%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO111+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:16:22 AM UTC 2026 % Result : Theorem 35.43s 35.64s % Output : Proof 35.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO111+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 : Mon Jun 1 23:24:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 35.43/35.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.43/35.64 --- Run --no-e-matching --full-saturate-quant at 6... % 35.43/35.64 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.43/35.64 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.43/35.64 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.43/35.64 % SZS status Theorem % 35.43/35.64 % SZS output start Proof % 35.43/35.64 ( % 35.43/35.64 (declare-sort $$unsorted 0) % 35.43/35.64 (declare-const tptp.between_c (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 35.43/35.64 (declare-const tptp.open (-> $$unsorted Bool)) % 35.43/35.64 (declare-const tptp.closed (-> $$unsorted Bool)) % 35.43/35.64 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.43/35.64 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 35.43/35.64 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 35.43/35.64 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 35.43/35.64 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 35.43/35.64 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 35.43/35.64 (define @t1 () (@var "C" $$unsorted)) % 35.43/35.64 (define @t2 () (@var "P" $$unsorted)) % 35.43/35.64 (define @t3 () (tptp.incident_c @t2 @t1)) % 35.43/35.64 (define @t4 () (@var "C1" $$unsorted)) % 35.43/35.64 (define @t5 () (tptp.incident_c @t2 @t4)) % 35.43/35.64 (define @t6 () (@list @t2)) % 35.43/35.64 (define @t7 () (forall @t6 (=> @t5 @t3))) % 35.43/35.64 (define @t8 () (tptp.part_of @t4 @t1)) % 35.43/35.64 (define @t9 () (= @t8 @t7)) % 35.43/35.64 (define @t10 () (@list @t1 @t4)) % 35.43/35.64 (define @t11 () (forall @t10 @t9)) % 35.43/35.64 (define @t12 () (@var "C2" $$unsorted)) % 35.43/35.64 (define @t13 () (@var "Q" $$unsorted)) % 35.43/35.64 (define @t14 () (tptp.incident_c @t13 @t4)) % 35.43/35.64 (define @t15 () (tptp.incident_c @t13 @t1)) % 35.43/35.64 (define @t16 () (@list @t13)) % 35.43/35.64 (define @t17 () (= @t1 (tptp.sum @t4 @t12))) % 35.43/35.64 (define @t18 () (tptp.part_of @t12 @t4)) % 35.43/35.64 (define @t19 () (tptp.part_of @t4 @t12)) % 35.43/35.64 (define @t20 () (or @t19 @t18)) % 35.43/35.64 (define @t21 () (tptp.incident_c @t2 @t12)) % 35.43/35.64 (define @t22 () (tptp.part_of @t12 @t1)) % 35.43/35.64 (define @t23 () (and @t8 @t22 @t5 @t21)) % 35.43/35.64 (define @t24 () (@list @t4 @t12)) % 35.43/35.64 (define @t25 () (forall @t24 (=> @t23 @t20))) % 35.43/35.64 (define @t26 () (and @t3 @t25)) % 35.43/35.64 (define @t27 () (tptp.end_point @t2 @t1)) % 35.43/35.64 (define @t28 () (= @t27 @t26)) % 35.43/35.64 (define @t29 () (@list @t2 @t1)) % 35.43/35.64 (define @t30 () (forall @t29 @t28)) % 35.43/35.64 (define @t31 () (tptp.inner_point @t2 @t1)) % 35.43/35.64 (define @t32 () (tptp.end_point @t13 @t4)) % 35.43/35.64 (define @t33 () (tptp.end_point @t13 @t1)) % 35.43/35.64 (define @t34 () (exists @t6 @t27)) % 35.43/35.64 (define @t35 () (tptp.closed @t1)) % 35.43/35.64 (define @t36 () (@list @t1)) % 35.43/35.64 (define @t37 () (@var "C3" $$unsorted)) % 35.43/35.64 (define @t38 () (tptp.meet @t2 @t4 @t12)) % 35.43/35.64 (define @t39 () (@list @t1 @t2)) % 35.43/35.64 (define @t40 () (@var "R" $$unsorted)) % 35.43/35.64 (define @t41 () (= @t13 @t40)) % 35.43/35.64 (define @t42 () (= @t2 @t40)) % 35.43/35.64 (define @t43 () (= @t2 @t13)) % 35.43/35.64 (define @t44 () (@list @t1 @t2 @t13 @t40)) % 35.43/35.64 (define @t45 () (not @t43)) % 35.43/35.64 (define @t46 () (@var "Cpp" $$unsorted)) % 35.43/35.64 (define @t47 () (tptp.inner_point @t13 @t46)) % 35.43/35.64 (define @t48 () (tptp.end_point @t40 @t46)) % 35.43/35.64 (define @t49 () (tptp.end_point @t2 @t46)) % 35.43/35.64 (define @t50 () (tptp.part_of @t46 @t1)) % 35.43/35.64 (define @t51 () (and @t50 @t49 @t48 @t47)) % 35.43/35.64 (define @t52 () (@list @t46)) % 35.43/35.64 (define @t53 () (exists @t52 @t51)) % 35.43/35.64 (define @t54 () (not @t42)) % 35.43/35.64 (define @t55 () (and @t54 @t53)) % 35.43/35.64 (define @t56 () (tptp.between_c @t1 @t2 @t13 @t40)) % 35.43/35.64 (define @t57 () (= @t56 @t55)) % 35.43/35.64 (define @t58 () (forall @t44 @t57)) % 35.43/35.64 (define @t59 () (not @t41)) % 35.43/35.64 (define @t60 () (tptp.incident_c @t40 @t1)) % 35.43/35.64 (define @t61 () (and @t3 @t15 @t60 @t45 @t59 @t54)) % 35.43/35.64 (define @t62 () (forall @t44 (=> @t56 @t61))) % 35.43/35.64 (define @t63 () (not @t62)) % 35.43/35.64 (define @t64 () (not @t47)) % 35.43/35.64 (define @t65 () (not @t48)) % 35.43/35.64 (define @t66 () (not @t49)) % 35.43/35.64 (define @t67 () (not @t50)) % 35.43/35.64 (define @t68 () (or @t67 @t66 @t65 @t64)) % 35.43/35.64 (define @t69 () (forall @t52 (not @t51))) % 35.43/35.64 (define @t70 () (not @t69)) % 35.43/35.64 (define @t71 () (@var "BOUND_VARIABLE_7820" $$unsorted)) % 35.43/35.64 (define @t72 () (@var "BOUND_VARIABLE_7816" $$unsorted)) % 35.43/35.64 (define @t73 () (@var "BOUND_VARIABLE_7814" $$unsorted)) % 35.43/35.64 (define @t74 () (not (tptp.between_c @t73 @t72 @t71 @t71))) % 35.43/35.64 (define @t75 () (@list @t73 @t72 @t71)) % 35.43/35.64 (define @t76 () (forall @t75 @t74)) % 35.43/35.64 (define @t77 () (@quantifiers_skolemize @t76 2)) % 35.43/35.64 (define @t78 () (@quantifiers_skolemize @t76 1)) % 35.43/35.64 (define @t79 () (@quantifiers_skolemize @t76 0)) % 35.43/35.64 (define @t80 () (forall @t52 (or (not (tptp.part_of @t46 @t79)) (not (tptp.end_point @t78 @t46)) (not (tptp.end_point @t77 @t46)) (not (tptp.inner_point @t77 @t46))))) % 35.43/35.64 (define @t81 () (@quantifiers_skolemize @t80 0)) % 35.43/35.64 (define @t82 () (tptp.end_point @t77 @t81)) % 35.43/35.64 (define @t83 () (tptp.inner_point @t77 @t81)) % 35.43/35.64 (define @t84 () (not @t83)) % 35.43/35.64 (define @t85 () (not @t82)) % 35.43/35.64 (define @t86 () (or (not (tptp.part_of @t81 @t79)) (not (tptp.end_point @t78 @t81)) @t85 @t84)) % 35.43/35.64 (define @t87 () (and (tptp.incident_c @t77 @t81) @t85)) % 35.43/35.64 (define @t88 () (= @t83 @t87)) % 35.43/35.64 (define @t89 () (@list false true false false)) % 35.43/35.64 (define @t90 () (not @t86)) % 35.43/35.64 (define @t91 () (not @t80)) % 35.43/35.64 (define @t92 () (@list false)) % 35.43/35.64 (define @t93 () (and (not (= @t78 @t77)) @t91)) % 35.43/35.64 (define @t94 () (not @t93)) % 35.43/35.64 (define @t95 () (tptp.between_c @t79 @t78 @t77 @t77)) % 35.43/35.64 (define @t96 () (= @t95 @t93)) % 35.43/35.64 (define @t97 () (not @t95)) % 35.43/35.64 (define @t98 () (@list true false)) % 35.43/35.64 (define @t99 () (not @t76)) % 35.43/35.64 (define @t100 () (not @t97)) % 35.43/35.64 (define @t101 () (@list true)) % 35.43/35.64 (define @t102 () (@var "BOUND_VARIABLE_7804" $$unsorted)) % 35.43/35.64 (define @t103 () (@var "BOUND_VARIABLE_7802" $$unsorted)) % 35.43/35.64 (define @t104 () (@var "BOUND_VARIABLE_7798" $$unsorted)) % 35.43/35.64 (define @t105 () (not (tptp.between_c @t104 @t103 @t103 @t102))) % 35.43/35.64 (define @t106 () (@list @t104 @t103 @t102)) % 35.43/35.64 (define @t107 () (forall @t106 @t105)) % 35.43/35.64 (define @t108 () (@quantifiers_skolemize @t107 2)) % 35.43/35.64 (define @t109 () (@quantifiers_skolemize @t107 1)) % 35.43/35.64 (define @t110 () (@quantifiers_skolemize @t107 0)) % 35.43/35.64 (define @t111 () (forall @t52 (or (not (tptp.part_of @t46 @t110)) (not (tptp.end_point @t109 @t46)) (not (tptp.end_point @t108 @t46)) (not (tptp.inner_point @t109 @t46))))) % 35.43/35.64 (define @t112 () (@quantifiers_skolemize @t111 0)) % 35.43/35.64 (define @t113 () (tptp.end_point @t109 @t112)) % 35.43/35.64 (define @t114 () (tptp.inner_point @t109 @t112)) % 35.43/35.64 (define @t115 () (not @t114)) % 35.43/35.64 (define @t116 () (not @t113)) % 35.43/35.64 (define @t117 () (or (not (tptp.part_of @t112 @t110)) @t116 (not (tptp.end_point @t108 @t112)) @t115)) % 35.43/35.64 (define @t118 () (and (tptp.incident_c @t109 @t112) @t116)) % 35.43/35.64 (define @t119 () (= @t114 @t118)) % 35.43/35.64 (define @t120 () (not @t117)) % 35.43/35.64 (define @t121 () (not @t111)) % 35.43/35.64 (define @t122 () (and (not (= @t109 @t108)) @t121)) % 35.43/35.64 (define @t123 () (not @t122)) % 35.43/35.64 (define @t124 () (tptp.between_c @t110 @t109 @t109 @t108)) % 35.43/35.64 (define @t125 () (= @t124 @t122)) % 35.43/35.64 (define @t126 () (not @t124)) % 35.43/35.64 (define @t127 () (not @t107)) % 35.43/35.64 (define @t128 () (not @t126)) % 35.43/35.64 (define @t129 () (@var "BOUND_VARIABLE_7789" $$unsorted)) % 35.43/35.64 (define @t130 () (@var "BOUND_VARIABLE_7787" $$unsorted)) % 35.43/35.64 (define @t131 () (@var "BOUND_VARIABLE_7785" $$unsorted)) % 35.43/35.64 (define @t132 () (@var "BOUND_VARIABLE_7783" $$unsorted)) % 35.43/35.64 (define @t133 () (forall (@list @t132 @t131 @t130 @t129) (or (tptp.incident_c @t129 @t132) (not (tptp.between_c @t132 @t131 @t130 @t129))))) % 35.43/35.64 (define @t134 () (@quantifiers_skolemize @t133 3)) % 35.43/35.64 (define @t135 () (@quantifiers_skolemize @t133 2)) % 35.43/35.64 (define @t136 () (@quantifiers_skolemize @t133 1)) % 35.43/35.64 (define @t137 () (@quantifiers_skolemize @t133 0)) % 35.43/35.64 (define @t138 () (tptp.between_c @t137 @t136 @t135 @t134)) % 35.43/35.64 (define @t139 () (not @t138)) % 35.43/35.64 (define @t140 () (tptp.incident_c @t134 @t137)) % 35.43/35.64 (define @t141 () (or @t140 @t139)) % 35.43/35.64 (define @t142 () (forall @t52 (or (not (tptp.part_of @t46 @t137)) (not (tptp.end_point @t136 @t46)) (not (tptp.end_point @t134 @t46)) (not (tptp.inner_point @t135 @t46))))) % 35.43/35.64 (define @t143 () (not @t142)) % 35.43/35.64 (define @t144 () (and (not (= @t136 @t134)) @t143)) % 35.43/35.64 (define @t145 () (= @t138 @t144)) % 35.43/35.64 (define @t146 () (@quantifiers_skolemize @t142 0)) % 35.43/35.64 (define @t147 () (tptp.end_point @t134 @t146)) % 35.43/35.64 (define @t148 () (not @t147)) % 35.43/35.64 (define @t149 () (tptp.part_of @t146 @t137)) % 35.43/35.64 (define @t150 () (not @t149)) % 35.43/35.64 (define @t151 () (or @t150 (not (tptp.end_point @t136 @t146)) @t148 (not (tptp.inner_point @t135 @t146)))) % 35.43/35.64 (define @t152 () (not @t151)) % 35.43/35.64 (define @t153 () (forall @t6 (or (not (tptp.incident_c @t2 @t146)) (tptp.incident_c @t2 @t137)))) % 35.43/35.64 (define @t154 () (= @t149 @t153)) % 35.43/35.64 (define @t155 () (not @t21)) % 35.43/35.64 (define @t156 () (not @t5)) % 35.43/35.64 (define @t157 () (not @t22)) % 35.43/35.64 (define @t158 () (not @t8)) % 35.43/35.64 (define @t159 () (or @t158 @t157 @t156 @t155)) % 35.43/35.64 (define @t160 () (tptp.incident_c @t134 @t146)) % 35.43/35.64 (define @t161 () (and @t160 (forall @t24 (or (not (tptp.part_of @t4 @t146)) (not (tptp.part_of @t12 @t146)) (not (tptp.incident_c @t134 @t4)) (not (tptp.incident_c @t134 @t12)) @t19 @t18)))) % 35.43/35.64 (define @t162 () (= @t147 @t161)) % 35.43/35.64 (define @t163 () (not @t160)) % 35.43/35.64 (define @t164 () (or @t163 @t140)) % 35.43/35.64 (define @t165 () (@list true false false false false false false false true true false false false true)) % 35.43/35.64 (define @t166 () (not @t141)) % 35.43/35.64 (define @t167 () (not @t133)) % 35.43/35.64 (define @t168 () (@var "BOUND_VARIABLE_7775" $$unsorted)) % 35.43/35.64 (define @t169 () (@var "BOUND_VARIABLE_7773" $$unsorted)) % 35.43/35.64 (define @t170 () (@var "BOUND_VARIABLE_7771" $$unsorted)) % 35.43/35.64 (define @t171 () (@var "BOUND_VARIABLE_7769" $$unsorted)) % 35.43/35.64 (define @t172 () (forall (@list @t171 @t170 @t169 @t168) (or (tptp.incident_c @t169 @t171) (not (tptp.between_c @t171 @t170 @t169 @t168))))) % 35.43/35.64 (define @t173 () (@quantifiers_skolemize @t172 3)) % 35.43/35.64 (define @t174 () (@quantifiers_skolemize @t172 2)) % 35.43/35.64 (define @t175 () (@quantifiers_skolemize @t172 1)) % 35.43/35.64 (define @t176 () (@quantifiers_skolemize @t172 0)) % 35.43/35.64 (define @t177 () (tptp.between_c @t176 @t175 @t174 @t173)) % 35.43/35.64 (define @t178 () (not @t177)) % 35.43/35.64 (define @t179 () (tptp.incident_c @t174 @t176)) % 35.43/35.64 (define @t180 () (or @t179 @t178)) % 35.43/35.64 (define @t181 () (forall @t52 (or (not (tptp.part_of @t46 @t176)) (not (tptp.end_point @t175 @t46)) (not (tptp.end_point @t173 @t46)) (not (tptp.inner_point @t174 @t46))))) % 35.43/35.64 (define @t182 () (not @t181)) % 35.43/35.64 (define @t183 () (and (not (= @t175 @t173)) @t182)) % 35.43/35.64 (define @t184 () (= @t177 @t183)) % 35.43/35.64 (define @t185 () (@quantifiers_skolemize @t181 0)) % 35.43/35.64 (define @t186 () (tptp.inner_point @t174 @t185)) % 35.43/35.64 (define @t187 () (not @t186)) % 35.43/35.64 (define @t188 () (tptp.part_of @t185 @t176)) % 35.43/35.64 (define @t189 () (not @t188)) % 35.43/35.64 (define @t190 () (or @t189 (not (tptp.end_point @t175 @t185)) (not (tptp.end_point @t173 @t185)) @t187)) % 35.43/35.64 (define @t191 () (not @t190)) % 35.43/35.64 (define @t192 () (forall @t6 (or (not (tptp.incident_c @t2 @t185)) (tptp.incident_c @t2 @t176)))) % 35.43/35.64 (define @t193 () (= @t188 @t192)) % 35.43/35.64 (define @t194 () (tptp.incident_c @t174 @t185)) % 35.43/35.64 (define @t195 () (and @t194 (not (tptp.end_point @t174 @t185)))) % 35.43/35.64 (define @t196 () (= @t186 @t195)) % 35.43/35.64 (define @t197 () (not @t194)) % 35.43/35.64 (define @t198 () (or @t197 @t179)) % 35.43/35.64 (define @t199 () (not @t180)) % 35.43/35.64 (define @t200 () (not @t172)) % 35.43/35.64 (define @t201 () (@var "BOUND_VARIABLE_7761" $$unsorted)) % 35.43/35.64 (define @t202 () (@var "BOUND_VARIABLE_7759" $$unsorted)) % 35.43/35.64 (define @t203 () (@var "BOUND_VARIABLE_7757" $$unsorted)) % 35.43/35.64 (define @t204 () (@var "BOUND_VARIABLE_7755" $$unsorted)) % 35.43/35.64 (define @t205 () (forall (@list @t204 @t203 @t202 @t201) (or (tptp.incident_c @t203 @t204) (not (tptp.between_c @t204 @t203 @t202 @t201))))) % 35.43/35.64 (define @t206 () (@quantifiers_skolemize @t205 3)) % 35.43/35.64 (define @t207 () (@quantifiers_skolemize @t205 2)) % 35.43/35.64 (define @t208 () (@quantifiers_skolemize @t205 1)) % 35.43/35.64 (define @t209 () (@quantifiers_skolemize @t205 0)) % 35.43/35.64 (define @t210 () (tptp.between_c @t209 @t208 @t207 @t206)) % 35.43/35.64 (define @t211 () (not @t210)) % 35.43/35.64 (define @t212 () (tptp.incident_c @t208 @t209)) % 35.43/35.64 (define @t213 () (or @t212 @t211)) % 35.43/35.64 (define @t214 () (forall @t52 (or (not (tptp.part_of @t46 @t209)) (not (tptp.end_point @t208 @t46)) (not (tptp.end_point @t206 @t46)) (not (tptp.inner_point @t207 @t46))))) % 35.43/35.64 (define @t215 () (not @t214)) % 35.43/35.64 (define @t216 () (and (not (= @t208 @t206)) @t215)) % 35.43/35.64 (define @t217 () (= @t210 @t216)) % 35.43/35.64 (define @t218 () (@quantifiers_skolemize @t214 0)) % 35.43/35.64 (define @t219 () (tptp.end_point @t208 @t218)) % 35.43/35.64 (define @t220 () (not @t219)) % 35.43/35.64 (define @t221 () (tptp.part_of @t218 @t209)) % 35.43/35.64 (define @t222 () (not @t221)) % 35.43/35.64 (define @t223 () (or @t222 @t220 (not (tptp.end_point @t206 @t218)) (not (tptp.inner_point @t207 @t218)))) % 35.43/35.64 (define @t224 () (not @t223)) % 35.43/35.64 (define @t225 () (forall @t6 (or (not (tptp.incident_c @t2 @t218)) (tptp.incident_c @t2 @t209)))) % 35.43/35.64 (define @t226 () (= @t221 @t225)) % 35.43/35.64 (define @t227 () (tptp.incident_c @t208 @t218)) % 35.43/35.64 (define @t228 () (and @t227 (forall @t24 (or (not (tptp.part_of @t4 @t218)) (not (tptp.part_of @t12 @t218)) (not (tptp.incident_c @t208 @t4)) (not (tptp.incident_c @t208 @t12)) @t19 @t18)))) % 35.43/35.64 (define @t229 () (= @t219 @t228)) % 35.43/35.64 (define @t230 () (not @t227)) % 35.43/35.64 (define @t231 () (or @t230 @t212)) % 35.43/35.64 (define @t232 () (not @t213)) % 35.43/35.64 (define @t233 () (not @t205)) % 35.43/35.64 (define @t234 () (@var "BOUND_VARIABLE_7836" $$unsorted)) % 35.43/35.64 (define @t235 () (@var "BOUND_VARIABLE_7834" $$unsorted)) % 35.43/35.64 (define @t236 () (@var "BOUND_VARIABLE_7830" $$unsorted)) % 35.43/35.64 (define @t237 () (not (tptp.between_c @t236 @t234 @t235 @t234))) % 35.43/35.64 (define @t238 () (not (= @t234 @t234))) % 35.43/35.64 (define @t239 () (or @t238 @t237)) % 35.43/35.64 (define @t240 () (@list @t236 @t235 @t234)) % 35.43/35.64 (define @t241 () (@var "BOUND_VARIABLE_7832" $$unsorted)) % 35.43/35.64 (define @t242 () (not (tptp.between_c @t236 @t241 @t235 @t234))) % 35.43/35.64 (define @t243 () (not (= @t241 @t234))) % 35.43/35.64 (define @t244 () (or @t243 @t243 @t242)) % 35.43/35.64 (define @t245 () (@list @t241)) % 35.43/35.64 (define @t246 () (or @t243 @t242)) % 35.43/35.64 (define @t247 () (forall @t245 @t246)) % 35.43/35.64 (define @t248 () (forall @t240 @t247)) % 35.43/35.64 (define @t249 () (forall (@list @t236 @t235 @t234 @t241) @t246)) % 35.43/35.64 (define @t250 () (forall (@list @t236 @t241 @t235 @t234) @t246)) % 35.43/35.64 (define @t251 () (not (= @t71 @t71))) % 35.43/35.64 (define @t252 () (or @t251 @t74)) % 35.43/35.64 (define @t253 () (@var "BOUND_VARIABLE_7818" $$unsorted)) % 35.43/35.64 (define @t254 () (not (tptp.between_c @t73 @t72 @t253 @t71))) % 35.43/35.64 (define @t255 () (not (= @t253 @t71))) % 35.43/35.64 (define @t256 () (or @t255 @t255 @t254)) % 35.43/35.64 (define @t257 () (@list @t253)) % 35.43/35.64 (define @t258 () (or @t255 @t254)) % 35.43/35.64 (define @t259 () (forall @t257 @t258)) % 35.43/35.64 (define @t260 () (forall @t75 @t259)) % 35.43/35.64 (define @t261 () (forall (@list @t73 @t72 @t71 @t253) @t258)) % 35.43/35.64 (define @t262 () (forall (@list @t73 @t72 @t253 @t71) @t258)) % 35.43/35.64 (define @t263 () (not (= @t103 @t103))) % 35.43/35.64 (define @t264 () (or @t263 @t105)) % 35.43/35.64 (define @t265 () (@var "BOUND_VARIABLE_7800" $$unsorted)) % 35.43/35.64 (define @t266 () (not (tptp.between_c @t104 @t265 @t103 @t102))) % 35.43/35.64 (define @t267 () (not (= @t265 @t103))) % 35.43/35.64 (define @t268 () (or @t267 @t267 @t266)) % 35.43/35.64 (define @t269 () (@list @t265)) % 35.43/35.64 (define @t270 () (or @t267 @t266)) % 35.43/35.64 (define @t271 () (forall @t269 @t270)) % 35.43/35.64 (define @t272 () (forall @t106 @t271)) % 35.43/35.64 (define @t273 () (forall (@list @t104 @t103 @t102 @t265) @t270)) % 35.43/35.64 (define @t274 () (forall (@list @t104 @t265 @t103 @t102) @t270)) % 35.43/35.64 (define @t275 () (not @t56)) % 35.43/35.64 (define @t276 () (or @t54 @t275)) % 35.43/35.64 (define @t277 () (forall @t44 @t276)) % 35.43/35.64 (define @t278 () (@list @t1 @t2 @t13 @t40)) % 35.43/35.64 (define @t279 () (or @t59 @t275)) % 35.43/35.64 (define @t280 () (forall @t44 @t279)) % 35.43/35.64 (define @t281 () (or @t45 @t275)) % 35.43/35.64 (define @t282 () (forall @t44 @t281)) % 35.43/35.64 (define @t283 () (or @t60 @t275)) % 35.43/35.64 (define @t284 () (forall @t44 @t283)) % 35.43/35.64 (define @t285 () (or @t15 @t275)) % 35.43/35.64 (define @t286 () (forall @t44 @t285)) % 35.43/35.64 (define @t287 () (or @t3 @t275)) % 35.43/35.64 (define @t288 () (forall @t44 @t287)) % 35.43/35.64 (define @t289 () (and @t288 @t286 @t284 @t282 @t280 @t277)) % 35.43/35.64 (define @t290 () (and @t287 @t285 @t283 @t281 @t279 @t276)) % 35.43/35.64 (define @t291 () (or @t61 @t275)) % 35.43/35.64 (define @t292 () (or @t275 @t61)) % 35.43/35.64 (define @t293 () (forall @t240 @t237)) % 35.43/35.64 (define @t294 () (not @t293)) % 35.43/35.64 (define @t295 () (@quantifiers_skolemize @t293 2)) % 35.43/35.64 (define @t296 () (@quantifiers_skolemize @t293 1)) % 35.43/35.64 (define @t297 () (@quantifiers_skolemize @t293 0)) % 35.43/35.64 (define @t298 () (tptp.between_c @t297 @t295 @t296 @t295)) % 35.43/35.64 (define @t299 () (not (not @t298))) % 35.43/35.64 (define @t300 () (not (tptp.inner_point @t296 @t46))) % 35.43/35.64 (define @t301 () (not (tptp.end_point @t295 @t46))) % 35.43/35.64 (define @t302 () (not (tptp.part_of @t46 @t297))) % 35.43/35.64 (define @t303 () (or @t302 @t301 @t300)) % 35.43/35.64 (define @t304 () (or @t302 @t301 @t301 @t300)) % 35.43/35.64 (define @t305 () (forall @t52 @t304)) % 35.43/35.64 (define @t306 () (not @t305)) % 35.43/35.64 (define @t307 () (not (= @t295 @t295))) % 35.43/35.64 (define @t308 () (and @t307 @t306)) % 35.43/35.64 (define @t309 () (= @t298 @t308)) % 35.43/35.64 (define @t310 () (forall @t44 (= @t56 (and @t54 (not (forall @t52 @t68)))))) % 35.43/35.64 (assume @p1 @t11) % 35.43/35.64 (assume @p2 (forall (@list @t1 @t4 @t12) (= @t17 (forall @t16 (= @t15 (or @t14 (tptp.incident_c @t13 @t12))))))) % 35.43/35.64 (assume @p3 @t30) % 35.43/35.64 (assume @p4 (forall @t29 (= @t31 (and @t3 (not @t27))))) % 35.43/35.64 (assume @p5 (forall (@list @t2 @t1 @t4) (= (tptp.meet @t2 @t1 @t4) (and @t3 @t5 (forall @t16 (=> (and @t15 @t14) (and @t33 @t32))))))) % 35.43/35.64 (assume @p6 (forall @t36 (= @t35 (not @t34)))) % 35.43/35.64 (assume @p7 (forall @t36 (= (tptp.open @t1) @t34))) % 35.43/35.64 (assume @p8 (forall @t10 (=> (and @t8 (not (= @t4 @t1))) (tptp.open @t4)))) % 35.43/35.64 (assume @p9 (forall (@list @t1 @t4 @t12 @t37) (=> (and @t8 @t22 (tptp.part_of @t37 @t1) (exists @t6 (and (tptp.end_point @t2 @t4) (tptp.end_point @t2 @t12) (tptp.end_point @t2 @t37)))) (or (tptp.part_of @t12 @t37) (tptp.part_of @t37 @t12) @t19 @t18 (tptp.part_of @t4 @t37) (tptp.part_of @t37 @t4))))) % 35.43/35.64 (assume @p10 (forall @t36 (exists @t6 @t31))) % 35.43/35.64 (assume @p11 (forall @t39 (=> @t31 (exists @t24 (and @t38 @t17))))) % 35.43/35.64 (assume @p12 (forall @t44 (=> (and @t27 @t33 (tptp.end_point @t40 @t1)) (or @t43 @t42 @t41)))) % 35.43/35.64 (assume @p13 (forall @t39 (=> @t27 (exists @t16 (and @t33 @t45))))) % 35.43/35.64 (assume @p14 (forall (@list @t1 @t4 @t12 @t2) (=> (and @t35 @t38 @t17) (forall @t16 (=> @t32 (tptp.meet @t13 @t4 @t12)))))) % 35.43/35.64 (assume @p15 (forall @t24 (=> (exists @t6 @t38) (exists @t36 @t17)))) % 35.43/35.64 (assume @p16 (forall @t10 (=> (forall @t6 (= @t3 @t5)) (= @t1 @t4)))) % 35.43/35.64 (assume @p17 @t58) % 35.43/35.64 (assume @p18 @t63) % 35.43/35.64 (assume @p19 true) % 35.43/35.64 (step @p20 :rule aci_norm :args ((= (or @t67 (or @t66 (or @t65 @t64))) @t68))) % 35.43/35.64 (step @p21 :rule bool-and-de-morgan :args (@t48 @t47 true)) % 35.43/35.64 (step @p22 :rule refl :args (@t66)) % 35.43/35.64 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t66 (not (and @t48 @t47))))) % 35.43/35.64 (step @p24 :rule bool-and-de-morgan :args (@t49 @t48 (and @t47))) % 35.43/35.64 (step @p25 :rule trans :premises (@p24 @p23)) % 35.43/35.64 (step @p26 :rule refl :args (@t67)) % 35.43/35.64 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t67 (not (and @t49 @t48 @t47))))) % 35.43/35.64 (step @p28 :rule bool-and-de-morgan :args (@t50 @t49 (and @t48 @t47))) % 35.43/35.64 (step @p29 :rule trans :premises (@p28 @p27)) % 35.43/35.64 (step @p30 :rule trans :premises (@p29 @p20)) % 35.43/35.64 (step @p31 :rule cong :premises (@p30) :args (@t69)) % 35.43/35.64 (step @p32 :rule cong :premises (@p31) :args (@t70)) % 35.43/35.64 (step @p33 :rule exists-elim :args ((= @t53 @t70))) % 35.43/35.64 (step @p34 :rule trans :premises (@p33 @p32)) % 35.43/35.64 (step @p35 :rule refl :args (@t54)) % 35.43/35.64 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t55)) % 35.43/35.64 (step @p37 :rule refl :args (@t56)) % 35.43/35.64 (step @p38 :rule cong :premises (@p37 @p36) :args (@t57)) % 35.43/35.64 (step @p39 :rule cong :premises (@p38) :args (@t58)) % 35.43/35.64 (step @p40 :rule eq_resolve :premises (@p17 @p39)) % 35.43/35.64 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t79 @t78 @t77 @t77))) % 35.43/35.64 (step @p42 :rule bool-double-not-elim :args (@t82)) % 35.43/35.64 (step @p43 :rule refl :args (@t86)) % 35.43/35.64 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t86 (not @t85)))) % 35.43/35.64 (step @p45 :rule cnf_or_neg :args (@t86 2)) % 35.43/35.64 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 35.43/35.64 (step @p47 :rule reordering :premises (@p46) :args ((or @t82 @t86))) % 35.43/35.64 (step @p48 :rule bool-double-not-elim :args (@t83)) % 35.43/35.64 (step @p49 :rule nary_cong :premises (@p43 @p48) :args ((or @t86 (not @t84)))) % 35.43/35.64 (step @p50 :rule cnf_or_neg :args (@t86 3)) % 35.43/35.64 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 35.43/35.64 (step @p52 :rule reordering :premises (@p51) :args ((or @t83 @t86))) % 35.43/35.64 (step @p53 :rule cnf_and_pos :args (@t87 1)) % 35.43/35.64 (step @p54 :rule reordering :premises (@p53) :args ((or @t85 (not @t87)))) % 35.43/35.64 (step @p55 :rule instantiate :premises (@p4) :args ((@list @t77 @t81))) % 35.43/35.64 (step @p56 :rule cnf_equiv_pos1 :args (@t88)) % 35.43/35.64 (step @p57 :rule reordering :premises (@p56) :args ((or @t84 @t87 (not @t88)))) % 35.43/35.64 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p54 @p52 @p47) :args (@t86 @t89 (@list @t88 @t87 @t83 @t82))) % 35.43/35.64 (step @p59 :rule refl :args (@t90)) % 35.43/35.64 (step @p60 :rule bool-double-not-elim :args (@t80)) % 35.43/35.64 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or (not @t91) @t90))) % 35.43/35.64 (assume-push @p476 @t91) % 35.43/35.64 (step @p63 :rule skolemize :premises (@p476)) % 35.43/35.64 (step-pop @p477 :rule scope :premises (@p63)) % 35.43/35.64 (step @p64 :rule process_scope :premises (@p477) :args (@t90)) % 35.43/35.64 (step @p66 :rule implies_elim :premises (@p64)) % 35.43/35.64 (step @p67 :rule eq_resolve :premises (@p66 @p61)) % 35.43/35.64 (step @p68 :rule chain_m_resolution :premises (@p67 @p58) :args (@t80 @t92 (@list @t86))) % 35.43/35.64 (step @p69 :rule cnf_and_pos :args (@t93 1)) % 35.43/35.64 (step @p70 :rule reordering :premises (@p69) :args ((or @t91 @t94))) % 35.43/35.64 (step @p71 :rule chain_m_resolution :premises (@p70 @p68) :args (@t94 @t92 (@list @t80))) % 35.43/35.64 (step @p72 :rule cnf_equiv_pos1 :args (@t96)) % 35.43/35.64 (step @p73 :rule reordering :premises (@p72) :args ((or @t97 @t93 (not @t96)))) % 35.43/35.64 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p41) :args (@t97 @t98 (@list @t93 @t96))) % 35.43/35.64 (step @p75 :rule refl :args (@t95)) % 35.43/35.64 (step @p76 :rule bool-double-not-elim :args (@t76)) % 35.43/35.64 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t99) @t95))) % 35.43/35.64 (step @p78 :rule bool-double-not-elim :args (@t95)) % 35.43/35.64 (step @p79 :rule refl :args (@t99)) % 35.43/35.64 (step @p80 :rule cong :premises (@p79 @p78) :args ((=> @t99 @t100))) % 35.43/35.64 (assume-push @p478 @t99) % 35.43/35.64 (step @p82 :rule skolemize :premises (@p478)) % 35.43/35.64 (step-pop @p479 :rule scope :premises (@p82)) % 35.43/35.64 (step @p83 :rule process_scope :premises (@p479) :args (@t100)) % 35.43/35.64 (step @p85 :rule eq_resolve :premises (@p83 @p80)) % 35.43/35.64 (step @p86 :rule implies_elim :premises (@p85)) % 35.43/35.64 (step @p87 :rule eq_resolve :premises (@p86 @p77)) % 35.43/35.64 (step @p88 :rule chain_m_resolution :premises (@p87 @p74) :args (@t76 @t101 (@list @t95))) % 35.43/35.64 (step @p89 :rule instantiate :premises (@p40) :args ((@list @t110 @t109 @t109 @t108))) % 35.43/35.64 (step @p90 :rule bool-double-not-elim :args (@t113)) % 35.43/35.64 (step @p91 :rule refl :args (@t117)) % 35.43/35.64 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t117 (not @t116)))) % 35.43/35.64 (step @p93 :rule cnf_or_neg :args (@t117 1)) % 35.43/35.64 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 35.43/35.64 (step @p95 :rule reordering :premises (@p94) :args ((or @t113 @t117))) % 35.43/35.64 (step @p96 :rule bool-double-not-elim :args (@t114)) % 35.43/35.64 (step @p97 :rule nary_cong :premises (@p91 @p96) :args ((or @t117 (not @t115)))) % 35.43/35.64 (step @p98 :rule cnf_or_neg :args (@t117 3)) % 35.43/35.64 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 35.43/35.64 (step @p100 :rule reordering :premises (@p99) :args ((or @t114 @t117))) % 35.43/35.64 (step @p101 :rule cnf_and_pos :args (@t118 1)) % 35.43/35.64 (step @p102 :rule reordering :premises (@p101) :args ((or @t116 (not @t118)))) % 35.43/35.64 (step @p103 :rule instantiate :premises (@p4) :args ((@list @t109 @t112))) % 35.43/35.64 (step @p104 :rule cnf_equiv_pos1 :args (@t119)) % 35.43/35.64 (step @p105 :rule reordering :premises (@p104) :args ((or @t115 @t118 (not @t119)))) % 35.43/35.64 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p102 @p100 @p95) :args (@t117 @t89 (@list @t119 @t118 @t114 @t113))) % 35.43/35.64 (step @p107 :rule refl :args (@t120)) % 35.43/35.64 (step @p108 :rule bool-double-not-elim :args (@t111)) % 35.43/35.64 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or (not @t121) @t120))) % 35.43/35.64 (assume-push @p480 @t121) % 35.43/35.64 (step @p111 :rule skolemize :premises (@p480)) % 35.43/35.64 (step-pop @p481 :rule scope :premises (@p111)) % 35.43/35.64 (step @p112 :rule process_scope :premises (@p481) :args (@t120)) % 35.43/35.64 (step @p114 :rule implies_elim :premises (@p112)) % 35.43/35.64 (step @p115 :rule eq_resolve :premises (@p114 @p109)) % 35.43/35.64 (step @p116 :rule chain_m_resolution :premises (@p115 @p106) :args (@t111 @t92 (@list @t117))) % 35.43/35.64 (step @p117 :rule cnf_and_pos :args (@t122 1)) % 35.43/35.64 (step @p118 :rule reordering :premises (@p117) :args ((or @t121 @t123))) % 35.43/35.64 (step @p119 :rule chain_m_resolution :premises (@p118 @p116) :args (@t123 @t92 (@list @t111))) % 35.43/35.64 (step @p120 :rule cnf_equiv_pos1 :args (@t125)) % 35.43/35.64 (step @p121 :rule reordering :premises (@p120) :args ((or @t126 @t122 (not @t125)))) % 35.43/35.64 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p89) :args (@t126 @t98 (@list @t122 @t125))) % 35.43/35.64 (step @p123 :rule refl :args (@t124)) % 35.43/35.64 (step @p124 :rule bool-double-not-elim :args (@t107)) % 35.43/35.64 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t127) @t124))) % 35.43/35.64 (step @p126 :rule bool-double-not-elim :args (@t124)) % 35.43/35.64 (step @p127 :rule refl :args (@t127)) % 35.43/35.64 (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t127 @t128))) % 35.43/35.64 (assume-push @p482 @t127) % 35.43/35.64 (step @p130 :rule skolemize :premises (@p482)) % 35.43/35.64 (step-pop @p483 :rule scope :premises (@p130)) % 35.43/35.64 (step @p131 :rule process_scope :premises (@p483) :args (@t128)) % 35.43/35.64 (step @p133 :rule eq_resolve :premises (@p131 @p128)) % 35.43/35.64 (step @p134 :rule implies_elim :premises (@p133)) % 35.43/35.64 (step @p135 :rule eq_resolve :premises (@p134 @p125)) % 35.43/35.64 (step @p136 :rule chain_m_resolution :premises (@p135 @p122) :args (@t107 @t101 (@list @t124))) % 35.43/35.64 (step @p137 :rule cnf_or_neg :args (@t141 0)) % 35.43/35.64 (step @p138 :rule bool-double-not-elim :args (@t138)) % 35.43/35.64 (step @p139 :rule refl :args (@t141)) % 35.43/35.64 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t141 (not @t139)))) % 35.43/35.64 (step @p141 :rule cnf_or_neg :args (@t141 1)) % 35.43/35.64 