%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT065+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 : n009.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 0.30s 0.61s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT065+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 % 0.10/0.37 % Computer : n009.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Mon Sep 7 13:46:07 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.61 % SZS status Theorem % 0.30/0.61 % SZS output start Proof % 0.30/0.61 ( % 0.30/0.61 (declare-sort $$unsorted 0) % 0.30/0.61 (declare-const tptp.fragile_position (-> $$unsorted Bool)) % 0.30/0.61 (declare-const tptp.tau $$unsorted) % 0.30/0.61 (declare-const tptp.very_low $$unsorted) % 0.30/0.61 (declare-const tptp.mod2 $$unsorted) % 0.30/0.61 (declare-const tptp.positional_advantage (-> $$unsorted $$unsorted Bool)) % 0.30/0.61 (declare-const tptp.hazard_of_mortality (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.61 (declare-const tptp.robust_position (-> $$unsorted Bool)) % 0.30/0.61 (declare-const tptp.high $$unsorted) % 0.30/0.61 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.30/0.61 (declare-const tptp.mod1 $$unsorted) % 0.30/0.61 (declare-const tptp.is_aligned (-> $$unsorted $$unsorted Bool)) % 0.30/0.61 (declare-const tptp.low $$unsorted) % 0.30/0.61 (declare-const tptp.dissimilar (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.61 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.30/0.61 (declare-const tptp.eta $$unsorted) % 0.30/0.61 (declare-const tptp.age (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.61 (declare-const tptp.has_immunity (-> $$unsorted $$unsorted Bool)) % 0.30/0.61 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.30/0.61 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.30/0.61 (declare-const tptp.has_endowment (-> $$unsorted Bool)) % 0.30/0.61 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.30/0.61 (declare-const tptp.zero $$unsorted) % 0.30/0.61 (declare-const tptp.sigma $$unsorted) % 0.30/0.61 (define @t1 () (@var "Y" $$unsorted)) % 0.30/0.61 (define @t2 () (@var "X" $$unsorted)) % 0.30/0.61 (define @t3 () (= @t2 @t1)) % 0.30/0.61 (define @t4 () (tptp.smaller @t2 @t1)) % 0.30/0.61 (define @t5 () (@list @t2 @t1)) % 0.30/0.61 (define @t6 () (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.30/0.61 (define @t7 () (tptp.greater @t2 @t1)) % 0.30/0.61 (define @t8 () (tptp.greater @t1 @t2)) % 0.30/0.61 (define @t9 () (forall @t5 (= @t4 @t8))) % 0.30/0.61 (define @t10 () (@var "Z" $$unsorted)) % 0.30/0.61 (define @t11 () (tptp.greater @t2 @t10)) % 0.30/0.61 (define @t12 () (tptp.greater @t1 @t10)) % 0.30/0.61 (define @t13 () (and @t7 @t12)) % 0.30/0.61 (define @t14 () (forall (@list @t2 @t1 @t10) (=> @t13 @t11))) % 0.30/0.61 (define @t15 () (@var "T" $$unsorted)) % 0.30/0.61 (define @t16 () (tptp.has_immunity @t2 @t15)) % 0.30/0.61 (define @t17 () (not @t16)) % 0.30/0.61 (define @t18 () (tptp.age @t2 @t15)) % 0.30/0.61 (define @t19 () (tptp.greater @t18 tptp.eta)) % 0.30/0.61 (define @t20 () (tptp.smaller_or_equal @t18 tptp.eta)) % 0.30/0.61 (define @t21 () (tptp.organization @t2)) % 0.30/0.61 (define @t22 () (and @t21 (=> @t20 @t16) (=> @t19 @t17))) % 0.30/0.61 (define @t23 () (@list @t15)) % 0.30/0.61 (define @t24 () (forall @t23 @t22)) % 0.30/0.61 (define @t25 () (tptp.has_endowment @t2)) % 0.30/0.61 (define @t26 () (= @t25 @t24)) % 0.30/0.61 (define @t27 () (forall (@list @t2) @t26)) % 0.30/0.61 (define @t28 () (tptp.is_aligned @t2 @t15)) % 0.30/0.61 (define @t29 () (@var "T0" $$unsorted)) % 0.30/0.61 (define @t30 () (tptp.dissimilar @t2 @t29 @t15)) % 0.30/0.61 (define @t31 () (@list @t2 @t29 @t15)) % 0.30/0.61 (define @t32 () (@list @t2 @t15)) % 0.30/0.61 (define @t33 () (tptp.age @t2 @t29)) % 0.30/0.61 (define @t34 () (= @t33 tptp.zero)) % 0.30/0.61 (define @t35 () (tptp.hazard_of_mortality @t2 @t15)) % 0.30/0.61 (define @t36 () (tptp.positional_advantage @t2 @t15)) % 0.30/0.61 (define @t37 () (not @t36)) % 0.30/0.61 (define @t38 () (not @t28)) % 0.30/0.61 (define @t39 () (and @t38 @t37)) % 0.30/0.61 (define @t40 () (=> @t39 (= @t35 tptp.high))) % 0.30/0.61 (define @t41 () (and @t28 @t37)) % 0.30/0.61 (define @t42 () (=> @t41 (= @t35 tptp.mod2))) % 0.30/0.61 (define @t43 () (and @t38 @t36)) % 0.30/0.61 (define @t44 () (=> @t43 (= @t35 tptp.mod1))) % 0.30/0.61 (define @t45 () (and @t28 @t36)) % 0.30/0.61 (define @t46 () (=> @t45 (= @t35 tptp.low))) % 0.30/0.61 (define @t47 () (and @t46 @t44 @t42 @t40)) % 0.30/0.61 (define @t48 () (=> @t17 @t47)) % 0.30/0.61 (define @t49 () (=> @t16 (= @t35 tptp.very_low))) % 0.30/0.61 (define @t50 () (and @t49 @t48)) % 0.30/0.61 (define @t51 () (=> @t21 @t50)) % 0.30/0.61 (define @t52 () (forall @t32 @t51)) % 0.30/0.61 (define @t53 () (tptp.greater tptp.high tptp.mod1)) % 0.30/0.61 (define @t54 () (tptp.greater tptp.mod1 tptp.low)) % 0.30/0.61 (define @t55 () (tptp.greater tptp.low tptp.very_low)) % 0.30/0.61 (define @t56 () (tptp.greater tptp.mod2 tptp.low)) % 0.30/0.61 (define @t57 () (@var "T1" $$unsorted)) % 0.30/0.61 (define @t58 () (tptp.hazard_of_mortality @t2 @t57)) % 0.30/0.61 (define @t59 () (@var "T2" $$unsorted)) % 0.30/0.61 (define @t60 () (and (tptp.greater (tptp.hazard_of_mortality @t2 @t59) @t58) (= @t58 (tptp.hazard_of_mortality @t2 @t29)))) % 0.30/0.61 (define @t61 () (tptp.age @t2 @t59)) % 0.30/0.61 (define @t62 () (tptp.greater @t61 tptp.eta)) % 0.30/0.61 (define @t63 () (tptp.greater @t61 tptp.tau)) % 0.30/0.61 (define @t64 () (tptp.greater @t61 tptp.sigma)) % 0.30/0.61 (define @t65 () (tptp.age @t2 @t57)) % 0.30/0.61 (define @t66 () (tptp.smaller_or_equal @t65 tptp.eta)) % 0.30/0.61 (define @t67 () (tptp.smaller_or_equal @t65 tptp.tau)) % 0.30/0.61 (define @t68 () (tptp.smaller_or_equal @t65 tptp.sigma)) % 0.30/0.61 (define @t69 () (tptp.greater tptp.eta tptp.zero)) % 0.30/0.61 (define @t70 () (tptp.greater tptp.tau tptp.zero)) % 0.30/0.61 (define @t71 () (tptp.greater tptp.sigma tptp.zero)) % 0.30/0.61 (define @t72 () (tptp.fragile_position @t2)) % 0.30/0.61 (define @t73 () (tptp.robust_position @t2)) % 0.30/0.61 (define @t74 () (or @t73 @t72)) % 0.30/0.61 (define @t75 () (and @t21 @t74 @t25 @t34 @t71 @t70 @t69 @t68 @t67 @t66 @t64 @t63 @t62)) % 0.30/0.61 (define @t76 () (=> @t75 @t60)) % 0.30/0.61 (define @t77 () (@list @t2 @t29 @t57 @t59)) % 0.30/0.61 (define @t78 () (forall @t77 @t76)) % 0.30/0.61 (define @t79 () (not @t78)) % 0.30/0.61 (define @t80 () (tptp.smaller tptp.very_low tptp.mod2)) % 0.30/0.61 (define @t81 () (tptp.greater tptp.mod2 tptp.very_low)) % 0.30/0.61 (define @t82 () (= @t80 @t81)) % 0.30/0.61 (define @t83 () (= @t81 @t80)) % 0.30/0.61 (define @t84 () (@list false)) % 0.30/0.61 (define @t85 () (@list @t9)) % 0.30/0.61 (define @t86 () (not @t12)) % 0.30/0.61 (define @t87 () (not @t7)) % 0.30/0.61 (define @t88 () (not @t55)) % 0.30/0.61 (define @t89 () (not @t56)) % 0.30/0.61 (define @t90 () (or @t89 @t88 @t81)) % 0.30/0.61 (define @t91 () (@list false false false)) % 0.30/0.61 (define @t92 () (@list false false)) % 0.30/0.61 (define @t93 () (= tptp.high @t35)) % 0.30/0.61 (define @t94 () (not @t37)) % 0.30/0.61 (define @t95 () (not @t38)) % 0.30/0.61 (define @t96 () (= tptp.mod2 @t35)) % 0.30/0.61 (define @t97 () (= tptp.mod1 @t35)) % 0.30/0.61 (define @t98 () (= tptp.low @t35)) % 0.30/0.61 (define @t99 () (and (=> @t45 @t98) (=> @t43 @t97) (=> @t41 @t96) (=> @t39 @t93))) % 0.30/0.61 (define @t100 () (= tptp.very_low @t35)) % 0.30/0.61 (define @t101 () (and (=> @t16 @t100) (=> @t17 @t99))) % 0.30/0.61 (define @t102 () (not @t21)) % 0.30/0.61 (define @t103 () (not @t62)) % 0.30/0.61 (define @t104 () (not @t63)) % 0.30/0.61 (define @t105 () (not @t64)) % 0.30/0.61 (define @t106 () (not @t66)) % 0.30/0.61 (define @t107 () (not @t67)) % 0.30/0.61 (define @t108 () (not @t68)) % 0.30/0.61 (define @t109 () (= tptp.zero @t33)) % 0.30/0.61 (define @t110 () (not @t109)) % 0.30/0.61 (define @t111 () (not @t25)) % 0.30/0.61 (define @t112 () (and (not @t73) (not @t72))) % 0.30/0.61 (define @t113 () (or @t102 @t112 @t111 @t110 @t108 @t107 @t106 @t105 @t104 @t103 @t60)) % 0.30/0.61 (define @t114 () (forall @t77 @t113)) % 0.30/0.61 (define @t115 () (@quantifiers_skolemize @t114 2)) % 0.30/0.61 (define @t116 () (@quantifiers_skolemize @t114 0)) % 0.30/0.61 (define @t117 () (not @t69)) % 0.30/0.61 (define @t118 () (not @t70)) % 0.30/0.61 (define @t119 () (not @t71)) % 0.30/0.61 (define @t120 () (or @t119 @t118 @t117 @t113)) % 0.30/0.61 (define @t121 () (or @t102 @t112 @t111 @t110 @t119 @t118 @t117 @t108 @t107 @t106 @t105 @t104 @t103 @t60)) % 0.30/0.61 (define @t122 () (not @t74)) % 0.30/0.61 (define @t123 () (or @t102 @t122 @t111 @t110 @t119 @t118 @t117 @t108 @t107 @t106 @t105 @t104 @t103)) % 0.30/0.61 (define @t124 () (and @t21 @t74 @t25 @t109 @t71 @t70 @t69 @t68 @t67 @t66 @t64 @t63 @t62)) % 0.30/0.61 (define @t125 () (tptp.organization @t116)) % 0.30/0.61 (define @t126 () (@quantifiers_skolemize @t114 1)) % 0.30/0.61 (define @t127 () (tptp.hazard_of_mortality @t116 @t126)) % 0.30/0.61 (define @t128 () (tptp.hazard_of_mortality @t116 @t115)) % 0.30/0.61 (define @t129 () (= @t128 @t127)) % 0.30/0.61 (define @t130 () (@quantifiers_skolemize @t114 3)) % 0.30/0.61 (define @t131 () (tptp.hazard_of_mortality @t116 @t130)) % 0.30/0.61 (define @t132 () (tptp.greater @t131 @t128)) % 0.30/0.61 (define @t133 () (and @t132 @t129)) % 0.30/0.61 (define @t134 () (tptp.age @t116 @t130)) % 0.30/0.61 (define @t135 () (tptp.greater @t134 tptp.eta)) % 0.30/0.61 (define @t136 () (not @t135)) % 0.30/0.61 (define @t137 () (tptp.age @t116 @t115)) % 0.30/0.61 (define @t138 () (tptp.smaller_or_equal @t137 tptp.eta)) % 0.30/0.61 (define @t139 () (not @t138)) % 0.30/0.61 (define @t140 () (tptp.age @t116 @t126)) % 0.30/0.61 (define @t141 () (= tptp.zero @t140)) % 