%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV451+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 : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:01:34 AM UTC 2026 % Result : Theorem 0.44s 0.68s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV451+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n010.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 20:18:25 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.68 % SZS status Theorem % 0.44/0.68 % SZS output start Proof % 0.44/0.68 ( % 0.44/0.68 (declare-sort $$unsorted 0) % 0.44/0.68 (declare-const tptp.status $$unsorted) % 0.44/0.68 (declare-const tptp.index (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.ordered (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.pidMsg (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.elec_1 $$unsorted) % 0.44/0.68 (declare-const tptp.zero $$unsorted) % 0.44/0.68 (declare-const tptp.elem (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.m_Ack (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.setEmpty $$unsorted) % 0.44/0.68 (declare-const tptp.elec_2 $$unsorted) % 0.44/0.68 (declare-const tptp.queue (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.nbr_proc $$unsorted) % 0.44/0.68 (declare-const tptp.ldr $$unsorted) % 0.44/0.68 (declare-const tptp.setIn (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.wait $$unsorted) % 0.44/0.68 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.elid $$unsorted) % 0.44/0.68 (declare-const tptp.norm $$unsorted) % 0.44/0.68 (declare-const tptp.m_Ldr (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.host (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.pids $$unsorted) % 0.44/0.68 (declare-const tptp.pidElem (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.m_Down (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.last (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.m_NotNorm (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.m_Halt (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.alive $$unsorted) % 0.44/0.68 (declare-const tptp.nil $$unsorted) % 0.44/0.68 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.snoc (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.init (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.m_NormQ (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.q_nil $$unsorted) % 0.44/0.68 (define @t1 () (@var "Pid2" $$unsorted)) % 0.44/0.68 (define @t2 () (@var "Pid" $$unsorted)) % 0.44/0.68 (define @t3 () (tptp.host @t2)) % 0.44/0.68 (define @t4 () (@list @t2 @t1)) % 0.44/0.68 (define @t5 () (@var "Q" $$unsorted)) % 0.44/0.68 (define @t6 () (tptp.host @t5)) % 0.44/0.68 (define @t7 () (@var "P" $$unsorted)) % 0.44/0.68 (define @t8 () (tptp.host @t7)) % 0.44/0.68 (define @t9 () (tptp.s tptp.zero)) % 0.44/0.68 (define @t10 () (@list @t7)) % 0.44/0.68 (define @t11 () (@var "Z" $$unsorted)) % 0.44/0.68 (define @t12 () (@var "Y" $$unsorted)) % 0.44/0.68 (define @t13 () (@var "X" $$unsorted)) % 0.44/0.68 (define @t14 () (tptp.m_Ack @t13 @t12)) % 0.44/0.68 (define @t15 () (@list @t13 @t12 @t11)) % 0.44/0.68 (define @t16 () (tptp.m_Halt @t12)) % 0.44/0.68 (define @t17 () (tptp.m_NotNorm @t13)) % 0.44/0.68 (define @t18 () (@list @t13 @t12)) % 0.44/0.68 (define @t19 () (tptp.m_Down @t13)) % 0.44/0.68 (define @t20 () (not (= @t19 @t16))) % 0.44/0.68 (define @t21 () (forall @t18 @t20)) % 0.44/0.68 (define @t22 () (tptp.m_Ldr @t12)) % 0.44/0.68 (define @t23 () (tptp.m_NotNorm @t12)) % 0.44/0.68 (define @t24 () (tptp.m_NormQ @t12)) % 0.44/0.68 (define @t25 () (tptp.m_NormQ @t13)) % 0.44/0.68 (define @t26 () (tptp.m_Ldr @t13)) % 0.44/0.68 (define @t27 () (tptp.m_Halt @t13)) % 0.44/0.68 (define @t28 () (= @t13 @t12)) % 0.44/0.68 (define @t29 () (not @t28)) % 0.44/0.68 (define @t30 () (tptp.m_Down @t12)) % 0.44/0.68 (define @t31 () (@var "Y2" $$unsorted)) % 0.44/0.68 (define @t32 () (@var "X2" $$unsorted)) % 0.44/0.68 (define @t33 () (@var "Y1" $$unsorted)) % 0.44/0.68 (define @t34 () (@var "X1" $$unsorted)) % 0.44/0.68 (define @t35 () (not (= (tptp.m_Ack @t34 @t33) (tptp.m_Ack @t32 @t31)))) % 0.44/0.68 (define @t36 () (@list @t34 @t32 @t33 @t31)) % 0.44/0.68 (define @t37 () (tptp.cons @t13 @t5)) % 0.44/0.68 (define @t38 () (@list @t13 @t5)) % 0.44/0.68 (define @t39 () (tptp.snoc @t5 @t12)) % 0.44/0.68 (define @t40 () (@list @t12 @t5)) % 0.44/0.68 (define @t41 () (= @t5 tptp.q_nil)) % 0.44/0.68 (define @t42 () (@list @t5)) % 0.44/0.68 (define @t43 () (tptp.snoc tptp.q_nil @t13)) % 0.44/0.68 (define @t44 () (tptp.cons @t13 tptp.q_nil)) % 0.44/0.68 (define @t45 () (@list @t13)) % 0.44/0.68 (define @t46 () (@list @t13 @t12 @t5)) % 0.44/0.68 (define @t47 () (or @t28 (tptp.elem @t13 @t5))) % 0.44/0.68 (define @t48 () (forall @t46 (= (tptp.elem @t13 (tptp.cons @t12 @t5)) @t47))) % 0.44/0.68 (define @t49 () (tptp.elem @t13 @t39)) % 0.44/0.68 (define @t50 () (forall @t46 (= @t49 @t47))) % 0.44/0.68 (define @t51 () (@list @t12)) % 0.44/0.68 (define @t52 () (tptp.pidElem @t13)) % 0.44/0.68 (define @t53 () (tptp.pidMsg @t12)) % 0.44/0.68 (define @t54 () (tptp.pidMsg @t13)) % 0.44/0.68 (define @t55 () (and (tptp.elem @t12 @t5) @t52 (tptp.pidElem @t12) (= (tptp.host @t53) (tptp.host @t54)))) % 0.44/0.68 (define @t56 () (tptp.ordered @t5)) % 0.44/0.68 (define @t57 () (@list @t5 @t13 @t12)) % 0.44/0.68 (define @t58 () (tptp.leq @t13 @t12)) % 0.44/0.68 (define @t59 () (tptp.host @t12)) % 0.44/0.68 (define @t60 () (tptp.s @t13)) % 0.44/0.68 (define @t61 () (tptp.leq @t12 @t13)) % 0.44/0.68 (define @t62 () (tptp.s @t12)) % 0.44/0.68 (define @t63 () (@var "W" $$unsorted)) % 0.44/0.68 (define @t64 () (tptp.m_Halt @t63)) % 0.44/0.68 (define @t65 () (tptp.host @t11)) % 0.44/0.68 (define @t66 () (tptp.queue @t65)) % 0.44/0.68 (define @t67 () (tptp.snoc @t66 @t64)) % 0.44/0.68 (define @t68 () (@var "Z0" $$unsorted)) % 0.44/0.68 (define @t69 () (tptp.elem (tptp.m_Down @t68) @t67)) % 0.44/0.68 (define @t70 () (@var "V" $$unsorted)) % 0.44/0.68 (define @t71 () (@var "X0" $$unsorted)) % 0.44/0.68 (define @t72 () (tptp.elem (tptp.m_Down @t71) @t70)) % 0.44/0.68 (define @t73 () (not (and @t72 @t69))) % 0.44/0.68 (define @t74 () (@var "Y0" $$unsorted)) % 0.44/0.68 (define @t75 () (tptp.host @t74)) % 0.44/0.68 (define @t76 () (tptp.host @t68)) % 0.44/0.68 (define @t77 () (tptp.host @t71)) % 0.44/0.68 (define @t78 () (not (= @t75 @t65))) % 0.44/0.68 (define @t79 () (tptp.setIn @t74 tptp.alive)) % 0.44/0.68 (define @t80 () (not (= @t74 @t12))) % 0.44/0.68 (define @t81 () (and @t80 @t79)) % 0.44/0.68 (define @t82 () (or @t81 (= @t74 @t63))) % 0.44/0.68 (define @t83 () (= @t11 @t63)) % 0.44/0.68 (define @t84 () (tptp.setIn @t11 tptp.alive)) % 0.44/0.68 (define @t85 () (not (= @t11 @t12))) % 0.44/0.68 (define @t86 () (and @t85 @t84)) % 0.44/0.68 (define @t87 () (or @t86 @t83)) % 0.44/0.68 (define @t88 () (and @t87 @t82 @t78 (= @t77 @t65) (= @t76 @t75))) % 0.44/0.68 (define @t89 () (=> @t88 @t73)) % 0.44/0.68 (define @t90 () (@list @t68)) % 0.44/0.68 (define @t91 () (forall @t90 @t89)) % 0.44/0.68 (define @t92 () (= @t59 @t75)) % 0.44/0.68 (define @t93 () (=> @t92 @t91)) % 0.44/0.68 (define @t94 () (tptp.host @t63)) % 0.44/0.68 (define @t95 () (tptp.s @t94)) % 0.44/0.68 (define @t96 () (= @t95 @t75)) % 0.44/0.68 (define @t97 () (not @t96)) % 0.44/0.68 (define @t98 () (=> @t97 @t93)) % 0.44/0.68 (define @t99 () (@list @t71 @t74)) % 0.44/0.68 (define @t100 () (forall @t99 @t98)) % 0.44/0.68 (define @t101 () (= @t59 @t65)) % 0.44/0.68 (define @t102 () (not @t101)) % 0.44/0.68 (define @t103 () (=> @t102 @t100)) % 0.44/0.68 (define @t104 () (=> (= @t95 @t65) @t103)) % 0.44/0.68 (define @t105 () (@list @t11)) % 0.44/0.68 (define @t106 () (forall @t105 @t104)) % 0.44/0.68 (define @t107 () (tptp.leq tptp.nbr_proc @t94)) % 0.44/0.68 (define @t108 () (not @t107)) % 0.44/0.68 (define @t109 () (=> @t108 @t106)) % 0.44/0.68 (define @t110 () (=> (= @t94 @t9) @t109)) % 0.44/0.68 (define @t111 () (= @t59 @t94)) % 0.44/0.68 (define @t112 () (tptp.setIn @t63 tptp.pids)) % 0.44/0.68 (define @t113 () (not @t112)) % 0.44/0.68 (define @t114 () (tptp.leq @t11 @t63)) % 0.44/0.68 (define @t115 () (forall @t105 (=> @t101 @t114))) % 0.44/0.68 (define @t116 () (and @t115 @t113 @t111)) % 0.44/0.68 (define @t117 () (=> @t116 @t110)) % 0.44/0.68 (define @t118 () (tptp.index tptp.elid @t59)) % 0.44/0.68 (define @t119 () (tptp.index tptp.status @t59)) % 0.44/0.68 (define @t120 () (tptp.index tptp.ldr @t59)) % 0.44/0.68 (define @t121 () (and (= @t120 @t59) (= @t119 tptp.norm) (= @t118 @t13))) % 0.44/0.68 (define @t122 () (=> @t121 @t117)) % 0.44/0.68 (define @t123 () (tptp.setIn @t12 tptp.alive)) % 0.44/0.68 (define @t124 () (=> @t123 @t122)) % 0.44/0.68 (define @t125 () (tptp.queue @t59)) % 0.44/0.68 (define @t126 () (= @t125 (tptp.cons @t17 @t70))) % 0.44/0.68 (define @t127 () (@var "Pid20" $$unsorted)) % 0.44/0.68 (define @t128 () (tptp.host @t127)) % 0.44/0.68 (define @t129 () (tptp.queue @t128)) % 0.44/0.68 (define @t130 () (@var "Pid30" $$unsorted)) % 0.44/0.68 (define @t131 () (tptp.elem (tptp.m_Down @t130) @t129)) % 0.44/0.68 (define @t132 () (@var "Pid0" $$unsorted)) % 0.44/0.68 (define @t133 () (tptp.elem (tptp.m_Down @t132) @t66)) % 0.44/0.68 (define @t134 () (not (and @t133 @t131))) % 0.44/0.68 (define @t135 () (tptp.host @t132)) % 0.44/0.68 (define @t136 () (= @t135 @t128)) % 0.44/0.68 (define @t137 () (tptp.host @t130)) % 0.44/0.68 (define @t138 () (tptp.setIn @t127 tptp.alive)) % 0.44/0.68 (define @t139 () (not (= @t128 @t65))) % 0.44/0.68 (define @t140 () (and @t139 @t84 @t138 (= @t137 @t65) @t136)) % 0.44/0.68 (define @t141 () (=> @t140 @t134)) % 0.44/0.68 (define @t142 () (@list @t11 @t130 @t127 @t132)) % 0.44/0.68 (define @t143 () (forall @t142 @t141)) % 0.44/0.68 (define @t144 () (tptp.setIn @t132 tptp.alive)) % 0.44/0.68 (define @t145 () (not @t144)) % 0.44/0.68 (define @t146 () (not @t84)) % 0.44/0.68 (define @t147 () (or @t146 @t145)) % 0.44/0.68 (define @t148 () (= @t135 @t65)) % 0.44/0.68 (define @t149 () (not (= @t132 @t11))) % 0.44/0.68 (define @t150 () (and @t149 @t148)) % 0.44/0.68 (define @t151 () (=> @t150 @t147)) % 0.44/0.68 (define @t152 () (@list @t11 @t132)) % 0.44/0.68 (define @t153 () (forall @t152 @t151)) % 0.44/0.68 (define @t154 () (tptp.leq @t132 @t11)) % 0.44/0.68 (define @t155 () (and @t146 @t154 @t148)) % 0.44/0.68 (define @t156 () (=> @t155 @t145)) % 0.44/0.68 (define @t157 () (forall @t152 @t156)) % 0.44/0.68 (define @t158 () (not (tptp.leq @t65 @t135))) % 0.44/0.68 (define @t159 () (tptp.elem (tptp.m_Ack @t132 @t11) @t129)) % 0.44/0.68 (define @t160 () (@list @t11 @t127 @t132)) % 0.44/0.68 (define @t161 () (forall @t160 (=> @t159 @t158))) % 0.44/0.68 (define @t162 () (tptp.elem (tptp.m_Halt @t132) @t66)) % 0.44/0.68 (define @t163 () (forall @t152 (=> @t162 @t158))) % 0.44/0.68 (define @t164 () (not @t148)) % 0.44/0.68 (define @t165 () (=> @t133 @t164)) % 0.44/0.68 (define @t166 () (forall @t152 @t165)) % 0.44/0.68 (define @t167 () (forall @t152 (=> @t133 @t145))) % 0.44/0.68 (define @t168 () (not @t133)) % 0.44/0.68 (define @t169 () (forall @t152 (=> @t144 @t168))) % 0.44/0.68 (define @t170 () (and @t169 @t167 @t166 @t163 @t161 @t157 @t153 @t143 @t126)) % 0.44/0.68 (define @t171 () (=> @t170 @t124)) % 0.44/0.68 (define @t172 () (@list @t70 @t63 @t13 @t12)) % 0.44/0.68 (define @t173 () (forall @t172 @t171)) % 0.44/0.68 (define @t174 () (not @t173)) % 0.44/0.68 (define @t175 () (@var "BOUND_VARIABLE_8307" $$unsorted)) % 0.44/0.68 (define @t176 () (not (tptp.elem (tptp.m_Down @t175) @t70))) % 0.44/0.68 (define @t177 () (@var "BOUND_VARIABLE_8301" $$unsorted)) % 0.44/0.68 (define @t178 () (tptp.host @t177)) % 0.44/0.68 (define @t179 () (not (= @t178 (tptp.host @t175)))) % 0.44/0.68 (define @t180 () (@var "BOUND_VARIABLE_8305" $$unsorted)) % 0.44/0.68 (define @t181 () (not (tptp.elem (tptp.m_Down @t180) (tptp.snoc (tptp.queue @t178) @t64)))) % 0.44/0.68 (define @t182 () (@var "BOUND_VARIABLE_8303" $$unsorted)) % 0.44/0.68 (define @t183 () (tptp.host @t182)) % 0.44/0.68 (define @t184 () (not (= @t183 (tptp.host @t180)))) % 0.44/0.68 (define @t185 () (= @t178 @t183)) % 0.44/0.68 (define @t186 () (and (or (= @t12 @t182) (not (tptp.setIn @t182 tptp.alive))) (not (= @t63 @t182)))) % 0.44/0.68 (define @t187 () (not (= @t59 @t183))) % 0.44/0.68 (define @t188 () (= @t95 @t183)) % 0.44/0.68 (define @t189 () (or (= @t12 @t177) (not (tptp.setIn @t177 tptp.alive)))) % 0.44/0.68 (define @t190 () (and @t189 (not (= @t63 @t177)))) % 0.44/0.68 (define @t191 () (= @t59 @t178)) % 0.44/0.68 (define @t192 () (not (= @t95 @t178))) % 0.44/0.68 (define @t193 () (= @t9 @t94)) % 0.44/0.68 (define @t194 () (not @t193)) % 0.44/0.68 (define @t195 () (not @t111)) % 0.44/0.68 (define @t196 () (forall @t105 (or @t102 @t114))) % 0.44/0.68 (define @t197 () (not @t196)) % 0.44/0.68 (define @t198 () (= tptp.norm @t119)) % 0.44/0.68 (define @t199 () (not @t198)) % 0.44/0.68 (define @t200 () (= @t59 @t120)) % 0.44/0.68 (define @t201 () (not @t200)) % 0.44/0.68 (define @t202 () (not @t123)) % 0.44/0.68 (define @t203 () (not (= @t125 (tptp.cons (tptp.m_NotNorm @t118) @t70)))) % 0.44/0.68 (define @t204 () (or @t203 @t202 @t201 @t199 @t197 @t112 @t195 @t194 @t107 @t192 @t191 @t190 @t188 @t187 @t186 @t185 @t184 @t181 @t179 @t176)) % 0.44/0.68 (define @t205 () (not (= @t118 @t118))) % 0.44/0.68 (define @t206 () (or @t203 @t202 @t201 @t199 @t205 @t197 @t112 @t195 @t194 @t107 @t192 @t191 @t190 @t188 @t187 @t186 @t185 @t184 @t181 @t179 @t176)) % 0.44/0.68 (define @t207 () (@list @t70 @t63 @t12 @t177 @t182 @t180 @t175)) % 0.44/0.68 (define @t208 () (= @t13 @t118)) % 0.44/0.68 (define @t209 () (not @t208)) % 0.44/0.68 (define @t210 () (not @t126)) % 0.44/0.68 (define @t211 () (or @t209 @t210 @t202 @t201 @t199 @t209 @t197 @t112 @t195 @t194 @t107 @t192 @t191 @t190 @t188 @t187 @t186 @t185 @t184 @t181 @t179 @t176)) % 0.44/0.68 (define @t212 () (or @t210 @t202 @t201 @t199 @t209 @t197 @t112 @t195 @t194 @t107 @t192 @t191 @t190 @t188 @t187 @t186 @t185 @t184 @t181 @t179 @t176)) % 0.44/0.68 (define @t213 () (forall @t45 @t212)) % 0.44/0.68 (define @t214 () (forall @t207 @t213)) % 0.44/0.68 (define @t215 () (forall (@list @t70 @t63 @t12 @t177 @t182 @t180 @t175 @t13) @t212)) % 0.44/0.68 (define @t216 () (@list @t70 @t63 @t13 @t12 @t177 @t182 @t180 @t175)) % 0.44/0.68 (define @t217 () (not (= @t177 @t63))) % 0.44/0.68 (define @t218 () (and @t189 @t217)) % 0.44/0.68 (define @t219 () (not (= @t178 @t95))) % 0.44/0.68 (define @t220 () (or @t210 @t202 @t201 @t199 @t209 @t197 @t112 @t195 @t194 @t107 @t219 @t191 @t218 @t188 @t187 @t186 @t185 @t184 @t181 @t179 @t176)) % 0.44/0.68 (define @t221 () (or @t219 @t191 @t218 @t188 @t187 @t186 @t185 @t184 @t181 @t179 @t176)) % 0.44/0.68 (define @t222 () (or @t210 @t202 @t201 @t199 @t209 @t197 @t112 @t195 @t194 @t107 @t221)) % 0.44/0.68 (define @t223 () (forall @t216 @t222)) % 0.44/0.68 (define @t224 () (@list @t177 @t182 @t180 @t175)) % 0.44/0.68 (define @t225 () (forall @t224 @t222)) % 0.44/0.68 (define @t226 () (forall @t224 @t221)) % 0.44/0.68 (define @t227 () (@var "BOUND_VARIABLE_8248" $$unsorted)) % 0.44/0.68 (define @t228 () (@var "BOUND_VARIABLE_8227" $$unsorted)) % 0.44/0.68 (define @t229 () (@var "BOUND_VARIABLE_8225" $$unsorted)) % 0.44/0.68 (define @t230 () (or @t210 @t202 @t201 @t199 @t209 @t197 @t112 @t195 @t194 @t107 @t226)) % 0.44/0.68 (define @t231 () (not (tptp.elem (tptp.m_Down @t227) @t70))) % 0.44/0.68 (define @t232 () (not (= @t65 (tptp.host @t227)))) % 0.44/0.68 (define @t233 () (not (tptp.elem (tptp.m_Down @t228) @t67))) % 0.44/0.68 (define @t234 () (tptp.host @t229)) % 0.44/0.68 (define @t235 () (not (= @t234 (tptp.host @t228)))) % 0.44/0.68 (define @t236 () (= @t65 @t234)) % 0.44/0.68 (define @t237 () (and (or (= @t12 @t229) (not (tptp.setIn @t229 tptp.alive))) (not (= @t63 @t229)))) % 0.44/0.68 (define @t238 () (not (= @t59 @t234))) % 0.44/0.68 (define @t239 () (= @t95 @t234)) % 0.44/0.68 (define @t240 () (not @t83)) % 0.44/0.68 (define @t241 () (= @t12 @t11)) % 0.44/0.68 (define @t242 () (and (or @t241 @t146) @t240)) % 0.44/0.68 (define @t243 () (= @t65 @t95)) % 0.44/0.68 (define @t244 () (not @t243)) % 0.44/0.68 (define @t245 () (or @t244 @t101 @t242 @t239 @t238 @t237 @t236 @t235 @t233 @t232 @t231)) % 0.44/0.68 (define @t246 () (@list @t11 @t229 @t228 @t227)) % 0.44/0.68 (define @t247 () (forall @t246 @t245)) % 0.44/0.68 (define @t248 () (or @t210 @t202 @t201 @t199 @t209 @t197 @t112 @t195 @t194 @t107 @t247)) % 0.44/0.68 (define @t249 () (forall @t172 @t248)) % 0.44/0.68 (define @t250 () (not @t131)) % 0.44/0.68 (define @t251 () (not @t136)) % 0.44/0.68 (define @t252 () (= @t65 @t137)) % 0.44/0.68 (define @t253 () (not @t252)) % 0.44/0.68 (define @t254 () (not @t138)) % 0.44/0.68 (define @t255 () (= @t65 @t128)) % 0.44/0.68 (define @t256 () (or @t255 @t146 @t254 @t253 @t251 @t168 @t250)) % 0.44/0.68 (define @t257 () (forall @t142 @t256)) % 0.44/0.68 (define @t258 () (not @t257)) % 0.44/0.68 (define @t259 () (= @t65 @t135)) % 0.44/0.68 (define @t260 () (not @t259)) % 0.44/0.68 (define @t261 () (= @t11 @t132)) % 0.44/0.68 (define @t262 () (or @t261 @t260 @t146 @t145)) % 0.44/0.68 (define @t263 () (forall @t152 @t262)) % 0.44/0.68 (define @t264 () (not @t263)) % 0.44/0.68 (define @t265 () (not @t154)) % 0.44/0.68 (define @t266 () (or @t84 @t265 @t260 @t145)) % 0.44/0.68 (define @t267 () (forall @t152 @t266)) % 0.44/0.68 (define @t268 () (not @t267)) % 0.44/0.68 (define @t269 () (forall @t160 (or (not @t159) @t158))) % 0.44/0.68 (define @t270 () (not @t269)) % 0.44/0.68 (define @t271 () (forall @t152 (or (not @t162) @t158))) % 0.44/0.68 (define @t272 () (not @t271)) % 0.44/0.68 (define @t273 () (forall @t152 (or @t168 @t260))) % 0.44/0.68 (define @t274 () (not @t273)) % 0.44/0.68 (define @t275 () (forall @t152 (or @t168 @t145))) % 0.44/0.68 (define @t276 () (not @t275)) % 0.44/0.68 (define @t277 () (forall @t152 (or @t145 @t168))) % 0.44/0.68 (define @t278 () (not @t277)) % 0.44/0.68 (define @t279 () (or @t278 @t276 @t274 @t272 @t270 @t268 @t264 @t258 @t249)) % 0.44/0.68 (define @t280 () (or @t278 @t276 @t274 @t272 @t270 @t268 @t264 @t258 @t248)) % 0.44/0.68 (define @t281 () (or @t278 @t276 @t274 @t272 @t270 @t268 @t264 @t258 @t210 @t202 @t201 @t199 @t209 @t197 @t112 @t195 @t194 @t107 @t247)) % 0.44/0.68 (define @t282 () (or @t202 @t201 @t199 @t209 @t197 @t112 @t195 @t194 @t107 @t247)) % 0.44/0.68 (define @t283 () (or @t278 @t276 @t274 @t272 @t270 @t268 @t264 @t258 @t210)) % 0.44/0.68 (define @t284 () (or @t201 @t199 @t209 @t197 @t112 @t195 @t194 @t107 @t247)) % 0.44/0.68 (define @t285 () (or @t197 @t112 @t195 @t194 @t107 @t247)) % 0.44/0.68 (define @t286 () (or @t201 @t199 @t209)) % 0.44/0.68 (define @t287 () (or @t194 @t107 @t247)) % 0.44/0.68 (define @t288 () (=> @t108 @t247)) % 0.44/0.68 (define @t289 () (not @t113)) % 0.44/0.68 (define @t290 () (or @t197 @t289 @t195)) % 0.44/0.68 (define @t291 () (=> @t193 @t288)) % 0.44/0.68 (define @t292 () (and @t196 @t113 @t111)) % 0.44/0.68 (define @t293 () (=> @t292 @t291)) % 0.44/0.68 (define @t294 () (and @t200 @t198 @t208)) % 0.44/0.68 (define @t295 () (=> @t294 @t293)) % 0.44/0.68 (define @t296 () (=> @t123 @t295)) % 0.44/0.68 (define @t297 () (and @t277 @t275 @t273 @t271 @t269 @t267 @t263 @t257 @t126)) % 0.44/0.68 (define @t298 () (or @t232 @t231)) % 0.44/0.68 (define @t299 () (or @t239 @t238 @t237 @t236 @t235 @t233)) % 0.44/0.68 (define @t300 () (or @t244 @t101 @t242 @t299 @t298)) % 0.44/0.68 (define @t301 () (forall @t246 @t300)) % 0.44/0.68 (define @t302 () (forall (@list @t229 @t228 @t227) @t300)) % 0.44/0.68 (define @t303 () (forall (@list @t227) @t298)) % 0.44/0.68 (define @t304 () (forall (@list @t229 @t228) @t299)) % 0.44/0.68 (define @t305 () (@var "BOUND_VARIABLE_8203" $$unsorted)) % 0.44/0.68 (define @t306 () (or @t244 @t101 @t242 @t304 @t303)) % 0.44/0.68 (define @t307 () (not @t72)) % 0.44/0.68 (define @t308 () (= @t65 @t77)) % 0.44/0.68 (define @t309 () (not @t308)) % 0.44/0.68 (define @t310 () (or @t309 @t307)) % 0.44/0.68 (define @t311 () (forall (@list @t71) @t310)) % 0.44/0.68 (define @t312 () (not (tptp.elem (tptp.m_Down @t305) @t67))) % 0.44/0.68 (define @t313 () (not (= @t75 (tptp.host @t305)))) % 0.44/0.68 (define @t314 () (= @t65 @t75)) % 0.44/0.68 (define @t315 () (= @t63 @t74)) % 0.44/0.68 (define @t316 () (not @t315)) % 0.44/0.68 (define @t317 () (not @t79)) % 0.44/0.68 (define @t318 () (= @t12 @t74)) % 0.44/0.68 (define @t319 () (and (or @t318 @t317) @t316)) % 0.44/0.68 (define @t320 () (not @t92)) % 0.44/0.68 (define @t321 () (or @t96 @t320 @t319 @t314 @t313 @t312)) % 0.44/0.68 (define @t322 () (@list @t74 @t305)) % 0.44/0.68 (define @t323 () (forall @t322 @t321)) % 0.44/0.68 (define @t324 () (or @t244 @t101 @t242 @t323 @t311)) % 0.44/0.68 (define @t325 () (or @t101 @t242 @t323 @t311)) % 0.44/0.68 (define @t326 () (or @t242 @t323 @t311)) % 0.44/0.68 (define @t327 () (=> @t102 @t326)) % 0.44/0.68 (define @t328 () (or @t313 @t312)) % 0.44/0.68 (define @t329 () (or @t96 @t320 @t319 @t314 @t328)) % 0.44/0.68 (define @t330 () (forall @t322 @t329)) % 0.44/0.68 (define @t331 () (@list @t305)) % 0.44/0.68 (define @t332 () (forall @t331 @t329)) % 0.44/0.68 (define @t333 () (@list @t74)) % 0.44/0.68 (define @t334 () (forall @t331 @t328)) % 0.44/0.68 (define @t335 () (or @t96 @t320 @t319 @t314 @t334)) % 0.44/0.68 (define @t336 () (not @t69)) % 0.44/0.68 (define @t337 () (= @t75 @t76)) % 0.44/0.68 (define @t338 () (not @t337)) % 0.44/0.68 (define @t339 () (or @t338 @t336)) % 0.44/0.68 (define @t340 () (forall @t90 @t339)) % 0.44/0.68 (define @t341 () (or @t96 @t320 @t319 @t314 @t340)) % 0.44/0.68 (define @t342 () (forall @t333 @t341)) % 0.44/0.68 (define @t343 () (or @t242 @t342 @t311)) % 0.44/0.68 (define @t344 () (or @t242 @t341 @t310)) % 0.44/0.68 (define @t345 () (@list @t74 @t71)) % 0.44/0.68 (define @t346 () (or @t96 @t320 @t242 @t319 @t314 @t309 @t307 @t340)) % 0.44/0.68 (define @t347 () (forall @t345 @t346)) % 0.44/0.68 (define @t348 () (or @t320 @t242 @t319 @t314 @t309 @t307 @t340)) % 0.44/0.68 (define @t349 () (or @t242 @t319 @t314 @t309 @t307 @t340)) % 0.44/0.68 (define @t350 () (=> @t92 @t349)) % 0.44/0.68 (define @t351 () (or @t242 @t319 @t314 @t309 @t307 @t339)) % 0.44/0.68 (define @t352 () (or @t242 @t319 @t314 @t309 @t338 @t307 @t336)) % 0.44/0.68 (define @t353 () (not @t318)) % 0.44/0.68 (define @t354 () (and @t353 @t79)) % 0.44/0.68 (define @t355 () (not @t241)) % 0.44/0.68 (define @t356 () (and @t355 @t84)) % 0.44/0.68 (define @t357 () (or @t354 @t315)) % 0.44/0.68 (define @t358 () (not @t357)) % 0.44/0.68 (define @t359 () (or @t356 @t83)) % 0.44/0.68 (define @t360 () (not @t359)) % 0.44/0.68 (define @t361 () (not @t314)) % 0.44/0.68 (define @t362 () (not @t361)) % 0.44/0.68 (define @t363 () (or @t360 @t358 @t362 @t309 @t338)) % 0.44/0.68 (define @t364 () (and @t359 @t357 @t361 @t308 @t337)) % 0.44/0.68 (define @t365 () (not @t255)) % 