%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV469+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 0.52s 0.72s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWV469+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n028.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 20:19:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.72 % SZS status Theorem % 0.52/0.72 % SZS output start Proof % 0.52/0.72 ( % 0.52/0.72 (declare-sort $$unsorted 0) % 0.52/0.72 (declare-const tptp.pendack $$unsorted) % 0.52/0.72 (declare-const tptp.elid $$unsorted) % 0.52/0.72 (declare-const tptp.ldr $$unsorted) % 0.52/0.72 (declare-const tptp.index (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.ordered (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.pidMsg (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.elec_1 $$unsorted) % 0.52/0.72 (declare-const tptp.zero $$unsorted) % 0.52/0.72 (declare-const tptp.elem (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.m_Ack (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.setEmpty $$unsorted) % 0.52/0.72 (declare-const tptp.elec_2 $$unsorted) % 0.52/0.72 (declare-const tptp.queue (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.nbr_proc $$unsorted) % 0.52/0.72 (declare-const tptp.status $$unsorted) % 0.52/0.72 (declare-const tptp.setIn (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.wait $$unsorted) % 0.52/0.72 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.down $$unsorted) % 0.52/0.72 (declare-const tptp.norm $$unsorted) % 0.52/0.72 (declare-const tptp.m_Ldr (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.host (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.pids $$unsorted) % 0.52/0.72 (declare-const tptp.pidElem (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.m_Down (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.last (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.m_NotNorm (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.m_Halt (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.alive $$unsorted) % 0.52/0.72 (declare-const tptp.nil $$unsorted) % 0.52/0.72 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.snoc (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.init (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.m_NormQ (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.q_nil $$unsorted) % 0.52/0.72 (define @t1 () (@var "Pid2" $$unsorted)) % 0.52/0.72 (define @t2 () (@var "Pid" $$unsorted)) % 0.52/0.72 (define @t3 () (tptp.host @t2)) % 0.52/0.72 (define @t4 () (@list @t2 @t1)) % 0.52/0.72 (define @t5 () (@var "Q" $$unsorted)) % 0.52/0.72 (define @t6 () (tptp.host @t5)) % 0.52/0.72 (define @t7 () (@var "P" $$unsorted)) % 0.52/0.72 (define @t8 () (tptp.host @t7)) % 0.52/0.72 (define @t9 () (tptp.s tptp.zero)) % 0.52/0.72 (define @t10 () (@list @t7)) % 0.52/0.72 (define @t11 () (@var "Z" $$unsorted)) % 0.52/0.72 (define @t12 () (@var "Y" $$unsorted)) % 0.52/0.72 (define @t13 () (@var "X" $$unsorted)) % 0.52/0.72 (define @t14 () (tptp.m_Ack @t13 @t12)) % 0.52/0.72 (define @t15 () (@list @t13 @t12 @t11)) % 0.52/0.72 (define @t16 () (tptp.m_Halt @t12)) % 0.52/0.72 (define @t17 () (tptp.m_NotNorm @t13)) % 0.52/0.72 (define @t18 () (@list @t13 @t12)) % 0.52/0.72 (define @t19 () (tptp.m_Down @t13)) % 0.52/0.72 (define @t20 () (tptp.m_Ldr @t12)) % 0.52/0.72 (define @t21 () (tptp.m_NotNorm @t12)) % 0.52/0.72 (define @t22 () (tptp.m_NormQ @t12)) % 0.52/0.72 (define @t23 () (tptp.m_NormQ @t13)) % 0.52/0.72 (define @t24 () (tptp.m_Ldr @t13)) % 0.52/0.72 (define @t25 () (tptp.m_Halt @t13)) % 0.52/0.72 (define @t26 () (= @t13 @t12)) % 0.52/0.72 (define @t27 () (not @t26)) % 0.52/0.72 (define @t28 () (tptp.m_Down @t12)) % 0.52/0.72 (define @t29 () (@var "Y2" $$unsorted)) % 0.52/0.72 (define @t30 () (@var "X2" $$unsorted)) % 0.52/0.72 (define @t31 () (@var "Y1" $$unsorted)) % 0.52/0.72 (define @t32 () (@var "X1" $$unsorted)) % 0.52/0.72 (define @t33 () (not (= (tptp.m_Ack @t32 @t31) (tptp.m_Ack @t30 @t29)))) % 0.52/0.72 (define @t34 () (@list @t32 @t30 @t31 @t29)) % 0.52/0.72 (define @t35 () (tptp.cons @t13 @t5)) % 0.52/0.72 (define @t36 () (@list @t13 @t5)) % 0.52/0.72 (define @t37 () (tptp.snoc @t5 @t12)) % 0.52/0.72 (define @t38 () (@list @t12 @t5)) % 0.52/0.72 (define @t39 () (= @t5 tptp.q_nil)) % 0.52/0.72 (define @t40 () (@list @t5)) % 0.52/0.72 (define @t41 () (tptp.snoc tptp.q_nil @t13)) % 0.52/0.72 (define @t42 () (tptp.cons @t13 tptp.q_nil)) % 0.52/0.72 (define @t43 () (@list @t13)) % 0.52/0.72 (define @t44 () (@list @t13 @t12 @t5)) % 0.52/0.72 (define @t45 () (or @t26 (tptp.elem @t13 @t5))) % 0.52/0.72 (define @t46 () (forall @t44 (= (tptp.elem @t13 (tptp.cons @t12 @t5)) @t45))) % 0.52/0.72 (define @t47 () (@list @t12)) % 0.52/0.72 (define @t48 () (tptp.pidElem @t13)) % 0.52/0.72 (define @t49 () (tptp.pidMsg @t12)) % 0.52/0.72 (define @t50 () (tptp.pidMsg @t13)) % 0.52/0.72 (define @t51 () (and (tptp.elem @t12 @t5) @t48 (tptp.pidElem @t12) (= (tptp.host @t49) (tptp.host @t50)))) % 0.52/0.72 (define @t52 () (tptp.ordered @t5)) % 0.52/0.72 (define @t53 () (@list @t5 @t13 @t12)) % 0.52/0.72 (define @t54 () (tptp.leq @t13 @t12)) % 0.52/0.72 (define @t55 () (tptp.host @t12)) % 0.52/0.72 (define @t56 () (tptp.host @t13)) % 0.52/0.72 (define @t57 () (tptp.s @t13)) % 0.52/0.72 (define @t58 () (tptp.leq @t12 @t13)) % 0.52/0.72 (define @t59 () (and @t54 @t58)) % 0.52/0.72 (define @t60 () (forall @t18 (= @t59 @t26))) % 0.52/0.72 (define @t61 () (tptp.s @t12)) % 0.52/0.72 (define @t62 () (tptp.host @t11)) % 0.52/0.72 (define @t63 () (tptp.index tptp.status @t62)) % 0.52/0.72 (define @t64 () (tptp.index tptp.ldr @t62)) % 0.52/0.72 (define @t65 () (tptp.setIn @t11 tptp.alive)) % 0.52/0.72 (define @t66 () (and @t65 (= @t64 @t62) (= @t63 tptp.norm))) % 0.52/0.72 (define @t67 () (not @t66)) % 0.52/0.72 (define @t68 () (@var "W0" $$unsorted)) % 0.52/0.72 (define @t69 () (tptp.setIn @t68 tptp.alive)) % 0.52/0.72 (define @t70 () (tptp.s @t56)) % 0.52/0.72 (define @t71 () (tptp.leq @t70 @t62)) % 0.52/0.72 (define @t72 () (not @t71)) % 0.52/0.72 (define @t73 () (and @t72 @t69)) % 0.52/0.72 (define @t74 () (=> @t73 @t67)) % 0.52/0.72 (define @t75 () (= @t56 (tptp.host @t68))) % 0.52/0.72 (define @t76 () (=> @t75 @t74)) % 0.52/0.72 (define @t77 () (@list @t68)) % 0.52/0.72 (define @t78 () (forall @t77 @t76)) % 0.52/0.72 (define @t79 () (= @t56 @t62)) % 0.52/0.72 (define @t80 () (not @t79)) % 0.52/0.72 (define @t81 () (=> @t80 @t78)) % 0.52/0.72 (define @t82 () (@list @t11)) % 0.52/0.72 (define @t83 () (forall @t82 @t81)) % 0.52/0.72 (define @t84 () (tptp.leq tptp.nbr_proc @t56)) % 0.52/0.72 (define @t85 () (not @t84)) % 0.52/0.72 (define @t86 () (=> @t85 @t83)) % 0.52/0.72 (define @t87 () (tptp.index tptp.status @t56)) % 0.52/0.72 (define @t88 () (= @t11 @t55)) % 0.52/0.72 (define @t89 () (tptp.setIn @t11 (tptp.index tptp.down @t56))) % 0.52/0.72 (define @t90 () (or @t89 @t88)) % 0.52/0.72 (define @t91 () (tptp.leq @t9 @t11)) % 0.52/0.72 (define @t92 () (tptp.leq @t56 @t11)) % 0.52/0.72 (define @t93 () (not @t92)) % 0.52/0.72 (define @t94 () (and @t93 @t91)) % 0.52/0.72 (define @t95 () (forall @t82 (=> @t94 @t90))) % 0.52/0.72 (define @t96 () (and @t95 (= @t87 tptp.elec_1))) % 0.52/0.72 (define @t97 () (=> @t96 @t86)) % 0.52/0.72 (define @t98 () (= @t55 (tptp.host (tptp.index tptp.elid @t56)))) % 0.52/0.72 (define @t99 () (and (= @t87 tptp.wait) @t98)) % 0.52/0.72 (define @t100 () (tptp.index tptp.ldr @t56)) % 0.52/0.72 (define @t101 () (and (= @t100 @t55) (= @t87 tptp.norm))) % 0.52/0.72 (define @t102 () (or @t101 @t99)) % 0.52/0.72 (define @t103 () (not @t102)) % 0.52/0.72 (define @t104 () (=> @t103 @t97)) % 0.52/0.72 (define @t105 () (tptp.leq @t56 @t55)) % 0.52/0.72 (define @t106 () (not @t105)) % 0.52/0.72 (define @t107 () (=> @t106 @t104)) % 0.52/0.72 (define @t108 () (tptp.setIn @t13 tptp.alive)) % 0.52/0.72 (define @t109 () (=> @t108 @t107)) % 0.52/0.72 (define @t110 () (@var "V" $$unsorted)) % 0.52/0.72 (define @t111 () (= (tptp.queue @t56) (tptp.cons @t28 @t110))) % 0.52/0.72 (define @t112 () (@var "Pid0" $$unsorted)) % 0.52/0.72 (define @t113 () (tptp.host @t112)) % 0.52/0.72 (define @t114 () (tptp.index tptp.status @t113)) % 0.52/0.72 (define @t115 () (tptp.queue @t113)) % 0.52/0.72 (define @t116 () (@var "Pid20" $$unsorted)) % 0.52/0.72 (define @t117 () (tptp.m_Down @t116)) % 0.52/0.72 (define @t118 () (tptp.elem @t117 @t115)) % 0.52/0.72 (define @t119 () (tptp.leq @t113 @t62)) % 0.52/0.72 (define @t120 () (not @t119)) % 0.52/0.72 (define @t121 () (tptp.host @t116)) % 0.52/0.72 (define @t122 () (@var "V0" $$unsorted)) % 0.52/0.72 (define @t123 () (tptp.setIn @t122 (tptp.index tptp.down @t113))) % 0.52/0.72 (define @t124 () (or @t123 (= @t122 @t121))) % 0.52/0.72 (define @t125 () (tptp.leq @t9 @t122)) % 0.52/0.72 (define @t126 () (tptp.leq @t113 @t122)) % 0.52/0.72 (define @t127 () (not @t126)) % 0.52/0.72 (define @t128 () (and @t127 @t125)) % 0.52/0.72 (define @t129 () (=> @t128 @t124)) % 0.52/0.72 (define @t130 () (@list @t122)) % 0.52/0.72 (define @t131 () (forall @t130 @t129)) % 0.52/0.72 (define @t132 () (and @t131 @t120 @t118 (= @t114 tptp.elec_1))) % 0.52/0.72 (define @t133 () (=> @t132 @t67)) % 0.52/0.72 (define @t134 () (@list @t11 @t116 @t112)) % 0.52/0.72 (define @t135 () (forall @t134 @t133)) % 0.52/0.72 (define @t136 () (= @t114 tptp.elec_2)) % 0.52/0.72 (define @t137 () (= @t121 @t62)) % 0.52/0.72 (define @t138 () (tptp.setIn @t112 tptp.alive)) % 0.52/0.72 (define @t139 () (and @t138 @t118 @t137 @t136)) % 0.52/0.72 (define @t140 () (=> @t139 @t67)) % 0.52/0.72 (define @t141 () (forall @t134 @t140)) % 0.52/0.72 (define @t142 () (tptp.index tptp.pendack @t113)) % 0.52/0.72 (define @t143 () (not (tptp.leq (tptp.index tptp.pendack @t62) @t142))) % 0.52/0.72 (define @t144 () (= @t63 tptp.elec_2)) % 0.52/0.72 (define @t145 () (tptp.leq @t62 @t113)) % 0.52/0.72 (define @t146 () (not @t145)) % 0.52/0.72 (define @t147 () (and @t146 @t65 @t138 @t144 @t136)) % 0.52/0.72 (define @t148 () (=> @t147 @t143)) % 0.52/0.72 (define @t149 () (@list @t11 @t112)) % 0.52/0.72 (define @t150 () (forall @t149 @t148)) % 0.52/0.72 (define @t151 () (tptp.leq @t142 @t62)) % 0.52/0.72 (define @t152 () (not @t151)) % 0.52/0.72 (define @t153 () (and @t152 @t138 @t136)) % 0.52/0.72 (define @t154 () (=> @t153 @t67)) % 0.52/0.72 (define @t155 () (forall @t149 @t154)) % 0.52/0.72 (define @t156 () (tptp.queue @t62)) % 0.52/0.72 (define @t157 () (tptp.elem @t117 @t156)) % 0.52/0.72 (define @t158 () (not (and @t65 @t157))) % 0.52/0.72 (define @t159 () (tptp.index tptp.ldr @t113)) % 0.52/0.72 (define @t160 () (= @t159 @t113)) % 0.52/0.72 (define @t161 () (= @t114 tptp.norm)) % 0.52/0.72 (define @t162 () (and @t138 (= @t121 @t113) @t161 @t160)) % 0.52/0.72 (define @t163 () (=> @t162 @t158)) % 0.52/0.72 (define @t164 () (forall @t134 @t163)) % 0.52/0.72 (define @t165 () (= @t113 @t121)) % 0.52/0.72 (define @t166 () (and @t65 @t138 @t157 @t165 @t136)) % 0.52/0.72 (define @t167 () (=> @t166 @t151)) % 0.52/0.72 (define @t168 () (forall @t134 @t167)) % 0.52/0.72 (define @t169 () (not (tptp.elem (tptp.m_Ack @t11 @t116) @t156))) % 0.52/0.72 (define @t170 () (and @t65 @t138 @t165 @t144 @t136)) % 0.52/0.72 (define @t171 () (=> @t170 @t169)) % 0.52/0.72 (define @t172 () (forall @t134 @t171)) % 0.52/0.72 (define @t173 () (tptp.elem (tptp.m_Ack @t112 @t116) @t115)) % 0.52/0.72 (define @t174 () (and @t138 @t173 @t137)) % 0.52/0.72 (define @t175 () (=> @t174 @t67)) % 0.52/0.72 (define @t176 () (forall @t134 @t175)) % 0.52/0.72 (define @t177 () (=> @t147 @t151)) % 0.52/0.72 (define @t178 () (forall @t149 @t177)) % 0.52/0.72 (define @t179 () (not @t157)) % 0.52/0.72 (define @t180 () (and @t120 @t65 @t138 @t165 @t136)) % 0.52/0.72 (define @t181 () (=> @t180 @t179)) % 0.52/0.72 (define @t182 () (forall @t134 @t181)) % 0.52/0.72 (define @t183 () (tptp.setIn @t113 (tptp.index tptp.down @t62))) % 0.52/0.72 (define @t184 () (not (and @t65 @t183))) % 0.52/0.72 (define @t185 () (and @t138 @t161 @t160)) % 0.52/0.72 (define @t186 () (=> @t185 @t184)) % 0.52/0.72 (define @t187 () (forall @t149 @t186)) % 0.52/0.72 (define @t188 () (and @t65 @t138 @t183 @t136)) % 0.52/0.72 (define @t189 () (=> @t188 @t151)) % 0.52/0.72 (define @t190 () (forall @t149 @t189)) % 0.52/0.72 (define @t191 () (tptp.index tptp.elid @t62)) % 0.52/0.72 (define @t192 () (or (= @t63 tptp.elec_1) @t144)) % 0.52/0.72 (define @t193 () (and @t192 @t65)) % 0.52/0.72 (define @t194 () (=> @t193 (= @t191 @t11))) % 0.52/0.72 (define @t195 () (forall @t82 @t194)) % 0.52/0.72 (define @t196 () (not (tptp.elem (tptp.m_Ack @t11 @t112) @t156))) % 0.52/0.72 (define @t197 () (and @t138 @t136)) % 0.52/0.72 (define @t198 () (=> @t197 @t196)) % 0.52/0.72 (define @t199 () (forall @t149 @t198)) % 0.52/0.72 (define @t200 () (not @t138)) % 0.52/0.72 (define @t201 () (not @t65)) % 0.52/0.72 (define @t202 () (or @t201 @t200)) % 0.52/0.72 (define @t203 () (not (= @t112 @t11))) % 0.52/0.72 (define @t204 () (and @t203 (= @t113 @t62))) % 0.52/0.72 (define @t205 () (=> @t204 @t202)) % 0.52/0.72 (define @t206 () (forall @t149 @t205)) % 0.52/0.72 (define @t207 () (tptp.elem (tptp.m_Ldr @t112) @t156)) % 0.52/0.72 (define @t208 () (forall @t149 (=> @t207 @t146))) % 0.52/0.72 (define @t209 () (and @t208 @t206 @t199 @t195 @t190 @t187 @t182 @t178 @t176 @t172 @t168 @t164 @t155 @t150 @t141 @t135 @t111)) % 0.52/0.72 (define @t210 () (=> @t209 @t109)) % 0.52/0.72 (define @t211 () (@list @t110 (@var "W" $$unsorted) @t13 @t12)) % 0.52/0.72 (define @t212 () (forall @t211 @t210)) % 0.52/0.72 (define @t213 () (not @t212)) % 0.52/0.72 (define @t214 () (@var "BOUND_VARIABLE_8374" $$unsorted)) % 0.52/0.72 (define @t215 () (tptp.host @t214)) % 0.52/0.72 (define @t216 () (not (= tptp.norm (tptp.index tptp.status @t215)))) % 0.52/0.72 (define @t217 () (not (= @t215 (tptp.index tptp.ldr @t215)))) % 0.52/0.72 (define @t218 () (not (tptp.setIn @t214 tptp.alive))) % 0.52/0.72 (define @t219 () (tptp.leq @t70 @t215)) % 0.52/0.72 (define @t220 () (= @t56 @t215)) % 0.52/0.72 (define @t221 () (@var "BOUND_VARIABLE_8366" $$unsorted)) % 0.52/0.72 (define @t222 () (not (tptp.setIn @t221 tptp.alive))) % 0.52/0.72 (define @t223 () (not (= @t56 (tptp.host @t221)))) % 0.52/0.72 (define @t224 () (= tptp.elec_1 @t87)) % 0.52/0.72 (define @t225 () (not @t224)) % 0.52/0.72 (define @t226 () (not @t91)) % 0.52/0.72 (define @t227 () (or @t92 @t226 @t89 @t88)) % 0.52/0.72 (define @t228 () (forall @t82 @t227)) % 0.52/0.72 (define @t229 () (not @t228)) % 0.52/0.72 (define @t230 () (and (= tptp.wait @t87) @t98)) % 0.52/0.72 (define @t231 () (and (= @t55 @t100) (= tptp.norm @t87))) % 0.52/0.72 (define @t232 () (not @t108)) % 0.52/0.72 (define @t233 () (not @t111)) % 0.52/0.72 (define @t234 () (or @t233 @t232 @t105 @t231 @t230 @t229 @t225 @t84 @t223 @t222 @t220 @t219 @t218 @t217 @t216)) % 0.52/0.72 (define @t235 () (or @t220 @t219 @t218 @t217 @t216)) % 0.52/0.72 (define @t236 () (or @t223 @t222)) % 0.52/0.72 (define @t237 () (or @t233 @t232 @t105 @t231 @t230 @t229 @t225 @t84 @t236 @t235)) % 0.52/0.72 (define @t238 () (@list @t110 @t13 @t12 @t221 @t214)) % 0.52/0.72 (define @t239 () (forall @t238 @t237)) % 0.52/0.72 (define @t240 () (forall (@list @t221 @t214) @t237)) % 0.52/0.72 (define @t241 () (@list @t110 @t13 @t12)) % 0.52/0.72 (define @t242 () (forall (@list @t214) @t235)) % 0.52/0.72 (define @t243 () (forall (@list @t221) @t236)) % 0.52/0.72 (define @t244 () (or @t233 @t232 @t105 @t231 @t230 @t229 @t225 @t84 @t243 @t242)) % 0.52/0.72 (define @t245 () (= tptp.norm @t63)) % 0.52/0.72 (define @t246 () (not @t245)) % 0.52/0.72 (define @t247 () (= @t62 @t64)) % 0.52/0.72 (define @t248 () (not @t247)) % 0.52/0.72 (define @t249 () (or @t79 @t71 @t201 @t248 @t246)) % 0.52/0.72 (define @t250 () (forall @t82 @t249)) % 0.52/0.72 (define @t251 () (not @t69)) % 0.52/0.72 (define @t252 () (not @t75)) % 0.52/0.72 (define @t253 () (or @t252 @t251)) % 0.52/0.72 (define @t254 () (forall @t77 @t253)) % 0.52/0.72 (define @t255 () (or @t233 @t232 @t105 @t231 @t230 @t229 @t225 @t84 @t254 @t250)) % 0.52/0.72 (define @t256 () (forall @t241 @t255)) % 0.52/0.72 (define @t257 () (= tptp.elec_1 @t114)) % 0.52/0.72 (define @t258 () (not @t257)) % 0.52/0.72 (define @t259 () (not @t118)) % 0.52/0.72 (define @t260 () (= @t121 @t122)) % 0.52/0.72 (define @t261 () (not @t125)) % 0.52/0.72 (define @t262 () (or @t126 @t261 @t123 @t260)) % 0.52/0.72 (define @t263 () (forall @t130 @t262)) % 0.52/0.72 (define @t264 () (not @t263)) % 0.52/0.72 (define @t265 () (or @t264 @t119 @t259 @t258 @t201 @t248 @t246)) % 0.52/0.72 (define @t266 () (forall @t134 @t265)) % 0.52/0.72 (define @t267 () (not @t266)) % 0.52/0.72 (define @t268 () (= tptp.elec_2 @t114)) % 0.52/0.72 (define @t269 () (not @t268)) % 0.52/0.72 (define @t270 () (= @t62 @t121)) % 0.52/0.72 (define @t271 () (not @t270)) % 0.52/0.72 (define @t272 () (or @t200 @t259 @t271 @t269 @t201 @t248 @t246)) % 0.52/0.72 (define @t273 () (forall @t134 @t272)) % 0.52/0.72 (define @t274 () (not @t273)) % 0.52/0.72 (define @t275 () (= tptp.elec_2 @t63)) % 0.52/0.72 (define @t276 () (not @t275)) % 0.52/0.72 (define @t277 () (or @t145 @t201 @t200 @t276 @t269 @t143)) % 0.52/0.72 (define @t278 () (forall @t149 @t277)) % 0.52/0.72 (define @t279 () (not @t278)) % 0.52/0.72 (define @t280 () (or @t151 @t200 @t269 @t201 @t248 @t246)) % 0.52/0.72 (define @t281 () (forall @t149 @t280)) % 0.52/0.72 (define @t282 () (not @t281)) % 0.52/0.72 (define @t283 () (= @t113 @t159)) % 0.52/0.72 (define @t284 () (not @t283)) % 0.52/0.72 (define @t285 () (= tptp.norm @t114)) % 0.52/0.72 (define @t286 () (not @t285)) % 0.52/0.72 (define @t287 () (not @t165)) % 0.52/0.72 (define @t288 () (or @t200 @t287 @t286 @t284 @t201 @t179)) % 0.52/0.72 (define @t289 () (forall @t134 @t288)) % 0.52/0.72 (define @t290 () (not @t289)) % 0.52/0.72 (define @t291 () (or @t201 @t200 @t179 @t287 @t269 @t151)) % 0.52/0.72 (define @t292 () (forall @t134 @t291)) % 0.52/0.72 (define @t293 () (not @t292)) % 0.52/0.72 (define @t294 () (or @t201 @t200 @t287 @t276 @t269 @t169)) % 0.52/0.72 (define @t295 () (forall @t134 @t294)) % 0.52/0.72 (define @t296 () (not @t295)) % 0.52/0.72 (define @t297 () (not @t173)) % 0.52/0.72 (define @t298 () (or @t200 @t297 @t271 @t201 @t248 @t246)) % 0.52/0.72 (define @t299 () (forall @t134 @t298)) % 0.52/0.72 (define @t300 () (not @t299)) % 0.52/0.72 (define @t301 () (or @t145 @t201 @t200 @t276 @t269 @t151)) % 0.52/0.72 (define @t302 () (forall @t149 @t301)) % 0.52/0.72 (define @t303 () (not @t302)) % 0.52/0.72 (define @t304 () (or @t119 @t201 @t200 @t287 @t269 @t179)) % 0.52/0.72 (define @t305 () (forall @t134 @t304)) % 0.52/0.72 (define @t306 () (not @t305)) % 0.52/0.72 (define @t307 () (not @t183)) % 0.52/0.72 (define @t308 () (or @t200 @t286 @t284 @t201 @t307)) % 0.52/0.72 (define @t309 () (forall @t149 @t308)) % 0.52/0.72 (define @t310 () (not @t309)) % 0.52/0.72 (define @t311 () (or @t201 @t200 @t307 @t269 @t151)) % 0.52/0.72 (define @t312 () (forall @t149 @t311)) % 0.52/0.72 (define @t313 () (not @t312)) % 0.52/0.72 (define @t314 () (= @t11 @t191)) % 0.52/0.72 (define @t315 () (= tptp.elec_1 @t63)) % 0.52/0.72 (define @t316 () (and (not @t315) @t276)) % 0.52/0.72 (define @t317 () (or @t316 @t201 @t314)) % 0.52/0.72 (define @t318 () (forall @t82 @t317)) % 0.52/0.72 (define @t319 () (not @t318)) % 0.52/0.72 (define @t320 () (or @t200 @t269 @t196)) % 0.52/0.72 (define @t321 () (forall @t149 @t320)) % 0.52/0.72 (define @t322 () (not @t321)) % 0.52/0.72 (define @t323 () (= @t62 @t113)) % 0.52/0.72 (define @t324 () (not @t323)) % 0.52/0.72 (define @t325 () (= @t11 @t112)) % 0.52/0.72 (define @t326 () (or @t325 @t324 @t201 @t200)) % 0.52/0.72 (define @t327 () (forall @t149 @t326)) % 0.52/0.72 (define @t328 () (not @t327)) % 0.52/0.72 (define @t329 () (forall @t149 (or (not @t207) @t146))) % 0.52/0.72 (define @t330 () (not @t329)) % 0.52/0.72 (define @t331 () (or @t330 @t328 @t322 @t319 @t313 @t310 @t306 @t303 @t300 @t296 @t293 @t290 @t282 @t279 @t274 @t267 @t256)) % 0.52/0.72 (define @t332 () (or @t330 @t328 @t322 @t319 @t313 @t310 @t306 @t303 @t300 @t296 @t293 @t290 @t282 @t279 @t274 @t267 @t255)) % 0.52/0.72 (define @t333 () (or @t330 @t328 @t322 @t319 @t313 @t310 @t306 @t303 @t300 @t296 @t293 @t290 @t282 @t279 @t274 @t267 @t233 @t232 @t105 @t231 @t230 @t229 @t225 @t84 @t254 @t250)) % 0.52/0.72 (define @t334 () (forall @t241 @t333)) % 0.52/0.72 (define @t335 () (or @t232 @t105 @t231 @t230 @t229 @t225 @t84 @t254 @t250)) % 0.52/0.72 (define @t336 () (or @t330 @t328 @t322 @t319 @t313 @t310 @t306 @t303 @t300 @t296 @t293 @t290 @t282 @t279 @t274 @t267 @t233)) % 0.52/0.72 (define @t337 () (or @t105 @t231 @t230 @t229 @t225 @t84 @t254 @t250)) % 0.52/0.72 (define @t338 () (or @t231 @t230 @t229 @t225 @t84 @t254 @t250)) % 0.52/0.72 (define @t339 () (or @t229 @t225 @t84 @t254 @t250)) % 0.52/0.72 (define @t340 () (or @t231 @t230)) % 0.52/0.72 (define @t341 () (or @t84 @t254 @t250)) % 0.52/0.72 (define @t342 () (or @t254 @t250)) % 0.52/0.72 (define @t343 () (=> @t85 @t342)) % 0.52/0.72 (define @t344 () (and @t228 @t224)) % 0.52/0.72 (define @t345 () (=> @t344 @t343)) % 0.52/0.72 (define @t346 () (not @t340)) % 0.52/0.72 (define @t347 () (=> @t346 @t345)) % 0.52/0.72 (define @t348 () (=> @t106 @t347)) % 0.52/0.72 (define @t349 () (=> @t108 @t348)) % 0.52/0.72 (define @t350 () (and @t329 @t327 @t321 @t318 @t312 @t309 @t305 @t302 @t299 @t295 @t292 @t289 @t281 @t278 @t273 @t266 @t111)) % 0.52/0.72 (define @t351 () (or @t254 @t249)) % 0.52/0.72 (define @t352 () (or @t79 @t71 @t201 @t248 @t246 @t254)) % 0.52/0.72 (define @t353 () (or @t71 @t201 @t248 @t246 @t254)) % 0.52/0.72 (define @t354 () (or @t71 @t201 @t248 @t246 @t253)) % 0.52/0.72 (define @t355 () (or @t252 @t71 @t251 @t201 @t248 @t246)) % 0.52/0.72 (define @t356 () (or @t71 @t251 @t201 @t248 @t246)) % 0.52/0.72 (define @t357 () (or @t201 @t248 @t246)) % 0.52/0.72 (define @t358 () (not (and @t65 @t247 @t245))) % 0.52/0.72 (define @t359 () (=> @t73 @t358)) % 0.52/0.72 (define @t360 () (not @t120)) % 0.52/0.72 (define @t361 () (or @t264 @t360 @t259 @t258)) % 0.52/0.72 (define @t362 () (and @t263 @t120 @t118 @t257)) % 0.52/0.72 (define @t363 () (or @t123 @t260)) % 0.52/0.72 (define @t364 () (or @t200 @t259 @t271 @t269)) % 