%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV450+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 : n005.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 0.44s 0.68s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV450+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 20:19:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.68 % SZS status Theorem % 0.44/0.68 % SZS output start Proof % 0.44/0.68 ( % 0.44/0.68 (declare-sort $$unsorted 0) % 0.44/0.68 (declare-const tptp.status $$unsorted) % 0.44/0.68 (declare-const tptp.index (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.acks $$unsorted) % 0.44/0.68 (declare-const tptp.ordered (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.pidMsg (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.elec_1 $$unsorted) % 0.44/0.68 (declare-const tptp.zero $$unsorted) % 0.44/0.68 (declare-const tptp.elem (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.m_Ack (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.setEmpty $$unsorted) % 0.44/0.68 (declare-const tptp.elec_2 $$unsorted) % 0.44/0.68 (declare-const tptp.queue (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.nbr_proc $$unsorted) % 0.44/0.68 (declare-const tptp.elid $$unsorted) % 0.44/0.68 (declare-const tptp.setIn (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.wait $$unsorted) % 0.44/0.68 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.pendack $$unsorted) % 0.44/0.68 (declare-const tptp.norm $$unsorted) % 0.44/0.68 (declare-const tptp.m_Ldr (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.host (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.pids $$unsorted) % 0.44/0.68 (declare-const tptp.pidElem (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.m_Down (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.last (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.m_NotNorm (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.m_Halt (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.alive $$unsorted) % 0.44/0.68 (declare-const tptp.nil $$unsorted) % 0.44/0.68 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.snoc (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.init (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.m_NormQ (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.q_nil $$unsorted) % 0.44/0.68 (define @t1 () (@var "Pid2" $$unsorted)) % 0.44/0.68 (define @t2 () (@var "Pid" $$unsorted)) % 0.44/0.68 (define @t3 () (tptp.host @t2)) % 0.44/0.68 (define @t4 () (@list @t2 @t1)) % 0.44/0.68 (define @t5 () (@var "Q" $$unsorted)) % 0.44/0.68 (define @t6 () (tptp.host @t5)) % 0.44/0.68 (define @t7 () (@var "P" $$unsorted)) % 0.44/0.68 (define @t8 () (tptp.host @t7)) % 0.44/0.68 (define @t9 () (tptp.s tptp.zero)) % 0.44/0.68 (define @t10 () (@list @t7)) % 0.44/0.68 (define @t11 () (@var "Z" $$unsorted)) % 0.44/0.68 (define @t12 () (@var "Y" $$unsorted)) % 0.44/0.68 (define @t13 () (@var "X" $$unsorted)) % 0.44/0.68 (define @t14 () (tptp.m_Ack @t13 @t12)) % 0.44/0.68 (define @t15 () (@list @t13 @t12 @t11)) % 0.44/0.68 (define @t16 () (tptp.m_Halt @t12)) % 0.44/0.68 (define @t17 () (tptp.m_NotNorm @t13)) % 0.44/0.68 (define @t18 () (@list @t13 @t12)) % 0.44/0.68 (define @t19 () (tptp.m_Down @t13)) % 0.44/0.68 (define @t20 () (tptp.m_Ldr @t12)) % 0.44/0.68 (define @t21 () (tptp.m_NotNorm @t12)) % 0.44/0.68 (define @t22 () (tptp.m_NormQ @t12)) % 0.44/0.68 (define @t23 () (tptp.m_NormQ @t13)) % 0.44/0.68 (define @t24 () (tptp.m_Ldr @t13)) % 0.44/0.68 (define @t25 () (tptp.m_Halt @t13)) % 0.44/0.68 (define @t26 () (= @t13 @t12)) % 0.44/0.68 (define @t27 () (not @t26)) % 0.44/0.68 (define @t28 () (tptp.m_Down @t12)) % 0.44/0.68 (define @t29 () (@var "Y2" $$unsorted)) % 0.44/0.68 (define @t30 () (@var "X2" $$unsorted)) % 0.44/0.68 (define @t31 () (@var "Y1" $$unsorted)) % 0.44/0.68 (define @t32 () (@var "X1" $$unsorted)) % 0.44/0.68 (define @t33 () (not (= (tptp.m_Ack @t32 @t31) (tptp.m_Ack @t30 @t29)))) % 0.44/0.68 (define @t34 () (@list @t32 @t30 @t31 @t29)) % 0.44/0.68 (define @t35 () (tptp.cons @t13 @t5)) % 0.44/0.68 (define @t36 () (@list @t13 @t5)) % 0.44/0.68 (define @t37 () (tptp.snoc @t5 @t12)) % 0.44/0.68 (define @t38 () (@list @t12 @t5)) % 0.44/0.68 (define @t39 () (= @t5 tptp.q_nil)) % 0.44/0.68 (define @t40 () (@list @t5)) % 0.44/0.68 (define @t41 () (tptp.snoc tptp.q_nil @t13)) % 0.44/0.68 (define @t42 () (tptp.cons @t13 tptp.q_nil)) % 0.44/0.68 (define @t43 () (@list @t13)) % 0.44/0.68 (define @t44 () (@list @t13 @t12 @t5)) % 0.44/0.68 (define @t45 () (or @t26 (tptp.elem @t13 @t5))) % 0.44/0.68 (define @t46 () (forall @t44 (= (tptp.elem @t13 (tptp.cons @t12 @t5)) @t45))) % 0.44/0.68 (define @t47 () (tptp.elem @t13 @t37)) % 0.44/0.68 (define @t48 () (forall @t44 (= @t47 @t45))) % 0.44/0.68 (define @t49 () (@list @t12)) % 0.44/0.68 (define @t50 () (tptp.pidElem @t13)) % 0.44/0.68 (define @t51 () (tptp.pidMsg @t12)) % 0.44/0.68 (define @t52 () (tptp.pidMsg @t13)) % 0.44/0.68 (define @t53 () (and (tptp.elem @t12 @t5) @t50 (tptp.pidElem @t12) (= (tptp.host @t51) (tptp.host @t52)))) % 0.44/0.68 (define @t54 () (tptp.ordered @t5)) % 0.44/0.68 (define @t55 () (@list @t5 @t13 @t12)) % 0.44/0.68 (define @t56 () (tptp.leq @t13 @t12)) % 0.44/0.68 (define @t57 () (tptp.host @t12)) % 0.44/0.68 (define @t58 () (tptp.host @t13)) % 0.44/0.68 (define @t59 () (tptp.s @t13)) % 0.44/0.68 (define @t60 () (tptp.leq @t12 @t13)) % 0.44/0.68 (define @t61 () (tptp.s @t12)) % 0.44/0.68 (define @t62 () (@var "X0" $$unsorted)) % 0.44/0.68 (define @t63 () (tptp.host @t62)) % 0.44/0.68 (define @t64 () (@var "W0" $$unsorted)) % 0.44/0.68 (define @t65 () (tptp.elem (tptp.m_Down @t64) (tptp.snoc (tptp.queue @t63) @t24))) % 0.44/0.68 (define @t66 () (@var "V" $$unsorted)) % 0.44/0.68 (define @t67 () (@var "Y0" $$unsorted)) % 0.44/0.68 (define @t68 () (tptp.elem (tptp.m_Down @t67) @t66)) % 0.44/0.68 (define @t69 () (not (and @t68 @t65))) % 0.44/0.68 (define @t70 () (tptp.host @t67)) % 0.44/0.68 (define @t71 () (@var "V0" $$unsorted)) % 0.44/0.68 (define @t72 () (tptp.host @t71)) % 0.44/0.68 (define @t73 () (tptp.host @t64)) % 0.44/0.68 (define @t74 () (tptp.setIn @t62 tptp.alive)) % 0.44/0.68 (define @t75 () (tptp.setIn @t71 tptp.alive)) % 0.44/0.68 (define @t76 () (not (= @t63 @t72))) % 0.44/0.68 (define @t77 () (and @t76 @t75 @t74 (= @t73 @t72) (= @t70 @t63))) % 0.44/0.68 (define @t78 () (=> @t77 @t69)) % 0.44/0.68 (define @t79 () (@list @t67)) % 0.44/0.68 (define @t80 () (forall @t79 @t78)) % 0.44/0.68 (define @t81 () (= @t58 @t63)) % 0.44/0.68 (define @t82 () (not @t81)) % 0.44/0.68 (define @t83 () (=> @t82 @t80)) % 0.44/0.68 (define @t84 () (tptp.host @t11)) % 0.44/0.68 (define @t85 () (= @t84 @t63)) % 0.44/0.68 (define @t86 () (=> @t85 @t83)) % 0.44/0.68 (define @t87 () (@list @t64 @t62)) % 0.44/0.68 (define @t88 () (forall @t87 @t86)) % 0.44/0.68 (define @t89 () (= @t58 @t72)) % 0.44/0.68 (define @t90 () (=> @t89 @t88)) % 0.44/0.68 (define @t91 () (= @t84 @t72)) % 0.44/0.68 (define @t92 () (not @t91)) % 0.44/0.68 (define @t93 () (=> @t92 @t90)) % 0.44/0.68 (define @t94 () (@list @t71)) % 0.44/0.68 (define @t95 () (forall @t94 @t93)) % 0.44/0.68 (define @t96 () (tptp.index tptp.acks @t58)) % 0.44/0.68 (define @t97 () (tptp.setIn @t84 @t96)) % 0.44/0.68 (define @t98 () (or @t97 (= @t84 @t57))) % 0.44/0.68 (define @t99 () (=> @t98 @t95)) % 0.44/0.68 (define @t100 () (@list @t11)) % 0.44/0.68 (define @t101 () (forall @t100 @t99)) % 0.44/0.68 (define @t102 () (tptp.index tptp.pendack @t58)) % 0.44/0.68 (define @t103 () (tptp.leq tptp.nbr_proc @t102)) % 0.44/0.68 (define @t104 () (=> @t103 @t101)) % 0.44/0.68 (define @t105 () (= @t57 @t102)) % 0.44/0.68 (define @t106 () (tptp.index tptp.status @t58)) % 0.44/0.68 (define @t107 () (@var "W" $$unsorted)) % 0.44/0.68 (define @t108 () (tptp.index tptp.elid @t58)) % 0.44/0.68 (define @t109 () (and (= @t108 @t107) (= @t106 tptp.elec_2) @t105)) % 0.44/0.68 (define @t110 () (=> @t109 @t104)) % 0.44/0.68 (define @t111 () (tptp.setIn @t13 tptp.alive)) % 0.44/0.68 (define @t112 () (=> @t111 @t110)) % 0.44/0.68 (define @t113 () (tptp.queue @t58)) % 