%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL636+1.001 : TPTP v9.3.1. 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 : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:11 AM UTC 2026 % Result : Theorem 0.31s 0.56s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL636+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.35 % Computer : n001.cluster.edu % 0.11/0.35 % Model : x86_64 x86_64 % 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.35 % Memory : 8046.5625MB % 0.11/0.35 % OS : Linux 6.8.0-71-generic % 0.11/0.35 % CPULimit : 300 % 0.11/0.35 % WCLimit : 300 % 0.11/0.35 % DateTime : Sat Sep 5 13:27:16 UTC 2026 % 0.11/0.35 % CPUTime : % 0.15/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.56 % SZS status Theorem % 0.31/0.56 % SZS output start Proof % 0.31/0.56 ( % 0.31/0.56 (declare-sort $$unsorted 0) % 0.31/0.56 (declare-const tptp.p2 (-> $$unsorted Bool)) % 0.31/0.56 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 0.31/0.56 (declare-const tptp.p1 (-> $$unsorted Bool)) % 0.31/0.56 (declare-const tptp.p102 (-> $$unsorted Bool)) % 0.31/0.56 (declare-const tptp.p101 (-> $$unsorted Bool)) % 0.31/0.56 (declare-const tptp.p100 (-> $$unsorted Bool)) % 0.31/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.31/0.56 (define @t2 () (tptp.p100 @t1)) % 0.31/0.56 (define @t3 () (tptp.p101 @t1)) % 0.31/0.56 (define @t4 () (not @t3)) % 0.31/0.56 (define @t5 () (or @t2 @t4)) % 0.31/0.56 (define @t6 () (tptp.p102 @t1)) % 0.31/0.56 (define @t7 () (not @t6)) % 0.31/0.56 (define @t8 () (or @t3 @t7)) % 0.31/0.56 (define @t9 () (not @t2)) % 0.31/0.56 (define @t10 () (tptp.p1 @t1)) % 0.31/0.56 (define @t11 () (not @t10)) % 0.31/0.56 (define @t12 () (@var "Y" $$unsorted)) % 0.31/0.56 (define @t13 () (tptp.p100 @t12)) % 0.31/0.56 (define @t14 () (not @t13)) % 0.31/0.56 (define @t15 () (tptp.p1 @t12)) % 0.31/0.56 (define @t16 () (not (tptp.r1 @t1 @t12))) % 0.31/0.56 (define @t17 () (@list @t12)) % 0.31/0.56 (define @t18 () (forall @t17 (or @t16 @t15 @t14))) % 0.31/0.56 (define @t19 () (or @t18 @t11)) % 0.31/0.56 (define @t20 () (not @t15)) % 0.31/0.56 (define @t21 () (forall @t17 (or @t16 @t20 @t14))) % 0.31/0.56 (define @t22 () (or @t21 @t10)) % 0.31/0.56 (define @t23 () (and @t22 @t19)) % 0.31/0.56 (define @t24 () (or @t23 @t9)) % 0.31/0.56 (define @t25 () (tptp.p2 @t1)) % 0.31/0.56 (define @t26 () (not @t25)) % 0.31/0.56 (define @t27 () (tptp.p101 @t12)) % 0.31/0.56 (define @t28 () (not @t27)) % 0.31/0.56 (define @t29 () (tptp.p2 @t12)) % 0.31/0.56 (define @t30 () (forall @t17 (or @t16 @t29 @t28))) % 0.31/0.56 (define @t31 () (or @t30 @t26)) % 0.31/0.56 (define @t32 () (not @t29)) % 0.31/0.56 (define @t33 () (forall @t17 (or @t16 @t32 @t28))) % 0.31/0.56 (define @t34 () (or @t33 @t25)) % 0.31/0.56 (define @t35 () (and @t34 @t31)) % 0.31/0.56 (define @t36 () (or @t35 @t4)) % 0.31/0.56 (define @t37 () (and @t4 @t2)) % 0.31/0.56 (define @t38 () (not @t37)) % 0.31/0.56 (define @t39 () (tptp.p102 @t12)) % 0.31/0.56 (define @t40 () (not @t39)) % 0.31/0.56 (define @t41 () (or @t16 (not (and @t29 @t40 @t27)))) % 0.31/0.56 (define @t42 () (forall @t17 @t41)) % 0.31/0.56 (define @t43 () (not @t42)) % 0.31/0.56 (define @t44 () (or @t16 (not (and @t32 @t40 @t27)))) % 0.31/0.56 (define @t45 () (forall @t17 @t44)) % 0.31/0.56 (define @t46 () (not @t45)) % 0.31/0.56 (define @t47 () (and @t46 @t43)) % 0.31/0.57 (define @t48 () (or @t47 @t38)) % 0.31/0.57 (define @t49 () (or @t13 @t28)) % 0.31/0.57 (define @t50 () (or @t27 @t40)) % 0.31/0.57 (define @t51 () (@var "X" $$unsorted)) % 0.31/0.57 (define @t52 () (@var "X" $$unsorted)) % 0.31/0.57 (define @t53 () (or (and (or (forall (@list @t52) (or (not (tptp.r1 @t12 @t52)) (not (tptp.p1 @t52)) (not (tptp.p100 @t52)))) @t15) (or (forall (@list @t51) (or (not (tptp.r1 @t12 @t51)) (tptp.p1 @t51) (not (tptp.p100 @t51)))) @t20)) @t14)) % 0.31/0.57 (define @t54 () (@var "X" $$unsorted)) % 0.31/0.57 (define @t55 () (@var "X" $$unsorted)) % 0.31/0.57 (define @t56 () (or (and (or (forall (@list @t55) (or (not (tptp.r1 @t12 @t55)) (not (tptp.p2 @t55)) (not (tptp.p101 @t55)))) @t29) (or (forall (@list @t54) (or (not (tptp.r1 @t12 @t54)) (tptp.p2 @t54) (not (tptp.p101 @t54)))) @t32)) @t28)) % 0.31/0.57 (define @t57 () (not (and @t28 @t13))) % 0.31/0.57 (define @t58 () (@var "X" $$unsorted)) % 0.31/0.57 (define @t59 () (tptp.p101 @t58)) % 0.31/0.57 (define @t60 () (tptp.p102 @t58)) % 0.31/0.57 (define @t61 () (not @t60)) % 0.31/0.57 (define @t62 () (tptp.p2 @t58)) % 0.31/0.57 (define @t63 () (not (tptp.r1 @t12 @t58))) % 0.31/0.57 (define @t64 () (or @t63 (not (and @t62 @t61 @t59)))) % 0.31/0.57 (define @t65 () (@list @t58)) % 0.31/0.57 (define @t66 () (forall @t65 @t64)) % 0.31/0.57 (define @t67 () (not @t66)) % 0.31/0.57 (define @t68 () (@var "X" $$unsorted)) % 0.31/0.57 (define @t69 () (tptp.p101 @t68)) % 0.31/0.57 (define @t70 () (tptp.p102 @t68)) % 0.31/0.57 (define @t71 () (not @t70)) % 0.31/0.57 (define @t72 () (tptp.p2 @t68)) % 0.31/0.57 (define @t73 () (not @t72)) % 0.31/0.57 (define @t74 () (not (tptp.r1 @t12 @t68))) % 0.31/0.57 (define @t75 () (or @t74 (not (and @t73 @t71 @t69)))) % 0.31/0.57 (define @t76 () (@list @t68)) % 0.31/0.57 (define @t77 () (forall @t76 @t75)) % 0.31/0.57 (define @t78 () (not @t77)) % 0.31/0.57 (define @t79 () (and @t78 @t67)) % 0.31/0.57 (define @t80 () (or @t79 @t57)) % 0.31/0.57 (define @t81 () (and @t80 @t56 @t53 @t50 @t49)) % 0.31/0.57 (define @t82 () (or @t16 @t81)) % 0.31/0.57 (define @t83 () (forall @t17 @t82)) % 0.31/0.57 (define @t84 () (and @t83 @t48 @t36 @t24 @t8 @t5 @t4 @t2)) % 0.31/0.57 (define @t85 () (not @t84)) % 0.31/0.57 (define @t86 () (not (forall @t17 (or @t16 @t29)))) % 0.31/0.57 (define @t87 () (or @t86 @t85)) % 0.31/0.57 (define @t88 () (not @t87)) % 0.31/0.57 (define @t89 () (@list @t1)) % 0.31/0.57 (define @t90 () (exists @t89 @t88)) % 0.31/0.57 (define @t91 () (and @t9 @t3)) % 0.31/0.57 (define @t92 () (and @t4 @t6)) % 0.31/0.57 (define @t93 () (not @t18)) % 0.31/0.57 (define @t94 () (and (or (and (not @t21) @t11) (and @t93 @t10)) @t2)) % 0.31/0.57 (define @t95 () (not @t30)) % 0.31/0.57 (define @t96 () (and (or (and (not @t33) @t26) (and @t95 @t25)) @t3)) % 0.31/0.57 (define @t97 () (@var "BOUND_VARIABLE_7715" $$unsorted)) % 0.31/0.57 (define @t98 () (not (tptp.p101 @t97))) % 0.31/0.57 (define @t99 () (tptp.p102 @t97)) % 0.31/0.57 (define @t100 () (not (tptp.p2 @t97))) % 0.31/0.57 (define @t101 () (not (tptp.r1 @t1 @t97))) % 0.31/0.57 (define @t102 () (@var "BOUND_VARIABLE_7706" $$unsorted)) % 0.31/0.57 (define @t103 () (not (tptp.p101 @t102))) % 0.31/0.57 (define @t104 () (tptp.p102 @t102)) % 0.31/0.57 (define @t105 () (tptp.p2 @t102)) % 0.31/0.57 (define @t106 () (not (tptp.r1 @t1 @t102))) % 0.31/0.57 (define @t107 () (or @t106 @t105 @t104 @t103 @t101 @t100 @t99 @t98)) % 0.31/0.57 (define @t108 () (or @t101 @t100 @t99 @t98)) % 0.31/0.57 (define @t109 () (or @t106 @t105 @t104 @t103)) % 0.31/0.57 (define @t110 () (or @t109 @t108)) % 0.31/0.57 (define @t111 () (and @t110 @t4 @t2)) % 0.31/0.57 (define @t112 () (@var "BOUND_VARIABLE_7629" $$unsorted)) % 0.31/0.57 (define @t113 () (not (tptp.p100 @t112))) % 0.31/0.57 (define @t114 () (tptp.p1 @t112)) % 0.31/0.57 (define @t115 () (not (tptp.r1 @t12 @t112))) % 0.31/0.57 (define @t116 () (or @t20 @t115 @t114 @t113)) % 0.31/0.57 (define @t117 () (@var "BOUND_VARIABLE_7619" $$unsorted)) % 0.31/0.57 (define @t118 () (not (tptp.p100 @t117))) % 0.31/0.57 (define @t119 () (not (tptp.p1 @t117))) % 0.31/0.57 (define @t120 () (not (tptp.r1 @t12 @t117))) % 0.31/0.57 (define @t121 () (or @t15 @t120 @t119 @t118)) % 0.31/0.57 (define @t122 () (@var "BOUND_VARIABLE_7608" $$unsorted)) % 0.31/0.57 (define @t123 () (not (tptp.p101 @t122))) % 0.31/0.57 (define @t124 () (tptp.p2 @t122)) % 0.31/0.57 (define @t125 () (not (tptp.r1 @t12 @t122))) % 0.31/0.57 (define @t126 () (or @t32 @t125 @t124 @t123)) % 0.31/0.57 (define @t127 () (@var "BOUND_VARIABLE_7598" $$unsorted)) % 0.31/0.57 (define @t128 () (not (tptp.p101 @t127))) % 0.31/0.57 (define @t129 () (not (tptp.p2 @t127))) % 0.31/0.57 (define @t130 () (not (tptp.r1 @t12 @t127))) % 0.31/0.57 (define @t131 () (or @t29 @t130 @t129 @t128)) % 0.31/0.57 (define @t132 () (not @t59)) % 0.31/0.57 (define @t133 () (not @t62)) % 0.31/0.57 (define @t134 () (or @t63 @t133 @t60 @t132)) % 0.31/0.57 (define @t135 () (not @t69)) % 0.31/0.57 (define @t136 () (or @t74 @t72 @t70 @t135)) % 0.31/0.57 (define @t137 () (and (not (forall @t76 @t136)) (not (forall @t65 @t134)))) % 0.31/0.57 (define @t138 () (or @t137 @t27 @t14)) % 0.31/0.57 (define @t139 () (and @t138 (or (and @t131 @t126) @t28) (or (and @t121 @t116) @t14) @t50 @t49)) % 0.31/0.57 (define @t140 () (@list @t12 @t127 @t122 @t117 @t112)) % 0.31/0.57 (define @t141 () (forall @t140 (or @t16 @t139))) % 0.31/0.57 (define @t142 () (not @t141)) % 0.31/0.57 (define @t143 () (or @t86 @t142 @t111 @t96 @t94 @t92 @t91 @t3 @t9)) % 0.31/0.57 (define @t144 () (@list @t1 @t102 @t97)) % 0.31/0.57 (define @t145 () (forall @t144 @t143)) % 0.31/0.57 (define @t146 () (@list @t102 @t97)) % 0.31/0.57 (define @t147 () (forall @t146 @t143)) % 0.31/0.57 (define @t148 () (forall @t146 @t2)) % 0.31/0.57 (define @t149 () (forall @t146 @t4)) % 0.31/0.57 (define @t150 () (forall (@list @t97) @t108)) % 0.31/0.57 (define @t151 () (@list @t12)) % 0.31/0.57 (define @t152 () (forall (@list @t102) @t109)) % 0.31/0.57 (define @t153 () (or @t152 @t150)) % 0.31/0.57 (define @t154 () (forall @t146 @t110)) % 0.31/0.57 (define @t155 () (and @t154 @t149 @t148)) % 0.31/0.57 (define @t156 () (forall @t146 @t111)) % 0.31/0.57 (define @t157 () (or @t86 @t142 @t156 @t96 @t94 @t92 @t91 @t3 @t9)) % 0.31/0.57 (define @t158 () (or @t16 @t32 @t39 @t28)) % 0.31/0.57 (define @t159 () (forall @t17 @t158)) % 0.31/0.57 (define @t160 () (or @t16 @t29 @t39 @t28)) % 0.31/0.57 (define @t161 () (forall @t17 @t160)) % 0.31/0.57 (define @t162 () (or @t161 @t159)) % 0.31/0.57 (define @t163 () (and @t162 @t4 @t2)) % 0.31/0.57 (define @t164 () (or @t86 @t142 @t163 @t96 @t94 @t92 @t91 @t3 @t9)) % 0.31/0.57 (define @t165 () (not @t4)) % 0.31/0.57 (define @t166 () (not @t23)) % 0.31/0.57 (define @t167 () (not @t35)) % 0.31/0.57 (define @t168 () (not @t159)) % 0.31/0.57 (define @t169 () (not @t161)) % 0.31/0.57 (define @t170 () (and @t169 @t168)) % 0.31/0.57 (define @t171 () (not @t170)) % 0.31/0.57 (define @t172 () (not @t5)) % 0.31/0.57 (define @t173 () (not @t8)) % 0.31/0.57 (define @t174 () (not @t24)) % 0.31/0.57 (define @t175 () (not @t36)) % 0.31/0.57 (define @t176 () (or @t170 @t38)) % 0.31/0.57 (define @t177 () (not @t176)) % 0.31/0.57 (define @t178 () (or @t142 @t177 @t175 @t174 @t173 @t172 @t165 @t9)) % 0.31/0.57 (define @t179 () (or @t86 (not (and @t141 @t176 @t36 @t24 @t8 @t5 @t4 @t2)))) % 0.31/0.57 (define @t180 () (not @t179)) % 0.31/0.57 (define @t181 () (forall @t89 (not @t180))) % 0.31/0.57 (define @t182 () (not @t181)) % 0.31/0.57 (define @t183 () (not @t40)) % 0.31/0.57 (define @t184 () (or @t32 @t183 @t28)) % 0.31/0.57 (define @t185 () (or @t183 @t28)) % 0.31/0.57 (define @t186 () (not (and @t40 @t27))) % 0.31/0.57 (define @t187 () (not @t32)) % 0.31/0.57 (define @t188 () (or @t187 @t183 @t28)) % 0.31/0.57 (define @t189 () (or @t115 @t114 @t113)) % 0.31/0.57 (define @t190 () (or @t189 @t20)) % 0.31/0.57 (define @t191 () (or @t120 @t119 @t118)) % 0.31/0.57 (define @t192 () (or @t191 @t15)) % 0.31/0.57 (define @t193 () (and @t192 @t190)) % 0.31/0.57 (define @t194 () (or @t193 @t14)) % 0.31/0.57 (define @t195 () (or @t125 @t124 @t123)) % 0.31/0.57 (define @t196 () (or @t195 @t32)) % 0.31/0.57 (define @t197 () (or @t130 @t129 @t128)) % 0.31/0.57 (define @t198 () (or @t197 @t29)) % 0.31/0.57 (define @t199 () (and @t198 @t196)) % 0.31/0.57 (define @t200 () (or @t199 @t28)) % 0.31/0.57 (define @t201 () (and @t138 @t200 @t194 @t50 @t49)) % 0.31/0.57 (define @t202 () (or @t16 @t201)) % 0.31/0.57 (define @t203 () (forall @t140 @t202)) % 0.31/0.57 (define @t204 () (@list @t127 @t122 @t117 @t112)) % 0.31/0.57 (define @t205 () (forall @t204 @t202)) % 0.31/0.57 (define @t206 () (forall @t204 @t49)) % 0.31/0.57 (define @t207 () (forall @t204 @t50)) % 0.31/0.57 (define @t208 () (@list @t112)) % 0.31/0.57 (define @t209 () (forall @t208 @t189)) % 0.31/0.57 (define @t210 () (or @t209 @t20)) % 0.31/0.57 (define @t211 () (forall @t208 @t190)) % 0.31/0.57 (define @t212 () (@list @t117 @t112)) % 0.31/0.57 (define @t213 () (forall @t212 @t190)) % 0.31/0.57 (define @t214 () (@list @t117)) % 0.31/0.57 (define @t215 () (forall @t214 @t191)) % 0.31/0.57 (define @t216 () (or @t215 @t15)) % 0.31/0.57 (define @t217 () (forall @t214 @t192)) % 0.31/0.57 (define @t218 () (forall @t212 @t192)) % 0.31/0.57 (define @t219 () (and @t218 @t213)) % 0.31/0.57 (define @t220 () (forall @t212 @t193)) % 0.31/0.57 (define @t221 () (or @t220 @t14)) % 0.31/0.57 (define @t222 () (forall @t212 @t194)) % 0.31/0.57 (define @t223 () (forall @t204 @t194)) % 0.31/0.57 (define @t224 () (@list @t122)) % 0.31/0.57 (define @t225 () (forall @t224 @t195)) % 0.31/0.57 (define @t226 () (or @t225 @t32)) % 0.31/0.57 (define @t227 () (forall @t224 @t196)) % 0.31/0.57 (define @t228 () (@list @t127 @t122)) % 0.31/0.57 (define @t229 () (forall @t228 @t196)) % 0.31/0.57 (define @t230 () (@list @t127)) % 0.31/0.57 (define @t231 () (forall @t230 @t197)) % 0.31/0.57 (define @t232 () (or @t231 @t29)) % 0.31/0.57 (define @t233 () (forall @t230 @t198)) % 0.31/0.57 (define @t234 () (forall @t228 @t198)) % 0.31/0.57 (define @t235 () (and @t234 @t229)) % 0.31/0.57 (define @t236 () (forall @t228 @t199)) % 0.31/0.57 (define @t237 () (or @t236 @t28)) % 0.31/0.57 (define @t238 () (forall @t228 @t200)) % 0.31/0.57 (define @t239 () (forall @t204 @t200)) % 0.31/0.57 (define @t240 () (forall @t204 @t138)) % 0.31/0.57 (define @t241 () (and @t240 @t239 @t223 @t207 @t206)) % 0.31/0.57 (define @t242 () (forall @t204 @t201)) % 0.31/0.57 (define @t243 () (or @t16 @t242)) % 0.31/0.57 (define @t244 () (or @t137 @t57)) % 0.31/0.57 (define @t245 () (and @t244 @t56 @t53 @t50 @t49)) % 0.31/0.57 (define @t246 () (or @t16 @t245)) % 0.31/0.57 (define @t247 () (not @t61)) % 0.31/0.57 (define @t248 () (or @t133 @t247 @t132)) % 0.31/0.57 (define @t249 () (not @t71)) % 0.31/0.57 (define @t250 () (not @t73)) % 0.31/0.57 (define @t251 () (or @t250 @t249 @t135)) % 0.31/0.57 (define @t252 () (forall @t144 (or @t86 @t142 (and @t107 @t4 @t2) @t96 @t94 @t92 @t91 @t3 @t9))) % 0.31/0.57 (define @t253 () (@quantifiers_skolemize @t252 0)) % 0.31/0.57 (define @t254 () (not (tptp.r1 @t253 @t12))) % 0.31/0.57 (define @t255 () (forall @t17 (or @t254 @t29))) % 0.31/0.57 (define @t256 () (tptp.p100 @t253)) % 0.31/0.57 (define @t257 () (not @t256)) % 0.31/0.57 (define @t258 () (tptp.p101 @t253)) % 0.31/0.57 (define @t259 () (not @t258)) % 0.31/0.57 (define @t260 () (tptp.p1 @t253)) % 0.31/0.57 (define @t261 () (tptp.p2 @t253)) % 0.31/0.57 (define @t262 () (@quantifiers_skolemize @t252 2)) % 0.31/0.57 (define @t263 () (@quantifiers_skolemize @t252 1)) % 0.31/0.57 (define @t264 () (tptp.p2 @t263)) % 0.31/0.57 (define @t265 () (tptp.r1 @t253 @t263)) % 0.31/0.57 (define @t266 () (not @t265)) % 0.31/0.57 (define @t267 () (or @t266 @t264 (tptp.p102 @t263) (not (tptp.p101 @t263)) (not (tptp.r1 @t253 @t262)) (not (tptp.p2 @t262)) (tptp.p102 @t262) (not (tptp.p101 @t262)))) % 0.31/0.57 (define @t268 () (and @t267 @t259 @t256)) % 0.31/0.57 (define @t269 () (not @t255)) % 0.31/0.57 (define @t270 () (or @t269 (not (forall @t140 (or @t254 @t139))) @t268 (and (or (and (not (forall @t17 (or @t254 @t32 @t28))) (not @t261)) (and (not (forall @t17 (or @t254 @t29 @t28))) @t261)) @t258) (and (or (and (not (forall @t17 (or @t254 @t20 @t14))) (not @t260)) (and (not (forall @t17 (or @t254 @t15 @t14))) @t260)) @t256) (and @t259 (tptp.p102 @t253)) (and @t257 @t258) @t258 @t257)) % 0.31/0.57 (define @t271 () (@list true)) % 0.31/0.57 (define @t272 () (@list @t270)) % 0.31/0.57 (define @t273 () (not @t267)) % 0.31/0.57 (define @t274 () (@list @t267)) % 0.31/0.57 (define @t275 () (or @t266 @t264)) % 0.31/0.57 (define @t276 () (not @t275)) % 0.31/0.57 (assume @p1 (not (not @t90))) % 0.31/0.57 (assume @p2 true) % 0.31/0.57 (step @p3 :rule refl :args (@t9)) % 0.31/0.57 (step @p4 :rule refl :args (@t3)) % 0.31/0.57 (step @p5 :rule refl :args (@t91)) % 0.31/0.57 (step @p6 :rule refl :args (@t92)) % 0.31/0.57 (step @p7 :rule refl :args (@t94)) % 0.31/0.57 (step @p8 :rule refl :args (@t96)) % 0.31/0.57 (step @p9 :rule refl :args (@t2)) % 0.31/0.57 (step @p10 :rule refl :args (@t4)) % 0.31/0.57 (step @p11 :rule aci_norm :args ((= @t110 @t107))) % 0.31/0.57 (step @p12 :rule nary_cong :premises (@p11 @p10 @p9) :args (@t111)) % 0.31/0.57 (step @p13 :rule refl :args (@t142)) % 0.31/0.57 (step @p14 :rule refl :args (@t86)) % 0.31/0.57 (step @p15 :rule nary_cong :premises (@p14 @p13 @p12 @p8 @p7 @p6 @p5 @p4 @p3) :args (@t143)) % 0.31/0.57 (step @p16 :rule cong :premises (@p15) :args (@t145)) % 0.31/0.57 (step @p17 :rule quant-merge-prenex :args ((= (forall @t89 @t147) @t145))) % 0.31/0.57 (step @p18 :rule refl :args (@t9)) % 0.31/0.57 (step @p19 :rule refl :args (@t3)) % 0.31/0.57 (step @p20 :rule refl :args (@t91)) % 0.31/0.57 (step @p21 :rule refl :args (@t92)) % 0.31/0.57 (step @p22 :rule refl :args (@t94)) % 0.31/0.57 (step @p23 :rule refl :args (@t96)) % 0.31/0.57 (step @p24 :rule quant-unused-vars :args ((= @t148 @t2))) % 0.31/0.57 (step @p25 :rule quant-unused-vars :args ((= @t149 @t4))) % 0.31/0.57 (step @p26 :rule alpha_equiv :args (@t150 (@list @t97) @t151)) % 0.31/0.57 (step @p27 :rule alpha_equiv :args (@t152 (@list @t102) @t151)) % 0.31/0.57 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t153)) % 0.31/0.57 (step @p29 :rule quant-miniscope-or :args ((= @t154 @t153))) % 0.31/0.57 (step @p30 :rule trans :premises (@p29 @p28)) % 0.31/0.57 (step @p31 :rule nary_cong :premises (@p30 @p25 @p24) :args (@t155)) % 0.31/0.57 (step @p32 :rule quant-miniscope-and :args ((= @t156 @t155))) % 0.31/0.57 (step @p33 :rule trans :premises (@p32 @p31)) % 0.31/0.57 (step @p34 :rule refl :args (@t142)) % 0.31/0.57 (step @p35 :rule refl :args (@t86)) % 0.31/0.57 (step @p36 :rule nary_cong :premises (@p35 @p34 @p33 @p23 @p22 @p21 @p20 @p19 @p18) :args (@t157)) % 0.31/0.57 (step @p37 :rule quant-miniscope-or :args ((= @t147 @t157))) % 0.31/0.57 (step @p38 :rule trans :premises (@p37 @p36)) % 0.31/0.57 (step @p39 :rule symm :premises (@p38)) % 0.31/0.57 (step @p40 :rule cong :premises (@p39) :args ((forall @t89 @t164))) % 0.31/0.57 (step @p41 :rule trans :premises (@p40 @p17)) % 0.31/0.57 (step @p42 :rule trans :premises (@p41 @p16)) % 0.31/0.57 (step @p43 :rule aci_norm :args ((= (or @t86 (or @t142 @t163 @t96 @t94 @t92 @t91 @t3 @t9)) @t164))) % 0.31/0.57 (step @p44 :rule bool-double-not-elim :args (@t3)) % 0.31/0.57 (step @p45 :rule nary_cong :premises (@p18 @p44) :args ((and @t9 @t165))) % 0.31/0.57 (step @p46 :rule bool-or-de-morgan :args (@t2 @t4 false)) % 0.31/0.57 (step @p47 :rule trans :premises (@p46 @p45)) % 0.31/0.57 (step @p48 :rule bool-double-not-elim :args (@t6)) % 0.31/0.57 (step @p49 :rule refl :args (@t4)) % 0.31/0.57 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((and @t4 (not @t7)))) % 0.31/0.57 (step @p51 :rule bool-or-de-morgan :args (@t3 @t7 false)) % 0.31/0.57 (step @p52 :rule trans :premises (@p51 @p50)) % 0.31/0.57 (step @p53 :rule refl :args (@t2)) % 0.31/0.57 (step @p54 :rule bool-double-not-elim :args (@t10)) % 0.31/0.57 (step @p55 :rule refl :args (@t93)) % 0.31/0.57 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((and @t93 (not @t11)))) % 0.31/0.57 (step @p57 :rule bool-or-de-morgan :args (@t18 @t11 false)) % 0.31/0.57 (step @p58 :rule trans :premises (@p57 @p56)) % 0.31/0.57 (step @p59 :rule bool-or-de-morgan :args (@t21 @t10 false)) % 0.31/0.57 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or (not @t22) (not @t19)))) % 0.31/0.57 (step @p61 :rule bool-and-de-morgan :args (@t22 @t19 true)) % 0.31/0.57 (step @p62 :rule trans :premises (@p61 @p60)) % 0.31/0.57 (step @p63 :rule nary_cong :premises (@p62 @p53) :args ((and @t166 @t2))) % 0.31/0.57 (step @p64 :rule bool-double-not-elim :args (@t2)) % 0.31/0.57 (step @p65 :rule refl :args (@t166)) % 0.31/0.57 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((and @t166 (not @t9)))) % 0.31/0.57 (step @p67 :rule bool-or-de-morgan :args (@t23 @t9 false)) % 0.31/0.57 (step @p68 :rule trans :premises (@p67 @p66)) % 0.31/0.57 (step @p69 :rule trans :premises (@p68 @p63)) % 0.31/0.57 (step @p70 :rule bool-double-not-elim :args (@t25)) % 0.31/0.57 (step @p71 :rule refl :args (@t95)) % 0.31/0.57 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((and @t95 (not @t26)))) % 0.31/0.57 (step @p73 :rule bool-or-de-morgan :args (@t30 @t26 false)) % 0.31/0.57 (step @p74 :rule trans :premises (@p73 @p72)) % 0.31/0.57 (step @p75 :rule bool-or-de-morgan :args (@t33 @t25 false)) % 0.31/0.57 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or (not @t34) (not @t31)))) % 