0.30/0.61 (define @t142 () (not @t141)) % 0.30/0.61 (define @t143 () (tptp.has_endowment @t116)) % 0.30/0.61 (define @t144 () (not @t143)) % 0.30/0.61 (define @t145 () (not @t125)) % 0.30/0.61 (define @t146 () (or @t145 (and (not (tptp.robust_position @t116)) (not (tptp.fragile_position @t116))) @t144 @t142 (not (tptp.smaller_or_equal @t137 tptp.sigma)) (not (tptp.smaller_or_equal @t137 tptp.tau)) @t139 (not (tptp.greater @t134 tptp.sigma)) (not (tptp.greater @t134 tptp.tau)) @t136 @t133)) % 0.30/0.61 (define @t147 () (@list true)) % 0.30/0.61 (define @t148 () (@list @t146)) % 0.30/0.61 (define @t149 () (tptp.positional_advantage @t116 @t115)) % 0.30/0.61 (define @t150 () (tptp.is_aligned @t116 @t115)) % 0.30/0.61 (define @t151 () (not @t150)) % 0.30/0.61 (define @t152 () (not @t149)) % 0.30/0.61 (define @t153 () (tptp.has_immunity @t116 @t115)) % 0.30/0.61 (define @t154 () (= tptp.very_low @t128)) % 0.30/0.61 (define @t155 () (not @t153)) % 0.30/0.61 (define @t156 () (or @t155 @t154)) % 0.30/0.61 (define @t157 () (and @t156 (or @t153 (and (or @t151 @t152 (= tptp.low @t128)) (or @t150 @t152 (= tptp.mod1 @t128)) (or @t151 @t149 (= tptp.mod2 @t128)) (or @t150 @t149 (= tptp.high @t128)))))) % 0.30/0.61 (define @t158 () (or @t145 @t157)) % 0.30/0.61 (define @t159 () (or (not @t19) @t17)) % 0.30/0.61 (define @t160 () (forall @t23 @t159)) % 0.30/0.61 (define @t161 () (@list @t15)) % 0.30/0.61 (define @t162 () (@var "BOUND_VARIABLE_7582" $$unsorted)) % 0.30/0.61 (define @t163 () (or (not @t20) @t16)) % 0.30/0.61 (define @t164 () (forall @t23 @t163)) % 0.30/0.61 (define @t165 () (@var "BOUND_VARIABLE_7573" $$unsorted)) % 0.30/0.61 (define @t166 () (forall @t23 @t21)) % 0.30/0.61 (define @t167 () (and @t166 @t164 @t160)) % 0.30/0.61 (define @t168 () (forall (@list @t162) (or (not (tptp.greater (tptp.age @t116 @t162) tptp.eta)) (not (tptp.has_immunity @t116 @t162))))) % 0.30/0.61 (define @t169 () (forall (@list @t165) (or (not (tptp.smaller_or_equal (tptp.age @t116 @t165) tptp.eta)) (tptp.has_immunity @t116 @t165)))) % 0.30/0.61 (define @t170 () (and @t125 @t169 @t168)) % 0.30/0.61 (define @t171 () (= @t143 @t170)) % 0.30/0.61 (define @t172 () (not @t170)) % 0.30/0.61 (define @t173 () (@list @t170)) % 0.30/0.61 (define @t174 () (or @t139 @t153)) % 0.30/0.61 (define @t175 () (tptp.smaller @t128 @t131)) % 0.30/0.61 (define @t176 () (= @t175 @t132)) % 0.30/0.61 (define @t177 () (= @t132 @t175)) % 0.30/0.61 (define @t178 () (tptp.positional_advantage @t116 @t126)) % 0.30/0.61 (define @t179 () (tptp.is_aligned @t116 @t126)) % 0.30/0.61 (define @t180 () (not @t179)) % 0.30/0.61 (define @t181 () (not @t178)) % 0.30/0.61 (define @t182 () (tptp.has_immunity @t116 @t126)) % 0.30/0.61 (define @t183 () (= tptp.very_low @t127)) % 0.30/0.61 (define @t184 () (not @t182)) % 0.30/0.61 (define @t185 () (or @t184 @t183)) % 0.30/0.61 (define @t186 () (and @t185 (or @t182 (and (or @t180 @t181 (= tptp.low @t127)) (or @t179 @t181 (= tptp.mod1 @t127)) (or @t180 @t178 (= tptp.mod2 @t127)) (or @t179 @t178 (= tptp.high @t127)))))) % 0.30/0.61 (define @t187 () (or @t145 @t186)) % 0.30/0.61 (define @t188 () (tptp.smaller tptp.zero tptp.eta)) % 0.30/0.61 (define @t189 () (or @t188 (= tptp.zero tptp.eta))) % 0.30/0.61 (define @t190 () (tptp.smaller_or_equal tptp.zero tptp.eta)) % 0.30/0.61 (define @t191 () (= @t190 @t189)) % 0.30/0.61 (define @t192 () (@list tptp.zero tptp.eta)) % 0.30/0.61 (define @t193 () (or @t188 (= tptp.eta tptp.zero))) % 0.30/0.61 (define @t194 () (= @t190 @t193)) % 0.30/0.61 (define @t195 () (= @t188 @t69)) % 0.30/0.61 (define @t196 () (= @t69 @t188)) % 0.30/0.61 (define @t197 () (tptp.smaller_or_equal @t140 tptp.eta)) % 0.30/0.61 (define @t198 () (not @t197)) % 0.30/0.61 (define @t199 () (or @t198 @t182)) % 0.30/0.61 (define @t200 () (@list true false)) % 0.30/0.61 (define @t201 () (not @t175)) % 0.30/0.61 (define @t202 () (tptp.smaller tptp.very_low tptp.high)) % 0.30/0.61 (define @t203 () (tptp.greater tptp.high tptp.very_low)) % 0.30/0.61 (define @t204 () (= @t202 @t203)) % 0.30/0.61 (define @t205 () (= @t203 @t202)) % 0.30/0.61 (define @t206 () (tptp.greater tptp.mod1 tptp.very_low)) % 0.30/0.61 (define @t207 () (not @t54)) % 0.30/0.61 (define @t208 () (or @t207 @t88 @t206)) % 0.30/0.61 (define @t209 () (not @t206)) % 0.30/0.61 (define @t210 () (not @t53)) % 0.30/0.61 (define @t211 () (or @t210 @t209 @t203)) % 0.30/0.61 (define @t212 () (not @t202)) % 0.30/0.61 (define @t213 () (= tptp.high @t131)) % 0.30/0.61 (define @t214 () (not @t213)) % 0.30/0.61 (define @t215 () (not @t154)) % 0.30/0.61 (define @t216 () (not @t201)) % 0.30/0.61 (define @t217 () (= false true)) % 0.30/0.61 (define @t218 () (and @t202 @t154 @t213 @t201)) % 0.30/0.61 (define @t219 () (@list true false false)) % 0.30/0.61 (define @t220 () (tptp.positional_advantage @t116 @t130)) % 0.30/0.61 (define @t221 () (tptp.is_aligned @t116 @t130)) % 0.30/0.61 (define @t222 () (or @t221 @t220 @t213)) % 0.30/0.61 (define @t223 () (= tptp.mod2 @t131)) % 0.30/0.61 (define @t224 () (not @t221)) % 0.30/0.61 (define @t225 () (or @t224 @t220 @t223)) % 0.30/0.61 (define @t226 () (= tptp.mod1 @t131)) % 0.30/0.61 (define @t227 () (not @t220)) % 0.30/0.61 (define @t228 () (or @t221 @t227 @t226)) % 0.30/0.61 (define @t229 () (= tptp.low @t131)) % 0.30/0.61 (define @t230 () (or @t224 @t227 @t229)) % 0.30/0.61 (define @t231 () (and @t230 @t228 @t225 @t222)) % 0.30/0.61 (define @t232 () (tptp.has_immunity @t116 @t130)) % 0.30/0.61 (define @t233 () (or @t232 @t231)) % 0.30/0.61 (define @t234 () (not @t232)) % 0.30/0.61 (define @t235 () (and (or @t234 (= tptp.very_low @t131)) @t233)) % 0.30/0.61 (define @t236 () (or @t145 @t235)) % 0.30/0.61 (define @t237 () (or @t136 @t234)) % 0.30/0.61 (define @t238 () (not @t231)) % 0.30/0.61 (define @t239 () (@list @t231)) % 0.30/0.61 (define @t240 () (and @t183 @t154)) % 0.30/0.61 (define @t241 () (and @t55 @t154 @t229)) % 0.30/0.61 (define @t242 () (not @t229)) % 0.30/0.61 (define @t243 () (tptp.smaller tptp.very_low tptp.mod1)) % 0.30/0.61 (define @t244 () (= @t243 @t206)) % 0.30/0.61 (define @t245 () (= @t206 @t243)) % 0.30/0.61 (define @t246 () (not @t243)) % 0.30/0.61 (define @t247 () (not @t226)) % 0.30/0.61 (define @t248 () (and @t243 @t154 @t226 @t201)) % 0.30/0.61 (define @t249 () (not @t80)) % 0.30/0.61 (define @t250 () (not @t223)) % 0.30/0.61 (define @t251 () (and @t80 @t154 @t223 @t201)) % 0.30/0.61 (assume @p1 @t6) % 0.30/0.61 (assume @p2 (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t7 @t3)))) % 0.30/0.61 (assume @p3 @t9) % 0.30/0.61 (assume @p4 (forall @t5 (not (and @t7 @t8)))) % 0.30/0.61 (assume @p5 @t14) % 0.30/0.61 (assume @p6 (forall @t5 (or @t4 @t3 @t7))) % 0.30/0.61 (assume @p7 @t27) % 0.30/0.61 (assume @p8 (forall @t31 (= @t30 (and @t21 (not (= (tptp.is_aligned @t2 @t29) @t28)))))) % 0.30/0.61 (assume @p9 (forall @t32 (=> (and @t21 (= @t18 tptp.zero)) @t28))) % 0.30/0.61 (assume @p10 (forall @t31 (=> (and @t21 @t34) (= (tptp.greater @t18 tptp.sigma) @t30)))) % 0.30/0.61 (assume @p11 @t52) % 0.30/0.61 (assume @p12 @t53) % 0.30/0.61 (assume @p13 @t54) % 0.30/0.61 (assume @p14 @t55) % 0.30/0.61 (assume @p15 (tptp.greater tptp.high tptp.mod2)) % 0.30/0.61 (assume @p16 @t56) % 0.30/0.61 (assume @p17 @t79) % 0.30/0.61 (assume @p18 true) % 0.30/0.61 (step @p19 :rule eq-symm :args (@t80 @t81)) % 0.30/0.61 (step @p20 :rule refl :args (@t9)) % 0.30/0.61 (step @p21 :rule cong :premises (@p20 @p19) :args ((=> @t9 @t82))) % 0.30/0.61 (assume-push @p558 @t9) % 0.30/0.61 (step @p23 :rule instantiate :premises (@p3) :args ((@list tptp.very_low tptp.mod2))) % 0.30/0.61 (step-pop @p559 :rule scope :premises (@p23)) % 0.30/0.61 (step @p24 :rule process_scope :premises (@p559) :args (@t82)) % 0.30/0.61 (step @p26 :rule eq_resolve :premises (@p24 @p21)) % 0.30/0.61 (step @p27 :rule implies_elim :premises (@p26)) % 0.30/0.61 (step @p28 :rule chain_m_resolution :premises (@p27 @p3) :args (@t83 @t84 @t85)) % 0.30/0.61 (step @p29 :rule aci_norm :args ((= (or (or @t87 @t86) @t11) (or @t87 @t86 @t11)))) % 0.30/0.61 (step @p30 :rule refl :args (@t11)) % 0.30/0.61 (step @p31 :rule bool-and-de-morgan :args (@t7 @t12 true)) % 0.30/0.61 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t13) @t11))) % 0.30/0.61 (step @p33 :rule trans :premises (@p32 @p29)) % 0.30/0.61 (step @p34 :rule bool-impl-elim :args (@t13 @t11)) % 0.30/0.61 (step @p35 :rule trans :premises (@p34 @p33)) % 0.30/0.61 (step @p36 :rule cong :premises (@p35) :args (@t14)) % 0.30/0.61 (step @p37 :rule eq_resolve :premises (@p5 @p36)) % 0.30/0.61 (step @p38 :rule instantiate :premises (@p37) :args ((@list tptp.mod2 tptp.low tptp.very_low))) % 0.30/0.61 (step @p39 :rule cnf_or_pos :args (@t90)) % 0.30/0.61 (step @p40 :rule reordering :premises (@p39) :args ((or @t88 @t89 @t81 (not @t90)))) % 0.30/0.61 (step @p41 :rule chain_m_resolution :premises (@p40 @p14 @p16 @p38) :args (@t81 @t91 (@list @t55 @t56 @t90))) % 0.30/0.61 (step @p42 :rule cnf_equiv_pos1 :args (@t83)) % 0.30/0.61 (step @p43 :rule reordering :premises (@p42) :args ((or (not @t81) @t80 (not @t83)))) % 0.30/0.61 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p28) :args (@t80 @t92 (@list @t81 @t83))) % 0.30/0.61 (step @p45 :rule aci_norm :args ((= (or (or @t28 @t36) @t93) (or @t28 @t36 @t93)))) % 0.30/0.61 (step @p46 :rule refl :args (@t93)) % 0.30/0.61 (step @p47 :rule bool-double-not-elim :args (@t36)) % 0.30/0.61 (step @p48 :rule bool-double-not-elim :args (@t28)) % 0.30/0.61 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t95 @t94))) % 0.30/0.61 (step @p50 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 0.30/0.61 (step @p51 :rule trans :premises (@p50 @p49)) % 0.30/0.61 (step @p52 :rule nary_cong :premises (@p51 @p46) :args ((or (not @t39) @t93))) % 0.30/0.61 (step @p53 :rule trans :premises (@p52 @p45)) % 