%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV465+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 09:01:36 AM UTC 2026 % Result : Theorem 0.48s 0.69s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV465+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 % 0.17/0.34 % Computer : n026.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 20:19:10 EDT 2026 % 0.17/0.34 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.48/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.48/0.69 % SZS status Theorem % 0.48/0.69 % SZS output start Proof % 0.48/0.69 ( % 0.48/0.69 (declare-sort $$unsorted 0) % 0.48/0.69 (declare-const tptp.down $$unsorted) % 0.48/0.69 (declare-const tptp.ldr $$unsorted) % 0.48/0.69 (declare-const tptp.index (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.status $$unsorted) % 0.48/0.69 (declare-const tptp.ordered (-> $$unsorted Bool)) % 0.48/0.69 (declare-const tptp.pidMsg (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.elec_1 $$unsorted) % 0.48/0.69 (declare-const tptp.zero $$unsorted) % 0.48/0.69 (declare-const tptp.elem (-> $$unsorted $$unsorted Bool)) % 0.48/0.69 (declare-const tptp.m_Ack (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.setEmpty $$unsorted) % 0.48/0.69 (declare-const tptp.elec_2 $$unsorted) % 0.48/0.69 (declare-const tptp.queue (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.nbr_proc $$unsorted) % 0.48/0.69 (declare-const tptp.pendack $$unsorted) % 0.48/0.69 (declare-const tptp.setIn (-> $$unsorted $$unsorted Bool)) % 0.48/0.69 (declare-const tptp.wait $$unsorted) % 0.48/0.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.48/0.69 (declare-const tptp.elid $$unsorted) % 0.48/0.69 (declare-const tptp.norm $$unsorted) % 0.48/0.69 (declare-const tptp.m_Ldr (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.host (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.pids $$unsorted) % 0.48/0.69 (declare-const tptp.pidElem (-> $$unsorted Bool)) % 0.48/0.69 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.m_Down (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.last (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.m_NotNorm (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.m_Halt (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.alive $$unsorted) % 0.48/0.69 (declare-const tptp.nil $$unsorted) % 0.48/0.69 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.snoc (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.init (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.m_NormQ (-> $$unsorted $$unsorted)) % 0.48/0.69 (declare-const tptp.q_nil $$unsorted) % 0.48/0.69 (define @t1 () (@var "Pid2" $$unsorted)) % 0.48/0.69 (define @t2 () (@var "Pid" $$unsorted)) % 0.48/0.69 (define @t3 () (tptp.host @t2)) % 0.48/0.69 (define @t4 () (@list @t2 @t1)) % 0.48/0.69 (define @t5 () (@var "Q" $$unsorted)) % 0.48/0.69 (define @t6 () (tptp.host @t5)) % 0.48/0.69 (define @t7 () (@var "P" $$unsorted)) % 0.48/0.69 (define @t8 () (tptp.host @t7)) % 0.48/0.69 (define @t9 () (tptp.s tptp.zero)) % 0.48/0.69 (define @t10 () (@list @t7)) % 0.48/0.69 (define @t11 () (@var "Z" $$unsorted)) % 0.48/0.69 (define @t12 () (tptp.m_Halt @t11)) % 0.48/0.69 (define @t13 () (@var "Y" $$unsorted)) % 0.48/0.69 (define @t14 () (@var "X" $$unsorted)) % 0.48/0.69 (define @t15 () (tptp.m_Ack @t14 @t13)) % 0.48/0.69 (define @t16 () (@list @t14 @t13 @t11)) % 0.48/0.69 (define @t17 () (tptp.m_Down @t11)) % 0.48/0.69 (define @t18 () (forall @t16 (not (= @t15 (tptp.m_NotNorm @t11))))) % 0.48/0.69 (define @t19 () (tptp.m_Ldr @t11)) % 0.48/0.69 (define @t20 () (tptp.m_Halt @t13)) % 0.48/0.69 (define @t21 () (tptp.m_NotNorm @t14)) % 0.48/0.69 (define @t22 () (@list @t14 @t13)) % 0.48/0.69 (define @t23 () (tptp.m_Down @t14)) % 0.48/0.69 (define @t24 () (tptp.m_Ldr @t13)) % 0.48/0.69 (define @t25 () (tptp.m_NotNorm @t13)) % 0.48/0.69 (define @t26 () (tptp.m_NormQ @t13)) % 0.48/0.69 (define @t27 () (tptp.m_NormQ @t14)) % 0.48/0.69 (define @t28 () (tptp.m_Ldr @t14)) % 0.48/0.69 (define @t29 () (tptp.m_Halt @t14)) % 0.48/0.69 (define @t30 () (= @t14 @t13)) % 0.48/0.69 (define @t31 () (not @t30)) % 0.48/0.69 (define @t32 () (tptp.m_Down @t13)) % 0.48/0.69 (define @t33 () (@var "Y2" $$unsorted)) % 0.48/0.69 (define @t34 () (@var "X2" $$unsorted)) % 0.48/0.69 (define @t35 () (@var "Y1" $$unsorted)) % 0.48/0.69 (define @t36 () (@var "X1" $$unsorted)) % 0.48/0.69 (define @t37 () (not (= (tptp.m_Ack @t36 @t35) (tptp.m_Ack @t34 @t33)))) % 0.48/0.69 (define @t38 () (@list @t36 @t34 @t35 @t33)) % 0.48/0.69 (define @t39 () (tptp.cons @t14 @t5)) % 0.48/0.69 (define @t40 () (@list @t14 @t5)) % 0.48/0.69 (define @t41 () (tptp.snoc @t5 @t13)) % 0.48/0.69 (define @t42 () (@list @t13 @t5)) % 0.48/0.69 (define @t43 () (= @t5 tptp.q_nil)) % 0.48/0.69 (define @t44 () (@list @t5)) % 0.48/0.69 (define @t45 () (tptp.snoc tptp.q_nil @t14)) % 0.48/0.69 (define @t46 () (tptp.cons @t14 tptp.q_nil)) % 0.48/0.69 (define @t47 () (@list @t14)) % 0.48/0.69 (define @t48 () (@list @t14 @t13 @t5)) % 0.48/0.69 (define @t49 () (or @t30 (tptp.elem @t14 @t5))) % 0.48/0.69 (define @t50 () (forall @t48 (= (tptp.elem @t14 (tptp.cons @t13 @t5)) @t49))) % 0.48/0.69 (define @t51 () (tptp.elem @t14 @t41)) % 0.48/0.69 (define @t52 () (forall @t48 (= @t51 @t49))) % 0.48/0.69 (define @t53 () (@list @t13)) % 0.48/0.69 (define @t54 () (tptp.pidElem @t14)) % 0.48/0.69 (define @t55 () (tptp.pidMsg @t13)) % 0.48/0.69 (define @t56 () (tptp.pidMsg @t14)) % 0.48/0.69 (define @t57 () (and (tptp.elem @t13 @t5) @t54 (tptp.pidElem @t13) (= (tptp.host @t55) (tptp.host @t56)))) % 0.48/0.69 (define @t58 () (tptp.ordered @t5)) % 0.48/0.69 (define @t59 () (@list @t5 @t14 @t13)) % 0.48/0.69 (define @t60 () (tptp.leq @t14 @t13)) % 0.48/0.69 (define @t61 () (tptp.host @t13)) % 0.48/0.69 (define @t62 () (tptp.host @t14)) % 0.48/0.69 (define @t63 () (tptp.s @t14)) % 0.48/0.69 (define @t64 () (tptp.leq @t13 @t14)) % 0.48/0.69 (define @t65 () (tptp.s @t13)) % 0.48/0.69 (define @t66 () (tptp.index tptp.status @t61)) % 0.48/0.69 (define @t67 () (tptp.index tptp.ldr @t61)) % 0.48/0.69 (define @t68 () (tptp.setIn @t13 tptp.alive)) % 0.48/0.69 (define @t69 () (and @t68 (= @t67 @t61) (= @t66 tptp.norm))) % 0.48/0.69 (define @t70 () (not @t69)) % 0.48/0.69 (define @t71 () (@var "Y0" $$unsorted)) % 0.48/0.69 (define @t72 () (tptp.host @t71)) % 0.48/0.69 (define @t73 () (tptp.index tptp.pendack @t72)) % 0.48/0.69 (define @t74 () (tptp.s @t73)) % 0.48/0.69 (define @t75 () (@var "X0" $$unsorted)) % 0.48/0.69 (define @t76 () (tptp.host @t75)) % 0.48/0.69 (define @t77 () (tptp.host @t11)) % 0.48/0.69 (define @t78 () (= @t77 @t73)) % 0.48/0.69 (define @t79 () (tptp.index tptp.status @t72)) % 0.48/0.69 (define @t80 () (tptp.leq tptp.nbr_proc @t74)) % 0.48/0.69 (define @t81 () (@var "W" $$unsorted)) % 0.48/0.69 (define @t82 () (@var "V" $$unsorted)) % 0.48/0.69 (define @t83 () (tptp.snoc @t82 (tptp.m_NotNorm @t81))) % 0.48/0.69 (define @t84 () (tptp.elem (tptp.m_Ack @t71 @t11) @t83)) % 0.48/0.69 (define @t85 () (tptp.elem (tptp.m_Down @t75) @t83)) % 0.48/0.69 (define @t86 () (tptp.setIn @t71 tptp.alive)) % 0.48/0.69 (define @t87 () (and @t86 @t85 @t84 @t80 (= @t79 tptp.elec_2) @t78 (= @t76 @t74))) % 0.48/0.69 (define @t88 () (=> @t87 @t70)) % 0.48/0.69 (define @t89 () (= @t62 @t72)) % 0.48/0.69 (define @t90 () (=> @t89 @t88)) % 0.48/0.69 (define @t91 () (tptp.host @t81)) % 0.48/0.69 (define @t92 () (=> (= @t91 @t72) @t90)) % 0.48/0.69 (define @t93 () (@list @t13 @t11 @t75 @t71)) % 0.48/0.69 (define @t94 () (forall @t93 @t92)) % 0.48/0.69 (define @t95 () (tptp.index tptp.status @t62)) % 0.48/0.69 (define @t96 () (not (= @t95 tptp.norm))) % 0.48/0.69 (define @t97 () (=> @t96 @t94)) % 0.48/0.69 (define @t98 () (tptp.setIn @t14 tptp.alive)) % 0.48/0.69 (define @t99 () (=> @t98 @t97)) % 0.48/0.69 (define @t100 () (= (tptp.queue @t62) (tptp.cons (tptp.m_NormQ @t81) @t82))) % 0.48/0.69 (define @t101 () (@var "Pid0" $$unsorted)) % 0.48/0.69 (define @t102 () (tptp.host @t101)) % 0.48/0.69 (define @t103 () (tptp.index tptp.pendack @t102)) % 0.48/0.69 (define @t104 () (tptp.s @t103)) % 0.48/0.69 (define @t105 () (@var "Pid20" $$unsorted)) % 0.48/0.69 (define @t106 () (tptp.host @t105)) % 0.48/0.69 (define @t107 () (= @t106 @t104)) % 0.48/0.69 (define @t108 () (= @t77 @t103)) % 0.48/0.69 (define @t109 () (tptp.index tptp.status @t102)) % 0.48/0.69 (define @t110 () (= @t109 tptp.elec_2)) % 0.48/0.69 (define @t111 () (tptp.leq tptp.nbr_proc @t104)) % 0.48/0.69 (define @t112 () (tptp.queue @t102)) % 0.48/0.69 (define @t113 () (tptp.elem (tptp.m_Down @t105) @t112)) % 0.48/0.69 (define @t114 () (tptp.elem (tptp.m_Ack @t101 @t11) @t112)) % 0.48/0.69 (define @t115 () (tptp.setIn @t101 tptp.alive)) % 0.48/0.69 (define @t116 () (and @t115 @t114 @t113 @t111 @t110 @t108 @t107)) % 0.48/0.69 (define @t117 () (=> @t116 @t70)) % 0.48/0.69 (define @t118 () (@list @t13 @t11 @t105 @t101)) % 0.48/0.69 (define @t119 () (forall @t118 @t117)) % 0.48/0.69 (define @t120 () (tptp.queue @t61)) % 0.48/0.69 (define @t121 () (tptp.elem @t17 @t120)) % 0.48/0.69 (define @t122 () (not (and @t68 @t121))) % 0.48/0.69 (define @t123 () (= @t102 @t77)) % 0.48/0.69 (define @t124 () (@var "V0" $$unsorted)) % 0.48/0.69 (define @t125 () (= @t124 @t106)) % 0.48/0.69 (define @t126 () (tptp.setIn @t124 (tptp.index tptp.down @t102))) % 0.48/0.69 (define @t127 () (or @t126 @t125)) % 0.48/0.69 (define @t128 () (tptp.leq @t9 @t124)) % 0.48/0.69 (define @t129 () (tptp.leq @t102 @t124)) % 0.48/0.69 (define @t130 () (not @t129)) % 0.48/0.69 (define @t131 () (and @t130 @t128)) % 0.48/0.69 (define @t132 () (@list @t124)) % 0.48/0.69 (define @t133 () (forall @t132 (=> @t131 @t127))) % 0.48/0.69 (define @t134 () (and @t133 @t113 @t123 (= @t102 tptp.nbr_proc) (= @t109 tptp.elec_1))) % 0.48/0.69 (define @t135 () (=> @t134 @t122)) % 0.48/0.69 (define @t136 () (forall @t118 @t135)) % 0.48/0.69 (define @t137 () (tptp.queue @t77)) % 0.48/0.69 (define @t138 () (tptp.elem (tptp.m_Halt @t101) @t137)) % 0.48/0.69 (define @t139 () (tptp.leq @t103 @t61)) % 0.48/0.69 (define @t140 () (not @t139)) % 0.48/0.69 (define @t141 () (and @t140 @t115 @t138 @t110)) % 0.48/0.69 (define @t142 () (=> @t141 @t70)) % 0.48/0.69 (define @t143 () (@list @t13 @t11 @t101)) % 0.48/0.69 (define @t144 () (forall @t143 @t142)) % 0.48/0.69 (define @t145 () (tptp.index tptp.pendack @t77)) % 0.48/0.69 (define @t146 () (not (tptp.leq (tptp.index tptp.pendack @t61) @t145))) % 0.48/0.69 (define @t147 () (tptp.index tptp.status @t77)) % 0.48/0.69 (define @t148 () (= @t66 tptp.elec_2)) % 0.48/0.69 (define @t149 () (tptp.setIn @t11 tptp.alive)) % 0.48/0.69 (define @t150 () (tptp.leq @t61 @t77)) % 0.48/0.69 (define @t151 () (not @t150)) % 0.48/0.69 (define @t152 () (and @t151 @t68 @t149 @t148 (= @t147 tptp.elec_2))) % 0.48/0.69 (define @t153 () (=> @t152 @t146)) % 0.48/0.69 (define @t154 () (@list @t13 @t11)) % 0.48/0.69 (define @t155 () (forall @t154 @t153)) % 0.48/0.69 (define @t156 () (not (tptp.elem (tptp.m_Ack @t13 @t11) @t120))) % 0.48/0.69 (define @t157 () (and @t68 @t115 @t123 @t148 @t110)) % 0.48/0.69 (define @t158 () (=> @t157 @t156)) % 0.48/0.69 (define @t159 () (forall @t143 @t158)) % 0.48/0.69 (define @t160 () (= @t77 @t61)) % 0.48/0.69 (define @t161 () (tptp.elem @t17 @t112)) % 0.48/0.69 (define @t162 () (and @t115 @t161 @t160)) % 0.48/0.69 (define @t163 () (=> @t162 @t70)) % 0.48/0.69 (define @t164 () (forall @t143 @t163)) % 0.48/0.69 (define @t165 () (tptp.leq @t145 @t61)) % 0.48/0.69 (define @t166 () (=> @t152 @t165)) % 0.48/0.69 (define @t167 () (forall @t154 @t166)) % 0.48/0.69 (define @t168 () (tptp.index tptp.elid @t61)) % 0.48/0.69 (define @t169 () (or (= @t66 tptp.elec_1) @t148)) % 0.48/0.69 (define @t170 () (and @t169 @t68)) % 0.48/0.69 (define @t171 () (=> @t170 (= @t168 @t13))) % 0.48/0.69 (define @t172 () (forall @t53 @t171)) % 0.48/0.69 (define @t173 () (tptp.elem (tptp.m_Ack @t11 @t13) @t137)) % 0.48/0.69 (define @t174 () (not @t173)) % 0.48/0.69 (define @t175 () (and @t149 (= @t147 tptp.elec_1))) % 0.48/0.69 (define @t176 () (=> @t175 @t174)) % 0.48/0.69 (define @t177 () (forall @t154 @t176)) % 0.48/0.69 (define @t178 () (tptp.leq @t61 @t145)) % 0.48/0.69 (define @t179 () (and @t149 @t173)) % 0.48/0.69 (define @t180 () (forall @t154 (=> @t179 @t178))) % 0.48/0.69 (define @t181 () (not @t149)) % 0.48/0.69 (define @t182 () (not @t68)) % 0.48/0.69 (define @t183 () (or @t182 @t181)) % 0.48/0.69 (define @t184 () (not (= @t11 @t13))) % 0.48/0.69 (define @t185 () (and @t184 @t160)) % 0.48/0.69 (define @t186 () (=> @t185 @t183)) % 0.48/0.69 (define @t187 () (forall @t154 @t186)) % 0.48/0.69 (define @t188 () (not (tptp.leq @t61 @t102))) % 0.48/0.69 (define @t189 () (tptp.elem (tptp.m_Ack @t101 @t13) @t137)) % 0.48/0.69 (define @t190 () (forall @t143 (=> @t189 @t188))) % 0.48/0.69 (define @t191 () (tptp.elem @t12 @t120)) % 0.48/0.69 (define @t192 () (forall @t154 (=> @t191 @t151))) % 0.48/0.69 (define @t193 () (not @t160)) % 0.48/0.69 (define @t194 () (=> @t121 @t193)) % 0.48/0.69 (define @t195 () (forall @t154 @t194)) % 0.48/0.69 (define @t196 () (tptp.elem @t19 @t120)) % 0.48/0.69 (define @t197 () (forall @t154 (=> @t196 @t151))) % 0.48/0.69 (define @t198 () (and @t197 @t195 @t192 @t190 @t187 @t180 @t177 @t172 @t167 @t164 @t159 @t155 @t144 @t136 @t119 @t100)) % 0.48/0.69 (define @t199 () (=> @t198 @t99)) % 0.48/0.69 (define @t200 () (@list @t82 @t81 @t14)) % 0.48/0.69 (define @t201 () (forall @t200 @t199)) % 0.48/0.69 (define @t202 () (not @t201)) % 0.48/0.69 (define @t203 () (@var "BOUND_VARIABLE_8326" $$unsorted)) % 0.48/0.69 (define @t204 () (@var "BOUND_VARIABLE_8328" $$unsorted)) % 0.48/0.69 (define @t205 () (tptp.host @t204)) % 0.48/0.69 (define @t206 () (tptp.index tptp.pendack @t205)) % 0.48/0.69 (define @t207 () (tptp.s @t206)) % 0.48/0.69 (define @t208 () (not (= @t207 (tptp.host @t203)))) % 0.48/0.69 (define @t209 () (@var "BOUND_VARIABLE_8324" $$unsorted)) % 0.48/0.69 (define @t210 () (tptp.host @t209)) % 0.48/0.69 (define @t211 () (not (= @t210 @t206))) % 0.48/0.69 (define @t212 () (not (= tptp.elec_2 (tptp.index tptp.status @t205)))) % 0.48/0.69 (define @t213 () (not (tptp.leq tptp.nbr_proc @t207))) % 0.48/0.69 (define @t214 () (not (tptp.elem (tptp.m_Ack @t204 @t209) @t83))) % 0.48/0.69 (define @t215 () (not (tptp.setIn @t204 tptp.alive))) % 0.48/0.69 (define @t216 () (not (= @t62 @t205))) % 0.48/0.69 (define @t217 () (not (= @t205 @t91))) % 0.48/0.69 (define @t218 () (not (tptp.elem (tptp.m_Down @t203) @t83))) % 0.48/0.69 (define @t219 () (= tptp.norm @t95)) % 0.48/0.69 (define @t220 () (not @t98)) % 0.48/0.69 (define @t221 () (not @t100)) % 0.48/0.69 (define @t222 () (or @t221 @t220 @t219 @t218 @t217 @t216 @t215 @t214 @t213 @t212 @t211 @t208)) % 0.48/0.69 (define @t223 () (or @t218 @t217 @t216 @t215 @t214 @t213 @t212 @t211 @t208)) % 0.48/0.69 (define @t224 () (or @t221 @t220 @t219 @t223)) % 0.48/0.69 (define @t225 () (@list @t82 @t81 @t14 @t209 @t203 @t204)) % 0.48/0.69 (define @t226 () (forall @t225 @t224)) % 0.48/0.69 (define @t227 () (@list @t209 @t203 @t204)) % 0.48/0.69 (define @t228 () (forall @t227 @t224)) % 0.48/0.69 (define @t229 () (forall @t227 @t223)) % 0.48/0.69 (define @t230 () (or @t221 @t220 @t219 @t229)) % 0.48/0.69 (define @t231 () (= @t74 @t76)) % 0.48/0.69 (define @t232 () (not @t231)) % 0.48/0.69 (define @t233 () (not @t78)) % 0.48/0.69 (define @t234 () (= tptp.elec_2 @t79)) % 0.48/0.69 (define @t235 () (not @t234)) % 0.48/0.69 (define @t236 () (not @t80)) % 0.48/0.69 (define @t237 () (not @t84)) % 0.48/0.69 (define @t238 () (not @t86)) % 0.48/0.69 (define @t239 () (not @t89)) % 0.48/0.69 (define @t240 () (= @t72 @t91)) % 0.48/0.69 (define @t241 () (not @t240)) % 0.48/0.69 (define @t242 () (not @t85)) % 0.48/0.69 (define @t243 () (or @t242 @t241 @t239 @t238 @t237 @t236 @t235 @t233 @t232)) % 0.48/0.69 (define @t244 () (forall (@list @t11 @t75 @t71) @t243)) % 0.48/0.69 (define @t245 () (or @t221 @t220 @t219 @t244)) % 0.48/0.69 (define @t246 () (forall @t200 @t245)) % 0.48/0.69 (define @t247 () (= tptp.norm @t66)) % 0.48/0.69 (define @t248 () (not @t247)) % 0.48/0.69 (define @t249 () (= @t61 @t67)) % 0.48/0.69 (define @t250 () (not @t249)) % 0.48/0.69 (define @t251 () (or @t182 @t250 @t248)) % 0.48/0.69 (define @t252 () (forall @t53 @t251)) % 0.48/0.69 (define @t253 () (not @t252)) % 0.48/0.69 (define @t254 () (not @t107)) % 0.48/0.69 (define @t255 () (not @t108)) % 0.48/0.69 (define @t256 () (= tptp.elec_2 @t109)) % 0.48/0.69 (define @t257 () (not @t256)) % 0.48/0.69 (define @t258 () (not @t111)) % 0.48/0.69 (define @t259 () (not @t113)) % 0.48/0.69 (define @t260 () (not @t114)) % 0.48/0.69 (define @t261 () (not @t115)) % 0.48/0.69 (define @t262 () (or @t261 @t260 @t259 @t258 @t257 @t255 @t254)) % 0.48/0.69 (define @t263 () (forall (@list @t11 @t105 @t101) @t262)) % 0.48/0.69 (define @t264 () (not @t263)) % 0.48/0.69 (define @t265 () (and @t264 @t253)) % 0.48/0.69 (define @t266 () (not @t121)) % 0.48/0.69 (define @t267 () (= tptp.elec_1 @t109)) % 0.48/0.69 (define @t268 () (not @t267)) % 0.48/0.69 (define @t269 () (= tptp.nbr_proc @t102)) % 0.48/0.69 (define @t270 () (not @t269)) % 0.48/0.69 (define @t271 () (= @t77 @t102)) % 0.48/0.69 (define @t272 () (not @t271)) % 0.48/0.69 (define @t273 () (not @t128)) % 0.48/0.69 (define @t274 () (or @t129 @t273 @t126 @t125)) % 0.48/0.69 (define @t275 () (forall @t132 @t274)) % 0.48/0.69 (define @t276 () (not @t275)) % 0.48/0.69 (define @t277 () (or @t276 @t259 @t272 @t270 @t268 @t182 @t266)) % 0.48/0.69 (define @t278 () (forall @t118 @t277)) % 0.48/0.69 (define @t279 () (not @t278)) % 0.48/0.69 (define @t280 () (not @t138)) % 0.48/0.69 (define @t281 () (or @t139 @t261 @t280 @t257 @t182 @t250 @t248)) % 0.48/0.69 (define @t282 () (forall @t143 @t281)) % 0.48/0.69 (define @t283 () (not @t282)) % 0.48/0.69 (define @t284 () (= tptp.elec_2 @t147)) % 0.48/0.69 (define @t285 () (not @t284)) % 0.48/0.69 (define @t286 () (= tptp.elec_2 @t66)) % 0.48/0.69 (define @t287 () (not @t286)) % 0.48/0.69 (define @t288 () (or @t150 @t182 @t181 @t287 @t285 @t146)) % 0.48/0.69 (define @t289 () (forall @t154 @t288)) % 0.48/0.69 (define @t290 () (not @t289)) % 0.48/0.69 (define @t291 () (or @t182 @t261 @t272 @t287 @t257 @t156)) % 0.48/0.69 (define @t292 () (forall @t143 @t291)) % 0.48/0.69 (define @t293 () (not @t292)) % 0.48/0.69 (define @t294 () (= @t61 @t77)) % 0.48/0.69 (define @t295 () (not @t294)) % 0.48/0.69 (define @t296 () (not @t161)) % 0.48/0.69 (define @t297 () (or @t261 @t296 @t295 @t182 @t250 @t248)) % 0.48/0.69 (define @t298 () (forall @t143 @t297)) % 0.48/0.69 (define @t299 () (not @t298)) % 0.48/0.69 (define @t300 () (or @t150 @t182 @t181 @t287 @t285 @t165)) % 0.48/0.69 (define @t301 () (forall @t154 @t300)) % 0.48/0.69 (define @t302 () (not @t301)) % 0.48/0.69 (define @t303 () (= @t13 @t168)) % 0.48/0.69 (define @t304 () (= tptp.elec_1 @t66)) % 0.48/0.69 (define @t305 () (and (not @t304) @t287)) % 0.48/0.69 (define @t306 () (or @t305 @t182 @t303)) % 0.48/0.69 (define @t307 () (forall @t53 @t306)) % 0.48/0.69 (define @t308 () (not @t307)) % 0.48/0.69 (define @t309 () (= tptp.elec_1 @t147)) % 0.48/0.69 (define @t310 () (not @t309)) % 0.48/0.69 (define @t311 () (or @t181 @t310 @t174)) % 0.48/0.69 (define @t312 () (forall @t154 @t311)) % 0.48/0.69 (define @t313 () (not @t312)) % 0.48/0.69 (define @t314 () (or @t181 @t174 @t178)) % 0.48/0.69 (define @t315 () (forall @t154 @t314)) % 0.48/0.69 (define @t316 () (not @t315)) % 0.48/0.69 (define @t317 () (= @t13 @t11)) % 0.48/0.69 (define @t318 () (or @t317 @t295 @t182 @t181)) % 0.48/0.69 (define @t319 () (forall @t154 @t318)) % 0.48/0.69 (define @t320 () (not @t319)) % 0.48/0.69 (define @t321 () (forall @t143 (or (not @t189) @t188))) % 0.48/0.69 (define @t322 () (not @t321)) % 0.48/0.69 (define @t323 () (forall @t154 (or (not @t191) @t151))) % 0.48/0.69 (define @t324 () (not @t323)) % 0.48/0.69 (define @t325 () (forall @t154 (or @t266 @t295))) % 0.48/0.69 (define @t326 () (not @t325)) % 0.48/0.69 (define @t327 () (forall @t154 (or (not @t196) @t151))) % 0.48/0.69 (define @t328 () (not @t327)) % 0.48/0.69 (define @t329 () (or @t328 @t326 @t324 @t322 @t320 @t316 @t313 @t308 @t302 @t299 @t293 @t290 @t283 @t279 @t265 @t252 @t246)) % 0.48/0.69 (define @t330 () (or @t328 @t326 @t324 @t322 @t320 @t316 @t313 @t308 @t302 @t299 @t293 @t290 @t283 @t279 @t265 @t252 @t245)) % 0.48/0.69 (define @t331 () (or @t328 @t326 @t324 @t322 @t320 @t316 @t313 @t308 @t302 @t299 @t293 @t290 @t283 @t279 @t265 @t221 @t220 @t219 @t244 @t252)) % 0.48/0.69 (define @t332 () (or @t220 @t219 @t244 @t252)) % 0.48/0.69 (define @t333 () (or @t219 @t244 @t252)) % 0.48/0.69 (define @t334 () (or @t244 @t252)) % 0.48/0.69 (define @t335 () (not @t219)) % 0.48/0.69 (define @t336 () (=> @t335 @t334)) % 0.48/0.69 (define @t337 () (or @t263 @t252)) % 0.48/0.69 (define @t338 () (not @t337)) % 0.48/0.69 (define @t339 () (or @t328 @t326 @t324 @t322 @t320 @t316 @t313 @t308 @t302 @t299 @t293 @t290 @t283 @t279 @t338 @t221)) % 0.48/0.69 (define @t340 () (=> @t98 @t336)) % 0.48/0.69 (define @t341 () (and @t327 @t325 @t323 @t321 @t319 @t315 @t312 @t307 @t301 @t298 @t292 @t289 @t282 @t278 @t337 @t100)) % 0.48/0.69 (define @t342 () (or @t243 @t251)) % 0.48/0.69 (define @t343 () (@list @t11 @t75 @t71 @t13)) % 0.48/0.69 (define @t344 () (or @t241 @t239 @t238 @t242 @t237 @t236 @t235 @t233 @t232 @t182 @t250 @t248)) % 0.48/0.69 (define @t345 () (forall @t343 @t344)) % 0.48/0.69 (define @t346 () (or @t239 @t238 @t242 @t237 @t236 @t235 @t233 @t232 @t182 @t250 @t248)) % 0.48/0.69 (define @t347 () (or @t238 @t242 @t237 @t236 @t235 @t233 @t232 @t182 @t250 @t248)) % 0.48/0.69 (define @t348 () (or @t238 @t242 @t237 @t236 @t235 @t233 @t232)) % 0.48/0.69 (define @t349 () (not (and @t68 @t249 @t247))) % 0.48/0.69 (define @t350 () (and @t86 @t85 @t84 @t80 @t234 @t78 @t231)) % 0.48/0.69 (define @t351 () (=> @t350 @t349)) % 0.48/0.69 (define @t352 () (=> @t89 @t351)) % 0.48/0.69 (define @t353 () (or @t262 @t251)) % 0.48/0.69 (define @t354 () (@list @t11 @t105 @t101 @t13)) % 0.48/0.69 (define @t355 () (or @t261 @t260 @t259 @t258 @t257 @t255 @t254 @t182 @t250 @t248)) % 0.48/0.69 (define @t356 () (forall @t354 @t355)) % 0.48/0.69 (define @t357 () (and @t115 @t114 @t113 @t111 @t256 @t108 @t107)) % 0.48/0.69 (define @t358 () (or @t276 @t259 @t272 @t270 @t268)) % 0.48/0.69 (define @t359 () (and @t275 @t113 @t271 @t269 @t267)) % 0.48/0.69 (define @t360 () (not @t140)) % 0.48/0.69 (define @t361 () (or @t360 @t261 @t280 @t257)) % 0.48/0.69 (define @t362 () (and @t140 @t115 @t138 @t256)) % 0.48/0.69 (define @t363 () (or @t150 @t182 @t181 @t287 @t285)) % 0.48/0.69 (define @t364 () (not @t151)) % 0.48/0.69 (define @t365 () (or @t364 @t182 @t181 @t287 @t285)) % 0.48/0.69 (define @t366 () (and @t151 @t68 @t149 @t286 @t284)) % 0.48/0.69 (define @t367 () (not @t366)) % 0.48/0.69 (define @t368 () (or @t182 @t261 @t272 @t287 @t257)) % 0.48/0.69 (define @t369 () (and @t68 @t115 @t271 @t286 @t256)) % 0.48/0.69 (define @t370 () (or @t261 @t296 @t295)) % 0.48/0.69 (define @t371 () (and @t115 @t161 @t294)) % 0.48/0.69 (define @t372 () (or @t304 @t286)) % 0.48/0.69 (define @t373 () (and @t372 @t68)) % 0.48/0.69 (define @t374 () (and @t149 @t309)) % 0.48/0.69 (define @t375 () (not @t317)) % 0.48/0.69 (define @t376 () (and @t375 @t294)) % 0.48/0.69 (define @t377 () (forall @t225 (or @t221 @t220 @t219 @t218 (not (= @t91 @t205)) @t216 @t215 @t214 @t213 @t212 (not (= @t206 @t210)) @t208))) % 0.48/0.69 (define @t378 () (@quantifiers_skolemize @t377 5)) % 0.48/0.69 (define @t379 () (tptp.setIn @t378 tptp.alive)) % 0.48/0.69 (define @t380 () (@quantifiers_skolemize @t377 4)) % 0.48/0.69 (define @t381 () (tptp.host @t380)) % 0.48/0.69 (define @t382 () (tptp.host @t378)) % 0.48/0.69 (define @t383 () (tptp.index tptp.pendack @t382)) % 0.48/0.69 (define @t384 () (tptp.s @t383)) % 0.48/0.69 (define @t385 () (= @t384 @t381)) % 0.48/0.69 (define @t386 () (not @t385)) % 0.48/0.69 (define @t387 () (@quantifiers_skolemize @t377 3)) % 0.48/0.69 (define @t388 () (tptp.host @t387)) % 0.48/0.69 (define @t389 () (= @t383 @t388)) % 0.48/0.69 (define @t390 () (not @t389)) % 0.48/0.69 (define @t391 () (= tptp.elec_2 (tptp.index tptp.status @t382))) % 0.48/0.69 (define @t392 () (not @t391)) % 0.48/0.69 (define @t393 () (tptp.leq tptp.nbr_proc @t384)) % 0.48/0.69 (define @t394 () (not @t393)) % 0.48/0.69 (define @t395 () (@quantifiers_skolemize @t377 1)) % 0.48/0.69 (define @t396 () (tptp.m_NotNorm @t395)) % 0.48/0.69 (define @t397 () (@quantifiers_skolemize @t377 0)) % 0.48/0.69 (define @t398 () (tptp.snoc @t397 @t396)) % 0.48/0.69 (define @t399 () (tptp.m_Ack @t378 @t387)) % 0.48/0.69 (define @t400 () (tptp.elem @t399 @t398)) % 0.48/0.69 (define @t401 () (not @t400)) % 0.48/0.69 (define @t402 () (not @t379)) % 0.48/0.69 (define @t403 () (@quantifiers_skolemize @t377 2)) % 0.48/0.69 (define @t404 () (tptp.host @t403)) % 0.48/0.69 (define @t405 () (= @t404 @t382)) % 0.48/0.69 (define @t406 () (not @t405)) % 0.48/0.69 (define @t407 () (tptp.m_Down @t380)) % 0.48/0.69 (define @t408 () (tptp.elem @t407 @t398)) % 0.48/0.69 (define @t409 () (not @t408)) % 0.48/0.69 (define @t410 () (tptp.m_NormQ @t395)) % 0.48/0.69 (define @t411 () (tptp.cons @t410 @t397)) % 0.48/0.69 (define @t412 () (= (tptp.queue @t404) @t411)) % 0.48/0.69 (define @t413 () (not @t412)) % 0.48/0.69 (define @t414 () (or @t413 (not (tptp.setIn @t403 tptp.alive)) (= tptp.norm (tptp.index tptp.status @t404)) @t409 (not (= (tptp.host @t395) @t382)) @t406 @t402 @t401 @t394 @t392 @t390 @t386)) % 0.48/0.69 (define @t415 () (@list true)) % 0.48/0.69 (define @t416 () (@list @t414)) % 0.48/0.69 (define @t417 () (not (= @t381 @t384))) % 0.48/0.69 (define @t418 () (not (= @t388 @t383))) % 0.48/0.69 (define @t419 () (tptp.queue @t382)) % 0.48/0.69 (define @t420 () (tptp.elem @t407 @t419)) % 0.48/0.69 (define @t421 () (not @t420)) % 0.48/0.69 (define @t422 () (tptp.elem @t399 @t419)) % 0.48/0.69 (define @t423 () (not @t422)) % 0.48/0.69 (define @t424 () (or @t402 @t423 @t421 @t394 @t392 @t418 @t417)) % 0.48/0.69 (define @t425 () (or @t402 @t423 @t421 @t394 @t392 @t390 @t386)) % 0.48/0.69 (define @t426 () (@list false)) % 0.48/0.69 (define @t427 () (tptp.elem @t399 @t397)) % 0.48/0.69 (define @t428 () (or (= @t399 @t410) @t427)) % 0.48/0.69 (define @t429 () (tptp.elem @t399 @t411)) % 0.48/0.69 (define @t430 () (= @t429 @t428)) % 0.48/0.69 (define @t431 () (or (= @t410 @t399) @t427)) % 0.48/0.69 (define @t432 () (= @t429 @t431)) % 0.48/0.69 (define @t433 () (@list @t50)) % 0.48/0.69 (define @t434 () (= @t399 @t396)) % 0.48/0.69 (define @t435 () (or @t434 @t427)) % 0.48/0.69 (define @t436 () (forall @t48 (= @t49 @t51))) % 0.48/0.69 (define @t437 () (= @t435 @t400)) % 0.48/0.69 (define @t438 () (= @t396 @t399)) % 0.48/0.69 (define @t439 () (or @t438 @t427)) % 0.48/0.69 (define @t440 () (= @t400 @t439)) % 0.48/0.69 (define @t441 () (@list @t436)) % 0.48/0.69 (define @t442 () (@list false false)) % 0.48/0.69 (define @t443 () (not @t434)) % 0.48/0.69 (define @t444 () (@list true false)) % 0.48/0.69 (define @t445 () (tptp.elem @t407 @t397)) % 0.48/0.69 (define @t446 () (or (= @t407 @t410) @t445)) % 0.48/0.69 (define @t447 () (tptp.elem @t407 @t411)) % 0.48/0.69 (define @t448 () (= @t447 @t446)) % 0.48/0.69 (define @t449 () (or (= @t410 @t407) @t445)) % 0.48/0.69 (define @t450 () (= @t447 @t449)) % 0.48/0.69 (define @t451 () (= @t407 @t396)) % 0.48/0.69 (define @t452 () (or @t451 @t445)) % 0.48/0.69 (define @t453 () (= @t452 @t408)) % 0.48/0.69 (define @t454 () (= @t408 @t452)) % 0.48/0.69 (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))))) % 0.48/0.69 (assume @p2 (forall (@list @t7 @t5) (=> (= (tptp.s @t8) @t6) (not (= @t8 @t6))))) % 0.48/0.69 (assume @p3 (forall @t10 (tptp.leq @t9 @t8))) % 0.48/0.69 (assume @p4 (tptp.leq @t9 tptp.nbr_proc)) % 0.48/0.69 (assume @p5 (forall @t10 (tptp.leq @t8 tptp.nbr_proc))) % 0.48/0.69 (assume @p6 (not (= tptp.elec_1 tptp.elec_2))) % 0.48/0.69 (assume @p7 (not (= tptp.elec_1 tptp.wait))) % 0.48/0.69 (assume @p8 (not (= tptp.elec_1 tptp.norm))) % 0.48/0.69 (assume @p9 (not (= tptp.elec_2 tptp.wait))) % 0.48/0.69 (assume @p10 (not (= tptp.elec_2 tptp.norm))) % 0.48/0.69 (assume @p11 (not (= tptp.norm tptp.wait))) % 0.48/0.69 (assume @p12 (forall @t16 (not (= @t15 @t12)))) % 0.48/0.69 (assume @p13 (forall @t16 (not (= @t15 @t17)))) % 0.48/0.69 (assume @p14 @t18) % 0.48/0.69 (assume @p15 (forall @t16 (not (= @t15 @t19)))) % 0.48/0.69 (assume @p16 (forall @t16 (not (= @t15 (tptp.m_NormQ @t11))))) % 0.48/0.69 (assume @p17 (forall @t22 (not (= @t21 @t20)))) % 0.48/0.69 (assume @p18 (forall @t22 (not (= @t23 @t20)))) % 0.48/0.69 (assume @p19 (forall @t22 (not (= @t23 @t24)))) % 0.48/0.69 (assume @p20 (forall @t22 (not (= @t23 @t25)))) % 0.48/0.69 (assume @p21 (forall @t22 (not (= @t23 @t26)))) % 0.48/0.69 (assume @p22 (forall @t22 (not (= @t27 @t20)))) % 0.48/0.69 (assume @p23 (forall @t22 (not (= @t28 @t20)))) % 0.48/0.69 (assume @p24 (forall @t22 (not (= @t28 @t26)))) % 0.48/0.69 (assume @p25 (forall @t22 (not (= @t28 @t25)))) % 0.48/0.69 (assume @p26 (forall @t22 (not (= @t27 @t25)))) % 0.48/0.69 (assume @p27 (forall @t22 (= @t31 (not (= @t29 @t20))))) % 0.48/0.69 (assume @p28 (forall @t22 (= @t31 (not (= @t27 @t26))))) % 0.48/0.69 (assume @p29 (forall @t22 (= @t31 (not (= @t21 @t25))))) % 0.48/0.69 (assume @p30 (forall @t22 (= @t31 (not (= @t28 @t24))))) % 0.48/0.69 (assume @p31 (forall @t22 (= @t31 (not (= @t23 @t32))))) % 0.48/0.69 (assume @p32 (forall @t38 (=> (not (= @t36 @t34)) @t37))) % 0.48/0.69 (assume @p33 (forall @t38 (=> (not (= @t35 @t33)) @t37))) % 0.48/0.69 (assume @p34 (forall @t4 (=> (not (= @t3 (tptp.host @t1))) (not (= @t2 @t1))))) % 0.48/0.69 (assume @p35 (not (tptp.setIn tptp.nil tptp.alive))) % 0.48/0.69 (assume @p36 (forall @t40 (= (tptp.head @t39) @t14))) % 0.48/0.69 (assume @p37 (forall @t40 (= (tptp.tail @t39) @t5))) % 0.48/0.69 (assume @p38 (forall @t42 (= (tptp.last @t41) @t13))) % 0.48/0.69 (assume @p39 (forall @t42 (= (tptp.init @t41) @t5))) % 0.48/0.69 (assume @p40 (forall @t44 (or @t43 (= @t5 (tptp.cons (tptp.head @t5) (tptp.tail @t5)))))) % 0.48/0.69 (assume @p41 (forall @t44 (or @t43 (= @t5 (tptp.snoc (tptp.init @t5) (tptp.last @t5)))))) % 0.48/0.69 (assume @p42 (forall @t40 (not (= tptp.q_nil @t39)))) % 0.48/0.69 (assume @p43 (forall @t42 (not (= tptp.q_nil @t41)))) % 0.48/0.69 (assume @p44 (forall @t47 (= @t46 @t45))) % 0.48/0.69 (assume @p45 (forall @t48 (= (tptp.snoc @t39 @t13) (tptp.cons @t14 @t41)))) % 0.48/0.69 (assume @p46 (forall @t47 (not (tptp.elem @t14 tptp.q_nil)))) % 0.48/0.69 (assume @p47 @t50) % 0.48/0.69 (assume @p48 @t52) % 0.48/0.69 (assume @p49 (forall @t47 (= @t54 (exists @t53 (or (= @t14 @t20) (= @t14 @t32)))))) % 0.48/0.69 (assume @p50 (forall @t47 (= (tptp.pidMsg @t29) @t14))) % 0.48/0.69 (assume @p51 (forall @t47 (= (tptp.pidMsg @t23) @t14))) % 0.48/0.69 (assume @p52 (tptp.ordered tptp.q_nil)) % 0.48/0.69 (assume @p53 (forall @t47 (and (tptp.ordered @t46) (tptp.ordered @t45)))) % 0.48/0.69 (assume @p54 (forall @t40 (= (tptp.ordered @t39) (and @t58 (forall @t53 (=> @t57 (tptp.leq @t56 @t55))))))) % 0.48/0.69 (assume @p55 (forall @t40 (= (tptp.ordered (tptp.snoc @t5 @t14)) (and @t58 (forall @t53 (=> @t57 (tptp.leq @t55 @t56))))))) % 0.48/0.69 (assume @p56 (forall @t59 (=> @t58 (tptp.ordered (tptp.snoc @t5 @t15))))) % 0.48/0.69 (assume @p57 (forall (@list @t5 @t14) (=> @t58 (tptp.ordered (tptp.snoc @t5 @t28))))) % 0.48/0.69 (assume @p58 (forall @t59 (=> (and (tptp.ordered (tptp.cons @t29 @t5)) (= @t62 @t61) (tptp.elem @t32 @t5)) @t60))) % 0.48/0.69 (assume @p59 (forall @t47 (not (tptp.leq @t63 @t14)))) % 0.48/0.69 (assume @p60 (forall @t47 (tptp.leq @t14 @t14))) % 0.48/0.69 (assume @p61 (forall @t22 (or @t60 @t64))) % 0.48/0.69 (assume @p62 (forall @t22 (= (and @t60 @t64) @t30))) % 0.48/0.69 (assume @p63 (forall @t16 (=> (and @t60 (tptp.leq @t13 @t11)) (tptp.leq @t14 @t11)))) % 0.48/0.69 (assume @p64 (forall @t22 (= @t60 (tptp.leq @t63 @t65)))) % 0.48/0.69 (assume @p65 (forall @t22 (= (tptp.leq @t14 @t65) (or (= @t14 @t65) @t60)))) % 0.48/0.69 (assume @p66 (forall @t47 (not (tptp.setIn @t14 tptp.setEmpty)))) % 0.48/0.69 (assume @p67 @t202) % 0.48/0.69 (assume @p68 true) % 0.48/0.69 (step @p69 :rule refl :args (@t208)) % 0.48/0.69 (step @p70 :rule eq-symm :args (@t210 @t206)) % 0.48/0.69 (step @p71 :rule cong :premises (@p70) :args (@t211)) % 0.48/0.69 (step @p72 :rule refl :args (@t212)) % 0.48/0.69 (step @p73 :rule refl :args (@t213)) % 0.48/0.69 (step @p74 :rule refl :args (@t214)) % 0.48/0.69 (step @p75 :rule refl :args (@t215)) % 0.48/0.69 (step @p76 :rule refl :args (@t216)) % 0.48/0.69 (step @p77 :rule eq-symm :args (@t205 @t91)) % 0.48/0.69 (step @p78 :rule cong :premises (@p77) :args (@t217)) % 0.48/0.69 (step @p79 :rule refl :args (@t218)) % 0.48/0.69 (step @p80 :rule refl :args (@t219)) % 0.48/0.69 (step @p81 :rule refl :args (@t220)) % 0.48/0.69 (step @p82 :rule refl :args (@t221)) % 0.48/0.69 (step @p83 :rule nary_cong :premises (@p82 @p81 @p80 @p79 @p78 @p76 @p75 @p74 @p73 @p72 @p71 @p69) :args (@t222)) % 0.48/0.69 (step @p84 :rule aci_norm :args ((= @t224 @t222))) % 0.48/0.69 (step @p85 :rule trans :premises (@p84 @p83)) % 0.48/0.69 (step @p86 :rule cong :premises (@p85) :args (@t226)) % 0.48/0.69 (step @p87 :rule quant-merge-prenex :args ((= (forall @t200 @t228) @t226))) % 0.48/0.69 (step @p88 :rule alpha_equiv :args (@t229 (@list @t209 @t203 @t204) (@list @t11 @t75 @t71))) % 0.48/0.69 (step @p89 :rule refl :args (@t219)) % 0.48/0.69 (step @p90 :rule refl :args (@t220)) % 0.48/0.69 (step @p91 :rule refl :args (@t221)) % 0.48/0.69 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p88) :args (@t230)) % 0.48/0.69 (step @p93 :rule quant-miniscope-or :args ((= @t228 @t230))) % 0.48/0.69 (step @p94 :rule trans :premises (@p93 @p92)) % 0.48/0.69 (step @p95 :rule symm :premises (@p94)) % 0.48/0.69 (step @p96 :rule cong :premises (@p95) :args (@t246)) % 0.48/0.69 (step @p97 :rule trans :premises (@p96 @p87)) % 0.48/0.69 (step @p98 :rule trans :premises (@p97 @p86)) % 0.48/0.69 (step @p99 :rule refl :args (@t252)) % 0.48/0.69 (step @p100 :rule refl :args (@t265)) % 0.48/0.69 (step @p101 :rule refl :args (@t279)) % 0.48/0.69 (step @p102 :rule refl :args (@t283)) % 0.48/0.69 (step @p103 :rule refl :args (@t290)) % 0.48/0.69 (step @p104 :rule refl :args (@t293)) % 0.48/0.69 (step @p105 :rule refl :args (@t299)) % 0.48/0.69 (step @p106 :rule refl :args (@t302)) % 0.48/0.69 (step @p107 :rule refl :args (@t308)) % 0.48/0.69 (step @p108 :rule refl :args (@t313)) % 0.48/0.69 (step @p109 :rule refl :args (@t316)) % 0.48/0.69 (step @p110 :rule refl :args (@t320)) % 0.48/0.69 (step @p111 :rule refl :args (@t322)) % 0.48/0.69 (step @p112 :rule refl :args (@t324)) % 0.48/0.69 (step @p113 :rule refl :args (@t326)) % 0.48/0.69 (step @p114 :rule refl :args (@t328)) % 0.48/0.69 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98) :args (@t329)) % 0.48/0.69 (step @p116 :rule quant-miniscope-or :args ((= (forall @t200 @t330) @t329))) % 0.48/0.69 (step @p117 :rule aci_norm :args ((= @t331 @t330))) % 0.48/0.69 (step @p118 :rule cong :premises (@p117) :args ((forall @t200 @t331))) % 0.48/0.69 (step @p119 :rule trans :premises (@p118 @p116)) % 0.48/0.69 (step @p120 :rule trans :premises (@p119 @p115)) % 0.48/0.69 (step @p121 :rule aci_norm :args ((= (or (or @t328 @t326 @t324 @t322 @t320 @t316 @t313 @t308 @t302 @t299 @t293 @t290 @t283 @t279 @t265 @t221) @t332) @t331))) % 0.48/0.69 (step @p122 :rule aci_norm :args ((= (or @t220 @t333) @t332))) % 0.48/0.69 (step @p123 :rule aci_norm :args ((= (or @t219 @t334) @t333))) % 0.48/0.69 (step @p124 :rule refl :args (@t334)) % 0.48/0.69 (step @p125 :rule bool-double-not-elim :args (@t219)) % 0.48/0.69 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or (not @t335) @t334))) % 0.48/0.69 (step @p127 :rule bool-impl-elim :args (@t335 @t334)) % 0.48/0.69 (step @p128 :rule trans :premises (@p127 @p126)) % 0.48/0.69 (step @p129 :rule trans :premises (@p128 @p123)) % 0.48/0.69 (step @p130 :rule nary_cong :premises (@p90 @p129) :args ((or @t220 @t336))) % 0.48/0.69 (step @p131 :rule trans :premises (@p130 @p122)) % 0.48/0.69 (step @p132 :rule bool-impl-elim :args (@t98 @t336)) % 0.48/0.69 (step @p133 :rule trans :premises (@p132 @p131)) % 0.48/0.69 (step @p134 :rule bool-or-de-morgan :args (@t263 @t252 false)) % 0.48/0.69 (step @p135 :rule refl :args (@t279)) % 0.48/0.69 (step @p136 :rule refl :args (@t283)) % 0.48/0.69 (step @p137 :rule refl :args (@t290)) % 0.48/0.69 (step @p138 :rule refl :args (@t293)) % 0.48/0.69 (step @p139 :rule refl :args (@t299)) % 0.48/0.69 (step @p140 :rule refl :args (@t302)) % 0.48/0.69 (step @p141 :rule refl :args (@t308)) % 0.48/0.69 (step @p142 :rule refl :args (@t313)) % 0.48/0.69 (step @p143 :rule refl :args (@t316)) % 0.48/0.69 (step @p144 :rule refl :args (@t320)) % 0.48/0.69 (step @p145 :rule refl :args (@t322)) % 0.48/0.69 (step @p146 :rule refl :args (@t324)) % 0.48/0.69 (step @p147 :rule refl :args (@t326)) % 0.48/0.69 (step @p148 :rule refl :args (@t328)) % 0.48/0.69 (step @p149 :rule nary_cong :premises (@p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p91) :args (@t339)) % 0.48/0.69 (step @p150 :rule aci_norm :args ((= (or @t328 (or @t326 (or @t324 (or @t322 (or @t320 (or @t316 (or @t313 (or @t308 (or @t302 (or @t299 (or @t293 (or @t290 (or @t283 (or @t279 (or @t338 @t221))))))))))))))) @t339))) % 0.48/0.69 (step @p151 :rule bool-and-de-morgan :args (@t337 @t100 true)) % 0.48/0.69 (step @p152 :rule nary_cong :premises (@p135 @p151) :args ((or @t279 (not (and @t337 @t100))))) % 0.48/0.69 (step @p153 :rule bool-and-de-morgan :args (@t278 @t337 (and @t100))) % 0.48/0.69 (step @p154 :rule trans :premises (@p153 @p152)) % 0.48/0.69 (step @p155 :rule nary_cong :premises (@p136 @p154) :args ((or @t283 (not (and @t278 @t337 @t100))))) % 0.48/0.69 (step @p156 :rule bool-and-de-morgan :args (@t282 @t278 (and @t337 @t100))) % 0.48/0.69 (step @p157 :rule trans :premises (@p156 @p155)) % 0.48/0.69 (step @p158 :rule nary_cong :premises (@p137 @p157) :args ((or @t290 (not (and @t282 @t278 @t337 @t100))))) % 0.48/0.69 (step @p159 :rule bool-and-de-morgan :args (@t289 @t282 (and @t278 @t337 @t100))) % 0.48/0.69 (step @p160 :rule trans :premises (@p159 @p158)) % 0.48/0.69 (step @p161 :rule nary_cong :premises (@p138 @p160) :args ((or @t293 (not (and @t289 @t282 @t278 @t337 @t100))))) % 0.48/0.69 (step @p162 :rule bool-and-de-morgan :args (@t292 @t289 (and @t282 @t278 @t337 @t100))) % 0.48/0.69 (step @p163 :rule trans :premises (@p162 @p161)) % 0.48/0.69 (step @p164 :rule nary_cong :premises (@p139 @p163) :args ((or @t299 (not (and @t292 @t289 @t282 @t278 @t337 @t100))))) % 0.48/0.69 (step @p165 :rule bool-and-de-morgan :args (@t298 @t292 (and @t289 @t282 @t278 @t337 @t100))) % 0.48/0.69 (step @p166 :rule trans :premises (@p165 @p164)) % 0.48/0.69 (step @p167 :rule nary_cong :premises (@p140 @p166) :args ((or @t302 (not (and @t298 @t292 @t289 @t282 @t278 @t337 @t100))))) % 0.48/0.69 (step @p168 :rule bool-and-de-morgan :args (@t301 @t298 (and @t292 @t289 @t282 @t278 @t337 @t100))) % 0.48/0.69 (step @p169 :rule trans :premises (@p168 @p167)) % 0.48/0.69 (step @p170 :rule nary_cong :premises (@p141 @p169) :args ((or @t308 (not (and @t301 @t298 @t292 @t289 @t282 @t278 @t337 @t100))))) % 0.48/0.69 (step @p171 :rule bool-and-de-morgan :args (@t307 @t301 (and @t298 @t292 @t289 @t282 @t278 @t337 @t100))) % 0.48/0.69 (step @p172 :rule trans :premises (@p171 @p170)) % 0.48/0.69 (step @p173 :rule nary_cong :premises (@p142 @p172) :args ((or @t313 (not (and @t307 @t301 @t298 @t292 @t289 @t282 @t278 @t337 @t100))))) % 0.48/0.69 (step @p174 :rule bool-and-de-morgan :args (@t312 @t307 (and @t301 @t298 @t292 @t289 @t282 @t278 @t337 @t100))) % 0.48/0.69 (step @p175 :rule trans :premises (@p174 @p173)) % 0.48/0.69 (step @p176 :rule nary_cong :premises (@p143 @p175) :args ((or @t316 (not (and @t312 @t307 @t301 @t298 @t292 @t289 @t282 @t278 @t337 @t100))))) % 0.48/0.69 (step @p177 :rule bool-and-de-morgan :args (@t315 @t312 (and @t307 @t301 @t298 @t292 @t289 @t282 @t278 @t337 @t100))) % 0.48/0.69 (step @p178 :rule trans :premises (@p177 @p176)) % 0.48/0.69 (step @p179 :rule nary_cong :premises (@p144 @p178) :args ((or @t320 (not (and @t315 @t312 @t307 @t301 @t298 @t292 @t289 @t282 @t278 @t337 @t100))))) % 0.48/0.69 (step @p180 :rule bool-and-de-morgan :args (@t319 @t315 (and @t312 @t307 @t301 @t298 @t292 @t289 @t282 @t278 @t337 @t100))) % 0.48/0.69 (step @p181 :rule trans :premises (@p180 @p179)) % 0.48/0.69 (step @p182 :rule nary_cong :premises (@p145 @p181) :args ((or @t322 (not (and @t319 @t315 @t312 @t307 @t301 @t298 @t292 @t289 @t282 @t278 @t337 @t100))))) % 0.48/0.69 (step @p183 :rule bool-and-de-morgan :args (@t321 @t319 (and @t315 @t312 @t307 @t301 @t298 @t292 @t289 @t282 @t278 @t337 @t100))) % 0.48/0.69 (step @p184 :rule trans :premises (@p183 @p182)) % 0.48/0.69 (step @p185 :rule nary_cong :premises (@p146 @p184) :args ((or @t324 (not (and @t321 @t319 @t315 @t312 @t307 @t301 @t298 @t292 @t289 @t282 @t278 @t337 @t100))))) % 0.48/0.69 (step @p186 :rule bool-and-de-morgan :args (@t323 @t321 (and @t319 @t315 @t312 @t307 @t301 @t298 @t292 @t289 @t282 @t278 @t337 @t100))) % 0.48/0.69 (step @p187 :rule trans :premises (@p186 @p185)) % 0.48/0.69 (step @p188 :rule nary_cong :premises (@p147 @p187) :args ((or @t326 (not (and @t323 @t321 @t319 @t315 @t312 @t307 @t301 @t298 @t292 @t289 @t282 @t278 @t337 @t100))))) % 0.48/0.69 (step @p189 :rule bool-and-de-morgan :args (@t325 @t323 (and @t321 @t319 @t315 @t312 @t307 @t301 @t298 @t292 @t289 @t282 @t278 @t337 @t100))) % 0.48/0.69 (step @p190 :rule trans :premises (@p189 @p188)) % 0.48/0.69 (step @p191 :rule nary_cong :premises (@p148 @p190) :args ((or @t328 (not (and @t325 @t323 @t321 @t319 @t315 @t312 @t307 @t301 @t298 @t292 @t289 @t282 @t278 @t337 @t100))))) % 0.48/0.69 (step @p192 :rule bool-and-de-morgan :args (@t327 @t325 (and @t323 @t321 @t319 @t315 @t312 @t307 @t301 @t298 @t292 @t289 @t282 @t278 @t337 @t100))) % 0.48/0.69 (step @p193 :rule trans :premises (@p192 @p191)) % 0.48/0.69 (step @p194 :rule trans :premises (@p193 @p150)) % 0.48/0.69 (step @p195 :rule trans 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@t442 (@list @t400 @t440))) % 0.48/0.69 (step @p662 :rule cong :premises (@p638) :args (@t443)) % 0.48/0.69 (step @p663 :rule refl :args (@t18)) % 0.48/0.69 (step @p664 :rule cong :premises (@p663 @p662) :args ((=> @t18 @t443))) % 0.48/0.69 (assume-push @p756 @t18) % 0.48/0.69 (step @p666 :rule instantiate :premises (@p14) :args ((@list @t378 @t387 @t395))) % 0.48/0.69 (step-pop @p757 :rule scope :premises (@p666)) % 0.48/0.69 (step @p667 :rule process_scope :premises (@p757) :args (@t443)) % 0.48/0.69 (step @p669 :rule eq_resolve :premises (@p667 @p664)) % 0.48/0.69 (step @p670 :rule implies_elim :premises (@p669)) % 0.48/0.69 (step @p671 :rule chain_m_resolution :premises (@p670 @p14) :args ((not @t438) @t426 (@list @t18))) % 0.48/0.69 (step @p672 :rule cnf_or_pos :args (@t439)) % 0.48/0.69 (step @p673 :rule reordering :premises (@p672) :args ((or @t438 @t427 (not @t439)))) % 