%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT063+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 : n013.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 0.43s 0.78s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT063+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.36 % Computer : n013.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Mon Sep 7 13:40:20 UTC 2026 % 0.08/0.36 % CPUTime : % 0.13/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.43/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.78 % SZS status Theorem % 0.43/0.78 % SZS output start Proof % 0.43/0.78 ( % 0.43/0.78 (declare-sort $$unsorted 0) % 0.43/0.78 (declare-const tptp.very_low $$unsorted) % 0.43/0.78 (declare-const tptp.mod1 $$unsorted) % 0.43/0.78 (declare-const tptp.mod2 $$unsorted) % 0.43/0.78 (declare-const tptp.hazard_of_mortality (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.high $$unsorted) % 0.43/0.78 (declare-const tptp.robust_position (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.tau $$unsorted) % 0.43/0.78 (declare-const tptp.positional_advantage (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.eta $$unsorted) % 0.43/0.78 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.age (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.78 (declare-const tptp.has_immunity (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.low $$unsorted) % 0.43/0.78 (declare-const tptp.zero $$unsorted) % 0.43/0.78 (declare-const tptp.is_aligned (-> $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.has_endowment (-> $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.dissimilar (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.78 (declare-const tptp.sigma $$unsorted) % 0.43/0.78 (define @t1 () (@var "Y" $$unsorted)) % 0.43/0.78 (define @t2 () (@var "X" $$unsorted)) % 0.43/0.78 (define @t3 () (= @t2 @t1)) % 0.43/0.78 (define @t4 () (tptp.smaller @t2 @t1)) % 0.43/0.78 (define @t5 () (@list @t2 @t1)) % 0.43/0.78 (define @t6 () (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.43/0.78 (define @t7 () (tptp.greater @t2 @t1)) % 0.43/0.78 (define @t8 () (tptp.greater @t1 @t2)) % 0.43/0.78 (define @t9 () (forall @t5 (= @t4 @t8))) % 0.43/0.78 (define @t10 () (forall @t5 (not (and @t7 @t8)))) % 0.43/0.78 (define @t11 () (@var "Z" $$unsorted)) % 0.43/0.78 (define @t12 () (tptp.greater @t2 @t11)) % 0.43/0.78 (define @t13 () (tptp.greater @t1 @t11)) % 0.43/0.78 (define @t14 () (and @t7 @t13)) % 0.43/0.78 (define @t15 () (forall (@list @t2 @t1 @t11) (=> @t14 @t12))) % 0.43/0.78 (define @t16 () (forall @t5 (or @t4 @t3 @t7))) % 0.43/0.78 (define @t17 () (@var "T" $$unsorted)) % 0.43/0.78 (define @t18 () (tptp.has_immunity @t2 @t17)) % 0.43/0.78 (define @t19 () (not @t18)) % 0.43/0.78 (define @t20 () (tptp.age @t2 @t17)) % 0.43/0.78 (define @t21 () (tptp.organization @t2)) % 0.43/0.78 (define @t22 () (@list @t17)) % 0.43/0.78 (define @t23 () (tptp.has_endowment @t2)) % 0.43/0.78 (define @t24 () (@list @t2)) % 0.43/0.78 (define @t25 () (not @t23)) % 0.43/0.78 (define @t26 () (and @t21 @t25)) % 0.43/0.78 (define @t27 () (@list @t2 @t17)) % 0.43/0.78 (define @t28 () (forall @t27 (=> @t26 @t19))) % 0.43/0.78 (define @t29 () (tptp.is_aligned @t2 @t17)) % 0.43/0.78 (define @t30 () (@var "T0" $$unsorted)) % 0.43/0.78 (define @t31 () (tptp.is_aligned @t2 @t30)) % 0.43/0.78 (define @t32 () (and @t21 (not (= @t31 @t29)))) % 0.43/0.78 (define @t33 () (tptp.dissimilar @t2 @t30 @t17)) % 0.43/0.78 (define @t34 () (= @t33 @t32)) % 0.43/0.78 (define @t35 () (@list @t2 @t30 @t17)) % 0.43/0.78 (define @t36 () (forall @t35 @t34)) % 0.43/0.78 (define @t37 () (= @t20 tptp.zero)) % 0.43/0.78 (define @t38 () (and @t21 @t37)) % 0.43/0.78 (define @t39 () (forall @t27 (=> @t38 @t29))) % 0.43/0.78 (define @t40 () (tptp.greater @t20 tptp.sigma)) % 0.43/0.78 (define @t41 () (tptp.age @t2 @t30)) % 0.43/0.78 (define @t42 () (= @t41 tptp.zero)) % 0.43/0.78 (define @t43 () (and @t21 @t42)) % 0.43/0.78 (define @t44 () (=> @t43 (= @t40 @t33))) % 0.43/0.78 (define @t45 () (forall @t35 @t44)) % 0.43/0.78 (define @t46 () (tptp.positional_advantage @t2 @t17)) % 0.43/0.78 (define @t47 () (tptp.greater @t20 tptp.tau)) % 0.43/0.78 (define @t48 () (not @t46)) % 0.43/0.78 (define @t49 () (tptp.smaller_or_equal @t20 tptp.tau)) % 0.43/0.78 (define @t50 () (and (=> @t49 @t48) (=> @t47 @t46))) % 0.43/0.78 (define @t51 () (forall @t22 @t50)) % 0.43/0.78 (define @t52 () (tptp.robust_position @t2)) % 0.43/0.78 (define @t53 () (= @t52 @t51)) % 0.43/0.78 (define @t54 () (forall @t24 @t53)) % 0.43/0.78 (define @t55 () (tptp.hazard_of_mortality @t2 @t17)) % 0.43/0.78 (define @t56 () (not @t29)) % 0.43/0.78 (define @t57 () (and @t56 @t48)) % 0.43/0.78 (define @t58 () (=> @t57 (= @t55 tptp.high))) % 0.43/0.78 (define @t59 () (and @t29 @t48)) % 0.43/0.78 (define @t60 () (=> @t59 (= @t55 tptp.mod2))) % 0.43/0.78 (define @t61 () (and @t56 @t46)) % 0.43/0.78 (define @t62 () (=> @t61 (= @t55 tptp.mod1))) % 0.43/0.78 (define @t63 () (and @t29 @t46)) % 0.43/0.78 (define @t64 () (=> @t63 (= @t55 tptp.low))) % 0.43/0.78 (define @t65 () (and @t64 @t62 @t60 @t58)) % 0.43/0.78 (define @t66 () (=> @t19 @t65)) % 0.43/0.78 (define @t67 () (=> @t18 (= @t55 tptp.very_low))) % 0.43/0.78 (define @t68 () (and @t67 @t66)) % 0.43/0.78 (define @t69 () (=> @t21 @t68)) % 0.43/0.78 (define @t70 () (forall @t27 @t69)) % 0.43/0.78 (define @t71 () (tptp.greater tptp.high tptp.mod2)) % 0.43/0.78 (define @t72 () (tptp.greater tptp.mod2 tptp.low)) % 0.43/0.78 (define @t73 () (tptp.greater tptp.mod2 tptp.mod1)) % 0.43/0.78 (define @t74 () (@var "T1" $$unsorted)) % 0.43/0.78 (define @t75 () (tptp.hazard_of_mortality @t2 @t74)) % 0.43/0.78 (define @t76 () (@var "T2" $$unsorted)) % 0.43/0.78 (define @t77 () (@var "T3" $$unsorted)) % 0.43/0.78 (define @t78 () (and (tptp.smaller (tptp.hazard_of_mortality @t2 @t77) @t75) (tptp.smaller @t75 (tptp.hazard_of_mortality @t2 @t76)) (= @t75 (tptp.hazard_of_mortality @t2 @t30)))) % 0.43/0.78 (define @t79 () (tptp.greater (tptp.age @t2 @t77) tptp.tau)) % 0.43/0.78 (define @t80 () (tptp.age @t2 @t76)) % 0.43/0.78 (define @t81 () (tptp.smaller_or_equal @t80 tptp.tau)) % 0.43/0.78 (define @t82 () (tptp.greater @t80 tptp.sigma)) % 0.43/0.78 (define @t83 () (tptp.smaller_or_equal (tptp.age @t2 @t74) tptp.sigma)) % 0.43/0.78 (define @t84 () (tptp.smaller tptp.sigma tptp.tau)) % 0.43/0.78 (define @t85 () (tptp.greater tptp.tau tptp.zero)) % 0.43/0.78 (define @t86 () (tptp.greater tptp.sigma tptp.zero)) % 0.43/0.78 (define @t87 () (and @t21 @t52 @t25 @t42 @t86 @t85 @t84 @t83 @t82 @t81 @t79)) % 0.43/0.78 (define @t88 () (=> @t87 @t78)) % 0.43/0.78 (define @t89 () (@list @t2 @t30 @t74 @t76 @t77)) % 0.43/0.78 (define @t90 () (forall @t89 @t88)) % 0.43/0.78 (define @t91 () (not @t90)) % 0.43/0.78 (define @t92 () (= tptp.high @t55)) % 0.43/0.78 (define @t93 () (not @t48)) % 0.43/0.78 (define @t94 () (not @t56)) % 0.43/0.78 (define @t95 () (= tptp.mod2 @t55)) % 0.43/0.78 (define @t96 () (= tptp.mod1 @t55)) % 0.43/0.78 (define @t97 () (= tptp.low @t55)) % 0.43/0.78 (define @t98 () (and (=> @t63 @t97) (=> @t61 @t96) (=> @t59 @t95) (=> @t57 @t92))) % 0.43/0.78 (define @t99 () (= tptp.very_low @t55)) % 0.43/0.78 (define @t100 () (and (=> @t18 @t99) (=> @t19 @t98))) % 0.43/0.78 (define @t101 () (not @t21)) % 0.43/0.78 (define @t102 () (not @t79)) % 0.43/0.78 (define @t103 () (not @t81)) % 0.43/0.78 (define @t104 () (not @t82)) % 0.43/0.78 (define @t105 () (not @t83)) % 0.43/0.78 (define @t106 () (= tptp.zero @t41)) % 0.43/0.78 (define @t107 () (not @t106)) % 0.43/0.78 (define @t108 () (not @t52)) % 0.43/0.78 (define @t109 () (or @t101 @t108 @t23 @t107 @t105 @t104 @t103 @t102 @t78)) % 0.43/0.78 (define @t110 () (forall @t89 @t109)) % 0.43/0.78 (define @t111 () (@quantifiers_skolemize @t110 2)) % 0.43/0.78 (define @t112 () (@quantifiers_skolemize @t110 0)) % 0.43/0.78 (define @t113 () (@list @t112 @t111)) % 0.43/0.78 (define @t114 () (not @t84)) % 0.43/0.78 (define @t115 () (not @t85)) % 0.43/0.78 (define @t116 () (not @t86)) % 0.43/0.78 (define @t117 () (or @t116 @t115 @t114 @t109)) % 0.43/0.78 (define @t118 () (or @t101 @t108 @t23 @t107 @t116 @t115 @t114 @t105 @t104 @t103 @t102 @t78)) % 0.43/0.78 (define @t119 () (not @t25)) % 0.43/0.78 (define @t120 () (or @t101 @t108 @t119 @t107 @t116 @t115 @t114 @t105 @t104 @t103 @t102)) % 0.43/0.78 (define @t121 () (and @t21 @t52 @t25 @t106 @t86 @t85 @t84 @t83 @t82 @t81 @t79)) % 0.43/0.78 (define @t122 () (tptp.organization @t112)) % 0.43/0.78 (define @t123 () (@quantifiers_skolemize @t110 1)) % 0.43/0.78 (define @t124 () (tptp.hazard_of_mortality @t112 @t123)) % 0.43/0.78 (define @t125 () (tptp.hazard_of_mortality @t112 @t111)) % 0.43/0.78 (define @t126 () (= @t125 @t124)) % 0.43/0.78 (define @t127 () (@quantifiers_skolemize @t110 3)) % 0.43/0.78 (define @t128 () (tptp.hazard_of_mortality @t112 @t127)) % 0.43/0.78 (define @t129 () (tptp.smaller @t125 @t128)) % 0.43/0.78 (define @t130 () (@quantifiers_skolemize @t110 4)) % 0.43/0.78 (define @t131 () (tptp.hazard_of_mortality @t112 @t130)) % 0.43/0.78 (define @t132 () (tptp.smaller @t131 @t125)) % 0.43/0.78 (define @t133 () (and @t132 @t129 @t126)) % 0.43/0.78 (define @t134 () (tptp.greater (tptp.age @t112 @t130) tptp.tau)) % 0.43/0.78 (define @t135 () (not @t134)) % 0.43/0.78 (define @t136 () (tptp.age @t112 @t127)) % 0.43/0.78 (define @t137 () (tptp.smaller_or_equal @t136 tptp.tau)) % 0.43/0.78 (define @t138 () (not @t137)) % 0.43/0.78 (define @t139 () (tptp.greater @t136 tptp.sigma)) % 0.43/0.78 (define @t140 () (not @t139)) % 0.43/0.78 (define @t141 () (tptp.age @t112 @t111)) % 0.43/0.78 (define @t142 () (tptp.smaller_or_equal @t141 tptp.sigma)) % 0.43/0.78 (define @t143 () (not @t142)) % 0.43/0.78 (define @t144 () (tptp.age @t112 @t123)) % 0.43/0.78 (define @t145 () (= tptp.zero @t144)) % 0.43/0.78 (define @t146 () (not @t145)) % 0.43/0.78 (define @t147 () (tptp.has_endowment @t112)) % 0.43/0.78 (define @t148 () (tptp.robust_position @t112)) % 0.43/0.78 (define @t149 () (not @t148)) % 0.43/0.78 (define @t150 () (not @t122)) % 0.43/0.78 (define @t151 () (or @t150 @t149 @t147 @t146 @t143 @t140 @t138 @t135 @t133)) % 0.43/0.78 (define @t152 () (@list true)) % 0.43/0.78 (define @t153 () (@list @t151)) % 0.43/0.78 (define @t154 () (tptp.positional_advantage @t112 @t111)) % 0.43/0.78 (define @t155 () (tptp.is_aligned @t112 @t111)) % 0.43/0.78 (define @t156 () (= tptp.mod2 @t125)) % 0.43/0.78 (define @t157 () (not @t155)) % 0.43/0.78 (define @t158 () (or @t157 @t154 @t156)) % 0.43/0.78 (define @t159 () (not @t154)) % 0.43/0.78 (define @t160 () (and (or @t157 @t159 (= tptp.low @t125)) (or @t155 @t159 (= tptp.mod1 @t125)) @t158 (or @t155 @t154 (= tptp.high @t125)))) % 0.43/0.78 (define @t161 () (tptp.has_immunity @t112 @t111)) % 0.43/0.78 (define @t162 () (or @t161 @t160)) % 0.43/0.78 (define @t163 () (not @t161)) % 0.43/0.78 (define @t164 () (and (or @t163 (= tptp.very_low @t125)) @t162)) % 0.43/0.78 (define @t165 () (or @t150 @t164)) % 0.43/0.78 (define @t166 () (@list false false)) % 0.43/0.78 (define @t167 () (@list false)) % 0.43/0.78 (define @t168 () (or @t150 @t147 @t163)) % 0.43/0.78 (define @t169 () (@list false true false)) % 0.43/0.78 (define @t170 () (@list true false)) % 0.43/0.78 (define @t171 () (or (not @t47) @t46)) % 0.43/0.78 (define @t172 () (forall @t22 @t171)) % 0.43/0.78 (define @t173 () (@list @t17)) % 0.43/0.78 (define @t174 () (@var "BOUND_VARIABLE_7657" $$unsorted)) % 0.43/0.78 (define @t175 () (or (not @t49) @t48)) % 0.43/0.78 (define @t176 () (forall @t22 @t175)) % 0.43/0.78 (define @t177 () (@var "BOUND_VARIABLE_7647" $$unsorted)) % 0.43/0.78 (define @t178 () (and @t176 @t172)) % 0.43/0.78 (define @t179 () (forall (@list @t174) (or (not (tptp.greater (tptp.age @t112 @t174) tptp.tau)) (tptp.positional_advantage @t112 @t174)))) % 0.43/0.78 (define @t180 () (forall (@list @t177) (or (not (tptp.smaller_or_equal (tptp.age @t112 @t177) tptp.tau)) (not (tptp.positional_advantage @t112 @t177))))) % 0.43/0.78 (define @t181 () (and @t180 @t179)) % 0.43/0.78 (define @t182 () (= @t148 @t181)) % 0.43/0.78 (define @t183 () (not @t181)) % 0.43/0.78 (define @t184 () (@list @t181)) % 0.43/0.78 (define @t185 () (tptp.smaller @t141 tptp.tau)) % 0.43/0.78 (define @t186 () (= @t141 tptp.tau)) % 0.43/0.78 (define @t187 () (or @t185 @t186)) % 0.43/0.78 (define @t188 () (tptp.smaller_or_equal @t141 tptp.tau)) % 0.43/0.78 (define @t189 () (= @t188 @t187)) % 0.43/0.78 (define @t190 () (@list @t141 tptp.tau)) % 0.43/0.78 (define @t191 () (= tptp.tau @t141)) % 0.43/0.78 (define @t192 () (or @t185 @t191)) % 0.43/0.78 (define @t193 () (= @t188 @t192)) % 0.43/0.78 (define @t194 () (@list @t6)) % 0.43/0.78 (define @t195 () (not @t13)) % 0.43/0.78 (define @t196 () (not @t7)) % 0.43/0.78 (define @t197 () (@list tptp.sigma @t141)) % 0.43/0.78 (define @t198 () (tptp.greater @t141 tptp.sigma)) % 0.43/0.78 (define @t199 () (not @t198)) % 0.43/0.78 (define @t200 () (tptp.greater tptp.sigma @t141)) % 0.43/0.78 (define @t201 () (not @t200)) % 0.43/0.78 (define @t202 () (or @t201 @t199)) % 0.43/0.78 (define @t203 () (tptp.smaller tptp.sigma @t141)) % 0.43/0.78 (define @t204 () (= @t203 @t198)) % 0.43/0.78 (define @t205 () (= @t198 @t203)) % 0.43/0.78 (define @t206 () (@list @t9)) % 0.43/0.78 (define @t207 () (@list @t141 tptp.sigma)) % 0.43/0.78 (define @t208 () (tptp.smaller @t141 tptp.sigma)) % 0.43/0.78 (define @t209 () (= @t208 @t200)) % 0.43/0.78 (define @t210 () (not @t208)) % 0.43/0.78 (define @t211 () (or @t208 (= @t141 tptp.sigma))) % 0.43/0.78 (define @t212 () (= @t142 @t211)) % 0.43/0.78 (define @t213 () (= tptp.sigma @t141)) % 0.43/0.78 (define @t214 () (or @t208 @t213)) % 0.43/0.78 (define @t215 () (= @t142 @t214)) % 0.43/0.78 (define @t216 () (not @t203)) % 0.43/0.78 (define @t217 () (not @t213)) % 0.43/0.78 (define @t218 () (= false true)) % 0.43/0.78 (define @t219 () (and @t203 @t213 @t210)) % 0.43/0.78 (define @t220 () (tptp.greater tptp.tau tptp.sigma)) % 0.43/0.78 (define @t221 () (= @t84 @t220)) % 0.43/0.78 (define @t222 () (not @t220)) % 0.43/0.78 (define @t223 () (tptp.greater @t141 tptp.tau)) % 0.43/0.78 (define @t224 () (not @t223)) % 0.43/0.78 (define @t225 () (or @t224 @t222 @t198)) % 0.43/0.78 (define @t226 () (or @t185 @t186 @t223)) % 0.43/0.78 (define @t227 () (or @t185 @t191 @t223)) % 0.43/0.78 (define @t228 () (not @t188)) % 0.43/0.78 (define @t229 () (or @t228 @t159)) % 0.43/0.78 (define @t230 () (not @t31)) % 0.43/0.78 (define @t231 () (and @t21 (= @t230 @t29))) % 0.43/0.78 (define @t232 () (= @t33 @t231)) % 0.43/0.78 (define @t233 () (@list @t112 @t123 @t111)) % 0.43/0.78 (define @t234 () (= @t33 @t40)) % 0.43/0.78 (define @t235 () (or @t101 @t107 @t234)) % 0.43/0.78 (define @t236 () (and @t21 @t106)) % 0.43/0.78 (define @t237 () (tptp.dissimilar @t112 @t123 @t111)) % 0.43/0.78 (define @t238 () (or @t150 @t146 (= @t237 @t198))) % 0.43/0.78 (define @t239 () (forall @t35 @t235)) % 0.43/0.78 (define @t240 () (= @t198 @t237)) % 0.43/0.78 (define @t241 () (or @t150 @t146 @t240)) % 0.43/0.78 (define @t242 () (@list @t239)) % 0.43/0.78 (define @t243 () (@list false false false)) % 0.43/0.78 (define @t244 () (not @t237)) % 0.43/0.78 (define @t245 () (tptp.is_aligned @t112 @t123)) % 0.43/0.78 (define @t246 () (not @t245)) % 0.43/0.78 (define @t247 () (= @t155 @t246)) % 0.43/0.78 (define @t248 () (and @t122 @t247)) % 0.43/0.78 (define @t249 () (= @t237 @t248)) % 0.43/0.78 (define @t250 () (not @t248)) % 0.43/0.78 (define @t251 () (not @t247)) % 0.43/0.78 (define @t252 () (@list false true)) % 0.43/0.78 (define @t253 () (not @t37)) % 0.43/0.78 (define @t254 () (or @t101 @t253 @t29)) % 0.43/0.78 (define @t255 () (not (= @t144 tptp.zero))) % 0.43/0.78 (define @t256 () (or @t150 @t255 @t245)) % 0.43/0.78 (define @t257 () (forall @t27 @t254)) % 0.43/0.78 (define @t258 () (@list @t112 @t123)) % 0.43/0.78 (define @t259 () (or @t150 @t146 @t245)) % 0.43/0.78 (define @t260 () (tptp.positional_advantage @t112 @t123)) % 0.43/0.78 (define @t261 () (= tptp.mod2 @t124)) % 0.43/0.78 (define @t262 () (or @t246 @t260 @t261)) % 0.43/0.78 (define @t263 () (not @t260)) % 0.43/0.78 (define @t264 () (and (or @t246 @t263 (= tptp.low @t124)) (or @t245 @t263 (= tptp.mod1 @t124)) @t262 (or @t245 @t260 (= tptp.high @t124)))) % 0.43/0.78 (define @t265 () (tptp.has_immunity @t112 @t123)) % 0.43/0.78 (define @t266 () (or @t265 @t264)) % 0.43/0.78 (define @t267 () (not @t265)) % 0.43/0.78 (define @t268 () (and (or @t267 (= tptp.very_low @t124)) @t266)) % 0.43/0.78 (define @t269 () (or @t150 @t268)) % 0.43/0.78 (define @t270 () (or @t150 @t147 @t267)) % 0.43/0.78 (define @t271 () (@list tptp.zero tptp.tau)) % 0.43/0.78 (define @t272 () (tptp.smaller tptp.zero tptp.tau)) % 0.43/0.78 (define @t273 () (= @t272 @t85)) % 0.43/0.78 (define @t274 () (= @t85 @t272)) % 0.43/0.78 (define @t275 () (or @t272 (= tptp.zero tptp.tau))) % 0.43/0.78 (define @t276 () (tptp.smaller_or_equal tptp.zero tptp.tau)) % 0.43/0.78 (define @t277 () (= @t276 @t275)) % 0.43/0.78 (define @t278 () (tptp.smaller_or_equal @t144 tptp.tau)) % 0.43/0.78 (define @t279 () (not @t278)) % 0.43/0.78 (define @t280 () (or @t279 @t263)) % 0.43/0.78 (define @t281 () (and @t261 @t156)) % 0.43/0.78 (define @t282 () (not @t156)) % 0.43/0.78 (define @t283 () (@list @t112 @t127)) % 0.43/0.78 (define @t284 () (= tptp.high @t128)) % 0.43/0.78 (define @t285 () (tptp.positional_advantage @t112 @t127)) % 0.43/0.78 (define @t286 () (tptp.is_aligned @t112 @t127)) % 0.43/0.78 (define @t287 () (or @t286 @t285 @t284)) % 0.43/0.78 (define @t288 () (not @t286)) % 0.43/0.78 (define @t289 () (not @t285)) % 0.43/0.78 (define @t290 () (and (or @t288 @t289 (= tptp.low @t128)) (or @t286 @t289 (= tptp.mod1 @t128)) (or @t288 @t285 (= tptp.mod2 @t128)) @t287)) % 