%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV457+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 : n026.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 09:01:35 AM UTC 2026 % Result : Theorem 0.52s 0.76s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV457+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 % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 20:18:40 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.76 % SZS status Theorem % 0.52/0.76 % SZS output start Proof % 0.52/0.76 ( % 0.52/0.76 (declare-sort $$unsorted 0) % 0.52/0.76 (declare-const tptp.down $$unsorted) % 0.52/0.76 (declare-const tptp.ldr $$unsorted) % 0.52/0.76 (declare-const tptp.index (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.status $$unsorted) % 0.52/0.76 (declare-const tptp.ordered (-> $$unsorted Bool)) % 0.52/0.76 (declare-const tptp.pidMsg (-> $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.elec_1 $$unsorted) % 0.52/0.76 (declare-const tptp.zero $$unsorted) % 0.52/0.76 (declare-const tptp.elem (-> $$unsorted $$unsorted Bool)) % 0.52/0.76 (declare-const tptp.m_Ack (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.setEmpty $$unsorted) % 0.52/0.76 (declare-const tptp.elec_2 $$unsorted) % 0.52/0.76 (declare-const tptp.queue (-> $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.nbr_proc $$unsorted) % 0.52/0.76 (declare-const tptp.pendack $$unsorted) % 0.52/0.76 (declare-const tptp.setIn (-> $$unsorted $$unsorted Bool)) % 0.52/0.76 (declare-const tptp.wait $$unsorted) % 0.52/0.76 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.52/0.76 (declare-const tptp.elid $$unsorted) % 0.52/0.76 (declare-const tptp.norm $$unsorted) % 0.52/0.76 (declare-const tptp.m_Ldr (-> $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.host (-> $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.pids $$unsorted) % 0.52/0.76 (declare-const tptp.pidElem (-> $$unsorted Bool)) % 0.52/0.76 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.m_Down (-> $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.last (-> $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.m_NotNorm (-> $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.m_Halt (-> $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.alive $$unsorted) % 0.52/0.76 (declare-const tptp.nil $$unsorted) % 0.52/0.76 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.snoc (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.init (-> $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.m_NormQ (-> $$unsorted $$unsorted)) % 0.52/0.76 (declare-const tptp.q_nil $$unsorted) % 0.52/0.76 (define @t1 () (@var "Pid2" $$unsorted)) % 0.52/0.76 (define @t2 () (@var "Pid" $$unsorted)) % 0.52/0.76 (define @t3 () (tptp.host @t2)) % 0.52/0.76 (define @t4 () (@list @t2 @t1)) % 0.52/0.76 (define @t5 () (@var "Q" $$unsorted)) % 0.52/0.76 (define @t6 () (tptp.host @t5)) % 0.52/0.76 (define @t7 () (@var "P" $$unsorted)) % 0.52/0.76 (define @t8 () (tptp.host @t7)) % 0.52/0.76 (define @t9 () (tptp.s tptp.zero)) % 0.52/0.76 (define @t10 () (@list @t7)) % 0.52/0.76 (define @t11 () (@var "Z" $$unsorted)) % 0.52/0.76 (define @t12 () (@var "Y" $$unsorted)) % 0.52/0.76 (define @t13 () (@var "X" $$unsorted)) % 0.52/0.76 (define @t14 () (tptp.m_Ack @t13 @t12)) % 0.52/0.76 (define @t15 () (@list @t13 @t12 @t11)) % 0.52/0.76 (define @t16 () (tptp.m_Down @t11)) % 0.52/0.76 (define @t17 () (tptp.m_Ldr @t11)) % 0.52/0.76 (define @t18 () (tptp.m_Halt @t12)) % 0.52/0.76 (define @t19 () (tptp.m_NotNorm @t13)) % 0.52/0.76 (define @t20 () (@list @t13 @t12)) % 0.52/0.76 (define @t21 () (tptp.m_Down @t13)) % 0.52/0.76 (define @t22 () (tptp.m_Ldr @t12)) % 0.52/0.76 (define @t23 () (tptp.m_NotNorm @t12)) % 0.52/0.76 (define @t24 () (tptp.m_NormQ @t12)) % 0.52/0.76 (define @t25 () (tptp.m_NormQ @t13)) % 0.52/0.76 (define @t26 () (tptp.m_Ldr @t13)) % 0.52/0.76 (define @t27 () (tptp.m_Halt @t13)) % 0.52/0.76 (define @t28 () (= @t13 @t12)) % 0.52/0.76 (define @t29 () (not @t28)) % 0.52/0.76 (define @t30 () (tptp.m_Down @t12)) % 0.52/0.76 (define @t31 () (@var "Y2" $$unsorted)) % 0.52/0.76 (define @t32 () (@var "X2" $$unsorted)) % 0.52/0.76 (define @t33 () (@var "Y1" $$unsorted)) % 0.52/0.76 (define @t34 () (@var "X1" $$unsorted)) % 0.52/0.76 (define @t35 () (not (= (tptp.m_Ack @t34 @t33) (tptp.m_Ack @t32 @t31)))) % 0.52/0.76 (define @t36 () (= @t34 @t32)) % 0.52/0.76 (define @t37 () (not @t36)) % 0.52/0.76 (define @t38 () (@list @t34 @t32 @t33 @t31)) % 0.52/0.76 (define @t39 () (forall @t38 (=> @t37 @t35))) % 0.52/0.76 (define @t40 () (= @t33 @t31)) % 0.52/0.76 (define @t41 () (not @t40)) % 0.52/0.76 (define @t42 () (forall @t38 (=> @t41 @t35))) % 0.52/0.76 (define @t43 () (tptp.cons @t13 @t5)) % 0.52/0.76 (define @t44 () (@list @t13 @t5)) % 0.52/0.76 (define @t45 () (tptp.snoc @t5 @t12)) % 0.52/0.76 (define @t46 () (@list @t12 @t5)) % 0.52/0.76 (define @t47 () (= @t5 tptp.q_nil)) % 0.52/0.76 (define @t48 () (@list @t5)) % 0.52/0.76 (define @t49 () (tptp.snoc tptp.q_nil @t13)) % 0.52/0.76 (define @t50 () (tptp.cons @t13 tptp.q_nil)) % 0.52/0.76 (define @t51 () (@list @t13)) % 0.52/0.76 (define @t52 () (@list @t13 @t12 @t5)) % 0.52/0.76 (define @t53 () (or @t28 (tptp.elem @t13 @t5))) % 0.52/0.76 (define @t54 () (forall @t52 (= (tptp.elem @t13 (tptp.cons @t12 @t5)) @t53))) % 0.52/0.76 (define @t55 () (tptp.elem @t13 @t45)) % 0.52/0.76 (define @t56 () (forall @t52 (= @t55 @t53))) % 0.52/0.76 (define @t57 () (@list @t12)) % 