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 35.43/35.64 (step @p143 :rule reordering :premises (@p142) :args ((or @t138 @t141))) % 35.43/35.64 (step @p144 :rule instantiate :premises (@p40) :args ((@list @t137 @t136 @t135 @t134))) % 35.43/35.64 (step @p145 :rule cnf_equiv_pos1 :args (@t145)) % 35.43/35.64 (step @p146 :rule reordering :premises (@p145) :args ((or @t139 @t144 (not @t145)))) % 35.43/35.64 (step @p147 :rule cnf_and_pos :args (@t144 1)) % 35.43/35.64 (step @p148 :rule reordering :premises (@p147) :args ((or @t143 (not @t144)))) % 35.43/35.64 (step @p149 :rule refl :args (@t152)) % 35.43/35.64 (step @p150 :rule bool-double-not-elim :args (@t142)) % 35.43/35.64 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or (not @t143) @t152))) % 35.43/35.64 (assume-push @p484 @t143) % 35.43/35.64 (step @p153 :rule skolemize :premises (@p484)) % 35.43/35.64 (step-pop @p485 :rule scope :premises (@p153)) % 35.43/35.64 (step @p154 :rule process_scope :premises (@p485) :args (@t152)) % 35.43/35.64 (step @p156 :rule implies_elim :premises (@p154)) % 35.43/35.64 (step @p157 :rule eq_resolve :premises (@p156 @p151)) % 35.43/35.64 (step @p158 :rule bool-double-not-elim :args (@t149)) % 35.43/35.64 (step @p159 :rule refl :args (@t151)) % 35.43/35.64 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or @t151 (not @t150)))) % 35.43/35.64 (step 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@p349)) % 35.43/35.64 (step @p360 :rule aci_norm :args ((= (or false @t74) @t74))) % 35.43/35.64 (step @p361 :rule refl :args (@t74)) % 35.43/35.64 (step @p362 :rule eq-refl :args (@t71)) % 35.43/35.64 (step @p363 :rule cong :premises (@p362) :args (@t251)) % 35.43/35.64 (step @p364 :rule trans :premises (@p363 @p343)) % 35.43/35.64 (step @p365 :rule nary_cong :premises (@p364 @p361) :args (@t252)) % 35.43/35.64 (step @p366 :rule trans :premises (@p365 @p360)) % 35.43/35.64 (step @p367 :rule cong :premises (@p366) :args ((forall @t75 @t252))) % 35.43/35.64 (step @p368 :rule quant-var-elim-eq :args ((= (forall @t257 @t256) @t252))) % 35.43/35.64 (step @p369 :rule aci_norm :args ((= @t258 @t256))) % 35.43/35.64 (step @p370 :rule cong :premises (@p369) :args (@t259)) % 35.43/35.64 (step @p371 :rule trans :premises (@p370 @p368)) % 35.43/35.64 (step @p372 :rule cong :premises (@p371) :args (@t260)) % 35.43/35.64 (step @p373 :rule quant-merge-prenex :args ((= @t260 @t261))) % 35.43/35.64 (step @p374 :rule symm :premises (@p373)) % 35.43/35.64 (step @p375 :rule quant_var_reordering :args ((= @t262 @t261))) % 35.43/35.64 (step @p376 :rule trans :premises (@p375 @p374 @p372)) % 35.43/35.64 (step @p377 :rule trans :premises (@p376 @p367)) % 35.43/35.64 (step @p378 :rule aci_norm :args ((= (or false @t105) @t105))) % 35.43/35.64 (step @p379 :rule refl :args (@t105)) % 35.43/35.64 (step @p380 :rule eq-refl :args (@t103)) % 35.43/35.64 (step @p381 :rule cong :premises (@p380) :args (@t263)) % 35.43/35.64 (step @p382 :rule trans :premises (@p381 @p343)) % 35.43/35.64 (step @p383 :rule nary_cong :premises (@p382 @p379) :args (@t264)) % 35.43/35.64 (step @p384 :rule trans :premises (@p383 @p378)) % 35.43/35.64 (step @p385 :rule cong :premises (@p384) :args ((forall @t106 @t264))) % 35.43/35.64 (step @p386 :rule quant-var-elim-eq :args ((= (forall @t269 @t268) @t264))) % 35.43/35.64 (step @p387 :rule aci_norm :args ((= @t270 @t268))) % 35.43/35.64 (step @p388 :rule cong :premises (@p387) :args (@t271)) % 35.43/35.64 (step @p389 :rule trans :premises (@p388 @p386)) % 35.43/35.64 (step @p390 :rule cong :premises (@p389) :args (@t272)) % 35.43/35.64 (step @p391 :rule quant-merge-prenex :args ((= @t272 @t273))) % 35.43/35.64 (step @p392 :rule symm :premises (@p391)) % 35.43/35.64 (step @p393 :rule quant_var_reordering :args ((= @t274 @t273))) % 35.43/35.64 (step @p394 :rule trans :premises (@p393 @p392 @p390)) % 35.43/35.64 (step @p395 :rule trans :premises (@p394 @p385)) % 35.43/35.64 (step @p396 :rule refl :args (@t133)) % 35.43/35.64 (step @p397 :rule refl :args (@t172)) % 35.43/35.64 (step @p398 :rule refl :args (@t205)) % 35.43/35.64 (step @p399 :rule nary_cong :premises (@p398 @p397 @p396 @p395 @p377 @p359) :args ((and @t205 @t172 @t133 @t274 @t262 @t250))) % 35.43/35.64 (step @p400 :rule alpha_equiv :args (@t277 @t278 (@list @t236 @t241 @t235 @t234))) % 35.43/35.64 (step @p401 :rule alpha_equiv :args (@t280 @t278 (@list @t73 @t72 @t253 @t71))) % 35.43/35.64 (step @p402 :rule alpha_equiv :args (@t282 @t278 (@list @t104 @t265 @t103 @t102))) % 35.43/35.64 (step @p403 :rule alpha_equiv :args (@t284 @t278 (@list @t132 @t131 @t130 @t129))) % 35.43/35.64 (step @p404 :rule alpha_equiv :args (@t286 @t278 (@list @t171 @t170 @t169 @t168))) % 35.43/35.64 (step @p405 :rule alpha_equiv :args (@t288 @t278 (@list @t204 @t203 @t202 @t201))) % 35.43/35.64 (step @p406 :rule nary_cong :premises (@p405 @p404 @p403 @p402 @p401 @p400) :args (@t289)) % 35.43/35.64 (step @p407 :rule quant-miniscope-and :args ((= (forall @t44 @t290) @t289))) % 35.43/35.64 (step @p408 :rule trans :premises (@p407 @p406)) % 35.43/35.64 (step @p409 :rule trans :premises (@p408 @p399)) % 35.43/35.64 (step @p410 :rule aci_norm :args ((= (and @t287 (and @t285 (and @t283 (and @t281 (and @t279 @t276))))) @t290))) % 35.43/35.64 (step @p411 :rule bool-or-and-distrib :args (@t59 @t54 true @t275 false)) % 35.43/35.64 (step @p412 :rule refl :args (@t281)) % 35.43/35.64 (step @p413 :rule nary_cong :premises (@p412 @p411) :args ((and @t281 (or (and @t59 @t54) @t275)))) % 35.43/35.64 (step @p414 :rule bool-or-and-distrib :args (@t45 @t59 (and @t54) @t275 false)) % 35.43/35.64 (step @p415 :rule trans :premises (@p414 @p413)) % 35.43/35.64 (step @p416 :rule refl :args (@t283)) % 35.43/35.64 (step @p417 :rule nary_cong :premises (@p416 @p415) :args ((and @t283 (or (and @t45 @t59 @t54) @t275)))) % 35.43/35.64 (step @p418 :rule bool-or-and-distrib :args (@t60 @t45 (and @t59 @t54) @t275 false)) % 35.43/35.64 (step @p419 :rule trans :premises (@p418 @p417)) % 35.43/35.64 (step @p420 :rule refl :args (@t285)) % 35.43/35.64 (step @p421 :rule nary_cong :premises (@p420 @p419) :args ((and @t285 (or (and @t60 @t45 @t59 @t54) @t275)))) % 35.43/35.64 (step @p422 :rule bool-or-and-distrib :args (@t15 @t60 (and @t45 @t59 @t54) @t275 false)) % 35.43/35.64 (step @p423 :rule trans :premises (@p422 @p421)) % 35.43/35.64 (step @p424 :rule refl :args (@t287)) % 35.43/35.64 (step @p425 :rule nary_cong :premises (@p424 @p423) :args ((and @t287 (or (and @t15 @t60 @t45 @t59 @t54) @t275)))) % 35.43/35.64 (step @p426 :rule bool-or-and-distrib :args (@t3 @t15 (and @t60 @t45 @t59 @t54) @t275 false)) % 35.43/35.64 (step @p427 :rule trans :premises (@p426 @p425)) % 35.43/35.64 (step @p428 :rule trans :premises (@p427 @p410)) % 35.43/35.64 (step @p429 :rule cong :premises (@p428) :args ((forall @t44 @t291))) % 35.43/35.64 (step @p430 :rule trans :premises (@p429 @p409)) % 35.43/35.64 (step @p431 :rule aci_norm :args ((= @t292 @t291))) % 35.43/35.64 (step @p432 :rule cong :premises (@p431) :args ((forall @t44 @t292))) % 35.43/35.64 (step @p433 :rule trans :premises (@p432 @p430)) % 35.43/35.64 (step @p434 :rule bool-impl-elim :args (@t56 @t61)) % 35.43/35.64 (step @p435 :rule cong :premises (@p434) :args (@t62)) % 35.43/35.64 (step @p436 :rule trans :premises (@p435 @p433)) % 35.43/35.64 (step @p437 :rule cong :premises (@p436) :args (@t63)) % 35.43/35.64 (step @p438 :rule eq_resolve :premises (@p18 @p437)) % 35.43/35.64 (step @p439 :rule not_and :premises (@p438)) % 35.43/35.64 (step @p440 :rule chain_m_resolution :premises (@p439 @p340 @p282 @p224 @p136 @p88) :args (@t294 (@list false false false false false) (@list @t205 @t172 @t133 @t107 @t76))) % 35.43/35.64 (step @p441 :rule refl :args (@t298)) % 35.43/35.64 (step @p442 :rule bool-double-not-elim :args (@t293)) % 35.43/35.64 (step @p443 :rule nary_cong :premises (@p442 @p441) :args ((or (not @t294) @t298))) % 35.43/35.64 (step @p444 :rule bool-double-not-elim :args (@t298)) % 35.43/35.64 (step @p445 :rule refl :args (@t294)) % 35.43/35.64 (step @p446 :rule cong :premises (@p445 @p444) :args ((=> @t294 @t299))) % 35.43/35.64 (assume-push @p502 @t294) % 35.43/35.64 (step @p448 :rule skolemize :premises (@p502)) % 35.43/35.64 (step-pop @p503 :rule scope :premises (@p448)) % 35.43/35.64 (step @p449 :rule process_scope :premises (@p503) :args (@t299)) % 35.43/35.64 (step @p451 :rule eq_resolve :premises (@p449 @p446)) % 35.43/35.64 (step @p452 :rule implies_elim :premises (@p451)) % 35.43/35.64 (step @p453 :rule eq_resolve :premises (@p452 @p443)) % 35.43/35.64 (step @p454 :rule chain_m_resolution :premises (@p453 @p440) :args (@t298 @t101 (@list @t293))) % 35.43/35.64 (step @p455 :rule bool-eq-false :args (@t298)) % 35.43/35.64 (step @p456 :rule absorb :args ((= (and false (not (forall @t52 @t303))) false))) % 35.43/35.64 (step @p457 :rule aci_norm :args ((= @t304 @t303))) % 35.43/35.64 (step @p458 :rule cong :premises (@p457) :args (@t305)) % 35.43/35.64 (step @p459 :rule cong :premises (@p458) :args (@t306)) % 35.43/35.64 (step @p460 :rule eq-refl :args (@t295)) % 35.43/35.64 (step @p461 :rule cong :premises (@p460) :args (@t307)) % 35.43/35.64 (step @p462 :rule trans :premises (@p461 @p343)) % 35.43/35.64 (step @p463 :rule nary_cong :premises (@p462 @p459) :args (@t308)) % 35.43/35.64 (step @p464 :rule trans :premises (@p463 @p456)) % 35.43/35.64 (step @p465 :rule cong :premises (@p441 @p464) :args (@t309)) % 35.43/35.64 (step @p466 :rule trans :premises (@p465 @p455)) % 35.43/35.64 (step @p467 :rule refl :args (@t310)) % 35.43/35.64 (step @p468 :rule cong :premises (@p467 @p466) :args ((=> @t310 @t309))) % 35.43/35.64 (assume-push @p504 @t310) % 35.43/35.64 (step @p470 :rule instantiate :premises (@p40) :args ((@list @t297 @t295 @t296 @t295))) % 35.43/35.64 (step-pop @p505 :rule scope :premises (@p470)) % 35.43/35.64 (step @p471 :rule process_scope :premises (@p505) :args (@t309)) % 35.43/35.64 (step @p473 :rule eq_resolve :premises (@p471 @p468)) % 35.43/35.64 (step @p474 :rule implies_elim :premises (@p473)) % 35.43/35.64 (step @p475 false :rule chain_m_resolution :premises (@p474 @p454 @p40) :args (false (@list false false) (@list @t298 @t310))) % 35.43/35.64 ) % 35.43/35.64 % SZS output end Proof % 35.43/35.64 % cvc5 exiting %------------------------------------------------------------------------------