0.31/0.57 (step @p77 :rule bool-and-de-morgan :args (@t34 @t31 true)) % 0.31/0.57 (step @p78 :rule trans :premises (@p77 @p76)) % 0.31/0.57 (step @p79 :rule nary_cong :premises (@p78 @p19) :args ((and @t167 @t3))) % 0.31/0.57 (step @p80 :rule refl :args (@t167)) % 0.31/0.57 (step @p81 :rule nary_cong :premises (@p80 @p44) :args ((and @t167 @t165))) % 0.31/0.57 (step @p82 :rule bool-or-de-morgan :args (@t35 @t4 false)) % 0.31/0.57 (step @p83 :rule trans :premises (@p82 @p81)) % 0.31/0.57 (step @p84 :rule trans :premises (@p83 @p79)) % 0.31/0.57 (step @p85 :rule aci_norm :args ((= (and @t162 @t37) @t163))) % 0.31/0.57 (step @p86 :rule refl :args (@t37)) % 0.31/0.57 (step @p87 :rule bool-double-not-elim :args (@t159)) % 0.31/0.57 (step @p88 :rule bool-double-not-elim :args (@t161)) % 0.31/0.57 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or (not @t169) (not @t168)))) % 0.31/0.57 (step @p90 :rule bool-and-de-morgan :args (@t169 @t168 true)) % 0.31/0.57 (step @p91 :rule trans :premises (@p90 @p89)) % 0.31/0.57 (step @p92 :rule nary_cong :premises (@p91 @p86) :args ((and @t171 @t37))) % 0.31/0.57 (step @p93 :rule trans :premises (@p92 @p85)) % 0.31/0.57 (step @p94 :rule bool-double-not-elim :args (@t37)) % 0.31/0.57 (step @p95 :rule refl :args (@t171)) % 0.31/0.57 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((and @t171 (not @t38)))) % 0.31/0.57 (step @p97 :rule bool-or-de-morgan :args (@t170 @t38 false)) % 0.31/0.57 (step @p98 :rule trans :premises (@p97 @p96)) % 0.31/0.57 (step @p99 :rule trans :premises (@p98 @p93)) % 0.31/0.57 (step @p100 :rule nary_cong :premises (@p34 @p99 @p84 @p69 @p52 @p47 @p19 @p18) :args ((or @t142 @t177 @t175 @t174 @t173 @t172 @t3 @t9))) % 0.31/0.57 (step @p101 :rule refl :args (@t172)) % 0.31/0.57 (step @p102 :rule refl :args (@t173)) % 0.31/0.57 (step @p103 :rule refl :args (@t174)) % 0.31/0.57 (step @p104 :rule refl :args (@t175)) % 0.31/0.57 (step @p105 :rule refl :args (@t177)) % 0.31/0.57 (step @p106 :rule nary_cong :premises (@p34 @p105 @p104 @p103 @p102 @p101 @p44 @p18) :args (@t178)) % 0.31/0.57 (step @p107 :rule aci_norm :args ((= (or @t142 (or @t177 (or @t175 (or @t174 (or @t173 (or @t172 (or @t165 @t9))))))) @t178))) % 0.31/0.57 (step @p108 :rule trans :premises (@p107 @p106)) % 0.31/0.57 (step @p109 :rule bool-and-de-morgan :args (@t4 @t2 true)) % 0.31/0.57 (step @p110 :rule nary_cong :premises (@p101 @p109) :args ((or @t172 @t38))) % 0.31/0.57 (step @p111 :rule bool-and-de-morgan :args (@t5 @t4 (and @t2))) % 0.31/0.57 (step @p112 :rule trans :premises (@p111 @p110)) % 0.31/0.57 (step @p113 :rule nary_cong :premises (@p102 @p112) :args ((or @t173 (not (and @t5 @t4 @t2))))) % 0.31/0.57 (step @p114 :rule bool-and-de-morgan :args (@t8 @t5 (and @t4 @t2))) % 0.31/0.57 (step @p115 :rule trans :premises (@p114 @p113)) % 0.31/0.57 (step @p116 :rule nary_cong :premises (@p103 @p115) :args ((or @t174 (not (and @t8 @t5 @t4 @t2))))) % 0.31/0.57 (step @p117 :rule bool-and-de-morgan :args (@t24 @t8 (and @t5 @t4 @t2))) % 0.31/0.57 (step @p118 :rule trans :premises (@p117 @p116)) % 0.31/0.57 (step @p119 :rule nary_cong :premises (@p104 @p118) :args ((or @t175 (not (and @t24 @t8 @t5 @t4 @t2))))) % 0.31/0.57 (step @p120 :rule bool-and-de-morgan :args (@t36 @t24 (and @t8 @t5 @t4 @t2))) % 0.31/0.57 (step @p121 :rule trans :premises (@p120 @p119)) % 0.31/0.57 (step @p122 :rule nary_cong :premises (@p105 @p121) :args ((or @t177 (not (and @t36 @t24 @t8 @t5 @t4 @t2))))) % 0.31/0.57 (step @p123 :rule bool-and-de-morgan :args (@t176 @t36 (and @t24 @t8 @t5 @t4 @t2))) % 0.31/0.57 (step @p124 :rule trans :premises (@p123 @p122)) % 0.31/0.57 (step @p125 :rule nary_cong :premises (@p34 @p124) :args ((or @t142 (not (and @t176 @t36 @t24 @t8 @t5 @t4 @t2))))) % 0.31/0.57 (step @p126 :rule bool-and-de-morgan :args (@t141 @t176 (and @t36 @t24 @t8 @t5 @t4 @t2))) % 0.31/0.57 (step @p127 :rule trans :premises (@p126 @p125)) % 0.31/0.57 (step @p128 :rule trans :premises (@p127 @p108)) % 0.31/0.57 (step @p129 :rule trans :premises (@p128 @p100)) % 0.31/0.57 (step @p130 :rule nary_cong :premises (@p35 @p129) :args (@t179)) % 0.31/0.57 (step @p131 :rule trans :premises (@p130 @p43)) % 0.31/0.57 (step @p132 :rule cong :premises (@p131) :args ((forall @t89 @t179))) % 0.31/0.57 (step @p133 :rule trans :premises (@p132 @p42)) % 0.31/0.57 (step @p134 :rule bool-double-not-elim :args (@t179)) % 0.31/0.57 (step @p135 :rule cong :premises (@p134) :args (@t181)) % 0.31/0.57 (step @p136 :rule trans :premises (@p135 @p133)) % 0.31/0.57 (step @p137 :rule cong :premises (@p136) :args (@t182)) % 0.31/0.57 (step @p138 :rule exists-elim :args ((= (exists @t89 @t180) @t182))) % 0.31/0.57 (step @p139 :rule trans :premises (@p138 @p137)) % 0.31/0.57 (step @p140 :rule refl :args (@t5)) % 0.31/0.57 (step @p141 :rule refl :args (@t8)) % 0.31/0.57 (step @p142 :rule refl :args (@t24)) % 0.31/0.57 (step @p143 :rule refl :args (@t36)) % 0.31/0.57 (step @p144 :rule refl :args (@t38)) % 0.31/0.57 (step @p145 :rule aci_norm :args ((= (or @t16 (or @t32 @t39 @t28)) @t158))) % 0.31/0.57 (step @p146 :rule refl :args (@t28)) % 0.31/0.57 (step @p147 :rule bool-double-not-elim :args (@t39)) % 0.31/0.57 (step @p148 :rule refl :args (@t32)) % 0.31/0.57 (step @p149 :rule