%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV448+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 09:01:34 AM UTC 2026 % Result : Theorem 0.52s 0.70s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV448+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 % 0.15/0.34 % Computer : n025.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 20:19:16 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.70 % SZS status Theorem % 0.52/0.70 % SZS output start Proof % 0.52/0.70 ( % 0.52/0.70 (declare-sort $$unsorted 0) % 0.52/0.70 (declare-const tptp.pendack $$unsorted) % 0.52/0.70 (declare-const tptp.elid $$unsorted) % 0.52/0.70 (declare-const tptp.down $$unsorted) % 0.52/0.70 (declare-const tptp.index (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.ordered (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.pidMsg (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.elec_1 $$unsorted) % 0.52/0.70 (declare-const tptp.zero $$unsorted) % 0.52/0.70 (declare-const tptp.elem (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.m_Ack (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.setEmpty $$unsorted) % 0.52/0.70 (declare-const tptp.elec_2 $$unsorted) % 0.52/0.70 (declare-const tptp.queue (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.nbr_proc $$unsorted) % 0.52/0.70 (declare-const tptp.status $$unsorted) % 0.52/0.70 (declare-const tptp.setIn (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.wait $$unsorted) % 0.52/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.ldr $$unsorted) % 0.52/0.70 (declare-const tptp.norm $$unsorted) % 0.52/0.70 (declare-const tptp.m_Ldr (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.host (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.pids $$unsorted) % 0.52/0.70 (declare-const tptp.pidElem (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.m_Down (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.last (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.m_NotNorm (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.m_Halt (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.alive $$unsorted) % 0.52/0.70 (declare-const tptp.nil $$unsorted) % 0.52/0.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.snoc (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.init (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.m_NormQ (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.q_nil $$unsorted) % 0.52/0.70 (define @t1 () (@var "Pid2" $$unsorted)) % 0.52/0.70 (define @t2 () (@var "Pid" $$unsorted)) % 0.52/0.70 (define @t3 () (tptp.host @t2)) % 0.52/0.70 (define @t4 () (@list @t2 @t1)) % 0.52/0.70 (define @t5 () (@var "Q" $$unsorted)) % 0.52/0.70 (define @t6 () (tptp.host @t5)) % 0.52/0.70 (define @t7 () (@var "P" $$unsorted)) % 0.52/0.70 (define @t8 () (tptp.host @t7)) % 0.52/0.70 (define @t9 () (tptp.s tptp.zero)) % 0.52/0.70 (define @t10 () (@list @t7)) % 0.52/0.70 (define @t11 () (@var "Z" $$unsorted)) % 0.52/0.70 (define @t12 () (@var "Y" $$unsorted)) % 0.52/0.70 (define @t13 () (@var "X" $$unsorted)) % 0.52/0.70 (define @t14 () (tptp.m_Ack @t13 @t12)) % 0.52/0.70 (define @t15 () (@list @t13 @t12 @t11)) % 0.52/0.70 (define @t16 () (tptp.m_Halt @t12)) % 0.52/0.70 (define @t17 () (tptp.m_NotNorm @t13)) % 0.52/0.70 (define @t18 () (@list @t13 @t12)) % 0.52/0.70 (define @t19 () (tptp.m_Down @t13)) % 0.52/0.70 (define @t20 () (tptp.m_Ldr @t12)) % 0.52/0.70 (define @t21 () (tptp.m_NotNorm @t12)) % 0.52/0.70 (define @t22 () (tptp.m_NormQ @t12)) % 0.52/0.70 (define @t23 () (tptp.m_NormQ @t13)) % 0.52/0.70 (define @t24 () (tptp.m_Ldr @t13)) % 0.52/0.70 (define @t25 () (tptp.m_Halt @t13)) % 0.52/0.70 (define @t26 () (= @t13 @t12)) % 0.52/0.70 (define @t27 () (not @t26)) % 0.52/0.70 (define @t28 () (tptp.m_Down @t12)) % 0.52/0.70 (define @t29 () (@var "Y2" $$unsorted)) % 0.52/0.70 (define @t30 () (@var "X2" $$unsorted)) % 0.52/0.70 (define @t31 () (@var "Y1" $$unsorted)) % 0.52/0.70 (define @t32 () (@var "X1" $$unsorted)) % 0.52/0.70 (define @t33 () (not (= (tptp.m_Ack @t32 @t31) (tptp.m_Ack @t30 @t29)))) % 0.52/0.70 (define @t34 () (@list @t32 @t30 @t31 @t29)) % 0.52/0.70 (define @t35 () (tptp.cons @t13 @t5)) % 0.52/0.70 (define @t36 () (@list @t13 @t5)) % 0.52/0.70 (define @t37 () (tptp.snoc @t5 @t12)) % 0.52/0.70 (define @t38 () (@list @t12 @t5)) % 0.52/0.70 (define @t39 () (= @t5 tptp.q_nil)) % 0.52/0.70 (define @t40 () (@list @t5)) % 0.52/0.70 (define @t41 () (tptp.snoc tptp.q_nil @t13)) % 0.52/0.70 (define @t42 () (tptp.cons @t13 tptp.q_nil)) % 0.52/0.70 (define @t43 () (@list @t13)) % 0.52/0.70 (define @t44 () (@list @t13 @t12 @t5)) % 0.52/0.70 (define @t45 () (or @t26 (tptp.elem @t13 @t5))) % 0.52/0.70 (define @t46 () (forall @t44 (= (tptp.elem @t13 (tptp.cons @t12 @t5)) @t45))) % 0.52/0.70 (define @t47 () (@list @t12)) % 0.52/0.70 (define @t48 () (tptp.pidElem @t13)) % 0.52/0.70 (define @t49 () (tptp.pidMsg @t12)) % 0.52/0.70 (define @t50 () (tptp.pidMsg @t13)) % 