%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV464+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:01:36 AM UTC 2026 % Result : Theorem 0.38s 0.76s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWV464+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n027.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 20:19:06 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.76 % SZS status Theorem % 0.38/0.76 % SZS output start Proof % 0.38/0.76 ( % 0.38/0.76 (declare-sort $$unsorted 0) % 0.38/0.76 (declare-const tptp.down $$unsorted) % 0.38/0.76 (declare-const tptp.ldr $$unsorted) % 0.38/0.76 (declare-const tptp.index (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.status $$unsorted) % 0.38/0.76 (declare-const tptp.ordered (-> $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.pidMsg (-> $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.elec_1 $$unsorted) % 0.38/0.76 (declare-const tptp.zero $$unsorted) % 0.38/0.76 (declare-const tptp.elem (-> $$unsorted $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.m_Ack (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.setEmpty $$unsorted) % 0.38/0.76 (declare-const tptp.elec_2 $$unsorted) % 0.38/0.76 (declare-const tptp.queue (-> $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.nbr_proc $$unsorted) % 0.38/0.76 (declare-const tptp.pendack $$unsorted) % 0.38/0.76 (declare-const tptp.setIn (-> $$unsorted $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.wait $$unsorted) % 0.38/0.76 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.elid $$unsorted) % 0.38/0.76 (declare-const tptp.norm $$unsorted) % 0.38/0.76 (declare-const tptp.m_Ldr (-> $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.host (-> $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.pids $$unsorted) % 0.38/0.76 (declare-const tptp.pidElem (-> $$unsorted Bool)) % 0.38/0.76 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.m_Down (-> $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.last (-> $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.m_NotNorm (-> $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.m_Halt (-> $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.alive $$unsorted) % 0.38/0.76 (declare-const tptp.nil $$unsorted) % 0.38/0.76 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.snoc (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.init (-> $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.m_NormQ (-> $$unsorted $$unsorted)) % 0.38/0.76 (declare-const tptp.q_nil $$unsorted) % 0.38/0.76 (define @t1 () (@var "Pid2" $$unsorted)) % 0.38/0.76 (define @t2 () (@var "Pid" $$unsorted)) % 0.38/0.76 (define @t3 () (tptp.host @t2)) % 0.38/0.76 (define @t4 () (@list @t2 @t1)) % 0.38/0.76 (define @t5 () (@var "Q" $$unsorted)) % 0.38/0.76 (define @t6 () (tptp.host @t5)) % 0.38/0.76 (define @t7 () (@var "P" $$unsorted)) % 0.38/0.76 (define @t8 () (tptp.host @t7)) % 0.38/0.76 (define @t9 () (tptp.s tptp.zero)) % 0.38/0.76 (define @t10 () (@list @t7)) % 0.38/0.76 (define @t11 () (@var "Z" $$unsorted)) % 0.38/0.76 (define @t12 () (@var "Y" $$unsorted)) % 0.38/0.76 (define @t13 () (@var "X" $$unsorted)) % 0.38/0.76 (define @t14 () (tptp.m_Ack @t13 @t12)) % 0.38/0.76 (define @t15 () (@list @t13 @t12 @t11)) % 0.38/0.76 (define @t16 () (forall @t15 (not (= @t14 (tptp.m_Halt @t11))))) % 0.38/0.76 (define @t17 () (tptp.m_Halt @t12)) % 0.38/0.76 (define @t18 () (tptp.m_NotNorm @t13)) % 0.38/0.76 (define @t19 () (@list @t13 @t12)) % 0.38/0.76 (define @t20 () (tptp.m_Down @t13)) % 0.38/0.76 (define @t21 () (not (= @t20 @t17))) % 0.38/0.76 (define @t22 () (forall @t19 @t21)) % 0.38/0.76 (define @t23 () (tptp.m_Ldr @t12)) % 0.38/0.76 (define @t24 () (tptp.m_NotNorm @t12)) % 0.38/0.76 (define @t25 () (tptp.m_NormQ @t12)) % 0.38/0.76 (define @t26 () (tptp.m_NormQ @t13)) % 0.38/0.76 (define @t27 () (tptp.m_Ldr @t13)) % 0.38/0.76 (define @t28 () (tptp.m_Halt @t13)) % 0.38/0.76 (define @t29 () (= @t13 @t12)) % 0.38/0.76 (define @t30 () (not @t29)) % 0.38/0.76 (define @t31 () (tptp.m_Down @t12)) % 0.38/0.76 (define @t32 () (@var "Y2" $$unsorted)) % 0.38/0.76 (define @t33 () (@var "X2" $$unsorted)) % 0.38/0.76 (define @t34 () (@var "Y1" $$unsorted)) % 0.38/0.76 (define @t35 () (@var "X1" $$unsorted)) % 0.38/0.76 (define @t36 () (not (= (tptp.m_Ack @t35 @t34) (tptp.m_Ack @t33 @t32)))) % 0.38/0.76 (define @t37 () (@list @t35 @t33 @t34 @t32)) % 0.38/0.76 (define @t38 () (tptp.cons @t13 @t5)) % 0.38/0.76 (define @t39 () (@list @t13 @t5)) % 0.38/0.76 (define @t40 () (tptp.snoc @t5 @t12)) % 0.38/0.76 (define @t41 () (@list @t12 @t5)) % 0.38/0.76 (define @t42 () (= @t5 tptp.q_nil)) % 0.38/0.76 (define @t43 () (@list @t5)) % 0.38/0.76 (define @t44 () (tptp.snoc tptp.q_nil @t13)) % 0.38/0.76 (define @t45 () (tptp.cons @t13 tptp.q_nil)) % 0.38/0.76 (define @t46 () (@list @t13)) % 0.38/0.76 (define @t47 () (@list @t13 @t12 @t5)) % 0.38/0.76 (define @t48 () (or @t29 (tptp.elem @t13 @t5))) % 0.38/0.76 (define @t49 () (tptp.elem @t13 @t40)) % 0.38/0.76 (define @t50 () (forall @t47 (= @t49 @t48))) % 0.38/0.76 (define @t51 () (@list @t12)) % 0.38/0.76 (define @t52 () (tptp.pidElem @t13)) % 0.38/0.76 (define @t53 () (tptp.pidMsg @t12)) % 0.38/0.76 (define @t54 () (tptp.pidMsg @t13)) % 0.38/0.76 (define @t55 () (and (tptp.elem @t12 @t5) @t52 (tptp.pidElem @t12) (= (tptp.host @t53) (tptp.host @t54)))) % 0.38/0.76 (define @t56 () (tptp.ordered @t5)) % 0.38/0.76 (define @t57 () (@list @t5 @t13 @t12)) % 0.38/0.76 (define @t58 () (tptp.leq @t13 @t12)) % 0.38/0.76 (define @t59 () (tptp.host @t12)) % 0.38/0.76 (define @t60 () (tptp.host @t13)) % 0.38/0.76 (define @t61 () (tptp.s @t13)) % 0.38/0.76 (define @t62 () (tptp.leq @t12 @t13)) % 0.38/0.76 (define @t63 () (tptp.s @t12)) % 0.38/0.76 (define @t64 () (tptp.host @t11)) % 0.38/0.76 (define @t65 () (tptp.index tptp.status @t64)) % 0.38/0.76 (define @t66 () (tptp.index tptp.ldr @t64)) % 0.38/0.76 (define @t67 () (tptp.setIn @t11 tptp.alive)) % 0.38/0.76 (define @t68 () (and @t67 (= @t66 @t64) (= @t65 tptp.norm))) % 0.38/0.76 (define @t69 () (not @t68)) % 0.38/0.76 (define @t70 () (@var "Y0" $$unsorted)) % 0.38/0.76 (define @t71 () (tptp.host @t70)) % 0.38/0.76 (define @t72 () (tptp.index tptp.pendack @t71)) % 0.38/0.76 (define @t73 () (tptp.s @t72)) % 0.38/0.76 (define @t74 () (@var "X0" $$unsorted)) % 0.38/0.76 (define @t75 () (tptp.host @t74)) % 0.38/0.76 (define @t76 () (@var "W0" $$unsorted)) % 0.38/0.76 (define @t77 () (tptp.host @t76)) % 0.38/0.76 (define @t78 () (tptp.index tptp.status @t71)) % 0.38/0.76 (define @t79 () (tptp.snoc (tptp.queue @t71) @t28)) % 0.38/0.76 (define @t80 () (tptp.elem (tptp.m_Ack @t70 @t76) @t79)) % 0.38/0.76 (define @t81 () (tptp.elem (tptp.m_Down @t74) @t79)) % 0.38/0.76 (define @t82 () (tptp.leq tptp.nbr_proc @t73)) % 0.38/0.76 (define @t83 () (tptp.setIn @t70 tptp.alive)) % 0.38/0.76 (define @t84 () (and @t83 @t82 @t81 @t80 (= @t78 tptp.elec_2) (= @t77 @t72) (= @t75 @t73))) % 0.38/0.76 (define @t85 () (=> @t84 @t69)) % 0.38/0.76 (define @t86 () (= @t60 @t71)) % 0.38/0.76 (define @t87 () (not @t86)) % 0.38/0.76 (define @t88 () (=> @t87 @t85)) % 0.38/0.76 (define @t89 () (tptp.index tptp.pendack @t60)) % 0.38/0.76 (define @t90 () (tptp.s @t89)) % 0.38/0.76 (define @t91 () (=> (= @t90 @t71) @t88)) % 0.38/0.76 (define @t92 () (@list @t11 @t76 @t74 @t70)) % 0.38/0.76 (define @t93 () (forall @t92 @t91)) % 0.38/0.76 (define @t94 () (tptp.leq tptp.nbr_proc @t89)) % 0.38/0.76 (define @t95 () (not @t94)) % 0.38/0.76 (define @t96 () (=> @t95 @t93)) % 0.38/0.76 (define @t97 () (= @t59 @t89)) % 0.38/0.76 (define @t98 () (tptp.index tptp.status @t60)) % 0.38/0.76 (define @t99 () (@var "W" $$unsorted)) % 0.38/0.76 (define @t100 () (tptp.index tptp.elid @t60)) % 0.38/0.76 (define @t101 () (and (= @t100 @t99) (= @t98 tptp.elec_2) @t97)) % 0.38/0.76 (define @t102 () (=> @t101 @t96)) % 0.38/0.76 (define @t103 () (tptp.setIn @t13 tptp.alive)) % 0.38/0.76 (define @t104 () (=> @t103 @t102)) % 0.38/0.76 (define @t105 () (@var "V" $$unsorted)) % 0.38/0.76 (define @t106 () (tptp.queue @t60)) % 0.38/0.76 (define @t107 () (= @t106 (tptp.cons (tptp.m_Ack @t99 @t12) @t105))) % 0.38/0.76 (define @t108 () (@var "Pid0" $$unsorted)) % 0.38/0.76 (define @t109 () (tptp.host @t108)) % 0.38/0.76 (define @t110 () (tptp.index tptp.pendack @t109)) % 0.38/0.76 (define @t111 () (tptp.s @t110)) % 0.38/0.76 (define @t112 () (@var "Pid20" $$unsorted)) % 0.38/0.76 (define @t113 () (tptp.host @t112)) % 0.38/0.76 (define @t114 () (= @t113 @t111)) % 0.38/0.76 (define @t115 () (@var "Pid30" $$unsorted)) % 0.38/0.76 (define @t116 () (tptp.host @t115)) % 0.38/0.76 (define @t117 () (tptp.index tptp.status @t109)) % 0.38/0.76 (define @t118 () (= @t117 tptp.elec_2)) % 0.38/0.76 (define @t119 () (tptp.leq tptp.nbr_proc @t111)) % 0.38/0.76 (define @t120 () (tptp.queue @t109)) % 0.38/0.76 (define @t121 () (tptp.elem (tptp.m_Ack @t108 @t115) @t120)) % 0.38/0.76 (define @t122 () (tptp.elem (tptp.m_Down @t112) @t120)) % 0.38/0.76 (define @t123 () (tptp.setIn @t108 tptp.alive)) % 0.38/0.76 (define @t124 () (and @t123 @t122 @t121 @t119 @t118 (= @t116 @t110) @t114)) % 0.38/0.76 (define @t125 () (=> @t124 @t69)) % 0.38/0.76 (define @t126 () (@list @t11 @t115 @t112 @t108)) % 0.38/0.76 (define @t127 () (forall @t126 @t125)) % 0.38/0.76 (define @t128 () (tptp.queue @t64)) % 0.38/0.76 (define @t129 () (tptp.elem (tptp.m_Down @t115) @t128)) % 0.38/0.76 (define @t130 () (not (and @t67 @t129))) % 0.38/0.76 (define @t131 () (= @t117 tptp.elec_1)) % 0.38/0.76 (define @t132 () (= @t109 @t116)) % 0.38/0.76 (define @t133 () (@var "V0" $$unsorted)) % 0.38/0.76 (define @t134 () (tptp.setIn @t133 (tptp.index tptp.down @t109))) % 0.38/0.76 (define @t135 () (or @t134 (= @t133 @t113))) % 0.38/0.76 (define @t136 () (tptp.leq @t9 @t133)) % 0.38/0.76 (define @t137 () (tptp.leq @t109 @t133)) % 0.38/0.76 (define @t138 () (not @t137)) % 0.38/0.76 (define @t139 () (and @t138 @t136)) % 0.38/0.76 (define @t140 () (=> @t139 @t135)) % 0.38/0.76 (define @t141 () (@list @t133)) % 0.38/0.76 (define @t142 () (forall @t141 @t140)) % 0.38/0.76 (define @t143 () (and @t142 @t122 (= @t109 tptp.nbr_proc) @t132 @t131)) % 0.38/0.76 (define @t144 () (=> @t143 @t130)) % 0.38/0.76 (define @t145 () (forall @t126 @t144)) % 0.38/0.76 (define @t146 () (tptp.queue @t113)) % 0.38/0.76 (define @t147 () (tptp.m_Halt @t108)) % 0.38/0.76 (define @t148 () (tptp.elem @t147 @t146)) % 0.38/0.76 (define @t149 () (tptp.leq @t110 @t64)) % 0.38/0.76 (define @t150 () (not @t149)) % 0.38/0.76 (define @t151 () (and @t150 @t123 @t148 @t118)) % 0.38/0.76 (define @t152 () (=> @t151 @t69)) % 0.38/0.76 (define @t153 () (@list @t11 @t112 @t108)) % 0.38/0.76 (define @t154 () (forall @t153 @t152)) % 0.38/0.76 (define @t155 () (not (tptp.leq (tptp.index tptp.pendack @t64) @t110))) % 0.38/0.76 (define @t156 () (= @t65 tptp.elec_2)) % 0.38/0.76 (define @t157 () (tptp.leq @t64 @t109)) % 0.38/0.76 (define @t158 () (not @t157)) % 0.38/0.76 (define @t159 () (and @t158 @t67 @t123 @t156 @t118)) % 0.38/0.76 (define @t160 () (=> @t159 @t155)) % 0.38/0.76 (define @t161 () (@list @t11 @t108)) % 0.38/0.76 (define @t162 () (forall @t161 @t160)) % 0.38/0.76 (define @t163 () (not (tptp.elem (tptp.m_Ack @t11 @t112) @t128))) % 0.38/0.76 (define @t164 () (= @t109 @t113)) % 0.38/0.76 (define @t165 () (and @t67 @t123 @t164 @t156 @t118)) % 0.38/0.76 (define @t166 () (=> @t165 @t163)) % 0.38/0.76 (define @t167 () (forall @t153 @t166)) % 0.38/0.76 (define @t168 () (=> @t159 @t149)) % 0.38/0.76 (define @t169 () (forall @t161 @t168)) % 0.38/0.76 (define @t170 () (and @t123 @t122 (= @t113 @t64))) % 0.38/0.76 (define @t171 () (=> @t170 @t69)) % 0.38/0.76 (define @t172 () (forall @t153 @t171)) % 0.38/0.76 (define @t173 () (tptp.index tptp.elid @t64)) % 0.38/0.76 (define @t174 () (or (= @t65 tptp.elec_1) @t156)) % 0.38/0.76 (define @t175 () (and @t174 @t67)) % 0.38/0.76 (define @t176 () (=> @t175 (= @t173 @t11))) % 0.38/0.76 (define @t177 () (@list @t11)) % 0.38/0.76 (define @t178 () (forall @t177 @t176)) % 0.38/0.76 (define @t179 () (tptp.m_Ack @t108 @t11)) % 0.38/0.76 (define @t180 () (tptp.elem @t179 @t120)) % 0.38/0.76 (define @t181 () (not @t180)) % 0.38/0.76 (define @t182 () (and @t123 @t131)) % 0.38/0.76 (define @t183 () (=> @t182 @t181)) % 0.38/0.76 (define @t184 () (forall @t161 @t183)) % 0.38/0.76 (define @t185 () (tptp.leq @t64 @t110)) % 0.38/0.76 (define @t186 () (and @t123 @t180)) % 0.38/0.76 (define @t187 () (forall @t161 (=> @t186 @t185))) % 0.38/0.76 (define @t188 () (not @t123)) % 