%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO228^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 09:12:16 AM UTC 2026 % Result : Theorem 0.45s 0.64s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYO228^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n013.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 : Wed Jun 3 00:01:00 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 0.45/0.64 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.64 % SZS status Theorem % 0.45/0.64 % SZS output start Proof % 0.45/0.64 ( % 0.45/0.64 (declare-sort tptp.b 0) % 0.45/0.64 (declare-sort tptp.a 0) % 0.45/0.64 (declare-sort tptp.g 0) % 0.45/0.64 (define @t1 () (@var "Xy" tptp.g)) % 0.45/0.64 (define @t2 () (@var "Xh1" (-> tptp.g tptp.b))) % 0.45/0.64 (define @t3 () (_ @t2 @t1)) % 0.45/0.64 (define @t4 () (@var "Xh2" (-> tptp.b tptp.a))) % 0.45/0.64 (define @t5 () (_ @t4 @t3)) % 0.45/0.64 (define @t6 () (@var "Xx" tptp.g)) % 0.45/0.64 (define @t7 () (_ @t2 @t6)) % 0.45/0.64 (define @t8 () (_ @t4 @t7)) % 0.45/0.64 (define @t9 () (@var "Xf3" (-> tptp.a tptp.a tptp.a))) % 0.45/0.64 (define @t10 () (_ (_ @t9 @t8) @t5)) % 0.45/0.64 (define @t11 () (@var "Xf1" (-> tptp.g tptp.g tptp.g))) % 0.45/0.64 (define @t12 () (_ (_ @t11 @t6) @t1)) % 0.45/0.64 (define @t13 () (_ @t2 @t12)) % 0.45/0.64 (define @t14 () (_ @t4 @t13)) % 0.45/0.64 (define @t15 () (= @t14 @t10)) % 0.45/0.64 (define @t16 () (@var "Xs1" (-> tptp.g Bool))) % 0.45/0.64 (define @t17 () (_ @t16 @t1)) % 0.45/0.64 (define @t18 () (_ @t16 @t6)) % 0.45/0.64 (define @t19 () (and @t18 @t17 @t18 @t17)) % 0.45/0.64 (define @t20 () (@list @t6 @t1)) % 0.45/0.64 (define @t21 () (forall @t20 (=> @t19 @t15))) % 0.45/0.64 (define @t22 () (@var "Xs3" (-> tptp.a Bool))) % 0.45/0.64 (define @t23 () (_ @t22 @t8)) % 0.45/0.64 (define @t24 () (@list @t6)) % 0.45/0.64 (define @t25 () (forall @t24 (=> @t18 @t23))) % 0.45/0.64 (define @t26 () (@var "Xy" tptp.a)) % 0.45/0.64 (define @t27 () (@var "Xx" tptp.a)) % 0.45/0.64 (define @t28 () (_ (_ @t9 @t27) @t26)) % 0.45/0.64 (define @t29 () (_ @t22 @t28)) % 0.45/0.64 (define @t30 () (_ @t22 @t26)) % 0.45/0.64 (define @t31 () (_ @t22 @t27)) % 0.45/0.64 (define @t32 () (and @t31 @t30)) % 0.45/0.64 (define @t33 () (@list @t27 @t26)) % 0.45/0.64 (define @t34 () (forall @t33 (=> @t32 @t29))) % 0.45/0.64 (define @t35 () (_ @t16 @t12)) % 0.45/0.64 (define @t36 () (and @t18 @t17)) % 0.45/0.64 (define @t37 () (forall @t20 (=> @t36 @t35))) % 0.45/0.64 (define @t38 () (and @t37 @t34 @t25 @t21)) % 0.45/0.64 (define @t39 () (@var "Xy" tptp.b)) % 0.45/0.64 (define @t40 () (_ @t4 @t39)) % 0.45/0.64 (define @t41 () (@var "Xx" tptp.b)) % 0.45/0.64 (define @t42 () (_ @t4 @t41)) % 0.45/0.64 (define @t43 () (_ (_ @t9 @t42) @t40)) % 0.45/0.64 (define @t44 () (@var "Xf2" (-> tptp.b tptp.b tptp.b))) % 0.45/0.64 (define @t45 () (_ (_ @t44 @t41) @t39)) % 0.45/0.64 (define @t46 () (_ @t4 @t45)) % 0.45/0.64 (define @t47 () (= @t46 @t43)) % 0.45/0.64 (define @t48 () (@var "Xs2" (-> tptp.b Bool))) % 0.45/0.64 (define @t49 () (_ @t48 @t39)) % 0.45/0.64 (define @t50 () (_ @t48 @t41)) % 0.45/0.64 (define @t51 () (and @t50 @t49)) % 0.45/0.64 (define @t52 () (@list @t41 @t39)) % 0.45/0.64 (define @t53 () (forall @t52 (=> @t51 @t47))) % 0.45/0.64 (define @t54 () (_ @t22 @t42)) % 0.45/0.64 (define @t55 () (@list @t41)) % 0.45/0.64 (define @t56 () (forall @t55 (=> @t50 @t54))) % 0.45/0.64 (define @t57 () (_ @t48 @t45)) % 0.45/0.64 (define @t58 () (forall @t52 (=> @t51 @t57))) % 0.45/0.64 (define @t59 () (_ (_ @t44 @t7) @t3)) % 0.45/0.64 (define @t60 () (= @t13 @t59)) % 0.45/0.64 (define @t61 () (forall @t20 (=> @t36 @t60))) % 0.45/0.64 (define @t62 () (_ @t48 @t7)) % 0.45/0.64 (define @t63 () (forall @t24 (=> @t18 @t62))) % 0.45/0.64 (define @t64 () (and @t37 @t58 @t63 @t61 @t58 @t34 @t56 @t53)) % 0.45/0.64 (define @t65 () (=> @t64 @t38)) % 0.45/0.64 (define @t66 () (@list @t2 @t4 @t16 @t11 @t48 @t44 @t22 @t9)) % 0.45/0.64 (define @t67 () (forall @t66 @t65)) % 0.45/0.64 (define @t68 () (not @t67)) % 0.45/0.64 (define @t69 () (@var "BOUND_VARIABLE_7652" tptp.g)) % 0.45/0.64 (define @t70 () (@var "BOUND_VARIABLE_7650" tptp.g)) % 0.45/0.64 (define @t71 () (or (not (_ @t16 @t70)) (not (_ @t16 @t69)) (= (_ @t4 (_ @t2 (_ @t11 @t70 @t69))) (_ @t9 (_ @t4 (_ @t2 @t70)) (_ @t4 (_ @t2 @t69)))))) % 0.45/0.64 (define @t72 () (@var "BOUND_VARIABLE_7642" tptp.g)) % 0.45/0.64 (define @t73 () (or (not (_ @t16 @t72)) (_ @t22 (_ @t4 (_ @t2 @t72))))) % 0.45/0.64 (define @t74 () (@var "BOUND_VARIABLE_7633" tptp.a)) % 0.45/0.64 (define @t75 () (@var "BOUND_VARIABLE_7631" tptp.a)) % 0.45/0.64 (define @t76 () (or (not (_ @t22 @t75)) (not (_ @t22 @t74)) (_ @t22 (_ @t9 @t75 @t74)))) % 0.45/0.64 (define @t77 () (@var "BOUND_VARIABLE_7622" tptp.g)) % 0.45/0.64 (define @t78 () (@var "BOUND_VARIABLE_7620" tptp.g)) % 0.45/0.64 (define @t79 () (or (not (_ @t16 @t78)) (not (_ @t16 @t77)) (_ @t16 (_ @t11 @t78 @t77)))) % 0.45/0.64 (define @t80 () (and @t79 @t76 @t73 @t71)) % 0.45/0.64 (define @t81 () (_ @t4 @t39)) % 0.45/0.64 (define @t82 () (_ @t4 @t41)) % 0.45/0.64 (define @t83 () (_ @t9 @t82 @t81)) % 0.45/0.64 (define @t84 () (_ @t44 @t41 @t39)) % 0.45/0.64 (define @t85 () (_ @t4 @t84)) % 0.45/0.64 (define @t86 () (_ @t48 @t39)) % 0.45/0.64 (define @t87 () (not @t86)) % 0.45/0.64 (define @t88 () (_ @t48 @t41)) % 0.45/0.64 (define @t89 () (not @t88)) % 0.45/0.64 (define @t90 () (forall @t52 (or @t89 @t87 (= @t85 @t83)))) % 0.45/0.64 (define @t91 () (not @t90)) % 0.45/0.64 (define @t92 () (_ @t22 @t82)) % 0.45/0.64 (define @t93 () (forall @t55 (or @t89 @t92))) % 0.45/0.64 (define @t94 () (not @t93)) % 0.45/0.64 (define @t95 () (_ @t9 @t27 @t26)) % 0.45/0.64 (define @t96 () (_ @t22 @t95)) % 0.45/0.64 (define @t97 () (_ @t22 @t26)) % 0.45/0.64 (define @t98 () (_ @t22 @t27)) % 0.45/0.64 (define @t99 () (forall @t33 (or (not @t98) (not @t97) @t96))) % 0.45/0.64 (define @t100 () (not @t99)) % 0.45/0.64 (define @t101 () (_ @t2 @t1)) % 0.45/0.64 (define @t102 () (_ @t2 @t6)) % 0.45/0.64 (define @t103 () (_ @t44 @t102 @t101)) % 0.45/0.64 (define @t104 () (_ @t11 @t6 @t1)) % 0.45/0.64 (define @t105 () (_ @t2 @t104)) % 0.45/0.64 (define @t106 () (_ @t16 @t1)) % 0.45/0.64 (define @t107 () (not @t106)) % 0.45/0.64 (define @t108 () (_ @t16 @t6)) % 0.45/0.64 (define @t109 () (not @t108)) % 0.45/0.64 (define @t110 () (forall @t20 (or @t109 @t107 (= @t105 @t103)))) % 0.45/0.64 (define @t111 () (not @t110)) % 0.45/0.64 (define @t112 () (_ @t48 @t102)) % 0.45/0.64 (define @t113 () (forall @t24 (or @t109 @t112))) % 0.45/0.64 (define @t114 () (not @t113)) % 0.45/0.64 (define @t115 () (_ @t48 @t84)) % 0.45/0.64 (define @t116 () (forall @t52 (or @t89 @t87 @t115))) % 0.45/0.64 (define @t117 () (not @t116)) % 0.45/0.64 (define @t118 () (_ @t16 @t104)) % 0.45/0.64 (define @t119 () (forall @t20 (or @t109 @t107 @t118))) % 0.45/0.64 (define @t120 () (not @t119)) % 0.45/0.64 (define @t121 () (or @t120 @t117 @t114 @t111 @t100 @t94 @t91 @t80)) % 0.45/0.64 (define @t122 () (forall (@list @t2 @t4 @t16 @t11 @t48 @t44 @t22 @t9 @t78 @t77 @t75 @t74 @t72 @t70 @t69) @t121)) % 0.45/0.64 (define @t123 () (@list @t78 @t77 @t75 @t74 @t72 @t70 @t69)) % 0.45/0.64 (define @t124 () (forall @t123 @t121)) % 0.45/0.64 (define @t125 () (forall (@list @t70 @t69) @t71)) % 0.45/0.64 (define @t126 () (@list @t6 @t1)) % 0.45/0.64 (define @t127 () (forall @t123 @t71)) % 0.45/0.64 (define @t128 () (forall (@list @t72) @t73)) % 0.45/0.64 (define @t129 () (forall @t123 @t73)) % 0.45/0.64 (define @t130 () (forall (@list @t75 @t74) @t76)) % 0.45/0.64 (define @t131 () (forall @t123 @t76)) % 0.45/0.64 (define @t132 () (forall (@list @t78 @t77) @t79)) % 0.45/0.64 (define @t133 () (forall @t123 @t79)) % 0.45/0.64 (define @t134 () (and @t133 @t131 @t129 @t127)) % 0.45/0.64 (define @t135 () (forall @t123 @t80)) % 0.45/0.64 (define @t136 () (or @t120 @t117 @t114 @t111 @t100 @t94 @t91 @t135)) % 0.45/0.64 (define @t137 () (_ @t4 @t101)) % 0.45/0.64 (define @t138 () (_ @t4 @t102)) % 0.45/0.64 (define @t139 () (_ @t9 @t138 @t137)) % 0.45/0.64 (define @t140 () (_ @t4 @t105)) % 0.45/0.64 (define @t141 () (_ @t22 @t138)) % 0.45/0.64 (define @t142 () (and @t119 @t99 (forall @t24 (or @t109 @t141)) (forall @t20 (or @t109 @t107 (= @t140 @t139))))) % 0.45/0.64 (define @t143 () (or @t120 @t117 @t114 @t111 @t100 @t94 @t91 @t142)) % 0.45/0.64 (define @t144 () (or @t120 @t117 @t114 @t111 @t100 @t94 @t91)) % 0.45/0.64 (define @t145 () (or @t120 @t117 @t114 @t111 @t117 @t100 @t94 @t91)) % 0.45/0.64 (define @t146 () (and @t119 @t116 @t113 @t110 @t116 @t99 @t93 @t90)) % 0.45/0.64 (define @t147 () (not @t17)) % 0.45/0.64 (define @t148 () (not @t18)) % 0.45/0.64 (define @t149 () (or @t148 @t147 @t15)) % 0.45/0.64 (define @t150 () (or @t148 @t147)) % 0.45/0.64 (define @t151 () (or @t148 @t147 @t148 @t147)) % 0.45/0.64 (define @t152 () (not @t36)) % 0.45/0.64 (define @t153 () (or @t148 @t23)) % 0.45/0.64 (define @t154 () (not @t30)) % 0.45/0.64 (define @t155 () (not @t31)) % 0.45/0.64 (define @t156 () (or @t155 @t154 @t29)) % 0.45/0.64 (define @t157 () (or @t148 @t147 @t35)) % 0.45/0.64 (define @t158 () (not @t49)) % 0.45/0.64 (define @t159 () (not @t50)) % 0.45/0.64 (define @t160 () (or @t159 @t158 @t47)) % 0.45/0.64 (define @t161 () (or @t159 @t158)) % 0.45/0.64 (define @t162 () (not @t51)) % 0.45/0.64 (define @t163 () (or @t159 @t54)) % 0.45/0.64 (define @t164 () (or @t159 @t158 @t57)) % 0.45/0.64 (define @t165 () (or @t148 @t147 @t60)) % 0.45/0.64 (define @t166 () (or @t148 @t62)) % 0.45/0.64 (define @t167 () (@quantifiers_skolemize @t122 1)) % 0.45/0.64 (define @t168 () (_ @t167 @t41)) % 0.45/0.64 (define @t169 () (@quantifiers_skolemize @t122 6)) % 0.45/0.64 (define @t170 () (@quantifiers_skolemize @t122 4)) % 0.45/0.64 (define @t171 () (not (_ @t170 @t41))) % 0.45/0.64 (define @t172 () (forall @t55 (or @t171 (_ @t169 @t168)))) % 0.45/0.64 (define @t173 () (@quantifiers_skolemize @t122 14)) % 0.45/0.64 (define @t174 () (@quantifiers_skolemize @t122 0)) % 0.45/0.64 (define @t175 () (_ @t174 @t173)) % 0.45/0.64 (define @t176 () (@quantifiers_skolemize @t122 13)) % 0.45/0.64 (define @t177 () (_ @t174 @t176)) % 0.45/0.64 (define @t178 () (@quantifiers_skolemize @t122 7)) % 0.45/0.64 (define @t179 () (_ @t178 (_ @t167 @t177) (_ @t167 @t175))) % 0.45/0.64 (define @t180 () (@quantifiers_skolemize @t122 3)) % 0.45/0.64 (define @t181 () (_ @t174 (_ @t180 @t176 @t173))) % 0.45/0.64 (define @t182 () (_ @t167 @t181)) % 0.45/0.64 (define @t183 () (= @t182 @t179)) % 0.45/0.64 (define @t184 () (@quantifiers_skolemize @t122 2)) % 0.45/0.64 (define @t185 () (_ @t184 @t173)) % 0.45/0.64 (define @t186 () (not @t185)) % 0.45/0.64 (define @t187 () (_ @t184 @t176)) % 0.45/0.64 (define @t188 () (not @t187)) % 0.45/0.64 (define @t189 () (or @t188 @t186 @t183)) % 0.45/0.64 (define @t190 () (@quantifiers_skolemize @t122 12)) % 0.45/0.64 (define @t191 () (_ @t174 @t190)) % 0.45/0.64 (define @t192 () (_ @t169 (_ @t167 @t191))) % 0.45/0.64 (define @t193 () (_ @t184 @t190)) % 0.45/0.64 (define @t194 () (not @t193)) % 0.45/0.64 (define @t195 () (or @t194 @t192)) % 0.45/0.64 (define @t196 () (@quantifiers_skolemize @t122 11)) % 0.45/0.64 (define @t197 () (@quantifiers_skolemize @t122 10)) % 0.45/0.64 (define @t198 () (or (not (_ @t169 @t197)) (not (_ @t169 @t196)) (_ @t169 (_ @t178 @t197 @t196)))) % 0.45/0.64 (define @t199 () (@quantifiers_skolemize @t122 9)) % 0.45/0.64 (define @t200 () (@quantifiers_skolemize @t122 8)) % 0.45/0.64 (define @t201 () (or (not (_ @t184 @t200)) (not (_ @t184 @t199)) (_ @t184 (_ @t180 @t200 @t199)))) % 0.45/0.64 (define @t202 () (and @t201 @t198 @t195 @t189)) % 0.45/0.64 (define @t203 () (@quantifiers_skolemize @t122 5)) % 0.45/0.64 (define @t204 () (_ @t203 @t41 @t39)) % 0.45/0.64 (define @t205 () (not (_ @t170 @t39))) % 0.45/0.64 (define @t206 () (forall @t52 (or @t171 @t205 (= (_ @t167 @t204) (_ @t178 @t168 (_ @t167 @t39)))))) % 0.45/0.64 (define @t207 () (not @t206)) % 0.45/0.64 (define @t208 () (not @t172)) % 0.45/0.64 (define @t209 () (forall @t33 (or (not (_ @t169 @t27)) (not (_ @t169 @t26)) (_ @t169 (_ @t178 @t27 @t26))))) % 0.45/0.64 (define @t210 () (not @t209)) % 0.45/0.64 (define @t211 () (_ @t174 @t6)) % 0.45/0.64 (define @t212 () (_ @t180 @t6 @t1)) % 0.45/0.64 (define @t213 () (not (_ @t184 @t1))) % 0.45/0.64 (define @t214 () (not (_ @t184 @t6))) % 0.45/0.64 (define @t215 () (forall @t20 (or @t214 @t213 (= (_ @t174 @t212) (_ @t203 @t211 (_ @t174 @t1)))))) % 0.45/0.64 (define @t216 () (not @t215)) % 0.45/0.64 (define @t217 () (forall @t24 (or @t214 (_ @t170 @t211)))) % 0.45/0.64 (define @t218 () (not @t217)) % 0.45/0.64 (define @t219 () (forall @t20 (or @t214 @t213 (_ @t184 @t212)))) % 0.45/0.64 (define @t220 () (not @t219)) % 0.45/0.64 (define @t221 () (or @t220 (not (forall @t52 (or @t171 @t205 (_ @t170 @t204)))) @t218 @t216 @t210 @t208 @t207 @t202)) % 0.45/0.64 (define @t222 () (@list true)) % 0.45/0.64 (define @t223 () (@list @t221)) % 0.45/0.64 (define @t224 () (_ @t170 @t177)) % 0.45/0.64 (define @t225 () (or @t188 @t224)) % 0.45/0.64 (define @t226 () (_ @t170 @t175)) % 0.45/0.64 (define @t227 () (or @t186 @t226)) % 0.45/0.64 (define @t228 () (_ @t203 @t177 @t175)) % 0.45/0.64 (define @t229 () (= @t181 @t228)) % 0.45/0.64 (define @t230 () (or @t188 @t186 @t229)) % 0.45/0.64 (define @t231 () (_ @t167 @t228)) % 0.45/0.64 (define @t232 () (not @t226)) % 0.45/0.64 (define @t233 () (not @t224)) % 0.45/0.64 (define @t234 () (or @t233 @t232 (= @t231 @t179))) % 0.45/0.64 (define @t235 () (= @t179 @t231)) % 0.45/0.64 (define @t236 () (or @t233 @t232 @t235)) % 0.45/0.64 (define @t237 () (and @t229 @t235)) % 0.45/0.64 (define @t238 () (@list @t195)) % 0.45/0.64 (define @t239 () (_ @t170 @t191)) % 0.45/0.64 (define @t240 () (or @t194 @t239)) % 0.45/0.64 (define @t241 () (not @t239)) % 0.45/0.64 (define @t242 () (or @t241 @t192)) % 0.45/0.64 (assume @p1 @t68) % 0.45/0.64 (assume @p2 true) % 0.45/0.64 (step @p3 :rule quant-merge-prenex :args ((= (forall @t66 @t124) @t122))) % 0.45/0.64 (step @p4 :rule alpha_equiv :args (@t125 (@list @t70 @t69) @t126)) % 0.45/0.64 (step @p5 :rule quant-unused-vars :args ((= @t127 @t125))) % 0.45/0.64 (step @p6 :rule trans :premises (@p5 @p4)) % 0.45/0.64 (step @p7 :rule alpha_equiv :args (@t128 (@list @t72) (@list @t6))) % 0.45/0.64 (step @p8 :rule quant-unused-vars :args ((= @t129 @t128))) % 0.45/0.64 (step @p9 :rule trans :premises (@p8 @p7)) % 0.45/0.64 (step @p10 :rule alpha_equiv :args (@t130 (@list @t75 @t74) (@list @t27 @t26))) % 0.45/0.64 (step @p11 :rule quant-unused-vars :args ((= @t131 @t130))) % 0.45/0.64 (step @p12 :rule trans :premises (@p11 @p10)) % 0.45/0.64 (step @p13 :rule alpha_equiv :args (@t132 (@list @t78 @t77) @t126)) % 0.45/0.64 (step @p14 :rule quant-unused-vars :args ((= @t133 @t132))) % 0.45/0.64 (step @p15 :rule trans :premises (@p14 @p13)) % 0.45/0.64 (step @p16 :rule nary_cong :premises (@p15 @p12 @p9 @p6) :args (@t134)) % 0.45/0.64 (step @p17 :rule quant-miniscope-and :args ((= @t135 @t134))) % 0.45/0.64 (step @p18 :rule trans :premises (@p17 @p16)) % 0.45/0.64 (step @p19 :rule refl :args (@t91)) % 0.45/0.64 (step @p20 :rule refl :args (@t94)) % 0.45/0.64 (step @p21 :rule refl :args (@t100)) % 0.45/0.64 (step @p22 :rule refl :args (@t111)) % 0.45/0.64 (step @p23 :rule refl :args (@t114)) % 0.45/0.64 (step @p24 :rule refl :args (@t117)) % 0.45/0.64 (step @p25 :rule refl :args (@t120)) % 0.45/0.64 (step @p26 :rule nary_cong :premises (@p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18) :args (@t136)) % 0.45/0.64 (step @p27 :rule quant-miniscope-or :args ((= @t124 @t136))) % 0.45/0.64 (step @p28 :rule trans :premises (@p27 @p26)) % 0.45/0.64 (step @p29 :rule symm :premises (@p28)) % 0.45/0.64 (step @p30 :rule cong :premises (@p29) 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chain_m_resolution :premises (@p483 @p482 @p480 @p473 @p466) :args ((not @t195) (@list true false false false) (@list @t202 @t201 @t198 @t189))) % 0.45/0.64 (step @p485 :rule cnf_or_neg :args (@t195 1)) % 0.45/0.64 (step @p486 :rule chain_m_resolution :premises (@p485 @p484) :args ((not @t192) @t222 @t238)) % 0.45/0.64 (step @p487 :rule instantiate :premises (@p410) :args ((@list @t190))) % 0.45/0.64 (step @p488 :rule bool-double-not-elim :args (@t193)) % 0.45/0.64 (step @p489 :rule refl :args (@t195)) % 0.45/0.64 (step @p490 :rule nary_cong :premises (@p489 @p488) :args ((or @t195 (not @t194)))) % 0.45/0.64 (step @p491 :rule cnf_or_neg :args (@t195 0)) % 0.45/0.64 (step @p492 :rule eq_resolve :premises (@p491 @p490)) % 0.45/0.64 (step @p493 :rule reordering :premises (@p492) :args ((or @t193 @t195))) % 0.45/0.64 (step @p494 :rule chain_m_resolution :premises (@p493 @p484) :args (@t193 @t222 @t238)) % 0.45/0.64 (step @p495 :rule cnf_or_pos :args (@t240)) % 0.45/0.64 (step @p496 :rule reordering :premises (@p495) :args ((or @t194 @t239 (not @t240)))) % 0.45/0.64 (step @p497 :rule chain_m_resolution :premises (@p496 @p494 @p487) :args (@t239 (@list false false) (@list @t193 @t240))) % 0.45/0.64 (step @p498 :rule cnf_or_pos :args (@t242)) % 0.45/0.64 (step @p499 :rule reordering :premises (@p498) :args ((or @t192 @t241 (not @t242)))) % 0.45/0.64 (step @p500 false :rule chain_m_resolution :premises (@p499 @p497 @p486 @p392) :args (false (@list false true false) (@list @t239 @t192 @t242))) % 0.45/0.64 ) % 0.45/0.64 % SZS output end Proof % 0.45/0.64 % cvc5 exiting %------------------------------------------------------------------------------