%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT005+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 1.64s 1.91s % Output : Proof 1.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT005+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.12/0.37 % Computer : n006.cluster.edu % 0.12/0.37 % Model : x86_64 x86_64 % 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.37 % Memory : 8046.5625MB % 0.12/0.37 % OS : Linux 6.8.0-71-generic % 0.12/0.37 % CPULimit : 300 % 0.12/0.37 % WCLimit : 300 % 0.12/0.37 % DateTime : Mon Sep 7 11:37:16 UTC 2026 % 0.12/0.37 % CPUTime : % 0.12/0.45 %----Proving TF0_NAR, FOF, or CNF % 1.64/1.91 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.64/1.91 % SZS status Theorem % 1.64/1.91 % SZS output start Proof % 1.64/1.91 ( % 1.64/1.91 (declare-sort $$unsorted 0) % 1.64/1.91 (declare-const tptp.class (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.64/1.91 (declare-const tptp.complexity (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.64/1.91 (declare-const tptp.reorganization_free (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.64/1.91 (declare-const tptp.reorganization (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.64/1.91 (declare-const tptp.reorganization_type (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.64/1.91 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 1.64/1.91 (declare-const tptp.survival_chance (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.64/1.91 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 1.64/1.91 (define @t1 () (@var "Y" $$unsorted)) % 1.64/1.91 (define @t2 () (@var "X" $$unsorted)) % 1.64/1.91 (define @t3 () (= @t2 @t1)) % 1.64/1.91 (define @t4 () (tptp.greater @t2 @t1)) % 1.64/1.91 (define @t5 () (@list @t2 @t1)) % 1.64/1.91 (define @t6 () (forall @t5 (not (and @t4 @t3)))) % 1.64/1.91 (define @t7 () (tptp.greater @t1 @t2)) % 1.64/1.91 (define @t8 () (forall @t5 (not (and @t4 @t7)))) % 1.64/1.91 (define @t9 () (@var "Z" $$unsorted)) % 1.64/1.91 (define @t10 () (tptp.greater @t2 @t9)) % 1.64/1.91 (define @t11 () (tptp.greater @t1 @t9)) % 1.64/1.91 (define @t12 () (and @t4 @t11)) % 1.64/1.91 (define @t13 () (forall (@list @t2 @t1 @t9) (=> @t12 @t10))) % 1.64/1.91 (define @t14 () (@var "T" $$unsorted)) % 1.64/1.91 (define @t15 () (@var "P" $$unsorted)) % 1.64/1.91 (define @t16 () (tptp.survival_chance @t2 @t15 @t14)) % 1.64/1.91 (define @t17 () (@list @t15)) % 1.64/1.91 (define @t18 () (exists @t17 @t16)) % 1.64/1.91 (define @t19 () (tptp.organization @t2 @t14)) % 1.64/1.91 (define @t20 () (=> @t19 @t18)) % 1.64/1.91 (define @t21 () (@list @t2 @t14)) % 1.64/1.91 (define @t22 () (forall @t21 @t20)) % 1.64/1.91 (define @t23 () (@var "T2" $$unsorted)) % 1.64/1.91 (define @t24 () (tptp.greater @t23 @t14)) % 1.64/1.91 (define @t25 () (@var "T1" $$unsorted)) % 1.64/1.91 (define @t26 () (tptp.greater @t14 @t25)) % 1.64/1.91 (define @t27 () (tptp.organization @t2 @t23)) % 1.64/1.91 (define @t28 () (tptp.organization @t2 @t25)) % 1.64/1.91 (define @t29 () (and @t28 @t27 @t26 @t24)) % 1.64/1.91 (define @t30 () (forall (@list @t2 @t14 @t25 @t23) (=> @t29 @t19))) % 1.64/1.91 (define @t31 () (@var "Ta" $$unsorted)) % 1.64/1.91 (define @t32 () (@var "Tb" $$unsorted)) % 1.64/1.91 (define @t33 () (tptp.greater @t32 @t31)) % 1.64/1.91 (define @t34 () (tptp.reorganization @t2 @t31 @t32)) % 1.64/1.91 (define @t35 () (forall (@list @t2 @t31 @t32) (=> @t34 @t33))) % 1.64/1.91 (define @t36 () (@var "P1" $$unsorted)) % 1.64/1.91 (define @t37 () (@var "P2" $$unsorted)) % 1.64/1.91 (define @t38 () (tptp.greater @t37 @t36)) % 1.64/1.91 (define @t39 () (tptp.greater @t23 @t25)) % 1.64/1.91 (define @t40 () (tptp.survival_chance @t2 @t37 @t23)) % 1.64/1.91 (define @t41 () (tptp.survival_chance @t2 @t36 @t25)) % 1.64/1.91 (define @t42 () (tptp.reorganization_free @t2 @t25 @t23)) % 1.64/1.91 (define @t43 () (and @t28 @t27 @t42 @t41 @t40 @t39)) % 1.64/1.91 (define @t44 () (forall (@list @t2 @t36 @t37 @t25 @t23) (=> @t43 @t38))) % 1.64/1.91 (define @t45 () (tptp.greater @t36 @t37)) % 1.64/1.91 (define @t46 () (tptp.greater @t23 @t32)) % 1.64/1.91 (define @t47 () (not @t46)) % 1.64/1.91 (define @t48 () (tptp.greater @t31 @t25)) % 1.64/1.91 (define @t49 () (not @t48)) % 1.64/1.91 (define @t50 () (and @t28 @t27 @t34 @t41 @t40 @t49 @t39 @t47)) % 1.64/1.91 (define @t51 () (forall (@list @t2 @t36 @t37 @t25 @t23 @t31 @t32) (=> @t50 @t45))) % 1.64/1.91 (define @t52 () (@var "Tc" $$unsorted)) % 1.64/1.91 (define @t53 () (tptp.greater @t52 @t32)) % 1.64/1.91 (define @t54 () (@var "C1" $$unsorted)) % 1.64/1.91 (define @t55 () (@var "C2" $$unsorted)) % 1.64/1.91 (define @t56 () (tptp.greater @t55 @t54)) % 1.64/1.91 (define @t57 () (tptp.complexity @t1 @t55 @t31)) % 1.64/1.91 (define @t58 () (tptp.complexity @t2 @t54 @t31)) % 1.64/1.91 (define @t59 () (@var "Re" $$unsorted)) % 1.64/1.91 (define @t60 () (tptp.reorganization_type @t1 @t59 @t31)) % 1.64/1.91 (define @t61 () (tptp.reorganization_type @t2 @t59 @t31)) % 1.64/1.91 (define @t62 () (tptp.reorganization @t1 @t31 @t52)) % 1.64/1.91 (define @t63 () (@var "C" $$unsorted)) % 1.64/1.91 (define @t64 () (tptp.class @t1 @t63 @t31)) % 1.64/1.91 (define @t65 () (tptp.class @t2 @t63 @t31)) % 1.64/1.91 (define @t66 () (tptp.organization @t1 @t52)) % 1.64/1.91 (define @t67 () (tptp.organization @t1 @t31)) % 1.64/1.91 (define @t68 () (tptp.organization @t2 @t31)) % 1.64/1.91 (define @t69 () (and @t68 @t67 @t66 @t65 @t64 @t34 @t62 @t61 @t60 @t58 @t57 @t56)) % 1.64/1.91 (define @t70 () (forall (@list @t2 @t1 @t59 @t63 @t54 @t55 @t31 @t32 @t52) (=> @t69 @t53))) % 1.64/1.91 (define @t71 () (= @t36 @t37)) % 1.64/1.91 (define @t72 () (or @t45 @t71)) % 1.64/1.91 (define @t73 () (tptp.survival_chance @t1 @t37 @t32)) % 1.64/1.92 (define @t74 () (tptp.survival_chance @t2 @t36 @t32)) % 1.64/1.92 (define @t75 () (tptp.survival_chance @t1 @t15 @t31)) % 1.64/1.92 (define @t76 () (tptp.survival_chance @t2 @t15 @t31)) % 1.64/1.92 (define @t77 () (tptp.organization @t1 @t32)) % 1.64/1.92 (define @t78 () (tptp.organization @t2 @t32)) % 1.64/1.92 (define @t79 () (and @t68 @t67 @t78 @t77 @t65 @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56)) % 1.64/1.92 (define @t80 () (@list @t2 @t1 @t59 @t63 @t15 @t36 @t37 @t54 @t55 @t31 @t32 @t52)) % 1.64/1.92 (define @t81 () (forall @t80 (=> @t79 @t72))) % 1.64/1.92 (define @t82 () (tptp.survival_chance @t1 @t37 @t52)) % 