%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO604+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 : n007.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 15.91s 16.13s % Output : Proof 15.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO604+1 : TPTP v9.2.1. Released v7.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 00:27:41 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.91/16.13 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.91/16.13 --- Run --no-e-matching --full-saturate-quant at 6... % 15.91/16.13 % SZS status Theorem % 15.91/16.13 % SZS output start Proof % 15.91/16.13 ( % 15.91/16.13 (declare-sort $$unsorted 0) % 15.91/16.13 (declare-const tptp.g_true (-> $$unsorted $$unsorted Bool)) % 15.91/16.13 (declare-const tptp.g_false (-> $$unsorted $$unsorted Bool)) % 15.91/16.13 (declare-const tptp.g_both (-> $$unsorted $$unsorted Bool)) % 15.91/16.13 (declare-const tptp.g_false_only (-> $$unsorted $$unsorted Bool)) % 15.91/16.13 (declare-const tptp.g_true_only (-> $$unsorted $$unsorted Bool)) % 15.91/16.13 (define @t1 () (@var "B" $$unsorted)) % 15.91/16.13 (define @t2 () (@var "C" $$unsorted)) % 15.91/16.13 (define @t3 () (tptp.g_true_only @t2 @t1)) % 15.91/16.13 (define @t4 () (tptp.g_true_only @t1 @t2)) % 15.91/16.13 (define @t5 () (and @t4 @t3)) % 15.91/16.13 (define @t6 () (@list @t2)) % 15.91/16.13 (define @t7 () (exists @t6 @t5)) % 15.91/16.13 (define @t8 () (@var "A" $$unsorted)) % 15.91/16.13 (define @t9 () (tptp.g_false_only @t1 @t8)) % 15.91/16.13 (define @t10 () (and @t9 @t7)) % 15.91/16.13 (define @t11 () (tptp.g_false_only @t2 @t1)) % 15.91/16.13 (define @t12 () (tptp.g_false_only @t1 @t2)) % 15.91/16.13 (define @t13 () (forall @t6 (or @t12 @t11))) % 15.91/16.13 (define @t14 () (tptp.g_true_only @t1 @t8)) % 15.91/16.13 (define @t15 () (and @t14 @t13)) % 15.91/16.13 (define @t16 () (or @t15 @t10)) % 15.91/16.13 (define @t17 () (@list @t1)) % 15.91/16.13 (define @t18 () (forall @t17 @t16)) % 15.91/16.13 (define @t19 () (@list @t8)) % 15.91/16.13 (define @t20 () (exists @t19 @t18)) % 15.91/16.13 (define @t21 () (not @t20)) % 15.91/16.13 (define @t22 () (not @t7)) % 15.91/16.13 (define @t23 () (not @t11)) % 15.91/16.13 (define @t24 () (not @t12)) % 15.91/16.13 (define @t25 () (tptp.g_both @t2 @t1)) % 15.91/16.13 (define @t26 () (tptp.g_both @t1 @t2)) % 15.91/16.13 (define @t27 () (or @t26 @t25)) % 15.91/16.13 (define @t28 () (and @t27 @t24 @t23)) % 15.91/16.13 (define @t29 () (exists @t6 @t28)) % 15.91/16.13 (define @t30 () (and @t29 @t22)) % 15.91/16.13 (define @t31 () (or @t13 @t30)) % 15.91/16.13 (define @t32 () (and @t9 @t31)) % 15.91/16.13 (define @t33 () (or @t13 @t7)) % 15.91/16.13 (define @t34 () (tptp.g_both @t1 @t8)) % 15.91/16.13 (define @t35 () (and @t34 @t33)) % 15.91/16.13 (define @t36 () (or @t30 @t7)) % 15.91/16.13 (define @t37 () (and @t14 @t36)) % 15.91/16.13 (define @t38 () (or @t37 @t35 @t32)) % 15.91/16.13 (define @t39 () (exists @t17 @t38)) % 15.91/16.13 (define @t40 () (not @t39)) % 15.91/16.13 (define @t41 () (and @t34 @t29 @t22)) % 15.91/16.13 (define @t42 () (exists @t17 @t41)) % 15.91/16.13 (define @t43 () (and @t42 @t40)) % 15.91/16.14 (define @t44 () (exists @t19 @t43)) % 15.91/16.14 (define @t45 () (and @t44 @t21)) % 15.91/16.14 (define @t46 () (forall @t19 @t39)) % 15.91/16.14 (define @t47 () (or @t46 @t45)) % 15.91/16.14 (define @t48 () (not @t47)) % 15.91/16.14 (define @t49 () (@var "X_1" $$unsorted)) % 15.91/16.14 (define @t50 () (@var "X_2" $$unsorted)) % 15.91/16.14 (define @t51 () (tptp.g_false @t50 @t49)) % 15.91/16.14 (define @t52 () (tptp.g_true @t50 @t49)) % 15.91/16.14 (define @t53 () (tptp.g_true_only @t50 @t49)) % 15.91/16.14 (define @t54 () (@list @t50 @t49)) % 15.91/16.14 (define @t55 () (tptp.g_both @t50 @t49)) % 15.91/16.14 (define @t56 () (tptp.g_false_only @t50 @t49)) % 15.91/16.14 (define @t57 () (@var "BOUND_VARIABLE_7578" $$unsorted)) % 15.91/16.14 (define @t58 () (@var "BOUND_VARIABLE_7644" $$unsorted)) % 15.91/16.14 (define @t59 () (tptp.g_false_only @t58 @t57)) % 15.91/16.14 (define @t60 () (tptp.g_false_only @t57 @t58)) % 15.91/16.14 (define @t61 () (and (not (tptp.g_both @t57 @t58)) (not (tptp.g_both @t58 @t57)))) % 15.91/16.14 (define @t62 () (not (forall @t6 (or (not (tptp.g_true_only @t57 @t2)) (not (tptp.g_true_only @t2 @t57)))))) % 15.91/16.14 (define @t63 () (or @t62 @t61 @t60 @t59)) % 15.91/16.14 (define @t64 () (tptp.g_false_only @t2 @t57)) % 15.91/16.14 (define @t65 () (tptp.g_false_only @t57 @t2)) % 15.91/16.14 (define @t66 () (not (forall @t6 (or @t65 @t64)))) % 15.91/16.14 (define @t67 () (and @t66 @t63)) % 15.91/16.14 (define @t68 () (not (tptp.g_false_only @t57 @t8))) % 15.91/16.14 (define @t69 () (@list @t57 @t58)) % 15.91/16.14 (define @t70 () (forall @t69 (or @t68 @t67))) % 15.91/16.14 (define @t71 () (not @t70)) % 15.91/16.14 (define @t72 () (@var "BOUND_VARIABLE_7559" $$unsorted)) % 15.91/16.14 (define @t73 () (@var "BOUND_VARIABLE_7633" $$unsorted)) % 15.91/16.14 (define @t74 () (or (not (tptp.g_true_only @t72 @t73)) (not (tptp.g_true_only @t73 @t72)))) % 15.91/16.14 (define @t75 () (not (forall @t6 (or (tptp.g_false_only @t72 @t2) (tptp.g_false_only @t2 @t72))))) % 15.91/16.14 (define @t76 () (and @t75 @t74)) % 15.91/16.14 (define @t77 () (not (tptp.g_both @t72 @t8))) % 15.91/16.14 (define @t78 () (or @t77 @t76)) % 15.91/16.14 (define @t79 () (@list @t72 @t73)) % 15.91/16.14 (define @t80 () (forall @t79 @t78)) % 15.91/16.14 (define @t81 () (not @t80)) % 15.91/16.14 (define @t82 () (@var "BOUND_VARIABLE_7534" $$unsorted)) % 15.91/16.14 (define @t83 () (@var "BOUND_VARIABLE_7618" $$unsorted)) % 15.91/16.14 (define @t84 () (or (not (tptp.g_true_only @t82 @t83)) (not (tptp.g_true_only @t83 @t82)))) % 15.91/16.14 (define @t85 () (@var "BOUND_VARIABLE_7607" $$unsorted)) % 15.91/16.14 (define @t86 () (tptp.g_false_only @t85 @t82)) % 15.91/16.14 (define @t87 () (tptp.g_false_only @t82 @t85)) % 15.91/16.14 (define @t88 () (and (not (tptp.g_both @t82 @t85)) (not (tptp.g_both @t85 @t82)))) % 15.91/16.14 (define @t89 () (forall @t6 (or (not (tptp.g_true_only @t82 @t2)) (not (tptp.g_true_only @t2 @t82))))) % 15.91/16.14 (define @t90 () (not @t89)) % 15.91/16.14 (define @t91 () (or @t90 @t88 @t87 @t86)) % 15.91/16.14 (define @t92 () (and @t91 @t84)) % 15.91/16.14 (define @t93 () (not (tptp.g_true_only @t82 @t8))) % 15.91/16.14 (define @t94 () (@list @t82 @t85 @t83)) % 15.91/16.14 (define @t95 () (forall @t94 (or @t93 @t92))) % 15.91/16.14 (define @t96 () (not @t95)) % 15.91/16.14 (define @t97 () (or @t96 @t81 @t71)) % 15.91/16.14 (define @t98 () (@quantifiers_skolemize (forall @t19 @t97) 0)) % 15.91/16.14 (define @t99 () (@list @t98 @t98)) % 15.91/16.14 (define @t100 () (forall @t6 (or (not @t4) (not @t3)))) % 15.91/16.14 (define @t101 () (not @t100)) % 15.91/16.14 (define @t102 () (and @t9 @t101)) % 15.91/16.14 (define @t103 () (@var "BOUND_VARIABLE_7733" $$unsorted)) % 15.91/16.14 (define @t104 () (or (tptp.g_false_only @t1 @t103) (tptp.g_false_only @t103 @t1))) % 15.91/16.14 (define @t105 () (and @t14 @t104)) % 15.91/16.14 (define @t106 () (or @t105 @t102)) % 15.91/16.14 (define @t107 () (@list @t1 @t103)) % 15.91/16.14 (define @t108 () (forall @t107 @t106)) % 15.91/16.14 (define @t109 () (forall @t19 (not @t108))) % 15.91/16.14 (define @t110 () (not @t109)) % 15.91/16.14 (define @t111 () (@list @t103)) % 15.91/16.14 (define @t112 () (forall @t111 @t106)) % 15.91/16.14 (define @t113 () (forall @t111 @t104)) % 15.91/16.14 (define @t114 () (@list @t2)) % 15.91/16.14 (define @t115 () (forall @t111 @t14)) % 15.91/16.14 (define @t116 () (and @t115 @t113)) % 15.91/16.14 (define @t117 () (forall @t111 @t105)) % 15.91/16.14 (define @t118 () (or @t117 @t102)) % 15.91/16.14 (define @t119 () (forall @t6 (not @t5))) % 15.91/16.14 (define @t120 () (not @t119)) % 15.91/16.14 (define @t121 () (@var "BOUND_VARIABLE_7703" $$unsorted)) % 15.91/16.14 (define @t122 () (@var "BOUND_VARIABLE_7705" $$unsorted)) % 15.91/16.14 (define @t123 () (tptp.g_false_only @t122 @t121)) % 15.91/16.14 (define @t124 () (tptp.g_false_only @t121 @t122)) % 15.91/16.14 (define @t125 () (and (not (tptp.g_both @t121 @t122)) (not (tptp.g_both @t122 @t121)))) % 15.91/16.14 (define @t126 () (not (forall @t6 (or (not (tptp.g_true_only @t121 @t2)) (not (tptp.g_true_only @t2 @t121)))))) % 15.91/16.14 (define @t127 () (not (tptp.g_both @t121 @t8))) % 15.91/16.14 (define @t128 () (or @t96 @t81 @t71 @t127 @t126 @t125 @t124 @t123)) % 15.91/16.14 (define @t129 () (or @t127 @t126 @t125 @t124 @t123)) % 15.91/16.14 (define @t130 () (or @t129 @t96 @t81 @t71)) % 15.91/16.14 (define @t131 () (@list @t8 @t121 @t122)) % 15.91/16.14 (define @t132 () (forall @t131 @t130)) % 15.91/16.14 (define @t133 () (@list @t121 @t122)) % 15.91/16.14 (define @t134 () (forall @t133 @t130)) % 15.91/16.14 (define @t135 () (forall @t133 @t129)) % 15.91/16.14 (define @t136 () (@var "BOUND_VARIABLE_7678" $$unsorted)) % 15.91/16.14 (define @t137 () (or @t135 @t96 @t81 @t71)) % 15.91/16.14 (define @t138 () (tptp.g_false_only @t136 @t1)) % 15.91/16.14 (define @t139 () (tptp.g_false_only @t1 @t136)) % 15.91/16.14 (define @t140 () (and (not (tptp.g_both @t1 @t136)) (not (tptp.g_both @t136 @t1)))) % 15.91/16.14 (define @t141 () (not @t34)) % 15.91/16.14 (define @t142 () (or @t141 @t101 @t140 @t139 @t138)) % 15.91/16.14 (define @t143 () (@list @t1 @t136)) % 15.91/16.14 (define @t144 () (forall @t143 @t142)) % 15.91/16.14 (define @t145 () (not @t144)) % 15.91/16.14 (define @t146 () (not @t145)) % 15.91/16.14 (define @t147 () (or @t146 @t96 @t81 @t71)) % 15.91/16.14 (define @t148 () (or @t96 (or @t81 @t71))) % 15.91/16.14 (define @t149 () (and @t95 @t80 @t70)) % 15.91/16.14 (define @t150 () (not @t149)) % 15.91/16.14 (define @t151 () (and @t145 @t95 @t80 @t70)) % 15.91/16.14 (define @t152 () (forall @t19 (not @t151))) % 15.91/16.14 (define @t153 () (not @t152)) % 15.91/16.14 (define @t154 () (or @t61 @t60 @t59)) % 15.91/16.14 (define @t155 () (or @t154 @t62)) % 15.91/16.14 (define @t156 () (and @t66 @t155)) % 15.91/16.14 (define @t157 () (or @t68 @t156)) % 15.91/16.14 (define @t158 () (forall @t69 @t157)) % 15.91/16.14 (define @t159 () (@list @t58)) % 15.91/16.14 (define @t160 () (forall @t159 @t157)) % 15.91/16.14 (define @t161 () (@list @t57)) % 15.91/16.14 (define @t162 () (forall @t159 @t154)) % 15.91/16.14 (define @t163 () (or @t162 @t62)) % 15.91/16.14 (define @t164 () (forall @t159 @t155)) % 15.91/16.14 (define @t165 () (forall @t159 @t66)) % 15.91/16.14 (define @t166 () (and @t165 @t164)) % 15.91/16.14 (define @t167 () (forall @t159 @t156)) % 15.91/16.14 (define @t168 () (or @t68 @t167)) % 15.91/16.14 (define @t169 () (forall @t161 (or @t68 (and @t66 (or (forall @t6 (or (and (not (tptp.g_both @t57 @t2)) (not (tptp.g_both @t2 @t57))) @t65 @t64)) @t62))))) % 15.91/16.14 (define @t170 () (@list @t73)) % 15.91/16.14 (define @t171 () (forall @t170 @t78)) % 15.91/16.14 (define @t172 () (@list @t72)) % 15.91/16.14 (define @t173 () (forall @t170 @t74)) % 15.91/16.14 (define @t174 () (forall @t170 @t75)) % 15.91/16.14 (define @t175 () (and @t174 @t173)) % 15.91/16.14 (define @t176 () (forall @t170 @t76)) % 15.91/16.14 (define @t177 () (or @t77 @t176)) % 15.91/16.14 (define @t178 () (forall @t172 (or @t77 (and @t75 (forall @t6 (or (not (tptp.g_true_only @t72 @t2)) (not (tptp.g_true_only @t2 @t72)))))))) % 15.91/16.14 (define @t179 () (or @t88 @t87 @t86)) % 15.91/16.14 (define @t180 () (or @t179 @t90)) % 15.91/16.14 (define @t181 () (and @t180 @t84)) % 15.91/16.14 (define @t182 () (or @t93 @t181)) % 15.91/16.14 (define @t183 () (forall @t94 @t182)) % 15.91/16.14 (define @t184 () (@list @t85 @t83)) % 15.91/16.14 (define @t185 () (forall @t184 @t182)) % 15.91/16.14 (define @t186 () (@list @t82)) % 15.91/16.14 (define @t187 () (forall (@list @t83) @t84)) % 15.91/16.14 (define @t188 () (forall @t184 @t84)) % 15.91/16.14 (define @t189 () (@list @t85)) % 15.91/16.14 (define @t190 () (forall @t189 @t179)) % 15.91/16.14 (define @t191 () (or @t190 @t90)) % 15.91/16.14 (define @t192 () (forall @t189 @t180)) % 15.91/16.14 (define @t193 () (forall @t184 @t180)) % 15.91/16.14 (define @t194 () (and @t193 @t188)) % 15.91/16.14 (define @t195 () (forall @t184 @t181)) % 15.91/16.14 (define @t196 () (or @t93 @t195)) % 15.91/16.14 (define @t197 () (forall @t186 (or @t93 (and (or (forall @t6 (or (and (not (tptp.g_both @t82 @t2)) (not (tptp.g_both @t2 @t82))) (tptp.g_false_only @t82 @t2) (tptp.g_false_only @t2 @t82))) @t90) @t89)))) % 15.91/16.14 (define @t198 () (forall @t6 (or (and (not @t26) (not @t25)) @t12 @t11))) % 15.91/16.14 (define @t199 () (or @t198 @t101)) % 15.91/16.14 (define @t200 () (not @t13)) % 