%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT051+1 : TPTP v9.3.0. 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 : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:52 AM UTC 2026 % Result : Theorem 0.38s 0.68s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT051+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n008.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Mon Sep 7 13:19:53 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.68 % SZS status Theorem % 0.38/0.68 % SZS output start Proof % 0.38/0.68 ( % 0.38/0.68 (declare-sort $$unsorted 0) % 0.38/0.68 (declare-const tptp.external_ties (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.position (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.capability (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.internal_friction (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.eta $$unsorted) % 0.38/0.68 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.stock_of_knowledge (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.age (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.has_immunity (-> $$unsorted $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.has_endowment (-> $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.hazard_of_mortality (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.68 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.68 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.68 (define @t3 () (= @t2 @t1)) % 0.38/0.68 (define @t4 () (tptp.smaller @t2 @t1)) % 0.38/0.68 (define @t5 () (@list @t2 @t1)) % 0.38/0.68 (define @t6 () (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.38/0.68 (define @t7 () (tptp.greater @t2 @t1)) % 0.38/0.68 (define @t8 () (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t7 @t3)))) % 0.38/0.68 (define @t9 () (tptp.greater @t1 @t2)) % 0.38/0.68 (define @t10 () (forall @t5 (= @t4 @t9))) % 0.38/0.68 (define @t11 () (@var "Z" $$unsorted)) % 0.38/0.68 (define @t12 () (tptp.greater @t2 @t11)) % 0.38/0.68 (define @t13 () (tptp.greater @t1 @t11)) % 0.38/0.68 (define @t14 () (and @t7 @t13)) % 0.38/0.68 (define @t15 () (forall (@list @t2 @t1 @t11) (=> @t14 @t12))) % 0.38/0.68 (define @t16 () (forall @t5 (or @t4 @t3 @t7))) % 0.38/0.68 (define @t17 () (@var "T" $$unsorted)) % 0.38/0.68 (define @t18 () (tptp.has_immunity @t2 @t17)) % 0.38/0.68 (define @t19 () (not @t18)) % 0.38/0.68 (define @t20 () (tptp.age @t2 @t17)) % 0.38/0.68 (define @t21 () (tptp.greater @t20 tptp.eta)) % 0.38/0.68 (define @t22 () (tptp.smaller_or_equal @t20 tptp.eta)) % 0.38/0.68 (define @t23 () (tptp.organization @t2)) % 0.38/0.68 (define @t24 () (and @t23 (=> @t22 @t18) (=> @t21 @t19))) % 0.38/0.68 (define @t25 () (@list @t17)) % 0.38/0.68 (define @t26 () (forall @t25 @t24)) % 0.38/0.68 (define @t27 () (tptp.has_endowment @t2)) % 0.38/0.68 (define @t28 () (= @t27 @t26)) % 0.38/0.68 (define @t29 () (forall (@list @t2) @t28)) % 0.38/0.68 (define @t30 () (tptp.hazard_of_mortality @t2 @t17)) % 0.38/0.68 (define @t31 () (@var "T0" $$unsorted)) % 0.38/0.68 (define @t32 () (tptp.hazard_of_mortality @t2 @t31)) % 0.38/0.68 (define @t33 () (= @t32 @t30)) % 0.38/0.68 (define @t34 () (tptp.has_immunity @t2 @t31)) % 0.38/0.68 (define @t35 () (and @t23 @t34 @t18)) % 0.38/0.68 (define @t36 () (@list @t2 @t31 @t17)) % 0.38/0.68 (define @t37 () (forall @t36 (=> @t35 @t33))) % 0.38/0.68 (define @t38 () (tptp.greater @t30 @t32)) % 0.38/0.68 (define @t39 () (and @t23 @t34 @t19)) % 0.38/0.68 (define @t40 () (forall @t36 (=> @t39 @t38))) % 0.38/0.68 (define @t41 () (tptp.position @t2 @t31)) % 0.38/0.68 (define @t42 () (tptp.position @t2 @t17)) % 0.38/0.68 (define @t43 () (= @t42 @t41)) % 0.38/0.68 (define @t44 () (tptp.capability @t2 @t31)) % 0.38/0.68 (define @t45 () (tptp.capability @t2 @t17)) % 0.38/0.68 (define @t46 () (= @t45 @t44)) % 0.38/0.68 (define @t47 () (and @t46 @t43)) % 0.38/0.68 (define @t48 () (=> @t47 (= @t30 @t32))) % 0.38/0.68 (define @t49 () (tptp.smaller @t30 @t32)) % 0.38/0.68 (define @t50 () (tptp.greater @t42 @t41)) % 0.38/0.68 (define @t51 () (tptp.greater_or_equal @t45 @t44)) % 0.38/0.68 (define @t52 () (and @t51 @t50)) % 0.38/0.68 (define @t53 () (=> @t52 @t49)) % 0.38/0.68 (define @t54 () (tptp.greater_or_equal @t42 @t41)) % 0.38/0.68 (define @t55 () (tptp.greater @t45 @t44)) % 0.38/0.68 (define @t56 () (and @t55 @t54)) % 0.38/0.68 (define @t57 () (=> @t56 @t49)) % 0.38/0.68 (define @t58 () (and @t57 @t53 @t48)) % 0.38/0.68 (define @t59 () (not @t34)) % 0.38/0.68 (define @t60 () (and @t23 @t59 @t19)) % 0.38/0.68 (define @t61 () (=> @t60 @t58)) % 0.38/0.68 (define @t62 () (forall @t36 @t61)) % 0.38/0.68 (define @t63 () (tptp.internal_friction @t2 @t31)) % 0.38/0.68 (define @t64 () (tptp.internal_friction @t2 @t17)) % 0.38/0.68 (define @t65 () (tptp.stock_of_knowledge @t2 @t31)) % 0.38/0.68 (define @t66 () (tptp.stock_of_knowledge @t2 @t17)) % 0.38/0.68 (define @t67 () (= @t66 @t65)) % 0.38/0.68 (define @t68 () (and @t67 (= @t64 @t63))) % 0.38/0.68 (define @t69 () (=> @t68 @t46)) % 0.38/0.68 (define @t70 () (tptp.smaller @t45 @t44)) % 0.38/0.68 (define @t71 () (tptp.greater @t64 @t63)) % 0.38/0.68 (define @t72 () (tptp.smaller_or_equal @t66 @t65)) % 0.38/0.68 (define @t73 () (and @t72 @t71)) % 0.38/0.68 (define @t74 () (=> @t73 @t70)) % 0.38/0.68 (define @t75 () (tptp.smaller_or_equal @t64 @t63)) % 0.38/0.68 (define @t76 () (tptp.greater @t66 @t65)) % 0.38/0.68 (define @t77 () (and @t76 @t75)) % 0.38/0.68 (define @t78 () (=> @t77 @t55)) % 0.38/0.68 (define @t79 () (and @t78 @t74 @t69)) % 0.38/0.68 (define @t80 () (=> @t23 @t79)) % 