%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT064+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 06:04:55 AM UTC 2026 % Result : Theorem 0.38s 0.65s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT064+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.34 % Computer : n006.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Mon Sep 7 13:43:16 UTC 2026 % 0.07/0.34 % CPUTime : % 0.12/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.65 % SZS status Theorem % 0.38/0.65 % SZS output start Proof % 0.38/0.65 ( % 0.38/0.65 (declare-sort $$unsorted 0) % 0.38/0.65 (declare-const tptp.very_low $$unsorted) % 0.38/0.65 (declare-const tptp.mod1 $$unsorted) % 0.38/0.65 (declare-const tptp.mod2 $$unsorted) % 0.38/0.65 (declare-const tptp.hazard_of_mortality (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.high $$unsorted) % 0.38/0.65 (declare-const tptp.robust_position (-> $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.tau $$unsorted) % 0.38/0.65 (declare-const tptp.positional_advantage (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.eta $$unsorted) % 0.38/0.65 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.age (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.65 (declare-const tptp.has_immunity (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.low $$unsorted) % 0.38/0.65 (declare-const tptp.zero $$unsorted) % 0.38/0.65 (declare-const tptp.is_aligned (-> $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.has_endowment (-> $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.dissimilar (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.65 (declare-const tptp.sigma $$unsorted) % 0.38/0.65 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.65 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.65 (define @t3 () (= @t2 @t1)) % 0.38/0.65 (define @t4 () (tptp.smaller @t2 @t1)) % 0.38/0.65 (define @t5 () (@list @t2 @t1)) % 0.38/0.65 (define @t6 () (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.38/0.65 (define @t7 () (tptp.greater @t2 @t1)) % 0.38/0.65 (define @t8 () (tptp.greater @t1 @t2)) % 0.38/0.65 (define @t9 () (forall @t5 (= @t4 @t8))) % 0.38/0.65 (define @t10 () (forall @t5 (not (and @t7 @t8)))) % 0.38/0.65 (define @t11 () (@var "Z" $$unsorted)) % 0.38/0.65 (define @t12 () (tptp.greater @t2 @t11)) % 0.38/0.65 (define @t13 () (tptp.greater @t1 @t11)) % 0.38/0.65 (define @t14 () (and @t7 @t13)) % 0.38/0.65 (define @t15 () (forall (@list @t2 @t1 @t11) (=> @t14 @t12))) % 0.38/0.65 (define @t16 () (@var "T" $$unsorted)) % 0.38/0.65 (define @t17 () (tptp.has_immunity @t2 @t16)) % 0.38/0.65 (define @t18 () (not @t17)) % 0.38/0.65 (define @t19 () (tptp.age @t2 @t16)) % 0.38/0.65 (define @t20 () (tptp.organization @t2)) % 0.38/0.65 (define @t21 () (@list @t16)) % 0.38/0.65 (define @t22 () (tptp.has_endowment @t2)) % 0.38/0.65 (define @t23 () (@list @t2)) % 0.38/0.65 (define @t24 () (not @t22)) % 0.38/0.65 (define @t25 () (and @t20 @t24)) % 0.38/0.65 (define @t26 () (@list @t2 @t16)) % 0.38/0.65 (define @t27 () (forall @t26 (=> @t25 @t18))) % 0.38/0.65 (define @t28 () (tptp.is_aligned @t2 @t16)) % 0.38/0.65 (define @t29 () (@var "T0" $$unsorted)) % 0.38/0.65 (define @t30 () (tptp.is_aligned @t2 @t29)) % 0.38/0.65 (define @t31 () (and @t20 (not (= @t30 @t28)))) % 0.38/0.65 (define @t32 () (tptp.dissimilar @t2 @t29 @t16)) % 0.38/0.65 (define @t33 () (= @t32 @t31)) % 0.38/0.65 (define @t34 () (@list @t2 @t29 @t16)) % 0.38/0.65 (define @t35 () (forall @t34 @t33)) % 0.38/0.65 (define @t36 () (= @t19 tptp.zero)) % 0.38/0.65 (define @t37 () (and @t20 @t36)) % 0.38/0.65 (define @t38 () (forall @t26 (=> @t37 @t28))) % 0.38/0.65 (define @t39 () (tptp.greater @t19 tptp.sigma)) % 0.38/0.65 (define @t40 () (tptp.age @t2 @t29)) % 0.38/0.65 (define @t41 () (= @t40 tptp.zero)) % 0.38/0.65 (define @t42 () (and @t20 @t41)) % 0.38/0.65 (define @t43 () (=> @t42 (= @t39 @t32))) % 0.38/0.65 (define @t44 () (forall @t34 @t43)) % 0.38/0.65 (define @t45 () (tptp.positional_advantage @t2 @t16)) % 0.38/0.65 (define @t46 () (tptp.greater @t19 tptp.tau)) % 0.38/0.65 (define @t47 () (not @t45)) % 0.38/0.65 (define @t48 () (tptp.smaller_or_equal @t19 tptp.tau)) % 0.38/0.65 (define @t49 () (and (=> @t48 @t47) (=> @t46 @t45))) % 0.38/0.65 (define @t50 () (forall @t21 @t49)) % 0.38/0.65 (define @t51 () (tptp.robust_position @t2)) % 0.38/0.65 (define @t52 () (= @t51 @t50)) % 0.38/0.65 (define @t53 () (forall @t23 @t52)) % 0.38/0.65 (define @t54 () (tptp.hazard_of_mortality @t2 @t16)) % 0.38/0.65 (define @t55 () (not @t28)) % 0.38/0.65 (define @t56 () (and @t55 @t47)) % 0.38/0.65 (define @t57 () (=> @t56 (= @t54 tptp.high))) % 0.38/0.65 (define @t58 () (and @t28 @t47)) % 0.38/0.65 (define @t59 () (=> @t58 (= @t54 tptp.mod2))) % 0.38/0.65 (define @t60 () (and @t55 @t45)) % 0.38/0.65 (define @t61 () (=> @t60 (= @t54 tptp.mod1))) % 0.38/0.65 (define @t62 () (and @t28 @t45)) % 0.38/0.65 (define @t63 () (=> @t62 (= @t54 tptp.low))) % 0.38/0.65 (define @t64 () (and @t63 @t61 @t59 @t57)) % 0.38/0.65 (define @t65 () (=> @t18 @t64)) % 0.38/0.65 (define @t66 () (=> @t17 (= @t54 tptp.very_low))) % 0.38/0.65 (define @t67 () (and @t66 @t65)) % 0.38/0.65 (define @t68 () (=> @t20 @t67)) % 0.38/0.65 (define @t69 () (forall @t26 @t68)) % 0.38/0.65 (define @t70 () (tptp.greater tptp.mod1 tptp.low)) % 0.38/0.65 (define @t71 () (tptp.greater tptp.mod2 tptp.mod1)) % 0.38/0.65 (define @t72 () (@var "T1" $$unsorted)) % 0.38/0.65 (define @t73 () (tptp.hazard_of_mortality @t2 @t72)) % 0.38/0.65 (define @t74 () (@var "T3" $$unsorted)) % 0.38/0.65 (define @t75 () (tptp.hazard_of_mortality @t2 @t74)) % 0.38/0.65 (define @t76 () (@var "T2" $$unsorted)) % 0.38/0.65 (define @t77 () (and (tptp.smaller (tptp.hazard_of_mortality @t2 @t76) @t75) (tptp.smaller @t75 @t73) (= @t73 (tptp.hazard_of_mortality @t2 @t29)))) % 0.38/0.65 (define @t78 () (tptp.greater (tptp.age @t2 @t74) tptp.sigma)) % 0.38/0.65 (define @t79 () (tptp.age @t2 @t76)) % 0.38/0.65 (define @t80 () (tptp.smaller_or_equal @t79 tptp.sigma)) % 0.38/0.65 (define @t81 () (tptp.greater @t79 tptp.tau)) % 0.38/0.65 (define @t82 () (tptp.smaller_or_equal (tptp.age @t2 @t72) tptp.tau)) % 0.38/0.65 (define @t83 () (tptp.greater tptp.sigma tptp.tau)) % 0.38/0.65 (define @t84 () (tptp.greater tptp.tau tptp.zero)) % 0.38/0.65 (define @t85 () (tptp.greater tptp.sigma tptp.zero)) % 0.38/0.65 (define @t86 () (and @t20 @t51 @t24 @t41 @t85 @t84 @t83 @t82 @t81 @t80 @t78)) % 0.38/0.65 (define @t87 () (=> @t86 @t77)) % 0.38/0.65 (define @t88 () (@list @t2 @t29 @t72 @t76 @t74)) % 0.38/0.65 (define @t89 () (forall @t88 @t87)) % 0.38/0.65 (define @t90 () (not @t89)) % 0.38/0.65 (define @t91 () (not @t78)) % 0.38/0.65 (define @t92 () (not @t80)) % 0.38/0.65 (define @t93 () (not @t81)) % 0.38/0.65 (define @t94 () (not @t82)) % 0.38/0.65 (define @t95 () (= tptp.zero @t40)) % 0.38/0.65 (define @t96 () (not @t95)) % 0.38/0.65 (define @t97 () (not @t51)) % 0.38/0.65 (define @t98 () (not @t20)) % 0.38/0.65 (define @t99 () (or @t98 @t97 @t22 @t96 @t94 @t93 @t92 @t91 @t77)) % 0.38/0.65 (define @t100 () (forall @t88 @t99)) % 0.38/0.65 (define @t101 () (@quantifiers_skolemize @t100 3)) % 0.38/0.65 (define @t102 () (@quantifiers_skolemize @t100 0)) % 0.38/0.65 (define @t103 () (tptp.age @t102 @t101)) % 0.38/0.65 (define @t104 () (tptp.smaller tptp.sigma @t103)) % 0.38/0.65 (define @t105 () (tptp.greater @t103 tptp.sigma)) % 0.38/0.65 (define @t106 () (= @t104 @t105)) % 0.38/0.65 (define @t107 () (@list tptp.sigma @t103)) % 0.38/0.65 (define @t108 () (= @t105 @t104)) % 0.38/0.65 (define @t109 () (@list false)) % 0.38/0.65 (define @t110 () (@list @t9)) % 0.38/0.65 (define @t111 () (= @t32 @t39)) % 0.38/0.65 (define @t112 () (or @t98 @t96 @t111)) % 0.38/0.65 (define @t113 () (and @t20 @t95)) % 0.38/0.65 (define @t114 () (@quantifiers_skolemize @t100 1)) % 0.38/0.65 (define @t115 () (tptp.dissimilar @t102 @t114 @t101)) % 0.38/0.65 (define @t116 () (tptp.age @t102 @t114)) % 0.38/0.65 (define @t117 () (= tptp.zero @t116)) % 0.38/0.65 (define @t118 () (not @t117)) % 0.38/0.65 (define @t119 () (tptp.organization @t102)) % 0.38/0.65 (define @t120 () (not @t119)) % 0.38/0.65 (define @t121 () (or @t120 @t118 (= @t115 @t105))) % 0.38/0.65 (define @t122 () (forall @t34 @t112)) % 0.38/0.65 (define @t123 () (@list @t102 @t114 @t101)) % 0.38/0.65 (define @t124 () (= @t105 @t115)) % 0.38/0.65 (define @t125 () (or @t120 @t118 @t124)) % 0.38/0.65 (define @t126 () (@list @t122)) % 0.38/0.65 (define @t127 () (not @t83)) % 0.38/0.65 (define @t128 () (not @t84)) % 0.38/0.65 (define @t129 () (not @t85)) % 0.38/0.65 (define @t130 () (or @t129 @t128 @t127 @t99)) % 0.38/0.65 (define @t131 () (or @t98 @t97 @t22 @t96 @t129 @t128 @t127 @t94 @t93 @t92 @t91 @t77)) % 0.38/0.65 (define @t132 () (not @t24)) % 0.38/0.65 (define @t133 () (or @t98 @t97 @t132 @t96 @t129 @t128 @t127 @t94 @t93 @t92 @t91)) % 0.38/0.65 (define @t134 () (and @t20 @t51 @t24 @t95 @t85 @t84 @t83 @t82 @t81 @t80 @t78)) % 0.38/0.65 (define @t135 () (tptp.hazard_of_mortality @t102 @t114)) % 0.38/0.65 (define @t136 () (@quantifiers_skolemize @t100 2)) % 0.38/0.65 (define @t137 () (tptp.hazard_of_mortality @t102 @t136)) % 0.38/0.65 (define @t138 () (= @t137 @t135)) % 0.38/0.65 (define @t139 () (@quantifiers_skolemize @t100 4)) % 0.38/0.65 (define @t140 () (tptp.hazard_of_mortality @t102 @t139)) % 0.38/0.65 (define @t141 () (tptp.smaller @t140 @t137)) % 0.38/0.65 (define @t142 () (tptp.hazard_of_mortality @t102 @t101)) % 0.38/0.65 (define @t143 () (tptp.smaller @t142 @t140)) % 0.38/0.65 (define @t144 () (and @t143 @t141 @t138)) % 0.38/0.65 (define @t145 () (tptp.age @t102 @t139)) % 0.38/0.65 (define @t146 () (tptp.greater @t145 tptp.sigma)) % 0.38/0.65 (define @t147 () (not @t146)) % 0.38/0.65 (define @t148 () (tptp.smaller_or_equal @t103 tptp.sigma)) % 0.38/0.65 (define @t149 () (not @t148)) % 0.38/0.65 (define @t150 () (tptp.greater @t103 tptp.tau)) % 0.38/0.65 (define @t151 () (not @t150)) % 0.38/0.65 (define @t152 () (tptp.age @t102 @t136)) % 0.38/0.65 (define @t153 () (tptp.smaller_or_equal @t152 tptp.tau)) % 0.38/0.65 (define @t154 () (not @t153)) % 0.38/0.65 (define @t155 () (tptp.has_endowment @t102)) % 0.38/0.65 (define @t156 () (tptp.robust_position @t102)) % 0.38/0.65 (define @t157 () (not @t156)) % 0.38/0.65 (define @t158 () (or @t120 @t157 @t155 @t118 @t154 @t151 @t149 @t147 @t144)) % 0.38/0.65 (define @t159 () (@list true)) % 0.38/0.65 (define @t160 () (@list @t158)) % 0.38/0.65 (define @t161 () (@list false false false)) % 0.38/0.65 (define @t162 () (not @t30)) % 0.38/0.65 (define @t163 () (and @t20 (= @t162 @t28))) % 0.38/0.65 (define @t164 () (= @t32 @t163)) % 0.38/0.65 (define @t165 () (not @t36)) % 0.38/0.65 (define @t166 () (or @t98 @t165 @t28)) % 0.38/0.65 (define @t167 () (tptp.is_aligned @t102 @t114)) % 0.38/0.65 (define @t168 () (not (= @t116 tptp.zero))) % 0.38/0.65 (define @t169 () (or @t120 @t168 @t167)) % 0.38/0.65 (define @t170 () (forall @t26 @t166)) % 0.38/0.65 (define @t171 () (@list @t102 @t114)) % 0.38/0.65 (define @t172 () (or @t120 @t118 @t167)) % 0.38/0.65 (define @t173 () (= tptp.high @t54)) % 0.38/0.65 (define @t174 () (not @t47)) % 0.38/0.65 (define @t175 () (not @t55)) % 0.38/0.65 (define @t176 () (= tptp.mod2 @t54)) % 0.38/0.65 (define @t177 () (= tptp.mod1 @t54)) % 0.38/0.65 (define @t178 () (= tptp.low @t54)) % 0.38/0.65 (define @t179 () (and (=> @t62 @t178) (=> @t60 @t177) (=> @t58 @t176) (=> @t56 @t173))) % 0.38/0.65 (define @t180 () (= tptp.very_low @t54)) % 0.38/0.65 (define @t181 () (and (=> @t17 @t180) (=> @t18 @t179))) % 0.38/0.65 (define @t182 () (@list @t102 @t101)) % 0.38/0.65 (define @t183 () (tptp.positional_advantage @t102 @t101)) % 0.38/0.65 (define @t184 () (tptp.is_aligned @t102 @t101)) % 0.38/0.65 (define @t185 () (not @t184)) % 0.38/0.65 (define @t186 () (not @t183)) % 0.38/0.65 (define @t187 () (= tptp.low @t142)) % 0.38/0.65 (define @t188 () (or @t185 @t186 @t187)) % 0.38/0.65 (define @t189 () (and @t188 (or @t184 @t186 (= tptp.mod1 @t142)) (or @t185 @t183 (= tptp.mod2 @t142)) (or @t184 @t183 (= tptp.high @t142)))) % 0.38/0.65 (define @t190 () (tptp.has_immunity @t102 @t101)) % 0.38/0.65 (define @t191 () (or @t190 @t189)) % 0.38/0.65 (define @t192 () (not @t190)) % 0.38/0.65 (define @t193 () (and (or @t192 (= tptp.very_low @t142)) @t191)) % 0.38/0.65 (define @t194 () (or @t120 @t193)) % 0.38/0.65 (define @t195 () (@list false false)) % 0.38/0.65 (define @t196 () (or @t120 @t155 @t192)) % 0.38/0.65 (define @t197 () (@list false true false)) % 0.38/0.65 (define @t198 () (@list true false)) % 0.38/0.65 (define @t199 () (@list @t102 @t139)) % 0.38/0.65 (define @t200 () (tptp.positional_advantage @t102 @t139)) % 0.38/0.65 (define @t201 () (tptp.is_aligned @t102 @t139)) % 0.38/0.65 (define @t202 () (not @t201)) % 0.38/0.65 (define @t203 () (= tptp.mod1 @t140)) % 0.38/0.65 (define @t204 () (not @t200)) % 0.38/0.65 (define @t205 () (or @t201 @t204 @t203)) % 0.38/0.65 (define @t206 () (and (or @t202 @t204 (= tptp.low @t140)) @t205 (or @t202 @t200 (= tptp.mod2 @t140)) (or @t201 @t200 (= tptp.high @t140)))) % 0.38/0.65 (define @t207 () (tptp.has_immunity @t102 @t139)) % 0.38/0.65 (define @t208 () (or @t207 @t206)) % 0.38/0.65 (define @t209 () (not @t207)) % 0.38/0.65 (define @t210 () (and (or @t209 (= tptp.very_low @t140)) @t208)) % 0.38/0.65 (define @t211 () (or @t120 @t210)) % 0.38/0.65 (define @t212 () (or @t120 @t155 @t209)) % 0.38/0.65 (define @t213 () (or (not @t46) @t45)) % 0.38/0.65 (define @t214 () (forall @t21 @t213)) % 0.38/0.65 (define @t215 () (@list @t16)) % 0.38/0.65 (define @t216 () (@var "BOUND_VARIABLE_7657" $$unsorted)) % 0.38/0.65 (define @t217 () (or (not @t48) @t47)) % 0.38/0.65 (define @t218 () (forall @t21 @t217)) % 0.38/0.65 (define @t219 () (@var "BOUND_VARIABLE_7647" $$unsorted)) % 0.38/0.65 (define @t220 () (and @t218 @t214)) % 0.38/0.65 (define @t221 () (forall (@list @t216) (or (not (tptp.greater (tptp.age @t102 @t216) tptp.tau)) (tptp.positional_advantage @t102 @t216)))) % 0.38/0.65 (define @t222 () (forall (@list @t219) (or (not (tptp.smaller_or_equal (tptp.age @t102 @t219) tptp.tau)) (not (tptp.positional_advantage @t102 @t219))))) % 0.38/0.65 (define @t223 () (and @t222 @t221)) % 0.38/0.65 (define @t224 () (= @t156 @t223)) % 0.38/0.65 (define @t225 () (not @t223)) % 0.38/0.65 (define @t226 () (@list @t223)) % 0.38/0.65 (define @t227 () (not @t13)) % 0.38/0.65 (define @t228 () (not @t7)) % 0.38/0.65 (define @t229 () (tptp.greater @t145 tptp.tau)) % 0.38/0.65 (define @t230 () (or @t147 @t127 @t229)) % 0.38/0.65 (define @t231 () (not @t229)) % 0.38/0.65 (define @t232 () (or @t231 @t200)) % 0.38/0.65 (define @t233 () (@list @t102 @t114 @t139)) % 0.38/0.65 (define @t234 () (tptp.dissimilar @t102 @t114 @t139)) % 0.38/0.65 (define @t235 () (or @t120 @t118 (= @t234 @t146))) % 0.38/0.65 (define @t236 () (= @t146 @t234)) % 0.38/0.65 (define @t237 () (or @t120 @t118 @t236)) % 0.38/0.65 (define @t238 () (not @t167)) % 0.38/0.65 (define @t239 () (= @t201 @t238)) % 0.38/0.65 (define @t240 () (and @t119 @t239)) % 0.38/0.65 (define @t241 () (= @t234 @t240)) % 0.38/0.65 (define @t242 () (@list true false false)) % 0.38/0.65 (define @t243 () (@list @t102 @t136)) % 0.38/0.65 (define @t244 () (tptp.positional_advantage @t102 @t136)) % 0.38/0.65 (define @t245 () (tptp.is_aligned @t102 @t136)) % 0.38/0.65 (define @t246 () (= tptp.mod2 @t137)) % 0.38/0.65 (define @t247 () (not @t245)) % 0.38/0.65 (define @t248 () (or @t247 @t244 @t246)) % 0.38/0.65 (define @t249 () (not @t244)) % 0.38/0.65 (define @t250 () (and (or @t247 @t249 (= tptp.low @t137)) (or @t245 @t249 (= tptp.mod1 @t137)) @t248 (or @t245 @t244 (= tptp.high @t137)))) % 0.38/0.65 (define @t251 () (tptp.has_immunity @t102 @t136)) % 0.38/0.65 (define @t252 () (or @t251 @t250)) % 0.38/0.65 (define @t253 () (not @t251)) % 0.38/0.65 (define @t254 () (and (or @t253 (= tptp.very_low @t137)) @t252)) % 0.38/0.65 (define @t255 () (or @t120 @t254)) % 0.38/0.65 (define @t256 () (or @t120 @t155 @t253)) % 0.38/0.65 (define @t257 () (or @t154 @t249)) % 0.38/0.65 (define @t258 () (@list @t102 @t114 @t136)) % 0.38/0.65 (define @t259 () (tptp.dissimilar @t102 @t114 @t136)) % 0.38/0.65 (define @t260 () (tptp.greater @t152 tptp.sigma)) % 0.38/0.65 (define @t261 () (or @t120 @t118 (= @t259 @t260))) % 0.38/0.65 (define @t262 () (= @t260 @t259)) % 0.38/0.65 (define @t263 () (or @t120 @t118 @t262)) % 0.38/0.65 (define @t264 () (tptp.greater tptp.sigma @t152)) % 0.38/0.65 (define @t265 () (tptp.greater tptp.tau @t152)) % 0.38/0.65 (define @t266 () (not @t265)) % 0.38/0.65 (define @t267 () (or @t127 @t266 @t264)) % 0.38/0.65 (define @t268 () (@list @t152 tptp.tau)) % 0.38/0.65 (define @t269 () (tptp.smaller @t152 tptp.tau)) % 0.38/0.65 (define @t270 () (= @t269 @t265)) % 0.38/0.65 (define @t271 () (or @t269 (= @t152 tptp.tau))) % 0.38/0.65 (define @t272 () (= @t153 @t271)) % 0.38/0.65 (define @t273 () (= tptp.tau @t152)) % 0.38/0.65 (define @t274 () (or @t269 @t273)) % 0.38/0.65 (define @t275 () (= @t153 @t274)) % 0.38/0.65 (define @t276 () (@list @t6)) % 0.38/0.65 (define @t277 () (not @t273)) % 0.38/0.65 (define @t278 () (not @t264)) % 0.38/0.65 (define @t279 () (= false true)) % 0.38/0.65 (define @t280 () (not @t260)) % 0.38/0.65 (define @t281 () (or @t278 @t280)) % 0.38/0.65 (define @t282 () (not @t259)) % 0.38/0.65 (define @t283 () (= @t245 @t238)) % 0.38/0.65 (define @t284 () (and @t119 @t283)) % 0.38/0.65 (define @t285 () (= @t259 @t284)) % 0.38/0.65 (define @t286 () (not @t284)) % 0.38/0.65 (define @t287 () (not @t283)) % 0.38/0.65 (define @t288 () (@list false true)) % 0.38/0.65 (define @t289 () (tptp.positional_advantage @t102 @t114)) % 0.38/0.65 (define @t290 () (= tptp.mod2 @t135)) % 0.38/0.65 (define @t291 () (or @t238 @t289 @t290)) % 0.38/0.65 (define @t292 () (not @t289)) % 0.38/0.65 (define @t293 () (and (or @t238 @t292 (= tptp.low @t135)) (or @t167 @t292 (= tptp.mod1 @t135)) @t291 (or @t167 @t289 (= tptp.high @t135)))) % 0.38/0.65 (define @t294 () (tptp.has_immunity @t102 @t114)) % 0.38/0.65 (define @t295 () (or @t294 @t293)) % 0.38/0.65 (define @t296 () (not @t294)) % 0.38/0.65 (define @t297 () (and (or @t296 (= tptp.very_low @t135)) @t295)) % 0.38/0.65 (define @t298 () (or @t120 @t297)) % 0.38/0.65 (define @t299 () (or @t120 @t155 @t296)) % 0.38/0.65 (define @t300 () (@list tptp.zero tptp.tau)) % 0.38/0.65 (define @t301 () (tptp.smaller tptp.zero tptp.tau)) % 0.38/0.65 (define @t302 () (= @t301 @t84)) % 0.38/0.65 (define @t303 () (= @t84 @t301)) % 0.38/0.65 (define @t304 () (or @t301 (= tptp.zero tptp.tau))) % 0.38/0.65 (define @t305 () (tptp.smaller_or_equal tptp.zero tptp.tau)) % 0.38/0.65 (define @t306 () (= @t305 @t304)) % 0.38/0.65 (define @t307 () (tptp.smaller_or_equal @t116 tptp.tau)) % 0.38/0.65 (define @t308 () (not @t307)) % 0.38/0.65 (define @t309 () (or @t308 @t292)) % 0.38/0.65 (define @t310 () (and @t290 @t246)) % 0.38/0.65 (define @t311 () (not @t246)) % 0.38/0.65 (define @t312 () (tptp.smaller tptp.mod1 tptp.mod2)) % 0.38/0.65 (define @t313 () (= @t312 @t71)) % 0.38/0.65 (define @t314 () (= @t71 @t312)) % 0.38/0.65 (define @t315 () (and @t312 @t246 @t203)) % 0.38/0.65 (define @t316 () (not @t203)) % 0.38/0.65 (define @t317 () (tptp.greater @t140 @t142)) % 0.38/0.65 (define @t318 () (= @t143 @t317)) % 0.38/0.65 (define @t319 () (not @t317)) % 0.38/0.65 (define @t320 () (not @t187)) % 0.38/0.65 (define @t321 () (not @t70)) % 0.38/0.65 (define @t322 () (and @t70 @t203 @t187 @t319)) % 0.38/0.65 (define @t323 () (or @t151 @t183)) % 0.38/0.65 (define @t324 () (= @t184 @t238)) % 0.38/0.65 (define @t325 () (and @t119 @t324)) % 0.38/0.65 (define @t326 () (= @t115 @t325)) % 0.38/0.65 (define @t327 () (not @t105)) % 0.38/0.65 (define @t328 () (@list @t103 tptp.sigma)) % 0.38/0.65 (define @t329 () (tptp.greater tptp.sigma @t103)) % 0.38/0.65 (define @t330 () (not @t329)) % 0.38/0.65 (define @t331 () (or @t330 @t327)) % 0.38/0.65 (define @t332 () (tptp.smaller @t103 tptp.sigma)) % 0.38/0.65 (define @t333 () (= @t332 @t329)) % 0.38/0.65 (define @t334 () (not @t332)) % 0.38/0.65 (define @t335 () (or @t332 (= @t103 tptp.sigma))) % 0.38/0.65 (define @t336 () (= @t148 @t335)) % 0.38/0.65 (define @t337 () (= tptp.sigma @t103)) % 0.38/0.65 (define @t338 () (or @t332 @t337)) % 0.38/0.65 (define @t339 () (= @t148 @t338)) % 0.38/0.65 (define @t340 () (not @t104)) % 0.38/0.65 (define @t341 () (not @t337)) % 0.38/0.65 (define @t342 () (and @t334 @t337 @t104)) % 0.38/0.65 (assume @p1 @t6) % 0.38/0.65 (assume @p2 (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t7 @t3)))) % 0.38/0.65 (assume @p3 @t9) % 0.38/0.65 (assume @p4 @t10) % 0.38/0.65 (assume @p5 @t15) % 0.38/0.65 (assume @p6 (forall @t5 (or @t4 @t3 @t7))) % 0.38/0.65 (assume @p7 (forall @t23 (= @t22 (forall @t21 (and @t20 (=> (tptp.smaller_or_equal @t19 tptp.eta) @t17) (=> (tptp.greater @t19 tptp.eta) @t18)))))) % 0.38/0.65 (assume @p8 @t27) % 0.38/0.65 (assume @p9 @t35) % 0.38/0.65 (assume @p10 @t38) % 0.38/0.65 (assume @p11 @t44) % 0.38/0.65 (assume @p12 @t53) % 0.38/0.65 (assume @p13 @t69) % 0.38/0.65 (assume @p14 (tptp.greater tptp.high tptp.mod1)) % 0.38/0.65 (assume @p15 @t70) % 0.38/0.65 (assume @p16 (tptp.greater tptp.low tptp.very_low)) % 0.38/0.65 (assume @p17 (tptp.greater tptp.high tptp.mod2)) % 0.38/0.65 (assume @p18 (tptp.greater tptp.mod2 tptp.low)) % 0.38/0.65 (assume @p19 @t71) % 0.38/0.65 (assume @p20 @t90) % 0.38/0.65 (assume @p21 true) % 0.38/0.65 (step @p22 :rule eq-symm :args (@t104 @t105)) % 0.38/0.65 (step @p23 :rule refl :args (@t9)) % 0.38/0.65 (step @p24 :rule cong :premises (@p23 @p22) :args ((=> @t9 @t106))) % 0.38/0.65 (assume-push @p755 @t9) % 0.38/0.65 (step @p26 :rule instantiate :premises (@p3) :args (@t107)) % 0.38/0.65 (step-pop @p756 :rule scope :premises (@p26)) % 0.38/0.65 (step @p27 :rule process_scope :premises (@p756) :args (@t106)) % 0.38/0.65 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 0.38/0.65 (step @p30 :rule implies_elim :premises (@p29)) % 0.38/0.65 (step @p31 :rule chain_m_resolution :premises (@p30 @p3) :args (@t108 @t109 @t110)) % 0.38/0.65 (step @p32 :rule aci_norm :args ((= (or (or @t98 @t96) @t111) @t112))) % 0.38/0.65 (step @p33 :rule refl :args (@t111)) % 0.38/0.65 (step @p34 :rule bool-and-de-morgan :args (@t20 @t95 true)) % 0.38/0.65 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t113) @t111))) % 0.38/0.65 (step @p36 :rule trans :premises (@p35 @p32)) % 0.38/0.65 (step @p37 :rule bool-impl-elim :args (@t113 @t111)) % 0.38/0.65 (step @p38 :rule trans :premises (@p37 @p36)) % 0.38/0.65 (step @p39 :rule cong :premises (@p38) :args ((forall @t34 (=> @t113 @t111)))) % 0.38/0.65 (step @p40 :rule eq-symm :args (@t39 @t32)) % 0.38/0.65 (step @p41 :rule eq-symm :args (@t40 tptp.zero)) % 0.38/0.65 (step @p42 :rule refl :args (@t20)) % 0.38/0.65 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t42)) % 0.38/0.65 (step @p44 :rule cong :premises (@p43 @p40) :args (@t43)) % 0.38/0.65 (step @p45 :rule cong :premises (@p44) :args (@t44)) % 0.38/0.65 (step @p46 :rule trans :premises (@p45 @p39)) % 0.38/0.65 (step @p47 :rule eq_resolve :premises (@p11 @p46)) % 0.38/0.65 (step @p48 :rule eq-symm :args (@t115 @t105)) % 0.38/0.65 (step @p49 :rule refl :args (@t118)) % 0.38/0.65 (step @p50 :rule refl :args (@t120)) % 0.38/0.65 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t121)) % 0.38/0.65 (step @p52 :rule refl :args (@t122)) % 0.38/0.65 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t122 @t121))) % 0.38/0.65 (assume-push @p757 @t122) % 0.38/0.65 (step @p55 :rule instantiate :premises (@p47) :args (@t123)) % 0.38/0.65 (step-pop @p758 :rule scope :premises (@p55)) % 0.38/0.65 (step @p56 :rule process_scope :premises (@p758) :args (@t121)) % 0.38/0.65 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 0.38/0.65 (step @p59 :rule implies_elim :premises (@p58)) % 0.38/0.65 (step @p60 :rule chain_m_resolution :premises (@p59 @p47) :args (@t125 @t109 @t126)) % 0.38/0.65 (step @p61 :rule quant-miniscope-or :args ((= (forall @t88 @t130) (or @t129 @t128 @t127 @t100)))) % 0.38/0.65 (step @p62 :rule aci_norm :args ((= @t131 @t130))) % 0.38/0.65 (step @p63 :rule cong :premises (@p62) :args ((forall @t88 @t131))) % 0.38/0.65 (step @p64 :rule trans :premises (@p63 @p61)) % 0.38/0.65 (step @p65 :rule aci_norm :args ((= (or (or @t98 @t97 @t22 @t96 @t129 @t128 @t127 @t94 @t93 @t92 @t91) @t77) @t131))) % 0.38/0.65 (step @p66 :rule refl :args (@t77)) % 0.38/0.65 (step @p67 :rule refl :args (@t91)) % 0.38/0.65 (step @p68 :rule refl :args (@t92)) % 0.38/0.65 (step @p69 :rule refl :args (@t93)) % 0.38/0.65 (step @p70 :rule refl :args (@t94)) % 0.38/0.65 (step @p71 :rule refl :args (@t127)) % 0.38/0.65 (step @p72 :rule refl :args (@t128)) % 0.38/0.65 (step @p73 :rule refl :args (@t129)) % 0.38/0.65 (step @p74 :rule refl :args (@t96)) % 0.38/0.65 (step @p75 :rule bool-double-not-elim :args (@t22)) % 0.38/0.65 (step @p76 :rule refl :args (@t97)) % 0.38/0.65 (step @p77 :rule refl :args (@t98)) % 0.38/0.65 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67) :args (@t133)) % 0.38/0.65 (step @p79 :rule aci_norm :args ((= (or @t98 (or @t97 (or @t132 (or @t96 (or @t129 (or @t128 (or @t127 (or @t94 (or @t93 (or @t92 @t91)))))))))) @t133))) % 0.38/0.65 (step @p80 :rule trans :premises (@p79 @p78)) % 0.38/0.65 (step @p81 :rule bool-and-de-morgan :args (@t80 @t78 true)) % 0.38/0.65 (step @p82 :rule nary_cong :premises (@p69 @p81) :args ((or @t93 (not (and @t80 @t78))))) % 0.38/0.65 (step @p83 :rule bool-and-de-morgan :args (@t81 @t80 (and @t78))) % 0.38/0.65 (step @p84 :rule trans :premises (@p83 @p82)) % 0.38/0.65 (step @p85 :rule nary_cong :premises (@p70 @p84) :args ((or @t94 (not (and @t81 @t80 @t78))))) % 0.38/0.65 (step @p86 :rule bool-and-de-morgan :args (@t82 @t81 (and @t80 @t78))) % 0.38/0.65 (step @p87 :rule trans :premises (@p86 @p85)) % 0.38/0.65 (step @p88 :rule nary_cong :premises (@p71 @p87) :args ((or @t127 (not (and @t82 @t81 @t80 @t78))))) % 0.38/0.65 (step @p89 :rule bool-and-de-morgan :args (@t83 @t82 (and @t81 @t80 @t78))) % 0.38/0.65 (step @p90 :rule trans :premises (@p89 @p88)) % 0.38/0.65 (step @p91 :rule nary_cong :premises (@p72 @p90) :args ((or @t128 (not (and @t83 @t82 @t81 @t80 @t78))))) % 0.38/0.65 (step @p92 :rule bool-and-de-morgan :args (@t84 @t83 (and @t82 @t81 @t80 @t78))) % 0.38/0.65 (step @p93 :rule trans :premises (@p92 @p91)) % 0.38/0.65 (step @p94 :rule nary_cong :premises (@p73 @p93) :args ((or @t129 (not (and @t84 @t83 @t82 @t81 @t80 @t78))))) % 0.38/0.65 (step @p95 :rule bool-and-de-morgan :args (@t85 @t84 (and @t83 @t82 @t81 @t80 @t78))) % 0.38/0.65 (step @p96 :rule trans :premises (@p95 @p94)) % 0.38/0.65 (step @p97 :rule nary_cong :premises (@p74 @p96) :args ((or @t96 (not (and @t85 @t84 @t83 @t82 @t81 @t80 @t78))))) % 0.38/0.65 (step @p98 :rule bool-and-de-morgan :args (@t95 @t85 (and @t84 @t83 @t82 @t81 @t80 @t78))) % 0.38/0.65 (step @p99 :rule trans :premises (@p98 @p97)) % 0.38/0.65 (step @p100 :rule refl :args (@t132)) % 0.38/0.65 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t132 (not (and @t95 @t85 @t84 @t83 @t82 @t81 @t80 @t78))))) % 0.38/0.65 (step @p102 :rule bool-and-de-morgan :args (@t24 @t95 (and @t85 @t84 @t83 @t82 @t81 @t80 @t78))) % 0.38/0.65 (step @p103 :rule trans :premises (@p102 @p101)) % 0.38/0.65 (step @p104 :rule nary_cong :premises (@p76 @p103) :args ((or @t97 (not (and @t24 @t95 @t85 @t84 @t83 @t82 @t81 @t80 @t78))))) % 0.38/0.65 (step @p105 :rule bool-and-de-morgan :args (@t51 @t24 (and @t95 @t85 @t84 @t83 @t82 @t81 @t80 @t78))) % 0.38/0.65 (step @p106 :rule trans :premises (@p105 @p104)) % 0.38/0.65 (step @p107 :rule nary_cong :premises (@p77 @p106) :args ((or @t98 (not (and @t51 @t24 @t95 @t85 @t84 @t83 @t82 @t81 @t80 @t78))))) % 0.38/0.65 (step @p108 :rule bool-and-de-morgan :args (@t20 @t51 (and @t24 @t95 @t85 @t84 @t83 @t82 @t81 @t80 @t78))) % 0.38/0.65 (step @p109 :rule trans :premises (@p108 @p107)) % 0.38/0.65 (step @p110 :rule trans :premises (@p109 @p80)) % 0.38/0.65 (step @p111 :rule nary_cong :premises (@p110 @p66) :args ((or (not @t134) @t77))) % 0.38/0.65 (step @p112 :rule trans :premises (@p111 @p65)) % 0.38/0.65 (step @p113 :rule bool-impl-elim :args (@t134 @t77)) % 0.38/0.65 (step @p114 :rule trans :premises (@p113 @p112)) % 0.38/0.65 (step @p115 :rule cong 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(step-pop @p818 :rule scope :premises (@p736)) % 0.38/0.66 (step-pop @p819 :rule scope :premises (@p818)) % 0.38/0.66 (step-pop @p820 :rule scope :premises (@p819)) % 0.38/0.66 (step @p737 :rule process_scope :premises (@p820) :args (false)) % 0.38/0.66 (assume-push @p821 @t337) % 0.38/0.66 (assume-push @p822 @t334) % 0.38/0.66 (assume-push @p823 @t104) % 0.38/0.66 (step @p744 :rule and_intro :premises (@p822 @p821 @p823)) % 0.38/0.66 (step-pop @p824 :rule scope :premises (@p744)) % 0.38/0.66 (step-pop @p825 :rule scope :premises (@p824)) % 0.38/0.66 (step-pop @p826 :rule scope :premises (@p825)) % 0.38/0.66 (step @p745 :rule process_scope :premises (@p826) :args (@t342)) % 0.38/0.66 (step @p749 :rule implies_elim :premises (@p745)) % 0.38/0.66 (step @p750 :rule resolution :premises (@p749 @p737) :args (true @t342)) % 0.38/0.66 (step @p751 :rule not_and :premises (@p750)) % 0.38/0.66 (step @p752 :rule eq_resolve :premises (@p751 @p725)) % 0.38/0.66 (step @p753 :rule reordering 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