%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU550^2 : TPTP v9.2.1. Bugfixed v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:52:09 AM UTC 2026 % Result : Theorem 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU550^2 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.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 17:41:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.39/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.59 % SZS status Theorem % 0.39/0.59 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.39/0.59 (define @t1 () (@var "Xx" $$unsorted)) % 0.39/0.59 (define @t2 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.39/0.59 (define @t3 () (_ @t2 @t1)) % 0.39/0.59 (define @t4 () (@list @t1)) % 0.39/0.59 (define @t5 () (lambda @t4 @t3)) % 0.39/0.59 (define @t6 () (@var "Xphi" (-> $$unsorted Bool))) % 0.39/0.59 (define @t7 () (_ @t6 @t1)) % 0.39/0.59 (define @t8 () (lambda @t4 @t7)) % 0.39/0.59 (define @t9 () (= (_ tptp.exu @t8) (_ tptp.exu @t5))) % 0.39/0.59 (define @t10 () (@var "Xy" $$unsorted)) % 0.39/0.59 (define @t11 () (_ @t2 @t10)) % 0.39/0.59 (define @t12 () (= @t7 @t11)) % 0.39/0.59 (define @t13 () (= @t1 @t10)) % 0.39/0.59 (define @t14 () (@list @t1 @t10)) % 0.39/0.59 (define @t15 () (forall @t14 (=> @t13 @t12))) % 0.39/0.59 (define @t16 () (=> @t15 @t9)) % 0.39/0.59 (define @t17 () (@list @t6 @t2)) % 0.39/0.59 (define @t18 () (forall @t17 @t16)) % 0.39/0.59 (define @t19 () (not @t18)) % 0.39/0.59 (define @t20 () (_ @t6 @t10)) % 0.39/0.59 (define @t21 () (@list @t10)) % 0.39/0.59 (define @t22 () (forall @t21 (=> @t20 @t13))) % 0.39/0.59 (define @t23 () (and @t7 @t22)) % 0.39/0.59 (define @t24 () (exists @t4 @t23)) % 0.39/0.59 (define @t25 () (@list @t6)) % 0.39/0.59 (define @t26 () (lambda @t25 @t24)) % 0.39/0.59 (define @t27 () (_ @t2 @t10)) % 0.39/0.59 (define @t28 () (_ @t6 @t10)) % 0.39/0.59 (define @t29 () (= @t28 @t27)) % 0.39/0.59 (define @t30 () (forall @t21 @t29)) % 0.39/0.59 (define @t31 () (not (forall @t21 (or (not @t27) @t13)))) % 0.39/0.59 (define @t32 () (_ @t2 @t1)) % 0.39/0.59 (define @t33 () (not (forall @t4 (or (not @t32) @t31)))) % 0.39/0.59 (define @t34 () (forall @t21 (or (not @t28) @t13))) % 0.39/0.59 (define @t35 () (not @t34)) % 0.39/0.59 (define @t36 () (_ @t6 @t1)) % 0.39/0.59 (define @t37 () (not (forall @t4 (or (not @t36) @t35)))) % 0.39/0.59 (define @t38 () (= @t37 @t33)) % 0.39/0.59 (define @t39 () (not @t7)) % 0.39/0.59 (define @t40 () (or @t39 @t35)) % 0.39/0.59 (define @t41 () (not @t20)) % 0.39/0.59 (define @t42 () (or @t41 @t13)) % 0.39/0.59 (define @t43 () (_ @t8 @t10)) % 0.39/0.59 (define @t44 () (not @t43)) % 0.39/0.59 (define @t45 () (or @t44 @t13)) % 0.39/0.59 (define @t46 () (forall @t21 @t45)) % 0.39/0.59 (define @t47 () (not @t46)) % 0.39/0.59 (define @t48 () (_ @t8 @t1)) % 0.39/0.59 (define @t49 () (not @t48)) % 0.39/0.59 (define @t50 () (or @t49 @t47)) % 0.39/0.59 (define @t51 () (forall @t4 @t50)) % 0.39/0.59 (define @t52 () (not @t51)) % 0.39/0.59 (define @t53 () (lambda @t25 @t37)) % 0.39/0.59 (define @t54 () (_ @t53 @t8)) % 0.39/0.59 (define @t55 () (not @t3)) % 0.39/0.59 (define @t56 () (or @t55 @t31)) % 0.39/0.59 (define @t57 () (not @t11)) % 0.39/0.59 (define @t58 () (or @t57 @t13)) % 0.39/0.59 (define @t59 () (_ @t5 @t10)) % 0.39/0.59 (define @t60 () (not @t59)) % 0.39/0.59 (define @t61 () (or @t60 @t13)) % 0.39/0.59 (define @t62 () (forall @t21 @t61)) % 0.39/0.59 (define @t63 () (not @t62)) % 0.39/0.59 (define @t64 () (_ @t5 @t1)) % 0.39/0.59 (define @t65 () (not @t64)) % 0.39/0.59 (define @t66 () (or @t65 @t63)) % 0.39/0.59 (define @t67 () (forall @t4 @t66)) % 0.39/0.59 (define @t68 () (not @t67)) % 0.39/0.59 (define @t69 () (_ @t53 @t5)) % 0.39/0.59 (define @t70 () (not (= @t10 @t10))) % 0.39/0.59 (define @t71 () (or @t70 @t29)) % 0.39/0.59 (define @t72 () (= @t36 @t27)) % 0.39/0.59 (define @t73 () (not @t13)) % 0.39/0.59 (define @t74 () (or @t73 @t73 @t72)) % 0.39/0.59 (define @t75 () (or @t73 @t72)) % 0.39/0.59 (define @t76 () (forall @t4 @t75)) % 0.39/0.59 (define @t77 () (forall @t21 @t76)) % 0.39/0.59 (define @t78 () (forall (@list @t10 @t1) @t75)) % 0.39/0.59 (define @t79 () (or @t73 @t12)) % 0.39/0.59 (define @t80 () (=> @t15 (= @t54 @t69))) % 0.39/0.59 (define @t81 () (forall @t17 @t80)) % 0.39/0.59 (define @t82 () (and @t7 @t34)) % 0.39/0.59 (define @t83 () (forall @t4 (not @t82))) % 0.39/0.59 (define @t84 () (not @t83)) % 0.39/0.59 (define @t85 () (forall @t17 (or (not @t30) @t38))) % 0.39/0.59 (define @t86 () (@quantifiers_skolemize @t85 1)) % 0.39/0.59 (define @t87 () (_ @t86 @t10)) % 0.39/0.59 (define @t88 () (not @t87)) % 0.39/0.59 (define @t89 () (forall @t4 (or (not (_ @t86 @t1)) (not (forall @t21 (or @t88 @t13)))))) % 0.39/0.59 (define @t90 () (not @t89)) % 0.39/0.59 (define @t91 () (@quantifiers_skolemize @t85 0)) % 0.39/0.59 (define @t92 () (_ @t91 @t10)) % 0.39/0.59 (define @t93 () (not @t92)) % 0.39/0.59 (define @t94 () (forall @t4 (or (not (_ @t91 @t1)) (not (forall @t21 (or @t93 @t13)))))) % 0.39/0.59 (define @t95 () (not @t94)) % 0.39/0.59 (define @t96 () (= @t95 @t90)) % 0.39/0.59 (define @t97 () (forall @t21 (= @t92 @t87))) % 0.39/0.59 (define @t98 () (not @t97)) % 0.39/0.59 (define @t99 () (or @t98 @t96)) % 0.39/0.59 (define @t100 () (@list true)) % 0.39/0.59 (define @t101 () (@list @t99)) % 0.39/0.59 (define @t102 () (not @t90)) % 0.39/0.59 (define @t103 () (not @t95)) % 0.39/0.59 (define @t104 () (@quantifiers_skolemize @t94 