15.91/16.14 (define @t201 () (not @t9)) % 15.91/16.14 (define @t202 () (or @t201 (and @t200 @t199))) % 15.91/16.14 (define @t203 () (forall @t17 @t202)) % 15.91/16.14 (define @t204 () (@list @t1)) % 15.91/16.14 (define @t205 () (or @t141 (and @t200 @t100))) % 15.91/16.14 (define @t206 () (forall @t17 @t205)) % 15.91/16.14 (define @t207 () (not @t14)) % 15.91/16.14 (define @t208 () (or @t207 (and @t199 @t100))) % 15.91/16.14 (define @t209 () (forall @t17 @t208)) % 15.91/16.14 (define @t210 () (and @t209 @t206 @t203)) % 15.91/16.14 (define @t211 () (not @t198)) % 15.91/16.14 (define @t212 () (not @t211)) % 15.91/16.14 (define @t213 () (or @t212 @t101)) % 15.91/16.14 (define @t214 () (and @t211 @t100)) % 15.91/16.14 (define @t215 () (not @t214)) % 15.91/16.14 (define @t216 () (or @t13 @t214)) % 15.91/16.14 (define @t217 () (not @t101)) % 15.91/16.14 (define @t218 () (or @t13 @t101)) % 15.91/16.14 (define @t219 () (or @t214 @t101)) % 15.91/16.14 (define @t220 () (and @t9 @t216)) % 15.91/16.14 (define @t221 () (not @t220)) % 15.91/16.14 (define @t222 () (and @t34 @t218)) % 15.91/16.14 (define @t223 () (not @t222)) % 15.91/16.14 (define @t224 () (and @t14 @t219)) % 15.91/16.14 (define @t225 () (not @t224)) % 15.91/16.14 (define @t226 () (and @t225 @t223 @t221)) % 15.91/16.14 (define @t227 () (or @t224 @t222 @t220)) % 15.91/16.14 (define @t228 () (forall @t17 (not @t227))) % 15.91/16.14 (define @t229 () (not @t228)) % 15.91/16.14 (define @t230 () (not @t27)) % 15.91/16.14 (define @t231 () (not @t23)) % 15.91/16.14 (define @t232 () (not @t24)) % 15.91/16.14 (define @t233 () (or @t230 @t232 @t231)) % 15.91/16.14 (define @t234 () (forall @t6 (not @t28))) % 15.91/16.14 (define @t235 () (not @t234)) % 15.91/16.14 (define @t236 () (or @t140 @t139 @t138)) % 15.91/16.14 (define @t237 () (or @t141 @t236 @t101)) % 15.91/16.14 (define @t238 () (forall @t143 @t237)) % 15.91/16.14 (define @t239 () (@list @t136)) % 15.91/16.14 (define @t240 () (forall @t239 @t237)) % 15.91/16.14 (define @t241 () (forall @t239 @t236)) % 15.91/16.14 (define @t242 () (or @t141 @t241 @t101)) % 15.91/16.14 (define @t243 () (or @t141 @t212 @t101)) % 15.91/16.14 (define @t244 () (and @t34 @t211 @t100)) % 15.91/16.14 (define @t245 () (forall @t17 (not @t244))) % 15.91/16.14 (define @t246 () (not @t245)) % 15.91/16.14 (define @t247 () (forall @t69 (or (not (tptp.g_false_only @t57 @t98)) @t67))) % 15.91/16.14 (define @t248 () (not @t247)) % 15.91/16.14 (define @t249 () (forall @t79 (or (not (tptp.g_both @t72 @t98)) @t76))) % 15.91/16.14 (define @t250 () (not @t249)) % 15.91/16.14 (define @t251 () (forall @t94 (or (not (tptp.g_true_only @t82 @t98)) @t92))) % 15.91/16.14 (define @t252 () (not @t251)) % 15.91/16.14 (define @t253 () (or @t252 @t250 @t248)) % 15.91/16.14 (define @t254 () (@list true)) % 15.91/16.14 (define @t255 () (@list @t253)) % 15.91/16.14 (define @t256 () (tptp.g_false_only @t98 @t98)) % 15.91/16.14 (define @t257 () (tptp.g_both @t98 @t98)) % 15.91/16.14 (define @t258 () (not @t257)) % 15.91/16.14 (define @t259 () (and @t258 @t258)) % 15.91/16.14 (define @t260 () (forall @t6 (or (not (tptp.g_true_only @t98 @t2)) (not (tptp.g_true_only @t2 @t98))))) % 15.91/16.14 (define @t261 () (not @t260)) % 15.91/16.14 (define @t262 () (or @t261 @t259 @t256 @t256)) % 15.91/16.14 (define @t263 () (forall @t6 (or (tptp.g_false_only @t98 @t2) (tptp.g_false_only @t2 @t98)))) % 15.91/16.14 (define @t264 () (not @t263)) % 15.91/16.14 (define @t265 () (and @t264 @t262)) % 15.91/16.14 (define @t266 () (not @t256)) % 15.91/16.14 (define @t267 () (or @t266 @t265)) % 15.91/16.14 (define @t268 () (or @t261 @t258 @t256 @t256)) % 15.91/16.14 (define @t269 () (and @t264 @t268)) % 15.91/16.14 (define @t270 () (or @t266 @t269)) % 15.91/16.14 (define @t271 () (@list false)) % 15.91/16.14 (define @t272 () (@quantifiers_skolemize @t263 0)) % 15.91/16.14 (define @t273 () (@list @t98 @t272)) % 15.91/16.14 (define @t274 () (tptp.g_false_only @t272 @t98)) % 15.91/16.14 (define @t275 () (tptp.g_false_only @t98 @t272)) % 15.91/16.14 (define @t276 () (tptp.g_both @t272 @t98)) % 15.91/16.14 (define @t277 () (not @t276)) % 15.91/16.14 (define @t278 () (tptp.g_both @t98 @t272)) % 15.91/16.14 (define @t279 () (not @t278)) % 15.91/16.14 (define @t280 () (and @t279 @t277)) % 15.91/16.14 (define @t281 () (or @t261 @t280 @t275 @t274)) % 15.91/16.14 (define @t282 () (and @t264 @t281)) % 15.91/16.14 (define @t283 () (or @t266 @t282)) % 15.91/16.14 (define @t284 () (or @t275 @t274)) % 15.91/16.14 (define @t285 () (not @t284)) % 15.91/16.14 (define @t286 () (@quantifiers_skolemize @t260 0)) % 15.91/16.14 (define @t287 () (tptp.g_true_only @t98 @t286)) % 15.91/16.14 (define @t288 () (tptp.g_true_only @t286 @t98)) % 15.91/16.14 (define @t289 () (not @t288)) % 15.91/16.14 (define @t290 () (not @t287)) % 15.91/16.14 (define @t291 () (or @t290 @t289)) % 15.91/16.14 (define @t292 () (or @t289 @t290)) % 15.91/16.14 (define @t293 () (and (or (not (forall @t6 (or (not (tptp.g_true_only @t286 @t2)) (not (tptp.g_true_only @t2 @t286))))) (and (not (tptp.g_both @t286 @t98)) (not (tptp.g_both @t98 @t286))) (tptp.g_false_only @t286 @t98) (tptp.g_false_only @t98 @t286)) @t292)) % 15.91/16.14 (define @t294 () (or @t289 @t293)) % 15.91/16.14 (define @t295 () (not @t291)) % 15.91/16.14 (define @t296 () (not @t280)) % 15.91/16.14 (define @t297 () (tptp.g_true_only @t98 @t272)) % 15.91/16.14 (define @t298 () (or @t297 @t278 @t275)) % 15.91/16.14 (define @t299 () (tptp.g_true_only @t272 @t98)) % 15.91/16.14 (define @t300 () (or @t299 @t276 @t274)) % 15.91/16.14 (define @t301 () (not @t297)) % 15.91/16.14 (define @t302 () (not @t299)) % 15.91/16.14 (define @t303 () (or @t302 @t301)) % 15.91/16.14 (define @t304 () (and (or (not (forall @t6 (or (not (tptp.g_true_only @t272 @t2)) (not (tptp.g_true_only @t2 @t272))))) (and @t277 @t279) @t274 @t275) @t303)) % 15.91/16.14 (define @t305 () (or @t302 @t304)) % 15.91/16.14 (define @t306 () (tptp.g_true_only @t98 @t98)) % 15.91/16.14 (define @t307 () (not @t306)) % 15.91/16.14 (define @t308 () (and @t268 @t307)) % 15.91/16.14 (define @t309 () (or @t307 @t307)) % 15.91/16.14 (define @t310 () (and @t262 @t309)) % 15.91/16.14 (define @t311 () (or @t307 @t310)) % 15.91/16.14 (define @t312 () (@list @t98 @t98 @t98)) % 15.91/16.14 (define @t313 () (or @t307 @t308)) % 15.91/16.14 (define @t314 () (or @t306 @t257 @t256)) % 15.91/16.14 (define @t315 () (@list true true false)) % 15.91/16.14 (define @t316 () (or @t252 @t250 @t248 @t258 @t261 @t258 @t256 @t256)) % 15.91/16.14 (define @t317 () (not @t316)) % 15.91/16.14 (define @t318 () (or @t252 @t250 @t248 @t258 @t261 @t259 @t256 @t256)) % 15.91/16.14 (define @t319 () (forall @t131 @t128)) % 15.91/16.14 (define @t320 () (not @t319)) % 15.91/16.14 (define @t321 () (@quantifiers_skolemize @t109 0)) % 15.91/16.14 (define @t322 () (forall @t107 (or (and (tptp.g_true_only @t1 @t321) @t104) (and (tptp.g_false_only @t1 @t321) @t101)))) % 15.91/16.14 (define @t323 () (not (not @t322))) % 15.91/16.14 (define @t324 () (and (tptp.g_false_only @t98 @t321) @t261)) % 15.91/16.14 (define @t325 () (or @t256 @t256)) % 15.91/16.14 (define @t326 () (tptp.g_true_only @t98 @t321)) % 15.91/16.14 (define @t327 () (and @t326 @t325)) % 15.91/16.14 (define @t328 () (or @t327 @t324)) % 15.91/16.14 (define @t329 () (and @t326 @t256)) % 15.91/16.14 (define @t330 () (or @t329 @t324)) % 15.91/16.14 (define @t331 () (not @t329)) % 15.91/16.14 (define @t332 () (not @t324)) % 15.91/16.14 (assume @p1 @t48) % 15.91/16.14 (assume @p2 (forall @t54 (= @t53 (and @t52 (not @t51))))) % 15.91/16.14 (assume @p3 (forall @t54 (= @t55 (and @t52 @t51)))) % 15.91/16.14 (assume @p4 (forall @t54 (= @t56 (and @t51 (not @t52))))) % 15.91/16.14 (assume @p5 (forall @t54 (or @t53 @t55 @t56))) % 15.91/16.14 (assume @p6 true) % 15.91/16.14 (step @p7 :rule instantiate :premises (@p5) :args (@t99)) % 15.91/16.14 (step @p8 :rule bool-double-not-elim :args (@t109)) % 15.91/16.14 (step @p9 :rule exists-elim :args ((= (exists @t19 @t108) @t110))) % 15.91/16.14 (step @p10 :rule quant-merge-prenex :args ((= (forall @t17 @t112) @t108))) % 15.91/16.14 (step @p11 :rule refl :args (@t102)) % 15.91/16.14 (step @p12 :rule alpha_equiv :args (@t113 (@list @t103) @t114)) % 15.91/16.14 (step @p13 :rule quant-unused-vars :args ((= @t115 @t14))) % 15.91/16.14 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t116)) % 15.91/16.14 (step @p15 :rule quant-miniscope-and :args ((= @t117 @t116))) % 15.91/16.14 (step @p16 :rule trans :premises (@p15 @p14)) % 15.91/16.14 (step @p17 :rule nary_cong :premises (@p16 @p11) :args (@t118)) % 15.91/16.14 (step @p18 :rule quant-miniscope-or :args ((= @t112 @t118))) % 15.91/16.14 (step @p19 :rule trans :premises (@p18 @p17)) % 15.91/16.14 (step @p20 :rule symm :premises (@p19)) % 15.91/16.14 (step @p21 :rule cong :premises (@p20) :args ((forall @t17 (or @t15 @t102)))) % 15.91/16.14 (step @p22 :rule trans :premises (@p21 @p10)) % 15.91/16.14 (step @p23 :rule bool-and-de-morgan :args (@t4 @t3 true)) % 15.91/16.14 (step @p24 :rule cong :premises (@p23) :args (@t119)) % 15.91/16.14 (step @p25 :rule cong :premises (@p24) :args (@t120)) % 15.91/16.14 (step @p26 :rule exists-elim :args ((= @t7 @t120))) % 15.91/16.14 (step @p27 :rule trans :premises (@p26 @p25)) % 15.91/16.14 (step @p28 :rule refl :args (@t9)) % 15.91/16.14 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t10)) % 15.91/16.14 (step @p30 :rule refl :args (@t15)) % 15.91/16.14 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t16)) % 15.91/16.14 (step @p32 :rule cong :premises (@p31) :args (@t18)) % 15.91/16.14 (step @p33 :rule trans :premises (@p32 @p22)) % 15.91/16.14 (step @p34 :rule cong :premises (@p33) :args (@t20)) % 15.91/16.14 (step @p35 :rule trans :premises (@p34 @p9)) % 15.91/16.14 (step @p36 :rule cong :premises (@p35) :args (@t21)) % 15.91/16.14 (step @p37 :rule trans :premises (@p36 @p8)) % 15.91/16.14 (step @p38 :rule aci_norm :args ((= @t130 @t128))) % 15.91/16.14 (step @p39 :rule cong :premises (@p38) :args (@t132)) % 15.91/16.14 (step @p40 :rule quant-merge-prenex :args ((= (forall @t19 @t134) @t132))) % 15.91/16.14 (step @p41 :rule refl :args (@t71)) % 15.91/16.14 (step @p42 :rule refl :args (@t81)) % 15.91/16.14 (step @p43 :rule refl :args (@t96)) % 15.91/16.14 (step @p44 :rule alpha_equiv :args (@t135 (@list @t121 @t122) (@list @t1 @t136))) % 15.91/16.14 (step @p45 :rule nary_cong :premises (@p44 @p43 @p42 @p41) :args (@t137)) % 15.91/16.14 (step @p46 :rule quant-miniscope-or :args ((= @t134 @t137))) % 15.91/16.14 (step @p47 :rule trans :premises (@p46 @p45)) % 15.91/16.14 (step @p48 :rule symm :premises (@p47)) % 15.91/16.14 (step @p49 :rule cong :premises (@p48) :args ((forall @t19 (or @t144 @t96 @t81 @t71)))) % 15.91/16.14 (step @p50 :rule trans :premises (@p49 @p40)) % 15.91/16.14 (step @p51 :rule trans :premises (@p50 @p39)) % 15.91/16.14 (step @p52 :rule bool-double-not-elim :args (@t144)) % 15.91/16.14 (step @p53 :rule nary_cong :premises (@p52 @p43 @p42 @p41) :args (@t147)) % 15.91/16.14 (step @p54 :rule aci_norm :args ((= (or @t146 @t148) @t147))) % 15.91/16.14 (step @p55 :rule trans :premises (@p54 @p53)) % 15.91/16.14 (step @p56 :rule bool-and-de-morgan :args (@t80 @t70 true)) % 15.91/16.14 (step @p57 :rule nary_cong :premises (@p43 @p56) :args ((or @t96 (not (and @t80 @t70))))) % 15.91/16.14 (step @p58 :rule bool-and-de-morgan :args (@t95 @t80 (and @t70))) % 15.91/16.14 (step @p59 :rule trans :premises (@p58 @p57)) % 15.91/16.14 (step @p60 :rule refl :args (@t146)) % 15.91/16.14 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t146 @t150))) % 15.91/16.14 (step @p62 :rule bool-and-de-morgan :args (@t145 @t95 (and @t80 @t70))) % 15.91/16.14 (step @p63 :rule trans :premises (@p62 @p61)) % 15.91/16.14 (step @p64 :rule trans :premises (@p63 @p55)) % 15.91/16.14 (step @p65 :rule cong :premises (@p64) :args (@t152)) % 15.91/16.14 (step @p66 :rule trans :premises (@p65 @p51)) % 15.91/16.14 (step @p67 :rule cong :premises (@p66) :args (@t153)) % 15.91/16.14 (step @p68 :rule exists-elim :args ((= (exists @t19 @t151) @t153))) % 15.91/16.14 (step @p69 :rule trans :premises (@p68 @p67)) % 15.91/16.14 (step @p70 :rule aci_norm :args ((= (and @t145 @t149) @t151))) % 15.91/16.14 (step @p71 :rule bool-double-not-elim :args (@t149)) % 15.91/16.14 (step @p72 :rule aci_norm :args ((= @t155 @t63))) % 15.91/16.14 (step @p73 :rule refl :args (@t66)) % 15.91/16.14 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t156)) % 15.91/16.14 (step @p75 :rule refl :args (@t68)) % 15.91/16.14 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t157)) % 15.91/16.14 (step @p77 :rule cong :premises (@p76) :args (@t158)) % 15.91/16.14 (step @p78 :rule quant-merge-prenex :args ((= (forall @t161 @t160) @t158))) % 15.91/16.14 (step @p79 :rule refl :args (@t62)) % 15.91/16.14 (step @p80 :rule alpha_equiv :args (@t162 (@list @t58) @t114)) % 15.91/16.14 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t163)) % 15.91/16.14 (step @p82 :rule quant-miniscope-or :args ((= @t164 @t163))) % 15.91/16.14 (step @p83 :rule trans :premises (@p82 @p81)) % 15.91/16.14 (step @p84 :rule quant-unused-vars :args ((= @t165 @t66))) % 15.91/16.14 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t166)) % 15.91/16.14 (step @p86 :rule quant-miniscope-and :args ((= @t167 @t166))) % 15.91/16.14 (step @p87 :rule trans :premises (@p86 @p85)) % 15.91/16.14 (step @p88 :rule refl :args (@t68)) % 15.91/16.14 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t168)) % 15.91/16.14 (step @p90 :rule quant-miniscope-or :args ((= @t160 @t168))) % 15.91/16.14 (step @p91 :rule trans :premises (@p90 @p89)) % 15.91/16.14 (step @p92 :rule symm :premises (@p91)) % 15.91/16.14 (step @p93 :rule cong :premises (@p92) :args (@t169)) % 15.91/16.14 (step @p94 :rule trans :premises (@p93 @p78)) % 15.91/16.14 (step @p95 :rule trans :premises (@p94 @p77)) % 15.91/16.14 (step @p96 :rule quant-merge-prenex :args ((= (forall @t172 @t171) @t80))) % 15.91/16.14 (step @p97 :rule alpha_equiv :args (@t173 (@list @t73) @t114)) % 15.91/16.14 (step @p98 :rule quant-unused-vars :args ((= @t174 @t75))) % 15.91/16.14 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t175)) % 15.91/16.14 (step @p100 :rule quant-miniscope-and :args ((= @t176 @t175))) % 15.91/16.14 (step @p101 :rule trans :premises (@p100 @p99)) % 15.91/16.14 (step @p102 :rule refl :args (@t77)) % 15.91/16.14 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t177)) % 15.91/16.14 (step @p104 :rule quant-miniscope-or :args ((= @t171 @t177))) % 15.91/16.14 (step @p105 :rule trans :premises (@p104 @p103)) % 15.91/16.14 (step @p106 :rule symm :premises (@p105)) % 15.91/16.14 (step @p107 :rule cong :premises (@p106) :args (@t178)) % 15.91/16.14 (step @p108 :rule trans :premises (@p107 @p96)) % 15.91/16.14 (step @p109 :rule refl :args (@t84)) % 15.91/16.14 (step @p110 :rule aci_norm :args ((= @t180 @t91))) % 15.91/16.14 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t181)) % 15.91/16.14 (step @p112 :rule refl :args (@t93)) % 15.91/16.14 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t182)) % 15.91/16.14 (step @p114 :rule cong :premises (@p113) :args (@t183)) % 15.91/16.14 (step @p115 :rule quant-merge-prenex :args ((= (forall @t186 @t185) @t183))) % 15.91/16.14 (step @p116 :rule alpha_equiv :args (@t187 (@list @t83) @t114)) % 15.91/16.14 (step @p117 :rule quant-unused-vars :args ((= @t188 @t187))) % 15.91/16.14 (step @p118 :rule trans :premises (@p117 @p116)) % 15.91/16.14 (step @p119 :rule refl :args (@t90)) % 15.91/16.14 (step @p120 :rule alpha_equiv :args (@t190 (@list @t85) @t114)) % 15.91/16.14 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t191)) % 15.91/16.14 (step @p122 :rule quant-miniscope-or :args ((= @t192 @t191))) % 15.91/16.14 (step @p123 :rule quant-unused-vars :args ((= @t193 @t192))) % 15.91/16.14 (step @p124 :rule trans :premises (@p123 @p122)) % 15.91/16.14 (step @p125 :rule trans :premises (@p124 @p121)) % 15.91/16.14 (step @p126 :rule nary_cong :premises (@p125 @p118) :args (@t194)) % 15.91/16.14 (step @p127 :rule quant-miniscope-and :args ((= @t195 @t194))) % 15.91/16.14 (step @p128 :rule trans :premises (@p127 @p126)) % 15.91/16.14 (step @p129 :rule refl :args (@t93)) % 15.91/16.14 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t196)) % 15.91/16.14 (step @p131 :rule quant-miniscope-or :args ((= @t185 @t196))) % 15.91/16.14 (step @p132 :rule trans :premises (@p131 @p130)) % 15.91/16.14 (step @p133 :rule symm :premises (@p132)) % 15.91/16.14 (step @p134 :rule cong :premises (@p133) :args (@t197)) % 15.91/16.14 (step @p135 :rule trans :premises (@p134 @p115)) % 15.91/16.14 (step @p136 :rule trans :premises (@p135 @p114)) % 15.91/16.14 (step @p137 :rule nary_cong :premises (@p136 @p108 @p95) :args ((and @t197 @t178 @t169))) % 15.91/16.14 (step @p138 :rule alpha_equiv :args (@t203 @t204 (@list @t57))) % 15.91/16.14 (step @p139 :rule alpha_equiv :args (@t206 @t204 (@list @t72))) % 15.91/16.14 (step @p140 :rule alpha_equiv :args (@t209 @t204 (@list @t82))) % 15.91/16.14 (step @p141 :rule nary_cong :premises (@p140 @p139 @p138) :args (@t210)) % 15.91/16.14 (step @p142 :rule quant-miniscope-and :args ((= (forall @t17 (and @t208 @t205 @t202)) @t210))) % 15.91/16.14 (step @p143 :rule trans :premises (@p142 @p141)) % 15.91/16.14 (step @p144 :rule trans :premises (@p143 @p137)) % 15.91/16.14 (step @p145 :rule refl :args (@t101)) % 15.91/16.14 (step @p146 :rule bool-double-not-elim :args (@t198)) % 15.91/16.14 (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t213)) % 15.91/16.14 (step @p148 :rule bool-and-de-morgan :args (@t211 @t100 true)) % 15.91/16.14 (step @p149 :rule trans :premises (@p148 @p147)) % 15.91/16.14 (step @p150 :rule refl :args (@t200)) % 15.91/16.14 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((and @t200 @t215))) % 15.91/16.14 (step @p152 :rule bool-or-de-morgan :args (@t13 @t214 false)) % 15.91/16.14 (step @p153 :rule trans :premises (@p152 @p151)) % 15.91/16.14 (step @p154 :rule refl :args (@t201)) % 15.91/16.14 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or @t201 (not @t216)))) % 15.91/16.14 (step @p156 :rule bool-and-de-morgan :args (@t9 @t216 true)) % 15.91/16.14 (step @p157 :rule trans :premises (@p156 @p155)) % 15.91/16.14 (step @p158 :rule bool-double-not-elim :args (@t100)) % 15.91/16.14 (step @p159 :rule nary_cong :premises (@p150 @p158) :args ((and @t200 @t217))) % 15.91/16.14 (step @p160 :rule bool-or-de-morgan :args (@t13 @t101 false)) % 15.91/16.14 (step @p161 :rule trans :premises (@p160 @p159)) % 15.91/16.14 (step @p162 :rule refl :args (@t141)) % 15.91/16.14 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t141 (not @t218)))) % 15.91/16.14 (step @p164 :rule bool-and-de-morgan :args (@t34 @t218 true)) % 15.91/16.14 (step @p165 :rule trans :premises (@p164 @p163)) % 15.91/16.14 (step @p166 :rule refl :args (@t100)) % 15.91/16.14 (step @p167 :rule nary_cong :premises (@p149 @p166) :args 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false)) % 