%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV473+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 : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:01:37 AM UTC 2026 % Result : Theorem 0.37s 0.74s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV473+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 20:19:49 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.74 % SZS status Theorem % 0.37/0.74 % SZS output start Proof % 0.37/0.74 ( % 0.37/0.74 (declare-sort $$unsorted 0) % 0.37/0.74 (declare-const tptp.elid $$unsorted) % 0.37/0.74 (declare-const tptp.pendack $$unsorted) % 0.37/0.74 (declare-const tptp.down $$unsorted) % 0.37/0.74 (declare-const tptp.index (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.ordered (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.pidMsg (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.elec_1 $$unsorted) % 0.37/0.74 (declare-const tptp.zero $$unsorted) % 0.37/0.74 (declare-const tptp.elem (-> $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.m_Ack (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.setEmpty $$unsorted) % 0.37/0.74 (declare-const tptp.elec_2 $$unsorted) % 0.37/0.74 (declare-const tptp.queue (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.nbr_proc $$unsorted) % 0.37/0.74 (declare-const tptp.status $$unsorted) % 0.37/0.74 (declare-const tptp.setIn (-> $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.wait $$unsorted) % 0.37/0.74 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.ldr $$unsorted) % 0.37/0.74 (declare-const tptp.norm $$unsorted) % 0.37/0.74 (declare-const tptp.m_Ldr (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.host (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.pids $$unsorted) % 0.37/0.74 (declare-const tptp.pidElem (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.m_Down (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.last (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.m_NotNorm (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.m_Halt (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.alive $$unsorted) % 0.37/0.74 (declare-const tptp.nil $$unsorted) % 0.37/0.74 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.snoc (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.init (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.m_NormQ (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.q_nil $$unsorted) % 0.37/0.74 (define @t1 () (@var "Pid2" $$unsorted)) % 0.37/0.74 (define @t2 () (@var "Pid" $$unsorted)) % 0.37/0.74 (define @t3 () (tptp.host @t2)) % 0.37/0.74 (define @t4 () (@list @t2 @t1)) % 0.37/0.74 (define @t5 () (@var "Q" $$unsorted)) % 0.37/0.74 (define @t6 () (tptp.host @t5)) % 0.37/0.74 (define @t7 () (@var "P" $$unsorted)) % 0.37/0.74 (define @t8 () (tptp.host @t7)) % 0.37/0.74 (define @t9 () (tptp.s tptp.zero)) % 0.37/0.74 (define @t10 () (@list @t7)) % 0.37/0.74 (define @t11 () (@var "Z" $$unsorted)) % 0.37/0.74 (define @t12 () (@var "Y" $$unsorted)) % 0.37/0.74 (define @t13 () (@var "X" $$unsorted)) % 0.37/0.74 (define @t14 () (tptp.m_Ack @t13 @t12)) % 0.37/0.74 (define @t15 () (@list @t13 @t12 @t11)) % 0.37/0.74 (define @t16 () (tptp.m_Down @t11)) % 0.37/0.74 (define @t17 () (tptp.m_NotNorm @t11)) % 0.37/0.74 (define @t18 () (tptp.m_Halt @t12)) % 0.37/0.74 (define @t19 () (tptp.m_NotNorm @t13)) % 0.37/0.74 (define @t20 () (@list @t13 @t12)) % 0.37/0.74 (define @t21 () (tptp.m_Down @t13)) % 0.37/0.74 (define @t22 () (tptp.m_Ldr @t12)) % 0.37/0.74 (define @t23 () (tptp.m_NotNorm @t12)) % 0.37/0.74 (define @t24 () (tptp.m_NormQ @t12)) % 0.37/0.74 (define @t25 () (tptp.m_NormQ @t13)) % 0.37/0.74 (define @t26 () (tptp.m_Ldr @t13)) % 0.37/0.74 (define @t27 () (tptp.m_Halt @t13)) % 0.37/0.74 (define @t28 () (= @t13 @t12)) % 0.37/0.74 (define @t29 () (not @t28)) % 0.37/0.74 (define @t30 () (tptp.m_Down @t12)) % 0.37/0.74 (define @t31 () (@var "Y2" $$unsorted)) % 0.37/0.74 (define @t32 () (@var "X2" $$unsorted)) % 0.37/0.74 (define @t33 () (@var "Y1" $$unsorted)) % 