%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV540+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:56:04 AM UTC 2026 % Result : Theorem 160.97s 161.25s % Output : Proof 160.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEV540+1 : TPTP v9.2.1. Released v9.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 13:36:45 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 160.97/161.25 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 160.97/161.25 --- Run --no-e-matching --full-saturate-quant at 6... % 160.97/161.25 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 160.97/161.25 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 160.97/161.25 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 160.97/161.25 --- Run --trigger-sel=max --full-saturate-quant at 15... % 160.97/161.25 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 160.97/161.25 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 160.97/161.25 --- Run --prenex-quant=none --full-saturate-quant at 30... % 160.97/161.25 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 160.97/161.25 % SZS status Theorem % 160.97/161.25 % SZS output start Proof % 160.97/161.25 ( % 160.97/161.25 (declare-sort $$unsorted 0) % 160.97/161.25 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 160.97/161.25 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.e $$unsorted) % 160.97/161.25 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 160.97/161.25 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 160.97/161.25 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 160.97/161.25 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 160.97/161.25 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 160.97/161.25 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 160.97/161.25 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 160.97/161.25 (define @t1 () (@var "Y" $$unsorted)) % 160.97/161.25 (define @t2 () (@var "Z" $$unsorted)) % 160.97/161.25 (define @t3 () (tptp.mem @t2 @t1)) % 160.97/161.25 (define @t4 () (@var "X" $$unsorted)) % 160.97/161.25 (define @t5 () (tptp.mem @t2 @t4)) % 160.97/161.25 (define @t6 () (@list @t2)) % 160.97/161.25 (define @t7 () (forall @t6 (=> @t5 @t3))) % 160.97/161.25 (define @t8 () (tptp.subq @t4 @t1)) % 160.97/161.25 (define @t9 () (= @t8 @t7)) % 160.97/161.25 (define @t10 () (@list @t4 @t1)) % 160.97/161.25 (define @t11 () (forall @t10 @t9)) % 160.97/161.25 (define @t12 () (= @t4 @t1)) % 160.97/161.25 (define @t13 () (tptp.subq @t1 @t4)) % 160.97/161.25 (define @t14 () (=> @t13 @t12)) % 160.97/161.25 (define @t15 () (forall @t10 (=> @t8 @t14))) % 160.97/161.25 (define @t16 () (@list @t4)) % 160.97/161.25 (define @t17 () (tptp.s @t1)) % 160.97/161.25 (define @t18 () (tptp.mem @t4 @t17)) % 160.97/161.25 (define @t19 () (forall @t10 (= @t18 @t12))) % 160.97/161.25 (define @t20 () (tptp.mem @t4 @t2)) % 160.97/161.25 (define @t21 () (tptp.mem @t4 @t1)) % 160.97/161.25 (define @t22 () (@list @t4 @t1 @t2)) % 160.97/161.25 (define @t23 () (tptp.p @t1)) % 160.97/161.25 (define @t24 () (tptp.mem @t4 @t23)) % 160.97/161.25 (define @t25 () (forall @t10 (= @t24 @t8))) % 160.97/161.25 (define @t26 () (tptp.subq @t4 @t23)) % 160.97/161.25 (define @t27 () (not @t26)) % 160.97/161.25 (define @t28 () (tptp.mem @t1 @t4)) % 160.97/161.25 (define @t29 () (and @t28 @t27)) % 160.97/161.25 (define @t30 () (@list @t1)) % 160.97/161.25 (define @t31 () (exists @t30 @t29)) % 160.97/161.25 (define @t32 () (tptp.atleast2p @t4)) % 160.97/161.25 (define @t33 () (= @t32 @t31)) % 160.97/161.25 (define @t34 () (forall @t16 @t33)) % 160.97/161.25 (define @t35 () (not @t8)) % 160.97/161.25 (define @t36 () (tptp.atleast2p @t1)) % 160.97/161.25 (define @t37 () (and @t13 @t36 @t35)) % 160.97/161.25 (define @t38 () (exists @t30 @t37)) % 160.97/161.25 (define @t39 () (tptp.atleast3p @t4)) % 160.97/161.25 (define @t40 () (= @t39 @t38)) % 160.97/161.25 (define @t41 () (forall @t16 @t40)) % 160.97/161.25 (define @t42 () (tptp.n tptp.e)) % 160.97/161.25 (define @t43 () (tptp.s @t42)) % 160.97/161.25 (define @t44 () (tptp.n @t43)) % 160.97/161.25 (define @t45 () (tptp.s @t43)) % 160.97/161.25 (define @t46 () (tptp.p @t45)) % 160.97/161.25 (define @t47 () (tptp.a @t46 @t44)) % 160.97/161.25 (define @t48 () (tptp.u @t43 @t47)) % 160.97/161.25 (define @t49 () (tptp.atleast3p @t48)) % 160.97/161.25 (define @t50 () (@list @t44)) % 160.97/161.25 (define @t51 () (not @t13)) % 160.97/161.25 (define @t52 () (@list tptp.e @t43)) % 160.97/161.25 (define @t53 () (tptp.mem @t2 tptp.e)) % 160.97/161.25 (define @t54 () (tptp.mem @t2 @t43)) % 160.97/161.25 (define @t55 () (forall @t6 (or (not @t54) @t53))) % 160.97/161.25 (define @t56 () (@quantifiers_skolemize @t55 0)) % 160.97/161.25 (define @t57 () (tptp.mem @t56 @t43)) % 160.97/161.25 (define @t58 () (= @t56 @t42)) % 160.97/161.25 (define @t59 () (forall @t10 (= @t12 @t18))) % 160.97/161.25 (define @t60 () (= @t58 @t57)) % 160.97/161.25 (define @t61 () (= @t42 @t56)) % 160.97/161.25 (define @t62 () (= @t57 @t61)) % 160.97/161.25 (define @t63 () (@list false)) % 160.97/161.25 (define @t64 () (@list @t59)) % 160.97/161.25 (define @t65 () (not @t57)) % 160.97/161.25 (define @t66 () (@list @t44 @t45)) % 160.97/161.25 (define @t67 () (tptp.subq @t44 @t45)) % 160.97/161.25 (define @t68 () (tptp.mem @t44 @t46)) % 160.97/161.25 (define @t69 () (forall @t10 (= @t8 @t24))) % 160.97/161.25 (define @t70 () (= @t67 @t68)) % 160.97/161.25 (define @t71 () (= @t68 @t67)) % 160.97/161.25 (define @t72 () (not @t36)) % 160.97/161.25 (define @t73 () (not @t35)) % 160.97/161.25 (define @t74 () (or @t51 @t72 @t73)) % 160.97/161.25 (define @t75 () (forall @t30 (not @t37))) % 160.97/161.25 (define @t76 () (not @t75)) % 160.97/161.25 (define @t77 () (forall @t30 (or (not (tptp.subq @t1 @t48)) @t72 (tptp.subq @t48 @t1)))) % 160.97/161.25 (define @t78 () (not @t77)) % 160.97/161.25 (define @t79 () (= @t49 @t78)) % 160.97/161.25 (define @t80 () (not @t79)) % 160.97/161.25 (define @t81 () (@list true false)) % 160.97/161.25 (define @t82 () (@list @t46)) % 160.97/161.25 (define @t83 () (not @t28)) % 160.97/161.25 (define @t84 () (forall @t30 (not @t29))) % 160.97/161.25 (define @t85 () (not @t84)) % 160.97/161.25 (define @t86 () (tptp.p tptp.e)) % 160.97/161.25 (define @t87 () (@list @t45 @t45)) % 160.97/161.25 (define @t88 () (tptp.subq @t45 @t45)) % 160.97/161.25 (define @t89 () (tptp.mem @t2 @t45)) % 160.97/161.25 (define @t90 () (forall @t6 (or (not @t89) @t89))) % 160.97/161.25 (define @t91 () (= @t88 @t90)) % 160.97/161.25 (define @t92 () (forall @t10 (= @t8 (forall @t6 (or (not @t5) @t3))))) % 160.97/161.25 (define @t93 () (tptp.mem @t45 @t46)) % 160.97/161.25 (define @t94 () (= @t88 @t93)) % 160.97/161.25 (define @t95 () (@list false false)) % 160.97/161.25 (define @t96 () (@list tptp.e @t45)) % 160.97/161.25 (define @t97 () (tptp.mem @t43 @t45)) % 160.97/161.25 (define @t98 () (= (= @t43 @t43) @t97)) % 160.97/161.25 (define @t99 () (@list @t43 @t43)) % 160.97/161.25 (define @t100 () (@list @t43)) % 160.97/161.25 (define @t101 () (not @t97)) % 160.97/161.25 (define @t102 () (= tptp.e @t45)) % 160.97/161.25 (define @t103 () (not @t102)) % 160.97/161.25 (define @t104 () (tptp.mem @t43 tptp.e)) % 160.97/161.25 (define @t105 () (not @t104)) % 160.97/161.25 (define @t106 () (not @t53)) % 160.97/161.25 (define @t107 () (forall @t6 (or @t106 @t89))) % 160.97/161.25 (define @t108 () (@quantifiers_skolemize @t107 0)) % 160.97/161.25 (define @t109 () (tptp.mem @t108 tptp.e)) % 160.97/161.25 (define @t110 () (not @t109)) % 160.97/161.25 (define @t111 () (or @t110 (tptp.mem @t108 @t45))) % 160.97/161.25 (define @t112 () (@list true)) % 160.97/161.25 (define @t113 () (not @t111)) % 160.97/161.25 (define @t114 () (not @t107)) % 160.97/161.25 (define @t115 () (tptp.subq tptp.e @t45)) % 160.97/161.25 (define @t116 () (= @t115 @t107)) % 160.97/161.25 (define @t117 () (tptp.subq @t45 tptp.e)) % 160.97/161.25 (define @t118 () (not @t117)) % 160.97/161.25 (define @t119 () (not @t115)) % 160.97/161.25 (define @t120 () (or @t119 @t118 @t102)) % 160.97/161.25 (define @t121 () (tptp.mem @t45 @t86)) % 160.97/161.25 (define @t122 () (= @t117 @t121)) % 160.97/161.25 (define @t123 () (not @t121)) % 160.97/161.25 (define @t124 () (not @t93)) % 160.97/161.25 (define @t125 () (or @t124 @t121)) % 160.97/161.25 (define @t126 () (not @t125)) % 160.97/161.25 (define @t127 () (tptp.mem @t2 @t46)) % 160.97/161.25 (define @t128 () (not @t127)) % 160.97/161.25 (define @t129 () (forall @t6 (or @t128 (tptp.mem @t2 @t86)))) % 160.97/161.25 (define @t130 () (tptp.subq @t46 @t86)) % 160.97/161.25 (define @t131 () (= @t130 @t129)) % 160.97/161.25 (define @t132 () (not @t130)) % 160.97/161.25 (define @t133 () (tptp.mem tptp.e @t46)) % 160.97/161.25 (define @t134 () (= @t115 @t133)) % 160.97/161.25 (define @t135 () (not @t133)) % 160.97/161.25 (define @t136 () (or @t135 @t130)) % 160.97/161.25 (define @t137 () (not @t136)) % 160.97/161.25 (define @t138 () (forall @t30 (or (not (tptp.mem @t1 @t46)) (tptp.subq @t46 @t23)))) % 160.97/161.25 (define @t139 () (@list tptp.e)) % 160.97/161.25 (define @t140 () (not @t138)) % 160.97/161.25 (define @t141 () (tptp.atleast2p @t46)) % 160.97/161.25 (define @t142 () (= @t141 @t140)) % 160.97/161.25 (define @t143 () (not @t142)) % 160.97/161.25 (define @t144 () (tptp.mem @t2 @t48)) % 160.97/161.25 (define @t145 () (forall @t6 (or @t128 @t144))) % 160.97/161.25 (define @t146 () (@quantifiers_skolemize @t145 0)) % 160.97/161.25 (define @t147 () (tptp.mem @t146 @t46)) % 160.97/161.25 (define @t148 () (tptp.mem @t146 @t48)) % 160.97/161.25 (define @t149 () (not @t147)) % 160.97/161.25 (define @t150 () (or @t149 @t148)) % 160.97/161.25 (define @t151 () (tptp.s @t44)) % 160.97/161.25 (define @t152 () (or @t147 (tptp.mem @t146 @t151))) % 160.97/161.25 (define @t153 () (tptp.mem @t146 @t47)) % 160.97/161.25 (define @t154 () (or (tptp.mem @t146 @t43) @t153)) % 160.97/161.25 (define @t155 () (= @t148 @t154)) % 160.97/161.25 (define @t156 () (tptp.u @t46 @t151)) % 160.97/161.25 (define @t157 () (tptp.mem @t146 @t156)) % 160.97/161.25 (define @t158 () (= @t157 @t152)) % 160.97/161.25 (define @t159 () (= @t47 @t156)) % 160.97/161.25 (define @t160 () (and @t159 @t157)) % 160.97/161.25 (define @t161 () (not @t150)) % 160.97/161.25 (define @t162 () (not @t145)) % 160.97/161.25 (define @t163 () (tptp.subq @t46 @t48)) % 160.97/161.25 (define @t164 () (= @t163 @t145)) % 160.97/161.25 (define @t165 () (tptp.subq @t48 @t46)) % 160.97/161.25 (define @t166 () (not @t141)) % 160.97/161.25 (define @t167 () (not @t163)) % 160.97/161.25 (define @t168 () (or @t167 @t166 @t165)) % 160.97/161.25 (define @t169 () (@list false false false)) % 160.97/161.25 (define @t170 () (forall @t6 (or (not @t144) @t127))) % 160.97/161.25 (define @t171 () (= @t165 @t170)) % 160.97/161.25 (define @t172 () (tptp.mem @t44 @t48)) % 160.97/161.25 (define @t173 () (not @t172)) % 160.97/161.25 (define @t174 () (or @t173 @t68)) % 160.97/161.25 (define @t175 () (tptp.mem @t44 @t151)) % 160.97/161.25 (define @t176 () (= @t44 @t44)) % 160.97/161.25 (define @t177 () (= @t176 @t175)) % 160.97/161.25 (define @t178 () (or @t68 @t175)) % 160.97/161.25 (define @t179 () (tptp.mem @t44 @t156)) % 160.97/161.25 (define @t180 () (= @t179 @t178)) % 160.97/161.25 (define @t181 () (tptp.mem @t44 @t47)) % 160.97/161.25 (define @t182 () (tptp.mem @t44 @t43)) % 160.97/161.25 (define @t183 () (or @t182 @t181)) % 160.97/161.25 (define @t184 () (= @t172 @t183)) % 160.97/161.25 (define @t185 () (forall @t6 (or (not (tptp.mem @t2 @t44)) @t89))) % 160.97/161.25 (define @t186 () (= @t67 @t185)) % 160.97/161.25 (define @t187 () (tptp.mem @t42 @t45)) % 160.97/161.25 (define @t188 () (tptp.mem @t42 @t44)) % 160.97/161.25 (define @t189 () (not @t188)) % 160.97/161.25 (define @t190 () (or @t189 @t187)) % 160.97/161.25 (define @t191 () (tptp.s tptp.e)) % 160.97/161.25 (define @t192 () (tptp.mem tptp.e @t191)) % 160.97/161.25 (define @t193 () (= (= tptp.e tptp.e) @t192)) % 160.97/161.25 (define @t194 () (@list tptp.e tptp.e)) % 160.97/161.25 (define @t195 () (tptp.mem tptp.e tptp.e)) % 160.97/161.25 (define @t196 () (or @t195 @t192)) % 160.97/161.25 (define @t197 () (tptp.u tptp.e @t191)) % 160.97/161.25 (define @t198 () (tptp.mem tptp.e @t197)) % 160.97/161.25 (define @t199 () (= @t198 @t196)) % 160.97/161.25 (define @t200 () (not @t198)) % 160.97/161.25 (define @t201 () (tptp.a tptp.e tptp.e)) % 160.97/161.25 (define @t202 () (= @t201 @t197)) % 160.97/161.25 (define @t203 () (not @t202)) % 160.97/161.25 (define @t204 () (= tptp.e @t42)) % 160.97/161.25 (define @t205 () (not @t204)) % 160.97/161.25 (define @t206 () (= @t42 @t201)) % 160.97/161.25 (define @t207 () (not @t206)) % 160.97/161.25 (define @t208 () (not @t195)) % 160.97/161.25 (define @t209 () (= false true)) % 160.97/161.25 (define @t210 () (tptp.mem tptp.e @t42)) % 160.97/161.25 (define @t211 () (and @t198 @t202 @t206 @t204 @t208)) % 160.97/161.25 (define @t212 () (tptp.mem tptp.e @t43)) % 160.97/161.25 (define @t213 () (= @t204 @t212)) % 160.97/161.25 (define @t214 () (not @t212)) % 160.97/161.25 (define @t215 () (= @t42 @t43)) % 160.97/161.25 (define @t216 () (not @t215)) % 160.97/161.25 (define @t217 () (and @t198 @t202 @t206 @t215 @t214)) % 160.97/161.25 (define @t218 () (= @t215 @t187)) % 160.97/161.25 (define @t219 () (not @t187)) % 160.97/161.25 (define @t220 () (tptp.u @t43 @t45)) % 160.97/161.25 (define @t221 () (tptp.mem @t42 @t220)) % 160.97/161.25 (define @t222 () (not @t221)) % 160.97/161.25 (define @t223 () (tptp.a @t43 @t43)) % 160.97/161.25 (define @t224 () (= @t223 @t220)) % 160.97/161.25 (define @t225 () (not @t224)) % 160.97/161.25 (define @t226 () (= @t44 @t223)) % 160.97/161.25 (define @t227 () (not @t226)) % 160.97/161.25 (define @t228 () (and @t226 @t224 @t189)) % 160.97/161.25 (define @t229 () (@list false false true)) % 160.97/161.25 (define @t230 () (tptp.mem @t42 @t43)) % 160.97/161.25 (define @t231 () (or @t230 @t187)) % 160.97/161.25 (define @t232 () (= @t221 @t231)) % 160.97/161.25 (define @t233 () (not @t231)) % 160.97/161.25 (define @t234 () (not @t230)) % 160.97/161.25 (define @t235 () (and @t57 @t61)) % 160.97/161.25 (define @t236 () (or @t65 (tptp.mem @t56 tptp.e))) % 160.97/161.25 (define @t237 () (not @t236)) % 160.97/161.25 (define @t238 () (not @t55)) % 160.97/161.25 (define @t239 () (tptp.subq @t43 tptp.e)) % 160.97/161.25 (define @t240 () (= @t239 @t55)) % 160.97/161.25 (define @t241 () (forall @t6 (or @t106 @t54))) % 160.97/161.25 (define @t242 () (@quantifiers_skolemize @t241 0)) % 160.97/161.25 (define @t243 () (tptp.mem @t242 tptp.e)) % 160.97/161.25 (define @t244 () (not @t243)) % 160.97/161.25 (define @t245 () (or @t244 (tptp.mem @t242 @t43))) % 160.97/161.25 (define @t246 () (not @t245)) % 160.97/161.25 (define @t247 () (not @t241)) % 160.97/161.25 (define @t248 () (tptp.subq tptp.e @t43)) % 160.97/161.25 (define @t249 () (= @t248 @t241)) % 160.97/161.25 (define @t250 () (= tptp.e @t43)) % 160.97/161.25 (define @t251 () (not @t239)) % 160.97/161.25 (define @t252 () (not @t248)) % 160.97/161.25 (define @t253 () (or @t252 @t251 @t250)) % 160.97/161.25 (define @t254 () (= @t44 @t42)) % 160.97/161.25 (define @t255 () (= @t254 @t182)) % 160.97/161.25 (define @t256 () (= @t42 @t44)) % 160.97/161.25 (define @t257 () (= @t182 @t256)) % 160.97/161.25 (define @t258 () (not @t182)) % 160.97/161.25 (define @t259 () (tptp.mem @t44 tptp.e)) % 160.97/161.25 (define @t260 () (not @t250)) % 160.97/161.25 (define @t261 () (not @t259)) % 160.97/161.25 (define @t262 () (and @t250 @t261)) % 160.97/161.25 (assume @p1 @t11) % 160.97/161.25 (assume @p2 @t15) % 160.97/161.25 (assume @p3 (forall @t10 (= (tptp.disj @t4 @t1) (not (exists @t6 (and @t5 @t3)))))) % 160.97/161.25 (assume @p4 (forall @t16 (not (tptp.mem @t4 tptp.e)))) % 160.97/161.25 (assume @p5 @t19) % 160.97/161.25 (assume @p6 (forall @t22 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t21 @t20)))) % 160.97/161.25 (assume @p7 (forall @t22 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t21 (not @t20))))) % 160.97/161.25 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t17)))) % 160.97/161.25 (assume @p9 (forall @t16 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 160.97/161.25 (assume @p10 @t25) % 160.97/161.25 (assume @p11 @t34) % 160.97/161.25 (assume @p12 @t41) % 160.97/161.25 (assume @p13 (forall @t16 (= (tptp.atleast4p @t4) (exists @t30 (and @t13 (tptp.atleast3p @t1) @t35))))) % 160.97/161.25 (assume @p14 (forall @t16 (= (tptp.atleast5p @t4) (exists @t30 (and @t13 (tptp.atleast4p @t1) @t35))))) % 160.97/161.25 (assume @p15 (forall @t16 (= (tptp.atleast6p @t4) (exists @t30 (and @t13 (tptp.atleast5p @t1) @t35))))) % 160.97/161.25 (assume @p16 (forall @t16 (= (tptp.atleast7p @t4) (exists @t30 (and @t13 (tptp.atleast6p @t1) @t35))))) % 160.97/161.25 (assume @p17 (forall @t16 (= (tptp.atleast8p @t4) (exists @t30 (and @t13 (tptp.atleast7p @t1) @t35))))) % 160.97/161.25 (assume @p18 (forall @t16 (= (tptp.atleast9p @t4) (exists @t30 (and @t13 (tptp.atleast8p @t1) @t35))))) % 160.97/161.25 (assume @p19 (forall @t16 (= (tptp.atleast10p @t4) (exists @t30 (and @t13 (tptp.atleast9p @t1) @t35))))) % 160.97/161.25 (assume @p20 (forall @t16 (= (tptp.atleast11p @t4) (exists @t30 (and @t13 (tptp.atleast10p @t1) @t35))))) % 160.97/161.25 (assume @p21 (forall @t16 (= (tptp.atleast12p @t4) (exists @t30 (and @t13 (tptp.atleast11p @t1) @t35))))) % 160.97/161.25 (assume @p22 (forall @t16 (= (tptp.atleast13p @t4) (exists @t30 (and @t13 (tptp.atleast12p @t1) @t35))))) % 160.97/161.25 (assume @p23 (forall @t16 (= (tptp.atleast14p @t4) (exists @t30 (and @t13 (tptp.atleast13p @t1) @t35))))) % 160.97/161.25 (assume @p24 (forall @t16 (= (tptp.atleast15p @t4) (exists @t30 (and @t13 (tptp.atleast14p @t1) @t35))))) % 160.97/161.25 (assume @p25 (forall @t16 (= (tptp.atleast16p @t4) (exists @t30 (and @t13 (tptp.atleast15p @t1) @t35))))) % 160.97/161.25 (assume @p26 (not @t49)) % 160.97/161.25 (assume @p27 true) % 160.97/161.25 (step @p28 :rule instantiate :premises (@p4) :args (@t50)) % 160.97/161.25 (step @p29 :rule aci_norm :args ((= (or @t35 (or @t51 @t12)) (or @t35 @t51 @t12)))) % 160.97/161.25 (step @p30 :rule bool-impl-elim :args (@t13 @t12)) % 160.97/161.25 (step @p31 :rule refl :args (@t35)) % 160.97/161.25 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t35 @t14))) % 160.97/161.25 (step @p33 :rule trans :premises (@p32 @p29)) % 160.97/161.25 (step @p34 :rule bool-impl-elim :args (@t8 @t14)) % 160.97/161.25 (step @p35 :rule trans :premises (@p34 @p33)) % 160.97/161.25 (step @p36 :rule cong :premises (@p35) :args (@t15)) % 160.97/161.25 (step @p37 :rule eq_resolve :premises (@p2 @p36)) % 160.97/161.25 (step @p38 :rule instantiate :premises (@p37) :args (@t52)) % 160.97/161.25 (step @p39 :rule bool-impl-elim :args (@t5 @t3)) % 160.97/161.25 (step @p40 :rule cong :premises (@p39) :args (@t7)) % 160.97/161.25 (step @p41 :rule refl :args (@t8)) % 160.97/161.25 (step @p42 :rule cong :premises (@p41 @p40) :args (@t9)) % 160.97/161.25 (step @p43 :rule cong :premises (@p42) :args (@t11)) % 160.97/161.25 (step @p44 :rule eq_resolve :premises (@p1 @p43)) % 160.97/161.25 (step @p45 :rule instantiate :premises (@p44) :args ((@list @t43 tptp.e))) % 160.97/161.25 (step @p46 :rule eq-symm :args (@t18 @t12)) % 160.97/161.25 (step @p47 :rule cong :premises (@p46) :args (@t19)) % 160.97/161.25 (step @p48 :rule eq_resolve :premises (@p5 @p47)) % 160.97/161.25 (step @p49 :rule eq-symm :args (@t56 @t42)) % 160.97/161.25 (step @p50 :rule refl :args (@t57)) % 160.97/161.25 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t57 @t58))) % 160.97/161.25 (step @p52 :rule eq-symm :args (@t58 @t57)) % 160.97/161.25 (step @p53 :rule trans :premises (@p52 @p51)) % 160.97/161.25 (step @p54 :rule refl :args (@t59)) % 160.97/161.25 (step @p55 :rule cong :premises (@p54 @p53) :args ((=> @t59 @t60))) % 160.97/161.25 (assume-push @p638 @t59) % 160.97/161.25 (step @p57 :rule instantiate :premises (@p48) :args ((@list @t56 @t42))) % 160.97/161.25 (step-pop @p639 :rule scope :premises (@p57)) % 160.97/161.25 (step @p58 :rule process_scope :premises (@p639) :args (@t60)) % 160.97/161.25 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 160.97/161.25 (step @p61 :rule implies_elim :premises (@p60)) % 160.97/161.25 (step @p62 :rule chain_m_resolution :premises (@p61 @p48) :args (@t62 @t63 @t64)) % 160.97/161.25 (step @p63 :rule cnf_equiv_pos1 :args (@t62)) % 160.97/161.25 (step @p64 :rule reordering :premises (@p63) :args ((or @t65 @t61 (not @t62)))) % 160.97/161.25 (step @p65 :rule instantiate :premises (@p6) :args ((@list @t42 @t43 @t45))) % 160.97/161.25 (step @p66 :rule instantiate :premises (@p44) :args (@t66)) % 160.97/161.25 (step @p67 :rule eq-symm :args (@t24 @t8)) % 160.97/161.25 (step @p68 :rule cong :premises (@p67) :args (@t25)) % 160.97/161.25 (step @p69 :rule eq_resolve :premises (@p10 @p68)) % 160.97/161.25 (step @p70 :rule eq-symm :args (@t67 @t68)) % 160.97/161.25 (step @p71 :rule refl :args (@t69)) % 160.97/161.25 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t69 @t70))) % 160.97/161.25 (assume-push @p640 @t69) % 160.97/161.25 (step @p74 :rule instantiate :premises (@p69) :args (@t66)) % 160.97/161.25 (step-pop @p641 :rule scope :premises (@p74)) % 160.97/161.25 (step @p75 :rule process_scope :premises (@p641) :args (@t70)) % 160.97/161.25 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 160.97/161.25 (step @p78 :rule implies_elim :premises (@p77)) % 160.97/161.25 (step @p79 :rule chain_m_resolution :premises (@p78 @p69) :args (@t71 @t63 (@list @t69))) % 160.97/161.25 (step @p80 :rule instantiate :premises (@p44) :args ((@list @t48 @t46))) % 160.97/161.25 (step @p81 :rule bool-double-not-elim :args (@t8)) % 160.97/161.25 (step @p82 :rule refl :args (@t72)) % 160.97/161.25 (step @p83 :rule refl :args (@t51)) % 160.97/161.25 (step @p84 :rule nary_cong :premises (@p83 @p82 @p81) :args (@t74)) % 160.97/161.25 (step @p85 :rule aci_norm :args ((= (or @t51 (or @t72 @t73)) @t74))) % 160.97/161.25 (step @p86 :rule trans :premises (@p85 @p84)) % 160.97/161.25 (step @p87 :rule bool-and-de-morgan :args (@t36 @t35 true)) % 160.97/161.25 (step @p88 :rule nary_cong :premises (@p83 @p87) :args ((or @t51 (not (and @t36 @t35))))) % 160.97/161.25 (step @p89 :rule bool-and-de-morgan :args (@t13 @t36 (and @t35))) % 160.97/161.25 (step @p90 :rule trans :premises (@p89 @p88)) % 160.97/161.25 (step @p91 :rule trans :premises (@p90 @p86)) % 160.97/161.25 (step @p92 :rule cong :premises (@p91) :args (@t75)) % 160.97/161.25 (step @p93 :rule cong :premises (@p92) :args (@t76)) % 160.97/161.25 (step @p94 :rule exists-elim :args ((= @t38 @t76))) % 160.97/161.25 (step @p95 :rule trans :premises (@p94 @p93)) % 160.97/161.25 (step @p96 :rule refl :args (@t39)) % 160.97/161.25 (step @p97 :rule cong :premises (@p96 @p95) :args (@t40)) % 160.97/161.25 (step @p98 :rule cong :premises (@p97) :args (@t41)) % 160.97/161.25 (step @p99 :rule eq_resolve :premises (@p12 @p98)) % 160.97/161.25 (step @p100 :rule instantiate :premises (@p99) :args ((@list @t48))) % 160.97/161.25 (step @p101 :rule bool-double-not-elim :args (@t77)) % 160.97/161.25 (step @p102 :rule refl :args (@t49)) % 160.97/161.25 (step @p103 :rule refl :args (@t80)) % 160.97/161.25 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args ((or @t80 @t49 (not @t78)))) % 160.97/161.25 (step @p105 :rule cnf_equiv_pos2 :args (@t79)) % 160.97/161.25 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 160.97/161.25 (step @p107 :rule reordering :premises (@p106) :args ((or @t49 @t77 @t80))) % 160.97/161.25 (step @p108 :rule chain_m_resolution :premises (@p107 @p26 @p100) :args (@t77 @t81 (@list @t49 @t79))) % 160.97/161.25 (step @p109 :rule instantiate :premises (@p108) :args (@t82)) % 160.97/161.25 (step @p110 :rule bool-double-not-elim :args (@t26)) % 160.97/161.25 (step @p111 :rule refl :args (@t83)) % 160.97/161.25 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t83 (not @t27)))) % 160.97/161.25 (step @p113 :rule bool-and-de-morgan :args (@t28 @t27 true)) % 160.97/161.25 (step @p114 :rule trans :premises (@p113 @p112)) % 160.97/161.25 (step @p115 :rule cong :premises (@p114) :args (@t84)) % 160.97/161.25 (step @p116 :rule cong :premises (@p115) :args (@t85)) % 160.97/161.25 (step @p117 :rule exists-elim :args ((= @t31 @t85))) % 160.97/161.25 (step @p118 :rule trans :premises (@p117 @p116)) % 160.97/161.25 (step @p119 :rule refl :args (@t32)) % 160.97/161.25 (step @p120 :rule cong :premises (@p119 @p118) :args (@t33)) % 160.97/161.25 (step @p121 :rule cong :premises (@p120) :args (@t34)) % 160.97/161.25 (step @p122 :rule eq_resolve :premises (@p11 @p121)) % 160.97/161.25 (step @p123 :rule instantiate :premises (@p122) :args (@t82)) % 160.97/161.25 (step @p124 :rule instantiate :premises (@p44) :args ((@list @t46 @t86))) % 160.97/161.25 (step @p125 :rule instantiate :premises (@p69) :args (@t87)) % 160.97/161.25 (step @p126 :rule bool-eq-true :args (@t88)) % 160.97/161.25 (step @p127 :rule quant-unused-vars :args ((= (forall @t6 true) true))) % 160.97/161.25 (step @p128 :rule bool-or-taut2 :args (false @t89 false false)) % 160.97/161.25 (step @p129 :rule cong :premises (@p128) :args (@t90)) % 160.97/161.25 (step @p130 :rule trans :premises (@p129 @p127)) % 160.97/161.25 (step @p131 :rule refl :args (@t88)) % 160.97/161.25 (step @p132 :rule cong :premises (@p131 @p130) :args (@t91)) % 160.97/161.25 (step @p133 :rule trans :premises (@p132 @p126)) % 160.97/161.25 (step @p134 :rule refl :args (@t92)) % 160.97/161.25 (step @p135 :rule cong :premises (@p134 @p133) :args ((=> @t92 @t91))) % 160.97/161.25 (assume-push @p642 @t92) % 160.97/161.25 (step @p137 :rule instantiate :premises (@p44) :args (@t87)) % 160.97/161.25 (step-pop @p643 :rule scope :premises (@p137)) % 160.97/161.25 (step @p138 :rule process_scope :premises (@p643) :args (@t91)) % 160.97/161.25 (step @p140 :rule eq_resolve :premises (@p138 @p135)) % 160.97/161.25 (step @p141 :rule implies_elim :premises (@p140)) % 160.97/161.25 (step @p142 :rule chain_m_resolution :premises (@p141 @p44) :args (@t88 @t63 (@list @t92))) % 160.97/161.25 (step @p143 :rule cnf_equiv_pos1 :args (@t94)) % 160.97/161.25 (step @p144 :rule reordering :premises (@p143) :args ((or (not @t88) @t93 (not @t94)))) % 160.97/161.25 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p125) :args (@t93 @t95 (@list @t88 @t94))) % 160.97/161.25 (step @p146 :rule instantiate :premises (@p69) :args ((@list @t45 tptp.e))) % 160.97/161.25 (step @p147 :rule instantiate :premises (@p37) :args (@t96)) % 160.97/161.25 (step @p148 :rule bool-eq-true :args (@t97)) % 160.97/161.25 (step @p149 :rule eq-symm :args (true @t97)) % 160.97/161.25 (step @p150 :rule trans :premises (@p149 @p148)) % 160.97/161.25 (step @p151 :rule refl :args (@t97)) % 160.97/161.25 (step @p152 :rule eq-refl :args (@t43)) % 160.97/161.25 (step @p153 :rule cong :premises (@p152 @p151) :args (@t98)) % 160.97/161.25 (step @p154 :rule trans :premises (@p153 @p150)) % 160.97/161.25 (step @p155 :rule cong :premises (@p54 @p154) :args ((=> @t59 @t98))) % 160.97/161.25 (assume-push @p644 @t59) % 160.97/161.25 (step @p157 :rule instantiate :premises (@p48) :args (@t99)) % 160.97/161.25 (step-pop @p645 :rule scope :premises (@p157)) % 160.97/161.25 (step @p158 :rule process_scope :premises (@p645) :args (@t98)) % 160.97/161.25 (step @p160 :rule eq_resolve :premises (@p158 @p155)) % 160.97/161.25 (step @p161 :rule implies_elim :premises (@p160)) % 160.97/161.25 (step @p162 :rule chain_m_resolution :premises (@p161 @p48) :args (@t97 @t63 @t64)) % 160.97/161.25 (step @p163 :rule instantiate :premises (@p4) :args (@t100)) % 160.97/161.25 (step @p164 :rule refl :args (@t101)) % 160.97/161.25 (step @p165 :rule refl :args (@t103)) % 160.97/161.25 (step @p166 :rule bool-double-not-elim :args (@t104)) % 160.97/161.25 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164) :args ((or (not @t105) @t103 @t101))) % 160.97/161.25 (assume-push @p646 @t105) % 160.97/161.25 (assume-push @p647 @t102) % 160.97/161.25 (assume-push @p648 @t97) % 160.97/161.25 (step @p171 :rule evaluate :args ((= true false))) % 160.97/161.25 (step @p172 :rule false_intro :premises (@p163)) % 160.97/161.25 (step @p173 :rule symm :premises (@p647)) % 160.97/161.25 (step @p174 :rule refl :args (@t43)) % 160.97/161.25 (step @p175 :rule cong :premises (@p174 @p173) :args (@t97)) % 160.97/161.25 (step @p176 :rule true_intro :premises (@p162)) % 160.97/161.25 (step @p177 :rule symm :premises (@p176)) % 160.97/161.25 (step @p178 :rule trans :premises (@p177 @p175 @p172)) % 160.97/161.25 (step @p179 false :rule eq_resolve :premises (@p178 @p171)) % 160.97/161.25 (step-pop @p649 :rule scope :premises (@p179)) % 160.97/161.25 (step-pop @p650 :rule scope :premises (@p649)) % 160.97/161.25 (step-pop @p651 :rule scope :premises (@p650)) % 160.97/161.25 (step @p180 :rule process_scope :premises (@p651) :args (false)) % 160.97/161.25 (step @p184 :rule not_and :premises (@p180)) % 160.97/161.25 (step @p185 :rule eq_resolve :premises (@p184 @p167)) % 160.97/161.25 (step @p186 :rule chain_m_resolution :premises (@p185 @p163 @p162) :args (@t103 @t81 (@list @t104 @t97))) % 160.97/161.25 (step @p187 :rule instantiate :premises (@p44) :args (@t96)) % 160.97/161.25 (step @p188 :rule instantiate :premises (@p4) :args ((@list @t108))) % 160.97/161.25 (step @p189 :rule bool-double-not-elim :args (@t109)) % 160.97/161.25 (step @p190 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160.97/161.25 (step @p204 :rule eq_resolve :premises (@p203 @p198)) % 160.97/161.25 (step @p205 :rule chain_m_resolution :premises (@p204 @p195) :args (@t107 @t63 (@list @t111))) % 160.97/161.25 (step @p206 :rule cnf_equiv_pos2 :args (@t116)) % 160.97/161.25 (step @p207 :rule reordering :premises (@p206) :args ((or @t115 @t114 (not @t116)))) % 160.97/161.25 (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p187) :args (@t115 @t95 (@list @t107 @t116))) % 160.97/161.25 (step @p209 :rule cnf_or_pos :args (@t120)) % 160.97/161.25 (step @p210 :rule reordering :premises (@p209) :args ((or @t119 @t118 @t102 (not @t120)))) % 160.97/161.25 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p186 @p147) :args (@t118 (@list false true false) (@list @t115 @t102 @t120))) % 160.97/161.25 (step @p212 :rule cnf_equiv_pos2 :args (@t122)) % 160.97/161.25 (step @p213 :rule reordering :premises (@p212) :args ((or @t117 @t123 (not @t122)))) % 160.97/161.25 (step @p214 :rule 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:rule reordering :premises (@p432) :args ((or @t204 @t214 (not @t213)))) % 160.97/161.25 (step @p434 :rule chain_m_resolution :premises (@p433 @p431 @p383) :args (@t214 @t81 (@list @t204 @t213))) % 160.97/161.25 (step @p435 :rule refl :args (@t216)) % 160.97/161.25 (step @p436 :rule bool-double-not-elim :args (@t212)) % 160.97/161.25 (step @p437 :rule nary_cong :premises (@p391 @p388 @p436 @p387 @p435) :args ((or @t207 @t203 (not @t214) @t200 @t216))) % 160.97/161.25 (assume-push @p696 @t198) % 160.97/161.25 (assume-push @p697 @t202) % 160.97/161.25 (assume-push @p698 @t206) % 160.97/161.25 (assume-push @p699 @t215) % 160.97/161.25 (assume-push @p700 @t214) % 160.97/161.25 (step @p398 :rule evaluate :args (@t209)) % 160.97/161.25 (step @p399 :rule true_intro :premises (@p382)) % 160.97/161.25 (step @p400 :rule trans :premises (@p385 @p384)) % 160.97/161.25 (step @p401 :rule refl :args (tptp.e)) % 160.97/161.25 (step @p402 :rule cong :premises (@p401 @p400) :args (@t210)) % 160.97/161.25 (step @p443 :rule symm :premises (@p699)) % 160.97/161.25 (step @p444 :rule cong :premises (@p401 @p443) :args (@t212)) % 160.97/161.25 (step @p445 :rule false_intro :premises (@p700)) % 160.97/161.25 (step @p446 :rule symm :premises (@p445)) % 160.97/161.25 (step @p447 :rule trans :premises (@p446 @p444 @p402 @p399)) % 160.97/161.25 (step @p448 false :rule eq_resolve :premises (@p447 @p398)) % 160.97/161.25 (step-pop @p701 :rule scope :premises (@p448)) % 160.97/161.25 (step-pop @p702 :rule scope :premises (@p701)) % 160.97/161.25 (step-pop @p703 :rule scope :premises (@p702)) % 160.97/161.25 (step-pop @p704 :rule scope :premises (@p703)) % 160.97/161.25 (step-pop @p705 :rule scope :premises (@p704)) % 160.97/161.25 (step @p449 :rule process_scope :premises (@p705) :args (false)) % 160.97/161.25 (assume-push @p706 @t206) % 160.97/161.25 (assume-push @p707 @t202) % 160.97/161.25 (assume-push @p708 @t214) % 160.97/161.25 (assume-push @p709 @t198) % 160.97/161.25 (assume-push @p710 @t215) % 160.97/161.25 (step @p460 :rule and_intro :premises (@p382 @p384 @p385 @p710 @p708)) % 160.97/161.25 (step-pop @p711 :rule scope :premises (@p460)) % 160.97/161.25 (step-pop @p712 :rule scope :premises (@p711)) % 160.97/161.25 (step-pop @p713 :rule scope :premises (@p712)) % 160.97/161.25 (step-pop @p714 :rule scope :premises (@p713)) % 160.97/161.25 (step-pop @p715 :rule scope :premises (@p714)) % 160.97/161.25 (step @p461 :rule process_scope :premises (@p715) :args (@t217)) % 160.97/161.25 (step @p467 :rule implies_elim :premises (@p461)) % 160.97/161.25 (step @p468 :rule resolution :premises (@p467 @p449) :args (true @t217)) % 160.97/161.25 (step @p469 :rule not_and :premises (@p468)) % 160.97/161.25 (step @p470 :rule eq_resolve :premises (@p469 @p437)) % 160.97/161.25 (step @p471 :rule chain_m_resolution :premises (@p470 @p385 @p384 @p434 @p382) :args (@t216 (@list false false true false) (@list @t206 @t202 @t212 @t198))) % 160.97/161.25 (step @p472 :rule cnf_equiv_pos2 :args (@t218)) % 160.97/161.25 (step @p473 :rule reordering :premises (@p472) :args ((or @t215 @t219 (not @t218)))) % 160.97/161.25 (step @p474 :rule chain_m_resolution :premises (@p473 @p471 @p360) :args (@t219 @t81 (@list @t215 @t218))) % 160.97/161.25 (step @p475 :rule cnf_or_pos :args (@t190)) % 160.97/161.25 (step @p476 :rule reordering :premises (@p475) :args ((or @t187 @t189 (not @t190)))) % 160.97/161.25 (step @p477 :rule chain_m_resolution :premises (@p476 @p474 @p359) :args (@t189 @t81 (@list @t187 @t190))) % 160.97/161.25 (step @p478 :rule instantiate :premises (@p8) :args (@t99)) % 160.97/161.25 (step @p479 :rule instantiate :premises (@p9) :args (@t100)) % 160.97/161.25 (step @p480 :rule refl :args (@t222)) % 160.97/161.25 (step @p481 :rule bool-double-not-elim :args (@t188)) % 160.97/161.25 (step @p482 :rule refl :args (@t225)) % 160.97/161.25 (step @p483 :rule refl :args (@t227)) % 