%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO605+1 : TPTP v9.2.1. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:13:13 AM UTC 2026 % Result : Theorem 15.70s 15.97s % Output : Proof 15.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO605+1 : TPTP v9.2.1. Released v7.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 00:29:13 EDT 2026 % 0.17/0.36 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 15.70/15.97 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.70/15.97 --- Run --no-e-matching --full-saturate-quant at 6... % 15.70/15.97 % SZS status Theorem % 15.70/15.97 % SZS output start Proof % 15.70/15.97 ( % 15.70/15.97 (declare-sort $$unsorted 0) % 15.70/15.97 (declare-const tptp.g_true (-> $$unsorted $$unsorted Bool)) % 15.70/15.97 (declare-const tptp.g_false (-> $$unsorted $$unsorted Bool)) % 15.70/15.97 (declare-const tptp.g_true_only (-> $$unsorted $$unsorted Bool)) % 15.70/15.97 (declare-const tptp.g_false_only (-> $$unsorted $$unsorted Bool)) % 15.70/15.97 (declare-const tptp.g_both (-> $$unsorted $$unsorted Bool)) % 15.70/15.97 (define @t1 () (@var "B" $$unsorted)) % 15.70/15.97 (define @t2 () (@var "C" $$unsorted)) % 15.70/15.97 (define @t3 () (tptp.g_both @t2 @t1)) % 15.70/15.97 (define @t4 () (tptp.g_false_only @t2 @t1)) % 15.70/15.97 (define @t5 () (or @t4 @t3)) % 15.70/15.97 (define @t6 () (@var "A" $$unsorted)) % 15.70/15.97 (define @t7 () (tptp.g_false_only @t2 @t6)) % 15.70/15.97 (define @t8 () (and @t7 @t5)) % 15.70/15.97 (define @t9 () (tptp.g_true_only @t2 @t1)) % 15.70/15.97 (define @t10 () (or @t4 @t9)) % 15.70/15.97 (define @t11 () (tptp.g_both @t2 @t6)) % 15.70/15.97 (define @t12 () (and @t11 @t10)) % 15.70/15.97 (define @t13 () (or @t3 @t9)) % 15.70/15.97 (define @t14 () (tptp.g_true_only @t2 @t6)) % 15.70/15.97 (define @t15 () (and @t14 @t13)) % 15.70/15.97 (define @t16 () (or @t15 @t12 @t8)) % 15.70/15.97 (define @t17 () (@list @t2)) % 15.70/15.97 (define @t18 () (exists @t17 @t16)) % 15.70/15.97 (define @t19 () (@list @t6)) % 15.70/15.97 (define @t20 () (forall @t19 @t18)) % 15.70/15.97 (define @t21 () (@list @t1)) % 15.70/15.97 (define @t22 () (exists @t21 @t20)) % 15.70/15.97 (define @t23 () (not @t22)) % 15.70/15.97 (define @t24 () (forall @t17 (or (and @t14 @t4) (and @t7 @t9)))) % 15.70/15.97 (define @t25 () (exists @t19 @t24)) % 15.70/15.97 (define @t26 () (not @t25)) % 15.70/15.97 (define @t27 () (not @t18)) % 15.70/15.97 (define @t28 () (and @t11 @t3)) % 15.70/15.97 (define @t29 () (exists @t17 @t28)) % 15.70/15.97 (define @t30 () (and @t29 @t27)) % 15.70/15.97 (define @t31 () (exists @t19 @t30)) % 15.70/15.97 (define @t32 () (and @t31 @t26)) % 15.70/15.97 (define @t33 () (exists @t21 @t32)) % 15.70/15.97 (define @t34 () (tptp.g_false_only @t1 @t1)) % 15.70/15.97 (define @t35 () (tptp.g_false_only @t1 @t6)) % 15.70/15.97 (define @t36 () (tptp.g_true_only @t1 @t1)) % 15.70/15.97 (define @t37 () (tptp.g_true_only @t1 @t6)) % 15.70/15.97 (define @t38 () (forall @t21 (or (and @t37 @t36) (and @t35 @t34)))) % 15.70/15.97 (define @t39 () (exists @t19 @t38)) % 15.70/15.97 (define @t40 () (not @t39)) % 15.70/15.97 (define @t41 () (tptp.g_both @t1 @t1)) % 15.70/15.97 (define @t42 () (or @t36 @t41)) % 15.70/15.97 (define @t43 () (and @t35 @t42)) % 15.70/15.97 (define @t44 () (or @t36 @t34)) % 15.70/15.97 (define @t45 () (tptp.g_both @t1 @t6)) % 15.70/15.97 (define @t46 () (and @t45 @t44)) % 15.70/15.97 (define @t47 () (or @t41 @t34)) % 15.70/15.97 (define @t48 () (and @t37 @t47)) % 15.70/15.97 (define @t49 () (or @t48 @t46 @t43)) % 15.70/15.97 (define @t50 () (exists @t21 @t49)) % 15.70/15.97 (define @t51 () (not @t50)) % 15.70/15.97 (define @t52 () (and @t45 @t41)) % 15.70/15.97 (define @t53 () (exists @t21 @t52)) % 15.70/15.97 (define @t54 () (and @t53 @t51)) % 15.70/15.97 (define @t55 () (exists @t19 @t54)) % 15.70/15.97 (define @t56 () (and @t55 @t40 @t33 @t23)) % 15.70/15.97 (define @t57 () (forall @t19 @t50)) % 15.70/15.97 (define @t58 () (or @t57 @t22 @t56)) % 15.70/15.97 (define @t59 () (not @t58)) % 15.70/15.97 (define @t60 () (@var "X_1" $$unsorted)) % 15.70/15.97 (define @t61 () (@var "X_2" $$unsorted)) % 15.70/15.97 (define @t62 () (tptp.g_false @t61 @t60)) % 15.70/15.97 (define @t63 () (tptp.g_true @t61 @t60)) % 15.70/15.97 (define @t64 () (tptp.g_true_only @t61 @t60)) % 15.70/15.97 (define @t65 () (@list @t61 @t60)) % 15.70/15.97 (define @t66 () (tptp.g_both @t61 @t60)) % 15.70/15.97 (define @t67 () (tptp.g_false_only @t61 @t60)) % 15.70/15.97 (define @t68 () (@var "BOUND_VARIABLE_7613" $$unsorted)) % 15.70/15.97 (define @t69 () (and (not (tptp.g_false_only @t68 @t1)) (not (tptp.g_both @t68 @t1)))) % 15.70/15.97 (define @t70 () (not (tptp.g_false_only @t68 @t6))) % 15.70/15.97 (define @t71 () (@list @t68)) % 15.70/15.97 (define @t72 () (forall @t71 (or @t70 @t69))) % 15.70/15.97 (define @t73 () (not @t72)) % 15.70/15.97 (define @t74 () (@var "BOUND_VARIABLE_7601" $$unsorted)) % 15.70/15.97 (define @t75 () (and (not (tptp.g_false_only @t74 @t1)) (not (tptp.g_true_only @t74 @t1)))) % 15.70/15.97 (define @t76 () (not (tptp.g_both @t74 @t6))) % 15.70/15.97 (define @t77 () (@list @t74)) % 15.70/15.97 (define @t78 () (forall @t77 (or @t76 @t75))) % 15.70/15.97 (define @t79 () (not @t78)) % 15.70/15.97 (define @t80 () (@var "BOUND_VARIABLE_7589" $$unsorted)) % 15.70/15.97 (define @t81 () (and (not (tptp.g_both @t80 @t1)) (not (tptp.g_true_only @t80 @t1)))) % 15.70/15.97 (define @t82 () (not (tptp.g_true_only @t80 @t6))) % 15.70/15.97 (define @t83 () (@list @t80)) % 15.70/15.97 (define @t84 () (forall @t83 (or @t82 @t81))) % 15.70/15.97 (define @t85 () (not @t84)) % 15.70/15.97 (define @t86 () (or @t85 @t79 @t73)) % 15.70/15.97 (define @t87 () (forall @t19 @t86)) % 15.70/15.97 (define @t88 () (forall @t21 (not @t87))) % 15.70/15.97 (define @t89 () (not @t88)) % 15.70/15.97 (define @t90 () (or @t85 (or @t79 @t73))) % 15.70/15.97 (define @t91 () (and @t84 @t78 @t72)) % 15.70/15.97 (define @t92 () (not @t91)) % 15.70/15.97 (define @t93 () (not @t3)) % 15.70/15.97 (define @t94 () (not @t4)) % 15.70/15.97 (define @t95 () (not @t7)) % 15.70/15.97 (define @t96 () (or @t95 (and @t94 @t93))) % 15.70/15.97 (define @t97 () (forall @t17 @t96)) % 15.70/15.97 (define @t98 () (@list @t2)) % 15.70/15.97 (define @t99 () (not @t9)) % 15.70/15.97 (define @t100 () (not @t11)) % 15.70/15.97 (define @t101 () (or @t100 (and @t94 @t99))) % 15.70/15.97 (define @t102 () (forall @t17 @t101)) % 15.70/15.97 (define @t103 () (not @t14)) % 15.70/15.97 (define @t104 () (or @t103 (and @t93 @t99))) % 15.70/15.97 (define @t105 () (forall @t17 @t104)) % 15.70/15.97 (define @t106 () (and @t105 @t102 @t97)) % 15.70/15.97 (define @t107 () (not @t8)) % 15.70/15.97 (define @t108 () (not @t12)) % 15.70/15.97 (define @t109 () (not @t15)) % 15.70/15.97 (define @t110 () (and @t109 @t108 @t107)) % 15.70/15.97 (define @t111 () (forall @t17 (not @t16))) % 15.70/15.97 (define @t112 () (not @t111)) % 15.70/15.97 (define @t113 () (@var "BOUND_VARIABLE_7710" $$unsorted)) % 15.70/15.97 (define @t114 () (not (tptp.g_both @t113 @t1))) % 15.70/15.97 (define @t115 () (@var "BOUND_VARIABLE_7708" $$unsorted)) % 15.70/15.97 (define @t116 () (not (tptp.g_both @t113 @t115))) % 15.70/15.97 (define @t117 () (not (forall @t71 (or (not (tptp.g_false_only @t68 @t115)) @t69)))) % 15.70/15.97 (define @t118 () (not (forall @t77 (or (not (tptp.g_both @t74 @t115)) @t75)))) % 15.70/15.97 (define @t119 () (not (forall @t83 (or (not (tptp.g_true_only @t80 @t115)) @t81)))) % 15.70/15.97 (define @t120 () (forall @t19 (not @t24))) % 15.70/15.97 (define @t121 () (not @t120)) % 15.70/15.97 (define @t122 () (or @t121 @t119 @t118 @t117 @t116 @t114)) % 15.70/15.97 (define @t123 () (or @t119 @t118 @t117 @t116 @t114)) % 15.70/15.97 (define @t124 () (or @t123 @t121)) % 15.70/15.97 (define @t125 () (@list @t1 @t115 @t113)) % 15.70/15.97 (define @t126 () (forall @t125 @t124)) % 15.70/15.97 (define @t127 () (@list @t115 @t113)) % 15.70/15.97 (define @t128 () (forall @t127 @t124)) % 15.70/15.97 (define @t129 () (forall @t127 @t123)) % 15.70/15.97 (define @t130 () (@var "BOUND_VARIABLE_7684" $$unsorted)) % 15.70/15.97 (define @t131 () (or @t129 @t121)) % 15.70/15.97 (define @t132 () (not (tptp.g_both @t130 @t1))) % 15.70/15.97 (define @t133 () (not (tptp.g_both @t130 @t6))) % 15.70/15.97 (define @t134 () (or @t85 @t79 @t73 @t133 @t132)) % 15.70/15.97 (define @t135 () (@list @t6 @t130)) % 15.70/15.97 (define @t136 () (forall @t135 @t134)) % 15.70/15.97 (define @t137 () (not @t136)) % 15.70/15.97 (define @t138 () (and @t137 @t120)) % 15.70/15.97 (define @t139 () (forall @t21 (not @t138))) % 15.70/15.97 (define @t140 () (not @t139)) % 15.70/15.97 (define @t141 () (or @t133 @t132)) % 15.70/15.97 (define @t142 () (or @t141 @t85 @t79 @t73)) % 15.70/15.97 (define @t143 () (forall @t135 @t142)) % 15.70/15.97 (define @t144 () (@list @t130)) % 15.70/15.97 (define @t145 () (forall @t144 @t142)) % 15.70/15.97 (define @t146 () (forall @t144 @t141)) % 15.70/15.97 (define @t147 () (or @t146 @t85 @t79 @t73)) % 15.70/15.97 (define @t148 () (forall @t17 (or @t100 @t93))) % 15.70/15.97 (define @t149 () (not @t148)) % 15.70/15.97 (define @t150 () (not @t149)) % 15.70/15.97 (define @t151 () (or @t150 @t85 @t79 @t73)) % 15.70/15.97 (define @t152 () (and @t149 @t84 @t78 @t72)) % 15.70/15.97 (define @t153 () (forall @t19 (not @t152))) % 15.70/15.97 (define @t154 () (not @t153)) % 15.70/15.97 (define @t155 () (forall @t17 (not @t28))) % 15.70/15.97 (define @t156 () (not @t155)) % 15.70/15.97 (define @t157 () (forall @t19 (not @t38))) % 15.70/15.97 (define @t158 () (not @t157)) % 15.70/15.97 (define @t159 () (@var "BOUND_VARIABLE_7652" $$unsorted)) % 15.70/15.97 (define @t160 () (not (tptp.g_both @t159 @t159))) % 15.70/15.97 (define @t161 () (not (tptp.g_both @t159 @t6))) % 15.70/15.97 (define @t162 () (@var "BOUND_VARIABLE_7546" $$unsorted)) % 15.70/15.97 (define @t163 () (and (not (tptp.g_true_only @t162 @t162)) (not (tptp.g_both @t162 @t162)))) % 15.70/15.97 (define @t164 () (@list @t162)) % 15.70/15.97 (define @t165 () (forall @t164 (or (not (tptp.g_false_only @t162 @t6)) @t163))) % 15.70/15.97 (define @t166 () (not @t165)) % 15.70/15.97 (define @t167 () (@var "BOUND_VARIABLE_7534" $$unsorted)) % 15.70/15.97 (define @t168 () (and (not (tptp.g_true_only @t167 @t167)) (not (tptp.g_false_only @t167 @t167)))) % 15.70/15.97 (define @t169 () (@list @t167)) % 15.70/15.97 (define @t170 () (forall @t169 (or (not (tptp.g_both @t167 @t6)) @t168))) % 15.70/15.97 (define @t171 () (not @t170)) % 15.70/15.97 (define @t172 () (@var "BOUND_VARIABLE_7522" $$unsorted)) % 15.70/15.97 (define @t173 () (and (not (tptp.g_both @t172 @t172)) (not (tptp.g_false_only @t172 @t172)))) % 15.70/15.97 (define @t174 () (@list @t172)) % 15.70/15.97 (define @t175 () (forall @t174 (or (not (tptp.g_true_only @t172 @t6)) @t173))) % 15.70/15.97 (define @t176 () (not @t175)) % 15.70/15.97 (define @t177 () (or @t176 @t171 @t166 @t161 @t160)) % 15.70/15.97 (define @t178 () (or @t161 @t160)) % 15.70/15.97 (define @t179 () (or @t178 @t176 @t171 @t166)) % 15.70/15.97 (define @t180 () (@list @t6 @t159)) % 15.70/15.97 (define @t181 () (forall @t180 @t179)) % 15.70/15.97 (define @t182 () (@list @t159)) % 15.70/15.97 (define @t183 () (forall @t182 @t179)) % 15.70/15.97 (define @t184 () (forall @t182 @t178)) % 15.70/15.97 (define @t185 () (@list @t1)) % 15.70/15.97 (define @t186 () (or @t184 @t176 @t171 @t166)) % 15.70/15.97 (define @t187 () (not @t41)) % 15.70/15.97 (define @t188 () (not @t45)) % 15.70/15.97 (define @t189 () (forall @t21 (or @t188 @t187))) % 15.70/15.97 (define @t190 () (not @t189)) % 15.70/15.97 (define @t191 () (not @t190)) % 15.70/15.97 (define @t192 () (or @t191 @t176 @t171 @t166)) % 15.70/15.97 (define @t193 () (or @t176 (or @t171 @t166))) % 15.70/15.97 (define @t194 () (and @t175 @t170 @t165)) % 15.70/15.97 (define @t195 () (not @t194)) % 15.70/15.97 (define @t196 () (and @t190 @t175 @t170 @t165)) % 15.70/15.97 (define @t197 () (forall @t19 (not @t196))) % 15.70/15.97 (define @t198 () (not @t197)) % 15.70/15.97 (define @t199 () (not @t36)) % 15.70/15.97 (define @t200 () (not @t35)) % 15.70/15.97 (define @t201 () (or @t200 (and @t199 @t187))) % 15.70/15.97 (define @t202 () (forall @t21 @t201)) % 15.70/15.97 (define @t203 () (not @t34)) % 15.70/15.97 (define @t204 () (or @t188 (and @t199 @t203))) % 15.70/15.97 (define @t205 () (forall @t21 @t204)) % 15.70/15.97 (define @t206 () (not @t37)) % 15.70/15.97 (define @t207 () (or @t206 (and @t187 @t203))) % 15.70/15.97 (define @t208 () (forall @t21 @t207)) % 15.70/15.97 (define @t209 () (and @t208 @t205 @t202)) % 15.70/15.97 (define @t210 () (not @t43)) % 15.70/15.97 (define @t211 () (not @t46)) % 15.70/15.97 (define @t212 () (not @t48)) % 15.70/15.97 (define @t213 () (and @t212 @t211 @t210)) % 15.70/15.97 (define @t214 () (forall @t21 (not @t49))) % 15.70/15.97 (define @t215 () (not @t214)) % 15.70/15.97 (define @t216 () (forall @t21 (not @t52))) % 15.70/15.97 (define @t217 () (not @t216)) % 15.70/15.97 (define @t218 () (or @t176 @t171 @t166)) % 15.70/15.97 (define @t219 () (@quantifiers_skolemize (forall @t19 @t218) 0)) % 15.70/15.97 (define @t220 () (forall @t169 (or (not (tptp.g_both @t167 @t219)) @t168))) % 15.70/15.97 (define @t221 () (forall @t164 (or (not (tptp.g_false_only @t162 @t219)) @t163))) % 15.70/15.97 (define @t222 () (not @t221)) % 15.70/15.97 (define @t223 () (not @t220)) % 15.70/15.97 (define @t224 () (forall @t174 (or (not (tptp.g_true_only @t172 @t219)) @t173))) % 15.70/15.97 (define @t225 () (not @t224)) % 15.70/15.97 (define @t226 () (or @t225 @t223 @t222)) % 15.70/15.97 (define @t227 () (@list true)) % 15.70/15.97 (define @t228 () (@list @t226)) % 15.70/15.97 (define @t229 () (and (not (tptp.g_false_only @t68 @t219)) (not (tptp.g_both @t68 @t219)))) % 15.70/15.97 (define @t230 () (and (not (tptp.g_false_only @t74 @t219)) (not (tptp.g_true_only @t74 @t219)))) % 15.70/15.97 (define @t231 () (and (not (tptp.g_both @t80 @t219)) (not (tptp.g_true_only @t80 @t219)))) % 15.70/15.97 (define @t232 () (@quantifiers_skolemize (forall @t19 (or (not (forall @t83 (or @t82 @t231))) (not (forall @t77 (or @t76 @t230))) (not (forall @t71 (or @t70 @t229))))) 0)) % 15.70/15.97 (define @t233 () (@list @t232)) % 15.70/15.97 (define @t234 () (tptp.g_both @t232 @t232)) % 15.70/15.97 (define @t235 () (not @t234)) % 15.70/15.97 (define @t236 () (tptp.g_true_only @t232 @t232)) % 15.70/15.97 (define @t237 () (not @t236)) % 15.70/15.97 (define @t238 () (and @t237 @t235)) % 15.70/15.97 (define @t239 () (tptp.g_false_only @t232 @t219)) % 15.70/15.97 (define @t240 () (not @t239)) % 15.70/15.97 (define @t241 () (or @t240 @t238)) % 15.70/15.97 (define @t242 () (tptp.g_both @t232 @t219)) % 15.70/15.97 (define @t243 () (not @t242)) % 15.70/15.97 (define @t244 () (and @t240 @t243)) % 15.70/15.97 (define @t245 () (not @t238)) % 15.70/15.97 (define @t246 () (forall @t71 (or (not (tptp.g_false_only @t68 @t232)) @t229))) % 15.70/15.97 (define @t247 () (not @t246)) % 15.70/15.97 (define @t248 () (forall @t77 (or (not (tptp.g_both @t74 @t232)) @t230))) % 15.70/15.97 (define @t249 () (not @t248)) % 15.70/15.97 (define @t250 () (forall @t83 (or (not (tptp.g_true_only @t80 @t232)) @t231))) % 15.70/15.97 (define @t251 () (not @t250)) % 15.70/15.97 (define @t252 () (or @t251 @t249 @t247)) % 15.70/15.97 (define @t253 () (@list @t252)) % 15.70/15.97 (define @t254 () (tptp.g_false_only @t232 @t232)) % 15.70/15.97 (define @t255 () (not @t254)) % 15.70/15.97 (define @t256 () (or @t255 @t244)) % 15.70/15.97 (define @t257 () (or @t236 @t234 @t254)) % 15.70/15.97 (define @t258 () (@list false true false true true true false false)) % 15.70/15.97 (define @t259 () (and @t235 @t255)) % 15.70/15.97 (define @t260 () (tptp.g_true_only @t232 @t219)) % 15.70/15.97 (define @t261 () (not @t260)) % 15.70/15.97 (define @t262 () (or @t261 @t259)) % 15.70/15.97 (define @t263 () (and @t243 @t261)) % 15.70/15.97 (define @t264 () (not @t259)) % 15.70/15.97 (define @t265 () (or @t237 @t263)) % 15.70/15.97 (define @t266 () (or @t260 @t242 @t239)) % 15.70/15.97 (define @t267 () (and @t237 @t255)) % 15.70/15.97 (define @t268 () (or @t243 @t267)) % 15.70/15.97 (define @t269 () (not @t267)) % 15.70/15.97 (define @t270 () (@list false)) % 15.70/15.97 (define @t271 () (@list @t267)) % 15.70/15.97 (define @t272 () (@quantifiers_skolemize @t157 0)) % 15.70/15.97 (define @t273 () (and (tptp.g_false_only @t232 @t272) @t254)) % 15.70/15.97 (define @t274 () (not @t273)) % 15.70/15.97 (define @t275 () (and (tptp.g_true_only @t232 @t272) @t236)) % 15.70/15.97 (define @t276 () (not @t275)) % 15.70/15.97 (define @t277 () (or @t275 @t273)) % 15.70/15.97 (define @t278 () (not @t277)) % 15.70/15.97 (define @t279 () (@list true true)) % 15.70/15.97 (define @t280 () (forall @t21 (or (and (tptp.g_true_only @t1 @t272) @t36) (and (tptp.g_false_only @t1 @t272) @t34)))) % 15.70/15.97 (define @t281 () (not @t280)) % 15.70/15.97 (define @t282 () (not @t281)) % 15.70/15.97 (define @t283 () (or @t225 @t223 @t222 @t243 @t235)) % 15.70/15.97 (define @t284 () (not @t283)) % 15.70/15.97 (define @t285 () (forall @t180 @t177)) % 15.70/15.97 (define @t286 () (not @t285)) % 15.70/15.97 (define @t287 () (@list @t283)) % 15.70/15.97 (define @t288 () (forall @t125 @t122)) % 15.70/15.97 (define @t289 () (tptp.g_true_only @t2 @t219)) % 15.70/15.97 (define @t290 () (tptp.g_false_only @t2 @t219)) % 15.70/15.97 (define @t291 () (forall @t19 (not (forall @t17 (or (and @t14 @t290) (and @t7 @t289)))))) % 15.70/15.97 (define @t292 () (@quantifiers_skolemize @t291 0)) % 15.70/15.97 (define @t293 () (and (tptp.g_false_only @t232 @t292) @t260)) % 15.70/15.97 (define @t294 () (not @t293)) % 15.70/15.97 (define @t295 () (and (tptp.g_true_only @t232 @t292) @t239)) % 15.70/15.97 (define @t296 () (not @t295)) % 15.70/15.97 (define @t297 () (or @t295 @t293)) % 15.70/15.97 (define @t298 () (not @t297)) % 15.70/15.97 (define @t299 () (forall @t17 (or (and (tptp.g_true_only @t2 @t292) @t290) (and (tptp.g_false_only @t2 @t292) @t289)))) % 15.70/15.97 (define @t300 () (not @t299)) % 15.70/15.97 (define @t301 () (not @t291)) % 15.70/15.97 (define @t302 () (not @t300)) % 15.70/15.97 (define @t303 () (or @t301 @t251 @t249 @t247 @t235 @t243)) % 15.70/15.97 (define @t304 () (not @t303)) % 15.70/15.97 (assume @p1 @t59) % 15.70/15.97 (assume @p2 (forall @t65 (= @t64 (and @t63 (not @t62))))) % 15.70/15.97 (assume @p3 (forall @t65 (= @t66 (and @t63 @t62)))) % 15.70/15.97 (assume @p4 (forall @t65 (= @t67 (and @t62 (not @t63))))) % 15.70/15.97 (assume @p5 (forall @t65 (or @t64 @t66 @t67))) % 15.70/15.97 (assume @p6 true) % 15.70/15.97 (step @p7 :rule bool-double-not-elim :args (@t88)) % 15.70/15.97 (step @p8 :rule exists-elim :args ((= (exists @t21 @t87) @t89))) % 15.70/15.97 (step @p9 :rule aci_norm :args ((= @t90 @t86))) % 15.70/15.97 (step @p10 :rule bool-and-de-morgan :args (@t78 @t72 true)) % 15.70/15.97 (step @p11 :rule refl :args (@t85)) % 15.70/15.97 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t85 (not (and @t78 @t72))))) % 15.70/15.97 (step @p13 :rule bool-and-de-morgan :args (@t84 @t78 (and @t72))) % 15.70/15.97 (step @p14 :rule trans :premises (@p13 @p12)) % 15.70/15.97 (step @p15 :rule trans :premises (@p14 @p9)) % 15.70/15.97 (step @p16 :rule cong :premises (@p15) :args ((forall @t19 @t92))) % 15.70/15.97 (step @p17 :rule alpha_equiv :args (@t97 @t98 (@list @t68))) % 15.70/15.97 (step @p18 :rule alpha_equiv :args (@t102 @t98 (@list @t74))) % 15.70/15.97 (step @p19 :rule alpha_equiv :args (@t105 @t98 (@list @t80))) % 15.70/15.97 (step @p20 :rule nary_cong :premises (@p19 @p18 @p17) :args (@t106)) % 15.70/15.97 (step @p21 :rule quant-miniscope-and :args ((= (forall @t17 (and @t104 @t101 @t96)) @t106))) % 15.70/15.97 (step @p22 :rule trans :premises (@p21 @p20)) % 15.70/15.97 (step @p23 :rule bool-or-de-morgan :args (@t4 @t3 false)) % 15.70/15.97 (step @p24 :rule refl :args (@t95)) % 15.70/15.97 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t95 (not @t5)))) % 15.70/15.97 (step @p26 :rule bool-and-de-morgan :args (@t7 @t5 true)) % 15.70/15.97 (step @p27 :rule trans :premises (@p26 @p25)) % 15.70/15.97 (step @p28 :rule bool-or-de-morgan :args (@t4 @t9 false)) % 15.70/15.97 (step @p29 :rule refl :args (@t100)) % 15.70/15.97 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t100 (not @t10)))) % 15.70/15.97 (step @p31 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 15.70/15.97 (step @p32 :rule trans :premises (@p31 @p30)) % 15.70/15.97 (step @p33 :rule bool-or-de-morgan :args (@t3 @t9 false)) % 15.70/15.97 (step @p34 :rule refl :args (@t103)) % 15.70/15.98 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t103 (not @t13)))) % 15.70/15.98 (step @p36 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 15.70/15.98 (step @p37 :rule trans :premises (@p36 @p35)) % 15.70/15.98 (step @p38 :rule nary_cong :premises (@p37 @p32 @p27) :args (@t110)) % 15.70/15.98 (step @p39 :rule aci_norm :args ((= (and @t109 (and @t108 @t107)) @t110))) % 15.70/15.98 (step @p40 :rule bool-or-de-morgan :args (@t12 @t8 false)) % 15.70/15.98 (step @p41 :rule refl :args (@t109)) % 15.70/15.98 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((and @t109 (not (or @t12 @t8))))) % 15.70/15.98 (step @p43 :rule bool-or-de-morgan :args (@t15 @t12 (or @t8))) % 15.70/15.98 (step @p44 :rule trans :premises (@p43 @p42)) % 15.70/15.98 (step @p45 :rule trans :premises (@p44 @p39)) % 15.70/15.98 (step @p46 :rule trans :premises (@p45 @p38)) % 15.70/15.98 (step @p47 :rule cong :premises (@p46) :args (@t111)) % 15.70/15.98 (step @p48 :rule trans :premises (@p47 @p22)) % 15.70/15.98 (step @p49 :rule cong :premises (@p48) :args (@t112)) % 15.70/15.98 (step @p50 :rule exists-elim :args ((= @t18 @t112))) % 15.70/15.98 (step @p51 :rule trans :premises (@p50 @p49)) % 15.70/15.98 (step @p52 :rule cong :premises (@p51) :args (@t20)) % 15.70/15.98 (step @p53 :rule trans :premises (@p52 @p16)) % 15.70/15.98 (step @p54 :rule cong :premises (@p53) :args (@t22)) % 15.70/15.98 (step @p55 :rule trans :premises (@p54 @p8)) % 15.70/15.98 (step @p56 :rule cong :premises (@p55) :args (@t23)) % 15.70/15.98 (step @p57 :rule trans :premises (@p56 @p7)) % 15.70/15.98 (step @p58 :rule aci_norm :args ((= @t124 @t122))) % 15.70/15.98 (step @p59 :rule cong :premises (@p58) :args (@t126)) % 15.70/15.98 (step @p60 :rule quant-merge-prenex :args ((= (forall @t21 @t128) @t126))) % 15.70/15.98 (step @p61 :rule refl :args (@t121)) % 15.70/15.98 (step @p62 :rule alpha_equiv :args (@t129 (@list @t115 @t113) (@list @t6 @t130))) % 15.70/15.98 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t131)) % 15.70/15.98 (step @p64 :rule quant-miniscope-or :args ((= @t128 @t131))) % 15.70/15.98 (step @p65 :rule trans :premises (@p64 @p63)) % 15.70/15.98 (step @p66 :rule symm :premises (@p65)) % 15.70/15.98 (step @p67 :rule cong :premises (@p66) :args ((forall @t21 (or @t136 @t121)))) % 15.70/15.98 (step @p68 :rule trans :premises (@p67 @p60)) % 15.70/15.98 (step @p69 :rule trans :premises (@p68 @p59)) % 15.70/15.98 (step @p70 :rule bool-double-not-elim :args (@t136)) % 15.70/15.98 (step @p71 :rule nary_cong :premises (@p70 @p61) :args ((or (not @t137) @t121))) % 15.70/15.98 (step @p72 :rule bool-and-de-morgan :args (@t137 @t120 true)) % 15.70/15.98 (step @p73 :rule trans :premises (@p72 @p71)) % 15.70/15.98 (step @p74 :rule cong :premises (@p73) :args (@t139)) % 15.70/15.98 (step @p75 :rule trans :premises (@p74 @p69)) % 15.70/15.98 (step @p76 :rule cong :premises (@p75) :args (@t140)) % 15.70/15.98 (step @p77 :rule exists-elim :args ((= (exists @t21 @t138) @t140))) % 15.70/15.98 (step @p78 :rule trans :premises (@p77 @p76)) % 15.70/15.98 (step @p79 :rule bool-double-not-elim :args (@t120)) % 15.70/15.98 (step @p80 :rule exists-elim :args ((= @t25 @t121))) % 15.70/15.98 (step @p81 :rule cong :premises (@p80) :args (@t26)) % 15.70/15.98 (step @p82 :rule trans :premises (@p81 @p79)) % 15.70/15.98 (step @p83 :rule aci_norm :args ((= @t142 @t134))) % 15.70/15.98 (step @p84 :rule cong :premises (@p83) :args (@t143)) % 15.70/15.98 (step @p85 :rule quant-merge-prenex :args ((= (forall @t19 @t145) @t143))) % 15.70/15.98 (step @p86 :rule refl :args (@t73)) % 