0.37/0.74 (define @t34 () (@var "X1" $$unsorted)) % 0.37/0.74 (define @t35 () (not (= (tptp.m_Ack @t34 @t33) (tptp.m_Ack @t32 @t31)))) % 0.37/0.74 (define @t36 () (@list @t34 @t32 @t33 @t31)) % 0.37/0.74 (define @t37 () (tptp.cons @t13 @t5)) % 0.37/0.74 (define @t38 () (@list @t13 @t5)) % 0.37/0.74 (define @t39 () (tptp.snoc @t5 @t12)) % 0.37/0.74 (define @t40 () (@list @t12 @t5)) % 0.37/0.74 (define @t41 () (= @t5 tptp.q_nil)) % 0.37/0.74 (define @t42 () (@list @t5)) % 0.37/0.74 (define @t43 () (tptp.snoc tptp.q_nil @t13)) % 0.37/0.74 (define @t44 () (tptp.cons @t13 tptp.q_nil)) % 0.37/0.74 (define @t45 () (@list @t13)) % 0.37/0.74 (define @t46 () (@list @t13 @t12 @t5)) % 0.37/0.74 (define @t47 () (or @t28 (tptp.elem @t13 @t5))) % 0.37/0.74 (define @t48 () (forall @t46 (= (tptp.elem @t13 (tptp.cons @t12 @t5)) @t47))) % 0.37/0.74 (define @t49 () (@list @t12)) % 0.37/0.74 (define @t50 () (tptp.pidElem @t13)) % 0.37/0.74 (define @t51 () (tptp.pidMsg @t12)) % 0.37/0.74 (define @t52 () (tptp.pidMsg @t13)) % 0.37/0.74 (define @t53 () (and (tptp.elem @t12 @t5) @t50 (tptp.pidElem @t12) (= (tptp.host @t51) (tptp.host @t52)))) % 0.37/0.74 (define @t54 () (tptp.ordered @t5)) % 0.37/0.74 (define @t55 () (@list @t5 @t13 @t12)) % 0.37/0.74 (define @t56 () (tptp.leq @t13 @t12)) % 0.37/0.74 (define @t57 () (tptp.host @t12)) % 0.37/0.74 (define @t58 () (tptp.host @t13)) % 0.37/0.74 (define @t59 () (tptp.s @t13)) % 0.37/0.74 (define @t60 () (tptp.leq @t12 @t13)) % 0.37/0.74 (define @t61 () (tptp.s @t12)) % 0.37/0.74 (define @t62 () (tptp.host @t11)) % 0.37/0.74 (define @t63 () (tptp.queue @t62)) % 0.37/0.74 (define @t64 () (@var "W0" $$unsorted)) % 0.37/0.74 (define @t65 () (tptp.elem (tptp.m_Down @t64) @t63)) % 0.37/0.74 (define @t66 () (tptp.setIn @t11 tptp.alive)) % 0.37/0.74 (define @t67 () (not (and @t66 @t65))) % 0.37/0.74 (define @t68 () (@var "Y0" $$unsorted)) % 0.37/0.74 (define @t69 () (tptp.host @t68)) % 0.37/0.74 (define @t70 () (tptp.index tptp.status @t69)) % 0.37/0.74 (define @t71 () (= @t69 (tptp.host @t64))) % 0.37/0.74 (define @t72 () (@var "V" $$unsorted)) % 0.37/0.74 (define @t73 () (@var "X0" $$unsorted)) % 0.37/0.74 (define @t74 () (tptp.elem (tptp.m_Down @t73) @t72)) % 0.37/0.74 (define @t75 () (@var "V0" $$unsorted)) % 0.37/0.74 (define @t76 () (= @t75 (tptp.host @t73))) % 0.37/0.74 (define @t77 () (tptp.setIn @t75 (tptp.index tptp.down @t69))) % 0.37/0.74 (define @t78 () (or @t77 @t76)) % 0.37/0.74 (define @t79 () (tptp.leq @t9 @t75)) % 0.37/0.74 (define @t80 () (tptp.leq @t69 @t75)) % 0.37/0.74 (define @t81 () (not @t80)) % 0.37/0.74 (define @t82 () (and @t81 @t79)) % 0.37/0.74 (define @t83 () (@list @t75)) % 0.37/0.74 (define @t84 () (forall @t83 (=> @t82 @t78))) % 0.37/0.74 (define @t85 () (and @t84 @t74 @t71 (= @t69 tptp.nbr_proc) (= @t70 tptp.elec_1))) % 0.37/0.74 (define @t86 () (=> @t85 @t67)) % 0.37/0.74 (define @t87 () (= @t58 @t69)) % 0.37/0.74 (define @t88 () (=> @t87 @t86)) % 0.37/0.74 (define @t89 () (@list @t64 @t73 @t68)) % 0.37/0.74 (define @t90 () (forall @t89 @t88)) % 0.37/0.74 (define @t91 () (= @t58 @t62)) % 0.37/0.74 (define @t92 () (not @t91)) % 0.37/0.74 (define @t93 () (=> @t92 @t90)) % 0.37/0.74 (define @t94 () (@list @t11)) % 0.37/0.74 (define @t95 () (forall @t94 @t93)) % 0.37/0.74 (define @t96 () (= @t57 (tptp.index tptp.pendack @t58))) % 0.37/0.74 (define @t97 () (tptp.index tptp.status @t58)) % 0.37/0.74 (define @t98 () (@var "W" $$unsorted)) % 0.37/0.74 (define @t99 () (tptp.index tptp.elid @t58)) % 0.37/0.74 (define @t100 () (and (= @t99 @t98) (= @t97 tptp.elec_2) @t96)) % 0.37/0.74 (define @t101 () (not @t100)) % 0.37/0.74 (define @t102 () (=> @t101 @t95)) % 0.37/0.74 (define @t103 () (tptp.setIn @t13 tptp.alive)) % 0.37/0.74 (define @t104 () (=> @t103 @t102)) % 0.37/0.74 (define @t105 () (= (tptp.queue @t58) (tptp.cons (tptp.m_Ack @t98 @t12) @t72))) % 0.37/0.74 (define @t106 () (@var "Pid30" $$unsorted)) % 0.37/0.74 (define @t107 () (tptp.m_Down @t106)) % 0.37/0.74 (define @t108 () (tptp.elem @t107 @t63)) % 0.37/0.74 (define @t109 () (not (and @t66 @t108))) % 0.37/0.74 (define @t110 () (@var "Pid0" $$unsorted)) % 0.37/0.74 (define @t111 () (tptp.host @t110)) % 0.37/0.74 (define @t112 () (tptp.index tptp.status @t111)) % 0.37/0.74 (define @t113 () (tptp.host @t106)) % 0.37/0.74 (define @t114 () (= @t111 @t113)) % 0.37/0.74 (define @t115 () (= @t111 tptp.nbr_proc)) % 0.37/0.74 (define @t116 () (tptp.queue @t111)) % 0.37/0.74 (define @t117 () (@var "Pid20" $$unsorted)) % 0.37/0.74 (define @t118 () (tptp.elem (tptp.m_Down @t117) @t116)) % 0.37/0.74 (define @t119 () (tptp.host @t117)) % 0.37/0.74 (define @t120 () (tptp.setIn @t75 (tptp.index tptp.down @t111))) % 0.37/0.74 (define @t121 () (or @t120 (= @t75 @t119))) % 0.37/0.74 (define @t122 () (tptp.leq @t111 @t75)) % 0.37/0.74 (define @t123 () (not @t122)) % 0.37/0.74 (define @t124 () (and @t123 @t79)) % 0.37/0.74 (define @t125 () (=> @t124 @t121)) % 0.37/0.74 (define @t126 () (forall @t83 @t125)) % 0.37/0.74 (define @t127 () (and @t126 @t118 @t115 @t114 (= @t112 tptp.elec_1))) % 0.37/0.74 (define @t128 () (=> @t127 @t109)) % 0.37/0.74 (define @t129 () (@list @t11 @t106 @t117 @t110)) % 0.37/0.74 (define @t130 () (forall @t129 @t128)) % 0.37/0.74 (define @t131 () (tptp.setIn @t113 (tptp.index tptp.down @t119))) % 0.37/0.74 (define @t132 () (tptp.elem (tptp.m_Down @t110) @t63)) % 0.37/0.74 (define @t133 () (not (and @t132 @t131))) % 0.37/0.74 (define @t134 () (= @t111 @t119)) % 0.37/0.74 (define @t135 () (tptp.setIn @t117 tptp.alive)) % 0.37/0.74 (define @t136 () (not (= @t119 @t62))) % 0.37/0.74 (define @t137 () (and @t136 @t66 @t135 (= @t113 @t62) @t134)) % 0.37/0.74 (define @t138 () (=> @t137 @t133)) % 0.37/0.74 (define @t139 () (forall @t129 @t138)) % 0.37/0.74 (define @t140 () (tptp.queue @t119)) % 0.37/0.74 (define @t141 () (tptp.elem @t107 @t140)) % 0.37/0.74 (define @t142 () (not (and @t132 @t141))) % 0.37/0.74 (define @t143 () (=> @t137 @t142)) % 0.37/0.74 (define @t144 () (forall @t129 @t143)) % 0.37/0.74 (define @t145 () (not (tptp.elem @t16 @t140))) % 0.37/0.74 (define @t146 () (tptp.host (tptp.index tptp.elid @t111))) % 0.37/0.74 (define @t147 () (= @t111 @t62)) % 0.37/0.74 (define @t148 () (tptp.setIn @t110 tptp.alive)) % 0.37/0.74 (define @t149 () (not @t134)) % 0.37/0.74 (define @t150 () (and @t149 @t148 @t147 (= @t112 tptp.wait) (= @t146 @t119))) % 0.37/0.74 (define @t151 () (=> @t150 @t145)) % 0.37/0.74 (define @t152 () (@list @t11 @t117 @t110)) % 0.37/0.74 (define @t153 () (forall @t152 @t151)) % 0.37/0.74 (define @t154 () (tptp.index tptp.ldr @t111)) % 0.37/0.74 (define @t155 () (and @t149 @t148 @t147 (= @t112 tptp.norm) (= @t154 @t119))) % 0.37/0.74 (define @t156 () (=> @t155 @t145)) % 0.37/0.74 (define @t157 () (forall @t152 @t156)) % 0.37/0.74 (define @t158 () (tptp.index tptp.elid @t62)) % 0.37/0.74 (define @t159 () (tptp.index tptp.status @t62)) % 0.37/0.74 (define @t160 () (or (= @t159 tptp.elec_1) (= @t159 tptp.elec_2))) % 0.37/0.74 (define @t161 () (and @t160 @t66)) % 0.37/0.74 (define @t162 () (=> @t161 (= @t158 @t11))) % 0.37/0.74 (define @t163 () (forall @t94 @t162)) % 0.37/0.74 (define @t164 () (not @t148)) % 0.37/0.74 (define @t165 () (not @t66)) % 0.37/0.74 (define @t166 () (or @t165 @t164)) % 0.37/0.74 (define @t167 () (not (= @t110 @t11))) % 0.37/0.74 (define @t168 () (and @t167 @t147)) % 0.37/0.74 (define @t169 () (=> @t168 @t166)) % 0.37/0.74 (define @t170 () (@list @t11 @t110)) % 0.37/0.74 (define @t171 () (forall @t170 @t169)) % 0.37/0.74 (define @t172 () (not (tptp.elem @t17 @t116))) % 0.37/0.74 (define @t173 () (=> @t115 @t172)) % 0.37/0.74 (define @t174 () (forall @t170 @t173)) % 0.37/0.74 (define @t175 () (not @t147)) % 0.37/0.74 (define @t176 () (=> @t132 @t175)) % 0.37/0.74 (define @t177 () (forall @t170 @t176)) % 0.37/0.74 (define @t178 () (not (tptp.leq @t62 @t111))) % 0.37/0.74 (define @t179 () (tptp.elem (tptp.m_Ldr @t110) @t63)) % 0.37/0.74 (define @t180 () (forall @t170 (=> @t179 @t178))) % 0.37/0.74 (define @t181 () (and @t180 @t177 @t174 @t171 @t163 @t157 @t153 @t144 @t139 @t130 @t105)) % 0.37/0.74 (define @t182 () (=> @t181 @t104)) % 0.37/0.74 (define @t183 () (@list @t72 @t98 @t13 @t12)) % 0.37/0.74 (define @t184 () (forall @t183 @t182)) % 0.37/0.74 (define @t185 () (not @t184)) % 0.37/0.74 (define @t186 () (@var "BOUND_VARIABLE_8319" $$unsorted)) % 0.37/0.74 (define @t187 () (tptp.host @t186)) % 0.37/0.74 (define @t188 () (@var "BOUND_VARIABLE_8321" $$unsorted)) % 0.37/0.74 (define @t189 () (not (tptp.elem (tptp.m_Down @t188) (tptp.queue @t187)))) % 0.37/0.74 (define @t190 () (@var "BOUND_VARIABLE_8325" $$unsorted)) % 0.37/0.74 (define @t191 () (tptp.host @t190)) % 0.37/0.74 (define @t192 () (not (= tptp.elec_1 (tptp.index tptp.status @t191)))) % 0.37/0.74 (define @t193 () (not (= tptp.nbr_proc @t191))) % 0.37/0.74 (define @t194 () (not (= @t191 (tptp.host @t188)))) % 0.37/0.74 (define @t195 () (@var "BOUND_VARIABLE_8323" $$unsorted)) % 0.37/0.74 (define @t196 () (not (tptp.elem (tptp.m_Down @t195) @t72))) % 0.37/0.74 (define @t197 () (not @t79)) % 0.37/0.74 (define @t198 () (not (forall @t83 (or (tptp.leq @t191 @t75) @t197 (tptp.setIn @t75 (tptp.index tptp.down @t191)) (= @t75 (tptp.host @t195)))))) % 0.37/0.74 (define @t199 () (not (= @t58 @t191))) % 0.37/0.74 (define @t200 () (not (tptp.setIn @t186 tptp.alive))) % 0.37/0.74 (define @t201 () (= @t58 @t187)) % 0.37/0.74 (define @t202 () (and (= @t98 @t99) (= tptp.elec_2 @t97) @t96)) % 0.37/0.74 (define @t203 () (not @t103)) % 0.37/0.74 (define @t204 () (not @t105)) % 0.37/0.74 (define @t205 () (or @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t196 @t194 @t193 @t192 @t189)) % 0.37/0.74 (define @t206 () (or @t201 @t200 @t199 @t198 @t196 @t194 @t193 @t192 @t189)) % 0.37/0.74 (define @t207 () (or @t204 @t203 @t202 @t206)) % 0.37/0.74 (define @t208 () (@list @t72 @t98 @t13 @t12 @t186 @t188 @t195 @t190)) % 0.37/0.74 (define @t209 () (forall @t208 @t207)) % 0.37/0.74 (define @t210 () (@list @t186 @t188 @t195 @t190)) % 0.37/0.74 (define @t211 () (forall @t210 @t207)) % 0.37/0.74 (define @t212 () (forall @t210 @t206)) % 0.37/0.74 (define @t213 () (@var "BOUND_VARIABLE_8261" $$unsorted)) % 0.37/0.74 (define @t214 () (@var "BOUND_VARIABLE_8259" $$unsorted)) % 0.37/0.74 (define @t215 () (@var "BOUND_VARIABLE_8257" $$unsorted)) % 0.37/0.74 (define @t216 () (or @t204 @t203 @t202 @t212)) % 0.37/0.74 (define @t217 () (not (tptp.elem (tptp.m_Down @t215) @t63))) % 0.37/0.74 (define @t218 () (tptp.host @t213)) % 0.37/0.74 (define @t219 () (not (= tptp.elec_1 (tptp.index tptp.status @t218)))) % 0.37/0.74 (define @t220 () (not (= tptp.nbr_proc @t218))) % 0.37/0.74 (define @t221 () (not (= @t218 (tptp.host @t215)))) % 0.37/0.74 (define @t222 () (not (tptp.elem (tptp.m_Down @t214) @t72))) % 0.37/0.74 (define @t223 () (not (forall @t83 (or (tptp.leq @t218 @t75) @t197 (tptp.setIn @t75 (tptp.index tptp.down @t218)) (= @t75 (tptp.host @t214)))))) % 0.37/0.74 (define @t224 () (not (= @t58 @t218))) % 0.37/0.74 (define @t225 () (or @t91 @t165 @t224 @t223 @t222 @t221 @t220 @t219 @t217)) % 0.37/0.74 (define @t226 () (@list @t11 @t215 @t214 @t213)) % 0.37/0.74 (define @t227 () (forall @t226 @t225)) % 0.37/0.74 (define @t228 () (or @t204 @t203 @t202 @t227)) % 0.37/0.74 (define @t229 () (forall @t183 @t228)) % 0.37/0.74 (define @t230 () (not @t108)) % 0.37/0.74 (define @t231 () (= tptp.elec_1 @t112)) % 0.37/0.74 (define @t232 () (not @t231)) % 0.37/0.74 (define @t233 () (not @t114)) % 0.37/0.74 (define @t234 () (= tptp.nbr_proc @t111)) % 0.37/0.74 (define @t235 () (not @t234)) % 0.37/0.74 (define @t236 () (not @t118)) % 0.37/0.74 (define @t237 () (= @t119 @t75)) % 0.37/0.74 (define @t238 () (or @t122 @t197 @t120 @t237)) % 0.37/0.74 (define @t239 () (forall @t83 @t238)) % 0.37/0.74 (define @t240 () (not @t239)) % 0.37/0.74 (define @t241 () (or @t240 @t236 @t235 @t233 @t232 @t165 @t230)) % 0.37/0.74 (define @t242 () (forall @t129 @t241)) % 0.37/0.74 (define @t243 () (not @t242)) % 0.37/0.74 (define @t244 () (not @t131)) % 0.37/0.74 (define @t245 () (not @t132)) % 