160.97/161.25 (step @p484 :rule nary_cong :premises (@p483 @p482 @p481 @p480) :args ((or @t227 @t225 (not @t189) @t222))) % 160.97/161.25 (assume-push @p716 @t226) % 160.97/161.25 (assume-push @p717 @t224) % 160.97/161.25 (assume-push @p718 @t189) % 160.97/161.25 (assume-push @p719 @t189) % 160.97/161.25 (assume-push @p720 @t226) % 160.97/161.25 (assume-push @p721 @t224) % 160.97/161.25 (step @p491 :rule false_intro :premises (@p718)) % 160.97/161.25 (step @p492 :rule symm :premises (@p479)) % 160.97/161.25 (step @p493 :rule symm :premises (@p478)) % 160.97/161.25 (step @p494 :rule trans :premises (@p493 @p492)) % 160.97/161.25 (step @p495 :rule refl :args (@t42)) % 160.97/161.25 (step @p496 :rule cong :premises (@p495 @p494) :args (@t221)) % 160.97/161.25 (step @p497 :rule trans :premises (@p496 @p491)) % 160.97/161.25 (step @p498 :rule false_elim :premises (@p497)) % 160.97/161.25 (step-pop @p722 :rule scope :premises (@p498)) % 160.97/161.25 (step-pop @p723 :rule scope :premises (@p722)) % 160.97/161.25 (step-pop @p724 :rule scope :premises (@p723)) % 160.97/161.25 (step @p499 :rule process_scope :premises (@p724) :args (@t222)) % 160.97/161.25 (step @p503 :rule and_intro :premises (@p718 @p479 @p478)) % 160.97/161.25 (step @p504 :rule modus_ponens :premises (@p503 @p499)) % 160.97/161.25 (step-pop @p725 :rule scope :premises (@p504)) % 160.97/161.25 (step-pop @p726 :rule scope :premises (@p725)) % 160.97/161.25 (step-pop @p727 :rule scope :premises (@p726)) % 160.97/161.25 (step @p505 :rule process_scope :premises (@p727) :args (@t222)) % 160.97/161.25 (step @p509 :rule implies_elim :premises (@p505)) % 160.97/161.25 (step @p510 :rule cnf_and_neg :args (@t228)) % 160.97/161.25 (step @p511 :rule resolution :premises (@p510 @p509) :args (true @t228)) % 160.97/161.25 (step @p512 :rule eq_resolve :premises (@p511 @p484)) % 160.97/161.25 (step @p513 :rule reordering :premises (@p512) :args ((or @t227 @t225 @t222 @t188))) % 160.97/161.25 (step @p514 :rule chain_m_resolution :premises (@p513 @p479 @p478 @p477) :args (@t222 @t229 (@list @t226 @t224 @t188))) % 160.97/161.25 (step @p515 :rule cnf_equiv_pos2 :args (@t232)) % 160.97/161.25 (step @p516 :rule reordering :premises (@p515) :args ((or @t221 @t233 (not @t232)))) % 160.97/161.25 (step @p517 :rule chain_m_resolution :premises (@p516 @p514 @p65) :args (@t233 @t81 (@list @t221 @t232))) % 160.97/161.25 (step @p518 :rule cnf_or_neg :args (@t231 0)) % 160.97/161.25 (step @p519 :rule reordering :premises (@p518) :args ((or @t234 @t231))) % 160.97/161.25 (step @p520 :rule chain_m_resolution :premises (@p519 @p517) :args (@t234 @t112 (@list @t231))) % 160.97/161.25 (assume-push @p728 @t57) % 160.97/161.25 (assume-push @p729 @t61) % 160.97/161.25 (assume-push @p730 @t57) % 160.97/161.25 (assume-push @p731 @t61) % 160.97/161.25 (step @p525 :rule true_intro :premises (@p728)) % 160.97/161.25 (step @p174 :rule refl :args (@t43)) % 160.97/161.25 (step @p526 :rule cong :premises (@p729 @p174) :args (@t230)) % 160.97/161.25 (step @p527 :rule trans :premises (@p526 @p525)) % 160.97/161.25 (step @p528 :rule true_elim :premises (@p527)) % 160.97/161.25 (step-pop @p732 :rule scope :premises (@p528)) % 160.97/161.25 (step-pop @p733 :rule scope :premises (@p732)) % 160.97/161.25 (step @p529 :rule process_scope :premises (@p733) :args (@t230)) % 160.97/161.25 (step @p532 :rule and_intro :premises (@p728 @p729)) % 160.97/161.25 (step @p533 :rule modus_ponens :premises (@p532 @p529)) % 160.97/161.25 (step-pop @p734 :rule scope :premises (@p533)) % 160.97/161.25 (step-pop @p735 :rule scope :premises (@p734)) % 160.97/161.25 (step @p534 :rule process_scope :premises (@p735) :args (@t230)) % 160.97/161.25 (step @p537 :rule implies_elim :premises (@p534)) % 160.97/161.25 (step @p538 :rule cnf_and_neg :args (@t235)) % 160.97/161.25 (step @p539 :rule resolution :premises (@p538 @p537) :args (true @t235)) % 160.97/161.25 (step @p540 :rule chain_m_resolution :premises (@p539 @p520 @p64 @p62) :args (@t65 (@list true false false) (@list @t230 @t61 @t62))) % 160.97/161.25 (step @p541 :rule bool-double-not-elim :args (@t57)) % 160.97/161.25 (step @p542 :rule refl :args (@t236)) % 160.97/161.25 (step @p543 :rule nary_cong :premises (@p542 @p541) :args ((or @t236 (not @t65)))) % 160.97/161.25 (step @p544 :rule cnf_or_neg :args (@t236 0)) % 160.97/161.25 (step @p545 :rule eq_resolve :premises (@p544 @p543)) % 160.97/161.25 (step @p546 :rule reordering :premises (@p545) :args ((or @t57 @t236))) % 160.97/161.25 (step @p547 :rule chain_m_resolution :premises (@p546 @p540) :args (@t236 @t112 (@list @t57))) % 160.97/161.25 (step @p548 :rule refl :args (@t237)) % 160.97/161.25 (step @p549 :rule bool-double-not-elim :args (@t55)) % 160.97/161.25 (step @p550 :rule nary_cong :premises (@p549 @p548) :args ((or (not @t238) @t237))) % 160.97/161.25 (assume-push @p736 @t238) % 160.97/161.25 (step @p552 :rule skolemize :premises (@p736)) % 160.97/161.25 (step-pop @p737 :rule scope :premises (@p552)) % 160.97/161.25 (step @p553 :rule process_scope :premises (@p737) :args (@t237)) % 160.97/161.25 (step @p555 :rule implies_elim :premises (@p553)) % 160.97/161.25 (step @p556 :rule eq_resolve :premises (@p555 @p550)) % 160.97/161.25 (step @p557 :rule chain_m_resolution :premises (@p556 @p547) :args (@t55 @t63 (@list @t236))) % 160.97/161.25 (step @p558 :rule cnf_equiv_pos2 :args (@t240)) % 160.97/161.25 (step @p559 :rule reordering :premises (@p558) :args ((or @t239 @t238 (not @t240)))) % 160.97/161.25 (step @p560 :rule chain_m_resolution :premises (@p559 @p557 @p45) :args (@t239 @t95 (@list @t55 @t240))) % 160.97/161.25 (step @p561 :rule instantiate :premises (@p44) :args (@t52)) % 160.97/161.25 (step @p562 :rule instantiate :premises (@p4) :args ((@list @t242))) % 160.97/161.25 (step @p563 :rule bool-double-not-elim :args (@t243)) % 160.97/161.25 (step @p564 :rule refl :args (@t245)) % 160.97/161.25 (step @p565 :rule nary_cong :premises (@p564 @p563) :args ((or @t245 (not @t244)))) % 160.97/161.25 (step @p566 :rule cnf_or_neg :args (@t245 0)) % 160.97/161.25 (step @p567 :rule eq_resolve :premises (@p566 @p565)) % 160.97/161.25 (step @p568 :rule reordering :premises (@p567) :args ((or @t243 @t245))) % 160.97/161.25 (step @p569 :rule chain_m_resolution :premises (@p568 @p562) :args (@t245 @t112 (@list @t243))) % 160.97/161.25 (step @p570 :rule refl :args (@t246)) % 160.97/161.25 (step @p571 :rule bool-double-not-elim :args (@t241)) % 160.97/161.25 (step @p572 :rule nary_cong :premises (@p571 @p570) :args ((or (not @t247) @t246))) % 160.97/161.25 (assume-push @p738 @t247) % 160.97/161.25 (step @p574 :rule skolemize :premises (@p738)) % 160.97/161.25 (step-pop @p739 :rule scope :premises (@p574)) % 160.97/161.25 (step @p575 :rule process_scope :premises (@p739) :args (@t246)) % 160.97/161.25 (step @p577 :rule implies_elim :premises (@p575)) % 160.97/161.25 (step @p578 :rule eq_resolve :premises (@p577 @p572)) % 160.97/161.25 (step @p579 :rule chain_m_resolution :premises (@p578 @p569) :args (@t241 @t63 (@list @t245))) % 160.97/161.25 (step @p580 :rule cnf_equiv_pos2 :args (@t249)) % 160.97/161.25 (step @p581 :rule reordering :premises (@p580) :args ((or @t248 @t247 (not @t249)))) % 160.97/161.25 (step @p582 :rule chain_m_resolution :premises (@p581 @p579 @p561) :args (@t248 @t95 (@list @t241 @t249))) % 160.97/161.25 (step @p583 :rule cnf_or_pos :args (@t253)) % 160.97/161.25 (step @p584 :rule reordering :premises (@p583) :args ((or @t252 @t251 @t250 (not @t253)))) % 160.97/161.25 (step @p585 :rule chain_m_resolution :premises (@p584 @p582 @p560 @p38) :args (@t250 @t169 (@list @t248 @t239 @t253))) % 160.97/161.25 (step @p586 :rule eq-symm :args (@t44 @t42)) % 160.97/161.25 (step @p587 :rule refl :args (@t182)) % 160.97/161.25 (step @p588 :rule cong :premises (@p587 @p586) :args ((= @t182 @t254))) % 160.97/161.25 (step @p589 :rule eq-symm :args (@t254 @t182)) % 160.97/161.25 (step @p590 :rule trans :premises (@p589 @p588)) % 160.97/161.25 (step @p591 :rule cong :premises (@p54 @p590) :args ((=> @t59 @t255))) % 160.97/161.25 (assume-push @p740 @t59) % 160.97/161.25 (step @p593 :rule instantiate :premises (@p48) :args ((@list @t44 @t42))) % 160.97/161.25 (step-pop @p741 :rule scope :premises (@p593)) % 160.97/161.25 (step @p594 :rule process_scope :premises (@p741) :args (@t255)) % 160.97/161.25 (step @p596 :rule eq_resolve :premises (@p594 @p591)) % 160.97/161.25 (step @p597 :rule implies_elim :premises (@p596)) % 160.97/161.25 (step @p598 :rule chain_m_resolution :premises (@p597 @p48) :args (@t257 @t63 @t64)) % 160.97/161.25 (assume-push @p742 @t250) % 160.97/161.25 (assume-push @p743 @t250) % 160.97/161.25 (step @p601 :rule cong :premises (@p742) :args (@t42)) % 160.97/161.25 (step-pop @p744 :rule scope :premises (@p601)) % 160.97/161.25 (step @p602 :rule process_scope :premises (@p744) :args (@t256)) % 160.97/161.25 (step @p604 :rule modus_ponens :premises (@p742 @p602)) % 160.97/161.25 (step-pop @p745 :rule scope :premises (@p604)) % 160.97/161.25 (step @p605 :rule process_scope :premises (@p745) :args (@t256)) % 160.97/161.25 (step @p607 :rule implies_elim :premises (@p605)) % 160.97/161.25 (step @p608 :rule chain_m_resolution :premises (@p607 @p585) :args (@t256 @t63 (@list @t250))) % 160.97/161.25 (step @p609 :rule cnf_equiv_pos2 :args (@t257)) % 160.97/161.25 (step @p610 :rule reordering :premises (@p609) :args ((or @t182 (not @t256) (not @t257)))) % 160.97/161.25 (step @p611 :rule chain_m_resolution :premises (@p610 @p608 @p598) :args (@t182 @t95 (@list @t256 @t257))) % 160.97/161.25 (step @p612 :rule refl :args (@t258)) % 160.97/161.25 (step @p613 :rule bool-double-not-elim :args (@t259)) % 160.97/161.25 (step @p614 :rule refl :args (@t260)) % 160.97/161.25 (step @p615 :rule nary_cong :premises (@p614 @p613 @p612) :args ((or @t260 (not @t261) @t258))) % 160.97/161.25 (assume-push @p746 @t250) % 160.97/161.25 (assume-push @p747 @t261) % 160.97/161.25 (assume-push @p748 @t261) % 160.97/161.25 (assume-push @p749 @t250) % 160.97/161.25 (step @p620 :rule false_intro :premises (@p28)) % 160.97/161.25 (step @p621 :rule symm :premises (@p746)) % 160.97/161.25 (step @p622 :rule cong :premises (@p336 @p621) :args (@t182)) % 160.97/161.25 (step @p623 :rule trans :premises (@p622 @p620)) % 160.97/161.25 (step @p624 :rule false_elim :premises (@p623)) % 160.97/161.25 (step-pop @p750 :rule scope :premises (@p624)) % 160.97/161.25 (step-pop @p751 :rule scope :premises (@p750)) % 160.97/161.25 (step @p625 :rule process_scope :premises (@p751) :args (@t258)) % 160.97/161.25 (step @p628 :rule and_intro :premises (@p28 @p746)) % 160.97/161.25 (step @p629 :rule modus_ponens :premises (@p628 @p625)) % 160.97/161.25 (step-pop @p752 :rule scope :premises (@p629)) % 160.97/161.25 (step-pop @p753 :rule scope :premises (@p752)) % 160.97/161.25 (step @p630 :rule process_scope :premises (@p753) :args (@t258)) % 160.97/161.25 (step @p633 :rule implies_elim :premises (@p630)) % 160.97/161.25 (step @p634 :rule cnf_and_neg :args (@t262)) % 160.97/161.25 (step @p635 :rule resolution :premises (@p634 @p633) :args (true @t262)) % 160.97/161.25 (step @p636 :rule eq_resolve :premises (@p635 @p615)) % 160.97/161.25 (step @p637 false :rule chain_m_resolution :premises (@p636 @p611 @p585 @p28) :args (false @t229 (@list @t182 @t250 @t259))) % 160.97/161.25 ) % 160.97/161.25 % SZS output end Proof % 160.97/161.25 % cvc5 exiting %------------------------------------------------------------------------------