0)) % 0.39/0.59 (define @t105 () (= @t10 @t104)) % 0.39/0.59 (define @t106 () (forall @t21 (or @t93 @t105))) % 0.39/0.59 (define @t107 () (not @t106)) % 0.39/0.59 (define @t108 () (_ @t91 @t104)) % 0.39/0.59 (define @t109 () (not @t108)) % 0.39/0.59 (define @t110 () (or @t109 @t107)) % 0.39/0.59 (define @t111 () (not @t110)) % 0.39/0.59 (define @t112 () (= @t104 @t10)) % 0.39/0.59 (define @t113 () (or @t93 @t112)) % 0.39/0.59 (define @t114 () (forall @t21 @t113)) % 0.39/0.59 (define @t115 () (not @t114)) % 0.39/0.59 (define @t116 () (or @t109 @t115)) % 0.39/0.59 (define @t117 () (not @t116)) % 0.39/0.59 (define @t118 () (or @t88 @t112)) % 0.39/0.59 (define @t119 () (forall @t21 @t118)) % 0.39/0.59 (define @t120 () (not @t119)) % 0.39/0.59 (define @t121 () (_ @t86 @t104)) % 0.39/0.59 (define @t122 () (not @t121)) % 0.39/0.59 (define @t123 () (or @t122 @t120)) % 0.39/0.59 (define @t124 () (@list @t104)) % 0.39/0.59 (define @t125 () (not @t107)) % 0.39/0.59 (define @t126 () (= @t108 @t121)) % 0.39/0.59 (define @t127 () (not @t126)) % 0.39/0.59 (define @t128 () (forall @t21 (or @t88 @t105))) % 0.39/0.59 (define @t129 () (not @t128)) % 0.39/0.59 (define @t130 () (or @t122 @t129)) % 0.39/0.59 (define @t131 () (@quantifiers_skolemize @t128 0)) % 0.39/0.59 (define @t132 () (= @t104 @t131)) % 0.39/0.59 (define @t133 () (_ @t86 @t131)) % 0.39/0.59 (define @t134 () (not @t133)) % 0.39/0.59 (define @t135 () (or @t134 @t132)) % 0.39/0.59 (define @t136 () (not @t135)) % 0.39/0.59 (define @t137 () (= @t131 @t104)) % 0.39/0.59 (define @t138 () (or @t134 @t137)) % 0.39/0.59 (define @t139 () (not @t138)) % 0.39/0.59 (define @t140 () (_ @t91 @t131)) % 0.39/0.59 (define @t141 () (= @t140 @t133)) % 0.39/0.59 (define @t142 () (@list @t131)) % 0.39/0.59 (define @t143 () (= @t133 @t140)) % 0.39/0.59 (define @t144 () (@list false)) % 0.39/0.59 (define @t145 () (not @t140)) % 0.39/0.59 (define @t146 () (or @t145 @t132)) % 0.39/0.59 (define @t147 () (not @t146)) % 0.39/0.59 (define @t148 () (or @t145 @t137)) % 0.39/0.59 (define @t149 () (@list false true)) % 0.39/0.59 (define @t150 () (@quantifiers_skolemize @t89 0)) % 0.39/0.59 (define @t151 () (forall @t21 (or @t88 (= @t10 @t150)))) % 0.39/0.59 (define @t152 () (not @t151)) % 0.39/0.59 (define @t153 () (_ @t86 @t150)) % 0.39/0.59 (define @t154 () (not @t153)) % 0.39/0.59 (define @t155 () (or @t154 @t152)) % 0.39/0.59 (define @t156 () (not @t155)) % 0.39/0.59 (define @t157 () (or @t88 (= @t150 @t10))) % 0.39/0.59 (define @t158 () (forall @t21 @t157)) % 0.39/0.59 (define @t159 () (not @t158)) % 0.39/0.59 (define @t160 () (or @t154 @t159)) % 0.39/0.59 (define @t161 () (not @t160)) % 0.39/0.59 (define @t162 () (@list @t155)) % 0.39/0.59 (define @t163 () (= @t131 @t150)) % 