%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX077_1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 09:07:05 AM UTC 2026 % Result : Theorem 0.44s 0.68s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX077_1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n004.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 22:55:37 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_ARI % 0.44/0.68 --- Run --finite-model-find --decision=internal at 45... % 0.44/0.68 % SZS status Theorem % 0.44/0.68 % SZS output start Proof % 0.44/0.68 ( % 0.44/0.68 (declare-sort tptp.symbol 0) % 0.44/0.68 (declare-sort tptp.general 0) % 0.44/0.68 (declare-const tptp.f__integer__ (-> Int tptp.general)) % 0.44/0.68 (declare-const tptp.covered (-> tptp.general Bool)) % 0.44/0.68 (declare-const tptp.p__is_integer__ (-> tptp.general Bool)) % 0.44/0.68 (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general)) % 0.44/0.68 (declare-const tptp.c__supremum__ tptp.general) % 0.44/0.68 (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool)) % 0.44/0.68 (declare-const tptp.in_cover (-> tptp.general Bool)) % 0.44/0.68 (declare-const tptp.c__infimum__ tptp.general) % 0.44/0.68 (declare-const tptp.covered_p (-> tptp.general Bool)) % 0.44/0.68 (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool)) % 0.44/0.68 (declare-const tptp.n_i Int) % 0.44/0.68 (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool)) % 0.44/0.68 (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool)) % 0.44/0.68 (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool)) % 0.44/0.68 (declare-const tptp.s (-> tptp.general tptp.general Bool)) % 0.44/0.68 (define @t1 () (@var "N" Int)) % 0.44/0.68 (define @t2 () (tptp.f__integer__ @t1)) % 0.44/0.68 (define @t3 () (@var "X" tptp.general)) % 0.44/0.68 (define @t4 () (@list @t1)) % 0.44/0.68 (define @t5 () (tptp.p__is_integer__ @t3)) % 0.44/0.68 (define @t6 () (@list @t3)) % 0.44/0.68 (define @t7 () (@var "X2" tptp.symbol)) % 0.44/0.68 (define @t8 () (@var "X1" tptp.general)) % 0.44/0.68 (define @t9 () (@var "N2" Int)) % 0.44/0.68 (define @t10 () (@var "N1" Int)) % 0.44/0.68 (define @t11 () (tptp.f__integer__ @t9)) % 0.44/0.68 (define @t12 () (tptp.f__integer__ @t10)) % 0.44/0.68 (define @t13 () (@list @t10 @t9)) % 0.44/0.68 (define @t14 () (@var "S2" tptp.symbol)) % 0.44/0.68 (define @t15 () (@var "S1" tptp.symbol)) % 0.44/0.68 (define @t16 () (@var "X2" tptp.general)) % 0.44/0.68 (define @t17 () (= @t8 @t16)) % 0.44/0.68 (define @t18 () (tptp.p__less_equal__ @t16 @t8)) % 0.44/0.68 (define @t19 () (tptp.p__less_equal__ @t8 @t16)) % 0.44/0.68 (define @t20 () (@list @t8 @t16)) % 0.44/0.68 (define @t21 () (@var "X3" tptp.general)) % 0.44/0.68 (define @t22 () (not @t17)) % 0.44/0.68 (define @t23 () (forall @t20 (= (tptp.p__less__ @t8 @t16) (and @t19 @t22)))) % 0.44/0.68 (define @t24 () (@var "S" tptp.symbol)) % 0.44/0.68 (define @t25 () (tptp.f__symbolic__ @t24)) % 0.44/0.68 (define @t26 () (@var "Z1_g" tptp.general)) % 0.44/0.68 (define @t27 () (@var "Z_g" tptp.general)) % 0.44/0.68 (define @t28 () (tptp.s @t27 @t26)) % 0.44/0.68 (define @t29 () (@var "I_g" tptp.general)) % 0.44/0.68 (define @t30 () (= @t26 @t29)) % 0.44/0.68 (define @t31 () (@var "X_g" tptp.general)) % 0.44/0.68 (define @t32 () (= @t27 @t31)) % 0.44/0.68 (define @t33 () (and @t32 @t30 @t28)) % 0.44/0.68 (define @t34 () (@list @t27 @t26)) % 0.44/0.68 (define @t35 () (exists @t34 @t33)) % 0.44/0.68 (define @t36 () (tptp.in_cover @t27)) % 0.44/0.68 (define @t37 () (= @t27 @t29)) % 0.44/0.68 (define @t38 () (and @t37 @t36)) % 0.44/0.68 (define @t39 () (@list @t27)) % 0.44/0.68 (define @t40 () (exists @t39 @t38)) % 0.44/0.68 (define @t41 () (@var "V1_g" tptp.general)) % 0.44/0.68 (define @t42 () (@list @t31 @t29)) % 0.44/0.68 (define @t43 () (exists @t42 (and (= @t41 @t31) @t40 @t35))) % 0.44/0.68 (define @t44 () (@list @t41)) % 0.44/0.68 (define @t45 () (@var "J_g" tptp.general)) % 0.44/0.68 (define @t46 () (= @t26 @t45)) % 0.44/0.68 (define @t47 () (and @t32 @t46 @t28)) % 0.44/0.68 (define @t48 () (exists @t34 @t47)) % 0.44/0.68 (define @t49 () (= @t27 @t45)) % 0.44/0.68 (define @t50 () (and @t49 @t36)) % 0.44/0.68 (define @t51 () (exists @t39 @t50)) % 0.44/0.68 (define @t52 () (tptp.p__less__ @t27 @t26)) % 0.44/0.68 (define @t53 () (and @t37 @t46 @t52)) % 0.44/0.68 (define @t54 () (exists @t34 @t53)) % 0.44/0.68 (define @t55 () (and @t54 @t40 @t51 @t35 @t48)) % 0.44/0.68 (define @t56 () (@list @t29 @t45 @t31)) % 0.44/0.68 (define @t57 () (forall @t56 (=> @t55 false))) % 0.44/0.68 (define @t58 () (tptp.in_cover @t41)) % 0.44/0.68 (define @t59 () (not (not @t58))) % 0.44/0.68 (define @t60 () (@var "J_i" Int)) % 0.44/0.68 (define @t61 () (@var "K_i" Int)) % 0.44/0.68 (define @t62 () (@var "I_i" Int)) % 0.44/0.68 (define @t63 () (tptp.f__integer__ @t61)) % 0.44/0.68 (define @t64 () (= @t41 @t63)) % 0.44/0.68 (define @t65 () (= @t60 tptp.n_i)) % 0.44/0.68 (define @t66 () (= @t62 1)) % 0.44/0.68 (define @t67 () (and @t66 @t65 @t64 (<= @t62 @t61) (<= @t61 @t60))) % 0.44/0.68 (define @t68 () (@list @t62 @t60 @t61)) % 0.44/0.68 (define @t69 () (exists @t68 @t67)) % 0.44/0.68 (define @t70 () (and @t69 true @t59)) % 0.44/0.68 (define @t71 () (= @t58 @t70)) % 0.44/0.68 (define @t72 () (forall @t44 @t71)) % 0.44/0.68 (define @t73 () (= @t27 @t26)) % 0.44/0.68 (define @t74 () (not @t73)) % 0.44/0.68 (define @t75 () (and @t37 @t46 @t74)) % 0.44/0.68 (define @t76 () (exists @t34 @t75)) % 0.44/0.68 (define @t77 () (and @t76 @t40 @t51 @t35 @t48)) % 0.44/0.68 (define @t78 () (forall @t56 (=> @t77 false))) % 0.44/0.68 (define @t79 () (not @t78)) % 0.44/0.68 (define @t80 () (tptp.s @t31 @t45)) % 0.44/0.68 (define @t81 () (not @t80)) % 0.44/0.68 (define @t82 () (tptp.s @t31 @t29)) % 0.44/0.68 (define @t83 () (not @t82)) % 0.44/0.68 (define @t84 () (tptp.in_cover @t45)) % 0.44/0.68 (define @t85 () (not @t84)) % 0.44/0.68 (define @t86 () (tptp.in_cover @t29)) % 0.44/0.68 (define @t87 () (not @t86)) % 0.44/0.68 (define @t88 () (tptp.p__less__ @t29 @t45)) % 0.44/0.68 (define @t89 () (not @t88)) % 0.44/0.68 (define @t90 () (or @t89 @t87 @t85 @t83 @t81)) % 0.44/0.68 (define @t91 () (or @t87 (or @t85 (or @t83 @t81)))) % 0.44/0.68 (define @t92 () (not (and @t86 @t84 @t82 @t80))) % 0.44/0.68 (define @t93 () (not (= @t45 @t45))) % 0.44/0.68 (define @t94 () (or @t93 @t81)) % 0.44/0.68 (define @t95 () (not (tptp.s @t31 @t26))) % 0.44/0.68 (define @t96 () (not @t46)) % 0.44/0.68 (define @t97 () (or @t96 @t96 @t95)) % 0.44/0.68 (define @t98 () (@list @t26)) % 0.44/0.68 (define @t99 () (or @t96 @t95)) % 0.44/0.68 (define @t100 () (not (= @t31 @t31))) % 0.44/0.68 (define @t101 () (or @t100 @t96 @t95)) % 0.44/0.68 (define @t102 () (not @t28)) % 0.44/0.68 (define @t103 () (= @t31 @t27)) % 0.44/0.68 (define @t104 () (not @t103)) % 0.44/0.68 (define @t105 () (not @t32)) % 0.44/0.68 (define @t106 () (or @t104 @t104 @t96 @t102)) % 0.44/0.68 (define @t107 () (or @t104 @t96 @t102)) % 0.44/0.68 (define @t108 () (forall @t39 @t107)) % 0.44/0.68 (define @t109 () (forall @t98 @t108)) % 0.44/0.68 (define @t110 () (@list @t26 @t27)) % 0.44/0.68 (define @t111 () (forall @t110 @t107)) % 0.44/0.68 (define @t112 () (and @t103 @t46 @t28)) % 0.44/0.68 (define @t113 () (forall @t34 (not @t112))) % 0.44/0.68 (define @t114 () (not @t113)) % 0.44/0.68 (define @t115 () (not (= @t29 @t29))) % 0.44/0.68 (define @t116 () (or @t115 @t83)) % 0.44/0.68 (define @t117 () (= @t29 @t26)) % 0.44/0.68 (define @t118 () (not @t117)) % 0.44/0.68 (define @t119 () (or @t118 @t118 @t95)) % 0.44/0.68 (define @t120 () (or @t118 @t95)) % 0.44/0.68 (define @t121 () (or @t100 @t118 @t95)) % 0.44/0.68 (define @t122 () (or @t104 @t104 @t118 @t102)) % 0.44/0.68 (define @t123 () (or @t104 @t118 @t102)) % 0.44/0.68 (define @t124 () (forall @t39 @t123)) % 0.44/0.68 (define @t125 () (forall @t98 @t124)) % 0.44/0.68 (define @t126 () (forall @t110 @t123)) % 0.44/0.68 (define @t127 () (and @t103 @t117 @t28)) % 0.44/0.68 (define @t128 () (forall @t34 (not @t127))) % 0.44/0.68 (define @t129 () (not @t128)) % 0.44/0.68 (define @t130 () (or @t93 @t85)) % 0.44/0.68 (define @t131 () (not @t36)) % 0.44/0.68 (define @t132 () (not @t49)) % 0.44/0.68 (define @t133 () (or @t132 @t132 @t131)) % 0.44/0.68 (define @t134 () (or @t132 @t131)) % 0.44/0.68 (define @t135 () (forall @t39 (not @t50))) % 0.44/0.68 (define @t136 () (not @t135)) % 0.44/0.68 (define @t137 () (or @t115 @t87)) % 0.44/0.68 (define @t138 () (= @t29 @t27)) % 0.44/0.68 (define @t139 () (not @t138)) % 0.44/0.68 (define @t140 () (not @t37)) % 0.44/0.68 (define @t141 () (or @t139 @t139 @t131)) % 0.44/0.68 (define @t142 () (or @t139 @t131)) % 0.44/0.68 (define @t143 () (and @t138 @t36)) % 0.44/0.68 (define @t144 () (forall @t39 (not @t143))) % 0.44/0.68 (define @t145 () (not @t144)) % 0.44/0.68 (define @t146 () (or @t93 @t89)) % 0.44/0.68 (define @t147 () (not (tptp.p__less__ @t29 @t26))) % 0.44/0.68 (define @t148 () (or @t96 @t96 @t147)) % 0.44/0.68 (define @t149 () (or @t96 @t147)) % 0.44/0.68 (define @t150 () (or @t115 @t96 @t147)) % 0.44/0.68 (define @t151 () (not @t52)) % 0.44/0.68 (define @t152 () (or @t139 @t139 @t96 @t151)) % 0.44/0.68 (define @t153 () (or @t139 @t96 @t151)) % 0.44/0.68 (define @t154 () (forall @t39 @t153)) % 0.44/0.68 (define @t155 () (forall @t98 @t154)) % 0.44/0.68 (define @t156 () (forall @t110 @t153)) % 0.44/0.68 (define @t157 () (and @t138 @t46 @t52)) % 0.44/0.68 (define @t158 () (forall @t34 (not @t157))) % 0.44/0.68 (define @t159 () (not @t158)) % 0.44/0.68 (define @t160 () (= @t29 @t45)) % 0.44/0.68 (define @t161 () (forall @t56 (or @t160 @t87 @t85 @t83 @t81))) % 0.44/0.68 (define @t162 () (@quantifiers_skolemize @t161 1)) % 0.44/0.68 (define @t163 () (@quantifiers_skolemize @t161 0)) % 0.44/0.68 (define @t164 () (not (= @t162 @t163))) % 0.44/0.68 (define @t165 () (tptp.p__less_equal__ @t162 @t163)) % 0.44/0.68 (define @t166 () (and @t165 @t164)) % 0.44/0.68 (define @t167 () (tptp.p__less__ @t162 @t163)) % 0.44/0.68 (define @t168 () (= @t167 @t166)) % 0.44/0.68 (define @t169 () (= @t163 @t162)) % 0.44/0.68 (define @t170 () (not @t169)) % 0.44/0.68 (define @t171 () (and @t165 @t170)) % 0.44/0.68 (define @t172 () (= @t167 @t171)) % 0.44/0.68 (define @t173 () (@list false)) % 0.44/0.68 (define @t174 () (* -1 @t61)) % 0.44/0.68 (define @t175 () (not (>= (+ tptp.n_i @t174) 0))) % 0.44/0.68 (define @t176 () (not (>= @t61 1))) % 0.44/0.68 (define @t177 () (@list @t61)) % 0.44/0.68 (define @t178 () (forall @t177 (or (not (= @t63 @t162)) @t176 @t175))) % 0.44/0.68 (define @t179 () (@quantifiers_skolemize @t178 0)) % 0.44/0.68 (define @t180 () (tptp.f__integer__ @t179)) % 0.44/0.68 (define @t181 () (@quantifiers_skolemize @t161 2)) % 0.44/0.68 (define @t182 () (not @t160)) % 0.44/0.68 (define @t183 () (not @t182)) % 0.44/0.68 (define @t184 () (or @t183 @t87 @t85 @t83 @t81)) % 0.44/0.68 (define @t185 () (or @t93 @t160)) % 0.44/0.68 (define @t186 () (or @t96 @t96 @t117)) % 0.44/0.68 (define @t187 () (or @t96 @t117)) % 0.44/0.68 (define @t188 () (or @t115 @t96 @t117)) % 0.44/0.68 (define @t189 () (or @t139 @t139 @t96 @t73)) % 0.44/0.68 (define @t190 () (or @t139 @t96 @t73)) % 0.44/0.68 (define @t191 () (forall @t39 @t190)) % 0.44/0.68 (define @t192 () (forall @t98 @t191)) % 0.44/0.68 (define @t193 () (forall @t110 @t190)) % 0.44/0.68 (define @t194 () (not @t74)) % 0.44/0.68 (define @t195 () (or @t139 @t96 @t194)) % 0.44/0.68 (define @t196 () (and @t138 @t46 @t74)) % 0.44/0.68 (define @t197 () (forall @t34 (not @t196))) % 0.44/0.68 (define @t198 () (not @t197)) % 0.44/0.68 (define @t199 () (tptp.s @t181 @t162)) % 0.44/0.68 (define @t200 () (not @t199)) % 0.44/0.68 (define @t201 () (tptp.s @t181 @t163)) % 0.44/0.68 (define @t202 () (not @t201)) % 0.44/0.68 (define @t203 () (tptp.in_cover @t162)) % 0.44/0.68 (define @t204 () (not @t203)) % 0.44/0.68 (define @t205 () (tptp.in_cover @t163)) % 0.44/0.68 (define @t206 () (not @t205)) % 0.44/0.68 (define @t207 () (or @t169 @t206 @t204 @t202 @t200)) % 0.44/0.68 (define @t208 () (@list true)) % 0.44/0.68 (define @t209 () (@list @t207)) % 0.44/0.68 (define @t210 () (not @t64)) % 0.44/0.68 (define @t211 () (or @t210 @t176 @t175)) % 0.44/0.68 (define @t212 () (not (= tptp.n_i tptp.n_i))) % 0.44/0.68 (define @t213 () (or @t212 @t210 @t176 @t175)) % 0.44/0.68 (define @t214 () (+ @t60 @t174)) % 0.44/0.68 (define @t215 () (>= @t214 0)) % 0.44/0.68 (define @t216 () (not @t215)) % 0.44/0.68 (define @t217 () (= tptp.n_i @t60)) % 0.44/0.68 (define @t218 () (not @t217)) % 0.44/0.68 (define @t219 () (@list @t60)) % 0.44/0.68 (define @t220 () (* 1 (- @t60 tptp.n_i))) % 0.44/0.68 (define @t221 () (* -1 (- tptp.n_i @t60))) % 0.44/0.68 (define @t222 () (or @t218 @t218 @t210 @t176 @t216)) % 0.44/0.68 (define @t223 () (or @t218 @t210 @t176 @t216)) % 0.44/0.68 (define @t224 () (forall @t219 @t223)) % 0.44/0.68 (define @t225 () (forall @t177 @t224)) % 0.44/0.68 (define @t226 () (forall (@list @t61 @t60) @t223)) % 0.44/0.68 (define @t227 () (@list @t60 @t61)) % 0.44/0.68 (define @t228 () (+ 1 @t174)) % 0.44/0.68 (define @t229 () (+ @t61 1)) % 0.44/0.68 (define @t230 () (>= @t228 1)) % 0.44/0.68 (define @t231 () (= 1 1)) % 0.44/0.68 (define @t232 () (not @t231)) % 0.44/0.68 (define @t233 () (or @t232 @t218 @t210 @t230 @t216)) % 0.44/0.68 (define @t234 () (+ @t62 @t174)) % 0.44/0.68 (define @t235 () (>= @t234 1)) % 0.44/0.68 (define @t236 () (not @t66)) % 0.44/0.68 (define @t237 () (or @t236 @t236 @t218 @t210 @t235 @t216)) % 0.44/0.68 (define @t238 () (@list @t62)) % 0.44/0.68 (define @t239 () (or @t236 @t218 @t210 @t235 @t216)) % 0.44/0.68 (define @t240 () (forall @t238 @t239)) % 0.44/0.68 (define @t241 () (forall @t227 @t240)) % 0.44/0.68 (define @t242 () (forall (@list @t60 @t61 @t62) @t239)) % 0.44/0.68 (define @t243 () (not @t235)) % 0.44/0.68 (define @t244 () (not @t243)) % 0.44/0.68 (define @t245 () (or @t236 @t218 @t210 @t244 @t216)) % 0.44/0.68 (define @t246 () (and @t66 @t217 @t64 @t243 @t215)) % 0.44/0.68 (define @t247 () (forall @t68 (not @t246))) % 0.44/0.68 (define @t248 () (not @t247)) % 0.44/0.68 (define @t249 () (>= @t62 @t229)) % 0.44/0.68 (define @t250 () (and @t69 @t59)) % 0.44/0.68 (define @t251 () (not (= @t162 @t63))) % 0.44/0.68 (define @t252 () (or @t251 @t176 @t175)) % 0.44/0.68 (define @t253 () (forall @t177 @t252)) % 0.44/0.68 (define @t254 () (not @t253)) % 0.44/0.68 (define @t255 () (and @t254 @t203)) % 0.44/0.68 (define @t256 () (= @t203 @t255)) % 0.44/0.68 (define @t257 () (forall @t44 (= @t58 (and (not (forall @t177 @t211)) @t58)))) % 0.44/0.68 (define @t258 () (not @t178)) % 0.44/0.68 (define @t259 () (and @t258 @t203)) % 0.44/0.68 (define @t260 () (= @t203 @t259)) % 0.44/0.68 (define @t261 () (@list false false)) % 0.44/0.68 (define @t262 () (not (>= (+ tptp.n_i (* -1 @t179)) 0))) % 0.44/0.68 (define @t263 () (not (>= @t179 1))) % 0.44/0.68 (define @t264 () (= @t162 @t180)) % 0.44/0.68 (define @t265 () (not @t264)) % 0.44/0.68 (define @t266 () (or @t265 @t263 @t262)) % 0.44/0.68 (define @t267 () (not @t266)) % 0.44/0.68 (define @t268 () (not (= @t180 @t162))) % 0.44/0.68 (define @t269 () (or @t268 @t263 @t262)) % 0.44/0.68 (define @t270 () (not @t269)) % 0.44/0.68 (define @t271 () (tptp.s @t181 @t180)) % 0.44/0.68 (define @t272 () (tptp.in_cover @t180)) % 0.44/0.68 (define @t273 () (not @t271)) % 0.44/0.68 (define @t274 () (not @t272)) % 0.44/0.68 (define @t275 () (tptp.p__less__ @t163 @t180)) % 0.44/0.68 (define @t276 () (not @t275)) % 0.44/0.68 (define @t277 () (or @t276 @t206 @t274 @t202 @t273)) % 0.44/0.68 (define @t278 () (@list false false false false false)) % 0.44/0.68 (define @t279 () (= @t163 @t180)) % 0.44/0.68 (define @t280 () (not @t279)) % 0.44/0.68 (define @t281 () (tptp.p__less_equal__ @t163 @t180)) % 0.44/0.68 (define @t282 () (and @t281 @t280)) % 0.44/0.68 (define @t283 () (= @t275 @t282)) % 0.44/0.68 (define @t284 () (not @t282)) % 0.44/0.68 (define @t285 () (@list true false)) % 0.44/0.68 (define @t286 () (not @t281)) % 0.44/0.68 (define @t287 () (tptp.p__less_equal__ @t163 @t162)) % 0.44/0.68 (define @t288 () (or @t287 @t165)) % 0.44/0.68 (define @t289 () (not @t165)) % 0.44/0.68 (define @t290 () (not @t167)) % 0.44/0.68 (define @t291 () (or @t290 @t204 @t206 @t200 @t202)) % 0.44/0.68 (define @t292 () (not @t291)) % 0.44/0.68 (define @t293 () (forall @t56 @t90)) % 0.44/0.68 (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2))))) % 0.44/0.68 (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7)))))) % 0.44/0.68 (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__)))) % 0.44/0.68 (assume @p4 (forall @t13 (= (= @t12 @t11) (= @t10 @t9)))) % 0.44/0.68 (assume @p5 (forall (@list @t15 @t14) (= (= (tptp.f__symbolic__ @t15) (tptp.f__symbolic__ @t14)) (= @t15 @t14)))) % 0.44/0.68 (assume @p6 (forall @t13 (= (tptp.p__less_equal__ @t12 @t11) (<= @t10 @t9)))) % 0.44/0.68 (assume @p7 (forall @t20 (=> (and @t19 @t18) @t17))) % 0.44/0.68 (assume @p8 (forall (@list @t8 @t16 @t21) (=> (and @t19 (tptp.p__less_equal__ @t16 @t21)) (tptp.p__less_equal__ @t8 @t21)))) % 0.44/0.68 (assume @p9 (forall @t20 (or @t19 @t18))) % 0.44/0.68 (assume @p10 @t23) % 0.44/0.68 (assume @p11 (forall @t20 (= (tptp.p__greater_equal__ @t8 @t16) @t18))) % 0.44/0.68 (assume @p12 (forall @t20 (= (tptp.p__greater__ @t8 @t16) (and @t18 @t22)))) % 0.44/0.68 (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2))) % 0.44/0.68 (assume @p14 (forall (@list @t1 @t24) (tptp.p__less__ @t2 @t25))) % 0.44/0.68 (assume @p15 (forall (@list @t24) (tptp.p__less__ @t25 tptp.c__supremum__))) % 0.44/0.68 (assume @p16 (>= tptp.n_i 0)) % 0.44/0.68 (assume @p17 (forall @t44 (= (tptp.covered @t41) @t43))) % 0.44/0.68 (assume @p18 (forall @t44 (= (tptp.covered_p @t41) @t43))) % 0.44/0.68 (assume @p19 @t57) % 0.44/0.68 (assume @p20 (forall @t42 (=> (and @t35 (exists @t39 (and @t32 (not (tptp.covered_p @t27))))) false))) % 0.44/0.68 (assume @p21 @t72) % 0.44/0.68 (assume @p22 @t79) % 0.44/0.68 (assume @p23 true) % 0.44/0.68 (step @p24 :rule aci_norm :args ((= (or @t89 @t91) @t90))) % 0.44/0.68 (step @p25 :rule bool-and-de-morgan :args (@t82 @t80 true)) % 0.44/0.68 (step @p26 :rule refl :args (@t85)) % 0.44/0.68 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t85 (not (and @t82 @t80))))) % 0.44/0.68 (step @p28 :rule bool-and-de-morgan :args (@t84 @t82 (and @t80))) % 0.44/0.68 (step @p29 :rule trans :premises (@p28 @p27)) % 0.44/0.68 (step @p30 :rule refl :args (@t87)) % 0.44/0.68 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t87 (not (and @t84 @t82 @t80))))) % 0.44/0.68 (step @p32 :rule bool-and-de-morgan :args (@t86 @t84 (and @t82 @t80))) % 0.44/0.68 (step @p33 :rule trans :premises (@p32 @p31)) % 0.44/0.68 (step @p34 :rule refl :args (@t89)) % 0.44/0.68 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t89 @t92))) % 0.44/0.68 (step @p36 :rule bool-and-de-morgan :args (@t88 @t86 (and @t84 @t82 @t80))) % 0.44/0.68 (step @p37 :rule trans :premises (@p36 @p35)) % 0.44/0.68 (step @p38 :rule trans :premises (@p37 @p24)) % 0.44/0.68 (step @p39 :rule cong :premises (@p38) :args ((forall @t56 (not (and @t88 @t86 @t84 @t82 @t80))))) % 0.44/0.68 (step @p40 :rule bool-double-not-elim :args (@t80)) % 0.44/0.68 (step @p41 :rule aci_norm :args ((= (or false @t81) @t81))) % 