%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO606+1 : TPTP v9.2.1. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 31.05s 31.23s % Output : Proof 31.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO606+1 : TPTP v9.2.1. Released v7.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 31.05/31.23 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 31.05/31.23 --- Run --no-e-matching --full-saturate-quant at 6... % 31.05/31.23 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 31.05/31.23 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 31.05/31.23 % SZS status Theorem % 31.05/31.23 % SZS output start Proof % 31.05/31.23 ( % 31.05/31.23 (declare-sort $$unsorted 0) % 31.05/31.23 (declare-const tptp.h_false (-> $$unsorted $$unsorted Bool)) % 31.05/31.23 (declare-const tptp.g_true (-> $$unsorted $$unsorted Bool)) % 31.05/31.23 (declare-const tptp.g_false (-> $$unsorted $$unsorted Bool)) % 31.05/31.23 (declare-const tptp.g_false_only (-> $$unsorted $$unsorted Bool)) % 31.05/31.23 (declare-const tptp.h_true_only (-> $$unsorted $$unsorted Bool)) % 31.05/31.23 (declare-const tptp.g_true_only (-> $$unsorted $$unsorted Bool)) % 31.05/31.23 (declare-const tptp.h_both (-> $$unsorted $$unsorted Bool)) % 31.05/31.23 (declare-const tptp.h_true (-> $$unsorted $$unsorted Bool)) % 31.05/31.23 (declare-const tptp.g_both (-> $$unsorted $$unsorted Bool)) % 31.05/31.23 (declare-const tptp.h_false_only (-> $$unsorted $$unsorted Bool)) % 31.05/31.23 (define @t1 () (@var "C" $$unsorted)) % 31.05/31.23 (define @t2 () (@var "A" $$unsorted)) % 31.05/31.23 (define @t3 () (tptp.h_false_only @t2 @t1)) % 31.05/31.23 (define @t4 () (@var "B" $$unsorted)) % 31.05/31.23 (define @t5 () (tptp.g_both @t2 @t4)) % 31.05/31.23 (define @t6 () (tptp.h_both @t2 @t1)) % 31.05/31.23 (define @t7 () (tptp.g_true_only @t2 @t4)) % 31.05/31.23 (define @t8 () (@list @t1)) % 31.05/31.23 (define @t9 () (forall @t8 (or (and @t7 (or @t6 @t3)) (and @t5 @t3)))) % 31.05/31.23 (define @t10 () (@list @t2 @t4)) % 31.05/31.23 (define @t11 () (exists @t10 @t9)) % 31.05/31.23 (define @t12 () (not @t11)) % 31.05/31.23 (define @t13 () (@list @t4)) % 31.05/31.23 (define @t14 () (exists @t13 @t9)) % 31.05/31.23 (define @t15 () (not @t14)) % 31.05/31.23 (define @t16 () (tptp.h_true_only @t2 @t1)) % 31.05/31.23 (define @t17 () (tptp.g_false_only @t2 @t4)) % 31.05/31.23 (define @t18 () (or @t17 @t16)) % 31.05/31.23 (define @t19 () (exists @t8 @t18)) % 31.05/31.23 (define @t20 () (not @t19)) % 31.05/31.23 (define @t21 () (and @t5 @t6)) % 31.05/31.23 (define @t22 () (exists @t8 @t21)) % 31.05/31.23 (define @t23 () (and @t22 @t20)) % 31.05/31.23 (define @t24 () (exists @t13 @t23)) % 31.05/31.23 (define @t25 () (and @t24 @t15)) % 31.05/31.23 (define @t26 () (@list @t2)) % 31.05/31.23 (define @t27 () (exists @t26 @t25)) % 31.05/31.23 (define @t28 () (forall @t13 (tptp.h_false_only @t2 @t4))) % 31.05/31.23 (define @t29 () (exists @t13 @t7)) % 31.05/31.23 (define @t30 () (not @t29)) % 31.05/31.23 (define @t31 () (exists @t13 @t5)) % 31.05/31.23 (define @t32 () (and @t31 @t30 @t28)) % 31.05/31.23 (define @t33 () (tptp.h_true_only @t2 @t4)) % 31.05/31.23 (define @t34 () (exists @t13 @t33)) % 31.05/31.23 (define @t35 () (not @t34)) % 31.05/31.23 (define @t36 () (tptp.h_both @t2 @t4)) % 31.05/31.23 (define @t37 () (exists @t13 @t36)) % 31.05/31.23 (define @t38 () (and @t37 @t35)) % 31.05/31.23 (define @t39 () (or @t38 @t28)) % 31.05/31.23 (define @t40 () (and @t29 @t39)) % 31.05/31.23 (define @t41 () (or @t40 @t32)) % 31.05/31.23 (define @t42 () (exists @t26 @t41)) % 31.05/31.23 (define @t43 () (not @t42)) % 31.05/31.23 (define @t44 () (and @t31 @t30 @t37 @t35)) % 31.05/31.23 (define @t45 () (exists @t26 @t44)) % 31.05/31.23 (define @t46 () (and @t45 @t43 @t27 @t12)) % 31.05/31.23 (define @t47 () (and @t42 @t11)) % 31.05/31.23 (define @t48 () (forall @t10 @t19)) % 31.05/31.23 (define @t49 () (forall @t13 @t17)) % 31.05/31.23 (define @t50 () (or @t49 @t34)) % 31.05/31.23 (define @t51 () (forall @t26 @t50)) % 31.05/31.23 (define @t52 () (and @t51 @t48)) % 31.05/31.23 (define @t53 () (or @t52 @t47 @t46)) % 31.05/31.23 (define @t54 () (not @t53)) % 31.05/31.23 (define @t55 () (@var "X_1" $$unsorted)) % 31.05/31.23 (define @t56 () (@var "X_2" $$unsorted)) % 31.05/31.23 (define @t57 () (tptp.g_false @t56 @t55)) % 31.05/31.23 (define @t58 () (tptp.g_true @t56 @t55)) % 31.05/31.23 (define @t59 () (tptp.g_true_only @t56 @t55)) % 31.05/31.23 (define @t60 () (@list @t56 @t55)) % 31.05/31.23 (define @t61 () (tptp.g_both @t56 @t55)) % 31.05/31.23 (define @t62 () (tptp.g_false_only @t56 @t55)) % 31.05/31.23 (define @t63 () (forall @t60 (or @t59 @t61 @t62))) % 31.05/31.23 (define @t64 () (tptp.h_false @t56 @t55)) % 31.05/31.23 (define @t65 () (tptp.h_true @t56 @t55)) % 31.05/31.23 (define @t66 () (tptp.h_true_only @t56 @t55)) % 31.05/31.23 (define @t67 () (tptp.h_both @t56 @t55)) % 31.05/31.23 (define @t68 () (tptp.h_false_only @t56 @t55)) % 31.05/31.23 (define @t69 () (forall @t13 (not @t33))) % 31.05/31.23 (define @t70 () (not @t69)) % 31.05/31.23 (define @t71 () (@var "BOUND_VARIABLE_7521" $$unsorted)) % 31.05/31.23 (define @t72 () (tptp.g_false_only @t2 @t71)) % 31.05/31.23 (define @t73 () (or @t72 @t70)) % 31.05/31.23 (define @t74 () (forall (@list @t2 @t71) @t73)) % 31.05/31.23 (define @t75 () (@quantifiers_skolemize @t74 0)) % 31.05/31.23 (define @t76 () (forall @t13 (not (tptp.h_true_only @t75 @t4)))) % 31.05/31.23 (define @t77 () (not @t76)) % 31.05/31.23 (define @t78 () (@quantifiers_skolemize @t74 1)) % 31.05/31.23 (define @t79 () (tptp.g_false_only @t75 @t78)) % 31.05/31.23 (define @t80 () (or @t79 @t77)) % 31.05/31.23 (define @t81 () (@var "BOUND_VARIABLE_7598" $$unsorted)) % 31.05/31.23 (define @t82 () (not (forall @t13 (tptp.h_false_only @t81 @t4)))) % 31.05/31.23 (define @t83 () (not (forall @t13 (not (tptp.g_true_only @t81 @t4))))) % 31.05/31.23 (define @t84 () (@var "BOUND_VARIABLE_7627" $$unsorted)) % 31.05/31.23 (define @t85 () (not (tptp.g_both @t81 @t84))) % 31.05/31.23 (define @t86 () (or @t85 @t83 @t82)) % 31.05/31.23 (define @t87 () (forall (@list @t81 @t84) @t86)) % 31.05/31.23 (define @t88 () (@var "BOUND_VARIABLE_7578" $$unsorted)) % 31.05/31.23 (define @t89 () (not (forall @t13 (tptp.h_false_only @t88 @t4)))) % 31.05/31.23 (define @t90 () (not (forall @t13 (not (tptp.h_true_only @t88 @t4))))) % 31.05/31.23 (define @t91 () (@var "BOUND_VARIABLE_7618" $$unsorted)) % 31.05/31.23 (define @t92 () (not (tptp.h_both @t88 @t91))) % 31.05/31.23 (define @t93 () (or @t92 @t90)) % 31.05/31.23 (define @t94 () (and @t93 @t89)) % 31.05/31.23 (define @t95 () (@var "BOUND_VARIABLE_7614" $$unsorted)) % 31.05/31.23 (define @t96 () (not (tptp.g_true_only @t88 @t95))) % 31.05/31.23 (define @t97 () (or @t96 @t94)) % 31.05/31.23 (define @t98 () (forall (@list @t88 @t95 @t91) @t97)) % 31.05/31.23 (define @t99 () (and @t98 @t87)) % 31.05/31.23 (define @t100 () (not @t99)) % 31.05/31.23 (define @t101 () (@quantifiers_skolemize @t98 0)) % 31.05/31.23 (define @t102 () (forall @t13 (tptp.h_false_only @t101 @t4))) % 31.05/31.23 (define @t103 () (not @t102)) % 31.05/31.23 (define @t104 () (forall @t13 (not (tptp.h_true_only @t101 @t4)))) % 31.05/31.23 (define @t105 () (not @t104)) % 31.05/31.23 (define @t106 () (or (not (tptp.h_both @t101 (@quantifiers_skolemize @t98 2))) @t105)) % 31.05/31.23 (define @t107 () (and @t106 @t103)) % 31.05/31.23 (define @t108 () (@quantifiers_skolemize @t98 1)) % 31.05/31.23 (define @t109 () (tptp.g_true_only @t101 @t108)) % 31.05/31.23 (define @t110 () (not @t109)) % 31.05/31.23 (define @t111 () (or @t110 @t107)) % 31.05/31.23 (define @t112 () (not @t111)) % 31.05/31.23 (define @t113 () (not @t98)) % 31.05/31.23 (define @t114 () (not @t9)) % 31.05/31.23 (define @t115 () (forall @t10 @t114)) % 31.05/31.23 (define @t116 () (not @t115)) % 31.05/31.23 (define @t117 () (not @t116)) % 31.05/31.23 (define @t118 () (@var "BOUND_VARIABLE_7696" $$unsorted)) % 31.05/31.23 (define @t119 () (tptp.g_false_only @t2 @t118)) % 31.05/31.23 (define @t120 () (not (tptp.g_both @t2 @t118))) % 31.05/31.23 (define @t121 () (forall @t13 @t114)) % 31.05/31.23 (define @t122 () (not @t121)) % 31.05/31.23 (define @t123 () (@var "BOUND_VARIABLE_7534" $$unsorted)) % 31.05/31.23 (define @t124 () (@list @t123)) % 31.05/31.23 (define @t125 () (forall @t124 (not (tptp.h_true_only @t2 @t123)))) % 31.05/31.23 (define @t126 () (not @t125)) % 31.05/31.23 (define @t127 () (@var "BOUND_VARIABLE_7692" $$unsorted)) % 31.05/31.23 (define @t128 () (not (tptp.h_both @t2 @t127))) % 31.05/31.23 (define @t129 () (or @t128 @t126 @t122 @t120 @t119)) % 31.05/31.23 (define @t130 () (@list @t2 @t127 @t118)) % 31.05/31.23 (define @t131 () (forall @t130 @t129)) % 31.05/31.23 (define @t132 () (not @t131)) % 31.05/31.23 (define @t133 () (@var "BOUND_VARIABLE_7651" $$unsorted)) % 31.05/31.23 (define @t134 () (not (tptp.h_both @t2 @t133))) % 31.05/31.23 (define @t135 () (forall @t13 (not @t7))) % 31.05/31.23 (define @t136 () (not @t135)) % 31.05/31.23 (define @t137 () (@var "BOUND_VARIABLE_7647" $$unsorted)) % 31.05/31.23 (define @t138 () (not (tptp.g_both @t2 @t137))) % 31.05/31.23 (define @t139 () (or @t138 @t136 @t134 @t70)) % 31.05/31.23 (define @t140 () (forall (@list @t2 @t137 @t133) @t139)) % 31.05/31.23 (define @t141 () (not @t140)) % 31.05/31.23 (define @t142 () (or @t120 @t119)) % 31.05/31.23 (define @t143 () (or @t128 @t126 @t142 @t122)) % 31.05/31.23 (define @t144 () (forall @t130 @t143)) % 31.05/31.23 (define @t145 () (forall (@list @t127 @t118) @t143)) % 31.05/31.23 (define @t146 () (forall (@list @t118) @t142)) % 31.05/31.23 (define @t147 () (@list @t4)) % 31.05/31.23 (define @t148 () (forall (@list @t127) @t128)) % 31.05/31.23 (define @t149 () (@list @t1)) % 31.05/31.23 (define @t150 () (or @t148 @t126 @t146 @t122)) % 31.05/31.23 (define @t151 () (not @t5)) % 31.05/31.23 (define @t152 () (or @t151 @t17)) % 31.05/31.23 (define @t153 () (forall @t13 @t152)) % 31.05/31.23 (define @t154 () (not @t6)) % 31.05/31.23 (define @t155 () (forall @t8 @t154)) % 31.05/31.23 (define @t156 () (or @t155 @t126 @t153 @t122)) % 31.05/31.23 (define @t157 () (or @t155 @t126 @t153)) % 31.05/31.23 (define @t158 () (not @t157)) % 31.05/31.23 (define @t159 () (and @t158 @t121)) % 31.05/31.23 (define @t160 () (forall @t26 (not @t159))) % 31.05/31.23 (define @t161 () (not @t160)) % 31.05/31.23 (define @t162 () (or @t155 @t126 @t152)) % 31.05/31.23 (define @t163 () (or @t151 @t155 @t17 @t126)) % 31.05/31.23 (define @t164 () (or @t151 @t155)) % 31.05/31.23 (define @t165 () (not @t17)) % 31.05/31.23 (define @t166 () (not @t165)) % 31.05/31.23 (define @t167 () (not @t164)) % 31.05/31.23 (define @t168 () (not @t167)) % 31.05/31.23 (define @t169 () (or @t168 @t166 @t126)) % 31.05/31.23 (define @t170 () (or @t166 @t126)) % 31.05/31.23 (define @t171 () (and @t165 @t125)) % 31.05/31.23 (define @t172 () (not @t171)) % 31.05/31.23 (define @t173 () (and @t167 @t165 @t125)) % 31.05/31.23 (define @t174 () (forall @t13 (not @t173))) % 31.05/31.23 (define @t175 () (not @t174)) % 31.05/31.23 (define @t176 () (not @t16)) % 31.05/31.23 (define @t177 () (forall @t8 @t176)) % 31.05/31.23 (define @t178 () (@list @t123)) % 31.05/31.23 (define @t179 () (forall @t8 @t165)) % 31.05/31.23 (define @t180 () (and @t179 @t177)) % 31.05/31.23 (define @t181 () (forall @t8 (not @t18))) % 31.05/31.23 (define @t182 () (not @t181)) % 31.05/31.23 (define @t183 () (forall @t8 (not @t21))) % 31.05/31.23 (define @t184 () (not @t183)) % 31.05/31.23 (define @t185 () (@list @t84)) % 31.05/31.23 (define @t186 () (forall @t185 @t86)) % 31.05/31.23 (define @t187 () (@list @t81)) % 31.05/31.23 (define @t188 () (forall @t185 @t85)) % 31.05/31.23 (define @t189 () (or @t188 @t83 @t82)) % 31.05/31.23 (define @t190 () (forall @t187 (or (forall @t13 (not (tptp.g_both @t81 @t4))) @t83 @t82))) % 31.05/31.23 (define @t191 () (forall (@list @t95 @t91) @t97)) % 31.05/31.23 (define @t192 () (@list @t88)) % 31.05/31.23 (define @t193 () (@list @t91)) % 31.05/31.23 (define @t194 () (forall @t193 @t89)) % 31.05/31.23 (define @t195 () (forall @t193 @t92)) % 31.05/31.23 (define @t196 () (or @t195 @t90)) % 31.05/31.23 (define @t197 () (forall @t193 @t93)) % 31.05/31.23 (define @t198 () (and @t197 @t194)) % 31.05/31.23 (define @t199 () (forall @t193 @t94)) % 31.05/31.23 (define @t200 () (forall (@list @t95) @t96)) % 31.05/31.23 (define @t201 () (or @t200 @t199)) % 31.05/31.23 (define @t202 () (forall @t192 (or (forall @t13 (not (tptp.g_true_only @t88 @t4))) (and (or (forall @t13 (not (tptp.h_both @t88 @t4))) @t90) @t89)))) % 31.05/31.23 (define @t203 () (not @t28)) % 31.05/31.23 (define @t204 () (forall @t13 @t151)) % 31.05/31.23 (define @t205 () (or @t204 @t136 @t203)) % 31.05/31.23 (define @t206 () (forall @t26 @t205)) % 31.05/31.23 (define @t207 () (@list @t2)) % 31.05/31.23 (define @t208 () (forall @t13 (not @t36))) % 31.05/31.23 (define @t209 () (or @t135 (and (or @t208 @t70) @t203))) % 31.05/31.23 (define @t210 () (forall @t26 @t209)) % 31.05/31.23 (define @t211 () (and @t210 @t206)) % 31.05/31.23 (define @t212 () (not @t204)) % 31.05/31.23 (define @t213 () (not @t212)) % 31.05/31.23 (define @t214 () (or @t213 @t136 @t203)) % 31.05/31.23 (define @t215 () (not @t208)) % 31.05/31.23 (define @t216 () (not @t215)) % 31.05/31.23 (define @t217 () (or @t216 @t70)) % 31.05/31.23 (define @t218 () (and @t215 @t69)) % 31.05/31.23 (define @t219 () (not @t218)) % 31.05/31.23 (define @t220 () (or @t218 @t28)) % 31.05/31.23 (define @t221 () (not @t220)) % 31.05/31.23 (define @t222 () (and @t212 @t135 @t28)) % 31.05/31.23 (define @t223 () (and @t136 @t220)) % 31.05/31.23 (define @t224 () (or @t223 @t222)) % 31.05/31.23 (define @t225 () (forall @t26 (not @t224))) % 31.05/31.23 (define @t226 () (not @t225)) % 31.05/31.23 (define @t227 () (forall (@list @t137 @t133) @t139)) % 31.05/31.23 (define @t228 () (forall (@list @t133) @t134)) % 31.05/31.23 (define @t229 () (forall (@list @t137) @t138)) % 31.05/31.23 (define @t230 () (or @t229 @t136 @t228 @t70)) % 31.05/31.23 (define @t231 () (or @t213 @t136 @t216 @t70)) % 31.05/31.23 (define @t232 () (and @t212 @t135 @t215 @t69)) % 31.05/31.23 (define @t233 () (forall @t26 (not @t232))) % 31.05/31.23 (define @t234 () (not @t233)) % 31.05/31.23 (define @t235 () (@list @t71)) % 31.05/31.23 (define @t236 () (forall @t235 @t73)) % 31.05/31.23 (define @t237 () (forall @t235 @t72)) % 31.05/31.23 (define @t238 () (or @t237 @t70)) % 31.05/31.23 (define @t239 () (tptp.h_false_only @t101 @t1)) % 31.05/31.23 (define @t240 () (tptp.g_both @t101 @t108)) % 31.05/31.23 (define @t241 () (forall @t8 (or (and @t109 (or (tptp.h_both @t101 @t1) @t239)) (and @t240 @t239)))) % 31.05/31.23 (define @t242 () (not @t241)) % 31.05/31.23 (define @t243 () (@quantifiers_skolemize @t241 0)) % 31.05/31.23 (define @t244 () (tptp.h_false_only @t101 @t243)) % 31.05/31.23 (define @t245 () (tptp.h_both @t101 @t243)) % 31.05/31.23 (define @t246 () (or @t245 @t244)) % 31.05/31.23 (define @t247 () (and @t109 @t246)) % 31.05/31.23 (define @t248 () (or @t247 (and @t240 @t244))) % 31.05/31.23 (define @t249 () (not @t248)) % 31.05/31.23 (define @t250 () (tptp.h_true_only @t101 @t243)) % 31.05/31.23 (define @t251 () (or @t250 @t245 @t244)) % 31.05/31.23 (define @t252 () (@list @t243)) % 31.05/31.23 (define @t253 () (not @t106)) % 31.05/31.23 (define @t254 () (@quantifiers_skolemize @t87 0)) % 31.05/31.23 (define @t255 () (forall @t13 (tptp.h_false_only @t254 @t4))) % 31.05/31.23 (define @t256 () (not @t255)) % 31.05/31.23 (define @t257 () (@quantifiers_skolemize @t87 1)) % 31.05/31.23 (define @t258 () (tptp.g_both @t254 @t257)) % 31.05/31.23 (define @t259 () (not @t258)) % 31.05/31.23 (define @t260 () (or @t259 (not (forall @t13 (not (tptp.g_true_only @t254 @t4)))) @t256)) % 31.05/31.23 (define @t261 () (not @t260)) % 31.05/31.23 (define @t262 () (not @t87)) % 31.05/31.23 (define @t263 () (tptp.h_false_only @t254 @t1)) % 31.05/31.23 (define @t264 () (tptp.g_true_only @t254 @t257)) % 31.05/31.23 (define @t265 () (forall @t8 (or (and @t264 (or (tptp.h_both @t254 @t1) @t263)) (and @t258 @t263)))) % 31.05/31.23 (define @t266 () (not @t265)) % 31.05/31.23 (define @t267 () (@quantifiers_skolemize @t265 0)) % 31.05/31.23 (define @t268 () (tptp.h_false_only @t254 @t267)) % 31.05/31.23 (define @t269 () (and @t258 @t268)) % 31.05/31.23 (define @t270 () (or (and @t264 (or (tptp.h_both @t254 @t267) @t268)) @t269)) % 31.05/31.23 (define @t271 () (not @t270)) % 31.05/31.23 (define @t272 () (@quantifiers_skolemize @t115 0)) % 31.05/31.23 (define @t273 () (forall @t13 (not (tptp.g_true_only @t272 @t4)))) % 31.05/31.23 (define @t274 () (@quantifiers_skolemize @t273 0)) % 31.05/31.23 (define @t275 () (forall @t13 (tptp.h_false_only @t272 @t4))) % 31.05/31.23 (define @t276 () (not @t275)) % 31.05/31.23 (define @t277 () (forall @t13 (not (tptp.h_true_only @t272 @t4)))) % 31.05/31.23 (define @t278 () (not @t277)) % 31.05/31.23 (define @t279 () (tptp.h_both @t272 @t75)) % 31.05/31.23 (define @t280 () (and (or (not @t279) @t278) @t276)) % 31.05/31.23 (define @t281 () (tptp.g_true_only @t272 @t274)) % 31.05/31.23 (define @t282 () (not @t281)) % 31.05/31.23 (define @t283 () (or @t282 @t280)) % 31.05/31.23 (define @t284 () (@quantifiers_skolemize @t275 0)) % 31.05/31.23 (define @t285 () (@quantifiers_skolemize @t115 1)) % 31.05/31.23 (define @t286 () (tptp.h_both @t272 @t284)) % 31.05/31.23 (define @t287 () (not @t286)) % 31.05/31.23 (define @t288 () (or @t287 @t278)) % 31.05/31.23 (define @t289 () (and @t288 @t276)) % 31.05/31.23 (define @t290 () (tptp.g_true_only @t272 @t285)) % 31.05/31.23 (define @t291 () (not @t290)) % 31.05/31.23 (define @t292 () (or @t291 @t289)) % 31.05/31.23 (define @t293 () (and (or (not (tptp.h_both @t272 @t272)) @t278) @t276)) % 31.05/31.23 (define @t294 () (or @t291 @t293)) % 31.05/31.23 (define @t295 () (forall @t13 (tptp.h_false_only @t75 @t4))) % 31.05/31.23 (define @t296 () (@quantifiers_skolemize @t295 0)) % 31.05/31.23 (define @t297 () (tptp.g_true_only @t75 @t4)) % 31.05/31.23 (define @t298 () (forall @t13 (not @t297))) % 31.05/31.23 (define @t299 () (@quantifiers_skolemize @t298 0)) % 31.05/31.23 (define @t300 () (not @t295)) % 31.05/31.23 (define @t301 () (tptp.h_both @t75 @t296)) % 31.05/31.23 (define @t302 () (not @t301)) % 31.05/31.23 (define @t303 () (or @t302 @t77)) % 31.05/31.23 (define @t304 () (and @t303 @t300)) % 31.05/31.23 (define @t305 () (tptp.g_true_only @t75 @t299)) % 31.05/31.23 (define @t306 () (not @t305)) % 31.05/31.23 (define @t307 () (or @t306 @t304)) % 31.05/31.23 (define @t308 () (and (or (not (tptp.h_both @t75 @t75)) @t77) @t300)) % 31.05/31.23 (define @t309 () (or @t306 @t308)) % 31.05/31.23 (define @t310 () (@list @t296)) % 31.05/31.23 (define @t311 () (tptp.h_true_only @t75 @t296)) % 31.05/31.23 (define @t312 () (not @t309)) % 31.05/31.23 (define @t313 () (not @t307)) % 31.05/31.23 (define @t314 () (tptp.h_false_only @t75 @t296)) % 31.05/31.23 (define @t315 () (not @t314)) % 31.05/31.23 (define @t316 () (or @t311 @t301 @t314)) % 31.05/31.23 (define @t317 () (@list false true true false true false false true)) % 31.05/31.23 (define @t318 () (not @t298)) % 31.05/31.23 (define @t319 () (not @t306)) % 31.05/31.23 (define @t320 () (tptp.g_true_only @t75 @t78)) % 31.05/31.23 (define @t321 () (@list @t75 @t78)) % 31.05/31.23 (define @t322 () (tptp.g_both @t75 @t78)) % 31.05/31.23 (define @t323 () (or @t320 @t322 @t79)) % 31.05/31.23 (define @t324 () (tptp.h_false_only @t75 @t1)) % 31.05/31.23 (define @t325 () (or (tptp.h_both @t75 @t1) @t324)) % 31.05/31.23 (define @t326 () (forall @t13 (not (forall @t8 (or (and @t297 @t325) (and (tptp.g_both @t75 @t4) @t324)))))) % 31.05/31.23 (define @t327 () (@quantifiers_skolemize @t326 0)) % 31.05/31.23 (define @t328 () (tptp.g_true_only @t75 @t327)) % 31.05/31.23 (define @t329 () (and @t328 (or @t301 @t314))) % 31.05/31.23 (define @t330 () (not @t322)) % 31.05/31.23 (define @t331 () (or @t330 @t318 @t300)) % 31.05/31.23 (define @t332 () (not @t273)) % 31.05/31.23 (define @t333 () (tptp.g_both @t272 @t285)) % 31.05/31.23 (define @t334 () (not @t333)) % 31.05/31.23 (define @t335 () (or @t334 @t332 @t276)) % 31.05/31.23 (define @t336 () (tptp.g_both @t75 @t327)) % 31.05/31.23 (define @t337 () (and @t336 @t314)) % 31.05/31.23 (define @t338 () (or @t330 @t318 @t302 @t77)) % 31.05/31.23 (define @t339 () (or @t329 @t337)) % 31.05/31.23 (define @t340 () (forall @t8 (or (and @t328 @t325) (and @t336 @t324)))) % 31.05/31.23 (define @t341 () (not @t326)) % 31.05/31.23 (define @t342 () (not (not @t340))) % 31.05/31.23 (define @t343 () (forall @t124 (not (tptp.h_true_only @t75 @t123)))) % 31.05/31.23 (define @t344 () (not @t343)) % 31.05/31.23 (define @t345 () (or @t302 @t344 @t341 @t330 @t79)) % 31.05/31.23 (define @t346 () (tptp.h_false_only @t272 @t1)) % 31.05/31.23 (define @t347 () (forall @t8 (or (and @t290 (or (tptp.h_both @t272 @t1) @t346)) (and @t333 @t346)))) % 31.05/31.23 (define @t348 () (not (not @t347))) % 31.05/31.23 (define @t349 () (tptp.h_false_only @t272 @t75)) % 31.05/31.23 (define @t350 () (and @t333 @t349)) % 31.05/31.23 (define @t351 () (and @t290 (or @t279 @t349))) % 31.05/31.23 (define @t352 () (or @t351 @t350)) % 31.05/31.23 (define @t353 () (@quantifiers_skolemize @t277 0)) % 31.05/31.23 (define @t354 () (tptp.h_false_only @t272 @t353)) % 31.05/31.23 (define @t355 () (and @t333 @t354)) % 31.05/31.23 (define @t356 () (tptp.h_both @t272 @t353)) % 31.05/31.23 (define @t357 () (or @t356 @t354)) % 31.05/31.23 (define @t358 () (and @t290 @t357)) % 31.05/31.23 (define @t359 () (or @t358 @t355)) % 31.05/31.23 (define @t360 () (@list @t284)) % 31.05/31.23 (define @t361 () (tptp.h_false_only @t272 @t284)) % 31.05/31.23 (define @t362 () (and @t333 @t361)) % 31.05/31.23 (define @t363 () (and @t290 (or @t286 @t361))) % 31.05/31.23 (define @t364 () (or @t363 @t362)) % 31.05/31.23 (define @t365 () (tptp.h_false @t272 @t353)) % 31.05/31.23 (define @t366 () (not @t365)) % 31.05/31.23 (define @t367 () (tptp.h_true @t272 @t353)) % 31.05/31.23 (define @t368 () (and @t367 @t366)) % 31.05/31.23 (define @t369 () (not @t368)) % 31.05/31.23 (define @t370 () (not @t367)) % 31.05/31.23 (define @t371 () (and @t365 @t370)) % 31.05/31.23 (define @t372 () (and @t367 @t365)) % 31.05/31.23 (define @t373 () (@list @t272 @t353)) % 31.05/31.23 (define @t374 () (= @t354 @t371)) % 31.05/31.23 (define @t375 () (= @t356 @t372)) % 31.05/31.23 (define @t376 () (not @t359)) % 31.05/31.23 (define @t377 () (tptp.h_true_only @t272 @t353)) % 31.05/31.23 (define @t378 () (= @t377 @t368)) % 31.05/31.23 (define @t379 () (not @t377)) % 31.05/31.23 (define @t380 () (not @t379)) % 31.05/31.23 (define @t381 () (tptp.h_true_only @t272 @t284)) % 31.05/31.23 (define @t382 () (not @t294)) % 31.05/31.23 (define @t383 () (not @t292)) % 31.05/31.23 (define @t384 () (not @t361)) % 31.05/31.23 (define @t385 () (or @t381 @t286 @t361)) % 31.05/31.23 (define @t386 () (not @t282)) % 31.05/31.23 (define @t387 () (not @t80)) % 31.05/31.23 (define @t388 () (not @t74)) % 31.05/31.23 (define @t389 () (@list false)) % 31.05/31.23 (define @t390 () (@var "BOUND_VARIABLE_7744" $$unsorted)) % 31.05/31.23 (define @t391 () (@var "BOUND_VARIABLE_7745" $$unsorted)) % 31.05/31.23 (define @t392 () (@var "BOUND_VARIABLE_7746" $$unsorted)) % 31.05/31.23 (define @t393 () (@list @t390 @t391 @t392)) % 31.05/31.23 (define @t394 () (forall @t10 (or @t17 @t126))) % 31.05/31.23 (assume @p1 @t54) % 31.05/31.23 (assume @p2 (forall @t60 (= @t59 (and @t58 (not @t57))))) % 31.05/31.23 (assume @p3 (forall @t60 (= @t61 (and @t58 @t57)))) % 31.05/31.23 (assume @p4 (forall @t60 (= @t62 (and @t57 (not @t58))))) % 31.05/31.23 (assume @p5 @t63) % 31.05/31.23 (assume @p6 (forall @t60 (= @t66 (and @t65 (not @t64))))) % 31.05/31.23 (assume @p7 (forall @t60 (= @t67 (and @t65 @t64)))) % 31.05/31.23 (assume @p8 (forall @t60 (= @t68 (and @t64 (not @t65))))) % 31.05/31.23 (assume @p9 (forall @t60 (or @t66 @t67 @t68))) % 31.05/31.23 (assume @p10 true) % 31.05/31.23 (step @p11 :rule cnf_or_neg :args (@t80 0)) % 31.05/31.23 (step @p12 :rule bool-double-not-elim :args (@t76)) % 31.05/31.23 (step @p13 :rule refl :args (@t80)) % 31.05/31.23 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or @t80 (not @t77)))) % 31.05/31.23 (step @p15 :rule cnf_or_neg :args (@t80 1)) % 31.05/31.23 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 31.05/31.23 (step @p17 :rule reordering :premises (@p16) :args ((or @t76 @t80))) % 31.05/31.23 (step @p18 :rule cnf_and_pos :args (@t99 0)) % 31.05/31.23 (step @p19 :rule reordering :premises (@p18) :args ((or @t98 @t100))) % 31.05/31.23 (step @p20 :rule refl :args (@t112)) % 31.05/31.23 (step @p21 :rule bool-double-not-elim :args (@t98)) % 31.05/31.23 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t113) @t112))) % 31.05/31.23 (assume-push @p647 @t113) % 31.05/31.23 (step @p24 :rule skolemize :premises (@p647)) % 31.05/31.23 (step-pop @p648 :rule scope :premises (@p24)) % 31.05/31.23 (step @p25 :rule process_scope :premises (@p648) :args (@t112)) % 31.05/31.23 (step @p27 :rule implies_elim :premises (@p25)) % 31.05/31.23 (step @p28 :rule eq_resolve :premises (@p27 @p22)) % 31.05/31.23 (step @p29 :rule bool-double-not-elim :args (@t115)) % 31.05/31.23 (step @p30 :rule bool-double-not-elim :args (@t99)) % 31.05/31.23 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or (not @t100) @t117))) % 31.05/31.23 (step @p32 :rule aci_norm :args ((= (and @t141 @t99 @t132 @t115) (and @t141 @t132 @t115 @t98 @t87)))) % 31.05/31.23 (step @p33 :rule exists-elim :args ((= @t11 @t116))) % 31.05/31.23 (step @p34 :rule cong :premises (@p33) :args (@t12)) % 31.05/31.23 (step @p35 :rule trans :premises (@p34 @p29)) % 31.05/31.23 (step @p36 :rule aci_norm :args ((= @t143 @t129))) % 31.05/31.23 (step @p37 :rule cong :premises (@p36) :args (@t144)) % 31.05/31.23 (step @p38 :rule quant-merge-prenex :args ((= (forall @t26 @t145) @t144))) % 31.05/31.23 (step @p39 :rule refl :args (@t122)) % 31.05/31.23 (step @p40 :rule alpha_equiv :args (@t146 (@list @t118) @t147)) % 31.05/31.23 (step @p41 :rule refl :args (@t126)) % 31.05/31.23 (step @p42 :rule alpha_equiv :args (@t148 (@list @t127) @t149)) % 31.05/31.23 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40 @p39) :args (@t150)) % 31.05/31.23 (step @p44 :rule quant-miniscope-or :args ((= @t145 @t150))) % 31.05/31.23 (step @p45 :rule trans :premises (@p44 @p43)) % 31.05/31.23 (step @p46 :rule symm :premises (@p45)) % 31.05/31.23 (step @p47 :rule cong :premises (@p46) :args ((forall @t26 @t156))) % 31.05/31.23 (step @p48 :rule trans :premises (@p47 @p38)) % 31.05/31.23 (step @p49 :rule trans :premises (@p48 @p37)) % 31.05/31.23 (step @p50 :rule aci_norm :args ((= (or @t157 @t122) @t156))) % 31.05/31.23 (step @p51 :rule bool-double-not-elim :args (@t157)) % 31.05/31.23 (step @p52 :rule nary_cong :premises (@p51 @p39) :args ((or (not @t158) @t122))) % 31.05/31.23 (step @p53 :rule bool-and-de-morgan :args (@t158 @t121 true)) % 31.05/31.23 (step @p54 :rule trans :premises (@p53 @p52)) % 31.05/31.23 (step @p55 :rule trans :premises (@p54 @p50)) % 31.05/31.23 (step @p56 :rule cong :premises (@p55) :args (@t160)) % 31.05/31.23 (step @p57 :rule trans :premises (@p56 @p49)) % 31.05/31.23 (step @p58 :rule cong :premises (@p57) :args (@t161)) % 31.05/31.23 (step @p59 :rule exists-elim :args ((= (exists @t26 @t159) @t161))) % 31.05/31.23 (step @p60 :rule trans :premises (@p59 @p58)) % 31.05/31.23 (step @p61 :rule bool-double-not-elim :args (@t121)) % 31.05/31.23 (step @p62 :rule exists-elim :args ((= @t14 @t122))) % 31.05/31.23 (step @p63 :rule cong :premises (@p62) :args (@t15)) % 31.05/31.23 (step @p64 :rule trans :premises (@p63 @p61)) % 31.05/31.23 (step @p65 :rule quant-miniscope-or :args ((= (forall @t13 @t162) @t157))) % 31.05/31.23 (step @p66 :rule aci_norm :args ((= @t163 @t162))) % 31.05/31.23 (step @p67 :rule cong :premises (@p66) :args ((forall @t13 @t163))) % 31.05/31.23 (step @p68 :rule trans :premises (@p67 @p65)) % 31.05/31.23 (step @p69 :rule aci_norm :args ((= (or @t164 @t17 @t126) @t163))) % 31.05/31.23 (step @p70 :rule bool-double-not-elim :args (@t17)) % 31.05/31.23 (step @p71 :rule bool-double-not-elim :args (@t164)) % 31.05/31.23 (step @p72 :rule nary_cong :premises (@p71 @p70 @p41) :args (@t169)) % 31.05/31.23 (step @p73 :rule aci_norm :args ((= (or @t168 @t170) @t169))) % 31.05/31.23 (step @p74 :rule trans :premises (@p73 @p72)) % 31.05/31.23 (step @p75 :rule bool-and-de-morgan :args (@t165 @t125 true)) % 31.05/31.23 (step @p76 :rule refl :args (@t168)) % 31.05/31.23 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t168 @t172))) % 31.05/31.23 (step @p78 :rule bool-and-de-morgan :args (@t167 @t165 (and @t125))) % 31.05/31.23 (step @p79 :rule trans :premises (@p78 @p77)) % 31.05/31.23 (step @p80 :rule trans :premises (@p79 @p74)) % 31.05/31.23 (step @p81 :rule trans :premises (@p80 @p69)) % 31.05/31.23 (step @p82 :rule cong :premises (@p81) :args (@t174)) % 31.05/31.23 (step @p83 :rule trans :premises (@p82 @p68)) % 31.05/31.23 (step @p84 :rule cong :premises (@p83) :args (@t175)) % 31.05/31.23 (step @p85 :rule exists-elim :args ((= (exists @t13 @t173) @t175))) % 31.05/31.23 (step @p86 :rule trans :premises (@p85 @p84)) % 31.05/31.23 (step @p87 :rule aci_norm :args ((= (and @t167 @t171) @t173))) % 31.05/31.23 (step @p88 :rule bool-double-not-elim :args (@t171)) % 31.05/31.23 (step @p89 :rule alpha_equiv :args (@t177 @t149 @t178)) % 31.05/31.23 (step @p90 :rule quant-unused-vars :args ((= @t179 @t165))) % 31.05/31.23 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t180)) % 31.05/31.23 (step @p92 :rule quant-miniscope-and :args ((= (forall @t8 (and @t165 @t176)) @t180))) % 31.05/31.23 (step @p93 :rule trans :premises (@p92 @p91)) % 31.05/31.23 (step @p94 :rule bool-or-de-morgan :args (@t17 @t16 false)) % 31.05/31.23 (step @p95 :rule cong :premises (@p94) :args (@t181)) % 31.05/31.23 (step @p96 :rule trans :premises (@p95 @p93)) % 31.05/31.23 (step @p97 :rule cong :premises (@p96) :args (@t182)) % 31.05/31.23 (step @p98 :rule exists-elim :args ((= @t19 @t182))) % 31.05/31.23 (step @p99 :rule trans :premises (@p98 @p97)) % 31.05/31.23 (step @p100 :rule cong :premises (@p99) :args (@t20)) % 31.05/31.23 (step @p101 :rule trans :premises (@p100 @p88)) % 31.05/31.23 (step @p102 :rule quant-miniscope-or :args ((= (forall @t8 (or @t151 @t154)) @t164))) % 31.05/31.23 (step @p103 :rule bool-and-de-morgan :args (@t5 @t6 true)) % 31.05/31.23 (step @p104 :rule cong :premises (@p103) :args (@t183)) % 31.05/31.23 (step @p105 :rule trans :premises (@p104 @p102)) % 31.05/31.23 (step @p106 :rule cong :premises (@p105) :args (@t184)) % 31.05/31.23 (step @p107 :rule exists-elim :args ((= @t22 @t184))) % 31.05/31.23 (step @p108 :rule trans :premises (@p107 @p106)) % 31.05/31.23 (step @p109 :rule nary_cong :premises (@p108 @p101) :args (@t23)) % 31.05/31.23 (step @p110 :rule trans :premises (@p109 @p87)) % 31.05/31.23 (step @p111 :rule cong :premises (@p110) :args (@t24)) % 31.05/31.23 (step @p112 :rule trans :premises (@p111 @p86)) % 31.05/31.23 (step @p113 :rule nary_cong :premises (@p112 @p64) :args (@t25)) % 31.05/31.23 (step @p114 :rule cong :premises (@p113) :args (@t27)) % 31.05/31.23 (step @p115 :rule trans :premises (@p114 @p60)) % 31.05/31.23 (step @p116 :rule quant-merge-prenex :args ((= (forall @t187 @t186) @t87))) % 31.05/31.23 (step @p117 :rule refl :args (@t82)) % 31.05/31.23 (step @p118 :rule refl :args (@t83)) % 31.05/31.23 (step @p119 :rule alpha_equiv :args (@t188 (@list @t84) @t147)) % 31.05/31.23 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t189)) % 31.05/31.23 (step @p121 :rule quant-miniscope-or :args ((= @t186 @t189))) % 31.05/31.23 (step @p122 :rule trans :premises (@p121 @p120)) % 31.05/31.23 (step @p123 :rule symm :premises (@p122)) % 31.05/31.23 (step @p124 :rule cong :premises (@p123) :args (@t190)) % 31.05/31.23 (step @p125 :rule trans :premises (@p124 @p116)) % 31.05/31.23 (step @p126 :rule quant-merge-prenex :args ((= (forall @t192 @t191) @t98))) % 31.05/31.23 (step @p127 :rule quant-unused-vars :args ((= @t194 @t89))) % 31.05/31.23 (step @p128 :rule refl :args (@t90)) % 31.05/31.23 (step @p129 :rule alpha_equiv :args (@t195 (@list @t91) @t147)) % 31.05/31.23 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t196)) % 31.05/31.23 (step @p131 :rule quant-miniscope-or :args ((= @t197 @t196))) % 31.05/31.23 (step @p132 :rule trans :premises (@p131 @p130)) % 31.05/31.23 (step @p133 :rule nary_cong :premises (@p132 @p127) :args (@t198)) % 31.05/31.23 (step @p134 :rule quant-miniscope-and :args ((= @t199 @t198))) % 31.05/31.23 (step @p135 :rule trans :premises (@p134 @p133)) % 31.05/31.23 (step @p136 :rule alpha_equiv :args (@t200 (@list @t95) @t147)) % 31.05/31.23 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t201)) % 31.05/31.23 (step @p138 :rule quant-miniscope-or :args ((= @t191 @t201))) % 31.05/31.23 (step @p139 :rule trans :premises (@p138 @p137)) % 31.05/31.23 (step @p140 :rule symm :premises (@p139)) % 31.05/31.23 (step @p141 :rule cong :premises (@p140) :args (@t202)) % 31.05/31.23 (step @p142 :rule trans :premises (@p141 @p126)) % 31.05/31.23 (step @p143 :rule nary_cong :premises (@p142 @p125) :args ((and @t202 @t190))) % 31.05/31.23 (step @p144 :rule alpha_equiv :args (@t206 @t207 (@list @t81))) % 31.05/31.23 (step @p145 :rule alpha_equiv :args (@t210 @t207 (@list @t88))) % 31.05/31.23 (step @p146 :rule nary_cong :premises (@p145 @p144) :args (@t211)) % 31.05/31.23 (step @p147 :rule quant-miniscope-and :args ((= (forall @t26 (and @t209 @t205)) @t211))) % 31.05/31.23 (step @p148 :rule trans :premises (@p147 @p146)) % 31.05/31.23 (step @p149 :rule trans :premises (@p148 @p143)) % 31.05/31.23 (step @p150 :rule refl :args (@t203)) % 31.05/31.23 (step @p151 :rule refl :args (@t136)) % 31.05/31.23 (step @p152 :rule bool-double-not-elim :args (@t204)) % 31.05/31.23 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150) :args (@t214)) % 31.05/31.23 (step @p154 :rule aci_norm :args ((= (or @t213 (or @t136 @t203)) @t214))) % 31.05/31.23 (step @p155 :rule trans :premises (@p154 @p153)) % 31.05/31.23 (step @p156 :rule bool-and-de-morgan :args (@t135 @t28 true)) % 31.05/31.23 (step @p157 :rule refl :args (@t213)) % 31.05/31.23 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or @t213 (not (and @t135 @t28))))) % 31.05/31.23 (step @p159 :rule bool-and-de-morgan :args (@t212 @t135 (and @t28))) % 31.05/31.23 (step @p160 :rule trans :premises (@p159 @p158)) % 31.05/31.23 (step @p161 :rule trans :premises (@p160 @p155)) % 31.05/31.23 (step @p162 :rule refl :args (@t70)) % 31.05/31.23 (step @p163 :rule bool-double-not-elim :args (@t208)) % 31.05/31.23 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t217)) % 31.05/31.23 (step @p165 :rule bool-and-de-morgan :args (@t215 @t69 true)) % 31.05/31.23 (step @p166 :rule trans :premises (@p165 @p164)) % 31.05/31.23 (step @p167 :rule nary_cong :premises (@p166 @p150) :args ((and @t219 @t203))) % 31.05/31.23 (step @p168 :rule bool-or-de-morgan :args (@t218 @t28 false)) % 31.05/31.23 (step @p169 :rule trans :premises (@p168 @p167)) % 31.05/31.23 (step @p170 :rule refl :args (@t135)) % 31.05/31.23 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or @t135 @t221))) % 31.05/31.23 (step @p172 :rule refl :args (@t221)) % 31.05/31.23 (step @p173 :rule bool-double-not-elim :args (@t135)) % 31.05/31.23 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or (not @t136) @t221))) % 31.05/31.23 (step @p175 :rule bool-and-de-morgan :args (@t136 @t220 true)) % 31.05/31.23 (step @p176 :rule trans :premises (@p175 @p174)) % 31.05/31.23 (step @p177 :rule trans :premises (@p176 @p171)) % 31.05/31.23 (step @p178 :rule nary_cong :premises (@p177 @p161) :args ((and (not @t223) (not @t222)))) % 31.05/31.23 (step @p179 :rule bool-or-de-morgan :args (@t223 @t222 false)) % 31.05/31.23 (step @p180 :rule trans :premises (@p179 @p178)) % 31.05/31.23 (step @p181 :rule cong :premises (@p180) :args (@t225)) % 31.05/31.23 (step @p182 :rule trans :premises (@p181 @p149)) % 31.05/31.23 (step @p183 :rule cong :premises (@p182) :args (@t226)) % 31.05/31.23 (step @p184 :rule exists-elim :args ((= (exists @t26 @t224) @t226))) % 31.05/31.23 (step @p185 :rule trans :premises (@p184 @p183)) % 31.05/31.23 (step @p186 :rule refl :args (@t28)) % 31.05/31.23 (step @p187 :rule exists-elim :args ((= @t29 @t136))) % 31.05/31.23 (step @p188 :rule cong :premises (@p187) :args (@t30)) % 31.05/31.23 (step @p189 :rule trans :premises (@p188 @p173)) % 31.05/31.23 (step @p190 :rule exists-elim :args ((= @t31 @t212))) % 31.05/31.23 (step @p191 :rule nary_cong :premises (@p190 @p189 @p186) :args (@t32)) % 31.05/31.23 (step @p192 :rule bool-double-not-elim :args (@t69)) % 31.05/31.23 (step @p193 :rule exists-elim :args ((= @t34 @t70))) % 31.05/31.23 (step @p194 :rule cong :premises (@p193) :args (@t35)) % 31.05/31.23 (step @p195 :rule trans :premises (@p194 @p192)) % 31.05/31.23 (step @p196 :rule exists-elim :args ((= @t37 @t215))) % 31.05/31.23 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (@t38)) % 31.05/31.23 (step @p198 :rule nary_cong :premises (@p197 @p186) :args (@t39)) % 31.05/31.23 (step @p199 :rule nary_cong :premises (@p187 @p198) :args (@t40)) % 31.05/31.23 (step @p200 :rule nary_cong :premises (@p199 @p191) :args (@t41)) % 31.05/31.23 (step @p201 :rule cong :premises (@p200) :args (@t42)) % 31.05/31.23 (step @p202 :rule trans :premises (@p201 @p185)) % 31.05/31.23 (step @p203 :rule cong :premises (@p202) :args (@t43)) % 31.05/31.23 (step @p204 :rule trans :premises (@p203 @p30)) % 31.05/31.23 (step @p205 :rule quant-merge-prenex :args ((= (forall @t26 @t227) @t140))) % 31.05/31.23 (step @p206 :rule alpha_equiv :args (@t228 (@list @t133) @t147)) % 31.05/31.23 (step @p207 :rule alpha_equiv :args (@t229 (@list @t137) @t147)) % 31.05/31.23 (step @p208 :rule nary_cong :premises (@p207 @p151 @p206 @p162) :args (@t230)) % 31.05/31.23 (step @p209 :rule quant-miniscope-or :args ((= @t227 @t230))) % 31.05/31.23 (step @p210 :rule trans :premises (@p209 @p208)) % 31.05/31.23 (step @p211 :rule symm :premises (@p210)) % 31.05/31.23 (step @p212 :rule cong :premises (@p211) :args ((forall @t26 (or @t204 @t136 @t208 @t70)))) % 31.05/31.23 (step @p213 :rule trans :premises (@p212 @p205)) % 31.05/31.23 (step @p214 :rule nary_cong :premises (@p152 @p151 @p163 @p162) :args (@t231)) % 31.05/31.23 (step @p215 :rule aci_norm :args ((= (or @t213 (or @t136 @t217)) @t231))) % 31.05/31.23 (step @p216 :rule trans :premises (@p215 @p214)) % 31.05/31.23 (step @p217 :rule nary_cong :premises (@p151 @p165) :args ((or @t136 @t219))) % 31.05/31.23 (step @p218 :rule bool-and-de-morgan :args (@t135 @t215 (and @t69))) % 31.05/31.23 (step @p219 :rule trans :premises (@p218 @p217)) % 31.05/31.23 (step @p220 :rule nary_cong :premises (@p157 @p219) :args ((or @t213 (not (and @t135 @t215 @t69))))) % 31.05/31.23 (step @p221 :rule bool-and-de-morgan :args (@t212 @t135 (and @t215 @t69))) % 31.05/31.23 (step @p222 :rule trans :premises (@p221 @p220)) % 31.05/31.23 (step @p223 :rule trans :premises (@p222 @p216)) % 31.05/31.23 (step @p224 :rule cong :premises (@p223) :args (@t233)) % 31.05/31.23 (step @p225 :rule trans :premises (@p224 @p213)) % 31.05/31.23 (step @p226 :rule cong :premises (@p225) :args (@t234)) % 31.05/31.23 (step @p227 :rule exists-elim :args ((= (exists @t26 @t232) @t234))) % 31.05/31.23 (step @p228 :rule trans :premises (@p227 @p226)) % 31.05/31.23 (step @p229 :rule nary_cong :premises (@p190 @p189 @p196 @p195) :args (@t44)) % 31.05/31.23 (step @p230 :rule cong :premises (@p229) :args (@t45)) % 31.05/31.23 (step @p231 :rule trans :premises (@p230 @p228)) % 31.05/31.23 (step @p232 :rule nary_cong :premises (@p231 @p204 @p115 @p35) :args (@t46)) % 31.05/31.23 (step @p233 :rule trans :premises (@p232 @p32)) % 31.05/31.23 (step @p234 :rule nary_cong :premises (@p202 @p33) :args (@t47)) % 31.05/31.23 (step @p235 :rule nary_cong :premises (@p70 @p41) :args (@t170)) % 31.05/31.23 (step @p236 :rule trans :premises (@p75 @p235)) % 31.05/31.23 (step @p237 :rule cong :premises (@p236) :args ((forall @t10 @t172))) % 31.05/31.23 (step @p238 :rule cong :premises (@p99) :args (@t48)) % 31.05/31.23 (step @p239 :rule trans :premises (@p238 @p237)) % 31.05/31.23 (step @p240 :rule quant-merge-prenex :args ((= (forall @t26 @t236) @t74))) % 31.05/31.23 (step @p241 :rule alpha_equiv :args (@t237 (@list @t71) @t147)) % 31.05/31.23 (step @p242 :rule nary_cong :premises (@p241 @p162) :args (@t238)) % 31.05/31.23 (step @p243 :rule quant-miniscope-or :args ((= @t236 @t238))) % 31.05/31.23 (step @p244 :rule trans :premises (@p243 @p242)) % 31.05/31.23 (step @p245 :rule symm :premises (@p244)) % 31.05/31.23 (step @p246 :rule cong :premises (@p245) :args ((forall @t26 (or @t49 @t70)))) % 31.05/31.23 (step @p247 :rule trans :premises (@p246 @p240)) % 31.05/31.23 (step @p248 :rule refl :args (@t49)) % 31.05/31.23 (step @p249 :rule nary_cong :premises (@p248 @p193) :args (@t50)) % 31.05/31.23 (step @p250 :rule cong :premises (@p249) :args (@t51)) % 31.05/31.23 (step @p251 :rule trans :premises (@p250 @p247)) % 31.05/31.23 (step @p252 :rule nary_cong :premises (@p251 @p239) :args (@t52)) % 31.05/31.23 (step @p253 :rule nary_cong :premises (@p252 @p234 @p233) :args (@t53)) % 31.05/31.23 (step @p254 :rule cong :premises (@p253) :args (@t54)) % 31.05/31.23 (step @p255 :rule eq_resolve :premises (@p1 @p254)) % 31.05/31.23 (step @p256 :rule not_or_elim :premises (@p255) :args (1)) % 31.05/31.23 (step @p257 :rule not_and :premises (@p256)) % 31.05/31.23 (step @p258 :rule eq_resolve :premises (@p257 @p31)) % 31.05/31.23 (step @p259 :rule bool-double-not-elim :args (@t109)) % 31.05/31.23 (step @p260 :rule refl :args (@t111)) % 31.05/31.23 (step @p261 :rule nary_cong :premises (@p260 @p259) :args ((or @t111 (not @t110)))) % 31.05/31.23 (step @p262 :rule cnf_or_neg :args (@t111 0)) % 31.05/31.23 (step @p263 :rule eq_resolve :premises (@p262 @p261)) % 31.05/31.23 (step @p264 :rule reordering :premises (@p263) :args ((or @t109 @t111))) % 31.05/31.23 (step @p265 :rule cnf_or_neg :args (@t111 1)) % 31.05/31.23 (assume-push @p649 @t115) % 31.05/31.23 (step @p267 :rule instantiate :premises (@p649) :args ((@list @t101 @t108))) % 31.05/31.23 (step-pop @p650 :rule scope :premises (@p267)) % 31.05/31.23 (step @p268 :rule process_scope :premises (@p650) :args (@t242)) % 31.05/31.23 (step @p270 :rule implies_elim :premises (@p268)) % 31.05/31.23 (step @p271 :rule refl :args (@t249)) % 31.05/31.23 (step @p272 :rule bool-double-not-elim :args (@t241)) % 31.05/31.23 (step @p273 :rule nary_cong :premises (@p272 @p271) :args ((or (not @t242) @t249))) % 31.05/31.23 (assume-push @p651 @t242) % 31.05/31.23 (step @p275 :rule skolemize :premises (@p651)) % 31.05/31.23 (step-pop @p652 :rule scope :premises (@p275)) % 31.05/31.23 (step @p276 :rule process_scope :premises (@p652) :args (@t249)) % 31.05/31.23 (step @p278 :rule implies_elim :premises (@p276)) % 31.05/31.23 (step @p279 :rule eq_resolve :premises (@p278 @p273)) % 31.05/31.23 (step @p280 :rule cnf_or_neg :args (@t248 0)) % 31.05/31.23 (step @p281 :rule cnf_and_neg :args (@t247)) % 31.05/31.23 (step @p282 :rule reordering :premises (@p281) :args ((or @t110 @t247 (not @t246)))) % 31.05/31.23 (step @p283 :rule cnf_or_neg :args (@t246 0)) % 31.05/31.23 (step @p284 :rule cnf_or_neg :args (@t246 1)) % 31.05/31.23 (step @p285 :rule instantiate :premises (@p9) :args ((@list @t101 @t243))) % 31.05/31.23 (step @p286 :rule cnf_or_pos :args (@t251)) % 31.05/31.23 (step @p287 :rule reordering :premises (@p286) :args ((or @t245 @t244 @t250 (not @t251)))) % 31.05/31.23 (assume-push @p653 @t104) % 31.05/31.23 (step @p289 :rule instantiate :premises (@p653) :args (@t252)) % 31.05/31.23 (step-pop @p654 :rule scope :premises (@p289)) % 31.05/31.23 (step @p290 :rule process_scope :premises (@p654) :args ((not @t250))) % 31.05/31.23 (step @p292 :rule implies_elim :premises (@p290)) % 31.05/31.23 (step @p293 :rule bool-double-not-elim :args (@t104)) % 31.05/31.23 (step @p294 :rule refl :args (@t106)) % 31.05/31.23 (step @p295 :rule nary_cong :premises (@p294 @p293) :args ((or @t106 (not @t105)))) % 31.05/31.23 (step @p296 :rule cnf_or_neg :args (@t106 1)) % 31.05/31.23 (step @p297 :rule eq_resolve :premises (@p296 @p295)) % 31.05/31.23 (step @p298 :rule reordering :premises (@p297) :args ((or @t104 @t106))) % 31.05/31.23 (step @p299 :rule bool-double-not-elim :args (@t102)) % 31.05/31.23 (step @p300 :rule refl :args (@t253)) % 31.05/31.23 (step @p301 :rule refl :args (@t107)) % 31.05/31.23 (step @p302 :rule nary_cong :premises (@p301 @p300 @p299) :args ((or @t107 @t253 (not @t103)))) % 31.05/31.23 (step @p303 :rule cnf_and_neg :args (@t107)) % 31.05/31.23 (step @p304 :rule eq_resolve :premises (@p303 @p302)) % 31.05/31.23 (step @p305 :rule reordering :premises (@p304) :args ((or @t102 @t107 @t253))) % 31.05/31.23 (assume-push @p655 @t102) % 31.05/31.23 (step @p307 :rule instantiate :premises (@p655) :args (@t252)) % 31.05/31.23 (step-pop @p656 :rule scope :premises (@p307)) % 31.05/31.23 (step @p308 :rule process_scope :premises (@p656) :args (@t244)) % 31.05/31.23 (step @p310 :rule implies_elim :premises (@p308)) % 31.05/31.23 (step @p311 :rule chain_m_resolution :premises (@p310 @p305 @p298 @p292 @p287 @p285 @p284 @p283 @p282 @p280 @p279 @p270 @p265 @p264 @p258 @p28 @p19) :args (@t98 (@list false false true false false true true true true true true true false false true true) (@list @t102 @t106 @t104 @t250 @t251 @t244 @t245 @t246 @t247 @t248 @t241 @t107 @t109 @t115 @t111 @t99))) % 31.05/31.23 (step @p312 :rule cnf_and_pos :args (@t99 1)) % 31.05/31.23 (step @p313 :rule reordering :premises (@p312) :args ((or @t87 @t100))) % 31.05/31.23 (step @p314 :rule refl :args (@t261)) % 31.05/31.23 (step @p315 :rule bool-double-not-elim :args (@t87)) % 31.05/31.23 (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or (not @t262) @t261))) % 31.05/31.23 (assume-push @p657 @t262) % 31.05/31.23 (step @p318 :rule skolemize :premises (@p657)) % 31.05/31.23 (step-pop @p658 :rule scope :premises (@p318)) % 31.05/31.23 (step @p319 :rule process_scope :premises (@p658) :args (@t261)) % 31.05/31.23 (step @p321 :rule implies_elim :premises (@p319)) % 31.05/31.23 (step @p322 :rule eq_resolve :premises (@p321 @p316)) % 31.05/31.23 (step @p323 :rule bool-double-not-elim :args (@t258)) % 31.05/31.23 (step @p324 :rule refl :args (@t260)) % 31.05/31.23 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or @t260 (not @t259)))) % 31.05/31.23 (step @p326 :rule cnf_or_neg :args (@t260 0)) % 31.05/31.23 (step @p327 :rule eq_resolve :premises (@p326 @p325)) % 31.05/31.23 (step @p328 :rule reordering :premises (@p327) :args ((or @t258 @t260))) % 31.05/31.23 (step @p329 :rule bool-double-not-elim :args (@t255)) % 31.05/31.23 (step @p330 :rule nary_cong :premises (@p324 @p329) :args ((or @t260 (not @t256)))) % 31.05/31.23 (step @p331 :rule cnf_or_neg :args (@t260 2)) % 31.05/31.23 (step @p332 :rule eq_resolve :premises (@p331 @p330)) % 31.05/31.23 (step @p333 :rule reordering :premises (@p332) :args ((or @t255 @t260))) % 31.05/31.23 (assume-push @p659 @t115) % 31.05/31.23 (step @p335 :rule instantiate :premises (@p659) :args ((@list @t254 @t257))) % 31.05/31.23 (step-pop @p660 :rule scope :premises (@p335)) % 31.05/31.23 (step @p336 :rule process_scope :premises (@p660) :args (@t266)) % 31.05/31.23 (step @p338 :rule implies_elim :premises (@p336)) % 31.05/31.23 (step @p339 :rule refl :args (@t271)) % 31.05/31.23 (step @p340 :rule bool-double-not-elim :args (@t265)) % 31.05/31.23 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or (not @t266) @t271))) % 31.05/31.23 (assume-push @p661 @t266) % 31.05/31.23 (step @p343 :rule skolemize :premises (@p661)) % 31.05/31.23 (step-pop @p662 :rule scope :premises (@p343)) % 31.05/31.23 (step @p344 :rule process_scope :premises (@p662) :args (@t271)) % 31.05/31.23 (step @p346 :rule implies_elim :premises (@p344)) % 31.05/31.23 (step @p347 :rule eq_resolve :premises (@p346 @p341)) % 31.05/31.23 (step @p348 :rule cnf_or_neg :args (@t270 1)) % 31.05/31.23 (step @p349 :rule cnf_and_neg :args (@t269)) % 31.05/31.23 (step @p350 :rule reordering :premises (@p349) :args ((or @t259 @t269 (not @t268)))) % 31.05/31.23 (assume-push @p663 @t255) % 31.05/31.23 (step @p352 :rule instantiate :premises (@p663) :args ((@list @t267))) % 31.05/31.23 (step-pop @p664 :rule scope :premises (@p352)) % 31.05/31.23 (step @p353 :rule process_scope :premises (@p664) :args (@t268)) % 31.05/31.23 (step @p355 :rule implies_elim :premises (@p353)) % 31.05/31.23 (step @p356 :rule chain_m_resolution :premises (@p355 @p350 @p348 @p347 @p338 @p333 @p328 @p258 @p322 @p313) :args (@t87 (@list true true true true false false false true true) (@list @t268 @t269 @t270 @t265 @t255 @t258 @t115 @t260 @t99))) % 31.05/31.23 (assume-push @p665 @t98) % 31.05/31.23 (step @p358 :rule instantiate :premises (@p665) :args ((@list @t272 @t274 @t75))) % 31.05/31.23 (step-pop @p666 :rule scope :premises (@p358)) % 31.05/31.23 (step @p359 :rule process_scope :premises (@p666) :args (@t283)) % 31.05/31.23 (step @p361 :rule implies_elim :premises (@p359)) % 31.05/31.23 (assume-push @p667 @t98) % 31.05/31.23 (step @p363 :rule instantiate :premises (@p667) :args ((@list @t272 @t285 @t284))) % 31.05/31.23 (step-pop @p668 :rule scope :premises (@p363)) % 31.05/31.23 (step @p364 :rule process_scope :premises (@p668) :args (@t292)) % 31.05/31.23 (step @p366 :rule implies_elim :premises (@p364)) % 31.05/31.23 (assume-push @p669 @t98) % 31.05/31.23 (step @p368 :rule instantiate :premises (@p669) :args ((@list @t272 @t285 @t272))) % 31.05/31.23 (step-pop @p670 :rule scope :premises (@p368)) % 31.05/31.23 (step @p369 :rule process_scope :premises (@p670) :args (@t294)) % 31.05/31.23 (step @p371 :rule implies_elim :premises (@p369)) % 31.05/31.23 (assume-push @p671 @t98) % 31.05/31.23 (step @p373 :rule instantiate :premises (@p671) :args ((@list @t75 @t299 @t296))) % 31.05/31.23 (step-pop @p672 :rule scope :premises (@p373)) % 31.05/31.23 (step @p374 :rule process_scope :premises (@p672) :args (@t307)) % 31.05/31.23 (step @p376 :rule implies_elim :premises (@p374)) % 31.05/31.23 (assume-push @p673 @t98) % 31.05/31.23 (step @p378 :rule instantiate :premises (@p673) :args ((@list @t75 @t299 @t75))) % 31.05/31.23 (step-pop @p674 :rule scope :premises (@p378)) % 31.05/31.23 (step @p379 :rule process_scope :premises (@p674) :args (@t309)) % 31.05/31.23 (step @p381 :rule implies_elim :premises (@p379)) % 31.05/31.23 (assume-push @p675 @t76) % 31.05/31.23 (step @p383 :rule instantiate :premises (@p675) :args (@t310)) % 31.05/31.23 (step-pop @p676 :rule scope :premises (@p383)) % 31.05/31.23 (step @p384 :rule process_scope :premises (@p676) :args ((not @t311))) % 31.05/31.23 (step @p386 :rule implies_elim :premises (@p384)) % 31.05/31.23 (step @p387 :rule cnf_or_pos :args (@t309)) % 31.05/31.23 (step @p388 :rule reordering :premises (@p387) :args ((or @t308 @t306 @t312))) % 31.05/31.23 (step @p389 :rule cnf_or_pos :args (@t307)) % 31.05/31.23 (step @p390 :rule reordering :premises (@p389) :args ((or @t304 @t306 @t313))) % 31.05/31.23 (step @p391 :rule cnf_and_pos :args (@t308 1)) % 31.05/31.23 (step @p392 :rule reordering :premises (@p391) :args ((or @t300 (not @t308)))) % 31.05/31.23 (step @p393 :rule cnf_and_pos :args (@t304 0)) % 31.05/31.23 (step @p394 :rule reordering :premises (@p393) :args ((or @t303 (not @t304)))) % 31.05/31.23 (step @p395 :rule refl :args (@t315)) % 31.05/31.23 (step @p396 :rule bool-double-not-elim :args (@t295)) % 31.05/31.23 (step @p397 :rule nary_cong :premises (@p396 @p395) :args ((or (not @t300) @t315))) % 31.05/31.23 (assume-push @p677 @t300) % 31.05/31.23 (step @p399 :rule skolemize :premises (@p677)) % 31.05/31.23 (step-pop @p678 :rule scope :premises (@p399)) % 31.05/31.23 (step @p400 :rule process_scope :premises (@p678) :args (@t315)) % 31.05/31.23 (step @p402 :rule implies_elim :premises (@p400)) % 31.05/31.23 (step @p403 :rule eq_resolve :premises (@p402 @p397)) % 31.05/31.23 (step @p404 :rule cnf_or_pos :args (@t303)) % 31.05/31.23 (step @p405 :rule reordering :premises (@p404) :args ((or @t77 @t302 (not @t303)))) % 31.05/31.23 (step @p406 :rule instantiate :premises (@p9) :args ((@list @t75 @t296))) % 31.05/31.23 (step @p407 :rule cnf_or_pos :args (@t316)) % 31.05/31.23 (step @p408 :rule reordering :premises (@p407) :args ((or @t314 @t311 @t301 (not @t316)))) % 31.05/31.23 (step @p409 :rule chain_m_resolution :premises (@p408 @p406 @p405 @p403 @p394 @p392 @p390 @p388 @p386) :args ((or @t77 @t306 @t312 @t313) @t317 (@list @t316 @t301 @t314 @t303 @t295 @t304 @t308 @t311))) % 31.05/31.23 (step @p410 :rule refl :args (@t305)) % 31.05/31.23 (step @p411 :rule bool-double-not-elim :args (@t298)) % 31.05/31.23 (step @p412 :rule nary_cong :premises (@p411 @p410) :args ((or (not @t318) @t305))) % 31.05/31.23 (step @p413 :rule bool-double-not-elim :args (@t305)) % 31.05/31.23 (step @p414 :rule refl :args (@t318)) % 31.05/31.23 (step @p415 :rule cong :premises (@p414 @p413) :args ((=> @t318 @t319))) % 31.05/31.23 (assume-push @p679 @t318) % 31.05/31.23 (step @p417 :rule skolemize :premises (@p679)) % 31.05/31.23 (step-pop @p680 :rule scope :premises (@p417)) % 31.05/31.23 (step @p418 :rule process_scope :premises (@p680) :args (@t319)) % 31.05/31.23 (step @p420 :rule eq_resolve :premises (@p418 @p415)) % 31.05/31.23 (step @p421 :rule implies_elim :premises (@p420)) % 31.05/31.23 (step @p422 :rule eq_resolve :premises (@p421 @p412)) % 31.05/31.23 (assume-push @p681 @t298) % 31.05/31.23 (step @p424 :rule instantiate :premises (@p681) :args ((@list @t78))) % 31.05/31.23 (step-pop @p682 :rule scope :premises (@p424)) % 31.05/31.23 (step @p425 :rule process_scope :premises (@p682) :args ((not @t320))) % 31.05/31.23 (step @p427 :rule implies_elim :premises (@p425)) % 31.05/31.23 (assume-push @p683 @t63) % 31.05/31.23 (step @p429 :rule instantiate :premises (@p5) :args (@t321)) % 31.05/31.23 (step-pop @p684 :rule scope :premises (@p429)) % 31.05/31.23 (step @p430 :rule process_scope :premises (@p684) :args (@t323)) % 31.05/31.23 (step @p432 :rule implies_elim :premises (@p430)) % 31.05/31.23 (step @p433 :rule cnf_or_pos :args (@t323)) % 31.05/31.23 (step @p434 :rule reordering :premises (@p433) :args ((or @t79 @t320 @t322 (not @t323)))) % 31.05/31.23 (step @p435 :rule alpha_equiv :args (@t76 @t147 @t178)) % 31.05/31.23 (step @p436 :rule equiv_elim1 :premises (@p435)) % 31.05/31.23 (assume-push @p685 @t298) % 31.05/31.23 (step @p438 :rule instantiate :premises (@p685) :args ((@list @t327))) % 31.05/31.23 (step-pop @p686 :rule scope :premises (@p438)) % 31.05/31.23 (step @p439 :rule process_scope :premises (@p686) :args ((not @t328))) % 31.05/31.23 (step @p441 :rule implies_elim :premises (@p439)) % 31.05/31.23 (step @p442 :rule cnf_and_pos :args (@t329 0)) % 31.05/31.23 (step @p443 :rule reordering :premises (@p442) :args ((or @t328 (not @t329)))) % 31.05/31.23 (assume-push @p687 @t87) % 31.05/31.23 (step @p445 :rule instantiate :premises (@p687) :args (@t321)) % 31.05/31.23 (step-pop @p688 :rule scope :premises (@p445)) % 31.05/31.23 (step @p446 :rule process_scope :premises (@p688) :args (@t331)) % 31.05/31.23 (step @p448 :rule implies_elim :premises (@p446)) % 31.05/31.23 (assume-push @p689 @t87) % 31.05/31.23 (step @p450 :rule instantiate :premises (@p689) :args ((@list @t272 @t285))) % 31.05/31.23 (step-pop @p690 :rule scope :premises (@p450)) % 31.05/31.23 (step @p451 :rule process_scope :premises (@p690) :args (@t335)) % 31.05/31.23 (step @p453 :rule implies_elim :premises (@p451)) % 31.05/31.23 (step @p454 :rule cnf_or_pos :args (@t331)) % 31.05/31.23 (step @p455 :rule reordering :premises (@p454) :args ((or @t300 @t318 @t330 (not @t331)))) % 31.05/31.23 (step @p456 :rule cnf_and_pos :args (@t337 1)) % 31.05/31.23 (step @p457 :rule reordering :premises (@p456) :args ((or @t314 (not @t337)))) % 31.05/31.23 (step @p458 :rule cnf_or_pos :args (@t338)) % 31.05/31.23 (step @p459 :rule reordering :premises (@p458) :args ((or @t77 @t318 @t302 @t330 (not @t338)))) % 31.05/31.23 (step @p460 :rule cnf_or_pos :args (@t339)) % 31.05/31.23 (step @p461 :rule reordering :premises (@p460) :args ((or @t329 @t337 (not @t339)))) % 31.05/31.23 (assume-push @p691 @t140) % 31.05/31.23 (step @p463 :rule instantiate :premises (@p691) :args ((@list @t75 @t78 @t296))) % 31.05/31.23 (step-pop @p692 :rule scope :premises (@p463)) % 31.05/31.23 (step @p464 :rule process_scope :premises (@p692) :args (@t338)) % 31.05/31.23 (step @p466 :rule implies_elim :premises (@p464)) % 31.05/31.23 (assume-push @p693 @t340) % 31.05/31.23 (step @p468 :rule instantiate :premises (@p693) :args (@t310)) % 31.05/31.23 (step-pop @p694 :rule scope :premises (@p468)) % 31.05/31.23 (step @p469 :rule process_scope :premises (@p694) :args (@t339)) % 31.05/31.23 (step @p471 :rule implies_elim :premises (@p469)) % 31.05/31.23 (step @p472 :rule refl :args (@t340)) % 31.05/31.23 (step @p473 :rule bool-double-not-elim :args (@t326)) % 31.05/31.23 (step @p474 :rule nary_cong :premises (@p473 @p472) :args ((or (not @t341) @t340))) % 31.05/31.23 (step @p475 :rule bool-double-not-elim :args (@t340)) % 31.05/31.23 (step @p476 :rule refl :args (@t341)) % 31.05/31.23 (step @p477 :rule cong :premises (@p476 @p475) :args ((=> @t341 @t342))) % 31.05/31.23 (assume-push @p695 @t341) % 31.05/31.23 (step @p479 :rule skolemize :premises (@p695)) % 31.05/31.23 (step-pop @p696 :rule scope :premises (@p479)) % 31.05/31.23 (step @p480 :rule process_scope :premises (@p696) :args (@t342)) % 31.05/31.23 (step @p482 :rule eq_resolve :premises (@p480 @p477)) % 31.05/31.23 (step @p483 :rule implies_elim :premises (@p482)) % 31.05/31.23 (step @p484 :rule eq_resolve :premises (@p483 @p474)) % 31.05/31.23 (step @p485 :rule cnf_or_pos :args (@t345)) % 31.05/31.23 (step @p486 :rule reordering :premises (@p485) :args ((or @t79 @t302 @t330 @t344 @t341 (not @t345)))) % 31.05/31.23 (assume-push @p697 @t131) % 31.05/31.23 (step @p488 :rule instantiate :premises (@p697) :args ((@list @t75 @t296 @t78))) % 31.05/31.23 (step-pop @p698 :rule scope :premises (@p488)) % 31.05/31.23 (step @p489 :rule process_scope :premises (@p698) :args (@t345)) % 31.05/31.23 (step @p491 :rule implies_elim :premises (@p489)) % 31.05/31.23 (step @p492 :rule refl :args (@t262)) % 31.05/31.23 (step @p493 :rule refl :args (@t113)) % 31.05/31.23 (step @p494 :rule refl :args (@t116)) % 31.05/31.23 (step @p495 :rule bool-double-not-elim :args (@t131)) % 31.05/31.23 (step @p496 :rule bool-double-not-elim :args (@t140)) % 31.05/31.23 (step @p497 :rule nary_cong :premises (@p496 @p495 @p494 @p493 @p492) :args ((or (not @t141) (not @t132) @t116 @t113 @t262))) % 31.05/31.23 (step @p498 :rule not_or_elim :premises (@p255) :args (2)) % 31.05/31.23 (step @p499 :rule not_and :premises (@p498)) % 31.05/31.23 (step @p500 :rule eq_resolve :premises (@p499 @p497)) % 31.05/31.23 (step @p501 :rule reordering :premises (@p500) :args ((or @t116 @t140 @t131 @t113 @t262))) % 31.05/31.23 (step @p502 :rule refl :args (@t347)) % 31.05/31.23 (step @p503 :rule nary_cong :premises (@p29 @p502) :args ((or @t117 @t347))) % 31.05/31.23 (step @p504 :rule bool-double-not-elim :args (@t347)) % 31.05/31.23 (step @p505 :rule cong :premises (@p494 @p504) :args ((=> @t116 @t348))) % 31.05/31.23 (assume-push @p699 @t116) % 31.05/31.23 (step @p507 :rule skolemize :premises (@p699)) % 31.05/31.23 (step-pop @p700 :rule scope :premises (@p507)) % 31.05/31.23 (step @p508 :rule process_scope :premises (@p700) :args (@t348)) % 31.05/31.23 (step @p510 :rule eq_resolve :premises (@p508 @p505)) % 31.05/31.23 (step @p511 :rule implies_elim :premises (@p510)) % 31.05/31.23 (step @p512 :rule eq_resolve :premises (@p511 @p503)) % 31.05/31.23 (assume-push @p701 @t347) % 31.05/31.23 (step @p514 :rule instantiate :premises (@p701) :args ((@list @t75))) % 31.05/31.23 (step-pop @p702 :rule scope :premises (@p514)) % 31.05/31.23 (step @p515 :rule process_scope :premises (@p702) :args (@t352)) % 31.05/31.23 (step @p517 :rule implies_elim :premises (@p515)) % 31.05/31.23 (assume-push @p703 @t347) % 31.05/31.23 (step @p519 :rule instantiate :premises (@p703) :args ((@list @t353))) % 31.05/31.23 (step-pop @p704 :rule scope :premises (@p519)) % 31.05/31.23 (step @p520 :rule process_scope :premises (@p704) :args (@t359)) % 31.05/31.23 (step @p522 :rule implies_elim :premises (@p520)) % 31.05/31.23 (assume-push @p705 @t347) % 31.05/31.23 (step @p524 :rule instantiate :premises (@p705) :args (@t360)) % 31.05/31.23 (step-pop @p706 :rule scope :premises (@p524)) % 31.05/31.23 (step @p525 :rule process_scope :premises (@p706) :args (@t364)) % 31.05/31.23 (step @p527 :rule implies_elim :premises (@p525)) % 31.05/31.23 (step @p528 :rule cnf_and_pos :args (@t368 0)) % 31.05/31.23 (step @p529 :rule reordering :premises (@p528) :args ((or @t367 @t369))) % 31.05/31.23 (step @p530 :rule cnf_and_pos :args (@t368 1)) % 31.05/31.23 (step @p531 :rule reordering :premises (@p530) :args ((or @t366 @t369))) % 31.05/31.23 (step @p532 :rule cnf_and_pos :args (@t371 1)) % 31.05/31.23 (step @p533 :rule reordering :premises (@p532) :args ((or @t370 (not @t371)))) % 31.05/31.23 (step @p534 :rule cnf_and_pos :args (@t372 1)) % 31.05/31.23 (step @p535 :rule reordering :premises (@p534) :args ((or @t365 (not @t372)))) % 31.05/31.23 (step @p536 :rule instantiate :premises (@p8) :args (@t373)) % 31.05/31.23 (step @p537 :rule cnf_equiv_pos1 :args (@t374)) % 31.05/31.23 (step @p538 :rule reordering :premises (@p537) :args ((or (not @t354) @t371 (not @t374)))) % 31.05/31.23 (step @p539 :rule instantiate :premises (@p7) :args (@t373)) % 31.05/31.23 (step @p540 :rule cnf_equiv_pos1 :args (@t375)) % 31.05/31.23 (step @p541 :rule reordering :premises (@p540) :args ((or (not @t356) @t372 (not @t375)))) % 31.05/31.23 (step @p542 :rule cnf_or_pos :args (@t357)) % 31.05/31.23 (step @p543 :rule reordering :premises (@p542) :args ((or @t356 @t354 (not @t357)))) % 31.05/31.23 (step @p544 :rule cnf_and_pos :args (@t355 1)) % 31.05/31.23 (step @p545 :rule reordering :premises (@p544) :args ((or @t354 (not @t355)))) % 31.05/31.23 (step @p546 :rule cnf_and_pos :args (@t358 1)) % 31.05/31.23 (step @p547 :rule reordering :premises (@p546) :args ((or @t357 (not @t358)))) % 31.05/31.23 (step @p548 :rule cnf_or_pos :args (@t359)) % 31.05/31.23 (step @p549 :rule reordering :premises (@p548) :args ((or @t358 @t355 @t376))) % 31.05/31.23 (step @p550 :rule chain_m_resolution :premises (@p549 @p547 @p545 @p543 @p541 @p539 @p538 @p536 @p535 @p533 @p531 @p529) :args ((or @t369 @t376) (@list true true true true false true false true true true false) (@list @t358 @t355 @t357 @t356 @t375 @t354 @t374 @t372 @t371 @t365 @t367))) % 31.05/31.23 (step @p551 :rule instantiate :premises (@p6) :args (@t373)) % 31.05/31.23 (step @p552 :rule cnf_equiv_pos1 :args (@t378)) % 31.05/31.23 (step @p553 :rule reordering :premises (@p552) :args ((or @t379 @t368 (not @t378)))) % 31.05/31.23 (step @p554 :rule refl :args (@t377)) % 31.05/31.23 (step @p555 :rule bool-double-not-elim :args (@t277)) % 31.05/31.23 (step @p556 :rule nary_cong :premises (@p555 @p554) :args ((or (not @t278) @t377))) % 31.05/31.23 (step @p557 :rule bool-double-not-elim :args (@t377)) % 31.05/31.23 (step @p558 :rule refl :args (@t278)) % 31.05/31.23 (step @p559 :rule cong :premises (@p558 @p557) :args ((=> @t278 @t380))) % 31.05/31.23 (assume-push @p707 @t278) % 31.05/31.23 (step @p561 :rule skolemize :premises (@p707)) % 31.05/31.23 (step-pop @p708 :rule scope :premises (@p561)) % 31.05/31.23 (step @p562 :rule process_scope :premises (@p708) :args (@t380)) % 31.05/31.23 (step @p564 :rule eq_resolve :premises (@p562 @p559)) % 31.05/31.23 (step @p565 :rule implies_elim :premises (@p564)) % 31.05/31.23 (step @p566 :rule eq_resolve :premises (@p565 @p556)) % 31.05/31.23 (assume-push @p709 @t277) % 31.05/31.23 (step @p568 :rule instantiate :premises (@p709) :args (@t360)) % 31.05/31.23 (step-pop @p710 :rule scope :premises (@p568)) % 31.05/31.23 (step @p569 :rule process_scope :premises (@p710) :args ((not @t381))) % 31.05/31.23 (step @p571 :rule implies_elim :premises (@p569)) % 31.05/31.23 (step @p572 :rule cnf_or_pos :args (@t294)) % 31.05/31.23 (step @p573 :rule reordering :premises (@p572) :args ((or @t291 @t293 @t382))) % 31.05/31.23 (step @p574 :rule cnf_or_pos :args (@t292)) % 31.05/31.23 (step @p575 :rule reordering :premises (@p574) :args ((or @t291 @t289 @t383))) % 31.05/31.23 (step @p576 :rule cnf_and_pos :args (@t293 1)) % 31.05/31.23 (step @p577 :rule reordering :premises (@p576) :args ((or @t276 (not @t293)))) % 31.05/31.23 (step @p578 :rule cnf_and_pos :args (@t289 0)) % 31.05/31.23 (step @p579 :rule reordering :premises (@p578) :args ((or @t288 (not @t289)))) % 31.05/31.23 (step @p580 :rule refl :args (@t384)) % 31.05/31.23 (step @p581 :rule bool-double-not-elim :args (@t275)) % 31.05/31.23 (step @p582 :rule nary_cong :premises (@p581 @p580) :args ((or (not @t276) @t384))) % 31.05/31.23 (assume-push @p711 @t276) % 31.05/31.23 (step @p584 :rule skolemize :premises (@p711)) % 31.05/31.23 (step-pop @p712 :rule scope :premises (@p584)) % 31.05/31.23 (step @p585 :rule process_scope :premises (@p712) :args (@t384)) % 31.05/31.23 (step @p587 :rule implies_elim :premises (@p585)) % 31.05/31.23 (step @p588 :rule eq_resolve :premises (@p587 @p582)) % 31.05/31.23 (step @p589 :rule cnf_or_pos :args (@t288)) % 31.05/31.23 (step @p590 :rule reordering :premises (@p589) :args ((or @t278 @t287 (not @t288)))) % 31.05/31.23 (step @p591 :rule instantiate :premises (@p9) :args ((@list @t272 @t284))) % 31.05/31.23 (step @p592 :rule cnf_or_pos :args (@t385)) % 31.05/31.23 (step @p593 :rule reordering :premises (@p592) :args ((or @t361 @t381 @t286 (not @t385)))) % 31.05/31.23 (step @p594 :rule chain_m_resolution :premises (@p593 @p591 @p590 @p588 @p579 @p577 @p575 @p573 @p571) :args ((or @t291 @t278 @t382 @t383) @t317 (@list @t385 @t286 @t361 @t288 @t275 @t289 @t293 @t381))) % 31.05/31.23 (step @p595 :rule cnf_and_pos :args (@t351 0)) % 31.05/31.23 (step @p596 :rule reordering :premises (@p595) :args ((or @t290 (not @t351)))) % 31.05/31.23 (step @p597 :rule cnf_and_pos :args (@t363 0)) % 31.05/31.23 (step @p598 :rule reordering :premises (@p597) :args ((or @t290 (not @t363)))) % 31.05/31.23 (step @p599 :rule cnf_or_pos :args (@t352)) % 31.05/31.23 (step @p600 :rule reordering :premises (@p599) :args ((or @t351 @t350 (not @t352)))) % 31.05/31.23 (step @p601 :rule cnf_or_pos :args (@t364)) % 31.05/31.23 (step @p602 :rule reordering :premises (@p601) :args ((or @t363 @t362 (not @t364)))) % 31.05/31.23 (step @p603 :rule cnf_and_pos :args (@t350 0)) % 31.05/31.23 (step @p604 :rule reordering :premises (@p603) :args ((or @t333 (not @t350)))) % 31.05/31.23 (step @p605 :rule cnf_and_pos :args (@t362 1)) % 31.05/31.23 (step @p606 :rule reordering :premises (@p605) :args ((or @t361 (not @t362)))) % 31.05/31.23 (step @p607 :rule cnf_and_pos :args (@t280 1)) % 31.05/31.23 (step @p608 :rule reordering :premises (@p607) :args ((or @t276 (not @t280)))) % 31.05/31.23 (step @p609 :rule cnf_or_pos :args (@t335)) % 31.05/31.23 (step @p610 :rule reordering :premises (@p609) :args ((or @t334 @t276 @t332 (not @t335)))) % 31.05/31.23 (step @p611 :rule cnf_or_pos :args (@t283)) % 31.05/31.23 (step @p612 :rule reordering :premises (@p611) :args ((or @t280 @t282 (not @t283)))) % 31.05/31.23 (step @p613 :rule refl :args (@t281)) % 31.05/31.23 (step @p614 :rule bool-double-not-elim :args (@t273)) % 31.05/31.23 (step @p615 :rule nary_cong :premises (@p614 @p613) :args ((or (not @t332) @t281))) % 31.05/31.23 (step @p616 :rule bool-double-not-elim :args (@t281)) % 31.05/31.23 (step @p617 :rule refl :args (@t332)) % 31.05/31.24 (step @p618 :rule cong :premises (@p617 @p616) :args ((=> @t332 @t386))) % 31.05/31.24 (assume-push @p713 @t332) % 31.05/31.24 (step @p620 :rule skolemize :premises (@p713)) % 31.05/31.24 (step-pop @p714 :rule scope :premises (@p620)) % 31.05/31.24 (step @p621 :rule process_scope :premises (@p714) :args (@t386)) % 31.05/31.24 (step @p623 :rule eq_resolve :premises (@p621 @p618)) % 31.05/31.24 (step @p624 :rule implies_elim :premises (@p623)) % 31.05/31.24 (step @p625 :rule eq_resolve :premises (@p624 @p615)) % 31.05/31.24 (step @p626 :rule chain_m_resolution :premises (@p625 @p612 @p610 @p608 @p588 @p606 @p604 @p602 @p600 @p598 @p596 @p594 @p566 @p553 @p551 @p550 @p527 @p522 @p517 @p512 @p501 @p491 @p486 @p484 @p471 @p466 @p461 @p459 @p457 @p408 @p406 @p403 @p455 @p453 @p448 @p386 @p443 @p441 @p436 @p434 @p432 @p5 @p427 @p422 @p409 @p381 @p376 @p371 @p366 @p361) :args ((or @t113 @t262 @t79 @t77) (@list true true true false false false false false true true true false true false true false false false false true true true false true true true true true false false true true false false true true true false false false false true false true false false false false false) (@list @t281 @t273 @t280 @t275 @t361 @t333 @t362 @t350 @t363 @t351 @t290 @t277 @t377 @t378 @t368 @t364 @t359 @t352 @t347 @t115 @t131 @t345 @t326 @t340 @t140 @t339 @t338 @t337 @t301 @t316 @t314 @t295 @t335 @t331 @t311 @t329 @t328 @t343 @t322 @t323 @t63 @t320 @t298 @t305 @t309 @t307 @t294 @t292 @t283))) % 31.05/31.24 (step @p627 :rule chain_m_resolution :premises (@p626 @p356 @p311 @p17 @p11) :args (@t80 (@list false false false true) (@list @t87 @t98 @t76 @t79))) % 31.05/31.24 (step @p628 :rule refl :args (@t387)) % 31.05/31.24 (step @p629 :rule bool-double-not-elim :args (@t74)) % 31.05/31.24 (step @p630 :rule nary_cong :premises (@p629 @p628) :args ((or (not @t388) @t387))) % 31.05/31.24 (assume-push @p715 @t388) % 31.05/31.24 (step @p632 :rule skolemize :premises (@p715)) % 31.05/31.24 (step-pop @p716 :rule scope :premises (@p632)) % 31.05/31.24 (step @p633 :rule process_scope :premises (@p716) :args (@t387)) % 31.05/31.24 (step @p635 :rule implies_elim :premises (@p633)) % 31.05/31.24 (step @p636 :rule eq_resolve :premises (@p635 @p630)) % 31.05/31.24 (step @p637 :rule chain_m_resolution :premises (@p636 @p627) :args (@t74 @t389 (@list @t80))) % 31.05/31.24 (step @p638 :rule alpha_equiv :args ((forall (@list @t391 @t392) (or (tptp.g_false_only @t391 @t392) (not (forall (@list @t390) (not (tptp.h_true_only @t391 @t390)))))) @t393 (@list @t123 @t2 @t4))) % 31.05/31.24 (step @p639 :rule alpha_equiv :args (@t74 (@list @t4 @t2 @t71) @t393)) % 31.05/31.24 (step @p640 :rule trans :premises (@p639 @p638)) % 31.05/31.24 (step @p641 :rule equiv_elim1 :premises (@p640)) % 31.05/31.24 (step @p642 :rule reordering :premises (@p641) :args ((or @t394 @t388))) % 31.05/31.24 (step @p643 :rule chain_m_resolution :premises (@p642 @p637) :args (@t394 @t389 (@list @t74))) % 31.05/31.24 (step @p644 :rule not_or_elim :premises (@p255) :args (0)) % 31.05/31.24 (step @p645 :rule not_and :premises (@p644)) % 31.05/31.24 (step @p646 false :rule chain_m_resolution :premises (@p645 @p643 @p637) :args (false (@list false false) (@list @t394 @t74))) % 31.05/31.24 ) % 31.05/31.24 % SZS output end Proof % 31.05/31.24 % cvc5 exiting %------------------------------------------------------------------------------