%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV128^5 : 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 : n002.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 0.41s 0.64s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEV128^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n002.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 18:15:03 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.50 %----Proving TH0 % 0.41/0.64 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.64 % SZS status Theorem % 0.41/0.64 % SZS output start Proof % 0.41/0.64 ( % 0.41/0.64 (declare-sort tptp.a 0) % 0.41/0.64 (define @t1 () (@var "Xy" tptp.a)) % 0.41/0.64 (define @t2 () (@var "Xx" tptp.a)) % 0.41/0.64 (define @t3 () (@var "Xp1" (-> tptp.a tptp.a Bool))) % 0.41/0.64 (define @t4 () (_ (_ @t3 @t2) @t1)) % 0.41/0.64 (define @t5 () (@var "Xz" tptp.a)) % 0.41/0.64 (define @t6 () (@var "Xx0" tptp.a)) % 0.41/0.64 (define @t7 () (_ @t3 @t6)) % 0.41/0.64 (define @t8 () (_ @t7 @t5)) % 0.41/0.64 (define @t9 () (@var "Xy0" tptp.a)) % 0.41/0.64 (define @t10 () (_ (_ @t3 @t9) @t5)) % 0.41/0.64 (define @t11 () (_ @t7 @t9)) % 0.41/0.64 (define @t12 () (and @t11 @t10)) % 0.41/0.64 (define @t13 () (@list @t6 @t9 @t5)) % 0.41/0.64 (define @t14 () (forall @t13 (=> @t12 @t8))) % 0.41/0.64 (define @t15 () (@var "R" (-> tptp.a tptp.a Bool))) % 0.41/0.64 (define @t16 () (_ (_ @t15 @t6) @t9)) % 0.41/0.64 (define @t17 () (@var "S" (-> (-> tptp.a tptp.a Bool) Bool))) % 0.41/0.64 (define @t18 () (_ @t17 @t15)) % 0.41/0.64 (define @t19 () (and @t18 @t16)) % 0.41/0.64 (define @t20 () (@list @t15)) % 0.41/0.64 (define @t21 () (exists @t20 @t19)) % 0.41/0.64 (define @t22 () (=> @t21 @t11)) % 0.41/0.64 (define @t23 () (@list @t6 @t9)) % 0.41/0.64 (define @t24 () (forall @t23 @t22)) % 0.41/0.64 (define @t25 () (and @t24 @t14)) % 0.41/0.64 (define @t26 () (=> @t25 @t4)) % 0.41/0.64 (define @t27 () (@list @t3)) % 0.41/0.64 (define @t28 () (forall @t27 @t26)) % 0.41/0.64 (define @t29 () (@var "Xy1" tptp.a)) % 0.41/0.64 (define @t30 () (@var "Xx1" tptp.a)) % 0.41/0.64 (define @t31 () (@var "Xp10" (-> tptp.a tptp.a Bool))) % 0.41/0.64 (define @t32 () (_ (_ @t31 @t30) @t29)) % 0.41/0.64 (define @t33 () (@var "Xx2" tptp.a)) % 0.41/0.64 (define @t34 () (_ @t31 @t33)) % 0.41/0.64 (define @t35 () (_ @t34 @t5)) % 0.41/0.64 (define @t36 () (@var "Xy2" tptp.a)) % 0.41/0.64 (define @t37 () (_ (_ @t31 @t36) @t5)) % 0.41/0.64 (define @t38 () (_ @t34 @t36)) % 0.41/0.64 (define @t39 () (and @t38 @t37)) % 0.41/0.64 (define @t40 () (@list @t33 @t36 @t5)) % 0.41/0.64 (define @t41 () (forall @t40 (=> @t39 @t35))) % 0.41/0.64 (define @t42 () (@var "Q" (-> tptp.a tptp.a Bool))) % 0.41/0.64 (define @t43 () (_ (_ @t42 @t33) @t36)) % 0.41/0.64 (define @t44 () (@list @t33 @t36)) % 0.41/0.64 (define @t45 () (forall @t44 (=> @t43 @t38))) % 0.41/0.64 (define @t46 () (and @t45 @t41)) % 0.41/0.64 (define @t47 () (=> @t46 @t32)) % 0.41/0.64 (define @t48 () (@list @t31)) % 0.41/0.64 (define @t49 () (forall @t48 @t47)) % 0.41/0.64 (define @t50 () (@list @t30 @t29)) % 0.41/0.64 (define @t51 () (lambda @t50 @t49)) % 0.41/0.64 (define @t52 () (= @t15 @t51)) % 0.41/0.64 (define @t53 () (_ @t17 @t42)) % 0.41/0.64 (define @t54 () (and @t53 @t52)) % 0.41/0.64 (define @t55 () (@list @t42)) % 0.41/0.64 (define @t56 () (exists @t55 @t54)) % 0.41/0.64 (define @t57 () (and @t56 @t16)) % 0.41/0.64 (define @t58 () (exists @t20 @t57)) % 0.41/0.64 (define @t59 () (=> @t58 @t11)) % 0.41/0.64 (define @t60 () (forall @t23 @t59)) % 0.41/0.64 (define @t61 () (and @t60 @t14)) % 0.41/0.64 (define @t62 () (=> @t61 @t4)) % 0.41/0.64 (define @t63 () (forall @t27 @t62)) % 0.41/0.64 (define @t64 () (=> @t63 @t28)) % 0.41/0.64 (define @t65 () (@list @t17 @t2 @t1)) % 0.41/0.64 (define @t66 () (forall @t65 @t64)) % 0.41/0.64 (define @t67 () (not @t66)) % 0.41/0.64 (define @t68 () (@var "BOUND_VARIABLE_7677" (-> tptp.a tptp.a Bool))) % 0.41/0.64 (define @t69 () (_ @t68 @t2 @t1)) % 0.41/0.64 (define @t70 () (_ @t68 @t6 @t9)) % 0.41/0.64 (define @t71 () (not (forall @t13 (or (not @t70) (not (_ @t68 @t9 @t5)) (_ @t68 @t6 @t5))))) % 0.41/0.64 (define @t72 () (@var "BOUND_VARIABLE_7650" (-> tptp.a tptp.a Bool))) % 0.41/0.64 (define @t73 () (not (_ @t72 @t6 @t9))) % 0.41/0.64 (define @t74 () (not (_ @t17 @t72))) % 0.41/0.64 (define @t75 () (@list @t6 @t9 @t72)) % 0.41/0.64 (define @t76 () (not (forall @t75 (or @t70 @t74 @t73)))) % 0.41/0.64 (define @t77 () (_ @t3 @t2 @t1)) % 0.41/0.64 (define @t78 () (_ @t3 @t6 @t5)) % 0.41/0.64 (define @t79 () (_ @t3 @t9 @t5)) % 0.41/0.64 (define @t80 () (_ @t3 @t6 @t9)) % 0.41/0.64 (define @t81 () (forall @t13 (or (not @t80) (not @t79) @t78))) % 0.41/0.64 (define @t82 () (not @t81)) % 0.41/0.64 (define @t83 () (@var "BOUND_VARIABLE_7591" (-> tptp.a tptp.a Bool))) % 0.41/0.64 (define @t84 () (not (_ @t17 @t83))) % 0.41/0.64 (define @t85 () (_ @t31 @t6 @t9)) % 0.41/0.64 (define @t86 () (_ @t31 @t33 @t5)) % 0.41/0.64 (define @t87 () (_ @t31 @t36 @t5)) % 0.41/0.64 (define @t88 () (_ @t31 @t33 @t36)) % 0.41/0.64 (define @t89 () (forall @t40 (or (not @t88) (not @t87) @t86))) % 0.41/0.64 (define @t90 () (not @t89)) % 0.41/0.64 (define @t91 () (not (forall @t48 (or (not (forall @t44 (or (not (_ @t83 @t33 @t36)) @t88))) @t90 @t85)))) % 0.41/0.64 (define @t92 () (or @t80 @t91 @t84)) % 0.41/0.64 (define @t93 () (@list @t6 @t9 @t83)) % 0.41/0.64 (define @t94 () (forall @t93 @t92)) % 0.41/0.64 (define @t95 () (not @t94)) % 0.41/0.64 (define @t96 () (forall @t27 (or @t95 @t82 @t77))) % 0.41/0.64 (define @t97 () (not @t96)) % 0.41/0.64 (define @t98 () (or @t97 @t76 @t71 @t69)) % 0.41/0.64 (define @t99 () (or @t76 @t71 @t69)) % 0.41/0.64 (define @t100 () (or @t97 @t99)) % 0.41/0.64 (define @t101 () (@list @t17 @t2 @t1 @t68)) % 0.41/0.64 (define @t102 () (forall @t101 @t100)) % 0.41/0.64 (define @t103 () (@list @t68)) % 0.41/0.64 (define @t104 () (forall @t103 @t100)) % 0.41/0.64 (define @t105 () (forall @t103 @t99)) % 0.41/0.64 (define @t106 () (or @t97 @t105)) % 0.41/0.64 (define @t107 () (or @t80 @t74 @t73)) % 0.41/0.64 (define @t108 () (forall @t75 @t107)) % 0.41/0.64 (define @t109 () (not @t108)) % 0.41/0.64 (define @t110 () (forall @t27 (or @t109 @t82 @t77))) % 0.41/0.64 (define @t111 () (or @t109 @t82 @t4)) % 0.41/0.64 (define @t112 () (and @t108 @t81)) % 0.41/0.64 (define @t113 () (not @t10)) % 0.41/0.64 (define @t114 () (not @t11)) % 0.41/0.64 (define @t115 () (or @t114 @t113 @t8)) % 0.41/0.64 (define @t116 () (or @t74 @t73)) % 0.41/0.64 (define @t117 () (or @t116 @t80)) % 0.41/0.64 (define @t118 () (forall @t75 @t117)) % 0.41/0.64 (define @t119 () (@list @t72)) % 0.41/0.64 (define @t120 () (forall @t119 @t117)) % 0.41/0.64 (define @t121 () (forall @t119 @t116)) % 0.41/0.64 (define @t122 () (or @t121 @t80)) % 0.41/0.64 (define @t123 () (_ @t15 @t6 @t9)) % 0.41/0.64 (define @t124 () (not @t123)) % 0.41/0.64 (define @t125 () (_ @t17 @t15)) % 0.41/0.64 (define @t126 () (forall @t20 (or (not @t125) @t124))) % 0.41/0.64 (define @t127 () (or @t126 @t11)) % 0.41/0.64 (define @t128 () (not @t126)) % 0.41/0.64 (define @t129 () (not @t16)) % 0.41/0.64 (define @t130 () (not @t18)) % 0.41/0.64 (define @t131 () (or @t130 @t129)) % 0.41/0.64 (define @t132 () (forall @t20 (not @t19))) % 0.41/0.64 (define @t133 () (not @t132)) % 0.41/0.64 (define @t134 () (or @t95 @t82 @t4)) % 0.41/0.64 (define @t135 () (and @t94 @t81)) % 0.41/0.64 (define @t136 () (or @t91 @t84)) % 0.41/0.64 (define @t137 () (or @t136 @t80)) % 0.41/0.64 (define @t138 () (forall @t93 @t137)) % 0.41/0.64 (define @t139 () (@list @t83)) % 0.41/0.64 (define @t140 () (forall @t139 @t137)) % 0.41/0.64 (define @t141 () (forall @t139 @t136)) % 0.41/0.64 (define @t142 () (@var "BOUND_VARIABLE_7548" (-> tptp.a tptp.a Bool))) % 0.41/0.64 (define @t143 () (@list @t142)) % 0.41/0.64 (define @t144 () (or @t141 @t80)) % 0.41/0.64 (define @t145 () (not (_ @t17 @t142))) % 0.41/0.64 (define @t146 () (not (forall @t44 (or (not (_ @t142 @t33 @t36)) @t88)))) % 0.41/0.64 (define @t147 () (forall @t48 (or @t146 @t90 @t85))) % 0.41/0.64 (define @t148 () (not @t147)) % 0.41/0.64 (define @t149 () (or @t148 @t145)) % 