0.52/0.70 (define @t51 () (and (tptp.elem @t12 @t5) @t48 (tptp.pidElem @t12) (= (tptp.host @t49) (tptp.host @t50)))) % 0.52/0.70 (define @t52 () (tptp.ordered @t5)) % 0.52/0.70 (define @t53 () (@list @t5 @t13 @t12)) % 0.52/0.70 (define @t54 () (tptp.leq @t13 @t12)) % 0.52/0.70 (define @t55 () (tptp.host @t12)) % 0.52/0.70 (define @t56 () (tptp.host @t13)) % 0.52/0.70 (define @t57 () (tptp.s @t13)) % 0.52/0.70 (define @t58 () (tptp.leq @t12 @t13)) % 0.52/0.70 (define @t59 () (and @t54 @t58)) % 0.52/0.70 (define @t60 () (forall @t18 (= @t59 @t26))) % 0.52/0.70 (define @t61 () (tptp.s @t12)) % 0.52/0.70 (define @t62 () (@var "V0" $$unsorted)) % 0.52/0.70 (define @t63 () (@var "W0" $$unsorted)) % 0.52/0.70 (define @t64 () (tptp.host @t63)) % 0.52/0.70 (define @t65 () (tptp.index tptp.status @t64)) % 0.52/0.70 (define @t66 () (tptp.index tptp.ldr @t64)) % 0.52/0.70 (define @t67 () (= @t56 (tptp.host @t62))) % 0.52/0.70 (define @t68 () (tptp.setIn @t63 tptp.alive)) % 0.52/0.70 (define @t69 () (tptp.setIn @t62 tptp.alive)) % 0.52/0.70 (define @t70 () (and @t69 @t68 @t67 (= @t66 @t64) (= @t65 tptp.norm))) % 0.52/0.70 (define @t71 () (=> @t70 (= @t63 @t62))) % 0.52/0.70 (define @t72 () (= @t56 @t64)) % 0.52/0.70 (define @t73 () (not @t72)) % 0.52/0.70 (define @t74 () (=> @t73 @t71)) % 0.52/0.70 (define @t75 () (@list @t63)) % 0.52/0.70 (define @t76 () (forall @t75 @t74)) % 0.52/0.70 (define @t77 () (=> @t67 @t76)) % 0.52/0.70 (define @t78 () (@list @t62)) % 0.52/0.70 (define @t79 () (forall @t78 @t77)) % 0.52/0.70 (define @t80 () (tptp.host @t11)) % 0.52/0.70 (define @t81 () (tptp.setIn @t80 tptp.setEmpty)) % 0.52/0.70 (define @t82 () (not @t81)) % 0.52/0.70 (define @t83 () (=> @t82 @t79)) % 0.52/0.70 (define @t84 () (@list @t11)) % 0.52/0.70 (define @t85 () (forall @t84 @t83)) % 0.52/0.70 (define @t86 () (tptp.leq tptp.nbr_proc @t56)) % 0.52/0.70 (define @t87 () (=> @t86 @t85)) % 0.52/0.70 (define @t88 () (tptp.index tptp.status @t56)) % 0.52/0.70 (define @t89 () (= @t11 @t55)) % 0.52/0.70 (define @t90 () (tptp.setIn @t11 (tptp.index tptp.down @t56))) % 0.52/0.70 (define @t91 () (or @t90 @t89)) % 0.52/0.70 (define @t92 () (tptp.leq @t9 @t11)) % 0.52/0.70 (define @t93 () (tptp.leq @t56 @t11)) % 0.52/0.70 (define @t94 () (not @t93)) % 0.52/0.70 (define @t95 () (and @t94 @t92)) % 0.52/0.70 (define @t96 () (forall @t84 (=> @t95 @t91))) % 0.52/0.70 (define @t97 () (and @t96 (= @t88 tptp.elec_1))) % 0.52/0.70 (define @t98 () (=> @t97 @t87)) % 0.52/0.70 (define @t99 () (= @t55 (tptp.host (tptp.index tptp.elid @t56)))) % 0.52/0.70 (define @t100 () (and (= @t88 tptp.wait) @t99)) % 0.52/0.70 (define @t101 () (tptp.index tptp.ldr @t56)) % 0.52/0.70 (define @t102 () (and (= @t101 @t55) (= @t88 tptp.norm))) % 0.52/0.70 (define @t103 () (or @t102 @t100)) % 0.52/0.70 (define @t104 () (not @t103)) % 0.52/0.70 (define @t105 () (=> @t104 @t98)) % 0.52/0.70 (define @t106 () (tptp.leq @t56 @t55)) % 0.52/0.70 (define @t107 () (not @t106)) % 0.52/0.70 (define @t108 () (=> @t107 @t105)) % 0.52/0.70 (define @t109 () (tptp.setIn @t13 tptp.alive)) % 0.52/0.70 (define @t110 () (=> @t109 @t108)) % 0.52/0.70 (define @t111 () (@var "V" $$unsorted)) % 0.52/0.70 (define @t112 () (= (tptp.queue @t56) (tptp.cons @t28 @t111))) % 0.52/0.70 (define @t113 () (tptp.index tptp.status @t80)) % 0.52/0.70 (define @t114 () (= @t113 tptp.norm)) % 0.52/0.70 (define @t115 () (tptp.index tptp.ldr @t80)) % 0.52/0.70 (define @t116 () (= @t115 @t80)) % 0.52/0.70 (define @t117 () (tptp.setIn @t11 tptp.alive)) % 0.52/0.70 (define @t118 () (and @t117 @t116 @t114)) % 0.52/0.70 (define @t119 () (not @t118)) % 0.52/0.70 (define @t120 () (@var "Pid0" $$unsorted)) % 0.52/0.70 (define @t121 () (tptp.host @t120)) % 0.52/0.70 (define @t122 () (tptp.index tptp.status @t121)) % 0.52/0.70 (define @t123 () (tptp.queue @t121)) % 0.52/0.70 (define @t124 () (@var "Pid20" $$unsorted)) % 0.52/0.70 (define @t125 () (tptp.elem (tptp.m_Down @t124) @t123)) % 0.52/0.70 (define @t126 () (tptp.leq @t121 @t80)) % 0.52/0.70 (define @t127 () (not @t126)) % 0.52/0.70 (define @t128 () (tptp.host @t124)) % 0.52/0.70 (define @t129 () (tptp.setIn @t62 (tptp.index tptp.down @t121))) % 0.52/0.70 (define @t130 () (or @t129 (= @t62 @t128))) % 0.52/0.70 (define @t131 () (tptp.leq @t9 @t62)) % 0.52/0.70 (define @t132 () (tptp.leq @t121 @t62)) % 0.52/0.70 (define @t133 () (not @t132)) % 0.52/0.70 (define @t134 () (and @t133 @t131)) % 0.52/0.70 (define @t135 () (=> @t134 @t130)) % 0.52/0.70 (define @t136 () (forall @t78 @t135)) % 0.52/0.70 (define @t137 () (and @t136 @t127 @t125 (= @t122 tptp.elec_1))) % 0.52/0.70 (define @t138 () (=> @t137 @t119)) % 0.52/0.70 (define @t139 () (@list @t11 @t124 @t120)) % 0.52/0.70 (define @t140 () (forall @t139 @t138)) % 0.52/0.70 (define @t141 () (tptp.index tptp.pendack @t121)) % 0.52/0.70 (define @t142 () (= @t128 @t141)) % 0.52/0.70 (define @t143 () (= @t122 tptp.elec_2)) % 0.52/0.70 (define @t144 () (tptp.leq tptp.nbr_proc @t141)) % 0.52/0.70 (define @t145 () (tptp.elem (tptp.m_Ack @t120 @t124) @t123)) % 0.52/0.70 (define @t146 () (tptp.setIn @t120 tptp.alive)) % 0.52/0.70 (define @t147 () (and @t146 @t145 @t144 @t143 @t142)) % 0.52/0.70 (define @t148 () (=> @t147 @t119)) % 0.52/0.70 (define @t149 () (forall @t139 @t148)) % 0.52/0.70 (define @t150 () (and @t146 @t125 @t144 @t143 @t142)) % 0.52/0.70 (define @t151 () (=> @t150 @t119)) % 0.52/0.70 (define @t152 () (forall @t139 @t151)) % 0.52/0.70 (define @t153 () (= @t120 @t11)) % 0.52/0.70 (define @t154 () (tptp.index tptp.ldr @t121)) % 0.52/0.70 (define @t155 () (and @t117 @t146 @t116 @t114 (= @t122 tptp.norm) (= @t154 @t121))) % 0.52/0.70 (define @t156 () (=> @t155 @t153)) % 0.52/0.70 (define @t157 () (@list @t11 @t120)) % 0.52/0.70 (define @t158 () (forall @t157 @t156)) % 0.52/0.70 (define @t159 () (tptp.index tptp.elid @t80)) % 0.52/0.70 (define @t160 () (or (= @t113 tptp.elec_1) (= @t113 tptp.elec_2))) % 0.52/0.70 (define @t161 () (and @t160 @t117)) % 0.52/0.70 (define @t162 () (=> @t161 (= @t159 @t11))) % 0.52/0.70 (define @t163 () (forall @t84 @t162)) % 0.52/0.70 (define @t164 () (not @t146)) % 0.52/0.70 (define @t165 () (not @t117)) % 0.52/0.70 (define @t166 () (or @t165 @t164)) % 0.52/0.70 (define @t167 () (not @t153)) % 0.52/0.70 (define @t168 () (and @t167 (= @t121 @t80))) % 0.52/0.70 (define @t169 () (=> @t168 @t166)) % 0.52/0.70 (define @t170 () (forall @t157 @t169)) % 0.52/0.70 (define @t171 () (not (tptp.leq @t80 @t121))) % 0.52/0.70 (define @t172 () (tptp.elem (tptp.m_Ldr @t120) (tptp.queue @t80))) % 0.52/0.70 (define @t173 () (forall @t157 (=> @t172 @t171))) % 0.52/0.70 (define @t174 () (and @t173 @t170 @t163 @t158 @t152 @t149 @t140 @t112)) % 0.52/0.70 (define @t175 () (=> @t174 @t110)) % 0.52/0.70 (define @t176 () (@list @t111 (@var "W" $$unsorted) @t13 @t12)) % 0.52/0.70 (define @t177 () (forall @t176 @t175)) % 0.52/0.70 (define @t178 () (not @t177)) % 0.52/0.70 (define @t179 () (@var "BOUND_VARIABLE_8298" $$unsorted)) % 0.52/0.70 (define @t180 () (@var "BOUND_VARIABLE_8296" $$unsorted)) % 0.52/0.70 (define @t181 () (= @t180 @t179)) % 0.52/0.70 (define @t182 () (tptp.host @t179)) % 0.52/0.70 (define @t183 () (not (= tptp.norm (tptp.index tptp.status @t182)))) % 0.52/0.70 (define @t184 () (not (= @t182 (tptp.index tptp.ldr @t182)))) % 0.52/0.70 (define @t185 () (not (tptp.setIn @t179 tptp.alive))) % 0.52/0.70 (define @t186 () (= @t56 @t182)) % 0.52/0.70 (define @t187 () (not (tptp.setIn @t180 tptp.alive))) % 0.52/0.70 (define @t188 () (not (= @t56 (tptp.host @t180)))) % 0.52/0.70 (define @t189 () (not @t86)) % 0.52/0.70 (define @t190 () (= tptp.elec_1 @t88)) % 0.52/0.70 (define @t191 () (not @t190)) % 0.52/0.70 (define @t192 () (not @t92)) % 0.52/0.70 (define @t193 () (or @t93 @t192 @t90 @t89)) % 0.52/0.70 (define @t194 () (forall @t84 @t193)) % 0.52/0.70 (define @t195 () (not @t194)) % 0.52/0.70 (define @t196 () (and (= tptp.wait @t88) @t99)) % 0.52/0.70 (define @t197 () (and (= @t55 @t101) (= tptp.norm @t88))) % 0.52/0.70 (define @t198 () (not @t109)) % 0.52/0.70 (define @t199 () (not @t112)) % 0.52/0.70 (define @t200 () (or @t199 @t198 @t106 @t197 @t196 @t195 @t191 @t189 @t188 @t187 @t186 @t185 @t184 @t183 @t181)) % 0.52/0.70 (define @t201 () (@list @t111 @t13 @t12 @t180 @t179)) % 0.52/0.70 (define @t202 () (forall @t201 @t200)) % 0.52/0.70 (define @t203 () (@quantifiers_skolemize @t202 0)) % 0.52/0.70 (define @t204 () (@quantifiers_skolemize @t202 2)) % 0.52/0.70 (define @t205 () (tptp.m_Down @t204)) % 0.52/0.70 (define @t206 () (tptp.cons @t205 @t203)) % 0.52/0.70 (define @t207 () (tptp.elem @t205 @t206)) % 0.52/0.70 (define @t208 () (tptp.elem @t205 @t203)) % 0.52/0.70 (define @t209 () (or (= @t205 @t205) @t208)) % 0.52/0.70 (define @t210 () (= @t207 @t209)) % 0.52/0.70 (define @t211 () (@list false)) % 0.52/0.70 (define @t212 () (or @t188 @t187 @t186 @t185 @t184 @t183 @t181)) % 0.52/0.70 (define @t213 () (or @t199 @t198 @t106 @t197 @t196 @t195 @t191 @t189 @t212)) % 0.52/0.70 (define @t214 () (forall @t201 @t213)) % 0.52/0.70 (define @t215 () (@list @t180 @t179)) % 0.52/0.70 (define @t216 () (forall @t215 @t213)) % 0.52/0.70 (define @t217 () (@list @t111 @t13 @t12)) % 0.52/0.70 (define @t218 () (forall @t215 @t212)) % 0.52/0.70 (define @t219 () (@var "BOUND_VARIABLE_8232" $$unsorted)) % 0.52/0.70 (define @t220 () (or @t199 @t198 @t106 @t197 @t196 @t195 @t191 @t189 @t218)) % 0.52/0.70 (define @t221 () (= @t62 @t219)) % 0.52/0.70 (define @t222 () (tptp.host @t219)) % 0.52/0.70 (define @t223 () (not (= tptp.norm (tptp.index tptp.status @t222)))) % 0.52/0.70 (define @t224 () (not (= @t222 (tptp.index tptp.ldr @t222)))) % 0.52/0.70 (define @t225 () (not (tptp.setIn @t219 tptp.alive))) % 0.52/0.70 (define @t226 () (= @t56 @t222)) % 0.52/0.70 (define @t227 () (not @t69)) % 0.52/0.70 (define @t228 () (not @t67)) % 0.52/0.70 (define @t229 () (or @t228 @t227 @t226 @t225 @t224 @t223 @t221)) % 0.52/0.70 (define @t230 () (@list @t62 @t219)) % 0.52/0.70 (define @t231 () (forall @t230 @t229)) % 0.52/0.70 (define @t232 () (or @t199 @t198 @t106 @t197 @t196 @t195 @t191 @t189 @t231)) % 0.52/0.70 (define @t233 () (forall @t217 @t232)) % 0.52/0.70 (define @t234 () (forall @t84 @t81)) % 0.52/0.70 (define @t235 () (= tptp.norm @t113)) % 0.52/0.70 (define @t236 () (not @t235)) % 0.52/0.70 (define @t237 () (= @t80 @t115)) % 0.52/0.70 (define @t238 () (not @t237)) % 0.52/0.70 (define @t239 () (= tptp.elec_1 @t122)) % 0.52/0.70 (define @t240 () (not @t239)) % 0.52/0.70 (define @t241 () (not @t125)) % 0.52/0.70 (define @t242 () (= @t128 @t62)) % 0.52/0.70 (define @t243 () (not @t131)) % 0.52/0.70 (define @t244 () (or @t132 @t243 @t129 @t242)) % 0.52/0.70 (define @t245 () (forall @t78 @t244)) % 0.52/0.70 (define @t246 () (not @t245)) % 0.52/0.70 (define @t247 () (or @t246 @t126 @t241 @t240 @t165 @t238 @t236)) % 0.52/0.70 (define @t248 () (forall @t139 @t247)) % 0.52/0.70 (define @t249 () (not @t248)) % 0.52/0.70 (define @t250 () (or @t165 @t238 @t236)) % 0.52/0.70 (define @t251 () (forall @t84 @t250)) % 0.52/0.70 (define @t252 () (not @t251)) % 0.52/0.70 (define @t253 () (= @t141 @t128)) % 0.52/0.70 (define @t254 () (not @t253)) % 0.52/0.70 (define @t255 () (= tptp.elec_2 @t122)) % 0.52/0.70 (define @t256 () (not @t255)) % 0.52/0.70 (define @t257 () (not @t144)) % 0.52/0.70 (define @t258 () (not @t145)) % 0.52/0.70 (define @t259 () (or @t164 @t258 @t257 @t256 @t254)) % 0.52/0.70 (define @t260 () (@list @t124 @t120)) % 0.52/0.70 (define @t261 () (forall @t260 @t259)) % 0.52/0.70 (define @t262 () (and (not @t261) @t252)) % 0.52/0.70 (define @t263 () (or @t164 @t241 @t257 @t256 @t254)) % 0.52/0.70 (define @t264 () (forall @t260 @t263)) % 0.52/0.70 (define @t265 () (and (not @t264) @t252)) % 0.52/0.70 (define @t266 () (= @t11 @t120)) % 0.52/0.70 (define @t267 () (= @t121 @t154)) % 0.52/0.70 (define @t268 () (not @t267)) % 0.52/0.70 (define @t269 () (= tptp.norm @t122)) % 0.52/0.70 (define @t270 () (not @t269)) % 0.52/0.70 (define @t271 () (or @t165 @t164 @t238 @t236 @t270 @t268 @t266)) % 0.52/0.70 (define @t272 () (forall @t157 @t271)) % 0.52/0.70 (define @t273 () (not @t272)) % 0.52/0.70 (define @t274 () (= @t11 @t159)) % 0.52/0.70 (define @t275 () (= tptp.elec_2 @t113)) % 0.52/0.70 (define @t276 () (= tptp.elec_1 @t113)) % 0.52/0.70 (define @t277 () (and (not @t276) (not @t275))) % 0.52/0.70 (define @t278 () (or @t277 @t165 @t274)) % 0.52/0.70 (define @t279 () (forall @t84 @t278)) % 0.52/0.70 (define @t280 () (not @t279)) % 0.52/0.70 (define @t281 () (= @t80 @t121)) % 0.52/0.70 (define @t282 () (not @t281)) % 0.52/0.70 (define @t283 () (or @t266 @t282 @t165 @t164)) % 0.52/0.70 (define @t284 () (forall @t157 @t283)) % 0.52/0.70 (define @t285 () (not @t284)) % 0.52/0.70 (define @t286 () (forall @t157 (or (not @t172) @t171))) % 0.52/0.70 (define @t287 () (not @t286)) % 0.52/0.70 (define @t288 () (or @t287 @t285 @t280 @t273 @t265 @t262 @t249 @t234 @t233)) % 0.52/0.70 (define @t289 () (or @t287 @t285 @t280 @t273 @t265 @t262 @t249 @t234 @t232)) % 0.52/0.70 (define @t290 () (or @t287 @t285 @t280 @t273 @t265 @t262 @t249 @t199 @t198 @t106 @t197 @t196 @t195 @t191 @t189 @t231 @t234)) % 0.52/0.70 (define @t291 () (forall @t217 @t290)) % 0.52/0.70 (define @t292 () (or @t198 @t106 @t197 @t196 @t195 @t191 @t189 @t231 @t234)) % 0.52/0.70 (define @t293 () (or @t106 @t197 @t196 @t195 @t191 @t189 @t231 @t234)) % 0.52/0.70 (define @t294 () (or @t197 @t196 @t195 @t191 @t189 @t231 @t234)) % 0.52/0.70 (define @t295 () (or @t195 @t191 @t189 @t231 @t234)) % 0.52/0.70 (define @t296 () (or @t197 @t196)) % 0.52/0.70 (define @t297 () (or @t189 @t231 @t234)) % 0.52/0.70 (define @t298 () (or @t231 @t234)) % 0.52/0.70 (define @t299 () (=> @t86 @t298)) % 0.52/0.70 (define @t300 () (and @t194 @t190)) % 0.52/0.70 (define @t301 () (=> @t300 @t299)) % 0.52/0.70 (define @t302 () (not @t296)) % 0.52/0.70 (define @t303 () (=> @t302 @t301)) % 0.52/0.70 (define @t304 () (=> @t107 @t303)) % 0.52/0.70 (define @t305 () (or @t261 @t251)) % 0.52/0.70 (define @t306 () (not @t305)) % 0.52/0.70 (define @t307 () (or @t264 @t251)) % 0.52/0.70 (define @t308 () (not @t307)) % 0.52/0.70 (define @t309 () (or @t287 @t285 @t280 @t273 @t308 @t306 @t249 @t199)) % 0.52/0.70 (define @t310 () (=> @t109 @t304)) % 0.52/0.70 (define @t311 () (and @t286 @t284 @t279 @t272 @t307 @t305 @t248 @t112)) % 0.52/0.70 (define @t312 () (or @t231 @t81)) % 0.52/0.70 (define @t313 () (or @t81 @t231)) % 0.52/0.70 (define @t314 () (or @t226 @t225 @t224 @t223 @t221)) % 0.52/0.70 (define @t315 () (or @t228 @t227 @t314)) % 0.52/0.70 (define @t316 () (forall @t230 @t315)) % 0.52/0.70 (define @t317 () (@list @t219)) % 0.52/0.70 (define @t318 () (forall @t317 @t315)) % 0.52/0.70 (define @t319 () (forall @t317 @t314)) % 0.52/0.70 (define @t320 () (or @t228 @t227 @t319)) % 0.52/0.70 (define @t321 () (= @t62 @t63)) % 0.52/0.70 (define @t322 () (= tptp.norm @t65)) % 0.52/0.70 (define @t323 () (not @t322)) % 0.52/0.70 (define @t324 () (= @t64 @t66)) % 0.52/0.70 (define @t325 () (not @t324)) % 0.52/0.70 (define @t326 () (not @t68)) % 0.52/0.70 (define @t327 () (or @t72 @t326 @t325 @t323 @t321)) % 0.52/0.70 (define @t328 () (forall @t75 @t327)) % 0.52/0.70 (define @t329 () (or @t228 @t227 @t328)) % 0.52/0.70 (define @t330 () (or @t227 @t228 @t328)) % 0.52/0.70 (define @t331 () (or @t227 @t228 @t327)) % 0.52/0.70 (define @t332 () (or @t72 @t227 @t326 @t228 @t325 @t323 @t321)) % 0.52/0.70 (define @t333 () (or @t227 @t326 @t228 @t325 @t323 @t321)) % 0.52/0.70 (define @t334 () (or @t227 @t326 @t228 @t325 @t323)) % 0.52/0.70 (define @t335 () (and @t69 @t68 @t67 @t324 @t322)) % 0.52/0.70 (define @t336 () (=> @t335 @t321)) % 0.52/0.70 (define @t337 () (not @t127)) % 0.52/0.70 (define @t338 () (or @t246 @t337 @t241 @t240)) % 0.52/0.70 (define @t339 () (not (and @t117 @t237 @t235))) % 0.52/0.70 (define @t340 () (and @t245 @t127 @t125 @t239)) % 0.52/0.70 (define @t341 () (or @t129 @t242)) % 0.52/0.70 (define @t342 () (or @t259 @t250)) % 0.52/0.70 (define @t343 () (@list @t124 @t120 @t11)) % 0.52/0.70 (define @t344 () (or @t164 @t258 @t257 @t256 @t254 @t165 @t238 @t236)) % 0.52/0.70 (define @t345 () (forall @t343 @t344)) % 0.52/0.70 (define @t346 () (or @t257 (or @t256 @t254))) % 0.52/0.70 (define @t347 () (not (and @t144 @t255 @t253))) % 0.52/0.70 (define @t348 () (and @t146 @t145 @t144 @t255 @t253)) % 0.52/0.70 (define @t349 () (or @t263 @t250)) % 0.52/0.70 (define @t350 () (or @t164 @t241 @t257 @t256 @t254 @t165 @t238 @t236)) % 0.52/0.70 (define @t351 () (forall @t343 @t350)) % 0.52/0.70 (define @t352 () (and @t146 @t125 @t144 @t255 @t253)) % 0.52/0.70 (define @t353 () (or @t165 @t164 @t238 @t236 @t270 @t268)) % 0.52/0.70 (define @t354 () (and @t117 @t146 @t237 @t235 @t269 @t267)) % 0.52/0.70 (define @t355 () (or @t276 @t275)) % 0.52/0.70 (define @t356 () (and @t355 @t117)) % 0.52/0.70 (define @t357 () (not @t266)) % 0.52/0.70 (define @t358 () (and @t357 @t281)) % 0.52/0.70 (define @t359 () (@quantifiers_skolemize @t202 1)) % 0.52/0.70 (define @t360 () (tptp.host @t359)) % 0.52/0.70 (define @t361 () (tptp.queue @t360)) % 0.52/0.70 (define @t362 () (= @t361 @t206)) % 0.52/0.70 (define @t363 () (@quantifiers_skolemize @t202 4)) % 0.52/0.70 (define @t364 () (@quantifiers_skolemize @t202 3)) % 0.52/0.70 (define @t365 () (tptp.host @t363)) % 0.52/0.70 (define @t366 () (= tptp.norm (tptp.index tptp.status @t365))) % 0.52/0.70 (define @t367 () (not @t366)) % 0.52/0.70 (define @t368 () (= @t365 (tptp.index tptp.ldr @t365))) % 0.52/0.70 (define @t369 () (not @t368)) % 0.52/0.70 (define @t370 () (tptp.setIn @t363 tptp.alive)) % 0.52/0.70 (define @t371 () (not @t370)) % 0.52/0.70 (define @t372 () (= @t360 @t365)) % 0.52/0.70 (define @t373 () (tptp.leq tptp.nbr_proc @t360)) % 0.52/0.70 (define @t374 () (not @t373)) % 0.52/0.70 (define @t375 () (tptp.index tptp.status @t360)) % 0.52/0.70 (define @t376 () (= tptp.elec_1 @t375)) % 0.52/0.70 (define @t377 () (not @t376)) % 0.52/0.70 (define @t378 () (tptp.host @t204)) % 0.52/0.70 (define @t379 () (tptp.index tptp.down @t360)) % 0.52/0.70 (define @t380 () (forall @t84 (or (tptp.leq @t360 @t11) @t192 (tptp.setIn @t11 @t379) (= @t11 @t378)))) % 0.52/0.70 (define @t381 () (not @t380)) % 0.52/0.70 (define @t382 () (not @t362)) % 0.52/0.70 (define @t383 () (or @t382 (not (tptp.setIn @t359 tptp.alive)) (tptp.leq @t360 @t378) (and (= @t378 (tptp.index tptp.ldr @t360)) (= tptp.norm @t375)) (and (= tptp.wait @t375) (= @t378 (tptp.host (tptp.index tptp.elid @t360)))) @t381 @t377 @t374 (not (= @t360 (tptp.host @t364))) (not (tptp.setIn @t364 tptp.alive)) @t372 @t371 @t369 @t367 (= @t364 @t363))) % 0.52/0.70 (define @t384 () (@list true)) % 0.52/0.70 (define @t385 () (@list @t383)) % 0.52/0.70 (define @t386 () (tptp.elem @t205 @t361)) % 0.52/0.70 (define @t387 () (not @t386)) % 0.52/0.70 (define @t388 () (tptp.leq @t360 @t365)) % 0.52/0.70 (define @t389 () (tptp.setIn @t62 @t379)) % 0.52/0.70 (define @t390 () (tptp.leq @t360 @t62)) % 0.52/0.70 (define @t391 () (or @t390 @t243 @t389 (= @t378 @t62))) % 0.52/0.70 (define @t392 () (forall @t78 @t391)) % 0.52/0.70 (define @t393 () (not @t392)) % 0.52/0.70 (define @t394 () (or @t393 @t388 @t387 @t377 @t371 @t369 @t367)) % 0.52/0.70 (define @t395 () (forall @t78 (or @t390 @t243 @t389 (= @t62 @t378)))) % 0.52/0.70 (define @t396 () (not @t395)) % 0.52/0.70 (define @t397 () (or @t396 @t388 @t387 @t377 @t371 @t369 @t367)) % 0.52/0.70 (define @t398 () (= tptp.nbr_proc @t365)) % 0.52/0.70 (define @t399 () (tptp.leq tptp.nbr_proc @t365)) % 0.52/0.70 (define @t400 () (tptp.leq @t365 tptp.nbr_proc)) % 0.52/0.70 (define @t401 () (and @t400 @t399)) % 0.52/0.70 (define @t402 () (= (= @t365 tptp.nbr_proc) @t401)) % 0.52/0.70 (define @t403 () (forall @t18 (= @t26 @t59))) % 0.52/0.70 (define @t404 () (= @t401 @t398)) % 0.52/0.70 (define @t405 () (tptp.leq @t360 tptp.nbr_proc)) % 0.52/0.70 (define @t406 () (and @t373 @t405)) % 0.52/0.70 (define @t407 () (@list