0.30/0.61 (step @p54 :rule bool-impl-elim :args (@t39 @t93)) % 0.30/0.61 (step @p55 :rule trans :premises (@p54 @p53)) % 0.30/0.61 (step @p56 :rule aci_norm :args ((= (or (or @t38 @t36) @t96) (or @t38 @t36 @t96)))) % 0.30/0.61 (step @p57 :rule refl :args (@t96)) % 0.30/0.61 (step @p58 :rule refl :args (@t38)) % 0.30/0.61 (step @p59 :rule nary_cong :premises (@p58 @p47) :args ((or @t38 @t94))) % 0.30/0.61 (step @p60 :rule bool-and-de-morgan :args (@t28 @t37 true)) % 0.30/0.61 (step @p61 :rule trans :premises (@p60 @p59)) % 0.30/0.61 (step @p62 :rule nary_cong :premises (@p61 @p57) :args ((or (not @t41) @t96))) % 0.30/0.61 (step @p63 :rule trans :premises (@p62 @p56)) % 0.30/0.61 (step @p64 :rule bool-impl-elim :args (@t41 @t96)) % 0.30/0.61 (step @p65 :rule trans :premises (@p64 @p63)) % 0.30/0.61 (step @p66 :rule aci_norm :args ((= (or (or @t28 @t37) @t97) (or @t28 @t37 @t97)))) % 0.30/0.61 (step @p67 :rule refl :args (@t97)) % 0.30/0.61 (step @p68 :rule refl :args (@t37)) % 0.30/0.61 (step @p69 :rule nary_cong :premises (@p48 @p68) :args ((or @t95 @t37))) % 0.30/0.61 (step @p70 :rule bool-and-de-morgan :args (@t38 @t36 true)) % 0.30/0.61 (step @p71 :rule trans :premises (@p70 @p69)) % 0.30/0.61 (step @p72 :rule nary_cong :premises (@p71 @p67) :args ((or (not @t43) @t97))) % 0.30/0.61 (step @p73 :rule trans :premises (@p72 @p66)) % 0.30/0.61 (step @p74 :rule bool-impl-elim :args (@t43 @t97)) % 0.30/0.61 (step @p75 :rule trans :premises (@p74 @p73)) % 0.30/0.61 (step @p76 :rule aci_norm :args ((= (or (or @t38 @t37) @t98) (or @t38 @t37 @t98)))) % 0.30/0.61 (step @p77 :rule refl :args (@t98)) % 0.30/0.61 (step @p78 :rule bool-and-de-morgan :args (@t28 @t36 true)) % 0.30/0.61 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or (not @t45) @t98))) % 0.30/0.61 (step @p80 :rule trans :premises (@p79 @p76)) % 0.30/0.61 (step @p81 :rule bool-impl-elim :args (@t45 @t98)) % 0.30/0.61 (step @p82 :rule trans :premises (@p81 @p80)) % 0.30/0.61 (step @p83 :rule nary_cong :premises (@p82 @p75 @p65 @p55) :args (@t99)) % 0.30/0.61 (step @p84 :rule refl :args (@t16)) % 0.30/0.61 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t16 @t99))) % 0.30/0.61 (step @p86 :rule refl :args (@t99)) % 0.30/0.61 (step @p87 :rule bool-double-not-elim :args (@t16)) % 0.30/0.61 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or (not @t17) @t99))) % 0.30/0.61 (step @p89 :rule bool-impl-elim :args (@t17 @t99)) % 0.30/0.61 (step @p90 :rule trans :premises (@p89 @p88)) % 0.30/0.61 (step @p91 :rule trans :premises (@p90 @p85)) % 0.30/0.61 (step @p92 :rule bool-impl-elim :args (@t16 @t100)) % 0.30/0.61 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t101)) % 0.30/0.61 (step @p94 :rule refl :args (@t102)) % 0.30/0.61 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t102 @t101))) % 0.30/0.61 (step @p96 :rule bool-impl-elim :args (@t21 @t101)) % 0.30/0.61 (step @p97 :rule trans :premises (@p96 @p95)) % 0.30/0.61 (step @p98 :rule cong :premises (@p97) :args ((forall @t32 (=> @t21 @t101)))) % 0.30/0.61 (step @p99 :rule eq-symm :args (@t35 tptp.high)) % 0.30/0.61 (step @p100 :rule refl :args (@t39)) % 0.30/0.61 (step @p101 :rule cong :premises (@p100 @p99) :args (@t40)) % 0.30/0.61 (step @p102 :rule eq-symm :args (@t35 tptp.mod2)) % 0.30/0.61 (step @p103 :rule refl :args (@t41)) % 0.30/0.61 (step @p104 :rule cong :premises (@p103 @p102) :args (@t42)) % 0.30/0.61 (step @p105 :rule eq-symm :args (@t35 tptp.mod1)) % 0.30/0.61 (step @p106 :rule refl :args (@t43)) % 0.30/0.61 (step @p107 :rule cong :premises (@p106 @p105) :args (@t44)) % 0.30/0.61 (step @p108 :rule eq-symm :args (@t35 tptp.low)) % 0.30/0.61 (step @p109 :rule refl :args (@t45)) % 0.30/0.61 (step @p110 :rule cong :premises (@p109 @p108) :args (@t46)) % 0.30/0.61 (step @p111 :rule nary_cong :premises (@p110 @p107 @p104 @p101) :args (@t47)) % 0.30/0.61 (step @p112 :rule refl :args (@t17)) % 0.30/0.61 (step @p113 :rule cong :premises (@p112 @p111) :args (@t48)) % 0.30/0.61 (step @p114 :rule eq-symm :args (@t35 tptp.very_low)) % 0.30/0.61 (step @p115 :rule refl :args (@t16)) % 0.30/0.61 (step @p116 :rule cong :premises (@p115 @p114) :args (@t49)) % 0.30/0.61 (step @p117 :rule nary_cong :premises (@p116 @p113) :args (@t50)) % 0.30/0.61 (step @p118 :rule refl :args (@t21)) % 0.30/0.61 (step @p119 :rule cong :premises (@p118 @p117) :args (@t51)) % 0.30/0.61 (step @p120 :rule cong :premises (@p119) :args (@t52)) % 0.30/0.61 (step @p121 :rule trans :premises (@p120 @p98)) % 0.30/0.61 (step @p122 :rule eq_resolve :premises (@p11 @p121)) % 0.30/0.61 (step @p123 :rule instantiate :premises (@p122) :args ((@list @t116 @t115))) % 0.30/0.61 (step @p124 :rule quant-miniscope-or :args ((= (forall @t77 @t120) (or @t119 @t118 @t117 @t114)))) % 0.30/0.61 (step @p125 :rule aci_norm :args ((= @t121 @t120))) % 0.30/0.61 (step @p126 :rule cong :premises (@p125) :args ((forall @t77 @t121))) % 0.30/0.61 (step @p127 :rule trans :premises (@p126 @p124)) % 0.30/0.61 (step @p128 :rule aci_norm :args ((= (or (or @t102 @t112 @t111 @t110 @t119 @t118 @t117 @t108 @t107 @t106 @t105 @t104 @t103) @t60) @t121))) % 0.30/0.61 (step @p129 :rule refl :args (@t60)) % 0.30/0.61 (step @p130 :rule refl :args (@t103)) % 0.30/0.61 (step @p131 :rule refl :args (@t104)) % 0.30/0.61 (step @p132 :rule refl :args (@t105)) % 0.30/0.61 (step @p133 :rule refl :args (@t106)) % 0.30/0.61 (step @p134 :rule refl :args (@t107)) % 0.30/0.61 (step @p135 :rule refl :args (@t108)) % 0.30/0.61 (step @p136 :rule refl :args (@t117)) % 0.30/0.61 (step @p137 :rule refl :args (@t118)) % 0.30/0.61 (step @p138 :rule refl :args (@t119)) % 0.30/0.61 (step @p139 :rule refl :args (@t110)) % 0.30/0.61 (step @p140 :rule refl :args (@t111)) % 0.30/0.61 (step @p141 :rule bool-or-de-morgan :args (@t73 @t72 false)) % 0.30/0.61 (step @p142 :rule nary_cong :premises (@p94 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p133 @p132 @p131 @p130) :args (@t123)) % 0.30/0.61 (step @p143 :rule aci_norm :args ((= (or @t102 (or @t122 (or @t111 (or @t110 (or @t119 (or @t118 (or @t117 (or @t108 (or @t107 (or @t106 (or @t105 (or @t104 @t103)))))))))))) @t123))) % 0.30/0.61 (step @p144 :rule bool-and-de-morgan :args (@t63 @t62 true)) % 0.30/0.61 (step @p145 :rule nary_cong :premises (@p132 @p144) :args ((or @t105 (not (and @t63 @t62))))) % 0.30/0.61 (step @p146 :rule bool-and-de-morgan :args (@t64 @t63 (and @t62))) % 0.30/0.61 (step @p147 :rule trans :premises (@p146 @p145)) % 0.30/0.61 (step @p148 :rule nary_cong :premises (@p133 @p147) :args ((or @t106 (not (and @t64 @t63 @t62))))) % 0.30/0.61 (step @p149 :rule bool-and-de-morgan :args (@t66 @t64 (and @t63 @t62))) % 0.30/0.61 (step @p150 :rule trans :premises (@p149 @p148)) % 0.30/0.61 (step @p151 :rule nary_cong :premises (@p134 @p150) :args ((or @t107 (not (and @t66 @t64 @t63 @t62))))) % 0.30/0.61 (step @p152 :rule bool-and-de-morgan :args (@t67 @t66 (and @t64 @t63 @t62))) % 0.30/0.61 (step @p153 :rule trans :premises (@p152 @p151)) % 0.30/0.61 (step @p154 :rule nary_cong :premises (@p135 @p153) :args ((or @t108 (not (and @t67 @t66 @t64 @t63 @t62))))) % 0.30/0.61 (step @p155 :rule bool-and-de-morgan :args (@t68 @t67 (and @t66 @t64 @t63 @t62))) % 0.30/0.61 (step @p156 :rule trans :premises (@p155 @p154)) % 0.30/0.61 (step @p157 :rule nary_cong :premises (@p136 @p156) :args ((or @t117 (not (and @t68 @t67 @t66 @t64 @t63 @t62))))) % 0.30/0.61 (step @p158 :rule bool-and-de-morgan :args (@t69 @t68 (and @t67 @t66 @t64 @t63 @t62))) % 0.30/0.61 (step @p159 :rule trans :premises (@p158 @p157)) % 0.30/0.61 (step @p160 :rule nary_cong :premises (@p137 @p159) :args ((or @t118 (not (and @t69 @t68 @t67 @t66 @t64 @t63 @t62))))) % 0.30/0.61 (step @p161 :rule bool-and-de-morgan :args (@t70 @t69 (and @t68 @t67 @t66 @t64 @t63 @t62))) % 0.30/0.61 (step @p162 :rule trans :premises (@p161 @p160)) % 0.30/0.61 (step @p163 :rule nary_cong :premises (@p138 @p162) :args ((or @t119 (not (and @t70 @t69 @t68 @t67 @t66 @t64 @t63 @t62))))) % 0.30/0.61 (step @p164 :rule bool-and-de-morgan :args (@t71 @t70 (and @t69 @t68 @t67 @t66 @t64 @t63 @t62))) % 0.30/0.61 (step @p165 :rule trans :premises (@p164 @p163)) % 0.30/0.61 (step @p166 :rule nary_cong :premises (@p139 @p165) :args ((or @t110 (not (and @t71 @t70 @t69 @t68 @t67 @t66 @t64 @t63 @t62))))) % 0.30/0.61 (step @p167 :rule bool-and-de-morgan :args (@t109 @t71 (and @t70 @t69 @t68 @t67 @t66 @t64 @t63 @t62))) % 0.30/0.61 (step @p168 :rule trans :premises (@p167 @p166)) % 0.30/0.61 (step @p169 :rule nary_cong :premises (@p140 @p168) :args ((or @t111 (not (and @t109 @t71 @t70 @t69 @t68 @t67 @t66 @t64 @t63 @t62))))) % 0.30/0.61 (step @p170 :rule bool-and-de-morgan :args (@t25 @t109 (and @t71 @t70 @t69 @t68 @t67 @t66 @t64 @t63 @t62))) % 0.30/0.61 (step @p171 :rule trans :premises (@p170 @p169)) % 0.30/0.61 (step @p172 :rule refl :args (@t122)) % 0.30/0.61 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or @t122 (not (and @t25 @t109 @t71 @t70 @t69 @t68 @t67 @t66 @t64 @t63 @t62))))) % 0.30/0.61 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:premises (@p413 @p207) :args (@t135 @t147 @t148)) % 0.30/0.62 (step @p415 :rule cnf_or_pos :args (@t237)) % 0.30/0.62 (step @p416 :rule reordering :premises (@p415) :args ((or @t136 @t234 (not @t237)))) % 0.30/0.62 (step @p417 :rule chain_m_resolution :premises (@p416 @p414 @p408) :args (@t234 @t92 (@list @t135 @t237))) % 0.30/0.62 (step @p418 :rule cnf_or_pos :args (@t233)) % 0.30/0.62 (step @p419 :rule reordering :premises (@p418) :args ((or @t232 @t231 (not @t233)))) % 0.30/0.62 (step @p420 :rule chain_m_resolution :premises (@p419 @p417 @p404) :args (@t231 @t200 (@list @t232 @t233))) % 0.30/0.62 (step @p421 :rule cnf_and_pos :args (@t231 0)) % 0.30/0.62 (step @p422 :rule reordering :premises (@p421) :args ((or @t230 @t238))) % 0.30/0.62 (step @p423 :rule