15.70/15.98 (step @p87 :rule refl :args (@t79)) % 15.70/15.98 (step @p88 :rule alpha_equiv :args (@t146 (@list @t130) @t98)) % 15.70/15.98 (step @p89 :rule nary_cong :premises (@p88 @p11 @p87 @p86) :args (@t147)) % 15.70/15.98 (step @p90 :rule quant-miniscope-or :args ((= @t145 @t147))) % 15.70/15.98 (step @p91 :rule trans :premises (@p90 @p89)) % 15.70/15.98 (step @p92 :rule symm :premises (@p91)) % 15.70/15.98 (step @p93 :rule cong :premises (@p92) :args ((forall @t19 (or @t148 @t85 @t79 @t73)))) % 15.70/15.98 (step @p94 :rule trans :premises (@p93 @p85)) % 15.70/15.98 (step @p95 :rule trans :premises (@p94 @p84)) % 15.70/15.98 (step @p96 :rule bool-double-not-elim :args (@t148)) % 15.70/15.98 (step @p97 :rule nary_cong :premises (@p96 @p11 @p87 @p86) :args (@t151)) % 15.70/15.98 (step @p98 :rule aci_norm :args ((= (or @t150 @t90) @t151))) % 15.70/15.98 (step @p99 :rule trans :premises (@p98 @p97)) % 15.70/15.98 (step @p100 :rule refl :args (@t150)) % 15.70/15.98 (step @p101 :rule nary_cong :premises (@p100 @p14) :args ((or @t150 @t92))) % 15.70/15.98 (step @p102 :rule bool-and-de-morgan :args (@t149 @t84 (and @t78 @t72))) % 15.70/15.98 (step @p103 :rule trans :premises (@p102 @p101)) % 15.70/15.98 (step @p104 :rule trans :premises (@p103 @p99)) % 15.70/15.98 (step @p105 :rule cong :premises (@p104) :args (@t153)) % 15.70/15.98 (step @p106 :rule trans :premises (@p105 @p95)) % 15.70/15.98 (step @p107 :rule cong :premises (@p106) :args (@t154)) % 15.70/15.98 (step @p108 :rule exists-elim :args ((= (exists @t19 @t152) @t154))) % 15.70/15.98 (step @p109 :rule trans :premises (@p108 @p107)) % 15.70/15.98 (step @p110 :rule aci_norm :args ((= (and @t149 @t91) @t152))) % 15.70/15.98 (step @p111 :rule bool-double-not-elim :args (@t91)) % 15.70/15.98 (step @p112 :rule cong :premises (@p51) :args (@t27)) % 15.70/15.98 (step @p113 :rule trans :premises (@p112 @p111)) % 15.70/15.98 (step @p114 :rule bool-and-de-morgan :args (@t11 @t3 true)) % 15.70/15.98 (step @p115 :rule cong :premises (@p114) :args (@t155)) % 15.70/15.98 (step @p116 :rule cong :premises (@p115) :args (@t156)) % 15.70/15.98 (step @p117 :rule exists-elim :args ((= @t29 @t156))) % 15.70/15.98 (step @p118 :rule trans :premises (@p117 @p116)) % 15.70/15.98 (step @p119 :rule nary_cong :premises (@p118 @p113) :args (@t30)) % 15.70/15.98 (step @p120 :rule trans :premises (@p119 @p110)) % 15.70/15.98 (step @p121 :rule cong :premises (@p120) :args (@t31)) % 15.70/15.98 (step @p122 :rule trans :premises (@p121 @p109)) % 15.70/15.98 (step @p123 :rule nary_cong :premises (@p122 @p82) :args (@t32)) % 15.70/15.98 (step @p124 :rule cong :premises (@p123) :args (@t33)) % 15.70/15.98 (step @p125 :rule trans :premises (@p124 @p78)) % 15.70/15.98 (step @p126 :rule bool-double-not-elim :args (@t157)) % 15.70/15.98 (step @p127 :rule exists-elim :args ((= @t39 @t158))) % 15.70/15.98 (step @p128 :rule cong :premises (@p127) :args (@t40)) % 15.70/15.98 (step @p129 :rule trans :premises (@p128 @p126)) % 15.70/15.98 (step @p130 :rule aci_norm :args ((= @t179 @t177))) % 15.70/15.98 (step @p131 :rule cong :premises (@p130) :args (@t181)) % 15.70/15.98 (step @p132 :rule quant-merge-prenex :args ((= (forall @t19 @t183) @t181))) % 15.70/15.98 (step @p133 :rule refl :args (@t166)) % 15.70/15.98 (step @p134 :rule refl :args (@t171)) % 15.70/15.98 (step @p135 :rule refl :args (@t176)) % 15.70/15.98 (step @p136 :rule alpha_equiv :args (@t184 (@list @t159) @t185)) % 15.70/15.98 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134 @p133) :args (@t186)) % 15.70/15.98 (step @p138 :rule quant-miniscope-or :args ((= @t183 @t186))) % 15.70/15.98 (step @p139 :rule trans :premises (@p138 @p137)) % 15.70/15.98 (step @p140 :rule symm :premises (@p139)) % 15.70/15.98 (step @p141 :rule cong :premises (@p140) :args ((forall @t19 (or @t189 @t176 @t171 @t166)))) % 15.70/15.98 (step @p142 :rule trans :premises (@p141 @p132)) % 15.70/15.98 (step @p143 :rule trans :premises (@p142 @p131)) % 15.70/15.98 (step @p144 :rule bool-double-not-elim :args (@t189)) % 15.70/15.98 (step @p145 :rule nary_cong :premises (@p144 @p135 @p134 @p133) :args (@t192)) % 15.70/15.98 (step @p146 :rule aci_norm :args ((= (or @t191 @t193) @t192))) % 15.70/15.98 (step @p147 :rule trans :premises (@p146 @p145)) % 15.70/15.98 (step @p148 :rule bool-and-de-morgan :args (@t170 @t165 true)) % 15.70/15.98 (step @p149 :rule nary_cong :premises (@p135 @p148) :args ((or @t176 (not (and @t170 @t165))))) % 15.70/15.98 (step @p150 :rule bool-and-de-morgan :args (@t175 @t170 (and @t165))) % 15.70/15.98 (step @p151 :rule trans :premises (@p150 @p149)) % 15.70/15.98 (step @p152 :rule refl :args (@t191)) % 15.70/15.98 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or @t191 @t195))) % 15.70/15.98 (step @p154 :rule bool-and-de-morgan :args (@t190 @t175 (and @t170 @t165))) % 15.70/15.98 (step @p155 :rule trans :premises (@p154 @p153)) % 15.70/15.98 (step @p156 :rule trans :premises (@p155 @p147)) % 15.70/15.98 (step @p157 :rule cong :premises (@p156) :args (@t197)) % 15.70/15.98 (step @p158 :rule trans :premises (@p157 @p143)) % 15.70/15.98 (step @p159 :rule cong :premises (@p158) :args (@t198)) % 15.70/15.98 (step @p160 :rule exists-elim :args ((= (exists @t19 @t196) @t198))) % 15.70/15.98 (step @p161 :rule trans :premises (@p160 @p159)) % 15.70/15.98 (step @p162 :rule aci_norm :args ((= (and @t190 @t194) @t196))) % 15.70/15.98 (step @p163 :rule bool-double-not-elim :args (@t194)) % 15.70/15.98 (step @p164 :rule alpha_equiv :args (@t202 @t185 (@list @t162))) % 15.70/15.98 (step @p165 :rule alpha_equiv :args (@t205 @t185 (@list @t167))) % 15.70/15.98 (step @p166 :rule alpha_equiv :args (@t208 @t185 (@list @t172))) % 15.70/15.98 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164) :args (@t209)) % 15.70/15.98 (step @p168 :rule quant-miniscope-and :args ((= (forall @t21 (and @t207 @t204 @t201)) @t209))) % 15.70/15.98 (step @p169 :rule trans :premises (@p168 @p167)) % 15.70/15.98 (step @p170 :rule bool-or-de-morgan :args (@t36 @t41 false)) % 15.70/15.98 (step @p171 :rule