0.44/0.68 (define @t114 () (= @t113 (tptp.cons (tptp.m_Ack @t107 @t12) @t66))) % 0.44/0.68 (define @t115 () (@var "Pid20" $$unsorted)) % 0.44/0.68 (define @t116 () (tptp.host @t115)) % 0.44/0.68 (define @t117 () (tptp.queue @t116)) % 0.44/0.68 (define @t118 () (@var "Pid30" $$unsorted)) % 0.44/0.68 (define @t119 () (tptp.elem (tptp.m_Down @t118) @t117)) % 0.44/0.68 (define @t120 () (tptp.queue @t84)) % 0.44/0.68 (define @t121 () (@var "Pid0" $$unsorted)) % 0.44/0.68 (define @t122 () (tptp.elem (tptp.m_Down @t121) @t120)) % 0.44/0.68 (define @t123 () (not (and @t122 @t119))) % 0.44/0.68 (define @t124 () (tptp.host @t121)) % 0.44/0.68 (define @t125 () (= @t124 @t116)) % 0.44/0.68 (define @t126 () (tptp.host @t118)) % 0.44/0.68 (define @t127 () (tptp.setIn @t115 tptp.alive)) % 0.44/0.68 (define @t128 () (tptp.setIn @t11 tptp.alive)) % 0.44/0.68 (define @t129 () (not (= @t116 @t84))) % 0.44/0.68 (define @t130 () (and @t129 @t128 @t127 (= @t126 @t84) @t125)) % 0.44/0.68 (define @t131 () (=> @t130 @t123)) % 0.44/0.68 (define @t132 () (@list @t11 @t118 @t115 @t121)) % 0.44/0.68 (define @t133 () (forall @t132 @t131)) % 0.44/0.68 (define @t134 () (tptp.setIn @t121 tptp.alive)) % 0.44/0.68 (define @t135 () (not @t134)) % 0.44/0.68 (define @t136 () (not @t128)) % 0.44/0.68 (define @t137 () (or @t136 @t135)) % 0.44/0.68 (define @t138 () (= @t124 @t84)) % 0.44/0.68 (define @t139 () (not (= @t121 @t11))) % 0.44/0.68 (define @t140 () (and @t139 @t138)) % 0.44/0.68 (define @t141 () (=> @t140 @t137)) % 0.44/0.68 (define @t142 () (@list @t11 @t121)) % 0.44/0.68 (define @t143 () (forall @t142 @t141)) % 0.44/0.68 (define @t144 () (tptp.leq @t121 @t11)) % 0.44/0.68 (define @t145 () (and @t136 @t144 @t138)) % 0.44/0.68 (define @t146 () (=> @t145 @t135)) % 0.44/0.68 (define @t147 () (forall @t142 @t146)) % 0.44/0.68 (define @t148 () (not (tptp.leq @t84 @t124))) % 0.44/0.68 (define @t149 () (tptp.elem (tptp.m_Ack @t121 @t11) @t117)) % 0.44/0.68 (define @t150 () (@list @t11 @t115 @t121)) % 0.44/0.68 (define @t151 () (forall @t150 (=> @t149 @t148))) % 0.44/0.68 (define @t152 () (tptp.elem (tptp.m_Halt @t121) @t120)) % 0.44/0.68 (define @t153 () (forall @t142 (=> @t152 @t148))) % 0.44/0.68 (define @t154 () (not @t138)) % 0.44/0.68 (define @t155 () (=> @t122 @t154)) % 0.44/0.68 (define @t156 () (forall @t142 @t155)) % 0.44/0.68 (define @t157 () (forall @t142 (=> @t122 @t135))) % 0.44/0.68 (define @t158 () (not @t122)) % 0.44/0.68 (define @t159 () (forall @t142 (=> @t134 @t158))) % 0.44/0.68 (define @t160 () (and @t159 @t157 @t156 @t153 @t151 @t147 @t143 @t133 @t114)) % 0.44/0.68 (define @t161 () (=> @t160 @t112)) % 0.44/0.68 (define @t162 () (@list @t66 @t107 @t13 @t12)) % 0.44/0.68 (define @t163 () (forall @t162 @t161)) % 0.44/0.68 (define @t164 () (not @t163)) % 0.44/0.68 (define @t165 () (@var "BOUND_VARIABLE_8309" $$unsorted)) % 0.44/0.68 (define @t166 () (not (tptp.elem (tptp.m_Down @t165) @t66))) % 0.44/0.68 (define @t167 () (@var "BOUND_VARIABLE_8307" $$unsorted)) % 0.44/0.68 (define @t168 () (tptp.host @t167)) % 0.44/0.68 (define @t169 () (not (= @t168 (tptp.host @t165)))) % 0.44/0.68 (define @t170 () (@var "BOUND_VARIABLE_8305" $$unsorted)) % 0.44/0.68 (define @t171 () (not (tptp.elem (tptp.m_Down @t170) (tptp.snoc (tptp.queue @t168) @t24)))) % 0.44/0.68 (define @t172 () (not (tptp.setIn @t167 tptp.alive))) % 0.44/0.68 (define @t173 () (@var "BOUND_VARIABLE_8303" $$unsorted)) % 0.44/0.68 (define @t174 () (tptp.host @t173)) % 0.44/0.68 (define @t175 () (= @t174 @t168)) % 0.44/0.68 (define @t176 () (= @t58 @t168)) % 0.44/0.68 (define @t177 () (@var "BOUND_VARIABLE_8301" $$unsorted)) % 0.44/0.68 (define @t178 () (tptp.host @t177)) % 0.44/0.68 (define @t179 () (not (= @t178 @t168))) % 0.44/0.68 (define @t180 () (not (= @t174 (tptp.host @t170)))) % 0.44/0.68 (define @t181 () (not (tptp.setIn @t173 tptp.alive))) % 0.44/0.68 (define @t182 () (not (= @t58 @t174))) % 0.44/0.68 (define @t183 () (= @t178 @t174)) % 0.44/0.68 (define @t184 () (and (not (tptp.setIn @t178 @t96)) (not (= @t57 @t178)))) % 0.44/0.68 (define @t185 () (not @t103)) % 0.44/0.68 (define @t186 () (not @t105)) % 0.44/0.68 (define @t187 () (= tptp.elec_2 @t106)) % 0.44/0.68 (define @t188 () (not @t187)) % 0.44/0.68 (define @t189 () (not @t111)) % 0.44/0.68 (define @t190 () (not (= @t113 (tptp.cons (tptp.m_Ack @t108 @t12) @t66)))) % 0.44/0.68 (define @t191 () (or @t190 @t189 @t188 @t186 @t185 @t184 @t183 @t182 @t181 @t180 @t179 @t176 @t175 @t172 @t171 @t169 @t166)) % 0.44/0.68 (define @t192 () (@list @t66 @t13 @t12 @t177 @t173 @t170 @t167 @t165)) % 0.44/0.68 (define @t193 () (forall @t192 @t191)) % 0.44/0.68 (define @t194 () (@quantifiers_skolemize @t193 0)) % 0.44/0.68 (define @t195 () (@quantifiers_skolemize @t193 7)) % 0.44/0.68 (define @t196 () (tptp.m_Down @t195)) % 0.44/0.68 (define @t197 () (tptp.elem @t196 @t194)) % 0.44/0.68 (define @t198 () (@quantifiers_skolemize @t193 2)) % 0.44/0.68 (define @t199 () (@quantifiers_skolemize @t193 1)) % 0.44/0.68 (define @t200 () (tptp.host @t199)) % 0.44/0.68 (define @t201 () (tptp.m_Ack (tptp.index tptp.elid @t200) @t198)) % 0.44/0.68 (define @t202 () (or (= @t196 @t201) @t197)) % 0.44/0.68 (define @t203 () (tptp.cons @t201 @t194)) % 0.44/0.68 (define @t204 () (tptp.elem @t196 @t203)) % 0.44/0.68 (define @t205 () (= @t204 @t202)) % 0.44/0.68 (define @t206 () (or (= @t201 @t196) @t197)) % 0.44/0.68 (define @t207 () (= @t204 @t206)) % 0.44/0.68 (define @t208 () (@list false)) % 0.44/0.68 (define @t209 () (not (= @t108 @t108))) % 0.44/0.68 (define @t210 () (or @t190 @t189 @t209 @t188 @t186 @t185 @t184 @t183 @t182 @t181 @t180 @t179 @t176 @t175 @t172 @t171 @t169 @t166)) % 0.44/0.68 (define @t211 () (= @t107 @t108)) % 0.44/0.68 (define @t212 () (not @t211)) % 0.44/0.68 (define @t213 () (not @t114)) % 0.44/0.68 (define @t214 () (or @t212 @t213 @t189 @t212 @t188 @t186 @t185 @t184 @t183 @t182 @t181 @t180 @t179 @t176 @t175 @t172 @t171 @t169 @t166)) % 0.44/0.68 (define @t215 () (@list @t107)) % 0.44/0.68 (define @t216 () (or @t213 @t189 @t212 @t188 @t186 @t185 @t184 @t183 @t182 @t181 @t180 @t179 @t176 @t175 @t172 @t171 @t169 @t166)) % 0.44/0.68 (define @t217 () (forall @t215 @t216)) % 0.44/0.68 (define @t218 () (forall @t192 @t217)) % 0.44/0.68 (define @t219 () (forall (@list @t66 @t13 @t12 @t177 @t173 @t170 @t167 @t165 @t107) @t216)) % 0.44/0.68 (define @t220 () (@list @t66 @t107 @t13 @t12 @t177 @t173 @t170 @t167 @t165)) % 0.44/0.68 (define @t221 () (or @t184 @t183 @t182 @t181 @t180 @t179 @t176 @t175 @t172 @t171 @t169 @t166)) % 0.44/0.68 (define @t222 () (or @t213 @t189 @t212 @t188 @t186 @t185 @t221)) % 0.44/0.68 (define @t223 () (forall @t220 @t222)) % 0.44/0.68 (define @t224 () (@list @t177 @t173 @t170 @t167 @t165)) % 0.44/0.68 (define @t225 () (forall @t224 @t222)) % 0.44/0.68 (define @t226 () (forall @t224 @t221)) % 0.44/0.68 (define @t227 () (@var "BOUND_VARIABLE_8235" $$unsorted)) % 0.44/0.68 (define @t228 () (@var "BOUND_VARIABLE_8233" $$unsorted)) % 0.44/0.68 (define @t229 () (@var "BOUND_VARIABLE_8231" $$unsorted)) % 0.44/0.68 (define @t230 () (@var "BOUND_VARIABLE_8229" $$unsorted)) % 0.44/0.68 (define @t231 () (or @t213 @t189 @t212 @t188 @t186 @t185 @t226)) % 0.44/0.68 (define @t232 () (not (tptp.elem (tptp.m_Down @t227) @t66))) % 0.44/0.68 (define @t233 () (tptp.host @t228)) % 0.44/0.68 (define @t234 () (not (= @t233 (tptp.host @t227)))) % 0.44/0.68 (define @t235 () (not (tptp.elem (tptp.m_Down @t229) (tptp.snoc (tptp.queue @t233) @t24)))) % 0.44/0.68 (define @t236 () (not (tptp.setIn @t228 tptp.alive))) % 0.44/0.68 (define @t237 () (tptp.host @t230)) % 0.44/0.68 (define @t238 () (= @t237 @t233)) % 0.44/0.68 (define @t239 () (= @t58 @t233)) % 0.44/0.68 (define @t240 () (not (= @t84 @t233))) % 0.44/0.68 (define @t241 () (not (= @t237 (tptp.host @t229)))) % 0.44/0.68 (define @t242 () (not (tptp.setIn @t230 tptp.alive))) % 0.44/0.68 (define @t243 () (not (= @t58 @t237))) % 0.44/0.68 (define @t244 () (= @t84 @t237)) % 0.44/0.68 (define @t245 () (= @t57 @t84)) % 0.44/0.68 (define @t246 () (and (not @t97) (not @t245))) % 0.44/0.68 (define @t247 () (or @t246 