0.44/0.68 (define @t366 () (not @t365)) % 0.44/0.68 (define @t367 () (or @t366 @t146 @t254 @t253 @t251)) % 0.44/0.68 (define @t368 () (and @t365 @t84 @t138 @t252 @t136)) % 0.44/0.68 (define @t369 () (not @t261)) % 0.44/0.68 (define @t370 () (and @t369 @t259)) % 0.44/0.68 (define @t371 () (not @t146)) % 0.44/0.68 (define @t372 () (or @t371 @t265 @t260)) % 0.44/0.68 (define @t373 () (and @t146 @t154 @t259)) % 0.44/0.68 (define @t374 () (forall @t207 @t204)) % 0.44/0.68 (define @t375 () (@quantifiers_skolemize @t374 0)) % 0.44/0.68 (define @t376 () (@quantifiers_skolemize @t374 6)) % 0.44/0.68 (define @t377 () (tptp.m_Down @t376)) % 0.44/0.68 (define @t378 () (tptp.elem @t377 @t375)) % 0.44/0.68 (define @t379 () (not @t378)) % 0.44/0.68 (define @t380 () (tptp.host @t376)) % 0.44/0.68 (define @t381 () (@quantifiers_skolemize @t374 3)) % 0.44/0.68 (define @t382 () (tptp.host @t381)) % 0.44/0.68 (define @t383 () (= @t382 @t380)) % 0.44/0.68 (define @t384 () (not @t383)) % 0.44/0.68 (define @t385 () (@quantifiers_skolemize @t374 1)) % 0.44/0.68 (define @t386 () (tptp.m_Halt @t385)) % 0.44/0.68 (define @t387 () (tptp.queue @t382)) % 0.44/0.68 (define @t388 () (@quantifiers_skolemize @t374 5)) % 0.44/0.68 (define @t389 () (tptp.m_Down @t388)) % 0.44/0.68 (define @t390 () (tptp.elem @t389 (tptp.snoc @t387 @t386))) % 0.44/0.68 (define @t391 () (not @t390)) % 0.44/0.68 (define @t392 () (tptp.host @t388)) % 0.44/0.68 (define @t393 () (@quantifiers_skolemize @t374 4)) % 0.44/0.68 (define @t394 () (tptp.host @t393)) % 0.44/0.68 (define @t395 () (= @t394 @t392)) % 0.44/0.68 (define @t396 () (not @t395)) % 0.44/0.68 (define @t397 () (= @t382 @t394)) % 0.44/0.68 (define @t398 () (@quantifiers_skolemize @t374 2)) % 0.44/0.68 (define @t399 () (and (or (= @t398 @t393) (not (tptp.setIn @t393 tptp.alive))) (not (= @t385 @t393)))) % 0.44/0.68 (define @t400 () (tptp.host @t398)) % 0.44/0.68 (define @t401 () (= @t400 @t394)) % 0.44/0.68 (define @t402 () (not @t401)) % 0.44/0.68 (define @t403 () (tptp.host @t385)) % 0.44/0.68 (define @t404 () (tptp.s @t403)) % 0.44/0.68 (define @t405 () (= @t404 @t394)) % 0.44/0.68 (define @t406 () (= @t385 @t381)) % 0.44/0.68 (define @t407 () (not @t406)) % 0.44/0.68 (define @t408 () (tptp.setIn @t381 tptp.alive)) % 0.44/0.68 (define @t409 () (not @t408)) % 0.44/0.68 (define @t410 () (or (= @t398 @t381) @t409)) % 0.44/0.68 (define @t411 () (and @t410 @t407)) % 0.44/0.68 (define @t412 () (= @t400 @t382)) % 0.44/0.68 (define @t413 () (= @t404 @t382)) % 0.44/0.68 (define @t414 () (not @t413)) % 0.44/0.68 (define @t415 () (tptp.leq tptp.nbr_proc @t403)) % 0.44/0.68 (define @t416 () (not (= @t9 @t403))) % 0.44/0.68 (define @t417 () (= @t400 @t403)) % 0.44/0.68 (define @t418 () (not @t417)) % 0.44/0.68 (define @t419 () (tptp.setIn @t385 tptp.pids)) % 0.44/0.68 (define @t420 () (tptp.leq @t11 @t385)) % 0.44/0.68 (define @t421 () (not (= tptp.norm (tptp.index tptp.status @t400)))) % 0.44/0.68 (define @t422 () (not (= @t400 (tptp.index tptp.ldr @t400)))) % 0.44/0.68 (define @t423 () (tptp.setIn @t398 tptp.alive)) % 0.44/0.68 (define @t424 () (not @t423)) % 0.44/0.68 (define @t425 () (tptp.m_NotNorm (tptp.index tptp.elid @t400))) % 0.44/0.68 (define @t426 () (tptp.cons @t425 @t375)) % 0.44/0.68 (define @t427 () (tptp.queue @t400)) % 0.44/0.68 (define @t428 () (= @t427 @t426)) % 0.44/0.68 (define @t429 () (not @t428)) % 0.44/0.68 (define @t430 () (or @t429 @t424 @t422 @t421 (not (forall @t105 (or (not (= @t65 @t400)) @t420))) @t419 @t418 @t416 @t415 @t414 @t412 @t411 @t405 @t402 @t399 @t397 @t396 @t391 @t384 @t379)) % 0.44/0.68 (define @t431 () (not @t430)) % 0.44/0.68 (define @t432 () (not @t374)) % 0.44/0.68 (define @t433 () (not (= @t400 @t65))) % 0.44/0.68 (define @t434 () (or @t433 @t420)) % 0.44/0.68 (define @t435 () (forall @t105 @t434)) % 0.44/0.68 (define @t436 () (not @t435)) % 0.44/0.68 (define @t437 () (or @t429 @t424 @t422 @t421 @t436 @t419 @t418 @t416 @t415 @t414 @t412 @t411 @t405 @t402 @t399 @t397 @t396 @t391 @t384 @t379)) % 0.44/0.68 (define @t438 () (not @t437)) % 0.44/0.68 (define @t439 () (@list true)) % 0.44/0.68 (define @t440 () (@list @t430)) % 0.44/0.68 (define @t441 () (tptp.elem @t389 @t387)) % 0.44/0.68 (define @t442 () (not @t441)) % 0.44/0.68 (define @t443 () (tptp.elem @t377 @t427)) % 0.44/0.68 (define @t444 () (not @t443)) % 0.44/0.68 (define @t445 () (not (= @t380 @t382))) % 0.44/0.68 (define @t446 () (= @t400 @t392)) % 0.44/0.68 (define @t447 () (not @t446)) % 0.44/0.68 (define @t448 () (or @t412 @t424 @t409 @t447 @t445 @t444 @t442)) % 0.44/0.68 (define @t449 () (or @t412 @t424 @t409 @t447 @t384 @t444 @t442)) % 0.44/0.68 (define @t450 () (@list false)) % 0.44/0.68 (define @t451 () (or (= @t377 @t425) @t378)) % 0.44/0.68 (define @t452 () (tptp.elem @t377 @t426)) % 0.44/0.68 (define @t453 () (= @t452 @t451)) % 0.44/0.68 (define @t454 () (or (= @t425 @t377) @t378)) % 0.44/0.68 (define @t455 () (= @t452 @t454)) % 0.44/0.68 (define @t456 () (@list false false)) % 0.44/0.68 (define @t457 () (tptp.queue @t403)) % 0.44/0.68 (define @t458 () (= @t389 @t386)) % 0.44/0.68 (define @t459 () (or @t458 @t441)) % 0.44/0.68 (define @t460 () (forall @t46 (= @t47 @t49))) % 0.44/0.68 (define @t461 () (= @t459 @t390)) % 0.44/0.68 (define @t462 () (= @t390 @t459)) % 0.44/0.68 (define @t463 () (not (= @t386 @t389))) % 0.44/0.68 (define @t464 () (forall @t18 (not (= @t16 @t19)))) % 0.44/0.68 (define @t465 () (@list true false)) % 0.44/0.68 (define @t466 () (not @t410)) % 0.44/0.68 (define @t467 () (and @t417 @t413 @t406 @t401)) % 0.44/0.68 (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))))) % 0.44/0.68 (assume @p2 (forall (@list @t7 @t5) (=> (= (tptp.s @t8) @t6) (not (= @t8 @t6))))) % 0.44/0.69 (assume @p3 (forall @t10 (tptp.leq @t9 @t8))) % 0.44/0.69 (assume @p4 (tptp.leq @t9 tptp.nbr_proc)) % 0.44/0.69 (assume @p5 (forall @t10 (tptp.leq @t8 tptp.nbr_proc))) % 0.44/0.69 (assume @p6 (not (= tptp.elec_1 tptp.elec_2))) % 0.44/0.69 (assume @p7 (not (= tptp.elec_1 tptp.wait))) % 0.44/0.69 (assume @p8 (not (= tptp.elec_1 tptp.norm))) % 0.44/0.69 (assume @p9 (not (= tptp.elec_2 tptp.wait))) % 0.44/0.69 (assume @p10 (not (= tptp.elec_2 tptp.norm))) % 0.44/0.69 (assume @p11 (not (= tptp.norm tptp.wait))) % 0.44/0.69 (assume @p12 (forall @t15 (not (= @t14 (tptp.m_Halt @t11))))) % 0.44/0.69 (assume @p13 (forall @t15 (not (= @t14 (tptp.m_Down @t11))))) % 0.44/0.69 (assume @p14 (forall @t15 (not (= @t14 (tptp.m_NotNorm @t11))))) % 0.44/0.69 (assume @p15 (forall @t15 (not (= @t14 (tptp.m_Ldr @t11))))) % 0.44/0.69 (assume @p16 (forall @t15 (not (= @t14 (tptp.m_NormQ @t11))))) % 0.44/0.69 (assume @p17 (forall @t18 (not (= @t17 @t16)))) % 0.44/0.69 (assume @p18 @t21) % 0.44/0.69 (assume @p19 (forall @t18 (not (= @t19 @t22)))) % 0.44/0.69 (assume @p20 (forall @t18 (not (= @t19 @t23)))) % 0.44/0.69 (assume @p21 (forall @t18 (not (= @t19 @t24)))) % 0.44/0.69 (assume @p22 (forall @t18 (not (= @t25 @t16)))) % 0.44/0.69 (assume @p23 (forall @t18 (not (= @t26 @t16)))) % 0.44/0.69 (assume @p24 (forall @t18 (not (= @t26 @t24)))) % 0.44/0.69 (assume @p25 (forall @t18 (not (= @t26 @t23)))) % 0.44/0.69 (assume @p26 (forall @t18 (not (= @t25 @t23)))) % 0.44/0.69 (assume @p27 (forall @t18 (= @t29 (not (= @t27 @t16))))) % 0.44/0.69 (assume @p28 (forall @t18 (= @t29 (not (= @t25 @t24))))) % 0.44/0.69 (assume @p29 (forall @t18 (= @t29 (not (= @t17 @t23))))) % 0.44/0.69 (assume @p30 (forall @t18 (= @t29 (not (= @t26 @t22))))) % 0.44/0.69 (assume @p31 (forall @t18 (= @t29 (not (= @t19 @t30))))) % 0.44/0.69 (assume @p32 (forall @t36 (=> (not (= @t34 @t32)) @t35))) % 0.44/0.69 (assume @p33 (forall @t36 (=> (not (= @t33 @t31)) @t35))) % 0.44/0.69 (assume @p34 (forall @t4 (=> (not (= @t3 (tptp.host @t1))) (not (= @t2 @t1))))) % 0.44/0.69 (assume @p35 (not (tptp.setIn tptp.nil tptp.alive))) % 0.44/0.69 (assume @p36 (forall @t38 (= (tptp.head @t37) @t13))) % 0.44/0.69 (assume @p37 (forall @t38 (= (tptp.tail @t37) @t5))) % 0.44/0.69 (assume @p38 (forall @t40 (= (tptp.last @t39) @t12))) % 0.44/0.69 (assume @p39 (forall @t40 (= (tptp.init @t39) @t5))) % 0.44/0.69 (assume @p40 (forall @t42 (or @t41 (= @t5 (tptp.cons (tptp.head @t5) (tptp.tail @t5)))))) % 0.44/0.69 (assume @p41 (forall @t42 (or @t41 (= @t5 (tptp.snoc (tptp.init @t5) (tptp.last @t5)))))) % 0.44/0.69 (assume @p42 (forall @t38 (not (= tptp.q_nil @t37)))) % 0.44/0.69 (assume @p43 (forall @t40 (not (= tptp.q_nil @t39)))) % 0.44/0.69 (assume @p44 (forall @t45 (= @t44 @t43))) % 0.44/0.69 (assume @p45 (forall @t46 (= (tptp.snoc @t37 @t12) (tptp.cons @t13 @t39)))) % 0.44/0.69 (assume @p46 (forall @t45 (not (tptp.elem @t13 tptp.q_nil)))) % 0.44/0.69 (assume @p47 @t48) % 0.44/0.69 (assume @p48 @t50) % 0.44/0.69 (assume @p49 (forall @t45 (= @t52 (exists @t51 (or (= @t13 @t16) (= @t13 @t30)))))) % 0.44/0.69 (assume @p50 (forall @t45 (= (tptp.pidMsg @t27) @t13))) % 0.44/0.69 (assume @p51 (forall @t45 (= (tptp.pidMsg @t19) @t13))) % 0.44/0.69 (assume @p52 (tptp.ordered tptp.q_nil)) % 0.44/0.69 (assume @p53 (forall @t45 (and (tptp.ordered @t44) (tptp.ordered @t43)))) % 0.44/0.69 (assume @p54 (forall @t38 (= (tptp.ordered @t37) (and @t56 (forall @t51 (=> @t55 (tptp.leq @t54 @t53))))))) % 0.44/0.69 (assume @p55 (forall @t38 (= (tptp.ordered (tptp.snoc @t5 @t13)) (and @t56 (forall @t51 (=> @t55 (tptp.leq @t53 @t54))))))) % 0.44/0.69 (assume @p56 (forall @t57 (=> @t56 (tptp.ordered (tptp.snoc @t5 @t14))))) % 0.44/0.69 (assume @p57 (forall (@list @t5 @t13) (=> @t56 (tptp.ordered (tptp.snoc @t5 @t26))))) % 0.44/0.69 (assume @p58 (forall @t57 (=> (and (tptp.ordered (tptp.cons @t27 @t5)) (= (tptp.host @t13) @t59) (tptp.elem @t30 @t5)) @t58))) % 0.44/0.69 (assume @p59 (forall @t45 (not (tptp.leq @t60 @t13)))) % 0.44/0.69 (assume @p60 (forall @t45 (tptp.leq @t13 @t13))) % 0.44/0.69 (assume @p61 (forall @t18 (or @t58 @t61))) % 0.44/0.69 (assume @p62 (forall @t18 (= (and @t58 @t61) @t28))) % 0.44/0.69 (assume @p63 (forall @t15 (=> (and @t58 (tptp.leq @t12 @t11)) (tptp.leq @t13 @t11)))) % 0.44/0.69 (assume @p64 (forall @t18 (= @t58 (tptp.leq @t60 @t62)))) % 0.44/0.69 (assume @p65 (forall @t18 (= (tptp.leq @t13 @t62) (or (= @t13 @t62) @t58)))) % 0.44/0.69 (assume @p66 (forall @t45 (not (tptp.setIn @t13 tptp.setEmpty)))) % 0.44/0.69 (assume @p67 @t174) % 0.44/0.69 (assume @p68 true) % 0.44/0.69 (step @p69 :rule aci_norm :args ((= (or @t203 @t202 @t201 @t199 false @t197 @t112 @t195 @t194 @t107 @t192 @t191 @t190 @t188 @t187 @t186 @t185 @t184 @t181 @t179 @t176) @t204))) % 0.44/0.69 (step @p70 :rule refl :args (@t176)) % 0.44/0.69 (step @p71 :rule refl :args (@t179)) % 0.44/0.69 (step @p72 :rule refl :args (@t181)) % 0.44/0.69 (step @p73 :rule refl :args (@t184)) % 0.44/0.69 (step @p74 :rule refl :args (@t185)) % 0.44/0.69 (step @p75 :rule refl :args (@t186)) % 0.44/0.69 (step @p76 :rule refl :args (@t187)) % 0.44/0.69 (step @p77 :rule refl :args (@t188)) % 0.44/0.69 (step @p78 :rule refl :args (@t190)) % 0.44/0.69 (step @p79 :rule refl :args (@t191)) % 0.44/0.69 (step @p80 :rule refl :args (@t192)) % 0.44/0.69 (step @p81 :rule refl :args (@t107)) % 0.44/0.69 (step @p82 :rule refl :args (@t194)) % 0.44/0.69 (step @p83 :rule refl :args (@t195)) % 0.44/0.69 (step @p84 :rule refl :args (@t112)) % 0.44/0.69 (step @p85 :rule refl :args (@t197)) % 0.44/0.69 (step @p86 :rule evaluate :args ((not true))) % 0.44/0.69 (step @p87 :rule eq-refl :args (@t118)) % 0.44/0.69 (step @p88 :rule cong :premises (@p87) :args (@t205)) % 