%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV259^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:55:41 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV259^5 : TPTP v9.2.1. Released v4.0.0. % 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 : n028.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 : Tue Jun 2 18:23:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.37/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort tptp.b 0) % 0.37/0.59 (define @t1 () (@var "Xx" tptp.b)) % 0.37/0.59 (define @t2 () (@var "S0" (-> tptp.b Bool))) % 0.37/0.59 (define @t3 () (_ @t2 @t1)) % 0.37/0.59 (define @t4 () (@var "R" (-> tptp.b Bool))) % 0.37/0.59 (define @t5 () (@var "S" (-> (-> tptp.b Bool) Bool))) % 0.37/0.59 (define @t6 () (_ @t5 @t4)) % 0.37/0.59 (define @t7 () (@var "Xx0" tptp.b)) % 0.37/0.59 (define @t8 () (_ @t2 @t7)) % 0.37/0.59 (define @t9 () (not @t8)) % 0.37/0.59 (define @t10 () (@list @t7)) % 0.37/0.59 (define @t11 () (lambda @t10 @t9)) % 0.37/0.59 (define @t12 () (= @t4 @t11)) % 0.37/0.59 (define @t13 () (@list @t4)) % 0.37/0.59 (define @t14 () (forall @t13 (=> @t12 @t6))) % 0.37/0.59 (define @t15 () (@var "W" (-> tptp.b Bool))) % 0.37/0.59 (define @t16 () (_ @t15 @t7)) % 0.37/0.59 (define @t17 () (forall @t10 (=> @t16 @t8))) % 0.37/0.59 (define @t18 () (and @t17 @t14)) % 0.37/0.59 (define @t19 () (=> @t18 @t3)) % 0.37/0.59 (define @t20 () (@list @t2)) % 0.37/0.59 (define @t21 () (forall @t20 @t19)) % 0.37/0.59 (define @t22 () (_ @t15 @t1)) % 0.37/0.59 (define @t23 () (=> @t22 @t21)) % 0.37/0.59 (define @t24 () (@list @t15 @t1)) % 0.37/0.59 (define @t25 () (forall @t24 @t23)) % 0.37/0.59 (define @t26 () (_ @t5 @t2)) % 0.37/0.59 (define @t27 () (@var "Z" (-> tptp.b Bool))) % 0.37/0.59 (define @t28 () (_ @t27 @t1)) % 0.37/0.59 (define @t29 () (@var "Y" (-> tptp.b Bool))) % 0.37/0.59 (define @t30 () (_ @t29 @t1)) % 0.37/0.59 (define @t31 () (and @t30 @t28)) % 0.37/0.59 (define @t32 () (@list @t1)) % 0.37/0.59 (define @t33 () (lambda @t32 @t31)) % 0.37/0.59 (define @t34 () (= @t2 @t33)) % 0.37/0.59 (define @t35 () (_ @t5 @t27)) % 0.37/0.59 (define @t36 () (_ @t5 @t29)) % 0.37/0.59 (define @t37 () (and @t36 @t35 @t34)) % 0.37/0.59 (define @t38 () (@list @t29 @t27 @t2)) % 0.37/0.59 (define @t39 () (forall @t38 (=> @t37 @t26))) % 0.37/0.59 (define @t40 () (@var "K" (-> (-> tptp.b Bool) Bool))) % 0.37/0.59 (define @t41 () (_ @t40 @t2)) % 0.37/0.59 (define @t42 () (and @t41 @t3)) % 0.37/0.59 (define @t43 () (exists @t20 @t42)) % 0.37/0.59 (define @t44 () (lambda @t32 @t43)) % 0.37/0.59 (define @t45 () (= @t4 @t44)) % 0.37/0.59 (define @t46 () (@var "Xx" (-> tptp.b Bool))) % 0.37/0.59 (define @t47 () (_ @t5 @t46)) % 0.37/0.59 (define @t48 () (_ @t40 @t46)) % 0.37/0.59 (define @t49 () (@list @t46)) % 0.37/0.59 (define @t50 () (forall @t49 (=> @t48 @t47))) % 0.37/0.59 (define @t51 () (and @t50 @t45)) % 0.37/0.59 (define @t52 () (=> @t51 @t6)) % 0.37/0.59 (define @t53 () (@list @t40 @t4)) % 0.37/0.59 (define @t54 () (forall @t53 @t52)) % 0.37/0.59 (define @t55 () (not false)) % 0.37/0.59 (define @t56 () (lambda @t32 @t55)) % 0.37/0.59 (define @t57 () (= @t4 @t56)) % 0.37/0.59 (define @t58 () (=> @t57 @t6)) % 0.37/0.59 (define @t59 () (forall @t13 @t58)) % 0.37/0.59 (define @t60 () (lambda @t32 false)) % 0.37/0.59 (define @t61 () (= @t4 @t60)) % 0.37/0.59 (define @t62 () (=> @t61 @t6)) % 0.37/0.59 (define @t63 () (forall @t13 @t62)) % 0.37/0.59 (define @t64 () (and @t63 @t59 @t54 @t39)) % 0.37/0.59 (define @t65 () (=> @t64 @t25)) % 0.37/0.59 (define @t66 () (@list @t5)) % 0.37/0.59 (define @t67 () (forall @t66 @t65)) % 0.37/0.59 (define @t68 () (not @t67)) % 0.37/0.59 (define @t69 () (@var "BOUND_VARIABLE_7658" tptp.b)) % 0.37/0.59 (define @t70 () (@var "BOUND_VARIABLE_7660" (-> tptp.b Bool))) % 0.37/0.59 (define @t71 () (_ @t70 @t69)) % 0.37/0.59 (define @t72 () (_ @t70 @t7)) % 0.37/0.59 (define @t73 () (not (_ @t5 (lambda @t10 (not @t72))))) % 0.37/0.59 (define @t74 () (@var "BOUND_VARIABLE_7656" (-> tptp.b Bool))) % 0.37/0.59 (define @t75 () (not (forall @t10 (or (not (_ @t74 @t7)) @t72)))) % 0.37/0.59 (define @t76 () (not (_ @t74 @t69))) % 0.37/0.59 (define @t77 () (_ @t27 @t1)) % 0.37/0.59 (define @t78 () (_ @t29 @t1)) % 0.37/0.59 (define @t79 () (lambda @t32 (and @t78 @t77))) % 0.37/0.59 (define @t80 () (_ @t5 @t79)) % 0.37/0.59 (define @t81 () (_ @t5 @t27)) % 0.37/0.59 (define @t82 () (not @t81)) % 0.37/0.59 (define @t83 () (_ @t5 @t29)) % 0.37/0.59 (define @t84 () (not @t83)) % 0.37/0.59 (define @t85 () (or @t84 @t82 @t80)) % 0.37/0.59 (define @t86 () (@list @t29 @t27)) % 0.37/0.59 (define @t87 () (forall @t86 @t85)) % 0.37/0.59 (define @t88 () (not @t87)) % 0.37/0.59 (define @t89 () (_ @t2 @t1)) % 0.37/0.59 (define @t90 () (_ @t40 @t2)) % 0.37/0.59 (define @t91 () (lambda @t32 (not (forall @t20 (or (not @t90) (not @t89)))))) % 0.37/0.59 (define @t92 () (_ @t5 @t91)) % 0.37/0.59 (define @t93 () (_ @t5 @t46)) % 0.37/0.59 (define @t94 () (_ @t40 @t46)) % 0.37/0.59 (define @t95 () (not @t94)) % 0.37/0.59 (define @t96 () (forall @t49 (or @t95 @t93))) % 0.37/0.59 (define @t97 () (not @t96)) % 0.37/0.59 (define @t98 () (or @t97 @t92)) % 0.37/0.59 (define @t99 () (@list @t40)) % 0.37/0.59 (define @t100 () (forall @t99 @t98)) % 0.37/0.59 (define @t101 () (not @t100)) % 0.37/0.59 (define @t102 () (@var "BOUND_VARIABLE_7809" tptp.b)) % 0.37/0.59 (define @t103 () (lambda (@list @t102) true)) % 0.37/0.59 (define @t104 () (_ @t5 @t103)) % 0.37/0.59 (define @t105 () (not @t104)) % 0.37/0.59 (define @t106 () (@var "BOUND_VARIABLE_7819" tptp.b)) % 0.37/0.59 (define @t107 () (lambda (@list @t106) false)) % 0.37/0.59 (define @t108 () (_ @t5 @t107)) % 0.37/0.59 (define @t109 () (not @t108)) % 0.37/0.59 (define @t110 () (or @t109 @t105 @t101 @t88 @t76 @t75 @t73 @t71)) % 0.37/0.59 (define @t111 () (or @t76 @t75 @t73 @t71)) % 0.37/0.59 (define @t112 () (or @t109 @t105 @t101 @t88 @t111)) % 0.37/0.59 (define @t113 () (@list @t5 @t74 @t69 @t70)) % 0.37/0.59 (define @t114 () (forall @t113 @t112)) % 0.37/0.59 (define @t115 () (@list @t74 @t69 @t70)) % 0.37/0.59 (define @t116 () (forall @t115 @t112)) % 0.37/0.59 (define @t117 () (forall @t115 @t111)) % 0.37/0.59 (define @t118 () (@var "BOUND_VARIABLE_7629" (-> tptp.b Bool))) % 0.37/0.59 (define @t119 () (or @t109 @t105 @t101 @t88 @t117)) % 0.37/0.59 (define @t120 () (_ @t118 @t1)) % 0.37/0.59 (define @t121 () (_ @t118 @t7)) % 0.37/0.59 (define @t122 () (not (_ @t5 (lambda @t10 (not @t121))))) % 0.37/0.59 (define @t123 () (_ @t15 @t7)) % 0.37/0.59 (define @t124 () (not @t123)) % 0.37/0.59 (define @t125 () (not (forall @t10 (or @t124 @t121)))) % 0.37/0.59 (define @t126 () (_ @t15 @t1)) % 0.37/0.59 (define @t127 () (not @t126)) % 0.37/0.59 (define @t128 () (or @t127 @t125 @t122 @t120)) % 0.37/0.59 (define @t129 () (@list @t15 @t1 @t118)) % 0.37/0.59 (define @t130 () (forall @t129 @t128)) % 0.37/0.59 (define @t131 () (or @t109 @t105 @t101 @t88 @t130)) % 0.37/0.59 (define @t132 () (or @t109 @t105 @t101 @t88)) % 0.37/0.59 (define @t133 () (and @t108 @t104 @t100 @t87)) % 0.37/0.59 (define @t134 () (or @t125 @t122 @t120)) % 0.37/0.59 (define @t135 () (or @t127 @t134)) % 0.37/0.59 (define @t136 () (forall @t129 @t135)) % 0.37/0.59 (define @t137 () (@list @t118)) % 0.37/0.59 (define @t138 () (forall @t137 @t135)) % 0.37/0.59 (define @t139 () (forall @t137 @t134)) % 0.37/0.59 (define @t140 () (or @t127 @t139)) % 0.37/0.59 (define @t141 () (_ @t2 @t7)) % 0.37/0.59 (define @t142 () (lambda @t10 (not @t141))) % 0.37/0.59 (define @t143 () (_ @t5 @t142)) % 0.37/0.59 (define @t144 () (not @t143)) % 0.37/0.59 (define @t145 () (forall @t10 (or @t124 @t141))) % 0.37/0.59 (define @t146 () (not @t145)) % 0.37/0.59 (define @t147 () (forall @t20 (or @t146 @t144 @t89))) % 0.37/0.59 (define @t148 () (not @t22)) % 0.37/0.59 (define @t149 () (or @t148 @t147)) % 0.37/0.59 (define @t150 () (or @t146 @t144 @t3)) % 0.37/0.59 (define @t151 () (and @t145 @t143)) % 0.37/0.59 (define @t152 () (not (= @t142 @t142))) % 0.37/0.59 (define @t153 () (or @t152 @t143)) % 0.37/0.59 (define @t154 () (_ @t5 @t4)) % 0.37/0.59 (define @t155 () (not (= @t4 @t142))) % 0.37/0.59 (define @t156 () (or @t155 @t155 @t154)) % 0.37/0.59 (define @t157 () (or @t155 @t154)) % 0.37/0.59 (define @t158 () (not @t12)) % 0.37/0.59 (define @t159 () (or @t158 @t6)) % 0.37/0.59 (define @t160 () (not @t16)) % 0.37/0.59 (define @t161 () (or @t160 @t8)) % 0.37/0.59 (define @t162 () (not (= @t79 @t79))) % 0.37/0.59 (define @t163 () (or @t84 @t82 @t162 @t80)) % 0.37/0.59 (define @t164 () (_ @t5 @t2)) % 0.37/0.59 (define @t165 () (not (= @t2 @t79))) % 0.37/0.59 (define @t166 () (or @t165 @t84 @t82 @t165 @t164)) % 0.37/0.59 (define @t167 () (or @t84 @t82 @t165 @t164)) % 0.37/0.59 (define @t168 () (forall @t20 @t167)) % 0.37/0.59 (define @t169 () (forall @t86 @t168)) % 0.37/0.59 (define @t170 () (not @t34)) % 0.37/0.59 (define @t171 () (not @t35)) % 0.37/0.59 (define @t172 () (not @t36)) % 0.37/0.59 (define @t173 () (or @t172 @t171 @t170 @t26)) % 0.37/0.59 (define @t174 () (or @t172 @t171 @t170)) % 0.37/0.59 (define @t175 () (not (= @t91 @t91))) % 0.37/0.59 (define @t176 () (or @t97 @t175 @t92)) % 0.37/0.59 (define @t177 () (= @t4 @t91)) % 0.37/0.59 (define @t178 () (not @t177)) % 0.37/0.59 (define @t179 () (or @t178 @t97 @t178 @t154)) % 0.37/0.59 (define @t180 () (or @t97 @t178 @t154)) % 0.37/0.59 (define @t181 () (forall @t13 @t180)) % 0.37/0.59 (define @t182 () (forall @t99 @t181)) % 0.37/0.59 (define @t183 () (or @t97 @t178 @t6)) % 0.37/0.59 (define @t184 () (and @t96 @t177)) % 0.37/0.59 (define @t185 () (not @t3)) % 0.37/0.59 (define @t186 () (not @t41)) % 0.37/0.59 (define @t187 () (or @t186 @t185)) % 0.37/0.59 (define @t188 () (forall @t20 (not @t42))) % 0.37/0.59 (define @t189 () (not @t188)) % 0.37/0.59 (define @t190 () (not @t48)) % 0.37/0.59 (define @t191 () (or @t190 @t47)) % 0.37/0.59 (define @t192 () (= @t103 @t103)) % 0.37/0.59 (define @t193 () (not @t192)) % 0.37/0.59 (define @t194 () (or @t193 @t104)) % 0.37/0.59 (define @t195 () (= @t4 @t103)) % 0.37/0.59 (define @t196 () (not @t195)) % 0.37/0.59 (define @t197 () (or @t196 @t196 @t154)) % 0.37/0.59 (define @t198 () (or @t196 @t154)) % 0.37/0.59 (define @t199 () (or @t196 @t6)) % 0.37/0.59 (define @t200 () (@list @t1)) % 0.37/0.59 (define @t201 () (= @t107 @t107)) % 0.37/0.59 (define @t202 () (not @t201)) % 0.37/0.59 (define @t203 () (or @t202 @t108)) % 0.37/0.59 (define @t204 () (= @t4 @t107)) % 0.37/0.59 (define @t205 () (not @t204)) % 0.37/0.59 (define @t206 () (or @t205 @t205 @t154)) % 0.37/0.59 (define @t207 () (or @t205 @t154)) % 0.37/0.59 (define @t208 () (or @t205 @t6)) % 0.37/0.59 (define @t209 () (forall @t113 @t110)) % 0.37/0.59 (define @t210 () (@quantifiers_skolemize @t209 2)) % 0.37/0.59 (define @t211 () (@quantifiers_skolemize @t209 3)) % 0.37/0.59 (define @t212 () (_ @t211 @t210)) % 0.37/0.59 (define @t213 () (_ @t211 @t7)) % 0.37/0.59 (define @t214 () (lambda @t10 (not @t213))) % 0.37/0.59 (define @t215 () (@purify @t214)) % 0.37/0.59 (define @t216 () (@quantifiers_skolemize @t209 0)) % 0.37/0.59 (define @t217 () (@quantifiers_skolemize @t209 1)) % 0.37/0.59 (define @t218 () (forall @t10 (or (not (_ @t217 @t7)) @t213))) % 0.37/0.59 (define @t219 () (not @t218)) % 0.37/0.59 (define @t220 () (_ @t217 @t210)) % 0.37/0.59 (define @t221 () (not @t220)) % 0.37/0.59 (define @t222 () (not (forall @t86 (or (not (_ @t216 @t29)) (not (_ @t216 @t27)) (_ @t216 @t79))))) % 0.37/0.59 (define @t223 () (not (forall @t99 (or (not (forall @t49 (or @t95 (_ @t216 @t46)))) (_ @t216 @t91))))) % 0.37/0.59 (define @t224 () (@purify @t103)) % 0.37/0.59 (define @t225 () (@purify @t107)) % 0.37/0.59 (define @t226 () (or (not (_ @t216 @t225)) (not (_ @t216 @t224)) @t223 @t222 @t221 @t219 (not (_ @t216 @t215)) @t212)) % 0.37/0.59 (define @t227 () (not @t226)) % 0.37/0.59 (define @t228 () (not @t209)) % 0.37/0.59 (define @t229 () (_ @t216 @t214)) % 0.37/0.59 (define @t230 () (not @t229)) % 0.37/0.59 (define @t231 () (_ @t216 @t103)) % 0.37/0.59 (define @t232 () (not @t231)) % 0.37/0.59 (define @t233 () (_ @t216 @t107)) % 0.37/0.59 (define @t234 () (not @t233)) % 0.37/0.59 (define @t235 () (or @t234 @t232 @t223 @t222 @t221 @t219 @t230 @t212)) % 0.37/0.59 (define @t236 () (not @t235)) % 0.37/0.59 (define @t237 () (@list true)) % 0.37/0.59 (define @t238 () (@list @t226)) % 0.37/0.59 (define @t239 () (or @t221 @t212)) % 0.37/0.59 (define @t240 () (not @t239)) % 0.37/0.59 (assume @p1 @t68) % 0.37/0.59 (assume @p2 true) % 0.37/0.59 (step @p3 :rule aci_norm :args ((= @t112 @t110))) % 0.37/0.59 (step @p4 :rule cong :premises (@p3) :args (@t114)) % 0.37/0.59 (step @p5 :rule quant-merge-prenex :args ((= (forall @t66 @t116) @t114))) % 0.37/0.59 (step @p6 :rule alpha_equiv :args (@t117 (@list @t74 @t69 @t70) (@list @t15 @t1 @t118))) % 0.37/0.59 (step @p7 :rule refl :args (@t88)) % 0.37/0.59 (step @p8 :rule refl :args (@t101)) % 0.37/0.59 (step @p9 :rule refl :args (@t105)) % 0.37/0.59 (step @p10 :rule refl :args (@t109)) % 0.37/0.59 (step @p11 :rule nary_cong :premises (@p10 @p9 @p8 @p7 @p6) :args (@t119)) % 0.37/0.59 (step @p12 :rule quant-miniscope-or :args ((= @t116 @t119))) % 0.37/0.59 (step @p13 :rule trans :premises (@p12 @p11)) % 0.37/0.59 (step @p14 :rule symm :premises (@p13)) % 0.37/0.59 (step @p15 :rule cong :premises (@p14) :args ((forall @t66 @t131))) % 0.37/0.59 (step @p16 :rule trans :premises (@p15 @p5)) % 0.37/0.59 (step @p17 :rule trans :premises (@p16 @p4)) % 0.37/0.59 (step @p18 :rule aci_norm :args ((= (or @t132 @t130) @t131))) % 0.37/0.59 (step @p19 :rule refl :args (@t130)) % 0.37/0.59 (step @p20 :rule aci_norm :args ((= (or @t109 (or @t105 (or @t101 @t88))) @t132))) % 0.37/0.59 (step @p21 :rule bool-and-de-morgan :args (@t100 @t87 true)) % 0.37/0.59 (step @p22 :rule nary_cong :premises (@p9 @p21) :args ((or @t105 (not (and @t100 @t87))))) % 0.37/0.59 (step @p23 :rule bool-and-de-morgan :args (@t104 @t100 (and @t87))) % 0.37/0.59 (step @p24 :rule trans :premises (@p23 @p22)) % 0.37/0.59 (step @p25 :rule nary_cong :premises (@p10 @p24) :args ((or @t109 (not (and @t104 @t100 @t87))))) % 0.37/0.59 (step @p26 :rule bool-and-de-morgan :args (@t108 @t104 (and @t100 @t87))) % 0.37/0.59 (step @p27 :rule trans :premises (@p26 @p25)) % 0.37/0.59 (step @p28 :rule trans :premises (@p27 @p20)) % 0.37/0.59 (step @p29 :rule nary_cong :premises (@p28 @p19) :args ((or (not @t133) @t130))) % 0.37/0.59 (step @p30 :rule trans :premises (@p29 @p18)) % 0.37/0.59 (step @p31 :rule bool-impl-elim :args (@t133 @t130)) % 0.37/0.59 (step @p32 :rule