false false)) % 0.52/0.70 (define @t408 () (= tptp.nbr_proc @t360)) % 0.52/0.70 (define @t409 () (= @t408 @t406)) % 0.52/0.70 (define @t410 () (not @t401)) % 0.52/0.70 (define @t411 () (not @t399)) % 0.52/0.70 (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))))) % 0.52/0.70 (assume @p2 (forall (@list @t7 @t5) (=> (= (tptp.s @t8) @t6) (not (= @t8 @t6))))) % 0.52/0.70 (assume @p3 (forall @t10 (tptp.leq @t9 @t8))) % 0.52/0.70 (assume @p4 (tptp.leq @t9 tptp.nbr_proc)) % 0.52/0.70 (assume @p5 (forall @t10 (tptp.leq @t8 tptp.nbr_proc))) % 0.52/0.70 (assume @p6 (not (= tptp.elec_1 tptp.elec_2))) % 0.52/0.70 (assume @p7 (not (= tptp.elec_1 tptp.wait))) % 0.52/0.70 (assume @p8 (not (= tptp.elec_1 tptp.norm))) % 0.52/0.70 (assume @p9 (not (= tptp.elec_2 tptp.wait))) % 0.52/0.70 (assume @p10 (not (= tptp.elec_2 tptp.norm))) % 0.52/0.70 (assume @p11 (not (= tptp.norm tptp.wait))) % 0.52/0.70 (assume @p12 (forall @t15 (not (= @t14 (tptp.m_Halt @t11))))) % 0.52/0.70 (assume @p13 (forall @t15 (not (= @t14 (tptp.m_Down @t11))))) % 0.52/0.70 (assume @p14 (forall @t15 (not (= @t14 (tptp.m_NotNorm @t11))))) % 0.52/0.70 (assume @p15 (forall @t15 (not (= @t14 (tptp.m_Ldr @t11))))) % 0.52/0.70 (assume @p16 (forall @t15 (not (= @t14 (tptp.m_NormQ @t11))))) % 0.52/0.70 (assume @p17 (forall @t18 (not (= @t17 @t16)))) % 0.52/0.70 (assume @p18 (forall @t18 (not (= @t19 @t16)))) % 0.52/0.70 (assume @p19 (forall @t18 (not (= @t19 @t20)))) % 0.52/0.70 (assume @p20 (forall @t18 (not (= @t19 @t21)))) % 0.52/0.70 (assume @p21 (forall @t18 (not (= @t19 @t22)))) % 0.52/0.70 (assume @p22 (forall @t18 (not (= @t23 @t16)))) % 0.52/0.70 (assume @p23 (forall @t18 (not (= @t24 @t16)))) % 0.52/0.70 (assume @p24 (forall @t18 (not (= @t24 @t22)))) % 0.52/0.70 (assume @p25 (forall @t18 (not (= @t24 @t21)))) % 0.52/0.70 (assume @p26 (forall @t18 (not (= @t23 @t21)))) % 0.52/0.70 (assume @p27 (forall @t18 (= @t27 (not (= @t25 @t16))))) % 0.52/0.70 (assume @p28 (forall @t18 (= @t27 (not (= @t23 @t22))))) % 0.52/0.70 (assume @p29 (forall @t18 (= @t27 (not (= @t17 @t21))))) % 0.52/0.70 (assume @p30 (forall @t18 (= @t27 (not (= @t24 @t20))))) % 0.52/0.70 (assume @p31 (forall @t18 (= @t27 (not (= @t19 @t28))))) % 0.52/0.70 (assume @p32 (forall @t34 (=> (not (= @t32 @t30)) @t33))) % 0.52/0.70 (assume @p33 (forall @t34 (=> (not (= @t31 @t29)) @t33))) % 0.52/0.70 (assume @p34 (forall @t4 (=> (not (= @t3 (tptp.host @t1))) (not (= @t2 @t1))))) % 0.52/0.70 (assume @p35 (not (tptp.setIn tptp.nil tptp.alive))) % 0.52/0.70 (assume @p36 (forall @t36 (= (tptp.head @t35) @t13))) % 0.52/0.70 (assume @p37 (forall @t36 (= (tptp.tail @t35) @t5))) % 0.52/0.70 (assume @p38 (forall @t38 (= (tptp.last @t37) @t12))) % 0.52/0.70 (assume @p39 (forall @t38 (= (tptp.init @t37) @t5))) % 0.52/0.70 (assume @p40 (forall @t40 (or @t39 (= @t5 (tptp.cons (tptp.head @t5) (tptp.tail @t5)))))) % 0.52/0.70 (assume @p41 (forall @t40 (or @t39 (= @t5 (tptp.snoc (tptp.init @t5) (tptp.last @t5)))))) % 0.52/0.70 (assume @p42 (forall @t36 (not (= tptp.q_nil @t35)))) % 0.52/0.70 (assume @p43 (forall @t38 (not (= tptp.q_nil @t37)))) % 0.52/0.70 (assume @p44 (forall @t43 (= @t42 @t41))) % 0.52/0.70 (assume @p45 (forall @t44 (= (tptp.snoc @t35 @t12) (tptp.cons @t13 @t37)))) % 0.52/0.70 (assume @p46 (forall @t43 (not (tptp.elem @t13 tptp.q_nil)))) % 0.52/0.70 (assume @p47 @t46) % 0.52/0.70 (assume @p48 (forall @t44 (= (tptp.elem @t13 @t37) @t45))) % 0.52/0.70 (assume @p49 (forall @t43 (= @t48 (exists @t47 (or (= @t13 @t16) (= @t13 @t28)))))) % 0.52/0.70 (assume @p50 (forall @t43 (= (tptp.pidMsg @t25) @t13))) % 0.52/0.70 (assume @p51 (forall @t43 (= (tptp.pidMsg @t19) @t13))) % 0.52/0.70 (assume @p52 (tptp.ordered tptp.q_nil)) % 0.52/0.70 (assume @p53 (forall @t43 (and (tptp.ordered @t42) (tptp.ordered @t41)))) % 0.52/0.70 (assume @p54 (forall @t36 (= (tptp.ordered @t35) (and @t52 (forall @t47 (=> @t51 (tptp.leq @t50 @t49))))))) % 0.52/0.70 (assume @p55 (forall @t36 (= (tptp.ordered (tptp.snoc @t5 @t13)) (and @t52 (forall @t47 (=> @t51 (tptp.leq @t49 @t50))))))) % 0.52/0.70 (assume @p56 (forall @t53 (=> @t52 (tptp.ordered (tptp.snoc @t5 @t14))))) % 0.52/0.70 (assume @p57 (forall (@list @t5 @t13) (=> @t52 (tptp.ordered (tptp.snoc @t5 @t24))))) % 0.52/0.70 (assume @p58 (forall @t53 (=> (and (tptp.ordered (tptp.cons @t25 @t5)) (= @t56 @t55) (tptp.elem 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cong :premises (@p453) :args (@t167)) % 0.52/0.71 (step @p494 :rule nary_cong :premises (@p493 @p492) :args (@t168)) % 0.52/0.71 (step @p495 :rule cong :premises (@p494 @p491) :args (@t169)) % 0.52/0.71 (step @p496 :rule cong :premises (@p495) :args (@t170)) % 0.52/0.71 (step @p497 :rule trans :premises (@p496 @p490)) % 0.52/0.71 (step @p498 :rule bool-impl-elim :args (@t172 @t171)) % 0.52/0.71 (step @p499 :rule cong :premises (@p498) :args (@t173)) % 0.52/0.71 (step @p500 :rule nary_cong :premises (@p499 @p497 @p478 @p459 @p428 @p404 @p368 @p308) :args (@t174)) % 