0.44/0.69 (step @p89 :rule trans :premises (@p88 @p86)) % 0.44/0.69 (step @p90 :rule refl :args (@t199)) % 0.44/0.69 (step @p91 :rule refl :args (@t201)) % 0.44/0.69 (step @p92 :rule refl :args (@t202)) % 0.44/0.69 (step @p93 :rule refl :args (@t203)) % 0.44/0.69 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91 @p90 @p89 @p85 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70) :args (@t206)) % 0.44/0.69 (step @p95 :rule trans :premises (@p94 @p69)) % 0.44/0.69 (step @p96 :rule cong :premises (@p95) :args ((forall @t207 @t206))) % 0.44/0.69 (step @p97 :rule quant-var-elim-eq :args ((= (forall @t45 @t211) @t206))) % 0.44/0.69 (step @p98 :rule aci_norm :args ((= @t212 @t211))) % 0.44/0.69 (step @p99 :rule cong :premises (@p98) :args (@t213)) % 0.44/0.69 (step @p100 :rule trans :premises (@p99 @p97)) % 0.44/0.69 (step @p101 :rule cong :premises (@p100) :args (@t214)) % 0.44/0.69 (step @p102 :rule quant-merge-prenex :args ((= @t214 @t215))) % 0.44/0.69 (step @p103 :rule symm :premises (@p102)) % 0.44/0.69 (step @p104 :rule quant_var_reordering :args ((= (forall @t216 @t212) @t215))) % 0.44/0.69 (step @p105 :rule trans :premises (@p104 @p103 @p101)) % 0.44/0.69 (step @p106 :rule trans :premises (@p105 @p96)) % 0.44/0.69 (step @p107 :rule eq-symm :args (@t177 @t63)) % 0.44/0.69 (step @p108 :rule cong :premises (@p107) :args (@t217)) % 0.44/0.69 (step @p109 :rule refl :args (@t189)) % 0.44/0.69 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t218)) % 0.44/0.69 (step @p111 :rule eq-symm :args (@t178 @t95)) % 0.44/0.69 (step @p112 :rule cong :premises (@p111) :args (@t219)) % 0.44/0.69 (step @p113 :rule refl :args (@t209)) % 0.44/0.69 (step @p114 :rule refl :args (@t210)) % 0.44/0.69 (step @p115 :rule nary_cong :premises (@p114 @p92 @p91 @p90 @p113 @p85 @p84 @p83 @p82 @p81 @p112 @p79 @p110 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70) :args (@t220)) % 0.44/0.69 (step @p116 :rule aci_norm :args ((= @t222 @t220))) % 0.44/0.69 (step @p117 :rule trans :premises (@p116 @p115)) % 0.44/0.69 (step @p118 :rule cong :premises (@p117) :args (@t223)) % 0.44/0.69 (step @p119 :rule trans :premises (@p118 @p106)) % 0.44/0.69 (step @p120 :rule quant-merge-prenex :args ((= (forall @t172 @t225) @t223))) % 0.44/0.69 (step @p121 :rule alpha_equiv :args (@t226 (@list @t177 @t182 @t180 @t175) (@list @t11 @t229 @t228 @t227))) % 0.44/0.69 (step @p122 :rule refl :args (@t107)) % 0.44/0.69 (step @p123 :rule refl :args (@t194)) % 0.44/0.69 (step @p124 :rule refl :args (@t195)) % 0.44/0.69 (step @p125 :rule refl :args (@t112)) % 0.44/0.69 (step @p126 :rule refl :args (@t197)) % 0.44/0.69 (step @p127 :rule refl :args (@t209)) % 0.44/0.69 (step @p128 :rule refl :args (@t199)) % 0.44/0.69 (step @p129 :rule refl :args (@t201)) % 0.44/0.69 (step @p130 :rule refl :args (@t202)) % 0.44/0.69 (step @p131 :rule refl :args (@t210)) % 0.44/0.69 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121) :args (@t230)) % 0.44/0.69 (step @p133 :rule quant-miniscope-or :args ((= @t225 @t230))) % 0.44/0.69 (step @p134 :rule trans :premises (@p133 @p132)) % 0.44/0.69 (step @p135 :rule symm :premises (@p134)) % 0.44/0.69 (step @p136 :rule cong :premises (@p135) :args (@t249)) % 0.44/0.69 (step @p137 :rule trans :premises (@p136 @p120)) % 0.44/0.69 (step @p138 :rule trans :premises (@p137 @p119)) % 0.44/0.69 (step @p139 :rule refl :args (@t258)) % 0.44/0.69 (step @p140 :rule refl :args (@t264)) % 0.44/0.69 (step @p141 :rule refl :args (@t268)) % 0.44/0.69 (step @p142 :rule refl :args (@t270)) % 0.44/0.69 (step @p143 :rule refl :args (@t272)) % 0.44/0.69 (step @p144 :rule refl :args (@t274)) % 0.44/0.69 (step @p145 :rule refl :args (@t276)) % 0.44/0.69 (step @p146 :rule refl :args (@t278)) % 0.44/0.69 (step @p147 :rule nary_cong :premises (@p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138) :args (@t279)) % 0.44/0.69 (step @p148 :rule quant-miniscope-or :args ((= (forall @t172 @t280) @t279))) % 0.44/0.69 (step @p149 :rule aci_norm :args ((= @t281 @t280))) % 0.44/0.69 (step @p150 :rule cong :premises (@p149) :args ((forall @t172 @t281))) % 0.44/0.69 (step @p151 :rule trans :premises (@p150 @p148)) % 0.44/0.69 (step @p152 :rule trans :premises (@p151 @p147)) % 0.44/0.69 (step @p153 :rule aci_norm :args ((= (or @t283 @t282) @t281))) % 0.44/0.69 (step @p154 :rule aci_norm :args ((= (or @t202 @t284) @t282))) % 0.44/0.69 (step @p155 :rule aci_norm :args ((= (or @t286 @t285) @t284))) % 0.44/0.69 (step @p156 :rule aci_norm :args ((= (or (or @t197 @t112 @t195) @t287) @t285))) % 0.44/0.69 (step @p157 :rule aci_norm :args ((= (or @t194 (or @t107 @t247)) @t287))) % 0.44/0.69 (step @p158 :rule refl :args (@t247)) % 0.44/0.69 (step @p159 :rule bool-double-not-elim :args (@t107)) % 0.44/0.69 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or (not @t108) @t247))) % 0.44/0.69 (step @p161 :rule bool-impl-elim :args (@t108 @t247)) % 0.44/0.69 (step @p162 :rule trans :premises (@p161 @p160)) % 0.44/0.69 (step @p163 :rule nary_cong :premises (@p123 @p162) :args ((or @t194 @t288))) % 0.44/0.69 (step @p164 :rule trans :premises (@p163 @p157)) % 0.44/0.69 (step @p165 :rule bool-impl-elim :args (@t193 @t288)) % 0.44/0.69 (step @p166 :rule trans :premises (@p165 @p164)) % 0.44/0.69 (step @p167 :rule bool-double-not-elim :args (@t112)) % 0.44/0.69 (step @p168 :rule nary_cong :premises (@p126 @p167 @p124) :args (@t290)) % 0.44/0.69 (step @p169 :rule aci_norm :args ((= (or @t197 (or @t289 @t195)) @t290))) % 0.44/0.69 (step @p170 :rule trans :premises (@p169 @p168)) % 0.44/0.69 (step @p171 :rule bool-and-de-morgan :args (@t113 @t111 true)) % 0.44/0.69 (step @p172 :rule nary_cong :premises (@p126 @p171) :args ((or @t197 (not (and @t113 @t111))))) % 0.44/0.69 (step @p173 :rule bool-and-de-morgan :args (@t196 @t113 (and @t111))) % 0.44/0.69 (step @p174 :rule trans :premises (@p173 @p172)) % 0.44/0.69 (step @p175 :rule trans :premises (@p174 @p170)) % 0.44/0.69 (step @p176 :rule nary_cong :premises (@p175 @p166) :args ((or (not @t292) @t291))) % 0.44/0.69 (step @p177 :rule trans :premises (@p176 @p156)) % 0.44/0.69 (step @p178 :rule bool-impl-elim :args (@t292 @t291)) % 0.44/0.69 (step @p179 :rule trans :premises (@p178 @p177)) % 0.44/0.69 (step @p180 :rule aci_norm :args ((= (or @t201 (or @t199 @t209)) @t286))) % 0.44/0.69 (step @p181 :rule bool-and-de-morgan :args (@t198 @t208 true)) % 0.44/0.69 (step @p182 :rule nary_cong :premises (@p129 @p181) :args ((or @t201 (not (and @t198 @t208))))) % 0.44/0.69 (step @p183 :rule bool-and-de-morgan :args (@t200 @t198 (and @t208))) % 0.44/0.69 (step @p184 :rule trans :premises (@p183 @p182)) % 0.44/0.69 (step @p185 :rule trans :premises (@p184 @p180)) % 0.44/0.69 (step @p186 :rule nary_cong :premises (@p185 @p179) :args ((or (not @t294) @t293))) % 0.44/0.69 (step @p187 :rule trans :premises (@p186 @p155)) % 0.44/0.69 (step @p188 :rule bool-impl-elim :args (@t294 @t293)) % 0.44/0.69 (step @p189 :rule trans :premises (@p188 @p187)) % 0.44/0.69 (step @p190 :rule nary_cong :premises (@p130 @p189) :args ((or @t202 @t295))) % 0.44/0.69 (step @p191 :rule trans :premises (@p190 @p154)) % 0.44/0.69 (step @p192 :rule bool-impl-elim :args (@t123 @t295)) % 0.44/0.69 (step @p193 :rule trans :premises (@p192 @p191)) % 0.44/0.69 (step @p194 :rule aci_norm :args ((= (or @t278 (or @t276 (or @t274 (or @t272 (or @t270 (or @t268 (or @t264 (or @t258 @t210)))))))) @t283))) % 0.44/0.69 (step @p195 :rule bool-and-de-morgan :args (@t257 @t126 true)) % 0.44/0.69 (step @p196 :rule refl :args (@t264)) % 0.44/0.69 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or @t264 (not (and @t257 @t126))))) % 0.44/0.69 (step @p198 :rule bool-and-de-morgan :args (@t263 @t257 (and @t126))) % 0.44/0.69 (step @p199 :rule trans :premises (@p198 @p197)) % 0.44/0.69 (step @p200 :rule refl :args (@t268)) % 0.44/0.69 (step 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(@t430 10)) % 0.44/0.69 (step @p679 :rule chain_m_resolution :premises (@p678 @p543) :args ((not @t412) @t439 @t440)) % 0.44/0.69 (step @p680 :rule bool-double-not-elim :args (@t423)) % 0.44/0.69 (step @p681 :rule nary_cong :premises (@p545 @p680) :args ((or @t430 (not @t424)))) % 0.44/0.69 (step @p682 :rule cnf_or_neg :args (@t430 1)) % 0.44/0.69 (step @p683 :rule eq_resolve :premises (@p682 @p681)) % 0.44/0.69 (step @p684 :rule reordering :premises (@p683) :args ((or @t423 @t430))) % 0.44/0.69 (step @p685 :rule chain_m_resolution :premises (@p684 @p543) :args (@t423 @t439 @t440)) % 0.44/0.69 (step @p686 :rule cnf_or_pos :args (@t449)) % 0.44/0.69 (step @p687 :rule reordering :premises (@p686) :args ((or @t424 @t412 @t409 @t384 @t447 @t442 @t444 (not @t449)))) % 0.44/0.69 (step @p688 :rule chain_m_resolution :premises (@p687 @p685 @p679 @p677 @p671 @p664 @p624 @p582) :args (@t409 (@list false true false false false false false) (@list @t423 @t412 @t383 @t446 @t441 @t443 @t449))) % 0.44/0.69 (step @p689 :rule bool-double-not-elim :args (@t408)) % 0.44/0.69 (step @p690 :rule refl :args (@t410)) % 0.44/0.69 (step @p691 :rule nary_cong :premises (@p690 @p689) :args ((or @t410 (not @t409)))) % 0.44/0.69 (step @p692 :rule cnf_or_neg :args (@t410 1)) % 0.44/0.69 (step @p693 :rule eq_resolve :premises (@p692 @p691)) % 0.44/0.69 (step @p694 :rule reordering :premises (@p693) :args ((or @t408 @t410))) % 0.44/0.69 (step @p695 :rule chain_m_resolution :premises (@p694 @p688) :args (@t410 @t439 (@list @t408))) % 0.44/0.69 (step @p696 :rule cnf_or_neg :args (@t430 11)) % 0.44/0.69 (step @p697 :rule chain_m_resolution :premises (@p696 @p543) :args ((not @t411) @t439 @t440)) % 0.44/0.69 (step @p698 :rule bool-double-not-elim :args (@t406)) % 0.44/0.69 (step @p699 :rule refl :args (@t466)) % 0.44/0.69 (step @p700 :rule nary_cong :premises (@p515 @p699 @p698) :args ((or @t411 @t466 (not @t407)))) % 0.44/0.69 (step @p701 :rule cnf_and_neg :args (@t411)) % 0.44/0.69 (step @p702 :rule eq_resolve :premises (@p701 @p700)) % 0.44/0.69 (step @p703 :rule reordering :premises (@p702) :args ((or @t406 @t411 @t466))) % 0.44/0.69 (step @p704 :rule chain_m_resolution :premises (@p703 @p697 @p695) :args (@t406 @t465 (@list @t411 @t410))) % 0.44/0.69 (assume-push @p732 @t417) % 0.44/0.69 (assume-push @p733 @t413) % 0.44/0.69 (assume-push @p734 @t406) % 0.44/0.69 (assume-push @p735 @t401) % 0.44/0.69 (step @p709 :rule symm :premises (@p704)) % 0.44/0.69 (step @p710 :rule cong :premises (@p709) :args (@t382)) % 0.44/0.69 (step @p711 :rule trans :premises (@p556 @p710 @p616 @p564)) % 0.44/0.69 (step-pop @p736 :rule scope :premises (@p711)) % 0.44/0.69 (step-pop @p737 :rule scope :premises (@p736)) % 0.44/0.69 (step-pop @p738 :rule scope :premises (@p737)) % 0.44/0.69 (step-pop @p739 :rule scope :premises (@p738)) % 0.44/0.69 (step @p712 :rule process_scope :premises (@p739) :args (@t405)) % 0.44/0.69 (step @p717 :rule implies_elim :premises (@p712)) % 0.44/0.69 (step @p718 :rule cnf_and_neg :args (@t467)) % 0.44/0.69 (step @p719 :rule resolution :premises (@p718 @p717) :args (true @t467)) % 0.44/0.69 (step @p720 :rule reordering :premises (@p719) :args ((or @t418 @t414 @t407 @t405 @t402))) % 0.44/0.69 (step @p721 false :rule chain_m_resolution :premises (@p720 @p704 @p564 @p558 @p556 @p550) :args (false (@list false false true false false) (@list @t406 @t401 @t405 @t413 @t417))) % 0.44/0.69 ) % 0.44/0.69 % SZS output end Proof % 0.44/0.69 % cvc5 exiting %------------------------------------------------------------------------------