0.52/0.76 (define @t58 () (tptp.pidElem @t13)) % 0.52/0.76 (define @t59 () (tptp.pidMsg @t12)) % 0.52/0.76 (define @t60 () (tptp.pidMsg @t13)) % 0.52/0.76 (define @t61 () (and (tptp.elem @t12 @t5) @t58 (tptp.pidElem @t12) (= (tptp.host @t59) (tptp.host @t60)))) % 0.52/0.76 (define @t62 () (tptp.ordered @t5)) % 0.52/0.76 (define @t63 () (@list @t5 @t13 @t12)) % 0.52/0.76 (define @t64 () (tptp.leq @t13 @t12)) % 0.52/0.76 (define @t65 () (tptp.host @t12)) % 0.52/0.76 (define @t66 () (tptp.host @t13)) % 0.52/0.76 (define @t67 () (tptp.s @t13)) % 0.52/0.76 (define @t68 () (tptp.leq @t12 @t13)) % 0.52/0.76 (define @t69 () (and @t64 @t68)) % 0.52/0.76 (define @t70 () (forall @t20 (= @t69 @t28))) % 0.52/0.76 (define @t71 () (tptp.s @t12)) % 0.52/0.76 (define @t72 () (tptp.index tptp.status @t65)) % 0.52/0.76 (define @t73 () (tptp.index tptp.ldr @t65)) % 0.52/0.76 (define @t74 () (tptp.setIn @t12 tptp.alive)) % 0.52/0.76 (define @t75 () (and @t74 (= @t73 @t65) (= @t72 tptp.norm))) % 0.52/0.76 (define @t76 () (not @t75)) % 0.52/0.76 (define @t77 () (@var "X0" $$unsorted)) % 0.52/0.76 (define @t78 () (tptp.host @t77)) % 0.52/0.76 (define @t79 () (tptp.index tptp.pendack @t78)) % 0.52/0.76 (define @t80 () (tptp.host @t11)) % 0.52/0.76 (define @t81 () (= @t80 @t79)) % 0.52/0.76 (define @t82 () (tptp.index tptp.status @t78)) % 0.52/0.76 (define @t83 () (@var "W" $$unsorted)) % 0.52/0.76 (define @t84 () (tptp.m_Ack @t13 @t83)) % 0.52/0.76 (define @t85 () (tptp.elem (tptp.m_Ack @t77 @t11) (tptp.snoc (tptp.queue @t78) @t84))) % 0.52/0.76 (define @t86 () (tptp.leq tptp.nbr_proc @t79)) % 0.52/0.76 (define @t87 () (tptp.setIn @t77 tptp.alive)) % 0.52/0.76 (define @t88 () (and @t87 @t86 @t85 (= @t82 tptp.elec_2) @t81)) % 0.52/0.76 (define @t89 () (=> @t88 @t76)) % 0.52/0.76 (define @t90 () (tptp.host @t83)) % 0.52/0.76 (define @t91 () (= @t90 @t78)) % 0.52/0.76 (define @t92 () (not @t91)) % 0.52/0.76 (define @t93 () (=> @t92 @t89)) % 0.52/0.76 (define @t94 () (= @t66 @t78)) % 0.52/0.76 (define @t95 () (=> @t94 @t93)) % 0.52/0.76 (define @t96 () (@list @t11 @t77)) % 0.52/0.76 (define @t97 () (forall @t96 @t95)) % 0.52/0.76 (define @t98 () (not (= @t90 @t65))) % 0.52/0.76 (define @t99 () (=> @t98 @t97)) % 0.52/0.76 (define @t100 () (forall @t57 @t99)) % 0.52/0.76 (define @t101 () (tptp.setIn @t83 tptp.alive)) % 0.52/0.76 (define @t102 () (=> @t101 @t100)) % 0.52/0.76 (define @t103 () (@var "V" $$unsorted)) % 0.52/0.76 (define @t104 () (= (tptp.queue @t90) (tptp.cons @t27 @t103))) % 0.52/0.76 (define @t105 () (@var "Pid0" $$unsorted)) % 0.52/0.76 (define @t106 () (tptp.host @t105)) % 0.52/0.76 (define @t107 () (tptp.index tptp.pendack @t106)) % 0.52/0.76 (define @t108 () (= @t80 @t107)) % 0.52/0.76 (define @t109 () (tptp.index tptp.status @t106)) % 0.52/0.76 (define @t110 () (= @t109 tptp.elec_2)) % 0.52/0.76 (define @t111 () (tptp.leq tptp.nbr_proc @t107)) % 0.52/0.76 (define @t112 () (tptp.queue @t106)) % 0.52/0.76 (define @t113 () (tptp.elem (tptp.m_Ack @t105 @t11) @t112)) % 0.52/0.76 (define @t114 () (tptp.setIn @t105 tptp.alive)) % 0.52/0.76 (define @t115 () (and @t114 @t113 @t111 @t110 @t108)) % 0.52/0.76 (define @t116 () (=> @t115 @t76)) % 0.52/0.76 (define @t117 () (@list @t12 @t11 @t105)) % 0.52/0.76 (define @t118 () (forall @t117 @t116)) % 0.52/0.76 (define @t119 () (tptp.queue @t80)) % 0.52/0.76 (define @t120 () (tptp.elem (tptp.m_Halt @t105) @t119)) % 0.52/0.76 (define @t121 () (tptp.leq @t107 @t65)) % 0.52/0.76 (define @t122 () (not @t121)) % 0.52/0.76 (define @t123 () (and @t122 @t114 @t120 @t110)) % 0.52/0.76 (define @t124 () (=> @t123 @t76)) % 0.52/0.76 (define @t125 () (forall @t117 @t124)) % 0.52/0.76 (define @t126 () (tptp.index tptp.pendack @t80)) % 0.52/0.76 (define @t127 () (not (tptp.leq (tptp.index tptp.pendack @t65) @t126))) % 0.52/0.76 (define @t128 () (tptp.index tptp.status @t80)) % 0.52/0.76 (define @t129 () (= @t72 tptp.elec_2)) % 0.52/0.76 (define @t130 () (tptp.setIn @t11 tptp.alive)) % 0.52/0.76 (define @t131 () (tptp.leq @t65 @t80)) % 0.52/0.76 (define @t132 () (not @t131)) % 0.52/0.76 (define @t133 () (and @t132 @t74 @t130 @t129 (= @t128 tptp.elec_2))) % 0.52/0.76 (define @t134 () (=> @t133 @t127)) % 0.52/0.76 (define @t135 () (@list @t12 @t11)) % 0.52/0.76 (define @t136 () (forall @t135 @t134)) % 0.52/0.76 (define @t137 () (not (tptp.setIn @t106 (tptp.index tptp.down @t80)))) % 0.52/0.76 (define @t138 () (= @t80 @t65)) % 0.52/0.76 (define @t139 () (tptp.m_Ack @t105 @t12)) % 0.52/0.76 (define @t140 () (tptp.elem @t139 @t112)) % 0.52/0.76 (define @t141 () (and @t130 @t114 @t140 @t138)) % 0.52/0.76 (define @t142 () (=> @t141 @t137)) % 0.52/0.76 (define @t143 () (forall @t117 @t142)) % 0.52/0.76 (define @t144 () (not @t114)) % 0.52/0.76 (define @t145 () (tptp.elem @t30 @t119)) % 0.52/0.76 (define @t146 () (and @t145 @t113 (= @t106 @t65))) % 0.52/0.76 (define @t147 () (=> @t146 @t144)) % 0.52/0.76 (define @t148 () (forall @t117 @t147)) % 0.52/0.76 (define @t149 () (tptp.index tptp.elid @t65)) % 0.52/0.76 (define @t150 () (or (= @t72 tptp.elec_1) @t129)) % 0.52/0.76 (define @t151 () (and @t150 @t74)) % 0.52/0.76 (define @t152 () (=> @t151 (= @t149 @t12))) % 0.52/0.76 (define @t153 () (forall @t57 @t152)) % 0.52/0.76 (define @t154 () (tptp.elem (tptp.m_Ack @t11 @t12) @t119)) % 0.52/0.76 (define @t155 () (not @t154)) % 0.52/0.76 (define @t156 () (and @t130 (= @t128 tptp.elec_1))) % 0.52/0.76 (define @t157 () (=> @t156 @t155)) % 0.52/0.76 (define @t158 () (forall @t135 @t157)) % 0.52/0.76 (define @t159 () (tptp.queue @t65)) % 0.52/0.76 (define @t160 () (not (tptp.elem (tptp.m_Ack @t12 @t11) @t159))) % 0.52/0.76 (define @t161 () (=> @t156 @t160)) % 0.52/0.76 (define @t162 () (forall @t135 @t161)) % 0.52/0.76 (define @t163 () (tptp.leq @t65 @t126)) % 0.52/0.76 (define @t164 () (and @t130 @t154)) % 0.52/0.76 (define @t165 () (forall @t135 (=> @t164 @t163))) % 0.52/0.76 (define @t166 () (not @t130)) % 0.52/0.76 (define @t167 () (not @t74)) % 0.52/0.76 (define @t168 () (or @t167 @t166)) % 0.52/0.76 (define @t169 () (not (= @t11 @t12))) % 0.52/0.76 (define @t170 () (and @t169 @t138)) % 0.52/0.76 (define @t171 () (=> @t170 @t168)) % 0.52/0.76 (define @t172 () (forall @t135 @t171)) % 0.52/0.76 (define @t173 () (tptp.leq @t11 @t12)) % 0.52/0.76 (define @t174 () (and @t167 @t173 @t138)) % 0.52/0.76 (define @t175 () (=> @t174 @t166)) % 0.52/0.76 (define @t176 () (forall @t135 @t175)) % 0.52/0.76 (define @t177 () (not (tptp.leq @t65 @t106))) % 0.52/0.76 (define @t178 () (tptp.elem @t139 @t119)) % 0.52/0.76 (define @t179 () (forall @t117 (=> @t178 @t177))) % 0.52/0.76 (define @t180 () (tptp.elem @t17 @t159)) % 0.52/0.76 (define @t181 () (forall @t135 (=> @t180 @t132))) % 0.52/0.76 (define @t182 () (tptp.elem @t16 @t159)) % 0.52/0.76 (define @t183 () (forall @t135 (=> @t182 @t166))) % 0.52/0.76 (define @t184 () (tptp.setIn @t11 tptp.pids)) % 0.52/0.76 (define @t185 () (forall @t135 (=> @t154 @t184))) % 0.52/0.76 (define @t186 () (and @t185 @t183 @t181 @t179 @t176 @t172 @t165 @t162 @t158 @t153 @t148 @t143 @t136 @t125 @t118 @t104)) % 0.52/0.76 (define @t187 () (=> @t186 @t102)) % 0.52/0.76 (define @t188 () (@list @t103 @t83 @t13)) % 0.52/0.76 (define @t189 () (forall @t188 @t187)) % 0.52/0.76 (define @t190 () (not @t189)) % 0.52/0.76 (define @t191 () (@var "BOUND_VARIABLE_8309" $$unsorted)) % 0.52/0.76 (define @t192 () (tptp.host @t191)) % 0.52/0.76 (define @t193 () (not (= tptp.norm (tptp.index tptp.status @t192)))) % 0.52/0.76 (define @t194 () (not (= @t192 (tptp.index tptp.ldr @t192)))) % 0.52/0.76 (define @t195 () (not (tptp.setIn @t191 tptp.alive))) % 0.52/0.76 (define @t196 () (@var "BOUND_VARIABLE_8284" $$unsorted)) % 0.52/0.76 (define @t197 () (tptp.host @t196)) % 0.52/0.76 (define @t198 () (@var "BOUND_VARIABLE_8286" $$unsorted)) % 0.52/0.76 (define @t199 () (tptp.host @t198)) % 0.52/0.76 (define @t200 () (tptp.index tptp.pendack @t199)) % 0.52/0.76 (define @t201 () (not (= @t197 @t200))) % 0.52/0.76 (define @t202 () (not (= tptp.elec_2 (tptp.index tptp.status @t199)))) % 0.52/0.76 (define @t203 () (not (tptp.elem (tptp.m_Ack @t198 @t196) (tptp.snoc (tptp.queue @t199) @t84)))) % 0.52/0.76 (define @t204 () (not (tptp.leq tptp.nbr_proc @t200))) % 0.52/0.76 (define @t205 () (not (tptp.setIn @t198 tptp.alive))) % 0.52/0.76 (define @t206 () (= @t90 @t199)) % 0.52/0.76 (define @t207 () (not (= @t66 @t199))) % 0.52/0.76 (define @t208 () (not @t101)) % 0.52/0.76 (define @t209 () (not @t104)) % 0.52/0.76 (define @t210 () (= @t192 @t90)) % 0.52/0.76 (define @t211 () (or @t209 @t208 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t210 @t195 @t194 @t193)) % 0.52/0.76 (define @t212 () (or @t210 @t195 @t194 @t193)) % 0.52/0.76 (define @t213 () (or @t207 @t206 @t205 @t204 @t203 @t202 @t201)) % 0.52/0.76 (define @t214 () (or @t209 @t208 @t213 @t212)) % 0.52/0.76 (define @t215 () (@list @t103 @t83 @t13 @t196 @t198 @t191)) % 0.52/0.76 (define @t216 () (forall @t215 @t214)) % 0.52/0.76 (define @t217 () (forall (@list @t196 @t198 @t191) @t214)) % 0.52/0.76 (define @t218 () (forall (@list @t191) @t212)) % 0.52/0.76 (define @t219 () (forall (@list @t196 @t198) @t213)) % 0.52/0.76 (define @t220 () (or @t209 @t208 @t219 @t218)) % 0.52/0.76 (define @t221 () (= tptp.norm @t72)) % 0.52/0.76 (define @t222 () (not @t221)) % 0.52/0.76 (define @t223 () (= @t65 @t73)) % 0.52/0.76 (define @t224 () (not @t223)) % 0.52/0.76 (define @t225 () (= @t65 @t90)) % 0.52/0.76 (define @t226 () (or @t225 @t167 @t224 @t222)) % 0.52/0.76 (define @t227 () (forall @t57 @t226)) % 0.52/0.76 (define @t228 () (not @t81)) % 0.52/0.76 (define @t229 () (= tptp.elec_2 @t82)) % 0.52/0.76 (define @t230 () (not @t229)) % 0.52/0.76 (define @t231 () (not @t85)) % 0.52/0.76 (define @t232 () (not @t86)) % 0.52/0.76 (define @t233 () (not @t87)) % 0.52/0.76 (define @t234 () (not @t94)) % 0.52/0.76 (define @t235 () (or @t234 @t91 @t233 @t232 @t231 @t230 @t228)) % 0.52/0.76 (define @t236 () (forall @t96 @t235)) % 0.52/0.76 (define @t237 () (or @t209 @t208 @t236 @t227)) % 0.52/0.76 (define @t238 () (forall @t188 @t237)) % 0.52/0.76 (define @t239 () (or @t167 @t224 @t222)) % 0.52/0.76 (define @t240 () (forall @t57 @t239)) % 0.52/0.76 (define @t241 () (not @t240)) % 0.52/0.76 (define @t242 () (not @t108)) % 0.52/0.76 (define @t243 () (= tptp.elec_2 @t109)) % 0.52/0.76 (define @t244 () (not @t243)) % 0.52/0.76 (define @t245 () (not @t111)) % 0.52/0.76 (define @t246 () (not @t113)) % 0.52/0.76 (define @t247 () (or @t144 @t246 @t245 @t244 @t242)) % 0.52/0.76 (define @t248 () (forall (@list @t11 @t105) @t247)) % 0.52/0.76 (define @t249 () (not @t248)) % 0.52/0.76 (define @t250 () (and @t249 @t241)) % 0.52/0.76 (define @t251 () (not @t120)) % 0.52/0.76 (define @t252 () (or @t121 @t144 @t251 @t244 @t167 @t224 @t222)) % 0.52/0.76 (define @t253 () (forall @t117 @t252)) % 0.52/0.76 (define @t254 () (not @t253)) % 0.52/0.76 (define @t255 () (= tptp.elec_2 @t128)) % 0.52/0.76 (define @t256 () (not @t255)) % 