%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT005+2 : TPTP v9.3.0. Bugfixed v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 06:04:41 AM UTC 2026 % Result : Theorem 0.55s 0.81s % Output : Proof 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT005+2 : TPTP v9.3.0. Bugfixed v3.2.0. % 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 : n005.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 11:39:35 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.55/0.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.55/0.81 % SZS status Theorem % 0.55/0.81 % SZS output start Proof % 0.55/0.81 ( % 0.55/0.81 (declare-sort $$unsorted 0) % 0.55/0.81 (declare-const tptp.class (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.55/0.81 (declare-const tptp.complexity (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.55/0.81 (declare-const tptp.reorganization_free (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.55/0.81 (declare-const tptp.reorganization_type (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.55/0.81 (declare-const tptp.reorganization (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.55/0.81 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.55/0.81 (declare-const tptp.survival_chance (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.55/0.81 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.55/0.81 (define @t1 () (@var "Y" $$unsorted)) % 0.55/0.81 (define @t2 () (@var "X" $$unsorted)) % 0.55/0.81 (define @t3 () (tptp.greater @t2 @t1)) % 0.55/0.81 (define @t4 () (@list @t2 @t1)) % 0.55/0.81 (define @t5 () (@var "Z" $$unsorted)) % 0.55/0.81 (define @t6 () (@var "P1" $$unsorted)) % 0.55/0.81 (define @t7 () (@var "P2" $$unsorted)) % 0.55/0.81 (define @t8 () (tptp.greater @t7 @t6)) % 0.55/0.81 (define @t9 () (= @t6 @t7)) % 0.55/0.81 (define @t10 () (tptp.greater @t6 @t7)) % 0.55/0.81 (define @t11 () (@var "T" $$unsorted)) % 0.55/0.81 (define @t12 () (tptp.survival_chance @t1 @t7 @t11)) % 0.55/0.81 (define @t13 () (tptp.survival_chance @t2 @t6 @t11)) % 0.55/0.81 (define @t14 () (@var "P" $$unsorted)) % 0.55/0.81 (define @t15 () (tptp.organization @t2 @t11)) % 0.55/0.81 (define @t16 () (@var "T2" $$unsorted)) % 0.55/0.81 (define @t17 () (tptp.greater @t16 @t11)) % 0.55/0.81 (define @t18 () (@var "T1" $$unsorted)) % 0.55/0.81 (define @t19 () (tptp.greater @t11 @t18)) % 0.55/0.81 (define @t20 () (tptp.organization @t2 @t16)) % 0.55/0.81 (define @t21 () (tptp.organization @t2 @t18)) % 0.55/0.81 (define @t22 () (and @t21 @t20 @t19 @t17)) % 0.55/0.81 (define @t23 () (@list @t2 @t11 @t18 @t16)) % 0.55/0.81 (define @t24 () (forall @t23 (=> @t22 @t15))) % 0.55/0.81 (define @t25 () (@var "Ta" $$unsorted)) % 0.55/0.81 (define @t26 () (@var "Tb" $$unsorted)) % 0.55/0.81 (define @t27 () (tptp.greater @t26 @t25)) % 0.55/0.81 (define @t28 () (tptp.reorganization @t2 @t25 @t26)) % 0.55/0.81 (define @t29 () (forall (@list @t2 @t25 @t26) (=> @t28 @t27))) % 0.55/0.81 (define @t30 () (tptp.greater @t16 @t18)) % 0.55/0.81 (define @t31 () (tptp.survival_chance @t2 @t7 @t16)) % 0.55/0.81 (define @t32 () (tptp.survival_chance @t2 @t6 @t18)) % 0.55/0.81 (define @t33 () (@var "Tc" $$unsorted)) % 0.55/0.81 (define @t34 () (tptp.greater @t33 @t26)) % 0.55/0.81 (define @t35 () (@var "C1" $$unsorted)) % 0.55/0.81 (define @t36 () (@var "C2" $$unsorted)) % 0.55/0.81 (define @t37 () (tptp.greater @t36 @t35)) % 0.55/0.81 (define @t38 () (tptp.complexity @t1 @t36 @t25)) % 0.55/0.81 (define @t39 () (tptp.complexity @t2 @t35 @t25)) % 0.55/0.81 (define @t40 () (@var "Re" $$unsorted)) % 0.55/0.81 (define @t41 () (tptp.reorganization_type @t1 @t40 @t25)) % 0.55/0.81 (define @t42 () (tptp.reorganization_type @t2 @t40 @t25)) % 0.55/0.81 (define @t43 () (tptp.reorganization @t1 @t25 @t33)) % 0.55/0.81 (define @t44 () (@var "C" $$unsorted)) % 0.55/0.81 (define @t45 () (tptp.class @t1 @t44 @t25)) % 0.55/0.81 (define @t46 () (tptp.class @t2 @t44 @t25)) % 0.55/0.81 (define @t47 () (tptp.organization @t1 @t33)) % 0.55/0.81 (define @t48 () (tptp.organization @t1 @t25)) % 0.55/0.81 (define @t49 () (tptp.organization @t2 @t25)) % 0.55/0.81 (define @t50 () (and @t49 @t48 @t47 @t46 @t45 @t28 @t43 @t42 @t41 @t39 @t38 @t37)) % 0.55/0.81 (define @t51 () (forall (@list @t2 @t1 @t40 @t44 @t35 @t36 @t25 @t26 @t33) (=> @t50 @t34))) % 0.55/0.81 (define @t52 () (or @t10 @t9)) % 0.55/0.81 (define @t53 () (tptp.survival_chance @t1 @t7 @t26)) % 0.55/0.81 (define @t54 () (tptp.survival_chance @t2 @t6 @t26)) % 0.55/0.81 (define @t55 () (tptp.survival_chance @t1 @t14 @t25)) % 0.55/0.81 (define @t56 () (tptp.survival_chance @t2 @t14 @t25)) % 0.55/0.81 (define @t57 () (tptp.organization @t1 @t26)) % 0.55/0.81 (define @t58 () (tptp.organization @t2 @t26)) % 0.55/0.81 (define @t59 () (and @t49 @t48 @t58 @t57 @t46 @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37)) % 0.55/0.81 (define @t60 () (@list @t2 @t1 @t40 @t44 @t14 @t6 @t7 @t35 @t36 @t25 @t26 @t33)) % 0.55/0.81 (define @t61 () (forall @t60 (=> @t59 @t52))) % 0.55/0.81 (define @t62 () (@var "Py0" $$unsorted)) % 0.55/0.81 (define @t63 () (@var "Px0" $$unsorted)) % 0.55/0.81 (define @t64 () (@var "T0" $$unsorted)) % 0.55/0.81 (define @t65 () (@var "Px2" $$unsorted)) % 0.55/0.81 (define @t66 () (@var "Py1" $$unsorted)) % 0.55/0.81 (define @t67 () (@var "Px1" $$unsorted)) % 0.55/0.81 (define @t68 () (@var "Py2" $$unsorted)) % 0.55/0.81 (define @t69 () (= @t11 @t26)) % 0.55/0.81 (define @t70 () (=> @t69 @t52)) % 0.55/0.81 (define @t71 () (= @t11 @t33)) % 0.55/0.81 (define @t72 () (=> @t71 @t10)) % 0.55/0.81 (define @t73 () (tptp.reorganization_free @t2 @t26 @t33)) % 0.55/0.81 (define @t74 () (tptp.organization @t2 @t33)) % 0.55/0.81 (define @t75 () (and @t49 @t48 @t74 @t47 @t46 @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72)) % 0.55/0.81 (define @t76 () (@list @t2 @t1 @t40 @t44 @t14 @t6 @t7 @t35 @t36 @t11 @t25 @t26 @t33)) % 0.55/0.81 (define @t77 () (forall @t76 (=> @t75 @t70))) % 0.55/0.81 (define @t78 () (not @t77)) % 0.55/0.81 (define @t79 () (not @t17)) % 0.55/0.81 (define @t80 () (not @t19)) % 0.55/0.81 (define @t81 () (not @t20)) % 0.55/0.81 (define @t82 () (not @t21)) % 0.55/0.81 (define @t83 () (or @t82 @t81 @t80 @t79 @t15)) % 0.55/0.81 (define @t84 () (or @t82 @t81 @t80 @t79)) % 0.55/0.81 (define @t85 () (not @t37)) % 0.55/0.81 (define @t86 () (not @t38)) % 0.55/0.81 (define @t87 () (not @t39)) % 0.55/0.81 (define @t88 () (not @t41)) % 0.55/0.81 (define @t89 () (not @t42)) % 0.55/0.81 (define @t90 () (not @t43)) % 0.55/0.81 (define @t91 () (not @t28)) % 0.55/0.81 (define @t92 () (not @t45)) % 0.55/0.81 (define @t93 () (not @t46)) % 0.55/0.81 (define @t94 () (not @t47)) % 0.55/0.81 (define @t95 () (not @t48)) % 0.55/0.81 (define @t96 () (not @t49)) % 0.55/0.81 (define @t97 () (or @t96 @t95 @t94 @t93 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85)) % 0.55/0.81 (define @t98 () (or @t87 (or @t86 @t85))) % 0.55/0.81 (define @t99 () (not (and @t39 @t38 @t37))) % 0.55/0.81 (define @t100 () (not @t10)) % 0.55/0.81 (define @t101 () (and (= @t26 @t33) @t100)) % 0.55/0.81 (define @t102 () (not @t53)) % 0.55/0.81 (define @t103 () (not @t54)) % 0.55/0.81 (define @t104 () (not @t73)) % 0.55/0.81 (define @t105 () (not @t55)) % 0.55/0.81 (define @t106 () (not @t56)) % 0.55/0.81 (define @t107 () (not @t74)) % 0.55/0.81 (define @t108 () (or @t96 @t95 @t107 @t94 @t93 @t92 @t106 @t105 @t91 @t90 @t89 @t88 @t104 @t103 @t102 @t87 @t86 @t85 @t101 @t10 @t9)) % 0.55/0.81 (define @t109 () (forall @t60 @t108)) % 0.55/0.81 (define @t110 () (@quantifiers_skolemize @t109 11)) % 0.55/0.81 (define @t111 () (@quantifiers_skolemize @t109 10)) % 0.55/0.81 (define @t112 () (@quantifiers_skolemize @t109 9)) % 0.55/0.81 (define @t113 () (@quantifiers_skolemize @t109 8)) % 0.55/0.81 (define @t114 () (@quantifiers_skolemize @t109 7)) % 0.55/0.81 (define @t115 () (@quantifiers_skolemize @t109 3)) % 0.55/0.81 (define @t116 () (@quantifiers_skolemize @t109 2)) % 0.55/0.81 (define @t117 () (@quantifiers_skolemize @t109 1)) % 0.55/0.81 (define @t118 () (@quantifiers_skolemize @t109 0)) % 0.55/0.81 (define @t119 () (not (= @t26 @t26))) % 0.55/0.81 (define @t120 () (or @t96 @t95 @t107 @t94 @t93 @t92 @t106 @t105 @t91 @t90 @t89 @t88 @t104 @t103 @t102 @t87 @t86 @t85 @t101 @t119 @t10 @t9)) % 0.55/0.81 (define @t121 () (not @t69)) % 0.55/0.81 (define @t122 () (and @t71 @t100)) % 0.55/0.81 (define @t123 () (not @t12)) % 0.55/0.81 (define @t124 () (not @t13)) % 0.55/0.81 (define @t125 () (or @t121 @t96 @t95 @t107 @t94 @t93 @t92 @t106 @t105 @t91 @t90 @t89 @t88 @t104 @t124 @t123 @t87 @t86 @t85 @t122 @t121 @t10 @t9)) % 0.55/0.81 (define @t126 () (@list @t11)) % 0.55/0.81 (define @t127 () (or @t96 @t95 @t107 @t94 @t93 @t92 @t106 @t105 @t91 @t90 @t89 @t88 @t104 @t124 @t123 @t87 @t86 @t85 @t122 @t121 @t10 @t9)) % 0.55/0.81 (define @t128 () (forall @t126 @t127)) % 0.55/0.81 (define @t129 () (forall @t60 @t128)) % 0.55/0.81 (define @t130 () (forall (@list @t2 @t1 @t40 @t44 @t14 @t6 @t7 @t35 @t36 @t25 @t26 @t33 @t11) @t127)) % 0.55/0.81 (define @t131 () (or @t121 @t10 @t9)) % 0.55/0.81 (define @t132 () (not @t72)) % 0.55/0.81 (define @t133 () (or @t96 @t95 @t107 @t94 @t93 @t92 @t106 @t105 @t91 @t90 @t89 @t88 @t104 @t124 @t123 @t87 @t86 @t85 @t132)) % 0.55/0.81 (define @t134 () (tptp.greater @t113 @t114)) % 0.55/0.81 (define @t135 () (@quantifiers_skolemize @t109 6)) % 0.55/0.81 (define @t136 () (@quantifiers_skolemize @t109 5)) % 0.55/0.81 (define @t137 () (= @t136 @t135)) % 0.55/0.81 (define @t138 () (tptp.greater @t136 @t135)) % 0.55/0.81 (define @t139 () (not @t138)) % 0.55/0.81 (define @t140 () (not @t134)) % 0.55/0.81 (define @t141 () (tptp.complexity @t117 @t113 @t112)) % 0.55/0.81 (define @t142 () (not @t141)) % 0.55/0.81 (define @t143 () (tptp.complexity @t118 @t114 @t112)) % 0.55/0.81 (define @t144 () (not @t143)) % 0.55/0.81 (define @t145 () (tptp.survival_chance @t117 @t135 @t111)) % 0.55/0.81 (define @t146 () (not @t145)) % 0.55/0.81 (define @t147 () (tptp.survival_chance @t118 @t136 @t111)) % 0.55/0.81 (define @t148 () (not @t147)) % 0.55/0.81 (define @t149 () (tptp.reorganization_type @t117 @t116 @t112)) % 0.55/0.81 (define @t150 () (not @t149)) % 0.55/0.81 (define @t151 () (tptp.reorganization_type @t118 @t116 @t112)) % 0.55/0.81 (define @t152 () (not @t151)) % 0.55/0.81 (define @t153 () (tptp.reorganization @t117 @t112 @t110)) % 0.55/0.81 (define @t154 () (not @t153)) % 0.55/0.81 (define @t155 () (tptp.reorganization @t118 @t112 @t111)) % 0.55/0.81 (define @t156 () (not @t155)) % 0.55/0.81 (define @t157 () (@quantifiers_skolemize @t109 4)) % 0.55/0.81 (define @t158 () (tptp.survival_chance @t117 @t157 @t112)) % 0.55/0.81 (define @t159 () (not @t158)) % 0.55/0.81 (define @t160 () (tptp.survival_chance @t118 @t157 @t112)) % 0.55/0.81 (define @t161 () (not @t160)) % 0.55/0.81 (define @t162 () (tptp.class @t117 @t115 @t112)) % 0.55/0.81 (define @t163 () (not @t162)) % 0.55/0.81 (define @t164 () (tptp.class @t118 @t115 @t112)) % 0.55/0.81 (define @t165 () (not @t164)) % 0.55/0.81 (define @t166 () (tptp.organization @t117 @t110)) % 0.55/0.81 (define @t167 () (not @t166)) % 0.55/0.81 (define @t168 () (tptp.organization @t118 @t110)) % 0.55/0.81 (define @t169 () (not @t168)) % 0.55/0.81 (define @t170 () (tptp.organization @t117 @t112)) % 0.55/0.81 (define @t171 () (not @t170)) % 0.55/0.81 (define @t172 () (tptp.organization @t118 @t112)) % 0.55/0.81 (define @t173 () (not @t172)) % 0.55/0.81 (define @t174 () (or @t173 @t171 @t169 @t167 @t165 @t163 @t161 @t159 @t156 @t154 @t152 @t150 (not (tptp.reorganization_free @t118 @t111 @t110)) @t148 @t146 @t144 @t142 @t140 (and (= @t111 @t110) @t139) @t138 @t137)) % 0.55/0.81 (define @t175 () (@list true)) % 0.55/0.81 (define @t176 () (@list @t174)) % 0.55/0.81 (define @t177 () (tptp.greater @t110 @t111)) % 0.55/0.81 (define @t178 () (or @t173 @t171 @t167 @t165 @t163 @t156 @t154 @t152 @t150 @t144 @t142 @t140 @t177)) % 0.55/0.81 (define @t179 () (tptp.greater @t111 @t112)) % 0.55/0.81 (define @t180 () (or @t156 @t179)) % 0.55/0.81 (define @t181 () (not @t57)) % 0.55/0.81 (define @t182 () (not @t58)) % 0.55/0.81 (define @t183 () (or @t96 @t95 @t182 @t181 @t93 @t92 @t106 @t105 @t91 @t90 @t89 @t88 @t103 @t102 @t87 @t86 @t85)) % 0.55/0.81 (define @t184 () (tptp.organization @t118 @t111)) % 0.55/0.81 (define @t185 () (not @t177)) % 0.55/0.81 (define @t186 () (not @t179)) % 0.55/0.81 (define @t187 () (or @t173 @t169 @t186 @t185 @t184)) % 0.55/0.81 (define @t188 () (tptp.organization @t117 @t111)) % 0.55/0.81 (define @t189 () (not @t188)) % 0.55/0.81 (define @t190 () (not @t184)) % 0.55/0.81 (define @t191 () (or @t173 @t171 @t190 @t189 @t165 @t163 @t161 @t159 @t156 @t154 @t152 @t150 @t148 @t146 @t144 @t142 @t140 @t138 @t137)) % 0.55/0.81 (define @t192 () (or @t171 @t167 @t186 @t185 @t188)) % 0.55/0.81 (define @t193 () (not @t192)) % 0.55/0.81 (define @t194 () (forall @t23 @t83)) % 0.55/0.81 (assume @p1 (forall @t4 (not (and @t3 (= @t2 @t1))))) % 0.55/0.81 (assume @p2 (forall @t4 (not (and @t3 (tptp.greater @t1 @t2))))) % 0.55/0.81 (assume @p3 (forall (@list @t2 @t1 @t5) (=> (and @t3 (tptp.greater @t1 @t5)) (tptp.greater @t2 @t5)))) % 0.55/0.81 (assume @p4 (forall (@list @t2 @t1 @t6 @t7 @t11) (=> (and @t13 @t12) (or @t10 @t9 @t8)))) % 0.55/0.81 (assume @p5 (forall (@list @t2 @t11) (=> @t15 (exists (@list @t14) (tptp.survival_chance @t2 @t14 @t11))))) % 0.55/0.81 (assume @p6 @t24) % 0.55/0.81 (assume @p7 @t29) % 0.55/0.81 (assume @p8 (forall (@list @t2 @t6 @t7 @t18 @t16) (=> (and @t21 @t20 (tptp.reorganization_free @t2 @t18 @t16) @t32 @t31 @t30) @t8))) % 0.55/0.81 (assume @p9 (forall (@list @t2 @t6 @t7 @t18 @t16 @t25 @t26) (=> (and @t21 @t20 @t28 @t32 @t31 (not (tptp.greater @t25 @t18)) @t30 (not (tptp.greater @t16 @t26))) @t10))) % 0.55/0.81 (assume @p10 @t51) % 0.55/0.81 (assume @p11 @t61) % 0.55/0.81 (assume @p12 (forall (@list @t2 @t1 @t67 @t65 @t66 @t68 @t18 @t16) (=> (and @t30 (tptp.survival_chance @t2 @t67 @t18) (tptp.survival_chance @t1 @t66 @t18) (tptp.survival_chance @t2 @t65 @t16) (tptp.survival_chance @t1 @t68 @t16) (tptp.greater @t65 @t67) (tptp.greater @t66 @t65)) (exists (@list @t64 @t63 @t62) (and (tptp.greater @t64 @t18) (tptp.greater @t16 @t64) (tptp.survival_chance @t2 @t63 @t64) (tptp.survival_chance @t1 @t62 @t64) (= @t63 @t62)))))) % 0.55/0.81 (assume @p13 @t78) % 0.55/0.81 (assume @p14 true) % 0.55/0.81 (step @p15 :rule aci_norm :args ((= (or @t84 @t15) @t83))) % 0.55/0.81 (step @p16 :rule refl :args (@t15)) % 0.55/0.81 (step @p17 :rule aci_norm :args ((= (or @t82 (or @t81 (or @t80 @t79))) @t84))) % 0.55/0.81 (step @p18 :rule bool-and-de-morgan :args (@t19 @t17 true)) % 0.55/0.81 (step @p19 :rule refl :args (@t81)) % 0.55/0.81 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t81 (not (and @t19 @t17))))) % 0.55/0.81 (step @p21 :rule bool-and-de-morgan :args (@t20 @t19 (and @t17))) % 0.55/0.81 (step @p22 :rule trans :premises (@p21 @p20)) % 0.55/0.81 (step @p23 :rule refl :args (@t82)) % 0.55/0.81 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t82 (not (and @t20 @t19 @t17))))) % 0.55/0.81 (step @p25 :rule bool-and-de-morgan :args (@t21 @t20 (and @t19 @t17))) % 0.55/0.81 (step @p26 :rule trans :premises (@p25 @p24)) % 0.55/0.81 (step @p27 :rule trans :premises (@p26 @p17)) % 0.55/0.81 (step @p28 :rule nary_cong :premises (@p27 @p16) :args ((or (not @t22) @t15))) % 0.55/0.81 (step @p29 :rule trans :premises (@p28 @p15)) % 0.55/0.81 (step @p30 :rule bool-impl-elim :args (@t22 @t15)) % 0.55/0.81 (step @p31 :rule trans :premises (@p30 @p29)) % 0.55/0.81 (step @p32 :rule cong :premises (@p31) :args (@t24)) % 0.55/0.81 (step @p33 :rule eq_resolve :premises (@p6 @p32)) % 0.55/0.81 (step @p34 :rule aci_norm :args ((= (or @t97 @t34) (or @t96 @t95 @t94 @t93 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85 @t34)))) % 0.55/0.81 (step @p35 :rule refl :args (@t34)) % 0.55/0.81 (step @p36 :rule aci_norm :args ((= (or @t96 (or @t95 (or @t94 (or @t93 (or @t92 (or @t91 (or @t90 (or @t89 (or @t88 @t98))))))))) @t97))) % 0.55/0.81 (step @p37 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 0.55/0.81 (step @p38 :rule refl :args (@t87)) % 0.55/0.81 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t87 (not (and @t38 @t37))))) % 0.55/0.81 (step @p40 :rule bool-and-de-morgan :args (@t39 @t38 (and @t37))) % 0.55/0.81 (step @p41 :rule trans :premises (@p40 @p39)) % 0.55/0.81 (step @p42 :rule refl :args (@t88)) % 0.55/0.81 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t88 @t99))) % 0.55/0.81 (step @p44 :rule bool-and-de-morgan :args (@t41 @t39 (and @t38 @t37))) % 0.55/0.81 (step @p45 :rule trans :premises (@p44 @p43)) % 0.55/0.81 (step @p46 :rule refl :args (@t89)) % 0.55/0.81 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t89 (not (and @t41 @t39 @t38 @t37))))) % 0.55/0.81 (step @p48 :rule bool-and-de-morgan :args (@t42 @t41 (and @t39 @t38 @t37))) % 0.55/0.81 (step @p49 :rule trans :premises (@p48 @p47)) % 0.55/0.81 (step @p50 :rule refl :args (@t90)) % 0.55/0.81 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t90 (not (and @t42 @t41 @t39 @t38 @t37))))) % 0.55/0.81 (step @p52 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t39 @t38 @t37))) % 0.55/0.81 (step @p53 :rule trans :premises (@p52 @p51)) % 0.55/0.81 (step @p54 :rule refl :args (@t91)) % 0.55/0.81 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t91 (not (and @t43 @t42 @t41 @t39 @t38 @t37))))) % 0.55/0.81 (step @p56 :rule bool-and-de-morgan :args (@t28 @t43 (and @t42 @t41 @t39 @t38 @t37))) % 0.55/0.81 (step @p57 :rule trans :premises (@p56 @p55)) % 0.55/0.81 (step @p58 :rule refl :args (@t92)) % 0.55/0.81 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t92 (not (and @t28 @t43 @t42 @t41 @t39 @t38 @t37))))) % 0.55/0.81 (step @p60 :rule