%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT050+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 : n017.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 06:04:52 AM UTC 2026 % Result : Theorem 0.28s 0.57s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT050+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.36 % Computer : n017.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Mon Sep 7 13:12:54 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.57 % SZS status Theorem % 0.28/0.57 % SZS output start Proof % 0.28/0.57 ( % 0.28/0.57 (declare-sort $$unsorted 0) % 0.28/0.57 (declare-const tptp.age (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.57 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.28/0.57 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.28/0.57 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.28/0.57 (declare-const tptp.has_immunity (-> $$unsorted $$unsorted Bool)) % 0.28/0.57 (declare-const tptp.position (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.57 (declare-const tptp.external_ties (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.57 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.28/0.57 (declare-const tptp.has_endowment (-> $$unsorted Bool)) % 0.28/0.57 (declare-const tptp.capability (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.57 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.28/0.57 (declare-const tptp.internal_friction (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.57 (declare-const tptp.hazard_of_mortality (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.57 (declare-const tptp.stock_of_knowledge (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.57 (define @t1 () (@var "Y" $$unsorted)) % 0.28/0.57 (define @t2 () (@var "X" $$unsorted)) % 0.28/0.57 (define @t3 () (= @t2 @t1)) % 0.28/0.57 (define @t4 () (tptp.smaller @t2 @t1)) % 0.28/0.57 (define @t5 () (@list @t2 @t1)) % 0.28/0.57 (define @t6 () (tptp.greater @t2 @t1)) % 0.28/0.57 (define @t7 () (tptp.greater @t1 @t2)) % 0.28/0.57 (define @t8 () (forall @t5 (= @t4 @t7))) % 0.28/0.57 (define @t9 () (@var "Z" $$unsorted)) % 0.28/0.57 (define @t10 () (@var "T" $$unsorted)) % 0.28/0.57 (define @t11 () (tptp.has_immunity @t2 @t10)) % 0.28/0.57 (define @t12 () (not @t11)) % 0.28/0.57 (define @t13 () (tptp.has_endowment @t2)) % 0.28/0.57 (define @t14 () (not @t13)) % 0.28/0.57 (define @t15 () (tptp.organization @t2)) % 0.28/0.57 (define @t16 () (and @t15 @t14)) % 0.28/0.57 (define @t17 () (forall (@list @t2 @t10) (=> @t16 @t12))) % 0.28/0.57 (define @t18 () (@var "T0" $$unsorted)) % 0.28/0.57 (define @t19 () (tptp.hazard_of_mortality @t2 @t18)) % 0.28/0.57 (define @t20 () (tptp.hazard_of_mortality @t2 @t10)) % 0.28/0.57 (define @t21 () (tptp.position @t2 @t18)) % 0.28/0.57 (define @t22 () (tptp.position @t2 @t10)) % 0.28/0.57 (define @t23 () (= @t22 @t21)) % 0.28/0.57 (define @t24 () (tptp.capability @t2 @t18)) % 0.28/0.57 (define @t25 () (tptp.capability @t2 @t10)) % 0.28/0.57 (define @t26 () (= @t25 @t24)) % 0.28/0.57 (define @t27 () (and @t26 @t23)) % 0.28/0.57 (define @t28 () (=> @t27 (= @t20 @t19))) % 0.28/0.57 (define @t29 () (tptp.smaller @t20 @t19)) % 0.28/0.57 (define @t30 () (tptp.greater @t22 @t21)) % 0.28/0.57 (define @t31 () (tptp.greater_or_equal @t25 @t24)) % 0.28/0.57 (define @t32 () (and @t31 @t30)) % 0.28/0.57 (define @t33 () (=> @t32 @t29)) % 0.28/0.57 (define @t34 () (tptp.greater_or_equal @t22 @t21)) % 0.28/0.57 (define @t35 () (tptp.greater @t25 @t24)) % 0.28/0.57 (define @t36 () (and @t35 @t34)) % 0.28/0.57 (define @t37 () (=> @t36 @t29)) % 0.28/0.57 (define @t38 () (and @t37 @t33 @t28)) % 0.28/0.57 (define @t39 () (tptp.has_immunity @t2 @t18)) % 0.28/0.57 (define @t40 () (not @t39)) % 0.28/0.57 (define @t41 () (and @t15 @t40 @t12)) % 0.28/0.57 (define @t42 () (=> @t41 @t38)) % 0.28/0.57 (define @t43 () (@list @t2 @t18 @t10)) % 0.28/0.57 (define @t44 () (forall @t43 @t42)) % 0.28/0.57 (define @t45 () (tptp.internal_friction @t2 @t18)) % 0.28/0.57 (define @t46 () (tptp.internal_friction @t2 @t10)) % 0.28/0.57 (define @t47 () (tptp.stock_of_knowledge @t2 @t18)) % 0.28/0.57 (define @t48 () (tptp.stock_of_knowledge @t2 @t10)) % 0.28/0.57 (define @t49 () (= @t48 @t47)) % 0.28/0.57 (define @t50 () (and @t49 (= @t46 @t45))) % 0.28/0.57 (define @t51 () (=> @t50 @t26)) % 0.28/0.57 (define @t52 () (tptp.smaller @t25 @t24)) % 0.28/0.57 (define @t53 () (tptp.greater @t46 @t45)) % 0.28/0.57 (define @t54 () (tptp.smaller_or_equal @t48 @t47)) % 0.28/0.57 (define @t55 () (and @t54 @t53)) % 0.28/0.57 (define @t56 () (=> @t55 @t52)) % 0.28/0.57 (define @t57 () (tptp.smaller_or_equal @t46 @t45)) % 0.28/0.57 (define @t58 () (tptp.greater @t48 @t47)) % 0.28/0.57 (define @t59 () (and @t58 @t57)) % 0.28/0.57 (define @t60 () (=> @t59 @t35)) % 0.28/0.57 (define @t61 () (and @t60 @t56 @t51)) % 0.28/0.57 (define @t62 () (=> @t15 @t61)) % 0.28/0.57 (define @t63 () (forall @t43 @t62)) % 0.28/0.57 (define @t64 () (tptp.external_ties @t2 @t18)) % 0.28/0.57 (define @t65 () (tptp.external_ties @t2 @t10)) % 0.28/0.57 (define @t66 () (= @t65 @t64)) % 0.28/0.57 (define @t67 () (=> @t66 @t23)) % 0.28/0.57 (define @t68 () (tptp.greater @t65 @t64)) % 0.28/0.57 (define @t69 () (=> @t68 @t30)) % 0.28/0.57 (define @t70 () (and @t69 @t67)) % 0.28/0.57 (define @t71 () (=> @t15 @t70)) % 0.28/0.57 (define @t72 () (forall @t43 @t71)) % 0.28/0.57 (define @t73 () (=> @t15 @t49)) % 0.28/0.57 (define @t74 () (forall @t43 @t73)) % 0.28/0.57 (define @t75 () (=> @t15 @t66)) % 0.28/0.57 (define @t76 () (forall @t43 @t75)) % 0.28/0.57 (define @t77 () (tptp.greater (tptp.age @t2 @t10) (tptp.age @t2 @t18))) % 0.28/0.57 (define @t78 () (and @t15 @t77)) % 0.28/0.57 (define @t79 () (forall @t43 (=> @t78 @t53))) % 0.28/0.57 (define @t80 () (tptp.greater @t20 @t19)) % 0.28/0.57 (define @t81 () (and @t15 @t14 @t77)) % 0.28/0.57 (define @t82 () (forall @t43 (=> @t81 @t80))) % 0.28/0.57 (define @t83 () (not @t82)) % 0.28/0.57 (define @t84 () (= @t19 @t20)) % 0.28/0.57 (define @t85 () (= @t21 @t22)) % 0.28/0.57 (define @t86 () (not @t85)) % 0.28/0.57 (define @t87 () (= @t24 @t25)) % 0.28/0.57 (define @t88 () (not @t87)) % 0.28/0.57 (define @t89 () (or @t88 @t86 @t84)) % 0.28/0.57 (define @t90 () (not @t30)) % 0.28/0.57 (define @t91 () (not @t31)) % 0.28/0.57 (define @t92 () (or @t91 @t90 @t29)) % 0.28/0.57 (define @t93 () (not @t34)) % 0.28/0.57 (define @t94 () (not @t35)) % 0.28/0.57 (define @t95 () (or @t94 @t93 @t29)) % 0.28/0.57 (define @t96 () (and @t95 @t92 @t89)) % 0.28/0.57 (define @t97 () (not @t15)) % 0.28/0.57 (define @t98 () (and @t87 @t85)) % 0.28/0.57 (define @t99 () (and @t37 @t33 (=> @t98 @t84))) % 0.28/0.57 (define @t100 () (not @t12)) % 0.28/0.57 (define @t101 () (not @t40)) % 0.28/0.57 (define @t102 () (or @t97 @t101 @t100)) % 0.28/0.57 (define @t103 () (not @t77)) % 0.28/0.57 (define @t104 () (or @t97 @t13 @t103 @t80)) % 0.28/0.57 (define @t105 () (forall @t43 @t104)) % 0.28/0.57 (define @t106 () (@quantifiers_skolemize @t105 1)) % 0.28/0.57 (define @t107 () (@quantifiers_skolemize @t105 2)) % 0.28/0.57 (define @t108 () (@quantifiers_skolemize @t105 0)) % 0.28/0.57 (define @t109 () (@list @t108 @t107 @t106)) % 0.28/0.57 (define @t110 () (not @t14)) % 0.28/0.57 (define @t111 () (or @t97 @t110 @t103)) % 0.28/0.57 (define @t112 () (tptp.hazard_of_mortality @t108 @t106)) % 0.28/0.57 (define @t113 () (tptp.hazard_of_mortality @t108 @t107)) % 0.28/0.57 (define @t114 () (tptp.greater @t113 @t112)) % 0.28/0.57 (define @t115 () (tptp.greater (tptp.age @t108 @t107) (tptp.age @t108 @t106))) % 0.28/0.57 (define @t116 () (not @t115)) % 0.28/0.57 (define @t117 () (tptp.has_endowment @t108)) % 0.28/0.57 (define @t118 () (tptp.organization @t108)) % 0.28/0.57 (define @t119 () (not @t118)) % 0.28/0.57 (define @t120 () (or @t119 @t117 @t116 @t114)) % 0.28/0.57 (define @t121 () (@list true)) % 0.28/0.57 (define @t122 () (@list @t120)) % 0.28/0.57 (define @t123 () (tptp.has_immunity @t108 @t106)) % 0.28/0.57 (define @t124 () (not @t123)) % 0.28/0.57 (define @t125 () (or @t119 @t117 @t124)) % 0.28/0.57 (define @t126 () (@list false true false)) % 0.28/0.57 (define @t127 () (tptp.has_immunity @t108 @t107)) % 0.28/0.57 (define @t128 () (not @t127)) % 0.28/0.57 (define @t129 () (or @t119 @t117 @t128)) % 0.28/0.57 (define @t130 () (tptp.position @t108 @t106)) % 0.28/0.57 (define @t131 () (tptp.position @t108 @t107)) % 0.28/0.57 (define @t132 () (= @t131 @t130)) % 0.28/0.57 (define @t133 () (not @t132)) % 0.28/0.57 (define @t134 () (tptp.capability @t108 @t106)) % 0.28/0.57 (define @t135 () (tptp.capability @t108 @t107)) % 0.28/0.57 (define @t136 () (= @t135 @t134)) % 0.28/0.57 (define @t137 () (tptp.smaller @t112 @t113)) % 0.28/0.57 (define @t138 () (tptp.greater @t130 @t131)) % 0.28/0.57 (define @t139 () (tptp.greater_or_equal @t130 @t131)) % 0.28/0.57 (define @t140 () (not @t139)) % 0.28/0.57 (define @t141 () (tptp.greater @t134 @t135)) % 0.28/0.57 (define @t142 () (not @t141)) % 0.28/0.57 (define @t143 () (or @t142 @t140 @t137)) % 0.28/0.57 (define @t144 () (and @t143 (or (not (tptp.greater_or_equal @t134 @t135)) (not @t138) @t137) (or (not @t136) @t133 (= @t113 @t112)))) % 0.28/0.57 (define @t145 () (or @t119 @t127 @t123 @t144)) % 0.28/0.57 (define @t146 () (@list false)) % 0.28/0.57 (define @t147 () (= @t45 @t46)) % 0.28/0.57 (define @t148 () (not @t147)) % 0.28/0.57 (define @t149 () (= @t47 @t48)) % 0.28/0.57 (define @t150 () (not @t149)) % 0.28/0.57 (define @t151 () (or @t150 @t148 @t87)) % 0.28/0.57 (define @t152 () (and @t149 @t147)) % 0.28/0.57 (define @t153 () (not @t53)) % 0.28/0.57 (define @t154 () (not @t54)) % 0.28/0.57 (define @t155 () (or @t154 @t153 @t52)) % 0.28/0.57 (define @t156 () (not @t57)) % 0.28/0.57 (define @t157 () (not @t58)) % 0.28/0.57 (define @t158 () (or @t157 @t156 @t35)) % 0.28/0.57 (define @t159 () (and @t60 @t56 (=> @t152 @t87))) % 0.28/0.57 (define @t160 () (tptp.internal_friction @t108 @t106)) % 0.28/0.57 (define @t161 () (tptp.internal_friction @t108 @t107)) % 0.28/0.57 (define @t162 () (not (= @t160 @t161))) % 0.28/0.57 (define @t163 () (tptp.stock_of_knowledge @t108 @t106)) % 0.28/0.57 (define @t164 () (tptp.stock_of_knowledge @t108 @t107)) % 0.28/0.57 (define @t165 () (= @t163 @t164)) % 0.28/0.57 (define @t166 () (not @t165)) % 0.28/0.57 (define @t167 () (or @t166 @t162 (= @t134 @t135))) % 0.28/0.57 (define @t168 () (tptp.smaller @t135 @t134)) % 0.28/0.57 (define @t169 () (tptp.greater @t161 @t160)) % 0.28/0.57 (define @t170 () (not @t169)) % 0.28/0.57 (define @t171 () (tptp.smaller_or_equal @t164 @t163)) % 0.28/0.57 (define @t172 () (not @t171)) % 0.28/0.57 (define @t173 () (or @t172 @t170 @t168)) % 0.28/0.57 (define @t174 () (or (not (tptp.greater @t164 @t163)) (not (tptp.smaller_or_equal @t161 @t160)) (tptp.greater @t135 @t134))) % 0.28/0.57 (define @t175 () (and @t174 @t173 @t167)) % 0.28/0.57 (define @t176 () (or @t119 @t175)) % 0.28/0.57 (define @t177 () (forall @t43 (or @t97 (and @t158 @t155 @t151)))) % 0.28/0.57 (define @t178 () (@list @t108 @t106 @t107)) % 0.28/0.57 (define @t179 () (= @t164 @t163)) % 0.28/0.57 (define @t180 () (not @t179)) % 0.28/0.57 (define @t181 () (and @t174 @t173 (or @t180 (not (= @t161 @t160)) @t136))) % 0.28/0.57 (define @t182 () (or @t119 @t181)) % 0.28/0.57 (define @t183 () (@list false false)) % 0.28/0.57 (define @t184 () (or @t119 @t165)) % 0.28/0.57 (define @t185 () (forall @t43 (or @t97 @t149))) % 0.28/0.57 (define @t186 () (or @t119 @t179)) % 0.28/0.57 (define @t187 () (or (tptp.smaller @t164 @t163) @t179)) % 0.28/0.57 (define @t188 () (= @t171 @t187)) % 0.28/0.57 (define @t189 () (or @t119 @t116 @t169)) % 0.28/0.57 (define @t190 () (@list false false false)) % 0.28/0.57 (define @t191 () (= @t168 @t141)) % 0.28/0.57 (define @t192 () (= @t137 @t114)) % 0.28/0.57 (define @t193 () (= @t114 @t137)) % 0.28/0.57 (define @t194 () (not @t137)) % 0.28/0.57 (define @t195 () (= @t64 @t65)) % 0.28/0.57 (define @t196 () (and @t69 (=> @t195 @t85))) % 0.28/0.57 (define @t197 () (tptp.external_ties @t108 @t106)) % 0.28/0.57 (define @t198 () (tptp.external_ties @t108 @t107)) % 0.28/0.57 (define @t199 () (= @t198 @t197)) % 0.28/0.57 (define @t200 () (not @t199)) % 0.28/0.58 (define @t201 () (or @t200 @t132)) % 0.28/0.58 (define @t202 () (and (or (not (tptp.greater @t197 @t198)) @t138) @t201)) % 0.28/0.58 (define @t203 () (or @t119 @t202)) % 0.28/0.58 (define @t204 () (or @t119 @t199)) % 0.28/0.58 (define @t205 () (or (tptp.greater @t131 @t130) @t132)) % 0.28/0.58 (define @t206 () (tptp.greater_or_equal @t131 @t130)) % 0.28/0.58 (define @t207 () (= @t206 @t205)) % 0.28/0.58 (define @t208 () (not @t206)) % 0.28/0.58 (define @t209 () (and @t140 @t132)) % 0.28/0.58 (assume @p1 (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.28/0.58 (assume @p2 (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t6 @t3)))) % 0.28/0.58 (assume @p3 @t8) % 0.28/0.58 (assume @p4 (forall @t5 (not (and @t6 @t7)))) % 0.28/0.58 (assume @p5 (forall (@list @t2 @t1 @t9) (=> (and @t6 (tptp.greater @t1 @t9)) (tptp.greater @t2 @t9)))) % 0.28/0.58 (assume @p6 (forall @t5 (or @t4 @t3 @t6))) % 0.28/0.58 (assume @p7 @t17) % 0.28/0.58 (assume @p8 @t44) % 0.28/0.58 (assume @p9 @t63) % 0.28/0.58 (assume @p10 @t72) % 0.28/0.58 (assume @p11 @t74) % 0.28/0.58 (assume @p12 @t76) % 0.28/0.58 (assume @p13 @t79) % 0.28/0.58 (assume @p14 @t83) % 0.28/0.58 (assume @p15 true) % 0.28/0.58 (step @p16 :rule aci_norm :args ((= (or (or @t97 @t39 @t11) @t96) (or @t97 @t39 @t11 @t96)))) % 0.28/0.58 (step @p17 :rule aci_norm :args ((= (or (or @t88 @t86) @t84) @t89))) % 0.28/0.58 (step @p18 :rule refl :args (@t84)) % 0.28/0.58 (step @p19 :rule bool-and-de-morgan :args (@t87 @t85 true)) % 0.28/0.58 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or (not @t98) @t84))) % 0.28/0.58 (step @p21 :rule trans :premises (@p20 @p17)) % 0.28/0.58 (step @p22 :rule bool-impl-elim :args (@t98 @t84)) % 0.28/0.58 (step @p23 :rule trans :premises (@p22 @p21)) % 0.28/0.58 (step @p24 :rule aci_norm :args ((= (or (or @t91 @t90) @t29) @t92))) % 0.28/0.58 (step @p25 :rule refl :args (@t29)) % 0.28/0.58 (step @p26 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 0.28/0.58 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or (not @t32) @t29))) % 0.28/0.58 (step @p28 :rule trans :premises (@p27 @p24)) % 0.28/0.58 (step @p29 :rule bool-impl-elim :args (@t32 @t29)) % 0.28/0.58 (step @p30 :rule trans :premises (@p29 @p28)) % 0.28/0.58 (step @p31 :rule aci_norm :args ((= (or (or @t94 @t93) @t29) @t95))) % 0.28/0.58 (step @p32 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.28/0.58 (step @p33 :rule nary_cong :premises (@p32 @p25) :args ((or (not @t36) @t29))) % 0.28/0.58 (step @p34 :rule trans :premises (@p33 @p31)) % 0.28/0.58 (step @p35 :rule bool-impl-elim :args (@t36 @t29)) % 0.28/0.58 (step @p36 :rule trans :premises (@p35 @p34)) % 0.28/0.58 (step @p37 :rule nary_cong :premises (@p36 @p30 @p23) :args (@t99)) % 0.28/0.58 (step @p38 :rule bool-double-not-elim :args (@t11)) % 0.28/0.58 (step @p39 :rule bool-double-not-elim :args (@t39)) % 0.28/0.58 (step @p40 :rule refl :args (@t97)) % 0.28/0.58 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args (@t102)) % 0.28/0.58 (step @p42 :rule aci_norm :args ((= (or @t97 (or @t101 @t100)) @t102))) % 0.28/0.58 (step @p43 :rule trans :premises (@p42 @p41)) % 0.28/0.58 (step @p44 :rule bool-and-de-morgan :args (@t40 @t12 true)) % 0.28/0.58 (step @p45 :rule nary_cong :premises (@p40 @p44) :args ((or @t97 (not (and @t40 @t12))))) % 0.28/0.58 (step @p46 :rule bool-and-de-morgan :args (@t15 @t40 (and @t12))) % 0.28/0.58 (step @p47 :rule trans :premises (@p46 @p45)) % 0.28/0.58 (step @p48 :rule trans :premises (@p47 @p43)) % 0.28/0.58 (step @p49 :rule nary_cong :premises 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@t64)) % 0.28/0.58 (step @p264 :rule cong :premises (@p263 @p55) :args (@t67)) % 0.28/0.58 (step @p265 :rule refl :args (@t69)) % 0.28/0.58 (step @p266 :rule nary_cong :premises (@p265 @p264) :args (@t70)) % 0.28/0.58 (step @p267 :rule cong :premises (@p156 @p266) :args (@t71)) % 0.28/0.58 (step @p268 :rule cong :premises (@p267) :args (@t72)) % 0.28/0.58 (step @p269 :rule trans :premises (@p268 @p262)) % 0.28/0.58 (step @p270 :rule eq_resolve :premises (@p10 @p269)) % 0.28/0.58 (step @p271 :rule instantiate :premises (@p270) :args (@t109)) % 0.28/0.58 (step @p272 :rule cnf_or_pos :args (@t203)) % 0.28/0.58 (step @p273 :rule reordering :premises (@p272) :args ((or @t119 @t202 (not @t203)))) % 0.28/0.58 (step @p274 :rule chain_m_resolution :premises (@p273 @p108 @p271) :args (@t202 @t183 (@list @t118 @t203))) % 0.28/0.58 (step @p275 :rule cnf_and_pos :args (@t202 1)) % 0.28/0.58 (step @p276 :rule reordering :premises (@p275) :args ((or @t201 (not @t202)))) % 0.28/0.58 (step @p277 :rule chain_m_resolution :premises (@p276 @p274) :args (@t201 @t146 (@list @t202))) % 0.28/0.58 (step @p278 :rule bool-impl-elim :args (@t15 @t195)) % 0.28/0.58 (step @p279 :rule cong :premises (@p278) :args ((forall @t43 (=> @t15 @t195)))) % 0.28/0.58 (step @p280 :rule cong :premises (@p156 @p263) :args (@t75)) % 0.28/0.58 (step @p281 :rule cong :premises (@p280) :args (@t76)) % 0.28/0.58 (step @p282 :rule trans :premises (@p281 @p279)) % 0.28/0.58 (step @p283 :rule eq_resolve :premises (@p12 @p282)) % 0.28/0.58 (step @p284 :rule instantiate :premises (@p283) :args (@t109)) % 0.28/0.58 (step @p285 :rule cnf_or_pos :args (@t204)) % 0.28/0.58 (step @p286 :rule reordering :premises (@p285) :args ((or @t119 @t199 (not @t204)))) % 0.28/0.58 (step @p287 :rule chain_m_resolution :premises (@p286 @p108 @p284) :args (@t199 @t183 (@list @t118 @t204))) % 0.28/0.58 (step @p288 :rule cnf_or_pos :args (@t201)) % 0.28/0.58 (step @p289 :rule reordering :premises (@p288) :args ((or @t132 @t200 (not @t201)))) % 0.28/0.58 (step @p290 :rule chain_m_resolution :premises (@p289 @p287 @p277) :args (@t132 @t183 (@list @t199 @t201))) % 0.28/0.58 (step @p291 :rule instantiate :premises (@p2) :args ((@list @t131 @t130))) % 0.28/0.58 (step @p292 :rule cnf_or_neg :args (@t205 1)) % 0.28/0.58 (step @p293 :rule reordering :premises (@p292) :args ((or @t133 @t205))) % 0.28/0.58 (step @p294 :rule chain_m_resolution :premises (@p293 @p290) :args (@t205 @t146 (@list @t132))) % 0.28/0.58 (step @p295 :rule cnf_equiv_pos2 :args (@t207)) % 0.28/0.58 (step @p296 :rule reordering :premises (@p295) :args ((or @t206 (not @t205) (not @t207)))) % 0.28/0.58 (step @p297 :rule chain_m_resolution :premises (@p296 @p294 @p291) :args (@t206 @t183 (@list @t205 @t207))) % 0.28/0.58 (step @p298 :rule refl :args (@t208)) % 0.28/0.58 (step @p299 :rule refl :args (@t133)) % 0.28/0.58 (step @p300 :rule bool-double-not-elim :args (@t139)) % 0.28/0.58 (step @p301 :rule nary_cong :premises (@p300 @p299 @p298) :args ((or (not @t140) @t133 @t208))) % 0.28/0.58 (assume-push @p323 @t140) % 0.28/0.58 (assume-push @p324 @t132) % 0.28/0.58 (step @p304 :rule false_intro :premises (@p255)) % 0.28/0.58 (step @p305 :rule symm :premises (@p290)) % 0.28/0.58 (step @p306 :rule cong :premises (@p290 @p305) :args (@t206)) % 0.28/0.58 (step @p307 :rule trans :premises (@p306 @p304)) % 0.28/0.58 (step @p308 :rule false_elim :premises (@p307)) % 0.28/0.58 (step-pop @p325 :rule scope :premises (@p308)) % 0.28/0.58 (step-pop @p326 :rule scope :premises (@p325)) % 0.28/0.58 (step @p309 :rule process_scope :premises (@p326) :args (@t208)) % 0.28/0.58 (step @p312 :rule implies_elim :premises (@p309)) % 0.28/0.58 (step @p313 :rule cnf_and_neg :args (@t209)) % 0.28/0.58 (step @p314 :rule resolution :premises (@p313 @p312) :args (true @t209)) % 0.28/0.58 (step @p315 :rule eq_resolve :premises (@p314 @p301)) % 0.28/0.58 (step @p316 false :rule chain_m_resolution :premises (@p315 @p297 @p290 @p255) :args (false (@list false false true) (@list @t206 @t132 @t139))) % 0.28/0.58 ) % 0.28/0.58 % SZS output end Proof % 0.28/0.58 % cvc5 exiting %------------------------------------------------------------------------------