1.64/1.92 (define @t83 () (tptp.survival_chance @t2 @t36 @t52)) % 1.64/1.92 (define @t84 () (tptp.reorganization_free @t2 @t32 @t52)) % 1.64/1.92 (define @t85 () (tptp.organization @t2 @t52)) % 1.64/1.92 (define @t86 () (and @t68 @t67 @t85 @t66 @t65 @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56)) % 1.64/1.92 (define @t87 () (forall @t80 (=> @t86 @t45))) % 1.64/1.92 (define @t88 () (not @t87)) % 1.64/1.92 (define @t89 () (not @t39)) % 1.64/1.92 (define @t90 () (not @t40)) % 1.64/1.92 (define @t91 () (not @t41)) % 1.64/1.92 (define @t92 () (not @t34)) % 1.64/1.92 (define @t93 () (not @t27)) % 1.64/1.92 (define @t94 () (not @t28)) % 1.64/1.92 (define @t95 () (not @t47)) % 1.64/1.92 (define @t96 () (not @t49)) % 1.64/1.92 (define @t97 () (or @t94 @t93 @t92 @t91 @t90 @t96 @t89 @t95)) % 1.64/1.92 (define @t98 () (not @t56)) % 1.64/1.92 (define @t99 () (not @t57)) % 1.64/1.92 (define @t100 () (not @t58)) % 1.64/1.92 (define @t101 () (not @t82)) % 1.64/1.92 (define @t102 () (not @t83)) % 1.64/1.92 (define @t103 () (not @t84)) % 1.64/1.92 (define @t104 () (not @t60)) % 1.64/1.92 (define @t105 () (not @t61)) % 1.64/1.92 (define @t106 () (not @t62)) % 1.64/1.92 (define @t107 () (not @t75)) % 1.64/1.92 (define @t108 () (not @t76)) % 1.64/1.92 (define @t109 () (not @t64)) % 1.64/1.92 (define @t110 () (not @t65)) % 1.64/1.92 (define @t111 () (not @t66)) % 1.64/1.92 (define @t112 () (not @t85)) % 1.64/1.92 (define @t113 () (not @t67)) % 1.64/1.92 (define @t114 () (not @t68)) % 1.64/1.92 (define @t115 () (or @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t107 @t92 @t106 @t105 @t104 @t103 @t102 @t101 @t100 @t99 @t98 @t45)) % 1.64/1.92 (define @t116 () (forall @t80 @t115)) % 1.64/1.92 (define @t117 () (@quantifiers_skolemize @t116 11)) % 1.64/1.92 (define @t118 () (@quantifiers_skolemize @t116 9)) % 1.64/1.92 (define @t119 () (@quantifiers_skolemize @t116 10)) % 1.64/1.92 (define @t120 () (@quantifiers_skolemize @t116 6)) % 1.64/1.92 (define @t121 () (@quantifiers_skolemize @t116 1)) % 1.64/1.92 (define @t122 () (forall @t17 (not (tptp.survival_chance @t121 @t15 @t119)))) % 1.64/1.92 (define @t123 () (@quantifiers_skolemize @t122 0)) % 1.64/1.92 (define @t124 () (not (forall @t17 (not @t16)))) % 1.64/1.92 (define @t125 () (not @t24)) % 1.64/1.92 (define @t126 () (not @t26)) % 1.64/1.92 (define @t127 () (or @t94 @t93 @t126 @t125)) % 1.64/1.92 (define @t128 () (or @t114 @t113 @t111 @t110 @t109 @t92 @t106 @t105 @t104 @t100 @t99 @t98)) % 1.64/1.92 (define @t129 () (or @t100 (or @t99 @t98))) % 1.64/1.92 (define @t130 () (not (and @t58 @t57 @t56))) % 1.64/1.92 (define @t131 () (@quantifiers_skolemize @t116 8)) % 1.64/1.92 (define @t132 () (@quantifiers_skolemize @t116 7)) % 1.64/1.92 (define @t133 () (@quantifiers_skolemize @t116 3)) % 1.64/1.92 (define @t134 () (@quantifiers_skolemize @t116 2)) % 1.64/1.92 (define @t135 () (@quantifiers_skolemize @t116 0)) % 1.64/1.92 (define @t136 () (or @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t107 @t92 @t106 @t105 @t104 @t103 @t102 @t101 @t100 @t99 @t98)) % 1.64/1.92 (define @t137 () (tptp.greater @t131 @t132)) % 1.64/1.92 (define @t138 () (@quantifiers_skolemize @t116 5)) % 1.64/1.92 (define @t139 () (tptp.greater @t138 @t120)) % 1.64/1.92 (define @t140 () (not @t137)) % 1.64/1.92 (define @t141 () (tptp.complexity @t121 @t131 @t118)) % 1.64/1.92 (define @t142 () (not @t141)) % 1.64/1.92 (define @t143 () (tptp.complexity @t135 @t132 @t118)) % 1.64/1.92 (define @t144 () (not @t143)) % 1.64/1.92 (define @t145 () (tptp.survival_chance @t121 @t120 @t117)) % 1.64/1.92 (define @t146 () (not @t145)) % 1.64/1.92 (define @t147 () (tptp.survival_chance @t135 @t138 @t117)) % 1.64/1.92 (define @t148 () (not @t147)) % 1.64/1.92 (define @t149 () (tptp.reorganization_free @t135 @t119 @t117)) % 1.64/1.92 (define @t150 () (not @t149)) % 1.64/1.92 (define @t151 () (tptp.reorganization_type @t121 @t134 @t118)) % 1.64/1.92 (define @t152 () (not @t151)) % 1.64/1.92 (define @t153 () (tptp.reorganization_type @t135 @t134 @t118)) % 1.64/1.92 (define @t154 () (not @t153)) % 1.64/1.92 (define @t155 () (tptp.reorganization @t121 @t118 @t117)) % 1.64/1.92 (define @t156 () (not @t155)) % 1.64/1.92 (define @t157 () (tptp.reorganization @t135 @t118 @t119)) % 1.64/1.92 (define @t158 () (not @t157)) % 1.64/1.92 (define @t159 () (@quantifiers_skolemize @t116 4)) % 1.64/1.92 (define @t160 () (tptp.survival_chance @t121 @t159 @t118)) % 1.64/1.92 (define @t161 () (not @t160)) % 1.64/1.92 (define @t162 () (tptp.survival_chance @t135 @t159 @t118)) % 1.64/1.92 (define @t163 () (not @t162)) % 1.64/1.92 (define @t164 () (tptp.class @t121 @t133 @t118)) % 1.64/1.92 (define @t165 () (not @t164)) % 1.64/1.92 (define @t166 () (tptp.class @t135 @t133 @t118)) % 1.64/1.92 (define @t167 () (not @t166)) % 1.64/1.92 (define @t168 () (tptp.organization @t121 @t117)) % 1.64/1.92 (define @t169 () (not @t168)) % 1.64/1.92 (define @t170 () (tptp.organization @t135 @t117)) % 1.64/1.92 (define @t171 () (not @t170)) % 1.64/1.92 (define @t172 () (tptp.organization @t121 @t118)) % 1.64/1.92 (define @t173 () (not @t172)) % 1.64/1.92 (define @t174 () (tptp.organization @t135 @t118)) % 1.64/1.92 (define @t175 () (not @t174)) % 1.64/1.92 (define @t176 () (or @t175 @t173 @t171 @t169 @t167 @t165 @t163 @t161 @t158 @t156 @t154 @t152 @t150 @t148 @t146 @t144 @t142 @t140 @t139)) % 1.64/1.92 (define @t177 () (@list true)) % 1.64/1.92 (define @t178 () (@list @t176)) % 1.64/1.92 (define @t179 () (tptp.greater @t117 @t119)) % 1.64/1.92 (define @t180 () (or @t175 @t173 @t169 @t167 @t165 @t158 @t156 @t154 @t152 @t144 @t142 @t140 @t179)) % 1.64/1.92 (define @t181 () (tptp.greater @t119 @t118)) % 1.64/1.92 (define @t182 () (or @t158 @t181)) % 1.64/1.92 (define @t183 () (@list false false)) % 1.64/1.92 (define @t184 () (tptp.organization @t121 @t119)) % 1.64/1.92 (define @t185 () (not @t179)) % 1.64/1.92 (define @t186 () (not @t181)) % 1.64/1.92 (define @t187 () (or @t173 @t169 @t186 @t185 @t184)) % 1.64/1.92 (define @t188 () (@list false false false false false)) % 1.64/1.92 (define @t189 () (not @t122)) % 1.64/1.92 (define @t190 () (not @t184)) % 1.64/1.92 (define @t191 () (or @t190 @t189)) % 1.64/1.92 (define @t192 () (tptp.survival_chance @t121 @t123 @t119)) % 1.64/1.92 (define @t193 () (not @t192)) % 1.64/1.92 (define @t194 () (not @t193)) % 1.64/1.92 (define @t195 () (tptp.greater @t118 @t119)) % 1.64/1.92 (define @t196 () (not @t195)) % 1.64/1.92 (define @t197 () (or @t196 @t186)) % 1.64/1.92 (define @t198 () (not (tptp.greater @t1 @t1))) % 1.64/1.92 (define @t199 () (not (= @t1 @t1))) % 1.64/1.92 (define @t200 () (or @t198 @t199)) % 1.64/1.92 (define @t201 () (@list @t1)) % 1.64/1.92 (define @t202 () (not @t3)) % 1.64/1.92 (define @t203 () (not @t4)) % 1.64/1.92 (define @t204 () (or @t202 @t203 @t202)) % 1.64/1.92 (define @t205 () (@list @t2)) % 1.64/1.92 (define @t206 () (or @t203 @t202)) % 1.64/1.92 (define @t207 () (forall @t205 @t206)) % 1.64/1.92 (define @t208 () (forall @t201 @t207)) % 1.64/1.92 (define @t209 () (forall (@list @t1 @t2) @t206)) % 1.64/1.92 (define @t210 () (tptp.greater @t123 @t120)) % 1.64/1.92 (define @t211 () (tptp.greater @t117 @t117)) % 1.64/1.92 (define @t212 () (or @t190 @t169 @t156 @t193 @t146 @t195 @t185 @t211 @t210)) % 1.64/1.92 (define @t213 () (not @t73)) % 1.64/1.92 (define @t214 () (not @t74)) % 1.64/1.92 (define @t215 () (not @t77)) % 1.64/1.92 (define @t216 () (not @t78)) % 1.64/1.92 (define @t217 () (or @t114 @t113 @t216 @t215 @t110 @t109 @t108 @t107 @t92 @t106 @t105 @t104 @t214 @t213 @t100 @t99 @t98)) % 1.64/1.92 (define @t218 () (forall @t17 (not (tptp.survival_chance @t135 @t15 @t119)))) % 1.64/1.92 (define @t219 () (@quantifiers_skolemize @t218 0)) % 1.64/1.92 (define @t220 () (not @t11)) % 1.64/1.92 (define @t221 () (not @t42)) % 1.64/1.92 (define @t222 () (or @t94 @t93 @t221 @t91 @t90 @t89)) % 1.64/1.92 (define @t223 () (tptp.organization @t135 @t119)) % 1.64/1.92 (define @t224 () (or @t175 @t171 @t186 @t185 @t223)) % 1.64/1.92 (define @t225 () (not @t218)) % 1.64/1.92 (define @t226 () (not @t223)) % 1.64/1.92 (define @t227 () (or @t226 @t225)) % 1.64/1.92 (define @t228 () (tptp.survival_chance @t135 @t219 @t119)) % 1.64/1.92 (define @t229 () (not @t228)) % 1.64/1.92 (define @t230 () (not @t229)) % 1.64/1.92 (define @t231 () (tptp.greater @t138 @t219)) % 1.64/1.92 (define @t232 () (or @t226 @t171 @t150 @t229 @t148 @t185 @t231)) % 1.64/1.92 (define @t233 () (tptp.greater @t219 @t120)) % 1.64/1.92 (define @t234 () (not @t233)) % 1.64/1.92 (define @t235 () (not @t231)) % 1.64/1.92 (define @t236 () (or @t235 @t234 @t139)) % 1.64/1.92 (define @t237 () (@list true false false)) % 1.64/1.92 (define @t238 () (not @t210)) % 1.64/1.92 (define @t239 () (tptp.greater @t219 @t123)) % 1.64/1.92 (define @t240 () (not @t239)) % 1.64/1.92 (define @t241 () (or @t240 @t238 @t233)) % 1.64/1.92 (define @t242 () (= @t219 @t123)) % 1.64/1.92 (define @t243 () (or @t175 @t173 @t226 @t190 @t167 @t165 @t163 @t161 @t158 @t156 @t154 @t152 @t229 @t193 @t144 @t142 @t140 @t239 @t242)) % 1.64/1.92 (assume @p1 @t6) % 1.64/1.92 (assume @p2 @t8) % 1.64/1.92 (assume @p3 @t13) % 1.64/1.92 (assume @p4 @t22) % 1.64/1.92 (assume @p5 @t30) % 1.64/1.92 (assume @p6 @t35) % 1.64/1.92 (assume @p7 @t44) % 1.64/1.92 (assume @p8 @t51) % 1.64/1.92 (assume @p9 @t70) % 1.64/1.92 (assume @p10 @t81) % 1.64/1.92 (assume @p11 @t88) % 1.64/1.92 (assume @p12 true) % 1.64/1.92 (step @p13 :rule evaluate :args ((= false true))) % 1.64/1.92 (step @p14 :rule aci_norm :args ((= (or (or @t94 @t93 @t92 @t91 @t90 @t48 @t89 @t46) @t45) (or @t94 @t93 @t92 @t91 @t90 @t48 @t89 @t46 @t45)))) % 1.64/1.92 (step @p15 :rule refl :args (@t45)) % 1.64/1.92 (step @p16 :rule bool-double-not-elim :args (@t46)) % 1.64/1.92 (step @p17 :rule refl :args (@t89)) % 1.64/1.92 (step @p18 :rule bool-double-not-elim :args (@t48)) % 1.64/1.92 (step @p19 :rule refl :args (@t90)) % 1.64/1.92 (step @p20 :rule refl :args (@t91)) % 1.64/1.92 (step @p21 :rule refl :args (@t92)) % 1.64/1.92 (step @p22 :rule refl :args (@t93)) % 1.64/1.92 (step @p23 :rule refl :args (@t94)) % 1.64/1.92 (step @p24 :rule nary_cong :premises (@p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16) :args (@t97)) % 1.64/1.92 (step @p25 :rule aci_norm :args ((= (or @t94 (or @t93 (or @t92 (or @t91 (or @t90 (or @t96 (or @t89 @t95))))))) @t97))) % 1.64/1.92 (step @p26 :rule trans :premises (@p25 @p24)) % 1.64/1.92 (step @p27 :rule bool-and-de-morgan :args (@t39 @t47 true)) % 1.64/1.92 (step @p28 :rule refl :args (@t96)) % 1.64/1.92 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t96 (not (and @t39 @t47))))) % 1.64/1.92 (step @p30 :rule bool-and-de-morgan :args (@t49 @t39 (and @t47))) % 1.64/1.92 (step @p31 :rule trans :premises (@p30 @p29)) % 1.64/1.92 (step @p32 :rule nary_cong :premises (@p19 @p31) :args ((or @t90 (not (and @t49 @t39 @t47))))) % 1.64/1.92 (step @p33 :rule bool-and-de-morgan :args (@t40 @t49 (and @t39 @t47))) % 1.64/1.92 (step @p34 :rule trans :premises (@p33 @p32)) % 1.64/1.92 (step @p35 :rule nary_cong :premises (@p20 @p34) :args ((or @t91 (not (and @t40 @t49 @t39 @t47))))) % 1.64/1.92 (step @p36 :rule bool-and-de-morgan :args (@t41 @t40 (and @t49 @t39 @t47))) % 1.64/1.92 (step @p37 :rule trans :premises (@p36 @p35)) % 1.64/1.92 (step @p38 :rule nary_cong :premises (@p21 @p37) :args ((or @t92 (not (and @t41 @t40 @t49 @t39 @t47))))) % 1.64/1.92 (step @p39 :rule bool-and-de-morgan :args (@t34 @t41 (and @t40 @t49 @t39 @t47))) % 1.64/1.92 (step @p40 :rule trans :premises (@p39 @p38)) % 1.64/1.92 (step @p41 :rule nary_cong :premises (@p22 @p40) :args ((or @t93 (not (and @t34 @t41 @t40 @t49 @t39 @t47))))) % 1.64/1.92 (step @p42 :rule bool-and-de-morgan :args (@t27 @t34 (and @t41 @t40 @t49 @t39 @t47))) % 1.64/1.92 (step @p43 :rule trans :premises (@p42 @p41)) % 1.64/1.92 (step @p44 :rule nary_cong :premises (@p23 @p43) :args ((or @t94 (not (and @t27 @t34 @t41 @t40 @t49 @t39 @t47))))) % 1.64/1.92 (step @p45 :rule bool-and-de-morgan :args (@t28 @t27 (and @t34 @t41 @t40 @t49 @t39 @t47))) % 1.64/1.92 (step @p46 :rule trans :premises (@p45 @p44)) % 1.64/1.92 (step @p47 :rule trans :premises (@p46 @p26)) % 1.64/1.92 (step @p48 :rule nary_cong :premises (@p47 @p15) :args ((or (not @t50) @t45))) % 1.64/1.92 (step @p49 :rule trans :premises (@p48 @p14)) % 1.64/1.92 (step @p50 :rule bool-impl-elim :args (@t50 @t45)) % 1.64/1.92 (step @p51 :rule trans :premises (@p50 @p49)) % 1.64/1.92 (step @p52 :rule cong :premises (@p51) :args (@t51)) % 1.64/1.92 (step @p53 :rule eq_resolve :premises (@p8 @p52)) % 1.64/1.92 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t121 @t123 @t120 @t119 @t117 @t118 @t117))) % 1.64/1.92 (step @p55 :rule bool-impl-elim :args (@t19 @t124)) % 1.64/1.92 (step @p56 :rule cong :premises (@p55) :args ((forall @t21 (=> @t19 @t124)))) % 1.64/1.92 (step @p57 :rule exists-elim :args ((= @t18 @t124))) % 1.64/1.92 (step @p58 :rule refl :args (@t19)) % 1.64/1.92 (step @p59 :rule cong :premises (@p58 @p57) :args (@t20)) % 1.64/1.92 (step @p60 :rule cong :premises (@p59) :args (@t22)) % 1.64/1.92 (step @p61 :rule trans :premises (@p60 @p56)) % 1.64/1.92 (step @p62 :rule eq_resolve :premises (@p4 @p61)) % 1.64/1.92 (step @p63 :rule instantiate :premises (@p62) :args ((@list @t121 @t119))) % 1.64/1.92 (step @p64 :rule aci_norm :args ((= (or @t127 @t19) (or @t94 @t93 @t126 @t125 @t19)))) % 1.64/1.92 (step @p65 :rule refl :args (@t19)) % 1.64/1.92 (step @p66 :rule aci_norm :args ((= (or @t94 (or @t93 (or @t126 @t125))) @t127))) % 1.64/1.92 (step @p67 :rule bool-and-de-morgan :args (@t26 @t24 true)) % 1.64/1.92 (step @p68 :rule nary_cong :premises (@p22 @p67) :args ((or @t93 (not (and @t26 @t24))))) % 1.64/1.92 (step @p69 :rule bool-and-de-morgan :args (@t27 @t26 (and @t24))) % 1.64/1.92 (step @p70 :rule trans :premises (@p69 @p68)) % 1.64/1.92 (step @p71 :rule nary_cong :premises (@p23 @p70) :args ((or @t94 (not (and @t27 @t26 @t24))))) % 1.64/1.92 (step @p72 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t24))) % 1.64/1.92 (step @p73 :rule trans :premises (@p72 @p71)) % 1.64/1.92 (step @p74 :rule trans :premises (@p73 @p66)) % 1.64/1.92 (step @p75 :rule nary_cong :premises (@p74 @p65) :args ((or (not @t29) @t19))) % 1.64/1.92 (step @p76 :rule trans :premises (@p75 @p64)) % 1.64/1.92 (step @p77 :rule bool-impl-elim :args (@t29 @t19)) % 1.64/1.92 (step @p78 :rule trans :premises (@p77 @p76)) % 1.64/1.92 (step @p79 :rule cong :premises (@p78) :args (@t30)) % 1.64/1.92 (step @p80 :rule eq_resolve :premises (@p5 @p79)) % 1.64/1.92 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t121 @t119 @t118 @t117))) % 1.64/1.92 (step @p82 :rule aci_norm :args ((= (or @t128 @t53) (or @t114 @t113 @t111 @t110 @t109 @t92 @t106 @t105 @t104 @t100 @t99 @t98 @t53)))) % 1.64/1.92 (step @p83 :rule refl :args (@t53)) % 1.64/1.92 (step @p84 :rule aci_norm :args ((= (or @t114 (or @t113 (or @t111 (or @t110 (or @t109 (or @t92 (or @t106 (or @t105 (or @t104 @t129))))))))) @t128))) % 1.64/1.92 (step @p85 :rule bool-and-de-morgan :args (@t57 @t56 true)) % 1.64/1.92 (step @p86 :rule refl :args (@t100)) % 1.64/1.92 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t100 (not (and @t57 @t56))))) % 1.64/1.92 (step @p88 :rule bool-and-de-morgan :args (@t58 @t57 (and @t56))) % 1.64/1.92 (step @p89 :rule trans :premises (@p88 @p87)) % 1.64/1.92 (step @p90 :rule refl :args (@t104)) % 1.64/1.92 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t104 @t130))) % 1.64/1.92 (step @p92 :rule bool-and-de-morgan :args (@t60 @t58 (and @t57 @t56))) % 1.64/1.92 (step @p93 :rule trans :premises (@p92 @p91)) % 1.64/1.92 (step @p94 :rule refl :args (@t105)) % 1.64/1.92 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t105 (not (and @t60 @t58 @t57 @t56))))) % 1.64/1.92 (step @p96 :rule bool-and-de-morgan :args (@t61 @t60 (and @t58 @t57 @t56))) % 1.64/1.92 (step @p97 :rule trans :premises (@p96 @p95)) % 1.64/1.92 (step @p98 :rule refl :args (@t106)) % 1.64/1.92 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t106 (not (and @t61 @t60 @t58 @t57 @t56))))) % 1.64/1.92 (step @p100 :rule bool-and-de-morgan :args (@t62 @t61 (and @t60 @t58 @t57 @t56))) % 1.64/1.92 (step @p101 :rule trans :premises (@p100 @p99)) % 1.64/1.92 (step @p102 :rule nary_cong :premises (@p21 @p101) :args ((or @t92 (not (and @t62 @t61 @t60 @t58 @t57 @t56))))) % 1.64/1.92 (step @p103 :rule bool-and-de-morgan :args (@t34 @t62 (and @t61 @t60 @t58 @t57 @t56))) % 1.64/1.92 (step @p104 :rule trans :premises (@p103 @p102)) % 1.64/1.92 (step @p105 :rule refl :args (@t109)) % 1.64/1.92 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t109 (not (and @t34 @t62 @t61 @t60 @t58 @t57 @t56))))) % 1.64/1.92 (step @p107 :rule bool-and-de-morgan :args (@t64 @t34 (and @t62 @t61 @t60 @t58 @t57 @t56))) % 1.64/1.92 (step @p108 :rule trans :premises (@p107 @p106)) % 1.64/1.92 (step @p109 :rule refl :args (@t110)) % 1.64/1.92 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t110 (not (and @t64 @t34 @t62 @t61 @t60 @t58 @t57 @t56))))) % 1.64/1.92 (step @p111 :rule bool-and-de-morgan :args (@t65 @t64 (and @t34 @t62 @t61 @t60 @t58 @t57 @t56))) % 1.64/1.92 (step @p112 :rule trans :premises (@p111 @p110)) % 1.64/1.92 (step @p113 :rule refl :args (@t111)) % 1.64/1.92 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t111 (not (and @t65 @t64 @t34 @t62 @t61 @t60 @t58 @t57 @t56))))) % 1.64/1.92 (step @p115 :rule bool-and-de-morgan :args (@t66 @t65 (and @t64 @t34 @t62 @t61 @t60 @t58 @t57 @t56))) % 1.64/1.92 (step @p116 :rule trans :premises (@p115 @p114)) % 1.64/1.92 (step @p117 :rule refl :args (@t113)) % 1.64/1.92 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or @t113 (not (and @t66 @t65 @t64 @t34 @t62 @t61 @t60 @t58 @t57 @t56))))) % 1.64/1.92 (step @p119 :rule bool-and-de-morgan :args (@t67 @t66 (and @t65 @t64 @t34 @t62 @t61 @t60 @t58 @t57 @t56))) % 1.64/1.92 (step @p120 :rule trans :premises (@p119 @p118)) % 1.64/1.92 (step @p121 :rule refl :args (@t114)) % 1.64/1.92 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t114 (not (and @t67 @t66 @t65 @t64 @t34 @t62 @t61 @t60 @t58 @t57 @t56))))) % 1.64/1.92 (step @p123 :rule bool-and-de-morgan :args (@t68 @t67 (and @t66 @t65 @t64 @t34 @t62 @t61 @t60 @t58 @t57 @t56))) % 1.64/1.92 (step @p124 :rule trans :premises (@p123 @p122)) % 1.64/1.92 (step @p125 :rule trans :premises (@p124 @p84)) % 1.64/1.92 (step @p126 :rule nary_cong :premises (@p125 @p83) :args ((or (not @t69) @t53))) % 1.64/1.92 (step @p127 :rule trans :premises (@p126 @p82)) % 1.64/1.92 (step @p128 :rule bool-impl-elim :args (@t69 @t53)) % 1.64/1.92 (step @p129 :rule trans :premises (@p128 @p127)) % 1.64/1.92 (step @p130 :rule cong :premises (@p129) :args (@t70)) % 1.64/1.92 (step @p131 :rule eq_resolve :premises (@p9 @p130)) % 1.64/1.92 (step @p132 :rule instantiate :premises (@p131) :args ((@list @t135 @t121 @t134 @t133 @t132 @t131 @t118 @t119 @t117))) % 1.64/1.92 (step @p133 :rule aci_norm :args ((= (or @t136 @t45) @t115))) % 1.64/1.92 (step @p134 :rule aci_norm :args ((= (or @t114 (or @t113 (or @t112 (or @t111 (or @t110 (or @t109 (or @t108 (or @t107 (or @t92 (or @t106 (or @t105 (or @t104 (or @t103 (or @t102 (or @t101 @t129))))))))))))))) @t136))) % 1.64/1.92 (step @p135 :rule refl :args (@t101)) % 1.64/1.92 (step @p136 :rule nary_cong :premises (@p135 @p89) :args ((or @t101 @t130))) % 1.64/1.92 (step @p137 :rule bool-and-de-morgan :args (@t82 @t58 (and @t57 @t56))) % 1.64/1.92 (step @p138 :rule trans :premises (@p137 @p136)) % 1.64/1.92 (step @p139 :rule refl :args (@t102)) % 1.64/1.92 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t102 (not (and @t82 @t58 @t57 @t56))))) % 1.64/1.92 (step @p141 :rule bool-and-de-morgan :args (@t83 @t82 (and @t58 @t57 @t56))) % 1.64/1.92 (step @p142 :rule trans :premises (@p141 @p140)) % 1.64/1.92 (step @p143 :rule refl :args (@t103)) % 1.64/1.92 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t103 (not (and @t83 @t82 @t58 @t57 @t56))))) % 1.64/1.92 (step @p145 :rule bool-and-de-morgan :args (@t84 @t83 (and @t82 @t58 @t57 @t56))) % 1.64/1.92 (step @p146 :rule trans :premises (@p145 @p144)) % 1.64/1.92 (step @p147 :rule nary_cong :premises (@p90 @p146) :args ((or @t104 (not (and @t84 @t83 @t82 @t58 @t57 @t56))))) % 1.64/1.92 (step @p148 :rule bool-and-de-morgan :args (@t60 @t84 (and @t83 @t82 @t58 @t57 @t56))) % 1.64/1.92 (step @p149 :rule trans :premises (@p148 @p147)) % 1.64/1.92 (step @p150 :rule nary_cong :premises (@p94 @p149) :args ((or @t105 (not (and @t60 @t84 @t83 @t82 @t58 @t57 @t56))))) % 1.64/1.92 (step @p151 :rule bool-and-de-morgan :args (@t61 @t60 (and @t84 @t83 @t82 @t58 @t57 @t56))) % 1.64/1.92 (step @p152 :rule trans :premises (@p151 @p150)) % 1.64/1.92 (step @p153 :rule nary_cong :premises (@p98 @p152) :args ((or @t106 (not (and @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))))) % 1.64/1.92 (step @p154 :rule bool-and-de-morgan :args (@t62 @t61 (and @t60 @t84 @t83 @t82 @t58 @t57 @t56))) % 1.64/1.92 (step @p155 :rule trans :premises (@p154 @p153)) % 1.64/1.92 (step @p156 :rule nary_cong :premises (@p21 @p155) :args ((or @t92 (not (and @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))))) % 1.64/1.92 (step @p157 :rule bool-and-de-morgan :args (@t34 @t62 (and @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))) % 1.64/1.92 (step @p158 :rule trans :premises (@p157 @p156)) % 1.64/1.92 (step @p159 :rule refl :args (@t107)) % 1.64/1.92 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or @t107 (not (and @t34 @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))))) % 1.64/1.92 (step @p161 :rule bool-and-de-morgan :args (@t75 @t34 (and @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))) % 1.64/1.92 (step @p162 :rule trans :premises (@p161 @p160)) % 1.64/1.92 (step @p163 :rule refl :args (@t108)) % 1.64/1.92 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or @t108 (not (and @t75 @t34 @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))))) % 1.64/1.92 (step @p165 :rule bool-and-de-morgan :args (@t76 @t75 (and @t34 @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))) % 1.64/1.92 (step @p166 :rule trans :premises (@p165 @p164)) % 1.64/1.92 (step @p167 :rule nary_cong :premises (@p105 @p166) :args ((or @t109 (not (and @t76 @t75 @t34 @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))))) % 1.64/1.92 (step @p168 :rule bool-and-de-morgan :args (@t64 @t76 (and @t75 @t34 @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))) % 1.64/1.92 (step @p169 :rule trans :premises (@p168 @p167)) % 1.64/1.92 (step @p170 :rule nary_cong :premises (@p109 @p169) :args ((or @t110 (not (and @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))))) % 1.64/1.92 (step @p171 :rule bool-and-de-morgan :args (@t65 @t64 (and @t76 @t75 @t34 @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))) % 1.64/1.92 (step @p172 :rule trans :premises (@p171 @p170)) % 1.64/1.92 (step @p173 :rule nary_cong :premises (@p113 @p172) :args ((or @t111 (not (and @t65 @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))))) % 1.64/1.92 (step @p174 :rule bool-and-de-morgan :args (@t66 @t65 (and @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))) % 1.64/1.92 (step @p175 :rule trans :premises (@p174 @p173)) % 1.64/1.92 (step @p176 :rule refl :args (@t112)) % 1.64/1.92 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or @t112 (not (and @t66 @t65 @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))))) % 1.64/1.92 (step @p178 :rule bool-and-de-morgan :args (@t85 @t66 (and @t65 @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))) % 1.64/1.92 (step @p179 :rule trans :premises (@p178 @p177)) % 1.64/1.92 (step @p180 :rule nary_cong :premises (@p117 @p179) :args ((or @t113 (not (and @t85 @t66 @t65 @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))))) % 1.64/1.92 (step @p181 :rule bool-and-de-morgan :args (@t67 @t85 (and @t66 @t65 @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))) % 1.64/1.92 (step @p182 :rule trans :premises (@p181 @p180)) % 1.64/1.92 (step @p183 :rule nary_cong :premises (@p121 @p182) :args ((or @t114 (not (and @t67 @t85 @t66 @t65 @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))))) % 1.64/1.92 (step @p184 :rule bool-and-de-morgan :args (@t68 @t67 (and @t85 @t66 @t65 @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t84 @t83 @t82 @t58 @t57 @t56))) % 1.64/1.92 (step @p185 :rule trans :premises (@p184 @p183)) % 1.64/1.92 (step @p186 :rule trans :premises (@p185 @p134)) % 1.64/1.92 (step @p187 :rule nary_cong :premises (@p186 @p15) :args ((or (not @t86) @t45))) % 1.64/1.92 (step @p188 :rule trans :premises (@p187 @p133)) % 1.64/1.92 (step @p189 :rule bool-impl-elim :args (@t86 @t45)) % 1.64/1.92 (step @p190 :rule trans :premises (@p189 @p188)) % 1.64/1.92 (step @p191 :rule cong :premises (@p190) :args (@t87)) % 1.64/1.92 (step @p192 :rule cong :premises (@p191) :args (@t88)) % 1.64/1.92 (step @p193 :rule eq_resolve :premises (@p11 @p192)) % 1.64/1.92 (step @p194 :rule skolemize :premises (@p193)) % 1.64/1.92 (step @p195 :rule bool-double-not-elim :args (@t137)) % 1.64/1.92 (step @p196 :rule refl :args (@t176)) % 1.64/1.92 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or @t176 (not @t140)))) % 1.64/1.92 (step @p198 :rule cnf_or_neg :args (@t176 17)) % 1.64/1.92 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 1.64/1.92 (step @p200 :rule reordering :premises (@p199) :args ((or @t137 @t176))) % 1.64/1.92 (step @p201 :rule chain_m_resolution :premises (@p200 @p194) :args (@t137 @t177 @t178)) % 1.64/1.92 (step @p202 :rule 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@p266 :rule reordering :premises (@p265) :args ((or @t174 @t176))) % 1.64/1.92 (step @p267 :rule chain_m_resolution :premises (@p266 @p194) :args (@t174 @t177 @t178)) % 1.64/1.92 (step @p268 :rule cnf_or_pos :args (@t180)) % 1.64/1.92 (step @p269 :rule reordering :premises (@p268) :args ((or @t175 @t173 @t169 @t167 @t165 @t158 @t156 @t154 @t152 @t144 @t142 @t140 @t179 (not @t180)))) % 1.64/1.92 (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p261 @p255 @p249 @p243 @p237 @p231 @p225 @p219 @p213 @p207 @p201 @p132) :args (@t179 (@list false false false false false false false false false false false false false) (@list @t174 @t172 @t168 @t166 @t164 @t157 @t155 @t153 @t151 @t143 @t141 @t137 @t180))) % 1.64/1.92 (step @p271 :rule bool-impl-elim :args (@t34 @t33)) % 1.64/1.92 (step @p272 :rule cong :premises (@p271) :args (@t35)) % 1.64/1.92 (step @p273 :rule eq_resolve :premises (@p6 @p272)) % 1.64/1.92 (step @p274 :rule instantiate :premises (@p273) :args ((@list @t135 @t118 @t119))) % 1.64/1.92 (step @p275 :rule cnf_or_pos :args (@t182)) % 1.64/1.92 (step @p276 :rule reordering :premises (@p275) :args ((or @t158 @t181 (not @t182)))) % 1.64/1.92 (step @p277 :rule chain_m_resolution :premises (@p276 @p237 @p274) :args (@t181 @t183 (@list @t157 @t182))) % 1.64/1.92 (step @p278 :rule cnf_or_pos :args (@t187)) % 1.64/1.92 (step @p279 :rule reordering :premises (@p278) :args ((or @t173 @t169 @t186 @t185 @t184 (not @t187)))) % 1.64/1.92 (step @p280 :rule chain_m_resolution :premises (@p279 @p261 @p255 @p277 @p270 @p81) :args (@t184 @t188 (@list @t172 @t168 @t181 @t179 @t187))) % 1.64/1.92 (step @p281 :rule cnf_or_pos :args (@t191)) % 1.64/1.92 (step @p282 :rule reordering :premises (@p281) :args ((or @t190 @t189 (not @t191)))) % 1.64/1.92 (step @p283 :rule chain_m_resolution :premises (@p282 @p280 @p63) :args (@t189 @t183 (@list @t184 @t191))) % 1.64/1.92 (step @p284 :rule refl :args (@t192)) % 1.64/1.92 (step @p285 :rule bool-double-not-elim :args (@t122)) % 1.64/1.92 (step @p286 :rule nary_cong :premises (@p285 @p284) :args ((or (not @t189) @t192))) % 1.64/1.92 (step @p287 :rule bool-double-not-elim :args (@t192)) % 1.64/1.92 (step @p288 :rule refl :args (@t189)) % 1.64/1.92 (step @p289 :rule cong :premises (@p288 @p287) :args ((=> @t189 @t194))) % 1.64/1.92 (assume-push @p504 @t189) % 1.64/1.92 (step @p291 :rule skolemize :premises (@p283)) % 1.64/1.92 (step-pop @p505 :rule scope :premises (@p291)) % 1.64/1.92 (step @p292 :rule process_scope :premises (@p505) :args (@t194)) % 1.64/1.92 (step @p294 :rule eq_resolve :premises (@p292 @p289)) % 1.64/1.92 (step @p295 :rule implies_elim :premises (@p294)) % 1.64/1.92 (step @p296 :rule eq_resolve :premises (@p295 @p286)) % 1.64/1.92 (step @p297 :rule chain_m_resolution :premises (@p296 @p283) :args (@t192 @t177 (@list @t122))) % 1.64/1.92 (step @p298 :rule bool-and-de-morgan :args (@t4 @t7 true)) % 1.64/1.92 (step @p299 :rule cong :premises (@p298) :args (@t8)) % 1.64/1.92 (step @p300 :rule 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@p314 :rule quant-var-elim-eq :args ((= (forall @t205 @t204) @t200))) % 1.64/1.92 (step @p315 :rule aci_norm :args ((= @t206 @t204))) % 1.64/1.92 (step @p316 :rule cong :premises (@p315) :args (@t207)) % 1.64/1.92 (step @p317 :rule trans :premises (@p316 @p314)) % 1.64/1.92 (step @p318 :rule cong :premises (@p317) :args (@t208)) % 1.64/1.92 (step @p319 :rule quant-merge-prenex :args ((= @t208 @t209))) % 1.64/1.92 (step @p320 :rule symm :premises (@p319)) % 1.64/1.92 (step @p321 :rule quant_var_reordering :args ((= (forall @t5 @t206) @t209))) % 1.64/1.92 (step @p322 :rule trans :premises (@p321 @p320 @p318)) % 1.64/1.92 (step @p323 :rule trans :premises (@p322 @p313)) % 1.64/1.92 (step @p324 :rule bool-and-de-morgan :args (@t4 @t3 true)) % 1.64/1.92 (step @p325 :rule cong :premises (@p324) :args (@t6)) % 1.64/1.92 (step @p326 :rule trans :premises (@p325 @p323)) % 1.64/1.92 (step @p327 :rule eq_resolve :premises (@p1 @p326)) % 1.64/1.92 (step @p328 :rule instantiate :premises (@p327) :args ((@list @t117))) % 1.64/1.92 (step @p329 :rule bool-double-not-elim :args (@t145)) % 1.64/1.92 (step @p330 :rule nary_cong :premises (@p196 @p329) :args ((or @t176 (not @t146)))) % 1.64/1.92 (step @p331 :rule cnf_or_neg :args (@t176 14)) % 1.64/1.92 (step @p332 :rule eq_resolve :premises (@p331 @p330)) % 1.64/1.92 (step @p333 :rule reordering :premises (@p332) :args ((or @t145 @t176))) % 1.64/1.92 (step @p334 :rule chain_m_resolution :premises (@p333 @p194) :args (@t145 @t177 @t178)) % 1.64/1.92 (step @p335 :rule cnf_or_pos :args (@t212)) % 1.64/1.92 (step @p336 :rule reordering :premises (@p335) :args ((or @t169 @t156 @t146 @t211 @t195 @t185 @t190 @t193 @t210 (not @t212)))) % 1.64/1.92 (step @p337 :rule chain_m_resolution :premises (@p336 @p255 @p231 @p334 @p328 @p304 @p270 @p280 @p297 @p54) :args (@t210 (@list false false false true true false false false false) (@list @t168 @t155 @t145 @t211 @t195 @t179 @t184 @t192 @t212))) % 1.64/1.92 (step @p338 :rule true_intro :premises (@p337)) % 1.64/1.92 (step @p339 :rule refl :args (@t120)) % 1.64/1.92 (step @p340 :rule aci_norm :args ((= (or @t217 @t72) (or @t114 @t113 @t216 @t215 @t110 @t109 @t108 @t107 @t92 @t106 @t105 @t104 @t214 @t213 @t100 @t99 @t98 @t45 @t71)))) % 1.64/1.92 (step @p341 :rule refl :args (@t72)) % 1.64/1.92 (step @p342 :rule aci_norm :args ((= (or @t114 (or @t113 (or @t216 (or @t215 (or @t110 (or @t109 (or @t108 (or @t107 (or @t92 (or @t106 (or @t105 (or @t104 (or @t214 (or @t213 @t129)))))))))))))) @t217))) % 1.64/1.92 (step @p343 :rule refl :args (@t213)) % 1.64/1.92 (step @p344 :rule nary_cong :premises (@p343 @p89) :args ((or @t213 @t130))) % 1.64/1.92 (step @p345 :rule bool-and-de-morgan :args (@t73 @t58 (and @t57 @t56))) % 1.64/1.92 (step @p346 :rule trans :premises (@p345 @p344)) % 1.64/1.92 (step @p347 :rule refl :args (@t214)) % 1.64/1.92 (step @p348 :rule nary_cong :premises (@p347 @p346) :args ((or @t214 (not (and @t73 @t58 @t57 @t56))))) % 1.64/1.92 (step @p349 :rule 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:rule nary_cong :premises (@p21 @p359) :args ((or @t92 (not (and @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))))) % 1.64/1.92 (step @p361 :rule bool-and-de-morgan :args (@t34 @t62 (and @t61 @t60 @t74 @t73 @t58 @t57 @t56))) % 1.64/1.92 (step @p362 :rule trans :premises (@p361 @p360)) % 1.64/1.92 (step @p363 :rule nary_cong :premises (@p159 @p362) :args ((or @t107 (not (and @t34 @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))))) % 1.64/1.92 (step @p364 :rule bool-and-de-morgan :args (@t75 @t34 (and @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))) % 1.64/1.92 (step @p365 :rule trans :premises (@p364 @p363)) % 1.64/1.92 (step @p366 :rule nary_cong :premises (@p163 @p365) :args ((or @t108 (not (and @t75 @t34 @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))))) % 1.64/1.92 (step @p367 :rule bool-and-de-morgan :args (@t76 @t75 (and @t34 @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))) % 1.64/1.92 (step @p368 :rule trans :premises (@p367 @p366)) % 1.64/1.92 (step @p369 :rule nary_cong :premises (@p105 @p368) :args ((or @t109 (not (and @t76 @t75 @t34 @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))))) % 1.64/1.92 (step @p370 :rule bool-and-de-morgan :args (@t64 @t76 (and @t75 @t34 @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))) % 1.64/1.92 (step @p371 :rule trans :premises (@p370 @p369)) % 1.64/1.92 (step @p372 :rule nary_cong :premises (@p109 @p371) :args ((or @t110 (not (and @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))))) % 1.64/1.92 (step @p373 :rule bool-and-de-morgan :args (@t65 @t64 (and @t76 @t75 @t34 @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))) % 1.64/1.92 (step @p374 :rule trans :premises (@p373 @p372)) % 1.64/1.92 (step @p375 :rule refl :args (@t215)) % 1.64/1.92 (step @p376 :rule nary_cong :premises (@p375 @p374) :args ((or @t215 (not (and @t65 @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))))) % 1.64/1.92 (step @p377 :rule bool-and-de-morgan :args (@t77 @t65 (and @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))) % 1.64/1.92 (step @p378 :rule trans :premises (@p377 @p376)) % 1.64/1.92 (step @p379 :rule refl :args (@t216)) % 1.64/1.92 (step @p380 :rule nary_cong :premises (@p379 @p378) :args ((or @t216 (not (and @t77 @t65 @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))))) % 1.64/1.92 (step @p381 :rule bool-and-de-morgan :args (@t78 @t77 (and @t65 @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))) % 1.64/1.92 (step @p382 :rule trans :premises (@p381 @p380)) % 1.64/1.92 (step @p383 :rule nary_cong :premises (@p117 @p382) :args ((or @t113 (not (and @t78 @t77 @t65 @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))))) % 1.64/1.92 (step @p384 :rule bool-and-de-morgan :args (@t67 @t78 (and @t77 @t65 @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))) % 1.64/1.92 (step @p385 :rule trans :premises (@p384 @p383)) % 1.64/1.92 (step @p386 :rule nary_cong :premises (@p121 @p385) :args ((or @t114 (not (and @t67 @t78 @t77 @t65 @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))))) % 1.64/1.92 (step @p387 :rule bool-and-de-morgan :args (@t68 @t67 (and @t78 @t77 @t65 @t64 @t76 @t75 @t34 @t62 @t61 @t60 @t74 @t73 @t58 @t57 @t56))) % 1.64/1.92 (step @p388 :rule trans :premises (@p387 @p386)) % 1.64/1.92 (step @p389 :rule trans :premises (@p388 @p342)) % 1.64/1.92 (step @p390 :rule nary_cong :premises (@p389 @p341) :args ((or (not @t79) @t72))) % 1.64/1.92 (step @p391 :rule trans :premises (@p390 @p340)) % 1.64/1.92 (step @p392 :rule bool-impl-elim :args (@t79 @t72)) % 1.64/1.92 (step @p393 :rule trans :premises (@p392 @p391)) % 1.64/1.92 (step @p394 :rule cong :premises (@p393) :args (@t81)) % 1.64/1.92 (step @p395 :rule eq_resolve :premises (@p10 @p394)) % 1.64/1.92 (step @p396 :rule instantiate :premises (@p395) :args ((@list @t135 @t121 @t134 @t133 @t159 @t219 @t123 @t132 @t131 @t118 @t119 @t117))) % 1.64/1.92 (step @p397 :rule aci_norm :args ((= (or (or @t203 @t220) @t10) (or @t203 @t220 @t10)))) % 1.64/1.92 (step @p398 :rule refl :args (@t10)) % 1.64/1.92 (step @p399 :rule bool-and-de-morgan :args (@t4 @t11 true)) % 1.64/1.92 (step @p400 :rule nary_cong :premises (@p399 @p398) :args ((or (not @t12) @t10))) % 1.64/1.92 (step @p401 :rule trans :premises (@p400 @p397)) % 1.64/1.92 (step @p402 :rule bool-impl-elim :args (@t12 @t10)) % 1.64/1.92 (step @p403 :rule trans :premises (@p402 @p401)) % 1.64/1.92 (step @p404 :rule cong :premises (@p403) :args (@t13)) % 1.64/1.92 (step @p405 :rule eq_resolve :premises (@p3 @p404)) % 1.64/1.92 (step @p406 :rule instantiate :premises (@p405) :args ((@list @t219 @t123 @t120))) % 1.64/1.92 (step @p407 :rule instantiate :premises (@p405) :args ((@list @t138 @t219 @t120))) % 1.64/1.92 (step @p408 :rule aci_norm :args ((= (or @t222 @t38) (or @t94 @t93 @t221 @t91 @t90 @t89 @t38)))) % 1.64/1.92 (step @p409 :rule refl :args (@t38)) % 1.64/1.92 (step @p410 :rule aci_norm :args ((= (or @t94 (or @t93 (or @t221 (or @t91 (or @t90 @t89))))) @t222))) % 1.64/1.92 (step @p411 :rule bool-and-de-morgan :args (@t40 @t39 true)) % 1.64/1.92 (step @p412 :rule nary_cong :premises (@p20 @p411) :args ((or @t91 (not (and @t40 @t39))))) % 1.64/1.92 (step @p413 :rule bool-and-de-morgan :args (@t41 @t40 (and @t39))) % 1.64/1.92 (step @p414 :rule trans :premises (@p413 @p412)) % 1.64/1.92 (step @p415 :rule refl :args (@t221)) % 1.64/1.92 (step @p416 :rule nary_cong :premises (@p415 @p414) :args ((or @t221 (not (and @t41 @t40 @t39))))) % 1.64/1.92 (step @p417 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40 @t39))) % 1.64/1.92 (step @p418 :rule trans :premises (@p417 @p416)) % 1.64/1.92 (step @p419 :rule nary_cong :premises (@p22 @p418) :args ((or @t93 (not (and @t42 @t41 @t40 @t39))))) % 1.64/1.92 (step @p420 :rule bool-and-de-morgan :args (@t27 @t42 (and @t41 @t40 @t39))) % 1.64/1.92 (step @p421 :rule trans :premises (@p420 @p419)) % 1.64/1.92 (step @p422 :rule nary_cong :premises (@p23 @p421) :args ((or @t94 (not (and @t27 @t42 @t41 @t40 @t39))))) % 1.64/1.92 (step @p423 :rule bool-and-de-morgan :args (@t28 @t27 (and @t42 @t41 @t40 @t39))) % 1.64/1.92 (step @p424 :rule trans :premises (@p423 @p422)) % 1.64/1.92 (step @p425 :rule trans :premises (@p424 @p410)) % 1.64/1.92 (step @p426 :rule nary_cong :premises (@p425 @p409) :args ((or (not @t43) @t38))) % 1.64/1.92 (step @p427 :rule trans :premises (@p426 @p408)) % 1.64/1.92 (step @p428 :rule bool-impl-elim :args (@t43 @t38)) % 1.64/1.92 (step @p429 :rule trans :premises (@p428 @p427)) % 1.64/1.92 (step @p430 :rule cong :premises (@p429) :args (@t44)) % 1.64/1.92 (step @p431 :rule eq_resolve :premises (@p7 @p430)) % 1.64/1.92 (step @p432 :rule instantiate :premises (@p431) :args ((@list @t135 @t219 @t138 @t119 @t117))) % 1.64/1.92 (step @p433 :rule