%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV449+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:01:34 AM UTC 2026 % Result : Theorem 0.52s 0.71s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SWV449+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.32 % Computer : n028.cluster.edu % 0.15/0.32 % Model : x86_64 x86_64 % 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.32 % Memory : 8042.1875MB % 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.32 % CPULimit : 300 % 0.15/0.32 % WCLimit : 300 % 0.15/0.32 % DateTime : Tue Jun 2 20:19:35 EDT 2026 % 0.15/0.33 % CPUTime : % 0.34/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.71 % SZS status Theorem % 0.52/0.71 % SZS output start Proof % 0.52/0.71 ( % 0.52/0.71 (declare-sort $$unsorted 0) % 0.52/0.71 (declare-const tptp.status $$unsorted) % 0.52/0.71 (declare-const tptp.index (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.acks $$unsorted) % 0.52/0.71 (declare-const tptp.ordered (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.pidMsg (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.elec_1 $$unsorted) % 0.52/0.71 (declare-const tptp.zero $$unsorted) % 0.52/0.71 (declare-const tptp.elem (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.m_Ack (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.setEmpty $$unsorted) % 0.52/0.71 (declare-const tptp.elec_2 $$unsorted) % 0.52/0.71 (declare-const tptp.queue (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.nbr_proc $$unsorted) % 0.52/0.71 (declare-const tptp.elid $$unsorted) % 0.52/0.71 (declare-const tptp.setIn (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.wait $$unsorted) % 0.52/0.71 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.pendack $$unsorted) % 0.52/0.71 (declare-const tptp.norm $$unsorted) % 0.52/0.71 (declare-const tptp.m_Ldr (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.host (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.pids $$unsorted) % 0.52/0.71 (declare-const tptp.pidElem (-> $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.m_Down (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.last (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.m_NotNorm (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.m_Halt (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.alive $$unsorted) % 0.52/0.71 (declare-const tptp.nil $$unsorted) % 0.52/0.71 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.snoc (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.init (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.m_NormQ (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.q_nil $$unsorted) % 0.52/0.71 (define @t1 () (@var "Pid2" $$unsorted)) % 0.52/0.71 (define @t2 () (@var "Pid" $$unsorted)) % 0.52/0.71 (define @t3 () (tptp.host @t2)) % 0.52/0.71 (define @t4 () (@list @t2 @t1)) % 0.52/0.71 (define @t5 () (@var "Q" $$unsorted)) % 0.52/0.71 (define @t6 () (tptp.host @t5)) % 0.52/0.71 (define @t7 () (@var "P" $$unsorted)) % 0.52/0.71 (define @t8 () (tptp.host @t7)) % 0.52/0.71 (define @t9 () (tptp.s tptp.zero)) % 0.52/0.71 (define @t10 () (@list @t7)) % 0.52/0.71 (define @t11 () (@var "Z" $$unsorted)) % 0.52/0.71 (define @t12 () (@var "Y" $$unsorted)) % 0.52/0.71 (define @t13 () (@var "X" $$unsorted)) % 0.52/0.71 (define @t14 () (tptp.m_Ack @t13 @t12)) % 0.52/0.71 (define @t15 () (@list @t13 @t12 @t11)) % 0.52/0.71 (define @t16 () (tptp.m_Halt @t12)) % 0.52/0.71 (define @t17 () (tptp.m_NotNorm @t13)) % 0.52/0.71 (define @t18 () (@list @t13 @t12)) % 0.52/0.71 (define @t19 () (tptp.m_Down @t13)) % 0.52/0.71 (define @t20 () (tptp.m_Ldr @t12)) % 0.52/0.71 (define @t21 () (tptp.m_NotNorm @t12)) % 0.52/0.71 (define @t22 () (tptp.m_NormQ @t12)) % 0.52/0.71 (define @t23 () (tptp.m_NormQ @t13)) % 0.52/0.71 (define @t24 () (tptp.m_Ldr @t13)) % 0.52/0.71 (define @t25 () (tptp.m_Halt @t13)) % 0.52/0.71 (define @t26 () (= @t13 @t12)) % 0.52/0.71 (define @t27 () (not @t26)) % 0.52/0.71 (define @t28 () (tptp.m_Down @t12)) % 0.52/0.71 (define @t29 () (@var "Y2" $$unsorted)) % 0.52/0.71 (define @t30 () (@var "X2" $$unsorted)) % 0.52/0.71 (define @t31 () (@var "Y1" $$unsorted)) % 0.52/0.71 (define @t32 () (@var "X1" $$unsorted)) % 0.52/0.71 (define @t33 () (not (= (tptp.m_Ack @t32 @t31) (tptp.m_Ack @t30 @t29)))) % 0.52/0.71 (define @t34 () (@list @t32 @t30 @t31 @t29)) % 0.52/0.71 (define @t35 () (tptp.cons @t13 @t5)) % 0.52/0.71 (define @t36 () (@list @t13 @t5)) % 0.52/0.71 (define @t37 () (tptp.snoc @t5 @t12)) % 0.52/0.71 (define @t38 () (@list @t12 @t5)) % 0.52/0.71 (define @t39 () (= @t5 tptp.q_nil)) % 0.52/0.71 (define @t40 () (@list @t5)) % 0.52/0.71 (define @t41 () (tptp.snoc tptp.q_nil @t13)) % 0.52/0.71 (define @t42 () (tptp.cons @t13 tptp.q_nil)) % 0.52/0.71 (define @t43 () (@list @t13)) % 0.52/0.71 (define @t44 () (@list @t13 @t12 @t5)) % 0.52/0.71 (define @t45 () (or @t26 (tptp.elem @t13 @t5))) % 0.52/0.71 (define @t46 () (forall @t44 (= (tptp.elem @t13 (tptp.cons @t12 @t5)) @t45))) % 0.52/0.71 (define @t47 () (tptp.elem @t13 @t37)) % 0.52/0.71 (define @t48 () (forall @t44 (= @t47 @t45))) % 0.52/0.71 (define @t49 () (@list @t12)) % 0.52/0.71 (define @t50 () (tptp.pidElem @t13)) % 0.52/0.71 (define @t51 () (tptp.pidMsg @t12)) % 0.52/0.71 (define @t52 () (tptp.pidMsg @t13)) % 0.52/0.71 (define @t53 () (and (tptp.elem @t12 @t5) @t50 (tptp.pidElem @t12) (= (tptp.host @t51) (tptp.host @t52)))) % 0.52/0.71 (define @t54 () (tptp.ordered @t5)) % 0.52/0.71 (define @t55 () (@list @t5 @t13 @t12)) % 0.52/0.71 (define @t56 () (tptp.leq @t13 @t12)) % 0.52/0.71 (define @t57 () (tptp.host @t12)) % 0.52/0.71 (define @t58 () (tptp.host @t13)) % 0.52/0.71 (define @t59 () (tptp.s @t13)) % 0.52/0.71 (define @t60 () (tptp.leq @t12 @t13)) % 0.52/0.71 (define @t61 () (tptp.s @t12)) % 0.52/0.71 (define @t62 () (@var "V" $$unsorted)) % 0.52/0.71 (define @t63 () (tptp.snoc @t62 @t24)) % 0.52/0.71 (define @t64 () (@var "Y0" $$unsorted)) % 0.52/0.71 (define @t65 () (tptp.elem (tptp.m_Down @t64) @t63)) % 0.52/0.71 (define @t66 () (@var "X0" $$unsorted)) % 0.52/0.71 (define @t67 () (tptp.host @t66)) % 0.52/0.71 (define @t68 () (@var "W0" $$unsorted)) % 0.52/0.71 (define @t69 () (tptp.elem (tptp.m_Down @t68) (tptp.queue @t67))) % 0.52/0.71 (define @t70 () (not (and @t69 @t65))) % 0.52/0.71 (define @t71 () (tptp.host @t64)) % 0.52/0.71 (define @t72 () (@var "V0" $$unsorted)) % 0.52/0.71 (define @t73 () (tptp.host @t72)) % 0.52/0.71 (define @t74 () (tptp.host @t68)) % 0.52/0.71 (define @t75 () (tptp.setIn @t66 tptp.alive)) % 0.52/0.71 (define @t76 () (tptp.setIn @t72 tptp.alive)) % 0.52/0.71 (define @t77 () (not (= @t67 @t73))) % 0.52/0.71 (define @t78 () (and @t77 @t76 @t75 (= @t74 @t73) (= @t71 @t67))) % 0.52/0.71 (define @t79 () (=> @t78 @t70)) % 0.52/0.71 (define @t80 () (@list @t64)) % 0.52/0.71 (define @t81 () (forall @t80 @t79)) % 0.52/0.71 (define @t82 () (= @t58 @t67)) % 0.52/0.71 (define @t83 () (not @t82)) % 0.52/0.71 (define @t84 () (=> @t83 @t81)) % 0.52/0.71 (define @t85 () (tptp.host @t11)) % 0.52/0.71 (define @t86 () (= @t85 @t67)) % 0.52/0.71 (define @t87 () (not @t86)) % 0.52/0.71 (define @t88 () (=> @t87 @t84)) % 0.52/0.71 (define @t89 () (@list @t68 @t66)) % 0.52/0.71 (define @t90 () (forall @t89 @t88)) % 0.52/0.71 (define @t91 () (= @t58 @t73)) % 0.52/0.71 (define @t92 () (=> @t91 @t90)) % 0.52/0.71 (define @t93 () (= @t85 @t73)) % 0.52/0.71 (define @t94 () (=> @t93 @t92)) % 0.52/0.71 (define @t95 () (@list @t72)) % 0.52/0.71 (define @t96 () (forall @t95 @t94)) % 0.52/0.71 (define @t97 () (tptp.index tptp.acks @t58)) % 0.52/0.71 (define @t98 () (tptp.setIn @t85 @t97)) % 0.52/0.71 (define @t99 () (or @t98 (= @t85 @t57))) % 0.52/0.71 (define @t100 () (=> @t99 @t96)) % 0.52/0.71 (define @t101 () (@list @t11)) % 0.52/0.71 (define @t102 () (forall @t101 @t100)) % 0.52/0.71 (define @t103 () (tptp.index tptp.pendack @t58)) % 0.52/0.71 (define @t104 () (tptp.leq tptp.nbr_proc @t103)) % 0.52/0.71 (define @t105 () (=> @t104 @t102)) % 0.52/0.71 (define @t106 () (= @t57 @t103)) % 0.52/0.71 (define @t107 () (tptp.index tptp.status @t58)) % 0.52/0.71 (define @t108 () (@var "W" $$unsorted)) % 0.52/0.71 (define @t109 () (tptp.index tptp.elid @t58)) % 0.52/0.71 (define @t110 () (and (= @t109 @t108) (= @t107 tptp.elec_2) @t106)) % 0.52/0.71 (define @t111 () (=> @t110 @t105)) % 0.52/0.71 (define @t112 () (tptp.setIn @t13 tptp.alive)) % 0.52/0.71 (define @t113 () (=> @t112 @t111)) % 0.52/0.71 (define @t114 () (tptp.queue @t58)) % 0.52/0.71 (define @t115 () (= @t114 (tptp.cons (tptp.m_Ack @t108 @t12) @t62))) % 0.52/0.71 (define @t116 () (@var "Pid20" $$unsorted)) % 0.52/0.71 (define @t117 () (tptp.host @t116)) % 0.52/0.71 (define @t118 () (tptp.queue @t117)) % 0.52/0.71 (define @t119 () (@var "Pid30" $$unsorted)) % 0.52/0.71 (define @t120 () (tptp.elem (tptp.m_Down @t119) @t118)) % 0.52/0.71 (define @t121 () (tptp.queue @t85)) % 0.52/0.71 (define @t122 () (@var "Pid0" $$unsorted)) % 0.52/0.71 (define @t123 () (tptp.elem (tptp.m_Down @t122) @t121)) % 0.52/0.71 (define @t124 () (not (and @t123 @t120))) % 0.52/0.71 (define @t125 () (tptp.host @t122)) % 0.52/0.71 (define @t126 () (= @t125 @t117)) % 0.52/0.71 (define @t127 () (tptp.host @t119)) % 0.52/0.71 (define @t128 () (tptp.setIn @t116 tptp.alive)) % 0.52/0.71 (define @t129 () (tptp.setIn @t11 tptp.alive)) % 0.52/0.71 (define @t130 () (not (= @t117 @t85))) % 0.52/0.71 (define @t131 () (and @t130 @t129 @t128 (= @t127 @t85) @t126)) % 0.52/0.71 (define @t132 () (=> @t131 @t124)) % 0.52/0.71 (define @t133 () (@list @t11 @t119 @t116 @t122)) % 0.52/0.71 (define @t134 () (forall @t133 @t132)) % 0.52/0.71 (define @t135 () (tptp.setIn @t122 tptp.alive)) % 0.52/0.71 (define @t136 () (not @t135)) % 0.52/0.71 (define @t137 () (not @t129)) % 0.52/0.71 (define @t138 () (or @t137 @t136)) % 0.52/0.71 (define @t139 () (= @t125 @t85)) % 0.52/0.71 (define @t140 () (not (= @t122 @t11))) % 0.52/0.71 (define @t141 () (and @t140 @t139)) % 0.52/0.71 (define @t142 () (=> @t141 @t138)) % 0.52/0.71 (define @t143 () (@list @t11 @t122)) % 0.52/0.71 (define @t144 () (forall @t143 @t142)) % 0.52/0.71 (define @t145 () (tptp.leq @t122 @t11)) % 0.52/0.71 (define @t146 () (and @t137 @t145 @t139)) % 0.52/0.71 (define @t147 () (=> @t146 @t136)) % 0.52/0.71 (define @t148 () (forall @t143 @t147)) % 0.52/0.71 (define @t149 () (not (tptp.leq @t85 @t125))) % 0.52/0.71 (define @t150 () (tptp.elem (tptp.m_Ack @t122 @t11) @t118)) % 0.52/0.71 (define @t151 () (@list @t11 @t116 @t122)) % 0.52/0.71 (define @t152 () (forall @t151 (=> @t150 @t149))) % 0.52/0.71 (define @t153 () (tptp.elem (tptp.m_Halt @t122) @t121)) % 0.52/0.71 (define @t154 () (forall @t143 (=> @t153 @t149))) % 0.52/0.71 (define @t155 () (not @t139)) % 0.52/0.71 (define @t156 () (=> @t123 @t155)) % 0.52/0.71 (define @t157 () (forall @t143 @t156)) % 0.52/0.71 (define @t158 () (forall @t143 (=> @t123 @t136))) % 0.52/0.71 (define @t159 () (not @t123)) % 0.52/0.71 (define @t160 () (forall @t143 (=> @t135 @t159))) % 0.52/0.71 (define @t161 () (and @t160 @t158 @t157 @t154 @t152 @t148 @t144 @t134 @t115)) % 0.52/0.71 (define @t162 () (=> @t161 @t113)) % 0.52/0.71 (define @t163 () (@list @t62 @t108 @t13 @t12)) % 0.52/0.71 (define @t164 () (forall @t163 @t162)) % 0.52/0.71 (define @t165 () (not @t164)) % 0.52/0.71 (define @t166 () (@var "BOUND_VARIABLE_8306" $$unsorted)) % 0.52/0.71 (define @t167 () (not (tptp.elem (tptp.m_Down @t166) @t63))) % 0.52/0.71 (define @t168 () (@var "BOUND_VARIABLE_8304" $$unsorted)) % 0.52/0.71 (define @t169 () (tptp.host @t168)) % 0.52/0.71 (define @t170 () (not (= @t169 (tptp.host @t166)))) % 0.52/0.71 (define @t171 () (@var "BOUND_VARIABLE_8302" $$unsorted)) % 0.52/0.71 (define @t172 () (not (tptp.elem (tptp.m_Down @t171) (tptp.queue @t169)))) % 0.52/0.71 (define @t173 () (not (tptp.setIn @t168 tptp.alive))) % 0.52/0.71 (define @t174 () (@var "BOUND_VARIABLE_8300" $$unsorted)) % 0.52/0.71 (define @t175 () (tptp.host @t174)) % 0.52/0.71 (define @t176 () (= @t175 @t169)) % 0.52/0.71 (define @t177 () (= @t58 @t169)) % 0.52/0.71 (define @t178 () (@var "BOUND_VARIABLE_8298" $$unsorted)) % 0.52/0.71 (define @t179 () (tptp.host @t178)) % 0.52/0.71 (define @t180 () (= @t179 @t169)) % 0.52/0.71 (define @t181 () (not (= @t175 (tptp.host @t171)))) % 0.52/0.71 (define @t182 () (not (tptp.setIn @t174 tptp.alive))) % 0.52/0.71 (define @t183 () (not (= @t58 @t175))) % 0.52/0.71 (define @t184 () (not (= @t179 @t175))) % 0.52/0.71 (define @t185 () (and (not (tptp.setIn @t179 @t97)) (not (= @t57 @t179)))) % 0.52/0.71 (define @t186 () (not @t104)) % 0.52/0.71 (define @t187 () (not @t106)) % 0.52/0.71 (define @t188 () (= tptp.elec_2 @t107)) % 0.52/0.71 (define @t189 () (not @t188)) % 0.52/0.71 (define @t190 () (not @t112)) % 0.52/0.71 (define @t191 () (not (= @t114 (tptp.cons (tptp.m_Ack @t109 @t12) @t62)))) % 0.52/0.71 (define @t192 () (or @t191 @t190 @t189 @t187 @t186 @t185 @t184 @t183 @t182 @t181 @t180 @t177 @t176 @t173 @t172 @t170 @t167)) % 0.52/0.71 (define @t193 () (not (= @t109 @t109))) % 0.52/0.71 (define @t194 () (or @t191 @t190 @t193 @t189 @t187 @t186 @t185 @t184 @t183 @t182 @t181 @t180 @t177 @t176 @t173 @t172 @t170 @t167)) % 0.52/0.71 (define @t195 () (@list @t62 @t13 @t12 @t178 @t174 @t171 @t168 @t166)) % 0.52/0.71 (define @t196 () (= @t108 @t109)) % 0.52/0.71 (define @t197 () (not @t196)) % 0.52/0.71 (define @t198 () (not @t115)) % 0.52/0.71 (define @t199 () (or @t197 @t198 @t190 @t197 @t189 @t187 @t186 @t185 @t184 @t183 @t182 @t181 @t180 @t177 @t176 @t173 @t172 @t170 @t167)) % 0.52/0.71 (define @t200 () (@list @t108)) % 0.52/0.71 (define @t201 () (or @t198 @t190 @t197 @t189 @t187 @t186 @t185 @t184 @t183 @t182 @t181 @t180 @t177 @t176 @t173 @t172 @t170 @t167)) % 0.52/0.71 (define @t202 () (forall @t200 @t201)) % 0.52/0.71 (define @t203 () (forall @t195 @t202)) % 0.52/0.71 (define @t204 () (forall (@list @t62 @t13 @t12 @t178 @t174 @t171 @t168 @t166 @t108) @t201)) % 0.52/0.71 (define @t205 () (@list @t62 @t108 @t13 @t12 @t178 @t174 @t171 @t168 @t166)) % 0.52/0.71 (define @t206 () (or @t185 @t184 @t183 @t182 @t181 @t180 @t177 @t176 @t173 @t172 @t170 @t167)) % 0.52/0.71 (define @t207 () (or @t198 @t190 @t197 @t189 @t187 @t186 @t206)) % 0.52/0.71 (define @t208 () (forall @t205 @t207)) % 0.52/0.71 (define @t209 () (@list @t178 @t174 @t171 @t168 @t166)) % 0.52/0.71 (define @t210 () (forall @t209 @t207)) % 0.52/0.71 (define @t211 () (forall @t209 @t206)) % 0.52/0.71 (define @t212 () (@var "BOUND_VARIABLE_8233" $$unsorted)) % 0.52/0.71 (define @t213 () (@var "BOUND_VARIABLE_8231" $$unsorted)) % 0.52/0.71 (define @t214 () (@var "BOUND_VARIABLE_8229" $$unsorted)) % 0.52/0.71 (define @t215 () (@var "BOUND_VARIABLE_8227" $$unsorted)) % 0.52/0.71 (define @t216 () (or @t198 @t190 @t197 @t189 @t187 @t186 @t211)) % 0.52/0.71 (define @t217 () (not (tptp.elem (tptp.m_Down @t212) @t63))) % 0.52/0.71 (define @t218 () (tptp.host @t213)) % 0.52/0.71 (define @t219 () (not (= @t218 (tptp.host @t212)))) % 0.52/0.71 (define @t220 () (not (tptp.elem (tptp.m_Down @t214) (tptp.queue @t218)))) % 0.52/0.71 (define @t221 () (not (tptp.setIn @t213 tptp.alive))) % 0.52/0.71 (define @t222 () (tptp.host @t215)) % 0.52/0.71 (define @t223 () (= @t222 @t218)) % 0.52/0.71 (define @t224 () (= @t58 @t218)) % 0.52/0.71 (define @t225 () (= @t85 @t218)) % 0.52/0.71 (define @t226 () (not (= @t222 (tptp.host @t214)))) % 0.52/0.71 (define @t227 () (not (tptp.setIn @t215 tptp.alive))) % 0.52/0.71 (define @t228 () (not (= @t58 @t222))) % 0.52/0.71 (define @t229 () (not (= @t85 @t222))) % 0.52/0.71 (define @t230 () (= @t57 @t85)) % 0.52/0.71 (define @t231 () (and (not @t98) (not @t230))) % 0.52/0.71 (define @t232 () (or @t231 @t229 @t228 @t227 @t226 @t225 @t224 @t223 @t221 @t220 @t219 @t217)) % 0.52/0.71 (define @t233 () (@list @t11 @t215 @t214 @t213 @t212)) % 0.52/0.71 (define @t234 () (forall @t233 @t232)) % 0.52/0.71 (define @t235 () (or @t198 @t190 @t197 @t189 @t187 @t186 @t234)) % 0.52/0.71 (define @t236 () (forall @t163 @t235)) % 0.52/0.71 (define @t237 () (not @t120)) % 0.52/0.71 (define @t238 () (not @t126)) % 0.52/0.71 (define @t239 () (= @t85 @t127)) % 0.52/0.71 (define @t240 () (not @t239)) % 0.52/0.71 (define @t241 () (not @t128)) % 0.52/0.71 (define @t242 () (= @t85 @t117)) % 0.52/0.71 (define @t243 () (or @t242 @t137 @t241 @t240 @t238 @t159 @t237)) % 0.52/0.71 (define @t244 () (forall @t133 @t243)) % 0.52/0.71 (define @t245 () (not @t244)) % 0.52/0.71 (define @t246 () (= @t85 @t125)) % 0.52/0.71 (define @t247 () (not @t246)) % 0.52/0.71 (define @t248 () (= @t11 @t122)) % 0.52/0.71 (define @t249 () (or @t248 @t247 @t137 @t136)) % 0.52/0.71 (define @t250 () (forall @t143 @t249)) % 0.52/0.71 (define @t251 () (not @t250)) % 0.52/0.71 (define @t252 () (not @t145)) % 0.52/0.71 (define @t253 () (or @t129 @t252 @t247 @t136)) % 0.52/0.71 (define @t254 () (forall @t143 @t253)) % 0.52/0.71 (define @t255 () (not @t254)) % 