15.91/16.14 (step @p196 :rule nary_cong :premises (@p195 @p194 @p193) :args ((or @t230 @t12 @t11))) % 15.91/16.14 (step @p197 :rule bool-double-not-elim :args (@t11)) % 15.91/16.14 (step @p198 :rule bool-double-not-elim :args (@t12)) % 15.91/16.14 (step @p199 :rule refl :args (@t230)) % 15.91/16.14 (step @p200 :rule nary_cong :premises (@p199 @p198 @p197) :args (@t233)) % 15.91/16.14 (step @p201 :rule aci_norm :args ((= (or @t230 (or @t232 @t231)) @t233))) % 15.91/16.14 (step @p202 :rule trans :premises (@p201 @p200)) % 15.91/16.14 (step @p203 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 15.91/16.14 (step @p204 :rule nary_cong :premises (@p199 @p203) :args ((or @t230 (not (and @t24 @t23))))) % 15.91/16.14 (step @p205 :rule bool-and-de-morgan :args (@t27 @t24 (and @t23))) % 15.91/16.14 (step @p206 :rule trans :premises (@p205 @p204)) % 15.91/16.14 (step @p207 :rule trans :premises (@p206 @p202)) % 15.91/16.14 (step @p208 :rule trans :premises (@p207 @p196)) % 15.91/16.14 (step @p209 :rule cong :premises (@p208) :args (@t234)) % 15.91/16.14 (step @p210 :rule cong :premises (@p209) :args (@t235)) % 15.91/16.14 (step @p211 :rule exists-elim :args ((= @t29 @t235))) % 15.91/16.14 (step @p212 :rule trans :premises (@p211 @p210)) % 15.91/16.14 (step @p213 :rule nary_cong :premises (@p212 @p192) :args (@t30)) % 15.91/16.14 (step @p214 :rule refl :args (@t13)) % 15.91/16.14 (step @p215 :rule nary_cong :premises (@p214 @p213) :args (@t31)) % 15.91/16.14 (step @p216 :rule nary_cong :premises (@p28 @p215) :args (@t32)) % 15.91/16.14 (step @p217 :rule nary_cong :premises (@p214 @p27) :args (@t33)) % 15.91/16.14 (step @p218 :rule refl :args (@t34)) % 15.91/16.14 (step @p219 :rule nary_cong :premises (@p218 @p217) :args (@t35)) % 15.91/16.14 (step @p220 :rule nary_cong :premises (@p213 @p27) :args (@t36)) % 15.91/16.14 (step @p221 :rule refl :args (@t14)) % 15.91/16.14 (step @p222 :rule nary_cong :premises (@p221 @p220) :args (@t37)) % 15.91/16.14 (step @p223 :rule nary_cong :premises (@p222 @p219 @p216) :args (@t38)) % 15.91/16.14 (step @p224 :rule cong :premises (@p223) :args (@t39)) % 15.91/16.14 (step @p225 :rule trans :premises (@p224 @p190)) % 15.91/16.14 (step @p226 :rule cong :premises (@p225) :args (@t40)) % 15.91/16.14 (step @p227 :rule trans :premises (@p226 @p71)) % 15.91/16.14 (step @p228 :rule aci_norm :args ((= @t237 @t142))) % 15.91/16.14 (step @p229 :rule cong :premises (@p228) :args (@t238)) % 15.91/16.14 (step @p230 :rule quant-merge-prenex :args ((= (forall @t17 @t240) @t238))) % 15.91/16.14 (step @p231 :rule alpha_equiv :args (@t241 (@list @t136) @t114)) % 15.91/16.14 (step @p232 :rule nary_cong :premises (@p162 @p231 @p145) :args (@t242)) % 15.91/16.14 (step @p233 :rule quant-miniscope-or :args ((= @t240 @t242))) % 15.91/16.14 (step @p234 :rule trans :premises (@p233 @p232)) % 15.91/16.14 (step @p235 :rule symm :premises (@p234)) % 15.91/16.14 (step @p236 :rule cong :premises (@p235) :args ((forall @t17 (or @t141 @t198 @t101)))) % 15.91/16.14 (step @p237 :rule trans :premises (@p236 @p230)) % 15.91/16.14 (step @p238 :rule trans :premises (@p237 @p229)) % 15.91/16.14 (step @p239 :rule nary_cong :premises (@p162 @p146 @p145) :args (@t243)) % 15.91/16.14 (step @p240 :rule aci_norm :args ((= (or @t141 @t213) @t243))) % 15.91/16.14 (step @p241 :rule trans :premises (@p240 @p239)) % 15.91/16.14 (step @p242 :rule nary_cong :premises (@p162 @p148) :args ((or @t141 @t215))) % 15.91/16.14 (step @p243 :rule bool-and-de-morgan :args (@t34 @t211 (and @t100))) % 15.91/16.14 (step @p244 :rule trans :premises (@p243 @p242)) % 15.91/16.14 (step @p245 :rule trans :premises (@p244 @p241)) % 15.91/16.14 (step @p246 :rule cong :premises (@p245) :args (@t245)) % 15.91/16.14 (step @p247 :rule trans :premises (@p246 @p238)) % 15.91/16.14 (step @p248 :rule cong :premises (@p247) :args (@t246)) % 15.91/16.14 (step @p249 :rule exists-elim :args ((= (exists @t17 @t244) @t246))) % 15.91/16.14 (step @p250 :rule trans :premises 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(@t47)) % 15.91/16.14 (step @p265 :rule cong :premises (@p264) :args (@t48)) % 15.91/16.14 (step @p266 :rule eq_resolve :premises (@p1 @p265)) % 15.91/16.14 (step @p267 :rule not_or_elim :premises (@p266) :args (0)) % 15.91/16.14 (step @p268 :rule skolemize :premises (@p267)) % 15.91/16.14 (step @p269 :rule bool-double-not-elim :args (@t247)) % 15.91/16.14 (step @p270 :rule refl :args (@t253)) % 15.91/16.14 (step @p271 :rule nary_cong :premises (@p270 @p269) :args ((or @t253 (not @t248)))) % 15.91/16.14 (step @p272 :rule cnf_or_neg :args (@t253 2)) % 15.91/16.14 (step @p273 :rule eq_resolve :premises (@p272 @p271)) % 15.91/16.14 (step @p274 :rule reordering :premises (@p273) :args ((or @t247 @t253))) % 15.91/16.14 (step @p275 :rule chain_m_resolution :premises (@p274 @p268) :args (@t247 @t254 @t255)) % 15.91/16.14 (step @p276 :rule refl :args (@t256)) % 15.91/16.14 (step @p277 :rule aci_norm :args ((= @t259 @t258))) % 15.91/16.14 (step @p278 :rule refl :args (@t261)) % 15.91/16.14 (step @p279 :rule nary_cong :premises (@p278 @p277 @p276 @p276) :args (@t262)) % 15.91/16.14 (step @p280 :rule refl :args (@t264)) % 15.91/16.14 (step @p281 :rule nary_cong :premises (@p280 @p279) :args (@t265)) % 15.91/16.14 (step @p282 :rule refl :args (@t266)) % 15.91/16.14 (step @p283 :rule nary_cong :premises (@p282 @p281) :args (@t267)) % 15.91/16.14 (step @p284 :rule refl :args (@t247)) % 15.91/16.14 (step @p285 :rule cong :premises (@p284 @p283) :args ((=> @t247 @t267))) % 15.91/16.14 (assume-push @p454 @t247) % 15.91/16.14 (step @p287 :rule instantiate :premises (@p275) :args (@t99)) % 15.91/16.14 (step-pop @p455 :rule scope :premises (@p287)) % 15.91/16.14 (step @p288 :rule process_scope :premises (@p455) :args (@t267)) % 15.91/16.14 (step @p290 :rule eq_resolve :premises (@p288 @p285)) % 15.91/16.14 (step @p291 :rule implies_elim :premises (@p290)) % 15.91/16.14 (step @p292 :rule chain_m_resolution :premises (@p291 @p275) :args (@t270 @t271 (@list @t247))) % 15.91/16.14 (step @p293 :rule cnf_or_pos :args (@t270)) % 15.91/16.14 (step @p294 :rule reordering :premises (@p293) :args ((or @t266 @t269 (not @t270)))) % 15.91/16.14 (step @p295 :rule instantiate :premises (@p275) :args (@t273)) % 15.91/16.14 (step @p296 :rule cnf_or_pos :args (@t283)) % 