0.52/0.71 (step @p501 :rule cong :premises (@p500 @p307) :args (@t175)) % 0.52/0.71 (step @p502 :rule cong :premises (@p501) :args (@t177)) % 0.52/0.71 (step @p503 :rule trans :premises (@p502 @p194)) % 0.52/0.71 (step @p504 :rule cong :premises (@p503) :args (@t178)) % 0.52/0.71 (step @p505 :rule eq_resolve :premises (@p67 @p504)) % 0.52/0.71 (step @p506 :rule not_or_elim :premises (@p505) :args (8)) % 0.52/0.71 (step @p507 :rule skolemize :premises (@p506)) % 0.52/0.71 (step @p508 :rule bool-double-not-elim :args (@t362)) % 0.52/0.71 (step @p509 :rule refl :args (@t383)) % 0.52/0.71 (step @p510 :rule nary_cong :premises (@p509 @p508) :args ((or @t383 (not @t382)))) % 0.52/0.71 (step @p511 :rule cnf_or_neg :args (@t383 0)) % 0.52/0.71 (step @p512 :rule eq_resolve :premises (@p511 @p510)) % 0.52/0.71 (step @p513 :rule reordering :premises (@p512) :args ((or @t362 @t383))) % 0.52/0.71 (step @p514 :rule chain_m_resolution :premises (@p513 @p507) :args (@t362 @t384 @t385)) % 0.52/0.71 (step @p515 :rule refl :args (@t205)) % 0.52/0.71 (step @p516 :rule cong :premises (@p515 @p514) :args (@t386)) % 0.52/0.71 (step @p517 :rule not_or_elim :premises (@p505) :args (6)) % 0.52/0.71 (step @p518 :rule not_not_elim :premises (@p517)) % 0.52/0.71 (step @p519 :rule refl :args (@t367)) % 0.52/0.71 (step @p520 :rule refl :args (@t369)) % 0.52/0.71 (step @p521 :rule refl :args (@t371)) % 0.52/0.71 (step @p522 :rule refl :args (@t377)) % 0.52/0.71 (step @p523 :rule refl :args (@t387)) % 0.52/0.71 (step @p524 :rule refl :args (@t388)) % 0.52/0.71 (step @p525 :rule eq-symm :args (@t378 @t62)) % 0.52/0.71 (step @p526 :rule refl :args (@t389)) % 0.52/0.71 (step @p527 :rule refl :args (@t243)) % 0.52/0.71 (step @p528 :rule refl :args (@t390)) % 0.52/0.71 (step @p529 :rule nary_cong :premises (@p528 @p527 @p526 @p525) :args (@t391)) % 0.52/0.71 (step @p530 :rule cong :premises (@p529) :args (@t392)) % 0.52/0.71 (step @p531 :rule cong :premises (@p530) :args (@t393)) % 0.52/0.71 (step @p532 :rule nary_cong :premises (@p531 @p524 @p523 @p522 @p521 @p520 @p519) :args (@t394)) % 0.52/0.71 (step @p533 :rule refl :args (@t248)) % 0.52/0.71 (step @p534 :rule cong :premises (@p533 @p532) :args ((=> @t248 @t394))) % 0.52/0.71 (assume-push @p634 @t248) % 0.52/0.71 (step @p536 :rule instantiate :premises (@p518) :args ((@list @t363 @t204 @t359))) % 0.52/0.71 (step-pop @p635 :rule scope :premises (@p536)) % 0.52/0.71 (step @p537 :rule process_scope :premises (@p635) :args (@t394)) % 0.52/0.71 (step @p539 :rule eq_resolve :premises (@p537 @p534)) % 0.52/0.71 (step @p540 :rule implies_elim :premises (@p539)) % 0.52/0.71 (step @p541 :rule chain_m_resolution :premises (@p540 @p518) :args (@t397 @t211 (@list @t248))) % 0.52/0.71 (step @p542 :rule eq-symm :args (@t59 @t26)) % 0.52/0.71 (step @p543 :rule cong :premises (@p542) :args (@t60)) % 0.52/0.71 (step @p544 :rule eq_resolve :premises (@p62 @p543)) % 0.52/0.71 (step @p545 :rule eq-symm :args (@t398 @t401)) % 0.52/0.71 (step @p546 :rule refl :args (@t401)) % 0.52/0.71 (step @p547 :rule eq-symm :args (@t365 tptp.nbr_proc)) % 0.52/0.71 (step @p548 :rule cong :premises (@p547 @p546) :args (@t402)) % 0.52/0.71 (step @p549 :rule trans :premises (@p548 @p545)) % 0.52/0.71 (step @p550 :rule refl :args (@t403)) % 0.52/0.71 (step @p551 :rule cong :premises (@p550 @p549) :args ((=> @t403 @t402))) % 0.52/0.71 (assume-push @p636 @t403) % 0.52/0.71 (step @p553 :rule instantiate :premises (@p544) :args ((@list @t365 tptp.nbr_proc))) % 0.52/0.71 (step-pop @p637 :rule scope :premises (@p553)) % 0.52/0.71 (step @p554 :rule process_scope :premises (@p637) :args (@t402)) % 0.52/0.71 (step @p556 :rule eq_resolve :premises (@p554 @p551)) % 0.52/0.71 (step @p557 :rule implies_elim :premises (@p556)) % 0.52/0.71 (step @p558 :rule chain_m_resolution :premises (@p557 @p544) :args (@t404 @t211 (@list @t403))) % 0.52/0.71 (step @p559 :rule cnf_or_neg :args (@t383 10)) % 0.52/0.71 (step @p560 :rule chain_m_resolution :premises (@p559 @p507) :args ((not @t372) @t384 @t385)) % 0.52/0.71 (step @p561 :rule false_intro :premises (@p560)) % 0.52/0.71 (step @p562 :rule refl :args (@t365)) % 0.52/0.71 (step @p563 :rule instantiate :premises (@p544) :args ((@list tptp.nbr_proc @t360))) % 0.52/0.71 (step @p564 :rule instantiate :premises (@p5) :args ((@list @t359))) % 0.52/0.71 (step @p565 :rule bool-double-not-elim :args (@t373)) % 0.52/0.71 (step @p566 :rule nary_cong :premises (@p509 @p565) :args ((or @t383 (not @t374)))) % 0.52/0.71 (step @p567 :rule cnf_or_neg :args (@t383 7)) % 0.52/0.71 (step @p568 :rule eq_resolve :premises (@p567 @p566)) % 0.52/0.71 (step @p569 :rule reordering :premises (@p568) :args ((or @t373 @t383))) % 0.52/0.71 (step @p570 :rule chain_m_resolution :premises (@p569 @p507) :args (@t373 @t384 @t385)) % 0.52/0.71 (step @p571 :rule cnf_and_neg :args (@t406)) % 0.52/0.71 (step @p572 :rule reordering :premises (@p571) :args ((or @t374 @t406 (not @t405)))) % 0.52/0.71 (step @p573 :rule chain_m_resolution :premises (@p572 @p570 @p564) :args (@t406 @t407 (@list @t373 @t405))) % 0.52/0.71 (step @p574 :rule cnf_equiv_pos2 :args (@t409)) % 0.52/0.71 (step @p575 :rule reordering :premises (@p574) :args ((or @t408 (not @t406) (not @t409)))) % 0.52/0.71 (step @p576 :rule chain_m_resolution :premises (@p575 @p573 @p563) :args (@t408 @t407 (@list @t406 @t409))) % 0.52/0.71 (step @p577 :rule cong :premises (@p576 @p562) :args (@t398)) % 0.52/0.71 (step @p578 :rule trans :premises (@p577 @p561)) % 0.52/0.71 (step @p579 :rule false_elim :premises (@p578)) % 0.52/0.71 (step @p580 :rule cnf_equiv_pos1 :args (@t404)) % 0.52/0.71 (step @p581 :rule reordering :premises (@p580) :args ((or @t398 @t410 (not @t404)))) % 0.52/0.71 (step @p582 :rule chain_m_resolution :premises (@p581 @p579 @p558) :args (@t410 (@list true false) (@list @t398 @t404))) % 0.52/0.71 (step @p583 :rule instantiate :premises (@p5) :args ((@list @t363))) % 0.52/0.71 (step @p584 :rule cnf_and_neg :args (@t401)) % 0.52/0.71 (step @p585 :rule reordering :premises (@p584) :args ((or (not @t400) @t401 @t411))) % 0.52/0.71 (step @p586 :rule chain_m_resolution :premises (@p585 @p583 @p582) :args (@t411 (@list false true) (@list @t400 @t401))) % 0.52/0.71 (step @p587 :rule false_intro :premises (@p586)) % 0.52/0.71 (step @p588 :rule symm :premises (@p576)) % 0.52/0.71 (step @p589 :rule cong :premises (@p588 @p562) :args (@t388)) % 0.52/0.71 (step @p590 :rule trans :premises (@p589 @p587)) % 0.52/0.71 (step @p591 :rule false_elim :premises (@p590)) % 0.52/0.71 (step @p592 :rule bool-double-not-elim :args (@t380)) % 0.52/0.71 (step @p593 :rule nary_cong :premises (@p509 @p592) :args ((or @t383 (not @t381)))) % 0.52/0.71 (step @p594 :rule cnf_or_neg :args (@t383 5)) % 0.52/0.71 (step @p595 :rule eq_resolve :premises (@p594 @p593)) % 0.52/0.71 (step @p596 :rule reordering :premises (@p595) :args ((or @t380 @t383))) % 0.52/0.71 (step @p597 :rule chain_m_resolution :premises (@p596 @p507) :args (@t380 @t384 @t385)) % 0.52/0.71 (step @p598 :rule alpha_equiv :args (@t380 (@list @t11) (@list @t62))) % 0.52/0.71 (step @p599 :rule equiv_elim1 :premises (@p598)) % 0.52/0.71 (step @p600 :rule chain_m_resolution :premises (@p599 @p597) :args (@t395 @t211 (@list @t380))) % 0.52/0.71 (step @p601 :rule bool-double-not-elim :args (@t366)) % 0.52/0.71 (step @p602 :rule nary_cong :premises (@p509 @p601) :args ((or @t383 (not @t367)))) % 0.52/0.71 (step @p603 :rule cnf_or_neg :args (@t383 13)) % 0.52/0.71 (step @p604 :rule eq_resolve :premises (@p603 @p602)) % 0.52/0.71 (step @p605 :rule reordering :premises (@p604) :args ((or @t366 @t383))) % 0.52/0.71 (step @p606 :rule chain_m_resolution :premises (@p605 @p507) :args (@t366 @t384 @t385)) % 0.52/0.71 (step @p607 :rule bool-double-not-elim :args (@t368)) % 0.52/0.71 (step @p608 :rule nary_cong :premises (@p509 @p607) :args ((or @t383 (not @t369)))) % 0.52/0.71 (step @p609 :rule cnf_or_neg :args (@t383 12)) % 0.52/0.71 (step @p610 :rule eq_resolve :premises (@p609 @p608)) % 0.52/0.71 (step @p611 :rule reordering :premises (@p610) :args ((or @t368 @t383))) % 0.52/0.71 (step @p612 :rule chain_m_resolution :premises (@p611 @p507) :args (@t368 @t384 @t385)) % 0.52/0.71 (step @p613 :rule bool-double-not-elim :args (@t370)) % 0.52/0.71 (step @p614 :rule nary_cong :premises (@p509 @p613) :args ((or @t383 (not @t371)))) % 0.52/0.71 (step @p615 :rule cnf_or_neg :args (@t383 11)) % 0.52/0.71 (step @p616 :rule eq_resolve :premises (@p615 @p614)) % 0.52/0.71 (step @p617 :rule reordering :premises (@p616) :args ((or @t370 @t383))) % 0.52/0.71 (step @p618 :rule chain_m_resolution :premises (@p617 @p507) :args (@t370 @t384 @t385)) % 0.52/0.71 (step @p619 :rule bool-double-not-elim :args (@t376)) % 0.52/0.71 (step @p620 :rule nary_cong :premises (@p509 @p619) :args ((or @t383 (not @t377)))) % 0.52/0.71 (step @p621 :rule cnf_or_neg :args (@t383 6)) % 0.52/0.71 (step @p622 :rule eq_resolve :premises (@p621 @p620)) % 0.52/0.71 (step @p623 :rule reordering :premises (@p622) :args ((or @t376 @t383))) % 0.52/0.71 (step @p624 :rule chain_m_resolution :premises (@p623 @p507) :args (@t376 @t384 @t385)) % 0.52/0.71 (step @p625 :rule cnf_or_pos :args (@t397)) % 0.52/0.71 (step @p626 :rule reordering :premises (@p625) :args ((or @t377 @t371 @t369 @t367 @t387 @t396 @t388 (not @t397)))) % 0.52/0.71 (step @p627 :rule chain_m_resolution :premises (@p626 @p624 @p618 @p612 @p606 @p600 @p591 @p541) :args (@t387 (@list false false false false false true false) (@list @t376 @t370 @t368 @t366 @t395 @t388 @t397))) % 0.52/0.71 (step @p628 :rule false_intro :premises (@p627)) % 0.52/0.71 (step @p629 :rule symm :premises (@p628)) % 0.52/0.71 (step @p630 :rule trans :premises (@p629 @p516 @p88)) % 0.52/0.71 (step @p631 false :rule eq_resolve :premises (@p630 @p69)) % 0.52/0.71 ) % 0.52/0.71 % SZS output end Proof % 0.52/0.71 % cvc5 exiting %------------------------------------------------------------------------------