nary_cong :premises (@p148 @p147 @p146) :args (@t184)) % 0.31/0.57 (step @p150 :rule aci_norm :args ((= (or @t32 @t185) @t184))) % 0.31/0.57 (step @p151 :rule trans :premises (@p150 @p149)) % 0.31/0.57 (step @p152 :rule bool-and-de-morgan :args (@t40 @t27 true)) % 0.31/0.57 (step @p153 :rule nary_cong :premises (@p148 @p152) :args ((or @t32 @t186))) % 0.31/0.57 (step @p154 :rule bool-and-de-morgan :args (@t29 @t40 (and @t27))) % 0.31/0.57 (step @p155 :rule trans :premises (@p154 @p153)) % 0.31/0.57 (step @p156 :rule trans :premises (@p155 @p151)) % 0.31/0.57 (step @p157 :rule refl :args (@t16)) % 0.31/0.57 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t41)) % 0.31/0.57 (step @p159 :rule trans :premises (@p158 @p145)) % 0.31/0.57 (step @p160 :rule cong :premises (@p159) :args (@t42)) % 0.31/0.57 (step @p161 :rule cong :premises (@p160) :args (@t43)) % 0.31/0.57 (step @p162 :rule aci_norm :args ((= (or @t16 (or @t29 @t39 @t28)) @t160))) % 0.31/0.57 (step @p163 :rule bool-double-not-elim :args (@t29)) % 0.31/0.57 (step @p164 :rule nary_cong :premises (@p163 @p147 @p146) :args (@t188)) % 0.31/0.57 (step @p165 :rule aci_norm :args ((= (or @t187 @t185) @t188))) % 0.31/0.57 (step @p166 :rule trans :premises (@p165 @p164)) % 0.31/0.57 (step @p167 :rule refl :args (@t187)) % 0.31/0.57 (step @p168 :rule nary_cong :premises (@p167 @p152) :args ((or @t187 @t186))) % 0.31/0.57 (step @p169 :rule bool-and-de-morgan :args (@t32 @t40 (and @t27))) % 0.31/0.57 (step @p170 :rule trans :premises (@p169 @p168)) % 0.31/0.57 (step @p171 :rule trans :premises (@p170 @p166)) % 0.31/0.57 (step @p172 :rule nary_cong :premises (@p157 @p171) :args (@t44)) % 0.31/0.57 (step @p173 :rule trans :premises (@p172 @p162)) % 0.31/0.57 (step @p174 :rule cong :premises (@p173) :args (@t45)) % 0.31/0.57 (step @p175 :rule cong :premises (@p174) :args (@t46)) % 0.31/0.57 (step @p176 :rule nary_cong :premises (@p175 @p161) :args (@t47)) % 0.31/0.57 (step @p177 :rule nary_cong :premises (@p176 @p144) :args (@t48)) % 0.31/0.57 (step @p178 :rule refl :args (@t49)) % 0.31/0.57 (step @p179 :rule refl :args (@t50)) % 0.31/0.57 (step @p180 :rule refl :args (@t14)) % 0.31/0.57 (step @p181 :rule aci_norm :args ((= @t190 @t116))) % 0.31/0.57 (step @p182 :rule aci_norm :args ((= @t192 @t121))) % 0.31/0.57 (step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t193)) % 0.31/0.57 (step @p184 :rule nary_cong :premises (@p183 @p180) :args (@t194)) % 0.31/0.57 (step @p185 :rule refl :args (@t28)) % 0.31/0.57 (step @p186 :rule aci_norm :args ((= @t196 @t126))) % 0.31/0.57 (step @p187 :rule aci_norm :args ((= @t198 @t131))) % 0.31/0.57 (step @p188 :rule nary_cong :premises (@p187 @p186) :args (@t199)) % 0.31/0.57 (step @p189 :rule nary_cong :premises (@p188 @p185) :args (@t200)) % 0.31/0.57 (step @p190 :rule refl :args (@t138)) % 0.31/0.57 (step @p191 :rule nary_cong :premises (@p190 @p189 @p184 @p179 @p178) :args (@t201)) % 0.31/0.57 (step @p192 :rule refl :args (@t16)) % 0.31/0.57 (step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t202)) % 0.31/0.57 (step @p194 :rule cong :premises (@p193) :args (@t203)) % 0.31/0.57 (step @p195 :rule quant-merge-prenex :args ((= (forall @t17 @t205) @t203))) % 0.31/0.57 (step @p196 :rule quant-unused-vars :args ((= @t206 @t49))) % 0.31/0.57 (step @p197 :rule quant-unused-vars :args ((= @t207 @t50))) % 0.31/0.57 (step @p198 :rule refl :args (@t14)) % 0.31/0.57 (step @p199 :rule refl :args (@t20)) % 0.31/0.57 (step @p200 :rule alpha_equiv :args (@t209 (@list @t112) (@list @t51))) % 0.31/0.57 (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t210)) % 0.31/0.57 (step @p202 :rule quant-miniscope-or :args ((= @t211 @t210))) % 0.31/0.57 (step @p203 :rule quant-unused-vars :args ((= @t213 @t211))) % 0.31/0.57 (step @p204 :rule trans :premises (@p203 @p202)) % 0.31/0.57 (step @p205 :rule trans :premises (@p204 @p201)) % 0.31/0.57 (step @p206 :rule refl :args (@t15)) % 0.31/0.57 (step @p207 :rule alpha_equiv :args (@t215 (@list @t117) (@list @t52))) % 0.31/0.57 (step @p208 :rule nary_cong :premises (@p207 @p206) :args (@t216)) % 0.31/0.57 (step @p209 :rule quant-miniscope-or :args ((= @t217 @t216))) % 0.31/0.57 (step @p210 :rule quant-unused-vars :args ((= @t218 @t217))) % 0.31/0.57 (step @p211 :rule trans :premises (@p210 @p209)) % 0.31/0.57 (step @p212 :rule trans :premises (@p211 @p208)) % 0.31/0.57 (step @p213 :rule nary_cong :premises (@p212 @p205) :args (@t219)) % 0.31/0.57 (step @p214 :rule quant-miniscope-and :args ((= @t220 @t219))) % 0.31/0.57 (step @p215 :rule trans :premises (@p214 @p213)) % 0.31/0.57 (step @p216 :rule nary_cong :premises (@p215 @p198) :args (@t221)) % 0.31/0.57 (step @p217 :rule quant-miniscope-or :args ((= @t222 @t221))) % 0.31/0.57 (step @p218 :rule quant-unused-vars :args ((= @t223 @t222))) % 0.31/0.57 (step @p219 :rule trans :premises (@p218 @p217)) % 0.31/0.57 (step @p220 :rule trans :premises (@p219 @p216)) % 0.31/0.57 (step @p221 :rule alpha_equiv :args (@t225 (@list @t122) (@list @t54))) % 0.31/0.57 (step @p222 :rule nary_cong :premises (@p221 @p148) :args (@t226)) % 0.31/0.57 (step @p223 :rule quant-miniscope-or :args ((= @t227 @t226))) % 0.31/0.57 (step @p224 :rule quant-unused-vars :args ((= @t229 @t227))) % 