15.91/16.14 (step @p297 :rule reordering :premises (@p296) :args ((or @t266 @t282 (not @t283)))) % 15.91/16.14 (step @p298 :rule cnf_and_pos :args (@t269 0)) % 15.91/16.14 (step @p299 :rule reordering :premises (@p298) :args ((or @t264 (not @t269)))) % 15.91/16.14 (step @p300 :rule cnf_and_pos :args (@t282 1)) % 15.91/16.14 (step @p301 :rule reordering :premises (@p300) :args ((or @t281 (not @t282)))) % 15.91/16.14 (step @p302 :rule refl :args (@t285)) % 15.91/16.14 (step @p303 :rule bool-double-not-elim :args (@t263)) % 15.91/16.14 (step @p304 :rule nary_cong :premises (@p303 @p302) :args ((or (not @t264) @t285))) % 15.91/16.14 (assume-push @p456 @t264) % 15.91/16.14 (step @p306 :rule skolemize :premises (@p456)) % 15.91/16.14 (step-pop @p457 :rule scope :premises (@p306)) % 15.91/16.14 (step @p307 :rule process_scope :premises (@p457) :args (@t285)) % 15.91/16.14 (step @p309 :rule implies_elim :premises (@p307)) % 15.91/16.14 (step @p310 :rule eq_resolve :premises (@p309 @p304)) % 15.91/16.14 (step @p311 :rule cnf_or_neg :args (@t284 0)) % 15.91/16.14 (step @p312 :rule cnf_or_neg :args (@t284 1)) % 15.91/16.14 (step @p313 :rule bool-double-not-elim :args (@t287)) % 15.91/16.14 (step @p314 :rule refl :args (@t291)) % 15.91/16.14 (step @p315 :rule nary_cong :premises (@p314 @p313) :args ((or @t291 (not @t290)))) % 15.91/16.14 (step @p316 :rule cnf_or_neg :args (@t291 0)) % 15.91/16.14 (step @p317 :rule eq_resolve :premises (@p316 @p315)) % 15.91/16.14 (step @p318 :rule reordering :premises (@p317) :args ((or @t287 @t291))) % 15.91/16.14 (step @p319 :rule bool-double-not-elim :args (@t288)) % 15.91/16.14 (step @p320 :rule nary_cong :premises (@p314 @p319) :args ((or @t291 (not @t289)))) % 15.91/16.14 (step @p321 :rule cnf_or_neg :args (@t291 1)) % 15.91/16.14 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 15.91/16.14 (step @p323 :rule reordering :premises (@p322) :args ((or @t288 @t291))) % 15.91/16.14 (step @p324 :rule cnf_or_pos :args (@t292)) % 15.91/16.14 (step @p325 :rule reordering :premises (@p324) :args ((or @t290 @t289 (not @t292)))) % 15.91/16.14 (step @p326 :rule bool-double-not-elim :args (@t251)) % 15.91/16.14 (step @p327 :rule nary_cong :premises (@p270 @p326) :args ((or @t253 (not @t252)))) % 15.91/16.14 (step @p328 :rule cnf_or_neg :args (@t253 0)) % 15.91/16.14 (step @p329 :rule eq_resolve :premises (@p328 @p327)) % 15.91/16.14 (step @p330 :rule reordering :premises (@p329) :args ((or @t251 @t253))) % 15.91/16.14 (step @p331 :rule chain_m_resolution :premises (@p330 @p268) :args (@t251 @t254 @t255)) % 15.91/16.14 (step @p332 :rule instantiate :premises (@p331) :args ((@list @t286 @t98 @t98))) % 15.91/16.14 (step @p333 :rule cnf_or_pos :args (@t294)) % 15.91/16.14 (step @p334 :rule reordering :premises (@p333) :args ((or @t289 @t293 (not @t294)))) % 15.91/16.14 (step @p335 :rule cnf_and_pos :args (@t293 1)) % 15.91/16.14 (step @p336 :rule reordering :premises (@p335) :args ((or @t292 (not @t293)))) % 15.91/16.14 (step @p337 :rule chain_m_resolution :premises (@p336 @p334 @p332 @p325 @p323 @p318) :args (@t291 (@list false false true false false) (@list @t293 @t294 @t292 @t288 @t287))) % 15.91/16.14 (step @p338 :rule refl :args (@t295)) % 15.91/16.14 (step @p339 :rule bool-double-not-elim :args (@t260)) % 15.91/16.14 (step @p340 :rule nary_cong :premises (@p339 @p338) :args ((or (not @t261) @t295))) % 15.91/16.14 (assume-push @p458 @t261) % 15.91/16.14 (step @p342 :rule skolemize :premises (@p458)) % 15.91/16.14 (step-pop @p459 :rule scope :premises (@p342)) % 15.91/16.14 (step @p343 :rule process_scope :premises (@p459) :args (@t295)) % 15.91/16.14 (step @p345 :rule implies_elim :premises (@p343)) % 15.91/16.14 (step @p346 :rule eq_resolve :premises (@p345 @p340)) % 15.91/16.14 (step @p347 :rule chain_m_resolution :premises (@p346 @p337) :args (@t260 @t271 (@list @t291))) % 15.91/16.14 (step @p348 :rule cnf_or_pos :args (@t281)) % 15.91/16.14 (step @p349 :rule reordering :premises (@p348) :args ((or @t261 @t275 @t274 @t280 (not @t281)))) % 15.91/16.14 (step @p350 :rule cnf_and_pos :args (@t280 0)) % 15.91/16.14 (step @p351 :rule reordering :premises (@p350) :args ((or @t279 @t296))) % 15.91/16.14 (step @p352 :rule cnf_and_pos :args (@t280 1)) % 15.91/16.14 (step @p353 :rule reordering :premises (@p352) :args ((or @t277 @t296))) % 15.91/16.14 (step @p354 :rule instantiate :premises (@p5) :args (@t273)) % 15.91/16.14 (step @p355 :rule cnf_or_pos :args (@t298)) % 15.91/16.14 (step @p356 :rule reordering :premises (@p355) :args ((or @t275 @t297 @t278 (not @t298)))) % 15.91/16.14 (step @p357 :rule instantiate :premises (@p5) :args ((@list @t272 @t98))) % 15.91/16.14 (step @p358 :rule cnf_or_pos :args (@t300)) % 15.91/16.14 (step @p359 :rule reordering :premises (@p358) :args ((or @t274 @t299 @t276 (not @t300)))) % 15.91/16.14 (step @p360 :rule cnf_or_pos :args (@t303)) % 15.91/16.14 (step @p361 :rule reordering :premises (@p360) :args ((or @t302 @t301 (not @t303)))) % 15.91/16.14 (step @p362 :rule instantiate :premises (@p331) :args ((@list @t272 @t98 @t98))) % 15.91/16.14 (step @p363 :rule cnf_or_pos :args (@t305)) % 15.91/16.14 (step @p364 :rule reordering :premises (@p363) :args ((or @t302 @t304 (not @t305)))) % 15.91/16.14 (step @p365 :rule cnf_and_pos :args (@t304 1)) % 15.91/16.14 (step @p366 :rule reordering :premises (@p365) :args ((or @t303 (not @t304)))) % 15.91/16.14 (step @p367 :rule chain_m_resolution :premises (@p366 @p364 @p362 @p361 @p359 @p357 @p356 @p354 @p353 @p351 @p349 @p347 @p312 @p311 @p310 @p301 @p299 @p297 @p295 @p294 @p292) :args (@t266 (@list false false true false false false false true true false false true true true false true false false false false) (@list @t304 @t305 @t303 @t299 @t300 @t297 @t298 @t276 @t278 @t280 @t260 @t274 @t275 @t284 @t281 @t263 @t282 @t283 @t269 @t270))) % 15.91/16.14 (step @p368 :rule cnf_and_pos :args (@t308 1)) % 15.91/16.14 (step @p369 :rule reordering :premises (@p368) :args ((or @t307 (not @t308)))) % 15.91/16.14 (step @p370 :rule aci_norm :args ((= @t309 @t307))) % 15.91/16.14 (step @p371 :rule nary_cong :premises (@p279 @p370) :args (@t310)) % 15.91/16.14 (step @p372 :rule refl :args (@t307)) % 15.91/16.14 (step @p373 :rule nary_cong :premises (@p372 @p371) :args (@t311)) % 15.91/16.14 (step @p374 :rule refl :args (@t251)) % 