%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT061+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 : n003.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 06:04:54 AM UTC 2026 % Result : Theorem 0.31s 0.58s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT061+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 % 0.09/0.36 % Computer : n003.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Mon Sep 7 13:36:54 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.58 % SZS status Theorem % 0.31/0.58 % SZS output start Proof % 0.31/0.58 ( % 0.31/0.58 (declare-sort $$unsorted 0) % 0.31/0.58 (declare-const tptp.very_low $$unsorted) % 0.31/0.58 (declare-const tptp.high $$unsorted) % 0.31/0.58 (declare-const tptp.fragile_position (-> $$unsorted Bool)) % 0.31/0.58 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.31/0.58 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.31/0.58 (declare-const tptp.mod2 $$unsorted) % 0.31/0.58 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.31/0.58 (declare-const tptp.has_immunity (-> $$unsorted $$unsorted Bool)) % 0.31/0.58 (declare-const tptp.is_aligned (-> $$unsorted $$unsorted Bool)) % 0.31/0.58 (declare-const tptp.hazard_of_mortality (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.58 (declare-const tptp.age (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.58 (declare-const tptp.mod1 $$unsorted) % 0.31/0.58 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.31/0.58 (declare-const tptp.has_endowment (-> $$unsorted Bool)) % 0.31/0.58 (declare-const tptp.positional_advantage (-> $$unsorted $$unsorted Bool)) % 0.31/0.58 (declare-const tptp.dissimilar (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.58 (declare-const tptp.low $$unsorted) % 0.31/0.58 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.31/0.58 (declare-const tptp.zero $$unsorted) % 0.31/0.58 (declare-const tptp.sigma $$unsorted) % 0.31/0.58 (define @t1 () (@var "Y" $$unsorted)) % 0.31/0.58 (define @t2 () (@var "X" $$unsorted)) % 0.31/0.58 (define @t3 () (= @t2 @t1)) % 0.31/0.58 (define @t4 () (tptp.smaller @t2 @t1)) % 0.31/0.58 (define @t5 () (@list @t2 @t1)) % 0.31/0.58 (define @t6 () (tptp.greater @t2 @t1)) % 0.31/0.58 (define @t7 () (tptp.greater @t1 @t2)) % 0.31/0.58 (define @t8 () (forall @t5 (= @t4 @t7))) % 0.31/0.58 (define @t9 () (@var "Z" $$unsorted)) % 0.31/0.58 (define @t10 () (tptp.greater @t2 @t9)) % 0.31/0.58 (define @t11 () (tptp.greater @t1 @t9)) % 0.31/0.58 (define @t12 () (and @t6 @t11)) % 0.31/0.58 (define @t13 () (forall (@list @t2 @t1 @t9) (=> @t12 @t10))) % 0.31/0.58 (define @t14 () (@var "T" $$unsorted)) % 0.31/0.58 (define @t15 () (tptp.has_immunity @t2 @t14)) % 0.31/0.58 (define @t16 () (not @t15)) % 0.31/0.58 (define @t17 () (tptp.has_endowment @t2)) % 0.31/0.58 (define @t18 () (not @t17)) % 0.31/0.58 (define @t19 () (tptp.organization @t2)) % 0.31/0.58 (define @t20 () (and @t19 @t18)) % 0.31/0.58 (define @t21 () (@list @t2 @t14)) % 0.31/0.58 (define @t22 () (forall @t21 (=> @t20 @t16))) % 0.31/0.58 (define @t23 () (tptp.is_aligned @t2 @t14)) % 0.31/0.58 (define @t24 () (@var "T0" $$unsorted)) % 0.31/0.58 (define @t25 () (tptp.is_aligned @t2 @t24)) % 0.31/0.58 (define @t26 () (and @t19 (not (= @t25 @t23)))) % 0.31/0.58 (define @t27 () (tptp.dissimilar @t2 @t24 @t14)) % 0.31/0.58 (define @t28 () (= @t27 @t26)) % 0.31/0.58 (define @t29 () (@list @t2 @t24 @t14)) % 0.31/0.58 (define @t30 () (forall @t29 @t28)) % 0.31/0.58 (define @t31 () (tptp.age @t2 @t14)) % 0.31/0.58 (define @t32 () (and @t19 (= @t31 tptp.zero))) % 0.31/0.58 (define @t33 () (=> @t32 @t23)) % 0.31/0.58 (define @t34 () (forall @t21 @t33)) % 0.31/0.58 (define @t35 () (tptp.greater @t31 tptp.sigma)) % 0.31/0.58 (define @t36 () (tptp.age @t2 @t24)) % 0.31/0.58 (define @t37 () (= @t36 tptp.zero)) % 0.31/0.58 (define @t38 () (and @t19 @t37)) % 0.31/0.58 (define @t39 () (=> @t38 (= @t35 @t27))) % 0.31/0.58 (define @t40 () (forall @t29 @t39)) % 0.31/0.58 (define @t41 () (tptp.positional_advantage @t2 @t14)) % 0.31/0.58 (define @t42 () (not @t41)) % 0.31/0.58 (define @t43 () (tptp.smaller_or_equal @t31 tptp.sigma)) % 0.31/0.58 (define @t44 () (and (=> @t43 @t41) (=> @t35 @t42))) % 0.31/0.58 (define @t45 () (@list @t14)) % 0.31/0.58 (define @t46 () (forall @t45 @t44)) % 0.31/0.58 (define @t47 () (tptp.fragile_position @t2)) % 0.31/0.58 (define @t48 () (= @t47 @t46)) % 0.31/0.58 (define @t49 () (forall (@list @t2) @t48)) % 0.31/0.58 (define @t50 () (tptp.hazard_of_mortality @t2 @t14)) % 0.31/0.58 (define @t51 () (not @t23)) % 0.31/0.58 (define @t52 () (and @t51 @t42)) % 0.31/0.58 (define @t53 () (=> @t52 (= @t50 tptp.high))) % 0.31/0.58 (define @t54 () (and @t23 @t42)) % 0.31/0.58 (define @t55 () (=> @t54 (= @t50 tptp.mod2))) % 0.31/0.58 (define @t56 () (and @t51 @t41)) % 0.31/0.58 (define @t57 () (=> @t56 (= @t50 tptp.mod1))) % 0.31/0.58 (define @t58 () (and @t23 @t41)) % 0.31/0.58 (define @t59 () (=> @t58 (= @t50 tptp.low))) % 0.31/0.58 (define @t60 () (and @t59 @t57 @t55 @t53)) % 0.31/0.58 (define @t61 () (=> @t16 @t60)) % 0.31/0.58 (define @t62 () (=> @t15 (= @t50 tptp.very_low))) % 0.31/0.58 (define @t63 () (and @t62 @t61)) % 0.31/0.58 (define @t64 () (=> @t19 @t63)) % 0.31/0.58 (define @t65 () (forall @t21 @t64)) % 0.31/0.58 (define @t66 () (tptp.greater tptp.high tptp.mod1)) % 0.31/0.58 (define @t67 () (tptp.greater tptp.mod1 tptp.low)) % 0.31/0.58 (define @t68 () (@var "T1" $$unsorted)) % 0.31/0.58 (define @t69 () (tptp.hazard_of_mortality @t2 @t68)) % 0.31/0.58 (define @t70 () (@var "T2" $$unsorted)) % 0.31/0.58 (define @t71 () (and (tptp.greater (tptp.hazard_of_mortality @t2 @t70) @t69) (= @t69 (tptp.hazard_of_mortality @t2 @t24)))) % 0.31/0.58 (define @t72 () (tptp.greater (tptp.age @t2 @t70) tptp.sigma)) % 0.31/0.58 (define @t73 () (tptp.smaller_or_equal (tptp.age @t2 @t68) tptp.sigma)) % 0.31/0.58 (define @t74 () (tptp.greater tptp.sigma tptp.zero)) % 0.31/0.58 (define @t75 () (and @t19 @t47 @t18 @t37 @t74 @t73 @t72)) % 0.31/0.58 (define @t76 () (=> @t75 @t71)) % 0.31/0.58 (define @t77 () (@list @t2 @t24 @t68 @t70)) % 0.31/0.58 (define @t78 () (forall @t77 @t76)) % 0.31/0.58 (define @t79 () (not @t78)) % 0.31/0.58 (define @t80 () (not @t72)) % 0.31/0.58 (define @t81 () (not @t73)) % 0.31/0.58 (define @t82 () (= tptp.zero @t36)) % 0.31/0.58 (define @t83 () (not @t82)) % 0.31/0.58 (define @t84 () (not @t47)) % 0.31/0.58 (define @t85 () (not @t19)) % 0.31/0.58 (define @t86 () (or @t85 @t84 @t17 @t83 @t81 @t80 @t71)) % 0.31/0.58 (define @t87 () (forall @t77 @t86)) % 0.31/0.58 (define @t88 () (not @t74)) % 0.31/0.58 (define @t89 () (or @t88 @t86)) % 0.31/0.58 (define @t90 () (or @t85 @t84 @t17 @t83 @t88 @t81 @t80 @t71)) % 0.31/0.58 (define @t91 () (not @t18)) % 0.31/0.58 (define @t92 () (or @t85 @t84 @t91 @t83 @t88 @t81 @t80)) % 0.31/0.58 (define @t93 () (and @t19 @t47 @t18 @t82 @t74 @t73 @t72)) % 0.31/0.58 (define @t94 () (@quantifiers_skolemize @t87 1)) % 0.31/0.58 (define @t95 () (@quantifiers_skolemize @t87 0)) % 0.31/0.58 (define @t96 () (tptp.hazard_of_mortality @t95 @t94)) % 0.31/0.58 (define @t97 () (@quantifiers_skolemize @t87 2)) % 0.31/0.58 (define @t98 () (tptp.hazard_of_mortality @t95 @t97)) % 0.31/0.58 (define @t99 () (= @t98 @t96)) % 0.31/0.58 (define @t100 () (@quantifiers_skolemize @t87 3)) % 0.31/0.58 (define @t101 () (tptp.hazard_of_mortality @t95 @t100)) % 0.31/0.58 (define @t102 () (tptp.greater @t101 @t98)) % 0.31/0.58 (define @t103 () (and @t102 @t99)) % 0.31/0.58 (define @t104 () (tptp.greater (tptp.age @t95 @t100) tptp.sigma)) % 0.31/0.58 (define @t105 () (not @t104)) % 0.31/0.58 (define @t106 () (tptp.age @t95 @t97)) % 0.31/0.58 (define @t107 () (tptp.smaller_or_equal @t106 tptp.sigma)) % 0.31/0.58 (define @t108 () (not @t107)) % 0.31/0.58 (define @t109 () (tptp.age @t95 @t94)) % 0.31/0.58 (define @t110 () (= tptp.zero @t109)) % 0.31/0.58 (define @t111 () (not @t110)) % 0.31/0.58 (define @t112 () (tptp.has_endowment @t95)) % 0.31/0.58 (define @t113 () (tptp.fragile_position @t95)) % 0.31/0.58 (define @t114 () (not @t113)) % 0.31/0.58 (define @t115 () (tptp.organization @t95)) % 0.31/0.58 (define @t116 () (not @t115)) % 0.31/0.58 (define @t117 () (or @t116 @t114 @t112 @t111 @t108 @t105 @t103)) % 0.31/0.58 (define @t118 () (@list true)) % 0.31/0.58 (define @t119 () (@list @t117)) % 0.31/0.58 (define @t120 () (= tptp.high @t50)) % 0.31/0.58 (define @t121 () (not @t42)) % 0.31/0.58 (define @t122 () (not @t51)) % 0.31/0.58 (define @t123 () (= tptp.mod2 @t50)) % 0.31/0.58 (define @t124 () (= tptp.mod1 @t50)) % 0.31/0.58 (define @t125 () (= tptp.low @t50)) % 0.31/0.58 (define @t126 () (and (=> @t58 @t125) (=> @t56 @t124) (=> @t54 @t123) (=> @t52 @t120))) % 0.31/0.58 (define @t127 () (= tptp.very_low @t50)) % 0.31/0.58 (define @t128 () (and (=> @t15 @t127) (=> @t16 @t126))) % 0.31/0.58 (define @t129 () (@list @t95 @t94)) % 0.31/0.58 (define @t130 () (tptp.positional_advantage @t95 @t94)) % 0.31/0.58 (define @t131 () (tptp.is_aligned @t95 @t94)) % 0.31/0.58 (define @t132 () (not @t131)) % 0.31/0.58 (define @t133 () (not @t130)) % 0.31/0.58 (define @t134 () (= tptp.low @t96)) % 0.31/0.58 (define @t135 () (or @t132 @t133 @t134)) % 0.31/0.58 (define @t136 () (and @t135 (or @t131 @t133 (= tptp.mod1 @t96)) (or @t132 @t130 (= tptp.mod2 @t96)) (or @t131 @t130 (= tptp.high @t96)))) % 0.31/0.58 (define @t137 () (tptp.has_immunity @t95 @t94)) % 0.31/0.58 (define @t138 () (or @t137 @t136)) % 0.31/0.58 (define @t139 () (not @t137)) % 0.31/0.58 (define @t140 () (and (or @t139 (= tptp.very_low @t96)) @t138)) % 0.31/0.58 (define @t141 () (or @t116 @t140)) % 0.31/0.58 (define @t142 () (@list false false)) % 0.31/0.58 (define @t143 () (@list false)) % 0.31/0.58 (define @t144 () (or @t116 @t112 @t139)) % 0.31/0.58 (define @t145 () (@list false true false)) % 0.31/0.58 (define @t146 () (@list true false)) % 0.31/0.58 (define @t147 () (or (not @t35) @t42)) % 0.31/0.58 (define @t148 () (forall @t45 @t147)) % 0.31/0.58 (define @t149 () (@list @t14)) % 0.31/0.58 (define @t150 () (@var "BOUND_VARIABLE_7611" $$unsorted)) % 0.31/0.58 (define @t151 () (or (not @t43) @t41)) % 0.31/0.58 (define @t152 () (forall @t45 @t151)) % 0.31/0.58 (define @t153 () (@var "BOUND_VARIABLE_7602" $$unsorted)) % 0.31/0.58 (define @t154 () (and @t152 @t148)) % 0.31/0.58 (define @t155 () (forall (@list @t150) (or (not (tptp.greater (tptp.age @t95 @t150) tptp.sigma)) (not (tptp.positional_advantage @t95 @t150))))) % 0.31/0.58 (define @t156 () (forall (@list @t153) (or (not (tptp.smaller_or_equal (tptp.age @t95 @t153) tptp.sigma)) (tptp.positional_advantage @t95 @t153)))) % 0.31/0.58 (define @t157 () (and @t156 @t155)) % 0.31/0.58 (define @t158 () (= @t113 @t157)) % 0.31/0.58 (define @t159 () (not @t157)) % 0.31/0.58 (define @t160 () (@list @t157)) % 0.31/0.58 (define @t161 () (@list tptp.zero tptp.sigma)) % 0.31/0.58 (define @t162 () (tptp.smaller tptp.zero tptp.sigma)) % 0.31/0.58 (define @t163 () (= @t162 @t74)) % 0.31/0.58 (define @t164 () (= @t74 @t162)) % 0.31/0.58 (define @t165 () (or @t162 (= tptp.zero tptp.sigma))) % 0.31/0.58 (define @t166 () (tptp.smaller_or_equal tptp.zero tptp.sigma)) % 0.31/0.58 (define @t167 () (= @t166 @t165)) % 0.31/0.58 (define @t168 () (tptp.smaller_or_equal @t109 tptp.sigma)) % 0.31/0.58 (define @t169 () (not @t168)) % 0.31/0.58 (define @t170 () (or @t169 @t130)) % 0.31/0.58 (define @t171 () (= tptp.zero @t31)) % 0.31/0.58 (define @t172 () (not @t171)) % 0.31/0.58 (define @t173 () (and @t19 @t171)) % 0.31/0.58 (define @t174 () (or @t116 @t111 @t131)) % 0.31/0.58 (define @t175 () (@list false false false)) % 0.31/0.58 (define @t176 () (@list @t95 @t97)) % 0.31/0.58 (define @t177 () (tptp.positional_advantage @t95 @t97)) % 0.31/0.58 (define @t178 () (tptp.is_aligned @t95 @t97)) % 0.31/0.58 (define @t179 () (not @t178)) % 0.31/0.58 (define @t180 () (not @t177)) % 0.31/0.58 (define @t181 () (= tptp.low @t98)) % 0.31/0.58 (define @t182 () (or @t179 @t180 @t181)) % 0.31/0.58 (define @t183 () (and @t182 (or @t178 @t180 (= tptp.mod1 @t98)) (or @t179 @t177 (= tptp.mod2 @t98)) (or @t178 @t177 (= tptp.high @t98)))) % 0.31/0.58 (define @t184 () (tptp.has_immunity @t95 @t97)) % 0.31/0.58 (define @t185 () (or @t184 @t183)) % 0.31/0.58 (define @t186 () (not @t184)) % 0.31/0.58 (define @t187 () (and (or @t186 (= tptp.very_low @t98)) @t185)) % 0.31/0.58 (define @t188 () (or @t116 @t187)) % 0.31/0.58 (define @t189 () (or @t116 @t112 @t186)) % 0.31/0.58 (define @t190 () (@list @t97)) % 0.31/0.58 (define @t191 () (or @t108 @t177)) % 0.31/0.58 (define @t192 () (not @t25)) % 0.31/0.58 (define @t193 () (and @t19 (= @t192 @t23))) % 0.31/0.58 (define @t194 () (= @t27 @t193)) % 0.31/0.58 (define @t195 () (@list @t95 @t94 @t97)) % 0.31/0.58 (define @t196 () (= @t27 @t35)) % 0.31/0.58 (define @t197 () (or @t85 @t83 @t196)) % 0.31/0.58 (define @t198 () (and @t19 @t82)) % 0.31/0.58 (define @t199 () (tptp.dissimilar @t95 @t94 @t97)) % 0.31/0.58 (define @t200 () (tptp.greater @t106 tptp.sigma)) % 0.31/0.58 (define @t201 () (or @t116 @t111 (= @t199 @t200))) % 0.31/0.58 (define @t202 () (forall @t29 @t197)) % 0.31/0.58 (define @t203 () (= @t200 @t199)) % 0.31/0.58 (define @t204 () (or @t116 @t111 @t203)) % 0.31/0.58 (define @t205 () (@list @t202)) % 0.31/0.58 (define @t206 () (not @t200)) % 0.31/0.58 (define @t207 () (or @t206 @t180)) % 0.31/0.58 (define @t208 () (not @t199)) % 0.31/0.58 (define @t209 () (= @t178 @t132)) % 0.31/0.58 (define @t210 () (and @t115 @t209)) % 0.31/0.58 (define @t211 () (= @t199 @t210)) % 0.31/0.58 (define @t212 () (not @t210)) % 0.31/0.58 (define @t213 () (not @t209)) % 0.31/0.58 (define @t214 () (@list false true)) % 0.31/0.58 (define @t215 () (not @t11)) % 0.31/0.58 (define @t216 () (not @t6)) % 0.31/0.58 (define @t217 () (tptp.greater tptp.high tptp.low)) % 0.31/0.58 (define @t218 () (not @t67)) % 0.31/0.58 (define @t219 () (not @t66)) % 0.31/0.58 (define @t220 () (or @t219 @t218 @t217)) % 0.31/0.58 (define @t221 () (@list @t95 @t100)) % 0.31/0.58 (define @t222 () (= tptp.high @t101)) % 0.31/0.58 (define @t223 () (tptp.positional_advantage @t95 @t100)) % 0.31/0.58 (define @t224 () (tptp.is_aligned @t95 @t100)) % 0.31/0.58 (define @t225 () (or @t224 @t223 @t222)) % 0.31/0.58 (define @t226 () (not @t224)) % 0.31/0.58 (define @t227 () (not @t223)) % 0.31/0.58 (define @t228 () (and (or @t226 @t227 (= tptp.low @t101)) (or @t224 @t227 (= tptp.mod1 @t101)) (or @t226 @t223 (= tptp.mod2 @t101)) @t225)) % 0.31/0.58 (define @t229 () (tptp.has_immunity @t95 @t100)) % 0.31/0.58 (define @t230 () (or @t229 @t228)) % 0.31/0.58 (define @t231 () (not @t229)) % 0.31/0.58 (define @t232 () (and (or @t231 (= tptp.very_low @t101)) @t230)) % 0.31/0.58 (define @t233 () (or @t116 @t232)) % 0.31/0.58 (define @t234 () (or @t116 @t112 @t231)) % 0.31/0.58 (define @t235 () (or @t105 @t227)) % 0.31/0.58 (define @t236 () (@list @t95 @t94 @t100)) % 0.31/0.58 (define @t237 () (tptp.dissimilar @t95 @t94 @t100)) % 0.31/0.58 (define @t238 () (or @t116 @t111 (= @t237 @t104))) % 0.31/0.58 (define @t239 () (= @t104 @t237)) % 0.31/0.58 (define @t240 () (or @t116 @t111 @t239)) % 0.31/0.58 (define @t241 () (= @t224 @t132)) % 0.31/0.58 (define @t242 () (and @t115 @t241)) % 0.31/0.58 (define @t243 () (= @t237 @t242)) % 0.31/0.58 (assume @p1 (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.31/0.58 (assume @p2 (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t6 @t3)))) % 0.31/0.58 (assume @p3 @t8) % 0.31/0.58 (assume @p4 (forall @t5 (not (and @t6 @t7)))) % 0.31/0.58 (assume @p5 @t13) % 0.31/0.58 (assume @p6 (forall @t5 (or @t4 @t3 @t6))) % 0.31/0.58 (assume @p7 @t22) % 0.31/0.58 (assume @p8 @t30) % 0.31/0.58 (assume @p9 @t34) % 0.31/0.58 (assume @p10 @t40) % 0.31/0.58 (assume @p11 @t49) % 0.31/0.58 (assume @p12 @t65) % 0.31/0.58 (assume @p13 @t66) % 0.31/0.58 (assume @p14 @t67) % 0.31/0.58 (assume @p15 (tptp.greater tptp.low tptp.very_low)) % 0.31/0.58 (assume @p16 (tptp.greater tptp.high tptp.mod2)) % 0.31/0.58 (assume @p17 (tptp.greater tptp.mod2 tptp.low)) % 0.31/0.58 (assume @p18 @t79) % 0.31/0.58 (assume @p19 true) % 0.31/0.58 (step @p20 :rule quant-miniscope-or :args ((= (forall @t77 @t89) (or @t88 @t87)))) % 0.31/0.58 (step @p21 :rule aci_norm :args ((= @t90 @t89))) % 0.31/0.58 (step @p22 :rule cong :premises (@p21) :args ((forall @t77 @t90))) % 0.31/0.58 (step @p23 :rule trans :premises (@p22 @p20)) % 0.31/0.58 (step @p24 :rule aci_norm :args ((= (or (or @t85 @t84 @t17 @t83 @t88 @t81 @t80) @t71) @t90))) % 0.31/0.58 (step @p25 :rule refl :args (@t71)) % 0.31/0.58 (step @p26 :rule refl :args (@t80)) % 0.31/0.58 (step @p27 :rule refl :args (@t81)) % 0.31/0.58 (step @p28 :rule refl :args (@t88)) % 0.31/0.58 (step @p29 :rule refl :args (@t83)) % 0.31/0.58 (step @p30 :rule bool-double-not-elim :args (@t17)) % 0.31/0.58 (step @p31 :rule refl :args (@t84)) % 0.31/0.58 (step @p32 :rule refl :args (@t85)) % 0.31/0.58 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30 @p29 @p28 @p27 @p26) :args (@t92)) % 0.31/0.58 (step @p34 :rule aci_norm :args ((= (or @t85 (or @t84 (or @t91 (or @t83 (or @t88 (or @t81 @t80)))))) @t92))) % 0.31/0.58 (step @p35 :rule trans :premises (@p34 @p33)) % 0.31/0.58 (step @p36 :rule bool-and-de-morgan :args (@t73 @t72 true)) % 0.31/0.58 (step @p37 :rule nary_cong :premises (@p28 @p36) :args ((or @t88 (not (and @t73 @t72))))) % 0.31/0.58 (step @p38 :rule bool-and-de-morgan :args (@t74 @t73 (and @t72))) % 0.31/0.58 (step @p39 :rule trans :premises (@p38 @p37)) % 0.31/0.58 (step @p40 :rule nary_cong :premises (@p29 @p39) :args ((or @t83 (not (and @t74 @t73 @t72))))) % 0.31/0.58 (step @p41 :rule bool-and-de-morgan :args (@t82 @t74 (and @t73 @t72))) % 0.31/0.58 (step @p42 :rule trans :premises (@p41 @p40)) % 0.31/0.58 (step @p43 :rule refl :args (@t91)) % 0.31/0.58 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t91 (not (and @t82 @t74 @t73 @t72))))) % 0.31/0.58 (step @p45 :rule bool-and-de-morgan :args (@t18 @t82 (and @t74 @t73 @t72))) % 0.31/0.58 (step @p46 :rule trans :premises (@p45 @p44)) % 0.31/0.58 (step @p47 :rule nary_cong :premises (@p31 @p46) :args ((or @t84 (not (and @t18 @t82 @t74 @t73 @t72))))) % 0.31/0.58 (step @p48 :rule bool-and-de-morgan :args (@t47 @t18 (and @t82 @t74 @t73 @t72))) % 0.31/0.58 (step @p49 :rule trans :premises (@p48 @p47)) % 0.31/0.58 (step @p50 :rule nary_cong :premises (@p32 @p49) :args ((or @t85 (not (and @t47 @t18 @t82 @t74 @t73 @t72))))) % 0.31/0.58 (step @p51 :rule bool-and-de-morgan :args (@t19 @t47 (and @t18 @t82 @t74 @t73 @t72))) % 0.31/0.58 (step @p52 :rule trans :premises (@p51 @p50)) % 0.31/0.58 (step @p53 :rule trans :premises (@p52 @p35)) % 0.31/0.58 (step @p54 :rule nary_cong :premises (@p53 @p25) :args ((or (not @t93) @t71))) % 0.31/0.58 (step @p55 :rule trans :premises (@p54 @p24)) % 0.31/0.58 (step @p56 :rule bool-impl-elim :args (@t93 @t71)) % 0.31/0.58 (step @p57 :rule trans :premises (@p56 @p55)) % 0.31/0.58 (step @p58 :rule cong :premises (@p57) :args ((forall @t77 (=> @t93 @t71)))) % 0.31/0.58 (step @p59 :rule trans :premises (@p58 @p23)) % 0.31/0.58 (step @p60 :rule refl :args (@t71)) % 0.31/0.58 (step @p61 :rule refl :args (@t72)) % 0.31/0.58 (step @p62 :rule refl :args (@t73)) % 0.31/0.58 (step @p63 :rule refl :args (@t74)) % 0.31/0.58 (step @p64 :rule eq-symm :args (@t36 tptp.zero)) % 0.31/0.58 (step @p65 :rule refl :args (@t18)) % 0.31/0.58 (step @p66 :rule refl :args (@t47)) % 0.31/0.58 (step @p67 :rule refl :args (@t19)) % 0.31/0.58 (step @p68 :rule nary_cong :premises (@p67 @p66 @p65 @p64 @p63 @p62 @p61) :args (@t75)) % 0.31/0.58 (step @p69 :rule cong :premises (@p68 @p60) :args (@t76)) % 0.31/0.58 (step @p70 :rule cong :premises (@p69) :args (@t78)) % 0.31/0.58 (step @p71 :rule trans :premises (@p70 @p59)) % 0.31/0.58 (step @p72 :rule cong :premises (@p71) :args (@t79)) % 0.31/0.58 (step @p73 :rule eq_resolve :premises (@p18 @p72)) % 0.31/0.58 (step @p74 :rule not_or_elim :premises (@p73) :args (1)) % 0.31/0.58 (step @p75 :rule skolemize :premises (@p74)) % 0.31/0.58 (step @p76 :rule cnf_or_neg :args (@t117 6)) % 0.31/0.58 (step @p77 :rule chain_m_resolution :premises (@p76 @p75) :args ((not @t103) @t118 @t119)) % 0.31/0.58 (step @p78 :rule aci_norm :args ((= (or (or @t23 @t41) @t120) (or @t23 @t41 @t120)))) % 0.31/0.58 (step @p79 :rule refl :args (@t120)) % 0.31/0.58 (step @p80 :rule bool-double-not-elim :args (@t41)) % 0.31/0.58 (step @p81 :rule bool-double-not-elim :args (@t23)) % 0.31/0.58 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t122 @t121))) % 0.31/0.58 (step @p83 :rule bool-and-de-morgan :args (@t51 @t42 true)) % 