0.52/0.76 (define @t257 () (= tptp.elec_2 @t72)) % 0.52/0.76 (define @t258 () (not @t257)) % 0.52/0.76 (define @t259 () (or @t131 @t167 @t166 @t258 @t256 @t127)) % 0.52/0.76 (define @t260 () (forall @t135 @t259)) % 0.52/0.76 (define @t261 () (not @t260)) % 0.52/0.76 (define @t262 () (= @t65 @t80)) % 0.52/0.76 (define @t263 () (not @t262)) % 0.52/0.76 (define @t264 () (not @t140)) % 0.52/0.76 (define @t265 () (or @t166 @t144 @t264 @t263 @t137)) % 0.52/0.76 (define @t266 () (forall @t117 @t265)) % 0.52/0.76 (define @t267 () (not @t266)) % 0.52/0.76 (define @t268 () (= @t65 @t106)) % 0.52/0.76 (define @t269 () (not @t268)) % 0.52/0.76 (define @t270 () (not @t145)) % 0.52/0.76 (define @t271 () (or @t270 @t246 @t269 @t144)) % 0.52/0.76 (define @t272 () (forall @t117 @t271)) % 0.52/0.76 (define @t273 () (not @t272)) % 0.52/0.76 (define @t274 () (= @t12 @t149)) % 0.52/0.76 (define @t275 () (= tptp.elec_1 @t72)) % 0.52/0.76 (define @t276 () (and (not @t275) @t258)) % 0.52/0.76 (define @t277 () (or @t276 @t167 @t274)) % 0.52/0.76 (define @t278 () (forall @t57 @t277)) % 0.52/0.76 (define @t279 () (not @t278)) % 0.52/0.76 (define @t280 () (= tptp.elec_1 @t128)) % 0.52/0.76 (define @t281 () (not @t280)) % 0.52/0.76 (define @t282 () (or @t166 @t281 @t155)) % 0.52/0.76 (define @t283 () (forall @t135 @t282)) % 0.52/0.76 (define @t284 () (not @t283)) % 0.52/0.76 (define @t285 () (or @t166 @t281 @t160)) % 0.52/0.76 (define @t286 () (forall @t135 @t285)) % 0.52/0.76 (define @t287 () (not @t286)) % 0.52/0.76 (define @t288 () (or @t166 @t155 @t163)) % 0.52/0.76 (define @t289 () (forall @t135 @t288)) % 0.52/0.76 (define @t290 () (not @t289)) % 0.52/0.76 (define @t291 () (= @t12 @t11)) % 0.52/0.76 (define @t292 () (or @t291 @t263 @t167 @t166)) % 0.52/0.76 (define @t293 () (forall @t135 @t292)) % 0.52/0.76 (define @t294 () (not @t293)) % 0.52/0.76 (define @t295 () (not @t173)) % 0.52/0.76 (define @t296 () (or @t74 @t295 @t263 @t166)) % 0.52/0.76 (define @t297 () (forall @t135 @t296)) % 0.52/0.76 (define @t298 () (not @t297)) % 0.52/0.76 (define @t299 () (forall @t117 (or (not @t178) @t177))) % 0.52/0.76 (define @t300 () (not @t299)) % 0.52/0.76 (define @t301 () (forall @t135 (or (not @t180) @t132))) % 0.52/0.76 (define @t302 () (not @t301)) % 0.52/0.76 (define @t303 () (forall @t135 (or (not @t182) @t166))) % 0.52/0.76 (define @t304 () (not @t303)) % 0.52/0.76 (define @t305 () (forall @t135 (or @t155 @t184))) % 0.52/0.76 (define @t306 () (not @t305)) % 0.52/0.76 (define @t307 () (or @t306 @t304 @t302 @t300 @t298 @t294 @t290 @t287 @t284 @t279 @t273 @t267 @t261 @t254 @t250 @t238)) % 0.52/0.76 (define @t308 () (or @t306 @t304 @t302 @t300 @t298 @t294 @t290 @t287 @t284 @t279 @t273 @t267 @t261 @t254 @t250 @t237)) % 0.52/0.76 (define @t309 () (or @t306 @t304 @t302 @t300 @t298 @t294 @t290 @t287 @t284 @t279 @t273 @t267 @t261 @t254 @t250 @t209 @t208 @t236 @t227)) % 0.52/0.76 (define @t310 () (or @t208 @t236 @t227)) % 0.52/0.76 (define @t311 () (or @t236 @t227)) % 0.52/0.76 (define @t312 () (or @t248 @t240)) % 0.52/0.76 (define @t313 () (not @t312)) % 0.52/0.76 (define @t314 () (or @t306 @t304 @t302 @t300 @t298 @t294 @t290 @t287 @t284 @t279 @t273 @t267 @t261 @t254 @t313 @t209)) % 0.52/0.76 (define @t315 () (=> @t101 @t311)) % 0.52/0.76 (define @t316 () (and @t305 @t303 @t301 @t299 @t297 @t293 @t289 @t286 @t283 @t278 @t272 @t266 @t260 @t253 @t312 @t104)) % 0.52/0.76 (define @t317 () (or @t236 @t226)) % 0.52/0.76 (define @t318 () (or @t225 @t167 @t224 @t222 @t236)) % 0.52/0.76 (define @t319 () (or @t167 @t224 @t222 @t236)) % 0.52/0.76 (define @t320 () (not @t225)) % 0.52/0.76 (define @t321 () (or @t167 @t224 @t222 @t235)) % 0.52/0.76 (define @t322 () (or @t234 @t91 @t233 @t232 @t231 @t230 @t228 @t167 @t224 @t222)) % 0.52/0.76 (define @t323 () (or @t91 @t233 @t232 @t231 @t230 @t228 @t167 @t224 @t222)) % 0.52/0.76 (define @t324 () (or @t233 @t232 @t231 @t230 @t228 @t167 @t224 @t222)) % 0.52/0.76 (define @t325 () (or @t233 @t232 @t231 @t230 @t228)) % 0.52/0.76 (define @t326 () (not (and @t74 @t223 @t221))) % 0.52/0.76 (define @t327 () (and @t87 @t86 @t85 @t229 @t81)) % 0.52/0.76 (define @t328 () (=> @t327 @t326)) % 0.52/0.76 (define @t329 () (=> @t92 @t328)) % 0.52/0.76 (define @t330 () (or @t247 @t239)) % 0.52/0.76 (define @t331 () (@list @t11 @t105 @t12)) % 0.52/0.76 (define @t332 () (or @t144 @t246 @t245 @t244 @t242 @t167 @t224 @t222)) % 0.52/0.76 (define @t333 () (forall @t331 @t332)) % 0.52/0.76 (define @t334 () (and @t114 @t113 @t111 @t243 @t108)) % 0.52/0.76 (define @t335 () (not @t122)) % 0.52/0.76 (define @t336 () (or @t335 @t144 @t251 @t244)) % 0.52/0.76 (define @t337 () (and @t122 @t114 @t120 @t243)) % 0.52/0.76 (define @t338 () (not @t132)) % 0.52/0.76 (define @t339 () (or @t338 @t167 @t166 @t258 @t256)) % 0.52/0.76 (define @t340 () (and @t132 @t74 @t130 @t257 @t255)) % 0.52/0.76 (define @t341 () (or @t166 @t144 @t264 @t263)) % 0.52/0.76 (define @t342 () (and @t130 @t114 @t140 @t262)) % 0.52/0.76 (define @t343 () (or @t270 @t246 @t269)) % 0.52/0.76 (define @t344 () (and @t145 @t113 @t268)) % 0.52/0.76 (define @t345 () (or @t275 @t257)) % 0.52/0.76 (define @t346 () (and @t345 @t74)) % 0.52/0.76 (define @t347 () (or @t166 @t281)) % 0.52/0.76 (define @t348 () (and @t130 @t280)) % 0.52/0.76 (define @t349 () (not @t348)) % 0.52/0.76 (define @t350 () (not @t291)) % 0.52/0.76 (define @t351 () (and @t350 @t262)) % 0.52/0.76 (define @t352 () (not @t167)) % 0.52/0.76 (define @t353 () (or @t352 @t295 @t263)) % 0.52/0.76 (define @t354 () (and @t167 @t173 @t262)) % 0.52/0.76 (define @t355 () (forall @t215 (or @t209 @t208 @t207 @t206 @t205 @t204 @t203 @t202 (not (= @t200 @t197)) (= @t90 @t192) @t195 @t194 @t193))) % 0.52/0.76 (define @t356 () (@quantifiers_skolemize @t355 0)) % 0.52/0.76 (define @t357 () (@quantifiers_skolemize @t355 2)) % 0.52/0.76 (define @t358 () (tptp.m_Halt @t357)) % 0.52/0.76 (define @t359 () (tptp.cons @t358 @t356)) % 0.52/0.76 (define @t360 () (@quantifiers_skolemize @t355 1)) % 0.52/0.76 (define @t361 () (tptp.host @t360)) % 0.52/0.76 (define @t362 () (tptp.queue @t361)) % 0.52/0.76 (define @t363 () (= @t362 @t359)) % 0.52/0.76 (define @t364 () (@quantifiers_skolemize @t355 5)) % 0.52/0.76 (define @t365 () (tptp.host @t364)) % 0.52/0.76 (define @t366 () (= tptp.norm (tptp.index tptp.status @t365))) % 0.52/0.76 (define @t367 () (not @t366)) % 0.52/0.76 (define @t368 () (= @t365 (tptp.index tptp.ldr @t365))) % 0.52/0.76 (define @t369 () (not @t368)) % 0.52/0.76 (define @t370 () (tptp.setIn @t364 tptp.alive)) % 0.52/0.76 (define @t371 () (not @t370)) % 0.52/0.76 (define @t372 () (= @t361 @t365)) % 0.52/0.76 (define @t373 () (@quantifiers_skolemize @t355 3)) % 0.52/0.76 (define @t374 () (tptp.host @t373)) % 0.52/0.76 (define @t375 () (@quantifiers_skolemize @t355 4)) % 0.52/0.76 (define @t376 () (tptp.host @t375)) % 0.52/0.76 (define @t377 () (tptp.index tptp.pendack @t376)) % 0.52/0.76 (define @t378 () (= @t377 @t374)) % 0.52/0.76 (define @t379 () (not @t378)) % 0.52/0.76 (define @t380 () (tptp.index tptp.status @t376)) % 0.52/0.76 (define @t381 () (= tptp.elec_2 @t380)) % 0.52/0.76 (define @t382 () (not @t381)) % 0.52/0.76 (define @t383 () (tptp.m_Ack @t357 @t360)) % 0.52/0.76 (define @t384 () (tptp.queue @t376)) % 0.52/0.76 (define @t385 () (tptp.m_Ack @t375 @t373)) % 0.52/0.76 (define @t386 () (tptp.elem @t385 (tptp.snoc @t384 @t383))) % 0.52/0.76 (define @t387 () (not @t386)) % 0.52/0.76 (define @t388 () (tptp.leq tptp.nbr_proc @t377)) % 0.52/0.76 (define @t389 () (not @t388)) % 0.52/0.76 (define @t390 () (tptp.setIn @t375 tptp.alive)) % 0.52/0.76 (define @t391 () (not @t390)) % 0.52/0.76 (define @t392 () (tptp.host @t357)) % 0.52/0.76 (define @t393 () (= @t392 @t376)) % 0.52/0.76 (define @t394 () (not @t393)) % 0.52/0.76 (define @t395 () (not @t363)) % 0.52/0.76 (define @t396 () (or @t395 (not (tptp.setIn @t360 tptp.alive)) @t394 (= @t361 @t376) @t391 @t389 @t387 @t382 @t379 @t372 @t371 @t369 @t367)) % 0.52/0.76 (define @t397 () (@list true)) % 0.52/0.76 (define @t398 () (@list @t396)) % 0.52/0.76 (define @t399 () (not (= @t383 @t385))) % 0.52/0.76 (define @t400 () (= @t357 @t375)) % 0.52/0.76 (define @t401 () (or @t400 @t399)) % 0.52/0.76 (define @t402 () (forall @t38 (or @t36 @t35))) % 0.52/0.76 (define @t403 () (@list @t357 @t375 @t360 @t373)) % 0.52/0.76 (define @t404 () (= @t385 @t383)) % 0.52/0.76 (define @t405 () (not @t404)) % 0.52/0.76 (define @t406 () (or @t400 @t405)) % 0.52/0.76 (define @t407 () (@list false)) % 0.52/0.76 (define @t408 () (tptp.elem @t385 @t384)) % 0.52/0.76 (define @t409 () (or @t404 @t408)) % 0.52/0.76 (define @t410 () (forall @t52 (= @t53 @t55))) % 0.52/0.76 (define @t411 () (= @t409 @t386)) % 0.52/0.76 (define @t412 () (= @t386 @t409)) % 0.52/0.76 (define @t413 () (@list false false)) % 0.52/0.76 (define @t414 () (or @t371 @t369 @t367)) % 0.52/0.76 (define @t415 () (not @t414)) % 0.52/0.76 (define @t416 () (@list @t364)) % 0.52/0.76 (define @t417 () (not (= @t374 @t377))) % 0.52/0.76 (define @t418 () (not @t408)) % 0.52/0.76 (define @t419 () (or @t391 @t418 @t389 @t382 @t417)) % 0.52/0.76 (define @t420 () (or @t391 @t418 @t389 @t382 @t379)) % 0.52/0.76 (define @t421 () (@list true false)) % 0.52/0.76 (define @t422 () (tptp.m_Halt @t375)) % 0.52/0.76 (define @t423 () (tptp.elem @t422 @t356)) % 0.52/0.76 (define @t424 () (or (= @t422 @t358) @t423)) % 0.52/0.76 (define @t425 () (tptp.elem @t422 @t359)) % 0.52/0.76 (define @t426 () (= @t425 @t424)) % 0.52/0.76 (define @t427 () (= @t358 @t422)) % 0.52/0.76 (define @t428 () (or @t427 @t423)) % 0.52/0.76 (define @t429 () (= @t425 @t428)) % 0.52/0.76 (define @t430 () (= tptp.nbr_proc @t365)) % 0.52/0.76 (define @t431 () (tptp.leq tptp.nbr_proc @t365)) % 0.52/0.76 (define @t432 () (tptp.leq @t365 tptp.nbr_proc)) % 0.52/0.76 (define @t433 () (and @t432 @t431)) % 0.52/0.76 (define @t434 () (= (= @t365 tptp.nbr_proc) @t433)) % 0.52/0.76 (define @t435 () (forall @t20 (= @t28 @t69))) % 0.52/0.76 (define @t436 () (= @t433 @t430)) % 0.52/0.76 (define @t437 () (tptp.leq @t377 tptp.nbr_proc)) % 0.52/0.76 (define @t438 () (and @t388 @t437)) % 0.52/0.76 (define @t439 () (= tptp.nbr_proc @t377)) % 0.52/0.76 (define @t440 () (= @t439 @t438)) % 0.52/0.76 (define @t441 () (= @t360 @t373)) % 0.52/0.76 (define @t442 () (or @t441 @t399)) % 0.52/0.76 (define @t443 () (forall @t38 (or @t40 @t35))) % 0.52/0.76 (define @t444 () (or @t441 @t405)) % 0.52/0.76 (define @t445 () (not @t372)) % 0.52/0.76 (define @t446 () (not @t430)) % 0.52/0.76 (define @t447 () (not @t439)) % 0.52/0.76 (define @t448 () (not @t441)) % 0.52/0.76 (define @t449 () (= @t361 @t374)) % 0.52/0.76 (define @t450 () (and @t378 @t445 @t441 @t439)) % 0.52/0.76 (define @t451 () (not @t433)) % 0.52/0.76 (define @t452 () (not @t431)) % 0.52/0.76 (define @t453 () (tptp.index tptp.pendack @t392)) % 0.52/0.76 (define @t454 () (tptp.leq @t453 @t365)) % 0.52/0.76 (define @t455 () (not @t454)) % 0.52/0.76 (define @t456 () (and @t393 @t439 @t452)) % 0.52/0.76 (define @t457 () (tptp.setIn @t357 tptp.alive)) % 0.52/0.76 (define @t458 () (and @t390 @t400)) % 0.52/0.76 (define @t459 () (not @t400)) % 0.52/0.76 (define @t460 () (= tptp.elec_2 (tptp.index tptp.status @t392))) % 0.52/0.76 (define @t461 () (not @t460)) % 0.52/0.76 (define @t462 () (tptp.elem @t358 @t362)) % 0.52/0.76 (define @t463 () (not @t462)) % 0.52/0.76 (define @t464 () (not @t457)) % 0.52/0.76 (define @t465 () (or @t454 @t464 @t463 @t461 @t371 @t369 @t367)) % 0.52/0.76 (define @t466 () (not @t425)) % 0.52/0.76 (define @t467 () (and @t463 @t400 @t363 @t425)) % 0.52/0.76 (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))))) % 0.52/0.76 (assume @p2 (forall (@list @t7 @t5) (=> (= (tptp.s @t8) @t6) (not (= @t8 @t6))))) % 0.52/0.76 (assume @p3 (forall @t10 (tptp.leq @t9 @t8))) % 0.52/0.76 (assume @p4 (tptp.leq @t9 tptp.nbr_proc)) % 0.52/0.76 (assume @p5 (forall @t10 (tptp.leq @t8 tptp.nbr_proc))) % 0.52/0.76 (assume @p6 (not (= tptp.elec_1 tptp.elec_2))) % 0.52/0.76 (assume @p7 (not (= tptp.elec_1 tptp.wait))) % 0.52/0.76 (assume @p8 (not (= tptp.elec_1 tptp.norm))) % 0.52/0.76 (assume @p9 (not (= tptp.elec_2 tptp.wait))) % 0.52/0.76 (assume @p10 (not (= tptp.elec_2 tptp.norm))) % 0.52/0.76 (assume @p11 (not (= tptp.norm tptp.wait))) % 0.52/0.76 (assume @p12 (forall @t15 (not (= @t14 (tptp.m_Halt @t11))))) % 0.52/0.76 (assume @p13 (forall @t15 (not (= @t14 @t16)))) % 0.52/0.76 (assume @p14 (forall @t15 (not (= @t14 (tptp.m_NotNorm @t11))))) % 0.52/0.76 (assume @p15 (forall @t15 (not (= @t14 @t17)))) % 0.52/0.76 (assume @p16 (forall @t15 (not (= @t14 (tptp.m_NormQ @t11))))) % 0.52/0.76 (assume @p17 (forall @t20 (not (= @t19 @t18)))) % 0.52/0.76 (assume @p18 (forall @t20 (not (= @t21 @t18)))) % 0.52/0.76 (assume @p19 (forall @t20 (not (= @t21 @t22)))) % 0.52/0.76 (assume @p20 (forall @t20 (not (= @t21 @t23)))) % 0.52/0.76 (assume @p21 (forall @t20 (not (= @t21 @t24)))) % 0.52/0.76 (assume @p22 (forall @t20 (not (= @t25 @t18)))) % 0.52/0.76 (assume @p23 (forall @t20 (not (= @t26 @t18)))) % 0.52/0.76 (assume @p24 (forall @t20 (not (= @t26 @t24)))) % 0.52/0.76 (assume @p25 (forall @t20 (not (= @t26 @t23)))) % 0.52/0.76 (assume @p26 (forall @t20 (not (= @t25 @t23)))) % 0.52/0.76 (assume @p27 (forall @t20 (= @t29 (not (= @t27 @t18))))) % 0.52/0.76 (assume @p28 (forall @t20 (= @t29 (not (= @t25 @t24))))) % 0.52/0.76 (assume @p29 (forall @t20 (= @t29 (not (= @t19 @t23))))) % 0.52/0.76 (assume @p30 (forall @t20 (= @t29 (not (= @t26 @t22))))) % 0.52/0.76 (assume @p31 (forall @t20 (= @t29 (not (= @t21 @t30))))) % 0.52/0.76 (assume @p32 @t39) % 0.52/0.76 (assume @p33 @t42) % 0.52/0.76 (assume @p34 (forall @t4 (=> (not (= @t3 (tptp.host @t1))) (not (= @t2 @t1))))) % 0.52/0.76 (assume @p35 (not (tptp.setIn tptp.nil tptp.alive))) % 0.52/0.76 (assume @p36 (forall @t44 (= (tptp.head @t43) @t13))) % 0.52/0.76 (assume @p37 (forall @t44 (= (tptp.tail @t43) @t5))) % 0.52/0.76 (assume @p38 (forall @t46 (= (tptp.last @t45) @t12))) % 0.52/0.76 (assume @p39 (forall @t46 (= (tptp.init @t45) @t5))) % 0.52/0.76 (assume @p40 (forall @t48 (or @t47 (= @t5 (tptp.cons (tptp.head @t5) (tptp.tail @t5)))))) % 0.52/0.76 (assume @p41 (forall @t48 (or @t47 (= @t5 (tptp.snoc (tptp.init @t5) (tptp.last @t5)))))) % 0.52/0.76 (assume @p42 (forall @t44 (not (= tptp.q_nil @t43)))) % 0.52/0.76 (assume @p43 (forall @t46 (not (= tptp.q_nil @t45)))) % 0.52/0.76 (assume @p44 (forall @t51 (= @t50 @t49))) % 0.52/0.76 (assume @p45 (forall @t52 (= (tptp.snoc @t43 @t12) (tptp.cons @t13 @t45)))) % 0.52/0.76 (assume @p46 (forall @t51 (not (tptp.elem @t13 tptp.q_nil)))) % 0.52/0.76 (assume @p47 @t54) % 0.52/0.76 (assume @p48 @t56) % 0.52/0.76 (assume @p49 (forall @t51 (= @t58 (exists @t57 (or (= @t13 @t18) (= @t13 @t30)))))) % 0.52/0.76 (assume @p50 (forall @t51 (= (tptp.pidMsg @t27) @t13))) % 0.52/0.76 (assume @p51 (forall @t51 (= (tptp.pidMsg @t21) @t13))) % 0.52/0.76 (assume @p52 (tptp.ordered tptp.q_nil)) % 0.52/0.76 (assume @p53 (forall @t51 (and (tptp.ordered @t50) (tptp.ordered @t49)))) % 0.52/0.76 (assume @p54 (forall @t44 (= (tptp.ordered @t43) (and @t62 (forall @t57 (=> @t61 (tptp.leq @t60 @t59))))))) % 0.52/0.76 (assume @p55 (forall @t44 (= (tptp.ordered (tptp.snoc @t5 @t13)) (and @t62 (forall @t57 (=> @t61 (tptp.leq @t59 @t60))))))) % 0.52/0.76 (assume @p56 (forall @t63 (=> @t62 (tptp.ordered (tptp.snoc @t5 @t14))))) % 0.52/0.76 (assume @p57 (forall (@list @t5 @t13) (=> @t62 (tptp.ordered (tptp.snoc @t5 @t26))))) % 0.52/0.76 (assume @p58 (forall @t63 (=> (and (tptp.ordered (tptp.cons @t27 @t5)) (= @t66 @t65) (tptp.elem @t30 @t5)) @t64))) % 0.52/0.76 (assume @p59 (forall @t51 (not (tptp.leq @t67 @t13)))) % 0.52/0.76 (assume @p60 (forall @t51 (tptp.leq @t13 @t13))) % 0.52/0.76 (assume @p61 (forall @t20 (or @t64 @t68))) % 0.52/0.76 (assume @p62 @t70) % 0.52/0.76 (assume @p63 (forall @t15 (=> (and @t64 (tptp.leq @t12 @t11)) (tptp.leq @t13 @t11)))) % 0.52/0.76 (assume @p64 (forall @t20 (= @t64 (tptp.leq @t67 @t71)))) % 0.52/0.76 (assume @p65 (forall @t20 (= (tptp.leq @t13 @t71) (or (= @t13 @t71) @t64)))) % 0.52/0.76 (assume @p66 (forall @t51 (not (tptp.setIn @t13 tptp.setEmpty)))) % 0.52/0.76 (assume @p67 @t190) % 0.52/0.76 (assume @p68 true) % 0.52/0.76 (step @p69 :rule refl :args (@t193)) % 0.52/0.76 (step @p70 :rule refl :args (@t194)) % 0.52/0.76 (step @p71 :rule refl :args (@t195)) % 0.52/0.76 (step @p72 :rule eq-symm :args (@t192 @t90)) % 0.52/0.76 (step @p73 :rule