0.48/0.69 (step @p674 :rule chain_m_resolution :premises (@p673 @p671 @p661) :args (@t427 @t444 (@list @t438 @t439))) % 0.48/0.69 (step @p675 :rule cnf_or_neg :args (@t431 1)) % 0.48/0.69 (step @p676 :rule reordering :premises (@p675) :args ((or (not @t427) @t431))) % 0.48/0.69 (step @p677 :rule chain_m_resolution :premises (@p676 @p674) :args (@t431 @t426 (@list @t427))) % 0.48/0.69 (step @p678 :rule cnf_equiv_pos2 :args (@t432)) % 0.48/0.69 (step @p679 :rule reordering :premises (@p678) :args ((or @t429 (not @t431) (not @t432)))) % 0.48/0.69 (step @p680 :rule chain_m_resolution :premises (@p679 @p677 @p634) :args (@t429 @t442 (@list @t431 @t432))) % 0.48/0.69 (step @p681 :rule true_intro :premises (@p680)) % 0.48/0.69 (step @p682 :rule bool-double-not-elim :args (@t412)) % 0.48/0.69 (step @p683 :rule nary_cong :premises (@p564 @p682) :args ((or @t414 (not @t413)))) % 0.48/0.69 (step @p684 :rule cnf_or_neg :args (@t414 0)) % 0.48/0.69 (step @p685 :rule eq_resolve :premises (@p684 @p683)) % 0.48/0.69 (step @p686 :rule reordering :premises (@p685) :args ((or @t412 @t414))) % 0.48/0.69 (step @p687 :rule chain_m_resolution :premises (@p686 @p562) :args (@t412 @t415 @t416)) % 0.48/0.69 (step @p688 :rule bool-double-not-elim :args (@t405)) % 0.48/0.69 (step @p689 :rule nary_cong :premises (@p564 @p688) :args ((or @t414 (not @t406)))) % 0.48/0.69 (step @p690 :rule cnf_or_neg :args (@t414 5)) % 0.48/0.69 (step @p691 :rule eq_resolve :premises (@p690 @p689)) % 0.48/0.69 (step @p692 :rule reordering :premises (@p691) :args ((or @t405 @t414))) % 0.48/0.69 (step @p693 :rule chain_m_resolution :premises (@p692 @p562) :args (@t405 @t415 @t416)) % 0.48/0.69 (step @p694 :rule symm :premises (@p693)) % 0.48/0.69 (step @p695 :rule cong :premises (@p694) :args (@t419)) % 0.48/0.69 (step @p696 :rule trans :premises (@p695 @p687)) % 0.48/0.69 (step @p697 :rule refl :args (@t399)) % 0.48/0.69 (step @p698 :rule cong :premises (@p697 @p696) :args (@t422)) % 0.48/0.69 (step @p699 :rule trans :premises (@p698 @p681)) % 0.48/0.69 (step @p700 :rule true_elim :premises (@p699)) % 0.48/0.69 (step @p701 :rule refl :args (@t445)) % 0.48/0.69 (step @p702 :rule eq-symm :args (@t407 @t410)) % 0.48/0.69 (step @p703 :rule nary_cong :premises (@p702 @p701) :args (@t446)) % 0.48/0.69 (step @p704 :rule refl :args (@t447)) % 0.48/0.69 (step @p705 :rule cong :premises (@p704 @p703) :args (@t448)) % 0.48/0.69 (step @p706 :rule cong :premises (@p626 @p705) :args ((=> @t50 @t448))) % 0.48/0.69 (assume-push @p758 @t50) % 0.48/0.69 (step @p708 :rule instantiate :premises (@p47) :args ((@list @t407 @t410 @t397))) % 0.48/0.69 (step-pop @p759 :rule scope :premises (@p708)) % 0.48/0.69 (step @p709 :rule process_scope :premises (@p759) :args (@t448)) % 0.48/0.69 (step @p711 :rule eq_resolve :premises (@p709 @p706)) % 0.48/0.69 (step @p712 :rule implies_elim :premises (@p711)) % 0.48/0.69 (step @p713 :rule chain_m_resolution :premises (@p712 @p47) :args (@t450 @t426 @t433)) % 0.48/0.69 (step @p714 :rule eq-symm :args (@t452 @t408)) % 0.48/0.69 (step @p715 :rule cong :premises (@p644 @p714) :args ((=> @t436 @t453))) % 0.48/0.69 (assume-push @p760 @t436) % 0.48/0.69 (step @p717 :rule instantiate :premises (@p637) :args ((@list @t407 @t396 @t397))) % 0.48/0.69 (step-pop @p761 :rule scope :premises (@p717)) % 0.48/0.69 (step @p718 :rule process_scope :premises (@p761) :args (@t453)) % 0.48/0.69 (step @p720 :rule eq_resolve :premises (@p718 @p715)) % 0.48/0.69 (step @p721 :rule implies_elim :premises (@p720)) % 0.48/0.69 (step @p722 :rule chain_m_resolution :premises (@p721 @p637) :args (@t454 @t426 @t441)) % 0.48/0.69 (step @p723 :rule bool-double-not-elim :args (@t408)) % 0.48/0.69 (step @p724 :rule nary_cong :premises (@p564 @p723) :args ((or @t414 (not @t409)))) % 0.48/0.69 (step @p725 :rule cnf_or_neg :args (@t414 3)) % 0.48/0.69 (step @p726 :rule eq_resolve :premises (@p725 @p724)) % 0.48/0.69 (step @p727 :rule reordering :premises (@p726) :args ((or @t408 @t414))) % 0.48/0.69 (step @p728 :rule chain_m_resolution :premises (@p727 @p562) :args (@t408 @t415 @t416)) % 0.48/0.69 (step @p729 :rule cnf_equiv_pos1 :args (@t454)) % 0.48/0.69 (step @p730 :rule reordering :premises (@p729) :args ((or @t409 @t452 (not @t454)))) % 0.48/0.69 (step @p731 :rule chain_m_resolution :premises (@p730 @p728 @p722) :args (@t452 @t442 (@list @t408 @t454))) % 0.48/0.69 (step @p732 :rule instantiate :premises (@p20) :args ((@list @t380 @t395))) % 0.48/0.69 (step @p733 :rule cnf_or_pos :args (@t452)) % 0.48/0.69 (step @p734 :rule reordering :premises (@p733) :args ((or @t451 @t445 (not @t452)))) % 0.48/0.69 (step @p735 :rule chain_m_resolution :premises (@p734 @p732 @p731) :args (@t445 @t444 (@list @t451 @t452))) % 0.48/0.69 (step @p736 :rule cnf_or_neg :args (@t449 1)) % 0.48/0.69 (step @p737 :rule reordering :premises (@p736) :args ((or (not @t445) @t449))) % 0.48/0.69 (step @p738 :rule chain_m_resolution :premises (@p737 @p735) :args (@t449 @t426 (@list @t445))) % 0.48/0.69 (step @p739 :rule cnf_equiv_pos2 :args (@t450)) % 0.48/0.69 (step @p740 :rule reordering :premises (@p739) :args ((or @t447 (not @t449) (not @t450)))) % 0.48/0.69 (step @p741 :rule chain_m_resolution :premises (@p740 @p738 @p713) :args (@t447 @t442 (@list @t449 @t450))) % 0.48/0.69 (step @p742 :rule true_intro :premises (@p741)) % 0.48/0.69 (step @p743 :rule refl :args (@t407)) % 0.48/0.69 (step @p744 :rule cong :premises (@p743 @p696) :args (@t420)) % 0.48/0.69 (step @p745 :rule trans :premises (@p744 @p742)) % 0.48/0.69 (step @p746 :rule true_elim :premises (@p745)) % 0.48/0.69 (step @p747 :rule cnf_or_pos :args (@t425)) % 0.48/0.69 (step @p748 :rule reordering :premises (@p747) :args ((or @t402 @t394 @t392 @t390 @t386 @t423 @t421 (not @t425)))) % 0.48/0.69 (step @p749 false :rule chain_m_resolution :premises (@p748 @p746 @p700 @p620 @p593 @p587 @p581 @p575 @p569) :args (false (@list false false false false false false false false) (@list @t420 @t422 @t425 @t385 @t389 @t391 @t393 @t379))) % 0.48/0.69 ) % 0.48/0.69 % SZS output end Proof % 0.48/0.69 % cvc5 exiting %------------------------------------------------------------------------------