trans :premises (@p31 @p30)) % 0.37/0.59 (step @p33 :rule cong :premises (@p32) :args ((forall @t66 (=> @t133 @t130)))) % 0.37/0.59 (step @p34 :rule trans :premises (@p33 @p17)) % 0.37/0.59 (step @p35 :rule aci_norm :args ((= @t135 @t128))) % 0.37/0.59 (step @p36 :rule cong :premises (@p35) :args (@t136)) % 0.37/0.59 (step @p37 :rule quant-merge-prenex :args ((= (forall @t24 @t138) @t136))) % 0.37/0.59 (step @p38 :rule alpha_equiv :args (@t139 (@list @t118) (@list @t2))) % 0.37/0.59 (step @p39 :rule refl :args (@t127)) % 0.37/0.59 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t140)) % 0.37/0.59 (step @p41 :rule quant-miniscope-or :args ((= @t138 @t140))) % 0.37/0.59 (step @p42 :rule trans :premises (@p41 @p40)) % 0.37/0.59 (step @p43 :rule symm :premises (@p42)) % 0.37/0.59 (step @p44 :rule cong :premises (@p43) :args ((forall @t24 (or @t127 @t147)))) % 0.37/0.59 (step @p45 :rule trans :premises (@p44 @p37)) % 0.37/0.59 (step @p46 :rule trans :premises (@p45 @p36)) % 0.37/0.59 (step @p47 :rule refl :args (@t147)) % 0.37/0.59 (step @p48 :rule refl :args 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(step @p292 :rule evaluate :args (@t55)) % 0.37/0.59 (step @p293 :rule cong :premises (@p292) :args (@t56)) % 0.37/0.59 (step @p294 :rule trans :premises (@p293 @p291)) % 0.37/0.59 (step @p295 :rule cong :premises (@p247 @p294) :args (@t57)) % 0.37/0.59 (step @p296 :rule cong :premises (@p295 @p230) :args (@t58)) % 0.37/0.59 (step @p297 :rule cong :premises (@p296) :args (@t59)) % 0.37/0.59 (step @p298 :rule trans :premises (@p297 @p287)) % 0.37/0.59 (step @p299 :rule aci_norm :args ((= (or false @t108) @t108))) % 0.37/0.59 (step @p300 :rule refl :args (@t108)) % 0.37/0.59 (step @p301 :rule eq-refl :args (@t107)) % 0.37/0.59 (step @p302 :rule cong :premises (@p301) :args (@t202)) % 0.37/0.59 (step @p303 :rule trans :premises (@p302 @p80)) % 0.37/0.59 (step @p304 :rule nary_cong :premises (@p303 @p300) :args (@t203)) % 0.37/0.59 (step @p305 :rule trans :premises (@p304 @p299)) % 0.37/0.59 (step @p306 :rule quant-var-elim-eq :args ((= (forall @t13 @t206) @t203))) % 0.37/0.59 (step @p307 :rule aci_norm :args ((= @t207 @t206))) % 0.37/0.59 (step @p308 :rule cong :premises (@p307) :args ((forall @t13 @t207))) % 0.37/0.59 (step @p309 :rule trans :premises (@p308 @p306)) % 0.37/0.59 (step @p310 :rule trans :premises (@p309 @p305)) % 0.37/0.59 (step @p311 :rule refl :args (@t205)) % 0.37/0.59 (step @p312 :rule nary_cong :premises (@p311 @p95) :args (@t208)) % 0.37/0.59 (step @p313 :rule cong :premises (@p312) :args ((forall @t13 @t208))) % 0.37/0.59 (step @p314 :rule trans :premises (@p313 @p310)) % 0.37/0.59 (step @p315 :rule bool-impl-elim :args (@t204 @t6)) % 0.37/0.59 (step @p316 :rule cong :premises (@p315) :args ((forall @t13 (=> @t204 @t6)))) % 0.37/0.59 (step @p317 :rule trans :premises (@p316 @p314)) % 0.37/0.59 (step @p318 :rule refl :args (@t107)) % 