0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 120 THM 0.12/0.33 % Computer : n029.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Fri Sep 5 12:20:22 EDT 2025 0.12/0.34 % CPUTime : 0.19/0.50 %----Proving TF0_ARI 42.78/43.33 --- Run --finite-model-find --decision=internal at 18... 42.78/43.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 24... 42.78/43.33 --- Run --no-e-matching --full-saturate-quant at 18... 42.78/43.33 % SZS status Theorem 42.78/43.33 % SZS output start Proof 42.78/43.33 ( 42.78/43.33 (declare-type tptp.event ()) 42.78/43.33 (declare-type tptp.fluent ()) 42.78/43.33 (declare-type tptp.time ()) 42.78/43.33 (declare-const tptp.filling tptp.fluent) 42.78/43.33 (declare-const tptp.tapOff tptp.event) 42.78/43.33 (declare-const tptp.at_time (-> Int tptp.time)) 42.78/43.33 (declare-const tptp.happens (-> tptp.event tptp.time Bool)) 42.78/43.33 (declare-const tptp.stoppedIn (-> tptp.time tptp.fluent tptp.time Bool)) 42.78/43.33 (declare-const tptp.holdsAt (-> tptp.fluent tptp.time Bool)) 42.78/43.33 (declare-const tptp.overflow tptp.event) 42.78/43.33 (declare-const tptp.trajectory (-> tptp.fluent tptp.time tptp.fluent Int Bool)) 42.78/43.33 (declare-const tptp.initiates (-> tptp.event tptp.fluent tptp.time Bool)) 42.78/43.33 (declare-const tptp.startedIn (-> tptp.time tptp.fluent tptp.time Bool)) 42.78/43.33 (declare-const tptp.releasedAt (-> tptp.fluent tptp.time Bool)) 42.78/43.33 (declare-const tptp.spilling tptp.fluent) 42.78/43.33 (declare-const tptp.antitrajectory (-> tptp.fluent tptp.time tptp.fluent Int Bool)) 42.78/43.33 (declare-const tptp.tapOn tptp.event) 42.78/43.33 (declare-const tptp.releases (-> tptp.event tptp.fluent tptp.time Bool)) 42.78/43.33 (declare-const tptp.terminates (-> tptp.event tptp.fluent tptp.time Bool)) 42.78/43.33 (declare-const tptp.waterLevel (-> Int tptp.fluent)) 42.78/43.33 (define @t1 () (@var "Time2" Int)) 42.78/43.33 (define @t2 () (@var "Time" Int)) 42.78/43.33 (define @t3 () (< @t2 @t1)) 42.78/43.33 (define @t4 () (tptp.at_time @t2)) 42.78/43.33 (define @t5 () (@var "Fluent" tptp.fluent)) 42.78/43.33 (define @t6 () (@var "Event" tptp.event)) 42.78/43.33 (define @t7 () (tptp.terminates @t6 @t5 @t4)) 42.78/43.33 (define @t8 () (@var "Time1" Int)) 42.78/43.33 (define @t9 () (< @t8 @t2)) 42.78/43.33 (define @t10 () (tptp.happens @t6 @t4)) 42.78/43.33 (define @t11 () (@list @t6 @t2)) 42.78/43.33 (define @t12 () (tptp.at_time @t1)) 42.78/43.33 (define @t13 () (tptp.at_time @t8)) 42.78/43.33 (define @t14 () (@list @t8 @t5 @t1)) 42.78/43.33 (define @t15 () (@var "Offset" Int)) 42.78/43.33 (define @t16 () (tptp.at_time (+ @t2 @t15))) 42.78/43.33 (define @t17 () (@var "Fluent2" tptp.fluent)) 42.78/43.33 (define @t18 () (tptp.initiates @t6 @t5 @t4)) 42.78/43.33 (define @t19 () (+ @t2 1)) 42.78/43.33 (define @t20 () (tptp.at_time @t19)) 42.78/43.33 (define @t21 () (tptp.holdsAt @t5 @t20)) 42.78/43.33 (define @t22 () (not @t21)) 42.78/43.33 (define @t23 () (@list @t6 @t2 @t5)) 42.78/43.33 (define @t24 () (tptp.holdsAt @t5 @t4)) 42.78/43.33 (define @t25 () (not @t24)) 42.78/43.33 (define @t26 () (tptp.releasedAt @t5 @t20)) 42.78/43.33 (define @t27 () (not @t26)) 42.78/43.33 (define @t28 () (and @t10 @t18)) 42.78/43.33 (define @t29 () (@list @t6)) 42.78/43.33 (define @t30 () (@list @t5 @t2)) 42.78/43.33 (define @t31 () (tptp.at_time (+ @t8 @t1))) 42.78/43.33 (define @t32 () (@var "Fluent1" tptp.fluent)) 42.78/43.33 (define @t33 () (tptp.releases @t6 @t5 @t4)) 42.78/43.33 (define @t34 () (or @t18 @t7)) 42.78/43.33 (define @t35 () (and @t10 @t34)) 42.78/43.33 (define @t36 () (=> @t35 @t27)) 42.78/43.33 (define @t37 () (forall @t23 @t36)) 42.78/43.33 (define @t38 () (=> @t28 @t21)) 42.78/43.33 (define @t39 () (forall @t23 @t38)) 42.78/43.33 (define @t40 () (and @t7 @t10)) 42.78/43.33 (define @t41 () (exists @t29 @t40)) 42.78/43.33 (define @t42 () (not @t41)) 42.78/43.33 (define @t43 () (and @t42 @t27 @t24)) 42.78/43.33 (define @t44 () (=> @t43 @t21)) 42.78/43.33 (define @t45 () (forall @t30 @t44)) 42.78/43.33 (define @t46 () (tptp.releasedAt @t5 @t4)) 42.78/43.33 (define @t47 () (not @t46)) 42.78/43.33 (define @t48 () (and @t10 @t33)) 42.78/43.33 (define @t49 () (exists @t29 @t48)) 42.78/43.33 (define @t50 () (not @t49)) 42.78/43.33 (define @t51 () (and @t50 @t47)) 42.78/43.33 (define @t52 () (=> @t51 @t27)) 42.78/43.33 (define @t53 () (forall @t30 @t52)) 42.78/43.33 (define @t54 () (= @t6 tptp.tapOn)) 42.78/43.33 (define @t55 () (@var "Height" Int)) 42.78/43.33 (define @t56 () (tptp.waterLevel @t55)) 42.78/43.33 (define @t57 () (= @t5 @t56)) 42.78/43.33 (define @t58 () (and @t57 @t54)) 42.78/43.33 (define @t59 () (@list @t55)) 42.78/43.33 (define @t60 () (exists @t59 @t58)) 42.78/43.33 (define @t61 () (= @t33 @t60)) 42.78/43.33 (define @t62 () (@list @t6 @t5 @t2)) 42.78/43.33 (define @t63 () (forall @t62 @t61)) 42.78/43.33 (define @t64 () (= tptp.tapOff tptp.overflow)) 42.78/43.33 (define @t65 () (@var "Height2" Int)) 42.78/43.33 (define @t66 () (@var "Height1" Int)) 42.78/43.33 (define @t67 () (tptp.holdsAt (tptp.waterLevel @t66) @t4)) 42.78/43.33 (define @t68 () (tptp.waterLevel @t65)) 42.78/43.33 (define @t69 () (= @t6 tptp.tapOff)) 42.78/43.33 (define @t70 () (= @t5 tptp.filling)) 42.78/43.33 (define @t71 () (= @t6 tptp.overflow)) 42.78/43.33 (define @t72 () (forall @t62 (= @t7 (or (and @t70 @t71) (and @t70 @t69))))) 42.78/43.33 (define @t73 () (= tptp.filling tptp.spilling)) 42.78/43.33 (define @t74 () (@var "X" Int)) 42.78/43.33 (define @t75 () (tptp.waterLevel @t74)) 42.78/43.33 (define @t76 () (@list @t74)) 42.78/43.33 (define @t77 () (forall @t76 (not (= tptp.filling @t75)))) 42.78/43.33 (define @t78 () (= tptp.tapOn tptp.tapOff)) 42.78/43.33 (define @t79 () (= tptp.tapOn tptp.overflow)) 42.78/43.33 (define @t80 () (@var "Y" Int)) 42.78/43.33 (define @t81 () (forall @t76 (not (= tptp.spilling @t75)))) 42.78/43.33 (define @t82 () (and @t54 @t70)) 42.78/43.33 (define @t83 () (and (= @t5 tptp.spilling) @t71)) 42.78/43.33 (define @t84 () (tptp.holdsAt @t56 @t4)) 42.78/43.33 (define @t85 () (and @t57 @t71 @t84)) 42.78/43.33 (define @t86 () (exists @t59 @t85)) 42.78/43.33 (define @t87 () (and @t84 @t69 @t57)) 42.78/43.33 (define @t88 () (exists @t59 @t87)) 42.78/43.33 (define @t89 () (or @t88 @t86 @t83 @t82)) 42.78/43.33 (define @t90 () (= @t18 @t89)) 42.78/43.33 (define @t91 () (forall @t62 @t90)) 42.78/43.33 (define @t92 () (tptp.at_time 0)) 42.78/43.33 (define @t93 () (tptp.at_time 3)) 42.78/43.33 (define @t94 () (tptp.holdsAt tptp.filling @t93)) 42.78/43.33 (define @t95 () (tptp.holdsAt tptp.spilling @t93)) 42.78/43.33 (define @t96 () (tptp.waterLevel 3)) 42.78/43.33 (define @t97 () (or (and @t54 (= @t2 0)) (and (tptp.holdsAt @t96 @t4) @t71 (tptp.holdsAt tptp.filling @t4)))) 42.78/43.33 (define @t98 () (forall @t11 (= @t97 @t10))) 42.78/43.33 (define @t99 () (tptp.releasedAt tptp.spilling @t92)) 42.78/43.33 (define @t100 () (tptp.holdsAt tptp.filling @t92)) 42.78/43.33 (define @t101 () (+ 1 @t2)) 42.78/43.33 (define @t102 () (tptp.at_time @t101)) 42.78/43.33 (define @t103 () (tptp.releasedAt @t5 @t102)) 42.78/43.33 (define @t104 () (not @t103)) 42.78/43.33 (define @t105 () (not @t10)) 42.78/43.33 (define @t106 () (forall @t29 (or @t105 (not @t33)))) 42.78/43.33 (define @t107 () (not @t106)) 42.78/43.33 (define @t108 () (or @t107 @t46 @t104)) 42.78/43.33 (define @t109 () (and @t106 @t47)) 42.78/43.33 (define @t110 () (forall @t29 (not @t48))) 42.78/43.33 (define @t111 () (not @t110)) 42.78/43.33 (define @t112 () (+ 1 2)) 42.78/43.33 (define @t113 () (tptp.at_time @t112)) 42.78/43.33 (define @t114 () (tptp.releasedAt tptp.spilling @t113)) 42.78/43.33 (define @t115 () (not @t114)) 42.78/43.33 (define @t116 () (tptp.at_time 2)) 42.78/43.33 (define @t117 () (tptp.releasedAt tptp.spilling @t116)) 42.78/43.33 (define @t118 () (not (tptp.happens @t6 @t116))) 42.78/43.33 (define @t119 () (forall @t29 (or @t118 (not (tptp.releases @t6 tptp.spilling @t116))))) 42.78/43.33 (define @t120 () (not @t119)) 42.78/43.33 (define @t121 () (or @t120 @t117 @t115)) 42.78/43.33 (define @t122 () (forall @t30 @t108)) 42.78/43.33 (define @t123 () (@list tptp.spilling 2)) 42.78/43.33 (define @t124 () (@list false)) 42.78/43.33 (define @t125 () (@list @t122)) 42.78/43.33 (define @t126 () (tptp.holdsAt @t5 @t102)) 42.78/43.33 (define @t127 () (not @t7)) 42.78/43.33 (define @t128 () (forall @t29 (or @t127 @t105))) 42.78/43.33 (define @t129 () (not @t128)) 42.78/43.33 (define @t130 () (or @t129 @t103 @t25 @t126)) 42.78/43.33 (define @t131 () (not @t104)) 42.78/43.33 (define @t132 () (or @t129 @t131 @t25)) 42.78/43.33 (define @t133 () (and @t128 @t104 @t24)) 42.78/43.33 (define @t134 () (forall @t29 (not @t40))) 42.78/43.33 (define @t135 () (not @t134)) 42.78/43.33 (define @t136 () (tptp.holdsAt tptp.spilling @t113)) 42.78/43.33 (define @t137 () (tptp.holdsAt tptp.spilling @t116)) 42.78/43.33 (define @t138 () (not @t137)) 42.78/43.33 (define @t139 () (forall @t29 (or (not (tptp.terminates @t6 tptp.spilling @t116)) @t118))) 42.78/43.33 (define @t140 () (not @t139)) 42.78/43.33 (define @t141 () (or @t140 @t114 @t138 @t136)) 42.78/43.33 (define @t142 () (forall @t30 @t130)) 42.78/43.33 (define @t143 () (@list @t142)) 42.78/43.33 (define @t144 () (@quantifiers_skolemize @t139 0)) 42.78/43.33 (define @t145 () (= tptp.spilling tptp.filling)) 42.78/43.33 (define @t146 () (and @t145 (= @t144 tptp.tapOff))) 42.78/43.33 (define @t147 () (and @t145 (= @t144 tptp.overflow))) 42.78/43.33 (define @t148 () (or @t147 @t146)) 42.78/43.33 (define @t149 () (tptp.terminates @t144 tptp.spilling @t116)) 42.78/43.33 (define @t150 () (= @t149 @t148)) 42.78/43.33 (define @t151 () (@list @t72)) 42.78/43.33 (define @t152 () (and @t145 (= tptp.tapOff @t144))) 42.78/43.33 (define @t153 () (@list true)) 42.78/43.33 (define @t154 () (@list @t145)) 42.78/43.33 (define @t155 () (and @t145 (= tptp.overflow @t144))) 42.78/43.33 (define @t156 () (or @t155 @t152)) 42.78/43.33 (define @t157 () (= @t149 @t156)) 42.78/43.33 (define @t158 () (not @t149)) 42.78/43.33 (define @t159 () (@list true false)) 42.78/43.33 (define @t160 () (or @t158 (not (tptp.happens @t144 @t116)))) 42.78/43.33 (define @t161 () (not @t160)) 42.78/43.33 (define @t162 () (not @t18)) 42.78/43.33 (define @t163 () (or @t105 @t162 @t126)) 42.78/43.33 (define @t164 () (+ 1 1)) 42.78/43.33 (define @t165 () (tptp.at_time @t164)) 42.78/43.33 (define @t166 () (tptp.holdsAt tptp.spilling @t165)) 42.78/43.33 (define @t167 () (tptp.at_time 1)) 42.78/43.33 (define @t168 () (tptp.initiates tptp.overflow tptp.spilling @t167)) 42.78/43.33 (define @t169 () (not @t168)) 42.78/43.33 (define @t170 () (tptp.happens tptp.overflow @t167)) 42.78/43.33 (define @t171 () (not @t170)) 42.78/43.33 (define @t172 () (or @t171 @t169 @t166)) 42.78/43.33 (define @t173 () (forall @t23 @t163)) 42.78/43.33 (define @t174 () (@list @t173)) 42.78/43.33 (define @t175 () (not @t84)) 42.78/43.33 (define @t176 () (not @t57)) 42.78/43.33 (define @t177 () (or @t176 @t175)) 42.78/43.33 (define @t178 () (forall @t59 @t177)) 42.78/43.33 (define @t179 () (not @t178)) 42.78/43.33 (define @t180 () (not @t71)) 42.78/43.33 (define @t181 () (or @t175 @t176)) 42.78/43.33 (define @t182 () (forall @t59 @t181)) 42.78/43.33 (define @t183 () (not @t182)) 42.78/43.33 (define @t184 () (not @t69)) 42.78/43.33 (define @t185 () (or @t180 @t178)) 42.78/43.33 (define @t186 () (or @t184 @t182)) 42.78/43.33 (define @t187 () (or (not @t186) (not @t185) @t83 @t82)) 42.78/43.33 (define @t188 () (= @t18 @t187)) 42.78/43.33 (define @t189 () (or @t180 @t177)) 42.78/43.33 (define @t190 () (or @t176 @t180 @t175)) 42.78/43.33 (define @t191 () (forall @t59 (not @t85))) 42.78/43.33 (define @t192 () (not @t191)) 42.78/43.33 (define @t193 () (or @t184 @t181)) 42.78/43.33 (define @t194 () (or @t175 @t184 @t176)) 42.78/43.33 (define @t195 () (forall @t59 (not @t87))) 42.78/43.33 (define @t196 () (not @t195)) 42.78/43.33 (define @t197 () (and @t79 @t145)) 42.78/43.33 (define @t198 () (not (tptp.holdsAt @t56 @t167))) 42.78/43.33 (define @t199 () (not (= tptp.spilling @t56))) 42.78/43.33 (define @t200 () (not (forall @t59 (or @t199 @t198)))) 42.78/43.33 (define @t201 () (not (forall @t59 (or @t198 @t199)))) 42.78/43.33 (define @t202 () (and (= tptp.overflow tptp.tapOn) @t145)) 42.78/43.33 (define @t203 () (= tptp.overflow tptp.overflow)) 42.78/43.33 (define @t204 () (and (= tptp.spilling tptp.spilling) @t203)) 42.78/43.33 (define @t205 () (and @t203 @t200)) 42.78/43.33 (define @t206 () (= tptp.overflow tptp.tapOff)) 42.78/43.33 (define @t207 () (and @t206 @t201)) 42.78/43.33 (define @t208 () (or @t207 @t205 @t204 @t202)) 42.78/43.33 (define @t209 () (= @t168 @t208)) 42.78/43.33 (define @t210 () (forall @t62 (= @t18 (or (and @t69 @t183) (and @t71 @t179) @t83 @t82)))) 42.78/43.33 (define @t211 () (@list @t210)) 42.78/43.33 (define @t212 () (tptp.holdsAt tptp.filling @t165)) 42.78/43.33 (define @t213 () (tptp.holdsAt tptp.filling @t167)) 42.78/43.33 (define @t214 () (not @t213)) 42.78/43.33 (define @t215 () (tptp.releasedAt tptp.filling @t165)) 42.78/43.33 (define @t216 () (not (tptp.happens @t6 @t167))) 42.78/43.33 (define @t217 () (forall @t29 (or (not (tptp.terminates @t6 tptp.filling @t167)) @t216))) 42.78/43.33 (define @t218 () (not @t217)) 42.78/43.33 (define @t219 () (or @t218 @t215 @t214 @t212)) 42.78/43.33 (define @t220 () (@list tptp.filling 1)) 42.78/43.33 (define @t221 () (tptp.holdsAt tptp.filling @t113)) 42.78/43.33 (define @t222 () (tptp.holdsAt tptp.filling @t116)) 42.78/43.33 (define @t223 () (not @t222)) 42.78/43.33 (define @t224 () (tptp.releasedAt tptp.filling @t113)) 42.78/43.33 (define @t225 () (forall @t29 (or (not (tptp.terminates @t6 tptp.filling @t116)) @t118))) 42.78/43.33 (define @t226 () (not @t225)) 42.78/43.33 (define @t227 () (or @t226 @t224 @t223 @t221)) 42.78/43.33 (define @t228 () (@list tptp.filling 2)) 42.78/43.33 (define @t229 () (@quantifiers_skolemize @t225 0)) 42.78/43.33 (define @t230 () (tptp.happens @t229 @t116)) 42.78/43.33 (define @t231 () (not @t230)) 42.78/43.33 (define @t232 () (tptp.terminates @t229 tptp.filling @t116)) 42.78/43.33 (define @t233 () (not @t232)) 42.78/43.33 (define @t234 () (or @t233 @t231)) 42.78/43.33 (define @t235 () (= tptp.tapOff @t229)) 42.78/43.33 (define @t236 () (= tptp.filling tptp.filling)) 42.78/43.33 (define @t237 () (and @t236 (= @t229 tptp.tapOff))) 42.78/43.33 (define @t238 () (= tptp.overflow @t229)) 42.78/43.33 (define @t239 () (and @t236 (= @t229 tptp.overflow))) 42.78/43.33 (define @t240 () (or @t239 @t237)) 42.78/43.33 (define @t241 () (= @t232 @t240)) 42.78/43.33 (define @t242 () (or @t238 @t235)) 42.78/43.33 (define @t243 () (= @t232 @t242)) 42.78/43.33 (define @t244 () (tptp.initiates tptp.overflow tptp.spilling @t116)) 42.78/43.33 (define @t245 () (not @t244)) 42.78/43.33 (define @t246 () (tptp.happens tptp.overflow @t116)) 42.78/43.33 (define @t247 () (not @t246)) 42.78/43.33 (define @t248 () (or @t247 @t245 @t136)) 42.78/43.33 (define @t249 () (not (tptp.holdsAt @t56 @t116))) 42.78/43.33 (define @t250 () (not (forall @t59 (or @t199 @t249)))) 42.78/43.33 (define @t251 () (not (forall @t59 (or @t249 @t199)))) 42.78/43.33 (define @t252 () (and @t203 @t250)) 42.78/43.33 (define @t253 () (and @t206 @t251)) 42.78/43.33 (define @t254 () (or @t253 @t252 @t204 @t202)) 42.78/43.33 (define @t255 () (= @t244 @t254)) 42.78/43.33 (define @t256 () (or @t247 @t245 @t95)) 42.78/43.33 (define @t257 () (@list true false false)) 42.78/43.33 (define @t258 () (not @t238)) 42.78/43.33 (define @t259 () (= true false)) 42.78/43.33 (define @t260 () (and @t247 @t238 @t230)) 42.78/43.33 (define @t261 () (tptp.holdsAt @t96 @t116)) 42.78/43.33 (define @t262 () (and @t261 @t64 @t222)) 42.78/43.33 (define @t263 () (= 2 0)) 42.78/43.33 (define @t264 () (and (= tptp.tapOff tptp.tapOn) @t263)) 42.78/43.33 (define @t265 () (or @t264 @t262)) 42.78/43.33 (define @t266 () (tptp.happens tptp.tapOff @t116)) 42.78/43.33 (define @t267 () (= @t266 @t265)) 42.78/43.33 (define @t268 () (forall @t11 (= @t10 @t97))) 42.78/43.33 (define @t269 () (@list @t268)) 42.78/43.33 (define @t270 () (= @t266 @t262)) 42.78/43.33 (define @t271 () (not @t266)) 42.78/43.33 (define @t272 () (not @t235)) 42.78/43.33 (define @t273 () (and @t271 @t235 @t230)) 42.78/43.33 (define @t274 () (not @t234)) 42.78/43.33 (define @t275 () (not @t224)) 42.78/43.33 (define @t276 () (tptp.releasedAt tptp.filling @t116)) 42.78/43.33 (define @t277 () (forall @t29 (or @t118 (not (tptp.releases @t6 tptp.filling @t116))))) 42.78/43.33 (define @t278 () (not @t277)) 42.78/43.33 (define @t279 () (or @t278 @t276 @t275)) 42.78/43.33 (define @t280 () (forall @t59 @t176)) 42.78/43.33 (define @t281 () (not @t280)) 42.78/43.33 (define @t282 () (not @t54)) 42.78/43.33 (define @t283 () (or @t282 @t280)) 42.78/43.33 (define @t284 () (= @t33 (not @t283))) 42.78/43.33 (define @t285 () (or @t282 @t176)) 42.78/43.33 (define @t286 () (or @t176 @t282)) 42.78/43.33 (define @t287 () (forall @t59 (not @t58))) 42.78/43.33 (define @t288 () (not @t287)) 42.78/43.33 (define @t289 () (not (= tptp.filling @t56))) 42.78/43.33 (define @t290 () (forall @t59 @t289)) 42.78/43.33 (define @t291 () (not @t290)) 42.78/43.33 (define @t292 () (@quantifiers_skolemize @t277 0)) 42.78/43.33 (define @t293 () (and (= @t292 tptp.tapOn) @t291)) 42.78/43.33 (define @t294 () (tptp.releases @t292 tptp.filling @t116)) 42.78/43.33 (define @t295 () (= @t294 @t293)) 42.78/43.33 (define @t296 () (forall @t62 (= @t33 (and @t54 @t281)))) 42.78/43.33 (define @t297 () (@list @t296)) 42.78/43.33 (define @t298 () (@list @t74)) 42.78/43.33 (define @t299 () (@list @t55)) 42.78/43.33 (define @t300 () (and (= tptp.tapOn @t292) @t291)) 42.78/43.33 (define @t301 () (@list @t290)) 42.78/43.33 (define @t302 () (= @t294 @t300)) 42.78/43.33 (define @t303 () (not @t294)) 42.78/43.33 (define @t304 () (or (not (tptp.happens @t292 @t116)) @t303)) 42.78/43.33 (define @t305 () (not @t304)) 42.78/43.33 (define @t306 () (not @t215)) 42.78/43.33 (define @t307 () (tptp.releasedAt tptp.filling @t167)) 42.78/43.33 (define @t308 () (forall @t29 (or @t216 (not (tptp.releases @t6 tptp.filling @t167))))) 42.78/43.33 (define @t309 () (not @t308)) 42.78/43.33 (define @t310 () (or @t309 @t307 @t306)) 42.78/43.33 (define @t311 () (@quantifiers_skolemize @t308 0)) 42.78/43.33 (define @t312 () (and (= @t311 tptp.tapOn) @t291)) 42.78/43.33 (define @t313 () (tptp.releases @t311 tptp.filling @t167)) 42.78/43.33 (define @t314 () (= @t313 @t312)) 42.78/43.33 (define @t315 () (and (= tptp.tapOn @t311) @t291)) 42.78/43.33 (define @t316 () (= @t313 @t315)) 42.78/43.33 (define @t317 () (not @t313)) 42.78/43.33 (define @t318 () (or (not (tptp.happens @t311 @t167)) @t317)) 42.78/43.33 (define @t319 () (not @t318)) 42.78/43.33 (define @t320 () (and @t162 @t127)) 42.78/43.33 (define @t321 () (or @t105 @t320 @t104)) 42.78/43.33 (define @t322 () (+ 1 0)) 42.78/43.33 (define @t323 () (tptp.at_time @t322)) 42.78/43.33 (define @t324 () (tptp.releasedAt tptp.filling @t323)) 42.78/43.33 (define @t325 () (not @t324)) 42.78/43.33 (define @t326 () (tptp.initiates tptp.tapOn tptp.filling @t92)) 42.78/43.33 (define @t327 () (not @t326)) 42.78/43.33 (define @t328 () (and @t327 (not (tptp.terminates tptp.tapOn tptp.filling @t92)))) 42.78/43.33 (define @t329 () (tptp.happens tptp.tapOn @t92)) 42.78/43.33 (define @t330 () (not @t329)) 42.78/43.33 (define @t331 () (or @t330 @t328 @t325)) 42.78/43.33 (define @t332 () (forall @t23 @t321)) 42.78/43.33 (define @t333 () (@list tptp.tapOn 0 tptp.filling)) 42.78/43.33 (define @t334 () (not (tptp.holdsAt @t56 @t92))) 42.78/43.33 (define @t335 () (and @t79 (not (forall @t59 (or @t289 @t334))))) 42.78/43.33 (define @t336 () (and @t78 (not (forall @t59 (or @t334 @t289))))) 42.78/43.33 (define @t337 () (= tptp.tapOn tptp.tapOn)) 42.78/43.33 (define @t338 () (and @t337 @t236)) 42.78/43.33 (define @t339 () (and @t73 @t79)) 42.78/43.33 (define @t340 () (or @t336 @t335 @t339 @t338)) 42.78/43.33 (define @t341 () (= @t326 @t340)) 42.78/43.33 (define @t342 () (and (tptp.holdsAt @t96 @t92) @t79 @t100)) 42.78/43.33 (define @t343 () (= 0 0)) 42.78/43.33 (define @t344 () (and @t337 @t343)) 42.78/43.33 (define @t345 () (or @t344 @t342)) 42.78/43.33 (define @t346 () (= @t329 @t345)) 42.78/43.33 (define @t347 () (not @t307)) 42.78/43.33 (define @t348 () (or @t330 @t328 @t347)) 42.78/43.33 (define @t349 () (@list false true false)) 42.78/43.33 (define @t350 () (not @t276)) 42.78/43.33 (define @t351 () (or @t309 @t307 @t350)) 42.78/43.33 (define @t352 () (tptp.releasedAt tptp.filling @t93)) 42.78/43.33 (define @t353 () (not @t352)) 42.78/43.33 (define @t354 () (or @t278 @t276 @t353)) 42.78/43.33 (define @t355 () (or @t226 @t352 @t223 @t94)) 42.78/43.33 (define @t356 () (tptp.holdsAt tptp.filling @t323)) 42.78/43.33 (define @t357 () (or @t330 @t327 @t356)) 42.78/43.33 (define @t358 () (or @t330 @t327 @t213)) 42.78/43.33 (define @t359 () (@list false false false)) 42.78/43.33 (define @t360 () (or @t218 @t276 @t214 @t222)) 42.78/43.33 (define @t361 () (@quantifiers_skolemize @t217 0)) 42.78/43.33 (define @t362 () (tptp.happens @t361 @t167)) 42.78/43.33 (define @t363 () (not @t362)) 42.78/43.33 (define @t364 () (or (not (tptp.terminates @t361 tptp.filling @t167)) @t363)) 42.78/43.33 (define @t365 () (not @t364)) 42.78/43.33 (define @t366 () (= tptp.overflow @t361)) 42.78/43.33 (define @t367 () (tptp.holdsAt @t96 @t167)) 42.78/43.33 (define @t368 () (and @t367 @t366 @t213)) 42.78/43.33 (define @t369 () (and @t367 (= @t361 tptp.overflow) @t213)) 42.78/43.33 (define @t370 () (= 1 0)) 42.78/43.33 (define @t371 () (and (= @t361 tptp.tapOn) @t370)) 42.78/43.33 (define @t372 () (or @t371 @t369)) 42.78/43.33 (define @t373 () (= @t362 @t372)) 42.78/43.33 (define @t374 () (= @t362 @t368)) 42.78/43.33 (define @t375 () (and @t362 @t366)) 42.78/43.33 (define @t376 () (or @t171 @t169 @t137)) 42.78/43.33 (define @t377 () (tptp.releasedAt tptp.spilling @t93)) 42.78/43.33 (define @t378 () (or @t140 @t377 @t138 @t95)) 42.78/43.33 (define @t379 () (tptp.releasedAt tptp.spilling @t165)) 42.78/43.33 (define @t380 () (not @t379)) 42.78/43.33 (define @t381 () (tptp.releasedAt tptp.spilling @t167)) 42.78/43.33 (define @t382 () (forall @t29 (or @t216 (not (tptp.releases @t6 tptp.spilling @t167))))) 42.78/43.33 (define @t383 () (not @t382)) 42.78/43.33 (define @t384 () (or @t383 @t381 @t380)) 42.78/43.33 (define @t385 () (forall @t59 @t199)) 42.78/43.33 (define @t386 () (not @t385)) 42.78/43.33 (define @t387 () (@quantifiers_skolemize @t382 0)) 42.78/43.33 (define @t388 () (and (= @t387 tptp.tapOn) @t386)) 42.78/43.33 (define @t389 () (tptp.releases @t387 tptp.spilling @t167)) 42.78/43.33 (define @t390 () (= @t389 @t388)) 42.78/43.33 (define @t391 () (and (= tptp.tapOn @t387) @t386)) 42.78/43.33 (define @t392 () (@list @t385)) 42.78/43.33 (define @t393 () (= @t389 @t391)) 42.78/43.33 (define @t394 () (not @t389)) 42.78/43.33 (define @t395 () (or (not (tptp.happens @t387 @t167)) @t394)) 42.78/43.33 (define @t396 () (not @t395)) 42.78/43.33 (define @t397 () (tptp.releasedAt tptp.spilling @t323)) 42.78/43.33 (define @t398 () (not @t397)) 42.78/43.33 (define @t399 () (forall @t29 (or (not (tptp.happens @t6 @t92)) (not (tptp.releases @t6 tptp.spilling @t92))))) 42.78/43.33 (define @t400 () (not @t399)) 42.78/43.33 (define @t401 () (or @t400 @t99 @t398)) 42.78/43.33 (define @t402 () (@quantifiers_skolemize @t399 0)) 42.78/43.33 (define @t403 () (and (= @t402 tptp.tapOn) @t386)) 42.78/43.33 (define @t404 () (tptp.releases @t402 tptp.spilling @t92)) 42.78/43.33 (define @t405 () (= @t404 @t403)) 42.78/43.33 (define @t406 () (and (= tptp.tapOn @t402) @t386)) 42.78/43.33 (define @t407 () (= @t404 @t406)) 42.78/43.33 (define @t408 () (not @t404)) 42.78/43.33 (define @t409 () (or (not (tptp.happens @t402 @t92)) @t408)) 42.78/43.33 (define @t410 () (not @t409)) 42.78/43.33 (define @t411 () (not @t381)) 42.78/43.33 (define @t412 () (or @t400 @t99 @t411)) 42.78/43.33 (define @t413 () (not @t117)) 42.78/43.33 (define @t414 () (or @t383 @t381 @t413)) 42.78/43.33 (define @t415 () (not @t377)) 42.78/43.33 (define @t416 () (or @t120 @t117 @t415)) 42.78/43.33 (define @t417 () (@quantifiers_skolemize @t119 0)) 42.78/43.33 (define @t418 () (tptp.happens @t417 @t116)) 42.78/43.33 (define @t419 () (not @t418)) 42.78/43.33 (define @t420 () (or @t419 (not (tptp.releases @t417 tptp.spilling @t116)))) 42.78/43.33 (define @t421 () (not @t420)) 42.78/43.33 (define @t422 () (and @t261 (= tptp.overflow @t417) @t222)) 42.78/43.33 (define @t423 () (and @t261 (= @t417 tptp.overflow) @t222)) 42.78/43.33 (define @t424 () (and (= @t417 tptp.tapOn) @t263)) 42.78/43.33 (define @t425 () (or @t424 @t423)) 42.78/43.33 (define @t426 () (= @t418 @t425)) 42.78/43.33 (define @t427 () (= @t418 @t422)) 42.78/43.33 (assume @p1 (forall @t14 (= (tptp.stoppedIn @t13 @t5 @t12) (exists @t11 (and @t10 @t9 @t7 @t3))))) 42.78/43.33 (assume @p2 (forall (@list @t6 @t2 @t5 @t17 @t15) (=> (and @t18 (< 0 @t15) (not (tptp.stoppedIn @t4 @t5 @t16)) (tptp.trajectory @t5 @t4 @t17 @t15) @t10) (tptp.holdsAt @t17 @t16)))) 42.78/43.33 (assume @p3 (forall @t23 (=> (and @t10 @t7) @t22))) 42.78/43.33 (assume @p4 (forall @t14 (= (exists @t11 (and @t9 @t18 @t3 @t10)) (tptp.startedIn @t13 @t5 @t12)))) 42.78/43.33 (assume @p5 (forall @t30 (=> (and (not (exists @t29 @t28)) @t27 @t25) @t22))) 42.78/43.33 (assume @p6 (forall (@list @t6 @t8 @t32 @t1 @t17) (=> (and (tptp.happens @t6 @t13) (tptp.terminates @t6 @t32 @t13) (< 0 @t1) (not (tptp.startedIn @t13 @t32 @t31)) (tptp.antitrajectory @t32 @t13 @t17 @t1)) (tptp.holdsAt @t17 @t31)))) 42.78/43.33 (assume @p7 (forall @t23 (=> (and @t33 @t10) @t26))) 42.78/43.33 (assume @p8 @t37) 42.78/43.33 (assume @p9 @t39) 42.78/43.33 (assume @p10 @t45) 42.78/43.33 (assume @p11 @t53) 42.78/43.33 (assume @p12 (forall @t30 (=> (and (not (exists @t29 (and (or @t7 @t18) @t10))) @t46) @t26))) 42.78/43.33 (assume @p13 @t63) 42.78/43.33 (assume @p14 (not @t64)) 42.78/43.33 (assume @p15 (forall (@list @t2 @t66 @t65) (=> (and (tptp.holdsAt @t68 @t4) @t67) (= @t66 @t65)))) 42.78/43.33 (assume @p16 @t72) 42.78/43.33 (assume @p17 (not @t73)) 42.78/43.33 (assume @p18 @t77) 42.78/43.33 (assume @p19 (not @t78)) 42.78/43.33 (assume @p20 (not @t79)) 42.78/43.33 (assume @p21 (forall (@list @t74 @t80) (= (= @t74 @t80) (= @t75 (tptp.waterLevel @t80))))) 42.78/43.33 (assume @p22 (forall (@list @t66 @t2 @t65 @t15) (=> (and @t67 (= @t65 (+ @t66 @t15))) (tptp.trajectory tptp.filling @t4 @t68 @t15)))) 42.78/43.33 (assume @p23 @t81) 42.78/43.33 (assume @p24 @t91) 42.78/43.33 (assume @p25 (forall @t59 (not (tptp.releasedAt @t56 @t92)))) 42.78/43.33 (assume @p26 (not (tptp.releasedAt tptp.filling @t92))) 42.78/43.33 (assume @p27 (not (or @t95 @t94))) 42.78/43.33 (assume @p28 (not (tptp.holdsAt tptp.spilling @t92))) 42.78/43.33 (assume @p29 @t98) 42.78/43.33 (assume @p30 (tptp.holdsAt (tptp.waterLevel 0) @t92)) 42.78/43.33 (assume @p31 (not @t99)) 42.78/43.33 (assume @p32 (not @t100)) 42.78/43.33 (assume @p33 true) 42.78/43.33 (step @p34 :rule aci_norm :args ((= (or (or @t107 @t46) @t104) @t108))) 42.78/43.33 (step @p35 :rule refl :args (@t104)) 42.78/43.33 (step @p36 :rule bool-double-not-elim :args (@t46)) 42.78/43.33 (step @p37 :rule refl :args (@t107)) 42.78/43.33 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t107 (not @t47)))) 42.78/43.33 (step @p39 :rule bool-and-de-morgan :args (@t106 @t47 true)) 42.78/43.33 (step @p40 :rule trans :premises (@p39 @p38)) 42.78/43.33 (step @p41 :rule nary_cong :premises (@p40 @p35) :args ((or (not @t109) @t104))) 42.78/43.33 (step @p42 :rule trans :premises (@p41 @p34)) 42.78/43.33 (step @p43 :rule bool-impl-elim :args (@t109 @t104)) 42.78/43.33 (step @p44 :rule trans :premises (@p43 @p42)) 42.78/43.33 (step @p45 :rule cong :premises (@p44) :args ((forall @t30 (=> @t109 @t104)))) 42.78/43.33 (step @p46 :rule arith_poly_norm :args ((= @t19 @t101))) 42.78/43.33 (step @p47 :rule cong :premises (@p46) :args (@t20)) 42.78/43.33 (step @p48 :rule refl :args (@t5)) 42.78/43.33 (step @p49 :rule cong :premises (@p48 @p47) :args (@t26)) 42.78/43.33 (step @p50 :rule cong :premises (@p49) :args (@t27)) 42.78/43.33 (step @p51 :rule refl :args (@t47)) 42.78/43.33 (step @p52 :rule bool-double-not-elim :args (@t106)) 42.78/43.33 (step @p53 :rule bool-and-de-morgan :args (@t10 @t33 true)) 42.78/43.33 (step @p54 :rule cong :premises (@p53) :args (@t110)) 42.78/43.33 (step @p55 :rule cong :premises (@p54) :args (@t111)) 42.78/43.33 (step @p56 :rule exists-elim :args ((= @t49 @t111))) 42.78/43.33 (step @p57 :rule trans :premises (@p56 @p55)) 42.78/43.33 (step @p58 :rule cong :premises (@p57) :args (@t50)) 42.78/43.33 (step @p59 :rule trans :premises (@p58 @p52)) 42.78/43.33 (step @p60 :rule nary_cong :premises (@p59 @p51) :args (@t51)) 42.78/43.33 (step @p61 :rule cong :premises (@p60 @p50) :args (@t52)) 42.78/43.33 (step @p62 :rule cong :premises (@p61) :args (@t53)) 42.78/43.33 (step @p63 :rule trans :premises (@p62 @p45)) 42.78/43.33 (step @p64 :rule eq_resolve :premises (@p11 @p63)) 42.78/43.33 (step @p65 :rule evaluate :args (@t112)) 42.78/43.33 (step @p66 :rule cong :premises (@p65) :args (@t113)) 42.78/43.33 (step @p67 :rule refl :args (tptp.spilling)) 42.78/43.33 (step @p68 :rule cong :premises (@p67 @p66) :args (@t114)) 42.78/43.33 (step @p69 :rule cong :premises (@p68) :args (@t115)) 42.78/43.33 (step @p70 :rule refl :args (@t117)) 42.78/43.33 (step @p71 :rule refl :args (@t120)) 42.78/43.33 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69) :args (@t121)) 42.78/43.33 (step @p73 :rule refl :args (@t122)) 42.78/43.33 (step @p74 :rule cong :premises (@p73 @p72) :args ((=> @t122 @t121))) 42.78/43.33 (assume-push @p944 @t122) 42.78/43.33 (step @p76 :rule instantiate :premises (@p64) :args (@t123)) 42.78/43.33 (step-pop @p944 :rule scope :premises (@p76)) 42.78/43.33 (step @p77 :rule process_scope :premises (@p944) :args (@t121)) 42.78/43.33 (step @p79 :rule eq_resolve :premises (@p77 @p74)) 42.78/43.33 (step @p80 :rule implies_elim :premises (@p79)) 42.78/43.33 (step @p81 :rule chain_resolution :premises (@p80 @p64) :args (@t124 @t125)) 42.78/43.33 (step @p82 :rule aci_norm :args ((= (or (or @t129 @t103 @t25) @t126) @t130))) 42.78/43.33 (step @p83 :rule refl :args (@t126)) 42.78/43.33 (step @p84 :rule refl :args (@t25)) 42.78/43.33 (step @p85 :rule bool-double-not-elim :args (@t103)) 42.78/43.33 (step @p86 :rule refl :args (@t129)) 42.78/43.33 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84) :args (@t132)) 42.78/43.33 (step @p88 :rule aci_norm :args ((= (or @t129 (or @t131 @t25)) @t132))) 42.78/43.33 (step @p89 :rule trans :premises (@p88 @p87)) 42.78/43.33 (step @p90 :rule bool-and-de-morgan :args (@t104 @t24 true)) 42.78/43.33 (step @p91 :rule nary_cong :premises (@p86 @p90) :args ((or @t129 (not (and @t104 @t24))))) 42.78/43.33 (step @p92 :rule bool-and-de-morgan :args (@t128 @t104 (and @t24))) 42.78/43.33 (step @p93 :rule trans :premises (@p92 @p91)) 42.78/43.33 (step @p94 :rule trans :premises (@p93 @p89)) 42.78/43.33 (step @p95 :rule nary_cong :premises (@p94 @p83) :args ((or (not @t133) @t126))) 42.78/43.33 (step @p96 :rule trans :premises (@p95 @p82)) 42.78/43.33 (step @p97 :rule bool-impl-elim :args (@t133 @t126)) 42.78/43.33 (step @p98 :rule trans :premises (@p97 @p96)) 42.78/43.33 (step @p99 :rule cong :premises (@p98) :args ((forall @t30 (=> @t133 @t126)))) 42.78/43.33 (step @p100 :rule cong :premises (@p48 @p47) :args (@t21)) 42.78/43.33 (step @p101 :rule refl :args (@t24)) 42.78/43.33 (step @p102 :rule bool-double-not-elim :args (@t128)) 42.78/43.33 (step @p103 :rule bool-and-de-morgan :args (@t7 @t10 true)) 42.78/43.33 (step @p104 :rule cong :premises (@p103) :args (@t134)) 42.78/43.33 (step @p105 :rule cong :premises (@p104) :args (@t135)) 42.78/43.33 (step @p106 :rule exists-elim :args ((= @t41 @t135))) 42.78/43.33 (step @p107 :rule trans :premises (@p106 @p105)) 42.78/43.33 (step @p108 :rule cong :premises (@p107) :args (@t42)) 42.78/43.33 (step @p109 :rule trans :premises (@p108 @p102)) 42.78/43.33 (step @p110 :rule nary_cong :premises (@p109 @p50 @p101) :args (@t43)) 42.78/43.33 (step @p111 :rule cong :premises (@p110 @p100) :args (@t44)) 42.78/43.33 (step @p112 :rule cong :premises (@p111) :args (@t45)) 42.78/43.33 (step @p113 :rule trans :premises (@p112 @p99)) 42.78/43.33 (step @p114 :rule eq_resolve :premises (@p10 @p113)) 42.78/43.33 (step @p115 :rule cong :premises (@p67 @p66) :args (@t136)) 42.78/43.33 (step @p116 :rule refl :args (@t138)) 42.78/43.33 (step @p117 :rule refl :args (@t140)) 42.78/43.33 (step @p118 :rule nary_cong :premises (@p117 @p68 @p116 @p115) :args (@t141)) 42.78/43.33 (step @p119 :rule refl :args (@t142)) 42.78/43.33 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t142 @t141))) 42.78/43.33 (assume-push @p946 @t142) 42.78/43.33 (step @p122 :rule instantiate :premises (@p114) :args (@t123)) 42.78/43.33 (step-pop @p946 :rule scope :premises (@p122)) 42.78/43.33 (step @p123 :rule process_scope :premises (@p946) :args (@t141)) 42.78/43.33 (step @p125 :rule eq_resolve :premises (@p123 @p120)) 42.78/43.33 (step @p126 :rule implies_elim :premises (@p125)) 42.78/43.33 (step @p127 :rule chain_resolution :premises (@p126 @p114) :args (@t124 @t143)) 42.78/43.33 (step @p128 :rule eq-symm :args (@t144 tptp.tapOff)) 42.78/43.33 (step @p129 :rule refl :args (@t145)) 42.78/43.33 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t146)) 42.78/43.33 (step @p131 :rule eq-symm :args (@t144 tptp.overflow)) 42.78/43.33 (step @p132 :rule nary_cong :premises (@p129 @p131) :args (@t147)) 42.78/43.33 (step @p133 :rule nary_cong :premises (@p132 @p130) :args (@t148)) 42.78/43.33 (step @p134 :rule refl :args (@t149)) 42.78/43.33 (step @p135 :rule cong :premises (@p134 @p133) :args (@t150)) 42.78/43.33 (step @p136 :rule refl :args (@t72)) 42.78/43.33 (step @p137 :rule cong :premises (@p136 @p135) :args ((=> @t72 @t150))) 42.78/43.33 (assume-push @p948 @t72) 42.78/43.33 (step @p139 :rule instantiate :premises (@p16) :args ((@list @t144 tptp.spilling 2))) 42.78/43.33 (step-pop @p948 :rule scope :premises (@p139)) 42.78/43.33 (step @p140 :rule process_scope :premises (@p948) :args (@t150)) 