0.38/0.68 (define @t81 () (forall @t36 @t80)) % 0.38/0.68 (define @t82 () (tptp.external_ties @t2 @t31)) % 0.38/0.68 (define @t83 () (tptp.external_ties @t2 @t17)) % 0.38/0.68 (define @t84 () (= @t83 @t82)) % 0.38/0.68 (define @t85 () (=> @t84 @t43)) % 0.38/0.68 (define @t86 () (tptp.greater @t83 @t82)) % 0.38/0.68 (define @t87 () (=> @t86 @t50)) % 0.38/0.68 (define @t88 () (and @t87 @t85)) % 0.38/0.68 (define @t89 () (=> @t23 @t88)) % 0.38/0.68 (define @t90 () (forall @t36 @t89)) % 0.38/0.68 (define @t91 () (=> @t23 @t67)) % 0.38/0.68 (define @t92 () (forall @t36 @t91)) % 0.38/0.68 (define @t93 () (=> @t23 @t84)) % 0.38/0.68 (define @t94 () (forall @t36 @t93)) % 0.38/0.68 (define @t95 () (tptp.age @t2 @t31)) % 0.38/0.68 (define @t96 () (tptp.greater @t20 @t95)) % 0.38/0.68 (define @t97 () (and @t23 @t96)) % 0.38/0.68 (define @t98 () (forall @t36 (=> @t97 @t71))) % 0.38/0.68 (define @t99 () (@var "T1" $$unsorted)) % 0.38/0.68 (define @t100 () (tptp.hazard_of_mortality @t2 @t99)) % 0.38/0.68 (define @t101 () (@var "T2" $$unsorted)) % 0.38/0.68 (define @t102 () (tptp.hazard_of_mortality @t2 @t101)) % 0.38/0.68 (define @t103 () (tptp.greater @t102 @t100)) % 0.38/0.68 (define @t104 () (@var "T3" $$unsorted)) % 0.38/0.68 (define @t105 () (tptp.greater (tptp.hazard_of_mortality @t2 @t104) @t102)) % 0.38/0.68 (define @t106 () (and @t105 @t103 (= @t100 @t32))) % 0.38/0.68 (define @t107 () (tptp.age @t2 @t101)) % 0.38/0.68 (define @t108 () (tptp.greater (tptp.age @t2 @t104) @t107)) % 0.38/0.68 (define @t109 () (tptp.greater @t107 tptp.eta)) % 0.38/0.68 (define @t110 () (tptp.age @t2 @t99)) % 0.38/0.68 (define @t111 () (tptp.smaller_or_equal @t110 tptp.eta)) % 0.38/0.68 (define @t112 () (tptp.smaller_or_equal @t95 @t110)) % 0.38/0.68 (define @t113 () (and @t23 @t27 @t112 @t111 @t109 @t108)) % 0.38/0.68 (define @t114 () (=> @t113 @t106)) % 0.38/0.68 (define @t115 () (@list @t2 @t31 @t99 @t101 @t104)) % 0.38/0.68 (define @t116 () (forall @t115 @t114)) % 0.38/0.68 (define @t117 () (not @t116)) % 0.38/0.68 (define @t118 () (and @t105 @t103 (= @t32 @t100))) % 0.38/0.68 (define @t119 () (not @t108)) % 0.38/0.68 (define @t120 () (not @t109)) % 0.38/0.68 (define @t121 () (not @t111)) % 0.38/0.68 (define @t122 () (not @t112)) % 0.38/0.68 (define @t123 () (not @t27)) % 0.38/0.68 (define @t124 () (not @t23)) % 0.38/0.68 (define @t125 () (or @t124 @t123 @t122 @t121 @t120 @t119 @t118)) % 0.38/0.68 (define @t126 () (forall @t115 @t125)) % 0.38/0.68 (define @t127 () (@quantifiers_skolemize @t126 2)) % 0.38/0.68 (define @t128 () (@quantifiers_skolemize @t126 0)) % 0.38/0.68 (define @t129 () (tptp.age @t128 @t127)) % 0.38/0.68 (define @t130 () (@list tptp.eta @t129)) % 0.38/0.68 (define @t131 () (tptp.smaller tptp.eta @t129)) % 0.38/0.68 (define @t132 () (tptp.greater @t129 