0.37/0.74 (define @t246 () (= @t62 @t113)) % 0.37/0.74 (define @t247 () (not @t246)) % 0.37/0.74 (define @t248 () (not @t135)) % 0.37/0.74 (define @t249 () (= @t62 @t119)) % 0.37/0.74 (define @t250 () (or @t249 @t165 @t248 @t247 @t149 @t245 @t244)) % 0.37/0.74 (define @t251 () (forall @t129 @t250)) % 0.37/0.74 (define @t252 () (not @t251)) % 0.37/0.74 (define @t253 () (not @t141)) % 0.37/0.74 (define @t254 () (or @t249 @t165 @t248 @t247 @t149 @t245 @t253)) % 0.37/0.74 (define @t255 () (forall @t129 @t254)) % 0.37/0.74 (define @t256 () (not @t255)) % 0.37/0.74 (define @t257 () (= @t119 @t146)) % 0.37/0.74 (define @t258 () (not @t257)) % 0.37/0.74 (define @t259 () (= tptp.wait @t112)) % 0.37/0.74 (define @t260 () (not @t259)) % 0.37/0.74 (define @t261 () (= @t62 @t111)) % 0.37/0.74 (define @t262 () (not @t261)) % 0.37/0.74 (define @t263 () (or @t134 @t164 @t262 @t260 @t258 @t145)) % 0.37/0.74 (define @t264 () (forall @t152 @t263)) % 0.37/0.74 (define @t265 () (not @t264)) % 0.37/0.74 (define @t266 () (= @t119 @t154)) % 0.37/0.74 (define @t267 () (not @t266)) % 0.37/0.74 (define @t268 () (= tptp.norm @t112)) % 0.37/0.74 (define @t269 () (not @t268)) % 0.37/0.74 (define @t270 () (or @t134 @t164 @t262 @t269 @t267 @t145)) % 0.37/0.74 (define @t271 () (forall @t152 @t270)) % 0.37/0.74 (define @t272 () (not @t271)) % 0.37/0.74 (define @t273 () (= @t11 @t158)) % 0.37/0.74 (define @t274 () (= tptp.elec_2 @t159)) % 0.37/0.74 (define @t275 () (= tptp.elec_1 @t159)) % 0.37/0.74 (define @t276 () (and (not @t275) (not @t274))) % 0.37/0.74 (define @t277 () (or @t276 @t165 @t273)) % 0.37/0.74 (define @t278 () (forall @t94 @t277)) % 0.37/0.74 (define @t279 () (not @t278)) % 0.37/0.74 (define @t280 () (= @t11 @t110)) % 0.37/0.74 (define @t281 () (or @t280 @t262 @t165 @t164)) % 0.37/0.74 (define @t282 () (forall @t170 @t281)) % 0.37/0.74 (define @t283 () (not @t282)) % 0.37/0.74 (define @t284 () (forall @t170 (or @t235 @t172))) % 0.37/0.74 (define @t285 () (not @t284)) % 0.37/0.74 (define @t286 () (forall @t170 (or @t245 @t262))) % 0.37/0.74 (define @t287 () (not @t286)) % 0.37/0.74 (define @t288 () (forall @t170 (or (not @t179) @t178))) % 0.37/0.74 (define @t289 () (not @t288)) % 0.37/0.74 (define @t290 () (or @t289 @t287 @t285 @t283 @t279 @t272 @t265 @t256 @t252 @t243 @t229)) % 0.37/0.74 (define @t291 () (or @t289 @t287 @t285 @t283 @t279 @t272 @t265 @t256 @t252 @t243 @t228)) % 0.37/0.74 (define @t292 () (or @t289 @t287 @t285 @t283 @t279 @t272 @t265 @t256 @t252 @t243 @t204 @t203 @t202 @t227)) % 0.37/0.74 (define @t293 () (or @t203 @t202 @t227)) % 0.37/0.74 (define @t294 () (or @t289 @t287 @t285 @t283 @t279 @t272 @t265 @t256 @t252 @t243 @t204)) % 0.37/0.74 (define @t295 () (not @t202)) % 0.37/0.74 (define @t296 () (=> @t295 @t227)) % 0.37/0.74 (define @t297 () (=> @t103 @t296)) % 0.37/0.74 (define @t298 () (and @t288 @t286 @t284 @t282 @t278 @t271 @t264 @t255 @t251 @t242 @t105)) % 0.37/0.74 (define @t299 () (or @t224 @t223 @t222 @t221 @t220 @t219 @t217)) % 0.37/0.74 (define @t300 () (or @t91 @t165 @t299)) % 0.37/0.74 (define @t301 () (forall @t226 @t300)) % 0.37/0.74 (define @t302 () (@list @t215 @t214 @t213)) % 0.37/0.74 (define @t303 () (forall @t302 @t300)) % 0.37/0.74 (define @t304 () (forall @t302 @t299)) % 0.37/0.74 (define @t305 () (or @t91 @t165 @t304)) % 0.37/0.74 (define @t306 () (not @t65)) % 0.37/0.74 (define @t307 () (= tptp.elec_1 @t70)) % 0.37/0.74 (define @t308 () (not @t307)) % 0.37/0.74 (define @t309 () (= tptp.nbr_proc @t69)) % 0.37/0.74 (define @t310 () (not @t309)) % 0.37/0.74 (define @t311 () (not @t71)) % 0.37/0.74 (define @t312 () (not @t74)) % 0.37/0.74 (define @t313 () (or @t80 @t197 @t77 @t76)) % 0.37/0.74 (define @t314 () (forall @t83 @t313)) % 0.37/0.74 (define @t315 () (not @t314)) % 0.37/0.74 (define @t316 () (not @t87)) % 0.37/0.74 (define @t317 () (or @t316 @t315 @t312 @t311 @t310 @t308 @t306)) % 0.37/0.74 (define @t318 () (forall @t89 @t317)) % 0.37/0.74 (define @t319 () (or @t91 @t165 @t318)) % 0.37/0.74 (define @t320 () (or @t165 @t318)) % 0.37/0.74 (define @t321 () (or @t165 @t317)) % 0.37/0.74 (define @t322 () (or @t316 @t315 @t312 @t311 @t310 @t308 @t165 @t306)) % 0.37/0.74 (define @t323 () (or @t315 @t312 @t311 @t310 @t308 @t165 @t306)) % 0.37/0.74 (define @t324 () (or @t315 @t312 @t311 @t310 @t308)) % 0.37/0.74 (define @t325 () (and @t314 @t74 @t71 @t309 @t307)) % 0.37/0.74 (define @t326 () (=> @t325 @t67)) % 0.37/0.74 (define @t327 () (or @t240 @t236 @t235 @t233 @t232)) % 0.37/0.74 (define @t328 () (and @t239 @t118 @t234 @t114 @t231)) % 0.37/0.74 (define @t329 () (or @t120 @t237)) % 0.37/0.74 (define @t330 () (or @t249 @t165 @t248 @t247 @t149)) % 0.37/0.74 (define @t331 () (not @t249)) % 0.37/0.74 (define @t332 () (not @t331)) % 0.37/0.74 (define @t333 () (or @t332 @t165 @t248 @t247 @t149)) % 0.37/0.74 (define @t334 () (and @t331 @t66 @t135 @t246 @t134)) % 0.37/0.74 (define @t335 () (not @t334)) % 0.37/0.74 (define @t336 () (not @t149)) % 0.37/0.74 (define @t337 () (or @t336 @t164 @t262 @t260 @t258)) % 0.37/0.74 (define @t338 () (and @t149 @t148 @t261 @t259 @t257)) % 0.37/0.74 (define @t339 () (or @t336 @t164 @t262 @t269 @t267)) % 0.37/0.74 (define @t340 () (and @t149 @t148 @t261 @t268 @t266)) % 0.37/0.74 (define @t341 () (or @t275 @t274)) % 0.37/0.74 (define @t342 () (and @t341 @t66)) % 0.37/0.74 (define @t343 () (not @t280)) % 0.37/0.74 (define @t344 () (and @t343 @t261)) % 0.37/0.74 (define @t345 () (forall @t208 @t205)) % 0.37/0.74 (define @t346 () (tptp.host (@quantifiers_skolemize @t345 7))) % 0.37/0.74 (define @t347 () (@quantifiers_skolemize @t345 2)) % 0.37/0.74 (define @t348 () (tptp.host @t347)) % 0.37/0.74 (define @t349 () (= @t348 @t346)) % 0.37/0.74 (define @t350 () (@quantifiers_skolemize @t345 4)) % 0.37/0.74 (define @t351 () (tptp.host @t350)) % 0.37/0.74 (define @t352 () (@quantifiers_skolemize @t345 5)) % 0.37/0.74 (define @t353 () (tptp.elem (tptp.m_Down @t352) (tptp.queue @t351))) % 0.37/0.74 (define @t354 () (not @t353)) % 0.37/0.74 (define @t355 () (tptp.index tptp.status @t346)) % 0.37/0.74 (define @t356 () (= tptp.elec_1 @t355)) % 0.37/0.74 (define @t357 () (not @t356)) % 0.37/0.74 (define @t358 () (= tptp.nbr_proc @t346)) % 0.37/0.74 (define @t359 () (not @t358)) % 0.37/0.74 (define @t360 () (tptp.host @t352)) % 0.37/0.74 (define @t361 () (= @t346 @t360)) % 0.37/0.74 (define @t362 () (not @t361)) % 0.37/0.74 (define @t363 () (@quantifiers_skolemize @t345 0)) % 0.37/0.74 (define @t364 () (@quantifiers_skolemize @t345 6)) % 0.37/0.74 (define @t365 () (tptp.m_Down @t364)) % 0.37/0.74 (define @t366 () (tptp.elem @t365 @t363)) % 0.37/0.74 (define @t367 () (not @t366)) % 0.37/0.74 (define @t368 () (tptp.host @t364)) % 0.37/0.74 (define @t369 () (= @t75 @t368)) % 0.37/0.74 (define @t370 () (tptp.index tptp.down @t346)) % 0.37/0.74 (define @t371 () (forall @t83 (or (tptp.leq @t346 @t75) @t197 (tptp.setIn @t75 @t370) @t369))) % 0.37/0.74 (define @t372 () (not @t371)) % 0.37/0.74 (define @t373 () (not @t349)) % 0.37/0.74 (define @t374 () (tptp.setIn @t350 tptp.alive)) % 0.37/0.74 (define @t375 () (not @t374)) % 0.37/0.74 (define @t376 () (@quantifiers_skolemize @t345 3)) % 0.37/0.74 (define @t377 () (tptp.index tptp.status @t348)) % 0.37/0.74 (define @t378 () (@quantifiers_skolemize @t345 1)) % 0.37/0.74 (define @t379 () (tptp.m_Ack @t378 @t376)) % 0.37/0.74 (define @t380 () (tptp.cons @t379 @t363)) % 0.37/0.74 (define @t381 () (tptp.queue @t348)) % 0.37/0.74 (define @t382 () (= @t381 @t380)) % 0.37/0.74 (define @t383 () (not @t382)) % 0.37/0.74 (define @t384 () (or @t383 (not (tptp.setIn @t347 tptp.alive)) (and (= @t378 (tptp.index tptp.elid @t348)) (= tptp.elec_2 @t377) (= (tptp.host @t376) (tptp.index tptp.pendack @t348))) (= @t348 @t351) @t375 @t373 @t372 @t367 @t362 @t359 @t357 @t354)) % 0.37/0.74 (define @t385 () (@list true)) % 0.37/0.74 (define @t386 () (@list @t384)) % 0.37/0.74 (define @t387 () (= tptp.elec_1 @t377)) % 0.37/0.74 (define @t388 () (not @t387)) % 0.37/0.74 (define @t389 () (= @t348 @t360)) % 0.37/0.74 (define @t390 () (not @t389)) % 0.37/0.74 (define @t391 () (= tptp.nbr_proc @t348)) % 0.37/0.74 (define @t392 () (not @t391)) % 0.37/0.74 (define @t393 () (tptp.elem @t365 @t381)) % 0.37/0.74 (define @t394 () (not @t393)) % 0.37/0.74 (define @t395 () (tptp.index tptp.down @t348)) % 0.37/0.74 (define @t396 () (tptp.setIn @t75 @t395)) % 0.37/0.74 (define @t397 () (tptp.leq @t348 @t75)) % 0.37/0.74 (define @t398 () (or @t397 @t197 @t396 (= @t368 @t75))) % 0.37/0.74 (define @t399 () (forall @t83 @t398)) % 0.37/0.74 (define @t400 () (not @t399)) % 0.37/0.74 (define @t401 () (or @t400 @t394 @t392 @t390 @t388 @t375 @t354)) % 0.37/0.74 (define @t402 () (forall @t83 (or @t397 @t197 @t396 @t369))) % 0.37/0.74 (define @t403 () (not @t402)) % 0.37/0.74 (define @t404 () (or @t403 @t394 @t392 @t390 @t388 @t375 @t354)) % 0.37/0.74 (define @t405 () (@list false)) % 0.37/0.74 (define @t406 () (@quantifiers_skolemize @t402 0)) % 0.37/0.74 (define @t407 () (= @t368 @t406)) % 0.37/0.74 (define @t408 () (tptp.setIn @t406 @t395)) % 0.37/0.74 (define @t409 () (tptp.leq @t9 @t406)) % 0.37/0.74 (define @t410 () (not @t409)) % 0.37/0.74 (define @t411 () (tptp.leq @t348 @t406)) % 0.37/0.74 (define @t412 () (or @t411 @t410 @t408 @t407)) % 0.37/0.74 (define @t413 () (tptp.leq @t346 @t406)) % 0.37/0.74 (define @t414 () (not @t413)) % 0.37/0.74 (define @t415 () (not @t411)) % 0.37/0.74 (define @t416 () (and @t349 @t415)) % 0.37/0.74 (define @t417 () (tptp.setIn @t406 @t370)) % 0.37/0.74 (define @t418 () (not @t417)) % 0.37/0.74 (define @t419 () (not @t408)) % 0.37/0.74 (define @t420 () (and @t349 @t419)) % 0.37/0.74 (define @t421 () (= @t406 @t368)) % 0.37/0.74 (define @t422 () (or @t413 @t410 @t417 @t421)) % 0.37/0.74 (define @t423 () (or @t413 @t410 @t417 @t407)) % 0.37/0.74 (define @t424 () (not @t412)) % 0.37/0.74 (define @t425 () (or @t411 @t410 @t408 @t421)) % 0.37/0.74 (define @t426 () (not @t425)) % 0.37/0.74 (define @t427 () (or (= @t365 @t379) @t366)) % 0.37/0.74 (define @t428 () (tptp.elem @t365 @t380)) % 0.37/0.74 (define @t429 () (= @t428 @t427)) % 0.37/0.74 (define @t430 () (or (= @t379 @t365) @t366)) % 0.37/0.74 (define @t431 () (= @t428 @t430)) % 0.37/0.74 (define @t432 () (and @t390 @t361 @t349)) % 0.37/0.74 (assume @p1 (forall @t4 (=> (tptp.elem (tptp.m_Ack @t2 @t1) (tptp.queue @t3)) (and (tptp.setIn @t2 tptp.pids) (tptp.setIn @t1 tptp.pids))))) % 0.37/0.74 (assume @p2 (forall (@list @t7 @t5) (=> (= (tptp.s @t8) @t6) (not (= @t8 @t6))))) % 0.37/0.74 (assume @p3 (forall @t10 (tptp.leq @t9 @t8))) % 0.37/0.74 (assume @p4 (tptp.leq @t9 tptp.nbr_proc)) % 0.37/0.74 (assume @p5 (forall @t10 (tptp.leq @t8 tptp.nbr_proc))) % 0.37/0.74 (assume @p6 (not (= tptp.elec_1 tptp.elec_2))) % 0.37/0.74 (assume @p7 (not (= tptp.elec_1 tptp.wait))) % 0.37/0.74 (assume @p8 (not (= tptp.elec_1 tptp.norm))) % 0.37/0.74 (assume @p9 (not (= tptp.elec_2 tptp.wait))) % 0.37/0.74 (assume @p10 (not (= tptp.elec_2 tptp.norm))) % 0.37/0.74 (assume @p11 (not (= tptp.norm tptp.wait))) % 0.37/0.74 (assume @p12 (forall @t15 (not (= @t14 (tptp.m_Halt @t11))))) % 0.37/0.74 (assume @p13 (forall @t15 (not (= @t14 @t16)))) % 0.37/0.74 (assume @p14 (forall @t15 (not (= @t14 @t17)))) % 0.37/0.75 (assume @p15 (forall @t15 (not (= @t14 (tptp.m_Ldr @t11))))) % 0.37/0.75 (assume @p16 (forall @t15 (not (= @t14 (tptp.m_NormQ @t11))))) % 0.37/0.75 (assume @p17 (forall @t20 (not (= @t19 @t18)))) % 0.37/0.75 (assume @p18 (forall @t20 (not (= @t21 @t18)))) % 0.37/0.75 (assume @p19 (forall @t20 (not (= @t21 @t22)))) % 0.37/0.75 (assume @p20 (forall @t20 (not (= @t21 @t23)))) % 0.37/0.75 (assume @p21 (forall @t20 (not (= @t21 @t24)))) % 0.37/0.75 (assume @p22 (forall @t20 (not (= @t25 @t18)))) % 0.37/0.75 (assume @p23 (forall @t20 (not (= @t26 @t18)))) % 0.37/0.75 (assume @p24 (forall @t20 (not (= @t26 @t24)))) % 0.37/0.75 (assume @p25 (forall @t20 (not (= @t26 @t23)))) % 0.37/0.75 (assume @p26 (forall @t20 (not (= @t25 @t23)))) % 0.37/0.75 (assume @p27 (forall @t20 (= @t29 (not (= @t27 @t18))))) % 0.37/0.75 (assume @p28 (forall @t20 (= @t29 (not (= @t25 @t24))))) % 0.37/0.75 (assume @p29 (forall @t20 (= @t29 (not (= @t19 @t23))))) % 0.37/0.75 (assume @p30 (forall @t20 (= @t29 (not (= @t26 @t22))))) % 0.37/0.75 (assume @p31 (forall @t20 (= @t29 (not (= @t21 @t30))))) % 0.37/0.75 (assume @p32 (forall @t36 (=> (not (= @t34 @t32)) @t35))) % 0.37/0.75 (assume @p33 (forall @t36 (=> (not (= @t33 @t31)) @t35))) % 0.37/0.75 (assume @p34 (forall @t4 (=> (not (= @t3 (tptp.host @t1))) (not (= @t2 @t1))))) % 0.37/0.75 (assume @p35 (not (tptp.setIn tptp.nil tptp.alive))) % 0.37/0.75 (assume @p36 (forall @t38 (= (tptp.head @t37) @t13))) % 0.37/0.75 (assume @p37 (forall @t38 (= (tptp.tail @t37) @t5))) % 0.37/0.75 (assume @p38 (forall @t40 (= (tptp.last @t39) @t12))) % 0.37/0.75 (assume @p39 (forall @t40 (= (tptp.init @t39) @t5))) % 0.37/0.75 (assume @p40 (forall @t42 (or @t41 (= @t5 (tptp.cons (tptp.head @t5) (tptp.tail @t5)))))) % 0.37/0.75 (assume @p41 (forall @t42 (or @t41 (= @t5 (tptp.snoc (tptp.init @t5) (tptp.last @t5)))))) % 0.37/0.75 (assume @p42 (forall @t38 (not (= tptp.q_nil @t37)))) % 0.37/0.75 (assume @p43 (forall @t40 (not (= tptp.q_nil @t39)))) % 0.37/0.75 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nary_cong :premises (@p469 @p665) :args ((or @t384 (not @t375)))) % 0.37/0.75 (step @p667 :rule cnf_or_neg :args (@t384 4)) % 0.37/0.75 (step @p668 :rule eq_resolve :premises (@p667 @p666)) % 0.37/0.75 (step @p669 :rule reordering :premises (@p668) :args ((or @t374 @t384))) % 0.37/0.75 (step @p670 :rule chain_m_resolution :premises (@p669 @p467) :args (@t374 @t385 @t386)) % 0.37/0.75 (step @p671 :rule cnf_or_pos :args (@t404)) % 0.37/0.75 (step @p672 :rule reordering :premises (@p671) :args ((or @t375 @t354 @t388 @t394 @t392 @t403 @t390 (not @t404)))) % 0.37/0.75 (step @p673 :rule chain_m_resolution :premises (@p672 @p670 @p664 @p658 @p649 @p612 @p605 @p505) :args (@t390 (@list false false false false false false false) (@list @t374 @t353 @t387 @t393 @t391 @t402 @t404))) % 0.37/0.75 (step @p674 :rule bool-double-not-elim :args (@t389)) % 0.37/0.75 (step @p675 :rule refl :args (@t362)) % 0.37/0.75 (step @p676 :rule nary_cong :premises (@p517 @p675 @p674) :args ((or @t373 @t362 (not @t390)))) % 0.37/0.75 (assume-push @p728 @t390) % 0.37/0.75 (assume-push @p729 @t361) % 0.37/0.75 (assume-push @p730 @t349) % 0.37/0.75 (step @p680 :rule evaluate :args ((= true false))) % 0.37/0.75 (step @p681 :rule false_intro :premises (@p728)) % 0.37/0.75 (step @p682 :rule trans :premises (@p474 @p480)) % 0.37/0.75 (step @p683 :rule true_intro :premises (@p682)) % 0.37/0.75 (step @p684 :rule symm :premises (@p683)) % 0.37/0.75 (step @p685 :rule trans :premises (@p684 @p681)) % 0.37/0.75 (step @p686 false :rule eq_resolve :premises (@p685 @p680)) % 0.37/0.75 (step-pop @p731 :rule scope :premises (@p686)) % 0.37/0.75 (step-pop @p732 :rule scope :premises (@p731)) % 0.37/0.75 (step-pop @p733 :rule scope :premises (@p732)) % 0.37/0.75 (step @p687 :rule process_scope :premises (@p733) :args (false)) % 0.37/0.75 (assume-push @p734 @t349) % 0.37/0.75 (assume-push @p735 @t361) % 0.37/0.75 (assume-push @p736 @t390) % 0.37/0.75 (step @p694 :rule and_intro :premises (@p736 @p480 @p474)) % 0.37/0.75 (step-pop @p737 :rule scope :premises (@p694)) % 0.37/0.75 (step-pop @p738 :rule scope :premises (@p737)) % 0.37/0.75 (step-pop @p739 :rule scope :premises (@p738)) % 0.37/0.75 (step @p695 :rule process_scope :premises (@p739) :args (@t432)) % 0.37/0.75 (step @p699 :rule implies_elim :premises (@p695)) % 0.37/0.75 (step @p700 :rule resolution :premises (@p699 @p687) :args (true @t432)) % 0.37/0.75 (step @p701 :rule not_and :premises (@p700)) % 0.37/0.75 (step @p702 :rule eq_resolve :premises (@p701 @p676)) % 0.37/0.75 (step @p703 false :rule chain_m_resolution :premises (@p702 @p673 @p480 @p474) :args (false (@list true false false) (@list @t389 @t361 @t349))) % 0.37/0.75 ) % 0.37/0.75 % SZS output end Proof % 0.37/0.75 % cvc5 exiting %------------------------------------------------------------------------------