eq-symm :args (@t197 @t200)) % 0.52/0.76 (step @p74 :rule cong :premises (@p73) :args (@t201)) % 0.52/0.76 (step @p75 :rule refl :args (@t202)) % 0.52/0.76 (step @p76 :rule refl :args (@t203)) % 0.52/0.76 (step @p77 :rule refl :args (@t204)) % 0.52/0.76 (step @p78 :rule refl :args (@t205)) % 0.52/0.76 (step @p79 :rule refl :args (@t206)) % 0.52/0.76 (step @p80 :rule refl :args (@t207)) % 0.52/0.76 (step @p81 :rule refl :args (@t208)) % 0.52/0.76 (step @p82 :rule refl :args (@t209)) % 0.52/0.76 (step @p83 :rule nary_cong :premises (@p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p72 @p71 @p70 @p69) :args (@t211)) % 0.52/0.76 (step @p84 :rule aci_norm :args ((= @t214 @t211))) % 0.52/0.76 (step @p85 :rule trans :premises (@p84 @p83)) % 0.52/0.76 (step @p86 :rule cong :premises (@p85) :args (@t216)) % 0.52/0.76 (step @p87 :rule quant-merge-prenex :args ((= (forall @t188 @t217) @t216))) % 0.52/0.76 (step @p88 :rule alpha_equiv :args (@t218 (@list @t191) (@list @t12))) % 0.52/0.76 (step @p89 :rule alpha_equiv :args (@t219 (@list @t196 @t198) (@list @t11 @t77))) % 0.52/0.76 (step @p90 :rule refl :args (@t208)) % 0.52/0.76 (step @p91 :rule refl :args (@t209)) % 0.52/0.76 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p88) :args (@t220)) % 0.52/0.76 (step @p93 :rule quant-miniscope-or :args ((= @t217 @t220))) % 0.52/0.76 (step @p94 :rule trans :premises (@p93 @p92)) % 0.52/0.76 (step @p95 :rule symm :premises (@p94)) % 0.52/0.76 (step @p96 :rule cong :premises (@p95) :args (@t238)) % 0.52/0.76 (step @p97 :rule trans :premises (@p96 @p87)) % 0.52/0.76 (step @p98 :rule trans :premises (@p97 @p86)) % 0.52/0.76 (step @p99 :rule refl :args (@t250)) % 0.52/0.76 (step @p100 :rule refl :args (@t254)) % 0.52/0.76 (step @p101 :rule refl :args (@t261)) % 0.52/0.76 (step @p102 :rule refl :args (@t267)) % 0.52/0.76 (step @p103 :rule refl :args (@t273)) % 0.52/0.76 (step @p104 :rule refl :args (@t279)) % 0.52/0.76 (step @p105 :rule refl :args (@t284)) % 0.52/0.76 (step @p106 :rule refl :args (@t287)) % 0.52/0.76 (step @p107 :rule refl :args (@t290)) % 0.52/0.76 (step @p108 :rule refl :args (@t294)) % 0.52/0.76 (step @p109 :rule refl :args (@t298)) % 0.52/0.76 (step @p110 :rule refl :args (@t300)) % 0.52/0.76 (step @p111 :rule refl :args (@t302)) % 0.52/0.76 (step @p112 :rule refl :args (@t304)) % 0.52/0.76 (step @p113 :rule refl :args (@t306)) % 0.52/0.76 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98) :args (@t307)) % 0.52/0.76 (step @p115 :rule quant-miniscope-or :args ((= (forall @t188 @t308) @t307))) % 0.52/0.76 (step @p116 :rule aci_norm :args ((= @t309 @t308))) % 0.52/0.76 (step @p117 :rule cong :premises (@p116) :args ((forall @t188 @t309))) % 0.52/0.76 (step @p118 :rule trans :premises (@p117 @p115)) % 0.52/0.76 (step @p119 :rule trans :premises (@p118 @p114)) % 0.52/0.76 (step @p120 :rule aci_norm :args ((= (or (or @t306 @t304 @t302 @t300 @t298 @t294 @t290 @t287 @t284 @t279 @t273 @t267 @t261 @t254 @t250 @t209) @t310) @t309))) % 0.52/0.76 (step @p121 :rule aci_norm :args ((= (or @t208 @t311) @t310))) % 0.52/0.76 (step @p122 :rule bool-impl-elim :args (@t101 @t311)) % 0.52/0.76 (step @p123 :rule trans :premises (@p122 @p121)) % 0.52/0.76 (step @p124 :rule bool-or-de-morgan :args (@t248 @t240 false)) % 0.52/0.76 (step @p125 :rule refl :args (@t254)) % 0.52/0.76 (step @p126 :rule refl :args (@t261)) % 0.52/0.76 (step @p127 :rule refl :args (@t267)) % 0.52/0.76 (step @p128 :rule refl :args (@t273)) % 0.52/0.76 (step @p129 :rule refl :args (@t279)) % 0.52/0.76 (step @p130 :rule refl :args (@t284)) % 0.52/0.76 (step @p131 :rule refl :args (@t287)) % 0.52/0.76 (step @p132 :rule refl :args (@t290)) % 0.52/0.76 (step @p133 :rule refl :args (@t294)) % 0.52/0.76 (step @p134 :rule refl :args (@t298)) % 0.52/0.76 (step @p135 :rule refl :args (@t300)) % 0.52/0.76 (step @p136 :rule refl :args (@t302)) % 0.52/0.76 (step @p137 :rule refl :args (@t304)) % 0.52/0.76 (step @p138 :rule refl :args (@t306)) % 0.52/0.76 (step @p139 :rule nary_cong :premises (@p138 @p137 @p136 @p135 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p91) :args (@t314)) % 0.52/0.76 (step @p140 :rule aci_norm :args ((= (or @t306 (or @t304 (or @t302 (or @t300 (or @t298 (or @t294 (or @t290 (or @t287 (or @t284 (or @t279 (or @t273 (or @t267 (or @t261 (or @t254 (or @t313 @t209))))))))))))))) @t314))) % 0.52/0.76 (step @p141 :rule bool-and-de-morgan :args (@t312 @t104 true)) % 0.52/0.76 (step @p142 :rule nary_cong :premises (@p125 @p141) :args ((or @t254 (not (and @t312 @t104))))) % 0.52/0.76 (step @p143 :rule bool-and-de-morgan :args (@t253 @t312 (and @t104))) % 0.52/0.76 (step @p144 :rule trans :premises (@p143 @p142)) % 0.52/0.76 (step @p145 :rule nary_cong :premises (@p126 @p144) :args ((or @t261 (not (and @t253 @t312 @t104))))) % 0.52/0.76 (step @p146 :rule bool-and-de-morgan :args (@t260 @t253 (and @t312 @t104))) % 0.52/0.76 (step @p147 :rule trans :premises (@p146 @p145)) % 0.52/0.76 (step @p148 :rule nary_cong :premises (@p127 @p147) :args ((or @t267 (not (and @t260 @t253 @t312 @t104))))) % 0.52/0.76 (step @p149 :rule bool-and-de-morgan :args (@t266 @t260 (and @t253 @t312 @t104))) % 0.52/0.76 (step @p150 :rule trans :premises (@p149 @p148)) % 0.52/0.76 (step @p151 :rule nary_cong :premises (@p128 @p150) :args ((or @t273 (not (and @t266 @t260 @t253 @t312 @t104))))) % 0.52/0.76 (step @p152 :rule bool-and-de-morgan :args (@t272 @t266 (and @t260 @t253 @t312 @t104))) % 0.52/0.76 (step @p153 :rule trans :premises (@p152 @p151)) % 0.52/0.76 (step @p154 :rule nary_cong :premises (@p129 @p153) :args ((or @t279 (not (and @t272 @t266 @t260 @t253 @t312 @t104))))) % 0.52/0.76 (step @p155 :rule bool-and-de-morgan :args (@t278 @t272 (and @t266 @t260 @t253 @t312 @t104))) % 0.52/0.76 (step @p156 :rule trans :premises (@p155 @p154)) % 0.52/0.76 (step @p157 :rule nary_cong :premises (@p130 @p156) :args ((or @t284 (not (and @t278 @t272 @t266 @t260 @t253 @t312 @t104))))) % 0.52/0.76 (step @p158 :rule bool-and-de-morgan :args (@t283 @t278 (and @t272 @t266 @t260 @t253 @t312 @t104))) % 0.52/0.76 (step @p159 :rule trans :premises (@p158 @p157)) % 0.52/0.76 (step @p160 :rule nary_cong :premises (@p131 @p159) :args ((or @t287 (not (and @t283 @t278 @t272 @t266 @t260 @t253 @t312 @t104))))) % 0.52/0.76 (step @p161 :rule bool-and-de-morgan :args (@t286 @t283 (and @t278 @t272 @t266 @t260 @t253 @t312 @t104))) % 0.52/0.76 (step @p162 :rule trans :premises (@p161 @p160)) % 0.52/0.76 (step @p163 :rule nary_cong :premises (@p132 @p162) :args ((or @t290 (not (and @t286 @t283 @t278 @t272 @t266 @t260 @t253 @t312 @t104))))) % 0.52/0.76 (step @p164 :rule bool-and-de-morgan :args (@t289 @t286 (and @t283 @t278 @t272 @t266 @t260 @t253 @t312 @t104))) % 0.52/0.76 (step @p165 :rule trans :premises (@p164 @p163)) % 0.52/0.76 (step @p166 :rule nary_cong :premises (@p133 @p165) :args ((or @t294 (not (and @t289 @t286 @t283 @t278 @t272 @t266 @t260 @t253 @t312 @t104))))) % 0.52/0.76 (step @p167 :rule bool-and-de-morgan :args (@t293 @t289 (and @t286 @t283 @t278 @t272 @t266 @t260 @t253 @t312 @t104))) % 0.52/0.76 (step @p168 :rule trans :premises (@p167 @p166)) % 0.52/0.76 (step @p169 :rule nary_cong :premises (@p134 @p168) :args ((or @t298 (not (and @t293 @t289 @t286 @t283 @t278 @t272 @t266 @t260 @t253 @t312 @t104))))) % 0.52/0.76 (step @p170 :rule bool-and-de-morgan :args (@t297 @t293 (and @t289 @t286 @t283 @t278 @t272 @t266 @t260 @t253 @t312 @t104))) % 0.52/0.76 (step @p171 :rule trans :premises (@p170 @p169)) % 0.52/0.76 (step @p172 :rule nary_cong :premises (@p135 @p171) :args ((or @t300 (not (and @t297 @t293 @t289 @t286 @t283 @t278 @t272 @t266 @t260 @t253 @t312 @t104))))) % 0.52/0.76 (step @p173 :rule bool-and-de-morgan :args (@t299 @t297 (and @t293 @t289 @t286 @t283 @t278 @t272 @t266 @t260 @t253 @t312 @t104))) % 0.52/0.76 (step @p174 :rule trans :premises (@p173 @p172)) % 0.52/0.76 (step @p175 :rule nary_cong :premises (@p136 @p174) :args ((or @t302 (not (and @t299 @t297 @t293 @t289 @t286 @t283 @t278 @t272 @t266 @t260 @t253 @t312 @t104))))) % 0.52/0.76 (step @p176 :rule bool-and-de-morgan :args (@t301 @t299 (and @t297 @t293 @t289 @t286 @t283 @t278 @t272 @t266 @t260 @t253 @t312 @t104))) % 0.52/0.76 (step @p177 :rule trans :premises (@p176 @p175)) % 0.52/0.76 (step @p178 :rule nary_cong :premises (@p137 @p177) :args ((or @t304 (not (and @t301 @t299 @t297 @t293 @t289 @t286 @t283 @t278 @t272 @t266 @t260 @t253 @t312 @t104))))) % 0.52/0.76 (step @p179 :rule bool-and-de-morgan :args (@t303 @t301 (and @t299 @t297 @t293 @t289 @t286 @t283 @t278 @t272 @t266 @t260 @t253 @t312 @t104))) % 0.52/0.76 (step @p180 :rule trans :premises (@p179 @p178)) % 0.52/0.76 (step @p181 :rule nary_cong :premises (@p138 @p180) :args ((or @t306 (not (and @t303 @t301 @t299 @t297 @t293 @t289 @t286 @t283 @t278 @t272 @t266 @t260 @t253 @t312 @t104))))) % 0.52/0.76 (step @p182 :rule bool-and-de-morgan :args (@t305 @t303 (and @t301 @t299 @t297 @t293 @t289 @t286 @t283 @t278 @t272 @t266 @t260 @t253 @t312 @t104))) % 0.52/0.76 (step @p183 :rule trans :premises (@p182 @p181)) % 0.52/0.76 (step @p184 :rule trans :premises (@p183 @p140)) % 0.52/0.76 (step @p185 :rule trans :premises (@p184 @p139)) % 0.52/0.76 (step @p186 :rule nary_cong :premises (@p185 @p123) :args ((or (not @t316) @t315))) % 0.52/0.76 (step @p187 :rule trans :premises (@p186 @p120)) % 0.52/0.76 (step @p188 :rule bool-impl-elim :args (@t316 @t315)) % 0.52/0.76 (step @p189 :rule trans :premises (@p188 @p187)) % 0.52/0.76 (step @p190 :rule cong 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scope :premises (@p889)) % 0.52/0.77 (step-pop @p971 :rule scope :premises (@p970)) % 0.52/0.77 (step-pop @p972 :rule scope :premises (@p971)) % 0.52/0.77 (step-pop @p973 :rule scope :premises (@p972)) % 0.52/0.77 (step @p890 :rule process_scope :premises (@p973) :args (false)) % 0.52/0.77 (assume-push @p974 @t363) % 0.52/0.77 (assume-push @p975 @t400) % 0.52/0.77 (assume-push @p976 @t425) % 0.52/0.77 (assume-push @p977 @t463) % 0.52/0.77 (step @p899 :rule and_intro :premises (@p977 @p975 @p537 @p976)) % 0.52/0.77 (step-pop @p978 :rule scope :premises (@p899)) % 0.52/0.77 (step-pop @p979 :rule scope :premises (@p978)) % 0.52/0.77 (step-pop @p980 :rule scope :premises (@p979)) % 0.52/0.77 (step-pop @p981 :rule scope :premises (@p980)) % 0.52/0.77 (step @p900 :rule process_scope :premises (@p981) :args (@t467)) % 0.52/0.77 (step @p905 :rule implies_elim :premises (@p900)) % 0.52/0.77 (step @p906 :rule resolution :premises (@p905 @p890) :args (true @t467)) % 0.52/0.77 (step @p907 :rule not_and :premises (@p906)) % 0.52/0.77 (step @p908 :rule eq_resolve :premises (@p907 @p872)) % 0.52/0.77 (step @p909 false :rule chain_m_resolution :premises (@p908 @p867 @p691 @p662 @p537) :args (false (@list true false false false) (@list @t462 @t425 @t400 @t363))) % 0.52/0.77 ) % 0.52/0.77 % SZS output end Proof % 0.52/0.77 % cvc5 exiting %------------------------------------------------------------------------------