refl :args (@t200)) % 15.70/15.98 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t200 (not @t42)))) % 15.70/15.98 (step @p173 :rule bool-and-de-morgan :args (@t35 @t42 true)) % 15.70/15.98 (step @p174 :rule trans :premises (@p173 @p172)) % 15.70/15.98 (step @p175 :rule bool-or-de-morgan :args (@t36 @t34 false)) % 15.70/15.98 (step @p176 :rule refl :args (@t188)) % 15.70/15.98 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or @t188 (not @t44)))) % 15.70/15.98 (step @p178 :rule bool-and-de-morgan :args (@t45 @t44 true)) % 15.70/15.98 (step @p179 :rule trans :premises (@p178 @p177)) % 15.70/15.98 (step @p180 :rule bool-or-de-morgan :args (@t41 @t34 false)) % 15.70/15.98 (step @p181 :rule refl :args (@t206)) % 15.70/15.98 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or @t206 (not @t47)))) % 15.70/15.98 (step @p183 :rule bool-and-de-morgan :args (@t37 @t47 true)) % 15.70/15.98 (step @p184 :rule trans :premises (@p183 @p182)) % 15.70/15.98 (step @p185 :rule nary_cong :premises (@p184 @p179 @p174) :args (@t213)) % 15.70/15.98 (step @p186 :rule aci_norm :args ((= (and @t212 (and @t211 @t210)) @t213))) % 15.70/15.98 (step @p187 :rule bool-or-de-morgan :args (@t46 @t43 false)) % 15.70/15.98 (step @p188 :rule refl :args (@t212)) % 15.70/15.98 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((and @t212 (not (or @t46 @t43))))) % 15.70/15.98 (step @p190 :rule bool-or-de-morgan :args (@t48 @t46 (or @t43))) % 15.70/15.98 (step @p191 :rule trans :premises (@p190 @p189)) % 15.70/15.98 (step @p192 :rule trans :premises (@p191 @p186)) % 15.70/15.98 (step @p193 :rule trans :premises (@p192 @p185)) % 15.70/15.98 (step @p194 :rule cong :premises (@p193) :args (@t214)) % 15.70/15.98 (step @p195 :rule trans :premises (@p194 @p169)) % 15.70/15.98 (step @p196 :rule cong :premises (@p195) :args (@t215)) % 15.70/15.98 (step @p197 :rule exists-elim :args ((= @t50 @t215))) % 15.70/15.98 (step @p198 :rule trans :premises (@p197 @p196)) % 15.70/15.98 (step @p199 :rule cong :premises (@p198) :args (@t51)) % 15.70/15.98 (step @p200 :rule trans :premises (@p199 @p163)) % 15.70/15.98 (step @p201 :rule bool-and-de-morgan :args (@t45 @t41 true)) % 15.70/15.98 (step @p202 :rule cong :premises (@p201) :args (@t216)) % 15.70/15.98 (step @p203 :rule cong :premises (@p202) :args (@t217)) % 15.70/15.98 (step @p204 :rule exists-elim :args ((= @t53 @t217))) % 15.70/15.98 (step @p205 :rule trans :premises (@p204 @p203)) % 15.70/15.98 (step @p206 :rule nary_cong :premises (@p205 @p200) :args (@t54)) % 15.70/15.98 (step @p207 :rule trans :premises (@p206 @p162)) % 15.70/15.98 (step @p208 :rule cong :premises (@p207) :args (@t55)) % 15.70/15.98 (step @p209 :rule trans :premises (@p208 @p161)) % 15.70/15.98 (step @p210 :rule nary_cong :premises (@p209 @p129 @p125 @p57) :args (@t56)) % 15.70/15.98 (step @p211 :rule aci_norm :args ((= @t193 @t218))) % 15.70/15.98 (step @p212 :rule trans :premises (@p151 @p211)) % 15.70/15.98 (step @p213 :rule cong :premises (@p212) :args ((forall @t19 @t195))) % 15.70/15.98 (step @p214 :rule cong :premises (@p198) :args (@t57)) % 15.70/15.98 (step @p215 :rule trans :premises (@p214 @p213)) % 15.70/15.98 (step @p216 :rule nary_cong :premises (@p215 @p55 @p210) :args (@t58)) % 15.70/15.98 (step @p217 :rule cong :premises (@p216) :args (@t59)) % 15.70/15.98 (step @p218 :rule eq_resolve :premises (@p1 @p217)) % 15.70/15.98 (step @p219 :rule not_or_elim :premises (@p218) :args (0)) % 15.70/15.98 (step @p220 :rule skolemize :premises (@p219)) % 15.70/15.98 (step @p221 :rule bool-double-not-elim :args (@t220)) % 15.70/15.98 (step @p222 :rule refl :args (@t226)) % 15.70/15.98 (step @p223 :rule nary_cong :premises (@p222 @p221) :args ((or @t226 (not @t223)))) % 15.70/15.98 (step @p224 :rule cnf_or_neg :args (@t226 1)) % 15.70/15.98 (step @p225 :rule eq_resolve :premises (@p224 @p223)) % 15.70/15.98 (step @p226 :rule reordering :premises (@p225) :args ((or @t220 @t226))) % 15.70/15.98 (step @p227 :rule chain_m_resolution :premises (@p226 @p220) :args (@t220 @t227 @t228)) % 15.70/15.98 (step @p228 :rule instantiate :premises (@p227) :args (@t233)) % 15.70/15.98 (step @p229 :rule instantiate :premises (@p5) :args ((@list @t232 @t219))) % 15.70/15.98 (step @p230 :rule bool-double-not-elim :args (@t221)) % 15.70/15.98 (step @p231 :rule nary_cong :premises (@p222 @p230) :args ((or @t226 (not @t222)))) % 15.70/15.98 (step @p232 :rule cnf_or_neg :args (@t226 2)) % 15.70/15.98 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 15.70/15.98 (step @p234 :rule reordering :premises (@p233) :args ((or @t221 @t226))) % 15.70/15.98 (step @p235 :rule chain_m_resolution :premises (@p234 @p220) :args (@t221 @t227 @t228)) % 15.70/15.98 (step @p236 :rule instantiate :premises (@p235) :args (@t233)) % 15.70/15.98 (step @p237 :rule cnf_or_pos :args (@t241)) % 15.70/15.98 (step @p238 :rule reordering :premises (@p237) :args ((or @t240 @t238 (not @t241)))) % 15.70/15.98 (step @p239 :rule cnf_and_pos :args (@t244 0)) % 15.70/15.98 (step @p240 :rule reordering :premises (@p239) :args ((or @t240 (not @t244)))) % 15.70/15.98 (step @p241 :rule cnf_and_pos :args (@t238 0)) % 15.70/15.98 (step @p242 :rule reordering :premises (@p241) :args ((or @t237 @t245))) % 15.70/15.98 (step @p243 :rule cnf_and_pos :args (@t238 1)) % 15.70/15.98 (step @p244 :rule reordering :premises (@p243) :args ((or @t235 @t245))) % 15.70/15.98 (step @p245 :rule not_or_elim :premises (@p218) :args (1)) % 15.70/15.98 (step @p246 :rule not_not_elim :premises (@p245)) % 15.70/15.98 (step @p247 :rule instantiate :premises (@p246) :args ((@list @t219))) % 15.70/15.98 (step @p248 :rule skolemize :premises (@p247)) % 15.70/15.98 (step @p249 :rule bool-double-not-elim :args (@t246)) % 15.70/15.98 (step @p250 :rule refl :args (@t252)) % 15.70/15.98 (step @p251 :rule nary_cong :premises (@p250 @p249) :args ((or @t252 (not @t247)))) % 15.70/15.98 (step @p252 :rule cnf_or_neg :args (@t252 2)) % 15.70/15.98 (step @p253 :rule eq_resolve :premises (@p252 @p251)) % 15.70/15.98 (step @p254 :rule reordering :premises (@p253) :args ((or @t246 @t252))) % 15.70/15.98 (step @p255 :rule chain_m_resolution :premises (@p254 @p248) :args (@t246 @t227 @t253)) % 15.70/15.98 (step @p256 :rule instantiate :premises (@p255) :args (@t233)) % 15.70/15.98 (step @p257 :rule cnf_or_pos :args (@t256)) % 15.70/15.98 (step @p258 :rule reordering :premises (@p257) :args ((or @t255 @t244 (not @t256)))) % 15.70/15.98 (step @p259 :rule instantiate :premises (@p5) :args ((@list @t232 @t232))) % 15.70/15.98 (step @p260 :rule cnf_or_pos :args (@t257)) % 15.70/15.98 (step @p261 :rule reordering :premises (@p260) :args ((or @t234 @t254 @t236 (not @t257)))) % 15.70/15.98 (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p258 @p256 @p244 @p242 @p240 @p238 @p236) :args (@t240 @t258 (@list @t257 @t254 @t256 @t234 @t236 @t244 @t238 @t241))) % 15.70/15.98 (step @p263 :rule bool-double-not-elim :args (@t224)) % 15.70/15.98 (step @p264 :rule nary_cong :premises (@p222 @p263) :args ((or @t226 (not @t225)))) % 15.70/15.98 (step @p265 :rule cnf_or_neg :args (@t226 0)) % 15.70/15.98 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 15.70/15.98 (step @p267 :rule reordering :premises (@p266) :args ((or @t224 @t226))) % 15.70/15.98 (step @p268 :rule chain_m_resolution :premises (@p267 @p220) :args (@t224 @t227 @t228)) % 15.70/15.98 (step @p269 :rule instantiate :premises (@p268) :args (@t233)) % 15.70/15.98 (step @p270 :rule cnf_or_pos :args (@t262)) % 15.70/15.98 (step @p271 :rule reordering :premises (@p270) :args ((or @t261 @t259 (not @t262)))) % 15.70/15.98 (step @p272 :rule cnf_and_pos :args (@t263 1)) % 15.70/15.98 (step @p273 :rule reordering :premises (@p272) :args ((or @t261 (not @t263)))) % 15.70/15.98 (step @p274 :rule cnf_and_pos :args (@t259 0)) % 15.70/15.98 (step @p275 :rule reordering :premises (@p274) :args ((or @t235 @t264))) % 15.70/15.98 (step @p276 :rule cnf_and_pos :args (@t259 1)) % 15.70/15.98 (step @p277 :rule reordering :premises (@p276) :args ((or @t255 @t264))) % 15.70/15.98 (step @p278 :rule bool-double-not-elim :args (@t250)) % 15.70/15.98 (step @p279 :rule nary_cong :premises (@p250 @p278) :args ((or @t252 (not @t251)))) % 15.70/15.98 (step @p280 :rule cnf_or_neg :args (@t252 0)) % 15.70/15.98 (step @p281 :rule eq_resolve :premises (@p280 @p279)) % 15.70/15.98 (step @p282 :rule reordering :premises (@p281) :args ((or @t250 @t252))) % 15.70/15.98 (step @p283 :rule chain_m_resolution :premises (@p282 @p248) :args (@t250 @t227 @t253)) % 15.70/15.98 (step @p284 :rule instantiate :premises (@p283) :args (@t233)) % 15.70/15.98 (step @p285 :rule cnf_or_pos :args (@t265)) % 15.70/15.98 (step @p286 :rule reordering :premises (@p285) :args ((or @t237 @t263 (not @t265)))) % 15.70/15.98 (step @p287 :rule chain_m_resolution :premises (@p261 @p259 @p286 @p284 @p277 @p275 @p273 @p271 @p269) :args (@t261 @t258 (@list @t257 @t236 @t265 @t254 @t234 @t263 @t259 @t262))) % 15.70/15.98 (step @p288 :rule cnf_or_pos :args (@t266)) % 15.70/15.98 (step @p289 :rule reordering :premises (@p288) :args ((or @t260 @t242 @t239 (not @t266)))) % 15.70/15.98 (step @p290 :rule chain_m_resolution :premises (@p289 @p287 @p262 @p229) :args (@t242 (@list true true false) (@list @t260 @t239 @t266))) % 15.70/15.98 (step @p291 :rule cnf_or_pos :args (@t268)) % 15.70/15.98 (step @p292 :rule reordering :premises (@p291) :args ((or @t243 @t267 (not @t268)))) % 15.70/15.98 (step @p293 :rule chain_m_resolution :premises (@p292 @p290 @p228) :args (@t267 (@list false false) (@list @t242 @t268))) % 15.70/15.98 (step @p294 :rule cnf_and_pos :args (@t267 1)) % 15.70/15.98 (step @p295 :rule reordering :premises (@p294) :args ((or @t255 @t269))) % 15.70/15.98 (step @p296 :rule chain_m_resolution :premises (@p295 @p293) :args (@t255 @t270 @t271)) % 15.70/15.98 (step @p297 :rule cnf_and_pos :args (@t273 1)) % 15.70/15.98 (step @p298 :rule reordering :premises (@p297) :args ((or @t254 @t274))) % 15.70/15.98 (step @p299 :rule chain_m_resolution :premises (@p298 @p296) :args (@t274 @t227 (@list @t254))) % 15.70/15.98 (step @p300 :rule cnf_and_pos :args (@t267 0)) % 15.70/15.98 (step @p301 :rule reordering :premises (@p300) :args ((or @t237 @t269))) % 15.70/15.98 (step @p302 :rule chain_m_resolution :premises (@p301 @p293) :args (@t237 @t270 @t271)) % 15.70/15.98 (step @p303 :rule cnf_and_pos :args (@t275 1)) % 15.70/15.98 (step @p304 :rule reordering :premises (@p303) :args ((or @t236 @t276))) % 15.70/15.98 (step @p305 :rule chain_m_resolution :premises (@p304 @p302) :args (@t276 @t227 (@list @t236))) % 15.70/15.98 (step @p306 :rule cnf_or_pos :args (@t277)) % 15.70/15.98 (step @p307 :rule reordering :premises (@p306) :args ((or @t275 @t273 @t278))) % 15.70/15.98 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p299) :args (@t278 @t279 (@list @t275 @t273))) % 15.70/15.98 (assume-push @p398 @t280) % 15.70/15.98 (step @p310 :rule instantiate :premises (@p398) :args (@t233)) % 15.70/15.98 (step-pop @p399 :rule scope :premises (@p310)) % 15.70/15.98 (step @p311 :rule process_scope :premises (@p399) :args (@t277)) % 15.70/15.98 (step @p313 :rule implies_elim :premises (@p311)) % 15.70/15.98 (step @p314 :rule chain_m_resolution :premises (@p313 @p308) :args (@t281 @t227 (@list @t277))) % 15.70/15.98 (step @p315 :rule refl :args (@t280)) % 15.70/15.98 (step @p316 :rule nary_cong :premises (@p126 @p315) :args ((or (not @t158) @t280))) % 15.70/15.98 (step @p317 :rule bool-double-not-elim :args (@t280)) % 15.70/15.98 (step @p318 :rule refl :args (@t158)) % 15.70/15.98 (step @p319 :rule cong :premises (@p318 @p317) :args ((=> @t158 @t282))) % 15.70/15.98 (assume-push @p400 @t158) % 15.70/15.98 (step @p321 :rule skolemize :premises (@p400)) % 15.70/15.98 (step-pop @p401 :rule scope :premises (@p321)) % 15.70/15.98 (step @p322 :rule process_scope :premises (@p401) :args (@t282)) % 15.70/15.98 (step @p324 :rule eq_resolve :premises (@p322 @p319)) % 15.70/15.98 (step @p325 :rule implies_elim :premises (@p324)) % 15.70/15.98 (step @p326 :rule eq_resolve :premises (@p325 @p316)) % 15.70/15.98 (step @p327 :rule chain_m_resolution :premises (@p326 @p314) :args (@t157 @t227 (@list @t280))) % 15.70/15.98 (step @p328 :rule cnf_or_pos :args (@t283)) % 15.70/15.98 (step @p329 :rule reordering :premises (@p328) :args ((or @t225 @t223 @t222 @t235 @t243 @t284))) % 15.70/15.98 (step @p330 :rule chain_m_resolution :premises (@p261 @p259 @p295 @p301 @p329 @p235 @p227 @p268 @p292 @p228) :args ((or @t243 @t284) (@list false true true true false false false false false) (@list @t257 @t254 @t236 @t234 @t221 @t220 @t224 @t267 @t268))) % 15.70/15.98 (step @p331 :rule chain_m_resolution :premises (@p330 @p290) :args (@t284 @t270 (@list @t242))) % 15.70/15.98 (assume-push @p402 @t285) % 15.70/15.98 (step @p333 :rule instantiate :premises (@p402) :args ((@list @t219 @t232))) % 15.70/15.98 (step-pop @p403 :rule scope :premises (@p333)) % 15.70/15.98 (step @p334 :rule process_scope :premises (@p403) :args (@t283)) % 15.70/15.98 (step @p336 :rule implies_elim :premises (@p334)) % 15.70/15.98 (step @p337 :rule chain_m_resolution :premises (@p336 @p331) :args (@t286 @t227 @t287)) % 15.70/15.98 (step @p338 :rule refl :args (@t89)) % 15.70/15.98 (step @p339 :rule bool-double-not-elim :args (@t288)) % 15.70/15.98 (step @p340 :rule bool-double-not-elim :args (@t285)) % 15.70/15.98 (step @p341 :rule nary_cong :premises (@p340 @p318 @p339 @p338) :args ((or (not @t286) @t158 (not (not @t288)) @t89))) % 15.70/15.98 (step @p342 :rule not_or_elim :premises (@p218) :args (2)) % 15.70/15.98 (step @p343 :rule not_and :premises (@p342)) % 15.70/15.98 (step @p344 :rule eq_resolve :premises (@p343 @p341)) % 15.70/15.98 (step @p345 :rule reordering :premises (@p344) :args ((or @t89 @t285 @t158 @t288))) % 15.70/15.98 (step @p346 :rule chain_m_resolution :premises (@p345 @p246 @p337 @p327) :args (@t288 (@list false true false) (@list @t88 @t285 @t157))) % 15.70/15.98 (step @p347 :rule cnf_and_pos :args (@t293 1)) % 15.70/15.98 (step @p348 :rule reordering :premises (@p347) :args ((or @t260 @t294))) % 15.70/15.98 (step @p349 :rule chain_m_resolution :premises (@p348 @p287) :args (@t294 @t227 (@list @t260))) % 15.70/15.98 (step @p350 :rule cnf_and_pos :args (@t295 1)) % 15.70/15.98 (step @p351 :rule reordering :premises (@p350) :args ((or @t239 @t296))) % 15.70/15.98 (step @p352 :rule chain_m_resolution :premises (@p351 @p262) :args (@t296 @t227 (@list @t239))) % 15.70/15.98 (step @p353 :rule cnf_or_pos :args (@t297)) % 15.70/15.98 (step @p354 :rule reordering :premises (@p353) :args ((or @t295 @t293 @t298))) % 15.70/15.98 (step @p355 :rule chain_m_resolution :premises (@p354 @p352 @p349) :args (@t298 @t279 (@list @t295 @t293))) % 15.70/15.98 (assume-push @p404 @t299) % 15.70/15.98 (step @p357 :rule instantiate :premises (@p404) :args (@t233)) % 15.70/15.98 (step-pop @p405 :rule scope :premises (@p357)) % 15.70/15.98 (step @p358 :rule process_scope :premises (@p405) :args (@t297)) % 15.70/15.98 (step @p360 :rule implies_elim :premises (@p358)) % 15.70/15.98 (step @p361 :rule chain_m_resolution :premises (@p360 @p355) :args (@t300 @t227 (@list @t297))) % 15.70/15.98 (step @p362 :rule refl :args (@t299)) % 15.70/15.98 (step @p363 :rule bool-double-not-elim :args (@t291)) % 15.70/15.98 (step @p364 :rule nary_cong :premises (@p363 @p362) :args ((or (not @t301) @t299))) % 15.70/15.98 (step @p365 :rule bool-double-not-elim :args (@t299)) % 15.70/15.98 (step @p366 :rule refl :args (@t301)) % 15.70/15.98 (step @p367 :rule cong :premises (@p366 @p365) :args ((=> @t301 @t302))) % 15.70/15.98 (assume-push @p406 @t301) % 15.70/15.98 (step @p369 :rule skolemize :premises (@p406)) % 15.70/15.98 (step-pop @p407 :rule scope :premises (@p369)) % 15.70/15.98 (step @p370 :rule process_scope :premises (@p407) :args (@t302)) % 15.70/15.98 (step @p372 :rule eq_resolve :premises (@p370 @p367)) % 15.70/15.98 (step @p373 :rule implies_elim :premises (@p372)) % 15.70/15.98 (step @p374 :rule eq_resolve :premises (@p373 @p364)) % 15.70/15.98 (step @p375 :rule chain_m_resolution :premises (@p374 @p361) :args (@t291 @t227 (@list @t299))) % 15.70/15.98 (step @p376 :rule bool-double-not-elim :args (@t234)) % 15.70/15.98 (step @p377 :rule refl :args (@t283)) % 15.70/15.98 (step @p378 :rule nary_cong :premises (@p377 @p376) :args ((or @t283 (not @t235)))) % 15.70/15.98 (step @p379 :rule cnf_or_neg :args (@t283 4)) % 15.70/15.98 (step @p380 :rule eq_resolve :premises (@p379 @p378)) % 15.70/15.98 (step @p381 :rule reordering :premises (@p380) :args ((or @t234 @t283))) % 15.70/15.98 (step @p382 :rule chain_m_resolution :premises (@p381 @p331) :args (@t234 @t227 @t287)) % 15.70/15.98 (step @p383 :rule bool-double-not-elim :args (@t248)) % 15.70/15.98 (step @p384 :rule nary_cong :premises (@p250 @p383) :args ((or @t252 (not @t249)))) % 15.70/15.98 (step @p385 :rule cnf_or_neg :args (@t252 1)) % 15.70/15.98 (step @p386 :rule eq_resolve :premises (@p385 @p384)) % 15.70/15.98 (step @p387 :rule reordering :premises (@p386) :args ((or @t248 @t252))) % 15.70/15.98 (step @p388 :rule chain_m_resolution :premises (@p387 @p248) :args (@t248 @t227 @t253)) % 15.70/15.98 (step @p389 :rule cnf_or_pos :args (@t303)) % 15.70/15.98 (step @p390 :rule reordering :premises (@p389) :args ((or @t251 @t249 @t247 @t235 @t243 @t301 @t304))) % 15.70/15.98 (step @p391 :rule chain_m_resolution :premises (@p390 @p283 @p388 @p255 @p382 @p290 @p375) :args (@t304 (@list false false false false false false) (@list @t250 @t248 @t246 @t234 @t242 @t291))) % 15.70/15.98 (assume-push @p408 @t288) % 15.70/15.98 (step @p393 :rule instantiate :premises (@p408) :args ((@list @t219 @t232 @t232))) % 15.70/15.98 (step-pop @p409 :rule scope :premises (@p393)) % 15.70/15.98 (step @p394 :rule process_scope :premises (@p409) :args (@t303)) % 15.70/15.98 (step @p396 :rule implies_elim :premises (@p394)) % 15.70/15.98 (step @p397 false :rule chain_m_resolution :premises (@p396 @p391 @p346) :args (false (@list true false) (@list @t303 @t288))) % 15.70/15.98 ) % 15.70/15.98 % SZS output end Proof % 15.70/15.98 % cvc5 exiting %------------------------------------------------------------------------------