0.43/0.78 (define @t291 () (tptp.has_immunity @t112 @t127)) % 0.43/0.78 (define @t292 () (or @t291 @t290)) % 0.43/0.78 (define @t293 () (not @t291)) % 0.43/0.78 (define @t294 () (and (or @t293 (= tptp.very_low @t128)) @t292)) % 0.43/0.78 (define @t295 () (or @t150 @t294)) % 0.43/0.78 (define @t296 () (or @t150 @t147 @t293)) % 0.43/0.78 (define @t297 () (or @t138 @t289)) % 0.43/0.78 (define @t298 () (@list @t112 @t123 @t127)) % 0.43/0.78 (define @t299 () (tptp.dissimilar @t112 @t123 @t127)) % 0.43/0.78 (define @t300 () (or @t150 @t146 (= @t299 @t139))) % 0.43/0.78 (define @t301 () (= @t139 @t299)) % 0.43/0.78 (define @t302 () (or @t150 @t146 @t301)) % 0.43/0.78 (define @t303 () (= @t286 @t246)) % 0.43/0.78 (define @t304 () (and @t122 @t303)) % 0.43/0.78 (define @t305 () (= @t299 @t304)) % 0.43/0.78 (define @t306 () (tptp.smaller tptp.mod2 tptp.high)) % 0.43/0.78 (define @t307 () (= @t306 @t71)) % 0.43/0.78 (define @t308 () (= @t71 @t306)) % 0.43/0.78 (define @t309 () (and @t306 @t156 @t284)) % 0.43/0.78 (define @t310 () (@list true false false)) % 0.43/0.78 (define @t311 () (tptp.greater @t125 @t131)) % 0.43/0.78 (define @t312 () (= @t132 @t311)) % 0.43/0.78 (define @t313 () (not @t311)) % 0.43/0.78 (define @t314 () (@list @t112 @t130)) % 0.43/0.78 (define @t315 () (tptp.positional_advantage @t112 @t130)) % 0.43/0.78 (define @t316 () (tptp.is_aligned @t112 @t130)) % 0.43/0.78 (define @t317 () (not @t316)) % 0.43/0.78 (define @t318 () (= tptp.mod1 @t131)) % 0.43/0.78 (define @t319 () (not @t315)) % 0.43/0.78 (define @t320 () (or @t316 @t319 @t318)) % 0.43/0.78 (define @t321 () (= tptp.low @t131)) % 0.43/0.78 (define @t322 () (or @t317 @t319 @t321)) % 0.43/0.78 (define @t323 () (and @t322 @t320 (or @t317 @t315 (= tptp.mod2 @t131)) (or @t316 @t315 (= tptp.high @t131)))) % 0.43/0.78 (define @t324 () (tptp.has_immunity @t112 @t130)) % 0.43/0.78 (define @t325 () (or @t324 @t323)) % 0.43/0.78 (define @t326 () (not @t324)) % 0.43/0.78 (define @t327 () (and (or @t326 (= tptp.very_low @t131)) @t325)) % 0.43/0.78 (define @t328 () (or @t150 @t327)) % 0.43/0.78 (define @t329 () (or @t150 @t147 @t326)) % 0.43/0.78 (define @t330 () (not @t323)) % 0.43/0.78 (define @t331 () (@list @t323)) % 0.43/0.78 (define @t332 () (or @t135 @t315)) % 0.43/0.78 (define @t333 () (tptp.smaller tptp.low tptp.mod2)) % 0.43/0.78 (define @t334 () (= @t333 @t72)) % 0.43/0.78 (define @t335 () (= @t72 @t333)) % 0.43/0.78 (define @t336 () (and @t333 @t156 @t321)) % 0.43/0.78 (define @t337 () (not @t321)) % 0.43/0.78 (define @t338 () (not @t318)) % 0.43/0.78 (define @t339 () (not @t73)) % 0.43/0.78 (assume @p1 @t6) % 0.43/0.78 (assume @p2 (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t7 @t3)))) % 0.43/0.78 (assume @p3 @t9) % 0.43/0.78 (assume @p4 @t10) % 0.43/0.78 (assume @p5 @t15) % 0.43/0.78 (assume @p6 @t16) % 0.43/0.78 (assume @p7 (forall @t24 (= @t23 (forall @t22 (and @t21 (=> (tptp.smaller_or_equal @t20 tptp.eta) @t18) (=> (tptp.greater @t20 tptp.eta) @t19)))))) % 0.43/0.78 (assume @p8 @t28) % 0.43/0.78 (assume @p9 @t36) % 0.43/0.78 (assume @p10 @t39) % 0.43/0.78 (assume @p11 @t45) % 0.43/0.78 (assume @p12 @t54) % 0.43/0.78 (assume @p13 @t70) % 0.43/0.78 (assume @p14 (tptp.greater tptp.high tptp.mod1)) % 0.43/0.78 (assume @p15 (tptp.greater tptp.mod1 tptp.low)) % 0.43/0.78 (assume @p16 (tptp.greater tptp.low tptp.very_low)) % 0.43/0.78 (assume @p17 @t71) % 0.43/0.78 (assume @p18 @t72) % 0.43/0.78 (assume @p19 @t73) % 0.43/0.78 (assume @p20 @t91) % 0.43/0.78 (assume @p21 true) % 0.43/0.78 (step @p22 :rule aci_norm :args ((= (or (or @t29 @t46) @t92) (or @t29 @t46 @t92)))) % 0.43/0.78 (step @p23 :rule refl :args (@t92)) % 0.43/0.78 (step @p24 :rule bool-double-not-elim :args (@t46)) % 0.43/0.78 (step @p25 :rule bool-double-not-elim :args (@t29)) % 0.43/0.78 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t94 @t93))) % 0.43/0.78 (step @p27 :rule bool-and-de-morgan :args (@t56 @t48 true)) % 0.43/0.78 (step @p28 :rule trans :premises (@p27 @p26)) % 0.43/0.78 (step @p29 :rule nary_cong :premises (@p28 @p23) :args ((or (not @t57) @t92))) % 0.43/0.78 (step @p30 :rule trans :premises (@p29 @p22)) % 0.43/0.78 (step @p31 :rule bool-impl-elim :args (@t57 @t92)) % 0.43/0.78 (step @p32 :rule trans :premises (@p31 @p30)) % 0.43/0.78 (step @p33 :rule aci_norm :args ((= (or (or @t56 @t46) @t95) (or @t56 @t46 @t95)))) % 0.43/0.78 (step @p34 :rule refl :args (@t95)) % 0.43/0.78 (step @p35 :rule refl :args (@t56)) % 0.43/0.78 (step @p36 :rule nary_cong :premises (@p35 @p24) :args ((or @t56 @t93))) % 0.43/0.78 (step @p37 :rule bool-and-de-morgan :args (@t29 @t48 true)) % 0.43/0.78 (step @p38 :rule trans :premises (@p37 @p36)) % 0.43/0.78 (step @p39 :rule nary_cong :premises (@p38 @p34) :args ((or (not @t59) @t95))) % 0.43/0.78 (step @p40 :rule trans :premises (@p39 @p33)) % 0.43/0.78 (step @p41 :rule bool-impl-elim :args (@t59 @t95)) % 0.43/0.78 (step @p42 :rule trans :premises (@p41 @p40)) % 0.43/0.78 (step @p43 :rule aci_norm :args ((= (or (or @t29 @t48) @t96) (or @t29 @t48 @t96)))) % 0.43/0.78 (step @p44 :rule refl :args (@t96)) % 0.43/0.78 (step @p45 :rule refl :args (@t48)) % 0.43/0.78 (step @p46 :rule nary_cong :premises (@p25 @p45) :args ((or @t94 @t48))) % 0.43/0.78 (step @p47 :rule bool-and-de-morgan :args (@t56 @t46 true)) % 0.43/0.78 (step @p48 :rule trans :premises (@p47 @p46)) % 0.43/0.78 (step @p49 :rule nary_cong :premises (@p48 @p44) :args ((or (not @t61) @t96))) % 0.43/0.78 (step @p50 :rule trans :premises (@p49 @p43)) % 0.43/0.78 (step @p51 :rule bool-impl-elim :args (@t61 @t96)) % 0.43/0.78 (step @p52 :rule trans :premises (@p51 @p50)) % 0.43/0.78 (step @p53 :rule aci_norm :args ((= (or (or @t56 @t48) @t97) (or @t56 @t48 @t97)))) % 0.43/0.78 (step @p54 :rule refl :args (@t97)) % 0.43/0.78 (step @p55 :rule bool-and-de-morgan :args (@t29 @t46 true)) % 0.43/0.78 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or (not @t63) @t97))) % 0.43/0.78 (step @p57 :rule trans :premises (@p56 @p53)) % 0.43/0.78 (step @p58 :rule bool-impl-elim :args (@t63 @t97)) % 0.43/0.78 (step @p59 :rule trans :premises (@p58 @p57)) % 0.43/0.78 (step @p60 :rule nary_cong :premises (@p59 @p52 @p42 @p32) :args (@t98)) % 0.43/0.78 (step @p61 :rule refl :args (@t18)) % 0.43/0.78 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t18 @t98))) % 0.43/0.78 (step @p63 :rule refl :args (@t98)) % 0.43/0.78 (step @p64 :rule bool-double-not-elim :args (@t18)) % 0.43/0.78 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or (not @t19) @t98))) % 0.43/0.78 (step @p66 :rule bool-impl-elim :args (@t19 @t98)) % 0.43/0.78 (step @p67 :rule trans :premises (@p66 @p65)) % 0.43/0.78 (step @p68 :rule trans :premises (@p67 @p62)) % 0.43/0.78 (step @p69 :rule bool-impl-elim :args (@t18 @t99)) % 0.43/0.78 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t100)) % 0.43/0.78 (step @p71 :rule refl :args (@t101)) % 0.43/0.78 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t101 @t100))) % 0.43/0.78 (step @p73 :rule bool-impl-elim :args (@t21 @t100)) % 0.43/0.78 (step @p74 :rule trans :premises (@p73 @p72)) % 0.43/0.78 (step @p75 :rule