0.52/0.71 (define @t256 () (forall @t151 (or (not @t150) @t149))) % 0.52/0.71 (define @t257 () (not @t256)) % 0.52/0.71 (define @t258 () (forall @t143 (or (not @t153) @t149))) % 0.52/0.71 (define @t259 () (not @t258)) % 0.52/0.71 (define @t260 () (forall @t143 (or @t159 @t247))) % 0.52/0.71 (define @t261 () (not @t260)) % 0.52/0.71 (define @t262 () (forall @t143 (or @t159 @t136))) % 0.52/0.71 (define @t263 () (not @t262)) % 0.52/0.71 (define @t264 () (forall @t143 (or @t136 @t159))) % 0.52/0.71 (define @t265 () (not @t264)) % 0.52/0.71 (define @t266 () (or @t265 @t263 @t261 @t259 @t257 @t255 @t251 @t245 @t236)) % 0.52/0.71 (define @t267 () (or @t265 @t263 @t261 @t259 @t257 @t255 @t251 @t245 @t235)) % 0.52/0.71 (define @t268 () (or @t265 @t263 @t261 @t259 @t257 @t255 @t251 @t245 @t198 @t190 @t197 @t189 @t187 @t186 @t234)) % 0.52/0.71 (define @t269 () (or @t190 @t197 @t189 @t187 @t186 @t234)) % 0.52/0.71 (define @t270 () (or @t265 @t263 @t261 @t259 @t257 @t255 @t251 @t245 @t198)) % 0.52/0.71 (define @t271 () (or @t197 @t189 @t187 @t186 @t234)) % 0.52/0.71 (define @t272 () (or @t197 @t189 @t187)) % 0.52/0.71 (define @t273 () (=> @t104 @t234)) % 0.52/0.71 (define @t274 () (and @t196 @t188 @t106)) % 0.52/0.71 (define @t275 () (=> @t274 @t273)) % 0.52/0.71 (define @t276 () (=> @t112 @t275)) % 0.52/0.71 (define @t277 () (and @t264 @t262 @t260 @t258 @t256 @t254 @t250 @t244 @t115)) % 0.52/0.71 (define @t278 () (or @t229 @t228 @t227 @t226 @t225 @t224 @t223 @t221 @t220 @t219 @t217)) % 0.52/0.71 (define @t279 () (or @t231 @t278)) % 0.52/0.71 (define @t280 () (forall @t233 @t279)) % 0.52/0.71 (define @t281 () (@list @t215 @t214 @t213 @t212)) % 0.52/0.71 (define @t282 () (forall @t281 @t279)) % 0.52/0.71 (define @t283 () (forall @t281 @t278)) % 0.52/0.71 (define @t284 () (@var "BOUND_VARIABLE_8192" $$unsorted)) % 0.52/0.71 (define @t285 () (@var "BOUND_VARIABLE_8190" $$unsorted)) % 0.52/0.71 (define @t286 () (@var "BOUND_VARIABLE_8188" $$unsorted)) % 0.52/0.71 (define @t287 () (or @t231 @t283)) % 0.52/0.71 (define @t288 () (not (tptp.elem (tptp.m_Down @t284) @t63))) % 0.52/0.71 (define @t289 () (tptp.host @t285)) % 0.52/0.71 (define @t290 () (not (= @t289 (tptp.host @t284)))) % 0.52/0.71 (define @t291 () (not (tptp.elem (tptp.m_Down @t286) (tptp.queue @t289)))) % 0.52/0.71 (define @t292 () (not (tptp.setIn @t285 tptp.alive))) % 0.52/0.71 (define @t293 () (= @t73 @t289)) % 0.52/0.71 (define @t294 () (= @t58 @t289)) % 0.52/0.71 (define @t295 () (= @t85 @t289)) % 0.52/0.71 (define @t296 () (not (= @t73 (tptp.host @t286)))) % 0.52/0.71 (define @t297 () (not @t76)) % 0.52/0.71 (define @t298 () (not @t91)) % 0.52/0.71 (define @t299 () (not @t93)) % 0.52/0.71 (define @t300 () (or @t299 @t298 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t288)) % 0.52/0.71 (define @t301 () (@list @t72 @t286 @t285 @t284)) % 0.52/0.71 (define @t302 () (forall @t301 @t300)) % 0.52/0.71 (define @t303 () (or @t98 @t230)) % 0.52/0.71 (define @t304 () (or @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t288)) % 0.52/0.71 (define @t305 () (or @t299 @t298 @t297 @t304)) % 0.52/0.71 (define @t306 () (forall @t301 @t305)) % 0.52/0.71 (define @t307 () (@list @t286 @t285 @t284)) % 0.52/0.71 (define @t308 () (forall @t307 @t305)) % 0.52/0.71 (define @t309 () (forall @t307 @t304)) % 0.52/0.71 (define @t310 () (@var "BOUND_VARIABLE_8165" $$unsorted)) % 0.52/0.71 (define @t311 () (or @t299 @t298 @t297 @t309)) % 0.52/0.71 (define @t312 () (not (tptp.elem (tptp.m_Down @t310) @t63))) % 0.52/0.71 (define @t313 () (not (= @t67 (tptp.host @t310)))) % 0.52/0.71 (define @t314 () (not @t69)) % 0.52/0.71 (define @t315 () (not @t75)) % 0.52/0.71 (define @t316 () (= @t73 @t67)) % 0.52/0.71 (define @t317 () (= @t73 @t74)) % 0.52/0.71 (define @t318 () (not @t317)) % 0.52/0.71 (define @t319 () (or @t318 @t86 @t82 @t316 @t315 @t314 @t313 @t312)) % 0.52/0.71 (define @t320 () (@list @t68 @t66 @t310)) % 0.52/0.71 (define @t321 () (forall @t320 @t319)) % 0.52/0.71 (define @t322 () (or @t299 @t298 @t297 @t321)) % 0.52/0.71 (define @t323 () (or @t298 @t297 @t321)) % 0.52/0.71 (define @t324 () (or @t297 @t321)) % 0.52/0.71 (define @t325 () (=> @t91 @t324)) % 0.52/0.71 (define @t326 () (or @t313 @t312)) % 0.52/0.71 (define @t327 () (or @t318 @t86 @t82 @t316 @t315 @t314 @t326)) % 0.52/0.71 (define @t328 () (forall @t320 @t327)) % 0.52/0.71 (define @t329 () (@list @t310)) % 0.52/0.71 (define @t330 () (forall @t329 @t327)) % 0.52/0.71 (define @t331 () (forall @t329 @t326)) % 0.52/0.71 (define @t332 () (or @t318 @t86 @t82 @t316 @t315 @t314 @t331)) % 0.52/0.71 (define @t333 () (not @t65)) % 0.52/0.71 (define @t334 () (= @t67 @t71)) % 0.52/0.71 (define @t335 () (not @t334)) % 0.52/0.71 (define @t336 () (or @t335 @t333)) % 0.52/0.71 (define @t337 () (forall @t80 @t336)) % 0.52/0.71 (define @t338 () (or @t318 @t86 @t82 @t316 @t315 @t314 @t337)) % 0.52/0.71 (define @t339 () (forall @t89 @t338)) % 0.52/0.71 (define @t340 () (or @t297 @t339)) % 0.52/0.71 (define @t341 () (or @t297 @t338)) % 0.52/0.71 (define @t342 () (or @t86 @t82 @t316 @t297 @t315 @t318 @t314 @t337)) % 0.52/0.71 (define @t343 () (or @t82 @t316 @t297 @t315 @t318 @t314 @t337)) % 0.52/0.71 (define @t344 () (or @t316 @t297 @t315 @t318 @t314 @t337)) % 0.52/0.71 (define @t345 () (=> @t83 @t344)) % 0.52/0.71 (define @t346 () (or @t316 @t297 @t315 @t318 @t314 @t336)) % 0.52/0.71 (define @t347 () (or @t316 @t297 @t315 @t318 @t335 @t314 @t333)) % 0.52/0.71 (define @t348 () (not @t316)) % 0.52/0.71 (define @t349 () (not @t348)) % 0.52/0.71 (define @t350 () (or @t349 @t297 @t315 @t318 @t335)) % 0.52/0.71 (define @t351 () (and @t348 @t76 @t75 @t317 @t334)) % 0.52/0.71 (define @t352 () (not @t242)) % 0.52/0.71 (define @t353 () (not @t352)) % 0.52/0.71 (define @t354 () (or @t353 @t137 @t241 @t240 @t238)) % 0.52/0.71 (define @t355 () (and @t352 @t129 @t128 @t239 @t126)) % 0.52/0.71 (define @t356 () (not @t248)) % 0.52/0.71 (define @t357 () (and @t356 @t246)) % 0.52/0.71 (define @t358 () (not @t137)) % 0.52/0.71 (define @t359 () (or @t358 @t252 @t247)) % 0.52/0.71 (define @t360 () (and @t137 @t145 @t246)) % 0.52/0.71 (define @t361 () (forall @t195 @t192)) % 0.52/0.71 (define @t362 () (@quantifiers_skolemize @t361 1)) % 0.52/0.71 (define @t363 () (tptp.host @t362)) % 0.52/0.71 (define @t364 () (tptp.queue @t363)) % 0.52/0.71 (define @t365 () (@quantifiers_skolemize @t361 7)) % 0.52/0.71 (define @t366 () (tptp.m_Down @t365)) % 0.52/0.71 (define @t367 () (not (tptp.elem @t366 @t364))) % 0.52/0.71 (define @t368 () (@quantifiers_skolemize @t361 6)) % 0.52/0.71 (define @t369 () (tptp.host @t368)) % 0.52/0.71 (define @t370 () (@quantifiers_skolemize @t361 5)) % 0.52/0.71 (define @t371 () (tptp.elem (tptp.m_Down @t370) (tptp.queue @t369))) % 0.52/0.71 (define @t372 () (not @t371)) % 0.52/0.71 (define @t373 () (tptp.host @t370)) % 0.52/0.71 (define @t374 () (not (= @t373 @t363))) % 0.52/0.71 (define @t375 () (= @t369 (tptp.host @t365))) % 0.52/0.71 (define @t376 () (not @t375)) % 0.52/0.71 (define @t377 () (tptp.setIn @t362 tptp.alive)) % 0.52/0.71 (define @t378 () (not @t377)) % 0.52/0.71 (define @t379 () (tptp.setIn @t368 tptp.alive)) % 0.52/0.71 (define @t380 () (not @t379)) % 0.52/0.71 (define @t381 () (or (= @t369 @t363) @t380 @t378 @t376 @t374 @t372 @t367)) % 0.52/0.71 (define @t382 () (= @t363 @t373)) % 0.52/0.71 (define @t383 () (not @t382)) % 0.52/0.71 (define @t384 () (= @t363 @t369)) % 0.52/0.71 (define @t385 () (or @t384 @t380 @t378 @t376 @t383 @t372 @t367)) % 0.52/0.71 (define @t386 () (@list false)) % 0.52/0.71 (define @t387 () (@quantifiers_skolemize @t361 4)) % 0.52/0.71 (define @t388 () (tptp.host @t387)) % 0.52/0.71 (define @t389 () (= @t388 @t373)) % 0.52/0.71 (define @t390 () (tptp.m_Ldr @t362)) % 0.52/0.71 (define @t391 () (@quantifiers_skolemize @t361 0)) % 0.52/0.71 (define @t392 () (tptp.elem @t366 (tptp.snoc @t391 @t390))) % 0.52/0.71 (define @t393 () (not @t392)) % 0.52/0.71 (define @t394 () (tptp.host (@quantifiers_skolemize @t361 3))) % 0.52/0.71 (define @t395 () (not @t389)) % 0.52/0.71 (define @t396 () (= @t363 @t388)) % 0.52/0.71 (define @t397 () (not @t396)) % 0.52/0.71 (define @t398 () (@quantifiers_skolemize @t361 2)) % 0.52/0.71 (define @t399 () (tptp.host @t398)) % 0.52/0.71 (define @t400 () (tptp.index tptp.pendack @t363)) % 0.52/0.71 (define @t401 () (tptp.m_Ack (tptp.index tptp.elid @t363) @t398)) % 0.52/0.71 (define @t402 () (tptp.cons @t401 @t391)) % 0.52/0.71 (define @t403 () (= @t364 @t402)) % 0.52/0.71 (define @t404 () (not @t403)) % 0.52/0.71 (define @t405 () (or @t404 @t378 (not (= tptp.elec_2 (tptp.index tptp.status @t363))) (not (= @t399 @t400)) (not (tptp.leq tptp.nbr_proc @t400)) (and (not (tptp.setIn @t394 (tptp.index tptp.acks @t363))) (not (= @t399 @t394))) (not (= @t394 @t388)) @t397 (not (tptp.setIn @t387 tptp.alive)) @t395 (= @t394 @t369) @t384 (= @t388 @t369) @t380 @t372 @t376 @t393)) % 0.52/0.71 (define @t406 () (@list true)) % 0.52/0.71 (define @t407 () (@list @t405)) % 0.52/0.71 (define @t408 () (tptp.elem @t366 @t402)) % 0.52/0.71 (define @t409 () (tptp.elem @t366 @t391)) % 0.52/0.71 (define @t410 () (or (= @t366 @t401) @t409)) % 0.52/0.71 (define @t411 () (= @t408 @t410)) % 0.52/0.71 (define @t412 () (or (= @t401 @t366) @t409)) % 0.52/0.71 (define @t413 () (= @t408 @t412)) % 0.52/0.71 (define @t414 () (= @t366 @t390)) % 0.52/0.71 (define @t415 () (or @t414 @t409)) % 0.52/0.71 (define @t416 () (forall @t44 (= @t45 @t47))) % 0.52/0.71 (define @t417 () (= @t415 @t392)) % 0.52/0.71 (define @t418 () (= @t392 @t415)) % 0.52/0.71 (define @t419 () (@list false false)) % 0.52/0.71 (assume @p1 (forall @t4 (=> (tptp.elem (tptp.m_Ack @t2 @t1) (tptp.queue @t3)) (and (tptp.setIn @t2 tptp.pids) (tptp.setIn @t1 tptp.pids))))) % 0.52/0.71 (assume @p2 (forall (@list @t7 @t5) (=> (= (tptp.s @t8) @t6) (not (= @t8 @t6))))) % 0.52/0.71 (assume @p3 (forall @t10 (tptp.leq @t9 @t8))) % 0.52/0.71 (assume @p4 (tptp.leq @t9 tptp.nbr_proc)) % 0.52/0.71 (assume @p5 (forall @t10 (tptp.leq @t8 tptp.nbr_proc))) % 0.52/0.71 (assume @p6 (not (= tptp.elec_1 tptp.elec_2))) % 0.52/0.71 (assume @p7 (not (= tptp.elec_1 tptp.wait))) % 0.52/0.71 (assume @p8 (not (= tptp.elec_1 tptp.norm))) % 0.52/0.71 (assume @p9 (not (= tptp.elec_2 tptp.wait))) % 0.52/0.71 (assume @p10 (not (= tptp.elec_2 tptp.norm))) % 0.52/0.71 (assume @p11 (not (= tptp.norm tptp.wait))) % 0.52/0.71 (assume @p12 (forall @t15 (not (= @t14 (tptp.m_Halt @t11))))) % 0.52/0.71 (assume @p13 (forall @t15 (not (= @t14 (tptp.m_Down @t11))))) % 0.52/0.71 (assume @p14 (forall @t15 (not (= @t14 (tptp.m_NotNorm @t11))))) % 0.52/0.71 (assume @p15 (forall @t15 (not (= @t14 (tptp.m_Ldr @t11))))) % 0.52/0.71 (assume @p16 (forall @t15 (not (= @t14 (tptp.m_NormQ @t11))))) % 0.52/0.71 (assume @p17 (forall @t18 (not (= @t17 @t16)))) % 0.52/0.71 (assume @p18 (forall @t18 (not (= @t19 @t16)))) % 0.52/0.71 (assume @p19 (forall @t18 (not (= @t19 @t20)))) % 0.52/0.71 (assume @p20 (forall @t18 (not (= @t19 @t21)))) % 0.52/0.71 (assume @p21 (forall @t18 (not (= @t19 @t22)))) % 0.52/0.71 (assume @p22 (forall @t18 (not (= @t23 @t16)))) % 0.52/0.71 (assume @p23 (forall @t18 (not (= @t24 @t16)))) % 0.52/0.71 (assume @p24 (forall @t18 (not (= @t24 @t22)))) % 0.52/0.71 (assume @p25 (forall @t18 (not (= @t24 @t21)))) % 0.52/0.71 (assume @p26 (forall @t18 (not (= @t23 @t21)))) % 0.52/0.71 (assume @p27 (forall @t18 (= @t27 (not (= @t25 @t16))))) % 0.52/0.71 (assume @p28 (forall @t18 (= @t27 (not (= @t23 @t22))))) % 0.52/0.71 (assume @p29 (forall @t18 (= @t27 (not (= @t17 @t21))))) % 0.52/0.71 (assume @p30 (forall @t18 (= @t27 (not (= @t24 @t20))))) % 0.52/0.71 (assume @p31 (forall @t18 (= @t27 (not (= @t19 @t28))))) % 0.52/0.71 (assume @p32 (forall @t34 (=> (not (= @t32 @t30)) @t33))) % 0.52/0.71 (assume @p33 (forall @t34 (=> (not (= @t31 @t29)) @t33))) % 0.52/0.71 (assume @p34 (forall @t4 (=> (not (= @t3 (tptp.host @t1))) (not (= @t2 @t1))))) % 0.52/0.71 (assume @p35 (not (tptp.setIn tptp.nil tptp.alive))) % 0.52/0.71 (assume @p36 (forall @t36 (= (tptp.head @t35) @t13))) % 0.52/0.71 (assume @p37 (forall @t36 (= (tptp.tail @t35) @t5))) % 0.52/0.71 (assume @p38 (forall @t38 (= (tptp.last @t37) @t12))) % 0.52/0.71 (assume @p39 (forall @t38 (= (tptp.init @t37) @t5))) % 0.52/0.71 (assume @p40 (forall @t40 (or @t39 (= @t5 (tptp.cons (tptp.head @t5) (tptp.tail @t5)))))) % 0.52/0.71 (assume @p41 (forall @t40 (or @t39 (= @t5 (tptp.snoc (tptp.init @t5) (tptp.last @t5)))))) % 0.52/0.71 (assume @p42 (forall @t36 (not (= tptp.q_nil @t35)))) % 0.52/0.71 (assume @p43 (forall @t38 (not (= tptp.q_nil @t37)))) % 0.52/0.71 (assume @p44 (forall @t43 (= @t42 @t41))) % 0.52/0.71 (assume @p45 (forall @t44 (= (tptp.snoc @t35 @t12) (tptp.cons @t13 @t37)))) % 0.52/0.71 (assume @p46 (forall @t43 (not (tptp.elem @t13 tptp.q_nil)))) % 0.52/0.71 (assume @p47 @t46) % 0.52/0.71 (assume @p48 @t48) % 0.52/0.71 (assume @p49 (forall @t43 (= @t50 (exists @t49 (or (= @t13 @t16) (= @t13 @t28)))))) % 0.52/0.71 (assume @p50 (forall @t43 (= (tptp.pidMsg @t25) @t13))) % 0.52/0.71 (assume @p51 (forall @t43 (= (tptp.pidMsg @t19) @t13))) % 0.52/0.71 (assume @p52 (tptp.ordered tptp.q_nil)) % 0.52/0.71 (assume @p53 (forall @t43 (and (tptp.ordered @t42) (tptp.ordered @t41)))) % 0.52/0.71 (assume @p54 (forall @t36 (= (tptp.ordered @t35) (and @t54 (forall @t49 (=> @t53 (tptp.leq @t52 @t51))))))) % 0.52/0.71 (assume @p55 (forall @t36 (= (tptp.ordered (tptp.snoc @t5 @t13)) (and @t54 (forall @t49 (=> @t53 (tptp.leq @t51 @t52))))))) % 0.52/0.71 (assume @p56 (forall @t55 (=> @t54 (tptp.ordered (tptp.snoc @t5 @t14))))) % 0.52/0.71 (assume @p57 (forall (@list @t5 @t13) (=> @t54 (tptp.ordered (tptp.snoc @t5 @t24))))) % 0.52/0.71 (assume @p58 (forall @t55 (=> (and (tptp.ordered (tptp.cons @t25 @t5)) (= @t58 @t57) (tptp.elem @t28 @t5)) @t56))) % 0.52/0.71 (assume @p59 (forall @t43 (not (tptp.leq @t59 @t13)))) % 0.52/0.71 (assume @p60 (forall @t43 (tptp.leq @t13 @t13))) % 0.52/0.71 (assume @p61 (forall @t18 (or @t56 @t60))) % 0.52/0.71 (assume @p62 (forall @t18 (= (and @t56 @t60) @t26))) % 0.52/0.71 (assume @p63 (forall @t15 (=> (and @t56 (tptp.leq @t12 @t11)) (tptp.leq @t13 @t11)))) % 0.52/0.71 (assume @p64 (forall @t18 (= @t56 (tptp.leq @t59 @t61)))) % 0.52/0.71 (assume @p65 (forall @t18 (= (tptp.leq @t13 @t61) (or (= @t13 @t61) @t56)))) % 0.52/0.71 (assume @p66 (forall @t43 (not (tptp.setIn @t13 tptp.setEmpty)))) % 0.52/0.71 (assume @p67 @t165) % 0.52/0.71 (assume @p68 true) % 0.52/0.71 (step @p69 :rule evaluate :args ((= true false))) % 0.52/0.71 (step @p70 :rule aci_norm :args ((= (or @t191 @t190 false @t189 @t187 @t186 @t185 @t184 @t183 @t182 @t181 @t180 @t177 @t176 @t173 @t172 @t170 @t167) @t192))) % 0.52/0.71 (step @p71 :rule refl :args (@t167)) % 0.52/0.71 (step @p72 :rule refl :args (@t170)) % 0.52/0.71 (step @p73 :rule refl :args (@t172)) % 0.52/0.71 (step @p74 :rule refl :args (@t173)) % 0.52/0.71 (step @p75 :rule refl :args (@t176)) % 0.52/0.71 (step @p76 :rule refl :args (@t177)) % 0.52/0.71 (step @p77 :rule refl :args (@t180)) % 0.52/0.71 (step @p78 :rule refl :args (@t181)) % 0.52/0.71 (step @p79 :rule refl :args (@t182)) % 0.52/0.71 (step @p80 :rule refl :args (@t183)) % 0.52/0.71 (step @p81 :rule refl :args (@t184)) % 0.52/0.71 (step @p82 :rule refl :args (@t185)) % 0.52/0.71 (step @p83 :rule refl :args (@t186)) % 0.52/0.71 (step @p84 :rule refl :args (@t187)) % 0.52/0.71 (step @p85 :rule refl :args (@t189)) % 0.52/0.71 (step @p86 :rule evaluate :args ((not true))) % 0.52/0.71 (step @p87 :rule eq-refl :args (@t109)) % 0.52/0.71 (step @p88 :rule cong :premises (@p87) :args (@t193)) % 0.52/0.71 (step @p89 :rule trans :premises (@p88 @p86)) % 0.52/0.71 (step @p90 :rule refl :args (@t190)) % 0.52/0.71 (step @p91 :rule refl :args (@t191)) % 0.52/0.71 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p85 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71) :args (@t194)) % 0.52/0.71 (step @p93 :rule trans :premises (@p92 @p70)) % 0.52/0.71 (step @p94 :rule cong :premises (@p93) :args ((forall @t195 @t194))) % 0.52/0.71 (step @p95 :rule quant-var-elim-eq :args ((= (forall @t200 @t199) @t194))) % 0.52/0.71 (step @p96 :rule aci_norm :args ((= @t201 @t199))) % 0.52/0.71 (step @p97 :rule cong :premises (@p96) :args (@t202)) % 0.52/0.71 (step @p98 :rule trans :premises (@p97 @p95)) % 0.52/0.71 (step @p99 :rule cong :premises (@p98) :args (@t203)) % 0.52/0.71 (step @p100 :rule quant-merge-prenex :args ((= @t203 @t204))) % 0.52/0.71 (step @p101 :rule symm :premises (@p100)) % 0.52/0.71 (step @p102 :rule quant_var_reordering :args ((= (forall @t205 @t201) @t204))) % 0.52/0.71 (step @p103 :rule trans :premises (@p102 @p101 @p99)) % 0.52/0.71 (step @p104 :rule trans :premises (@p103 @p94)) % 0.52/0.71 (step @p105 :rule aci_norm :args ((= @t207 @t201))) % 0.52/0.71 (step @p106 :rule cong :premises (@p105) :args (@t208)) % 0.52/0.71 (step @p107 :rule trans :premises (@p106 @p104)) % 0.52/0.71 (step @p108 :rule quant-merge-prenex :args ((= (forall @t163 @t210) @t208))) % 0.52/0.71 (step @p109 :rule alpha_equiv :args (@t211 (@list @t178 @t174 @t171 @t168 @t166) (@list @t11 @t215 @t214 @t213 @t212))) % 0.52/0.71 (step @p110 :rule refl :args (@t186)) % 0.52/0.71 (step @p111 :rule refl :args (@t187)) % 0.52/0.71 (step @p112 :rule refl :args (@t189)) % 0.52/0.71 (step @p113 :rule refl :args (@t197)) % 0.52/0.71 (step @p114 :rule refl :args (@t190)) % 0.52/0.71 (step @p115 :rule refl :args (@t198)) % 0.52/0.71 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112 @p111 @p110 @p109) :args (@t216)) % 0.52/0.71 (step @p117 :rule quant-miniscope-or :args ((= @t210 @t216))) % 0.52/0.71 (step @p118 :rule trans :premises (@p117 @p116)) % 0.52/0.71 (step @p119 :rule symm :premises (@p118)) % 0.52/0.71 (step @p120 :rule cong :premises (@p119) :args (@t236)) % 0.52/0.71 (step @p121 :rule trans :premises (@p120 @p108)) % 0.52/0.71 (step @p122 :rule trans :premises (@p121 @p107)) % 0.52/0.71 (step @p123 :rule refl :args (@t245)) % 0.52/0.71 (step @p124 :rule refl :args (@t251)) % 0.52/0.71 (step @p125 :rule refl :args (@t255)) % 0.52/0.71 (step @p126 :rule refl :args (@t257)) % 0.52/0.71 (step @p127 :rule refl :args (@t259)) % 0.52/0.71 (step @p128 :rule refl :args (@t261)) % 0.52/0.71 (step @p129 :rule refl :args (@t263)) % 0.52/0.71 (step @p130 :rule refl :args (@t265)) % 0.52/0.71 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122) :args (@t266)) % 0.52/0.71 (step @p132 :rule quant-miniscope-or :args ((= (forall @t163 @t267) @t266))) % 0.52/0.71 (step @p133 :rule aci_norm :args ((= @t268 @t267))) % 0.52/0.71 (step @p134 :rule cong :premises (@p133) :args ((forall @t163 @t268))) % 0.52/0.71 (step @p135 :rule trans :premises (@p134 @p132)) % 0.52/0.71 (step @p136 :rule trans :premises (@p135 @p131)) % 0.52/0.71 (step @p137 :rule aci_norm :args ((= (or @t270 @t269) @t268))) % 0.52/0.71 (step @p138 :rule aci_norm :args ((= (or @t190 @t271) @t269))) % 0.52/0.71 (step @p139 :rule aci_norm :args ((= (or @t272 (or @t186 @t234)) @t271))) % 0.52/0.71 (step @p140 :rule bool-impl-elim :args (@t104 @t234)) % 0.52/0.71 (step @p141 :rule aci_norm :args ((= (or @t197 (or @t189 @t187)) @t272))) % 0.52/0.71 (step @p142 :rule bool-and-de-morgan :args (@t188 @t106 true)) % 0.52/0.71 (step @p143 :rule nary_cong :premises (@p113 @p142) :args ((or @t197 (not (and @t188 @t106))))) % 0.52/0.71 (step @p144 :rule bool-and-de-morgan :args (@t196 @t188 (and @t106))) % 0.52/0.71 (step @p145 :rule trans :premises (@p144 @p143)) % 0.52/0.71 (step @p146 :rule trans :premises (@p145 @p141)) % 0.52/0.71 (step @p147 :rule nary_cong :premises (@p146 @p140) :args ((or (not @t274) @t273))) % 0.52/0.71 (step @p148 :rule trans :premises (@p147 @p139)) % 0.52/0.71 (step @p149 :rule bool-impl-elim :args (@t274 @t273)) % 0.52/0.71 (step @p150 :rule trans :premises (@p149 @p148)) % 0.52/0.71 (step @p151 :rule nary_cong :premises (@p114 @p150) :args ((or @t190 @t275))) % 0.52/0.71 (step @p152 :rule trans :premises (@p151 @p138)) % 0.52/0.71 (step @p153 :rule bool-impl-elim :args (@t112 @t275)) % 0.52/0.71 (step @p154 :rule trans :premises (@p153 @p152)) % 0.52/0.71 (step @p155 :rule aci_norm :args ((= (or @t265 (or @t263 (or @t261 (or @t259 (or @t257 (or @t255 (or @t251 (or @t245 @t198)))))))) @t270))) % 0.52/0.71 (step @p156 :rule bool-and-de-morgan :args (@t244 @t115 true)) % 0.52/0.71 (step @p157 :rule refl :args (@t251)) % 0.52/0.71 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or @t251 (not (and @t244 @t115))))) % 0.52/0.71 (step @p159 :rule bool-and-de-morgan :args (@t250 @t244 (and @t115))) % 0.52/0.71 (step @p160 :rule trans :premises (@p159 @p158)) % 0.52/0.71 (step @p161 :rule refl :args (@t255)) % 0.52/0.71 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t255 (not (and @t250 @t244 @t115))))) % 0.52/0.71 (step @p163 :rule bool-and-de-morgan :args (@t254 @t250 (and @t244 @t115))) % 0.52/0.71 (step @p164 :rule trans :premises (@p163 @p162)) % 0.52/0.71 (step @p165 :rule refl :args (@t257)) % 0.52/0.71 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t257 (not (and @t254 @t250 @t244 @t115))))) % 0.52/0.71 (step @p167 :rule bool-and-de-morgan :args (@t256 @t254 (and @t250 @t244 @t115))) % 0.52/0.71 (step @p168 :rule trans :premises (@p167 @p166)) % 0.52/0.71 (step @p169 :rule refl :args (@t259)) % 0.52/0.71 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t259 (not (and @t256 @t254 @t250 @t244 @t115))))) % 0.52/0.71 (step @p171 :rule bool-and-de-morgan :args (@t258 @t256 (and @t254 @t250 @t244 @t115))) % 0.52/0.71 (step @p172 :rule trans :premises (@p171 @p170)) % 0.52/0.71 (step @p173 :rule refl :args (@t261)) % 0.52/0.71 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or @t261 (not (and @t258 @t256 @t254 @t250 @t244 @t115))))) % 0.52/0.71 (step @p175 :rule bool-and-de-morgan :args (@t260 @t258 (and @t256 @t254 @t250 @t244 @t115))) % 0.52/0.71 (step @p176 :rule trans :premises (@p175 @p174)) % 0.52/0.71 (step @p177 :rule refl :args (@t263)) % 0.52/0.71 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or @t263 (not (and @t260 @t258 @t256 @t254 @t250 @t244 @t115))))) % 0.52/0.71 (step @p179 :rule bool-and-de-morgan :args (@t262 @t260 (and @t258 @t256 @t254 @t250 @t244 @t115))) % 0.52/0.71 (step @p180 :rule trans :premises (@p179 @p178)) % 0.52/0.71 (step @p181 :rule refl :args (@t265)) % 0.52/0.71 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or @t265 (not (and @t262 @t260 @t258 @t256 @t254 @t250 @t244 @t115))))) % 0.52/0.71 (step @p183 :rule bool-and-de-morgan :args (@t264 @t262 (and @t260 @t258 @t256 @t254 @t250 @t244 @t115))) % 0.52/0.71 (step @p184 :rule trans :premises (@p183 @p182)) % 0.52/0.71 (step @p185 :rule trans :premises (@p184 @p155)) % 0.52/0.71 (step @p186 :rule nary_cong :premises (@p185 @p154) :args ((or (not @t277) @t276))) % 0.52/0.71 (step @p187 :rule trans :premises (@p186 @p137)) % 0.52/0.71 (step @p188 :rule bool-impl-elim :args (@t277 @t276)) % 0.52/0.71 (step @p189 :rule trans :premises (@p188 @p187)) % 0.52/0.71 (step @p190 :rule cong :premises (@p189) :args ((forall @t163 (=> @t277 @t276)))) % 0.52/0.71 (step @p191 :rule trans :premises (@p190 @p136)) % 0.52/0.71 (step @p192 :rule aci_norm :args ((= @t279 @t232))) % 0.52/0.71 (step @p193 :rule cong :premises (@p192) :args (@t280)) % 0.52/0.71 (step @p194 :rule quant-merge-prenex :args ((= (forall @t101 @t282) @t280))) % 0.52/0.71 (step @p195 :rule alpha_equiv :args (@t283 (@list @t215 @t214 @t213 @t212) (@list @t72 @t286 @t285 @t284))) % 0.52/0.71 (step @p196 :rule refl :args (@t231)) % 0.52/0.71 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (@t287)) % 0.52/0.71 (step @p198 :rule quant-miniscope-or :args ((= @t282 @t287))) % 0.52/0.71 (step @p199 :rule trans :premises (@p198 @p197)) % 0.52/0.71 (step @p200 :rule symm :premises (@p199)) % 0.52/0.71 (step @p201 :rule cong :premises (@p200) :args ((forall @t101 (or @t231 @t302)))) % 0.52/0.71 (step @p202 :rule trans :premises (@p201 @p194)) % 0.52/0.71 (step @p203 :rule trans :premises (@p202 @p193)) % 0.52/0.71 (step @p204 :rule refl :args (@t302)) % 0.52/0.71 (step @p205 :rule bool-or-de-morgan :args (@t98 @t230 false)) % 0.52/0.71 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or (not @t303) @t302))) % 0.52/0.71 (step @p207 :rule bool-impl-elim :args (@t303 @t302)) % 0.52/0.71 (step @p208 :rule trans :premises (@p207 @p206)) % 0.52/0.71 (step @p209 :rule cong :premises (@p208) :args ((forall @t101 (=> @t303 @t302)))) % 0.52/0.71 (step @p210 :rule trans :premises (@p209 @p203)) % 0.52/0.71 (step @p211 :rule aci_norm :args ((= @t305 @t300))) % 0.52/0.71 (step @p212 :rule cong :premises (@p211) :args (@t306)) % 0.52/0.71 (step @p213 :rule quant-merge-prenex :args ((= (forall @t95 @t308) @t306))) % 0.52/0.71 (step @p214 :rule alpha_equiv :args (@t309 (@list @t286 @t285 @t284) (@list @t68 @t66 @t310))) % 0.52/0.71 (step @p215 :rule refl :args (@t297)) % 0.52/0.71 (step @p216 :rule refl :args (@t298)) % 0.52/0.71 (step @p217 :rule refl :args (@t299)) % 0.52/0.71 (step @p218 :rule nary_cong :premises (@p217 @p216 @p215 @p214) :args (@t311)) % 0.52/0.71 (step @p219 :rule quant-miniscope-or :args ((= @t308 @t311))) % 0.52/0.71 (step @p220 :rule trans :premises (@p219 @p218)) % 0.52/0.71 (step @p221 :rule symm :premises (@p220)) % 0.52/0.71 (step @p222 :rule cong :premises (@p221) :args ((forall @t95 @t322))) % 