bool-and-de-morgan :args (@t45 @t28 (and @t43 @t42 @t41 @t39 @t38 @t37))) % 0.55/0.81 (step @p61 :rule trans :premises (@p60 @p59)) % 0.55/0.81 (step @p62 :rule refl :args (@t93)) % 0.55/0.81 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t93 (not (and @t45 @t28 @t43 @t42 @t41 @t39 @t38 @t37))))) % 0.55/0.81 (step @p64 :rule bool-and-de-morgan :args (@t46 @t45 (and @t28 @t43 @t42 @t41 @t39 @t38 @t37))) % 0.55/0.81 (step @p65 :rule trans :premises (@p64 @p63)) % 0.55/0.81 (step @p66 :rule refl :args (@t94)) % 0.55/0.81 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t94 (not (and @t46 @t45 @t28 @t43 @t42 @t41 @t39 @t38 @t37))))) % 0.55/0.81 (step @p68 :rule bool-and-de-morgan :args (@t47 @t46 (and @t45 @t28 @t43 @t42 @t41 @t39 @t38 @t37))) % 0.55/0.81 (step @p69 :rule trans :premises (@p68 @p67)) % 0.55/0.81 (step @p70 :rule refl :args (@t95)) % 0.55/0.81 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t95 (not (and @t47 @t46 @t45 @t28 @t43 @t42 @t41 @t39 @t38 @t37))))) % 0.55/0.81 (step @p72 :rule bool-and-de-morgan :args (@t48 @t47 (and @t46 @t45 @t28 @t43 @t42 @t41 @t39 @t38 @t37))) % 0.55/0.81 (step @p73 :rule trans :premises (@p72 @p71)) % 0.55/0.81 (step @p74 :rule refl :args (@t96)) % 0.55/0.81 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t96 (not (and @t48 @t47 @t46 @t45 @t28 @t43 @t42 @t41 @t39 @t38 @t37))))) % 0.55/0.81 (step @p76 :rule bool-and-de-morgan :args (@t49 @t48 (and @t47 @t46 @t45 @t28 @t43 @t42 @t41 @t39 @t38 @t37))) % 0.55/0.81 (step @p77 :rule trans :premises (@p76 @p75)) % 0.55/0.81 (step @p78 :rule trans :premises (@p77 @p36)) % 0.55/0.81 (step @p79 :rule nary_cong :premises (@p78 @p35) :args ((or (not @t50) @t34))) % 0.55/0.81 (step @p80 :rule trans :premises (@p79 @p34)) % 0.55/0.81 (step @p81 :rule bool-impl-elim :args (@t50 @t34)) % 0.55/0.81 (step @p82 :rule trans :premises (@p81 @p80)) % 0.55/0.81 (step @p83 :rule cong :premises (@p82) :args (@t51)) % 0.55/0.81 (step @p84 :rule eq_resolve :premises (@p10 @p83)) % 0.55/0.81 (step @p85 :rule instantiate :premises (@p84) :args ((@list @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110))) % 0.55/0.81 (step @p86 :rule aci_norm :args ((= (or @t96 @t95 @t107 @t94 @t93 @t92 @t106 @t105 @t91 @t90 @t89 @t88 @t104 @t103 @t102 @t87 @t86 @t85 @t101 false @t10 @t9) @t108))) % 0.55/0.81 (step @p87 :rule refl :args (@t9)) % 0.55/0.81 (step @p88 :rule refl :args (@t10)) % 0.55/0.81 (step @p89 :rule evaluate :args ((not true))) % 0.55/0.81 (step @p90 :rule eq-refl :args (@t26)) % 0.55/0.81 (step @p91 :rule cong :premises (@p90) :args (@t119)) % 0.55/0.81 (step @p92 :rule trans :premises (@p91 @p89)) % 0.55/0.81 (step @p93 :rule refl :args (@t101)) % 0.55/0.81 (step @p94 :rule refl :args (@t85)) % 0.55/0.81 (step @p95 :rule refl :args (@t86)) % 0.55/0.81 (step @p96 :rule refl :args (@t87)) % 0.55/0.81 (step @p97 :rule refl :args (@t102)) % 0.55/0.81 (step @p98 :rule refl :args (@t103)) % 0.55/0.81 (step @p99 :rule refl :args (@t104)) % 0.55/0.81 (step @p100 :rule refl :args (@t88)) % 0.55/0.81 (step @p101 :rule refl :args (@t89)) % 0.55/0.81 (step @p102 :rule refl :args (@t90)) % 0.55/0.81 (step @p103 :rule refl :args (@t91)) % 0.55/0.81 (step @p104 :rule refl :args (@t105)) % 0.55/0.81 (step @p105 :rule refl :args (@t106)) % 0.55/0.81 (step @p106 :rule refl :args (@t92)) % 0.55/0.81 (step @p107 :rule refl :args (@t93)) % 0.55/0.81 (step @p108 :rule refl :args (@t94)) % 0.55/0.81 (step @p109 :rule refl :args (@t107)) % 0.55/0.81 (step @p110 :rule refl :args (@t95)) % 0.55/0.81 (step @p111 :rule refl :args (@t96)) % 0.55/0.81 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p88 @p87) :args (@t120)) % 0.55/0.81 (step @p113 :rule trans :premises (@p112 @p86)) % 0.55/0.81 (step @p114 :rule cong :premises (@p113) :args ((forall @t60 @t120))) % 0.55/0.81 (step @p115 :rule quant-var-elim-eq :args ((= (forall @t126 @t125) @t120))) % 0.55/0.81 (step @p116 :rule aci_norm :args ((= @t127 @t125))) % 0.55/0.81 (step @p117 :rule cong :premises (@p116) :args (@t128)) % 0.55/0.81 (step @p118 :rule trans :premises (@p117 @p115)) % 0.55/0.81 (step @p119 :rule cong :premises (@p118) :args (@t129)) % 0.55/0.81 (step @p120 :rule quant-merge-prenex :args ((= @t129 @t130))) % 0.55/0.81 (step @p121 :rule symm :premises (@p120)) % 0.55/0.81 (step @p122 :rule quant_var_reordering :args ((= (forall @t76 @t127) @t130))) % 0.55/0.81 (step @p123 :rule trans :premises (@p122 @p121 @p119)) % 0.55/0.81 (step @p124 :rule trans :premises (@p123 @p114)) % 0.55/0.81 (step @p125 :rule aci_norm :args ((= (or (or @t96 @t95 @t107 @t94 @t93 @t92 @t106 @t105 @t91 @t90 @t89 @t88 @t104 @t124 @t123 @t87 @t86 @t85 @t122) @t131) @t127))) % 0.55/0.81 (step @p126 :rule aci_norm :args ((= (or @t121 @t52) @t131))) % 0.55/0.81 (step @p127 :rule bool-impl-elim :args (@t69 @t52)) % 0.55/0.81 (step @p128 :rule trans :premises (@p127 @p126)) % 0.55/0.81 (step @p129 :rule bool-implies-de-morgan :args (@t71 @t10)) % 0.55/0.81 (step @p130 :rule refl :args (@t85)) % 0.55/0.81 (step @p131 :rule refl :args (@t86)) % 0.55/0.81 (step @p132 :rule refl :args (@t123)) % 0.55/0.81 (step @p133 :rule refl :args (@t124)) % 0.55/0.81 (step @p134 :rule refl :args (@t104)) % 0.55/0.81 (step @p135 :rule refl :args (@t105)) % 0.55/0.81 (step @p136 :rule refl :args (@t106)) % 0.55/0.81 (step @p137 :rule refl :args (@t107)) % 0.55/0.81 (step @p138 :rule nary_cong :premises (@p74 @p70 @p137 @p66 @p62 @p58 @p136 @p135 @p54 @p50 @p46 @p42 @p134 @p133 @p132 @p38 @p131 @p130 @p129) :args (@t133)) % 0.55/0.81 (step @p139 :rule aci_norm :args ((= (or @t96 (or @t95 (or @t107 (or @t94 (or @t93 (or @t92 (or @t106 (or @t105 (or @t91 (or @t90 (or @t89 (or @t88 (or @t104 (or @t124 (or @t123 (or @t87 (or @t86 (or @t85 @t132)))))))))))))))))) @t133))) % 0.55/0.81 (step @p140 :rule bool-and-de-morgan :args (@t37 @t72 true)) % 0.55/0.81 (step @p141 :rule nary_cong :premises (@p131 @p140) :args ((or @t86 (not (and @t37 @t72))))) % 0.55/0.81 (step @p142 :rule bool-and-de-morgan :args (@t38 @t37 (and @t72))) % 0.55/0.81 (step @p143 :rule trans :premises (@p142 @p141)) % 0.55/0.81 (step @p144 :rule nary_cong :premises (@p38 @p143) :args ((or @t87 (not (and @t38 @t37 @t72))))) % 0.55/0.81 (step @p145 :rule bool-and-de-morgan :args (@t39 @t38 (and @t37 @t72))) % 0.55/0.81 (step @p146 :rule trans :premises (@p145 @p144)) % 0.55/0.81 (step @p147 :rule nary_cong :premises (@p132 @p146) :args ((or @t123 (not (and @t39 @t38 @t37 @t72))))) % 0.55/0.81 (step @p148 :rule bool-and-de-morgan :args (@t12 @t39 (and @t38 @t37 @t72))) % 0.55/0.81 (step @p149 :rule trans :premises (@p148 @p147)) % 0.55/0.81 (step @p150 :rule nary_cong :premises (@p133 @p149) :args ((or @t124 (not (and @t12 @t39 @t38 @t37 @t72))))) % 0.55/0.81 (step @p151 :rule bool-and-de-morgan :args (@t13 @t12 (and @t39 @t38 @t37 @t72))) % 0.55/0.81 (step @p152 :rule trans :premises (@p151 @p150)) % 0.55/0.81 (step @p153 :rule nary_cong :premises (@p134 @p152) :args ((or @t104 (not (and @t13 @t12 @t39 @t38 @t37 @t72))))) % 0.55/0.81 (step @p154 :rule bool-and-de-morgan :args (@t73 @t13 (and @t12 @t39 @t38 @t37 @t72))) % 0.55/0.81 (step @p155 :rule trans :premises (@p154 @p153)) % 0.55/0.81 (step @p156 :rule nary_cong :premises (@p42 @p155) :args ((or @t88 (not (and @t73 @t13 @t12 @t39 @t38 @t37 @t72))))) % 0.55/0.81 (step @p157 :rule bool-and-de-morgan :args (@t41 @t73 (and @t13 @t12 @t39 @t38 @t37 @t72))) % 0.55/0.81 (step @p158 :rule trans :premises (@p157 @p156)) % 0.55/0.81 (step @p159 :rule nary_cong :premises (@p46 @p158) :args ((or @t89 (not (and @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))))) % 0.55/0.81 (step @p160 :rule bool-and-de-morgan :args (@t42 @t41 (and @t73 @t13 @t12 @t39 @t38 @t37 @t72))) % 0.55/0.81 (step @p161 :rule trans :premises (@p160 @p159)) % 0.55/0.81 (step @p162 :rule nary_cong :premises (@p50 @p161) :args ((or @t90 (not (and @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))))) % 0.55/0.81 (step @p163 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))) % 0.55/0.81 (step @p164 :rule trans :premises (@p163 @p162)) % 0.55/0.81 (step @p165 :rule nary_cong :premises (@p54 @p164) :args ((or @t91 (not (and @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))))) % 0.55/0.81 (step @p166 :rule bool-and-de-morgan :args (@t28 @t43 (and @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))) % 0.55/0.81 (step @p167 :rule trans :premises (@p166 @p165)) % 0.55/0.81 (step @p168 :rule nary_cong :premises (@p135 @p167) :args ((or @t105 (not (and @t28 @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))))) % 0.55/0.81 (step @p169 :rule bool-and-de-morgan :args (@t55 @t28 (and @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))) % 0.55/0.81 (step @p170 :rule trans :premises (@p169 @p168)) % 0.55/0.81 (step @p171 :rule nary_cong :premises (@p136 @p170) :args ((or @t106 (not (and @t55 @t28 @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))))) % 0.55/0.81 (step @p172 :rule bool-and-de-morgan :args (@t56 @t55 (and @t28 @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))) % 0.55/0.81 (step @p173 :rule trans :premises (@p172 @p171)) % 0.55/0.81 (step @p174 :rule nary_cong :premises (@p58 @p173) :args ((or @t92 (not (and @t56 @t55 @t28 @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))))) % 0.55/0.81 (step @p175 :rule bool-and-de-morgan :args (@t45 @t56 (and @t55 @t28 @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))) % 0.55/0.81 (step @p176 :rule trans :premises (@p175 @p174)) % 0.55/0.81 (step @p177 :rule nary_cong :premises (@p62 @p176) :args ((or @t93 (not (and @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))))) % 0.55/0.81 (step @p178 :rule bool-and-de-morgan :args (@t46 @t45 (and @t56 @t55 @t28 @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))) % 0.55/0.81 (step @p179 :rule trans :premises (@p178 @p177)) % 0.55/0.81 (step @p180 :rule nary_cong :premises (@p66 @p179) :args ((or @t94 (not (and @t46 @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))))) % 0.55/0.81 (step @p181 :rule bool-and-de-morgan :args (@t47 @t46 (and @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))) % 0.55/0.81 (step @p182 :rule trans :premises (@p181 @p180)) % 0.55/0.81 (step @p183 :rule nary_cong :premises (@p137 @p182) :args ((or @t107 (not (and @t47 @t46 @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))))) % 0.55/0.81 (step @p184 :rule bool-and-de-morgan :args (@t74 @t47 (and @t46 @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))) % 0.55/0.81 (step @p185 :rule trans :premises (@p184 @p183)) % 0.55/0.81 (step @p186 :rule nary_cong :premises (@p70 @p185) :args ((or @t95 (not (and @t74 @t47 @t46 @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))))) % 0.55/0.81 (step @p187 :rule bool-and-de-morgan :args (@t48 @t74 (and @t47 @t46 @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))) % 0.55/0.81 (step @p188 :rule trans :premises (@p187 @p186)) % 0.55/0.81 (step @p189 :rule nary_cong :premises (@p74 @p188) :args ((or @t96 (not (and @t48 @t74 @t47 @t46 @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))))) % 0.55/0.81 (step @p190 :rule bool-and-de-morgan :args (@t49 @t48 (and @t74 @t47 @t46 @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t73 @t13 @t12 @t39 @t38 @t37 @t72))) % 0.55/0.81 (step @p191 :rule trans :premises (@p190 @p189)) % 0.55/0.81 (step @p192 :rule trans :premises (@p191 @p139)) % 0.55/0.81 (step @p193 :rule trans :premises (@p192 @p138)) % 0.55/0.81 (step @p194 :rule nary_cong :premises (@p193 @p128) :args ((or (not @t75) @t70))) % 0.55/0.81 (step @p195 :rule trans :premises (@p194 @p125)) % 0.55/0.81 (step @p196 :rule bool-impl-elim :args (@t75 @t70)) % 0.55/0.81 (step @p197 :rule trans :premises (@p196 @p195)) % 0.55/0.81 (step @p198 :rule cong :premises (@p197) :args (@t77)) % 0.55/0.81 (step @p199 :rule trans :premises (@p198 @p124)) % 0.55/0.81 (step @p200 :rule cong :premises (@p199) :args (@t78)) % 0.55/0.81 (step @p201 :rule eq_resolve :premises (@p13 @p200)) % 0.55/0.81 (step @p202 :rule skolemize :premises (@p201)) % 0.55/0.81 (step @p203 :rule bool-double-not-elim :args (@t134)) % 0.55/0.81 (step @p204 :rule refl :args (@t174)) % 0.55/0.81 (step @p205 :rule nary_cong :premises (@p204 @p203) :args ((or @t174 (not @t140)))) % 0.55/0.81 (step @p206 :rule cnf_or_neg :args (@t174 17)) % 0.55/0.81 (step @p207 :rule eq_resolve :premises (@p206 @p205)) % 0.55/0.81 (step @p208 :rule reordering :premises (@p207) :args ((or @t134 @t174))) % 0.55/0.81 (step @p209 :rule chain_m_resolution :premises (@p208 @p202) :args (@t134 @t175 @t176)) % 0.55/0.81 (step @p210 :rule bool-double-not-elim :args (@t141)) % 0.55/0.81 (step @p211 :rule nary_cong :premises (@p204 @p210) :args ((or @t174 (not @t142)))) % 0.55/0.81 (step @p212 :rule cnf_or_neg :args (@t174 16)) % 0.55/0.81 (step @p213 :rule eq_resolve :premises (@p212 @p211)) % 0.55/0.81 (step @p214 :rule reordering :premises (@p213) :args ((or @t141 @t174))) % 0.55/0.81 (step @p215 :rule chain_m_resolution :premises (@p214 @p202) :args (@t141 @t175 @t176)) % 0.55/0.81 (step @p216 :rule bool-double-not-elim :args (@t143)) % 0.55/0.81 (step @p217 :rule nary_cong :premises (@p204 @p216) :args ((or @t174 (not @t144)))) % 0.55/0.81 (step @p218 :rule cnf_or_neg :args (@t174 15)) % 0.55/0.81 (step @p219 :rule eq_resolve :premises (@p218 @p217)) % 0.55/0.81 (step @p220 :rule reordering :premises (@p219) :args ((or @t143 @t174))) % 0.55/0.81 (step @p221 :rule chain_m_resolution :premises (@p220 @p202) :args (@t143 @t175 @t176)) % 0.55/0.81 (step @p222 :rule bool-double-not-elim :args (@t149)) % 0.55/0.81 (step @p223 :rule nary_cong :premises (@p204 @p222) :args ((or @t174 (not @t150)))) % 0.55/0.81 (step @p224 :rule cnf_or_neg :args (@t174 11)) % 0.55/0.81 (step @p225 :rule eq_resolve :premises (@p224 @p223)) % 0.55/0.81 (step @p226 :rule reordering :premises (@p225) :args ((or @t149 @t174))) % 0.55/0.81 (step @p227 :rule chain_m_resolution :premises (@p226 @p202) :args (@t149 @t175 @t176)) % 0.55/0.81 (step @p228 :rule bool-double-not-elim :args (@t151)) % 0.55/0.81 (step @p229 :rule nary_cong :premises (@p204 @p228) :args ((or @t174 (not @t152)))) % 0.55/0.81 (step @p230 :rule cnf_or_neg :args (@t174 10)) % 0.55/0.81 (step @p231 :rule eq_resolve :premises (@p230 @p229)) % 0.55/0.81 (step @p232 :rule reordering :premises (@p231) :args ((or @t151 @t174))) % 0.55/0.81 (step @p233 :rule chain_m_resolution :premises (@p232 @p202) :args (@t151 @t175 @t176)) % 0.55/0.81 (step @p234 :rule bool-double-not-elim :args (@t153)) % 0.55/0.81 (step @p235 :rule nary_cong :premises (@p204 @p234) :args ((or @t174 (not @t154)))) % 0.55/0.81 (step @p236 :rule cnf_or_neg :args (@t174 9)) % 0.55/0.81 (step @p237 :rule eq_resolve :premises (@p236 @p235)) % 0.55/0.81 (step @p238 :rule reordering :premises (@p237) :args ((or @t153 @t174))) % 0.55/0.81 (step @p239 :rule chain_m_resolution :premises (@p238 @p202) :args (@t153 @t175 @t176)) % 0.55/0.81 (step @p240 :rule bool-double-not-elim :args (@t155)) % 0.55/0.81 (step @p241 :rule nary_cong :premises (@p204 @p240) :args ((or @t174 (not @t156)))) % 0.55/0.81 (step @p242 :rule cnf_or_neg :args (@t174 8)) % 0.55/0.81 (step @p243 :rule eq_resolve :premises (@p242 @p241)) % 0.55/0.81 (step @p244 :rule reordering :premises (@p243) :args ((or @t155 @t174))) % 0.55/0.81 (step @p245 :rule chain_m_resolution :premises (@p244 @p202) :args (@t155 @t175 @t176)) % 0.55/0.81 (step @p246 :rule bool-double-not-elim :args (@t162)) % 0.55/0.81 (step @p247 :rule nary_cong :premises (@p204 @p246) :args ((or @t174 (not @t163)))) % 0.55/0.81 (step @p248 :rule cnf_or_neg :args (@t174 5)) % 0.55/0.81 (step @p249 :rule eq_resolve :premises (@p248 @p247)) % 0.55/0.81 (step @p250 :rule reordering :premises (@p249) :args ((or @t162 @t174))) % 0.55/0.81 (step @p251 :rule chain_m_resolution :premises (@p250 @p202) :args (@t162 @t175 @t176)) % 0.55/0.81 (step @p252 :rule bool-double-not-elim :args (@t164)) % 0.55/0.81 (step @p253 :rule nary_cong :premises (@p204 @p252) :args ((or @t174 (not @t165)))) % 0.55/0.81 (step @p254 :rule cnf_or_neg :args (@t174 4)) % 0.55/0.81 (step @p255 :rule eq_resolve :premises (@p254 @p253)) % 0.55/0.81 (step @p256 :rule reordering :premises (@p255) :args ((or @t164 @t174))) % 0.55/0.81 (step @p257 :rule chain_m_resolution :premises (@p256 @p202) :args (@t164 @t175 @t176)) % 0.55/0.81 (step @p258 :rule bool-double-not-elim :args (@t166)) % 0.55/0.81 (step @p259 :rule nary_cong :premises (@p204 @p258) :args ((or @t174 (not @t167)))) % 0.55/0.81 (step @p260 :rule cnf_or_neg :args (@t174 3)) % 0.55/0.81 (step @p261 :rule eq_resolve :premises (@p260 @p259)) % 0.55/0.81 (step @p262 :rule reordering :premises (@p261) :args ((or @t166 @t174))) % 0.55/0.81 (step @p263 :rule chain_m_resolution :premises (@p262 @p202) :args (@t166 @t175 @t176)) % 0.55/0.81 (step @p264 :rule bool-double-not-elim :args (@t170)) % 0.55/0.81 (step @p265 :rule nary_cong :premises (@p204 @p264) :args ((or @t174 (not @t171)))) % 0.55/0.81 (step @p266 :rule cnf_or_neg :args (@t174 1)) % 0.55/0.81 (step @p267 :rule eq_resolve :premises (@p266 @p265)) % 0.55/0.81 (step @p268 :rule reordering :premises (@p267) :args ((or @t170 @t174))) % 0.55/0.81 (step @p269 :rule chain_m_resolution :premises (@p268 @p202) :args (@t170 @t175 @t176)) % 0.55/0.81 (step @p270 :rule bool-double-not-elim :args (@t172)) % 0.55/0.81 (step @p271 :rule nary_cong :premises (@p204 @p270) :args ((or @t174 (not @t173)))) % 0.55/0.81 (step @p272 :rule cnf_or_neg :args (@t174 0)) % 0.55/0.81 (step @p273 :rule eq_resolve :premises (@p272 @p271)) % 0.55/0.81 (step @p274 :rule reordering :premises (@p273) :args ((or @t172 @t174))) % 0.55/0.81 (step @p275 :rule chain_m_resolution :premises (@p274 @p202) :args (@t172 @t175 @t176)) % 0.55/0.81 (step @p276 :rule cnf_or_pos :args (@t178)) % 0.55/0.81 (step @p277 :rule reordering :premises (@p276) :args ((or @t173 @t171 @t167 @t165 @t163 @t156 @t154 @t152 @t150 @t144 @t142 @t140 @t177 (not @t178)))) % 0.55/0.81 (step @p278 :rule chain_m_resolution :premises (@p277 @p275 @p269 @p263 @p257 @p251 @p245 @p239 @p233 @p227 @p221 @p215 @p209 @p85) :args (@t177 (@list false false false false false false false false false false false false false) (@list @t172 @t170 @t166 @t164 @t162 @t155 @t153 @t151 @t149 @t143 @t141 @t134 @t178))) % 0.55/0.81 (step @p279 :rule bool-impl-elim :args (@t28 @t27)) % 0.55/0.81 (step @p280 :rule cong :premises (@p279) :args (@t29)) % 0.55/0.81 (step @p281 :rule eq_resolve :premises (@p7 @p280)) % 0.55/0.81 (step @p282 :rule instantiate :premises (@p281) :args ((@list @t118 @t112 @t111))) % 0.55/0.81 (step @p283 :rule cnf_or_pos :args (@t180)) % 0.55/0.81 (step @p284 :rule reordering :premises (@p283) :args ((or @t156 @t179 (not @t180)))) % 0.55/0.81 (step @p285 :rule chain_m_resolution :premises (@p284 @p245 @p282) :args (@t179 (@list false false) (@list @t155 @t180))) % 0.55/0.81 (step @p286 :rule aci_norm :args ((= (or @t183 @t52) (or @t96 @t95 @t182 @t181 @t93 @t92 @t106 @t105 @t91 @t90 @t89 @t88 @t103 @t102 @t87 @t86 @t85 @t10 @t9)))) % 0.55/0.81 (step @p287 :rule refl :args (@t52)) % 0.55/0.81 (step @p288 :rule aci_norm :args ((= (or @t96 (or @t95 (or @t182 (or @t181 (or @t93 (or @t92 (or @t106 (or @t105 (or @t91 (or @t90 (or @t89 (or @t88 (or @t103 (or @t102 @t98)))))))))))))) @t183))) % 0.55/0.81 (step @p289 :rule refl :args (@t102)) % 0.55/0.81 (step @p290 :rule nary_cong :premises (@p289 @p41) :args ((or @t102 @t99))) % 0.55/0.81 (step @p291 :rule bool-and-de-morgan :args (@t53 @t39 (and @t38 @t37))) % 0.55/0.81 (step @p292 :rule trans :premises (@p291 @p290)) % 0.55/0.81 (step @p293 :rule refl :args (@t103)) % 0.55/0.81 (step @p294 :rule nary_cong :premises (@p293 @p292) :args ((or @t103 (not (and @t53 @t39 @t38 @t37))))) % 0.55/0.81 (step @p295 :rule bool-and-de-morgan :args (@t54 @t53 (and @t39 @t38 @t37))) % 0.55/0.81 (step @p296 :rule trans :premises (@p295 @p294)) % 0.55/0.81 (step @p297 :rule nary_cong :premises (@p42 @p296) :args ((or @t88 (not (and @t54 @t53 @t39 @t38 @t37))))) % 0.55/0.81 (step @p298 :rule bool-and-de-morgan :args (@t41 @t54 (and @t53 @t39 @t38 @t37))) % 0.55/0.81 (step @p299 :rule trans :premises (@p298 @p297)) % 0.55/0.81 (step @p300 :rule nary_cong :premises (@p46 @p299) :args ((or @t89 (not (and @t41 @t54 @t53 @t39 @t38 @t37))))) % 0.55/0.81 (step @p301 :rule bool-and-de-morgan :args (@t42 @t41 (and @t54 @t53 @t39 @t38 @t37))) % 0.55/0.81 (step @p302 :rule trans :premises (@p301 @p300)) % 0.55/0.81 (step @p303 :rule nary_cong :premises (@p50 @p302) :args ((or @t90 (not (and @t42 @t41 @t54 @t53 @t39 @t38 @t37))))) % 0.55/0.81 (step @p304 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t54 @t53 @t39 @t38 @t37))) % 0.55/0.81 (step @p305 :rule trans :premises (@p304 @p303)) % 0.55/0.81 (step @p306 :rule nary_cong :premises (@p54 @p305) :args ((or @t91 (not (and @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))))) % 0.55/0.81 (step @p307 :rule bool-and-de-morgan :args (@t28 @t43 (and @t42 @t41 @t54 @t53 @t39 @t38 @t37))) % 0.55/0.81 (step @p308 :rule trans :premises (@p307 @p306)) % 0.55/0.81 (step @p309 :rule nary_cong :premises (@p135 @p308) :args ((or @t105 (not (and @t28 @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))))) % 0.55/0.81 (step @p310 :rule bool-and-de-morgan :args (@t55 @t28 (and @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))) % 0.55/0.81 (step @p311 :rule trans :premises (@p310 @p309)) % 0.55/0.81 (step @p312 :rule nary_cong :premises (@p136 @p311) :args ((or @t106 (not (and @t55 @t28 @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))))) % 0.55/0.81 (step @p313 :rule bool-and-de-morgan :args (@t56 @t55 (and @t28 @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))) % 0.55/0.81 (step @p314 :rule trans :premises (@p313 @p312)) % 0.55/0.81 (step @p315 :rule nary_cong :premises (@p58 @p314) :args ((or @t92 (not (and @t56 @t55 @t28 @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))))) % 0.55/0.81 (step @p316 :rule bool-and-de-morgan :args (@t45 @t56 (and @t55 @t28 @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))) % 0.55/0.81 (step @p317 :rule trans :premises (@p316 @p315)) % 0.55/0.81 (step @p318 :rule nary_cong :premises (@p62 @p317) :args ((or @t93 (not (and @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))))) % 0.55/0.81 (step @p319 :rule bool-and-de-morgan :args (@t46 @t45 (and @t56 @t55 @t28 @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))) % 0.55/0.81 (step @p320 :rule trans :premises (@p319 @p318)) % 0.55/0.81 (step @p321 :rule refl :args (@t181)) % 0.55/0.81 (step @p322 :rule nary_cong :premises (@p321 @p320) :args ((or @t181 (not (and @t46 @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))))) % 0.55/0.81 (step @p323 :rule bool-and-de-morgan :args (@t57 @t46 (and @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))) % 0.55/0.81 (step @p324 :rule trans :premises (@p323 @p322)) % 0.55/0.81 (step @p325 :rule refl :args (@t182)) % 0.55/0.81 (step @p326 :rule nary_cong :premises (@p325 @p324) :args ((or @t182 (not (and @t57 @t46 @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))))) % 0.55/0.81 (step @p327 :rule bool-and-de-morgan :args (@t58 @t57 (and @t46 @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))) % 0.55/0.81 (step @p328 :rule trans :premises (@p327 @p326)) % 0.55/0.81 (step @p329 :rule nary_cong :premises (@p70 @p328) :args ((or @t95 (not (and @t58 @t57 @t46 @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))))) % 0.55/0.81 (step @p330 :rule bool-and-de-morgan :args (@t48 @t58 (and @t57 @t46 @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))) % 0.55/0.81 (step @p331 :rule trans :premises (@p330 @p329)) % 0.55/0.81 (step @p332 :rule nary_cong :premises (@p74 @p331) :args ((or @t96 (not (and @t48 @t58 @t57 @t46 @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))))) % 0.55/0.81 (step @p333 :rule bool-and-de-morgan :args (@t49 @t48 (and @t58 @t57 @t46 @t45 @t56 @t55 @t28 @t43 @t42 @t41 @t54 @t53 @t39 @t38 @t37))) % 0.55/0.81 (step @p334 :rule trans :premises (@p333 @p332)) % 0.55/0.81 (step @p335 :rule trans :premises (@p334 @p288)) % 0.55/0.81 (step @p336 :rule nary_cong :premises (@p335 @p287) :args ((or (not @t59) @t52))) % 0.55/0.81 (step @p337 :rule trans :premises (@p336 @p286)) % 0.55/0.81 (step @p338 :rule bool-impl-elim :args (@t59 @t52)) % 0.55/0.81 (step @p339 :rule trans :premises (@p338 @p337)) % 0.55/0.81 (step @p340 :rule cong :premises (@p339) :args (@t61)) % 0.55/0.81 (step @p341 :rule eq_resolve :premises (@p11 @p340)) % 0.55/0.81 (step @p342 :rule instantiate :premises (@p341) :args ((@list @t118 @t117 @t116 @t115 @t157 @t136 @t135 @t114 @t113 @t112 @t111 @t110))) % 0.55/0.81 (step @p343 :rule instantiate :premises (@p33) :args ((@list @t118 @t111 @t112 @t110))) % 0.55/0.81 (step @p344 :rule bool-double-not-elim :args (@t168)) % 0.55/0.81 (step @p345 :rule nary_cong :premises (@p204 @p344) :args ((or @t174 (not @t169)))) % 0.55/0.81 (step @p346 :rule cnf_or_neg :args (@t174 2)) % 0.55/0.81 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 0.55/0.81 (step @p348 :rule reordering :premises (@p347) :args ((or @t168 @t174))) % 0.55/0.81 (step @p349 :rule chain_m_resolution :premises (@p348 @p202) :args (@t168 @t175 @t176)) % 0.55/0.81 (step @p350 :rule cnf_or_pos :args (@t187)) % 0.55/0.81 (step @p351 :rule reordering :premises (@p350) :args ((or @t173 @t169 @t184 @t186 @t185 (not @t187)))) % 0.55/0.81 (step @p352 :rule chain_m_resolution :premises (@p351 @p275 @p349 @p285 @p278 @p343) :args (@t184 (@list false false false false false) (@list @t172 @t168 @t179 @t177 @t187))) % 0.55/0.81 (step @p353 :rule cnf_or_neg :args (@t174 20)) % 0.55/0.81 (step @p354 :rule chain_m_resolution :premises (@p353 @p202) :args ((not @t137) @t175 @t176)) % 0.55/0.81 (step @p355 :rule cnf_or_neg :args (@t174 19)) % 0.55/0.81 (step @p356 :rule reordering :premises (@p355) :args ((or @t139 @t174))) % 0.55/0.81 (step @p357 :rule chain_m_resolution :premises (@p356 @p202) :args (@t139 @t175 @t176)) % 0.55/0.81 (step @p358 :rule bool-double-not-elim :args (@t145)) % 0.55/0.81 (step @p359 :rule nary_cong :premises (@p204 @p358) :args ((or @t174 (not @t146)))) % 0.55/0.81 (step @p360 :rule cnf_or_neg :args (@t174 14)) % 0.55/0.81 (step @p361 :rule eq_resolve :premises (@p360 @p359)) % 0.55/0.81 (step @p362 :rule reordering :premises (@p361) :args ((or @t145 @t174))) % 0.55/0.81 (step @p363 :rule chain_m_resolution :premises (@p362 @p202) :args (@t145 @t175 @t176)) % 0.55/0.81 (step @p364 :rule bool-double-not-elim :args (@t147)) % 0.55/0.81 (step @p365 :rule nary_cong :premises (@p204 @p364) :args ((or @t174 (not @t148)))) % 0.55/0.81 (step @p366 :rule cnf_or_neg :args (@t174 13)) % 0.55/0.81 (step @p367 :rule eq_resolve :premises (@p366 @p365)) % 0.55/0.81 (step @p368 :rule reordering :premises (@p367) :args ((or @t147 @t174))) % 0.55/0.81 (step @p369 :rule chain_m_resolution :premises (@p368 @p202) :args (@t147 @t175 @t176)) % 0.55/0.81 (step @p370 :rule bool-double-not-elim :args (@t158)) % 0.55/0.81 (step @p371 :rule nary_cong :premises (@p204 @p370) :args ((or @t174 (not @t159)))) % 0.55/0.81 (step @p372 :rule cnf_or_neg :args (@t174 7)) % 0.55/0.81 (step @p373 :rule eq_resolve :premises (@p372 @p371)) % 0.55/0.81 (step @p374 :rule reordering :premises (@p373) :args ((or @t158 @t174))) % 0.55/0.81 (step @p375 :rule chain_m_resolution :premises (@p374 @p202) :args (@t158 @t175 @t176)) % 0.55/0.81 (step @p376 :rule bool-double-not-elim :args (@t160)) % 0.55/0.81 (step @p377 :rule nary_cong :premises (@p204 @p376) :args ((or @t174 (not @t161)))) % 0.55/0.81 (step @p378 :rule cnf_or_neg :args (@t174 6)) % 0.55/0.81 (step @p379 :rule eq_resolve :premises (@p378 @p377)) % 0.55/0.81 (step @p380 :rule reordering :premises (@p379) :args ((or @t160 @t174))) % 0.55/0.81 (step @p381 :rule chain_m_resolution :premises (@p380 @p202) :args (@t160 @t175 @t176)) % 0.55/0.81 (step @p382 :rule cnf_or_pos :args (@t191)) % 0.55/0.81 (step @p383 :rule reordering :premises (@p382) :args ((or @t173 @t171 @t165 @t163 @t161 @t159 @t156 @t154 @t152 @t150 @t148 @t146 @t144 @t142 @t140 @t138 @t137 @t190 @t189 (not @t191)))) % 0.55/0.81 (step @p384 :rule chain_m_resolution :premises (@p383 @p275 @p269 @p257 @p251 @p381 @p375 @p245 @p239 @p233 @p227 @p369 @p363 @p221 @p215 @p209 @p357 @p354 @p352 @p342) :args (@t189 (@list false false false false false false false false false false false false false false false true true false false) (@list @t172 @t170 @t164 @t162 @t160 @t158 @t155 @t153 @t151 @t149 @t147 @t145 @t143 @t141 @t134 @t138 @t137 @t184 @t191))) % 0.55/0.81 (step @p385 :rule cnf_or_pos :args (@t192)) % 0.55/0.81 (step @p386 :rule reordering :premises (@p385) :args ((or @t171 @t167 @t188 @t186 @t185 @t193))) % 0.55/0.81 (step @p387 :rule chain_m_resolution :premises (@p386 @p269 @p263 @p384 @p285 @p278) :args (@t193 (@list false false true false false) (@list @t170 @t166 @t188 @t179 @t177))) % 0.55/0.81 (assume-push @p394 @t194) % 0.55/0.81 (step @p389 :rule instantiate :premises (@p33) :args ((@list @t117 @t111 @t112 @t110))) % 0.55/0.81 (step-pop @p395 :rule scope :premises (@p389)) % 0.55/0.81 (step @p390 :rule process_scope :premises (@p395) :args (@t192)) % 0.55/0.81 (step @p392 :rule implies_elim :premises (@p390)) % 0.55/0.81 (step @p393 false :rule chain_m_resolution :premises (@p392 @p387 @p33) :args (false (@list true false) (@list @t192 @t194))) % 0.55/0.81 ) % 0.55/0.81 % SZS output end Proof % 0.55/0.81 % cvc5 exiting %------------------------------------------------------------------------------