42.78/43.33 (step @p142 :rule eq_resolve :premises (@p140 @p137)) 42.78/43.33 (step @p143 :rule implies_elim :premises (@p142)) 42.78/43.33 (step @p144 :rule chain_resolution :premises (@p143 @p16) :args (@t124 @t151)) 42.78/43.33 (step @p145 :rule symm :premises (@p17)) 42.78/43.33 (step @p146 :rule cnf_and_pos :args (@t152 0)) 42.78/43.33 (step @p147 :rule reordering :premises (@p146) :args ((or @t145 (not @t152)))) 42.78/43.33 (step @p148 :rule chain_resolution :premises (@p147 @p145) :args (@t153 @t154)) 42.78/43.33 (step @p149 :rule cnf_and_pos :args (@t155 0)) 42.78/43.33 (step @p150 :rule reordering :premises (@p149) :args ((or @t145 (not @t155)))) 42.78/43.33 (step @p151 :rule chain_resolution :premises (@p150 @p145) :args (@t153 @t154)) 42.78/43.33 (step @p152 :rule cnf_or_pos :args (@t156)) 42.78/43.33 (step @p153 :rule reordering :premises (@p152) :args ((or @t155 @t152 (not @t156)))) 42.78/43.33 (step @p154 :rule chain_resolution :premises (@p153 @p151 @p148) :args ((@list true true) (@list @t155 @t152))) 42.78/43.33 (step @p155 :rule cnf_equiv_pos1 :args (@t157)) 42.78/43.33 (step @p156 :rule reordering :premises (@p155) :args ((or @t158 @t156 (not @t157)))) 42.78/43.33 (step @p157 :rule chain_resolution :premises (@p156 @p154 @p144) :args (@t159 (@list @t156 @t157))) 42.78/43.33 (step @p158 :rule bool-double-not-elim :args (@t149)) 42.78/43.33 (step @p159 :rule refl :args (@t160)) 42.78/43.33 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or @t160 (not @t158)))) 42.78/43.33 (step @p161 :rule cnf_or_neg :args (@t160 0)) 42.78/43.33 (step @p162 :rule eq_resolve :premises (@p161 @p160)) 42.78/43.33 (step @p163 :rule reordering :premises (@p162) :args ((or @t149 @t160))) 42.78/43.33 (step @p164 :rule chain_resolution :premises (@p163 @p157) :args (@t153 (@list @t149))) 42.78/43.33 (step @p165 :rule refl :args (@t161)) 42.78/43.33 (step @p166 :rule bool-double-not-elim :args (@t139)) 42.78/43.33 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or (not @t140) @t161))) 42.78/43.33 (assume-push @p950 @t140) 42.78/43.33 (step @p169 :rule skolemize :premises (@p950)) 42.78/43.33 (step-pop @p950 :rule scope :premises (@p169)) 42.78/43.33 (step @p170 :rule process_scope :premises (@p950) :args (@t161)) 42.78/43.33 (step @p172 :rule implies_elim :premises (@p170)) 42.78/43.33 (step @p173 :rule eq_resolve :premises (@p172 @p167)) 42.78/43.33 (step @p174 :rule chain_resolution :premises (@p173 @p164) :args (@t124 (@list @t160))) 42.78/43.33 (step @p175 :rule aci_norm :args ((= (or (or @t105 @t162) @t126) @t163))) 42.78/43.33 (step @p176 :rule bool-and-de-morgan :args (@t10 @t18 true)) 42.78/43.33 (step @p177 :rule nary_cong :premises (@p176 @p83) :args ((or (not @t28) @t126))) 42.78/43.33 (step @p178 :rule trans :premises (@p177 @p175)) 42.78/43.33 (step @p179 :rule bool-impl-elim :args (@t28 @t126)) 42.78/43.33 (step @p180 :rule trans :premises (@p179 @p178)) 42.78/43.33 (step @p181 :rule cong :premises (@p180) :args ((forall @t23 (=> @t28 @t126)))) 42.78/43.33 (step @p182 :rule refl :args (@t28)) 42.78/43.33 (step @p183 :rule cong :premises (@p182 @p100) :args (@t38)) 42.78/43.33 (step @p184 :rule cong :premises (@p183) :args (@t39)) 42.78/43.33 (step @p185 :rule trans :premises (@p184 @p181)) 42.78/43.33 (step @p186 :rule eq_resolve :premises (@p9 @p185)) 42.78/43.33 (step @p187 :rule evaluate :args (@t164)) 42.78/43.33 (step @p188 :rule cong :premises (@p187) :args (@t165)) 42.78/43.33 (step @p189 :rule cong :premises (@p67 @p188) :args (@t166)) 42.78/43.33 (step @p190 :rule refl :args (@t169)) 42.78/43.33 (step @p191 :rule refl :args (@t171)) 42.78/43.33 (step @p192 :rule nary_cong :premises (@p191 @p190 @p189) :args (@t172)) 42.78/43.33 (step @p193 :rule refl :args (@t173)) 42.78/43.33 (step @p194 :rule cong :premises (@p193 @p192) :args ((=> @t173 @t172))) 42.78/43.33 (assume-push @p952 @t173) 42.78/43.33 (step @p196 :rule instantiate :premises (@p186) :args ((@list tptp.overflow 1 tptp.spilling))) 42.78/43.33 (step-pop @p952 :rule scope :premises (@p196)) 42.78/43.33 (step @p197 :rule process_scope :premises (@p952) :args (@t172)) 42.78/43.33 (step @p199 :rule eq_resolve :premises (@p197 @p194)) 42.78/43.33 (step @p200 :rule implies_elim :premises (@p199)) 42.78/43.33 (step @p201 :rule chain_resolution :premises (@p200 @p186) :args (@t124 @t174)) 42.78/43.33 (step @p202 :rule refl :args (@t82)) 42.78/43.33 (step @p203 :rule refl :args (@t83)) 42.78/43.33 (step @p204 :rule refl :args (@t179)) 42.78/43.33 (step @p205 :rule bool-double-not-elim :args (@t71)) 42.78/43.33 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((and (not @t180) @t179))) 42.78/43.33 (step @p207 :rule bool-or-de-morgan :args (@t180 @t178 false)) 42.78/43.33 (step @p208 :rule trans :premises (@p207 @p206)) 42.78/43.33 (step @p209 :rule refl :args (@t183)) 42.78/43.33 (step @p210 :rule bool-double-not-elim :args (@t69)) 42.78/43.33 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((and (not @t184) @t183))) 42.78/43.33 (step @p212 :rule bool-or-de-morgan :args (@t184 @t182 false)) 42.78/43.33 (step @p213 :rule trans :premises (@p212 @p211)) 42.78/43.33 (step @p214 :rule nary_cong :premises (@p213 @p208 @p203 @p202) :args (@t187)) 42.78/43.33 (step @p215 :rule refl :args (@t18)) 42.78/43.33 (step @p216 :rule cong :premises (@p215 @p214) :args (@t188)) 42.78/43.33 (step @p217 :rule cong :premises (@p216) :args ((forall @t62 @t188))) 42.78/43.33 (step @p218 :rule refl :args (@t82)) 42.78/43.33 (step @p219 :rule refl :args (@t83)) 42.78/43.33 (step @p220 :rule quant-miniscope-or :args ((= (forall @t59 @t189) @t185))) 42.78/43.33 (step @p221 :rule aci_norm :args ((= @t190 @t189))) 42.78/43.33 (step @p222 :rule cong :premises (@p221) :args ((forall @t59 @t190))) 42.78/43.33 (step @p223 :rule trans :premises (@p222 @p220)) 42.78/43.33 (step @p224 :rule aci_norm :args ((= (or @t176 (or @t180 @t175)) @t190))) 42.78/43.33 (step @p225 :rule bool-and-de-morgan :args (@t71 @t84 true)) 42.78/43.33 (step @p226 :rule refl :args (@t176)) 42.78/43.33 (step @p227 :rule nary_cong :premises (@p226 @p225) :args ((or @t176 (not (and @t71 @t84))))) 42.78/43.33 (step @p228 :rule bool-and-de-morgan :args (@t57 @t71 (and @t84))) 42.78/43.33 (step @p229 :rule trans :premises (@p228 @p227)) 42.78/43.33 (step @p230 :rule trans :premises (@p229 @p224)) 42.78/43.33 (step @p231 :rule cong :premises (@p230) :args (@t191)) 42.78/43.33 (step @p232 :rule trans :premises (@p231 @p223)) 42.78/43.33 (step @p233 :rule cong :premises (@p232) :args (@t192)) 42.78/43.33 (step @p234 :rule exists-elim :args ((= @t86 @t192))) 42.78/43.33 (step @p235 :rule trans :premises (@p234 @p233)) 42.78/43.33 (step @p236 :rule quant-miniscope-or :args ((= (forall @t59 @t193) @t186))) 42.78/43.33 (step @p237 :rule aci_norm :args ((= @t194 @t193))) 42.78/43.33 (step @p238 :rule cong :premises (@p237) :args ((forall @t59 @t194))) 42.78/43.33 (step @p239 :rule trans :premises (@p238 @p236)) 42.78/43.33 (step @p240 :rule aci_norm :args ((= (or @t175 (or @t184 @t176)) @t194))) 42.78/43.33 (step @p241 :rule bool-and-de-morgan :args (@t69 @t57 true)) 42.78/43.33 (step @p242 :rule refl :args (@t175)) 42.78/43.33 (step @p243 :rule nary_cong :premises (@p242 @p241) :args ((or @t175 (not (and @t69 @t57))))) 42.78/43.33 (step @p244 :rule bool-and-de-morgan :args (@t84 @t69 (and @t57))) 42.78/43.33 (step @p245 :rule trans :premises (@p244 @p243)) 42.78/43.33 (step @p246 :rule trans :premises (@p245 @p240)) 42.78/43.33 (step @p247 :rule cong :premises (@p246) :args (@t195)) 42.78/43.33 (step @p248 :rule trans :premises (@p247 @p239)) 42.78/43.33 (step @p249 :rule cong :premises (@p248) :args (@t196)) 42.78/43.33 (step @p250 :rule exists-elim :args ((= @t88 @t196))) 42.78/43.33 (step @p251 :rule trans :premises (@p250 @p249)) 42.78/43.33 (step @p252 :rule nary_cong :premises (@p251 @p235 @p219 @p218) :args (@t89)) 42.78/43.33 (step @p253 :rule refl :args (@t18)) 42.78/43.33 (step @p254 :rule cong :premises (@p253 @p252) :args (@t90)) 42.78/43.33 (step @p255 :rule cong :premises (@p254) :args (@t91)) 42.78/43.33 (step @p256 :rule trans :premises (@p255 @p217)) 42.78/43.33 (step @p257 :rule eq_resolve :premises (@p24 @p256)) 42.78/43.33 (step @p258 :rule bool-eq-true :args (@t168)) 42.78/43.33 (step @p259 :rule absorb :args ((= (or (and @t64 @t201) @t200 true @t197) true))) 42.78/43.33 (step @p260 :rule eq-symm :args (tptp.overflow tptp.tapOn)) 42.78/43.33 (step @p261 :rule nary_cong :premises (@p260 @p129) :args (@t202)) 42.78/43.33 (step @p262 :rule evaluate :args ((and true true))) 42.78/43.33 (step @p263 :rule eq-refl :args (tptp.overflow)) 42.78/43.33 (step @p264 :rule eq-refl :args (tptp.spilling)) 42.78/43.33 (step @p265 :rule nary_cong :premises (@p264 @p263) :args (@t204)) 42.78/43.33 (step @p266 :rule trans :premises (@p265 @p262)) 42.78/43.33 (step @p267 :rule aci_norm :args ((= (and true @t200) @t200))) 42.78/43.33 (step @p268 :rule refl :args (@t200)) 42.78/43.33 (step @p269 :rule nary_cong :premises (@p263 @p268) :args (@t205)) 42.78/43.33 (step @p270 :rule trans :premises (@p269 @p267)) 42.78/43.33 (step @p271 :rule refl :args (@t201)) 42.78/43.33 (step @p272 :rule eq-symm :args (tptp.overflow tptp.tapOff)) 42.78/43.33 (step @p273 :rule nary_cong :premises (@p272 @p271) :args (@t207)) 42.78/43.33 (step @p274 :rule nary_cong :premises (@p273 @p270 @p266 @p261) :args (@t208)) 42.78/43.33 (step @p275 :rule trans :premises (@p274 @p259)) 42.78/43.33 (step @p276 :rule refl :args (@t168)) 42.78/43.33 (step @p277 :rule cong :premises (@p276 @p275) :args (@t209)) 42.78/43.33 (step @p278 :rule trans :premises (@p277 @p258)) 42.78/43.33 (step @p279 :rule refl :args (@t210)) 42.78/43.33 (step @p280 :rule cong :premises (@p279 @p278) :args ((=> @t210 @t209))) 42.78/43.33 (assume-push @p954 @t210) 42.78/43.33 (step @p282 :rule instantiate :premises (@p257) :args ((@list tptp.overflow tptp.spilling 1))) 42.78/43.33 (step-pop @p954 :rule scope :premises (@p282)) 42.78/43.33 (step @p283 :rule process_scope :premises (@p954) :args (@t209)) 42.78/43.33 (step @p285 :rule eq_resolve :premises (@p283 @p280)) 42.78/43.33 (step @p286 :rule implies_elim :premises (@p285)) 42.78/43.33 (step @p287 :rule chain_resolution :premises (@p286 @p257) :args (@t124 @t211)) 42.78/43.33 (step @p288 :rule refl :args (tptp.filling)) 42.78/43.33 (step @p289 :rule cong :premises (@p288 @p188) :args (@t212)) 42.78/43.33 (step @p290 :rule refl :args (@t214)) 42.78/43.33 (step @p291 :rule cong :premises (@p288 @p188) :args (@t215)) 42.78/43.33 (step @p292 :rule refl :args (@t218)) 42.78/43.33 (step @p293 :rule nary_cong :premises (@p292 @p291 @p290 @p289) :args (@t219)) 42.78/43.33 (step @p294 :rule cong :premises (@p119 @p293) :args ((=> @t142 @t219))) 42.78/43.33 (assume-push @p956 @t142) 42.78/43.33 (step @p296 :rule instantiate :premises (@p114) :args (@t220)) 42.78/43.33 (step-pop @p956 :rule scope :premises (@p296)) 42.78/43.33 (step @p297 :rule process_scope :premises (@p956) :args (@t219)) 42.78/43.33 (step @p299 :rule eq_resolve :premises (@p297 @p294)) 42.78/43.33 (step @p300 :rule implies_elim :premises (@p299)) 42.78/43.33 (step @p301 :rule chain_resolution :premises (@p300 @p114) :args (@t124 @t143)) 42.78/43.33 (step @p302 :rule cong :premises (@p288 @p66) :args (@t221)) 42.78/43.33 (step @p303 :rule refl :args (@t223)) 42.78/43.33 (step @p304 :rule cong :premises (@p288 @p66) :args (@t224)) 42.78/43.33 (step @p305 :rule refl :args (@t226)) 42.78/43.33 (step @p306 :rule nary_cong :premises (@p305 @p304 @p303 @p302) :args (@t227)) 42.78/43.33 (step @p307 :rule cong :premises (@p119 @p306) :args ((=> @t142 @t227))) 42.78/43.33 (assume-push @p958 @t142) 42.78/43.33 (step @p309 :rule instantiate :premises (@p114) :args (@t228)) 42.78/43.33 (step-pop @p958 :rule scope :premises (@p309)) 42.78/43.33 (step @p310 :rule process_scope :premises (@p958) :args (@t227)) 42.78/43.33 (step @p312 :rule eq_resolve :premises (@p310 @p307)) 42.78/43.33 (step @p313 :rule implies_elim :premises (@p312)) 42.78/43.33 (step @p314 :rule chain_resolution :premises (@p313 @p114) :args (@t124 @t143)) 42.78/43.33 (step @p315 :rule bool-double-not-elim :args (@t230)) 42.78/43.33 (step @p316 :rule refl :args (@t234)) 42.78/43.33 (step @p317 :rule nary_cong :premises (@p316 @p315) :args ((or @t234 (not @t231)))) 42.78/43.33 (step @p318 :rule cnf_or_neg :args (@t234 1)) 42.78/43.33 (step @p319 :rule eq_resolve :premises (@p318 @p317)) 42.78/43.33 (step @p320 :rule reordering :premises (@p319) :args ((or @t230 @t234))) 42.78/43.33 (step @p321 :rule bool-double-not-elim :args (@t232)) 42.78/43.33 (step @p322 :rule nary_cong :premises (@p316 @p321) :args ((or @t234 (not @t233)))) 42.78/43.33 (step @p323 :rule cnf_or_neg :args (@t234 0)) 42.78/43.33 (step @p324 :rule eq_resolve :premises (@p323 @p322)) 42.78/43.33 (step @p325 :rule reordering :premises (@p324) :args ((or @t232 @t234))) 42.78/43.33 (step @p326 :rule aci_norm :args ((= (and true @t235) @t235))) 42.78/43.33 (step @p327 :rule eq-symm :args (@t229 tptp.tapOff)) 42.78/43.33 (step @p328 :rule eq-refl :args (tptp.filling)) 42.78/43.33 (step @p329 :rule nary_cong :premises (@p328 @p327) :args (@t237)) 42.78/43.33 (step @p330 :rule trans :premises (@p329 @p326)) 42.78/43.33 (step @p331 :rule aci_norm :args ((= (and true @t238) @t238))) 42.78/43.33 (step @p332 :rule eq-symm :args (@t229 tptp.overflow)) 42.78/43.33 (step @p333 :rule nary_cong :premises (@p328 @p332) :args (@t239)) 42.78/43.33 (step @p334 :rule trans :premises (@p333 @p331)) 42.78/43.33 (step @p335 :rule nary_cong :premises (@p334 @p330) :args (@t240)) 42.78/43.33 (step @p336 :rule refl :args (@t232)) 42.78/43.33 (step @p337 :rule cong :premises (@p336 @p335) :args (@t241)) 42.78/43.33 (step @p338 :rule cong :premises (@p136 @p337) :args ((=> @t72 @t241))) 42.78/43.33 (assume-push @p960 @t72) 42.78/43.33 (step @p340 :rule instantiate :premises (@p16) :args ((@list @t229 tptp.filling 2))) 42.78/43.33 (step-pop @p960 :rule scope :premises (@p340)) 42.78/43.33 (step @p341 :rule process_scope :premises (@p960) :args (@t241)) 42.78/43.33 (step @p343 :rule eq_resolve :premises (@p341 @p338)) 42.78/43.33 (step @p344 :rule implies_elim :premises (@p343)) 42.78/43.33 (step @p345 :rule chain_resolution :premises (@p344 @p16) :args (@t124 @t151)) 42.78/43.33 (step @p346 :rule cnf_equiv_pos1 :args (@t243)) 42.78/43.33 (step @p347 :rule reordering :premises (@p346) :args ((or @t233 @t242 (not @t243)))) 42.78/43.33 (step @p348 :rule refl :args (@t245)) 42.78/43.33 (step @p349 :rule refl :args (@t247)) 42.78/43.33 (step @p350 :rule nary_cong :premises (@p349 @p348 @p115) :args (@t248)) 42.78/43.33 (step @p351 :rule cong :premises (@p193 @p350) :args ((=> @t173 @t248))) 42.78/43.33 (assume-push @p962 @t173) 42.78/43.33 (step @p353 :rule instantiate :premises (@p186) :args ((@list tptp.overflow 2 tptp.spilling))) 42.78/43.33 (step-pop @p962 :rule scope :premises (@p353)) 42.78/43.33 (step @p354 :rule process_scope :premises (@p962) :args (@t248)) 42.78/43.33 (step @p356 :rule eq_resolve :premises (@p354 @p351)) 42.78/43.33 (step @p357 :rule implies_elim :premises (@p356)) 42.78/43.33 (step @p358 :rule chain_resolution :premises (@p357 @p186) :args (@t124 @t174)) 42.78/43.33 (step @p359 :rule bool-eq-true :args (@t244)) 42.78/43.33 (step @p360 :rule absorb :args ((= (or (and @t64 @t251) @t250 true @t197) true))) 42.78/43.33 (step @p361 :rule aci_norm :args ((= (and true @t250) @t250))) 42.78/43.33 (step @p362 :rule refl :args (@t250)) 42.78/43.33 (step @p363 :rule nary_cong :premises (@p263 @p362) :args (@t252)) 42.78/43.33 (step @p364 :rule trans :premises (@p363 @p361)) 42.78/43.33 (step @p365 :rule refl :args (@t251)) 42.78/43.33 (step @p366 :rule nary_cong :premises (@p272 @p365) :args (@t253)) 42.78/43.33 (step @p367 :rule nary_cong :premises (@p366 @p364 @p266 @p261) :args (@t254)) 42.78/43.33 (step @p368 :rule trans :premises (@p367 @p360)) 42.78/43.33 (step @p369 :rule refl :args (@t244)) 42.78/43.33 (step @p370 :rule cong :premises (@p369 @p368) :args (@t255)) 42.78/43.33 (step @p371 :rule trans :premises (@p370 @p359)) 42.78/43.33 (step @p372 :rule cong :premises (@p279 @p371) :args ((=> @t210 @t255))) 42.78/43.33 (assume-push @p964 @t210) 42.78/43.33 (step @p374 :rule instantiate :premises (@p257) :args ((@list tptp.overflow tptp.spilling 2))) 42.78/43.33 (step-pop @p964 :rule scope :premises (@p374)) 42.78/43.33 (step @p375 :rule process_scope :premises (@p964) :args (@t255)) 42.78/43.33 (step @p377 :rule eq_resolve :premises (@p375 @p372)) 42.78/43.33 (step @p378 :rule implies_elim :premises (@p377)) 42.78/43.33 (step @p379 :rule chain_resolution :premises (@p378 @p257) :args (@t124 @t211)) 42.78/43.33 (step @p380 :rule not_or_elim :premises (@p27) :args (0)) 42.78/43.33 (step @p381 :rule cnf_or_pos :args (@t256)) 42.78/43.33 (step @p382 :rule reordering :premises (@p381) :args ((or @t95 @t247 @t245 (not @t256)))) 42.78/43.33 (step @p383 :rule chain_resolution :premises (@p382 @p380 @p379 @p358) :args (@t257 (@list @t95 @t244 @t256))) 42.78/43.33 (step @p384 :rule bool-double-not-elim :args (@t246)) 42.78/43.33 (step @p385 :rule refl :args (@t258)) 42.78/43.33 (step @p386 :rule refl :args (@t231)) 42.78/43.33 (step @p387 :rule nary_cong :premises (@p386 @p385 @p384) :args ((or @t231 @t258 (not @t247)))) 42.78/43.33 (assume-push @p966 @t247) 42.78/43.33 (assume-push @p967 @t238) 42.78/43.33 (assume-push @p968 @t230) 42.78/43.33 (step @p391 :rule evaluate :args (@t259)) 42.78/43.33 (step @p392 :rule false_intro :premises (@p383)) 42.78/43.33 (step @p393 :rule refl :args (@t116)) 42.78/43.33 (step @p394 :rule symm :premises (@p967)) 42.78/43.33 (step @p395 :rule cong :premises (@p394 @p393) :args (@t230)) 42.78/43.33 (step @p396 :rule true_intro :premises (@p968)) 42.78/43.33 (step @p397 :rule symm :premises (@p396)) 42.78/43.33 (step @p398 :rule trans :premises (@p397 @p395 @p392)) 42.78/43.33 (step @p399 false :rule eq_resolve :premises (@p398 @p391)) 42.78/43.33 (step-pop @p968 :rule scope :premises (@p399)) 42.78/43.33 (step-pop @p969 :rule scope :premises (@p968)) 42.78/43.33 (step-pop @p970 :rule scope :premises (@p969)) 42.78/43.33 (step @p400 :rule process_scope :premises (@p970) :args (false)) 42.78/43.33 (assume-push @p972 @t230) 42.78/43.33 (assume-push @p973 @t238) 42.78/43.33 (assume-push @p974 @t247) 42.78/43.33 (step @p407 :rule and_intro :premises (@p383 @p973 @p972)) 42.78/43.33 (step-pop @p974 :rule scope :premises (@p407)) 42.78/43.33 (step-pop @p975 :rule scope :premises (@p974)) 42.78/43.33 (step-pop @p976 :rule scope :premises (@p975)) 42.78/43.33 (step @p408 :rule process_scope :premises (@p976) :args (@t260)) 42.78/43.33 (step @p412 :rule implies_elim :premises (@p408)) 42.78/43.33 (step @p413 :rule resolution :premises (@p412 @p400) :args (true @t260)) 42.78/43.33 (step @p414 :rule not_and :premises (@p413)) 42.78/43.33 (step @p415 :rule eq_resolve :premises (@p414 @p387)) 42.78/43.33 (step @p416 :rule cnf_or_pos :args (@t242)) 42.78/43.33 (step @p417 :rule reordering :premises (@p416) :args ((or @t238 @t235 (not @t242)))) 42.78/43.33 (step @p418 :rule eq-symm :args (@t97 @t10)) 42.78/43.33 (step @p419 :rule cong :premises (@p418) :args (@t98)) 42.78/43.33 (step @p420 :rule eq_resolve :premises (@p29 @p419)) 42.78/43.33 (step @p421 :rule aci_norm :args ((= (or false @t262) @t262))) 42.78/43.33 (step @p422 :rule refl :args (@t262)) 42.78/43.33 (step @p423 :rule absorb :args ((= (and @t78 false) false))) 42.78/43.33 (step @p424 :rule evaluate :args (@t263)) 42.78/43.33 (step @p425 :rule eq-symm :args (tptp.tapOff tptp.tapOn)) 42.78/43.33 (step @p426 :rule nary_cong :premises (@p425 @p424) :args (@t264)) 42.78/43.33 (step @p427 :rule trans :premises (@p426 @p423)) 42.78/43.33 (step @p428 :rule nary_cong :premises (@p427 @p422) :args (@t265)) 42.78/43.33 (step @p429 :rule trans :premises (@p428 @p421)) 42.78/43.33 (step @p430 :rule refl :args (@t266)) 42.78/43.33 (step @p431 :rule cong :premises (@p430 @p429) :args (@t267)) 42.78/43.33 (step @p432 :rule refl :args (@t268)) 42.78/43.33 (step @p433 :rule cong :premises (@p432 @p431) :args ((=> @t268 @t267))) 42.78/43.33 (assume-push @p978 @t268) 42.78/43.33 (step @p435 :rule instantiate :premises (@p420) :args ((@list tptp.tapOff 2))) 42.78/43.33 (step-pop @p978 :rule scope :premises (@p435)) 42.78/43.33 (step @p436 :rule process_scope :premises (@p978) :args (@t267)) 42.78/43.33 (step @p438 :rule eq_resolve :premises (@p436 @p433)) 42.78/43.33 (step @p439 :rule implies_elim :premises (@p438)) 42.78/43.33 (step @p440 :rule chain_resolution :premises (@p439 @p420) :args (@t124 @t269)) 42.78/43.33 (step @p441 :rule cnf_and_pos :args (@t262 1)) 42.78/43.33 (step @p442 :rule reordering :premises (@p441) :args ((or @t64 (not @t262)))) 42.78/43.33 (step @p443 :rule chain_resolution :premises (@p442 @p14) :args (@t153 (@list @t64))) 42.78/43.33 (step @p444 :rule cnf_equiv_pos1 :args (@t270)) 42.78/43.33 (step @p445 :rule reordering :premises (@p444) :args ((or @t271 @t262 (not @t270)))) 42.78/43.33 (step @p446 :rule chain_resolution :premises (@p445 @p443 @p440) :args (@t159 (@list @t262 @t270))) 42.78/43.33 (step @p447 :rule bool-double-not-elim :args (@t266)) 42.78/43.33 (step @p448 :rule refl :args (@t272)) 42.78/43.33 (step @p449 :rule nary_cong :premises (@p386 @p448 @p447) :args ((or @t231 @t272 (not @t271)))) 42.78/43.33 (assume-push @p980 @t271) 42.78/43.33 (assume-push @p981 @t235) 42.78/43.33 (assume-push @p982 @t230) 42.78/43.33 (step @p391 :rule evaluate :args (@t259)) 42.78/43.33 (step @p453 :rule false_intro :premises (@p446)) 42.78/43.33 (step @p393 :rule refl :args (@t116)) 42.78/43.33 (step @p454 :rule symm :premises (@p981)) 42.78/43.33 (step @p455 :rule cong :premises (@p454 @p393) :args (@t230)) 42.78/43.33 (step @p456 :rule true_intro :premises (@p982)) 42.78/43.33 (step @p457 :rule symm :premises (@p456)) 42.78/43.33 (step @p458 :rule trans :premises (@p457 @p455 @p453)) 42.78/43.33 (step @p459 false :rule eq_resolve :premises (@p458 @p391)) 42.78/43.33 (step-pop @p982 :rule scope :premises (@p459)) 42.78/43.33 (step-pop @p983 :rule scope :premises (@p982)) 42.78/43.33 (step-pop @p984 :rule scope :premises (@p983)) 42.78/43.33 (step @p460 :rule process_scope :premises (@p984) :args (false)) 42.78/43.33 (assume-push @p986 @t230) 42.78/43.33 (assume-push @p987 @t235) 42.78/43.33 (assume-push @p988 @t271) 42.78/43.33 (step @p467 :rule and_intro :premises (@p446 @p987 @p986)) 42.78/43.33 (step-pop @p988 :rule scope :premises (@p467)) 42.78/43.33 (step-pop @p989 :rule scope :premises (@p988)) 42.78/43.33 (step-pop @p990 :rule scope :premises (@p989)) 42.78/43.33 (step @p468 :rule process_scope :premises (@p990) :args (@t273)) 42.78/43.33 (step @p472 :rule implies_elim :premises (@p468)) 42.78/43.33 (step @p473 :rule resolution :premises (@p472 @p460) :args (true @t273)) 42.78/43.33 (step @p474 :rule not_and :premises (@p473)) 42.78/43.33 (step @p475 :rule eq_resolve :premises (@p474 @p449)) 42.78/43.33 (step @p476 :rule chain_resolution :premises (@p475 @p446 @p417 @p415 @p383 @p347 @p345 @p325) :args ((@list true false true true false false false) (@list @t266 @t235 @t238 @t246 @t242 @t243 @t232))) 42.78/43.33 (step @p477 :rule factoring :premises (@p476)) 42.78/43.33 (step @p478 :rule chain_resolution :premises (@p477 @p320) :args (@t124 (@list @t230))) 42.78/43.33 (step @p479 :rule factoring :premises (@p478)) 42.78/43.33 (step @p480 :rule refl :args (@t274)) 42.78/43.33 (step @p481 :rule bool-double-not-elim :args (@t225)) 42.78/43.33 (step @p482 :rule nary_cong :premises (@p481 @p480) :args ((or (not @t226) @t274))) 42.78/43.33 (assume-push @p992 @t226) 42.78/43.33 (step @p484 :rule skolemize :premises (@p992)) 42.78/43.33 (step-pop @p992 :rule scope :premises (@p484)) 42.78/43.33 (step @p485 :rule process_scope :premises (@p992) :args (@t274)) 42.78/43.33 (step @p487 :rule implies_elim :premises (@p485)) 42.78/43.33 (step @p488 :rule eq_resolve :premises (@p487 @p482)) 42.78/43.33 (step @p489 :rule chain_resolution :premises (@p488 @p479) :args (@t124 (@list @t234))) 42.78/43.33 (step @p490 :rule cong :premises (@p304) :args (@t275)) 42.78/43.33 (step @p491 :rule refl :args (@t276)) 42.78/43.33 (step @p492 :rule refl :args (@t278)) 42.78/43.33 (step @p493 :rule nary_cong :premises (@p492 @p491 @p490) :args (@t279)) 42.78/43.33 (step @p494 :rule cong :premises (@p73 @p493) :args ((=> @t122 @t279))) 42.78/43.33 (assume-push @p994 @t122) 42.78/43.33 (step @p496 :rule instantiate :premises (@p64) :args (@t228)) 42.78/43.33 (step-pop @p994 :rule scope :premises (@p496)) 42.78/43.33 (step @p497 :rule process_scope :premises (@p994) :args (@t279)) 42.78/43.33 (step @p499 :rule eq_resolve :premises (@p497 @p494)) 42.78/43.33 (step @p500 :rule implies_elim :premises (@p499)) 42.78/43.33 (step @p501 :rule chain_resolution :premises (@p500 @p64) :args (@t124 @t125)) 42.78/43.33 (step @p502 :rule refl :args (@t281)) 42.78/43.33 (step @p503 :rule bool-double-not-elim :args (@t54)) 42.78/43.33 (step @p504 :rule nary_cong :premises (@p503 @p502) :args ((and (not @t282) @t281))) 42.78/43.33 (step @p505 :rule bool-or-de-morgan :args (@t282 @t280 false)) 42.78/43.33 (step @p506 :rule trans :premises (@p505 @p504)) 42.78/43.33 (step @p507 :rule refl :args (@t33)) 42.78/43.33 (step @p508 :rule cong :premises (@p507 @p506) :args (@t284)) 42.78/43.33 (step @p509 :rule cong :premises (@p508) :args ((forall @t62 @t284))) 42.78/43.33 (step @p510 :rule quant-miniscope-or :args ((= (forall @t59 @t285) @t283))) 42.78/43.33 (step @p511 :rule aci_norm :args ((= @t286 @t285))) 42.78/43.33 (step @p512 :rule cong :premises (@p511) :args ((forall @t59 @t286))) 42.78/43.33 (step @p513 :rule trans :premises (@p512 @p510)) 42.78/43.33 (step @p514 :rule bool-and-de-morgan :args (@t57 @t54 true)) 42.78/43.33 (step @p515 :rule cong :premises (@p514) :args (@t287)) 42.78/43.33 (step @p516 :rule trans :premises (@p515 @p513)) 42.78/43.33 (step @p517 :rule cong :premises (@p516) :args (@t288)) 42.78/43.33 (step @p518 :rule exists-elim :args ((= @t60 @t288))) 42.78/43.33 (step @p519 :rule trans :premises (@p518 @p517)) 42.78/43.33 (step @p520 :rule refl :args (@t33)) 42.78/43.33 (step @p521 :rule cong :premises (@p520 @p519) :args (@t61)) 42.78/43.33 (step @p522 :rule cong :premises (@p521) :args (@t63)) 42.78/43.33 (step @p523 :rule trans :premises (@p522 @p509)) 42.78/43.33 (step @p524 :rule eq_resolve :premises (@p13 @p523)) 42.78/43.33 (step @p525 :rule refl :args (@t291)) 42.78/43.33 (step @p526 :rule eq-symm :args (@t292 tptp.tapOn)) 42.78/43.33 (step @p527 :rule nary_cong :premises (@p526 @p525) :args (@t293)) 42.78/43.33 (step @p528 :rule refl :args (@t294)) 42.78/43.33 (step @p529 :rule cong :premises (@p528 @p527) :args (@t295)) 42.78/43.33 (step @p530 :rule refl :args (@t296)) 42.78/43.33 (step @p531 :rule cong :premises (@p530 @p529) :args ((=> @t296 @t295))) 42.78/43.33 (assume-push @p996 @t296) 42.78/43.33 (step @p533 :rule instantiate :premises (@p524) :args ((@list @t292 tptp.filling 2))) 42.78/43.33 (step-pop @p996 :rule scope :premises (@p533)) 42.78/43.33 (step @p534 :rule process_scope :premises (@p996) :args (@t295)) 42.78/43.33 (step @p536 :rule eq_resolve :premises (@p534 @p531)) 42.78/43.33 (step @p537 :rule implies_elim :premises (@p536)) 42.78/43.33 (step @p538 :rule chain_resolution :premises (@p537 @p524) :args (@t124 @t297)) 42.78/43.33 (step @p539 :rule alpha_equiv :args (@t77 @t298 @t299)) 42.78/43.33 (step @p540 :rule equiv_elim1 :premises (@p539)) 42.78/43.33 (step @p541 :rule chain_resolution :premises (@p540 @p18) :args (@t124 (@list @t77))) 42.78/43.33 (step @p542 :rule cnf_and_pos :args (@t300 1)) 42.78/43.33 (step @p543 :rule reordering :premises (@p542) :args ((or @t291 (not @t300)))) 42.78/43.33 (step @p544 :rule chain_resolution :premises (@p543 @p541) :args (@t124 @t301)) 42.78/43.33 (step @p545 :rule cnf_equiv_pos1 :args (@t302)) 42.78/43.33 (step @p546 :rule reordering :premises (@p545) :args ((or @t303 @t300 (not @t302)))) 42.78/43.33 (step @p547 :rule chain_resolution :premises (@p546 @p544 @p538) :args (@t159 (@list @t300 @t302))) 42.78/43.33 (step @p548 :rule bool-double-not-elim :args (@t294)) 42.78/43.33 (step @p549 :rule refl :args (@t304)) 42.78/43.33 (step @p550 :rule nary_cong :premises (@p549 @p548) :args ((or @t304 (not @t303)))) 42.78/43.33 (step @p551 :rule cnf_or_neg :args (@t304 1)) 42.78/43.33 (step @p552 :rule eq_resolve :premises (@p551 @p550)) 42.78/43.33 (step @p553 :rule reordering :premises (@p552) :args ((or @t294 @t304))) 42.78/43.33 (step @p554 :rule chain_resolution :premises (@p553 @p547) :args (@t153 (@list @t294))) 42.78/43.33 (step @p555 :rule refl :args (@t305)) 42.78/43.33 (step @p556 :rule bool-double-not-elim :args (@t277)) 42.78/43.33 (step @p557 :rule nary_cong :premises (@p556 @p555) :args ((or (not @t278) @t305))) 42.78/43.33 (assume-push @p998 @t278) 42.78/43.33 (step @p559 :rule skolemize :premises (@p998)) 42.78/43.33 (step-pop @p998 :rule scope :premises (@p559)) 42.78/43.33 (step @p560 :rule process_scope :premises (@p998) :args (@t305)) 42.78/43.33 (step @p562 :rule implies_elim :premises (@p560)) 42.78/43.33 (step @p563 :rule eq_resolve :premises (@p562 @p557)) 42.78/43.33 (step @p564 :rule chain_resolution :premises (@p563 @p554) :args (@t124 (@list @t304))) 42.78/43.33 (step @p565 :rule cong :premises (@p291) :args (@t306)) 42.78/43.33 (step @p566 :rule refl :args (@t307)) 42.78/43.33 (step @p567 :rule refl :args (@t309)) 42.78/43.33 (step @p568 :rule nary_cong :premises (@p567 @p566 @p565) :args (@t310)) 42.78/43.33 (step @p569 :rule cong :premises (@p73 @p568) :args ((=> @t122 @t310))) 42.78/43.33 (assume-push @p1000 @t122) 42.78/43.33 (step @p571 :rule instantiate :premises (@p64) :args (@t220)) 42.78/43.33 (step-pop @p1000 :rule scope :premises (@p571)) 42.78/43.33 (step @p572 :rule process_scope :premises (@p1000) :args (@t310)) 42.78/43.33 (step @p574 :rule eq_resolve :premises (@p572 @p569)) 42.78/43.33 (step @p575 :rule implies_elim :premises (@p574)) 42.78/43.33 (step @p576 :rule chain_resolution :premises (@p575 @p64) :args (@t124 @t125)) 42.78/43.33 (step @p577 :rule eq-symm :args (@t311 tptp.tapOn)) 42.78/43.33 (step @p578 :rule nary_cong :premises (@p577 @p525) :args (@t312)) 42.78/43.33 (step @p579 :rule refl :args (@t313)) 42.78/43.33 (step @p580 :rule cong :premises (@p579 @p578) :args (@t314)) 42.78/43.33 (step @p581 :rule cong :premises (@p530 @p580) :args ((=> @t296 @t314))) 42.78/43.33 (assume-push @p1002 @t296) 42.78/43.33 (step @p583 :rule instantiate :premises (@p524) :args ((@list @t311 tptp.filling 1))) 42.78/43.33 (step-pop @p1002 :rule scope :premises (@p583)) 42.78/43.33 (step @p584 :rule process_scope :premises (@p1002) :args (@t314)) 42.78/43.33 (step @p586 :rule eq_resolve :premises (@p584 @p581)) 42.78/43.33 (step @p587 :rule implies_elim :premises (@p586)) 42.78/43.33 (step @p588 :rule chain_resolution :premises (@p587 @p524) :args (@t124 @t297)) 42.78/43.33 (step @p589 :rule cnf_and_pos :args (@t315 1)) 42.78/43.33 (step @p590 :rule reordering :premises (@p589) :args ((or @t291 (not @t315)))) 42.78/43.33 (step @p591 :rule chain_resolution :premises (@p590 @p541) :args (@t124 @t301)) 42.78/43.33 (step @p592 :rule cnf_equiv_pos1 :args (@t316)) 42.78/43.33 (step @p593 :rule reordering :premises (@p592) :args ((or @t317 @t315 (not @t316)))) 42.78/43.33 (step @p594 :rule chain_resolution :premises (@p593 @p591 @p588) :args (@t159 (@list @t315 @t316))) 42.78/43.33 (step @p595 :rule bool-double-not-elim :args (@t313)) 42.78/43.33 (step @p596 :rule refl :args (@t318)) 42.78/43.33 (step @p597 :rule nary_cong :premises (@p596 @p595) :args ((or @t318 (not @t317)))) 42.78/43.33 (step @p598 :rule cnf_or_neg :args (@t318 1)) 42.78/43.33 (step @p599 :rule eq_resolve :premises (@p598 @p597)) 42.78/43.33 (step @p600 :rule reordering :premises (@p599) :args ((or @t313 @t318))) 42.78/43.33 (step @p601 :rule chain_resolution :premises (@p600 @p594) :args (@t153 (@list @t313))) 42.78/43.33 (step @p602 :rule refl :args (@t319)) 42.78/43.33 (step @p603 :rule bool-double-not-elim :args (@t308)) 42.78/43.33 (step @p604 :rule nary_cong :premises (@p603 @p602) :args ((or (not @t309) @t319))) 42.78/43.33 (assume-push @p1004 @t309) 42.78/43.33 (step @p606 :rule skolemize :premises (@p1004)) 42.78/43.33 (step-pop @p1004 :rule scope :premises (@p606)) 42.78/43.33 (step @p607 :rule process_scope :premises (@p1004) :args (@t319)) 42.78/43.33 (step @p609 :rule implies_elim :premises (@p607)) 42.78/43.33 (step @p610 :rule eq_resolve :premises (@p609 @p604)) 42.78/43.33 (step @p611 :rule chain_resolution :premises (@p610 @p601) :args (@t124 (@list @t318))) 42.78/43.33 (step @p612 :rule aci_norm :args ((= (or (or @t105 @t320) @t104) @t321))) 42.78/43.33 (step @p613 :rule bool-or-de-morgan :args (@t18 @t7 false)) 42.78/43.33 (step @p614 :rule refl :args (@t105)) 42.78/43.33 (step @p615 :rule nary_cong :premises (@p614 @p613) :args ((or @t105 (not @t34)))) 42.78/43.33 (step @p616 :rule bool-and-de-morgan :args (@t10 @t34 true)) 42.78/43.33 (step @p617 :rule trans :premises (@p616 @p615)) 42.78/43.33 (step @p618 :rule nary_cong :premises (@p617 @p35) :args ((or (not @t35) @t104))) 42.78/43.33 (step @p619 :rule trans :premises (@p618 @p612)) 42.78/43.33 (step @p620 :rule bool-impl-elim :args (@t35 @t104)) 42.78/43.33 (step @p621 :rule trans :premises (@p620 @p619)) 42.78/43.33 (step @p622 :rule cong :premises (@p621) :args ((forall @t23 (=> @t35 @t104)))) 42.78/43.33 (step @p623 :rule refl :args (@t35)) 42.78/43.33 (step @p624 :rule cong :premises (@p623 @p50) :args (@t36)) 42.78/43.33 (step @p625 :rule cong :premises (@p624) :args (@t37)) 42.78/43.33 (step @p626 :rule trans :premises (@p625 @p622)) 42.78/43.33 (step @p627 :rule eq_resolve :premises (@p8 @p626)) 42.78/43.33 (step @p628 :rule evaluate :args (@t322)) 42.78/43.33 (step @p629 :rule cong :premises (@p628) :args (@t323)) 42.78/43.33 (step @p630 :rule cong :premises (@p288 @p629) :args (@t324)) 42.78/43.33 (step @p631 :rule cong :premises (@p630) :args (@t325)) 42.78/43.33 (step @p632 :rule refl :args (@t328)) 42.78/43.33 (step @p633 :rule refl :args (@t330)) 42.78/43.33 (step @p634 :rule nary_cong :premises (@p633 @p632 @p631) :args (@t331)) 42.78/43.33 (step @p635 :rule refl :args (@t332)) 42.78/43.33 (step @p636 :rule cong :premises (@p635 @p634) :args ((=> @t332 @t331))) 42.78/43.33 (assume-push @p1006 @t332) 42.78/43.33 (step @p638 :rule instantiate :premises (@p627) :args (@t333)) 42.78/43.33 (step-pop @p1006 :rule scope :premises (@p638)) 42.78/43.33 (step @p639 :rule process_scope :premises (@p1006) :args (@t331)) 42.78/43.33 (step @p641 :rule eq_resolve :premises (@p639 @p636)) 42.78/43.33 (step @p642 :rule implies_elim :premises (@p641)) 42.78/43.33 (step @p643 :rule chain_resolution :premises (@p642 @p627) :args (@t124 (@list @t332))) 42.78/43.33 (step @p644 :rule bool-eq-true :args (@t326)) 42.78/43.33 (step @p645 :rule absorb :args ((= (or @t336 @t335 (and @t145 @t79) true) true))) 42.78/43.33 (step @p646 :rule eq-refl :args (tptp.tapOn)) 42.78/43.33 (step @p647 :rule nary_cong :premises (@p646 @p328) :args (@t338)) 42.78/43.33 (step @p648 :rule trans :premises (@p647 @p262)) 42.78/43.33 (step @p649 :rule refl :args (@t79)) 42.78/43.33 (step @p650 :rule eq-symm :args (tptp.filling tptp.spilling)) 42.78/43.33 (step @p651 :rule nary_cong :premises (@p650 @p649) :args (@t339)) 42.78/43.33 (step @p652 :rule refl :args (@t335)) 42.78/43.33 (step @p653 :rule refl :args (@t336)) 42.78/43.33 (step @p654 :rule nary_cong :premises (@p653 @p652 @p651 @p648) :args (@t340)) 42.78/43.33 (step @p655 :rule trans :premises (@p654 @p645)) 42.78/43.33 (step @p656 :rule refl :args (@t326)) 42.78/43.33 (step @p657 :rule cong :premises (@p656 @p655) :args (@t341)) 42.78/43.33 (step @p658 :rule trans :premises (@p657 @p644)) 42.78/43.33 (step @p659 :rule cong :premises (@p279 @p658) :args ((=> @t210 @t341))) 42.78/43.33 (assume-push @p1008 @t210) 42.78/43.33 (step @p661 :rule instantiate :premises (@p257) :args ((@list tptp.tapOn tptp.filling 0))) 42.78/43.33 (step-pop @p1008 :rule scope :premises (@p661)) 42.78/43.33 (step @p662 :rule process_scope :premises (@p1008) :args (@t341)) 42.78/43.33 (step @p664 :rule eq_resolve :premises (@p662 @p659)) 42.78/43.33 (step @p665 :rule implies_elim :premises (@p664)) 42.78/43.33 (step @p666 :rule chain_resolution :premises (@p665 @p257) :args (@t124 @t211)) 42.78/43.33 (step @p667 :rule cnf_and_pos :args (@t328 0)) 42.78/43.33 (step @p668 :rule reordering :premises (@p667) :args ((or @t327 (not @t328)))) 42.78/43.33 (step @p669 :rule chain_resolution :premises (@p668 @p666) :args (@t124 (@list @t326))) 42.78/43.33 (step @p670 :rule bool-eq-true :args (@t329)) 42.78/43.33 (step @p671 :rule absorb :args ((= (or true @t342) true))) 42.78/43.33 (step @p672 :rule refl :args (@t342)) 42.78/43.33 (step @p673 :rule evaluate :args (@t343)) 42.78/43.33 (step @p674 :rule nary_cong :premises (@p646 @p673) :args (@t344)) 42.78/43.33 (step @p675 :rule trans :premises (@p674 @p262)) 42.78/43.33 (step @p676 :rule nary_cong :premises (@p675 @p672) :args (@t345)) 42.78/43.33 (step @p677 :rule trans :premises (@p676 @p671)) 42.78/43.33 (step @p678 :rule refl :args (@t329)) 42.78/43.33 (step @p679 :rule cong :premises (@p678 @p677) :args (@t346)) 42.78/43.33 (step @p680 :rule trans :premises (@p679 @p670)) 42.78/43.33 (step @p681 :rule cong :premises (@p432 @p680) :args ((=> @t268 @t346))) 42.78/43.33 (assume-push @p1010 @t268) 42.78/43.33 (step @p683 :rule instantiate :premises (@p420) :args ((@list tptp.tapOn 0))) 42.78/43.33 (step-pop @p1010 :rule scope :premises (@p683)) 42.78/43.33 (step @p684 :rule process_scope :premises (@p1010) :args (@t346)) 42.78/43.33 (step @p686 :rule eq_resolve :premises (@p684 @p681)) 42.78/43.33 (step @p687 :rule implies_elim :premises (@p686)) 42.78/43.33 (step @p688 :rule chain_resolution :premises (@p687 @p420) :args (@t124 @t269)) 42.78/43.33 (step @p689 :rule cnf_or_pos :args (@t348)) 42.78/43.33 (step @p690 :rule reordering :premises (@p689) :args ((or @t330 @t328 @t347 (not @t348)))) 42.78/43.33 (step @p691 :rule chain_resolution :premises (@p690 @p688 @p669 @p643) :args (@t349 (@list @t329 @t328 @t348))) 42.78/43.33 (step @p692 :rule cnf_or_pos :args (@t351)) 42.78/43.33 (step @p693 :rule reordering :premises (@p692) :args ((or @t307 @t350 @t309 (not @t351)))) 42.78/43.33 (step @p694 :rule chain_resolution :premises (@p693 @p691 @p611 @p576) :args (@t257 (@list @t307 @t308 @t351))) 42.78/43.33 (step @p695 :rule cnf_or_pos :args (@t354)) 42.78/43.33 (step @p696 :rule reordering :premises (@p695) :args ((or @t276 @t353 @t278 (not @t354)))) 42.78/43.33 (step @p697 :rule chain_resolution :premises (@p696 @p694 @p564 @p501) :args (@t257 (@list @t276 @t277 @t354))) 42.78/43.33 (step @p698 :rule not_or_elim :premises (@p27) :args (1)) 42.78/43.33 (step @p699 :rule cnf_or_pos :args (@t355)) 42.78/43.33 (step @p700 :rule reordering :premises (@p699) :args ((or @t94 @t223 @t352 @t226 (not @t355)))) 42.78/43.33 (step @p701 :rule chain_resolution :premises (@p700 @p698 @p697 @p489 @p314) :args ((@list true true false false) (@list @t94 @t352 @t225 @t355))) 42.78/43.33 (step @p702 :rule cong :premises (@p288 @p629) :args (@t356)) 42.78/43.33 (step @p703 :rule refl :args (@t327)) 42.78/43.33 (step @p704 :rule nary_cong :premises (@p633 @p703 @p702) :args (@t357)) 42.78/43.33 (step @p705 :rule cong :premises (@p193 @p704) :args ((=> @t173 @t357))) 42.78/43.33 (assume-push @p1012 @t173) 42.78/43.33 (step @p707 :rule instantiate :premises (@p186) :args (@t333)) 42.78/43.33 (step-pop @p1012 :rule scope :premises (@p707)) 42.78/43.33 (step @p708 :rule process_scope :premises (@p1012) :args (@t357)) 42.78/43.33 (step @p710 :rule eq_resolve :premises (@p708 @p705)) 42.78/43.33 (step @p711 :rule implies_elim :premises (@p710)) 42.78/43.33 (step @p712 :rule chain_resolution :premises (@p711 @p186) :args (@t124 @t174)) 42.78/43.33 (step @p713 :rule cnf_or_pos :args (@t358)) 42.78/43.33 (step @p714 :rule reordering :premises (@p713) :args ((or @t330 @t213 @t327 (not @t358)))) 42.78/43.33 (step @p715 :rule chain_resolution :premises (@p714 @p688 @p666 @p712) :args (@t359 (@list @t329 @t326 @t358))) 42.78/43.33 (step @p716 :rule cnf_or_pos :args (@t360)) 42.78/43.33 (step @p717 :rule reordering :premises (@p716) :args ((or @t214 @t218 @t276 @t222 (not @t360)))) 42.78/43.33 (step @p718 :rule chain_resolution :premises (@p717 @p715 @p694 @p701 @p301) :args ((@list false true true false) (@list @t213 @t276 @t222 @t360))) 42.78/43.33 (step @p719 :rule refl :args (@t365)) 42.78/43.33 (step @p720 :rule bool-double-not-elim :args (@t217)) 42.78/43.33 (step @p721 :rule nary_cong :premises (@p720 @p719) :args ((or (not @t218) @t365))) 42.78/43.33 (assume-push @p1014 @t218) 42.78/43.33 (step @p723 :rule skolemize :premises (@p1014)) 42.78/43.33 (step-pop @p1014 :rule scope :premises (@p723)) 42.78/43.33 (step @p724 :rule process_scope :premises (@p1014) :args (@t365)) 42.78/43.33 (step @p726 :rule implies_elim :premises (@p724)) 42.78/43.33 (step @p727 :rule eq_resolve :premises (@p726 @p721)) 42.78/43.33 (step @p728 :rule chain_resolution :premises (@p727 @p718) :args (@t153 (@list @t217))) 42.78/43.33 (step @p729 :rule bool-double-not-elim :args (@t362)) 42.78/43.33 (step @p730 :rule refl :args (@t364)) 42.78/43.33 (step @p731 :rule nary_cong :premises (@p730 @p729) :args ((or @t364 (not @t363)))) 42.78/43.33 (step @p732 :rule cnf_or_neg :args (@t364 1)) 42.78/43.33 (step @p733 :rule eq_resolve :premises (@p732 @p731)) 42.78/43.33 (step @p734 :rule reordering :premises (@p733) :args ((or @t362 @t364))) 42.78/43.33 (step @p735 :rule chain_resolution :premises (@p734 @p728) :args (@t153 (@list @t364))) 42.78/43.33 (step @p736 :rule aci_norm :args ((= (or false @t368) @t368))) 42.78/43.33 (step @p737 :rule refl :args (@t213)) 42.78/43.33 (step @p738 :rule eq-symm :args (@t361 tptp.overflow)) 42.78/43.33 (step @p739 :rule refl :args (@t367)) 42.78/43.33 (step @p740 :rule nary_cong :premises (@p739 @p738 @p737) :args (@t369)) 42.78/43.33 (step @p741 :rule absorb :args ((= (and (= tptp.tapOn @t361) false) false))) 42.78/43.33 (step @p742 :rule evaluate :args (@t370)) 42.78/43.33 (step @p743 :rule eq-symm :args (@t361 tptp.tapOn)) 42.78/43.33 (step @p744 :rule nary_cong :premises (@p743 @p742) :args (@t371)) 42.78/43.33 (step @p745 :rule trans :premises (@p744 @p741)) 42.78/43.33 (step @p746 :rule nary_cong :premises (@p745 @p740) :args (@t372)) 42.78/43.33 (step @p747 :rule trans :premises (@p746 @p736)) 42.78/43.33 (step @p748 :rule refl :args (@t362)) 42.78/43.33 (step @p749 :rule cong :premises (@p748 @p747) :args (@t373)) 42.78/43.33 (step @p750 :rule cong :premises (@p432 @p749) :args ((=> @t268 @t373))) 42.78/43.33 (assume-push @p1016 @t268) 42.78/43.33 (step @p752 :rule instantiate :premises (@p420) :args ((@list @t361 1))) 42.78/43.33 (step-pop @p1016 :rule scope :premises (@p752)) 42.78/43.33 (step @p753 :rule process_scope :premises (@p1016) :args (@t373)) 42.78/43.33 (step @p755 :rule eq_resolve :premises (@p753 @p750)) 42.78/43.33 (step @p756 :rule implies_elim :premises (@p755)) 42.78/43.33 (step @p757 :rule chain_resolution :premises (@p756 @p420) :args (@t124 @t269)) 42.78/43.33 (step @p758 :rule cnf_equiv_pos1 :args (@t374)) 42.78/43.33 (step @p759 :rule reordering :premises (@p758) :args ((or @t363 @t368 (not @t374)))) 42.78/43.33 (assume-push @p1018 @t362) 42.78/43.33 (assume-push @p1019 @t366) 42.78/43.33 (assume-push @p1020 @t362) 42.78/43.33 (assume-push @p1021 @t366) 42.78/43.33 (step @p764 :rule true_intro :premises (@p1018)) 42.78/43.33 (step @p765 :rule refl :args (@t167)) 42.78/43.33 (step @p766 :rule cong :premises (@p1019 @p765) :args (@t170)) 42.78/43.33 (step @p767 :rule trans :premises (@p766 @p764)) 42.78/43.33 (step @p768 :rule true_elim :premises (@p767)) 42.78/43.33 (step-pop @p1021 :rule scope :premises (@p768)) 42.78/43.33 (step-pop @p1022 :rule scope :premises (@p1021)) 42.78/43.33 (step @p769 :rule process_scope :premises (@p1022) :args (@t170)) 42.78/43.33 (step @p772 :rule and_intro :premises (@p1018 @p1019)) 42.78/43.33 (step @p773 :rule modus_ponens :premises (@p772 @p769)) 42.78/43.33 (step-pop @p1023 :rule scope :premises (@p773)) 42.78/43.33 (step-pop @p1024 :rule scope :premises (@p1023)) 42.78/43.33 (step @p774 :rule process_scope :premises (@p1024) :args (@t170)) 42.78/43.33 (step @p777 :rule implies_elim :premises (@p774)) 42.78/43.33 (step @p778 :rule cnf_and_neg :args (@t375)) 42.78/43.33 (step @p779 :rule resolution :premises (@p778 @p777) :args (true @t375)) 42.78/43.33 (step @p780 :rule cnf_and_pos :args (@t368 1)) 42.78/43.33 (step @p781 :rule reordering :premises (@p780) :args ((or @t366 (not @t368)))) 42.78/43.33 (step @p782 :rule chain_resolution :premises (@p781 @p779 @p759 @p757) :args (@t257 (@list @t366 @t368 @t374))) 42.78/43.33 (step @p783 :rule factoring :premises (@p782)) 42.78/43.33 (step @p784 :rule chain_resolution :premises (@p783 @p735) :args (@t124 (@list @t362))) 42.78/43.33 (step @p785 :rule cnf_or_pos :args (@t376)) 42.78/43.33 (step @p786 :rule reordering :premises (@p785) :args ((or @t137 @t171 @t169 (not @t376)))) 42.78/43.33 (step @p787 :rule chain_resolution :premises (@p786 @p784 @p287 @p201) :args (@t359 (@list @t170 @t168 @t376))) 42.78/43.33 (step @p788 :rule cnf_or_pos :args (@t378)) 42.78/43.33 (step @p789 :rule reordering :premises (@p788) :args ((or @t95 @t377 @t138 @t140 (not @t378)))) 42.78/43.33 (step @p790 :rule chain_resolution :premises (@p789 @p380 @p787 @p174 @p127) :args ((@list true false false false) (@list @t95 @t137 @t139 @t378))) 42.78/43.33 (step @p791 :rule cong :premises (@p67 @p188) :args (@t379)) 42.78/43.33 (step @p792 :rule cong :premises (@p791) :args (@t380)) 42.78/43.33 (step @p793 :rule refl :args (@t381)) 42.78/43.33 (step @p794 :rule refl :args (@t383)) 42.78/43.33 (step @p795 :rule nary_cong :premises (@p794 @p793 @p792) :args (@t384)) 42.78/43.33 (step @p796 :rule cong :premises (@p73 @p795) :args ((=> @t122 @t384))) 42.78/43.33 (assume-push @p1026 @t122) 42.78/43.33 (step @p798 :rule instantiate :premises (@p64) :args ((@list tptp.spilling 1))) 42.78/43.33 (step-pop @p1026 :rule scope :premises (@p798)) 42.78/43.33 (step @p799 :rule process_scope :premises (@p1026) :args (@t384)) 42.78/43.33 (step @p801 :rule eq_resolve :premises (@p799 @p796)) 42.78/43.33 (step @p802 :rule implies_elim :premises (@p801)) 42.78/43.33 (step @p803 :rule chain_resolution :premises (@p802 @p64) :args (@t124 @t125)) 42.78/43.33 (step @p804 :rule refl :args (@t386)) 42.78/43.33 (step @p805 :rule eq-symm :args (@t387 tptp.tapOn)) 42.78/43.33 (step @p806 :rule nary_cong :premises (@p805 @p804) :args (@t388)) 42.78/43.33 (step @p807 :rule refl :args (@t389)) 42.78/43.33 (step @p808 :rule cong :premises (@p807 @p806) :args (@t390)) 42.78/43.33 (step @p809 :rule cong :premises (@p530 @p808) :args ((=> @t296 @t390))) 42.78/43.33 (assume-push @p1028 @t296) 42.78/43.33 (step @p811 :rule instantiate :premises (@p524) :args ((@list @t387 tptp.spilling 1))) 42.78/43.33 (step-pop @p1028 :rule scope :premises (@p811)) 42.78/43.33 (step @p812 :rule process_scope :premises (@p1028) :args (@t390)) 42.78/43.33 (step @p814 :rule eq_resolve :premises (@p812 @p809)) 42.78/43.33 (step @p815 :rule implies_elim :premises (@p814)) 42.78/43.33 (step @p816 :rule chain_resolution :premises (@p815 @p524) :args (@t124 @t297)) 42.78/43.33 (step @p817 :rule alpha_equiv :args (@t81 @t298 @t299)) 42.78/43.33 (step @p818 :rule equiv_elim1 :premises (@p817)) 42.78/43.33 (step @p819 :rule chain_resolution :premises (@p818 @p23) :args (@t124 (@list @t81))) 42.78/43.33 (step @p820 :rule cnf_and_pos :args (@t391 1)) 42.78/43.33 (step @p821 :rule reordering :premises (@p820) :args ((or @t386 (not @t391)))) 42.78/43.33 (step @p822 :rule chain_resolution :premises (@p821 @p819) :args (@t124 @t392)) 42.78/43.33 (step @p823 :rule cnf_equiv_pos1 :args (@t393)) 42.78/43.33 (step @p824 :rule reordering :premises (@p823) :args ((or @t394 @t391 (not @t393)))) 42.78/43.33 (step @p825 :rule chain_resolution :premises (@p824 @p822 @p816) :args (@t159 (@list @t391 @t393))) 42.78/43.33 (step @p826 :rule bool-double-not-elim :args (@t389)) 42.78/43.33 (step @p827 :rule refl :args (@t395)) 42.78/43.33 (step @p828 :rule nary_cong :premises (@p827 @p826) :args ((or @t395 (not @t394)))) 42.78/43.33 (step @p829 :rule cnf_or_neg :args (@t395 1)) 42.78/43.33 (step @p830 :rule eq_resolve :premises (@p829 @p828)) 42.78/43.33 (step @p831 :rule reordering :premises (@p830) :args ((or @t389 @t395))) 42.78/43.33 (step @p832 :rule chain_resolution :premises (@p831 @p825) :args (@t153 (@list @t389))) 42.78/43.33 (step @p833 :rule refl :args (@t396)) 42.78/43.33 (step @p834 :rule bool-double-not-elim :args (@t382)) 42.78/43.33 (step @p835 :rule nary_cong :premises (@p834 @p833) :args ((or (not @t383) @t396))) 42.78/43.33 (assume-push @p1030 @t383) 42.78/43.33 (step @p837 :rule skolemize :premises (@p1030)) 42.78/43.33 (step-pop @p1030 :rule scope :premises (@p837)) 42.78/43.33 (step @p838 :rule process_scope :premises (@p1030) :args (@t396)) 42.78/43.33 (step @p840 :rule implies_elim :premises (@p838)) 42.78/43.33 (step @p841 :rule eq_resolve :premises (@p840 @p835)) 42.78/43.33 (step @p842 :rule chain_resolution :premises (@p841 @p832) :args (@t124 (@list @t395))) 42.78/43.33 (step @p843 :rule cong :premises (@p67 @p629) :args (@t397)) 42.78/43.33 (step @p844 :rule cong :premises (@p843) :args (@t398)) 42.78/43.33 (step @p845 :rule refl :args (@t99)) 42.78/43.33 (step @p846 :rule refl :args (@t400)) 42.78/43.33 (step @p847 :rule nary_cong :premises (@p846 @p845 @p844) :args (@t401)) 42.78/43.33 (step @p848 :rule cong :premises (@p73 @p847) :args ((=> @t122 @t401))) 42.78/43.33 (assume-push @p1032 @t122) 42.78/43.33 (step @p850 :rule instantiate :premises (@p64) :args ((@list tptp.spilling 0))) 42.78/43.33 (step-pop @p1032 :rule scope :premises (@p850)) 42.78/43.33 (step @p851 :rule process_scope :premises (@p1032) :args (@t401)) 42.78/43.33 (step @p853 :rule eq_resolve :premises (@p851 @p848)) 42.78/43.33 (step @p854 :rule implies_elim :premises (@p853)) 42.78/43.33 (step @p855 :rule chain_resolution :premises (@p854 @p64) :args (@t124 @t125)) 42.78/43.34 (step @p856 :rule eq-symm :args (@t402 tptp.tapOn)) 42.78/43.34 (step @p857 :rule nary_cong :premises (@p856 @p804) :args (@t403)) 42.78/43.34 (step @p858 :rule refl :args (@t404)) 42.78/43.34 (step @p859 :rule cong :premises (@p858 @p857) :args (@t405)) 42.78/43.34 (step @p860 :rule cong :premises (@p530 @p859) :args ((=> @t296 @t405))) 42.78/43.34 (assume-push @p1034 @t296) 42.78/43.34 (step @p862 :rule instantiate :premises (@p524) :args ((@list @t402 tptp.spilling 0))) 42.78/43.34 (step-pop @p1034 :rule scope :premises (@p862)) 42.78/43.34 (step @p863 :rule process_scope :premises (@p1034) :args (@t405)) 42.78/43.34 (step @p865 :rule eq_resolve :premises (@p863 @p860)) 42.78/43.34 (step @p866 :rule implies_elim :premises (@p865)) 42.78/43.34 (step @p867 :rule chain_resolution :premises (@p866 @p524) :args (@t124 @t297)) 42.78/43.34 (step @p868 :rule cnf_and_pos :args (@t406 1)) 42.78/43.34 (step @p869 :rule reordering :premises (@p868) :args ((or @t386 (not @t406)))) 42.78/43.34 (step @p870 :rule chain_resolution :premises (@p869 @p819) :args (@t124 @t392)) 42.78/43.34 (step @p871 :rule cnf_equiv_pos1 :args (@t407)) 42.78/43.34 (step @p872 :rule reordering :premises (@p871) :args ((or @t408 @t406 (not @t407)))) 42.78/43.34 (step @p873 :rule chain_resolution :premises (@p872 @p870 @p867) :args (@t159 (@list @t406 @t407))) 42.78/43.34 (step @p874 :rule bool-double-not-elim :args (@t404)) 42.78/43.34 (step @p875 :rule refl :args (@t409)) 42.78/43.34 (step @p876 :rule nary_cong :premises (@p875 @p874) :args ((or @t409 (not @t408)))) 42.78/43.34 (step @p877 :rule cnf_or_neg :args (@t409 1)) 42.78/43.34 (step @p878 :rule eq_resolve :premises (@p877 @p876)) 42.78/43.34 (step @p879 :rule reordering :premises (@p878) :args ((or @t404 @t409))) 42.78/43.34 (step @p880 :rule chain_resolution :premises (@p879 @p873) :args (@t153 (@list @t404))) 42.78/43.34 (step @p881 :rule refl :args (@t410)) 42.78/43.34 (step @p882 :rule bool-double-not-elim :args (@t399)) 42.78/43.34 (step @p883 :rule nary_cong :premises (@p882 @p881) :args ((or (not @t400) @t410))) 42.78/43.34 (assume-push @p1036 @t400) 42.78/43.34 (step @p885 :rule skolemize :premises (@p1036)) 42.78/43.34 (step-pop @p1036 :rule scope :premises (@p885)) 42.78/43.34 (step @p886 :rule process_scope :premises (@p1036) :args (@t410)) 42.78/43.34 (step @p888 :rule implies_elim :premises (@p886)) 42.78/43.34 (step @p889 :rule eq_resolve :premises (@p888 @p883)) 42.78/43.34 (step @p890 :rule chain_resolution :premises (@p889 @p880) :args (@t124 (@list @t409))) 42.78/43.34 (step @p891 :rule cnf_or_pos :args (@t412)) 42.78/43.34 (step @p892 :rule reordering :premises (@p891) :args ((or @t99 @t411 @t400 (not @t412)))) 42.78/43.34 (step @p893 :rule chain_resolution :premises (@p892 @p31 @p890 @p855) :args (@t257 (@list @t99 @t399 @t412))) 42.78/43.34 (step @p894 :rule cnf_or_pos :args (@t414)) 42.78/43.34 (step @p895 :rule reordering :premises (@p894) :args ((or @t381 @t413 @t383 (not @t414)))) 42.78/43.34 (step @p896 :rule chain_resolution :premises (@p895 @p893 @p842 @p803) :args (@t257 (@list @t381 @t382 @t414))) 42.78/43.34 (step @p897 :rule cnf_or_pos :args (@t416)) 42.78/43.34 (step @p898 :rule reordering :premises (@p897) :args ((or @t117 @t415 @t120 (not @t416)))) 42.78/43.34 (step @p899 :rule chain_resolution :premises (@p898 @p896 @p790 @p81) :args (@t257 (@list @t117 @t377 @t416))) 42.78/43.34 (step @p900 :rule refl :args (@t421)) 42.78/43.34 (step @p901 :rule bool-double-not-elim :args (@t119)) 42.78/43.34 (step @p902 :rule nary_cong :premises (@p901 @p900) :args ((or (not @t120) @t421))) 42.78/43.34 (assume-push @p1038 @t120) 42.78/43.34 (step @p904 :rule skolemize :premises (@p1038)) 42.78/43.34 (step-pop @p1038 :rule scope :premises (@p904)) 42.78/43.34 (step @p905 :rule process_scope :premises (@p1038) :args (@t421)) 42.78/43.34 (step @p907 :rule implies_elim :premises (@p905)) 42.78/43.34 (step @p908 :rule eq_resolve :premises (@p907 @p902)) 42.78/43.34 (step @p909 :rule chain_resolution :premises (@p908 @p899) :args (@t153 (@list @t119))) 42.78/43.34 (step @p910 :rule bool-double-not-elim :args (@t418)) 42.78/43.34 (step @p911 :rule refl :args (@t420)) 42.78/43.34 (step @p912 :rule nary_cong :premises (@p911 @p910) :args ((or @t420 (not @t419)))) 42.78/43.34 (step @p913 :rule cnf_or_neg :args (@t420 0)) 42.78/43.34 (step @p914 :rule eq_resolve :premises (@p913 @p912)) 42.78/43.34 (step @p915 :rule reordering :premises (@p914) :args ((or @t418 @t420))) 42.78/43.34 (step @p916 :rule chain_resolution :premises (@p915 @p909) :args (@t153 (@list @t420))) 42.78/43.34 (step @p917 :rule cnf_and_pos :args (@t422 2)) 42.78/43.34 (step @p918 :rule reordering :premises (@p917) :args ((or @t222 (not @t422)))) 42.78/43.34 (step @p919 :rule chain_resolution :premises (@p918 @p701) :args (@t153 (@list @t222))) 42.78/43.34 (step @p920 :rule aci_norm :args ((= (or false @t422) @t422))) 42.78/43.34 (step @p921 :rule refl :args (@t222)) 42.78/43.34 (step @p922 :rule eq-symm :args (@t417 tptp.overflow)) 42.78/43.34 (step @p923 :rule refl :args (@t261)) 42.78/43.34 (step @p924 :rule nary_cong :premises (@p923 @p922 @p921) :args (@t423)) 42.78/43.34 (step @p925 :rule absorb :args ((= (and (= tptp.tapOn @t417) false) false))) 42.78/43.34 (step @p926 :rule eq-symm :args (@t417 tptp.tapOn)) 42.78/43.34 (step @p927 :rule nary_cong :premises (@p926 @p424) :args (@t424)) 42.78/43.34 (step @p928 :rule trans :premises (@p927 @p925)) 42.78/43.34 (step @p929 :rule nary_cong :premises (@p928 @p924) :args (@t425)) 42.78/43.34 (step @p930 :rule trans :premises (@p929 @p920)) 42.78/43.34 (step @p931 :rule refl :args (@t418)) 42.78/43.34 (step @p932 :rule cong :premises (@p931 @p930) :args (@t426)) 42.78/43.34 (step @p933 :rule cong :premises (@p432 @p932) :args ((=> @t268 @t426))) 42.78/43.34 (assume-push @p1040 @t268) 42.78/43.34 (step @p935 :rule instantiate :premises (@p420) :args ((@list @t417 2))) 42.78/43.34 (step-pop @p1040 :rule scope :premises (@p935)) 42.78/43.34 (step @p936 :rule process_scope :premises (@p1040) :args (@t426)) 42.78/43.34 (step @p938 :rule eq_resolve :premises (@p936 @p933)) 42.78/43.34 (step @p939 :rule implies_elim :premises (@p938)) 42.78/43.34 (step @p940 :rule chain_resolution :premises (@p939 @p420) :args (@t124 @t269)) 42.78/43.34 (step @p941 :rule cnf_equiv_pos1 :args (@t427)) 42.78/43.34 (step @p942 :rule reordering :premises (@p941) :args ((or @t419 @t422 (not @t427)))) 42.78/43.34 (step @p943 false :rule chain_resolution :premises (@p942 @p940 @p919 @p916) :args (@t349 (@list @t427 @t422 @t418))) 42.78/43.34 ) 42.78/43.34 % SZS output end Proof 42.78/43.34 % cvc5 exiting 42.78/43.34 EOF