chain_m_resolution :premises (@p422 @p420) :args (@t230 @t84 @t239)) % 0.30/0.62 (assume-push @p584 @t183) % 0.30/0.62 (assume-push @p585 @t154) % 0.30/0.62 (step-pop @p586 :rule scope :premises (@p332)) % 0.30/0.62 (step-pop @p587 :rule scope :premises (@p586)) % 0.30/0.62 (step @p426 :rule process_scope :premises (@p587) :args (@t129)) % 0.30/0.62 (step @p429 :rule implies_elim :premises (@p426)) % 0.30/0.62 (step @p430 :rule cnf_and_neg :args (@t240)) % 0.30/0.62 (step @p431 :rule resolution :premises (@p430 @p429) :args (true @t240)) % 0.30/0.62 (step @p432 :rule reordering :premises (@p431) :args ((or @t129 (not @t183) @t215))) % 0.30/0.62 (assume-push @p588 @t55) % 0.30/0.62 (assume-push @p589 @t154) % 0.30/0.62 (assume-push @p590 @t229) % 0.30/0.62 (assume-push @p591 @t55) % 0.30/0.62 (assume-push @p592 @t229) % 0.30/0.62 (assume-push @p593 @t154) % 0.30/0.62 (step @p439 :rule true_intro :premises (@p14)) % 0.30/0.62 (step @p440 :rule symm :premises (@p590)) % 0.30/0.62 (step @p441 :rule cong :premises (@p440 @p331) :args (@t132)) % 0.30/0.62 (step @p442 :rule trans :premises (@p441 @p439)) % 0.30/0.62 (step @p443 :rule true_elim :premises (@p442)) % 0.30/0.62 (step-pop @p594 :rule scope :premises (@p443)) % 0.30/0.62 (step-pop @p595 :rule scope :premises (@p594)) % 0.30/0.62 (step-pop @p596 :rule scope :premises (@p595)) % 0.30/0.62 (step @p444 :rule process_scope :premises (@p596) :args (@t132)) % 0.30/0.62 (step @p448 :rule and_intro :premises (@p14 @p590 @p261)) % 0.30/0.62 (step @p449 :rule modus_ponens :premises (@p448 @p444)) % 0.30/0.62 (step-pop @p597 :rule scope :premises (@p449)) % 0.30/0.62 (step-pop @p598 :rule scope :premises (@p597)) % 0.30/0.62 (step-pop @p599 :rule scope :premises (@p598)) % 0.30/0.62 (step @p450 :rule process_scope :premises (@p599) :args (@t132)) % 0.30/0.62 (step @p454 :rule implies_elim :premises (@p450)) % 0.30/0.62 (step @p455 :rule cnf_and_neg :args (@t241)) % 0.30/0.62 (step @p456 :rule resolution :premises (@p455 @p454) :args (true @t241)) % 0.30/0.62 (step @p457 :rule reordering :premises (@p456) :args ((or @t88 @t132 @t215 @t242))) % 0.30/0.62 (step @p458 :rule chain_m_resolution :premises (@p335 @p334 @p457 @p14 @p432 @p330) :args ((or @t215 @t242) (@list true false false false false) (@list @t133 @t132 @t55 @t129 @t183))) % 0.30/0.62 (step @p459 :rule chain_m_resolution :premises (@p458 @p261) :args (@t242 @t84 (@list @t154))) % 0.30/0.62 (step @p460 :rule cnf_or_pos :args (@t230)) % 0.30/0.62 (step @p461 :rule reordering :premises (@p460) :args ((or @t224 @t227 @t229 (not @t230)))) % 0.30/0.62 (step @p462 :rule cnf_and_pos :args (@t231 1)) % 0.30/0.62 (step @p463 :rule reordering :premises (@p462) :args ((or @t228 @t238))) % 0.30/0.62 (step @p464 :rule chain_m_resolution :premises (@p463 @p420) :args (@t228 @t84 @t239)) % 0.30/0.62 (step @p465 :rule eq-symm :args (@t243 @t206)) % 0.30/0.62 (step @p466 :rule cong :premises (@p20 @p465) :args ((=> @t9 @t244))) % 0.30/0.62 (assume-push @p600 @t9) % 0.30/0.62 (step @p468 :rule instantiate :premises (@p3) :args ((@list tptp.very_low tptp.mod1))) % 0.30/0.62 (step-pop @p601 :rule scope :premises (@p468)) % 0.30/0.62 (step @p469 :rule process_scope :premises (@p601) :args (@t244)) % 0.30/0.62 (step @p471 :rule eq_resolve :premises (@p469 @p466)) % 0.30/0.62 (step @p472 :rule implies_elim :premises (@p471)) % 0.30/0.62 (step @p473 :rule chain_m_resolution :premises (@p472 @p3) :args (@t245 @t84 @t85)) % 0.30/0.62 (step @p474 :rule cnf_equiv_pos1 :args (@t245)) % 0.30/0.62 (step @p475 :rule reordering :premises (@p474) :args ((or @t209 @t243 (not @t245)))) % 0.30/0.62 (step @p476 :rule chain_m_resolution :premises (@p475 @p353 @p473) :args (@t243 @t92 (@list @t206 @t245))) % 0.30/0.62 (step @p477 :rule refl :args (@t246)) % 0.30/0.62 (step @p478 :rule refl :args (@t247)) % 0.30/0.62 (step @p479 :rule nary_cong :premises (@p363 @p478 @p361 @p477) :args ((or @t215 @t247 @t216 @t246))) % 0.30/0.62 (assume-push @p602 @t243) % 0.30/0.62 (assume-push @p603 @t154) % 0.30/0.62 (assume-push @p604 @t226) % 0.30/0.62 (assume-push @p605 @t201) % 0.30/0.62 (step @p369 :rule evaluate :args (@t217)) % 0.30/0.62 (step @p484 :rule true_intro :premises (@p476)) % 0.30/0.62 (step @p485 :rule symm :premises (@p604)) % 0.30/0.62 (step @p486 :rule cong :premises (@p331 @p485) :args (@t175)) % 0.30/0.62 (step @p373 :rule false_intro :premises (@p339)) % 0.30/0.62 (step @p374 :rule symm :premises (@p373)) % 0.30/0.62 (step @p487 :rule trans :premises (@p374 @p486 @p484)) % 0.30/0.62 (step @p488 false :rule eq_resolve :premises (@p487 @p369)) % 0.30/0.62 (step-pop @p606 :rule scope :premises (@p488)) % 0.30/0.62 (step-pop @p607 :rule scope :premises (@p606)) % 0.30/0.62 (step-pop @p608 :rule scope :premises (@p607)) % 0.30/0.62 (step-pop @p609 :rule scope :premises (@p608)) % 0.30/0.62 (step @p489 :rule process_scope :premises (@p609) :args (false)) % 0.30/0.62 (assume-push @p610 @t154) % 0.30/0.62 (assume-push @p611 @t226) % 0.30/0.62 (assume-push @p612 @t201) % 0.30/0.62 (assume-push @p613 @t243) % 0.30/0.62 (step @p498 :rule and_intro :premises (@p476 @p261 @p611 @p339)) % 0.30/0.62 (step-pop @p614 :rule scope :premises (@p498)) % 0.30/0.62 (step-pop @p615 :rule scope :premises (@p614)) % 0.30/0.62 (step-pop @p616 :rule scope :premises (@p615)) % 0.30/0.62 (step-pop @p617 :rule scope :premises (@p616)) % 0.30/0.62 (step @p499 :rule process_scope :premises (@p617) :args (@t248)) % 0.30/0.62 (step @p504 :rule implies_elim :premises (@p499)) % 0.30/0.62 (step @p505 :rule resolution :premises (@p504 @p489) :args (true @t248)) % 0.30/0.62 (step @p506 :rule not_and :premises (@p505)) % 0.30/0.62 (step @p507 :rule eq_resolve :premises (@p506 @p479)) % 0.30/0.62 (step @p508 :rule reordering :premises (@p507) :args ((or @t175 @t215 @t247 @t246))) % 0.30/0.62 (step @p509 :rule chain_m_resolution :premises (@p508 @p339 @p261 @p476) :args (@t247 @t219 (@list @t175 @t154 @t243))) % 0.30/0.62 (step @p510 :rule cnf_or_pos :args (@t228)) % 0.30/0.62 (step @p511 :rule reordering :premises (@p510) :args ((or @t221 @t227 @t226 (not @t228)))) % 0.30/0.62 (step @p512 :rule chain_m_resolution :premises (@p511 @p509 @p464 @p461 @p459 @p423) :args (@t227 (@list true false true true false) (@list @t226 @t228 @t221 @t229 @t230))) % 0.30/0.62 (step @p513 :rule cnf_and_pos :args (@t231 2)) % 0.30/0.62 (step @p514 :rule reordering :premises (@p513) :args ((or @t225 @t238))) % 0.30/0.62 (step @p515 :rule chain_m_resolution :premises (@p514 @p420) :args (@t225 @t84 @t239)) % 0.30/0.62 (step @p516 :rule cnf_or_pos :args (@t225)) % 0.30/0.62 (step @p517 :rule reordering :premises (@p516) :args ((or @t224 @t220 @t223 (not @t225)))) % 0.30/0.62 (step @p518 :rule cnf_and_pos :args (@t231 3)) % 0.30/0.62 (step @p519 :rule reordering :premises (@p518) :args ((or @t222 @t238))) % 0.30/0.62 (step @p520 :rule chain_m_resolution :premises (@p519 @p420) :args (@t222 @t84 @t239)) % 0.30/0.62 (step @p521 :rule cnf_or_pos :args (@t222)) % 0.30/0.62 (step @p522 :rule reordering :premises (@p521) :args ((or @t221 @t220 @t213 (not @t222)))) % 0.30/0.62 (step @p523 :rule chain_m_resolution :premises (@p522 @p520 @p517 @p515) :args ((or @t220 @t223 @t213) (@list false true false) (@list @t222 @t221 @t225))) % 0.30/0.62 (step @p524 :rule chain_m_resolution :premises (@p523 @p512 @p397) :args (@t223 (@list true true) (@list @t220 @t213))) % 0.30/0.62 (step @p525 :rule refl :args (@t249)) % 0.30/0.62 (step @p526 :rule refl :args (@t250)) % 0.30/0.62 (step @p527 :rule nary_cong :premises (@p363 @p526 @p361 @p525) :args ((or @t215 @t250 @t216 @t249))) % 0.30/0.62 (assume-push @p618 @t80) % 0.30/0.62 (assume-push @p619 @t154) % 0.30/0.62 (assume-push @p620 @t223) % 0.30/0.62 (assume-push @p621 @t201) % 0.30/0.62 (step @p369 :rule evaluate :args (@t217)) % 0.30/0.62 (step @p532 :rule true_intro :premises (@p44)) % 0.30/0.62 (step @p533 :rule symm :premises (@p620)) % 0.30/0.62 (step @p534 :rule cong :premises (@p331 @p533) :args (@t175)) % 0.30/0.62 (step @p373 :rule false_intro :premises (@p339)) % 0.30/0.62 (step @p374 :rule symm :premises (@p373)) % 0.30/0.62 (step @p535 :rule trans :premises (@p374 @p534 @p532)) % 0.30/0.62 (step @p536 false :rule eq_resolve :premises (@p535 @p369)) % 0.30/0.62 (step-pop @p622 :rule scope :premises (@p536)) % 0.30/0.62 (step-pop @p623 :rule scope :premises (@p622)) % 0.30/0.62 (step-pop @p624 :rule scope :premises (@p623)) % 0.30/0.62 (step-pop @p625 :rule scope :premises (@p624)) % 0.30/0.62 (step @p537 :rule process_scope :premises (@p625) :args (false)) % 0.30/0.62 (assume-push @p626 @t154) % 0.30/0.62 (assume-push @p627 @t223) % 0.30/0.62 (assume-push @p628 @t201) % 0.30/0.62 (assume-push @p629 @t80) % 0.30/0.62 (step @p546 :rule and_intro :premises (@p44 @p261 @p627 @p339)) % 0.30/0.62 (step-pop @p630 :rule scope :premises (@p546)) % 0.30/0.62 (step-pop @p631 :rule scope :premises (@p630)) % 0.30/0.62 (step-pop @p632 :rule scope :premises (@p631)) % 0.30/0.62 (step-pop @p633 :rule scope :premises (@p632)) % 0.30/0.62 (step @p547 :rule process_scope :premises (@p633) :args (@t251)) % 0.30/0.62 (step @p552 :rule implies_elim :premises (@p547)) % 0.30/0.62 (step @p553 :rule resolution :premises (@p552 @p537) :args (true @t251)) % 0.30/0.62 (step @p554 :rule not_and :premises (@p553)) % 0.30/0.62 (step @p555 :rule eq_resolve :premises (@p554 @p527)) % 0.30/0.62 (step @p556 :rule reordering :premises (@p555) :args ((or @t175 @t215 @t250 @t249))) % 0.30/0.62 (step @p557 false :rule chain_m_resolution :premises (@p556 @p524 @p339 @p261 @p44) :args (false (@list false true false false) (@list @t223 @t175 @t154 @t80))) % 0.30/0.62 ) % 0.30/0.62 % SZS output end Proof % 0.30/0.62 % cvc5 exiting %------------------------------------------------------------------------------