%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV129^5 : 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 : n019.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 08:55:29 AM UTC 2026 % Result : Theorem 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV129^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:15:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.45/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort tptp.a 0) % 0.45/0.63 (define @t1 () (@var "Xy" tptp.a)) % 0.45/0.63 (define @t2 () (@var "Xx" tptp.a)) % 0.45/0.63 (define @t3 () (@var "Xp1" (-> tptp.a tptp.a Bool))) % 0.45/0.63 (define @t4 () (_ (_ @t3 @t2) @t1)) % 0.45/0.63 (define @t5 () (@var "Xz" tptp.a)) % 0.45/0.63 (define @t6 () (@var "Xx0" tptp.a)) % 0.45/0.63 (define @t7 () (_ @t3 @t6)) % 0.45/0.63 (define @t8 () (_ @t7 @t5)) % 0.45/0.63 (define @t9 () (@var "Xy0" tptp.a)) % 0.45/0.63 (define @t10 () (_ (_ @t3 @t9) @t5)) % 0.45/0.63 (define @t11 () (_ @t7 @t9)) % 0.45/0.63 (define @t12 () (and @t11 @t10)) % 0.45/0.63 (define @t13 () (@list @t6 @t9 @t5)) % 0.45/0.63 (define @t14 () (forall @t13 (=> @t12 @t8))) % 0.45/0.63 (define @t15 () (@var "R" (-> tptp.a tptp.a Bool))) % 0.45/0.63 (define @t16 () (_ (_ @t15 @t6) @t9)) % 0.45/0.63 (define @t17 () (@var "Xy1" tptp.a)) % 0.45/0.63 (define @t18 () (@var "Xx1" tptp.a)) % 0.45/0.63 (define @t19 () (@var "Xp10" (-> tptp.a tptp.a Bool))) % 0.45/0.63 (define @t20 () (_ (_ @t19 @t18) @t17)) % 0.45/0.63 (define @t21 () (@var "Xx2" tptp.a)) % 0.45/0.63 (define @t22 () (_ @t19 @t21)) % 0.45/0.63 (define @t23 () (_ @t22 @t5)) % 0.45/0.63 (define @t24 () (@var "Xy2" tptp.a)) % 0.45/0.63 (define @t25 () (_ (_ @t19 @t24) @t5)) % 0.45/0.63 (define @t26 () (_ @t22 @t24)) % 0.45/0.63 (define @t27 () (and @t26 @t25)) % 0.45/0.63 (define @t28 () (@list @t21 @t24 @t5)) % 0.45/0.63 (define @t29 () (forall @t28 (=> @t27 @t23))) % 0.45/0.63 (define @t30 () (@var "Q" (-> tptp.a tptp.a Bool))) % 0.45/0.63 (define @t31 () (_ (_ @t30 @t21) @t24)) % 0.45/0.63 (define @t32 () (@list @t21 @t24)) % 0.45/0.63 (define @t33 () (forall @t32 (=> @t31 @t26))) % 0.45/0.63 (define @t34 () (and @t33 @t29)) % 0.45/0.63 (define @t35 () (=> @t34 @t20)) % 0.45/0.63 (define @t36 () (@list @t19)) % 0.45/0.63 (define @t37 () (forall @t36 @t35)) % 0.45/0.63 (define @t38 () (@list @t18 @t17)) % 0.45/0.63 (define @t39 () (lambda @t38 @t37)) % 0.45/0.63 (define @t40 () (= @t15 @t39)) % 0.45/0.63 (define @t41 () (@var "S" (-> (-> tptp.a tptp.a Bool) Bool))) % 0.45/0.63 (define @t42 () (_ @t41 @t30)) % 0.45/0.63 (define @t43 () (and @t42 @t40)) % 0.45/0.63 (define @t44 () (@list @t30)) % 0.45/0.63 (define @t45 () (exists @t44 @t43)) % 0.45/0.63 (define @t46 () (and @t45 @t16)) % 0.45/0.63 (define @t47 () (@list @t15)) % 0.45/0.63 (define @t48 () (exists @t47 @t46)) % 0.45/0.63 (define @t49 () (=> @t48 @t11)) % 0.45/0.63 (define @t50 () (@list @t6 @t9)) % 0.45/0.63 (define @t51 () (forall @t50 @t49)) % 0.45/0.63 (define @t52 () (and @t51 @t14)) % 0.45/0.63 (define @t53 () (=> @t52 @t4)) % 0.45/0.63 (define @t54 () (@list @t3)) % 0.45/0.63 (define @t55 () (forall @t54 @t53)) % 0.45/0.63 (define @t56 () (_ @t41 @t15)) % 0.45/0.63 (define @t57 () (and @t56 @t16)) % 0.45/0.63 (define @t58 () (exists @t47 @t57)) % 0.45/0.63 (define @t59 () (=> @t58 @t11)) % 0.45/0.63 (define @t60 () (forall @t50 @t59)) % 0.45/0.63 (define @t61 () (and @t60 @t14)) % 0.45/0.63 (define @t62 () (=> @t61 @t4)) % 0.45/0.63 (define @t63 () (forall @t54 @t62)) % 0.45/0.63 (define @t64 () (=> @t63 @t55)) % 0.45/0.63 (define @t65 () (@list @t41 @t2 @t1)) % 0.45/0.63 (define @t66 () (forall @t65 @t64)) % 0.45/0.63 (define @t67 () (not @t66)) % 0.45/0.63 (define @t68 () (@var "BOUND_VARIABLE_7677" (-> tptp.a tptp.a Bool))) % 0.45/0.63 (define @t69 () (_ @t68 @t2 @t1)) % 0.45/0.63 (define @t70 () (_ @t68 @t6 @t9)) % 0.45/0.63 (define @t71 () (not (forall @t13 (or (not @t70) (not (_ @t68 @t9 @t5)) (_ @t68 @t6 @t5))))) % 0.45/0.63 (define @t72 () (@var "BOUND_VARIABLE_7644" (-> tptp.a tptp.a Bool))) % 0.45/0.63 (define @t73 () (not (_ @t41 @t72))) % 0.45/0.63 (define @t74 () (_ @t19 @t6 @t9)) % 0.45/0.63 (define @t75 () (_ @t19 @t21 @t5)) % 0.45/0.63 (define @t76 () (_ @t19 @t24 @t5)) % 0.45/0.63 (define @t77 () (_ @t19 @t21 @t24)) % 0.45/0.63 (define @t78 () (forall @t28 (or (not @t77) (not @t76) @t75))) % 0.45/0.63 (define @t79 () (not @t78)) % 0.45/0.63 (define @t80 () (not (forall @t36 (or (not (forall @t32 (or (not (_ @t72 @t21 @t24)) @t77))) @t79 @t74)))) % 0.45/0.63 (define @t81 () (@list @t6 @t9 @t72)) % 0.45/0.63 (define @t82 () (not (forall @t81 (or @t70 @t80 @t73)))) % 0.45/0.63 (define @t83 () (_ @t3 @t2 @t1)) % 0.45/0.63 (define @t84 () (_ @t3 @t6 @t5)) % 0.45/0.63 (define @t85 () (_ @t3 @t9 @t5)) % 0.45/0.63 (define @t86 () (_ @t3 @t6 @t9)) % 0.45/0.63 (define @t87 () (forall @t13 (or (not @t86) (not @t85) @t84))) % 0.45/0.63 (define @t88 () (not @t87)) % 0.45/0.63 (define @t89 () (@var "BOUND_VARIABLE_7507" (-> tptp.a tptp.a Bool))) % 0.45/0.63 (define @t90 () (not (_ @t89 @t6 @t9))) % 0.45/0.63 (define @t91 () (not (_ @t41 @t89))) % 0.45/0.63 (define @t92 () (or @t86 @t91 @t90)) % 0.45/0.63 (define @t93 () (@list @t6 @t9 @t89)) % 0.45/0.63 (define @t94 () (forall @t93 @t92)) % 0.45/0.63 (define @t95 () (not @t94)) % 0.45/0.63 (define @t96 () (forall @t54 (or @t95 @t88 @t83))) % 0.45/0.63 (define @t97 () (not @t96)) % 0.45/0.63 (define @t98 () (or @t97 @t82 @t71 @t69)) % 0.45/0.63 (define @t99 () (or @t82 @t71 @t69)) % 0.45/0.63 (define @t100 () (or @t97 @t99)) % 0.45/0.63 (define @t101 () (@list @t41 @t2 @t1 @t68)) % 0.45/0.63 (define @t102 () (forall @t101 @t100)) % 0.45/0.63 (define @t103 () (@list @t68)) % 0.45/0.63 (define @t104 () (forall @t103 @t100)) % 0.45/0.63 (define @t105 () (forall @t103 @t99)) % 0.45/0.63 (define @t106 () (or @t97 @t105)) % 0.45/0.63 (define @t107 () (or @t86 @t80 @t73)) % 0.45/0.63 (define @t108 () (forall @t81 @t107)) % 0.45/0.63 (define @t109 () (not @t108)) % 0.45/0.63 (define @t110 () (forall @t54 (or @t109 @t88 @t83))) % 0.45/0.63 (define @t111 () (or @t109 @t88 @t4)) % 0.45/0.63 (define @t112 () (and @t108 @t87)) % 0.45/0.63 (define @t113 () (not @t10)) % 0.45/0.63 (define @t114 () (not @t11)) % 0.45/0.63 (define @t115 () (or @t114 @t113 @t8)) % 0.45/0.63 (define @t116 () (or @t80 @t73)) % 0.45/0.63 (define @t117 () (or @t116 @t86)) % 0.45/0.63 (define @t118 () (forall @t81 @t117)) % 0.45/0.63 (define @t119 () (@list @t72)) % 0.45/0.63 (define @t120 () (forall @t119 @t117)) % 0.45/0.63 (define @t121 () (forall @t119 @t116)) % 0.45/0.63 (define @t122 () (@var "BOUND_VARIABLE_7602" (-> tptp.a tptp.a Bool))) % 0.45/0.63 (define @t123 () (@list @t122)) % 0.45/0.63 (define @t124 () (or @t121 @t86)) % 0.45/0.63 (define @t125 () (not (_ @t41 @t122))) % 0.45/0.63 (define @t126 () (not (forall @t32 (or (not (_ @t122 @t21 @t24)) @t77)))) % 0.45/0.63 (define @t127 () (forall @t36 (or @t126 @t79 @t74))) % 0.45/0.63 (define @t128 () (not @t127)) % 0.45/0.63 (define @t129 () (or @t128 @t125)) % 0.45/0.63 (define @t130 () (@list @t122)) % 0.45/0.63 (define @t131 () (forall @t130 @t129)) % 0.45/0.63 (define @t132 () (or @t131 @t11)) % 0.45/0.63 (define @t133 () (not @t131)) % 0.45/0.63 (define @t134 () (_ @t19 @t18 @t17)) % 0.45/0.63 (define @t135 () (lambda @t38 (forall @t36 (or @t126 @t79 @t134)))) % 0.45/0.63 (define @t136 () (not (= @t135 @t135))) % 0.45/0.63 (define @t137 () (_ @t135 @t6 @t9)) % 0.45/0.63 (define @t138 () (not @t137)) % 0.45/0.63 (define @t139 () (or @t138 @t125 @t136)) % 0.45/0.63 (define @t140 () (not (= @t15 @t135))) % 0.45/0.63 (define @t141 () (_ @t15 @t6 @t9)) % 0.45/0.63 (define @t142 () (not @t141)) % 0.45/0.63 (define @t143 () (or @t140 @t142 @t125 @t140)) % 0.45/0.63 (define @t144 () (or @t142 @t125 @t140)) % 0.45/0.63 (define @t145 () (forall @t47 @t144)) % 0.45/0.63 (define @t146 () (forall @t130 @t145)) % 0.45/0.63 (define @t147 () (forall (@list @t122 @t15) @t144)) % 0.45/0.63 (define @t148 () (@list @t15 @t122)) % 0.45/0.63 (define @t149 () (or @t125 @t140)) % 0.45/0.63 (define @t150 () (or @t149 @t142)) % 0.45/0.63 (define @t151 () (forall @t148 @t150)) % 0.45/0.63 (define @t152 () (forall @t130 @t150)) % 0.45/0.63 (define @t153 () (forall @t130 @t149)) % 0.45/0.63 (define @t154 () (or @t153 @t142)) % 0.45/0.63 (define @t155 () (_ @t30 @t21 @t24)) % 0.45/0.63 (define @t156 () (forall @t32 (or (not @t155) @t77))) % 0.45/0.63 (define @t157 () (not @t156)) % 0.45/0.63 (define @t158 () (= @t15 (lambda @t38 (forall @t36 (or @t157 @t79 @t134))))) % 0.45/0.63 (define @t159 () (not @t158)) % 0.45/0.63 (define @t160 () (_ @t41 @t30)) % 0.45/0.63 (define @t161 () (forall @t44 (or (not @t160) @t159))) % 0.45/0.63 (define @t162 () (not @t16)) % 0.45/0.63 (define @t163 () (or @t161 @t162)) % 0.45/0.63 (define @t164 () (not @t161)) % 0.45/0.63 (define @t165 () (and @t164 @t16)) % 0.45/0.63 (define @t166 () (forall @t47 (not @t165))) % 0.45/0.63 (define @t167 () (not @t166)) % 0.45/0.63 (define @t168 () (not @t42)) % 0.45/0.63 (define @t169 () (or @t168 @t159)) % 0.45/0.63 (define @t170 () (and @t42 @t158)) % 0.45/0.63 (define @t171 () (forall @t44 (not @t170))) % 0.45/0.63 (define @t172 () (not @t171)) % 0.45/0.63 (define @t173 () (or @t157 @t79 @t20)) % 0.45/0.63 (define @t174 () (and @t156 @t78)) % 0.45/0.63 (define @t175 () (not @t25)) % 0.45/0.63 (define @t176 () (not @t26)) % 0.45/0.63 (define @t177 () (or @t176 @t175 @t23)) % 0.45/0.63 (define @t178 () (not @t31)) % 0.45/0.63 (define @t179 () (or @t178 @t26)) % 0.45/0.63 (define @t180 () (or @t95 @t88 @t4)) % 0.45/0.63 (define @t181 () (and @t94 @t87)) % 0.45/0.63 (define @t182 () (or @t91 @t90)) % 0.45/0.63 (define @t183 () (or @t182 @t86)) % 0.45/0.63 (define @t184 () (forall @t93 @t183)) % 0.45/0.63 (define @t185 () (@list @t89)) % 0.45/0.63 (define @t186 () (forall @t185 @t183)) % 0.45/0.63 (define @t187 () (forall @t185 @t182)) % 0.45/0.63 (define @t188 () (or @t187 @t86)) % 0.45/0.63 (define @t189 () (_ @t41 @t15)) % 0.45/0.63 (define @t190 () (forall @t47 (or (not @t189) @t142))) % 0.45/0.63 (define @t191 () (or @t190 @t11)) % 0.45/0.63 (define @t192 () (not @t190)) % 0.45/0.63 (define @t193 () (not @t56)) % 0.45/0.63 (define @t194 () (or @t193 @t162)) % 0.45/0.63 (define @t195 () (forall @t47 (not @t57))) % 0.45/0.63 (define @t196 () (not @t195)) % 0.45/0.63 (define @t197 () (forall @t101 @t98)) % 0.45/0.63 (define @t198 () (@quantifiers_skolemize @t197 0)) % 0.45/0.63 (define @t199 () (@quantifiers_skolemize @t197 3)) % 0.45/0.63 (define @t200 () (_ @t199 @t6 @t9)) % 0.45/0.63 (define @t201 () (forall @t81 (or @t200 @t80 (not (_ @t198 @t72))))) % 0.45/0.63 (define @t202 () (@quantifiers_skolemize @t197 2)) % 0.45/0.63 (define @t203 () (@quantifiers_skolemize @t197 1)) % 0.45/0.63 (define @t204 () (_ @t199 @t203 @t202)) % 0.45/0.63 (define @t205 () (forall @t13 (or (not @t200) (not (_ @t199 @t9 @t5)) (_ @t199 @t6 @t5)))) % 0.45/0.63 (define @t206 () (not @t205)) % 0.45/0.63 (define @t207 () (not @t201)) % 0.45/0.63 (define @t208 () (not (_ @t198 @t89))) % 0.45/0.63 (define @t209 () (forall @t54 (or (not (forall @t93 (or @t86 @t208 @t90))) @t88 (_ @t3 @t203 @t202)))) % 0.45/0.63 (define @t210 () (not @t209)) % 0.45/0.63 (define @t211 () (or @t210 @t207 @t206 @t204)) % 0.45/0.63 (define @t212 () (@list true)) % 0.45/0.63 (define @t213 () (@list @t211)) % 0.45/0.63 (define @t214 () (forall @t93 (or @t200 @t208 @t90))) % 0.45/0.63 (define @t215 () (@quantifiers_skolemize @t214 2)) % 0.45/0.63 (define @t216 () (@quantifiers_skolemize @t214 1)) % 0.45/0.63 (define @t217 () (@quantifiers_skolemize @t214 0)) % 0.45/0.63 (define @t218 () (not @t214)) % 0.45/0.63 (define @t219 () (or @t218 @t206 @t204)) % 0.45/0.63 (define @t220 () (_ @t198 @t215)) % 0.45/0.63 (define @t221 () (_ @t215 @t217 @t216)) % 0.45/0.63 (define @t222 () (not @t221)) % 0.45/0.63 (define @t223 () (not @t220)) % 0.45/0.63 (define @t224 () (_ @t199 @t217 @t216)) % 0.45/0.63 (define @t225 () (or @t224 @t223 @t222)) % 0.45/0.63 (define @t226 () (@list @t225)) % 0.45/0.63 (define @t227 () (not (_ @t215 @t21 @t24))) % 0.45/0.63 (define @t228 () (forall @t36 (or (not (forall @t32 (or @t227 @t77))) @t79 (_ @t19 @t217 @t216)))) % 0.45/0.63 (define @t229 () (not @t228)) % 0.45/0.63 (define @t230 () (or @t224 @t229 @t223)) % 0.45/0.63 (define @t231 () (@quantifiers_skolemize @t228 0)) % 0.45/0.63 (define @t232 () (_ @t231 @t21 @t24)) % 0.45/0.63 (define @t233 () (forall @t32 (or @t227 @t232))) % 0.45/0.63 (define @t234 () (_ @t231 @t217 @t216)) % 0.45/0.63 (define @t235 () (not @t233)) % 0.45/0.63 (define @t236 () (or @t235 (not (forall @t28 (or (not @t232) (not (_ @t231 @t24 @t5)) (_ @t231 @t21 @t5)))) @t234)) % 0.45/0.63 (define @t237 () (@list @t236)) % 0.45/0.63 (define @t238 () (or @t222 @t234)) % 0.45/0.63 (define @t239 () (not @t238)) % 0.45/0.63 (assume @p1 @t67) % 0.45/0.63 (assume @p2 true) % 0.45/0.63 (step @p3 :rule aci_norm :args ((= @t100 @t98))) % 0.45/0.63 (step @p4 :rule cong :premises (@p3) :args (@t102)) % 0.45/0.63 (step @p5 :rule quant-merge-prenex :args ((= (forall @t65 @t104) @t102))) % 0.45/0.63 (step @p6 :rule alpha_equiv :args (@t105 (@list @t68) (@list @t3))) % 0.45/0.63 (step @p7 :rule refl :args (@t97)) % 0.45/0.63 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t106)) % 0.45/0.63 (step @p9 :rule quant-miniscope-or :args ((= @t104 @t106))) % 0.45/0.63 (step @p10 :rule trans :premises (@p9 @p8)) % 0.45/0.63 (step @p11 :rule symm :premises (@p10)) % 0.45/0.63 (step @p12 :rule cong :premises (@p11) :args ((forall @t65 (or @t97 @t110)))) % 0.45/0.63 (step @p13 :rule trans :premises (@p12 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(@t61)) % 0.45/0.63 (step @p283 :rule cong :premises (@p282 @p35) :args (@t62)) % 0.45/0.63 (step @p284 :rule cong :premises (@p283) :args (@t63)) % 0.45/0.63 (step @p285 :rule trans :premises (@p284 @p243)) % 0.45/0.63 (step @p286 :rule cong :premises (@p285 @p232) :args (@t64)) % 0.45/0.63 (step @p287 :rule cong :premises (@p286) :args (@t66)) % 0.45/0.63 (step @p288 :rule trans :premises (@p287 @p17)) % 0.45/0.63 (step @p289 :rule cong :premises (@p288) :args (@t67)) % 0.45/0.63 (step @p290 :rule eq_resolve :premises (@p1 @p289)) % 0.45/0.63 (step @p291 :rule skolemize :premises (@p290)) % 0.45/0.63 (step @p292 :rule bool-double-not-elim :args (@t201)) % 0.45/0.63 (step @p293 :rule refl :args (@t211)) % 0.45/0.63 (step @p294 :rule nary_cong :premises (@p293 @p292) :args ((or @t211 (not @t207)))) % 0.45/0.63 (step @p295 :rule cnf_or_neg :args (@t211 1)) % 0.45/0.63 (step @p296 :rule eq_resolve :premises (@p295 @p294)) % 0.45/0.63 (step @p297 :rule reordering :premises (@p296) :args ((or @t201 @t211))) % 0.45/0.63 (step @p298 :rule chain_m_resolution :premises (@p297 @p291) :args (@t201 @t212 @t213)) % 0.45/0.63 (step @p299 :rule instantiate :premises (@p298) :args ((@list @t217 @t216 @t215))) % 0.45/0.63 (step @p300 :rule bool-double-not-elim :args (@t209)) % 0.45/0.63 (step @p301 :rule nary_cong :premises (@p293 @p300) :args ((or @t211 (not @t210)))) % 0.45/0.63 (step @p302 :rule cnf_or_neg :args (@t211 0)) % 0.45/0.63 (step @p303 :rule eq_resolve :premises (@p302 @p301)) % 0.45/0.63 (step @p304 :rule reordering :premises (@p303) :args ((or @t209 @t211))) % 0.45/0.63 (step @p305 :rule chain_m_resolution :premises (@p304 @p291) :args (@t209 @t212 @t213)) % 0.45/0.63 (step @p306 :rule instantiate :premises (@p305) :args ((@list @t199))) % 0.45/0.63 (step @p307 :rule cnf_or_neg :args (@t211 3)) % 0.45/0.63 (step @p308 :rule chain_m_resolution :premises (@p307 @p291) :args ((not @t204) @t212 @t213)) % 0.45/0.63 (step @p309 :rule bool-double-not-elim :args (@t205)) % 0.45/0.63 (step @p310 :rule nary_cong :premises (@p293 @p309) :args ((or @t211 (not @t206)))) % 0.45/0.63 (step @p311 :rule cnf_or_neg :args (@t211 2)) % 0.45/0.63 (step @p312 :rule eq_resolve :premises (@p311 @p310)) % 0.45/0.63 (step @p313 :rule reordering :premises (@p312) :args ((or @t205 @t211))) % 0.45/0.63 (step @p314 :rule chain_m_resolution :premises (@p313 @p291) :args (@t205 @t212 @t213)) % 0.45/0.63 (step @p315 :rule cnf_or_pos :args (@t219)) % 0.45/0.63 (step @p316 :rule reordering :premises (@p315) :args ((or @t206 @t204 @t218 (not @t219)))) % 0.45/0.63 (step @p317 :rule chain_m_resolution :premises (@p316 @p314 @p308 @p306) :args (@t218 (@list false true false) (@list @t205 @t204 @t219))) % 0.45/0.63 (step @p318 :rule skolemize :premises (@p317)) % 0.45/0.63 (step @p319 :rule bool-double-not-elim :args (@t220)) % 0.45/0.63 (step @p320 :rule refl :args (@t225)) % 0.45/0.63 (step @p321 :rule nary_cong :premises (@p320 @p319) :args ((or @t225 (not @t223)))) % 0.45/0.63 (step @p322 :rule cnf_or_neg :args (@t225 1)) % 0.45/0.63 (step @p323 :rule eq_resolve :premises (@p322 @p321)) % 0.45/0.63 (step @p324 :rule reordering :premises (@p323) :args ((or @t220 @t225))) % 0.45/0.63 (step @p325 :rule chain_m_resolution :premises (@p324 @p318) :args (@t220 @t212 @t226)) % 0.45/0.63 (step @p326 :rule cnf_or_neg :args (@t225 0)) % 0.45/0.63 (step @p327 :rule chain_m_resolution :premises (@p326 @p318) :args ((not @t224) @t212 @t226)) % 0.45/0.63 (step @p328 :rule cnf_or_pos :args (@t230)) % 0.45/0.63 (step @p329 :rule reordering :premises (@p328) :args ((or @t224 @t223 @t229 (not @t230)))) % 0.45/0.63 (step @p330 :rule chain_m_resolution :premises (@p329 @p327 @p325 @p299) :args (@t229 (@list true false false) (@list @t224 @t220 @t230))) % 0.45/0.63 (step @p331 :rule skolemize :premises (@p330)) % 0.45/0.63 (step @p332 :rule bool-double-not-elim :args (@t233)) % 0.45/0.63 (step @p333 :rule refl :args (@t236)) % 0.45/0.63 (step @p334 :rule nary_cong :premises (@p333 @p332) :args ((or @t236 (not @t235)))) % 0.45/0.63 (step @p335 :rule cnf_or_neg :args (@t236 0)) % 0.45/0.63 (step @p336 :rule eq_resolve :premises (@p335 @p334)) % 0.45/0.63 (step @p337 :rule reordering :premises (@p336) :args ((or @t233 @t236))) % 0.45/0.63 (step @p338 :rule chain_m_resolution :premises (@p337 @p331) :args (@t233 @t212 @t237)) % 0.45/0.63 (step @p339 :rule cnf_or_neg :args (@t236 2)) % 0.45/0.63 (step @p340 :rule chain_m_resolution :premises (@p339 @p331) :args ((not @t234) @t212 @t237)) % 0.45/0.63 (step @p341 :rule bool-double-not-elim :args (@t221)) % 0.45/0.63 (step @p342 :rule nary_cong :premises (@p320 @p341) :args ((or @t225 (not @t222)))) % 0.45/0.63 (step @p343 :rule cnf_or_neg :args (@t225 2)) % 0.45/0.63 (step @p344 :rule eq_resolve :premises (@p343 @p342)) % 0.45/0.63 (step @p345 :rule reordering :premises (@p344) :args ((or @t221 @t225))) % 0.45/0.63 (step @p346 :rule chain_m_resolution :premises (@p345 @p318) :args (@t221 @t212 @t226)) % 0.45/0.63 (step @p347 :rule cnf_or_pos :args (@t238)) % 0.45/0.63 (step @p348 :rule reordering :premises (@p347) :args ((or @t222 @t234 @t239))) % 0.45/0.63 (step @p349 :rule chain_m_resolution :premises (@p348 @p346 @p340) :args (@t239 (@list false true) (@list @t221 @t234))) % 0.45/0.63 (assume-push @p356 @t233) % 0.45/0.63 (step @p351 :rule instantiate :premises (@p338) :args ((@list @t217 @t216))) % 0.45/0.63 (step-pop @p357 :rule scope :premises (@p351)) % 0.45/0.63 (step @p352 :rule process_scope :premises (@p357) :args (@t238)) % 0.45/0.63 (step @p354 :rule implies_elim :premises (@p352)) % 0.45/0.63 (step @p355 false :rule chain_m_resolution :premises (@p354 @p349 @p338) :args (false (@list true false) (@list @t238 @t233))) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------