%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV155^5 : 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 : n016.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 08:55:31 AM UTC 2026 % Result : Theorem 19.32s 19.52s % Output : Proof 19.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV155^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.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 18:16:39 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 19.32/19.52 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 19.32/19.52 % SZS status Theorem % 19.32/19.52 % SZS output start Proof % 19.32/19.52 ( % 19.32/19.52 (declare-sort tptp.a 0) % 19.32/19.52 (define @t1 () (@var "Xy" tptp.a)) % 19.32/19.52 (define @t2 () (@var "Xx" tptp.a)) % 19.32/19.52 (define @t3 () (@var "Xp1" (-> tptp.a tptp.a Bool))) % 19.32/19.52 (define @t4 () (_ (_ @t3 @t2) @t1)) % 19.32/19.52 (define @t5 () (@var "Xz" tptp.a)) % 19.32/19.52 (define @t6 () (@var "Xx0" tptp.a)) % 19.32/19.52 (define @t7 () (_ @t3 @t6)) % 19.32/19.52 (define @t8 () (_ @t7 @t5)) % 19.32/19.52 (define @t9 () (@var "Xy0" tptp.a)) % 19.32/19.52 (define @t10 () (_ (_ @t3 @t9) @t5)) % 19.32/19.52 (define @t11 () (_ @t7 @t9)) % 19.32/19.52 (define @t12 () (and @t11 @t10)) % 19.32/19.52 (define @t13 () (@list @t6 @t9 @t5)) % 19.32/19.52 (define @t14 () (forall @t13 (=> @t12 @t8))) % 19.32/19.52 (define @t15 () (@var "S" (-> tptp.a tptp.a Bool))) % 19.32/19.52 (define @t16 () (_ (_ @t15 @t6) @t9)) % 19.32/19.52 (define @t17 () (@var "R" (-> tptp.a tptp.a Bool))) % 19.32/19.52 (define @t18 () (_ (_ @t17 @t6) @t9)) % 19.32/19.52 (define @t19 () (or @t18 @t16)) % 19.32/19.52 (define @t20 () (@list @t6 @t9)) % 19.32/19.52 (define @t21 () (forall @t20 (=> @t19 @t11))) % 19.32/19.52 (define @t22 () (and @t21 @t14)) % 19.32/19.52 (define @t23 () (=> @t22 @t4)) % 19.32/19.52 (define @t24 () (@list @t3)) % 19.32/19.52 (define @t25 () (forall @t24 @t23)) % 19.32/19.52 (define @t26 () (@var "Xz0" tptp.a)) % 19.32/19.52 (define @t27 () (@var "Xx1" tptp.a)) % 19.32/19.52 (define @t28 () (_ @t3 @t27)) % 19.32/19.52 (define @t29 () (_ @t28 @t26)) % 19.32/19.52 (define @t30 () (@var "Xy1" tptp.a)) % 19.32/19.52 (define @t31 () (_ @t3 @t30)) % 19.32/19.52 (define @t32 () (_ @t31 @t26)) % 19.32/19.52 (define @t33 () (_ @t28 @t30)) % 19.32/19.52 (define @t34 () (and @t33 @t32)) % 19.32/19.52 (define @t35 () (@list @t27 @t30 @t26)) % 19.32/19.52 (define @t36 () (forall @t35 (=> @t34 @t29))) % 19.32/19.52 (define @t37 () (_ (_ @t15 @t27) @t30)) % 19.32/19.52 (define @t38 () (_ (_ @t17 @t27) @t30)) % 19.32/19.52 (define @t39 () (or @t38 @t37)) % 19.32/19.52 (define @t40 () (@list @t27 @t30)) % 19.32/19.52 (define @t41 () (forall @t40 (=> @t39 @t33))) % 19.32/19.52 (define @t42 () (and @t41 @t36)) % 19.32/19.52 (define @t43 () (=> @t42 @t8)) % 19.32/19.52 (define @t44 () (forall @t24 @t43)) % 19.32/19.52 (define @t45 () (=> @t42 @t10)) % 19.32/19.52 (define @t46 () (forall @t24 @t45)) % 19.32/19.52 (define @t47 () (=> @t42 @t11)) % 19.32/19.52 (define @t48 () (forall @t24 @t47)) % 19.32/19.52 (define @t49 () (and @t48 @t46)) % 19.32/19.52 (define @t50 () (=> @t49 @t44)) % 19.32/19.52 (define @t51 () (forall @t13 @t50)) % 19.32/19.52 (define @t52 () (_ @t28 @t5)) % 19.32/19.52 (define @t53 () (_ @t31 @t5)) % 19.32/19.52 (define @t54 () (and @t33 @t53)) % 19.32/19.52 (define @t55 () (@list @t27 @t30 @t5)) % 19.32/19.52 (define @t56 () (forall @t55 (=> @t54 @t52))) % 19.32/19.52 (define @t57 () (and @t41 @t56)) % 19.32/19.52 (define @t58 () (=> @t57 @t11)) % 19.32/19.52 (define @t59 () (forall @t24 @t58)) % 19.32/19.52 (define @t60 () (forall @t40 (=> @t37 @t33))) % 19.32/19.52 (define @t61 () (and @t60 @t56)) % 19.32/19.52 (define @t62 () (=> @t61 @t11)) % 19.32/19.52 (define @t63 () (forall @t24 @t62)) % 19.32/19.52 (define @t64 () (forall @t40 (=> @t38 @t33))) % 19.32/19.52 (define @t65 () (and @t64 @t56)) % 19.32/19.52 (define @t66 () (=> @t65 @t11)) % 19.32/19.52 (define @t67 () (forall @t24 @t66)) % 19.32/19.52 (define @t68 () (or @t67 @t63)) % 19.32/19.52 (define @t69 () (=> @t68 @t59)) % 19.32/19.52 (define @t70 () (forall @t20 @t69)) % 19.32/19.52 (define @t71 () (and @t70 @t51)) % 19.32/19.52 (define @t72 () (=> @t71 @t25)) % 19.32/19.52 (define @t73 () (=> @t72 @t25)) % 19.32/19.52 (define @t74 () (@list @t17 @t15 @t2 @t1)) % 19.32/19.52 (define @t75 () (forall @t74 @t73)) % 19.32/19.52 (define @t76 () (not @t75)) % 19.32/19.52 (define @t77 () (@var "BOUND_VARIABLE_7757" (-> tptp.a tptp.a Bool))) % 19.32/19.52 (define @t78 () (_ @t77 @t2 @t1)) % 19.32/19.52 (define @t79 () (_ @t77 @t6 @t9)) % 19.32/19.52 (define @t80 () (not (forall @t13 (or (not @t79) (not (_ @t77 @t9 @t5)) (_ @t77 @t6 @t5))))) % 19.32/19.52 (define @t81 () (_ @t15 @t6 @t9)) % 19.32/19.52 (define @t82 () (_ @t17 @t6 @t9)) % 19.32/19.52 (define @t83 () (and (not @t82) (not @t81))) % 19.32/19.52 (define @t84 () (not (forall @t20 (or @t83 @t79)))) % 19.32/19.52 (define @t85 () (_ @t3 @t2 @t1)) % 19.32/19.52 (define @t86 () (_ @t3 @t6 @t5)) % 19.32/19.52 (define @t87 () (_ @t3 @t9 @t5)) % 19.32/19.52 (define @t88 () (_ @t3 @t6 @t9)) % 19.32/19.52 (define @t89 () (forall @t13 (or (not @t88) (not @t87) @t86))) % 19.32/19.52 (define @t90 () (not @t89)) % 19.32/19.52 (define @t91 () (forall @t20 (or @t83 @t88))) % 19.32/19.52 (define @t92 () (not @t91)) % 19.32/19.52 (define @t93 () (forall @t24 (or @t92 @t90 @t85))) % 19.32/19.52 (define @t94 () (not @t93)) % 19.32/19.52 (define @t95 () (@var "BOUND_VARIABLE_7731" tptp.a)) % 19.32/19.52 (define @t96 () (@var "BOUND_VARIABLE_7727" tptp.a)) % 19.32/19.52 (define @t97 () (@var "BOUND_VARIABLE_7733" (-> tptp.a tptp.a Bool))) % 19.32/19.52 (define @t98 () (_ @t97 @t27 @t30)) % 19.32/19.52 (define @t99 () (_ @t15 @t27 @t30)) % 19.32/19.52 (define @t100 () (not @t99)) % 19.32/19.52 (define @t101 () (_ @t17 @t27 @t30)) % 19.32/19.52 (define @t102 () (not @t101)) % 19.32/19.52 (define @t103 () (and @t102 @t100)) % 19.32/19.52 (define @t104 () (@var "BOUND_VARIABLE_7729" tptp.a)) % 19.32/19.52 (define @t105 () (_ @t3 @t27 @t26)) % 19.32/19.52 (define @t106 () (_ @t3 @t30 @t26)) % 19.32/19.52 (define @t107 () (_ @t3 @t27 @t30)) % 19.32/19.52 (define @t108 () (not @t107)) % 19.32/19.52 (define @t109 () (forall @t35 (or @t108 (not @t106) @t105))) % 19.32/19.52 (define @t110 () (not @t109)) % 19.32/19.52 (define @t111 () (forall @t40 (or @t103 @t107))) % 19.32/19.52 (define @t112 () (not @t111)) % 19.32/19.52 (define @t113 () (or (not (forall @t24 (or @t112 @t110 (_ @t3 @t96 @t104)))) (not (forall @t24 (or @t112 @t110 (_ @t3 @t104 @t95)))) (not (forall @t40 (or @t103 @t98))) (not (forall @t35 (or (not @t98) (not (_ @t97 @t30 @t26)) (_ @t97 @t27 @t26)))) (_ @t97 @t96 @t95))) % 19.32/19.52 (define @t114 () (@var "BOUND_VARIABLE_7702" tptp.a)) % 19.32/19.52 (define @t115 () (@var "BOUND_VARIABLE_7700" tptp.a)) % 19.32/19.52 (define @t116 () (@var "BOUND_VARIABLE_7704" (-> tptp.a tptp.a Bool))) % 19.32/19.52 (define @t117 () (_ @t116 @t27 @t30)) % 19.32/19.52 (define @t118 () (_ @t3 @t115 @t114)) % 19.32/19.52 (define @t119 () (_ @t3 @t27 @t5)) % 19.32/19.52 (define @t120 () (_ @t3 @t30 @t5)) % 19.32/19.52 (define @t121 () (forall @t55 (or @t108 (not @t120) @t119))) % 19.32/19.52 (define @t122 () (not @t121)) % 19.32/19.52 (define @t123 () (forall @t40 (or @t100 @t107))) % 19.32/19.52 (define @t124 () (not @t123)) % 19.32/19.52 (define @t125 () (forall @t40 (or @t102 @t107))) % 19.32/19.52 (define @t126 () (not @t125)) % 19.32/19.52 (define @t127 () (or (and (not (forall @t24 (or @t126 @t122 @t118))) (not (forall @t24 (or @t124 @t122 @t118)))) (not (forall @t40 (or @t103 @t117))) (not (forall @t55 (or (not @t117) (not (_ @t116 @t30 @t5)) (_ @t116 @t27 @t5)))) (_ @t116 @t115 @t114))) % 19.32/19.52 (define @t128 () (and @t127 @t113 @t94)) % 19.32/19.52 (define @t129 () (or @t128 @t84 @t80 @t78)) % 19.32/19.52 (define @t130 () (@list @t17 @t15 @t2 @t1 @t115 @t114 @t116 @t96 @t104 @t95 @t97 @t77)) % 19.32/19.52 (define @t131 () (forall @t130 @t129)) % 19.32/19.52 (define @t132 () (@quantifiers_skolemize @t131 8)) % 19.32/19.52 (define @t133 () (@quantifiers_skolemize @t131 7)) % 19.32/19.52 (define @t134 () (@quantifiers_skolemize @t131 1)) % 19.32/19.52 (define @t135 () (not (_ @t134 @t27 @t30))) % 19.32/19.52 (define @t136 () (@quantifiers_skolemize @t131 0)) % 19.32/19.52 (define @t137 () (not (_ @t136 @t27 @t30))) % 19.32/19.52 (define @t138 () (and @t137 @t135)) % 19.32/19.52 (define @t139 () (not (forall @t40 (or @t138 @t107)))) % 19.32/19.52 (define @t140 () (forall @t24 (or @t139 @t110 (_ @t3 @t133 @t132)))) % 19.32/19.52 (define @t141 () (@quantifiers_skolemize @t131 9)) % 19.32/19.52 (define @t142 () (@quantifiers_skolemize @t131 10)) % 19.32/19.52 (define @t143 () (_ @t142 @t133 @t141)) % 19.32/19.52 (define @t144 () (_ @t142 @t27 @t26)) % 19.32/19.52 (define @t145 () (_ @t142 @t30 @t26)) % 19.32/19.52 (define @t146 () (_ @t142 @t27 @t30)) % 19.32/19.52 (define @t147 () (forall @t35 (or (not @t146) (not @t145) @t144))) % 19.32/19.52 (define @t148 () (not @t147)) % 19.32/19.52 (define @t149 () (forall @t40 (or @t138 @t146))) % 19.32/19.52 (define @t150 () (not @t149)) % 19.32/19.52 (define @t151 () (forall @t24 (or @t139 @t110 (_ @t3 @t132 @t141)))) % 19.32/19.52 (define @t152 () (not @t151)) % 19.32/19.52 (define @t153 () (not @t140)) % 19.32/19.52 (define @t154 () (or @t153 @t152 @t150 @t148 @t143)) % 19.32/19.52 (define @t155 () (_ @t142 @t133 @t132)) % 19.32/19.52 (define @t156 () (@var "BOUND_VARIABLE_126222" tptp.a)) % 19.32/19.52 (define @t157 () (@var "BOUND_VARIABLE_126221" tptp.a)) % 19.32/19.52 (define @t158 () (lambda (@list @t157 @t156) (_ @t142 @t157 @t156))) % 19.32/19.52 (define @t159 () (_ @t158 @t133 @t132)) % 19.32/19.52 (define @t160 () (_ @t158 @t27 @t26)) % 19.32/19.52 (define @t161 () (_ @t158 @t30 @t26)) % 19.32/19.52 (define @t162 () (not @t161)) % 19.32/19.52 (define @t163 () (_ @t158 @t27 @t30)) % 19.32/19.52 (define @t164 () (not @t163)) % 19.32/19.52 (define @t165 () (or @t164 @t162 @t160)) % 19.32/19.52 (define @t166 () (forall @t35 @t165)) % 19.32/19.52 (define @t167 () (not @t166)) % 19.32/19.52 (define @t168 () (or @t138 @t163)) % 19.32/19.52 (define @t169 () (forall @t40 @t168)) % 19.32/19.52 (define @t170 () (not @t169)) % 19.32/19.52 (define @t171 () (or @t170 @t167 @t159)) % 19.32/19.52 (define @t172 () (_ @t142 @t132 @t141)) % 19.32/19.52 (define @t173 () (@var "BOUND_VARIABLE_319866" tptp.a)) % 19.32/19.52 (define @t174 () (@var "BOUND_VARIABLE_319865" tptp.a)) % 19.32/19.52 (define @t175 () (lambda (@list @t174 @t173) (_ @t142 @t174 @t173))) % 19.32/19.52 (define @t176 () (_ @t175 @t132 @t141)) % 19.32/19.52 (define @t177 () (_ @t175 @t27 @t26)) % 19.32/19.52 (define @t178 () (_ @t175 @t30 @t26)) % 19.32/19.52 (define @t179 () (not @t178)) % 19.32/19.52 (define @t180 () (_ @t175 @t27 @t30)) % 19.32/19.52 (define @t181 () (not @t180)) % 19.32/19.52 (define @t182 () (or @t181 @t179 @t177)) % 19.32/19.52 (define @t183 () (forall @t35 @t182)) % 19.32/19.52 (define @t184 () (not @t183)) % 19.32/19.52 (define @t185 () (or @t138 @t180)) % 19.32/19.52 (define @t186 () (forall @t40 @t185)) % 19.32/19.52 (define @t187 () (not @t186)) % 19.32/19.52 (define @t188 () (or @t187 @t184 @t176)) % 19.32/19.52 (define @t189 () (or @t150 @t148 @t155)) % 19.32/19.52 (define @t190 () (or @t150 @t148 @t172)) % 19.32/19.52 (define @t191 () (not @t172)) % 19.32/19.52 (define @t192 () (not @t155)) % 19.32/19.52 (define @t193 () (or @t192 @t191 @t143)) % 19.32/19.52 (define @t194 () (or @t84 @t80 @t78)) % 19.32/19.52 (define @t195 () (or @t128 @t194)) % 19.32/19.52 (define @t196 () (forall @t130 @t195)) % 19.32/19.52 (define @t197 () (forall (@list @t115 @t114 @t116 @t96 @t104 @t95 @t97 @t77) @t195)) % 19.32/19.52 (define @t198 () (forall (@list @t77) @t194)) % 19.32/19.52 (define @t199 () (@list @t3)) % 19.32/19.52 (define @t200 () (@list @t115 @t114 @t116 @t96 @t104 @t95 @t97)) % 19.32/19.52 (define @t201 () (forall @t200 @t94)) % 19.32/19.52 (define @t202 () (forall (@list @t96 @t104 @t95 @t97) @t113)) % 19.32/19.52 (define @t203 () (@var "BOUND_VARIABLE_7636" (-> tptp.a tptp.a Bool))) % 19.32/19.52 (define @t204 () (forall @t200 @t113)) % 19.32/19.52 (define @t205 () (forall (@list @t115 @t114 @t116) @t127)) % 19.32/19.52 (define @t206 () (@var "BOUND_VARIABLE_7573" (-> tptp.a tptp.a Bool))) % 19.32/19.52 (define @t207 () (forall @t200 @t127)) % 19.32/19.52 (define @t208 () (and @t207 @t204 @t201)) % 19.32/19.52 (define @t209 () (forall @t200 @t128)) % 19.32/19.52 (define @t210 () (or @t209 @t198)) % 19.32/19.52 (define @t211 () (_ @t203 @t6 @t5)) % 19.32/19.52 (define @t212 () (_ @t203 @t27 @t30)) % 19.32/19.52 (define @t213 () (not (forall @t35 (or (not @t212) (not (_ @t203 @t30 @t26)) (_ @t203 @t27 @t26))))) % 19.32/19.52 (define @t214 () (not (forall @t40 (or @t103 @t212)))) % 19.32/19.52 (define @t215 () (forall @t24 (or @t112 @t110 @t87))) % 19.32/19.52 (define @t216 () (not @t215)) % 19.32/19.52 (define @t217 () (forall @t24 (or @t112 @t110 @t88))) % 19.32/19.52 (define @t218 () (not @t217)) % 19.32/19.52 (define @t219 () (or @t218 @t216 @t214 @t213 @t211)) % 19.32/19.52 (define @t220 () (@list @t6 @t9 @t5 @t203)) % 19.32/19.52 (define @t221 () (forall @t220 @t219)) % 19.32/19.52 (define @t222 () (_ @t206 @t6 @t9)) % 19.32/19.52 (define @t223 () (_ @t206 @t27 @t30)) % 19.32/19.52 (define @t224 () (not (forall @t55 (or (not @t223) (not (_ @t206 @t30 @t5)) (_ @t206 @t27 @t5))))) % 19.32/19.52 (define @t225 () (not (forall @t40 (or @t103 @t223)))) % 19.32/19.52 (define @t226 () (forall @t24 (or @t124 @t122 @t88))) % 19.32/19.52 (define @t227 () (forall @t24 (or @t126 @t122 @t88))) % 19.32/19.52 (define @t228 () (and (not @t227) (not @t226))) % 19.32/19.52 (define @t229 () (or @t228 @t225 @t224 @t222)) % 19.32/19.52 (define @t230 () (@list @t6 @t9 @t206)) % 19.32/19.52 (define @t231 () (forall @t230 @t229)) % 19.32/19.52 (define @t232 () (and @t231 @t221 @t94)) % 19.32/19.52 (define @t233 () (and @t231 @t221)) % 19.32/19.52 (define @t234 () (=> @t233 @t93)) % 19.32/19.52 (define @t235 () (or @t92 @t90 @t4)) % 19.32/19.52 (define @t236 () (and @t91 @t89)) % 19.32/19.52 (define @t237 () (not @t10)) % 19.32/19.52 (define @t238 () (not @t11)) % 19.32/19.52 (define @t239 () (or @t238 @t237 @t8)) % 19.32/19.52 (define @t240 () (not @t16)) % 19.32/19.52 (define @t241 () (not @t18)) % 19.32/19.52 (define @t242 () (and @t241 @t240)) % 19.32/19.52 (define @t243 () (or @t242 @t11)) % 19.32/19.52 (define @t244 () (or @t214 @t213 @t211)) % 19.32/19.52 (define @t245 () (or @t218 @t216 @t244)) % 19.32/19.52 (define @t246 () (forall @t220 @t245)) % 19.32/19.52 (define @t247 () (@list @t203)) % 19.32/19.52 (define @t248 () (forall @t247 @t245)) % 19.32/19.52 (define @t249 () (forall @t247 @t244)) % 19.32/19.52 (define @t250 () (or @t218 @t216 @t249)) % 19.32/19.52 (define @t251 () (forall @t24 (or @t112 @t110 @t86))) % 19.32/19.52 (define @t252 () (or @t218 @t216 @t251)) % 19.32/19.52 (define @t253 () (and @t217 @t215)) % 19.32/19.52 (define @t254 () (or @t112 @t110 @t8)) % 19.32/19.52 (define @t255 () (or @t112 @t110)) % 19.32/19.52 (define @t256 () (and @t111 @t109)) % 19.32/19.52 (define @t257 () (not @t256)) % 19.32/19.52 (define @t258 () (not @t32)) % 19.32/19.52 (define @t259 () (not @t33)) % 19.32/19.52 (define @t260 () (or @t259 @t258 @t29)) % 19.32/19.52 (define @t261 () (not @t37)) % 19.32/19.52 (define @t262 () (not @t38)) % 19.32/19.52 (define @t263 () (and @t262 @t261)) % 19.32/19.52 (define @t264 () (or @t263 @t33)) % 19.32/19.52 (define @t265 () (or @t112 @t110 @t10)) % 19.32/19.52 (define @t266 () (or @t112 @t110 @t11)) % 19.32/19.52 (define @t267 () (or @t225 @t224 @t222)) % 19.32/19.52 (define @t268 () (or @t228 @t267)) % 19.32/19.52 (define @t269 () (forall @t230 @t268)) % 19.32/19.52 (define @t270 () (@list @t206)) % 19.32/19.52 (define @t271 () (forall @t270 @t268)) % 19.32/19.52 (define @t272 () (forall @t270 @t267)) % 19.32/19.52 (define @t273 () (or @t228 @t272)) % 19.32/19.52 (define @t274 () (forall @t24 (or @t112 @t122 @t88))) % 19.32/19.52 (define @t275 () (or @t227 @t226)) % 19.32/19.52 (define @t276 () (or @t112 @t122 @t11)) % 19.32/19.52 (define @t277 () (and @t111 @t121)) % 19.32/19.52 (define @t278 () (not @t53)) % 19.32/19.52 (define @t279 () (or @t259 @t278 @t52)) % 19.32/19.52 (define @t280 () (or @t124 @t122 @t11)) % 19.32/19.52 (define @t281 () (and @t123 @t121)) % 19.32/19.52 (define @t282 () (or @t261 @t33)) % 19.32/19.52 (define @t283 () (or @t126 @t122 @t11)) % 19.32/19.52 (define @t284 () (and @t125 @t121)) % 19.32/19.52 (define @t285 () (or @t262 @t33)) % 19.32/19.52 (define @t286 () (@quantifiers_skolemize @t131 3)) % 19.32/19.52 (define @t287 () (@quantifiers_skolemize @t131 2)) % 19.32/19.52 (define @t288 () (@quantifiers_skolemize @t131 11)) % 19.32/19.52 (define @t289 () (_ @t288 @t287 @t286)) % 19.32/19.52 (define @t290 () (_ @t288 @t6 @t9)) % 19.32/19.52 (define @t291 () (forall @t13 (or (not @t290) (not (_ @t288 @t9 @t5)) (_ @t288 @t6 @t5)))) % 19.32/19.52 (define @t292 () (not @t291)) % 19.32/19.52 (define @t293 () (and (not (_ @t136 @t6 @t9)) (not (_ @t134 @t6 @t9)))) % 19.32/19.52 (define @t294 () (forall @t20 (or @t293 @t290))) % 19.32/19.52 (define @t295 () (not @t294)) % 19.32/19.52 (define @t296 () (forall @t24 (or (not (forall @t20 (or @t293 @t88))) @t90 (_ @t3 @t287 @t286)))) % 19.32/19.52 (define @t297 () (not @t296)) % 19.32/19.52 (define @t298 () (@quantifiers_skolemize @t131 5)) % 19.32/19.52 (define @t299 () (@quantifiers_skolemize @t131 4)) % 19.32/19.52 (define @t300 () (@quantifiers_skolemize @t131 6)) % 19.32/19.52 (define @t301 () (_ @t300 @t299 @t298)) % 19.32/19.52 (define @t302 () (_ @t300 @t27 @t30)) % 19.32/19.52 (define @t303 () (forall @t55 (or (not @t302) (not (_ @t300 @t30 @t5)) (_ @t300 @t27 @t5)))) % 19.32/19.52 (define @t304 () (not @t303)) % 19.32/19.52 (define @t305 () (forall @t40 (or @t138 @t302))) % 19.32/19.52 (define @t306 () (not @t305)) % 19.32/19.52 (define @t307 () (_ @t3 @t299 @t298)) % 19.32/19.52 (define @t308 () (forall @t24 (or (not (forall @t40 (or @t135 @t107))) @t122 @t307))) % 19.32/19.52 (define @t309 () (not @t308)) % 19.32/19.52 (define @t310 () (forall @t24 (or (not (forall @t40 (or @t137 @t107))) @t122 @t307))) % 19.32/19.52 (define @t311 () (not @t310)) % 19.32/19.52 (define @t312 () (and @t311 @t309)) % 19.32/19.52 (define @t313 () (or @t312 @t306 @t304 @t301)) % 19.32/19.52 (define @t314 () (and @t313 @t154 @t297)) % 19.32/19.52 (define @t315 () (or @t314 @t295 @t292 @t289)) % 19.32/19.52 (define @t316 () (@list true)) % 19.32/19.52 (define @t317 () (@list @t315)) % 19.32/19.52 (define @t318 () (or @t295 @t292 @t289)) % 19.32/19.52 (define @t319 () (not @t318)) % 19.32/19.52 (define @t320 () (not @t154)) % 19.32/19.52 (define @t321 () (not @t313)) % 19.32/19.52 (define @t322 () (@list true true false)) % 19.32/19.52 (define @t323 () (@list @t313)) % 19.32/19.52 (define @t324 () (forall @t40 (or @t137 @t302))) % 19.32/19.52 (define @t325 () (@quantifiers_skolemize @t324 1)) % 19.32/19.52 (define @t326 () (@quantifiers_skolemize @t324 0)) % 19.32/19.52 (define @t327 () (_ @t300 @t326 @t325)) % 19.32/19.52 (define @t328 () (_ @t136 @t326 @t325)) % 19.32/19.52 (define @t329 () (not @t328)) % 19.32/19.52 (define @t330 () (and @t329 (not (_ @t134 @t326 @t325)))) % 19.32/19.52 (define @t331 () (or @t330 @t327)) % 19.32/19.52 (define @t332 () (@list false)) % 19.32/19.52 (define @t333 () (@list @t305)) % 19.32/19.52 (define @t334 () (or @t329 @t327)) % 19.32/19.52 (define @t335 () (not @t331)) % 19.32/19.52 (define @t336 () (not @t334)) % 19.32/19.52 (define @t337 () (not @t324)) % 19.32/19.52 (define @t338 () (or @t337 @t304 @t301)) % 19.32/19.52 (define @t339 () (not @t338)) % 19.32/19.52 (define @t340 () (@list false true false)) % 19.32/19.52 (define @t341 () (@list @t300)) % 19.32/19.52 (define @t342 () (forall @t40 (or @t135 @t302))) % 19.32/19.52 (define @t343 () (not @t342)) % 19.32/19.52 (define @t344 () (or @t343 @t304 @t301)) % 19.32/19.52 (define @t345 () (@quantifiers_skolemize @t342 1)) % 19.32/19.52 (define @t346 () (@quantifiers_skolemize @t342 0)) % 19.32/19.52 (define @t347 () (_ @t300 @t346 @t345)) % 19.32/19.52 (define @t348 () (_ @t134 @t346 @t345)) % 19.32/19.52 (define @t349 () (not @t348)) % 19.32/19.52 (define @t350 () (or @t349 @t347)) % 19.32/19.52 (define @t351 () (not @t350)) % 19.32/19.52 (define @t352 () (@list @t350)) % 19.32/19.52 (define @t353 () (and (not (_ @t136 @t346 @t345)) @t349)) % 19.32/19.52 (define @t354 () (not @t353)) % 19.32/19.52 (define @t355 () (or @t353 @t347)) % 19.32/19.52 (assume @p1 @t76) % 19.32/19.52 (assume @p2 true) % 19.32/19.52 (step @p3 :rule bool-double-not-elim :args (@t140)) % 19.32/19.52 (step @p4 :rule refl :args (@t154)) % 19.32/19.52 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t154 (not @t153)))) % 19.32/19.52 (step @p6 :rule cnf_or_neg :args (@t154 0)) % 19.32/19.52 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 19.32/19.52 (step @p8 :rule reordering :premises (@p7) :args ((or @t140 @t154))) % 19.32/19.52 (step @p9 :rule bool-double-not-elim :args (@t151)) % 