tptp.eta)) % 0.38/0.68 (define @t133 () (= @t131 @t132)) % 0.38/0.68 (define @t134 () (= @t132 @t131)) % 0.38/0.68 (define @t135 () (@list false)) % 0.38/0.68 (define @t136 () (@list @t10)) % 0.38/0.68 (define @t137 () (or (not @t21) @t19)) % 0.38/0.68 (define @t138 () (forall @t25 @t137)) % 0.38/0.68 (define @t139 () (@list @t17)) % 0.38/0.68 (define @t140 () (@var "BOUND_VARIABLE_7592" $$unsorted)) % 0.38/0.68 (define @t141 () (or (not @t22) @t18)) % 0.38/0.68 (define @t142 () (forall @t25 @t141)) % 0.38/0.68 (define @t143 () (@var "BOUND_VARIABLE_7583" $$unsorted)) % 0.38/0.68 (define @t144 () (forall @t25 @t23)) % 0.38/0.68 (define @t145 () (and @t144 @t142 @t138)) % 0.38/0.68 (define @t146 () (or @t124 @t123 @t122 @t121 @t120 @t119)) % 0.38/0.68 (define @t147 () (@quantifiers_skolemize @t126 1)) % 0.38/0.68 (define @t148 () (tptp.hazard_of_mortality @t128 @t147)) % 0.38/0.68 (define @t149 () (tptp.hazard_of_mortality @t128 @t127)) % 0.38/0.68 (define @t150 () (= @t149 @t148)) % 0.38/0.68 (define @t151 () (@quantifiers_skolemize @t126 3)) % 0.38/0.68 (define @t152 () (tptp.hazard_of_mortality @t128 @t151)) % 0.38/0.68 (define @t153 () (tptp.greater @t152 @t149)) % 0.38/0.68 (define @t154 () (@quantifiers_skolemize @t126 4)) % 0.38/0.68 (define @t155 () (tptp.hazard_of_mortality @t128 @t154)) % 0.38/0.68 (define @t156 () (tptp.greater @t155 @t152)) % 0.38/0.68 (define @t157 () (and @t156 @t153 @t150)) % 0.38/0.68 (define @t158 () (tptp.age @t128 @t151)) % 0.38/0.68 (define @t159 () (tptp.age @t128 @t154)) % 0.38/0.68 (define @t160 () (tptp.greater @t159 @t158)) % 0.38/0.68 (define @t161 () (not @t160)) % 0.38/0.68 (define @t162 () (tptp.greater @t158 tptp.eta)) % 0.38/0.68 (define @t163 () (not @t162)) % 0.38/0.68 (define @t164 () (tptp.smaller_or_equal @t129 tptp.eta)) % 0.38/0.68 (define @t165 () (not @t164)) % 0.38/0.68 (define @t166 () (tptp.age @t128 @t147)) % 0.38/0.68 (define @t167 () (tptp.smaller_or_equal @t166 @t129)) % 0.38/0.68 (define @t168 () (not @t167)) % 0.38/0.68 (define @t169 () (tptp.has_endowment @t128)) % 0.38/0.68 (define @t170 () (not @t169)) % 0.38/0.68 (define @t171 () (tptp.organization @t128)) % 0.38/0.68 (define @t172 () (not @t171)) % 0.38/0.68 (define @t173 () (or @t172 @t170 @t168 @t165 @t163 @t161 @t157)) % 0.38/0.68 (define @t174 () (not @t173)) % 0.38/0.68 (define @t175 () (not @t126)) % 0.38/0.68 (define @t176 () (= @t148 @t149)) % 0.38/0.68 (define @t177 () (and @t156 @t153 @t176)) % 0.38/0.68 (define @t178 () (or @t172 @t170 @t168 @t165 @t163 @t161 @t177)) % 0.38/0.68 (define @t179 () (not @t178)) % 0.38/0.68 (define @t180 () (@list true)) % 0.38/0.68 (define @t181 () (@list @t173)) % 0.38/0.68 (define @t182 () (forall (@list @t140) (or (not (tptp.greater (tptp.age @t128 @t140) tptp.eta)) (not (tptp.has_immunity @t128 @t140))))) % 0.38/0.68 (define @t183 () (forall (@list @t143) (or (not (tptp.smaller_or_equal (tptp.age @t128 @t143) tptp.eta)) (tptp.has_immunity @t128 @t143)))) % 0.38/0.68 (define @t184 () (and @t171 @t183 @t182)) % 0.38/0.68 (define @t185 () (= @t169 @t184)) % 0.38/0.68 (define @t186 () (@list false false)) % 0.38/0.68 (define @t187 () (not @t184)) % 0.38/0.68 (define @t188 () (@list @t184)) % 0.38/0.68 (define @t189 () (@list @t127)) % 0.38/0.68 (define @t190 () (tptp.has_immunity @t128 @t127)) % 0.38/0.68 (define @t191 () (or @t165 @t190)) % 0.38/0.68 (define @t192 () (not @t190)) % 0.38/0.68 (define @t193 () (not @t132)) % 0.38/0.68 (define @t194 () (or @t193 @t192)) % 0.38/0.68 (define @t195 () (not @t131)) % 0.38/0.68 (define @t196 () (@list true false)) % 0.38/0.68 (define @t197 () (or @t124 @t59 @t19 @t33)) % 0.38/0.68 (define @t198 () (or @t124 @t59 @t19)) % 0.38/0.68 (define @t199 () (tptp.has_immunity @t128 @t147)) % 0.38/0.68 (define @t200 () (not @t199)) % 0.38/0.68 (define @t201 () (or @t172 @t200 @t192 @t176)) % 0.38/0.68 (define @t202 () (forall @t36 @t197)) % 0.38/0.68 (define @t203 () (or @t172 @t200 @t192 @t150)) % 0.38/0.68 (define @t204 () (not @t19)) % 0.38/0.68 (define @t205 () (or @t124 @t59 @t204)) % 0.38/0.68 (define @t206 () (tptp.has_immunity @t128 @t151)) % 0.38/0.68 (define @t207 () (not @t206)) % 0.38/0.68 (define @t208 () (or @t163 @t207)) % 0.38/0.68 (define @t209 () (or @t172 @t192 @t206 @t153)) % 0.38/0.68 (define @t210 () (@list false true false false)) % 0.38/0.68 (define @t211 () (tptp.smaller @t152 @t155)) % 0.38/0.68 (define @t212 () (= @t211 @t156)) % 0.38/0.68 (define @t213 () (= @t156 @t211)) % 0.38/0.68 (define @t214 () (= @t41 @t42)) % 0.38/0.68 (define @t215 () (not @t214)) % 0.38/0.68 (define @t216 () (= @t44 @t45)) % 0.38/0.68 (define @t217 () (not @t216)) % 0.38/0.68 (define @t218 () (or @t217 @t215 @t33)) % 0.38/0.68 (define @t219 () (not @t50)) % 0.38/0.68 (define @t220 () (not @t51)) % 0.38/0.68 (define @t221 () (or @t220 @t219 @t49)) % 0.38/0.68 (define @t222 () (not @t54)) % 0.38/0.68 (define @t223 () (not @t55)) % 0.38/0.68 (define @t224 () (or @t223 @t222 @t49)) % 0.38/0.68 (define @t225 () (and @t224 @t221 @t218)) % 0.38/0.68 (define @t226 () (and @t216 @t214)) % 0.38/0.68 (define @t227 () (and @t57 @t53 (=> @t226 @t33))) % 0.38/0.68 (define @t228 () (not @t59)) % 0.38/0.68 (define @t229 () (or @t124 @t228 @t204)) % 0.38/0.68 (define @t230 () (@list @t128 @t154 @t151)) % 0.38/0.68 (define @t231 () (not @t13)) % 0.38/0.68 (define @t232 () (not @t7)) % 0.38/0.68 (define @t233 () (tptp.greater @t159 tptp.eta)) % 0.38/0.68 (define @t234 () (or @t161 @t163 @t233)) % 0.38/0.68 (define @t235 () (@list false false false)) % 0.38/0.68 (define @t236 () (tptp.has_immunity @t128 @t154)) % 