0.38/0.76 (define @t189 () (not @t67)) % 0.38/0.76 (define @t190 () (or @t189 @t188)) % 0.38/0.76 (define @t191 () (= @t109 @t64)) % 0.38/0.76 (define @t192 () (not (= @t108 @t11))) % 0.38/0.76 (define @t193 () (and @t192 @t191)) % 0.38/0.76 (define @t194 () (=> @t193 @t190)) % 0.38/0.76 (define @t195 () (forall @t161 @t194)) % 0.38/0.76 (define @t196 () (tptp.elem @t179 @t146)) % 0.38/0.76 (define @t197 () (forall @t153 (=> @t196 @t158))) % 0.38/0.76 (define @t198 () (tptp.elem @t147 @t128)) % 0.38/0.76 (define @t199 () (forall @t161 (=> @t198 @t158))) % 0.38/0.76 (define @t200 () (not @t191)) % 0.38/0.76 (define @t201 () (tptp.elem (tptp.m_Down @t108) @t128)) % 0.38/0.76 (define @t202 () (=> @t201 @t200)) % 0.38/0.76 (define @t203 () (forall @t161 @t202)) % 0.38/0.76 (define @t204 () (tptp.elem (tptp.m_Ldr @t108) @t128)) % 0.38/0.76 (define @t205 () (forall @t161 (=> @t204 @t158))) % 0.38/0.76 (define @t206 () (and @t205 @t203 @t199 @t197 @t195 @t187 @t184 @t178 @t172 @t169 @t167 @t162 @t154 @t145 @t127 @t107)) % 0.38/0.76 (define @t207 () (=> @t206 @t104)) % 0.38/0.76 (define @t208 () (@list @t105 @t99 @t13 @t12)) % 0.38/0.76 (define @t209 () (forall @t208 @t207)) % 0.38/0.76 (define @t210 () (not @t209)) % 0.38/0.76 (define @t211 () (@var "BOUND_VARIABLE_8345" $$unsorted)) % 0.38/0.76 (define @t212 () (@var "BOUND_VARIABLE_8347" $$unsorted)) % 0.38/0.76 (define @t213 () (tptp.host @t212)) % 0.38/0.76 (define @t214 () (tptp.index tptp.pendack @t213)) % 0.38/0.76 (define @t215 () (tptp.s @t214)) % 0.38/0.76 (define @t216 () (not (= @t215 (tptp.host @t211)))) % 0.38/0.76 (define @t217 () (@var "BOUND_VARIABLE_8343" $$unsorted)) % 0.38/0.76 (define @t218 () (not (= @t214 (tptp.host @t217)))) % 0.38/0.76 (define @t219 () (not (= tptp.elec_2 (tptp.index tptp.status @t213)))) % 0.38/0.76 (define @t220 () (tptp.snoc (tptp.queue @t213) @t28)) % 0.38/0.76 (define @t221 () (not (tptp.elem (tptp.m_Ack @t212 @t217) @t220))) % 0.38/0.76 (define @t222 () (not (tptp.elem (tptp.m_Down @t211) @t220))) % 0.38/0.76 (define @t223 () (not (tptp.leq tptp.nbr_proc @t215))) % 0.38/0.76 (define @t224 () (not (tptp.setIn @t212 tptp.alive))) % 0.38/0.76 (define @t225 () (= @t60 @t213)) % 0.38/0.76 (define @t226 () (not (= @t90 @t213))) % 0.38/0.76 (define @t227 () (not @t97)) % 0.38/0.76 (define @t228 () (= tptp.elec_2 @t98)) % 0.38/0.76 (define @t229 () (not @t228)) % 0.38/0.76 (define @t230 () (not @t103)) % 0.38/0.76 (define @t231 () (not (= @t106 (tptp.cons (tptp.m_Ack @t100 @t12) @t105)))) % 0.38/0.76 (define @t232 () (or @t231 @t230 @t229 @t227 @t94 @t226 @t225 @t224 @t223 @t222 @t221 @t219 @t218 @t216)) % 0.38/0.76 (define @t233 () (not (= @t100 @t100))) % 0.38/0.76 (define @t234 () (or @t231 @t230 @t233 @t229 @t227 @t94 @t226 @t225 @t224 @t223 @t222 @t221 @t219 @t218 @t216)) % 0.38/0.76 (define @t235 () (@list @t105 @t13 @t12 @t217 @t211 @t212)) % 0.38/0.76 (define @t236 () (= @t99 @t100)) % 0.38/0.76 (define @t237 () (not @t236)) % 0.38/0.76 (define @t238 () (not @t107)) % 0.38/0.76 (define @t239 () (or @t237 @t238 @t230 @t237 @t229 @t227 @t94 @t226 @t225 @t224 @t223 @t222 @t221 @t219 @t218 @t216)) % 0.38/0.76 (define @t240 () (@list @t99)) % 0.38/0.76 (define @t241 () (or @t238 @t230 @t237 @t229 @t227 @t94 @t226 @t225 @t224 @t223 @t222 @t221 @t219 @t218 @t216)) % 0.38/0.76 (define @t242 () (forall @t240 @t241)) % 0.38/0.76 (define @t243 () (forall @t235 @t242)) % 0.38/0.76 (define @t244 () (forall (@list @t105 @t13 @t12 @t217 @t211 @t212 @t99) @t241)) % 0.38/0.76 (define @t245 () (@list @t105 @t99 @t13 @t12 @t217 @t211 @t212)) % 0.38/0.76 (define @t246 () (not (= @t213 @t90))) % 0.38/0.76 (define @t247 () (or @t238 @t230 @t237 @t229 @t227 @t94 @t246 @t225 @t224 @t223 @t222 @t221 @t219 @t218 @t216)) % 0.38/0.76 (define @t248 () (or @t246 @t225 @t224 @t223 @t222 @t221 @t219 @t218 @t216)) % 0.38/0.76 (define @t249 () (or @t238 @t230 @t237 @t229 @t227 @t94 @t248)) % 0.38/0.76 (define @t250 () (forall @t245 @t249)) % 0.38/0.76 (define @t251 () (@list @t217 @t211 @t212)) % 0.38/0.76 (define @t252 () (forall @t251 @t249)) % 0.38/0.76 (define @t253 () (forall @t251 @t248)) % 0.38/0.76 (define @t254 () (or @t238 @t230 @t237 @t229 @t227 @t94 @t253)) % 0.38/0.76 (define @t255 () (= @t73 @t75)) % 0.38/0.76 (define @t256 () (not @t255)) % 0.38/0.76 (define @t257 () (= @t72 @t77)) % 0.38/0.76 (define @t258 () (not @t257)) % 0.38/0.76 (define @t259 () (= tptp.elec_2 @t78)) % 0.38/0.76 (define @t260 () (not @t259)) % 0.38/0.76 (define @t261 () (not @t80)) % 0.38/0.76 (define @t262 () (not @t81)) % 0.38/0.76 (define @t263 () (not @t82)) % 0.38/0.76 (define @t264 () (not @t83)) % 0.38/0.76 (define @t265 () (= @t71 @t90)) % 0.38/0.76 (define @t266 () (not @t265)) % 0.38/0.76 (define @t267 () (or @t266 @t86 @t264 @t263 @t262 @t261 @t260 @t258 @t256)) % 0.38/0.76 (define @t268 () (forall (@list @t76 @t74 @t70) @t267)) % 0.38/0.76 (define @t269 () (or @t238 @t230 @t237 @t229 @t227 @t94 @t268)) % 0.38/0.76 (define @t270 () (forall @t208 @t269)) % 0.38/0.76 (define @t271 () (= tptp.norm @t65)) % 0.38/0.76 (define @t272 () (not @t271)) % 0.38/0.76 (define @t273 () (= @t64 @t66)) % 0.38/0.76 (define @t274 () (not @t273)) % 0.38/0.76 (define @t275 () (or @t189 @t274 @t272)) % 0.38/0.76 (define @t276 () (forall @t177 @t275)) % 0.38/0.76 (define @t277 () (not @t276)) % 0.38/0.76 (define @t278 () (not @t114)) % 0.38/0.76 (define @t279 () (= @t110 @t116)) % 0.38/0.76 (define @t280 () (not @t279)) % 0.38/0.76 (define @t281 () (= tptp.elec_2 @t117)) % 0.38/0.76 (define @t282 () (not @t281)) % 0.38/0.76 (define @t283 () (not @t119)) % 0.38/0.76 (define @t284 () (not @t121)) % 0.38/0.76 (define @t285 () (not @t122)) % 0.38/0.76 (define @t286 () (or @t188 @t285 @t284 @t283 @t282 @t280 @t278)) % 0.38/0.76 (define @t287 () (forall (@list @t115 @t112 @t108) @t286)) % 0.38/0.76 (define @t288 () (not @t287)) % 0.38/0.76 (define @t289 () (and @t288 @t277)) % 0.38/0.76 (define @t290 () (not @t129)) % 0.38/0.76 (define @t291 () (= tptp.elec_1 @t117)) % 0.38/0.76 (define @t292 () (not @t291)) % 0.38/0.76 (define @t293 () (not @t132)) % 0.38/0.76 (define @t294 () (= tptp.nbr_proc @t109)) % 0.38/0.76 (define @t295 () (not @t294)) % 0.38/0.76 (define @t296 () (= @t113 @t133)) % 0.38/0.76 (define @t297 () (not @t136)) % 0.38/0.76 (define @t298 () (or @t137 @t297 @t134 @t296)) % 0.38/0.76 (define @t299 () (forall @t141 @t298)) % 0.38/0.76 (define @t300 () (not @t299)) % 0.38/0.76 (define @t301 () (or @t300 @t285 @t295 @t293 @t292 @t189 @t290)) % 0.38/0.76 (define @t302 () (forall @t126 @t301)) % 0.38/0.76 (define @t303 () (not @t302)) % 0.38/0.76 (define @t304 () (not @t148)) % 0.38/0.76 (define @t305 () (or @t149 @t188 @t304 @t282 @t189 @t274 @t272)) % 0.38/0.76 (define @t306 () (forall @t153 @t305)) % 0.38/0.76 (define @t307 () (not @t306)) % 0.38/0.76 (define @t308 () (= tptp.elec_2 @t65)) % 0.38/0.76 (define @t309 () (not @t308)) % 0.38/0.76 (define @t310 () (or @t157 @t189 @t188 @t309 @t282 @t155)) % 0.38/0.76 (define @t311 () (forall @t161 @t310)) % 0.38/0.76 (define @t312 () (not @t311)) % 0.38/0.76 (define @t313 () (not @t164)) % 0.38/0.77 (define @t314 () (or @t189 @t188 @t313 @t309 @t282 @t163)) % 0.38/0.77 (define @t315 () (forall @t153 @t314)) % 0.38/0.77 (define @t316 () (not @t315)) % 0.38/0.77 (define @t317 () (or @t157 @t189 @t188 @t309 @t282 @t149)) % 0.38/0.77 (define @t318 () (forall @t161 @t317)) % 0.38/0.77 (define @t319 () (not @t318)) % 0.38/0.77 (define @t320 () (= @t64 @t113)) % 0.38/0.77 (define @t321 () (not @t320)) % 0.38/0.77 (define @t322 () (or @t188 @t285 @t321 @t189 @t274 @t272)) % 0.38/0.77 (define @t323 () (forall @t153 @t322)) % 0.38/0.77 (define @t324 () (not @t323)) % 0.38/0.77 (define @t325 () (= @t11 @t173)) % 0.38/0.77 (define @t326 () (= tptp.elec_1 @t65)) % 0.38/0.77 (define @t327 () (and (not @t326) @t309)) % 0.38/0.77 (define @t328 () (or @t327 @t189 @t325)) % 0.38/0.77 (define @t329 () (forall @t177 @t328)) % 0.38/0.77 (define @t330 () (not @t329)) % 0.38/0.77 (define @t331 () (or @t188 @t292 @t181)) % 0.38/0.77 (define @t332 () (forall @t161 @t331)) % 0.38/0.77 (define @t333 () (not @t332)) % 0.38/0.77 (define @t334 () (or @t188 @t181 @t185)) % 0.38/0.77 (define @t335 () (forall @t161 @t334)) % 0.38/0.77 (define @t336 () (not @t335)) % 0.38/0.77 (define @t337 () (= @t64 @t109)) % 0.38/0.77 (define @t338 () (not @t337)) % 0.38/0.77 (define @t339 () (= @t11 @t108)) % 0.38/0.77 (define @t340 () (or @t339 @t338 @t189 @t188)) % 0.38/0.77 (define @t341 () (forall @t161 @t340)) % 0.38/0.77 (define @t342 () (not @t341)) % 0.38/0.77 (define @t343 () (forall @t153 (or (not @t196) @t158))) % 0.38/0.77 (define @t344 () (not @t343)) % 0.38/0.77 (define @t345 () (forall @t161 (or (not @t198) @t158))) % 0.38/0.77 (define @t346 () (not @t345)) % 0.38/0.77 (define @t347 () (forall @t161 (or (not @t201) @t338))) % 0.38/0.77 (define @t348 () (not @t347)) % 0.38/0.77 (define @t349 () (forall @t161 (or (not @t204) @t158))) % 0.38/0.77 (define @t350 () (not @t349)) % 0.38/0.77 (define @t351 () (or @t350 @t348 @t346 @t344 @t342 @t336 @t333 @t330 @t324 @t319 @t316 @t312 @t307 @t303 @t289 @t276 @t270)) % 0.38/0.77 (define @t352 () (or @t350 @t348 @t346 @t344 @t342 @t336 @t333 @t330 @t324 @t319 @t316 @t312 @t307 @t303 @t289 @t276 @t269)) % 0.38/0.77 (define @t353 () (or @t350 @t348 @t346 @t344 @t342 @t336 @t333 @t330 @t324 @t319 @t316 @t312 @t307 @t303 @t289 @t238 @t230 @t237 @t229 @t227 @t94 @t268 @t276)) % 0.38/0.77 (define @t354 () (or @t230 @t237 @t229 @t227 @t94 @t268 @t276)) % 0.38/0.77 (define @t355 () (or @t237 @t229 @t227 @t94 @t268 @t276)) % 0.38/0.77 (define @t356 () (or @t94 @t268 @t276)) % 0.38/0.77 (define @t357 () (or @t237 @t229 @t227)) % 0.38/0.77 (define @t358 () (or @t268 @t276)) % 0.38/0.77 (define @t359 () (=> @t95 @t358)) % 0.38/0.77 (define @t360 () (and @t236 @t228 @t97)) % 0.38/0.77 (define @t361 () (=> @t360 @t359)) % 0.38/0.77 (define @t362 () (or @t287 @t276)) % 0.38/0.77 (define @t363 () (not @t362)) % 0.38/0.77 (define @t364 () (or @t350 @t348 @t346 @t344 @t342 @t336 @t333 @t330 @t324 @t319 @t316 @t312 @t307 @t303 @t363 @t238)) % 0.38/0.77 (define @t365 () (=> @t103 @t361)) % 0.38/0.77 (define @t366 () (and @t349 @t347 @t345 @t343 @t341 @t335 @t332 @t329 @t323 @t318 @t315 @t311 @t306 @t302 @t362 @t107)) % 0.38/0.77 (define @t367 () (or @t267 @t275)) % 0.38/0.77 (define @t368 () (@list @t76 @t74 @t70 @t11)) % 0.38/0.77 (define @t369 () (or @t266 @t86 @t264 @t263 @t262 @t261 @t260 @t258 @t256 @t189 @t274 @t272)) % 0.38/0.77 (define @t370 () (forall @t368 @t369)) % 0.38/0.77 (define @t371 () (or @t86 @t264 @t263 @t262 @t261 @t260 @t258 @t256 @t189 @t274 @t272)) % 0.38/0.77 (define @t372 () (or @t264 @t263 @t262 @t261 @t260 @t258 @t256 @t189 @t274 @t272)) % 0.38/0.77 (define @t373 () (or @t264 @t263 @t262 @t261 @t260 @t258 @t256)) % 0.38/0.77 (define @t374 () (not (and @t67 @t273 @t271))) % 0.38/0.77 (define @t375 () (and @t83 @t82 @t81 @t80 @t259 @t257 @t255)) % 0.38/0.77 (define @t376 () (=> @t375 @t374)) % 0.38/0.77 (define @t377 () (=> @t87 @t376)) % 0.38/0.77 (define @t378 () (or @t286 @t275)) % 0.38/0.77 (define @t379 () (@list @t115 @t112 @t108 @t11)) % 0.38/0.77 (define @t380 () (or @t188 @t285 @t284 @t283 @t282 @t280 @t278 @t189 @t274 @t272)) % 0.38/0.77 (define @t381 () (forall @t379 @t380)) % 0.38/0.77 (define @t382 () (and @t123 @t122 @t121 @t119 @t281 @t279 @t114)) % 0.38/0.77 (define @t383 () (or @t300 @t285 @t295 @t293 @t292)) % 0.38/0.77 (define @t384 () (and @t299 @t122 @t294 @t132 @t291)) % 0.38/0.77 (define @t385 () (or @t134 @t296)) % 0.38/0.77 (define @t386 () (not @t150)) % 0.38/0.77 (define @t387 () (or @t386 @t188 @t304 @t282)) % 0.38/0.77 (define @t388 () (and @t150 @t123 @t148 @t281)) % 0.38/0.77 (define @t389 () (or @t157 @t189 @t188 @t309 @t282)) % 0.38/0.77 (define @t390 () (not @t158)) % 0.38/0.77 (define @t391 () (or @t390 @t189 @t188 @t309 @t282)) % 0.38/0.77 (define @t392 () (or @t309 @t282)) % 0.38/0.77 (define @t393 () (not (and @t308 @t281))) % 0.38/0.77 (define @t394 () (and @t158 @t67 @t123 @t308 @t281)) % 0.38/0.77 (define @t395 () (not @t394)) % 0.38/0.77 (define @t396 () (or @t189 @t188 @t313 @t309 @t282)) % 0.38/0.77 (define @t397 () (and @t67 @t123 @t164 @t308 @t281)) % 0.38/0.77 (define @t398 () (or @t188 @t285 @t321)) % 0.38/0.77 (define @t399 () (and @t123 @t122 @t320)) % 0.38/0.77 (define @t400 () (or @t326 @t308)) % 0.38/0.77 (define @t401 () (and @t400 @t67)) % 0.38/0.77 (define @t402 () (and @t123 @t291)) % 0.38/0.77 (define @t403 () (not @t339)) % 0.38/0.77 (define @t404 () (and @t403 @t337)) % 0.38/0.77 (define @t405 () (@list true)) % 0.38/0.77 (define @t406 () (forall @t235 @t232)) % 0.38/0.77 (define @t407 () (@quantifiers_skolemize @t406 5)) % 0.38/0.77 (define @t408 () (tptp.host @t407)) % 0.38/0.77 (define @t409 () (tptp.queue @t408)) % 0.38/0.77 (define @t410 () (@quantifiers_skolemize @t406 4)) % 0.38/0.77 (define @t411 () (tptp.m_Down @t410)) % 0.38/0.77 (define @t412 () (tptp.elem @t411 @t409)) % 0.38/0.77 (define @t413 () (@quantifiers_skolemize @t406 1)) % 0.38/0.77 (define @t414 () (tptp.m_Halt @t413)) % 0.38/0.77 (define @t415 () (= @t411 @t414)) % 0.38/0.77 (define @t416 () (or @t415 @t412)) % 0.38/0.77 (define @t417 () (tptp.snoc @t409 @t414)) % 0.38/0.77 (define @t418 () (tptp.elem @t411 @t417)) % 0.38/0.77 (define @t419 () (forall @t47 (= @t48 @t49))) % 0.38/0.77 (define @t420 () (= @t416 @t418)) % 0.38/0.77 (define @t421 () (= @t418 @t416)) % 0.38/0.77 (define @t422 () (@list false)) % 0.38/0.77 (define @t423 () (@list @t419)) % 0.38/0.77 (define @t424 () (tptp.host @t410)) % 0.38/0.77 (define @t425 () (tptp.index tptp.pendack @t408)) % 0.38/0.77 (define @t426 () (tptp.s @t425)) % 0.38/0.77 (define @t427 () (= @t426 @t424)) % 0.38/0.77 (define @t428 () (not @t427)) % 0.38/0.77 (define @t429 () (@quantifiers_skolemize @t406 3)) % 0.38/0.77 (define @t430 () (= @t425 (tptp.host @t429))) % 0.38/0.77 (define @t431 () (not @t430)) % 0.38/0.77 (define @t432 () (= tptp.elec_2 (tptp.index tptp.status @t408))) % 0.38/0.77 (define @t433 () (not @t432)) % 0.38/0.77 (define @t434 () (tptp.m_Ack @t407 @t429)) % 0.38/0.77 (define @t435 () (tptp.elem @t434 @t417)) % 0.38/0.77 (define @t436 () (not @t435)) % 0.38/0.77 (define @t437 () (not @t418)) % 0.38/0.77 (define @t438 () (tptp.leq tptp.nbr_proc @t426)) % 0.38/0.77 (define @t439 () (not @t438)) % 0.38/0.77 (define @t440 () (tptp.setIn @t407 tptp.alive)) % 0.38/0.77 (define @t441 () (not @t440)) % 0.38/0.77 (define @t442 () (tptp.host @t413)) % 0.38/0.77 (define @t443 () (tptp.index tptp.pendack @t442)) % 0.38/0.77 (define @t444 () (@quantifiers_skolemize @t406 2)) % 0.38/0.77 (define @t445 () (or (not (= (tptp.queue @t442) (tptp.cons (tptp.m_Ack (tptp.index tptp.elid @t442) @t444) (@quantifiers_skolemize @t406 0)))) (not (tptp.setIn @t413 tptp.alive)) (not (= tptp.elec_2 (tptp.index tptp.status @t442))) (not (= (tptp.host @t444) @t443)) (tptp.leq tptp.nbr_proc @t443) (not (= (tptp.s @t443) @t408)) (= @t442 @t408) @t441 @t439 @t437 @t436 @t433 @t431 @t428)) % 0.38/0.77 (define @t446 () (@list @t445)) % 0.38/0.77 (define @t447 () (@list false false)) % 0.38/0.77 (define @t448 () (not (= @t414 @t411))) % 0.38/0.77 (define @t449 () (forall @t19 (not (= @t17 @t20)))) % 0.38/0.77 (define @t450 () (@list true false)) % 0.38/0.77 (define @t451 () (tptp.elem @t434 @t409)) % 0.38/0.77 (define @t452 () (= @t434 @t414)) % 0.38/0.77 (define @t453 () (or @t452 @t451)) % 0.38/0.77 (define @t454 () (= @t453 @t435)) % 0.38/0.77 (define @t455 () (= @t414 @t434)) % 0.38/0.77 (define @t456 () (or @t455 @t451)) % 0.38/0.77 (define @t457 () (= @t435 @t456)) % 0.38/0.77 (define @t458 () (not @t452)) % 0.38/0.77 (define @t459 () (not @t451)) % 0.38/0.77 (define @t460 () (not @t412)) % 0.38/0.77 (define @t461 () (or @t441 @t460 @t459 @t439 @t433 @t431 @t428)) % 0.38/0.77 (define @t462 () (not @t461)) % 0.38/0.77 (define @t463 () (not (= @t424 @t426))) % 0.38/0.77 (define @t464 () (or @t441 @t460 @t459 @t439 @t433 @t431 @t463)) % 0.38/0.77 (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))))) % 0.38/0.77 (assume @p2 (forall (@list @t7 @t5) (=> (= (tptp.s @t8) @t6) (not (= @t8 @t6))))) % 0.38/0.77 (assume @p3 (forall @t10 (tptp.leq @t9 @t8))) % 0.38/0.77 (assume @p4 (tptp.leq @t9 tptp.nbr_proc)) % 0.38/0.77 (assume @p5 (forall @t10 (tptp.leq @t8 tptp.nbr_proc))) % 0.38/0.77 (assume @p6 (not (= tptp.elec_1 tptp.elec_2))) % 0.38/0.77 (assume @p7 (not (= tptp.elec_1 tptp.wait))) % 0.38/0.77 (assume @p8 (not (= tptp.elec_1 tptp.norm))) % 0.38/0.77 (assume @p9 (not (= tptp.elec_2 tptp.wait))) % 0.38/0.77 (assume @p10 (not (= tptp.elec_2 tptp.norm))) % 0.38/0.77 (assume @p11 (not (= tptp.norm tptp.wait))) % 0.38/0.77 (assume @p12 @t16) % 0.38/0.77 (assume @p13 (forall @t15 (not (= @t14 (tptp.m_Down @t11))))) % 0.38/0.77 (assume @p14 (forall @t15 (not (= @t14 (tptp.m_NotNorm @t11))))) % 0.38/0.77 (assume @p15 (forall @t15 (not (= @t14 (tptp.m_Ldr @t11))))) % 0.38/0.77 (assume @p16 (forall @t15 (not (= @t14 (tptp.m_NormQ @t11))))) % 0.38/0.77 (assume @p17 (forall @t19 (not (= @t18 @t17)))) % 0.38/0.77 (assume @p18 @t22) % 0.38/0.77 (assume @p19 (forall @t19 (not (= @t20 @t23)))) % 0.38/0.77 (assume @p20 (forall @t19 (not (= @t20 @t24)))) % 0.38/0.77 (assume @p21 (forall @t19 (not (= @t20 @t25)))) % 0.38/0.77 (assume @p22 (forall @t19 (not (= @t26 @t17)))) % 0.38/0.77 (assume @p23 (forall @t19 (not (= @t27 @t17)))) % 0.38/0.77 (assume @p24 (forall @t19 (not (= @t27 @t25)))) % 0.38/0.77 (assume @p25 (forall @t19 (not (= @t27 @t24)))) % 0.38/0.77 (assume @p26 (forall @t19 (not (= @t26 @t24)))) % 0.38/0.77 (assume @p27 (forall @t19 (= @t30 (not (= @t28 @t17))))) % 0.38/0.77 (assume @p28 (forall @t19 (= @t30 (not (= @t26 @t25))))) % 0.38/0.77 (assume @p29 (forall @t19 (= @t30 (not (= @t18 @t24))))) % 0.38/0.77 (assume @p30 (forall @t19 (= @t30 (not (= @t27 @t23))))) % 0.38/0.77 (assume @p31 (forall @t19 (= @t30 (not (= @t20 @t31))))) % 0.38/0.77 (assume @p32 (forall @t37 (=> (not (= @t35 @t33)) @t36))) % 0.38/0.77 (assume @p33 (forall @t37 (=> (not (= @t34 @t32)) @t36))) % 0.38/0.77 (assume @p34 (forall @t4 (=> (not (= @t3 (tptp.host @t1))) (not (= @t2 @t1))))) % 0.38/0.77 (assume @p35 (not (tptp.setIn tptp.nil tptp.alive))) % 0.38/0.77 (assume @p36 (forall @t39 (= (tptp.head @t38) @t13))) % 0.38/0.77 (assume @p37 (forall @t39 (= (tptp.tail @t38) @t5))) % 0.38/0.77 (assume @p38 (forall @t41 (= (tptp.last @t40) @t12))) % 0.38/0.77 (assume @p39 (forall @t41 (= (tptp.init @t40) @t5))) % 0.38/0.77 (assume @p40 (forall @t43 (or @t42 (= @t5 (tptp.cons (tptp.head @t5) (tptp.tail @t5)))))) % 0.38/0.77 (assume @p41 (forall @t43 (or @t42 (= @t5 (tptp.snoc (tptp.init @t5) (tptp.last @t5)))))) % 0.38/0.77 (assume @p42 (forall @t39 (not (= tptp.q_nil @t38)))) % 0.38/0.77 (assume @p43 (forall @t41 (not (= tptp.q_nil @t40)))) % 0.38/0.77 (assume @p44 (forall @t46 (= @t45 @t44))) % 0.38/0.77 (assume @p45 (forall @t47 (= (tptp.snoc @t38 @t12) (tptp.cons @t13 @t40)))) % 0.38/0.77 (assume @p46 (forall @t46 (not (tptp.elem @t13 tptp.q_nil)))) % 0.38/0.77 (assume @p47 (forall @t47 (= (tptp.elem @t13 (tptp.cons @t12 @t5)) @t48))) % 0.38/0.77 (assume @p48 @t50) % 0.38/0.77 (assume @p49 (forall @t46 (= @t52 (exists @t51 (or (= @t13 @t17) (= @t13 @t31)))))) % 0.38/0.77 (assume @p50 (forall @t46 (= (tptp.pidMsg @t28) @t13))) % 0.38/0.77 (assume @p51 (forall @t46 (= (tptp.pidMsg @t20) @t13))) % 0.38/0.77 (assume @p52 (tptp.ordered tptp.q_nil)) % 0.38/0.77 (assume @p53 (forall @t46 (and (tptp.ordered @t45) (tptp.ordered @t44)))) % 0.38/0.77 (assume @p54 (forall @t39 (= (tptp.ordered @t38) (and @t56 (forall @t51 (=> @t55 (tptp.leq @t54 @t53))))))) % 0.38/0.77 (assume @p55 (forall @t39 (= (tptp.ordered (tptp.snoc @t5 @t13)) (and @t56 (forall @t51 (=> @t55 (tptp.leq @t53 @t54))))))) % 0.38/0.77 (assume @p56 (forall @t57 (=> @t56 (tptp.ordered (tptp.snoc @t5 @t14))))) % 0.38/0.77 (assume @p57 (forall (@list @t5 @t13) (=> @t56 (tptp.ordered (tptp.snoc @t5 @t27))))) % 0.38/0.77 (assume @p58 (forall @t57 (=> (and (tptp.ordered (tptp.cons @t28 @t5)) (= @t60 @t59) (tptp.elem @t31 @t5)) @t58))) % 0.38/0.77 (assume @p59 (forall @t46 (not (tptp.leq @t61 @t13)))) % 0.38/0.77 (assume @p60 (forall @t46 (tptp.leq @t13 @t13))) % 0.38/0.77 (assume @p61 (forall @t19 (or @t58 @t62))) % 0.38/0.77 (assume @p62 (forall @t19 (= (and @t58 @t62) @t29))) % 0.38/0.77 (assume @p63 (forall @t15 (=> (and @t58 (tptp.leq @t12 @t11)) (tptp.leq @t13 @t11)))) % 0.38/0.77 (assume @p64 (forall @t19 (= @t58 (tptp.leq @t61 @t63)))) % 0.38/0.77 (assume @p65 (forall @t19 (= (tptp.leq @t13 @t63) (or (= @t13 @t63) @t58)))) % 0.38/0.77 (assume @p66 (forall @t46 (not (tptp.setIn @t13 tptp.setEmpty)))) % 0.38/0.77 (assume @p67 @t210) % 0.38/0.77 (assume @p68 true) % 0.38/0.77 (step @p69 :rule aci_norm :args ((= (or @t231 @t230 false @t229 @t227 @t94 @t226 @t225 @t224 @t223 @t222 @t221 @t219 @t218 @t216) @t232))) % 0.38/0.77 (step @p70 :rule refl :args (@t216)) % 0.38/0.77 (step @p71 :rule refl :args (@t218)) % 0.38/0.77 (step @p72 :rule refl :args (@t219)) % 0.38/0.77 (step @p73 :rule refl :args (@t221)) % 0.38/0.77 (step @p74 :rule refl :args (@t222)) % 0.38/0.77 (step @p75 :rule refl :args (@t223)) % 0.38/0.77 (step @p76 :rule refl :args (@t224)) % 0.38/0.77 (step @p77 :rule refl :args (@t225)) % 0.38/0.77 (step @p78 :rule refl :args (@t226)) % 0.38/0.77 (step @p79 :rule refl :args (@t94)) % 0.38/0.77 (step @p80 :rule refl :args (@t227)) % 0.38/0.77 (step @p81 :rule refl :args (@t229)) % 0.38/0.77 (step @p82 :rule evaluate :args ((not true))) % 0.38/0.77 (step @p83 :rule eq-refl :args (@t100)) % 0.38/0.77 (step @p84 :rule cong :premises (@p83) :args (@t233)) % 0.38/0.77 (step @p85 :rule trans :premises (@p84 @p82)) % 0.38/0.77 (step @p86 :rule refl :args (@t230)) % 0.38/0.77 (step @p87 :rule refl :args (@t231)) % 0.38/0.77 (step @p88 :rule nary_cong :premises (@p87 @p86 @p85 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70) :args (@t234)) % 0.38/0.77 (step @p89 :rule trans :premises (@p88 @p69)) % 0.38/0.77 (step @p90 :rule cong :premises (@p89) :args ((forall @t235 @t234))) % 0.38/0.77 (step @p91 :rule quant-var-elim-eq :args ((= (forall @t240 @t239) @t234))) % 0.38/0.77 (step @p92 :rule aci_norm :args ((= @t241 @t239))) % 0.38/0.77 (step @p93 :rule cong :premises (@p92) :args (@t242)) % 0.38/0.77 (step @p94 :rule trans :premises (@p93 @p91)) % 0.38/0.77 (step @p95 :rule cong :premises (@p94) :args (@t243)) % 0.38/0.77 (step @p96 :rule quant-merge-prenex :args ((= @t243 @t244))) % 0.38/0.77 (step @p97 :rule symm :premises (@p96)) % 0.38/0.77 (step @p98 :rule quant_var_reordering :args ((= (forall @t245 @t241) @t244))) % 0.38/0.77 (step @p99 :rule trans :premises (@p98 @p97 @p95)) % 0.38/0.77 (step @p100 :rule trans :premises (@p99 @p90)) % 0.38/0.77 (step @p101 :rule eq-symm :args (@t213 @t90)) % 0.38/0.77 (step @p102 :rule cong :premises (@p101) :args (@t246)) % 0.38/0.77 (step @p103 :rule refl :args (@t237)) % 0.38/0.77 (step @p104 :rule refl :args (@t238)) % 0.38/0.77 (step @p105 :rule nary_cong :premises (@p104 @p86 @p103 @p81 @p80 @p79 @p102 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70) :args (@t247)) % 0.38/0.77 (step @p106 :rule aci_norm :args ((= @t249 @t247))) % 0.38/0.77 (step @p107 :rule trans :premises (@p106 @p105)) % 0.38/0.77 (step @p108 :rule cong :premises (@p107) :args (@t250)) % 0.38/0.77 (step @p109 :rule trans :premises (@p108 @p100)) % 0.38/0.77 (step @p110 :rule quant-merge-prenex :args ((= (forall @t208 @t252) @t250))) % 0.38/0.77 (step @p111 :rule alpha_equiv :args (@t253 (@list @t217 @t211 @t212) (@list @t76 @t74 @t70))) % 0.38/0.77 (step @p112 :rule refl :args (@t94)) % 0.38/0.77 (step @p113 :rule refl :args (@t227)) % 0.38/0.77 (step @p114 :rule refl :args (@t229)) % 0.38/0.77 (step @p115 :rule refl :args (@t237)) % 0.38/0.77 (step @p116 :rule refl :args (@t230)) % 0.38/0.77 (step @p117 :rule refl :args (@t238)) % 0.38/0.77 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115 @p114 @p113 @p112 @p111) :args (@t254)) % 0.38/0.77 (step @p119 :rule quant-miniscope-or :args ((= @t252 @t254))) % 0.38/0.77 (step @p120 :rule trans :premises (@p119 @p118)) % 0.38/0.77 (step @p121 :rule symm :premises (@p120)) % 0.38/0.77 (step @p122 :rule cong :premises (@p121) :args (@t270)) % 0.38/0.77 (step @p123 :rule trans :premises (@p122 @p110)) % 0.38/0.77 (step @p124 :rule trans :premises (@p123 @p109)) % 0.38/0.77 (step @p125 :rule refl :args (@t276)) % 0.38/0.77 (step @p126 :rule refl :args (@t289)) % 0.38/0.77 (step @p127 :rule refl :args (@t303)) % 0.38/0.77 (step @p128 :rule refl :args (@t307)) % 0.38/0.77 (step @p129 :rule refl :args (@t312)) % 0.38/0.77 (step @p130 :rule refl :args (@t316)) % 0.38/0.77 (step @p131 :rule refl :args (@t319)) % 0.38/0.77 (step @p132 :rule refl :args (@t324)) % 0.38/0.77 (step @p133 :rule refl :args (@t330)) % 0.38/0.77 (step @p134 :rule refl :args (@t333)) % 0.38/0.77 (step @p135 :rule refl :args (@t336)) % 0.38/0.77 (step @p136 :rule refl :args (@t342)) % 0.38/0.77 (step @p137 :rule refl :args (@t344)) % 0.38/0.77 (step @p138 :rule refl :args (@t346)) % 0.38/0.77 (step @p139 :rule refl :args (@t348)) % 0.38/0.77 (step @p140 :rule refl :args (@t350)) % 0.38/0.77 (step @p141 :rule nary_cong :premises (@p140 @p139 @p138 @p137 @p136 @p135 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124) :args (@t351)) % 0.38/0.77 (step @p142 :rule quant-miniscope-or :args ((= (forall @t208 @t352) @t351))) % 0.38/0.77 (step @p143 :rule aci_norm :args ((= @t353 @t352))) % 0.38/0.77 (step @p144 :rule cong :premises (@p143) :args ((forall @t208 @t353))) % 0.38/0.77 (step @p145 :rule trans :premises (@p144 @p142)) % 0.38/0.77 (step @p146 :rule trans :premises (@p145 @p141)) % 0.38/0.77 (step @p147 :rule aci_norm :args ((= (or (or @t350 @t348 @t346 @t344 @t342 @t336 @t333 @t330 @t324 @t319 @t316 @t312 @t307 @t303 @t289 @t238) @t354) @t353))) % 0.38/0.77 (step @p148 :rule aci_norm :args ((= (or @t230 @t355) @t354))) % 0.38/0.77 (step @p149 :rule aci_norm :args ((= (or @t357 @t356) @t355))) % 0.38/0.77 (step @p150 :rule aci_norm :args ((= (or @t94 @t358) @t356))) % 0.38/0.77 (step @p151 :rule refl :args (@t358)) % 0.38/0.77 (step @p152 :rule bool-double-not-elim :args (@t94)) % 0.38/0.77 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or (not @t95) @t358))) % 0.38/0.77 (step @p154 :rule bool-impl-elim :args (@t95 @t358)) % 0.38/0.77 (step @p155 :rule trans :premises (@p154 @p153)) % 0.38/0.77 (step @p156 :rule trans :premises (@p155 @p150)) % 0.38/0.77 (step @p157 :rule aci_norm :args ((= (or @t237 (or @t229 @t227)) @t357))) % 0.38/0.77 (step @p158 :rule bool-and-de-morgan :args (@t228 @t97 true)) % 0.38/0.77 (step @p159 :rule nary_cong :premises (@p115 @p158) :args ((or @t237 (not (and @t228 @t97))))) % 0.38/0.77 (step @p160 :rule bool-and-de-morgan :args (@t236 @t228 (and @t97))) % 0.38/0.77 (step @p161 :rule trans :premises (@p160 @p159)) % 0.38/0.77 (step @p162 :rule trans :premises (@p161 @p157)) % 0.38/0.77 (step @p163 :rule nary_cong :premises (@p162 @p156) :args ((or (not @t360) @t359))) % 0.38/0.77 (step @p164 :rule trans :premises (@p163 @p149)) % 0.38/0.77 (step @p165 :rule bool-impl-elim :args (@t360 @t359)) % 0.38/0.77 (step @p166 :rule trans :premises (@p165 @p164)) % 0.38/0.77 (step @p167 :rule nary_cong :premises (@p116 @p166) :args ((or @t230 @t361))) % 0.38/0.77 (step @p168 :rule trans :premises (@p167 @p148)) % 0.38/0.77 (step @p169 :rule bool-impl-elim :args (@t103 @t361)) % 0.38/0.77 (step @p170 :rule trans :premises (@p169 @p168)) % 0.38/0.77 (step @p171 :rule bool-or-de-morgan :args (@t287 @t276 false)) % 0.38/0.77 (step @p172 :rule refl :args (@t303)) % 0.38/0.77 (step @p173 :rule refl :args (@t307)) % 0.38/0.77 (step @p174 :rule refl :args (@t312)) % 0.38/0.77 (step @p175 :rule refl :args (@t316)) % 0.38/0.77 (step @p176 :rule refl :args (@t319)) % 0.38/0.77 (step @p177 :rule refl :args (@t324)) % 0.38/0.77 (step @p178 :rule refl :args (@t330)) % 0.38/0.77 (step @p179 :rule refl :args (@t333)) % 0.38/0.77 (step @p180 :rule refl :args (@t336)) % 0.38/0.77 (step @p181 :rule refl :args (@t342)) % 0.38/0.77 (step @p182 :rule refl :args (@t344)) % 0.38/0.77 (step @p183 :rule refl :args (@t346)) % 0.38/0.77 (step @p184 :rule refl :args (@t348)) % 0.38/0.77 (step @p185 :rule refl :args (@t350)) % 0.38/0.77 (step @p186 :rule nary_cong :premises (@p185 @p184 @p183 @p182 @p181 @p180 @p179 @p178 @p177 @p176 @p175 @p174 @p173 @p172 @p171 @p117) :args (@t364)) % 0.38/0.77 (step @p187 :rule aci_norm :args ((= (or @t350 (or @t348 (or @t346 (or @t344 (or @t342 (or @t336 (or @t333 (or @t330 (or @t324 (or @t319 (or @t316 (or @t312 (or @t307 (or @t303 (or @t363 @t238))))))))))))))) @t364))) % 0.38/0.77 (step @p188 :rule bool-and-de-morgan :args (@t362 @t107 true)) % 0.38/0.77 (step @p189 :rule nary_cong :premises (@p172 @p188) :args ((or @t303 (not (and @t362 @t107))))) % 0.38/0.77 (step @p190 :rule bool-and-de-morgan :args (@t302 @t362 (and @t107))) % 0.38/0.77 (step @p191 :rule trans :premises (@p190 @p189)) % 0.38/0.77 (step @p192 :rule nary_cong :premises (@p173 @p191) :args ((or @t307 (not (and @t302 @t362 @t107))))) % 0.38/0.77 (step @p193 :rule bool-and-de-morgan :args (@t306 @t302 (and @t362 @t107))) % 0.38/0.77 (step @p194 :rule trans :premises (@p193 @p192)) % 0.38/0.77 (step @p195 :rule nary_cong :premises (@p174 @p194) :args ((or @t312 (not (and @t306 @t302 @t362 @t107))))) % 0.38/0.77 (step @p196 :rule bool-and-de-morgan :args (@t311 @t306 (and @t302 @t362 @t107))) % 0.38/0.77 (step @p197 :rule trans :premises (@p196 @p195)) % 0.38/0.77 (step @p198 :rule nary_cong :premises (@p175 @p197) :args ((or @t316 (not (and @t311 @t306 @t302 @t362 @t107))))) % 0.38/0.77 (step @p199 :rule 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@p648 :rule refl :args (@t449)) % 0.38/0.77 (step @p649 :rule cong :premises (@p648 @p647) :args ((=> @t449 @t448))) % 0.38/0.77 (assume-push @p750 @t449) % 0.38/0.77 (step @p651 :rule instantiate :premises (@p645) :args ((@list @t410 @t413))) % 0.38/0.77 (step-pop @p751 :rule scope :premises (@p651)) % 0.38/0.77 (step @p652 :rule process_scope :premises (@p751) :args (@t448)) % 0.38/0.77 (step @p654 :rule eq_resolve :premises (@p652 @p649)) % 0.38/0.77 (step @p655 :rule implies_elim :premises (@p654)) % 0.38/0.77 (step @p656 :rule chain_m_resolution :premises (@p655 @p645) :args ((not @t415) @t422 (@list @t449))) % 0.38/0.77 (step @p657 :rule cnf_or_pos :args (@t416)) % 0.38/0.77 (step @p658 :rule reordering :premises (@p657) :args ((or @t415 @t412 (not @t416)))) % 0.38/0.77 (step @p659 :rule chain_m_resolution :premises (@p658 @p656 @p641) :args (@t412 @t450 (@list @t415 @t416))) % 0.38/0.77 (step @p660 :rule refl :args (@t451)) % 0.38/0.77 (step @p661 :rule eq-symm :args (@t434 @t414)) % 0.38/0.77 (step @p662 :rule nary_cong :premises (@p661 @p660) :args (@t453)) % 0.38/0.77 (step @p663 :rule refl :args (@t435)) % 0.38/0.77 (step @p664 :rule cong :premises (@p663 @p662) :args ((= @t435 @t453))) % 0.38/0.77 (step @p665 :rule eq-symm :args (@t453 @t435)) % 0.38/0.77 (step @p666 :rule trans :premises (@p665 @p664)) % 0.38/0.77 (step @p667 :rule cong :premises (@p621 @p666) :args ((=> @t419 @t454))) % 0.38/0.77 (assume-push @p752 @t419) % 0.38/0.77 (step @p669 :rule instantiate :premises (@p619) :args ((@list @t434 @t414 @t409))) % 0.38/0.77 (step-pop @p753 :rule scope :premises (@p669)) % 0.38/0.77 (step @p670 :rule process_scope :premises (@p753) :args (@t454)) % 0.38/0.77 (step @p672 :rule eq_resolve :premises (@p670 @p667)) % 0.38/0.77 (step @p673 :rule implies_elim :premises (@p672)) % 0.38/0.77 (step @p674 :rule chain_m_resolution :premises (@p673 @p619) :args (@t457 @t422 @t423)) % 0.38/0.77 (step @p675 :rule bool-double-not-elim :args (@t435)) % 0.38/0.77 (step @p676 :rule nary_cong :premises (@p633 @p675) :args ((or @t445 (not @t436)))) % 0.38/0.77 (step @p677 :rule cnf_or_neg :args (@t445 10)) % 0.38/0.77 (step @p678 :rule eq_resolve :premises (@p677 @p676)) % 0.38/0.77 (step @p679 :rule reordering :premises (@p678) :args ((or @t435 @t445))) % 0.38/0.77 (step @p680 :rule chain_m_resolution :premises (@p679 @p631) :args (@t435 @t405 @t446)) % 0.38/0.77 (step @p681 :rule cnf_equiv_pos1 :args (@t457)) % 0.38/0.77 (step @p682 :rule reordering :premises (@p681) :args ((or @t436 @t456 (not @t457)))) % 0.38/0.77 (step @p683 :rule chain_m_resolution :premises (@p682 @p680 @p674) :args (@t456 @t447 (@list @t435 @t457))) % 0.38/0.77 (step @p684 :rule cong :premises (@p661) :args (@t458)) % 0.38/0.77 (step @p685 :rule refl :args (@t16)) % 0.38/0.77 (step @p686 :rule cong :premises (@p685 @p684) :args ((=> @t16 @t458))) % 0.38/0.77 (assume-push @p754 @t16) % 0.38/0.77 (step @p688 :rule instantiate :premises (@p12) :args ((@list @t407 @t429 @t413))) % 0.38/0.77 (step-pop @p755 :rule scope :premises (@p688)) % 0.38/0.77 (step @p689 :rule process_scope :premises (@p755) :args (@t458)) % 0.38/0.77 (step @p691 :rule eq_resolve :premises (@p689 @p686)) % 0.38/0.77 (step @p692 :rule implies_elim :premises (@p691)) % 0.38/0.77 (step @p693 :rule chain_m_resolution :premises (@p692 @p12) :args ((not @t455) @t422 (@list @t16))) % 0.38/0.77 (step @p694 :rule cnf_or_pos :args (@t456)) % 0.38/0.77 (step @p695 :rule reordering :premises (@p694) :args ((or @t451 @t455 (not @t456)))) % 0.38/0.77 (step @p696 :rule chain_m_resolution :premises (@p695 @p693 @p683) :args (@t451 @t450 (@list @t455 @t456))) % 0.38/0.77 (step @p697 :rule bool-double-not-elim :args (@t427)) % 0.38/0.77 (step @p698 :rule nary_cong :premises (@p633 @p697) :args ((or @t445 (not @t428)))) % 0.38/0.77 (step @p699 :rule cnf_or_neg :args (@t445 13)) % 0.38/0.77 (step @p700 :rule eq_resolve :premises (@p699 @p698)) % 0.38/0.77 (step @p701 :rule reordering :premises (@p700) :args ((or @t427 @t445))) % 0.38/0.77 (step @p702 :rule chain_m_resolution :premises (@p701 @p631) :args (@t427 @t405 @t446)) % 0.38/0.77 (step @p703 :rule bool-double-not-elim :args (@t430)) % 0.38/0.77 (step @p704 :rule nary_cong :premises (@p633 @p703) :args ((or @t445 (not @t431)))) % 0.38/0.77 (step @p705 :rule cnf_or_neg :args (@t445 12)) % 0.38/0.77 (step @p706 :rule eq_resolve :premises (@p705 @p704)) % 0.38/0.77 (step @p707 :rule reordering :premises (@p706) :args ((or @t430 @t445))) % 0.38/0.77 (step @p708 :rule chain_m_resolution :premises (@p707 @p631) :args (@t430 @t405 @t446)) % 0.38/0.77 (step @p709 :rule bool-double-not-elim :args (@t432)) % 0.38/0.77 (step @p710 :rule nary_cong :premises (@p633 @p709) :args ((or @t445 (not @t433)))) % 0.38/0.77 (step @p711 :rule cnf_or_neg :args (@t445 11)) % 0.38/0.77 (step @p712 :rule eq_resolve :premises (@p711 @p710)) % 0.38/0.77 (step @p713 :rule reordering :premises (@p712) :args ((or @t432 @t445))) % 0.38/0.77 (step @p714 :rule chain_m_resolution :premises (@p713 @p631) :args (@t432 @t405 @t446)) % 0.38/0.77 (step @p715 :rule bool-double-not-elim :args (@t438)) % 0.38/0.77 (step @p716 :rule nary_cong :premises (@p633 @p715) :args ((or @t445 (not @t439)))) % 0.38/0.77 (step @p717 :rule cnf_or_neg :args (@t445 8)) % 0.38/0.77 (step @p718 :rule eq_resolve :premises (@p717 @p716)) % 0.38/0.77 (step @p719 :rule reordering :premises (@p718) :args ((or @t438 @t445))) % 0.38/0.77 (step @p720 :rule chain_m_resolution :premises (@p719 @p631) :args (@t438 @t405 @t446)) % 0.38/0.77 (step @p721 :rule bool-double-not-elim :args (@t440)) % 0.38/0.77 (step @p722 :rule nary_cong :premises (@p633 @p721) :args ((or @t445 (not @t441)))) % 0.38/0.77 (step @p723 :rule cnf_or_neg :args (@t445 7)) % 0.38/0.77 (step @p724 :rule eq_resolve :premises (@p723 @p722)) % 0.38/0.77 (step @p725 :rule reordering :premises (@p724) :args ((or @t440 @t445))) % 0.38/0.77 (step @p726 :rule chain_m_resolution :premises (@p725 @p631) :args (@t440 @t405 @t446)) % 0.38/0.77 (step @p727 :rule cnf_or_pos :args (@t461)) % 0.38/0.77 (step @p728 :rule reordering :premises (@p727) :args ((or @t441 @t439 @t433 @t431 @t428 @t459 @t460 @t462))) % 0.38/0.77 (step @p729 :rule chain_m_resolution :premises (@p728 @p726 @p720 @p714 @p708 @p702 @p696 @p659) :args (@t462 (@list false false false false false false false) (@list @t440 @t438 @t432 @t430 @t427 @t451 @t412))) % 0.38/0.77 (step @p730 :rule eq-symm :args (@t424 @t426)) % 0.38/0.77 (step @p731 :rule cong :premises (@p730) :args (@t463)) % 0.38/0.77 (step @p732 :rule refl :args (@t431)) % 0.38/0.77 (step @p733 :rule refl :args (@t433)) % 0.38/0.77 (step @p734 :rule refl :args (@t439)) % 0.38/0.77 (step @p735 :rule refl :args (@t459)) % 0.38/0.77 (step @p736 :rule refl :args (@t460)) % 0.38/0.77 (step @p737 :rule refl :args (@t441)) % 0.38/0.77 (step @p738 :rule nary_cong :premises (@p737 @p736 @p735 @p734 @p733 @p732 @p731) :args (@t464)) % 0.38/0.77 (step @p739 :rule refl :args (@t287)) % 0.38/0.77 (step @p740 :rule cong :premises (@p739 @p738) :args ((=> @t287 @t464))) % 0.38/0.77 (assume-push @p756 @t287) % 0.38/0.77 (step @p742 :rule instantiate :premises (@p616) :args ((@list @t429 @t410 @t407))) % 0.38/0.77 (step-pop @p757 :rule scope :premises (@p742)) % 0.38/0.77 (step @p743 :rule process_scope :premises (@p757) :args (@t464)) % 0.38/0.77 (step @p745 :rule eq_resolve :premises (@p743 @p740)) % 0.38/0.77 (step @p746 :rule implies_elim :premises (@p745)) % 0.38/0.77 (step @p747 false :rule chain_m_resolution :premises (@p746 @p729 @p616) :args (false @t450 (@list @t461 @t287))) % 0.38/0.77 ) % 0.38/0.77 % SZS output end Proof % 0.38/0.77 % cvc5 exiting %------------------------------------------------------------------------------