instantiate :premises (@p62) :args ((@list @t135 @t119))) % 1.64/1.92 (step @p434 :rule instantiate :premises (@p80) :args ((@list @t135 @t119 @t118 @t117))) % 1.64/1.92 (step @p435 :rule bool-double-not-elim :args (@t170)) % 1.64/1.92 (step @p436 :rule nary_cong :premises (@p196 @p435) :args ((or @t176 (not @t171)))) % 1.64/1.92 (step @p437 :rule cnf_or_neg :args (@t176 2)) % 1.64/1.92 (step @p438 :rule eq_resolve :premises (@p437 @p436)) % 1.64/1.92 (step @p439 :rule reordering :premises (@p438) :args ((or @t170 @t176))) % 1.64/1.92 (step @p440 :rule chain_m_resolution :premises (@p439 @p194) :args (@t170 @t177 @t178)) % 1.64/1.92 (step @p441 :rule cnf_or_pos :args (@t224)) % 1.64/1.92 (step @p442 :rule reordering :premises (@p441) :args ((or @t175 @t171 @t186 @t185 @t223 (not @t224)))) % 1.64/1.92 (step @p443 :rule chain_m_resolution :premises (@p442 @p267 @p440 @p277 @p270 @p434) :args (@t223 @t188 (@list @t174 @t170 @t181 @t179 @t224))) % 1.64/1.92 (step @p444 :rule cnf_or_pos :args (@t227)) % 1.64/1.92 (step @p445 :rule reordering :premises (@p444) :args ((or @t226 @t225 (not @t227)))) % 1.64/1.92 (step @p446 :rule chain_m_resolution :premises (@p445 @p443 @p433) :args (@t225 @t183 (@list @t223 @t227))) % 1.64/1.92 (step @p447 :rule refl :args (@t228)) % 1.64/1.92 (step @p448 :rule bool-double-not-elim :args (@t218)) % 1.64/1.92 (step @p449 :rule nary_cong :premises (@p448 @p447) :args ((or (not @t225) @t228))) % 1.64/1.92 (step @p450 :rule bool-double-not-elim :args (@t228)) % 1.64/1.92 (step @p451 :rule refl :args (@t225)) % 1.64/1.92 (step @p452 :rule cong :premises (@p451 @p450) :args ((=> @t225 @t230))) % 1.64/1.92 (assume-push @p506 @t225) % 1.64/1.92 (step @p454 :rule skolemize :premises (@p446)) % 1.64/1.92 (step-pop @p507 :rule scope :premises (@p454)) % 1.64/1.92 (step @p455 :rule process_scope :premises (@p507) :args (@t230)) % 1.64/1.92 (step @p457 :rule eq_resolve :premises (@p455 @p452)) % 1.64/1.92 (step @p458 :rule implies_elim :premises (@p457)) % 1.64/1.92 (step @p459 :rule eq_resolve :premises (@p458 @p449)) % 1.64/1.92 (step @p460 :rule chain_m_resolution :premises (@p459 @p446) :args (@t228 @t177 (@list @t218))) % 1.64/1.92 (step @p461 :rule bool-double-not-elim :args (@t147)) % 1.64/1.92 (step @p462 :rule nary_cong :premises (@p196 @p461) :args ((or @t176 (not @t148)))) % 1.64/1.92 (step @p463 :rule cnf_or_neg :args (@t176 13)) % 1.64/1.92 (step @p464 :rule eq_resolve :premises (@p463 @p462)) % 1.64/1.92 (step @p465 :rule reordering :premises (@p464) :args ((or @t147 @t176))) % 1.64/1.92 (step @p466 :rule chain_m_resolution :premises (@p465 @p194) :args (@t147 @t177 @t178)) % 1.64/1.92 (step @p467 :rule bool-double-not-elim :args (@t149)) % 1.64/1.92 (step @p468 :rule nary_cong :premises (@p196 @p467) :args ((or @t176 (not @t150)))) % 1.64/1.92 (step @p469 :rule cnf_or_neg :args (@t176 12)) % 1.64/1.92 (step @p470 :rule eq_resolve :premises (@p469 @p468)) % 1.64/1.92 (step @p471 :rule reordering :premises (@p470) :args ((or @t149 @t176))) % 1.64/1.92 (step @p472 :rule chain_m_resolution :premises (@p471 @p194) :args (@t149 @t177 @t178)) % 1.64/1.92 (step @p473 :rule cnf_or_pos :args (@t232)) % 1.64/1.92 (step @p474 :rule reordering :premises (@p473) :args ((or @t171 @t150 @t148 @t185 @t226 @t229 @t231 (not @t232)))) % 1.64/1.92 (step @p475 :rule chain_m_resolution :premises (@p474 @p440 @p472 @p466 @p270 @p443 @p460 @p432) :args (@t231 (@list false false false false false false false) (@list @t170 @t149 @t147 @t179 @t223 @t228 @t232))) % 1.64/1.92 (step @p476 :rule cnf_or_neg :args (@t176 18)) % 1.64/1.92 (step @p477 :rule chain_m_resolution :premises (@p476 @p194) :args ((not @t139) @t177 @t178)) % 1.64/1.92 (step @p478 :rule cnf_or_pos :args (@t236)) % 1.64/1.92 (step @p479 :rule reordering :premises (@p478) :args ((or @t139 @t235 @t234 (not @t236)))) % 1.64/1.92 (step @p480 :rule chain_m_resolution :premises (@p479 @p477 @p475 @p407) :args (@t234 @t237 (@list @t139 @t231 @t236))) % 1.64/1.92 (step @p481 :rule cnf_or_pos :args (@t241)) % 1.64/1.92 (step @p482 :rule reordering :premises (@p481) :args ((or @t233 @t240 @t238 (not @t241)))) % 1.64/1.92 (step @p483 :rule chain_m_resolution :premises (@p482 @p480 @p337 @p406) :args (@t240 @t237 (@list @t233 @t210 @t241))) % 1.64/1.92 (step @p484 :rule bool-double-not-elim :args (@t160)) % 1.64/1.92 (step @p485 :rule nary_cong :premises (@p196 @p484) :args ((or @t176 (not @t161)))) % 1.64/1.92 (step @p486 :rule cnf_or_neg :args (@t176 7)) % 1.64/1.92 (step @p487 :rule eq_resolve :premises (@p486 @p485)) % 1.64/1.92 (step @p488 :rule reordering :premises (@p487) :args ((or @t160 @t176))) % 1.64/1.92 (step @p489 :rule chain_m_resolution :premises (@p488 @p194) :args (@t160 @t177 @t178)) % 1.64/1.92 (step @p490 :rule bool-double-not-elim :args (@t162)) % 1.64/1.92 (step @p491 :rule nary_cong :premises (@p196 @p490) :args ((or @t176 (not @t163)))) % 1.64/1.92 (step @p492 :rule cnf_or_neg :args (@t176 6)) % 1.64/1.92 (step @p493 :rule eq_resolve :premises (@p492 @p491)) % 1.64/1.92 (step @p494 :rule reordering :premises (@p493) :args ((or @t162 @t176))) % 1.64/1.92 (step @p495 :rule chain_m_resolution :premises (@p494 @p194) :args (@t162 @t177 @t178)) % 1.64/1.92 (step @p496 :rule cnf_or_pos :args (@t243)) % 1.64/1.92 (step @p497 :rule reordering :premises (@p496) :args ((or @t175 @t173 @t167 @t165 @t163 @t161 @t158 @t156 @t154 @t152 @t144 @t142 @t140 @t226 @t190 @t229 @t193 @t239 @t242 (not @t243)))) % 1.64/1.92 (step @p498 :rule chain_m_resolution :premises (@p497 @p267 @p261 @p249 @p243 @p495 @p489 @p237 @p231 @p225 @p219 @p213 @p207 @p201 @p443 @p280 @p460 @p297 @p483 @p396) :args (@t242 (@list false false false false false false false false false false false false false false false false false true false) (@list @t174 @t172 @t166 @t164 @t162 @t160 @t157 @t155 @t153 @t151 @t143 @t141 @t137 @t223 @t184 @t228 @t192 @t239 @t243))) % 1.64/1.92 (step @p499 :rule cong :premises (@p498 @p339) :args (@t233)) % 1.64/1.92 (step @p500 :rule false_intro :premises (@p480)) % 1.64/1.92 (step @p501 :rule symm :premises (@p500)) % 1.64/1.92 (step @p502 :rule trans :premises (@p501 @p499 @p338)) % 1.64/1.92 (step @p503 false :rule eq_resolve :premises (@p502 @p13)) % 1.64/1.92 ) % 1.64/1.92 % SZS output end Proof % 1.64/1.92 % cvc5 exiting %------------------------------------------------------------------------------