0.38/0.68 (define @t237 () (not @t236)) % 0.38/0.68 (define @t238 () (not @t233)) % 0.38/0.68 (define @t239 () (or @t238 @t237)) % 0.38/0.68 (define @t240 () (tptp.position @t128 @t151)) % 0.38/0.68 (define @t241 () (tptp.position @t128 @t154)) % 0.38/0.68 (define @t242 () (= @t241 @t240)) % 0.38/0.68 (define @t243 () (tptp.capability @t128 @t151)) % 0.38/0.68 (define @t244 () (tptp.capability @t128 @t154)) % 0.38/0.68 (define @t245 () (= @t244 @t243)) % 0.38/0.68 (define @t246 () (tptp.greater @t240 @t241)) % 0.38/0.68 (define @t247 () (tptp.greater_or_equal @t240 @t241)) % 0.38/0.68 (define @t248 () (not @t247)) % 0.38/0.68 (define @t249 () (tptp.greater @t243 @t244)) % 0.38/0.68 (define @t250 () (not @t249)) % 0.38/0.68 (define @t251 () (or @t250 @t248 @t211)) % 0.38/0.68 (define @t252 () (and @t251 (or (not (tptp.greater_or_equal @t243 @t244)) (not @t246) @t211) (or (not @t245) (not @t242) (= @t155 @t152)))) % 0.38/0.68 (define @t253 () (or @t172 @t236 @t206 @t252)) % 0.38/0.68 (define @t254 () (tptp.greater_or_equal @t241 @t241)) % 0.38/0.68 (define @t255 () (tptp.greater @t241 @t241)) % 0.38/0.68 (define @t256 () (or @t255 (= @t241 @t241))) % 0.38/0.68 (define @t257 () (= @t254 @t256)) % 0.38/0.68 (define @t258 () (= @t82 @t83)) % 0.38/0.68 (define @t259 () (and @t87 (=> @t258 @t214))) % 0.38/0.68 (define @t260 () (tptp.external_ties @t128 @t151)) % 0.38/0.68 (define @t261 () (tptp.external_ties @t128 @t154)) % 0.38/0.68 (define @t262 () (= @t261 @t260)) % 0.38/0.68 (define @t263 () (not @t262)) % 0.38/0.68 (define @t264 () (or @t263 @t242)) % 0.38/0.68 (define @t265 () (and (or (not (tptp.greater @t260 @t261)) @t246) @t264)) % 0.38/0.68 (define @t266 () (or @t172 @t265)) % 0.38/0.68 (define @t267 () (or @t172 @t262)) % 0.38/0.68 (define @t268 () (= @t63 @t64)) % 0.38/0.68 (define @t269 () (not @t268)) % 0.38/0.68 (define @t270 () (= @t65 @t66)) % 0.38/0.68 (define @t271 () (not @t270)) % 0.38/0.68 (define @t272 () (or @t271 @t269 @t216)) % 0.38/0.68 (define @t273 () (and @t270 @t268)) % 0.38/0.68 (define @t274 () (not @t71)) % 0.38/0.68 (define @t275 () (not @t72)) % 0.38/0.68 (define @t276 () (or @t275 @t274 @t70)) % 0.38/0.68 (define @t277 () (not @t75)) % 0.38/0.68 (define @t278 () (not @t76)) % 0.38/0.68 (define @t279 () (or @t278 @t277 @t55)) % 0.38/0.68 (define @t280 () (and @t78 @t74 (=> @t273 @t216))) % 0.38/0.68 (define @t281 () (tptp.internal_friction @t128 @t151)) % 0.38/0.68 (define @t282 () (tptp.internal_friction @t128 @t154)) % 0.38/0.68 (define @t283 () (not (= @t281 @t282))) % 0.38/0.68 (define @t284 () (tptp.stock_of_knowledge @t128 @t151)) % 0.38/0.68 (define @t285 () (tptp.stock_of_knowledge @t128 @t154)) % 0.38/0.68 (define @t286 () (= @t284 @t285)) % 0.38/0.68 (define @t287 () (not @t286)) % 0.38/0.68 (define @t288 () (or @t287 @t283 (= @t243 @t244))) % 0.38/0.68 (define @t289 () (tptp.smaller @t244 @t243)) % 0.38/0.68 (define @t290 () (tptp.greater @t282 @t281)) % 0.38/0.68 (define @t291 () (not @t290)) % 0.38/0.68 (define @t292 () (tptp.smaller_or_equal @t285 @t284)) % 0.38/0.68 (define @t293 () (not @t292)) % 0.38/0.68 (define @t294 () (or @t293 @t291 @t289)) % 0.38/0.68 (define @t295 () (or (not (tptp.greater @t285 @t284)) (not (tptp.smaller_or_equal @t282 @t281)) (tptp.greater @t244 @t243))) % 0.38/0.68 (define @t296 () (and @t295 @t294 @t288)) % 0.38/0.68 (define @t297 () (or @t172 @t296)) % 0.38/0.68 (define @t298 () (forall @t36 (or @t124 (and @t279 @t276 @t272)))) % 0.38/0.68 (define @t299 () (@list @t128 @t151 @t154)) % 0.38/0.68 (define @t300 () (= @t285 @t284)) % 0.38/0.68 (define @t301 () (not @t300)) % 0.38/0.68 (define @t302 () (and @t295 @t294 (or @t301 (not (= @t282 @t281)) @t245))) % 0.38/0.68 (define @t303 () (or @t172 @t302)) % 0.38/0.68 (define @t304 () (or @t172 @t286)) % 0.38/0.68 (define @t305 () (forall @t36 (or @t124 @t270))) % 0.38/0.68 (define @t306 () (or @t172 @t300)) % 0.38/0.68 (define @t307 () (or (tptp.smaller @t285 @t284) @t300)) % 0.38/0.68 (define @t308 () (= @t292 @t307)) % 0.38/0.68 (define @t309 () (not @t96)) % 0.38/0.68 (define @t310 () (or @t172 @t161 @t290)) % 0.38/0.68 (define @t311 () (= @t289 @t249)) % 0.38/0.68 (define @t312 () (tptp.smaller_or_equal @t166 tptp.eta)) % 0.38/0.68 (define @t313 () (not @t312)) % 0.38/0.68 (define @t314 () (or @t313 @t199)) % 0.38/0.68 (define @t315 () (= tptp.eta @t129)) 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(or @t327 @t331)) % 0.38/0.68 (define @t336 () (= @t312 @t335)) % 0.38/0.68 (define @t337 () (not @t335)) % 0.38/0.68 (define @t338 () (@list @t335)) % 0.38/0.68 (define @t339 () (not @t324)) % 0.38/0.68 (define @t340 () (or @t323 @t331)) % 0.38/0.68 (define @t341 () (tptp.smaller_or_equal tptp.eta @t166)) % 0.38/0.68 (define @t342 () (= @t341 @t340)) % 0.38/0.68 (define @t343 () (@list @t166 @t129)) % 0.38/0.68 (define @t344 () (= @t166 @t129)) % 0.38/0.68 (define @t345 () (tptp.smaller @t166 @t129)) % 0.38/0.68 (define @t346 () (or @t345 @t344)) % 0.38/0.68 (define @t347 () (= @t167 @t346)) % 0.38/0.68 (define @t348 () (tptp.greater @t129 @t166)) % 0.38/0.68 (define @t349 () (not @t348)) % 0.38/0.68 (define @t350 () (or @t349 @t339 @t132)) % 0.38/0.68 (define @t351 () (= @t345 @t348)) % 0.38/0.68 (define @t352 () (not @t345)) % 0.38/0.68 (define @t353 () (not @t341)) % 0.38/0.68 (define @t354 () (not @t344)) % 0.38/0.68 (define @t355 () (and @t341 @t344 @t321)) % 0.38/0.68 (assume 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0.38/0.68 (step @p572 :rule chain_m_resolution :premises (@p571 @p554 @p136 @p569) :args (@t349 (@list false true false) (@list @t324 @t132 @t350))) % 0.38/0.68 (step @p573 :rule cnf_equiv_pos1 :args (@t351)) % 0.38/0.68 (step @p574 :rule reordering :premises (@p573) :args ((or @t352 @t348 (not @t351)))) % 0.38/0.68 (step @p575 :rule chain_m_resolution :premises (@p574 @p572 @p568) :args (@t352 @t196 (@list @t348 @t351))) % 0.38/0.68 (step @p576 :rule cnf_or_pos :args (@t346)) % 0.38/0.68 (step @p577 :rule reordering :premises (@p576) :args ((or @t345 @t344 (not @t346)))) % 0.38/0.68 (step @p578 :rule chain_m_resolution :premises (@p577 @p575 @p567) :args (@t344 @t196 (@list @t345 @t346))) % 0.38/0.68 (step @p579 :rule bool-double-not-elim :args (@t319)) % 0.38/0.68 (step @p580 :rule refl :args (@t353)) % 0.38/0.68 (step @p581 :rule refl :args (@t354)) % 0.38/0.68 (step @p582 :rule nary_cong :premises (@p581 @p580 @p579) :args ((or @t354 @t353 (not @t321)))) % 0.38/0.68 (assume-push @p640 @t341) % 0.38/0.68 (assume-push @p641 @t344) % 0.38/0.68 (assume-push @p642 @t321) % 0.38/0.68 (step @p586 :rule evaluate :args ((= false true))) % 0.38/0.68 (step @p587 :rule true_intro :premises (@p563)) % 0.38/0.68 (step @p588 :rule symm :premises (@p578)) % 0.38/0.68 (step @p589 :rule refl :args (tptp.eta)) % 0.38/0.68 (step @p590 :rule cong :premises (@p589 @p588) :args (@t319)) % 0.38/0.68 (step @p591 :rule false_intro :premises (@p642)) % 0.38/0.68 (step @p592 :rule symm :premises (@p591)) % 0.38/0.68 (step @p593 :rule trans :premises (@p592 @p590 @p587)) % 0.38/0.68 (step @p594 false :rule eq_resolve :premises (@p593 @p586)) % 0.38/0.68 (step-pop @p643 :rule scope :premises (@p594)) % 0.38/0.68 (step-pop @p644 :rule scope :premises (@p643)) % 0.38/0.68 (step-pop @p645 :rule scope :premises (@p644)) % 0.38/0.68 (step @p595 :rule process_scope :premises (@p645) :args (false)) % 0.38/0.68 (assume-push @p646 @t344) % 0.38/0.68 (assume-push @p647 @t341) % 0.38/0.68 (assume-push @p648 @t321) % 0.38/0.68 (step @p602 :rule and_intro :premises (@p563 @p578 @p648)) % 0.38/0.68 (step-pop @p649 :rule scope :premises (@p602)) % 0.38/0.68 (step-pop @p650 :rule scope :premises (@p649)) % 0.38/0.68 (step-pop @p651 :rule scope :premises (@p650)) % 0.38/0.68 (step @p603 :rule process_scope :premises (@p651) :args (@t355)) % 0.38/0.68 (step @p607 :rule implies_elim :premises (@p603)) % 0.38/0.68 (step @p608 :rule resolution :premises (@p607 @p595) :args (true @t355)) % 0.38/0.68 (step @p609 :rule not_and :premises (@p608)) % 0.38/0.68 (step @p610 :rule eq_resolve :premises (@p609 @p582)) % 0.38/0.68 (step @p611 false :rule chain_m_resolution :premises (@p610 @p578 @p563 @p509) :args (false (@list false false true) (@list @t344 @t341 @t319))) % 0.38/0.68 ) % 0.38/0.68 % SZS output end Proof % 0.38/0.68 % cvc5 exiting %------------------------------------------------------------------------------