0.39/0.59 (define @t164 () (or @t134 @t163)) % 0.39/0.59 (define @t165 () (@list @t151)) % 0.39/0.59 (define @t166 () (@list @t94)) % 0.39/0.59 (define @t167 () (= @t104 @t150)) % 0.39/0.59 (define @t168 () (or @t122 @t167)) % 0.39/0.59 (define @t169 () (@quantifiers_skolemize @t106 0)) % 0.39/0.59 (define @t170 () (= @t104 @t169)) % 0.39/0.59 (define @t171 () (_ @t91 @t169)) % 0.39/0.59 (define @t172 () (not @t171)) % 0.39/0.59 (define @t173 () (or @t172 @t170)) % 0.39/0.59 (define @t174 () (not @t173)) % 0.39/0.59 (define @t175 () (= @t169 @t104)) % 0.39/0.59 (define @t176 () (or @t172 @t175)) % 0.39/0.59 (define @t177 () (not @t176)) % 0.39/0.59 (define @t178 () (@list @t169)) % 0.39/0.59 (define @t179 () (_ @t86 @t169)) % 0.39/0.59 (define @t180 () (= @t171 @t179)) % 0.39/0.59 (define @t181 () (not @t179)) % 0.39/0.59 (define @t182 () (or @t181 @t170)) % 0.39/0.59 (define @t183 () (or @t181 @t175)) % 0.39/0.59 (define @t184 () (not @t163)) % 0.39/0.59 (define @t185 () (not @t167)) % 0.39/0.59 (define @t186 () (not @t132)) % 0.39/0.59 (define @t187 () (and @t167 @t163 @t186)) % 0.39/0.59 (define @t188 () (@list true false)) % 0.39/0.59 (define @t189 () (and @t122 @t167 @t153)) % 0.39/0.59 (define @t190 () (or @t154 @t167)) % 0.39/0.59 (define @t191 () (not @t190)) % 0.39/0.59 (define @t192 () (or @t154 (= @t150 @t104))) % 0.39/0.59 (define @t193 () (@list @t135)) % 0.39/0.59 (define @t194 () (@list false false)) % 0.39/0.59 (define @t195 () (or @t181 (= @t169 @t131))) % 0.39/0.59 (define @t196 () (forall @t21 (or @t88 (= @t10 @t131)))) % 0.39/0.59 (define @t197 () (= @t131 @t169)) % 0.39/0.59 (define @t198 () (or @t181 @t197)) % 0.39/0.59 (define @t199 () (or @t93 (= @t169 @t10))) % 0.39/0.59 (define @t200 () (forall @t21 @t199)) % 0.39/0.59 (define @t201 () (not @t200)) % 0.39/0.59 (define @t202 () (or @t172 @t201)) % 0.39/0.59 (define @t203 () (forall @t21 (or @t93 (= @t10 @t169)))) % 0.39/0.59 (define @t204 () (not @t203)) % 0.39/0.59 (define @t205 () (or @t172 @t204)) % 0.39/0.59 (define @t206 () (@quantifiers_skolemize @t203 0)) % 0.39/0.59 (define @t207 () (= @t169 @t206)) % 0.39/0.59 (define @t208 () (_ @t91 @t206)) % 0.39/0.59 (define @t209 () (not @t208)) % 0.39/0.59 (define @t210 () (or @t209 @t207)) % 0.39/0.59 (define @t211 () (not @t210)) % 0.39/0.59 (define @t212 () (or @t209 (= @t206 @t169))) % 0.39/0.59 (define @t213 () (not @t212)) % 0.39/0.59 (define @t214 () (not @t207)) % 0.39/0.59 (define @t215 () (@list @t210)) % 0.39/0.59 (define @t216 () (= @t131 @t206)) % 0.39/0.59 (define @t217 () (not @t216)) % 0.39/0.59 (define @t218 () (not @t197)) % 0.39/0.59 (define @t219 () (and @t214 @t197)) % 0.39/0.59 (define @t220 () (@list @t206)) % 0.39/0.59 (define @t221 () (_ @t86 @t206)) % 0.39/0.59 (define @t222 () (= @t208 @t221)) % 0.39/0.59 (define @t223 () (not @t221)) % 0.39/0.59 (define @t224 () (or @t223 @t216)) % 0.39/0.59 (define @t225 () (or @t223 (= @t206 @t131))) % 0.39/0.59 (define @t226 () (not @t196)) % 0.39/0.59 (define @t227 () (@quantifiers_skolemize @t196 0)) % 0.39/0.59 (define @t228 () (= @t131 @t227)) % 0.39/0.59 (define @t229 () (_ @t86 @t227)) % 0.39/0.59 (define @t230 () (not @t229)) % 0.39/0.59 (define @t231 () (or @t230 @t228)) % 0.39/0.59 (define @t232 () (not @t231)) % 0.39/0.59 (define @t233 () (or @t230 (= @t227 @t131))) % 0.39/0.59 (define @t234 () (not @t233)) % 0.39/0.59 (define @t235 () (not @t228)) % 0.39/0.59 (define @t236 () (@list @t231)) % 0.39/0.59 (define @t237 () (= @t227 @t150)) % 0.39/0.59 (define @t238 () (not @t237)) % 0.39/0.59 (define @t239 () (= @t150 @t227)) % 0.39/0.59 (define @t240 () (and @t235 @t163)) % 0.39/0.59 (define @t241 () (or @t230 @t237)) % 0.39/0.59 (define @t242 () (not @t241)) % 0.39/0.59 (assume @p1 @t19) % 0.39/0.59 (assume @p2 true) % 0.39/0.59 (step @p3 (= tptp.exu @t26) :rule refl :args (@t26)) % 0.39/0.59 (step @p4 :rule bool-impl-elim :args (@t30 @t38)) % 0.39/0.59 (step @p5 :rule cong :premises (@p4) :args ((forall @t17 (=> @t30 @t38)))) % 0.39/0.59 (step @p6 :rule eq-symm :args (@t33 @t37)) % 0.39/0.59 (step @p7 :rule refl :args (@t35)) % 0.39/0.59 (step @p8 :rule refl :args (@t36)) % 0.39/0.59 (step @p9 :rule refl :args (@t7)) % 0.39/0.59 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t7 @t36))) % 0.39/0.59 (step @p11 :rule symm :premises (@p10)) % 0.39/0.59 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.39/0.59 (step @p13 :rule cong :premises (@p12) :args (@t39)) % 0.39/0.59 (step @p14 :rule nary_cong :premises (@p13 @p7) :args (@t40)) % 0.39/0.59 (step @p15 :rule cong :premises (@p14) :args ((forall @t4 @t40))) % 0.39/0.59 (step @p16 :rule refl :args (@t13)) % 0.39/0.59 (step @p17 :rule refl :args (@t28)) % 0.39/0.59 (step @p18 :rule refl :args (@t20)) % 0.39/0.59 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t20 @t28))) % 0.39/0.59 (step @p20 :rule symm :premises (@p19)) % 0.39/0.59 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.39/0.59 (step @p22 :rule cong :premises (@p21) :args (@t41)) % 0.39/0.59 (step @p23 :rule nary_cong :premises (@p22 @p16) :args (@t42)) % 0.39/0.59 (step @p24 :rule cong :premises (@p23) :args ((forall @t21 @t42))) % 0.39/0.59 (step @p25 :rule refl :args (@t13)) % 0.39/0.59 (step @p26 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reordering :premises (@p516) :args ((or @t223 @t216 (not @t224)))) % 0.39/0.59 (step @p518 :rule eq-symm :args (@t206 @t131)) % 0.39/0.59 (step @p519 :rule refl :args (@t223)) % 0.39/0.59 (step @p520 :rule nary_cong :premises (@p519 @p518) :args (@t225)) % 0.39/0.59 (step @p521 :rule cong :premises (@p428 @p520) :args ((=> @t196 @t225))) % 0.39/0.59 (assume-push @p660 @t196) % 0.39/0.59 (step @p523 :rule instantiate :premises (@p660) :args (@t220)) % 0.39/0.59 (step-pop @p661 :rule scope :premises (@p523)) % 0.39/0.59 (step @p524 :rule process_scope :premises (@p661) :args (@t225)) % 0.39/0.59 (step @p526 :rule eq_resolve :premises (@p524 @p521)) % 0.39/0.59 (step @p527 :rule implies_elim :premises (@p526)) % 0.39/0.59 (step @p528 :rule chain_m_resolution :premises (@p527 @p517 @p515 @p504 @p479 @p444 @p442 @p435) :args (@t226 (@list true false true true false false false) (@list @t224 @t221 @t216 @t207 @t197 @t179 @t198))) % 0.39/0.59 (step @p529 :rule refl :args (@t232)) % 0.39/0.59 (step @p530 :rule bool-double-not-elim :args (@t196)) % 0.39/0.59 (step @p531 :rule nary_cong :premises (@p530 @p529) :args ((or (not @t226) @t232))) % 0.39/0.59 (step @p532 :rule eq-symm :args (@t227 @t131)) % 0.39/0.59 (step @p533 :rule refl :args (@t230)) % 0.39/0.59 (step @p534 :rule nary_cong :premises (@p533 @p532) :args (@t233)) % 0.39/0.59 (step @p535 :rule cong :premises (@p534) :args (@t234)) % 0.39/0.59 (step @p536 :rule refl :args (@t226)) % 0.39/0.59 (step @p537 :rule cong :premises (@p536 @p535) :args ((=> @t226 @t234))) % 0.39/0.59 (assume-push @p662 @t226) % 0.39/0.59 (step @p539 :rule skolemize :premises (@p662)) % 0.39/0.59 (step-pop @p663 :rule scope :premises (@p539)) % 0.39/0.59 (step @p540 :rule process_scope :premises (@p663) :args (@t234)) % 0.39/0.59 (step @p542 :rule eq_resolve :premises (@p540 @p537)) % 0.39/0.59 (step @p543 :rule implies_elim :premises (@p542)) % 0.39/0.59 (step @p544 :rule eq_resolve :premises (@p543 @p531)) % 0.39/0.59 (step @p545 :rule chain_m_resolution :premises (@p544 @p528) :args (@t232 @t100 (@list @t196))) % 0.39/0.59 (step @p546 :rule cnf_or_neg :args (@t231 1)) % 0.39/0.59 (step @p547 :rule chain_m_resolution :premises (@p546 @p545) :args (@t235 @t100 @t236)) % 0.39/0.59 (step @p548 :rule refl :args (@t238)) % 0.39/0.59 (step @p549 :rule bool-double-not-elim :args (@t228)) % 0.39/0.59 (step @p550 :rule nary_cong :premises (@p549 @p345 @p548) :args ((or (not @t235) @t184 @t238))) % 0.39/0.59 (assume-push @p664 @t235) % 0.39/0.59 (assume-push @p665 @t163) % 0.39/0.59 (assume-push @p666 @t163) % 0.39/0.59 (assume-push @p667 @t235) % 0.39/0.59 (step @p555 :rule bool-eq-false :args (@t237)) % 0.39/0.59 (step @p556 :rule symm :premises (@p555)) % 0.39/0.59 (step @p557 :rule eq-symm :args (@t150 @t227)) % 0.39/0.59 (step @p558 :rule cong :premises (@p557) :args ((not @t239))) % 0.39/0.59 (step @p559 :rule bool-eq-false :args (@t239)) % 0.39/0.59 (step @p560 :rule trans :premises (@p559 @p558)) % 0.39/0.59 (step @p561 :rule trans :premises (@p560 @p556)) % 0.39/0.59 (step @p562 :rule false_intro :premises (@p664)) % 0.39/0.59 (step @p563 :rule refl :args (@t227)) % 0.39/0.59 (step @p564 :rule symm :premises (@p665)) % 0.39/0.59 (step @p565 :rule cong :premises (@p564 @p563) :args (@t239)) % 0.39/0.59 (step @p566 :rule trans :premises (@p565 @p562)) % 0.39/0.59 (step @p567 :rule eq_resolve :premises (@p566 @p561)) % 0.39/0.59 (step @p568 :rule false_elim :premises (@p567)) % 0.39/0.59 (step-pop @p668 :rule scope :premises (@p568)) % 0.39/0.59 (step-pop @p669 :rule scope :premises (@p668)) % 0.39/0.59 (step @p569 :rule process_scope :premises (@p669) :args (@t238)) % 0.39/0.59 (step @p572 :rule and_intro :premises (@p665 @p664)) % 0.39/0.59 (step @p573 :rule modus_ponens :premises (@p572 @p569)) % 0.39/0.59 (step-pop @p670 :rule scope :premises (@p573)) % 0.39/0.59 (step-pop @p671 :rule scope :premises (@p670)) % 0.39/0.59 (step @p574 :rule process_scope :premises (@p671) :args (@t238)) % 0.39/0.59 (step @p577 :rule implies_elim :premises (@p574)) % 0.39/0.59 (step @p578 :rule cnf_and_neg :args (@t240)) % 0.39/0.59 (step @p579 :rule resolution :premises (@p578 @p577) :args (true @t240)) % 0.39/0.59 (step @p580 :rule eq_resolve :premises (@p579 @p550)) % 0.39/0.59 (step @p581 :rule chain_m_resolution :premises (@p580 @p547 @p425) :args (@t238 @t188 (@list @t228 @t163))) % 0.39/0.59 (step @p582 :rule bool-double-not-elim :args (@t229)) % 0.39/0.59 (step @p583 :rule refl :args (@t231)) % 0.39/0.59 (step @p584 :rule nary_cong :premises (@p583 @p582) :args ((or @t231 (not @t230)))) % 0.39/0.59 (step @p585 :rule cnf_or_neg :args (@t231 0)) % 0.39/0.59 (step @p586 :rule eq_resolve :premises (@p585 @p584)) % 0.39/0.59 (step @p587 :rule reordering :premises (@p586) :args ((or @t229 @t231))) % 0.39/0.59 (step @p588 :rule chain_m_resolution :premises (@p587 @p545) :args (@t229 @t100 @t236)) % 0.39/0.59 (step @p589 :rule cnf_or_pos :args (@t241)) % 0.39/0.59 (step @p590 :rule reordering :premises (@p589) :args ((or @t230 @t237 @t242))) % 0.39/0.59 (step @p591 :rule chain_m_resolution :premises (@p590 @p588 @p581) :args (@t242 @t149 (@list @t229 @t237))) % 0.39/0.59 (assume-push @p672 @t151) % 0.39/0.59 (step @p593 :rule instantiate :premises (@p672) :args ((@list @t227))) % 0.39/0.59 (step-pop @p673 :rule scope :premises (@p593)) % 0.39/0.59 (step @p594 :rule process_scope :premises (@p673) :args (@t241)) % 0.39/0.59 (step @p596 :rule implies_elim :premises (@p594)) % 0.39/0.59 (step @p597 false :rule chain_m_resolution :premises (@p596 @p591 @p274) :args (false @t188 (@list @t241 @t151))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------