0.52/0.72 (define @t365 () (and @t138 @t118 @t270 @t268)) % 0.52/0.72 (define @t366 () (or @t145 @t201 @t200 @t276 @t269)) % 0.52/0.72 (define @t367 () (not @t146)) % 0.52/0.72 (define @t368 () (or @t367 @t201 @t200 @t276 @t269)) % 0.52/0.72 (define @t369 () (or @t276 @t269)) % 0.52/0.72 (define @t370 () (not (and @t275 @t268))) % 0.52/0.72 (define @t371 () (and @t146 @t65 @t138 @t275 @t268)) % 0.52/0.72 (define @t372 () (not @t371)) % 0.52/0.72 (define @t373 () (not @t152)) % 0.52/0.72 (define @t374 () (or @t373 @t200 @t269)) % 0.52/0.72 (define @t375 () (or @t200 @t269)) % 0.52/0.72 (define @t376 () (and @t138 @t268)) % 0.52/0.72 (define @t377 () (not @t376)) % 0.52/0.72 (define @t378 () (and @t152 @t138 @t268)) % 0.52/0.72 (define @t379 () (or @t200 @t287 @t286 @t284)) % 0.52/0.72 (define @t380 () (or @t286 @t284)) % 0.52/0.72 (define @t381 () (not (and @t285 @t283))) % 0.52/0.72 (define @t382 () (and @t138 @t165 @t285 @t283)) % 0.52/0.72 (define @t383 () (or @t201 @t200 @t179 @t287 @t269)) % 0.52/0.72 (define @t384 () (or @t287 @t269)) % 0.52/0.72 (define @t385 () (not (and @t165 @t268))) % 0.52/0.72 (define @t386 () (and @t65 @t138 @t157 @t165 @t268)) % 0.52/0.72 (define @t387 () (or @t201 @t200 @t287 @t276 @t269)) % 0.52/0.72 (define @t388 () (and @t65 @t138 @t165 @t275 @t268)) % 0.52/0.72 (define @t389 () (or @t200 @t297 @t271)) % 0.52/0.72 (define @t390 () (and @t138 @t173 @t270)) % 0.52/0.72 (define @t391 () (or @t360 @t201 @t200 @t287 @t269)) % 0.52/0.72 (define @t392 () (and @t120 @t65 @t138 @t165 @t268)) % 0.52/0.72 (define @t393 () (or @t200 @t286 @t284)) % 0.52/0.72 (define @t394 () (and @t138 @t285 @t283)) % 0.52/0.72 (define @t395 () (or @t201 @t200 @t307 @t269)) % 0.52/0.72 (define @t396 () (and @t65 @t138 @t183 @t268)) % 0.52/0.72 (define @t397 () (or @t315 @t275)) % 0.52/0.72 (define @t398 () (and @t397 @t65)) % 0.52/0.72 (define @t399 () (not @t325)) % 0.52/0.72 (define @t400 () (and @t399 @t323)) % 0.52/0.72 (define @t401 () (forall @t238 @t234)) % 0.52/0.72 (define @t402 () (@quantifiers_skolemize @t401 2)) % 0.52/0.72 (define @t403 () (tptp.host @t402)) % 0.52/0.72 (define @t404 () (@quantifiers_skolemize @t401 1)) % 0.52/0.72 (define @t405 () (tptp.host @t404)) % 0.52/0.72 (define @t406 () (tptp.index tptp.down @t405)) % 0.52/0.72 (define @t407 () (forall @t82 (or (tptp.leq @t405 @t11) @t226 (tptp.setIn @t11 @t406) (= @t11 @t403)))) % 0.52/0.72 (define @t408 () (@quantifiers_skolemize @t401 4)) % 0.52/0.72 (define @t409 () (tptp.host @t408)) % 0.52/0.72 (define @t410 () (= tptp.norm (tptp.index tptp.status @t409))) % 0.52/0.72 (define @t411 () (not @t410)) % 0.52/0.72 (define @t412 () (= @t409 (tptp.index tptp.ldr @t409))) % 0.52/0.72 (define @t413 () (not @t412)) % 0.52/0.72 (define @t414 () (tptp.setIn @t408 tptp.alive)) % 0.52/0.72 (define @t415 () (not @t414)) % 0.52/0.72 (define @t416 () (tptp.s @t405)) % 0.52/0.72 (define @t417 () (tptp.leq @t416 @t409)) % 0.52/0.72 (define @t418 () (= @t405 @t409)) % 0.52/0.72 (define @t419 () (@quantifiers_skolemize @t401 3)) % 0.52/0.72 (define @t420 () (tptp.index tptp.status @t405)) % 0.52/0.72 (define @t421 () (not @t407)) % 0.52/0.72 (define @t422 () (tptp.setIn @t404 tptp.alive)) % 0.52/0.72 (define @t423 () (not @t422)) % 0.52/0.72 (define @t424 () (@quantifiers_skolemize @t401 0)) % 0.52/0.72 (define @t425 () (tptp.m_Down @t402)) % 0.52/0.72 (define @t426 () (tptp.cons @t425 @t424)) % 0.52/0.72 (define @t427 () (tptp.queue @t405)) % 0.52/0.72 (define @t428 () (= @t427 @t426)) % 0.52/0.72 (define @t429 () (not @t428)) % 0.52/0.72 (define @t430 () (or @t429 @t423 (tptp.leq @t405 @t403) (and (= @t403 (tptp.index tptp.ldr @t405)) (= tptp.norm @t420)) (and (= tptp.wait @t420) (= @t403 (tptp.host (tptp.index tptp.elid @t405)))) @t421 (not (= tptp.elec_1 @t420)) (tptp.leq tptp.nbr_proc @t405) (not (= @t405 (tptp.host @t419))) (not (tptp.setIn @t419 tptp.alive)) @t418 @t417 @t415 @t413 @t411)) % 0.52/0.72 (define @t431 () (@list true)) % 0.52/0.72 (define @t432 () (@list @t430)) % 0.52/0.72 (define @t433 () (tptp.setIn @t409 @t406)) % 0.52/0.72 (define @t434 () (tptp.leq @t9 @t409)) % 0.52/0.72 (define @t435 () (not @t434)) % 0.52/0.72 (define @t436 () (tptp.leq @t405 @t409)) % 0.52/0.72 (define @t437 () (= @t409 @t403)) % 0.52/0.72 (define @t438 () (or @t436 @t435 @t433 @t437)) % 0.52/0.72 (define @t439 () (= @t403 @t409)) % 0.52/0.72 (define @t440 () (or @t436 @t435 @t433 @t439)) % 0.52/0.72 (define @t441 () (@list false)) % 0.52/0.72 (define @t442 () (tptp.leq @t409 @t405)) % 0.52/0.72 (define @t443 () (and @t436 @t442)) % 0.52/0.72 (define @t444 () (= @t418 @t443)) % 0.52/0.72 (define @t445 () (not @t443)) % 0.52/0.72 (define @t446 () (@list true false)) % 0.52/0.72 (define @t447 () (@list @t416 @t409)) % 0.52/0.72 (define @t448 () (tptp.leq @t409 @t416)) % 0.52/0.72 (define @t449 () (or @t417 @t448)) % 0.52/0.72 (define @t450 () (= @t409 @t416)) % 0.52/0.72 (define @t451 () (or @t450 @t442)) % 0.52/0.72 (define @t452 () (= @t448 @t451)) % 0.52/0.72 (define @t453 () (and @t417 @t448)) % 0.52/0.72 (define @t454 () (= (= @t416 @t409) @t453)) % 0.52/0.72 (define @t455 () (forall @t18 (= @t26 @t59))) % 0.52/0.72 (define @t456 () (= @t453 @t450)) % 0.52/0.72 (define @t457 () (not @t453)) % 0.52/0.72 (define @t458 () (not @t450)) % 0.52/0.72 (define @t459 () (not @t436)) % 0.52/0.72 (define @t460 () (tptp.elem @t425 @t427)) % 0.52/0.72 (define @t461 () (not @t460)) % 0.52/0.72 (define @t462 () (not @t437)) % 0.52/0.72 (define @t463 () (or @t415 @t462 @t411 @t413 @t423 @t461)) % 0.52/0.72 (define @t464 () (not @t439)) % 0.52/0.72 (define @t465 () (or @t415 @t464 @t411 @t413 @t423 @t461)) % 0.52/0.72 (define @t466 () (tptp.elem @t425 @t426)) % 0.52/0.72 (define @t467 () (tptp.elem @t425 @t424)) % 0.52/0.72 (define @t468 () (or (= @t425 @t425) @t467)) % 0.52/0.72 (define @t469 () (= @t466 @t468)) % 0.52/0.72 (define @t470 () (not @t433)) % 0.52/0.72 (define @t471 () (or @t415 @t411 @t413 @t423 @t470)) % 0.52/0.72 (define @t472 () (not @t471)) % 0.52/0.72 (assume @p1 (forall @t4 (=> (tptp.elem (tptp.m_Ack @t2 @t1) (tptp.queue @t3)) (and (tptp.setIn @t2 tptp.pids) (tptp.setIn @t1 tptp.pids))))) % 0.52/0.72 (assume @p2 (forall (@list @t7 @t5) (=> (= (tptp.s @t8) @t6) (not (= @t8 @t6))))) % 0.52/0.72 (assume @p3 (forall @t10 (tptp.leq @t9 @t8))) % 0.52/0.72 (assume @p4 (tptp.leq @t9 tptp.nbr_proc)) % 0.52/0.72 (assume @p5 (forall @t10 (tptp.leq @t8 tptp.nbr_proc))) % 0.52/0.72 (assume @p6 (not (= tptp.elec_1 tptp.elec_2))) % 0.52/0.72 (assume @p7 (not (= tptp.elec_1 tptp.wait))) % 0.52/0.72 (assume @p8 (not (= tptp.elec_1 tptp.norm))) % 0.52/0.72 (assume @p9 (not (= tptp.elec_2 tptp.wait))) % 0.52/0.72 (assume @p10 (not (= tptp.elec_2 tptp.norm))) % 0.52/0.72 (assume @p11 (not (= tptp.norm tptp.wait))) % 0.52/0.72 (assume @p12 (forall @t15 (not (= @t14 (tptp.m_Halt @t11))))) % 0.52/0.72 (assume @p13 (forall @t15 (not (= @t14 (tptp.m_Down @t11))))) % 0.52/0.72 (assume @p14 (forall @t15 (not (= @t14 (tptp.m_NotNorm @t11))))) % 0.52/0.72 (assume @p15 (forall @t15 (not (= @t14 (tptp.m_Ldr @t11))))) % 0.52/0.72 (assume @p16 (forall @t15 (not (= @t14 (tptp.m_NormQ @t11))))) % 0.52/0.72 (assume @p17 (forall @t18 (not (= @t17 @t16)))) % 0.52/0.72 (assume @p18 (forall @t18 (not (= @t19 @t16)))) % 0.52/0.72 (assume @p19 (forall @t18 (not (= @t19 @t20)))) % 0.52/0.72 (assume @p20 (forall @t18 (not (= @t19 @t21)))) % 0.52/0.72 (assume @p21 (forall @t18 (not (= @t19 @t22)))) % 0.52/0.72 (assume @p22 (forall @t18 (not (= @t23 @t16)))) % 0.52/0.72 (assume @p23 (forall @t18 (not (= @t24 @t16)))) % 0.52/0.72 (assume @p24 (forall @t18 (not (= @t24 @t22)))) % 0.52/0.72 (assume @p25 (forall @t18 (not (= @t24 @t21)))) % 0.52/0.72 (assume @p26 (forall @t18 (not (= @t23 @t21)))) % 0.52/0.72 (assume @p27 (forall @t18 (= @t27 (not (= @t25 @t16))))) % 0.52/0.72 (assume @p28 (forall @t18 (= @t27 (not (= @t23 @t22))))) % 0.52/0.72 (assume @p29 (forall @t18 (= @t27 (not (= @t17 @t21))))) % 0.52/0.72 (assume @p30 (forall @t18 (= @t27 (not (= @t24 @t20))))) % 0.52/0.72 (assume @p31 (forall @t18 (= @t27 (not (= @t19 @t28))))) % 0.52/0.72 (assume @p32 (forall @t34 (=> (not (= @t32 @t30)) @t33))) % 0.52/0.72 (assume @p33 (forall @t34 (=> (not (= @t31 @t29)) @t33))) % 0.52/0.72 (assume @p34 (forall @t4 (=> (not (= @t3 (tptp.host @t1))) (not (= @t2 @t1))))) % 0.52/0.72 (assume @p35 (not (tptp.setIn tptp.nil tptp.alive))) % 0.52/0.72 (assume @p36 (forall @t36 (= (tptp.head @t35) @t13))) % 0.52/0.72 (assume @p37 (forall @t36 (= (tptp.tail @t35) @t5))) % 0.52/0.72 (assume @p38 (forall @t38 (= (tptp.last @t37) @t12))) % 0.52/0.72 (assume @p39 (forall @t38 (= (tptp.init @t37) @t5))) % 0.52/0.72 (assume @p40 (forall @t40 (or @t39 (= @t5 (tptp.cons (tptp.head @t5) (tptp.tail @t5)))))) % 0.52/0.72 (assume @p41 (forall @t40 (or @t39 (= @t5 (tptp.snoc (tptp.init @t5) (tptp.last @t5)))))) % 0.52/0.72 (assume @p42 (forall @t36 (not (= tptp.q_nil @t35)))) % 0.52/0.72 (assume @p43 (forall @t38 (not (= tptp.q_nil @t37)))) % 0.52/0.72 (assume @p44 (forall @t43 (= @t42 @t41))) % 0.52/0.72 (assume @p45 (forall @t44 (= (tptp.snoc @t35 @t12) (tptp.cons @t13 @t37)))) % 0.52/0.72 (assume @p46 (forall @t43 (not (tptp.elem @t13 tptp.q_nil)))) % 0.52/0.72 (assume @p47 @t46) % 0.52/0.72 (assume @p48 (forall @t44 (= (tptp.elem @t13 @t37) @t45))) % 0.52/0.72 (assume @p49 (forall @t43 (= @t48 (exists @t47 (or (= @t13 @t16) (= @t13 @t28)))))) % 0.52/0.72 (assume @p50 (forall @t43 (= (tptp.pidMsg @t25) @t13))) % 0.52/0.72 (assume @p51 (forall @t43 (= (tptp.pidMsg @t19) @t13))) % 0.52/0.72 (assume @p52 (tptp.ordered tptp.q_nil)) % 0.52/0.72 (assume @p53 (forall @t43 (and (tptp.ordered @t42) (tptp.ordered @t41)))) % 0.52/0.72 (assume @p54 (forall @t36 (= (tptp.ordered @t35) (and @t52 (forall @t47 (=> @t51 (tptp.leq @t50 @t49))))))) % 0.52/0.72 (assume @p55 (forall @t36 (= (tptp.ordered (tptp.snoc @t5 @t13)) (and @t52 (forall @t47 (=> @t51 (tptp.leq @t49 @t50))))))) % 0.52/0.72 (assume @p56 (forall @t53 (=> @t52 (tptp.ordered (tptp.snoc @t5 @t14))))) % 0.52/0.72 (assume @p57 (forall (@list @t5 @t13) (=> @t52 (tptp.ordered (tptp.snoc @t5 @t24))))) % 0.52/0.72 (assume @p58 (forall @t53 (=> (and (tptp.ordered (tptp.cons @t25 @t5)) (= @t56 @t55) (tptp.elem @t28 @t5)) @t54))) % 0.52/0.72 (assume @p59 (forall @t43 (not (tptp.leq @t57 @t13)))) % 0.52/0.72 (assume @p60 (forall @t43 (tptp.leq @t13 @t13))) % 0.52/0.72 (assume @p61 (forall @t18 (or @t54 @t58))) % 0.52/0.72 (assume @p62 @t60) % 0.52/0.72 (assume @p63 (forall @t15 (=> (and @t54 (tptp.leq @t12 @t11)) (tptp.leq @t13 @t11)))) % 0.52/0.72 (assume @p64 (forall @t18 (= @t54 (tptp.leq @t57 @t61)))) % 0.52/0.72 (assume @p65 (forall @t18 (= (tptp.leq @t13 @t61) (or (= @t13 @t61) @t54)))) % 0.52/0.72 (assume @p66 (forall @t43 (not (tptp.setIn @t13 tptp.setEmpty)))) % 0.52/0.72 (assume @p67 @t213) % 0.52/0.72 (assume @p68 true) % 0.52/0.72 (step @p69 :rule aci_norm :args ((= @t237 @t234))) % 0.52/0.72 (step @p70 :rule cong :premises (@p69) :args (@t239)) % 0.52/0.72 (step @p71 :rule quant-merge-prenex :args ((= (forall @t241 @t240) @t239))) % 0.52/0.72 (step @p72 :rule alpha_equiv :args (@t242 (@list @t214) (@list @t11))) % 0.52/0.72 (step @p73 :rule alpha_equiv :args (@t243 (@list @t221) (@list @t68))) % 0.52/0.72 (step @p74 :rule refl :args (@t84)) % 0.52/0.72 (step @p75 :rule refl :args (@t225)) % 0.52/0.72 (step @p76 :rule refl :args (@t229)) % 0.52/0.72 (step @p77 :rule refl :args (@t230)) % 0.52/0.72 (step @p78 :rule refl :args (@t231)) % 0.52/0.72 (step @p79 :rule refl :args (@t105)) % 0.52/0.72 (step @p80 :rule refl :args (@t232)) % 0.52/0.72 (step @p81 :rule refl :args (@t233)) % 0.52/0.72 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72) :args (@t244)) % 0.52/0.72 (step @p83 :rule quant-miniscope-or :args ((= @t240 @t244))) % 0.52/0.72 (step @p84 :rule trans :premises (@p83 @p82)) % 0.52/0.72 (step @p85 :rule symm :premises (@p84)) % 0.52/0.72 (step @p86 :rule cong :premises (@p85) :args (@t256)) % 0.52/0.72 (step @p87 :rule trans :premises (@p86 @p71)) % 0.52/0.72 (step @p88 :rule trans :premises (@p87 @p70)) % 0.52/0.72 (step @p89 :rule refl :args (@t267)) % 0.52/0.72 (step @p90 :rule refl :args (@t274)) % 0.52/0.72 (step @p91 :rule refl :args (@t279)) % 0.52/0.72 (step @p92 :rule refl :args (@t282)) % 0.52/0.72 (step @p93 :rule refl :args (@t290)) % 0.52/0.72 (step @p94 :rule refl :args (@t293)) % 0.52/0.72 (step @p95 :rule refl :args (@t296)) % 0.52/0.72 (step @p96 :rule refl :args (@t300)) % 0.52/0.72 (step @p97 :rule refl :args (@t303)) % 0.52/0.72 (step @p98 :rule refl :args (@t306)) % 0.52/0.72 (step @p99 :rule refl :args (@t310)) % 0.52/0.72 (step @p100 :rule refl :args (@t313)) % 0.52/0.72 (step @p101 :rule refl :args (@t319)) % 0.52/0.72 (step @p102 :rule refl :args (@t322)) % 0.52/0.72 (step @p103 :rule refl :args (@t328)) % 0.52/0.72 (step @p104 :rule refl :args (@t330)) % 0.52/0.72 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88) :args (@t331)) % 0.52/0.72 (step @p106 :rule quant-miniscope-or :args ((= (forall @t241 @t332) @t331))) % 0.52/0.72 (step @p107 :rule aci_norm :args ((= @t333 @t332))) % 0.52/0.72 (step @p108 :rule cong :premises (@p107) :args (@t334)) % 0.52/0.72 (step @p109 :rule quant-unused-vars :args ((= (forall @t211 @t333) @t334))) % 0.52/0.72 (step @p110 :rule trans :premises (@p109 @p108 @p106)) % 0.52/0.72 (step @p111 :rule trans :premises (@p110 @p105)) % 0.52/0.72 (step @p112 :rule aci_norm :args ((= (or @t336 @t335) @t333))) % 0.52/0.72 (step @p113 :rule aci_norm :args ((= (or @t232 @t337) @t335))) % 0.52/0.72 (step @p114 :rule aci_norm :args ((= (or @t105 @t338) @t337))) % 0.52/0.72 (step @p115 :rule aci_norm :args ((= (or @t340 @t339) @t338))) % 0.52/0.72 (step @p116 :rule aci_norm :args ((= (or (or @t229 @t225) @t341) @t339))) % 0.52/0.72 (step @p117 :rule aci_norm :args ((= (or @t84 @t342) @t341))) % 0.52/0.72 (step @p118 :rule refl :args (@t342)) % 0.52/0.72 (step @p119 :rule bool-double-not-elim :args (@t84)) % 0.52/0.72 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t85) @t342))) % 0.52/0.72 (step @p121 :rule bool-impl-elim :args (@t85 @t342)) % 0.52/0.72 (step @p122 :rule trans :premises (@p121 @p120)) % 0.52/0.72 (step @p123 :rule trans :premises (@p122 @p117)) % 0.52/0.72 (step @p124 :rule bool-and-de-morgan :args (@t228 @t224 true)) % 0.52/0.72 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t344) @t343))) % 0.52/0.72 (step @p126 :rule trans :premises (@p125 @p116)) % 0.52/0.72 (step @p127 :rule bool-impl-elim :args (@t344 @t343)) % 0.52/0.72 (step @p128 :rule trans :premises (@p127 @p126)) % 0.52/0.72 (step @p129 :rule refl :args (@t340)) % 0.52/0.72 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or @t340 @t345))) % 0.52/0.72 (step @p131 :rule trans :premises (@p130 @p115)) % 0.52/0.72 (step @p132 :rule refl :args (@t345)) % 0.52/0.72 (step @p133 :rule bool-double-not-elim :args (@t340)) % 0.52/0.72 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or (not @t346) @t345))) % 0.52/0.72 (step @p135 :rule bool-impl-elim :args (@t346 @t345)) % 0.52/0.72 (step @p136 :rule trans :premises (@p135 @p134)) % 0.52/0.72 (step @p137 :rule trans :premises (@p136 @p131)) % 0.52/0.72 (step @p138 :rule nary_cong :premises (@p79 @p137) :args ((or @t105 @t347))) % 0.52/0.72 (step @p139 :rule trans :premises (@p138 @p114)) % 0.52/0.72 (step @p140 :rule refl :args (@t347)) % 0.52/0.72 (step @p141 :rule bool-double-not-elim :args (@t105)) % 0.52/0.72 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or (not @t106) @t347))) % 0.52/0.72 (step @p143 :rule bool-impl-elim :args (@t106 @t347)) % 0.52/0.72 (step @p144 :rule trans :premises (@p143 @p142)) % 0.52/0.72 (step @p145 :rule trans :premises (@p144 @p139)) % 0.52/0.72 (step @p146 :rule nary_cong :premises (@p80 @p145) :args ((or @t232 @t348))) % 0.52/0.72 (step @p147 :rule trans :premises (@p146 @p113)) % 0.52/0.72 (step @p148 :rule bool-impl-elim :args (@t108 @t348)) % 0.52/0.72 (step @p149 :rule trans :premises (@p148 @p147)) % 0.52/0.72 (step @p150 :rule aci_norm :args ((= (or @t330 (or @t328 (or @t322 (or @t319 (or @t313 (or @t310 (or @t306 (or @t303 (or @t300 (or @t296 (or @t293 (or @t290 (or @t282 (or @t279 (or @t274 (or @t267 @t233)))))))))))))))) @t336))) % 0.52/0.72 (step @p151 :rule bool-and-de-morgan :args (@t266 @t111 true)) % 0.52/0.72 (step @p152 :rule refl :args (@t274)) % 0.52/0.72 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or @t274 (not (and @t266 @t111))))) % 0.52/0.72 (step @p154 :rule bool-and-de-morgan :args (@t273 @t266 (and @t111))) % 0.52/0.72 (step @p155 :rule trans :premises (@p154 @p153)) % 0.52/0.72 (step @p156 :rule refl :args (@t279)) % 0.52/0.72 