%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV472+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:01:37 AM UTC 2026 % Result : Theorem 0.45s 0.69s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV472+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n025.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 20:19:31 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.69 % SZS status Theorem % 0.45/0.69 % SZS output start Proof % 0.45/0.69 ( % 0.45/0.69 (declare-sort $$unsorted 0) % 0.45/0.69 (declare-const tptp.elid $$unsorted) % 0.45/0.69 (declare-const tptp.pendack $$unsorted) % 0.45/0.69 (declare-const tptp.down $$unsorted) % 0.45/0.69 (declare-const tptp.index (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.ordered (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.pidMsg (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.elec_1 $$unsorted) % 0.45/0.69 (declare-const tptp.zero $$unsorted) % 0.45/0.69 (declare-const tptp.elem (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.m_Ack (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.setEmpty $$unsorted) % 0.45/0.69 (declare-const tptp.elec_2 $$unsorted) % 0.45/0.69 (declare-const tptp.queue (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.nbr_proc $$unsorted) % 0.45/0.69 (declare-const tptp.status $$unsorted) % 0.45/0.69 (declare-const tptp.setIn (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.wait $$unsorted) % 0.45/0.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.ldr $$unsorted) % 0.45/0.69 (declare-const tptp.norm $$unsorted) % 0.45/0.69 (declare-const tptp.m_Ldr (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.host (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.pids $$unsorted) % 0.45/0.69 (declare-const tptp.pidElem (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.m_Down (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.last (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.m_NotNorm (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.m_Halt (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.alive $$unsorted) % 0.45/0.69 (declare-const tptp.nil $$unsorted) % 0.45/0.69 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.snoc (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.init (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.m_NormQ (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.q_nil $$unsorted) % 0.45/0.69 (define @t1 () (@var "Pid2" $$unsorted)) % 0.45/0.69 (define @t2 () (@var "Pid" $$unsorted)) % 0.45/0.69 (define @t3 () (tptp.host @t2)) % 0.45/0.69 (define @t4 () (@list @t2 @t1)) % 0.45/0.69 (define @t5 () (@var "Q" $$unsorted)) % 0.45/0.69 (define @t6 () (tptp.host @t5)) % 0.45/0.69 (define @t7 () (@var "P" $$unsorted)) % 0.45/0.69 (define @t8 () (tptp.host @t7)) % 0.45/0.69 (define @t9 () (tptp.s tptp.zero)) % 0.45/0.69 (define @t10 () (@list @t7)) % 0.45/0.69 (define @t11 () (@var "Z" $$unsorted)) % 0.45/0.69 (define @t12 () (@var "Y" $$unsorted)) % 0.45/0.69 (define @t13 () (@var "X" $$unsorted)) % 0.45/0.69 (define @t14 () (tptp.m_Ack @t13 @t12)) % 0.45/0.69 (define @t15 () (@list @t13 @t12 @t11)) % 0.45/0.69 (define @t16 () (tptp.m_Down @t11)) % 0.45/0.69 (define @t17 () (tptp.m_NotNorm @t11)) % 0.45/0.69 (define @t18 () (tptp.m_Halt @t12)) % 0.45/0.69 (define @t19 () (tptp.m_NotNorm @t13)) % 0.45/0.69 (define @t20 () (@list @t13 @t12)) % 0.45/0.69 (define @t21 () (tptp.m_Down @t13)) % 0.45/0.69 (define @t22 () (tptp.m_Ldr @t12)) % 0.45/0.69 (define @t23 () (tptp.m_NotNorm @t12)) % 0.45/0.69 (define @t24 () (tptp.m_NormQ @t12)) % 0.45/0.69 (define @t25 () (tptp.m_NormQ @t13)) % 0.45/0.69 (define @t26 () (tptp.m_Ldr @t13)) % 0.45/0.69 (define @t27 () (tptp.m_Halt @t13)) % 0.45/0.69 (define @t28 () (= @t13 @t12)) % 0.45/0.69 (define @t29 () (not @t28)) % 0.45/0.69 (define @t30 () (tptp.m_Down @t12)) % 0.45/0.69 (define @t31 () (@var "Y2" $$unsorted)) % 0.45/0.69 (define @t32 () (@var "X2" $$unsorted)) % 0.45/0.69 (define @t33 () (@var "Y1" $$unsorted)) % 0.45/0.69 (define @t34 () (@var "X1" $$unsorted)) % 0.45/0.69 (define @t35 () (not (= (tptp.m_Ack @t34 @t33) (tptp.m_Ack @t32 @t31)))) % 0.45/0.69 (define @t36 () (@list @t34 @t32 @t33 @t31)) % 0.45/0.69 (define @t37 () (tptp.cons @t13 @t5)) % 0.45/0.69 (define @t38 () (@list @t13 @t5)) % 0.45/0.69 (define @t39 () (tptp.snoc @t5 @t12)) % 0.45/0.69 (define @t40 () (@list @t12 @t5)) % 0.45/0.69 (define @t41 () (= @t5 tptp.q_nil)) % 0.45/0.69 (define @t42 () (@list @t5)) % 0.45/0.69 (define @t43 () (tptp.snoc tptp.q_nil @t13)) % 0.45/0.69 (define @t44 () (tptp.cons @t13 tptp.q_nil)) % 0.45/0.69 (define @t45 () (@list @t13)) % 0.45/0.69 (define @t46 () (@list @t13 @t12 @t5)) % 0.45/0.69 (define @t47 () (or @t28 (tptp.elem @t13 @t5))) % 0.45/0.69 (define @t48 () (forall @t46 (= (tptp.elem @t13 (tptp.cons @t12 @t5)) @t47))) % 0.45/0.69 (define @t49 () (tptp.elem @t13 @t39)) % 0.45/0.69 (define @t50 () (forall @t46 (= @t49 @t47))) % 0.45/0.69 (define @t51 () (@list @t12)) % 0.45/0.69 (define @t52 () (tptp.pidElem @t13)) % 0.45/0.69 (define @t53 () (tptp.pidMsg @t27)) % 0.45/0.69 (define @t54 () (forall @t45 (= @t53 @t13))) % 0.45/0.69 (define @t55 () (tptp.pidMsg @t21)) % 0.45/0.69 (define @t56 () (forall @t45 (= @t55 @t13))) % 0.45/0.69 (define @t57 () (tptp.pidMsg @t12)) % 0.45/0.69 (define @t58 () (tptp.pidMsg @t13)) % 0.45/0.69 (define @t59 () (and (tptp.elem @t12 @t5) @t52 (tptp.pidElem @t12) (= (tptp.host @t57) (tptp.host @t58)))) % 0.45/0.69 (define @t60 () (tptp.ordered @t5)) % 0.45/0.69 (define @t61 () (@list @t5 @t13 @t12)) % 0.45/0.69 (define @t62 () (tptp.leq @t13 @t12)) % 0.45/0.69 (define @t63 () (tptp.host @t12)) % 0.45/0.69 (define @t64 () (tptp.host @t13)) % 0.45/0.69 (define @t65 () (tptp.s @t13)) % 0.45/0.69 (define @t66 () (tptp.leq @t12 @t13)) % 0.45/0.69 (define @t67 () (tptp.s @t12)) % 0.45/0.69 (define @t68 () (@var "V" $$unsorted)) % 0.45/0.69 (define @t69 () (tptp.snoc @t68 @t27)) % 0.45/0.69 (define @t70 () (@var "W0" $$unsorted)) % 0.45/0.69 (define @t71 () (tptp.elem (tptp.m_Down @t70) @t69)) % 0.45/0.69 (define @t72 () (tptp.setIn @t11 tptp.alive)) % 0.45/0.69 (define @t73 () (not (and @t72 @t71))) % 0.45/0.69 (define @t74 () (@var "Y0" $$unsorted)) % 0.45/0.69 (define @t75 () (tptp.host @t74)) % 0.45/0.69 (define @t76 () (tptp.index tptp.status @t75)) % 0.45/0.69 (define @t77 () (= @t75 (tptp.host @t70))) % 0.45/0.69 (define @t78 () (@var "X0" $$unsorted)) % 0.45/0.69 (define @t79 () (tptp.elem (tptp.m_Down @t78) (tptp.queue @t75))) % 0.45/0.69 (define @t80 () (@var "V0" $$unsorted)) % 0.45/0.69 (define @t81 () (= @t80 (tptp.host @t78))) % 0.45/0.69 (define @t82 () (tptp.setIn @t80 (tptp.index tptp.down @t75))) % 0.45/0.69 (define @t83 () (or @t82 @t81)) % 0.45/0.69 (define @t84 () (tptp.leq @t9 @t80)) % 0.45/0.69 (define @t85 () (tptp.leq @t75 @t80)) % 0.45/0.69 (define @t86 () (not @t85)) % 0.45/0.69 (define @t87 () (and @t86 @t84)) % 0.45/0.69 (define @t88 () (@list @t80)) % 0.45/0.69 (define @t89 () (forall @t88 (=> @t87 @t83))) % 0.45/0.69 (define @t90 () (and @t89 @t79 @t77 (= @t75 tptp.nbr_proc) (= @t76 tptp.elec_1))) % 0.45/0.69 (define @t91 () (=> @t90 @t73)) % 0.45/0.69 (define @t92 () (= @t64 @t75)) % 0.45/0.69 (define @t93 () (not @t92)) % 0.45/0.69 (define @t94 () (=> @t93 @t91)) % 0.45/0.69 (define @t95 () (tptp.index tptp.pendack @t64)) % 0.45/0.69 (define @t96 () (tptp.s @t95)) % 0.45/0.69 (define @t97 () (= @t96 @t75)) % 0.45/0.69 (define @t98 () (not @t97)) % 0.45/0.69 (define @t99 () (=> @t98 @t94)) % 0.45/0.69 (define @t100 () (@list @t70 @t78 @t74)) % 0.45/0.69 (define @t101 () (forall @t100 @t99)) % 0.45/0.69 (define @t102 () (tptp.host @t11)) % 0.45/0.69 (define @t103 () (= @t64 @t102)) % 0.45/0.69 (define @t104 () (=> @t103 @t101)) % 0.45/0.69 (define @t105 () (=> (= @t96 @t102) @t104)) % 0.45/0.69 (define @t106 () (@list @t11)) % 0.45/0.69 (define @t107 () (forall @t106 @t105)) % 0.45/0.69 (define @t108 () (tptp.leq tptp.nbr_proc @t95)) % 0.45/0.69 (define @t109 () (not @t108)) % 0.45/0.69 (define @t110 () (=> @t109 @t107)) % 0.45/0.69 (define @t111 () (= @t63 @t95)) % 0.45/0.69 (define @t112 () (tptp.index tptp.status @t64)) % 0.45/0.69 (define @t113 () (@var "W" $$unsorted)) % 0.45/0.69 (define @t114 () (tptp.index tptp.elid @t64)) % 0.45/0.69 (define @t115 () (and (= @t114 @t113) (= @t112 tptp.elec_2) @t111)) % 0.45/0.69 (define @t116 () (=> @t115 @t110)) % 0.45/0.69 (define @t117 () (tptp.setIn @t13 tptp.alive)) % 0.45/0.69 (define @t118 () (=> @t117 @t116)) % 0.45/0.69 (define @t119 () (tptp.queue @t64)) % 0.45/0.69 (define @t120 () (= @t119 (tptp.cons (tptp.m_Ack @t113 @t12) @t68))) % 0.45/0.69 (define @t121 () (tptp.queue @t102)) % 0.45/0.69 (define @t122 () (@var "Pid30" $$unsorted)) % 0.45/0.69 (define @t123 () (tptp.m_Down @t122)) % 0.45/0.69 (define @t124 () (tptp.elem @t123 @t121)) % 0.45/0.69 (define @t125 () (not (and @t72 @t124))) % 0.45/0.69 (define @t126 () (@var "Pid0" $$unsorted)) % 0.45/0.69 (define @t127 () (tptp.host @t126)) % 0.45/0.69 (define @t128 () (tptp.index tptp.status @t127)) % 0.45/0.69 (define @t129 () (tptp.host @t122)) % 0.45/0.69 (define @t130 () (= @t127 @t129)) % 0.45/0.69 (define @t131 () (= @t127 tptp.nbr_proc)) % 0.45/0.69 (define @t132 () (tptp.queue @t127)) % 0.45/0.69 (define @t133 () (@var "Pid20" $$unsorted)) % 0.45/0.69 (define @t134 () (tptp.elem (tptp.m_Down @t133) @t132)) % 0.45/0.69 (define @t135 () (tptp.host @t133)) % 0.45/0.69 (define @t136 () (tptp.setIn @t80 (tptp.index tptp.down @t127))) % 0.45/0.69 (define @t137 () (or @t136 (= @t80 @t135))) % 0.45/0.69 (define @t138 () (tptp.leq @t127 @t80)) % 0.45/0.69 (define @t139 () (not @t138)) % 0.45/0.69 (define @t140 () (and @t139 @t84)) % 0.45/0.69 (define @t141 () (=> @t140 @t137)) % 0.45/0.69 (define @t142 () (forall @t88 @t141)) % 0.45/0.69 (define @t143 () (and @t142 @t134 @t131 @t130 (= @t128 