15.91/16.14 (step @p375 :rule cong :premises (@p374 @p373) :args ((=> @t251 @t311))) % 15.91/16.14 (assume-push @p460 @t251) % 15.91/16.14 (step @p377 :rule instantiate :premises (@p331) :args (@t312)) % 15.91/16.14 (step-pop @p461 :rule scope :premises (@p377)) % 15.91/16.14 (step @p378 :rule process_scope :premises (@p461) :args (@t311)) % 15.91/16.14 (step @p380 :rule eq_resolve :premises (@p378 @p375)) % 15.91/16.14 (step @p381 :rule implies_elim :premises (@p380)) % 15.91/16.14 (step @p382 :rule chain_m_resolution :premises (@p381 @p331) :args (@t313 @t271 (@list @t251))) % 15.91/16.14 (step @p383 :rule cnf_or_pos :args (@t313)) % 15.91/16.14 (step @p384 :rule reordering :premises (@p383) :args ((or @t307 @t308 (not @t313)))) % 15.91/16.14 (step @p385 :rule chain_m_resolution :premises (@p384 @p382 @p369) :args (@t307 (@list false true) (@list @t313 @t308))) % 15.91/16.14 (step @p386 :rule cnf_or_pos :args (@t314)) % 15.91/16.14 (step @p387 :rule reordering :premises (@p386) :args ((or @t306 @t257 @t256 (not @t314)))) % 15.91/16.14 (step @p388 :rule chain_m_resolution :premises (@p387 @p385 @p367 @p7) :args (@t257 @t315 (@list @t306 @t256 @t314))) % 15.91/16.14 (step @p389 :rule bool-double-not-elim :args (@t249)) % 15.91/16.14 (step @p390 :rule nary_cong :premises (@p270 @p389) :args ((or @t253 (not @t250)))) % 15.91/16.14 (step @p391 :rule cnf_or_neg :args (@t253 1)) % 15.91/16.14 (step @p392 :rule eq_resolve :premises (@p391 @p390)) % 15.91/16.14 (step @p393 :rule reordering :premises (@p392) :args ((or @t249 @t253))) % 15.91/16.14 (step @p394 :rule chain_m_resolution :premises (@p393 @p268) :args (@t249 @t254 @t255)) % 15.91/16.14 (step @p395 :rule cnf_or_pos :args (@t316)) % 15.91/16.14 (step @p396 :rule factoring :premises (@p395)) % 15.91/16.14 (step @p397 :rule reordering :premises (@p396) :args ((or @t252 @t250 @t248 @t256 @t261 @t258 @t317))) % 15.91/16.14 (step @p398 :rule chain_m_resolution :premises (@p397 @p331 @p394 @p275 @p367 @p347 @p388) :args (@t317 (@list false false false true false false) (@list @t251 @t249 @t247 @t256 @t260 @t257))) % 15.91/16.14 (step @p399 :rule refl :args (@t258)) % 15.91/16.14 (step @p400 :rule refl :args (@t248)) % 15.91/16.14 (step @p401 :rule refl :args (@t250)) % 15.91/16.14 (step @p402 :rule refl :args (@t252)) % 15.91/16.14 (step @p403 :rule nary_cong :premises (@p402 @p401 @p400 @p399 @p278 @p277 @p276 @p276) :args (@t318)) % 15.91/16.14 (step @p404 :rule refl :args (@t319)) % 15.91/16.14 (step @p405 :rule cong :premises (@p404 @p403) :args ((=> @t319 @t318))) % 15.91/16.14 (assume-push @p462 @t319) % 15.91/16.14 (step @p407 :rule instantiate :premises (@p462) :args (@t312)) % 15.91/16.14 (step-pop @p463 :rule scope :premises (@p407)) % 15.91/16.14 (step @p408 :rule process_scope :premises (@p463) :args (@t318)) % 15.91/16.14 (step @p410 :rule eq_resolve :premises (@p408 @p405)) % 15.91/16.14 (step @p411 :rule implies_elim :premises (@p410)) % 15.91/16.14 (step @p412 :rule chain_m_resolution :premises (@p411 @p398) :args (@t320 @t254 (@list @t316))) % 15.91/16.14 (step @p413 :rule refl :args (@t110)) % 15.91/16.14 (step @p414 :rule bool-double-not-elim :args (@t319)) % 15.91/16.14 (step @p415 :rule nary_cong :premises (@p414 @p413) :args ((or (not @t320) @t110))) % 15.91/16.14 (step @p416 :rule not_or_elim :premises (@p266) :args (1)) % 15.91/16.14 (step @p417 :rule not_and :premises (@p416)) % 15.91/16.14 (step @p418 :rule eq_resolve :premises (@p417 @p415)) % 15.91/16.14 (step @p419 :rule chain_m_resolution :premises (@p418 @p412) :args (@t110 @t254 (@list @t319))) % 15.91/16.14 (step @p420 :rule refl :args (@t322)) % 15.91/16.14 (step @p421 :rule nary_cong :premises (@p8 @p420) :args ((or (not @t110) @t322))) % 15.91/16.14 (step @p422 :rule bool-double-not-elim :args (@t322)) % 15.91/16.14 (step @p423 :rule cong :premises (@p413 @p422) :args ((=> @t110 @t323))) % 15.91/16.14 (assume-push @p464 @t110) % 15.91/16.14 (step @p425 :rule skolemize :premises (@p464)) % 15.91/16.14 (step-pop @p465 :rule scope :premises (@p425)) % 15.91/16.14 (step @p426 :rule process_scope :premises (@p465) :args (@t323)) % 15.91/16.14 (step @p428 :rule eq_resolve :premises (@p426 @p423)) % 15.91/16.14 (step @p429 :rule implies_elim :premises (@p428)) % 15.91/16.14 (step @p430 :rule eq_resolve :premises (@p429 @p421)) % 15.91/16.14 (step @p431 :rule chain_m_resolution :premises (@p430 @p419) :args (@t322 @t254 (@list @t109))) % 15.91/16.14 (step @p432 :rule refl :args (@t324)) % 15.91/16.14 (step @p433 :rule aci_norm :args ((= @t325 @t256))) % 15.91/16.14 (step @p434 :rule refl :args (@t326)) % 15.91/16.14 (step @p435 :rule nary_cong :premises (@p434 @p433) :args (@t327)) % 15.91/16.14 (step @p436 :rule nary_cong :premises (@p435 @p432) :args (@t328)) % 15.91/16.14 (step @p437 :rule cong :premises (@p420 @p436) :args ((=> @t322 @t328))) % 15.91/16.14 (assume-push @p466 @t322) % 15.91/16.14 (step @p439 :rule instantiate :premises (@p466) :args (@t99)) % 15.91/16.14 (step-pop @p467 :rule scope :premises (@p439)) % 15.91/16.14 (step @p440 :rule process_scope :premises (@p467) :args (@t328)) % 15.91/16.14 (step @p442 :rule eq_resolve :premises (@p440 @p437)) % 15.91/16.14 (step @p443 :rule implies_elim :premises (@p442)) % 15.91/16.14 (step @p444 :rule chain_m_resolution :premises (@p443 @p431) :args (@t330 @t271 (@list @t322))) % 15.91/16.14 (step @p445 :rule cnf_and_pos :args (@t329 1)) % 15.91/16.14 (step @p446 :rule reordering :premises (@p445) :args ((or @t256 @t331))) % 15.91/16.14 (step @p447 :rule chain_m_resolution :premises (@p446 @p367) :args (@t331 @t254 (@list @t256))) % 15.91/16.14 (step @p448 :rule cnf_and_pos :args (@t324 1)) % 15.91/16.14 (step @p449 :rule reordering :premises (@p448) :args ((or @t261 @t332))) % 15.91/16.14 (step @p450 :rule chain_m_resolution :premises (@p449 @p347) :args (@t332 @t271 (@list @t260))) % 15.91/16.14 (step @p451 :rule cnf_or_pos :args (@t330)) % 15.91/16.14 (step @p452 :rule reordering :premises (@p451) :args ((or @t324 @t329 (not @t330)))) % 15.91/16.14 (step @p453 false :rule chain_m_resolution :premises (@p452 @p450 @p447 @p444) :args (false @t315 (@list @t324 @t329 @t330))) % 15.91/16.14 ) % 15.91/16.14 % SZS output end Proof % 15.91/16.14 % cvc5 exiting %------------------------------------------------------------------------------