0.31/0.58 (step @p84 :rule trans :premises (@p83 @p82)) % 0.31/0.58 (step @p85 :rule nary_cong :premises (@p84 @p79) :args ((or (not @t52) @t120))) % 0.31/0.58 (step @p86 :rule trans :premises (@p85 @p78)) % 0.31/0.58 (step @p87 :rule bool-impl-elim :args (@t52 @t120)) % 0.31/0.58 (step @p88 :rule trans :premises (@p87 @p86)) % 0.31/0.58 (step @p89 :rule aci_norm :args ((= (or (or @t51 @t41) @t123) (or @t51 @t41 @t123)))) % 0.31/0.58 (step @p90 :rule refl :args (@t123)) % 0.31/0.58 (step @p91 :rule refl :args (@t51)) % 0.31/0.58 (step @p92 :rule nary_cong :premises (@p91 @p80) :args ((or @t51 @t121))) % 0.31/0.58 (step @p93 :rule bool-and-de-morgan :args (@t23 @t42 true)) % 0.31/0.58 (step @p94 :rule trans :premises (@p93 @p92)) % 0.31/0.58 (step @p95 :rule nary_cong :premises (@p94 @p90) :args ((or (not @t54) @t123))) % 0.31/0.58 (step @p96 :rule trans :premises (@p95 @p89)) % 0.31/0.58 (step @p97 :rule bool-impl-elim :args (@t54 @t123)) % 0.31/0.58 (step @p98 :rule trans :premises (@p97 @p96)) % 0.31/0.58 (step @p99 :rule aci_norm :args ((= (or (or @t23 @t42) @t124) (or @t23 @t42 @t124)))) % 0.31/0.58 (step @p100 :rule refl :args (@t124)) % 0.31/0.58 (step @p101 :rule refl :args (@t42)) % 0.31/0.58 (step @p102 :rule nary_cong :premises (@p81 @p101) :args ((or @t122 @t42))) % 0.31/0.58 (step @p103 :rule bool-and-de-morgan :args (@t51 @t41 true)) % 0.31/0.58 (step @p104 :rule trans :premises (@p103 @p102)) % 0.31/0.58 (step @p105 :rule nary_cong :premises (@p104 @p100) :args ((or (not @t56) @t124))) % 0.31/0.58 (step @p106 :rule trans :premises (@p105 @p99)) % 0.31/0.58 (step @p107 :rule bool-impl-elim :args (@t56 @t124)) % 0.31/0.58 (step @p108 :rule trans :premises (@p107 @p106)) % 0.31/0.58 (step @p109 :rule aci_norm :args ((= (or (or @t51 @t42) @t125) (or @t51 @t42 @t125)))) % 0.31/0.58 (step @p110 :rule refl :args (@t125)) % 0.31/0.58 (step @p111 :rule bool-and-de-morgan :args (@t23 @t41 true)) % 0.31/0.58 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or (not @t58) @t125))) % 0.31/0.58 (step @p113 :rule trans :premises (@p112 @p109)) % 0.31/0.58 (step @p114 :rule bool-impl-elim :args (@t58 @t125)) % 0.31/0.58 (step @p115 :rule trans :premises (@p114 @p113)) % 0.31/0.58 (step @p116 :rule nary_cong :premises (@p115 @p108 @p98 @p88) :args (@t126)) % 0.31/0.58 (step @p117 :rule refl :args (@t15)) % 0.31/0.58 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or @t15 @t126))) % 0.31/0.58 (step @p119 :rule refl :args (@t126)) % 0.31/0.58 (step @p120 :rule bool-double-not-elim :args (@t15)) % 0.31/0.58 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or (not @t16) @t126))) % 0.31/0.58 (step @p122 :rule bool-impl-elim :args (@t16 @t126)) % 0.31/0.58 (step @p123 :rule trans :premises (@p122 @p121)) % 0.31/0.58 (step @p124 :rule trans :premises (@p123 @p118)) % 0.31/0.58 (step @p125 :rule bool-impl-elim :args (@t15 @t127)) % 0.31/0.58 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t128)) % 0.31/0.58 (step @p127 :rule nary_cong :premises (@p32 @p126) :args ((or @t85 @t128))) % 0.31/0.58 (step @p128 :rule bool-impl-elim :args (@t19 @t128)) % 0.31/0.58 (step @p129 :rule trans :premises (@p128 @p127)) % 0.31/0.58 (step @p130 :rule cong :premises (@p129) :args ((forall @t21 (=> @t19 @t128)))) % 0.31/0.58 (step @p131 :rule eq-symm :args (@t50 tptp.high)) % 0.31/0.58 (step @p132 :rule refl :args (@t52)) % 0.31/0.58 (step @p133 :rule cong :premises (@p132 @p131) :args (@t53)) % 0.31/0.58 (step @p134 :rule eq-symm :args (@t50 tptp.mod2)) % 0.31/0.58 (step @p135 :rule refl :args (@t54)) % 0.31/0.58 (step @p136 :rule cong :premises (@p135 @p134) :args (@t55)) % 0.31/0.58 (step @p137 :rule eq-symm :args (@t50 tptp.mod1)) % 0.31/0.58 (step @p138 :rule refl :args (@t56)) % 0.31/0.58 (step @p139 :rule cong :premises (@p138 @p137) :args (@t57)) % 0.31/0.58 (step @p140 :rule eq-symm :args (@t50 tptp.low)) % 0.31/0.58 (step @p141 :rule refl :args (@t58)) % 0.31/0.58 (step @p142 :rule cong :premises (@p141 @p140) :args (@t59)) % 0.31/0.58 (step @p143 :rule nary_cong :premises (@p142 @p139 @p136 @p133) :args (@t60)) % 0.31/0.58 (step @p144 :rule refl :args (@t16)) % 0.31/0.58 (step @p145 :rule cong :premises (@p144 @p143) :args (@t61)) % 0.31/0.58 (step @p146 :rule eq-symm :args (@t50 tptp.very_low)) % 0.31/0.58 (step @p147 :rule refl :args (@t15)) % 0.31/0.58 (step @p148 :rule cong :premises (@p147 @p146) :args (@t62)) % 0.31/0.58 (step @p149 :rule nary_cong :premises (@p148 @p145) :args (@t63)) % 0.31/0.58 (step @p150 :rule cong :premises (@p67 @p149) :args (@t64)) % 0.31/0.58 (step @p151 :rule cong :premises (@p150) :args (@t65)) % 0.31/0.58 (step @p152 :rule trans :premises (@p151 @p130)) % 0.31/0.58 (step @p153 :rule eq_resolve :premises (@p12 @p152)) % 0.31/0.58 (step @p154 :rule instantiate :premises (@p153) :args (@t129)) % 0.31/0.58 (step @p155 :rule bool-double-not-elim :args (@t115)) % 0.31/0.58 (step @p156 :rule refl :args (@t117)) % 0.31/0.58 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or @t117 (not @t116)))) % 0.31/0.58 (step @p158 :rule cnf_or_neg :args (@t117 0)) % 0.31/0.58 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 0.31/0.58 (step @p160 :rule reordering :premises (@p159) :args ((or @t115 @t117))) % 0.31/0.58 (step @p161 :rule chain_m_resolution :premises (@p160 @p75) :args (@t115 @t118 @t119)) % 0.31/0.58 (step @p162 :rule cnf_or_pos :args (@t141)) % 0.31/0.58 (step @p163 :rule reordering :premises (@p162) :args ((or @t116 @t140 (not @t141)))) % 0.31/0.58 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p154) :args (@t140 @t142 (@list @t115 @t141))) % 0.31/0.58 (step @p165 :rule cnf_and_pos :args (@t140 1)) % 0.31/0.58 (step @p166 :rule reordering :premises (@p165) :args ((or @t138 (not @t140)))) % 0.31/0.58 (step @p167 :rule chain_m_resolution :premises (@p166 @p164) :args (@t138 @t143 (@list @t140))) % 0.31/0.58 (step @p168 :rule aci_norm :args ((= (or (or @t85 @t17) @t16) (or @t85 @t17 @t16)))) % 0.31/0.58 (step @p169 :rule refl :args (@t16)) % 0.31/0.58 (step @p170 :rule nary_cong :premises (@p32 @p30) :args ((or @t85 @t91))) % 0.31/0.58 (step @p171 :rule bool-and-de-morgan :args (@t19 @t18 true)) % 0.31/0.58 (step @p172 :rule trans :premises (@p171 @p170)) % 0.31/0.58 (step @p173 :rule nary_cong :premises (@p172 @p169) :args ((or (not @t20) @t16))) % 0.31/0.58 (step @p174 :rule trans :premises (@p173 @p168)) % 0.31/0.58 (step @p175 :rule bool-impl-elim :args (@t20 @t16)) % 0.31/0.58 (step @p176 :rule trans :premises (@p175 @p174)) % 0.31/0.58 (step @p177 :rule cong :premises (@p176) :args (@t22)) % 0.31/0.58 (step @p178 :rule eq_resolve :premises (@p7 @p177)) % 0.31/0.58 (step @p179 :rule instantiate :premises (@p178) :args (@t129)) % 0.31/0.58 (step @p180 :rule cnf_or_neg :args (@t117 2)) % 0.31/0.58 (step @p181 :rule chain_m_resolution :premises (@p180 @p75) :args ((not @t112) @t118 @t119)) % 0.31/0.58 (step @p182 :rule cnf_or_pos :args (@t144)) % 0.31/0.58 (step @p183 :rule reordering :premises (@p182) :args ((or @t116 @t112 @t139 (not @t144)))) % 0.31/0.58 (step @p184 :rule chain_m_resolution :premises (@p183 @p161 @p181 @p179) :args (@t139 @t145 (@list @t115 @t112 @t144))) % 0.31/0.58 (step @p185 :rule cnf_or_pos :args (@t138)) % 0.31/0.58 (step @p186 :rule reordering :premises (@p185) :args ((or @t137 @t136 (not @t138)))) % 0.31/0.58 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p167) :args (@t136 @t146 (@list @t137 @t138))) % 0.31/0.58 (step @p188 :rule cnf_and_pos :args (@t136 0)) % 0.31/0.58 (step @p189 :rule reordering :premises (@p188) :args ((or @t135 (not @t136)))) % 0.31/0.58 (step @p190 :rule chain_m_resolution :premises (@p189 @p187) :args (@t135 @t143 (@list @t136))) % 0.31/0.58 (step @p191 :rule alpha_equiv :args (@t148 @t149 (@list @t150))) % 0.31/0.58 (step @p192 :rule alpha_equiv :args (@t152 @t149 (@list @t153))) % 0.31/0.58 (step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t154)) % 0.31/0.58 (step @p194 :rule quant-miniscope-and :args ((= (forall @t45 (and @t151 @t147)) @t154))) % 0.31/0.58 (step @p195 :rule trans :premises (@p194 @p193)) % 0.31/0.58 (step 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0.31/0.59 (step @p400 :rule cnf_and_pos :args (@t228 3)) % 0.31/0.59 (step @p401 :rule reordering :premises (@p400) :args ((or @t225 (not @t228)))) % 0.31/0.59 (step @p402 :rule chain_m_resolution :premises (@p401 @p399) :args (@t225 @t143 (@list @t228))) % 0.31/0.59 (step @p403 :rule instantiate :premises (@p350) :args ((@list @t100))) % 0.31/0.59 (step @p404 :rule bool-double-not-elim :args (@t104)) % 0.31/0.59 (step @p405 :rule nary_cong :premises (@p156 @p404) :args ((or @t117 (not @t105)))) % 0.31/0.59 (step @p406 :rule cnf_or_neg :args (@t117 5)) % 0.31/0.59 (step @p407 :rule eq_resolve :premises (@p406 @p405)) % 0.31/0.59 (step @p408 :rule reordering :premises (@p407) :args ((or @t104 @t117))) % 0.31/0.59 (step @p409 :rule chain_m_resolution :premises (@p408 @p75) :args (@t104 @t118 @t119)) % 0.31/0.59 (step @p410 :rule cnf_or_pos :args (@t235)) % 0.31/0.59 (step @p411 :rule reordering :premises (@p410) :args ((or @t105 @t227 (not @t235)))) % 0.31/0.59 (step @p412 :rule chain_m_resolution :premises (@p411 @p409 @p403) :args (@t227 @t142 (@list @t104 @t235))) % 0.31/0.59 (step @p413 :rule instantiate :premises (@p316) :args (@t236)) % 0.31/0.59 (step @p414 :rule eq-symm :args (@t237 @t104)) % 0.31/0.59 (step @p415 :rule nary_cong :premises (@p334 @p333 @p414) :args (@t238)) % 0.31/0.59 (step @p416 :rule cong :premises (@p336 @p415) :args ((=> @t202 @t238))) % 0.31/0.59 (assume-push @p452 @t202) % 0.31/0.59 (step @p418 :rule instantiate :premises (@p331) :args (@t236)) % 0.31/0.59 (step-pop @p453 :rule scope :premises (@p418)) % 0.31/0.59 (step @p419 :rule process_scope :premises (@p453) :args (@t238)) % 0.31/0.59 (step @p421 :rule eq_resolve :premises (@p419 @p416)) % 0.31/0.59 (step @p422 :rule implies_elim :premises (@p421)) % 0.31/0.59 (step @p423 :rule chain_m_resolution :premises (@p422 @p331) :args (@t240 @t143 @t205)) % 0.31/0.59 (step @p424 :rule cnf_or_pos :args (@t240)) % 0.31/0.59 (step @p425 :rule reordering :premises (@p424) :args ((or @t116 @t111 @t239 (not @t240)))) % 0.31/0.59 (step @p426 :rule chain_m_resolution :premises (@p425 @p161 @p247 @p423) :args (@t239 @t175 (@list @t115 @t110 @t240))) % 0.31/0.59 (step @p427 :rule cnf_equiv_pos1 :args (@t239)) % 0.31/0.59 (step @p428 :rule reordering :premises (@p427) :args ((or @t105 @t237 (not @t239)))) % 0.31/0.59 (step @p429 :rule chain_m_resolution :premises (@p428 @p409 @p426) :args (@t237 @t142 (@list @t104 @t239))) % 0.31/0.59 (step @p430 :rule cnf_equiv_pos1 :args (@t243)) % 0.31/0.59 (step @p431 :rule reordering :premises (@p430) :args ((or @t242 (not @t237) (not @t243)))) % 0.31/0.59 (step @p432 :rule chain_m_resolution :premises (@p431 @p429 @p413) :args (@t242 @t142 (@list @t237 @t243))) % 0.31/0.59 (step @p433 :rule cnf_and_pos :args (@t242 1)) % 0.31/0.59 (step @p434 :rule reordering :premises (@p433) :args ((or @t241 (not @t242)))) % 0.31/0.59 (step @p435 :rule chain_m_resolution :premises (@p434 @p432) :args (@t241 @t143 (@list @t242))) % 0.31/0.59 (step @p436 :rule cnf_equiv_pos1 :args (@t241)) % 0.31/0.59 (step @p437 :rule reordering :premises (@p436) :args ((or @t132 @t226 (not @t241)))) % 0.31/0.59 (step @p438 :rule chain_m_resolution :premises (@p437 @p273 @p435) :args (@t226 @t142 (@list @t131 @t241))) % 0.31/0.59 (step @p439 :rule cnf_or_pos :args (@t225)) % 0.31/0.59 (step @p440 :rule reordering :premises (@p439) :args ((or @t224 @t223 @t222 (not @t225)))) % 0.31/0.59 (step @p441 :rule chain_m_resolution :premises (@p440 @p438 @p412 @p402) :args (@t222 (@list true true false) (@list @t224 @t223 @t225))) % 0.31/0.59 (step @p442 :rule symm :premises (@p441)) % 0.31/0.59 (step @p443 :rule cong :premises (@p442 @p370) :args (@t102)) % 0.31/0.59 (step @p444 :rule trans :premises (@p443 @p385)) % 0.31/0.59 (step @p445 :rule true_elim :premises (@p444)) % 0.31/0.59 (step @p446 :rule cnf_and_neg :args (@t103)) % 0.31/0.59 (step @p447 false :rule chain_m_resolution :premises (@p446 @p445 @p371 @p77) :args (false (@list false false true) (@list @t102 @t99 @t103))) % 0.31/0.59 ) % 0.31/0.59 % SZS output end Proof % 0.31/0.59 % cvc5 exiting %------------------------------------------------------------------------------