tptp.elec_1))) % 0.45/0.69 (define @t144 () (=> @t143 @t125)) % 0.45/0.69 (define @t145 () (@list @t11 @t122 @t133 @t126)) % 0.45/0.69 (define @t146 () (forall @t145 @t144)) % 0.45/0.69 (define @t147 () (tptp.setIn @t129 (tptp.index tptp.down @t135))) % 0.45/0.69 (define @t148 () (tptp.elem (tptp.m_Down @t126) @t121)) % 0.45/0.69 (define @t149 () (not (and @t148 @t147))) % 0.45/0.69 (define @t150 () (= @t127 @t135)) % 0.45/0.69 (define @t151 () (tptp.setIn @t133 tptp.alive)) % 0.45/0.69 (define @t152 () (not (= @t135 @t102))) % 0.45/0.69 (define @t153 () (and @t152 @t72 @t151 (= @t129 @t102) @t150)) % 0.45/0.69 (define @t154 () (=> @t153 @t149)) % 0.45/0.69 (define @t155 () (forall @t145 @t154)) % 0.45/0.69 (define @t156 () (tptp.queue @t135)) % 0.45/0.69 (define @t157 () (tptp.elem @t123 @t156)) % 0.45/0.69 (define @t158 () (not (and @t148 @t157))) % 0.45/0.69 (define @t159 () (=> @t153 @t158)) % 0.45/0.69 (define @t160 () (forall @t145 @t159)) % 0.45/0.69 (define @t161 () (not (tptp.elem @t16 @t156))) % 0.45/0.69 (define @t162 () (tptp.host (tptp.index tptp.elid @t127))) % 0.45/0.69 (define @t163 () (= @t127 @t102)) % 0.45/0.69 (define @t164 () (tptp.setIn @t126 tptp.alive)) % 0.45/0.69 (define @t165 () (not @t150)) % 0.45/0.69 (define @t166 () (and @t165 @t164 @t163 (= @t128 tptp.wait) (= @t162 @t135))) % 0.45/0.69 (define @t167 () (=> @t166 @t161)) % 0.45/0.69 (define @t168 () (@list @t11 @t133 @t126)) % 0.45/0.69 (define @t169 () (forall @t168 @t167)) % 0.45/0.69 (define @t170 () (tptp.index tptp.ldr @t127)) % 0.45/0.69 (define @t171 () (and @t165 @t164 @t163 (= @t128 tptp.norm) (= @t170 @t135))) % 0.45/0.69 (define @t172 () (=> @t171 @t161)) % 0.45/0.69 (define @t173 () (forall @t168 @t172)) % 0.45/0.69 (define @t174 () (tptp.index tptp.elid @t102)) % 0.45/0.69 (define @t175 () (tptp.index tptp.status @t102)) % 0.45/0.69 (define @t176 () (or (= @t175 tptp.elec_1) (= @t175 tptp.elec_2))) % 0.45/0.69 (define @t177 () (and @t176 @t72)) % 0.45/0.69 (define @t178 () (=> @t177 (= @t174 @t11))) % 0.45/0.69 (define @t179 () (forall @t106 @t178)) % 0.45/0.69 (define @t180 () (not @t164)) % 0.45/0.69 (define @t181 () (not @t72)) % 0.45/0.69 (define @t182 () (or @t181 @t180)) % 0.45/0.69 (define @t183 () (not (= @t126 @t11))) % 0.45/0.69 (define @t184 () (and @t183 @t163)) % 0.45/0.69 (define @t185 () (=> @t184 @t182)) % 0.45/0.69 (define @t186 () (@list @t11 @t126)) % 0.45/0.69 (define @t187 () (forall @t186 @t185)) % 0.45/0.69 (define @t188 () (not (tptp.elem @t17 @t132))) % 0.45/0.69 (define @t189 () (=> @t131 @t188)) % 0.45/0.69 (define @t190 () (forall @t186 @t189)) % 0.45/0.69 (define @t191 () (not @t163)) % 0.45/0.69 (define @t192 () (=> @t148 @t191)) % 0.45/0.69 (define @t193 () (forall @t186 @t192)) % 0.45/0.69 (define @t194 () (not (tptp.leq @t102 @t127))) % 0.45/0.69 (define @t195 () (tptp.elem (tptp.m_Ldr @t126) @t121)) % 0.45/0.69 (define @t196 () (forall @t186 (=> @t195 @t194))) % 0.45/0.69 (define @t197 () (and @t196 @t193 @t190 @t187 @t179 @t173 @t169 @t160 @t155 @t146 @t120)) % 0.45/0.69 (define @t198 () (=> @t197 @t118)) % 0.45/0.69 (define @t199 () (@list @t68 @t113 @t13 @t12)) % 0.45/0.69 (define @t200 () (forall @t199 @t198)) % 0.45/0.69 (define @t201 () (not @t200)) % 0.45/0.69 (define @t202 () (@var "BOUND_VARIABLE_8340" $$unsorted)) % 0.45/0.69 (define @t203 () (not (tptp.setIn @t202 tptp.alive))) % 0.45/0.69 (define @t204 () (tptp.host @t202)) % 0.45/0.69 (define @t205 () (not (= @t64 @t204))) % 0.45/0.69 (define @t206 () (not (= @t96 @t204))) % 0.45/0.69 (define @t207 () (@var "BOUND_VARIABLE_8307" $$unsorted)) % 0.45/0.69 (define @t208 () (not (tptp.elem (tptp.m_Down @t207) @t69))) % 0.45/0.69 (define @t209 () (@var "BOUND_VARIABLE_8311" $$unsorted)) % 0.45/0.69 (define @t210 () (tptp.host @t209)) % 0.45/0.69 (define @t211 () (not (= tptp.elec_1 (tptp.index tptp.status @t210)))) % 0.45/0.69 (define @t212 () (not (= tptp.nbr_proc @t210))) % 0.45/0.69 (define @t213 () (not (= @t210 (tptp.host @t207)))) % 0.45/0.69 (define @t214 () (@var "BOUND_VARIABLE_8309" $$unsorted)) % 0.45/0.69 (define @t215 () (not (tptp.elem (tptp.m_Down @t214) (tptp.queue @t210)))) % 0.45/0.69 (define @t216 () (not @t84)) % 0.45/0.69 (define @t217 () (not (forall @t88 (or (tptp.leq @t210 @t80) @t216 (tptp.setIn @t80 (tptp.index tptp.down @t210)) (= @t80 (tptp.host @t214)))))) % 0.45/0.69 (define @t218 () (= @t64 @t210)) % 0.45/0.69 (define @t219 () (= @t96 @t210)) % 0.45/0.69 (define @t220 () (not @t111)) % 0.45/0.69 (define @t221 () (= tptp.elec_2 @t112)) % 0.45/0.69 (define @t222 () (not @t221)) % 0.45/0.69 (define @t223 () (not @t117)) % 0.45/0.69 (define @t224 () (not (= @t119 (tptp.cons (tptp.m_Ack @t114 @t12) @t68)))) % 0.45/0.69 (define @t225 () (or @t224 @t223 @t222 @t220 @t108 @t219 @t218 @t217 @t215 @t213 @t212 @t211 @t208 @t206 @t205 @t203)) % 0.45/0.69 (define @t226 () (not (= @t114 @t114))) % 0.45/0.69 (define @t227 () (or @t224 @t223 @t226 @t222 @t220 @t108 @t219 @t218 @t217 @t215 @t213 @t212 @t211 @t208 @t206 @t205 @t203)) % 0.45/0.69 (define @t228 () (@list @t68 @t13 @t12 @t207 @t214 @t209 @t202)) % 0.45/0.69 (define @t229 () (= @t113 @t114)) % 0.45/0.69 (define @t230 () (not @t229)) % 0.45/0.69 (define @t231 () (not @t120)) % 0.45/0.69 (define @t232 () (or @t230 @t231 @t223 @t230 @t222 @t220 @t108 @t219 @t218 @t217 @t215 @t213 @t212 @t211 @t208 @t206 @t205 @t203)) % 0.45/0.69 (define @t233 () (@list @t113)) % 0.45/0.69 (define @t234 () (or @t231 @t223 @t230 @t222 @t220 @t108 @t219 @t218 @t217 @t215 @t213 @t212 @t211 @t208 @t206 @t205 @t203)) % 0.45/0.69 (define @t235 () (forall @t233 @t234)) % 0.45/0.69 (define @t236 () (forall @t228 @t235)) % 0.45/0.69 (define @t237 () (forall (@list @t68 @t13 @t12 @t207 @t214 @t209 @t202 @t113) @t234)) % 0.45/0.69 (define @t238 () (@list @t68 @t113 @t13 @t12 @t207 @t214 @t209 @t202)) % 0.45/0.69 (define @t239 () (not (= @t204 @t96))) % 0.45/0.69 (define @t240 () (or @t231 @t223 @t230 @t222 @t220 @t108 @t219 @t218 @t217 @t215 @t213 @t212 @t211 @t208 @t239 @t205 @t203)) % 0.45/0.69 (define @t241 () (or @t239 @t205 @t203)) % 0.45/0.69 (define @t242 () (or @t219 @t218 @t217 @t215 @t213 @t212 @t211 @t208)) % 0.45/0.69 (define @t243 () (or @t231 @t223 @t230 @t222 @t220 @t108 @t242 @t241)) % 0.45/0.69 (define @t244 () (forall @t238 @t243)) % 0.45/0.69 (define @t245 () (forall (@list @t207 @t214 @t209 @t202) @t243)) % 0.45/0.69 (define @t246 () (forall (@list @t202) @t241)) % 0.45/0.69 (define @t247 () (forall (@list @t207 @t214 @t209) @t242)) % 0.45/0.69 (define @t248 () (or @t231 @t223 @t230 @t222 @t220 @t108 @t247 @t246)) % 0.45/0.69 (define @t249 () (not @t103)) % 0.45/0.69 (define @t250 () (= @t102 @t96)) % 0.45/0.69 (define @t251 () (not @t250)) % 0.45/0.69 (define @t252 () (or @t251 @t249 @t181)) % 0.45/0.69 (define @t253 () (forall @t106 @t252)) % 0.45/0.69 (define @t254 () (not @t71)) % 0.45/0.69 (define @t255 () (= tptp.elec_1 @t76)) % 0.45/0.69 (define @t256 () (not @t255)) % 0.45/0.69 (define @t257 () (= tptp.nbr_proc @t75)) % 0.45/0.69 (define @t258 () (not @t257)) % 0.45/0.69 (define @t259 () (not @t77)) % 0.45/0.69 (define @t260 () (not @t79)) % 0.45/0.69 (define @t261 () (or @t85 @t216 @t82 @t81)) % 0.45/0.69 (define @t262 () (forall @t88 @t261)) % 0.45/0.69 (define @t263 () (not @t262)) % 0.45/0.69 (define @t264 () (or @t97 @t92 @t263 @t260 @t259 @t258 @t256 @t254)) % 0.45/0.69 (define @t265 () (forall @t100 @t264)) % 0.45/0.69 (define @t266 () (or @t231 @t223 @t230 @t222 @t220 @t108 @t265 @t253)) % 0.45/0.69 (define @t267 () (forall @t199 @t266)) % 0.45/0.69 (define @t268 () (not @t124)) % 0.45/0.69 (define @t269 () (= tptp.elec_1 @t128)) % 0.45/0.69 (define @t270 () (not @t269)) % 0.45/0.69 (define @t271 () (not @t130)) % 0.45/0.69 (define @t272 () (= tptp.nbr_proc @t127)) % 0.45/0.69 (define @t273 () (not @t272)) % 0.45/0.69 (define @t274 () (not @t134)) % 0.45/0.69 (define @t275 () (= @t135 @t80)) % 0.45/0.69 (define @t276 () (or @t138 @t216 @t136 @t275)) % 0.45/0.69 (define @t277 () (forall @t88 @t276)) % 0.45/0.69 (define @t278 () (not @t277)) % 0.45/0.69 (define @t279 () (or @t278 @t274 @t273 @t271 @t270 @t181 @t268)) % 0.45/0.69 (define @t280 () (forall @t145 @t279)) % 0.45/0.69 (define @t281 () (not @t280)) % 0.45/0.69 (define @t282 () (not @t147)) % 0.45/0.69 (define @t283 () (not @t148)) % 0.45/0.69 (define @t284 () (= @t102 @t129)) % 0.45/0.69 (define @t285 () (not @t284)) % 0.45/0.69 (define @t286 () (not @t151)) % 0.45/0.69 (define @t287 () (= @t102 @t135)) % 0.45/0.69 (define @t288 () (or @t287 @t181 @t286 @t285 @t165 @t283 @t282)) % 0.45/0.69 (define @t289 () (forall @t145 @t288)) % 0.45/0.69 (define @t290 () (not @t289)) % 0.45/0.69 (define @t291 () (not @t157)) % 0.45/0.69 (define @t292 () (or @t287 @t181 @t286 @t285 @t165 @t283 @t291)) % 0.45/0.69 (define @t293 () (forall @t145 @t292)) % 0.45/0.69 (define @t294 () (not @t293)) % 0.45/0.69 (define @t295 () (= @t135 @t162)) % 0.45/0.69 (define @t296 () (not @t295)) % 0.45/0.69 (define @t297 () (= tptp.wait @t128)) % 0.45/0.69 (define @t298 () (not @t297)) % 0.45/0.69 (define @t299 () (= @t102 @t127)) % 0.45/0.69 (define @t300 () (not @t299)) % 0.45/0.69 (define @t301 () (or @t150 @t180 @t300 @t298 @t296 @t161)) % 0.45/0.69 (define @t302 () (forall @t168 @t301)) % 0.45/0.69 (define @t303 () (not @t302)) % 0.45/0.69 (define @t304 () (= @t135 @t170)) % 0.45/0.69 (define @t305 () (not @t304)) % 0.45/0.69 (define @t306 () (= tptp.norm @t128)) % 0.45/0.69 (define @t307 () (not @t306)) % 0.45/0.69 (define @t308 () (or @t150 @t180 @t300 @t307 @t305 @t161)) % 0.45/0.69 (define @t309 () (forall @t168 @t308)) % 0.45/0.69 (define @t310 () (not @t309)) % 0.45/0.69 (define @t311 () (= @t11 @t174)) % 0.45/0.69 (define @t312 () (= tptp.elec_2 @t175)) % 0.45/0.69 (define @t313 () (= tptp.elec_1 @t175)) % 0.45/0.69 (define @t314 () (and (not @t313) (not @t312))) % 0.45/0.69 (define @t315 () (or @t314 @t181 @t311)) % 0.45/0.69 (define @t316 () (forall @t106 @t315)) % 0.45/0.69 (define @t317 () (not @t316)) % 0.45/0.69 (define @t318 () (= @t11 @t126)) % 0.45/0.69 (define @t319 () (or @t318 @t300 @t181 @t180)) % 0.45/0.69 (define @t320 () (forall @t186 @t319)) % 0.45/0.69 (define @t321 () (not @t320)) % 0.45/0.69 (define @t322 () (forall @t186 (or @t273 @t188))) % 0.45/0.69 (define @t323 () (not @t322)) % 0.45/0.69 (define @t324 () (forall @t186 (or @t283 @t300))) % 0.45/0.69 (define @t325 () (not @t324)) % 0.45/0.69 (define @t326 () (forall @t186 (or (not @t195) @t194))) % 0.45/0.69 (define @t327 () (not @t326)) % 0.45/0.69 (define @t328 () (or @t327 @t325 @t323 @t321 @t317 @t310 @t303 @t294 @t290 @t281 @t267)) % 0.45/0.69 (define @t329 () (or @t327 @t325 @t323 @t321 @t317 @t310 @t303 @t294 @t290 @t281 @t266)) % 0.45/0.69 (define @t330 () (or @t327 @t325 @t323 @t321 @t317 @t310 @t303 @t294 @t290 @t281 @t231 @t223 @t230 @t222 @t220 @t108 @t265 @t253)) % 0.45/0.69 (define @t331 () (or @t223 @t230 @t222 @t220 @t108 @t265 @t253)) % 0.45/0.69 (define @t332 () (or @t327 @t325 @t323 @t321 @t317 @t310 @t303 @t294 @t290 @t281 @t231)) % 0.45/0.69 (define @t333 () (or @t230 @t222 @t220 @t108 @t265 @t253)) % 0.45/0.69 (define @t334 () (or @t108 @t265 @t253)) % 0.45/0.69 (define @t335 () (or @t230 @t222 @t220)) % 0.45/0.69 (define @t336 () (or @t265 @t253)) % 0.45/0.69 (define @t337 () (=> @t109 @t336)) % 0.45/0.69 (define @t338 () (and @t229 @t221 @t111)) % 0.45/0.69 (define @t339 () (=> @t338 @t337)) % 0.45/0.69 (define @t340 () (=> @t117 @t339)) % 0.45/0.69 (define @t341 () (and @t326 @t324 @t322 @t320 @t316 @t309 @t302 @t293 @t289 @t280 @t120)) % 0.45/0.69 (define @t342 () (or @t265 @t252)) % 0.45/0.69 (define @t343 () (or @t251 @t249 @t181 @t265)) % 0.45/0.69 (define @t344 () (or @t249 @t181 @t265)) % 0.45/0.69 (define @t345 () (or @t181 @t265)) % 0.45/0.69 (define @t346 () (=> @t103 @t345)) % 0.45/0.69 (define @t347 () (or @t181 @t264)) % 0.45/0.69 (define @t348 () (or @t97 @t92 @t263 @t260 @t259 @t258 @t256 @t181 @t254)) % 0.45/0.69 (define @t349 () (or @t92 @t263 @t260 @t259 @t258 @t256 @t181 @t254)) % 0.45/0.69 (define @t350 () (or @t263 @t260 @t259 @t258 @t256 @t181 @t254)) % 0.45/0.69 (define @t351 () (or @t263 @t260 @t259 @t258 @t256)) % 0.45/0.69 (define @t352 () (and @t262 @t79 @t77 @t257 @t255)) % 0.45/0.69 (define @t353 () (=> @t352 @t73)) % 0.45/0.69 (define @t354 () (=> @t93 @t353)) % 0.45/0.69 (define @t355 () (or @t278 @t274 @t273 @t271 @t270)) % 0.45/0.69 (define @t356 () (and @t277 @t134 @t272 @t130 @t269)) % 0.45/0.69 (define @t357 () (or @t136 @t275)) % 0.45/0.69 (define @t358 () (or @t287 @t181 @t286 @t285 @t165)) % 0.45/0.69 (define @t359 () (not @t287)) % 0.45/0.69 (define @t360 () (not @t359)) % 0.45/0.69 (define @t361 () (or @t360 @t181 @t286 @t285 @t165)) % 0.45/0.69 (define @t362 () (and @t359 @t72 @t151 @t284 @t150)) % 0.45/0.69 (define @t363 () (not @t362)) % 0.45/0.69 (define @t364 () (not @t165)) % 0.45/0.69 (define @t365 () (or @t364 @t180 @t300 @t298 @t296)) % 0.45/0.69 (define @t366 () (and @t165 @t164 @t299 @t297 @t295)) % 0.45/0.69 (define @t367 () (or @t364 @t180 @t300 @t307 @t305)) % 0.45/0.69 (define @t368 () (and @t165 @t164 @t299 @t306 @t304)) % 0.45/0.69 (define @t369 () (or @t313 @t312)) % 0.45/0.69 (define @t370 () (and @t369 @t72)) % 0.45/0.69 (define @t371 () (not @t318)) % 0.45/0.69 (define @t372 () (and @t371 @t299)) % 0.45/0.69 (define @t373 () (forall @t228 @t225)) % 0.45/0.69 (define @t374 () (@quantifiers_skolemize @t373 0)) % 0.45/0.69 (define @t375 () (@quantifiers_skolemize @t373 2)) % 0.45/0.69 (define @t376 () (@quantifiers_skolemize @t373 1)) % 0.45/0.69 (define @t377 () (tptp.host @t376)) % 0.45/0.69 (define @t378 () (tptp.m_Ack (tptp.index tptp.elid @t377) @t375)) % 0.45/0.69 (define @t379 () (tptp.cons @t378 @t374)) % 0.45/0.69 (define @t380 () (tptp.queue @t377)) % 0.45/0.69 (define @t381 () (= @t380 @t379)) % 0.45/0.69 (define @t382 () (@quantifiers_skolemize @t373 6)) % 0.45/0.69 (define @t383 () (tptp.host @t382)) % 0.45/0.69 (define @t384 () (tptp.index tptp.pendack @t377)) % 0.45/0.69 (define @t385 () (tptp.s @t384)) % 0.45/0.69 (define @t386 () (tptp.m_Halt @t376)) % 0.45/0.69 (define @t387 () (@quantifiers_skolemize @t373 3)) % 0.45/0.69 (define @t388 () (tptp.m_Down @t387)) % 0.45/0.69 (define @t389 () (tptp.elem @t388 (tptp.snoc @t374 @t386))) % 0.45/0.69 (define @t390 () (not @t389)) % 0.45/0.69 (define @t391 () (@quantifiers_skolemize @t373 5)) % 0.45/0.69 (define @t392 () (tptp.host @t391)) % 0.45/0.69 (define @t393 () (= tptp.elec_1 (tptp.index tptp.status @t392))) % 0.45/0.69 (define @t394 () (not @t393)) % 0.45/0.69 (define @t395 () (= tptp.nbr_proc @t392)) % 0.45/0.69 (define @t396 () (not @t395)) % 0.45/0.69 (define @t397 () (= @t392 (tptp.host @t387))) % 0.45/0.69 (define @t398 () (not @t397)) % 0.45/0.69 (define @t399 () (@quantifiers_skolemize @t373 4)) % 0.45/0.69 (define @t400 () (tptp.elem (tptp.m_Down @t399) (tptp.queue @t392))) % 0.45/0.69 (define @t401 () (not @t400)) % 0.45/0.69 (define @t402 () (tptp.host @t399)) % 0.45/0.69 (define @t403 () (tptp.setIn @t80 (tptp.index tptp.down @t392))) % 0.45/0.69 (define @t404 () (tptp.leq @t392 @t80)) % 0.45/0.69 (define @t405 () (forall @t88 (or @t404 @t216 @t403 (= @t80 @t402)))) % 0.45/0.69 (define @t406 () (not @t405)) % 0.45/0.69 (define @t407 () (= @t377 @t392)) % 0.45/0.69 (define @t408 () (tptp.setIn @t376 tptp.alive)) % 0.45/0.69 (define @t409 () (not @t408)) % 0.45/0.69 (define @t410 () (not @t381)) % 0.45/0.69 (define @t411 () (or @t410 @t409 (not (= tptp.elec_2 (tptp.index tptp.status @t377))) (not (= (tptp.host @t375) @t384)) (tptp.leq tptp.nbr_proc @t384) (= @t385 @t392) @t407 @t406 @t401 @t398 @t396 @t394 @t390 (not (= @t385 @t383)) (not (= @t377 @t383)) (not (tptp.setIn @t382 tptp.alive)))) % 0.45/0.69 (define @t412 () (@list true)) % 0.45/0.69 (define @t413 () (@list @t411)) % 0.45/0.69 (define @t414 () (tptp.elem @t388 @t380)) % 0.45/0.69 (define @t415 () (not @t414)) % 0.45/0.69 (define @t416 () (or @t404 @t216 @t403 (= @t402 @t80))) % 0.45/0.69 (define @t417 () (forall @t88 @t416)) % 0.45/0.69 (define @t418 () (not @t417)) % 0.45/0.69 (define @t419 () (or @t418 @t401 @t396 @t398 @t394 @t409 @t415)) % 0.45/0.69 (define @t420 () (or @t406 @t401 @t396 @t398 @t394 @t409 @t415)) % 0.45/0.69 (define @t421 () (@list false)) % 0.45/0.69 (define @t422 () (tptp.elem @t388 @t374)) % 0.45/0.69 (define @t423 () (or (= @t388 @t378) @t422)) % 0.45/0.69 (define @t424 () (tptp.elem @t388 @t379)) % 0.45/0.69 (define @t425 () (= @t424 @t423)) % 0.45/0.69 (define @t426 () (or (= @t378 @t388) @t422)) % 0.45/0.69 (define @t427 () (= @t424 @t426)) % 0.45/0.69 (define @t428 () (= @t388 @t386)) % 0.45/0.69 (define @t429 () (or @t428 @t422)) % 0.45/0.69 (define @t430 () (forall @t46 (= @t47 @t49))) % 0.45/0.69 (define @t431 () (= @t429 @t389)) % 0.45/0.69 (define @t432 () (= @t389 @t429)) % 0.45/0.69 (define @t433 () (@list false false)) % 0.45/0.69 (define @t434 () (tptp.pidMsg @t386)) % 0.45/0.69 (define @t435 () (= @t376 @t434)) % 0.45/0.69 (define @t436 () (= @t387 (tptp.pidMsg @t388))) % 0.45/0.69 (define @t437 () (and @t397 @t428 @t435 @t436)) % 0.45/0.69 (define @t438 () (not @t428)) % 0.45/0.69 (define @t439 () (not @t424)) % 0.45/0.69 (define @t440 () (and @t424 @t381 @t415)) % 0.45/0.69 (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))))) % 0.45/0.69 (assume @p2 (forall (@list @t7 @t5) (=> (= (tptp.s @t8) @t6) (not (= @t8 @t6))))) % 0.45/0.69 (assume @p3 (forall @t10 (tptp.leq @t9 @t8))) % 0.45/0.69 (assume @p4 (tptp.leq @t9 tptp.nbr_proc)) % 0.45/0.69 (assume @p5 (forall @t10 (tptp.leq @t8 tptp.nbr_proc))) % 0.45/0.69 (assume @p6 (not (= tptp.elec_1 tptp.elec_2))) % 0.45/0.69 (assume @p7 (not (= tptp.elec_1 tptp.wait))) % 0.45/0.69 (assume @p8 (not (= tptp.elec_1 tptp.norm))) % 0.45/0.69 (assume @p9 (not (= tptp.elec_2 tptp.wait))) % 0.45/0.69 (assume @p10 (not (= tptp.elec_2 tptp.norm))) % 0.45/0.69 (assume @p11 (not (= tptp.norm tptp.wait))) % 0.45/0.69 (assume @p12 (forall @t15 (not (= @t14 (tptp.m_Halt @t11))))) % 0.45/0.69 (assume @p13 (forall @t15 (not (= @t14 @t16)))) % 0.45/0.69 (assume @p14 (forall @t15 (not (= @t14 @t17)))) % 0.45/0.69 (assume @p15 (forall @t15 (not (= @t14 (tptp.m_Ldr @t11))))) % 0.45/0.69 (assume @p16 (forall @t15 (not (= @t14 (tptp.m_NormQ @t11))))) % 0.45/0.69 (assume @p17 (forall @t20 (not (= @t19 @t18)))) % 0.45/0.69 (assume @p18 (forall @t20 (not (= @t21 @t18)))) % 0.45/0.69 (assume @p19 (forall @t20 (not (= @t21 @t22)))) % 0.45/0.69 (assume @p20 (forall @t20 (not (= @t21 @t23)))) % 0.45/0.69 (assume @p21 (forall @t20 (not (= @t21 @t24)))) % 0.45/0.69 (assume @p22 (forall @t20 (not (= @t25 @t18)))) % 0.45/0.69 (assume @p23 (forall @t20 (not (= @t26 @t18)))) % 0.45/0.69 (assume @p24 (forall @t20 (not (= @t26 @t24)))) % 0.45/0.69 (assume @p25 (forall @t20 (not (= @t26 @t23)))) % 0.45/0.69 (assume @p26 (forall @t20 (not (= @t25 @t23)))) % 0.45/0.69 (assume @p27 (forall @t20 (= @t29 (not (= @t27 @t18))))) % 0.45/0.69 (assume @p28 (forall @t20 (= @t29 (not (= @t25 @t24))))) % 0.45/0.69 (assume @p29 (forall @t20 (= @t29 (not (= @t19 @t23))))) % 0.45/0.69 (assume @p30 (forall @t20 (= @t29 (not (= @t26 @t22))))) % 0.45/0.69 (assume @p31 (forall @t20 (= @t29 (not (= @t21 @t30))))) % 0.45/0.69 (assume @p32 (forall @t36 (=> (not (= @t34 @t32)) @t35))) % 0.45/0.69 (assume @p33 (forall @t36 (=> (not (= @t33 @t31)) @t35))) % 0.45/0.69 (assume @p34 (forall @t4 (=> (not (= @t3 (tptp.host @t1))) (not (= @t2 @t1))))) % 0.45/0.69 (assume @p35 (not (tptp.setIn tptp.nil tptp.alive))) % 0.45/0.69 (assume @p36 (forall @t38 (= (tptp.head @t37) @t13))) % 0.45/0.69 (assume @p37 (forall @t38 (= (tptp.tail @t37) @t5))) % 0.45/0.69 (assume @p38 (forall @t40 (= (tptp.last @t39) @t12))) % 0.45/0.69 (assume @p39 (forall @t40 (= (tptp.init @t39) @t5))) % 