0.37/0.59 (step @p319 :rule symm :premises (@p318)) % 0.37/0.59 (step @p320 :rule alpha_equiv :args (@t60 @t200 (@list @t106))) % 0.37/0.59 (step @p321 :rule trans :premises (@p320 @p319)) % 0.37/0.59 (step @p322 :rule cong :premises (@p247 @p321) :args (@t61)) % 0.37/0.59 (step @p323 :rule cong :premises (@p322 @p230) :args (@t62)) % 0.37/0.59 (step @p324 :rule cong :premises (@p323) :args (@t63)) % 0.37/0.59 (step @p325 :rule trans :premises (@p324 @p317)) % 0.37/0.59 (step @p326 :rule nary_cong :premises (@p325 @p298 @p268 @p198) :args (@t64)) % 0.37/0.59 (step @p327 :rule cong :premises (@p326 @p130) :args (@t65)) % 0.37/0.59 (step @p328 :rule cong :premises (@p327) :args (@t67)) % 0.37/0.59 (step @p329 :rule trans :premises (@p328 @p34)) % 0.37/0.59 (step @p330 :rule cong :premises (@p329) :args (@t68)) % 0.37/0.59 (step @p331 :rule eq_resolve :premises (@p1 @p330)) % 0.37/0.59 (step @p332 :rule refl :args (@t227)) % 0.37/0.59 (step @p333 :rule bool-double-not-elim :args (@t209)) % 0.37/0.59 (step @p334 :rule nary_cong :premises (@p333 @p332) :args ((or (not @t228) @t227))) % 0.37/0.59 (step @p335 :rule refl :args (@t212)) % 0.37/0.59 (step @p336 :rule eq-refl :args (@t214)) % 0.37/0.59 (step @p337 :rule skolem_intro :args (@t215)) % 0.37/0.59 (step @p338 :rule refl :args (@t214)) % 0.37/0.59 (step @p339 :rule cong :premises (@p338 @p337) :args ((= @t214 @t215))) % 0.37/0.59 (step @p340 :rule trans :premises (@p339 @p336)) % 0.37/0.59 (step @p341 :rule true_elim :premises (@p340)) % 0.37/0.59 (step @p342 :rule cong :premises (@p341) :args (@t229)) % 0.37/0.59 (step @p343 :rule cong :premises (@p342) :args (@t230)) % 0.37/0.59 (step @p344 :rule refl :args (@t219)) % 0.37/0.59 (step @p345 :rule refl :args (@t221)) % 0.37/0.59 (step @p346 :rule refl :args (@t222)) % 0.37/0.59 (step @p347 :rule refl :args (@t223)) % 0.37/0.59 (step @p348 :rule refl :args (@t103)) % 0.37/0.59 (step @p349 :rule cong :premises (@p348 @p289) :args (@t192)) % 0.37/0.59 (step @p350 :rule trans :premises (@p349 @p271)) % 0.37/0.59 (step @p351 :rule skolem_intro :args (@t224)) % 0.37/0.59 (step @p352 :rule cong :premises (@p348 @p351) :args ((= @t103 @t224))) % 0.37/0.59 (step @p353 :rule trans :premises (@p352 @p350)) % 0.37/0.59 (step @p354 :rule true_elim :premises (@p353)) % 0.37/0.59 (step @p355 :rule cong :premises (@p354) :args (@t231)) % 0.37/0.59 (step @p356 :rule cong :premises (@p355) :args (@t232)) % 0.37/0.59 (step @p357 :rule refl :args (@t107)) % 0.37/0.59 (step @p358 :rule cong :premises (@p357 @p319) :args (@t201)) % 0.37/0.59 (step @p359 :rule trans :premises (@p358 @p301)) % 0.37/0.59 (step @p360 :rule skolem_intro :args (@t225)) % 0.37/0.59 (step @p361 :rule cong :premises (@p357 @p360) :args ((= @t107 @t225))) % 0.37/0.59 (step @p362 :rule trans :premises (@p361 @p359)) % 0.37/0.59 (step @p363 :rule true_elim :premises (@p362)) % 0.37/0.59 (step @p364 :rule