cong :premises (@p74) :args ((forall @t27 (=> @t21 @t100)))) % 0.43/0.78 (step @p76 :rule eq-symm :args (@t55 tptp.high)) % 0.43/0.78 (step @p77 :rule refl :args (@t57)) % 0.43/0.78 (step @p78 :rule cong :premises (@p77 @p76) :args (@t58)) % 0.43/0.78 (step @p79 :rule eq-symm :args (@t55 tptp.mod2)) % 0.43/0.78 (step @p80 :rule refl :args (@t59)) % 0.43/0.78 (step @p81 :rule cong :premises (@p80 @p79) :args (@t60)) % 0.43/0.78 (step @p82 :rule eq-symm :args (@t55 tptp.mod1)) % 0.43/0.78 (step @p83 :rule refl :args (@t61)) % 0.43/0.78 (step @p84 :rule cong :premises (@p83 @p82) :args (@t62)) % 0.43/0.78 (step @p85 :rule eq-symm :args (@t55 tptp.low)) % 0.43/0.78 (step @p86 :rule refl :args (@t63)) % 0.43/0.78 (step @p87 :rule cong :premises (@p86 @p85) :args (@t64)) % 0.43/0.78 (step @p88 :rule nary_cong :premises (@p87 @p84 @p81 @p78) :args (@t65)) % 0.43/0.78 (step @p89 :rule refl :args (@t19)) % 0.43/0.78 (step @p90 :rule cong :premises (@p89 @p88) :args (@t66)) % 0.43/0.78 (step @p91 :rule eq-symm :args (@t55 tptp.very_low)) % 0.43/0.78 (step @p92 :rule refl :args (@t18)) % 0.43/0.78 (step @p93 :rule cong :premises (@p92 @p91) :args (@t67)) % 0.43/0.78 (step @p94 :rule nary_cong :premises (@p93 @p90) :args (@t68)) % 0.43/0.78 (step @p95 :rule refl :args (@t21)) % 0.43/0.78 (step @p96 :rule cong :premises (@p95 @p94) :args (@t69)) % 0.43/0.78 (step @p97 :rule cong :premises (@p96) :args (@t70)) % 0.43/0.78 (step @p98 :rule trans :premises (@p97 @p75)) % 0.43/0.78 (step @p99 :rule eq_resolve :premises (@p13 @p98)) % 0.43/0.78 (step @p100 :rule instantiate :premises (@p99) :args (@t113)) % 0.43/0.78 (step @p101 :rule quant-miniscope-or :args ((= (forall @t89 @t117) (or @t116 @t115 @t114 @t110)))) % 0.43/0.78 (step @p102 :rule aci_norm :args ((= @t118 @t117))) % 0.43/0.78 (step @p103 :rule cong :premises (@p102) :args ((forall @t89 @t118))) % 0.43/0.78 (step @p104 :rule trans :premises (@p103 @p101)) % 0.43/0.78 (step @p105 :rule aci_norm :args ((= (or (or @t101 @t108 @t23 @t107 @t116 @t115 @t114 @t105 @t104 @t103 @t102) @t78) @t118))) % 0.43/0.78 (step @p106 :rule refl :args (@t78)) % 0.43/0.78 (step @p107 :rule refl :args (@t102)) % 0.43/0.78 (step @p108 :rule refl :args (@t103)) % 0.43/0.78 (step @p109 :rule refl :args (@t104)) % 0.43/0.78 (step @p110 :rule refl :args (@t105)) % 0.43/0.78 (step @p111 :rule refl :args (@t114)) % 0.43/0.78 (step @p112 :rule refl :args (@t115)) % 0.43/0.78 (step @p113 :rule refl :args (@t116)) % 0.43/0.78 (step @p114 :rule refl :args (@t107)) % 0.43/0.78 (step @p115 :rule bool-double-not-elim :args (@t23)) % 0.43/0.78 (step @p116 :rule refl :args (@t108)) % 0.43/0.78 (step @p117 :rule nary_cong :premises (@p71 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107) :args (@t120)) % 0.43/0.78 (step @p118 :rule aci_norm :args ((= (or @t101 (or @t108 (or @t119 (or @t107 (or @t116 (or @t115 (or @t114 (or @t105 (or @t104 (or @t103 @t102)))))))))) @t120))) % 0.43/0.78 (step @p119 :rule trans :premises (@p118 @p117)) % 0.43/0.78 (step @p120 :rule bool-and-de-morgan :args (@t81 @t79 true)) % 0.43/0.78 (step @p121 :rule nary_cong :premises (@p109 @p120) :args ((or @t104 (not (and @t81 @t79))))) % 0.43/0.78 (step @p122 :rule bool-and-de-morgan :args (@t82 @t81 (and @t79))) % 0.43/0.78 (step @p123 :rule trans :premises (@p122 @p121)) % 0.43/0.78 (step @p124 :rule nary_cong :premises (@p110 @p123) :args ((or @t105 (not (and @t82 @t81 @t79))))) % 0.43/0.78 (step @p125 :rule bool-and-de-morgan :args (@t83 @t82 (and 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