0.41/0.64 (define @t150 () (@list @t142)) % 0.41/0.64 (define @t151 () (forall @t150 @t149)) % 0.41/0.64 (define @t152 () (or @t151 @t11)) % 0.41/0.64 (define @t153 () (not @t151)) % 0.41/0.64 (define @t154 () (_ @t31 @t30 @t29)) % 0.41/0.64 (define @t155 () (lambda @t50 (forall @t48 (or @t146 @t90 @t154)))) % 0.41/0.64 (define @t156 () (not (= @t155 @t155))) % 0.41/0.64 (define @t157 () (_ @t155 @t6 @t9)) % 0.41/0.64 (define @t158 () (not @t157)) % 0.41/0.64 (define @t159 () (or @t158 @t145 @t156)) % 0.41/0.64 (define @t160 () (not (= @t15 @t155))) % 0.41/0.64 (define @t161 () (or @t160 @t124 @t145 @t160)) % 0.41/0.64 (define @t162 () (or @t124 @t145 @t160)) % 0.41/0.64 (define @t163 () (forall @t20 @t162)) % 0.41/0.64 (define @t164 () (forall @t150 @t163)) % 0.41/0.64 (define @t165 () (forall (@list @t142 @t15) @t162)) % 0.41/0.64 (define @t166 () (@list @t15 @t142)) % 0.41/0.64 (define @t167 () (or @t145 @t160)) % 0.41/0.64 (define @t168 () (or @t167 @t124)) % 0.41/0.64 (define @t169 () (forall @t166 @t168)) % 0.41/0.64 (define @t170 () (forall @t150 @t168)) % 0.41/0.64 (define @t171 () (forall @t150 @t167)) % 0.41/0.64 (define @t172 () (or @t171 @t124)) % 0.41/0.64 (define @t173 () (_ @t42 @t33 @t36)) % 0.41/0.64 (define @t174 () (forall @t44 (or (not @t173) @t88))) % 0.41/0.64 (define @t175 () (not @t174)) % 0.41/0.64 (define @t176 () (= @t15 (lambda @t50 (forall @t48 (or @t175 @t90 @t154))))) % 0.41/0.64 (define @t177 () (not @t176)) % 0.41/0.64 (define @t178 () (_ @t17 @t42)) % 0.41/0.64 (define @t179 () (forall @t55 (or (not @t178) @t177))) % 0.41/0.64 (define @t180 () (or @t179 @t129)) % 0.41/0.64 (define @t181 () (not @t179)) % 0.41/0.64 (define @t182 () (and @t181 @t16)) % 0.41/0.64 (define @t183 () (forall @t20 (not @t182))) % 0.41/0.64 (define @t184 () (not @t183)) % 0.41/0.64 (define @t185 () (not @t53)) % 0.41/0.64 (define @t186 () (or @t185 @t177)) % 0.41/0.64 (define @t187 () (and @t53 @t176)) % 0.41/0.64 (define @t188 () (forall @t55 (not @t187))) % 0.41/0.64 (define @t189 () (not @t188)) % 0.41/0.64 (define @t190 () (or @t175 @t90 @t32)) % 0.41/0.64 (define @t191 () (and @t174 @t89)) % 0.41/0.64 (define @t192 () (not @t37)) % 0.41/0.64 (define @t193 () (not @t38)) % 0.41/0.64 (define @t194 () (or @t193 @t192 @t35)) % 0.41/0.64 (define @t195 () (not @t43)) % 0.41/0.64 (define @t196 () (or @t195 @t38)) % 0.41/0.64 (define @t197 () (forall @t101 @t98)) % 0.41/0.64 (define @t198 () (@quantifiers_skolemize @t197 0)) % 0.41/0.64 (define @t199 () (@quantifiers_skolemize @t197 3)) % 0.41/0.64 (define @t200 () (_ @t199 @t6 @t9)) % 0.41/0.64 (define @t201 () (forall @t75 (or @t200 (not (_ @t198 @t72)) @t73))) % 0.41/0.64 (define @t202 () (@quantifiers_skolemize @t197 2)) % 0.41/0.64 (define @t203 () (@quantifiers_skolemize @t197 1)) % 0.41/0.64 (define @t204 () (_ @t199 @t203 @t202)) % 0.41/0.64 (define @t205 () (forall @t13 (or (not @t200) (not (_ @t199 @t9 @t5)) (_ @t199 @t6 @t5)))) % 0.41/0.64 (define @t206 () (not @t205)) % 0.41/0.64 (define @t207 () (not @t201)) % 0.41/0.64 (define @t208 () (not (_ @t198 @t83))) % 0.41/0.64 (define @t209 () (forall @t27 (or (not (forall @t93 (or @t80 @t91 @t208))) @t82 (_ @t3 @t203 @t202)))) % 0.41/0.64 (define @t210 () (not @t209)) % 0.41/0.64 (define @t211 () (or @t210 @t207 @t206 @t204)) % 0.41/0.64 (define @t212 () (@list true)) % 0.41/0.64 (define @t213 () (@list @t211)) % 0.41/0.64 (define @t214 () (@list @t199)) % 0.41/0.64 (define @t215 () (forall @t93 (or @t200 @t91 @t208))) % 0.41/0.64 (define @t216 () (not @t215)) % 0.41/0.64 (define @t217 () (or @t216 @t206 @t204)) % 0.41/0.64 (define @t218 () (@quantifiers_skolemize @t215 1)) % 0.41/0.64 (define @t219 () (@quantifiers_skolemize @t215 0)) % 0.41/0.64 (define @t220 () (@quantifiers_skolemize @t215 2)) % 0.41/0.64 (define @t221 () (not (_ @t220 @t33 @t36))) % 0.41/0.64 (define @t222 () (forall @t48 (or (not (forall @t44 (or @t221 @t88))) @t90 (_ @t31 @t219 @t218)))) % 0.41/0.64 (define @t223 () (_ @t198 @t220)) % 0.41/0.64 (define @t224 () (not @t223)) % 0.41/0.64 (define @t225 () (not @t222)) % 0.41/0.64 (define @t226 () (_ @t199 @t219 @t218)) % 0.41/0.64 (define @t227 () (or @t226 @t225 @t224)) % 0.41/0.64 (define @t228 () (@list @t227)) % 0.41/0.64 (define @t229 () (@var "BOUND_VARIABLE_8479" tptp.a)) % 0.41/0.64 (define @t230 () (@var "BOUND_VARIABLE_8477" tptp.a)) % 0.41/0.64 (define @t231 () (@var "BOUND_VARIABLE_8478" tptp.a)) % 0.41/0.64 (define @t232 () (@list @t230 @t231 @t229)) % 0.41/0.64 (define @t233 () (_ @t199 @t33 @t36)) % 0.41/0.64 (define @t234 () (forall @t40 (or (not @t233) (not (_ @t199 @t36 @t5)) (_ @t199 @t33 @t5)))) % 0.41/0.64 (define @t235 () (not @t234)) % 0.41/0.64 (define @t236 () (forall @t44 (or @t221 @t233))) % 0.41/0.64 (define @t237 () (not @t236)) % 0.41/0.64 (define @t238 () (or @t237 @t235 @t226)) % 0.41/0.64 (define @t239 () (@quantifiers_skolemize @t236 1)) % 0.41/0.64 (define @t240 () (@quantifiers_skolemize @t236 0)) % 0.41/0.64 (define @t241 () (_ @t199 @t240 @t239)) % 0.41/0.64 (define @t242 () (_ @t220 @t240 @t239)) % 0.41/0.64 (define @t243 () (not @t242)) % 0.41/0.64 (define @t244 () (or @t243 @t241)) % 0.41/0.64 (define @t245 () (@list @t244)) % 0.41/0.64 (define @t246 () (or @t241 @t224 @t243)) % 0.41/0.64 (define @t247 () (not @t246)) % 0.41/0.64 (assume @p1 @t67) % 0.41/0.64 (assume @p2 true) % 0.41/0.64 (step @p3 :rule aci_norm :args ((= @t100 @t98))) % 0.41/0.64 (step @p4 :rule cong :premises (@p3) :args (@t102)) % 0.41/0.64 (step @p5 :rule quant-merge-prenex :args ((= (forall @t65 @t104) @t102))) % 0.41/0.64 (step @p6 :rule alpha_equiv :args (@t105 (@list @t68) (@list @t3))) % 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@p21)) % 0.41/0.64 (step @p23 :rule refl :args (@t82)) % 0.41/0.64 (step @p24 :rule refl :args (@t109)) % 0.41/0.64 (step @p25 :rule nary_cong :premises (@p24 @p23 @p22) :args (@t111)) % 0.41/0.64 (step @p26 :rule cong :premises (@p25) :args ((forall @t27 @t111))) % 0.41/0.64 (step @p27 :rule aci_norm :args ((= (or (or @t109 @t82) @t4) @t111))) % 0.41/0.64 (step @p28 :rule bool-and-de-morgan :args (@t108 @t81 true)) % 0.41/0.64 (step @p29 :rule nary_cong :premises (@p28 @p19) :args ((or (not @t112) @t4))) % 0.41/0.64 (step @p30 :rule trans :premises (@p29 @p27)) % 0.41/0.64 (step @p31 :rule bool-impl-elim :args (@t112 @t4)) % 0.41/0.64 (step @p32 :rule trans :premises (@p31 @p30)) % 0.41/0.64 (step @p33 :rule cong :premises (@p32) :args ((forall @t27 (=> @t112 @t4)))) % 0.41/0.64 (step @p34 :rule trans :premises (@p33 @p26)) % 0.41/0.64 (step @p35 :rule refl :args (@t4)) % 0.41/0.64 (step @p36 :rule refl :args (@t78)) % 0.41/0.64 (step @p37 :rule refl :args (@t8)) % 0.41/0.64 (step 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@p193) :args (@t57)) % 0.41/0.64 (step @p277 :rule cong :premises (@p276) :args (@t58)) % 0.41/0.64 (step @p278 :rule trans :premises (@p277 @p192)) % 0.41/0.64 (step @p279 :rule cong :premises (@p278 @p85) :args (@t59)) % 0.41/0.64 (step @p280 :rule cong :premises (@p279) :args (@t60)) % 0.41/0.64 (step @p281 :rule trans :premises (@p280 @p144)) % 0.41/0.64 (step @p282 :rule nary_cong :premises (@p281 @p62) :args (@t61)) % 0.41/0.64 (step @p283 :rule cong :premises (@p282 @p35) :args (@t62)) % 0.41/0.64 (step @p284 :rule cong :premises (@p283) :args (@t63)) % 0.41/0.64 (step @p285 :rule trans :premises (@p284 @p123)) % 0.41/0.64 (step @p286 :rule cong :premises (@p285 @p112) :args (@t64)) % 0.41/0.64 (step @p287 :rule cong :premises (@p286) :args (@t66)) % 0.41/0.64 (step @p288 :rule trans :premises (@p287 @p17)) % 0.41/0.64 (step @p289 :rule cong :premises (@p288) :args (@t67)) % 0.41/0.64 (step @p290 :rule eq_resolve :premises (@p1 @p289)) % 0.41/0.64 (step @p291 :rule skolemize :premises (@p290)) % 0.41/0.64 (step @p292 :rule bool-double-not-elim :args (@t201)) % 0.41/0.64 (step @p293 :rule refl :args (@t211)) % 0.41/0.64 (step @p294 :rule nary_cong :premises (@p293 @p292) :args ((or @t211 (not @t207)))) % 0.41/0.64 (step @p295 :rule cnf_or_neg :args (@t211 1)) % 0.41/0.64 (step @p296 :rule eq_resolve :premises (@p295 @p294)) % 0.41/0.64 (step @p297 :rule reordering :premises (@p296) :args ((or @t201 @t211))) % 0.41/0.64 (step @p298 :rule chain_m_resolution :premises (@p297 @p291) :args (@t201 @t212 @t213)) % 0.41/0.64 (step @p299 :rule bool-double-not-elim :args (@t209)) % 0.41/0.64 (step @p300 :rule nary_cong :premises (@p293 @p299) :args ((or @t211 (not @t210)))) % 0.41/0.64 (step @p301 :rule cnf_or_neg :args (@t211 0)) % 0.41/0.64 (step @p302 :rule eq_resolve :premises (@p301 @p300)) % 0.41/0.64 (step @p303 :rule reordering :premises (@p302) :args ((or @t209 @t211))) % 0.41/0.64 (step @p304 :rule chain_m_resolution :premises (@p303 @p291) :args (@t209 @t212 @t213)) % 0.41/0.64 (step @p305 :rule instantiate :premises (@p304) :args (@t214)) % 0.41/0.64 (step @p306 :rule cnf_or_neg :args (@t211 3)) % 0.41/0.64 (step @p307 :rule chain_m_resolution :premises (@p306 @p291) :args ((not @t204) @t212 @t213)) % 0.41/0.64 (step @p308 :rule bool-double-not-elim :args (@t205)) % 0.41/0.64 (step @p309 :rule nary_cong :premises (@p293 @p308) :args ((or @t211 (not @t206)))) % 0.41/0.64 (step @p310 :rule cnf_or_neg :args (@t211 2)) % 0.41/0.64 (step @p311 :rule eq_resolve :premises (@p310 @p309)) % 0.41/0.64 (step @p312 :rule reordering :premises (@p311) :args ((or @t205 @t211))) % 0.41/0.64 (step @p313 :rule chain_m_resolution :premises (@p312 @p291) :args (@t205 @t212 @t213)) % 0.41/0.64 (step @p314 :rule cnf_or_pos :args (@t217)) % 0.41/0.64 (step @p315 :rule reordering :premises (@p314) :args ((or @t206 @t204 @t216 (not @t217)))) % 0.41/0.64 (step @p316 :rule chain_m_resolution :premises (@p315 @p313 @p307 @p305) :args (@t216 (@list false true false) (@list @t205 @t204 @t217))) % 0.41/0.64 (step @p317 :rule skolemize :premises (@p316)) % 0.41/0.64 (step @p318 :rule bool-double-not-elim :args (@t222)) % 0.41/0.64 (step @p319 :rule refl :args (@t227)) % 0.41/0.64 (step @p320 :rule nary_cong :premises (@p319 @p318) :args ((or @t227 (not @t225)))) % 0.41/0.64 (step @p321 :rule cnf_or_neg :args (@t227 1)) % 0.41/0.64 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 0.41/0.64 (step @p323 :rule reordering :premises (@p322) :args ((or @t222 @t227))) % 0.41/0.64 (step @p324 :rule chain_m_resolution :premises (@p323 @p317) :args (@t222 @t212 @t228)) % 0.41/0.64 (step @p325 :rule instantiate :premises (@p324) :args (@t214)) % 0.41/0.64 (step @p326 :rule alpha_equiv :args ((forall (@list @t230 @t231 @t229) (or (not (_ @t199 @t230 @t231)) (not (_ @t199 @t231 @t229)) (_ @t199 @t230 @t229))) @t232 (@list @t33 @t36 @t5))) % 0.41/0.64 (step @p327 :rule alpha_equiv :args (@t205 (@list @t6 @t9 @t5) @t232)) % 0.41/0.64 (step @p328 :rule trans :premises (@p327 @p326)) % 0.41/0.64 (step @p329 :rule equiv_elim1 :premises (@p328)) % 0.41/0.64 (step @p330 :rule chain_m_resolution :premises (@p329 @p313) :args (@t234 (@list false) (@list @t205))) % 0.41/0.64 (step @p331 :rule cnf_or_neg :args (@t227 0)) % 0.41/0.64 (step @p332 :rule chain_m_resolution :premises (@p331 @p317) :args ((not @t226) @t212 @t228)) % 0.41/0.64 (step @p333 :rule cnf_or_pos :args (@t238)) % 0.41/0.64 (step @p334 :rule reordering :premises (@p333) :args ((or @t226 @t237 @t235 (not @t238)))) % 0.41/0.64 (step @p335 :rule chain_m_resolution :premises (@p334 @p332 @p330 @p325) :args (@t237 (@list true false false) (@list @t226 @t234 @t238))) % 0.41/0.64 (step @p336 :rule skolemize :premises (@p335)) % 0.41/0.64 (step @p337 :rule cnf_or_neg :args (@t244 1)) % 0.41/0.64 (step @p338 :rule chain_m_resolution :premises (@p337 @p336) :args ((not @t241) @t212 @t245)) % 0.41/0.64 (step @p339 :rule bool-double-not-elim :args (@t242)) % 0.41/0.64 (step @p340 :rule refl :args (@t244)) % 0.41/0.64 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or @t244 (not @t243)))) % 0.41/0.64 (step @p342 :rule cnf_or_neg :args (@t244 0)) % 0.41/0.64 (step @p343 :rule eq_resolve :premises (@p342 @p341)) % 0.41/0.64 (step @p344 :rule reordering :premises (@p343) :args ((or @t242 @t244))) % 0.41/0.64 (step @p345 :rule chain_m_resolution :premises (@p344 @p336) :args (@t242 @t212 @t245)) % 0.41/0.64 (step @p346 :rule bool-double-not-elim :args (@t223)) % 0.41/0.64 (step @p347 :rule nary_cong :premises (@p319 @p346) :args ((or @t227 (not @t224)))) % 0.41/0.64 (step @p348 :rule cnf_or_neg :args (@t227 2)) % 0.41/0.64 (step @p349 :rule eq_resolve :premises (@p348 @p347)) % 0.41/0.64 (step @p350 :rule reordering :premises (@p349) :args ((or @t223 @t227))) % 0.41/0.64 (step @p351 :rule chain_m_resolution :premises (@p350 @p317) :args (@t223 @t212 @t228)) % 0.41/0.64 (step @p352 :rule cnf_or_pos :args (@t246)) % 0.41/0.64 (step @p353 :rule reordering :premises (@p352) :args ((or @t224 @t243 @t241 @t247))) % 0.41/0.64 (step @p354 :rule chain_m_resolution :premises (@p353 @p351 @p345 @p338) :args (@t247 (@list false false true) (@list @t223 @t242 @t241))) % 0.41/0.64 (assume-push @p361 @t201) % 0.41/0.64 (step @p356 :rule instantiate :premises (@p298) :args ((@list @t240 @t239 @t220))) % 0.41/0.64 (step-pop @p362 :rule scope :premises (@p356)) % 0.41/0.64 (step @p357 :rule process_scope :premises (@p362) :args (@t246)) % 0.41/0.64 (step @p359 :rule implies_elim :premises (@p357)) % 0.41/0.64 (step @p360 false :rule chain_m_resolution :premises (@p359 @p354 @p298) :args (false (@list true false) (@list @t246 @t201))) % 0.41/0.64 ) % 0.41/0.64 % SZS output end Proof % 0.41/0.64 % cvc5 exiting %------------------------------------------------------------------------------