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t236 @t235 @t234 @t232)) % 0.44/0.68 (define @t248 () (@list @t11 @t230 @t229 @t228 @t227)) % 0.44/0.68 (define @t249 () (forall @t248 @t247)) % 0.44/0.68 (define @t250 () (or @t213 @t189 @t212 @t188 @t186 @t185 @t249)) % 0.44/0.68 (define @t251 () (forall @t162 @t250)) % 0.44/0.68 (define @t252 () (not @t119)) % 0.44/0.68 (define @t253 () (not @t125)) % 0.44/0.68 (define @t254 () (= @t84 @t126)) % 0.44/0.68 (define @t255 () (not @t254)) % 0.44/0.68 (define @t256 () (not @t127)) % 0.44/0.68 (define @t257 () (= @t84 @t116)) % 0.44/0.68 (define @t258 () (or @t257 @t136 @t256 @t255 @t253 @t158 @t252)) % 0.44/0.68 (define @t259 () (forall @t132 @t258)) % 0.44/0.68 (define @t260 () (not @t259)) % 0.44/0.68 (define @t261 () (= @t84 @t124)) % 0.44/0.68 (define @t262 () (not @t261)) % 0.44/0.68 (define @t263 () (= @t11 @t121)) % 0.44/0.68 (define @t264 () (or @t263 @t262 @t136 @t135)) % 0.44/0.68 (define @t265 () (forall @t142 @t264)) % 0.44/0.68 (define @t266 () (not @t265)) % 0.44/0.68 (define @t267 () (not @t144)) % 0.44/0.68 (define @t268 () (or @t128 @t267 @t262 @t135)) % 0.44/0.68 (define @t269 () (forall @t142 @t268)) % 0.44/0.68 (define @t270 () (not @t269)) % 0.44/0.68 (define @t271 () (forall @t150 (or (not @t149) @t148))) % 0.44/0.68 (define @t272 () (not @t271)) % 0.44/0.68 (define @t273 () (forall @t142 (or (not @t152) @t148))) % 0.44/0.68 (define @t274 () (not @t273)) % 0.44/0.68 (define @t275 () (forall @t142 (or @t158 @t262))) % 0.44/0.68 (define @t276 () (not @t275)) % 0.44/0.68 (define @t277 () (forall @t142 (or @t158 @t135))) % 0.44/0.68 (define @t278 () (not @t277)) % 0.44/0.68 (define @t279 () (forall @t142 (or @t135 @t158))) % 0.44/0.68 (define @t280 () (not @t279)) % 0.44/0.68 (define @t281 () (or @t280 @t278 @t276 @t274 @t272 @t270 @t266 @t260 @t251)) % 0.44/0.68 (define @t282 () (or @t280 @t278 @t276 @t274 @t272 @t270 @t266 @t260 @t250)) % 0.44/0.68 (define @t283 () (or @t280 @t278 @t276 @t274 @t272 @t270 @t266 @t260 @t213 @t189 @t212 @t188 @t186 @t185 @t249)) % 0.44/0.68 (define @t284 () (or @t189 @t212 @t188 @t186 @t185 @t249)) % 0.44/0.68 (define @t285 () (or @t280 @t278 @t276 @t274 @t272 @t270 @t266 @t260 @t213)) % 0.44/0.68 (define @t286 () (or @t212 @t188 @t186 @t185 @t249)) % 0.44/0.68 (define @t287 () (or @t212 @t188 @t186)) % 0.44/0.68 (define @t288 () (=> @t103 @t249)) % 0.44/0.68 (define @t289 () (and @t211 @t187 @t105)) % 0.44/0.68 (define @t290 () (=> @t289 @t288)) % 0.44/0.68 (define @t291 () (=> @t111 @t290)) % 0.44/0.68 (define @t292 () (and @t279 @t277 @t275 @t273 @t271 @t269 @t265 @t259 @t114)) % 0.44/0.68 (define @t293 () (or @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t236 @t235 @t234 @t232)) % 0.44/0.68 (define @t294 () (or @t246 @t293)) % 0.44/0.68 (define @t295 () (forall @t248 @t294)) % 0.44/0.68 (define @t296 () (@list @t230 @t229 @t228 @t227)) % 0.44/0.68 (define @t297 () (forall @t296 @t294)) % 0.44/0.68 (define @t298 () (forall @t296 @t293)) % 0.44/0.68 (define @t299 () (@var "BOUND_VARIABLE_8192" $$unsorted)) % 0.44/0.68 (define @t300 () (@var "BOUND_VARIABLE_8190" $$unsorted)) % 0.44/0.68 (define @t301 () (@var "BOUND_VARIABLE_8188" $$unsorted)) % 0.44/0.68 (define @t302 () (or @t246 @t298)) % 0.44/0.68 (define @t303 () (not (tptp.elem (tptp.m_Down @t299) @t66))) % 0.44/0.68 (define @t304 () (tptp.host @t300)) % 0.44/0.68 (define @t305 () (not (= @t304 (tptp.host @t299)))) % 0.44/0.68 (define @t306 () (not (tptp.elem (tptp.m_Down @t301) (tptp.snoc (tptp.queue @t304) @t24)))) % 0.44/0.68 (define @t307 () (not (tptp.setIn @t300 tptp.alive))) % 0.44/0.68 (define @t308 () (= @t72 @t304)) % 0.44/0.68 (define @t309 () (= @t58 @t304)) % 0.44/0.68 (define @t310 () (not (= @t84 @t304))) % 0.44/0.68 (define @t311 () (not (= @t72 (tptp.host @t301)))) % 0.44/0.68 (define @t312 () (not @t75)) % 0.44/0.68 (define @t313 () (not @t89)) % 0.44/0.68 (define @t314 () (or @t91 @t313 @t312 @t311 @t310 @t309 @t308 @t307 @t306 @t305 @t303)) % 0.44/0.68 (define @t315 () (@list @t71 @t301 @t300 @t299)) % 0.44/0.68 (define @t316 () (forall @t315 @t314)) % 0.44/0.68 (define @t317 () (or @t97 @t245)) % 0.44/0.68 (define @t318 () (or @t311 @t310 @t309 @t308 @t307 @t306 @t305 @t303)) % 0.44/0.68 (define @t319 () (or @t91 @t313 @t312 @t318)) % 0.44/0.68 (define @t320 () (forall @t315 @t319)) % 0.44/0.68 (define @t321 () (@list @t301 @t300 @t299)) % 0.44/0.68 (define @t322 () (forall @t321 @t319)) % 0.44/0.68 (define @t323 () (forall @t321 @t318)) % 0.44/0.68 (define @t324 () (@var "BOUND_VARIABLE_8166" $$unsorted)) % 0.44/0.68 (define @t325 () (or @t91 @t313 @t312 @t323)) % 0.44/0.68 (define @t326 () (not (tptp.elem (tptp.m_Down @t324) @t66))) % 0.44/0.68 (define @t327 () (not (= @t63 (tptp.host @t324)))) % 0.44/0.68 (define @t328 () (not @t65)) % 0.44/0.68 (define @t329 () (not @t74)) % 0.44/0.68 (define @t330 () (= @t72 @t63)) % 0.44/0.68 (define @t331 () (not @t85)) % 0.44/0.68 (define @t332 () (= @t72 @t73)) % 0.44/0.68 (define @t333 () (not @t332)) % 0.44/0.68 (define @t334 () (or @t333 @t331 @t81 @t330 @t329 @t328 @t327 @t326)) % 0.44/0.68 (define @t335 () (@list @t64 @t62 @t324)) % 0.44/0.68 (define @t336 () (forall @t335 @t334)) % 0.44/0.68 (define @t337 () (or @t91 @t313 @t312 @t336)) % 0.44/0.68 (define @t338 () (or @t313 @t312 @t336)) % 0.44/0.68 (define @t339 () (or @t312 @t336)) % 0.44/0.68 (define @t340 () (=> @t89 @t339)) % 0.44/0.68 (define @t341 () (or @t327 @t326)) % 0.44/0.68 (define @t342 () (or @t333 @t331 @t81 @t330 @t329 @t328 @t341)) % 0.44/0.68 (define @t343 () (forall @t335 @t342)) % 0.44/0.68 (define @t344 () (@list @t324)) % 0.44/0.68 (define @t345 () (forall @t344 @t342)) % 0.44/0.68 (define @t346 () (forall @t344 @t341)) % 0.44/0.68 (define @t347 () (or @t333 @t331 @t81 @t330 @t329 @t328 @t346)) % 0.44/0.68 (define @t348 () (not @t68)) % 0.44/0.68 (define @t349 () (= @t63 @t70)) % 0.44/0.68 (define @t350 () (not @t349)) % 0.44/0.68 (define @t351 () (or @t350 @t348)) % 0.44/0.68 (define @t352 () (forall @t79 @t351)) % 0.44/0.68 (define @t353 () (or @t333 @t331 @t81 @t330 @t329 @t328 @t352)) % 0.44/0.68 (define @t354 () (forall @t87 @t353)) % 0.44/0.68 (define @t355 () (or @t312 @t354)) % 0.44/0.68 (define @t356 () (or @t312 @t353)) % 0.44/0.68 (define @t357 () (or @t331 @t81 @t330 @t312 @t329 @t333 @t328 @t352)) % 0.44/0.68 (define @t358 () (or @t81 @t330 @t312 @t329 @t333 @t328 @t352)) % 0.44/0.68 (define @t359 () (or @t330 @t312 @t329 @t333 @t328 @t352)) % 0.44/0.68 (define @t360 () (=> @t82 @t359)) % 0.44/0.68 (define @t361 () (or @t330 @t312 @t329 @t333 @t328 @t351)) % 0.44/0.68 (define @t362 () (or @t330 @t312 @t329 @t333 @t350 @t348 @t328)) % 0.44/0.68 (define @t363 () (not @t330)) % 0.44/0.68 (define @t364 () (not @t363)) % 0.44/0.68 (define @t365 () (or @t364 @t312 @t329 @t333 @t350)) % 0.44/0.68 (define @t366 () (and @t363 @t75 @t74 @t332 @t349)) % 0.44/0.68 (define @t367 () (not @t257)) % 0.44/0.68 (define @t368 () (not @t367)) % 0.44/0.68 (define @t369 () (or @t368 @t136 @t256 @t255 @t253)) % 0.44/0.68 (define @t370 () (and @t367 @t128 @t127 @t254 @t125)) % 0.44/0.68 (define @t371 () (not @t263)) % 0.44/0.68 (define @t372 () (and @t371 @t261)) % 0.44/0.68 (define @t373 () (not @t136)) % 0.44/0.68 (define @t374 () (or @t373 @t267 @t262)) % 0.44/0.68 (define @t375 () (and @t136 @t144 @t261)) % 0.44/0.68 (define @t376 () (not @t197)) % 0.44/0.68 (define @t377 () (tptp.host @t195)) % 0.44/0.68 (define @t378 () (@quantifiers_skolemize @t193 6)) % 0.44/0.68 (define @t379 () (tptp.host @t378)) % 0.44/0.68 (define @t380 () (= @t379 @t377)) % 0.44/0.68 (define @t381 () (not @t380)) % 0.44/0.68 (define @t382 () (tptp.m_Ldr @t199)) % 0.44/0.68 (define @t383 () (tptp.queue @t379)) % 0.44/0.68 (define @t384 () (@quantifiers_skolemize @t193 5)) % 0.44/0.68 (define @t385 () (tptp.m_Down @t384)) % 0.44/0.68 (define @t386 () (tptp.elem @t385 (tptp.snoc @t383 @t382))) % 0.44/0.68 (define @t387 () (not @t386)) % 0.44/0.68 (define @t388 () (tptp.setIn @t378 tptp.alive)) % 0.44/0.68 (define @t389 () (not @t388)) % 0.44/0.68 (define @t390 () (@quantifiers_skolemize @t193 4)) % 0.44/0.68 (define @t391 () (tptp.host @t390)) % 0.44/0.68 (define @t392 () (= @t200 @t379)) % 0.44/0.68 (define @t393 () (tptp.host (@quantifiers_skolemize @t193 3))) % 0.44/0.68 (define @t394 () (tptp.host @t384)) % 0.44/0.68 (define @t395 () (= @t391 @t394)) % 0.44/0.68 (define @t396 () (not @t395)) % 0.44/0.68 (define @t397 () (= @t200 @t391)) % 0.44/0.68 (define @t398 () (not @t397)) % 0.44/0.68 (define @t399 () (tptp.host @t198)) % 0.44/0.68 (define @t400 () (tptp.index tptp.pendack @t200)) % 0.44/0.68 (define @t401 () (tptp.setIn @t199 tptp.alive)) % 0.44/0.68 (define @t402 () (not @t401)) % 0.44/0.68 (define @t403 () (tptp.queue @t200)) % 0.44/0.68 (define @t404 () (= @t403 @t203)) % 0.44/0.68 (define @t405 () (not @t404)) % 0.44/0.68 (define @t406 () (or @t405 @t402 (not (= tptp.elec_2 (tptp.index tptp.status @t200))) (not (= @t399 @t400)) (not (tptp.leq tptp.nbr_proc @t400)) (and (not (tptp.setIn @t393 (tptp.index tptp.acks @t200))) (not (= @t399 @t393))) (= @t393 @t391) @t398 (not (tptp.setIn @t390 tptp.alive)) @t396 (not (= @t393 @t379)) @t392 (= @t391 @t379) @t389 @t387 @t381 @t376)) % 0.44/0.68 (define @t407 () (@list true)) % 0.44/0.68 (define @t408 () (@list @t406)) % 0.44/0.68 (define @t409 () (@list false false)) % 0.44/0.68 (define @t410 () (tptp.elem @t196 @t403)) % 0.44/0.68 (define @t411 () (tptp.elem @t385 @t383)) % 0.44/0.68 (define @t412 () (not @t411)) % 0.44/0.68 (define @t413 () (not @t410)) % 0.44/0.68 (define @t414 () (not (= @t377 @t379))) % 0.44/0.68 (define @t415 () (= @t200 @t394)) % 0.44/0.68 (define @t416 () (not @t415)) % 0.44/0.68 (define @t417 () (or @t392 @t402 @t389 @t416 @t414 @t413 @t412)) % 0.44/0.68 (define @t418 () (or @t392 @t402 @t389 @t416 @t381 @t413 @t412)) % 0.44/0.68 (define @t419 () (= @t385 @t382)) % 0.44/0.68 (define @t420 () (or @t419 @t411)) % 0.44/0.68 (define @t421 () (forall @t44 (= @t45 @t47))) % 0.44/0.68 (define @t422 () (= @t420 @t386)) % 0.44/0.68 (define @t423 () (= @t386 @t420)) % 0.44/0.68 (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))))) % 0.44/0.68 (assume @p2 (forall (@list @t7 @t5) (=> (= (tptp.s @t8) @t6) (not (= @t8 @t6))))) % 0.44/0.68 (assume @p3 (forall @t10 (tptp.leq @t9 @t8))) % 0.44/0.68 (assume @p4 (tptp.leq @t9 tptp.nbr_proc)) % 0.44/0.68 (assume @p5 (forall @t10 (tptp.leq @t8 tptp.nbr_proc))) % 0.44/0.68 (assume @p6 (not (= tptp.elec_1 tptp.elec_2))) % 0.44/0.68 (assume @p7 (not (= tptp.elec_1 tptp.wait))) % 0.44/0.68 (assume @p8 (not (= tptp.elec_1 tptp.norm))) % 0.44/0.68 (assume @p9 (not (= tptp.elec_2 tptp.wait))) % 0.44/0.68 (assume @p10 (not (= tptp.elec_2 tptp.norm))) % 0.44/0.68 (assume @p11 (not (= tptp.norm tptp.wait))) % 0.44/0.68 (assume @p12 (forall @t15 (not (= @t14 (tptp.m_Halt @t11))))) % 0.44/0.68 (assume @p13 (forall @t15 (not (= @t14 (tptp.m_Down @t11))))) % 0.44/0.68 (assume @p14 (forall @t15 (not (= @t14 (tptp.m_NotNorm @t11))))) % 0.44/0.68 (assume @p15 (forall @t15 (not (= @t14 (tptp.m_Ldr @t11))))) % 0.44/0.68 (assume @p16 (forall @t15 (not (= @t14 (tptp.m_NormQ @t11))))) % 0.44/0.68 (assume @p17 (forall @t18 (not (= @t17 @t16)))) % 0.44/0.68 (assume @p18 (forall @t18 (not (= @t19 @t16)))) % 0.44/0.68 (assume @p19 (forall @t18 (not (= @t19 @t20)))) % 0.44/0.68 (assume @p20 (forall @t18 (not (= @t19 @t21)))) % 0.44/0.68 (assume @p21 (forall @t18 (not (= @t19 @t22)))) % 0.44/0.68 (assume @p22 (forall @t18 (not (= @t23 @t16)))) % 0.44/0.68 (assume @p23 (forall @t18 (not (= @t24 @t16)))) % 0.44/0.68 (assume @p24 (forall @t18 (not (= @t24 @t22)))) % 0.44/0.68 (assume @p25 (forall @t18 (not (= @t24 @t21)))) % 0.44/0.68 (assume @p26 (forall @t18 (not (= @t23 @t21)))) % 0.44/0.68 (assume @p27 (forall @t18 (= @t27 (not (= @t25 @t16))))) % 0.44/0.68 (assume @p28 (forall @t18 (= @t27 (not (= @t23 @t22))))) % 0.44/0.68 (assume @p29 (forall @t18 (= @t27 (not (= @t17 @t21))))) % 0.44/0.68 (assume @p30 (forall @t18 (= @t27 (not (= @t24 @t20))))) % 0.44/0.68 (assume @p31 (forall @t18 (= @t27 (not (= @t19 @t28))))) % 0.44/0.68 (assume @p32 (forall @t34 (=> (not (= @t32 @t30)) @t33))) % 0.44/0.68 (assume @p33 (forall @t34 (=> (not (= @t31 @t29)) @t33))) % 0.44/0.68 (assume @p34 (forall @t4 (=> (not (= @t3 (tptp.host @t1))) (not (= @t2 @t1))))) % 0.44/0.68 (assume @p35 (not (tptp.setIn tptp.nil tptp.alive))) % 0.44/0.68 (assume @p36 (forall @t36 (= (tptp.head @t35) @t13))) % 0.44/0.68 (assume @p37 (forall @t36 (= (tptp.tail @t35) @t5))) % 0.44/0.68 (assume @p38 (forall @t38 (= (tptp.last @t37) @t12))) % 0.44/0.68 (assume @p39 (forall @t38 (= (tptp.init @t37) @t5))) % 0.44/0.68 (assume @p40 (forall @t40 (or @t39 (= @t5 (tptp.cons (tptp.head @t5) (tptp.tail @t5)))))) % 0.44/0.68 (assume @p41 (forall @t40 (or @t39 (= @t5 (tptp.snoc (tptp.init @t5) (tptp.last @t5)))))) % 0.44/0.68 (assume @p42 (forall @t36 (not (= tptp.q_nil @t35)))) % 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(step @p496 :rule refl :args (@t392)) % 0.44/0.68 (step @p497 :rule nary_cong :premises (@p496 @p495 @p494 @p493 @p492 @p490 @p489) :args (@t417)) % 0.44/0.68 (step @p498 :rule refl :args (@t259)) % 0.44/0.68 (step @p499 :rule cong :premises (@p498 @p497) :args ((=> @t259 @t417))) % 0.44/0.68 (assume-push @p575 @t259) % 0.44/0.68 (step @p501 :rule instantiate :premises (@p488) :args ((@list @t199 @t384 @t378 @t195))) % 0.44/0.68 (step-pop @p576 :rule scope :premises (@p501)) % 0.44/0.68 (step @p502 :rule process_scope :premises (@p576) :args (@t417)) % 0.44/0.68 (step @p504 :rule eq_resolve :premises (@p502 @p499)) % 0.44/0.68 (step @p505 :rule implies_elim :premises (@p504)) % 0.44/0.68 (step @p506 :rule chain_m_resolution :premises (@p505 @p488) :args (@t418 @t208 (@list @t259))) % 0.44/0.68 (step @p507 :rule bool-double-not-elim :args (@t395)) % 0.44/0.68 (step @p508 :rule nary_cong :premises (@p466 @p507) :args ((or @t406 (not @t396)))) % 0.44/0.68 (step @p509 :rule cnf_or_neg 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:rule cnf_or_neg :args (@t406 15)) % 0.44/0.68 (step @p549 :rule eq_resolve :premises (@p548 @p547)) % 0.44/0.68 (step @p550 :rule reordering :premises (@p549) :args ((or @t380 @t406))) % 0.44/0.68 (step @p551 :rule chain_m_resolution :premises (@p550 @p464) :args (@t380 @t407 @t408)) % 0.44/0.68 (step @p552 :rule bool-double-not-elim :args (@t388)) % 0.44/0.68 (step @p553 :rule nary_cong :premises (@p466 @p552) :args ((or @t406 (not @t389)))) % 0.44/0.68 (step @p554 :rule cnf_or_neg :args (@t406 13)) % 0.44/0.68 (step @p555 :rule eq_resolve :premises (@p554 @p553)) % 0.44/0.68 (step @p556 :rule reordering :premises (@p555) :args ((or @t388 @t406))) % 0.44/0.68 (step @p557 :rule chain_m_resolution :premises (@p556 @p464) :args (@t388 @t407 @t408)) % 0.44/0.68 (step @p558 :rule cnf_or_neg :args (@t406 11)) % 0.44/0.68 (step @p559 :rule chain_m_resolution :premises (@p558 @p464) :args ((not @t392) @t407 @t408)) % 0.44/0.68 (step @p560 :rule bool-double-not-elim :args (@t401)) % 0.44/0.68 (step @p561 :rule nary_cong :premises (@p466 @p560) :args ((or @t406 (not @t402)))) % 0.44/0.68 (step @p562 :rule cnf_or_neg :args (@t406 1)) % 0.44/0.68 (step @p563 :rule eq_resolve :premises (@p562 @p561)) % 0.44/0.68 (step @p564 :rule reordering :premises (@p563) :args ((or @t401 @t406))) % 0.44/0.68 (step @p565 :rule chain_m_resolution :premises (@p564 @p464) :args (@t401 @t407 @t408)) % 0.44/0.68 (step @p566 :rule cnf_or_pos :args (@t418)) % 0.44/0.68 (step @p567 :rule reordering :premises (@p566) :args ((or @t402 @t392 @t389 @t381 @t412 @t416 @t413 (not @t418)))) % 0.44/0.68 (step @p568 :rule chain_m_resolution :premises (@p567 @p565 @p559 @p557 @p551 @p545 @p519 @p506) :args (@t413 (@list false true false false false false false) (@list @t401 @t392 @t388 @t380 @t411 @t415 @t418))) % 0.44/0.68 (step @p569 :rule false_intro :premises (@p568)) % 0.44/0.68 (step @p570 :rule symm :premises (@p569)) % 0.44/0.68 (step @p571 :rule trans :premises (@p570 @p486 @p478)) % 0.44/0.68 (step @p572 false :rule eq_resolve :premises (@p571 @p69)) % 0.44/0.68 ) % 0.44/0.68 % SZS output end Proof % 0.44/0.68 % cvc5 exiting %------------------------------------------------------------------------------