19.32/19.52 (step @p10 :rule nary_cong :premises (@p4 @p9) :args ((or @t154 (not @t152)))) % 19.32/19.52 (step @p11 :rule cnf_or_neg :args (@t154 1)) % 19.32/19.52 (step @p12 :rule eq_resolve :premises (@p11 @p10)) % 19.32/19.52 (step @p13 :rule reordering :premises (@p12) :args ((or @t151 @t154))) % 19.32/19.52 (step @p14 :rule bool-double-not-elim :args (@t149)) % 19.32/19.52 (step @p15 :rule nary_cong :premises (@p4 @p14) :args ((or @t154 (not @t150)))) % 19.32/19.52 (step @p16 :rule cnf_or_neg :args (@t154 2)) % 19.32/19.52 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 19.32/19.52 (step @p18 :rule reordering :premises (@p17) :args ((or @t149 @t154))) % 19.32/19.52 (step @p19 :rule bool-double-not-elim :args (@t147)) % 19.32/19.52 (step @p20 :rule nary_cong :premises (@p4 @p19) :args ((or @t154 (not @t148)))) % 19.32/19.52 (step @p21 :rule cnf_or_neg :args (@t154 3)) % 19.32/19.52 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 19.32/19.52 (step @p23 :rule reordering :premises (@p22) :args ((or @t147 @t154))) % 19.32/19.52 (step @p24 :rule cnf_or_neg :args (@t154 4)) % 19.32/19.52 (step @p25 :rule beta-reduce :args ((= @t159 @t155))) % 19.32/19.52 (step @p26 :rule beta-reduce :args ((= @t160 @t144))) % 19.32/19.52 (step @p27 :rule beta-reduce :args ((= @t161 @t145))) % 19.32/19.52 (step @p28 :rule cong :premises (@p27) :args (@t162)) % 19.32/19.52 (step @p29 :rule beta-reduce :args ((= @t163 @t146))) % 19.32/19.52 (step @p30 :rule cong :premises (@p29) :args (@t164)) % 19.32/19.52 (step @p31 :rule nary_cong :premises (@p30 @p28 @p26) :args (@t165)) % 19.32/19.52 (step @p32 :rule cong :premises (@p31) :args (@t166)) % 19.32/19.52 (step @p33 :rule cong :premises (@p32) :args (@t167)) % 19.32/19.52 (step @p34 :rule refl :args (@t138)) % 19.32/19.52 (step @p35 :rule nary_cong :premises (@p34 @p29) :args (@t168)) % 19.32/19.52 (step @p36 :rule cong :premises (@p35) :args (@t169)) % 19.32/19.52 (step @p37 :rule cong :premises (@p36) :args (@t170)) % 19.32/19.52 (step @p38 :rule nary_cong :premises (@p37 @p33 @p25) :args (@t171)) % 19.32/19.52 (step @p39 :rule refl :args (@t140)) % 19.32/19.52 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t140 @t171))) % 19.32/19.52 (assume-push @p542 @t140) % 19.32/19.52 (step @p42 :rule instantiate :premises (@p542) :args ((@list @t158))) % 19.32/19.52 (step-pop @p543 :rule scope :premises (@p42)) % 19.32/19.52 (step @p43 :rule process_scope :premises (@p543) :args (@t171)) % 19.32/19.52 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 19.32/19.52 (step @p46 :rule implies_elim :premises (@p45)) % 19.32/19.52 (step @p47 :rule beta-reduce :args ((= @t176 @t172))) % 19.32/19.52 (step @p48 :rule beta-reduce :args ((= @t177 @t144))) % 19.32/19.52 (step @p49 :rule beta-reduce :args ((= @t178 @t145))) % 19.32/19.52 (step @p50 :rule cong :premises (@p49) :args (@t179)) % 19.32/19.52 (step @p51 :rule beta-reduce :args ((= @t180 @t146))) % 19.32/19.52 (step @p52 :rule cong :premises (@p51) :args (@t181)) % 19.32/19.52 (step @p53 :rule nary_cong :premises (@p52 @p50 @p48) :args (@t182)) % 19.32/19.52 (step @p54 :rule cong :premises (@p53) :args (@t183)) % 19.32/19.52 (step @p55 :rule cong :premises (@p54) :args (@t184)) % 19.32/19.52 (step @p56 :rule nary_cong :premises (@p34 @p51) :args (@t185)) % 19.32/19.52 (step @p57 :rule cong :premises (@p56) :args (@t186)) % 19.32/19.52 (step @p58 :rule cong :premises (@p57) :args (@t187)) % 19.32/19.52 (step @p59 :rule nary_cong :premises (@p58 @p55 @p47) :args (@t188)) % 19.32/19.52 (step @p60 :rule refl :args (@t151)) % 19.32/19.52 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t151 @t188))) % 19.32/19.52 (assume-push @p544 @t151) % 19.32/19.52 (step @p63 :rule instantiate :premises (@p544) :args ((@list @t175))) % 19.32/19.52 (step-pop @p545 :rule scope :premises (@p63)) % 19.32/19.52 (step @p64 :rule process_scope :premises (@p545) :args (@t188)) % 19.32/19.52 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 19.32/19.52 (step @p67 :rule implies_elim :premises (@p66)) % 19.32/19.52 (step @p68 :rule cnf_or_pos :args (@t189)) % 19.32/19.52 (step @p69 :rule reordering :premises (@p68) :args ((or @t150 @t148 @t155 (not @t189)))) % 19.32/19.52 (step @p70 :rule cnf_or_pos :args (@t190)) % 19.32/19.52 (step @p71 :rule reordering :premises (@p70) :args ((or @t150 @t148 @t172 (not @t190)))) % 19.32/19.52 (assume-push @p546 @t147) % 19.32/19.52 (step @p73 :rule instantiate :premises (@p546) :args ((@list @t133 @t132 @t141))) % 19.32/19.52 (step-pop @p547 :rule scope :premises (@p73)) % 19.32/19.52 (step @p74 :rule process_scope :premises (@p547) :args (@t193)) % 19.32/19.52 (step @p76 :rule implies_elim :premises (@p74)) % 19.32/19.52 (step @p77 :rule cnf_or_pos :args (@t193)) % 19.32/19.52 (step @p78 :rule reordering :premises (@p77) :args ((or @t143 @t192 @t191 (not @t193)))) % 19.32/19.52 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p71 @p69 @p67 @p46 @p24 @p23 @p18 @p13 @p8) :args (@t154 (@list false false false false false true false false false false) (@list @t193 @t172 @t155 @t190 @t189 @t143 @t147 @t149 @t151 @t140))) % 19.32/19.52 (step @p80 :rule aci_norm :args ((= @t195 @t129))) % 19.32/19.52 (step @p81 :rule cong :premises (@p80) :args (@t196)) % 19.32/19.52 (step @p82 :rule quant-merge-prenex :args ((= (forall @t74 @t197) @t196))) % 19.32/19.52 (step @p83 :rule alpha_equiv :args (@t198 (@list @t77) @t199)) % 19.32/19.52 (step @p84 :rule quant-unused-vars :args ((= @t201 @t94))) % 19.32/19.52 (step @p85 :rule alpha_equiv :args (@t202 (@list @t96 @t104 @t95 @t97) (@list @t6 @t9 @t5 @t203))) % 19.32/19.52 (step @p86 :rule quant-unused-vars :args ((= @t204 @t202))) % 19.32/19.52 (step @p87 :rule trans :premises (@p86 @p85)) % 19.32/19.52 (step @p88 :rule alpha_equiv :args (@t205 (@list @t115 @t114 @t116) (@list @t6 @t9 @t206))) % 19.32/19.52 (step @p89 :rule quant-unused-vars :args ((= @t207 @t205))) % 19.32/19.52 (step @p90 :rule trans :premises (@p89 @p88)) % 19.32/19.52 (step @p91 :rule nary_cong :premises (@p90 @p87 @p84) :args (@t208)) % 19.32/19.52 (step @p92 :rule quant-miniscope-and :args ((= @t209 @t208))) % 19.32/19.52 (step @p93 :rule trans :premises (@p92 @p91)) % 19.32/19.52 (step @p94 :rule nary_cong :premises (@p93 @p83) :args (@t210)) % 19.32/19.52 (step @p95 :rule quant-miniscope-or :args ((= @t197 @t210))) % 19.32/19.52 (step @p96 :rule trans :premises (@p95 @p94)) % 19.32/19.52 (step @p97 :rule symm :premises (@p96)) % 19.32/19.52 (step @p98 :rule cong :premises (@p97) :args ((forall @t74 (or @t232 @t93)))) % 19.32/19.52 (step @p99 :rule trans :premises (@p98 @p82)) % 19.32/19.52 (step @p100 :rule trans :premises (@p99 @p81)) % 19.32/19.52 (step @p101 :rule refl :args (@t93)) % 19.32/19.52 (step @p102 :rule aci_norm :args ((= (and @t233 @t94) @t232))) % 19.32/19.52 (step @p103 :rule bool-implies-de-morgan :args (@t233 @t93)) % 19.32/19.52 (step @p104 :rule trans :premises (@p103 @p102)) % 19.32/19.52 (step @p105 :rule nary_cong :premises (@p104 @p101) :args ((or (not @t234) @t93))) % 19.32/19.52 (step @p106 :rule bool-impl-elim :args (@t234 @t93)) % 19.32/19.52 (step @p107 :rule trans :premises (@p106 @p105)) % 19.32/19.52 (step @p108 :rule cong :premises (@p107) :args ((forall @t74 (=> @t234 @t93)))) % 19.32/19.52 (step @p109 :rule trans :premises (@p108 @p100)) % 19.32/19.52 (step @p110 :rule refl :args (@t85)) % 19.32/19.52 (step @p111 :rule refl :args (@t4)) % 19.32/19.52 (step @p112 :rule cong :premises (@p111 @p110) :args ((= @t4 @t85))) % 19.32/19.52 (step @p113 :rule symm :premises (@p112)) % 19.32/19.52 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 19.32/19.52 (step @p115 :rule refl :args (@t90)) % 19.32/19.52 (step @p116 :rule refl :args (@t92)) % 19.32/19.52 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114) :args (@t235)) % 19.32/19.52 (step @p118 :rule cong :premises (@p117) :args ((forall @t24 @t235))) % 19.32/19.52 (step @p119 :rule aci_norm :args ((= (or (or @t92 @t90) @t4) @t235))) % 19.32/19.52 (step @p120 :rule bool-and-de-morgan :args (@t91 @t89 true)) % 19.32/19.52 (step @p121 :rule nary_cong :premises (@p120 @p111) :args ((or (not @t236) @t4))) % 19.32/19.52 (step @p122 :rule trans :premises (@p121 @p119)) % 19.32/19.52 (step @p123 :rule bool-impl-elim :args (@t236 @t4)) % 19.32/19.52 (step @p124 :rule trans :premises (@p123 @p122)) % 19.32/19.52 (step @p125 :rule cong :premises (@p124) :args ((forall @t24 (=> @t236 @t4)))) % 19.32/19.52 (step @p126 :rule trans :premises (@p125 @p118)) % 19.32/19.52 (step @p127 :rule refl :args (@t4)) % 19.32/19.52 (step 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@p382 :rule trans :premises (@p381 @p374)) % 19.32/19.52 (step @p383 :rule nary_cong :premises (@p253 @p230) :args (@t285)) % 19.32/19.52 (step @p384 :rule cong :premises (@p383) :args ((forall @t40 @t285))) % 19.32/19.52 (step @p385 :rule bool-impl-elim :args (@t38 @t33)) % 19.32/19.52 (step @p386 :rule cong :premises (@p385) :args (@t64)) % 19.32/19.52 (step @p387 :rule trans :premises (@p386 @p384)) % 19.32/19.52 (step @p388 :rule nary_cong :premises (@p387 @p347) :args (@t65)) % 19.32/19.52 (step @p389 :rule cong :premises (@p388 @p289) :args (@t66)) % 19.32/19.52 (step @p390 :rule cong :premises (@p389) :args (@t67)) % 19.32/19.52 (step @p391 :rule trans :premises (@p390 @p382)) % 19.32/19.52 (step @p392 :rule nary_cong :premises (@p391 @p371) :args (@t68)) % 19.32/19.52 (step @p393 :rule cong :premises (@p392 @p351) :args (@t69)) % 19.32/19.52 (step @p394 :rule cong :premises (@p393) :args (@t70)) % 19.32/19.52 (step @p395 :rule trans :premises (@p394 @p315)) % 19.32/19.52 (step @p396 :rule nary_cong :premises (@p395 @p296) :args (@t71)) % 19.32/19.52 (step @p397 :rule cong :premises (@p396 @p179) :args (@t72)) % 19.32/19.52 (step @p398 :rule cong :premises (@p397 @p179) :args (@t73)) % 19.32/19.52 (step @p399 :rule cong :premises (@p398) :args (@t75)) % 19.32/19.52 (step @p400 :rule trans :premises (@p399 @p109)) % 19.32/19.52 (step @p401 :rule cong :premises (@p400) :args (@t76)) % 19.32/19.52 (step @p402 :rule eq_resolve :premises (@p1 @p401)) % 19.32/19.52 (step @p403 :rule skolemize :premises (@p402)) % 19.32/19.52 (step @p404 :rule cnf_or_neg :args (@t315 0)) % 19.32/19.52 (step @p405 :rule chain_m_resolution :premises (@p404 @p403) :args ((not @t314) @t316 @t317)) % 19.32/19.52 (step @p406 :rule cnf_or_neg :args (@t315 3)) % 19.32/19.52 (step @p407 :rule chain_m_resolution :premises (@p406 @p403) :args ((not @t289) @t316 @t317)) % 19.32/19.52 (step @p408 :rule bool-double-not-elim :args (@t291)) % 19.32/19.52 (step @p409 :rule refl :args (@t315)) % 19.32/19.52 (step @p410 :rule nary_cong :premises (@p409 @p408) :args ((or @t315 (not @t292)))) % 19.32/19.52 (step @p411 :rule cnf_or_neg :args (@t315 2)) % 19.32/19.52 (step @p412 :rule eq_resolve :premises (@p411 @p410)) % 19.32/19.52 (step @p413 :rule reordering :premises (@p412) :args ((or @t291 @t315))) % 19.32/19.52 (step @p414 :rule chain_m_resolution :premises (@p413 @p403) :args (@t291 @t316 @t317)) % 19.32/19.52 (step @p415 :rule bool-double-not-elim :args (@t294)) % 19.32/19.52 (step @p416 :rule nary_cong :premises (@p409 @p415) :args ((or @t315 (not @t295)))) % 19.32/19.52 (step @p417 :rule cnf_or_neg :args (@t315 1)) % 19.32/19.52 (step @p418 :rule eq_resolve :premises (@p417 @p416)) % 19.32/19.52 (step @p419 :rule reordering :premises (@p418) :args ((or @t294 @t315))) % 19.32/19.52 (step @p420 :rule chain_m_resolution :premises (@p419 @p403) :args (@t294 @t316 @t317)) % 19.32/19.52 (step @p421 :rule cnf_or_pos :args (@t318)) % 19.32/19.52 (step @p422 :rule reordering :premises (@p421) :args ((or @t295 @t292 @t289 @t319))) % 19.32/19.52 (step @p423 :rule chain_m_resolution :premises (@p422 @p420 @p414 @p407) :args (@t319 (@list false false true) (@list @t294 @t291 @t289))) % 19.32/19.52 (assume-push @p548 @t296) % 19.32/19.52 (step @p425 :rule instantiate :premises (@p548) :args ((@list @t288))) % 19.32/19.52 (step-pop @p549 :rule scope :premises (@p425)) % 19.32/19.52 (step @p426 :rule process_scope :premises (@p549) :args (@t318)) % 19.32/19.52 (step @p428 :rule implies_elim :premises (@p426)) % 19.32/19.52 (step @p429 :rule chain_m_resolution :premises (@p428 @p423) :args (@t297 @t316 (@list @t318))) % 19.32/19.52 (step @p430 :rule bool-double-not-elim :args (@t296)) % 19.32/19.52 (step @p431 :rule refl :args (@t320)) % 19.32/19.52 (step @p432 :rule refl :args (@t321)) % 19.32/19.52 (step @p433 :rule refl :args (@t314)) % 19.32/19.52 (step @p434 :rule nary_cong :premises (@p433 @p432 @p431 @p430) :args ((or @t314 @t321 @t320 (not @t297)))) % 19.32/19.52 (step @p435 :rule cnf_and_neg :args (@t314)) % 19.32/19.52 (step @p436 :rule eq_resolve :premises (@p435 @p434)) % 19.32/19.52 (step @p437 :rule reordering :premises (@p436) :args ((or @t296 @t314 @t321 @t320))) % 19.32/19.52 (step @p438 :rule chain_m_resolution :premises (@p437 @p429 @p405 @p79) :args (@t321 @t322 (@list @t296 @t314 @t154))) % 19.32/19.52 (step @p439 :rule cnf_or_neg :args (@t313 0)) % 19.32/19.52 (step @p440 :rule chain_m_resolution :premises (@p439 @p438) :args ((not @t312) @t316 @t323)) % 19.32/19.52 (step @p441 :rule bool-double-not-elim :args (@t305)) % 19.32/19.52 (step @p442 :rule refl :args (@t313)) % 19.32/19.52 (step @p443 :rule nary_cong :premises (@p442 @p441) :args ((or @t313 (not @t306)))) % 19.32/19.52 (step @p444 :rule cnf_or_neg :args (@t313 1)) % 19.32/19.52 (step @p445 :rule eq_resolve :premises (@p444 @p443)) % 19.32/19.52 (step @p446 :rule reordering :premises (@p445) :args ((or @t305 @t313))) % 19.32/19.52 (step @p447 :rule chain_m_resolution :premises (@p446 @p438) :args (@t305 @t316 @t323)) % 19.32/19.52 (assume-push @p550 @t305) % 19.32/19.52 (step @p449 :rule instantiate :premises (@p550) :args ((@list @t326 @t325))) % 19.32/19.52 (step-pop @p551 :rule scope :premises (@p449)) % 19.32/19.52 (step @p450 :rule process_scope :premises (@p551) :args (@t331)) % 19.32/19.52 (step @p452 :rule implies_elim :premises (@p450)) % 19.32/19.52 (step @p453 :rule chain_m_resolution :premises (@p452 @p447) :args (@t331 @t332 @t333)) % 19.32/19.52 (step @p454 :rule bool-double-not-elim :args (@t328)) % 19.32/19.52 (step @p455 :rule refl :args (@t334)) % 19.32/19.52 (step @p456 :rule nary_cong :premises (@p455 @p454) :args ((or @t334 (not @t329)))) % 19.32/19.52 (step @p457 :rule cnf_or_neg :args (@t334 0)) % 19.32/19.52 (step @p458 :rule eq_resolve :premises (@p457 @p456)) % 19.32/19.52 (step @p459 :rule reordering :premises (@p458) :args ((or @t328 @t334))) % 19.32/19.52 (step @p460 :rule cnf_or_neg :args (@t334 1)) % 19.32/19.52 (step @p461 :rule cnf_and_pos :args (@t330 0)) % 19.32/19.52 (step @p462 :rule reordering :premises (@p461) :args ((or @t329 (not @t330)))) % 19.32/19.52 (step @p463 :rule cnf_or_pos :args (@t331)) % 19.32/19.52 (step @p464 :rule reordering :premises (@p463) :args ((or @t327 @t330 @t335))) % 19.32/19.52 (step @p465 :rule chain_m_resolution :premises (@p464 @p462 @p460 @p459) :args ((or @t334 @t335) @t322 (@list @t330 @t327 @t328))) % 19.32/19.52 (step @p466 :rule chain_m_resolution :premises (@p465 @p453) :args (@t334 @t332 (@list @t331))) % 19.32/19.52 (step @p467 :rule refl :args (@t336)) % 19.32/19.52 (step @p468 :rule bool-double-not-elim :args (@t324)) % 19.32/19.52 (step @p469 :rule nary_cong :premises (@p468 @p467) :args ((or (not @t337) @t336))) % 19.32/19.52 (assume-push @p552 @t337) % 19.32/19.52 (step @p471 :rule skolemize :premises (@p552)) % 19.32/19.52 (step-pop @p553 :rule scope :premises (@p471)) % 19.32/19.52 (step @p472 :rule process_scope :premises (@p553) :args (@t336)) % 19.32/19.52 (step @p474 :rule implies_elim :premises (@p472)) % 19.32/19.52 (step @p475 :rule eq_resolve :premises (@p474 @p469)) % 19.32/19.52 (step @p476 :rule chain_m_resolution :premises (@p475 @p466) :args (@t324 @t332 (@list @t334))) % 19.32/19.52 (step @p477 :rule