0.31/0.57 (step @p225 :rule trans :premises (@p224 @p223)) % 0.31/0.57 (step @p226 :rule trans :premises (@p225 @p222)) % 0.31/0.57 (step @p227 :rule refl :args (@t29)) % 0.31/0.57 (step @p228 :rule alpha_equiv :args (@t231 (@list @t127) (@list @t55))) % 0.31/0.57 (step @p229 :rule nary_cong :premises (@p228 @p227) :args (@t232)) % 0.31/0.57 (step @p230 :rule quant-miniscope-or :args ((= @t233 @t232))) % 0.31/0.57 (step @p231 :rule quant-unused-vars :args ((= @t234 @t233))) % 0.31/0.57 (step @p232 :rule trans :premises (@p231 @p230)) % 0.31/0.57 (step @p233 :rule trans :premises (@p232 @p229)) % 0.31/0.57 (step @p234 :rule nary_cong :premises (@p233 @p226) :args (@t235)) % 0.31/0.57 (step @p235 :rule quant-miniscope-and :args ((= @t236 @t235))) % 0.31/0.57 (step @p236 :rule trans :premises (@p235 @p234)) % 0.31/0.57 (step @p237 :rule nary_cong :premises (@p236 @p146) :args (@t237)) % 0.31/0.57 (step @p238 :rule quant-miniscope-or :args ((= @t238 @t237))) % 0.31/0.57 (step @p239 :rule quant-unused-vars :args ((= @t239 @t238))) % 0.31/0.57 (step @p240 :rule trans :premises (@p239 @p238)) % 0.31/0.57 (step @p241 :rule trans :premises (@p240 @p237)) % 0.31/0.57 (step @p242 :rule quant-unused-vars :args ((= @t240 @t138))) % 0.31/0.57 (step @p243 :rule nary_cong :premises (@p242 @p241 @p220 @p197 @p196) :args (@t241)) % 0.31/0.57 (step @p244 :rule quant-miniscope-and :args ((= @t242 @t241))) % 0.31/0.57 (step @p245 :rule trans :premises (@p244 @p243)) % 0.31/0.57 (step @p246 :rule nary_cong :premises (@p157 @p245) :args (@t243)) % 0.31/0.57 (step @p247 :rule quant-miniscope-or :args ((= @t205 @t243))) % 0.31/0.57 (step @p248 :rule trans :premises (@p247 @p246)) % 0.31/0.57 (step @p249 :rule symm :premises (@p248)) % 0.31/0.57 (step @p250 :rule cong :premises (@p249) :args ((forall @t17 (or @t16 (and @t138 @t56 @t53 @t50 @t49))))) % 0.31/0.57 (step @p251 :rule trans :premises (@p250 @p195)) % 0.31/0.57 (step @p252 :rule trans :premises (@p251 @p194)) % 0.31/0.57 (step @p253 :rule refl :args (@t49)) % 0.31/0.57 (step @p254 :rule refl :args (@t50)) % 0.31/0.57 (step @p255 :rule refl :args (@t53)) % 0.31/0.57 (step @p256 :rule refl :args (@t56)) % 0.31/0.57 (step @p257 :rule aci_norm :args ((= (or @t137 (or @t27 @t14)) @t138))) % 0.31/0.57 (step @p258 :rule bool-double-not-elim :args (@t27)) % 0.31/0.57 (step @p259 :rule nary_cong :premises (@p258 @p198) :args ((or (not @t28) @t14))) % 0.31/0.57 (step @p260 :rule bool-and-de-morgan :args (@t28 @t13 true)) % 0.31/0.57 (step @p261 :rule trans :premises (@p260 @p259)) % 0.31/0.57 (step @p262 :rule refl :args (@t137)) % 0.31/0.57 (step @p263 :rule nary_cong :premises (@p262 @p261) :args (@t244)) % 0.31/0.57 (step @p264 :rule trans :premises (@p263 @p257)) % 0.31/0.57 (step @p265 :rule nary_cong :premises (@p264 @p256 @p255 @p254 @p253) :args (@t245)) % 0.31/0.57 (step @p266 :rule nary_cong :premises (@p157 @p265) :args (@t246)) % 0.31/0.57 (step @p267 :rule cong :premises (@p266) :args ((forall @t17 @t246))) % 0.31/0.57 (step @p268 :rule trans :premises (@p267 @p252)) % 0.31/0.57 (step @p269 :rule refl :args (@t53)) % 0.31/0.57 (step @p270 :rule refl :args (@t56)) % 0.31/0.57 (step @p271 :rule refl :args (@t57)) % 0.31/0.57 (step @p272 :rule aci_norm :args ((= (or @t63 (or @t133 @t60 @t132)) @t134))) % 0.31/0.57 (step @p273 :rule refl :args (@t132)) % 0.31/0.57 (step @p274 :rule bool-double-not-elim :args (@t60)) % 0.31/0.57 (step @p275 :rule refl :args (@t133)) % 0.31/0.57 (step @p276 :rule nary_cong :premises (@p275 @p274 @p273) :args (@t248)) % 0.31/0.57 (step @p277 :rule aci_norm :args ((= (or @t133 (or @t247 @t132)) @t248))) % 0.31/0.57 (step @p278 :rule trans :premises (@p277 @p276)) % 0.31/0.57 (step @p279 :rule bool-and-de-morgan :args (@t61 @t59 true)) % 0.31/0.57 (step @p280 :rule nary_cong :premises (@p275 @p279) :args ((or @t133 (not (and @t61 @t59))))) % 0.31/0.57 (step @p281 :rule bool-and-de-morgan :args (@t62 @t61 (and @t59))) % 0.31/0.57 (step @p282 :rule trans :premises (@p281 @p280)) % 0.31/0.57 (step @p283 :rule trans :premises (@p282 @p278)) % 0.31/0.57 (step @p284 :rule refl :args (@t63)) % 0.31/0.57 (step @p285 :rule nary_cong :premises (@p284 @p283) :args (@t64)) % 0.31/0.57 (step @p286 :rule trans :premises (@p285 @p272)) % 0.31/0.57 (step @p287 :rule cong :premises (@p286) :args (@t66)) % 0.31/0.57 (step @p288 :rule cong :premises (@p287) :args (@t67)) % 0.31/0.57 (step @p289 :rule aci_norm :args ((= (or @t74 (or @t72 @t70 @t135)) @t136))) % 0.31/0.57 (step @p290 :rule refl :args (@t135)) % 0.31/0.57 (step @p291 :rule bool-double-not-elim :args (@t70)) % 0.31/0.57 (step @p292 :rule bool-double-not-elim :args (@t72)) % 0.31/0.57 (step @p293 :rule nary_cong :premises (@p292 @p291 @p290) :args (@t251)) % 0.31/0.57 (step @p294 :rule aci_norm :args ((= (or @t250 (or @t249 @t135)) @t251))) % 0.31/0.57 (step @p295 :rule trans :premises (@p294 @p293)) % 0.31/0.57 (step @p296 :rule bool-and-de-morgan :args (@t71 @t69 true)) % 0.31/0.57 (step @p297 :rule refl :args (@t250)) % 0.31/0.57 (step @p298 :rule nary_cong :premises (@p297 @p296) :args ((or @t250 (not (and @t71 @t69))))) % 0.31/0.57 (step @p299 :rule bool-and-de-morgan :args (@t73 @t71 (and @t69))) % 0.31/0.57 (step @p300 :rule trans :premises (@p299 @p298)) % 0.31/0.57 (step @p301 :rule trans :premises (@p300 @p295)) % 0.31/0.57 (step @p302 :rule refl :args (@t74)) % 0.31/0.57 (step @p303 :rule nary_cong :premises (@p302 @p301) :args (@t75)) % 0.31/0.57 (step @p304 :rule trans :premises (@p303 @p289)) % 0.31/0.57 (step @p305 :rule cong :premises (@p304) :args (@t77)) % 0.31/0.57 (step @p306 :rule cong :premises (@p305) :args (@t78)) % 0.31/0.57 (step @p307 :rule nary_cong :premises (@p306 @p288) :args (@t79)) % 0.31/0.57 (step @p308 :rule nary_cong :premises (@p307 @p271) :args (@t80)) % 0.31/0.57 (step @p309 :rule nary_cong :premises (@p308 @p270 @p269 @p179 @p178) :args (@t81)) % 0.31/0.57 (step @p310 :rule nary_cong :premises (@p192 @p309) :args (@t82)) % 0.31/0.57 (step @p311 :rule cong :premises (@p310) :args (@t83)) % 0.31/0.57 (step @p312 :rule trans :premises (@p311 @p268)) % 0.31/0.57 (step @p313 :rule nary_cong :premises (@p312 @p177 @p143 @p142 @p141 @p140 @p10 @p9) :args (@t84)) % 0.31/0.57 (step @p314 :rule cong :premises (@p313) :args (@t85)) % 0.31/0.57 (step @p315 :rule nary_cong :premises (@p14 @p314) :args (@t87)) % 0.31/0.57 (step @p316 :rule cong :premises (@p315) :args (@t88)) % 0.31/0.57 (step @p317 :rule cong :premises (@p316) :args (@t90)) % 0.31/0.57 (step @p318 :rule trans :premises (@p317 @p139)) % 0.31/0.57 (step @p319 :rule bool-double-not-elim :args (@t90)) % 0.31/0.57 (step @p320 :rule trans :premises (@p319 @p318)) % 0.31/0.57 (step @p321 :rule eq_resolve :premises (@p1 @p320)) % 0.31/0.57 (step @p322 :rule skolemize :premises (@p321)) % 0.31/0.57 (step @p323 :rule bool-double-not-elim :args (@t255)) % 0.31/0.57 (step @p324 :rule refl :args (@t270)) % 0.31/0.57 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or @t270 (not @t269)))) % 0.31/0.57 (step @p326 :rule cnf_or_neg :args (@t270 0)) % 0.31/0.57 (step @p327 :rule eq_resolve :premises (@p326 @p325)) % 0.31/0.57 (step @p328 :rule reordering :premises (@p327) :args ((or @t255 @t270))) % 0.31/0.57 (step @p329 :rule chain_m_resolution :premises (@p328 @p322) :args (@t255 @t271 @t272)) % 0.31/0.57 (step @p330 :rule bool-double-not-elim :args (@t256)) % 0.31/0.57 (step @p331 :rule nary_cong :premises (@p324 @p330) :args ((or @t270 (not @t257)))) % 0.31/0.57 (step @p332 :rule cnf_or_neg :args (@t270 8)) % 0.31/0.57 (step @p333 :rule eq_resolve :premises (@p332 @p331)) % 0.31/0.57 (step @p334 :rule reordering :premises (@p333) :args ((or @t256 @t270))) % 0.31/0.57 (step @p335 :rule chain_m_resolution :premises (@p334 @p322) :args (@t256 @t271 @t272)) % 0.31/0.57 (step @p336 :rule cnf_or_neg :args (@t270 2)) % 0.31/0.57 (step @p337 :rule chain_m_resolution :premises (@p336 @p322) :args ((not @t268) @t271 @t272)) % 0.31/0.57 (step @p338 :rule cnf_or_neg :args (@t270 7)) % 0.31/0.57 (step @p339 :rule reordering :premises (@p338) :args ((or @t259 @t270))) % 0.31/0.57 (step @p340 :rule chain_m_resolution :premises (@p339 @p322) :args (@t259 @t271 @t272)) % 0.31/0.57 (step @p341 :rule refl :args (@t257)) % 0.31/0.57 (step @p342 :rule bool-double-not-elim :args (@t258)) % 0.31/0.57 (step @p343 :rule refl :args (@t273)) % 0.31/0.57 (step @p344 :rule refl :args (@t268)) % 0.31/0.57 (step @p345 :rule nary_cong :premises (@p344 @p343 @p342 @p341) :args ((or @t268 @t273 (not @t259) @t257))) % 0.31/0.57 (step @p346 :rule cnf_and_neg :args (@t268)) % 0.31/0.57 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 0.31/0.57 (step @p348 :rule reordering :premises (@p347) :args ((or @t258 @t268 @t257 @t273))) % 0.31/0.57 (step @p349 :rule chain_m_resolution :premises (@p348 @p340 @p337 @p335) :args (@t273 (@list true true false) (@list @t258 @t268 @t256))) % 0.31/0.57 (step @p350 :rule cnf_or_neg :args (@t267 1)) % 0.31/0.57 (step @p351 :rule chain_m_resolution :premises (@p350 @p349) :args ((not @t264) @t271 @t274)) % 0.31/0.57 (step @p352 :rule bool-double-not-elim :args (@t265)) % 0.31/0.57 (step @p353 :rule refl :args (@t267)) % 0.31/0.57 (step @p354 :rule nary_cong :premises (@p353 @p352) :args ((or @t267 (not @t266)))) % 0.31/0.57 (step @p355 :rule cnf_or_neg :args (@t267 0)) % 0.31/0.57 (step @p356 :rule eq_resolve :premises (@p355 @p354)) % 0.31/0.57 (step @p357 :rule reordering :premises (@p356) :args ((or @t265 @t267))) % 0.31/0.57 (step @p358 :rule chain_m_resolution :premises (@p357 @p349) :args (@t265 @t271 @t274)) % 0.31/0.57 (step @p359 :rule cnf_or_pos :args (@t275)) % 0.31/0.57 (step @p360 :rule reordering :premises (@p359) :args ((or @t266 @t264 @t276))) % 0.31/0.57 (step @p361 :rule chain_m_resolution :premises (@p360 @p358 @p351) :args (@t276 (@list false true) (@list @t265 @t264))) % 0.31/0.57 (assume-push @p368 @t255) % 0.31/0.57 (step @p363 :rule instantiate :premises (@p329) :args ((@list @t263))) % 0.31/0.57 (step-pop @p369 :rule scope :premises (@p363)) % 0.31/0.57 (step @p364 :rule process_scope :premises (@p369) :args (@t275)) % 0.31/0.57 (step @p366 :rule implies_elim :premises (@p364)) % 0.31/0.57 (step @p367 false :rule chain_m_resolution :premises (@p366 @p361 @p329) :args (false (@list true false) (@list @t275 @t255))) % 0.31/0.57 ) % 0.31/0.57 % SZS output end Proof % 0.31/0.57 % cvc5 exiting %------------------------------------------------------------------------------