0.45/0.69 (assume @p40 (forall @t42 (or @t41 (= @t5 (tptp.cons (tptp.head @t5) (tptp.tail @t5)))))) % 0.45/0.69 (assume @p41 (forall @t42 (or @t41 (= @t5 (tptp.snoc (tptp.init @t5) (tptp.last @t5)))))) % 0.45/0.69 (assume @p42 (forall @t38 (not (= tptp.q_nil @t37)))) % 0.45/0.69 (assume @p43 (forall @t40 (not (= tptp.q_nil @t39)))) % 0.45/0.69 (assume @p44 (forall @t45 (= @t44 @t43))) % 0.45/0.69 (assume @p45 (forall @t46 (= (tptp.snoc @t37 @t12) (tptp.cons @t13 @t39)))) % 0.45/0.69 (assume @p46 (forall @t45 (not (tptp.elem @t13 tptp.q_nil)))) % 0.45/0.69 (assume @p47 @t48) % 0.45/0.69 (assume @p48 @t50) % 0.45/0.69 (assume @p49 (forall @t45 (= @t52 (exists @t51 (or (= @t13 @t18) (= @t13 @t30)))))) % 0.45/0.69 (assume @p50 @t54) % 0.45/0.69 (assume @p51 @t56) % 0.45/0.69 (assume @p52 (tptp.ordered tptp.q_nil)) % 0.45/0.69 (assume @p53 (forall @t45 (and (tptp.ordered @t44) (tptp.ordered @t43)))) % 0.45/0.69 (assume @p54 (forall @t38 (= (tptp.ordered @t37) (and @t60 (forall @t51 (=> @t59 (tptp.leq @t58 @t57))))))) % 0.45/0.69 (assume @p55 (forall @t38 (= (tptp.ordered (tptp.snoc @t5 @t13)) (and @t60 (forall @t51 (=> @t59 (tptp.leq @t57 @t58))))))) % 0.45/0.69 (assume @p56 (forall @t61 (=> @t60 (tptp.ordered (tptp.snoc @t5 @t14))))) % 0.45/0.69 (assume @p57 (forall (@list @t5 @t13) (=> @t60 (tptp.ordered (tptp.snoc @t5 @t26))))) % 0.45/0.69 (assume @p58 (forall @t61 (=> (and (tptp.ordered (tptp.cons @t27 @t5)) (= @t64 @t63) (tptp.elem @t30 @t5)) @t62))) % 0.45/0.69 (assume @p59 (forall @t45 (not (tptp.leq @t65 @t13)))) % 0.45/0.69 (assume @p60 (forall @t45 (tptp.leq @t13 @t13))) % 0.45/0.69 (assume @p61 (forall @t20 (or @t62 @t66))) % 0.45/0.69 (assume @p62 (forall @t20 (= (and @t62 @t66) @t28))) % 0.45/0.69 (assume @p63 (forall @t15 (=> (and @t62 (tptp.leq @t12 @t11)) (tptp.leq @t13 @t11)))) % 0.45/0.69 (assume @p64 (forall @t20 (= @t62 (tptp.leq @t65 @t67)))) % 0.45/0.69 (assume @p65 (forall @t20 (= (tptp.leq @t13 @t67) (or (= @t13 @t67) @t62)))) % 0.45/0.69 (assume @p66 (forall @t45 (not (tptp.setIn @t13 tptp.setEmpty)))) % 0.45/0.69 (assume @p67 @t201) % 0.45/0.69 (assume @p68 true) % 0.45/0.69 (step @p69 :rule aci_norm :args ((= (or @t224 @t223 false @t222 @t220 @t108 @t219 @t218 @t217 @t215 @t213 @t212 @t211 @t208 @t206 @t205 @t203) @t225))) % 0.45/0.69 (step @p70 :rule refl :args (@t203)) % 0.45/0.69 (step @p71 :rule refl :args (@t205)) % 0.45/0.69 (step @p72 :rule refl :args (@t206)) % 0.45/0.69 (step @p73 :rule refl :args (@t208)) % 0.45/0.69 (step @p74 :rule refl :args (@t211)) % 0.45/0.69 (step @p75 :rule refl :args (@t212)) % 0.45/0.69 (step @p76 :rule refl :args (@t213)) % 0.45/0.69 (step @p77 :rule refl :args (@t215)) % 0.45/0.69 (step @p78 :rule refl :args (@t217)) % 0.45/0.69 (step @p79 :rule refl :args (@t218)) % 0.45/0.69 (step @p80 :rule refl :args (@t219)) % 0.45/0.69 (step @p81 :rule refl :args (@t108)) % 0.45/0.69 (step @p82 :rule refl :args (@t220)) % 0.45/0.69 (step @p83 :rule refl :args (@t222)) % 0.45/0.69 (step @p84 :rule evaluate :args ((not true))) % 0.45/0.69 (step @p85 :rule eq-refl :args (@t114)) % 0.45/0.69 (step @p86 :rule cong :premises (@p85) :args (@t226)) % 0.45/0.69 (step @p87 :rule trans :premises (@p86 @p84)) % 0.45/0.69 (step @p88 :rule refl :args (@t223)) % 0.45/0.69 (step @p89 :rule refl :args (@t224)) % 0.45/0.69 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70) :args (@t227)) % 0.45/0.69 (step @p91 :rule trans :premises (@p90 @p69)) % 0.45/0.69 (step @p92 :rule cong :premises (@p91) :args ((forall @t228 @t227))) % 0.45/0.69 (step @p93 :rule quant-var-elim-eq :args ((= (forall @t233 @t232) @t227))) % 0.45/0.69 (step @p94 :rule aci_norm :args ((= @t234 @t232))) % 0.45/0.69 (step @p95 :rule cong :premises (@p94) :args (@t235)) % 0.45/0.69 (step @p96 :rule trans :premises (@p95 @p93)) % 0.45/0.69 (step @p97 :rule cong :premises (@p96) :args (@t236)) % 0.45/0.69 (step @p98 :rule quant-merge-prenex :args ((= @t236 @t237))) % 0.45/0.69 (step @p99 :rule symm :premises (@p98)) % 0.45/0.69 (step @p100 :rule quant_var_reordering :args ((= (forall @t238 @t234) @t237))) % 0.45/0.69 (step @p101 :rule trans :premises (@p100 @p99 @p97)) % 0.45/0.69 (step @p102 :rule trans :premises (@p101 @p92)) % 0.45/0.69 (step @p103 :rule eq-symm :args (@t204 @t96)) % 0.45/0.69 (step @p104 :rule cong :premises (@p103) :args (@t239)) % 0.45/0.69 (step @p105 :rule refl :args (@t230)) % 0.45/0.69 (step @p106 :rule refl :args (@t231)) % 0.45/0.69 (step @p107 :rule nary_cong :premises (@p106 @p88 @p105 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p104 @p71 @p70) :args (@t240)) % 0.45/0.69 (step @p108 :rule aci_norm :args ((= @t243 @t240))) % 0.45/0.69 (step @p109 :rule trans :premises (@p108 @p107)) % 0.45/0.69 (step @p110 :rule cong :premises (@p109) :args (@t244)) % 0.45/0.69 (step @p111 :rule trans :premises (@p110 @p102)) % 0.45/0.69 (step @p112 :rule quant-merge-prenex :args ((= (forall @t199 @t245) @t244))) % 0.45/0.69 (step @p113 :rule alpha_equiv :args (@t246 (@list @t202) (@list @t11))) % 0.45/0.69 (step @p114 :rule alpha_equiv :args (@t247 (@list @t207 @t214 @t209) (@list @t70 @t78 @t74))) % 0.45/0.69 (step @p115 :rule refl :args (@t108)) % 0.45/0.69 (step @p116 :rule refl :args (@t220)) % 0.45/0.69 (step @p117 :rule refl :args (@t222)) % 0.45/0.69 (step @p118 :rule refl :args (@t230)) % 0.45/0.69 (step @p119 :rule refl :args (@t223)) % 0.45/0.69 (step @p120 :rule refl :args (@t231)) % 0.45/0.69 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113) :args (@t248)) % 0.45/0.69 (step @p122 :rule quant-miniscope-or :args ((= @t245 @t248))) % 0.45/0.69 (step @p123 :rule trans :premises (@p122 @p121)) % 0.45/0.69 (step @p124 :rule symm :premises (@p123)) % 0.45/0.69 (step @p125 :rule cong :premises (@p124) :args (@t267)) % 0.45/0.69 (step @p126 :rule trans :premises (@p125 @p112)) % 0.45/0.69 (step @p127 :rule trans :premises (@p126 @p111)) % 0.45/0.69 (step @p128 :rule refl :args (@t281)) % 0.45/0.69 (step @p129 :rule refl :args (@t290)) % 0.45/0.69 (step @p130 :rule refl :args (@t294)) % 0.45/0.69 (step @p131 :rule refl :args (@t303)) % 0.45/0.69 (step @p132 :rule refl :args (@t310)) % 0.45/0.69 (step @p133 :rule refl :args (@t317)) % 0.45/0.69 (step @p134 :rule refl :args (@t321)) % 0.45/0.69 (step @p135 :rule refl :args (@t323)) % 0.45/0.69 (step @p136 :rule refl :args (@t325)) % 0.45/0.69 (step @p137 :rule refl :args (@t327)) % 0.45/0.69 (step @p138 :rule nary_cong :premises (@p137 @p136 @p135 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p127) :args (@t328)) % 0.45/0.69 (step @p139 :rule quant-miniscope-or :args ((= (forall @t199 @t329) @t328))) % 0.45/0.69 (step @p140 :rule aci_norm :args ((= @t330 @t329))) % 0.45/0.69 (step @p141 :rule cong :premises (@p140) :args ((forall @t199 @t330))) % 0.45/0.69 (step @p142 :rule trans :premises (@p141 @p139)) % 0.45/0.69 (step @p143 :rule trans :premises (@p142 @p138)) % 0.45/0.69 (step @p144 :rule aci_norm :args ((= (or @t332 @t331) @t330))) % 0.45/0.69 (step @p145 :rule aci_norm :args ((= (or @t223 @t333) @t331))) % 0.45/0.69 (step @p146 :rule aci_norm :args ((= (or @t335 @t334) @t333))) % 0.45/0.69 (step @p147 :rule aci_norm :args ((= (or @t108 @t336) @t334))) % 0.45/0.69 (step @p148 :rule refl :args (@t336)) % 0.45/0.69 (step @p149 :rule bool-double-not-elim :args (@t108)) % 0.45/0.69 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or (not @t109) @t336))) % 0.45/0.69 (step @p151 :rule bool-impl-elim :args (@t109 @t336)) % 0.45/0.69 (step @p152 :rule trans :premises (@p151 @p150)) % 0.45/0.69 (step @p153 :rule trans :premises (@p152 @p147)) % 0.45/0.69 (step @p154 :rule aci_norm :args ((= (or @t230 (or @t222 @t220)) @t335))) % 0.45/0.69 (step @p155 :rule bool-and-de-morgan :args (@t221 @t111 true)) % 0.45/0.69 (step @p156 :rule nary_cong :premises (@p118 @p155) :args ((or @t230 (not (and @t221 @t111))))) % 0.45/0.69 (step @p157 :rule bool-and-de-morgan :args (@t229 @t221 (and @t111))) % 0.45/0.69 (step @p158 :rule trans :premises (@p157 @p156)) % 0.45/0.69 (step @p159 :rule trans :premises (@p158 @p154)) % 0.45/0.69 (step @p160 :rule nary_cong :premises (@p159 @p153) :args ((or (not @t338) @t337))) % 0.45/0.69 (step @p161 :rule trans :premises (@p160 @p146)) % 0.45/0.69 (step @p162 :rule bool-impl-elim :args (@t338 @t337)) % 0.45/0.69 (step @p163 :rule trans :premises (@p162 @p161)) % 0.45/0.69 (step @p164 :rule nary_cong :premises (@p119 @p163) :args ((or @t223 @t339))) % 0.45/0.69 (step @p165 :rule trans :premises (@p164 @p145)) % 0.45/0.69 (step @p166 :rule bool-impl-elim :args (@t117 @t339)) % 0.45/0.69 (step @p167 :rule trans :premises (@p166 @p165)) % 0.45/0.69 (step @p168 :rule aci_norm :args ((= (or @t327 (or @t325 (or @t323 (or @t321 (or @t317 (or @t310 (or @t303 (or @t294 (or @t290 (or @t281 @t231)))))))))) @t332))) % 0.45/0.69 (step @p169 :rule bool-and-de-morgan :args (@t280 @t120 true)) % 0.45/0.69 (step @p170 :rule refl :args (@t290)) % 0.45/0.69 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or @t290 (not (and @t280 @t120))))) % 0.45/0.69 (step @p172 :rule bool-and-de-morgan :args (@t289 @t280 (and @t120))) % 0.45/0.69 (step @p173 :rule trans :premises (@p172 @p171)) % 0.45/0.69 (step @p174 :rule refl :args (@t294)) % 0.45/0.69 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or @t294 (not (and @t289 @t280 @t120))))) % 0.45/0.69 (step @p176 :rule bool-and-de-morgan :args (@t293 @t289 (and @t280 @t120))) % 0.45/0.69 (step @p177 :rule trans :premises (@p176 @p175)) % 0.45/0.69 (step @p178 :rule refl :args (@t303)) % 0.45/0.69 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t303 (not (and @t293 @t289 @t280 @t120))))) % 0.45/0.69 (step @p180 :rule bool-and-de-morgan :args (@t302 @t293 (and @t289 @t280 @t120))) % 0.45/0.69 (step @p181 :rule trans :premises (@p180 @p179)) % 0.45/0.69 (step @p182 :rule refl :args (@t310)) % 0.45/0.69 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t310 (not (and @t302 @t293 @t289 @t280 @t120))))) % 0.45/0.69 (step @p184 :rule bool-and-de-morgan :args (@t309 @t302 (and @t293 @t289 @t280 @t120))) % 0.45/0.69 (step @p185 :rule trans :premises (@p184 @p183)) % 0.45/0.69 (step @p186 :rule refl :args (@t317)) % 0.45/0.69 (step @p187 :rule nary_cong :premises (@p186 @p185) :args ((or @t317 (not (and @t309 @t302 @t293 @t289 @t280 @t120))))) % 0.45/0.69 (step @p188 :rule bool-and-de-morgan :args (@t316 @t309 (and @t302 @t293 @t289 @t280 @t120))) % 0.45/0.69 (step @p189 :rule trans :premises (@p188 @p187)) % 0.45/0.69 (step @p190 :rule refl :args (@t321)) % 0.45/0.69 (step @p191 :rule nary_cong :premises (@p190 @p189) :args ((or @t321 (not (and @t316 @t309 @t302 @t293 @t289 @t280 @t120))))) % 0.45/0.69 (step @p192 :rule bool-and-de-morgan :args (@t320 @t316 (and @t309 @t302 @t293 @t289 @t280 @t120))) % 0.45/0.69 (step @p193 :rule trans :premises (@p192 @p191)) % 0.45/0.69 (step @p194 :rule refl :args (@t323)) % 0.45/0.69 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t323 (not (and @t320 @t316 @t309 @t302 @t293 @t289 @t280 @t120))))) % 0.45/0.69 (step @p196 :rule bool-and-de-morgan :args (@t322 @t320 (and @t316 @t309 @t302 @t293 @t289 @t280 @t120))) % 0.45/0.69 (step @p197 :rule trans :premises (@p196 @p195)) % 0.45/0.69 (step @p198 :rule refl :args (@t325)) % 0.45/0.69 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or @t325 (not (and @t322 @t320 @t316 @t309 @t302 @t293 @t289 @t280 @t120))))) % 0.45/0.69 (step @p200 :rule bool-and-de-morgan :args (@t324 @t322 (and @t320 @t316 @t309 @t302 @t293 @t289 @t280 @t120))) % 0.45/0.69 (step @p201 :rule trans :premises (@p200 @p199)) % 0.45/0.69 (step @p202 :rule refl :args (@t327)) % 0.45/0.69 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or @t327 (not (and @t324 @t322 @t320 @t316 @t309 @t302 @t293 @t289 @t280 @t120))))) % 0.45/0.69 (step @p204 :rule bool-and-de-morgan :args (@t326 @t324 (and @t322 @t320 @t316 @t309 @t302 @t293 @t289 @t280 @t120))) % 0.45/0.69 (step @p205 :rule trans :premises (@p204 @p203)) % 0.45/0.69 (step @p206 :rule trans :premises (@p205 @p168)) % 0.45/0.69 (step @p207 :rule nary_cong :premises (@p206 @p167) :args ((or (not @t341) @t340))) % 0.45/0.69 (step @p208 :rule trans :premises (@p207 @p144)) % 0.45/0.69 (step @p209 :rule bool-impl-elim :args (@t341 @t340)) % 0.45/0.69 (step @p210 :rule trans :premises (@p209 @p208)) % 0.45/0.69 (step @p211 :rule cong :premises (@p210) :args ((forall @t199 (=> @t341 @t340)))) % 0.45/0.69 (step @p212 :rule trans :premises (@p211 @p143)) % 0.45/0.69 (step @p213 :rule quant-miniscope-or :args ((= (forall @t106 @t342) @t336))) % 0.45/0.69 (step @p214 :rule aci_norm :args ((= @t343 @t342))) % 0.45/0.69 (step @p215 :rule cong :premises (@p214) :args ((forall @t106 @t343))) % 0.45/0.69 (step @p216 :rule trans :premises (@p215 @p213)) % 0.45/0.69 (step @p217 :rule aci_norm :args ((= (or @t251 @t344) @t343))) % 0.45/0.69 (step @p218 :rule aci_norm :args ((= (or @t249 @t345) @t344))) % 0.45/0.69 (step @p219 :rule bool-impl-elim :args (@t103 @t345)) % 0.45/0.69 (step @p220 :rule trans :premises (@p219 @p218)) % 0.45/0.69 (step @p221 :rule refl :args (@t251)) % 0.45/0.69 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or @t251 @t346))) % 0.45/0.69 (step @p223 :rule trans :premises (@p222 @p217)) % 0.45/0.69 (step @p224 :rule bool-impl-elim :args (@t250 @t346)) % 0.45/0.69 (step @p225 :rule trans :premises (@p224 @p223)) % 0.45/0.69 (step @p226 :rule cong :premises (@p225) :args ((forall @t106 (=> @t250 @t346)))) % 0.45/0.69 (step @p227 :rule trans :premises (@p226 @p216)) % 0.45/0.69 (step @p228 :rule quant-miniscope-or :args ((= (forall @t100 @t347) @t345))) % 0.45/0.69 (step @p229 :rule aci_norm :args ((= @t348 @t347))) % 0.45/0.69 (step @p230 :rule cong :premises (@p229) :args ((forall @t100 @t348))) % 0.45/0.69 (step @p231 :rule trans :premises (@p230 @p228)) % 0.45/0.69 (step @p232 :rule aci_norm :args ((= (or @t97 @t349) @t348))) % 0.45/0.69 (step @p233 :rule aci_norm :args ((= (or @t92 @t350) @t349))) % 0.45/0.69 (step @p234 :rule aci_norm :args ((= (or @t351 (or @t181 @t254)) @t350))) % 0.45/0.69 (step @p235 :rule bool-and-de-morgan :args (@t72 @t71 true)) % 0.45/0.69 (step @p236 :rule aci_norm :args ((= (or @t263 (or @t260 (or @t259 (or @t258 @t256)))) @t351))) % 0.45/0.69 (step @p237 :rule bool-and-de-morgan :args (@t257 @t255 true)) % 0.45/0.69 (step @p238 :rule refl :args (@t259)) % 0.45/0.69 (step @p239 :rule nary_cong :premises (@p238 @p237) :args ((or @t259 (not (and @t257 @t255))))) % 0.45/0.69 (step @p240 :rule bool-and-de-morgan :args (@t77 @t257 (and @t255))) % 0.45/0.69 (step @p241 :rule trans :premises (@p240 @p239)) % 0.45/0.69 (step @p242 :rule refl :args (@t260)) % 0.45/0.69 (step @p243 :rule nary_cong :premises (@p242 @p241) :args ((or @t260 (not (and @t77 @t257 @t255))))) % 0.45/0.69 (step @p244 :rule bool-and-de-morgan :args (@t79 @t77 (and @t257 @t255))) % 0.45/0.69 (step @p245 :rule trans :premises (@p244 @p243)) % 0.45/0.69 (step @p246 :rule refl :args (@t263)) % 0.45/0.69 (step @p247 :rule nary_cong :premises (@p246 @p245) :args ((or @t263 (not (and @t79 @t77 @t257 @t255))))) % 0.45/0.69 (step @p248 :rule bool-and-de-morgan :args (@t262 @t79 (and @t77 @t257 @t255))) % 0.45/0.69 (step @p249 :rule trans :premises (@p248 @p247)) % 0.45/0.69 (step @p250 :rule trans :premises (@p249 @p236)) % 0.45/0.69 (step @p251 :rule nary_cong :premises (@p250 @p235) :args ((or (not @t352) @t73))) % 0.45/0.69 (step @p252 :rule trans :premises (@p251 @p234)) % 0.45/0.69 (step @p253 :rule bool-impl-elim :args (@t352 @t73)) % 0.45/0.69 (step @p254 :rule trans :premises (@p253 @p252)) % 0.45/0.69 (step @p255 :rule refl :args (@t92)) % 0.45/0.69 (step @p256 :rule nary_cong :premises (@p255 @p254) :args ((or @t92 @t353))) % 0.45/0.69 (step @p257 :rule trans :premises (@p256 @p233)) % 0.45/0.69 (step @p258 :rule refl :args (@t353)) % 0.45/0.69 (step @p259 :rule bool-double-not-elim :args (@t92)) % 0.45/0.69 (step @p260 :rule nary_cong :premises (@p259 @p258) :args ((or (not @t93) @t353))) % 0.45/0.69 (step @p261 :rule bool-impl-elim :args (@t93 @t353)) % 0.45/0.69 (step @p262 :rule trans :premises (@p261 @p260)) % 0.45/0.69 (step @p263 :rule trans :premises (@p262 @p257)) % 0.45/0.69 (step @p264 :rule refl :args (@t97)) % 0.45/0.69 (step @p265 :rule nary_cong :premises (@p264 @p263) :args ((or @t97 @t354))) % 0.45/0.69 (step @p266 :rule trans :premises (@p265 @p232)) % 0.45/0.69 (step @p267 :rule refl :args (@t354)) % 0.45/0.69 (step @p268 :rule bool-double-not-elim :args (@t97)) % 0.45/0.69 (step @p269 :rule nary_cong :premises (@p268 @p267) :args ((or (not @t98) @t354))) % 0.45/0.69 (step @p270 :rule bool-impl-elim :args (@t98 @t354)) % 0.45/0.69 (step @p271 :rule trans :premises (@p270 @p269)) % 0.45/0.69 (step @p272 :rule trans :premises (@p271 @p266)) % 0.45/0.69 (step @p273 :rule cong :premises (@p272) :args ((forall @t100 (=> @t98 @t354)))) % 0.45/0.69 (step @p274 :rule trans :premises (@p273 @p231)) % 0.45/0.69 (step @p275 :rule refl :args (@t73)) % 0.45/0.69 (step @p276 :rule eq-symm :args (@t76 tptp.elec_1)) % 0.45/0.69 (step @p277 :rule eq-symm :args (@t75 tptp.nbr_proc)) % 0.45/0.69 (step @p278 :rule refl :args (@t77)) % 0.45/0.69 (step @p279 :rule refl :args (@t79)) % 0.45/0.69 (step @p280 :rule aci_norm :args ((= (or (or @t85 @t216) @t83) @t261))) % 0.45/0.69 (step @p281 :rule refl :args (@t83)) % 0.45/0.69 (step @p282 :rule refl :args (@t216)) % 0.45/0.69 (step @p283 :rule bool-double-not-elim :args (@t85)) % 0.45/0.69 (step @p284 :rule nary_cong :premises (@p283 @p282) :args ((or (not @t86) @t216))) % 0.45/0.69 (step @p285 :rule bool-and-de-morgan :args (@t86 @t84 true)) % 0.45/0.69 (step @p286 :rule trans :premises (@p285 @p284)) % 0.45/0.69 (step @p287 :rule nary_cong :premises (@p286 @p281) :args ((or (not @t87) @t83))) % 0.45/0.69 (step @p288 :rule trans :premises (@p287 @p280)) % 0.45/0.69 (step @p289 :rule bool-impl-elim :args (@t87 @t83)) % 0.45/0.69 (step @p290 :rule trans :premises (@p289 @p288)) % 0.45/0.69 (step @p291 :rule cong :premises (@p290) :args (@t89)) % 0.45/0.69 (step @p292 :rule nary_cong :premises (@p291 @p279 @p278 @p277 @p276) :args (@t90)) % 0.45/0.69 (step @p293 :rule cong :premises (@p292 @p275) :args (@t91)) % 0.45/0.69 (step @p294 :rule refl :args (@t93)) % 0.45/0.69 (step @p295 :rule cong :premises (@p294 @p293) :args (@t94)) % 0.45/0.69 (step @p296 :rule refl :args (@t98)) % 0.45/0.69 (step @p297 :rule cong :premises (@p296 @p295) :args (@t99)) % 0.45/0.69 (step @p298 :rule cong :premises (@p297) :args (@t101)) % 0.45/0.69 (step @p299 :rule trans :premises (@p298 @p274)) % 0.45/0.69 (step @p300 :rule refl :args (@t103)) % 0.45/0.69 (step @p301 :rule cong :premises (@p300 @p299) :args (@t104)) % 0.45/0.69 (step @p302 :rule eq-symm :args (@t96 @t102)) % 0.45/0.69 (step @p303 :rule cong :premises (@p302 @p301) :args (@t105)) % 0.45/0.69 (step @p304 :rule cong :premises (@p303) :args (@t107)) % 0.45/0.69 (step @p305 :rule trans :premises (@p304 @p227)) % 0.45/0.69 (step @p306 :rule refl :args (@t109)) % 0.45/0.69 (step @p307 :rule cong :premises (@p306 @p305) :args (@t110)) % 0.45/0.69 (step @p308 :rule refl :args (@t111)) % 0.45/0.69 (step @p309 :rule eq-symm :args (@t112 tptp.elec_2)) % 0.45/0.69 (step @p310 :rule eq-symm :args (@t114 @t113)) % 0.45/0.69 (step @p311 :rule nary_cong :premises (@p310 @p309 @p308) :args (@t115)) % 0.45/0.69 (step @p312 :rule cong :premises (@p311 @p307) :args (@t116)) % 0.45/0.69 (step @p313 :rule refl :args (@t117)) % 0.45/0.69 (step @p314 :rule cong :premises (@p313 @p312) :args (@t118)) % 0.45/0.69 (step @p315 :rule refl :args (@t120)) % 0.45/0.69 (step @p316 :rule aci_norm :args ((= (or @t355 (or @t181 @t268)) @t279))) % 0.45/0.69 (step @p317 :rule bool-and-de-morgan :args (@t72 @t124 true)) % 0.45/0.69 (step @p318 :rule aci_norm :args ((= (or @t278 (or @t274 (or @t273 (or @t271 @t270)))) @t355))) % 0.45/0.69 (step @p319 :rule bool-and-de-morgan :args (@t130 @t269 true)) % 0.45/0.69 (step @p320 :rule refl :args (@t273)) % 0.45/0.69 (step @p321 :rule nary_cong :premises (@p320 @p319) :args ((or @t273 (not (and @t130 @t269))))) % 0.45/0.69 (step @p322 :rule bool-and-de-morgan :args (@t272 @t130 (and @t269))) % 0.45/0.69 (step @p323 :rule trans :premises (@p322 @p321)) % 0.45/0.69 (step @p324 :rule refl :args (@t274)) % 0.45/0.69 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or @t274 (not (and @t272 @t130 @t269))))) % 0.45/0.69 (step @p326 :rule bool-and-de-morgan :args (@t134 @t272 (and @t130 @t269))) % 0.45/0.69 (step @p327 :rule trans :premises (@p326 @p325)) % 0.45/0.69 (step @p328 :rule refl :args (@t278)) % 0.45/0.69 (step @p329 :rule nary_cong :premises (@p328 @p327) :args ((or @t278 (not (and @t134 @t272 @t130 @t269))))) % 0.45/0.69 (step @p330 :rule bool-and-de-morgan :args (@t277 @t134 (and @t272 @t130 @t269))) % 0.45/0.69 (step @p331 :rule trans :premises (@p330 @p329)) % 0.45/0.69 (step @p332 :rule trans :premises (@p331 @p318)) % 0.45/0.69 (step @p333 :rule nary_cong :premises (@p332 @p317) :args ((or (not @t356) @t125))) % 0.45/0.69 (step @p334 :rule trans :premises (@p333 @p316)) % 0.45/0.69 (step @p335 :rule bool-impl-elim :args (@t356 @t125)) % 0.45/0.69 (step @p336 :rule trans :premises (@p335 @p334)) % 0.45/0.69 (step @p337 :rule cong :premises (@p336) :args ((forall @t145 (=> @t356 @t125)))) % 0.45/0.69 (step @p338 :rule refl :args (@t125)) % 0.45/0.69 (step @p339 :rule eq-symm :args (@t128 tptp.elec_1)) % 0.45/0.69 (step @p340 :rule refl :args (@t130)) % 0.45/0.69 (step @p341 :rule eq-symm :args (@t127 tptp.nbr_proc)) % 0.45/0.69 (step @p342 :rule refl :args (@t134)) % 0.45/0.69 (step @p343 :rule aci_norm :args ((= (or (or @t138 @t216) @t357) @t276))) % 0.45/0.69 (step @p344 :rule refl :args (@t357)) % 0.45/0.69 (step @p345 :rule bool-double-not-elim :args (@t138)) % 0.45/0.69 (step @p346 :rule nary_cong :premises (@p345 @p282) :args ((or (not @t139) @t216))) % 0.45/0.69 (step @p347 :rule bool-and-de-morgan :args (@t139 @t84 true)) % 0.45/0.69 (step @p348 :rule trans :premises (@p347 @p346)) % 0.45/0.69 (step @p349 :rule nary_cong :premises (@p348 @p344) :args ((or (not @t140) @t357))) % 0.45/0.69 (step @p350 :rule trans :premises (@p349 @p343)) % 0.45/0.69 (step @p351 :rule bool-impl-elim :args (@t140 @t357)) % 0.45/0.69 (step @p352 :rule trans :premises (@p351 @p350)) % 0.45/0.69 (step @p353 :rule cong :premises (@p352) :args ((forall @t88 (=> @t140 @t357)))) % 0.45/0.69 (step @p354 :rule eq-symm :args (@t80 @t135)) % 0.45/0.69 (step @p355 :rule refl :args (@t136)) % 0.45/0.69 (step @p356 :rule nary_cong :premises (@p355 @p354) :args (@t137)) % 0.45/0.69 (step @p357 :rule refl :args (@t140)) % 0.45/0.69 (step @p358 :rule cong :premises (@p357 @p356) :args (@t141)) % 0.45/0.69 (step @p359 :rule cong :premises (@p358) :args (@t142)) % 0.45/0.69 (step @p360 :rule trans :premises (@p359 @p353)) % 0.45/0.69 (step @p361 :rule nary_cong :premises (@p360 @p342 @p341 @p340 @p339) :args (@t143)) % 0.45/0.69 (step @p362 :rule cong :premises (@p361 @p338) :args (@t144)) % 0.45/0.69 (step @p363 :rule cong :premises (@p362) :args (@t146)) % 0.45/0.69 (step @p364 :rule trans :premises (@p363 @p337)) % 0.45/0.69 (step @p365 :rule aci_norm :args ((= (or @t358 (or @t283 @t282)) @t288))) % 0.45/0.69 (step @p366 :rule bool-and-de-morgan :args (@t148 @t147 true)) % 0.45/0.69 (step @p367 :rule refl :args (@t165)) % 0.45/0.69 (step @p368 :rule refl :args (@t285)) % 0.45/0.69 (step @p369 :rule refl :args (@t286)) % 0.45/0.69 (step @p370 :rule refl :args (@t181)) % 0.45/0.69 (step @p371 :rule bool-double-not-elim :args (@t287)) % 0.45/0.69 (step @p372 :rule nary_cong :premises (@p371 @p370 @p369 @p368 @p367) :args (@t361)) % 0.45/0.69 (step @p373 :rule aci_norm :args ((= (or @t360 (or @t181 (or @t286 (or @t285 @t165)))) @t361))) % 0.45/0.69 (step @p374 :rule trans :premises (@p373 @p372)) % 0.45/0.69 (step @p375 :rule bool-and-de-morgan :args (@t284 @t150 true)) % 0.45/0.69 (step @p376 :rule nary_cong :premises (@p369 @p375) :args ((or @t286 (not (and @t284 @t150))))) % 0.45/0.69 (step @p377 :rule bool-and-de-morgan :args (@t151 @t284 (and @t150))) % 0.45/0.69 (step @p378 :rule trans :premises (@p377 @p376)) % 0.45/0.69 (step @p379 :rule nary_cong :premises (@p370 @p378) :args ((or @t181 (not (and @t151 @t284 @t150))))) % 0.45/0.69 (step @p380 :rule bool-and-de-morgan :args (@t72 @t151 (and @t284 @t150))) % 0.45/0.69 (step @p381 :rule trans :premises (@p380 @p379)) % 0.45/0.69 (step @p382 :rule refl :args (@t360)) % 0.45/0.69 (step @p383 :rule nary_cong :premises (@p382 @p381) :args ((or @t360 (not (and @t72 @t151 @t284 @t150))))) % 0.45/0.69 (step @p384 :rule bool-and-de-morgan :args (@t359 @t72 (and @t151 @t284 @t150))) % 0.45/0.69 (step @p385 :rule trans :premises (@p384 @p383)) % 0.45/0.69 (step @p386 :rule trans :premises (@p385 @p374)) % 0.45/0.69 (step @p387 :rule nary_cong :premises (@p386 @p366) :args ((or @t363 @t149))) % 0.45/0.69 (step @p388 :rule trans :premises (@p387 @p365)) % 0.45/0.69 (step @p389 :rule bool-impl-elim :args (@t362 @t149)) % 0.45/0.69 (step @p390 :rule trans :premises (@p389 @p388)) % 0.45/0.69 (step @p391 :rule cong :premises (@p390) :args ((forall @t145 (=> @t362 @t149)))) % 0.45/0.69 (step @p392 :rule refl :args (@t149)) % 0.45/0.69 (step @p393 :rule refl :args (@t150)) % 0.45/0.69 (step @p394 :rule eq-symm :args (@t129 @t102)) % 0.45/0.69 (step @p395 :rule refl :args (@t151)) % 0.45/0.69 (step @p396 :rule refl :args (@t72)) % 0.45/0.69 (step @p397 :rule eq-symm :args (@t135 @t102)) % 0.45/0.69 (step @p398 :rule cong :premises (@p397) :args (@t152)) % 0.45/0.69 (step @p399 :rule nary_cong :premises (@p398 @p396 @p395 @p394 @p393) :args (@t153)) % 0.45/0.69 (step @p400 :rule cong :premises (@p399 @p392) :args (@t154)) % 0.45/0.69 (step @p401 :rule cong :premises (@p400) :args (@t155)) % 0.45/0.69 (step @p402 :rule trans :premises (@p401 @p391)) % 0.45/0.69 (step @p403 :rule aci_norm :args ((= (or @t358 (or @t283 @t291)) @t292))) % 0.45/0.69 (step @p404 :rule bool-and-de-morgan :args (@t148 @t157 true)) % 0.45/0.69 (step @p405 :rule nary_cong :premises (@p386 @p404) :args ((or @t363 @t158))) % 0.45/0.69 (step @p406 :rule trans :premises (@p405 @p403)) % 0.45/0.69 (step @p407 :rule bool-impl-elim :args (@t362 @t158)) % 0.45/0.69 (step @p408 :rule trans :premises (@p407 @p406)) % 0.45/0.69 (step @p409 :rule cong :premises (@p408) :args ((forall @t145 (=> @t362 @t158)))) % 0.45/0.69 (step @p410 :rule refl :args (@t158)) % 0.45/0.69 (step @p411 :rule cong :premises (@p399 @p410) :args (@t159)) % 0.45/0.69 (step @p412 :rule cong :premises (@p411) :args (@t160)) % 0.45/0.69 (step @p413 :rule trans :premises (@p412 @p409)) % 0.45/0.69 (step @p414 :rule aci_norm :args ((= (or (or @t150 @t180 @t300 @t298 @t296) @t161) @t301))) % 0.45/0.69 (step @p415 :rule refl :args (@t161)) % 0.45/0.69 (step @p416 :rule refl :args (@t296)) % 0.45/0.69 (step @p417 :rule refl :args (@t298)) % 0.45/0.69 (step @p418 :rule refl :args (@t300)) % 0.45/0.69 (step @p419 :rule refl :args (@t180)) % 0.45/0.69 (step @p420 :rule bool-double-not-elim :args (@t150)) % 0.45/0.69 (step @p421 :rule nary_cong :premises (@p420 @p419 @p418 @p417 @p416) :args (@t365)) % 0.45/0.69 (step @p422 :rule aci_norm :args ((= (or @t364 (or @t180 (or @t300 (or @t298 @t296)))) @t365))) % 0.45/0.69 (step @p423 :rule trans :premises (@p422 @p421)) % 0.45/0.69 (step @p424 :rule bool-and-de-morgan :args (@t297 @t295 true)) % 0.45/0.69 (step @p425 :rule nary_cong :premises (@p418 @p424) :args ((or @t300 (not (and @t297 @t295))))) % 0.45/0.69 (step @p426 :rule bool-and-de-morgan :args (@t299 @t297 (and @t295))) % 0.45/0.69 (step @p427 :rule trans :premises (@p426 @p425)) % 0.45/0.69 (step @p428 :rule nary_cong :premises (@p419 @p427) :args ((or @t180 (not (and @t299 @t297 @t295))))) % 0.45/0.69 (step @p429 :rule bool-and-de-morgan :args (@t164 @t299 (and @t297 @t295))) % 0.45/0.69 (step @p430 :rule trans :premises (@p429 @p428)) % 0.45/0.69 (step @p431 :rule refl :args (@t364)) % 0.45/0.69 (step @p432 :rule nary_cong :premises (@p431 @p430) :args ((or @t364 (not (and @t164 @t299 @t297 @t295))))) % 0.45/0.69 (step @p433 :rule bool-and-de-morgan :args (@t165 @t164 (and @t299 @t297 @t295))) % 0.45/0.69 (step @p434 :rule trans :premises (@p433 @p432)) % 0.45/0.69 (step @p435 :rule trans :premises (@p434 @p423)) % 0.45/0.69 (step @p436 :rule nary_cong :premises (@p435 @p415) :args ((or (not @t366) @t161))) % 0.45/0.69 (step @p437 :rule trans :premises (@p436 @p414)) % 0.45/0.69 (step @p438 :rule bool-impl-elim :args (@t366 @t161)) % 0.45/0.69 (step @p439 :rule trans :premises (@p438 @p437)) % 0.45/0.69 (step @p440 :rule cong :premises (@p439) :args ((forall @t168 (=> @t366 @t161)))) % 0.45/0.69 (step @p441 :rule refl :args (@t161)) % 0.45/0.69 (step @p442 :rule eq-symm :args (@t162 @t135)) % 0.45/0.69 (step @p443 :rule eq-symm :args (@t128 tptp.wait)) % 0.45/0.69 (step @p444 :rule eq-symm :args (@t127 @t102)) % 0.45/0.69 (step @p445 :rule refl :args (@t164)) % 0.45/0.69 (step @p446 :rule refl :args (@t165)) % 0.45/0.69 (step @p447 :rule nary_cong :premises (@p446 @p445 @p444 @p443 @p442) :args (@t166)) % 0.45/0.69 (step @p448 :rule cong :premises (@p447 @p441) :args (@t167)) % 0.45/0.69 (step @p449 :rule cong :premises (@p448) :args (@t169)) % 0.45/0.69 (step @p450 :rule trans :premises (@p449 @p440)) % 0.45/0.69 (step @p451 :rule aci_norm :args ((= (or (or @t150 @t180 @t300 @t307 @t305) @t161) @t308))) % 0.45/0.69 (step @p452 :rule refl :args (@t305)) % 0.45/0.69 (step @p453 :rule refl :args (@t307)) % 0.45/0.69 (step @p454 :rule nary_cong :premises (@p420 @p419 @p418 @p453 @p452) :args (@t367)) % 0.45/0.69 (step @p455 :rule aci_norm :args ((= (or @t364 (or @t180 (or @t300 (or @t307 @t305)))) @t367))) % 0.45/0.69 (step @p456 :rule trans :premises (@p455 @p454)) % 0.45/0.69 (step @p457 :rule bool-and-de-morgan :args (@t306 @t304 true)) % 0.45/0.69 (step @p458 :rule nary_cong :premises (@p418 @p457) :args ((or @t300 (not (and @t306 @t304))))) % 0.45/0.69 (step @p459 :rule bool-and-de-morgan :args (@t299 @t306 (and @t304))) % 0.45/0.69 (step @p460 :rule trans :premises (@p459 @p458)) % 0.45/0.69 (step @p461 :rule nary_cong :premises (@p419 @p460) :args ((or @t180 (not (and @t299 @t306 @t304))))) % 0.45/0.69 (step @p462 :rule bool-and-de-morgan :args (@t164 @t299 (and @t306 @t304))) % 0.45/0.69 (step @p463 :rule trans :premises (@p462 @p461)) % 0.45/0.69 (step @p464 :rule nary_cong :premises (@p431 @p463) :args ((or @t364 (not (and @t164 @t299 @t306 @t304))))) % 0.45/0.69 (step @p465 :rule bool-and-de-morgan :args (@t165 @t164 (and @t299 @t306 @t304))) % 0.45/0.69 (step @p466 :rule trans :premises (@p465 @p464)) % 0.45/0.69 (step @p467 :rule trans :premises (@p466 @p456)) % 0.45/0.69 (step @p468 :rule nary_cong :premises (@p467 @p415) :args ((or (not @t368) @t161))) % 0.45/0.69 (step @p469 :rule trans :premises (@p468 @p451)) % 0.45/0.69 (step @p470 :rule bool-impl-elim :args (@t368 @t161)) % 0.45/0.69 (step @p471 :rule trans :premises (@p470 @p469)) % 0.45/0.69 (step @p472 :rule cong :premises (@p471) :args ((forall @t168 (=> @t368 @t161)))) % 0.45/0.69 (step @p473 :rule eq-symm :args (@t170 @t135)) % 0.45/0.69 (step @p474 :rule eq-symm :args (@t128 tptp.norm)) % 0.45/0.69 (step @p475 :rule nary_cong :premises (@p446 @p445 @p444 @p474 @p473) :args (@t171)) % 0.45/0.69 (step @p476 :rule cong :premises (@p475 @p441) :args (@t172)) % 0.45/0.69 (step @p477 :rule cong :premises (@p476) :args (@t173)) % 0.45/0.69 (step @p478 :rule trans :premises (@p477 @p472)) % 0.45/0.69 (step @p479 :rule aci_norm :args ((= (or (or @t314 @t181) @t311) @t315))) % 0.45/0.69 (step @p480 :rule refl :args (@t311)) % 0.45/0.69 (step @p481 :rule bool-or-de-morgan :args (@t313 @t312 false)) % 0.45/0.69 (step @p482 :rule nary_cong :premises (@p481 @p370) :args ((or (not @t369) @t181))) % 0.45/0.69 (step @p483 :rule bool-and-de-morgan :args (@t369 @t72 true)) % 0.45/0.69 (step @p484 :rule trans :premises (@p483 @p482)) % 0.45/0.69 (step @p485 :rule nary_cong :premises (@p484 @p480) :args ((or (not @t370) @t311))) % 0.45/0.69 (step @p486 :rule trans :premises (@p485 @p479)) % 0.45/0.69 (step @p487 :rule bool-impl-elim :args (@t370 @t311)) % 0.45/0.69 (step @p488 :rule trans :premises (@p487 @p486)) % 0.45/0.69 (step @p489 :rule cong :premises (@p488) :args ((forall @t106 (=> @t370 @t311)))) % 0.45/0.69 (step @p490 :rule eq-symm :args (@t174 @t11)) % 0.45/0.69 (step @p491 :rule eq-symm :args (@t175 tptp.elec_2)) % 0.45/0.69 (step @p492 :rule eq-symm :args (@t175 tptp.elec_1)) % 0.45/0.69 (step @p493 :rule nary_cong :premises (@p492 @p491) :args (@t176)) % 0.45/0.69 (step @p494 :rule nary_cong :premises (@p493 @p396) :args (@t177)) % 0.45/0.69 (step @p495 :rule cong :premises (@p494 @p490) :args (@t178)) % 0.45/0.69 (step @p496 :rule cong :premises (@p495) :args (@t179)) % 0.45/0.69 (step @p497 :rule trans :premises (@p496 @p489)) % 0.45/0.69 (step @p498 :rule aci_norm :args ((= (or (or @t318 @t300) @t182) @t319))) % 0.45/0.69 (step @p499 :rule refl :args (@t182)) % 0.45/0.69 (step @p500 :rule bool-double-not-elim :args (@t318)) % 0.45/0.69 (step @p501 :rule nary_cong :premises (@p500 @p418) :args ((or (not @t371) @t300))) % 0.45/0.69 (step @p502 :rule bool-and-de-morgan :args (@t371 @t299 true)) % 0.45/0.69 (step @p503 :rule trans :premises (@p502 @p501)) % 0.45/0.69 (step @p504 :rule nary_cong :premises (@p503 @p499) :args ((or (not @t372) @t182))) % 0.45/0.69 (step @p505 :rule trans :premises (@p504 @p498)) % 0.45/0.69 (step @p506 :rule bool-impl-elim :args (@t372 @t182)) % 0.45/0.69 (step @p507 :rule trans :premises (@p506 @p505)) % 0.45/0.69 (step @p508 :rule cong :premises (@p507) :args ((forall @t186 (=> @t372 @t182)))) % 0.45/0.69 (step @p509 :rule refl :args (@t182)) % 0.45/0.69 (step @p510 :rule eq-symm :args (@t126 @t11)) % 0.45/0.69 (step @p511 :rule cong :premises (@p510) :args (@t183)) % 0.45/0.69 (step @p512 :rule nary_cong :premises (@p511 @p444) :args (@t184)) % 0.45/0.69 (step @p513 :rule cong :premises (@p512 @p509) :args (@t185)) % 0.45/0.69 (step @p514 :rule cong :premises (@p513) :args (@t187)) % 0.45/0.69 (step @p515 :rule trans :premises (@p514 @p508)) % 0.45/0.69 (step @p516 :rule bool-impl-elim :args (@t272 @t188)) % 0.45/0.69 (step @p517 :rule cong :premises (@p516) :args ((forall @t186 (=> @t272 @t188)))) % 0.45/0.69 (step @p518 :rule refl :args (@t188)) % 0.45/0.69 (step @p519 :rule cong :premises (@p341 @p518) :args (@t189)) % 0.45/0.69 (step @p520 :rule cong :premises (@p519) :args (@t190)) % 0.45/0.69 (step @p521 :rule trans :premises (@p520 @p517)) % 0.45/0.69 (step @p522 :rule bool-impl-elim :args (@t148 @t300)) % 0.45/0.69 (step @p523 :rule cong :premises (@p522) :args ((forall @t186 (=> @t148 @t300)))) % 0.45/0.69 (step @p524 :rule cong :premises (@p444) :args (@t191)) % 0.45/0.69 (step @p525 :rule refl :args (@t148)) % 0.45/0.69 (step @p526 :rule cong :premises (@p525 @p524) :args (@t192)) % 0.45/0.69 (step @p527 :rule cong :premises (@p526) :args (@t193)) % 0.45/0.69 (step @p528 :rule trans :premises (@p527 @p523)) % 0.45/0.69 (step @p529 :rule bool-impl-elim :args (@t195 @t194)) % 0.45/0.69 (step @p530 :rule cong :premises (@p529) :args (@t196)) % 0.45/0.69 (step @p531 :rule nary_cong :premises (@p530 @p528 @p521 @p515 @p497 @p478 @p450 @p413 @p402 @p364 @p315) :args (@t197)) % 0.45/0.69 (step @p532 :rule cong :premises (@p531 @p314) :args (@t198)) % 0.45/0.69 (step @p533 :rule cong :premises (@p532) :args (@t200)) % 0.45/0.69 (step @p534 :rule trans :premises (@p533 @p212)) % 0.45/0.69 (step @p535 :rule cong :premises (@p534) :args (@t201)) % 0.45/0.69 (step @p536 :rule eq_resolve :premises (@p67 @p535)) % 0.45/0.69 (step @p537 :rule not_or_elim :premises (@p536) :args (10)) % 0.45/0.69 (step @p538 :rule skolemize :premises (@p537)) % 0.45/0.69 (step @p539 :rule bool-double-not-elim :args (@t381)) % 0.45/0.69 (step @p540 :rule refl :args (@t411)) % 0.45/0.69 (step @p541 :rule nary_cong :premises (@p540 @p539) :args ((or @t411 (not @t410)))) % 0.45/0.69 (step @p542 :rule cnf_or_neg :args (@t411 0)) % 0.45/0.69 (step @p543 :rule eq_resolve :premises (@p542 @p541)) % 0.45/0.69 (step @p544 :rule reordering :premises (@p543) :args ((or @t381 @t411))) % 0.45/0.69 (step @p545 :rule chain_m_resolution :premises (@p544 @p538) :args (@t381 @t412 @t413)) % 0.45/0.69 (step @p546 :rule not_or_elim :premises (@p536) :args (9)) % 0.45/0.69 (step @p547 :rule not_not_elim :premises (@p546)) % 0.45/0.69 (step @p548 :rule refl :args (@t415)) % 0.45/0.69 (step @p549 :rule refl :args (@t409)) % 0.45/0.69 (step @p550 :rule refl :args (@t394)) % 0.45/0.69 (step @p551 :rule refl :args (@t398)) % 0.45/0.69 (step @p552 :rule refl :args (@t396)) % 0.45/0.69 (step @p553 :rule refl :args (@t401)) % 0.45/0.69 (step @p554 :rule eq-symm :args (@t402 @t80)) % 0.45/0.69 (step @p555 :rule refl :args (@t403)) % 0.45/0.69 (step @p556 :rule refl :args (@t216)) % 0.45/0.69 (step @p557 :rule refl :args (@t404)) % 0.45/0.69 (step @p558 :rule nary_cong :premises (@p557 @p556 @p555 @p554) :args (@t416)) % 0.45/0.69 (step @p559 :rule cong :premises (@p558) :args (@t417)) % 0.45/0.69 (step @p560 :rule cong :premises (@p559) :args (@t418)) % 0.45/0.69 (step @p561 :rule nary_cong :premises (@p560 @p553 @p552 @p551 @p550 @p549 @p548) :args (@t419)) % 0.45/0.69 (step @p562 :rule refl :args (@t280)) % 0.45/0.69 (step @p563 :rule cong :premises (@p562 @p561) :args ((=> @t280 @t419))) % 0.45/0.69 (assume-push @p729 @t280) % 0.45/0.69 (step @p565 :rule instantiate :premises (@p547) :args ((@list @t376 @t387 @t399 @t391))) % 0.45/0.69 (step-pop @p730 :rule scope :premises (@p565)) % 0.45/0.69 (step @p566 :rule process_scope :premises (@p730) :args (@t419)) % 0.45/0.69 (step @p568 :rule eq_resolve :premises (@p566 @p563)) % 0.45/0.69 (step @p569 :rule implies_elim :premises (@p568)) % 0.45/0.69 (step @p570 :rule chain_m_resolution :premises (@p569 @p547) :args (@t420 @t421 (@list @t280))) % 0.45/0.69 (step @p571 :rule bool-double-not-elim :args (@t393)) % 0.45/0.69 (step @p572 :rule nary_cong :premises (@p540 @p571) :args ((or @t411 (not @t394)))) % 0.45/0.69 (step @p573 :rule cnf_or_neg :args (@t411 11)) % 0.45/0.69 (step @p574 :rule eq_resolve :premises (@p573 @p572)) % 0.45/0.69 (step @p575 :rule reordering :premises (@p574) :args ((or @t393 @t411))) % 0.45/0.69 (step @p576 :rule chain_m_resolution :premises (@p575 @p538) :args (@t393 @t412 @t413)) % 0.45/0.69 (step @p577 :rule bool-double-not-elim :args (@t395)) % 0.45/0.69 (step @p578 :rule nary_cong :premises (@p540 @p577) :args ((or @t411 (not @t396)))) % 0.45/0.69 (step @p579 :rule cnf_or_neg :args (@t411 10)) % 0.45/0.69 (step @p580 :rule eq_resolve :premises (@p579 @p578)) % 0.45/0.69 (step @p581 :rule reordering :premises (@p580) :args ((or @t395 @t411))) % 0.45/0.69 (step @p582 :rule chain_m_resolution :premises (@p581 @p538) :args (@t395 @t412 @t413)) % 0.45/0.69 (step @p583 :rule bool-double-not-elim :args (@t397)) % 0.45/0.69 (step @p584 :rule nary_cong :premises (@p540 @p583) :args ((or @t411 (not @t398)))) % 0.45/0.69 (step @p585 :rule cnf_or_neg :args (@t411 9)) % 0.45/0.69 (step @p586 :rule eq_resolve :premises (@p585 @p584)) % 0.45/0.69 (step @p587 :rule reordering :premises (@p586) :args ((or @t397 @t411))) % 0.45/0.69 (step @p588 :rule chain_m_resolution :premises (@p587 @p538) :args (@t397 @t412 @t413)) % 0.45/0.69 (step @p589 :rule bool-double-not-elim :args (@t400)) % 0.45/0.69 (step @p590 :rule nary_cong :premises (@p540 @p589) :args ((or @t411 (not @t401)))) % 0.45/0.69 (step @p591 :rule cnf_or_neg :args (@t411 8)) % 0.45/0.69 (step @p592 :rule eq_resolve :premises (@p591 @p590)) % 0.45/0.69 (step @p593 :rule reordering :premises (@p592) :args ((or @t400 @t411))) % 0.45/0.69 (step @p594 :rule chain_m_resolution :premises (@p593 @p538) :args (@t400 @t412 @t413)) % 0.45/0.69 (step @p595 :rule bool-double-not-elim :args (@t405)) % 0.45/0.69 (step @p596 :rule nary_cong :premises (@p540 @p595) :args ((or @t411 (not @t406)))) % 0.45/0.69 (step @p597 :rule cnf_or_neg :args (@t411 7)) % 0.45/0.69 (step @p598 :rule eq_resolve :premises (@p597 @p596)) % 0.45/0.69 (step @p599 :rule reordering :premises (@p598) :args ((or @t405 @t411))) % 0.45/0.69 (step @p600 :rule chain_m_resolution :premises (@p599 @p538) :args (@t405 @t412 @t413)) % 0.45/0.69 (step @p601 :rule bool-double-not-elim :args (@t408)) % 0.45/0.69 (step @p602 :rule nary_cong :premises (@p540 @p601) :args ((or @t411 (not @t409)))) % 0.45/0.69 (step @p603 :rule cnf_or_neg :args (@t411 1)) % 0.45/0.69 (step @p604 :rule eq_resolve :premises (@p603 @p602)) % 0.45/0.69 (step @p605 :rule reordering :premises (@p604) :args ((or @t408 @t411))) % 0.45/0.69 (step @p606 :rule chain_m_resolution :premises (@p605 @p538) :args (@t408 @t412 @t413)) % 0.45/0.69 (step @p607 :rule cnf_or_pos :args (@t420)) % 0.45/0.69 (step @p608 :rule reordering :premises (@p607) :args ((or @t409 @t406 @t401 @t398 @t396 @t394 @t415 (not @t420)))) % 0.45/0.69 (step @p609 :rule chain_m_resolution :premises (@p608 @p606 @p600 @p594 @p588 @p582 @p576 @p570) :args (@t415 (@list false false false false false false false) (@list @t408 @t405 @t400 @t397 @t395 @t393 @t420))) % 0.45/0.69 (step @p610 :rule refl :args (@t422)) % 0.45/0.69 (step @p611 :rule eq-symm :args (@t388 @t378)) % 0.45/0.69 (step @p612 :rule nary_cong :premises (@p611 @p610) :args (@t423)) % 0.45/0.69 (step @p613 :rule refl :args (@t424)) % 0.45/0.69 (step @p614 :rule cong :premises (@p613 @p612) :args (@t425)) % 0.45/0.69 (step @p615 :rule refl :args (@t48)) % 0.45/0.69 (step @p616 :rule cong :premises (@p615 @p614) :args ((=> @t48 @t425))) % 0.45/0.69 (assume-push @p731 @t48) % 0.45/0.69 (step @p618 :rule instantiate :premises (@p47) :args ((@list @t388 @t378 @t374))) % 0.45/0.69 (step-pop @p732 :rule scope :premises (@p618)) % 0.45/0.69 (step @p619 :rule process_scope :premises (@p732) :args (@t425)) % 0.45/0.69 (step @p621 :rule eq_resolve :premises (@p619 @p616)) % 0.45/0.69 (step @p622 :rule implies_elim :premises (@p621)) % 0.45/0.69 (step @p623 :rule chain_m_resolution :premises (@p622 @p47) :args (@t427 @t421 (@list @t48))) % 0.45/0.69 (step @p624 :rule eq-symm :args (@t49 @t47)) % 0.45/0.69 (step @p625 :rule cong :premises (@p624) :args (@t50)) % 0.45/0.69 (step @p626 :rule eq_resolve :premises (@p48 @p625)) % 0.45/0.69 (step @p627 :rule eq-symm :args (@t429 @t389)) % 0.45/0.69 (step @p628 :rule refl :args (@t430)) % 0.45/0.69 (step @p629 :rule cong :premises (@p628 @p627) :args ((=> @t430 @t431))) % 0.45/0.69 (assume-push @p733 @t430) % 0.45/0.69 (step @p631 :rule instantiate :premises (@p626) :args ((@list @t388 @t386 @t374))) % 0.45/0.69 (step-pop @p734 :rule scope :premises (@p631)) % 0.45/0.69 (step @p632 :rule process_scope :premises (@p734) :args (@t431)) % 0.45/0.69 (step @p634 :rule eq_resolve :premises (@p632 @p629)) % 0.45/0.69 (step @p635 :rule implies_elim :premises (@p634)) % 0.45/0.69 (step @p636 :rule chain_m_resolution :premises (@p635 @p626) :args (@t432 @t421 (@list @t430))) % 0.45/0.69 (step @p637 :rule bool-double-not-elim :args (@t389)) % 0.45/0.69 (step @p638 :rule nary_cong :premises (@p540 @p637) :args ((or @t411 (not @t390)))) % 0.45/0.69 (step @p639 :rule cnf_or_neg :args (@t411 12)) % 0.45/0.69 (step @p640 :rule eq_resolve :premises (@p639 @p638)) % 0.45/0.69 (step @p641 :rule reordering :premises (@p640) :args ((or @t389 @t411))) % 0.45/0.69 (step @p642 :rule chain_m_resolution :premises (@p641 @p538) :args (@t389 @t412 @t413)) % 0.45/0.69 (step @p643 :rule cnf_equiv_pos1 :args (@t432)) % 0.45/0.69 (step @p644 :rule reordering :premises (@p643) :args ((or @t390 @t429 (not @t432)))) % 0.45/0.69 (step @p645 :rule chain_m_resolution :premises (@p644 @p642 @p636) :args (@t429 @t433 (@list @t389 @t432))) % 0.45/0.69 (step @p646 :rule eq-symm :args (@t55 @t13)) % 0.45/0.69 (step @p647 :rule cong :premises (@p646) :args (@t56)) % 0.45/0.69 (step @p648 :rule eq_resolve :premises (@p51 @p647)) % 0.45/0.69 (step @p649 :rule instantiate :premises (@p648) :args ((@list @t387))) % 0.45/0.69 (step @p650 :rule eq-symm :args (@t53 @t13)) % 0.45/0.69 (step @p651 :rule cong :premises (@p650) :args (@t54)) % 0.45/0.69 (step @p652 :rule eq_resolve :premises (@p50 @p651)) % 0.45/0.69 (step @p653 :rule instantiate :premises (@p652) :args ((@list @t376))) % 0.45/0.69 (step @p654 :rule cnf_or_neg :args (@t411 6)) % 0.45/0.69 (step @p655 :rule chain_m_resolution :premises (@p654 @p538) :args ((not @t407) @t412 @t413)) % 0.45/0.69 (assume-push @p735 @t397) % 0.45/0.69 (assume-push @p736 @t428) % 0.45/0.69 (assume-push @p737 @t435) % 0.45/0.69 (assume-push @p738 @t436) % 0.45/0.69 (assume-push @p739 @t397) % 0.45/0.69 (assume-push @p740 @t436) % 0.45/0.69 (assume-push @p741 @t428) % 0.45/0.69 (assume-push @p742 @t435) % 0.45/0.69 (step @p664 :rule symm :premises (@p588)) % 0.45/0.69 (step @p665 :rule symm :premises (@p649)) % 0.45/0.69 (step @p666 :rule symm :premises (@p736)) % 0.45/0.69 (step @p667 :rule cong :premises (@p666) :args (@t434)) % 0.45/0.69 (step @p668 :rule trans :premises (@p653 @p667 @p665)) % 0.45/0.69 (step @p669 :rule cong :premises (@p668) :args (@t377)) % 0.45/0.69 (step @p670 :rule trans :premises (@p669 @p664)) % 0.45/0.69 (step-pop @p743 :rule scope :premises (@p670)) % 0.45/0.69 (step-pop @p744 :rule scope :premises (@p743)) % 0.45/0.69 (step-pop @p745 :rule scope :premises (@p744)) % 0.45/0.69 (step-pop @p746 :rule scope :premises (@p745)) % 0.45/0.69 (step @p671 :rule process_scope :premises (@p746) :args (@t407)) % 0.45/0.69 (step @p676 :rule and_intro :premises (@p588 @p649 @p736 @p653)) % 0.45/0.69 (step @p677 :rule modus_ponens :premises (@p676 @p671)) % 0.45/0.69 (step-pop @p747 :rule scope :premises (@p677)) % 0.45/0.69 (step-pop @p748 :rule scope :premises (@p747)) % 0.45/0.69 (step-pop @p749 :rule scope :premises (@p748)) % 0.45/0.69 (step-pop @p750 :rule scope :premises (@p749)) % 0.45/0.69 (step @p678 :rule process_scope :premises (@p750) :args (@t407)) % 0.45/0.69 (step @p683 :rule implies_elim :premises (@p678)) % 0.45/0.69 (step @p684 :rule cnf_and_neg :args (@t437)) % 0.45/0.69 (step @p685 :rule resolution :premises (@p684 @p683) :args (true @t437)) % 0.45/0.69 (step @p686 :rule reordering :premises (@p685) :args ((or @t407 @t398 @t438 (not @t435) (not @t436)))) % 0.45/0.69 (step @p687 :rule chain_m_resolution :premises (@p686 @p655 @p588 @p653 @p649) :args (@t438 (@list true false false false) (@list @t407 @t397 @t435 @t436))) % 0.45/0.69 (step @p688 :rule cnf_or_pos :args (@t429)) % 0.45/0.69 (step @p689 :rule reordering :premises (@p688) :args ((or @t428 @t422 (not @t429)))) % 0.45/0.69 (step @p690 :rule chain_m_resolution :premises (@p689 @p687 @p645) :args (@t422 (@list true false) (@list @t428 @t429))) % 0.45/0.69 (step @p691 :rule cnf_or_neg :args (@t426 1)) % 0.45/0.69 (step @p692 :rule reordering :premises (@p691) :args ((or (not @t422) @t426))) % 0.45/0.69 (step @p693 :rule chain_m_resolution :premises (@p692 @p690) :args (@t426 @t421 (@list @t422))) % 0.45/0.69 (step @p694 :rule cnf_equiv_pos2 :args (@t427)) % 0.45/0.69 (step @p695 :rule reordering :premises (@p694) :args ((or @t424 (not @t426) (not @t427)))) % 0.45/0.69 (step @p696 :rule chain_m_resolution :premises (@p695 @p693 @p623) :args (@t424 @t433 (@list @t426 @t427))) % 0.45/0.69 (step @p697 :rule refl :args (@t439)) % 0.45/0.69 (step @p698 :rule bool-double-not-elim :args (@t414)) % 0.45/0.69 (step @p699 :rule refl :args (@t410)) % 0.45/0.69 (step @p700 :rule nary_cong :premises (@p699 @p698 @p697) :args ((or @t410 (not @t415) @t439))) % 0.45/0.69 (assume-push @p751 @t424) % 0.45/0.69 (assume-push @p752 @t381) % 0.45/0.69 (assume-push @p753 @t415) % 0.45/0.69 (step @p704 :rule evaluate :args ((= false true))) % 0.45/0.69 (step @p705 :rule true_intro :premises (@p751)) % 0.45/0.69 (step @p706 :rule refl :args (@t388)) % 0.45/0.69 (step @p707 :rule cong :premises (@p706 @p545) :args (@t414)) % 0.45/0.69 (step @p708 :rule false_intro :premises (@p609)) % 0.45/0.69 (step @p709 :rule symm :premises (@p708)) % 0.45/0.69 (step @p710 :rule trans :premises (@p709 @p707 @p705)) % 0.45/0.69 (step @p711 false :rule eq_resolve :premises (@p710 @p704)) % 0.45/0.69 (step-pop @p754 :rule scope :premises (@p711)) % 0.45/0.69 (step-pop @p755 :rule scope :premises (@p754)) % 0.45/0.69 (step-pop @p756 :rule scope :premises (@p755)) % 0.45/0.69 (step @p712 :rule process_scope :premises (@p756) :args (false)) % 0.45/0.69 (assume-push @p757 @t381) % 0.45/0.69 (assume-push @p758 @t415) % 0.45/0.69 (assume-push @p759 @t424) % 0.45/0.69 (step @p719 :rule and_intro :premises (@p759 @p545 @p609)) % 0.45/0.69 (step-pop @p760 :rule scope :premises (@p719)) % 0.45/0.69 (step-pop @p761 :rule scope :premises (@p760)) % 0.45/0.69 (step-pop @p762 :rule scope :premises (@p761)) % 0.45/0.69 (step @p720 :rule process_scope :premises (@p762) :args (@t440)) % 0.45/0.69 (step @p724 :rule implies_elim :premises (@p720)) % 0.45/0.69 (step @p725 :rule resolution :premises (@p724 @p712) :args (true @t440)) % 0.45/0.69 (step @p726 :rule not_and :premises (@p725)) % 0.45/0.69 (step @p727 :rule eq_resolve :premises (@p726 @p700)) % 0.45/0.69 (step @p728 false :rule chain_m_resolution :premises (@p727 @p696 @p609 @p545) :args (false (@list false true false) (@list @t424 @t414 @t381))) % 0.45/0.69 ) % 0.45/0.69 % SZS output end Proof % 0.45/0.69 % cvc5 exiting %------------------------------------------------------------------------------