cnf_or_neg :args (@t313 3)) % 19.32/19.52 (step @p478 :rule chain_m_resolution :premises (@p477 @p438) :args ((not @t301) @t316 @t323)) % 19.32/19.52 (step @p479 :rule bool-double-not-elim :args (@t303)) % 19.32/19.52 (step @p480 :rule nary_cong :premises (@p442 @p479) :args ((or @t313 (not @t304)))) % 19.32/19.52 (step @p481 :rule cnf_or_neg :args (@t313 2)) % 19.32/19.52 (step @p482 :rule eq_resolve :premises (@p481 @p480)) % 19.32/19.52 (step @p483 :rule reordering :premises (@p482) :args ((or @t303 @t313))) % 19.32/19.52 (step @p484 :rule chain_m_resolution :premises (@p483 @p438) :args (@t303 @t316 @t323)) % 19.32/19.52 (step @p485 :rule cnf_or_pos :args (@t338)) % 19.32/19.52 (step @p486 :rule reordering :premises (@p485) :args ((or @t304 @t301 @t337 @t339))) % 19.32/19.52 (step @p487 :rule chain_m_resolution :premises (@p486 @p484 @p478 @p476) :args (@t339 @t340 (@list @t303 @t301 @t324))) % 19.32/19.52 (assume-push @p554 @t310) % 19.32/19.52 (step @p489 :rule instantiate :premises (@p554) :args (@t341)) % 19.32/19.52 (step-pop @p555 :rule scope :premises (@p489)) % 19.32/19.52 (step @p490 :rule process_scope :premises (@p555) :args (@t338)) % 19.32/19.52 (step @p492 :rule implies_elim :premises (@p490)) % 19.32/19.52 (step @p493 :rule chain_m_resolution :premises (@p492 @p487) :args (@t311 @t316 (@list @t338))) % 19.32/19.52 (step @p494 :rule bool-double-not-elim :args (@t308)) % 19.32/19.52 (step @p495 :rule bool-double-not-elim :args (@t310)) % 19.32/19.52 (step @p496 :rule refl :args (@t312)) % 19.32/19.52 (step @p497 :rule nary_cong :premises (@p496 @p495 @p494) :args ((or @t312 (not @t311) (not @t309)))) % 19.32/19.52 (step @p498 :rule cnf_and_neg :args (@t312)) % 19.32/19.52 (step @p499 :rule eq_resolve :premises (@p498 @p497)) % 19.32/19.52 (step @p500 :rule reordering :premises (@p499) :args ((or @t310 @t308 @t312))) % 19.32/19.52 (step @p501 :rule chain_m_resolution :premises (@p500 @p493 @p440) :args (@t308 (@list true true) (@list @t310 @t312))) % 19.32/19.52 (assume-push @p556 @t308) % 19.32/19.52 (step @p503 :rule instantiate :premises (@p556) :args (@t341)) % 19.32/19.52 (step-pop @p557 :rule scope :premises (@p503)) % 19.32/19.52 (step @p504 :rule process_scope :premises (@p557) :args (@t344)) % 19.32/19.52 (step @p506 :rule implies_elim :premises (@p504)) % 19.32/19.52 (step @p507 :rule chain_m_resolution :premises (@p506 @p501) :args (@t344 @t332 (@list @t308))) % 19.32/19.52 (step @p508 :rule cnf_or_pos :args (@t344)) % 19.32/19.52 (step @p509 :rule reordering :premises (@p508) :args ((or @t304 @t301 @t343 (not @t344)))) % 19.32/19.52 (step @p510 :rule chain_m_resolution :premises (@p509 @p484 @p478 @p507) :args (@t343 @t340 (@list @t303 @t301 @t344))) % 19.32/19.52 (step @p511 :rule refl :args (@t351)) % 19.32/19.52 (step @p512 :rule bool-double-not-elim :args (@t342)) % 19.32/19.52 (step @p513 :rule nary_cong :premises (@p512 @p511) :args ((or (not @t343) @t351))) % 19.32/19.52 (assume-push @p558 @t343) % 19.32/19.52 (step @p515 :rule skolemize :premises (@p558)) % 19.32/19.52 (step-pop @p559 :rule scope :premises (@p515)) % 19.32/19.52 (step @p516 :rule process_scope :premises (@p559) :args (@t351)) % 19.32/19.52 (step @p518 :rule implies_elim :premises (@p516)) % 19.32/19.52 (step @p519 :rule eq_resolve :premises (@p518 @p513)) % 19.32/19.52 (step @p520 :rule chain_m_resolution :premises (@p519 @p510) :args (@t351 @t316 (@list @t342))) % 19.32/19.52 (step @p521 :rule cnf_or_neg :args (@t350 1)) % 19.32/19.52 (step @p522 :rule chain_m_resolution :premises (@p521 @p520) :args ((not @t347) @t316 @t352)) % 19.32/19.52 (step @p523 :rule bool-double-not-elim :args (@t348)) % 19.32/19.52 (step @p524 :rule refl :args (@t350)) % 19.32/19.52 (step @p525 :rule nary_cong :premises (@p524 @p523) :args ((or @t350 (not @t349)))) % 19.32/19.52 (step @p526 :rule cnf_or_neg :args (@t350 0)) % 19.32/19.52 (step @p527 :rule eq_resolve :premises (@p526 @p525)) % 19.32/19.52 (step @p528 :rule reordering :premises (@p527) :args ((or @t348 @t350))) % 19.32/19.52 (step @p529 :rule chain_m_resolution :premises (@p528 @p520) :args (@t348 @t316 @t352)) % 19.32/19.52 (step @p530 :rule cnf_and_pos :args (@t353 1)) % 19.32/19.52 (step @p531 :rule reordering :premises (@p530) :args ((or @t349 @t354))) % 19.32/19.52 (step @p532 :rule chain_m_resolution :premises (@p531 @p529) :args (@t354 @t332 (@list @t348))) % 19.32/19.52 (assume-push @p560 @t305) % 19.32/19.52 (step @p534 :rule instantiate :premises (@p560) :args ((@list @t346 @t345))) % 19.32/19.52 (step-pop @p561 :rule scope :premises (@p534)) % 19.32/19.52 (step @p535 :rule process_scope :premises (@p561) :args (@t355)) % 19.32/19.52 (step @p537 :rule implies_elim :premises (@p535)) % 19.32/19.52 (step @p538 :rule chain_m_resolution :premises (@p537 @p447) :args (@t355 @t332 @t333)) % 19.32/19.52 (step @p539 :rule cnf_or_pos :args (@t355)) % 19.32/19.52 (step @p540 :rule reordering :premises (@p539) :args ((or @t347 @t353 (not @t355)))) % 19.32/19.52 (step @p541 false :rule chain_m_resolution :premises (@p540 @p538 @p532 @p522) :args (false (@list false true true) (@list @t355 @t353 @t347))) % 19.32/19.52 ) % 19.32/19.52 % SZS output end Proof % 19.32/19.52 % cvc5 exiting %------------------------------------------------------------------------------