%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT055+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 : n010.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 06:04:53 AM UTC 2026 % Result : Theorem 0.36s 0.63s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT055+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 % 0.11/0.37 % Computer : n010.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Mon Sep 7 13:26:26 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.63 % SZS status Theorem % 0.36/0.63 % SZS output start Proof % 0.36/0.63 ( % 0.36/0.63 (declare-sort $$unsorted 0) % 0.36/0.63 (declare-const tptp.capability (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.dissimilar (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.eta $$unsorted) % 0.36/0.63 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.sigma $$unsorted) % 0.36/0.63 (declare-const tptp.age (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.has_immunity (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.has_endowment (-> $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.hazard_of_mortality (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.is_aligned (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.zero $$unsorted) % 0.36/0.63 (define @t1 () (@var "Y" $$unsorted)) % 0.36/0.63 (define @t2 () (@var "X" $$unsorted)) % 0.36/0.63 (define @t3 () (= @t2 @t1)) % 0.36/0.63 (define @t4 () (tptp.smaller @t2 @t1)) % 0.36/0.63 (define @t5 () (@list @t2 @t1)) % 0.36/0.63 (define @t6 () (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.36/0.63 (define @t7 () (tptp.greater @t2 @t1)) % 0.36/0.63 (define @t8 () (tptp.greater @t1 @t2)) % 0.36/0.63 (define @t9 () (forall @t5 (= @t4 @t8))) % 0.36/0.63 (define @t10 () (forall @t5 (not (and @t7 @t8)))) % 0.36/0.63 (define @t11 () (@var "Z" $$unsorted)) % 0.36/0.63 (define @t12 () (tptp.greater @t2 @t11)) % 0.36/0.63 (define @t13 () (tptp.greater @t1 @t11)) % 0.36/0.63 (define @t14 () (and @t7 @t13)) % 0.36/0.63 (define @t15 () (forall (@list @t2 @t1 @t11) (=> @t14 @t12))) % 0.36/0.63 (define @t16 () (@var "T" $$unsorted)) % 0.36/0.63 (define @t17 () (tptp.has_immunity @t2 @t16)) % 0.36/0.63 (define @t18 () (not @t17)) % 0.36/0.63 (define @t19 () (tptp.age @t2 @t16)) % 0.36/0.63 (define @t20 () (tptp.greater @t19 tptp.eta)) % 0.36/0.63 (define @t21 () (tptp.smaller_or_equal @t19 tptp.eta)) % 0.36/0.63 (define @t22 () (tptp.organization @t2)) % 0.36/0.63 (define @t23 () (and @t22 (=> @t21 @t17) (=> @t20 @t18))) % 0.36/0.63 (define @t24 () (@list @t16)) % 0.36/0.63 (define @t25 () (forall @t24 @t23)) % 0.36/0.63 (define @t26 () (tptp.has_endowment @t2)) % 0.36/0.63 (define @t27 () (= @t26 @t25)) % 0.36/0.63 (define @t28 () (forall (@list @t2) @t27)) % 0.36/0.63 (define @t29 () (tptp.hazard_of_mortality @t2 @t16)) % 0.36/0.63 (define @t30 () (@var "T0" $$unsorted)) % 0.36/0.63 (define @t31 () (tptp.hazard_of_mortality @t2 @t30)) % 0.36/0.63 (define @t32 () (= @t31 @t29)) % 0.36/0.63 (define @t33 () (tptp.has_immunity @t2 @t30)) % 0.36/0.63 (define @t34 () (and @t22 @t33 @t17)) % 0.36/0.63 (define @t35 () (@list @t2 @t30 @t16)) % 0.36/0.63 (define @t36 () (forall @t35 (=> @t34 @t32))) % 0.36/0.63 (define @t37 () (tptp.greater @t29 @t31)) % 0.36/0.63 (define @t38 () (and @t22 @t33 @t18)) % 0.36/0.63 (define @t39 () (forall @t35 (=> @t38 @t37))) % 0.36/0.63 (define @t40 () (tptp.is_aligned @t2 @t16)) % 0.36/0.63 (define @t41 () (tptp.is_aligned @t2 @t30)) % 0.36/0.63 (define @t42 () (and @t22 (not (= @t41 @t40)))) % 0.36/0.63 (define @t43 () (tptp.dissimilar @t2 @t30 @t16)) % 0.36/0.63 (define @t44 () (= @t43 @t42)) % 0.36/0.63 (define @t45 () (forall @t35 @t44)) % 0.36/0.63 (define @t46 () (= @t19 tptp.zero)) % 0.36/0.63 (define @t47 () (and @t22 @t46)) % 0.36/0.63 (define @t48 () (@list @t2 @t16)) % 0.36/0.63 (define @t49 () (forall @t48 (=> @t47 @t40))) % 0.36/0.63 (define @t50 () (tptp.capability @t2 @t16)) % 0.36/0.63 (define @t51 () (tptp.capability @t2 @t30)) % 0.36/0.63 (define @t52 () (tptp.greater @t51 @t50)) % 0.36/0.63 (define @t53 () (not @t40)) % 0.36/0.63 (define @t54 () (and @t22 @t41 @t53)) % 0.36/0.63 (define @t55 () (forall @t35 (=> @t54 @t52))) % 0.36/0.63 (define @t56 () (tptp.greater @t19 tptp.sigma)) % 0.36/0.63 (define @t57 () (tptp.age @t2 @t30)) % 0.36/0.63 (define @t58 () (= @t57 tptp.zero)) % 0.36/0.63 (define @t59 () (and @t22 @t58)) % 0.36/0.63 (define @t60 () (=> @t59 (= @t56 @t43))) % 0.36/0.63 (define @t61 () (forall @t35 @t60)) % 0.36/0.63 (define @t62 () (tptp.greater @t31 @t29)) % 0.36/0.63 (define @t63 () (tptp.greater @t50 @t51)) % 0.36/0.63 (define @t64 () (not @t33)) % 0.36/0.63 (define @t65 () (and @t22 @t64 @t18 @t63)) % 0.36/0.63 (define @t66 () (forall @t35 (=> @t65 @t62))) % 0.36/0.63 (define @t67 () (@var "T1" $$unsorted)) % 0.36/0.63 (define @t68 () (tptp.hazard_of_mortality @t2 @t67)) % 0.36/0.63 (define @t69 () (@var "T2" $$unsorted)) % 0.36/0.63 (define @t70 () (tptp.hazard_of_mortality @t2 @t69)) % 0.36/0.63 (define @t71 () (tptp.greater @t70 @t68)) % 0.36/0.63 (define @t72 () (@var "T3" $$unsorted)) % 0.36/0.63 (define @t73 () (tptp.greater (tptp.hazard_of_mortality @t2 @t72) @t70)) % 0.36/0.63 (define @t74 () (and @t73 @t71 (= @t68 @t31))) % 0.36/0.63 (define @t75 () (tptp.greater tptp.eta tptp.zero)) % 0.36/0.63 (define @t76 () (tptp.greater tptp.sigma tptp.eta)) % 0.36/0.63 (define @t77 () (tptp.greater (tptp.age @t2 @t72) tptp.sigma)) % 0.36/0.63 (define @t78 () (tptp.age @t2 @t69)) % 0.36/0.63 (define @t79 () (tptp.smaller_or_equal @t78 tptp.sigma)) % 0.36/0.63 (define @t80 () (tptp.greater @t78 tptp.eta)) % 0.36/0.63 (define @t81 () (tptp.smaller_or_equal (tptp.age @t2 @t67) tptp.eta)) % 0.36/0.63 (define @t82 () (and @t22 @t26 @t58 @t81 @t80 @t79 @t77 @t76 @t75)) % 0.36/0.63 (define @t83 () (=> @t82 @t74)) % 0.36/0.63 (define @t84 () (@list @t2 @t30 @t67 @t69 @t72)) % 0.36/0.63 (define @t85 () (forall @t84 @t83)) % 0.36/0.63 (define @t86 () (not @t85)) % 0.36/0.63 (define @t87 () (and @t73 @t71 (= @t31 @t68))) % 0.36/0.63 (define @t88 () (not @t77)) % 0.36/0.63 (define @t89 () (not @t79)) % 0.36/0.63 (define @t90 () (not @t80)) % 0.36/0.63 (define @t91 () (not @t81)) % 0.36/0.63 (define @t92 () (= tptp.zero @t57)) % 0.36/0.63 (define @t93 () (not @t92)) % 0.36/0.63 (define @t94 () (not @t26)) % 0.36/0.63 (define @t95 () (not @t22)) % 0.36/0.63 (define @t96 () (or @t95 @t94 @t93 @t91 @t90 @t89 @t88 @t87)) % 0.36/0.63 (define @t97 () (forall @t84 @t96)) % 0.36/0.63 (define @t98 () (@quantifiers_skolemize @t97 3)) % 0.36/0.63 (define @t99 () (@quantifiers_skolemize @t97 0)) % 0.36/0.63 (define @t100 () (tptp.age @t99 @t98)) % 0.36/0.63 (define @t101 () (tptp.smaller @t100 tptp.sigma)) % 0.36/0.63 (define @t102 () (or @t101 (= @t100 tptp.sigma))) % 0.36/0.63 (define @t103 () (tptp.smaller_or_equal @t100 tptp.sigma)) % 0.36/0.63 (define @t104 () (= @t103 @t102)) % 0.36/0.63 (define @t105 () (@list @t100 tptp.sigma)) % 0.36/0.63 (define @t106 () (= tptp.sigma @t100)) % 0.36/0.63 (define @t107 () (or @t101 @t106)) % 0.36/0.63 (define @t108 () (= @t103 @t107)) % 0.36/0.63 (define @t109 () (@list false)) % 0.36/0.63 (define @t110 () (@list @t6)) % 0.36/0.63 (define @t111 () (not @t75)) % 0.36/0.63 (define @t112 () (not @t76)) % 0.36/0.63 (define @t113 () (or @t112 @t111 @t96)) % 0.36/0.63 (define @t114 () (or @t95 @t94 @t93 @t91 @t90 @t89 @t88 @t112 @t111 @t87)) % 0.36/0.63 (define @t115 () (or @t95 @t94 @t93 @t91 @t90 @t89 @t88 @t112 @t111)) % 0.36/0.63 (define @t116 () (and @t22 @t26 @t92 @t81 @t80 @t79 @t77 @t76 @t75)) % 0.36/0.63 (define @t117 () (@quantifiers_skolemize @t97 1)) % 0.36/0.63 (define @t118 () (tptp.hazard_of_mortality @t99 @t117)) % 0.36/0.63 (define @t119 () (@quantifiers_skolemize @t97 2)) % 0.36/0.63 (define @t120 () (tptp.hazard_of_mortality @t99 @t119)) % 0.36/0.63 (define @t121 () (= @t120 @t118)) % 0.36/0.63 (define @t122 () (tptp.hazard_of_mortality @t99 @t98)) % 0.36/0.63 (define @t123 () (tptp.greater @t122 @t120)) % 0.36/0.63 (define @t124 () (@quantifiers_skolemize @t97 4)) % 0.36/0.63 (define @t125 () (tptp.greater (tptp.hazard_of_mortality @t99 @t124) @t122)) % 0.36/0.63 (define @t126 () (and @t125 @t123 @t121)) % 0.36/0.63 (define @t127 () (tptp.age @t99 @t124)) % 0.36/0.63 (define @t128 () (tptp.greater @t127 tptp.sigma)) % 0.36/0.63 (define @t129 () (not @t128)) % 0.36/0.63 (define @t130 () (not @t103)) % 0.36/0.63 (define @t131 () (tptp.greater @t100 tptp.eta)) % 0.36/0.63 (define @t132 () (not @t131)) % 0.36/0.63 (define @t133 () (tptp.smaller_or_equal (tptp.age @t99 @t119) tptp.eta)) % 0.36/0.63 (define @t134 () (not @t133)) % 0.36/0.63 (define @t135 () (tptp.age @t99 @t117)) % 0.36/0.63 (define @t136 () (= tptp.zero @t135)) % 0.36/0.63 (define @t137 () (not @t136)) % 0.36/0.63 (define @t138 () (tptp.has_endowment @t99)) % 0.36/0.63 (define @t139 () (not @t138)) % 0.36/0.63 (define @t140 () (tptp.organization @t99)) % 0.36/0.63 (define @t141 () (not @t140)) % 0.36/0.63 (define @t142 () (or @t141 @t139 @t137 @t134 @t132 @t130 @t129 @t126)) % 0.36/0.63 (define @t143 () (not @t142)) % 0.36/0.63 (define @t144 () (not @t97)) % 0.36/0.63 (define @t145 () (and @t125 @t123 (= @t118 @t120))) % 0.36/0.63 (define @t146 () (or @t141 @t139 @t137 @t134 @t132 @t130 @t129 @t145)) % 0.36/0.63 (define @t147 () (not @t146)) % 0.36/0.63 (define @t148 () (@list true)) % 0.36/0.63 (define @t149 () (@list @t142)) % 0.36/0.63 (define @t150 () (@list false false)) % 0.36/0.63 (define @t151 () (= @t43 @t56)) % 0.36/0.63 (define @t152 () (or @t95 @t93 @t151)) % 0.36/0.63 (define @t153 () (and @t22 @t92)) % 0.36/0.63 (define @t154 () (tptp.dissimilar @t99 @t117 @t98)) % 0.36/0.63 (define @t155 () (tptp.greater @t100 tptp.sigma)) % 0.36/0.63 (define @t156 () (or @t141 @t137 (= @t154 @t155))) % 0.36/0.63 (define @t157 () (forall @t35 @t152)) % 0.36/0.63 (define @t158 () (@list @t99 @t117 @t98)) % 0.36/0.63 (define @t159 () (= @t155 @t154)) % 0.36/0.63 (define @t160 () (or @t141 @t137 @t159)) % 0.36/0.63 (define @t161 () (@list @t157)) % 0.36/0.63 (define @t162 () (@list false false false)) % 0.36/0.63 (define @t163 () (not @t41)) % 0.36/0.63 (define @t164 () (and @t22 (= @t163 @t40))) % 0.36/0.63 (define @t165 () (= @t43 @t164)) % 0.36/0.63 (define @t166 () (not @t46)) % 0.36/0.63 (define @t167 () (or @t95 @t166 @t40)) % 0.36/0.63 (define @t168 () (tptp.is_aligned @t99 @t117)) % 0.36/0.63 (define @t169 () (not (= @t135 tptp.zero))) % 0.36/0.63 (define @t170 () (or @t141 @t169 @t168)) % 0.36/0.63 (define @t171 () (forall @t48 @t167)) % 0.36/0.63 (define @t172 () (or @t141 @t137 @t168)) % 0.36/0.63 (define @t173 () (not @t53)) % 0.36/0.63 (define @t174 () (or @t95 @t163 @t173)) % 0.36/0.63 (define @t175 () (not @t63)) % 0.36/0.63 (define @t176 () (not @t18)) % 0.36/0.63 (define @t177 () (not @t64)) % 0.36/0.63 (define @t178 () (or @t95 @t177 @t176 @t175)) % 0.36/0.63 (define @t179 () (or (not @t20) @t18)) % 0.36/0.63 (define @t180 () (forall @t24 @t179)) % 0.36/0.63 (define @t181 () (@list @t16)) % 0.36/0.63 (define @t182 () (@var "BOUND_VARIABLE_7567" $$unsorted)) % 0.36/0.63 (define @t183 () (or (not @t21) @t17)) % 0.36/0.63 (define @t184 () (forall @t24 @t183)) % 0.36/0.63 (define @t185 () (@var "BOUND_VARIABLE_7558" $$unsorted)) % 0.36/0.63 (define @t186 () (forall @t24 @t22)) % 0.36/0.63 (define @t187 () (and @t186 @t184 @t180)) % 0.36/0.63 (define @t188 () (forall (@list @t182) (or (not (tptp.greater (tptp.age @t99 @t182) tptp.eta)) (not (tptp.has_immunity @t99 @t182))))) % 0.36/0.63 (define @t189 () (forall (@list @t185) (or (not (tptp.smaller_or_equal (tptp.age @t99 @t185) tptp.eta)) (tptp.has_immunity @t99 @t185)))) % 0.36/0.63 (define @t190 () (and @t140 @t189 @t188)) % 0.36/0.63 (define @t191 () (= @t138 @t190)) % 0.36/0.63 (define @t192 () (not @t190)) % 0.36/0.63 (define @t193 () (@list @t190)) % 0.36/0.63 (define @t194 () (not @t13)) % 0.36/0.63 (define @t195 () (not @t7)) % 0.36/0.63 (define @t196 () (tptp.greater @t127 tptp.eta)) % 0.36/0.63 (define @t197 () (or @t129 @t112 @t196)) % 0.36/0.63 (define @t198 () (tptp.has_immunity @t99 @t124)) % 0.36/0.63 (define @t199 () (not @t198)) % 0.36/0.63 (define @t200 () (not @t196)) % 0.36/0.63 (define @t201 () (or @t200 @t199)) % 0.36/0.63 (define @t202 () (tptp.has_immunity @t99 @t98)) % 0.36/0.63 (define @t203 () (not @t202)) % 0.36/0.63 (define @t204 () (or @t132 @t203)) % 0.36/0.63 (define @t205 () (or @t95 @t64 @t18)) % 0.36/0.63 (define @t206 () (tptp.smaller tptp.zero tptp.eta)) % 0.36/0.63 (define @t207 () (or @t206 (= tptp.zero tptp.eta))) % 0.36/0.63 (define @t208 () (tptp.smaller_or_equal tptp.zero tptp.eta)) % 0.36/0.63 (define @t209 () (= @t208 @t207)) % 0.36/0.63 (define @t210 () (@list tptp.zero tptp.eta)) % 0.36/0.63 (define @t211 () (or @t206 (= tptp.eta tptp.zero))) % 0.36/0.63 (define @t212 () (= @t208 @t211)) % 0.36/0.63 (define @t213 () (= @t206 @t75)) % 0.36/0.63 (define @t214 () (= @t75 @t206)) % 0.36/0.63 (define @t215 () (tptp.smaller_or_equal @t135 tptp.eta)) % 0.36/0.63 (define @t216 () (tptp.has_immunity @t99 @t117)) % 0.36/0.63 (define @t217 () (not @t215)) % 0.36/0.63 (define @t218 () (or @t217 @t216)) % 0.36/0.63 (define @t219 () (tptp.has_immunity @t99 @t119)) % 0.36/0.63 (define @t220 () (or @t134 @t219)) % 0.36/0.63 (define @t221 () (not @t216)) % 0.36/0.63 (define @t222 () (not @t219)) % 0.36/0.63 (define @t223 () (or @t141 @t222 @t221 @t121)) % 0.36/0.63 (define @t224 () (or @t95 @t64 @t176)) % 0.36/0.63 (define @t225 () (or @t141 @t222 @t202 @t123)) % 0.36/0.63 (define @t226 () (tptp.greater (tptp.capability @t99 @t98) (tptp.capability @t99 @t124))) % 0.36/0.63 (define @t227 () (not @t226)) % 0.36/0.63 (define @t228 () (or @t141 @t198 @t202 @t227 @t125)) % 0.36/0.63 (define @t229 () (@list @t99 @t117 @t124)) % 0.36/0.63 (define @t230 () (tptp.dissimilar @t99 @t117 @t124)) % 0.36/0.63 (define @t231 () (or @t141 @t137 (= @t230 @t128))) % 0.36/0.63 (define @t232 () (= @t128 @t230)) % 0.36/0.63 (define @t233 () (or @t141 @t137 @t232)) % 0.36/0.63 (define @t234 () (not @t168)) % 0.36/0.63 (define @t235 () (tptp.is_aligned @t99 @t124)) % 0.36/0.63 (define @t236 () (= @t235 @t234)) % 0.36/0.63 (define @t237 () (and @t140 @t236)) % 0.36/0.63 (define @t238 () (= @t230 @t237)) % 0.36/0.63 (define @t239 () (not @t235)) % 0.36/0.63 (define @t240 () (tptp.is_aligned @t99 @t98)) % 0.36/0.63 (define @t241 () (not @t240)) % 0.36/0.63 (define @t242 () (or @t141 @t241 @t235 @t226)) % 0.36/0.63 (define @t243 () (= @t240 @t234)) % 0.36/0.63 (define @t244 () (@list true false)) % 0.36/0.63 (define @t245 () (and @t140 @t243)) % 0.36/0.63 (define @t246 () (= @t154 @t245)) % 0.36/0.63 (define @t247 () (not @t155)) % 0.36/0.63 (define @t248 () (tptp.greater tptp.sigma @t100)) % 0.36/0.63 (define @t249 () (not @t248)) % 0.36/0.63 (define @t250 () (or @t249 @t247)) % 0.36/0.63 (define @t251 () (= @t101 @t248)) % 0.36/0.63 (define @t252 () (not @t101)) % 0.36/0.63 (define @t253 () (not @t106)) % 0.36/0.63 (define @t254 () (and @t106 @t249)) % 0.36/0.63 (assume @p1 @t6) % 0.36/0.63 (assume @p2 (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t7 @t3)))) % 0.36/0.63 (assume @p3 @t9) % 0.36/0.63 (assume @p4 @t10) % 0.36/0.63 (assume @p5 @t15) % 0.36/0.63 (assume @p6 (forall @t5 (or @t4 @t3 @t7))) % 0.36/0.63 (assume @p7 @t28) % 0.36/0.63 (assume 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% 0.36/0.63 (step @p55 :rule refl :args (@t93)) % 0.36/0.63 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t93 (not (and @t81 @t80 @t79 @t77 @t76 @t75))))) % 0.36/0.63 (step @p57 :rule bool-and-de-morgan :args (@t92 @t81 (and @t80 @t79 @t77 @t76 @t75))) % 0.36/0.63 (step @p58 :rule trans :premises (@p57 @p56)) % 0.36/0.63 (step @p59 :rule refl :args (@t94)) % 0.36/0.63 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t94 (not (and @t92 @t81 @t80 @t79 @t77 @t76 @t75))))) % 0.36/0.63 (step @p61 :rule bool-and-de-morgan :args (@t26 @t92 (and @t81 @t80 @t79 @t77 @t76 @t75))) % 0.36/0.63 (step @p62 :rule trans :premises (@p61 @p60)) % 0.36/0.63 (step @p63 :rule refl :args (@t95)) % 0.36/0.63 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t95 (not (and @t26 @t92 @t81 @t80 @t79 @t77 @t76 @t75))))) % 0.36/0.63 (step @p65 :rule bool-and-de-morgan :args (@t22 @t26 (and @t92 @t81 @t80 @t79 @t77 @t76 @t75))) % 0.36/0.63 (step @p66 :rule trans :premises (@p65 @p64)) % 0.36/0.63 (step @p67 :rule trans :premises (@p66 @p37)) % 0.36/0.64 (step @p68 :rule nary_cong :premises (@p67 @p36) :args ((or (not @t116) @t87))) % 0.36/0.64 (step @p69 :rule trans :premises (@p68 @p35)) % 0.36/0.64 (step @p70 :rule bool-impl-elim :args (@t116 @t87)) % 0.36/0.64 (step @p71 :rule trans :premises (@p70 @p69)) % 0.36/0.64 (step @p72 :rule cong :premises (@p71) :args ((forall @t84 (=> @t116 @t87)))) % 0.36/0.64 (step @p73 :rule trans :premises (@p72 @p34)) % 0.36/0.64 (step @p74 :rule eq-symm :args (@t68 @t31)) % 0.36/0.64 (step @p75 :rule refl :args (@t71)) % 0.36/0.64 (step @p76 :rule refl :args (@t73)) % 0.36/0.64 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74) :args (@t74)) % 0.36/0.64 (step @p78 :rule refl :args (@t75)) % 0.36/0.64 (step @p79 :rule refl :args (@t76)) % 0.36/0.64 (step @p80 :rule refl :args (@t77)) % 0.36/0.64 (step @p81 :rule refl :args (@t79)) % 0.36/0.64 (step @p82 :rule refl :args (@t80)) % 0.36/0.64 (step @p83 :rule refl :args 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:rule refl :args (@t125)) % 0.36/0.64 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97) :args (@t145)) % 0.36/0.64 (step @p101 :rule refl :args (@t129)) % 0.36/0.64 (step @p102 :rule refl :args (@t130)) % 0.36/0.64 (step @p103 :rule refl :args (@t132)) % 0.36/0.64 (step @p104 :rule refl :args (@t134)) % 0.36/0.64 (step @p105 :rule refl :args (@t137)) % 0.36/0.64 (step @p106 :rule refl :args (@t139)) % 0.36/0.64 (step @p107 :rule refl :args (@t141)) % 0.36/0.64 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100) :args (@t146)) % 0.36/0.64 (step @p109 :rule cong :premises (@p108) :args (@t147)) % 0.36/0.64 (step @p110 :rule refl :args (@t144)) % 0.36/0.64 (step @p111 :rule cong :premises (@p110 @p109) :args ((=> @t144 @t147))) % 0.36/0.64 (assume-push @p500 @t144) % 0.36/0.64 (step @p113 :rule skolemize :premises (@p93)) % 0.36/0.64 (step-pop @p501 :rule scope :premises (@p113)) % 0.36/0.64 (step @p114 :rule process_scope :premises (@p501) :args 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(step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p30) :args (@t107 @t150 (@list @t103 @t108))) % 0.36/0.64 (step @p130 :rule instantiate :premises (@p3) :args (@t105)) % 0.36/0.64 (step @p131 :rule bool-and-de-morgan :args (@t7 @t8 true)) % 0.36/0.64 (step @p132 :rule cong :premises (@p131) :args (@t10)) % 0.36/0.64 (step @p133 :rule eq_resolve :premises (@p4 @p132)) % 0.36/0.64 (step @p134 :rule instantiate :premises (@p133) :args ((@list tptp.sigma @t100))) % 0.36/0.64 (step @p135 :rule aci_norm :args ((= (or (or @t95 @t93) @t151) @t152))) % 0.36/0.64 (step @p136 :rule refl :args (@t151)) % 0.36/0.64 (step @p137 :rule bool-and-de-morgan :args (@t22 @t92 true)) % 0.36/0.64 (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or (not @t153) @t151))) % 0.36/0.64 (step @p139 :rule trans :premises (@p138 @p135)) % 0.36/0.64 (step @p140 :rule bool-impl-elim :args (@t153 @t151)) % 0.36/0.64 (step @p141 :rule trans :premises (@p140 @p139)) % 0.36/0.64 (step @p142 :rule cong :premises (@p141) :args ((forall @t35 (=> @t153 @t151)))) % 0.36/0.64 (step @p143 :rule eq-symm :args (@t56 @t43)) % 0.36/0.64 (step @p144 :rule nary_cong :premises (@p86 @p84) :args (@t59)) % 0.36/0.64 (step @p145 :rule cong :premises (@p144 @p143) :args (@t60)) % 0.36/0.64 (step @p146 :rule cong :premises (@p145) :args (@t61)) % 0.36/0.64 (step @p147 :rule trans :premises (@p146 @p142)) % 0.36/0.64 (step @p148 :rule eq_resolve :premises (@p13 @p147)) % 0.36/0.64 (step @p149 :rule eq-symm :args (@t154 @t155)) % 0.36/0.64 (step @p150 :rule nary_cong :premises (@p107 @p105 @p149) :args (@t156)) % 0.36/0.64 (step @p151 :rule refl :args (@t157)) % 0.36/0.64 (step @p152 :rule cong :premises (@p151 @p150) :args ((=> @t157 @t156))) % 0.36/0.64 (assume-push @p502 @t157) % 0.36/0.64 (step @p154 :rule instantiate :premises (@p148) :args (@t158)) % 0.36/0.64 (step-pop @p503 :rule scope :premises (@p154)) % 0.36/0.64 (step @p155 :rule process_scope :premises (@p503) :args (@t156)) % 0.36/0.64 (step @p157 :rule eq_resolve :premises (@p155 @p152)) % 0.36/0.64 (step @p158 :rule implies_elim :premises (@p157)) % 0.36/0.64 (step @p159 :rule chain_m_resolution :premises (@p158 @p148) :args (@t160 @t109 @t161)) % 0.36/0.64 (step @p160 :rule bool-double-not-elim :args (@t136)) % 0.36/0.64 (step @p161 :rule nary_cong :premises (@p121 @p160) :args ((or @t142 (not @t137)))) % 0.36/0.64 (step @p162 :rule cnf_or_neg :args (@t142 2)) % 0.36/0.64 (step @p163 :rule eq_resolve :premises (@p162 @p161)) % 0.36/0.64 (step @p164 :rule reordering :premises (@p163) :args ((or @t136 @t142))) % 0.36/0.64 (step @p165 :rule chain_m_resolution :premises (@p164 @p119) :args (@t136 @t148 @t149)) % 0.36/0.64 (step @p166 :rule bool-double-not-elim :args (@t140)) % 0.36/0.64 (step @p167 :rule nary_cong :premises (@p121 @p166) :args ((or @t142 (not @t141)))) % 0.36/0.64 (step @p168 :rule cnf_or_neg :args (@t142 0)) % 0.36/0.64 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 0.36/0.64 (step 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0.36/0.64 (step @p183 :rule refl :args (@t43)) % 0.36/0.64 (step @p184 :rule cong :premises (@p183 @p182) :args (@t44)) % 0.36/0.64 (step @p185 :rule cong :premises (@p184) :args (@t45)) % 0.36/0.64 (step @p186 :rule trans :premises (@p185 @p179)) % 0.36/0.64 (step @p187 :rule eq_resolve :premises (@p10 @p186)) % 0.36/0.64 (step @p188 :rule instantiate :premises (@p187) :args (@t158)) % 0.36/0.64 (step @p189 :rule aci_norm :args ((= (or (or @t95 @t166) @t40) @t167))) % 0.36/0.64 (step @p190 :rule refl :args (@t40)) % 0.36/0.64 (step @p191 :rule bool-and-de-morgan :args (@t22 @t46 true)) % 0.36/0.64 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or (not @t47) @t40))) % 0.36/0.64 (step @p193 :rule trans :premises (@p192 @p189)) % 0.36/0.64 (step @p194 :rule bool-impl-elim :args (@t47 @t40)) % 0.36/0.64 (step @p195 :rule trans :premises (@p194 @p193)) % 0.36/0.64 (step @p196 :rule cong :premises (@p195) :args (@t49)) % 0.36/0.64 (step @p197 :rule eq_resolve :premises (@p11 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eq_resolve :premises (@p428 @p425)) % 0.36/0.64 (step @p431 :rule implies_elim :premises (@p430)) % 0.36/0.64 (step @p432 :rule chain_m_resolution :premises (@p431 @p148) :args (@t233 @t109 @t161)) % 0.36/0.64 (step @p433 :rule cnf_or_pos :args (@t233)) % 0.36/0.64 (step @p434 :rule reordering :premises (@p433) :args ((or @t141 @t137 @t232 (not @t233)))) % 0.36/0.64 (step @p435 :rule chain_m_resolution :premises (@p434 @p171 @p165 @p432) :args (@t232 @t162 (@list @t140 @t136 @t233))) % 0.36/0.64 (step @p436 :rule cnf_equiv_pos1 :args (@t232)) % 0.36/0.64 (step @p437 :rule reordering :premises (@p436) :args ((or @t129 @t230 (not @t232)))) % 0.36/0.64 (step @p438 :rule chain_m_resolution :premises (@p437 @p300 @p435) :args (@t230 @t150 (@list @t128 @t232))) % 0.36/0.64 (step @p439 :rule cnf_equiv_pos1 :args (@t238)) % 0.36/0.64 (step @p440 :rule reordering :premises (@p439) :args ((or @t237 (not @t230) (not @t238)))) % 0.36/0.64 (step @p441 :rule chain_m_resolution :premises (@p440 @p438 @p422) :args (@t237 @t150 (@list @t230 @t238))) % 0.36/0.64 (step @p442 :rule cnf_and_pos :args (@t237 1)) % 0.36/0.64 (step @p443 :rule reordering :premises (@p442) :args ((or @t236 (not @t237)))) % 0.36/0.64 (step @p444 :rule chain_m_resolution :premises (@p443 @p441) :args (@t236 @t109 (@list @t237))) % 0.36/0.64 (step @p445 :rule cnf_equiv_pos1 :args (@t236)) % 0.36/0.64 (step @p446 :rule reordering :premises (@p445) :args ((or @t234 @t239 (not @t236)))) % 0.36/0.64 (step @p447 :rule chain_m_resolution :premises (@p446 @p213 @p444) :args (@t239 @t150 (@list @t168 @t236))) % 0.36/0.64 (step @p448 :rule cnf_or_pos :args (@t242)) % 0.36/0.64 (step @p449 :rule reordering :premises (@p448) :args ((or @t141 @t235 @t226 @t241 (not @t242)))) % 0.36/0.64 (step @p450 :rule chain_m_resolution :premises (@p449 @p171 @p447 @p421 @p232) :args (@t241 (@list false true true false) (@list @t140 @t235 @t226 @t242))) % 0.36/0.64 (step @p451 :rule cnf_equiv_neg1 :args (@t243)) % 0.36/0.64 (step @p452 :rule reordering :premises (@p451) :args ((or @t240 @t234 @t243))) % 0.36/0.64 (step @p453 :rule chain_m_resolution :premises (@p452 @p450 @p213) :args (@t243 @t244 (@list @t240 @t168))) % 0.36/0.64 (step @p454 :rule cnf_and_neg :args (@t245)) % 0.36/0.64 (step @p455 :rule reordering :premises (@p454) :args ((or @t141 @t245 (not @t243)))) % 0.36/0.64 (step @p456 :rule chain_m_resolution :premises (@p455 @p171 @p453) :args (@t245 @t150 (@list @t140 @t243))) % 0.36/0.64 (step @p457 :rule cnf_equiv_pos2 :args (@t246)) % 0.36/0.64 (step @p458 :rule reordering :premises (@p457) :args ((or @t154 (not @t245) (not @t246)))) % 0.36/0.64 (step @p459 :rule chain_m_resolution :premises (@p458 @p456 @p188) :args (@t154 @t150 (@list @t245 @t246))) % 0.36/0.64 (step @p460 :rule cnf_equiv_pos2 :args (@t159)) % 0.36/0.64 (step @p461 :rule reordering :premises (@p460) :args ((or @t155 (not @t154) (not @t159)))) % 0.36/0.64 (step @p462 :rule chain_m_resolution :premises (@p461 @p459 @p174) :args (@t155 @t150 (@list @t154 @t159))) % 0.36/0.64 (step @p463 :rule cnf_or_pos :args (@t250)) % 0.36/0.64 (step @p464 :rule reordering :premises (@p463) :args ((or @t249 @t247 (not @t250)))) % 0.36/0.64 (step @p465 :rule chain_m_resolution :premises (@p464 @p462 @p134) :args (@t249 @t150 (@list @t155 @t250))) % 0.36/0.64 (step @p466 :rule cnf_equiv_pos1 :args (@t251)) % 0.36/0.64 (step @p467 :rule reordering :premises (@p466) :args ((or @t252 @t248 (not @t251)))) % 0.36/0.64 (step @p468 :rule chain_m_resolution :premises (@p467 @p465 @p130) :args (@t252 @t244 (@list @t248 @t251))) % 0.36/0.64 (step @p469 :rule refl :args (@t247)) % 0.36/0.64 (step @p470 :rule bool-double-not-elim :args (@t248)) % 0.36/0.64 (step @p471 :rule refl :args (@t253)) % 0.36/0.64 (step @p472 :rule nary_cong :premises (@p471 @p470 @p469) :args ((or @t253 (not @t249) @t247))) % 0.36/0.64 (assume-push @p512 @t106) % 0.36/0.64 (assume-push @p513 @t249) % 0.36/0.64 (assume-push @p514 @t249) % 0.36/0.64 (assume-push @p515 @t106) % 0.36/0.64 (step @p477 :rule false_intro :premises (@p465)) % 0.36/0.64 (step @p478 :rule symm :premises (@p512)) % 0.36/0.64 (step @p479 :rule cong :premises (@p478 @p512) :args (@t155)) % 0.36/0.64 (step @p480 :rule trans :premises (@p479 @p477)) % 0.36/0.64 (step @p481 :rule false_elim :premises (@p480)) % 0.36/0.64 (step-pop @p516 :rule scope :premises (@p481)) % 0.36/0.64 (step-pop @p517 :rule scope :premises (@p516)) % 0.36/0.64 (step @p482 :rule process_scope :premises (@p517) :args (@t247)) % 0.36/0.64 (step @p485 :rule and_intro :premises (@p465 @p512)) % 0.36/0.64 (step @p486 :rule modus_ponens :premises (@p485 @p482)) % 0.36/0.64 (step-pop @p518 :rule scope :premises (@p486)) % 0.36/0.64 (step-pop @p519 :rule scope :premises (@p518)) % 0.36/0.64 (step @p487 :rule process_scope :premises (@p519) :args (@t247)) % 0.36/0.64 (step @p490 :rule implies_elim :premises (@p487)) % 0.36/0.64 (step @p491 :rule cnf_and_neg :args (@t254)) % 0.36/0.64 (step @p492 :rule resolution :premises (@p491 @p490) :args (true @t254)) % 0.36/0.64 (step @p493 :rule eq_resolve :premises (@p492 @p472)) % 0.36/0.64 (step @p494 :rule chain_m_resolution :premises (@p493 @p465 @p462) :args (@t253 @t244 (@list @t248 @t155))) % 0.36/0.64 (step @p495 :rule cnf_or_pos :args (@t107)) % 0.36/0.64 (step @p496 :rule reordering :premises (@p495) :args ((or @t101 @t106 (not @t107)))) % 0.36/0.64 (step @p497 false :rule chain_m_resolution :premises (@p496 @p494 @p468 @p129) :args (false (@list true true false) (@list @t106 @t101 @t107))) % 0.36/0.64 ) % 0.36/0.64 % SZS output end Proof % 0.36/0.64 % cvc5 exiting %------------------------------------------------------------------------------