0.44/0.68 (step @p42 :rule refl :args (@t81)) % 0.44/0.68 (step @p43 :rule evaluate :args ((not true))) % 0.44/0.68 (step @p44 :rule eq-refl :args (@t45)) % 0.44/0.68 (step @p45 :rule cong :premises (@p44) :args (@t93)) % 0.44/0.68 (step @p46 :rule trans :premises (@p45 @p43)) % 0.44/0.68 (step @p47 :rule nary_cong :premises (@p46 @p42) :args (@t94)) % 0.44/0.68 (step @p48 :rule trans :premises (@p47 @p41)) % 0.44/0.68 (step @p49 :rule quant-var-elim-eq :args ((= (forall @t98 @t97) @t94))) % 0.44/0.68 (step @p50 :rule aci_norm :args ((= @t99 @t97))) % 0.44/0.68 (step @p51 :rule cong :premises (@p50) :args ((forall @t98 @t99))) % 0.44/0.68 (step @p52 :rule trans :premises (@p51 @p49)) % 0.44/0.68 (step @p53 :rule trans :premises (@p52 @p48)) % 0.44/0.68 (step @p54 :rule aci_norm :args ((= (or false @t96 @t95) @t99))) % 0.44/0.68 (step @p55 :rule refl :args (@t95)) % 0.44/0.68 (step @p56 :rule refl :args (@t96)) % 0.44/0.68 (step @p57 :rule eq-refl :args (@t31)) % 0.44/0.68 (step @p58 :rule cong :premises (@p57) :args (@t100)) % 0.44/0.68 (step @p59 :rule trans :premises (@p58 @p43)) % 0.44/0.68 (step @p60 :rule nary_cong :premises (@p59 @p56 @p55) :args (@t101)) % 0.44/0.68 (step @p61 :rule trans :premises (@p60 @p54)) % 0.44/0.68 (step @p62 :rule cong :premises (@p61) :args ((forall @t98 @t101))) % 0.44/0.68 (step @p63 :rule trans :premises (@p62 @p53)) % 0.44/0.68 (step @p64 :rule quant-var-elim-eq :args ((= (forall @t39 (or @t105 @t104 @t96 @t102)) @t101))) % 0.44/0.68 (step @p65 :rule refl :args (@t102)) % 0.44/0.68 (step @p66 :rule refl :args (@t96)) % 0.44/0.68 (step @p67 :rule refl :args (@t104)) % 0.44/0.68 (step @p68 :rule eq-symm :args (@t31 @t27)) % 0.44/0.68 (step @p69 :rule cong :premises (@p68) :args (@t104)) % 0.44/0.68 (step @p70 :rule nary_cong :premises (@p69 @p67 @p66 @p65) :args (@t106)) % 0.44/0.68 (step @p71 :rule aci_norm :args ((= @t107 @t106))) % 0.44/0.68 (step @p72 :rule trans :premises (@p71 @p70)) % 0.44/0.68 (step @p73 :rule cong :premises (@p72) :args (@t108)) % 0.44/0.68 (step @p74 :rule trans :premises (@p73 @p64)) % 0.44/0.68 (step @p75 :rule cong :premises (@p74) :args (@t109)) % 0.44/0.68 (step @p76 :rule quant-merge-prenex :args ((= @t109 @t111))) % 0.44/0.68 (step @p77 :rule symm :premises (@p76)) % 0.44/0.68 (step @p78 :rule quant_var_reordering :args ((= (forall @t34 @t107) @t111))) % 0.44/0.68 (step @p79 :rule trans :premises (@p78 @p77 @p75)) % 0.44/0.68 (step @p80 :rule trans :premises (@p79 @p63)) % 0.44/0.68 (step @p81 :rule aci_norm :args ((= (or @t104 (or @t96 @t102)) @t107))) % 0.44/0.68 (step @p82 :rule bool-and-de-morgan :args (@t46 @t28 true)) % 0.44/0.68 (step @p83 :rule nary_cong :premises (@p67 @p82) :args ((or @t104 (not (and @t46 @t28))))) % 0.44/0.68 (step @p84 :rule bool-and-de-morgan :args (@t103 @t46 (and @t28))) % 0.44/0.68 (step @p85 :rule trans :premises (@p84 @p83)) % 0.44/0.68 (step @p86 :rule trans :premises (@p85 @p81)) % 0.44/0.68 (step @p87 :rule cong :premises (@p86) :args (@t113)) % 0.44/0.68 (step @p88 :rule trans :premises (@p87 @p80)) % 0.44/0.68 (step @p89 :rule cong :premises (@p88) :args (@t114)) % 0.44/0.68 (step @p90 :rule trans :premises (@p89 @p40)) % 0.44/0.68 (step @p91 :rule exists-elim :args ((= (exists @t34 @t112) @t114))) % 0.44/0.68 (step @p92 :rule trans :premises (@p91 @p90)) % 0.44/0.68 (step @p93 :rule refl :args (@t28)) % 0.44/0.68 (step @p94 :rule refl :args (@t46)) % 0.44/0.68 (step @p95 :rule eq-symm :args (@t27 @t31)) % 0.44/0.68 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93) :args (@t47)) % 0.44/0.68 (step @p97 :rule cong :premises (@p96) :args (@t48)) % 0.44/0.68 (step @p98 :rule trans :premises (@p97 @p92)) % 0.44/0.68 (step @p99 :rule bool-double-not-elim :args (@t82)) % 0.44/0.68 (step @p100 :rule aci_norm :args ((= (or false @t83) @t83))) % 0.44/0.68 (step @p101 :rule refl :args (@t83)) % 0.44/0.68 (step @p102 :rule eq-refl :args (@t29)) % 0.44/0.68 (step @p103 :rule cong :premises (@p102) :args (@t115)) % 0.44/0.68 (step @p104 :rule trans :premises (@p103 @p43)) % 0.44/0.68 (step @p105 :rule nary_cong :premises (@p104 @p101) :args (@t116)) % 0.44/0.68 (step @p106 :rule trans :premises (@p105 @p100)) % 0.44/0.68 (step @p107 :rule quant-var-elim-eq :args ((= (forall @t98 (or (not @t30) @t118 @t95)) @t116))) % 0.44/0.68 (step @p108 :rule refl :args (@t95)) % 0.44/0.68 (step @p109 :rule refl :args (@t118)) % 0.44/0.68 (step @p110 :rule eq-symm :args (@t29 @t26)) % 0.44/0.68 (step @p111 :rule cong :premises (@p110) :args (@t118)) % 0.44/0.68 (step @p112 :rule nary_cong :premises (@p111 @p109 @p108) :args (@t119)) % 0.44/0.68 (step @p113 :rule aci_norm :args ((= @t120 @t119))) % 0.44/0.68 (step @p114 :rule trans :premises (@p113 @p112)) % 0.44/0.68 (step @p115 :rule cong :premises (@p114) :args ((forall @t98 @t120))) % 0.44/0.68 (step @p116 :rule trans :premises (@p115 @p107)) % 0.44/0.68 (step @p117 :rule trans :premises (@p116 @p106)) % 0.44/0.68 (step @p118 :rule aci_norm :args ((= (or false @t118 @t95) @t120))) % 0.44/0.68 (step @p119 :rule refl :args (@t118)) % 0.44/0.68 (step @p120 :rule nary_cong :premises (@p59 @p119 @p55) :args (@t121)) % 0.44/0.68 (step @p121 :rule trans :premises (@p120 @p118)) % 0.44/0.68 (step @p122 :rule cong :premises (@p121) :args ((forall @t98 @t121))) % 0.44/0.68 (step @p123 :rule trans :premises (@p122 @p117)) % 0.44/0.68 (step @p124 :rule quant-var-elim-eq :args ((= (forall @t39 (or @t105 @t104 @t118 @t102)) @t121))) % 0.44/0.68 (step @p125 :rule nary_cong :premises (@p69 @p67 @p109 @p65) :args (@t122)) % 0.44/0.68 (step @p126 :rule aci_norm :args ((= @t123 @t122))) % 0.44/0.68 (step @p127 :rule trans :premises (@p126 @p125)) % 0.44/0.68 (step @p128 :rule cong :premises (@p127) :args (@t124)) % 0.44/0.68 (step @p129 :rule trans :premises (@p128 @p124)) % 0.44/0.68 (step @p130 :rule cong :premises (@p129) :args (@t125)) % 0.44/0.68 (step @p131 :rule quant-merge-prenex :args ((= @t125 @t126))) % 0.44/0.68 (step @p132 :rule symm :premises (@p131)) % 0.44/0.68 (step @p133 :rule quant_var_reordering :args ((= (forall @t34 @t123) @t126))) % 0.44/0.68 (step @p134 :rule trans :premises (@p133 @p132 @p130)) % 0.44/0.68 (step @p135 :rule trans :premises (@p134 @p123)) % 0.44/0.68 (step @p136 :rule aci_norm :args ((= (or @t104 (or @t118 @t102)) @t123))) % 0.44/0.68 (step @p137 :rule bool-and-de-morgan :args (@t117 @t28 true)) % 0.44/0.68 (step @p138 :rule nary_cong :premises (@p67 @p137) :args ((or @t104 (not (and @t117 @t28))))) % 0.44/0.68 (step @p139 :rule bool-and-de-morgan :args (@t103 @t117 (and @t28))) % 0.44/0.68 (step @p140 :rule trans :premises (@p139 @p138)) % 0.44/0.68 (step @p141 :rule trans :premises (@p140 @p136)) % 0.44/0.68 (step @p142 :rule cong :premises (@p141) :args (@t128)) % 0.44/0.68 (step @p143 :rule trans :premises (@p142 @p135)) % 0.44/0.68 (step @p144 :rule cong :premises (@p143) :args (@t129)) % 0.44/0.68 (step @p145 :rule trans :premises (@p144 @p99)) % 0.44/0.68 (step @p146 :rule exists-elim :args ((= (exists @t34 @t127) @t129))) % 0.44/0.68 (step @p147 :rule trans :premises (@p146 @p145)) % 0.44/0.68 (step @p148 :rule eq-symm :args (@t26 @t29)) % 0.44/0.68 (step @p149 :rule nary_cong :premises (@p95 @p148 @p93) :args (@t33)) % 0.44/0.68 (step @p150 :rule cong :premises (@p149) :args (@t35)) % 0.44/0.68 (step @p151 :rule trans :premises (@p150 @p147)) % 0.44/0.68 (step @p152 :rule bool-double-not-elim :args (@t84)) % 0.44/0.68 (step @p153 :rule aci_norm :args ((= (or false @t85) @t85))) % 0.44/0.68 (step @p154 :rule refl :args (@t85)) % 0.44/0.68 (step @p155 :rule nary_cong :premises (@p46 @p154) :args (@t130)) % 0.44/0.68 (step @p156 :rule trans :premises (@p155 @p153)) % 0.44/0.68 (step @p157 :rule quant-var-elim-eq :args ((= (forall @t39 @t133) @t130))) % 0.44/0.68 (step @p158 :rule aci_norm :args ((= @t134 @t133))) % 0.44/0.68 (step @p159 :rule cong :premises (@p158) :args ((forall @t39 @t134))) % 0.44/0.68 (step @p160 :rule trans :premises (@p159 @p157)) % 0.44/0.68 (step @p161 :rule trans :premises (@p160 @p156)) % 0.44/0.68 (step @p162 :rule bool-and-de-morgan :args (@t49 @t36 true)) % 0.44/0.68 (step @p163 :rule cong :premises (@p162) :args (@t135)) % 0.44/0.68 (step @p164 :rule trans :premises (@p163 @p161)) % 0.44/0.68 (step @p165 :rule cong :premises (@p164) :args (@t136)) % 0.44/0.68 (step @p166 :rule trans :premises (@p165 @p152)) % 0.44/0.68 (step @p167 :rule exists-elim :args ((= @t51 @t136))) % 0.44/0.68 (step @p168 :rule trans :premises (@p167 @p166)) % 0.44/0.68 (step @p169 :rule bool-double-not-elim :args (@t86)) % 0.44/0.68 (step @p170 :rule aci_norm :args ((= (or false @t87) @t87))) % 0.44/0.68 (step @p171 :rule refl :args (@t87)) % 0.44/0.68 (step @p172 :rule nary_cong :premises (@p104 @p171) :args (@t137)) % 0.44/0.68 (step @p173 :rule trans :premises (@p172 @p170)) % 0.44/0.68 (step @p174 :rule quant-var-elim-eq :args ((= (forall @t39 (or @t140 @t139 @t131)) @t137))) % 0.44/0.68 (step @p175 :rule refl :args (@t131)) % 0.44/0.68 (step @p176 :rule refl :args (@t139)) % 0.44/0.68 (step @p177 :rule eq-symm :args (@t29 @t27)) % 0.44/0.68 (step @p178 :rule cong :premises (@p177) :args (@t139)) % 0.44/0.68 (step @p179 :rule nary_cong :premises (@p178 @p176 @p175) :args (@t141)) % 0.44/0.68 (step @p180 :rule aci_norm :args ((= @t142 @t141))) % 0.44/0.68 (step @p181 :rule trans :premises (@p180 @p179)) % 0.44/0.68 (step 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:premises (@p435 @p434)) % 0.44/0.68 (step @p437 :rule refl :args (@t58)) % 0.44/0.68 (step @p438 :rule cong :premises (@p437 @p436) :args (@t71)) % 0.44/0.68 (step @p439 :rule