @t338 (or @t335 (or @t329 (or @t326 (or @t322 (or @t319 (or @t316 (or @t312 (or @t309 (or @t306 (or @t298 (or @t295 (or @t290 (or @t283 @t241)))))))))))))))) @t352))) % 0.47/0.70 (step @p148 :rule bool-and-de-morgan :args (@t282 @t115 true)) % 0.47/0.70 (step @p149 :rule refl :args (@t290)) % 0.47/0.70 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t290 (not (and @t282 @t115))))) % 0.47/0.70 (step @p151 :rule bool-and-de-morgan :args (@t289 @t282 (and @t115))) % 0.47/0.70 (step @p152 :rule trans :premises (@p151 @p150)) % 0.47/0.70 (step @p153 :rule refl :args (@t295)) % 0.47/0.70 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or @t295 (not (and @t289 @t282 @t115))))) % 0.47/0.70 (step @p155 :rule bool-and-de-morgan :args (@t294 @t289 (and @t282 @t115))) % 0.47/0.70 (step @p156 :rule trans :premises (@p155 @p154)) % 0.47/0.70 (step @p157 :rule refl :args (@t298)) % 0.47/0.70 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or @t298 (not (and @t294 @t289 @t282 @t115))))) % 0.47/0.70 (step @p159 :rule bool-and-de-morgan :args (@t297 @t294 (and @t289 @t282 @t115))) % 0.47/0.70 (step @p160 :rule trans :premises (@p159 @p158)) % 0.47/0.70 (step @p161 :rule refl :args (@t306)) % 0.47/0.70 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t306 (not (and @t297 @t294 @t289 @t282 @t115))))) % 0.47/0.70 (step @p163 :rule bool-and-de-morgan :args (@t305 @t297 (and @t294 @t289 @t282 @t115))) % 0.47/0.70 (step @p164 :rule trans :premises (@p163 @p162)) % 0.47/0.70 (step @p165 :rule refl :args (@t309)) % 0.47/0.70 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t309 (not (and @t305 @t297 @t294 @t289 @t282 @t115))))) % 0.47/0.70 (step @p167 :rule bool-and-de-morgan :args (@t308 @t305 (and @t297 @t294 @t289 @t282 @t115))) % 0.47/0.70 (step @p168 :rule trans :premises (@p167 @p166)) % 0.47/0.70 (step @p169 :rule refl :args (@t312)) % 0.47/0.70 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t312 (not (and @t308 @t305 @t297 @t294 @t289 @t282 @t115))))) % 0.47/0.70 (step @p171 :rule bool-and-de-morgan :args (@t311 @t308 (and @t305 @t297 @t294 @t289 @t282 @t115))) % 0.55/0.70 (step @p172 :rule trans :premises (@p171 @p170)) % 0.55/0.70 (step @p173 :rule refl :args (@t316)) % 0.55/0.70 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or @t316 (not (and @t311 @t308 @t305 @t297 @t294 @t289 @t282 @t115))))) % 0.55/0.70 (step @p175 :rule bool-and-de-morgan :args (@t315 @t311 (and @t308 @t305 @t297 @t294 @t289 @t282 @t115))) % 0.55/0.70 (step @p176 :rule trans :premises (@p175 @p174)) % 0.55/0.70 (step @p177 :rule refl :args (@t319)) % 0.55/0.70 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or @t319 (not (and @t315 @t311 @t308 @t305 @t297 @t294 @t289 @t282 @t115))))) % 0.55/0.70 (step @p179 :rule bool-and-de-morgan :args (@t318 @t315 (and @t311 @t308 @t305 @t297 @t294 @t289 @t282 @t115))) % 0.55/0.70 (step @p180 :rule trans :premises (@p179 @p178)) % 0.55/0.70 (step @p181 :rule refl :args (@t322)) % 0.55/0.70 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or @t322 (not (and @t318 @t315 @t311 @t308 @t305 @t297 @t294 @t289 @t282 @t115))))) % 0.55/0.70 (step @p183 :rule bool-and-de-morgan :args (@t321 @t318 (and @t315 @t311 @t308 @t305 @t297 @t294 @t289 @t282 @t115))) % 0.55/0.70 (step @p184 :rule trans :premises (@p183 @p182)) % 0.55/0.70 (step @p185 :rule refl :args (@t326)) % 0.55/0.70 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or @t326 (not (and @t321 @t318 @t315 @t311 @t308 @t305 @t297 @t294 @t289 @t282 @t115))))) % 0.55/0.70 (step @p187 :rule bool-and-de-morgan :args (@t325 @t321 (and @t318 @t315 @t311 @t308 @t305 @t297 @t294 @t289 @t282 @t115))) % 0.55/0.70 (step @p188 :rule trans :premises (@p187 @p186)) % 0.55/0.70 (step @p189 :rule refl :args (@t329)) % 0.55/0.70 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or @t329 (not (and @t325 @t321 @t318 @t315 @t311 @t308 @t305 @t297 @t294 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:rule cong :premises (@p839 @p838) :args (@t510)) % 0.55/0.70 (step @p841 :rule trans :premises (@p840 @p833)) % 0.55/0.70 (step @p842 :rule refl :args (@t46)) % 0.55/0.70 (step @p843 :rule cong :premises (@p842 @p841) :args ((=> @t46 @t510))) % 0.55/0.70 (assume-push @p874 @t46) % 0.55/0.70 (step @p845 :rule instantiate :premises (@p47) :args ((@list @t462 @t462 @t461))) % 0.55/0.70 (step-pop @p875 :rule scope :premises (@p845)) % 0.55/0.70 (step @p846 :rule process_scope :premises (@p875) :args (@t510)) % 0.55/0.70 (step @p848 :rule eq_resolve :premises (@p846 @p843)) % 0.55/0.70 (step @p849 :rule implies_elim :premises (@p848)) % 0.55/0.70 (step @p850 :rule chain_m_resolution :premises (@p849 @p47) :args (@t507 @t481 (@list @t46))) % 0.55/0.70 (step @p851 :rule true_intro :premises (@p850)) % 0.55/0.70 (step @p852 :rule bool-double-not-elim :args (@t465)) % 0.55/0.70 (step @p853 :rule nary_cong :premises (@p693 @p852) :args ((or @t467 (not @t466)))) % 0.55/0.70 (step @p854 :rule cnf_or_neg :args (@t467 0)) % 0.55/0.70 (step @p855 :rule eq_resolve :premises (@p854 @p853)) % 0.55/0.70 (step @p856 :rule reordering :premises (@p855) :args ((or @t465 @t467))) % 0.55/0.70 (step @p857 :rule chain_m_resolution :premises (@p856 @p688) :args (@t465 @t468 @t469)) % 0.55/0.70 (step @p858 :rule refl :args (@t462)) % 0.55/0.70 (step @p859 :rule cong :premises (@p858 @p857) :args (@t502)) % 0.55/0.70 (step @p860 :rule trans :premises (@p859 @p851)) % 0.55/0.70 (step @p861 :rule true_elim :premises (@p860)) % 0.55/0.70 (step @p862 :rule cnf_or_pos :args (@t506)) % 0.55/0.70 (step @p863 :rule reordering :premises (@p862) :args ((or @t460 @t438 @t436 @t470 @t505 @t503 (not @t506)))) % 0.55/0.70 (step @p864 :rule chain_m_resolution :premises (@p863 @p720 @p714 @p708 @p702 @p861 @p832) :args (@t505 (@list false false false true false false) (@list @t459 @t437 @t435 @t470 @t502 @t506))) % 0.55/0.70 (step @p865 :rule cnf_or_pos :args (@t480)) % 0.55/0.70 (step @p866 :rule reordering :premises (@p865) :args ((or @t471 @t479 @t475 @t476 (not @t480)))) % 0.55/0.70 (step @p867 false :rule chain_m_resolution :premises (@p866 @p864 @p814 @p743 @p723 @p69) :args (false (@list true true false true false) (@list @t479 @t476 @t480 @t471 @t474))) % 0.55/0.70 ) % 0.55/0.70 % SZS output end Proof % 0.55/0.70 % cvc5 exiting %------------------------------------------------------------------------------