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or @t279 (not (and @t273 @t266 @t111))))) % 0.52/0.72 (step @p158 :rule bool-and-de-morgan :args (@t278 @t273 (and @t266 @t111))) % 0.52/0.72 (step @p159 :rule trans :premises (@p158 @p157)) % 0.52/0.72 (step @p160 :rule refl :args (@t282)) % 0.52/0.72 (step @p161 :rule nary_cong :premises (@p160 @p159) :args ((or @t282 (not (and @t278 @t273 @t266 @t111))))) % 0.52/0.72 (step @p162 :rule bool-and-de-morgan :args (@t281 @t278 (and @t273 @t266 @t111))) % 0.52/0.72 (step @p163 :rule trans :premises (@p162 @p161)) % 0.52/0.72 (step @p164 :rule refl :args (@t290)) % 0.52/0.72 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t290 (not (and @t281 @t278 @t273 @t266 @t111))))) % 0.52/0.72 (step @p166 :rule bool-and-de-morgan :args (@t289 @t281 (and @t278 @t273 @t266 @t111))) % 0.52/0.72 (step @p167 :rule trans :premises (@p166 @p165)) % 0.52/0.72 (step @p168 :rule refl :args (@t293)) % 0.52/0.72 (step @p169 :rule nary_cong :premises (@p168 @p167) :args ((or @t293 (not (and @t289 @t281 @t278 @t273 @t266 @t111))))) % 0.52/0.72 (step @p170 :rule bool-and-de-morgan :args (@t292 @t289 (and @t281 @t278 @t273 @t266 @t111))) % 0.52/0.72 (step @p171 :rule trans :premises (@p170 @p169)) % 0.52/0.72 (step @p172 :rule refl :args (@t296)) % 0.52/0.72 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or @t296 (not (and @t292 @t289 @t281 @t278 @t273 @t266 @t111))))) % 0.52/0.72 (step @p174 :rule bool-and-de-morgan :args (@t295 @t292 (and @t289 @t281 @t278 @t273 @t266 @t111))) % 0.52/0.72 (step @p175 :rule trans :premises (@p174 @p173)) % 0.52/0.72 (step @p176 :rule refl :args (@t300)) % 0.52/0.72 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or @t300 (not (and @t295 @t292 @t289 @t281 @t278 @t273 @t266 @t111))))) % 0.52/0.72 (step @p178 :rule bool-and-de-morgan :args (@t299 @t295 (and @t292 @t289 @t281 @t278 @t273 @t266 @t111))) % 0.52/0.72 (step @p179 :rule trans :premises (@p178 @p177)) % 0.52/0.72 (step @p180 :rule refl :args (@t303)) % 0.52/0.72 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or @t303 (not (and @t299 @t295 @t292 @t289 @t281 @t278 @t273 @t266 @t111))))) % 0.52/0.72 (step @p182 :rule bool-and-de-morgan :args (@t302 @t299 (and @t295 @t292 @t289 @t281 @t278 @t273 @t266 @t111))) % 0.52/0.72 (step @p183 :rule trans :premises (@p182 @p181)) % 0.52/0.72 (step @p184 :rule refl :args (@t306)) % 0.52/0.72 (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or @t306 (not (and @t302 @t299 @t295 @t292 @t289 @t281 @t278 @t273 @t266 @t111))))) % 0.52/0.72 (step @p186 :rule bool-and-de-morgan :args (@t305 @t302 (and @t299 @t295 @t292 @t289 @t281 @t278 @t273 @t266 @t111))) % 0.52/0.72 (step @p187 :rule trans :premises (@p186 @p185)) % 0.52/0.72 (step @p188 :rule refl :args (@t310)) % 0.52/0.72 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or @t310 (not (and @t305 @t302 @t299 @t295 @t292 @t289 @t281 @t278 @t273 @t266 @t111))))) % 0.52/0.72 (step @p190 :rule bool-and-de-morgan :args (@t309 @t305 (and @t302 @t299 @t295 @t292 @t289 @t281 @t278 @t273 @t266 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:rule cong :premises (@p646) :args (@t212)) % 0.52/0.72 (step @p648 :rule trans :premises (@p647 @p218)) % 0.52/0.72 (step @p649 :rule cong :premises (@p648) :args (@t213)) % 0.52/0.72 (step @p650 :rule eq_resolve :premises (@p67 @p649)) % 0.52/0.72 (step @p651 :rule not_or_elim :premises (@p650) :args (5)) % 0.52/0.72 (step @p652 :rule not_not_elim :premises (@p651)) % 0.52/0.72 (step @p653 :rule not_or_elim :premises (@p650) :args (16)) % 0.52/0.72 (step @p654 :rule skolemize :premises (@p653)) % 0.52/0.72 (step @p655 :rule bool-double-not-elim :args (@t407)) % 0.52/0.72 (step @p656 :rule refl :args (@t430)) % 0.52/0.72 (step @p657 :rule nary_cong :premises (@p656 @p655) :args ((or @t430 (not @t421)))) % 0.52/0.72 (step @p658 :rule cnf_or_neg :args (@t430 5)) % 0.52/0.72 (step @p659 :rule eq_resolve :premises (@p658 @p657)) % 0.52/0.72 (step @p660 :rule reordering :premises (@p659) :args ((or @t407 @t430))) % 0.52/0.72 (step @p661 :rule chain_m_resolution :premises (@p660 @p654) 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@p774 @p768 @p739) :args (@t464 (@list false false false false false false) (@list @t422 @t414 @t412 @t410 @t460 @t465))) % 0.52/0.72 (step @p796 :rule cnf_or_pos :args (@t440)) % 0.52/0.72 (step @p797 :rule reordering :premises (@p796) :args ((or @t439 @t435 @t436 @t433 (not @t440)))) % 0.52/0.72 (step @p798 :rule chain_m_resolution :premises (@p797 @p795 @p721 @p720 @p675) :args (@t433 (@list true false true false) (@list @t439 @t434 @t436 @t440))) % 0.52/0.72 (step @p799 :rule cnf_or_pos :args (@t471)) % 0.52/0.72 (step @p800 :rule reordering :premises (@p799) :args ((or @t423 @t415 @t413 @t411 @t470 @t472))) % 0.52/0.72 (step @p801 :rule chain_m_resolution :premises (@p800 @p792 @p786 @p780 @p774 @p798) :args (@t472 (@list false false false false false) (@list @t422 @t414 @t412 @t410 @t433))) % 0.52/0.72 (assume-push @p816 @t309) % 0.52/0.72 (step @p803 :rule instantiate :premises (@p652) :args ((@list @t404 @t408))) % 0.52/0.72 (step-pop @p817 :rule scope :premises (@p803)) % 0.52/0.72 (step @p804 :rule process_scope :premises (@p817) :args (@t471)) % 0.52/0.72 (step @p806 :rule implies_elim :premises (@p804)) % 0.52/0.72 (step @p807 false :rule chain_m_resolution :premises (@p806 @p801 @p652) :args (false @t446 (@list @t471 @t309))) % 0.52/0.72 ) % 0.52/0.72 % SZS output end Proof % 0.52/0.72 % cvc5 exiting %------------------------------------------------------------------------------