cong :premises (@p363) :args (@t233)) % 0.37/0.59 (step @p365 :rule cong :premises (@p364) :args (@t234)) % 0.37/0.59 (step @p366 :rule nary_cong :premises (@p365 @p356 @p347 @p346 @p345 @p344 @p343 @p335) :args (@t235)) % 0.37/0.59 (step @p367 :rule cong :premises (@p366) :args (@t236)) % 0.37/0.59 (step @p368 :rule refl :args (@t228)) % 0.37/0.59 (step @p369 :rule cong :premises (@p368 @p367) :args ((=> @t228 @t236))) % 0.37/0.59 (assume-push @p402 @t228) % 0.37/0.59 (step @p371 :rule skolemize :premises (@p331)) % 0.37/0.59 (step-pop @p403 :rule scope :premises (@p371)) % 0.37/0.59 (step @p372 :rule process_scope :premises (@p403) :args (@t236)) % 0.37/0.59 (step @p374 :rule eq_resolve :premises (@p372 @p369)) % 0.37/0.59 (step @p375 :rule implies_elim :premises (@p374)) % 0.37/0.59 (step @p376 :rule eq_resolve :premises (@p375 @p334)) % 0.37/0.59 (step @p377 :rule chain_m_resolution :premises (@p376 @p331) :args (@t227 @t237 (@list @t209))) % 0.37/0.59 (step @p378 :rule bool-double-not-elim :args (@t218)) % 0.37/0.59 (step @p379 :rule refl :args (@t226)) % 0.37/0.59 (step @p380 :rule nary_cong :premises (@p379 @p378) :args ((or @t226 (not @t219)))) % 0.37/0.59 (step @p381 :rule cnf_or_neg :args (@t226 5)) % 0.37/0.59 (step @p382 :rule eq_resolve :premises (@p381 @p380)) % 0.37/0.59 (step @p383 :rule reordering :premises (@p382) :args ((or @t218 @t226))) % 0.37/0.59 (step @p384 :rule chain_m_resolution :premises (@p383 @p377) :args (@t218 @t237 @t238)) % 0.37/0.59 (step @p385 :rule cnf_or_neg :args (@t226 7)) % 0.37/0.59 (step @p386 :rule chain_m_resolution :premises (@p385 @p377) :args ((not @t212) @t237 @t238)) % 0.37/0.59 (step @p387 :rule bool-double-not-elim :args (@t220)) % 0.37/0.59 (step @p388 :rule nary_cong :premises (@p379 @p387) :args ((or @t226 (not @t221)))) % 0.37/0.59 (step @p389 :rule cnf_or_neg :args (@t226 4)) % 0.37/0.59 (step @p390 :rule eq_resolve :premises (@p389 @p388)) % 0.37/0.59 (step @p391 :rule reordering :premises (@p390) :args ((or @t220 @t226))) % 0.37/0.59 (step @p392 :rule chain_m_resolution :premises (@p391 @p377) :args (@t220 @t237 @t238)) % 0.37/0.59 (step @p393 :rule cnf_or_pos :args (@t239)) % 0.37/0.59 (step @p394 :rule reordering :premises (@p393) :args ((or @t221 @t212 @t240))) % 0.37/0.59 (step @p395 :rule chain_m_resolution :premises (@p394 @p392 @p386) :args (@t240 (@list false true) (@list @t220 @t212))) % 0.37/0.59 (assume-push @p404 @t218) % 0.37/0.59 (step @p397 :rule instantiate :premises (@p384) :args ((@list @t210))) % 0.37/0.59 (step-pop @p405 :rule scope :premises (@p397)) % 0.37/0.59 (step @p398 :rule process_scope :premises (@p405) :args (@t239)) % 0.37/0.59 (step @p400 :rule implies_elim :premises (@p398)) % 0.37/0.59 (step @p401 false :rule chain_m_resolution :premises (@p400 @p395 @p384) :args (false (@list true false) (@list @t239 @t218))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------