cong :premises (@p438) :args (@t72)) % 0.44/0.68 (step @p440 :rule eq_resolve :premises (@p21 @p439)) % 0.44/0.68 (step @p441 :rule refl :args (@t203)) % 0.44/0.68 (step @p442 :rule eq-symm :args (@t162 @t63)) % 0.44/0.68 (step @p443 :rule cong :premises (@p442) :args (@t251)) % 0.44/0.68 (step @p444 :rule nary_cong :premises (@p443 @p345 @p344) :args (@t252)) % 0.44/0.68 (step @p445 :rule cong :premises (@p444) :args (@t253)) % 0.44/0.68 (step @p446 :rule cong :premises (@p445) :args (@t254)) % 0.44/0.68 (step @p447 :rule nary_cong :premises (@p446 @p441) :args (@t255)) % 0.44/0.68 (step @p448 :rule cong :premises (@p441 @p447) :args (@t256)) % 0.44/0.68 (step @p449 :rule refl :args (@t257)) % 0.44/0.68 (step @p450 :rule cong :premises (@p449 @p448) :args ((=> @t257 @t256))) % 0.44/0.68 (assume-push @p567 @t257) % 0.44/0.68 (step @p452 :rule instantiate :premises (@p440) :args ((@list @t162))) % 0.44/0.68 (step-pop @p568 :rule scope :premises (@p452)) % 0.44/0.68 (step @p453 :rule process_scope :premises (@p568) :args (@t256)) % 0.44/0.68 (step @p455 :rule eq_resolve :premises (@p453 @p450)) % 0.44/0.68 (step @p456 :rule implies_elim :premises (@p455)) % 0.44/0.68 (step @p457 :rule chain_m_resolution :premises (@p456 @p440) :args (@t260 @t173 (@list @t257))) % 0.44/0.68 (step @p458 :rule bool-double-not-elim :args (@t203)) % 0.44/0.68 (step @p459 :rule nary_cong :premises (@p335 @p458) :args ((or @t207 (not @t204)))) % 0.44/0.68 (step @p460 :rule cnf_or_neg :args (@t207 2)) % 0.44/0.68 (step @p461 :rule eq_resolve :premises (@p460 @p459)) % 0.44/0.68 (step @p462 :rule reordering :premises (@p461) :args ((or @t203 @t207))) % 0.44/0.68 (step @p463 :rule chain_m_resolution :premises (@p462 @p333) :args (@t203 @t208 @t209)) % 0.44/0.68 (step @p464 :rule cnf_equiv_pos1 :args (@t260)) % 0.44/0.68 (step @p465 :rule reordering :premises (@p464) :args ((or @t204 @t259 (not @t260)))) % 0.44/0.68 (step @p466 :rule chain_m_resolution :premises (@p465 @p463 @p457) :args (@t259 @t261 (@list @t203 @t260))) % 0.44/0.68 (step @p467 :rule cnf_and_pos :args (@t259 0)) % 0.44/0.68 (step @p468 :rule reordering :premises (@p467) :args ((or @t258 (not @t259)))) % 0.44/0.68 (step @p469 :rule chain_m_resolution :premises (@p468 @p466) :args (@t258 @t173 (@list @t259))) % 0.44/0.68 (step @p470 :rule refl :args (@t267)) % 0.44/0.68 (step @p471 :rule bool-double-not-elim :args (@t178)) % 0.44/0.68 (step @p472 :rule nary_cong :premises (@p471 @p470) :args ((or (not @t258) @t267))) % 0.44/0.68 (step @p473 :rule refl :args (@t262)) % 0.44/0.68 (step @p474 :rule refl :args (@t263)) % 0.44/0.68 (step @p475 :rule eq-symm :args (@t180 @t162)) % 0.44/0.68 (step @p476 :rule cong :premises (@p475) :args (@t268)) % 0.44/0.68 (step @p477 :rule nary_cong :premises (@p476 @p474 @p473) :args (@t269)) % 0.44/0.68 (step @p478 :rule cong :premises (@p477) :args (@t270)) % 0.44/0.68 (step @p479 :rule refl :args (@t258)) % 0.44/0.68 (step @p480 :rule cong :premises (@p479 @p478) :args ((=> @t258 @t270))) % 0.44/0.68 (assume-push @p569 @t258) % 0.44/0.68 (step @p482 :rule skolemize :premises (@p469)) % 0.44/0.68 (step-pop @p570 :rule scope :premises (@p482)) % 0.44/0.68 (step @p483 :rule process_scope :premises (@p570) :args (@t270)) % 0.44/0.68 (step @p485 :rule eq_resolve :premises (@p483 @p480)) % 0.44/0.68 (step @p486 :rule implies_elim :premises (@p485)) % 0.44/0.68 (step @p487 :rule eq_resolve :premises (@p486 @p472)) % 0.44/0.68 (step @p488 :rule chain_m_resolution :premises (@p487 @p469) :args (@t267 @t208 (@list @t178))) % 0.44/0.68 (step @p489 :rule bool-double-not-elim :args (@t264)) % 0.44/0.68 (step @p490 :rule refl :args (@t266)) % 0.44/0.68 (step @p491 :rule nary_cong :premises (@p490 @p489) :args ((or @t266 (not @t265)))) % 0.44/0.68 (step @p492 :rule cnf_or_neg :args (@t266 0)) % 0.44/0.68 (step @p493 :rule eq_resolve :premises (@p492 @p491)) % 0.44/0.68 (step @p494 :rule reordering :premises (@p493) :args ((or @t264 @t266))) % 0.44/0.68 (step @p495 :rule chain_m_resolution :premises (@p494 @p488) :args (@t264 @t208 (@list @t266))) % 0.44/0.68 (step @p496 :rule symm :premises (@p495)) % 0.44/0.68 (step @p497 :rule refl :args (@t181)) % 0.44/0.68 (step @p498 :rule cong :premises (@p497 @p496) :args (@t271)) % 0.44/0.68 (step @p499 :rule trans :premises (@p498 @p341)) % 0.44/0.68 (step @p500 :rule true_elim :premises (@p499)) % 0.44/0.68 (step @p501 :rule true_intro :premises (@p463)) % 0.44/0.68 (step @p502 :rule cong :premises (@p496) :args (@t272)) % 0.44/0.68 (step @p503 :rule trans :premises (@p502 @p501)) % 0.44/0.68 (step @p504 :rule true_elim :premises (@p503)) % 0.44/0.68 (step @p505 :rule bool-double-not-elim :args (@t201)) % 0.44/0.68 (step @p506 :rule nary_cong :premises (@p335 @p505) :args ((or @t207 (not @t202)))) % 0.44/0.68 (step @p507 :rule cnf_or_neg :args (@t207 3)) % 0.44/0.68 (step @p508 :rule eq_resolve :premises (@p507 @p506)) % 0.44/0.68 (step @p509 :rule reordering :premises (@p508) :args ((or @t201 @t207))) % 0.44/0.68 (step @p510 :rule chain_m_resolution :premises (@p509 @p333) :args (@t201 @t208 @t209)) % 0.44/0.68 (step @p511 :rule bool-double-not-elim :args (@t205)) % 0.44/0.68 (step @p512 :rule nary_cong :premises (@p335 @p511) :args ((or @t207 (not @t206)))) % 0.44/0.68 (step @p513 :rule cnf_or_neg :args (@t207 1)) % 0.44/0.68 (step @p514 :rule eq_resolve :premises (@p513 @p512)) % 0.44/0.68 (step @p515 :rule reordering :premises (@p514) :args ((or @t205 @t207))) % 0.44/0.68 (step @p516 :rule chain_m_resolution :premises (@p515 @p333) :args (@t205 @t208 @t209)) % 0.44/0.68 (step @p517 :rule cnf_or_pos :args (@t277)) % 0.44/0.68 (step @p518 :rule reordering :premises (@p517) :args ((or @t206 @t202 @t276 @t274 @t273 (not @t277)))) % 0.44/0.68 (step @p519 :rule chain_m_resolution :premises (@p518 @p516 @p510 @p504 @p500 @p266) :args (@t276 @t278 (@list @t205 @t201 @t272 @t271 @t277))) % 0.44/0.68 (step @p520 :rule cnf_equiv_pos2 :args (@t283)) % 0.44/0.68 (step @p521 :rule reordering :premises (@p520) :args ((or @t275 @t284 (not @t283)))) % 0.44/0.68 (step @p522 :rule chain_m_resolution :premises (@p521 @p519 @p265) :args (@t284 @t285 (@list @t275 @t283))) % 0.44/0.68 (step @p523 :rule cnf_or_neg :args (@t207 0)) % 0.44/0.68 (step @p524 :rule chain_m_resolution :premises (@p523 @p333) :args (@t170 @t208 @t209)) % 0.44/0.68 (step @p525 :rule false_intro :premises (@p524)) % 0.44/0.68 (step @p526 :rule refl :args (@t163)) % 0.44/0.68 (step @p527 :rule cong :premises (@p526 @p496) :args (@t279)) % 0.44/0.68 (step @p528 :rule trans :premises (@p527 @p525)) % 0.44/0.68 (step @p529 :rule false_elim :premises (@p528)) % 0.44/0.68 (step @p530 :rule bool-double-not-elim :args (@t279)) % 0.44/0.68 (step @p531 :rule refl :args (@t286)) % 0.44/0.68 (step @p532 :rule refl :args (@t282)) % 0.44/0.68 (step @p533 :rule nary_cong :premises (@p532 @p531 @p530) :args ((or @t282 @t286 (not @t280)))) % 0.44/0.68 (step @p534 :rule cnf_and_neg :args (@t282)) % 0.44/0.68 (step @p535 :rule eq_resolve :premises (@p534 @p533)) % 0.44/0.68 (step @p536 :rule reordering :premises (@p535) :args ((or @t279 @t282 @t286))) % 0.44/0.68 (step @p537 :rule chain_m_resolution :premises (@p536 @p529 @p522) :args (@t286 (@list true true) (@list @t279 @t282))) % 0.44/0.68 (step @p538 :rule false_intro :premises (@p537)) % 0.44/0.68 (step @p539 :rule cong :premises (@p526 @p495) :args (@t287)) % 0.44/0.68 (step @p540 :rule trans :premises (@p539 @p538)) % 0.44/0.68 (step @p541 :rule false_elim :premises (@p540)) % 0.44/0.68 (step @p542 :rule cnf_or_pos :args (@t288)) % 0.44/0.68 (step @p543 :rule reordering :premises (@p542) :args ((or @t165 @t287 (not @t288)))) % 0.44/0.68 (step @p544 :rule chain_m_resolution :premises (@p543 @p541 @p264) :args (@t165 @t285 (@list @t287 @t288))) % 0.44/0.68 (step @p545 :rule bool-double-not-elim :args (@t169)) % 0.44/0.68 (step @p546 :rule refl :args (@t289)) % 0.44/0.68 (step @p547 :rule refl :args (@t171)) % 0.44/0.68 (step @p548 :rule nary_cong :premises (@p547 @p546 @p545) :args ((or @t171 @t289 (not @t170)))) % 0.44/0.68 (step @p549 :rule cnf_and_neg :args (@t171)) % 0.44/0.68 (step @p550 :rule eq_resolve :premises (@p549 @p548)) % 0.44/0.68 (step @p551 :rule reordering :premises (@p550) :args ((or @t169 @t289 @t171))) % 0.44/0.68 (step @p552 :rule chain_m_resolution :premises (@p551 @p524 @p544) :args (@t171 @t285 (@list @t169 @t165))) % 0.44/0.68 (step @p553 :rule cnf_equiv_pos2 :args (@t172)) % 0.44/0.68 (step @p554 :rule reordering :premises (@p553) :args ((or @t167 (not @t171) (not @t172)))) % 0.44/0.68 (step @p555 :rule chain_m_resolution :premises (@p554 @p552 @p263) :args (@t167 @t261 (@list @t171 @t172))) % 0.44/0.68 (step @p556 :rule cnf_or_pos :args (@t291)) % 0.44/0.68 (step @p557 :rule reordering :premises (@p556) :args ((or @t206 @t204 @t202 @t200 @t290 @t292))) % 0.44/0.68 (step @p558 :rule chain_m_resolution :premises (@p557 @p516 @p463 @p510 @p340 @p555) :args (@t292 @t278 (@list @t205 @t203 @t201 @t199 @t167))) % 0.44/0.68 (assume-push @p571 @t293) % 0.44/0.68 (step @p560 :rule instantiate :premises (@p248) :args ((@list @t162 @t163 @t181))) % 0.44/0.68 (step-pop @p572 :rule scope :premises (@p560)) % 0.44/0.68 (step @p561 :rule process_scope :premises (@p572) :args (@t291)) % 0.44/0.68 (step @p563 :rule implies_elim :premises (@p561)) % 0.44/0.68 (step @p564 false :rule chain_m_resolution :premises (@p563 @p558 @p248) :args (false @t285 (@list @t291 @t293))) % 0.44/0.68 ) % 0.44/0.68 % SZS output end Proof % 0.44/0.68 % cvc5 exiting %------------------------------------------------------------------------------