0.52/0.71 (step @p223 :rule trans :premises (@p222 @p213)) % 0.52/0.71 (step @p224 :rule trans :premises (@p223 @p212)) % 0.52/0.71 (step @p225 :rule aci_norm :args ((= (or @t299 @t323) @t322))) % 0.52/0.71 (step @p226 :rule aci_norm :args ((= (or @t298 @t324) @t323))) % 0.52/0.71 (step @p227 :rule bool-impl-elim :args (@t91 @t324)) % 0.52/0.71 (step @p228 :rule trans :premises (@p227 @p226)) % 0.52/0.71 (step @p229 :rule nary_cong :premises (@p217 @p228) :args ((or @t299 @t325))) % 0.52/0.71 (step @p230 :rule trans :premises (@p229 @p225)) % 0.52/0.71 (step @p231 :rule bool-impl-elim :args (@t93 @t325)) % 0.52/0.71 (step @p232 :rule trans :premises (@p231 @p230)) % 0.52/0.71 (step @p233 :rule cong :premises (@p232) :args ((forall @t95 (=> @t93 @t325)))) % 0.52/0.71 (step @p234 :rule trans :premises (@p233 @p224)) % 0.52/0.71 (step @p235 :rule aci_norm :args ((= @t327 @t319))) % 0.52/0.71 (step @p236 :rule cong :premises (@p235) :args (@t328)) % 0.52/0.71 (step @p237 :rule quant-merge-prenex :args ((= (forall @t89 @t330) @t328))) % 0.52/0.71 (step @p238 :rule alpha_equiv :args (@t331 (@list @t310) (@list @t64))) % 0.52/0.71 (step @p239 :rule refl :args (@t314)) % 0.52/0.71 (step @p240 :rule refl :args (@t315)) % 0.52/0.71 (step @p241 :rule refl :args (@t316)) % 0.52/0.71 (step @p242 :rule refl :args (@t82)) % 0.52/0.71 (step @p243 :rule refl :args (@t86)) % 0.52/0.71 (step @p244 :rule refl :args (@t318)) % 0.52/0.71 (step @p245 :rule nary_cong :premises (@p244 @p243 @p242 @p241 @p240 @p239 @p238) :args (@t332)) % 0.52/0.71 (step @p246 :rule quant-miniscope-or :args ((= @t330 @t332))) % 0.52/0.71 (step @p247 :rule trans :premises (@p246 @p245)) % 0.52/0.71 (step @p248 :rule symm :premises (@p247)) % 0.52/0.71 (step @p249 :rule cong :premises (@p248) :args (@t339)) % 0.52/0.71 (step @p250 :rule trans :premises (@p249 @p237)) % 0.52/0.71 (step @p251 :rule trans :premises (@p250 @p236)) % 0.52/0.71 (step @p252 :rule refl :args (@t297)) % 0.52/0.71 (step @p253 :rule nary_cong :premises (@p252 @p251) :args (@t340)) % 0.52/0.71 (step @p254 :rule quant-miniscope-or :args ((= (forall @t89 @t341) @t340))) % 0.52/0.71 (step @p255 :rule aci_norm :args ((= @t342 @t341))) % 0.52/0.71 (step @p256 :rule cong :premises (@p255) :args ((forall @t89 @t342))) % 0.52/0.71 (step @p257 :rule trans :premises (@p256 @p254)) % 0.52/0.71 (step @p258 :rule trans :premises (@p257 @p253)) % 0.52/0.71 (step @p259 :rule aci_norm :args ((= (or @t86 @t343) @t342))) % 0.52/0.71 (step @p260 :rule aci_norm :args ((= (or @t82 @t344) @t343))) % 0.52/0.71 (step @p261 :rule refl :args (@t344)) % 0.52/0.71 (step @p262 :rule bool-double-not-elim :args (@t82)) % 0.52/0.71 (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or (not @t83) @t344))) % 0.52/0.71 (step @p264 :rule bool-impl-elim :args (@t83 @t344)) % 0.52/0.71 (step @p265 :rule trans :premises (@p264 @p263)) % 0.52/0.71 (step @p266 :rule trans :premises (@p265 @p260)) % 0.52/0.71 (step @p267 :rule nary_cong :premises (@p243 @p266) :args ((or @t86 @t345))) % 0.52/0.71 (step @p268 :rule trans :premises (@p267 @p259)) % 0.52/0.71 (step @p269 :rule refl :args (@t345)) % 0.52/0.71 (step @p270 :rule bool-double-not-elim :args (@t86)) % 0.52/0.71 (step @p271 :rule nary_cong :premises (@p270 @p269) :args ((or (not @t87) @t345))) % 0.52/0.71 (step @p272 :rule bool-impl-elim :args (@t87 @t345)) % 0.52/0.71 (step @p273 :rule trans :premises (@p272 @p271)) % 0.52/0.71 (step @p274 :rule trans :premises (@p273 @p268)) % 0.52/0.71 (step @p275 :rule cong :premises (@p274) :args ((forall @t89 (=> @t87 @t345)))) % 0.52/0.71 (step @p276 :rule trans :premises (@p275 @p258)) % 0.52/0.71 (step @p277 :rule quant-miniscope-or :args ((= (forall @t80 @t346) @t344))) % 0.52/0.71 (step @p278 :rule aci_norm :args ((= @t347 @t346))) % 0.52/0.71 (step @p279 :rule cong :premises (@p278) :args ((forall @t80 @t347))) % 0.52/0.71 (step @p280 :rule trans :premises (@p279 @p277)) % 0.52/0.71 (step @p281 :rule aci_norm :args ((= (or (or @t316 @t297 @t315 @t318 @t335) (or @t314 @t333)) @t347))) % 0.52/0.71 (step @p282 :rule bool-and-de-morgan :args (@t69 @t65 true)) % 0.52/0.71 (step @p283 :rule refl :args (@t335)) % 0.52/0.71 (step @p284 :rule bool-double-not-elim :args (@t316)) % 0.52/0.71 (step @p285 :rule nary_cong :premises (@p284 @p215 @p240 @p244 @p283) :args (@t350)) % 0.52/0.71 (step @p286 :rule aci_norm :args ((= (or @t349 (or @t297 (or @t315 (or @t318 @t335)))) @t350))) % 0.52/0.71 (step @p287 :rule trans :premises (@p286 @p285)) % 0.52/0.71 (step @p288 :rule bool-and-de-morgan :args (@t317 @t334 true)) % 0.52/0.71 (step @p289 :rule nary_cong :premises (@p240 @p288) :args ((or @t315 (not (and @t317 @t334))))) % 0.52/0.71 (step @p290 :rule bool-and-de-morgan :args (@t75 @t317 (and @t334))) % 0.52/0.71 (step @p291 :rule trans :premises (@p290 @p289)) % 0.52/0.71 (step @p292 :rule nary_cong :premises (@p215 @p291) :args ((or @t297 (not (and @t75 @t317 @t334))))) % 0.52/0.71 (step @p293 :rule bool-and-de-morgan :args (@t76 @t75 (and @t317 @t334))) % 0.52/0.71 (step @p294 :rule trans :premises (@p293 @p292)) % 0.52/0.71 (step @p295 :rule refl :args (@t349)) % 0.52/0.71 (step @p296 :rule nary_cong :premises (@p295 @p294) :args ((or @t349 (not (and @t76 @t75 @t317 @t334))))) % 0.52/0.71 (step @p297 :rule bool-and-de-morgan :args (@t348 @t76 (and @t75 @t317 @t334))) % 0.52/0.71 (step @p298 :rule trans :premises (@p297 @p296)) % 0.52/0.71 (step @p299 :rule trans :premises (@p298 @p287)) % 0.52/0.71 (step @p300 :rule nary_cong :premises (@p299 @p282) :args ((or (not @t351) @t70))) % 0.52/0.71 (step @p301 :rule trans :premises (@p300 @p281)) % 0.52/0.71 (step @p302 :rule bool-impl-elim :args (@t351 @t70)) % 0.52/0.71 (step @p303 :rule trans :premises (@p302 @p301)) % 0.52/0.71 (step @p304 :rule cong :premises (@p303) :args ((forall @t80 (=> @t351 @t70)))) % 0.52/0.71 (step @p305 :rule trans :premises (@p304 @p280)) % 0.52/0.71 (step @p306 :rule refl :args (@t70)) % 0.52/0.71 (step @p307 :rule eq-symm :args (@t71 @t67)) % 0.52/0.71 (step @p308 :rule eq-symm :args (@t74 @t73)) % 0.52/0.71 (step @p309 :rule refl :args (@t75)) % 0.52/0.71 (step @p310 :rule refl :args (@t76)) % 0.52/0.71 (step @p311 :rule eq-symm :args (@t67 @t73)) % 0.52/0.71 (step @p312 :rule cong :premises (@p311) :args (@t77)) % 0.52/0.71 (step @p313 :rule nary_cong :premises (@p312 @p310 @p309 @p308 @p307) :args (@t78)) % 0.52/0.71 (step @p314 :rule cong :premises (@p313 @p306) :args (@t79)) % 0.52/0.71 (step @p315 :rule cong :premises (@p314) :args (@t81)) % 0.52/0.71 (step @p316 :rule trans :premises (@p315 @p305)) % 0.52/0.71 (step @p317 :rule refl :args (@t83)) % 0.52/0.71 (step @p318 :rule cong :premises (@p317 @p316) :args (@t84)) % 0.52/0.71 (step @p319 :rule refl :args (@t87)) % 0.52/0.71 (step @p320 :rule cong :premises (@p319 @p318) :args (@t88)) % 0.52/0.71 (step @p321 :rule cong :premises (@p320) :args (@t90)) % 0.52/0.71 (step @p322 :rule trans :premises (@p321 @p276)) % 0.52/0.71 (step @p323 :rule refl :args (@t91)) % 0.52/0.71 (step @p324 :rule cong :premises (@p323 @p322) :args (@t92)) % 0.52/0.71 (step @p325 :rule refl :args (@t93)) % 0.52/0.71 (step @p326 :rule cong :premises (@p325 @p324) :args (@t94)) % 0.52/0.71 (step @p327 :rule cong :premises (@p326) :args (@t96)) % 0.52/0.71 (step @p328 :rule trans :premises (@p327 @p234)) % 0.52/0.71 (step @p329 :rule eq-symm :args (@t85 @t57)) % 0.52/0.71 (step @p330 :rule refl :args (@t98)) % 0.52/0.71 (step @p331 :rule nary_cong :premises (@p330 @p329) :args (@t99)) % 0.52/0.71 (step @p332 :rule cong :premises (@p331 @p328) :args (@t100)) % 0.52/0.71 (step @p333 :rule cong :premises (@p332) :args (@t102)) % 0.52/0.71 (step @p334 :rule trans :premises (@p333 @p210)) % 0.52/0.71 (step @p335 :rule refl :args (@t104)) % 0.52/0.71 (step @p336 :rule cong :premises (@p335 @p334) :args (@t105)) % 0.52/0.71 (step @p337 :rule refl :args (@t106)) % 0.52/0.71 (step @p338 :rule eq-symm :args (@t107 tptp.elec_2)) % 0.52/0.71 (step @p339 :rule eq-symm :args (@t109 @t108)) % 0.52/0.71 (step @p340 :rule nary_cong :premises (@p339 @p338 @p337) :args (@t110)) % 0.52/0.71 (step @p341 :rule cong :premises (@p340 @p336) :args (@t111)) % 0.52/0.71 (step @p342 :rule refl :args (@t112)) % 0.52/0.71 (step @p343 :rule cong :premises (@p342 @p341) :args (@t113)) % 0.52/0.71 (step @p344 :rule refl :args (@t115)) % 0.52/0.71 (step @p345 :rule aci_norm :args ((= (or (or @t242 @t137 @t241 @t240 @t238) (or @t159 @t237)) @t243))) % 0.52/0.71 (step @p346 :rule bool-and-de-morgan :args (@t123 @t120 true)) % 0.52/0.71 (step @p347 :rule refl :args (@t238)) % 0.52/0.71 (step @p348 :rule refl :args (@t240)) % 0.52/0.71 (step @p349 :rule refl :args (@t241)) % 0.52/0.71 (step @p350 :rule refl :args (@t137)) % 0.52/0.71 (step @p351 :rule bool-double-not-elim :args (@t242)) % 0.52/0.71 (step @p352 :rule nary_cong :premises (@p351 @p350 @p349 @p348 @p347) :args (@t354)) % 0.52/0.71 (step @p353 :rule aci_norm :args ((= (or @t353 (or @t137 (or @t241 (or @t240 @t238)))) @t354))) % 0.52/0.71 (step @p354 :rule trans :premises (@p353 @p352)) % 0.52/0.71 (step @p355 :rule bool-and-de-morgan :args (@t239 @t126 true)) % 0.52/0.71 (step @p356 :rule nary_cong :premises (@p349 @p355) :args ((or @t241 (not (and @t239 @t126))))) % 0.52/0.71 (step @p357 :rule bool-and-de-morgan :args (@t128 @t239 (and @t126))) % 0.52/0.71 (step @p358 :rule trans :premises (@p357 @p356)) % 0.52/0.71 (step @p359 :rule nary_cong :premises (@p350 @p358) :args ((or @t137 (not (and @t128 @t239 @t126))))) % 0.52/0.71 (step @p360 :rule bool-and-de-morgan :args (@t129 @t128 (and @t239 @t126))) % 0.52/0.71 (step @p361 :rule trans :premises (@p360 @p359)) % 0.52/0.71 (step @p362 :rule refl :args (@t353)) % 0.52/0.71 (step @p363 :rule nary_cong :premises (@p362 @p361) :args ((or @t353 (not (and @t129 @t128 @t239 @t126))))) % 0.52/0.71 (step @p364 :rule bool-and-de-morgan :args (@t352 @t129 (and @t128 @t239 @t126))) % 0.52/0.71 (step @p365 :rule trans :premises (@p364 @p363)) % 0.52/0.71 (step @p366 :rule trans :premises (@p365 @p354)) % 0.52/0.71 (step @p367 :rule nary_cong :premises (@p366 @p346) :args ((or (not @t355) @t124))) % 0.52/0.71 (step @p368 :rule trans :premises (@p367 @p345)) % 0.52/0.71 (step @p369 :rule bool-impl-elim :args (@t355 @t124)) % 0.52/0.71 (step @p370 :rule trans :premises (@p369 @p368)) % 0.52/0.71 (step @p371 :rule cong :premises (@p370) :args ((forall @t133 (=> @t355 @t124)))) % 0.52/0.71 (step @p372 :rule refl :args (@t124)) % 0.52/0.71 (step @p373 :rule refl :args (@t126)) % 0.52/0.71 (step @p374 :rule eq-symm :args (@t127 @t85)) % 0.52/0.71 (step @p375 :rule refl :args (@t128)) % 0.52/0.71 (step @p376 :rule refl :args (@t129)) % 0.52/0.71 (step @p377 :rule eq-symm :args (@t117 @t85)) % 0.52/0.71 (step @p378 :rule cong :premises (@p377) :args (@t130)) % 0.52/0.71 (step @p379 :rule nary_cong :premises (@p378 @p376 @p375 @p374 @p373) :args (@t131)) % 0.52/0.71 (step @p380 :rule cong :premises (@p379 @p372) :args (@t132)) % 0.52/0.71 (step @p381 :rule cong :premises (@p380) :args (@t134)) % 0.52/0.71 (step @p382 :rule trans :premises (@p381 @p371)) % 0.52/0.71 (step @p383 :rule aci_norm :args ((= (or (or @t248 @t247) @t138) @t249))) % 0.52/0.71 (step @p384 :rule refl :args (@t138)) % 0.52/0.71 (step @p385 :rule refl :args (@t247)) % 0.52/0.71 (step @p386 :rule bool-double-not-elim :args (@t248)) % 0.52/0.71 (step @p387 :rule nary_cong :premises (@p386 @p385) :args ((or (not @t356) @t247))) % 0.52/0.71 (step @p388 :rule bool-and-de-morgan :args (@t356 @t246 true)) % 0.52/0.71 (step @p389 :rule trans :premises (@p388 @p387)) % 0.52/0.71 (step @p390 :rule nary_cong :premises (@p389 @p384) :args ((or (not @t357) @t138))) % 0.52/0.71 (step @p391 :rule trans :premises (@p390 @p383)) % 0.52/0.71 (step @p392 :rule bool-impl-elim :args (@t357 @t138)) % 0.52/0.71 (step @p393 :rule trans :premises (@p392 @p391)) % 0.52/0.71 (step @p394 :rule cong :premises (@p393) :args ((forall @t143 (=> @t357 @t138)))) % 0.52/0.71 (step @p395 :rule refl :args (@t138)) % 0.52/0.71 (step @p396 :rule eq-symm :args (@t125 @t85)) % 0.52/0.71 (step @p397 :rule eq-symm :args (@t122 @t11)) % 0.52/0.71 (step @p398 :rule cong :premises (@p397) :args (@t140)) % 0.52/0.71 (step @p399 :rule nary_cong :premises (@p398 @p396) :args (@t141)) % 0.52/0.71 (step @p400 :rule cong :premises (@p399 @p395) :args (@t142)) % 0.52/0.71 (step @p401 :rule cong :premises (@p400) :args (@t144)) % 0.52/0.71 (step @p402 :rule trans :premises (@p401 @p394)) % 0.52/0.71 (step @p403 :rule aci_norm :args ((= (or (or @t129 @t252 @t247) @t136) @t253))) % 0.52/0.71 (step @p404 :rule refl :args (@t136)) % 0.52/0.71 (step @p405 :rule refl :args (@t252)) % 0.52/0.71 (step @p406 :rule bool-double-not-elim :args (@t129)) % 0.52/0.71 (step @p407 :rule nary_cong :premises (@p406 @p405 @p385) :args (@t359)) % 0.52/0.71 (step @p408 :rule aci_norm :args ((= (or @t358 (or @t252 @t247)) @t359))) % 0.52/0.71 (step @p409 :rule trans :premises (@p408 @p407)) % 0.52/0.71 (step @p410 :rule bool-and-de-morgan :args (@t145 @t246 true)) % 0.52/0.71 (step @p411 :rule refl :args (@t358)) % 0.52/0.71 (step @p412 :rule nary_cong :premises (@p411 @p410) :args ((or @t358 (not (and @t145 @t246))))) % 0.52/0.71 (step @p413 :rule bool-and-de-morgan :args (@t137 @t145 (and @t246))) % 0.52/0.71 (step @p414 :rule trans :premises (@p413 @p412)) % 0.52/0.71 (step @p415 :rule trans :premises (@p414 @p409)) % 0.52/0.71 (step @p416 :rule nary_cong :premises (@p415 @p404) :args ((or (not @t360) @t136))) % 0.52/0.71 (step @p417 :rule trans :premises (@p416 @p403)) % 0.52/0.71 (step @p418 :rule bool-impl-elim :args (@t360 @t136)) % 0.52/0.71 (step @p419 :rule trans :premises (@p418 @p417)) % 0.52/0.71 (step @p420 :rule cong :premises (@p419) :args ((forall @t143 (=> @t360 @t136)))) % 0.52/0.71 (step @p421 :rule refl :args (@t136)) % 0.52/0.71 (step @p422 :rule refl :args (@t145)) % 0.52/0.71 (step @p423 :rule refl :args (@t137)) % 0.52/0.71 (step @p424 :rule nary_cong :premises (@p423 @p422 @p396) :args (@t146)) % 0.52/0.71 (step @p425 :rule cong :premises (@p424 @p421) :args (@t147)) % 0.52/0.71 (step @p426 :rule cong :premises (@p425) :args (@t148)) % 0.52/0.71 (step @p427 :rule trans :premises (@p426 @p420)) % 0.52/0.71 (step @p428 :rule bool-impl-elim :args (@t150 @t149)) % 0.52/0.71 (step @p429 :rule cong :premises (@p428) :args (@t152)) % 0.52/0.71 (step @p430 :rule bool-impl-elim :args (@t153 @t149)) % 0.52/0.71 (step @p431 :rule cong :premises (@p430) :args (@t154)) % 0.52/0.71 (step @p432 :rule bool-impl-elim :args (@t123 @t247)) % 0.52/0.71 (step @p433 :rule cong :premises (@p432) :args ((forall @t143 (=> @t123 @t247)))) % 0.52/0.71 (step @p434 :rule cong :premises (@p396) :args (@t155)) % 0.52/0.71 (step @p435 :rule refl :args (@t123)) % 0.52/0.71 (step @p436 :rule cong :premises (@p435 @p434) :args (@t156)) % 0.52/0.71 (step @p437 :rule cong :premises (@p436) :args (@t157)) % 0.52/0.71 (step @p438 :rule trans :premises (@p437 @p433)) % 0.52/0.71 (step @p439 :rule bool-impl-elim :args (@t123 @t136)) % 0.52/0.71 (step @p440 :rule cong :premises (@p439) :args (@t158)) % 0.52/0.71 (step @p441 :rule bool-impl-elim :args (@t135 @t159)) % 0.52/0.71 (step @p442 :rule cong :premises (@p441) :args (@t160)) % 0.52/0.71 (step @p443 :rule nary_cong :premises (@p442 @p440 @p438 @p431 @p429 @p427 @p402 @p382 @p344) :args (@t161)) % 0.52/0.71 (step @p444 :rule cong :premises (@p443 @p343) :args (@t162)) % 0.52/0.71 (step @p445 :rule cong :premises (@p444) :args (@t164)) % 0.52/0.71 (step @p446 :rule trans :premises (@p445 @p191)) % 0.52/0.71 (step @p447 :rule cong :premises (@p446) :args (@t165)) % 0.52/0.71 (step @p448 :rule eq_resolve :premises (@p67 @p447)) % 0.52/0.71 (step @p449 :rule not_or_elim :premises (@p448) :args (7)) % 0.52/0.71 (step @p450 :rule not_not_elim :premises (@p449)) % 0.52/0.71 (step @p451 :rule refl :args (@t367)) % 0.52/0.71 (step @p452 :rule refl :args (@t372)) % 0.52/0.71 (step @p453 :rule eq-symm :args (@t373 @t363)) % 0.52/0.71 (step @p454 :rule cong :premises (@p453) :args (@t374)) % 0.52/0.71 (step @p455 :rule refl :args (@t376)) % 0.52/0.71 (step @p456 :rule refl :args (@t378)) % 0.52/0.71 (step @p457 :rule refl :args (@t380)) % 0.52/0.71 (step @p458 :rule eq-symm :args (@t369 @t363)) % 0.52/0.71 (step @p459 :rule nary_cong :premises (@p458 @p457 @p456 @p455 @p454 @p452 @p451) :args (@t381)) % 0.52/0.71 (step @p460 :rule refl :args (@t244)) % 0.52/0.71 (step @p461 :rule cong :premises (@p460 @p459) :args ((=> @t244 @t381))) % 0.52/0.71 (assume-push @p574 @t244) % 0.52/0.71 (step @p463 :rule instantiate :premises (@p450) :args ((@list @t368 @t365 @t362 @t370))) % 0.52/0.71 (step-pop @p575 :rule scope :premises (@p463)) % 0.52/0.71 (step @p464 :rule process_scope :premises (@p575) :args (@t381)) % 0.52/0.71 (step @p466 :rule eq_resolve :premises (@p464 @p461)) % 0.52/0.71 (step @p467 :rule implies_elim :premises (@p466)) % 0.52/0.71 (step @p468 :rule chain_m_resolution :premises (@p467 @p450) :args (@t385 @t386 (@list @t244))) % 0.52/0.71 (step @p469 :rule not_or_elim :premises (@p448) :args (8)) % 0.52/0.71 (step @p470 :rule skolemize :premises (@p469)) % 0.52/0.71 (step @p471 :rule bool-double-not-elim :args (@t389)) % 0.52/0.71 (step @p472 :rule refl :args (@t405)) % 0.52/0.71 (step @p473 :rule nary_cong :premises (@p472 @p471) :args ((or @t405 (not @t395)))) % 0.52/0.71 (step @p474 :rule cnf_or_neg :args (@t405 9)) % 0.52/0.71 (step @p475 :rule eq_resolve :premises (@p474 @p473)) % 0.52/0.71 (step @p476 :rule reordering :premises (@p475) :args ((or @t389 @t405))) % 0.52/0.71 (step @p477 :rule chain_m_resolution :premises (@p476 @p470) :args (@t389 @t406 @t407)) % 0.52/0.71 (step @p478 :rule bool-double-not-elim :args (@t396)) % 0.52/0.71 (step @p479 :rule nary_cong :premises (@p472 @p478) :args ((or @t405 (not @t397)))) % 0.52/0.71 (step @p480 :rule cnf_or_neg :args (@t405 7)) % 0.52/0.71 (step @p481 :rule eq_resolve :premises (@p480 @p479)) % 0.52/0.71 (step @p482 :rule reordering :premises (@p481) :args ((or @t396 @t405))) % 0.52/0.71 (step @p483 :rule chain_m_resolution :premises (@p482 @p470) :args (@t396 @t406 @t407)) % 0.52/0.71 (step @p484 :rule trans :premises (@p483 @p477)) % 0.52/0.71 (step @p485 :rule bool-double-not-elim :args (@t375)) % 0.52/0.71 (step @p486 :rule nary_cong :premises (@p472 @p485) :args ((or @t405 (not @t376)))) % 0.52/0.71 (step @p487 :rule cnf_or_neg :args (@t405 15)) % 0.52/0.71 (step @p488 :rule eq_resolve :premises (@p487 @p486)) % 0.52/0.71 (step @p489 :rule reordering :premises (@p488) :args ((or @t375 @t405))) % 0.52/0.71 (step @p490 :rule chain_m_resolution :premises (@p489 @p470) :args (@t375 @t406 @t407)) % 0.52/0.71 (step @p491 :rule bool-double-not-elim :args (@t371)) % 0.52/0.71 (step @p492 :rule nary_cong :premises (@p472 @p491) :args ((or @t405 (not @t372)))) % 0.52/0.71 (step @p493 :rule cnf_or_neg :args (@t405 14)) % 0.52/0.71 (step @p494 :rule eq_resolve :premises (@p493 @p492)) % 0.52/0.71 (step @p495 :rule reordering :premises (@p494) :args ((or @t371 @t405))) % 0.52/0.71 (step @p496 :rule chain_m_resolution :premises (@p495 @p470) :args (@t371 @t406 @t407)) % 0.52/0.71 (step @p497 :rule bool-double-not-elim :args (@t379)) % 0.52/0.71 (step @p498 :rule nary_cong :premises (@p472 @p497) :args ((or @t405 (not @t380)))) % 0.52/0.71 (step @p499 :rule cnf_or_neg :args (@t405 13)) % 0.52/0.71 (step @p500 :rule eq_resolve :premises (@p499 @p498)) % 0.52/0.71 (step @p501 :rule reordering :premises (@p500) :args ((or @t379 @t405))) % 0.52/0.71 (step @p502 :rule chain_m_resolution :premises (@p501 @p470) :args (@t379 @t406 @t407)) % 0.52/0.71 (step @p503 :rule cnf_or_neg :args (@t405 11)) % 0.52/0.71 (step @p504 :rule chain_m_resolution :premises (@p503 @p470) :args ((not @t384) @t406 @t407)) % 0.52/0.71 (step @p505 :rule bool-double-not-elim :args (@t377)) % 0.52/0.71 (step @p506 :rule nary_cong :premises (@p472 @p505) :args ((or @t405 (not @t378)))) % 0.52/0.71 (step @p507 :rule cnf_or_neg :args (@t405 1)) % 0.52/0.71 (step @p508 :rule eq_resolve :premises (@p507 @p506)) % 0.52/0.71 (step @p509 :rule reordering :premises (@p508) :args ((or @t377 @t405))) % 0.52/0.71 (step @p510 :rule chain_m_resolution :premises (@p509 @p470) :args (@t377 @t406 @t407)) % 0.52/0.71 (step @p511 :rule cnf_or_pos :args (@t385)) % 0.52/0.71 (step @p512 :rule reordering :premises (@p511) :args ((or @t378 @t384 @t380 @t372 @t376 @t383 @t367 (not @t385)))) % 0.52/0.71 (step @p513 :rule chain_m_resolution :premises (@p512 @p510 @p504 @p502 @p496 @p490 @p484 @p468) :args (@t367 (@list false true false false false false false) (@list @t377 @t384 @t379 @t371 @t375 @t382 @t385))) % 0.52/0.71 (step @p514 :rule false_intro :premises (@p513)) % 0.52/0.71 (step @p515 :rule bool-double-not-elim :args (@t403)) % 0.52/0.71 (step @p516 :rule nary_cong :premises (@p472 @p515) :args ((or @t405 (not @t404)))) % 0.52/0.71 (step @p517 :rule cnf_or_neg :args (@t405 0)) % 0.52/0.71 (step @p518 :rule eq_resolve :premises (@p517 @p516)) % 0.52/0.71 (step @p519 :rule reordering :premises (@p518) :args ((or @t403 @t405))) % 0.52/0.71 (step @p520 :rule chain_m_resolution :premises (@p519 @p470) :args (@t403 @t406 @t407)) % 0.52/0.71 (step @p521 :rule symm :premises (@p520)) % 0.52/0.71 (step @p522 :rule refl :args (@t366)) % 0.52/0.71 (step @p523 :rule cong :premises (@p522 @p521) :args (@t408)) % 0.52/0.71 (step @p524 :rule refl :args (@t409)) % 0.52/0.71 (step @p525 :rule eq-symm :args (@t366 @t401)) % 0.52/0.71 (step @p526 :rule nary_cong :premises (@p525 @p524) :args (@t410)) % 0.52/0.71 (step @p527 :rule refl :args (@t408)) % 0.52/0.71 (step @p528 :rule cong :premises (@p527 @p526) :args (@t411)) % 0.52/0.71 (step @p529 :rule refl :args (@t46)) % 0.52/0.71 (step @p530 :rule cong :premises (@p529 @p528) :args ((=> @t46 @t411))) % 0.52/0.71 (assume-push @p576 @t46) % 0.52/0.71 (step @p532 :rule instantiate :premises (@p47) :args ((@list @t366 @t401 @t391))) % 0.52/0.71 (step-pop @p577 :rule scope :premises (@p532)) % 0.52/0.71 (step @p533 :rule process_scope :premises (@p577) :args (@t411)) % 0.52/0.71 (step @p535 :rule eq_resolve :premises (@p533 @p530)) % 0.52/0.71 (step @p536 :rule implies_elim :premises (@p535)) % 0.52/0.71 (step @p537 :rule chain_m_resolution :premises (@p536 @p47) :args (@t413 @t386 (@list @t46))) % 0.52/0.71 (step @p538 :rule eq-symm :args (@t47 @t45)) % 0.52/0.71 (step @p539 :rule cong :premises (@p538) :args (@t48)) % 0.52/0.71 (step @p540 :rule eq_resolve :premises (@p48 @p539)) % 0.52/0.71 (step @p541 :rule eq-symm :args (@t415 @t392)) % 0.52/0.71 (step @p542 :rule refl :args (@t416)) % 0.52/0.71 (step @p543 :rule cong :premises (@p542 @p541) :args ((=> @t416 @t417))) % 0.52/0.71 (assume-push @p578 @t416) % 0.52/0.71 (step @p545 :rule instantiate :premises (@p540) :args ((@list @t366 @t390 @t391))) % 0.52/0.71 (step-pop @p579 :rule scope :premises (@p545)) % 0.52/0.71 (step @p546 :rule process_scope :premises (@p579) :args (@t417)) % 0.52/0.71 (step @p548 :rule eq_resolve :premises (@p546 @p543)) % 0.52/0.71 (step @p549 :rule implies_elim :premises (@p548)) % 0.52/0.71 (step @p550 :rule chain_m_resolution :premises (@p549 @p540) :args (@t418 @t386 (@list @t416))) % 0.52/0.71 (step @p551 :rule bool-double-not-elim :args (@t392)) % 0.52/0.71 (step @p552 :rule nary_cong :premises (@p472 @p551) :args ((or @t405 (not @t393)))) % 0.52/0.71 (step @p553 :rule cnf_or_neg :args (@t405 16)) % 0.52/0.71 (step @p554 :rule eq_resolve :premises (@p553 @p552)) % 0.52/0.71 (step @p555 :rule reordering :premises (@p554) :args ((or @t392 @t405))) % 0.52/0.71 (step @p556 :rule chain_m_resolution :premises (@p555 @p470) :args (@t392 @t406 @t407)) % 0.52/0.71 (step @p557 :rule cnf_equiv_pos1 :args (@t418)) % 0.52/0.71 (step @p558 :rule reordering :premises (@p557) :args ((or @t393 @t415 (not @t418)))) % 0.52/0.71 (step @p559 :rule chain_m_resolution :premises (@p558 @p556 @p550) :args (@t415 @t419 (@list @t392 @t418))) % 0.52/0.71 (step @p560 :rule instantiate :premises (@p19) :args ((@list @t365 @t362))) % 0.52/0.71 (step @p561 :rule cnf_or_pos :args (@t415)) % 0.52/0.71 (step @p562 :rule reordering :premises (@p561) :args ((or @t414 @t409 (not @t415)))) % 0.52/0.71 (step @p563 :rule chain_m_resolution :premises (@p562 @p560 @p559) :args (@t409 (@list true false) (@list @t414 @t415))) % 0.52/0.71 (step @p564 :rule cnf_or_neg :args (@t412 1)) % 0.52/0.71 (step @p565 :rule reordering :premises (@p564) :args ((or (not @t409) @t412))) % 0.52/0.71 (step @p566 :rule chain_m_resolution :premises (@p565 @p563) :args (@t412 @t386 (@list @t409))) % 0.52/0.71 (step @p567 :rule cnf_equiv_pos2 :args (@t413)) % 0.52/0.71 (step @p568 :rule reordering :premises (@p567) :args ((or @t408 (not @t412) (not @t413)))) % 0.52/0.71 (step @p569 :rule chain_m_resolution :premises (@p568 @p566 @p537) :args (@t408 @t419 (@list @t412 @t413))) % 0.52/0.71 (step @p570 :rule true_intro :premises (@p569)) % 0.52/0.71 (step @p571 :rule symm :premises (@p570)) % 0.52/0.71 (step @p572 :rule trans :premises (@p571 @p523 @p514)) % 0.52/0.71 (step @p573 false :rule eq_resolve :premises (@p572 @p69)) % 0.52/0.71 ) % 0.52/0.71 % SZS output end Proof % 0.52/0.71 % cvc5 exiting %------------------------------------------------------------------------------